Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 741, 6909, 5759, 269, 1284, 917, 1018, 596, 1522, 581, 3206, 281, 834, 8469, 8148, 1686, 286, 2334, 4992, 19309, 10590, 4270, 267, 31617, 909, 267, 1317, 676, 519, 1439, 540, 713, 3184, 267, 596, 3513, 8275, 1175, 875, 5863, 543, 2962, 1790, 17977, 713, 5736, 1223, 581, 2439, 5575, 267, 1577, 781, 2743, 835, 971, 1915, 945, 6770, 891, 13858, 2053, 547, 1272, 1107, 4563, 14088, 269, 1261, 949, 1413, 899, 606, 8723, 812, 267, 855, 3494, 721, 267, 972, 781, 4986, 8723, 827, 1864, 256, 670, 9430, 689, 3504, 5527, 267, 4563, 14088, 19299, 9058, 7060, 602, 1131, 4734, 1256, 2221, 781, 27568, 538, 25713, 269, 1924, 267, 1018, 2306, 1864, 865, 2189, 3379, 547, 1866, 286, 634, 2626, 6013, 538, 875, 1010, 7060, 616, 3254, 593, 5496, 269, 9521, 824, 2706, 21065, 753, 267, 4563, 14088, 3085, 1405, 3180, 1394, 282, 3079, 267, 646, 25793, 10449, 873, 609, 6151, 1648, 267, 3196, 267, 543, 8515, 269, 3571, 3527, 7618, 721, 540, 3532, 10120, 9604, 543, 13137, 267, 1818, 1169, 6429, 1745, 607, 952, 621, 941, 678, 5792, 2786, 689, 1346, 27093, 3140, 3817, 780, 3086, 4952, 1373, 16487, 1394, 547, 10120, 2342, 1282, 519, 2085, 540, 29843, 267, 28151, 267, 543, 15438, 269, 5994, 26164, 18979, 12959, 1141, 21847, 804, 14414, 32639, 543, 695, 3658, 267, 6028, 3297, 18162, 540, 7452, 543, 8990, 269, 3767, 24244, 602, 3239, 609, 513, 20057, 548, 540, 28531, 2609, 899, 9059, 28542, 16213, 22645, 10760, 16841, 20196, 781, 9247, 1018, 7487, 4563, 14088, 781, 7060, 7959, 899, 2439, 9961, 1686, 267, 1004, 16545, 3677, 31032, 3734, 5515, 18220, 532, 1379, 543, 4222, 269, 3245, 4173, 6047, 538, 5259, 13299, 547, 29028, 538, 17454, 29509, 3332, 267, 8941, 540, 12473, 12325, 6949, 730, 7184, 1369, 7239, 1287, 630, 663, 1869, 798, 1631, 1040, 6684, 267, 4563, 14088, 4564, 513, 2413, 1491, 593, 602, 1482, 18840, 6943, 269, 2060, 1142, 17500, 30021, 646, 13847, 610, 2497, 646, 21933, 3438, 919, 267, 646, 17188, 4630, 720, 547, 519, 6891, 540, 891, 19416, 3197, 1247, 21130, 873, 585, 4207, 9458, 780, 3383, 1985, 942, 596, 5873, 2576, 14962, 10120, 1686, 607, 20585, 610, 13061, 267, 3314, 602, 930, 540, 519, 6574, 2984, 2479, 5143, 3357, 689, 713, 1974, 269, 1656, 3006, 267, 547, 5963, 5660, 891, 6386, 267, 649, 991, 5499, 1650, 339, 25527, 899, 1346, 3297, 4563, 14088, 547, 3142, 1007, 5380, 543, 10761, 547, 6502, 2250, 269, 5808, 6487, 286, 9320, 1310, 18167, 883, 713, 1158, 267, 596, 1932, 786, 1265, 3054, 26970, 676, 519, 561, 648, 543, 9371, 540, 10120, 1686, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14937, 14088, 568, 1631, 856, 538, 519, 11596, 543, 568, 2907, 21959, 1359, 513, 7168, 1390, 3210, 269, 1306, 519, 9823, 6836, 543, 3020, 267, 1034, 540, 596, 723, 4440, 2938, 621, 2907, 610, 693, 2547, 723, 4566, 547, 1294, 621, 538, 519, 2282, 2104, 269, 1403, 596, 1810, 1406, 267, 1498, 267, 6148, 594, 666, 948, 32022, 707, 2247, 269, 2991, 782, 267, 713, 7260, 568, 513, 7168, 2462, 4308, 950, 621, 2501, 547, 519, 2104, 540, 519, 667, 4753, 308, 269, 1809, 952, 602, 779, 711, 2614, 540, 606, 1303, 823, 618, 267, 1934, 616, 513, 1906, 811, 4128, 1946, 596, 1058, 2212, 547, 519, 2789, 343, 713, 3018, 563, 4415, 27568, 11173, 547, 20441, 693, 519, 4216, 5604, 267, 547, 2161, 4986, 827, 519, 9118, 18297, 19093, 543, 8613, 5121, 267, 621, 779, 1100, 3476, 513, 3209, 3364, 547, 1294, 2706, 335, 10183, 4547, 547, 1272, 593, 5496, 269, 1717, 267, 609, 4563, 14088, 267, 621, 779, 711, 3274, 602, 646, 814, 7060, 267, 855, 875, 789, 616, 13269, 269, 570, 996, 268, 3849, 600, 6411, 609, 2370, 27047, 842, 267, 543, 1010, 7060, 1360, 1454, 2992, 713, 267, 21074, 532, 593, 31653, 609, 7542, 6290, 543, 8515, 269, 901, 568, 519, 1034, 3078, 267, 17938, 1791, 908, 4159, 540, 2706, 16058, 2702, 2322, 593, 31653, 2094, 2494, 540, 13082, 5176, 513, 546, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 8466, 1315, 19744, 3778, 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, 8080, 547, 938, 21777, 3184, 782, 827, 2564, 13675, 4255, 256, 1411, 1522, 581, 11842, 1946, 649, 616, 1565, 827, 713, 1631, 950, 596, 10093, 1405, 1256, 3323, 1164, 1153, 2943, 269, 4270, 267, 621, 781, 2141, 1434, 547, 1205, 6619, 540, 1919, 543, 1451, 1007, 1983, 2038, 593, 269, 4653, 267, 649, 786, 4685, 883, 835, 1808, 1826, 540, 2564, 13675, 1449, 1572, 519, 645, 21316, 267, 799, 6763, 585, 834, 18693, 32441, 23670, 3827, 4530, 2668, 901, 1449, 2337, 3313, 952, 2576, 814, 1018, 621, 3217, 547, 8011, 538, 4610, 899, 4915, 267, 18915, 2257, 267, 543, 7350, 269, 1924, 1577, 781, 1265, 856, 811, 2439, 5331, 1373, 513, 10196, 945, 6499, 547, 3605, 524, 999, 585, 3676, 610, 4137, 856, 875, 2713, 7919, 960, 269, 2334, 1131, 2154, 6266, 540, 3206, 267, 1966, 6061, 267, 1620, 3621, 2035, 267, 543, 14379, 707, 4555, 3927, 1765, 718, 540, 799, 616, 11117, 998, 519, 645, 21316, 269, 19196, 1746, 267, 1318, 286, 2913, 781, 2736, 1524, 519, 1114, 2694, 540, 713, 1449, 865, 602, 596, 666, 1294, 1175, 875, 4241, 621, 2731, 568, 780, 5575, 909, 568, 8791, 476, 272, 1107, 589, 696, 3363, 543, 10341, 269, 901, 851, 3800, 707, 2565, 3206, 5759, 269, 6056, 540, 3054, 607, 15593, 6674, 29385, 3843, 547, 4194, 13655, 1210, 10881, 3177, 269, 1703, 4465, 1405, 581, 1022, 7294, 2979, 4834, 1934, 282, 3079, 267, 596, 3513, 2626, 476, 3374, 2789, 31547, 2055, 2966, 547, 4161, 707, 7744, 543, 9266, 3206, 1983, 1369, 476, 2568, 3764, 269, 16319, 1187, 286, 3371, 781, 606, 1383, 2243, 2147, 547, 1346, 1336, 538, 8791, 476, 272, 1384, 9223, 281, 1403, 1169, 5858, 4564, 19969, 543, 4009, 4564, 31081, 17965, 267, 1287, 799, 3337, 1655, 6257, 513, 1268, 945, 3006, 6645, 519, 5168, 855, 849, 6013, 12212, 888, 288, 264, 21121, 454, 289, 264, 12384, 454, 290, 264, 17781, 454, 291, 264, 10060, 692, 307, 4459, 344, 267, 3884, 1405, 621, 286, 1809, 1810, 1405, 5855, 267, 2259, 2306, 3501, 269, 2060, 2614, 4598, 543, 1995, 267, 21264, 532, 971, 13410, 3587, 4443, 936, 942, 780, 9202, 267, 649, 723, 8791, 476, 273, 1107, 11660, 11310, 543, 10241, 269, 5213, 1405, 11784, 952, 596, 1589, 713, 4992, 1932, 2352, 269, 5457, 267, 596, 2811, 1869, 538, 1647, 1153, 267, 543, 972, 781, 1100, 991, 547, 917, 3388, 827, 2257, 1175, 2943, 269, 1717, 267, 2348, 930, 2596, 1702, 6157, 9327, 1405, 10413, 269, 2991, 782, 267, 7279, 543, 11235, 1145, 547, 1451, 616, 1898, 7592, 585, 4896, 5461, 538, 13197, 513, 4876, 538, 3782, 610, 1382, 780, 1103, 713, 2034, 3296, 267, 596, 3513, 3068, 1776, 1305, 540, 476, 2767, 2789, 31547, 2055, 267, 1152, 713, 942, 789, 3513, 3382, 3584, 899, 7350, 267, 7998, 267, 6323, 267, 543, 6128, 269, 3807, 899, 1354, 267, 596, 3513, 723, 476, 1789, 3764, 547, 2347, 873, 269, 1677, 2285, 596, 606, 2856, 540, 1018, 547, 2503, 267, 4952, 16460, 2055, 827, 2371, 267, 2831, 267, 2281, 267, 3114, 6547, 267, 4229, 267, 1648, 14759, 267, 543, 2241, 15821, 7215, 269, 8342, 1249, 281, 9894, 596, 917, 602, 6091, 4579, 1813, 547, 5122, 6786, 2366, 689, 2634, 11409, 286, 15346, 267, 26001, 2496, 7661, 267, 649, 12446, 693, 8791, 476, 274, 1107, 5675, 17130, 269, 3767, 781, 707, 4960, 547, 19542, 607, 513, 1650, 339, 11839, 256, 1280, 713, 6712, 267, 596, 3513, 2328, 835, 1557, 1759, 593, 513, 2016, 5401, 269, 898, 1223, 581, 4376, 689, 7234, 5683, 2152, 4478, 5444, 11049, 2029, 547, 7713, 519, 2956, 540, 12674, 3292, 269, 21894, 519, 1888, 949, 581, 267, 3314, 547, 2769, 707, 8369, 5693, 1247, 5885, 873, 609, 4396, 7440, 20483, 676, 2963, 269, 1306, 27503, 3744, 267, 13994, 6819, 707, 4555, 17396, 569, 568, 2629, 1317, 2500, 2792, 5849, 1732, 5698, 1851, 3173, 2324, 2509, 1455, 3853, 780, 4517, 972, 596, 723, 621, 1107, 513, 14229, 752, 32708, 883, 519, 1158, 540, 2564, 13675, 4152, 269, 17610, 267, 621, 4667, 4101, 267, 855, 3314, 267, 7507, 7012, 1405, 3710, 538, 513, 1554, 269, 1635, 3384, 2178, 10763, 543, 2792, 1983, 7258, 2679, 13654, 3621, 1702, 267, 596, 3513, 1831, 1134, 9280, 547, 10994, 4255, 899, 519, 645, 21316, 2212, 6823, 14693, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13696, 2969, 5396, 910, 4437, 32441, 23670, 3827, 4530, 21213, 281, 476, 1708, 275, 454, 23277, 13579, 1125, 891, 645, 21316, 546, 7927, 543, 11578, 585, 519, 1449, 454, 2750, 600, 8943, 281, 645, 21316, 4437, 32441, 23670, 3827, 4530, 5396, 5130, 476, 1708, 275, 676, 18741, 2716, 4461, 2593, 2319, 454, 13696, 2969, 4437, 32441, 23670, 3827, 4530, 454, 268, 7089, 540, 5999, 281, 634, 645, 21316, 630, 18693, 32441, 23670, 3827, 4530, 264, 5161, 540, 1614, 6810, 281, 8791, 476, 272, 910, 589, 696, 3363, 543, 10341, 267, 8791, 476, 273, 910, 11660, 11310, 543, 10241, 267, 543, 8791, 476, 274, 910, 5675, 17130, 269, 634, 1297, 540, 2055, 538, 1142, 3296, 568, 607, 5205, 912, 268, 8791, 476, 272, 281, 476, 3374, 2789, 31547, 2055, 454, 268, 8791, 476, 273, 281, 476, 2767, 2789, 31547, 2055, 454, 268, 8791, 476, 274, 281, 2290, 1603, 4305, 454, 268, 5384, 281, 634, 645, 21316, 568, 513, 942, 29438, 1243, 981, 269, 634, 8653, 585, 1142, 3296, 568, 607, 5205, 912, 268, 8791, 476, 272, 281, 476, 2568, 3764, 454, 268, 8791, 476, 273, 281, 476, 1789, 3764, 454, 268, 8791, 476, 274, 281, 476, 1789, 3764, 454, 763, 645, 21316, 2708, 525, 513, 11134, 781, 19038, 3363, 543, 1702, 538, 1585, 2127, 4143, 547, 519, 2361, 540, 24118, 9443, 269, 634, 1449, 568, 5258, 883, 1614, 6810, 267, 1142, 609, 922, 1378, 1445, 543, 6859, 912, 272, 269, 8791, 476, 272, 910, 589, 696, 3363, 543, 10341, 912, 268, 7600, 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, 7170, 281, 1215, 547, 5410, 25529, 619, 547, 513, 10965, 777, 23298, 22062, 566, 692, 27409, 777, 23298, 568, 513, 2442, 19180, 20261, 813, 602, 2636, 3755, 547, 6494, 6337, 267, 7044, 267, 543, 6835, 1634, 607, 834, 338, 333, 2355, 257, 547, 741, 2828, 269, 2290, 1187, 4183, 540, 10965, 777, 23298, 568, 519, 2702, 547, 1039, 29654, 547, 707, 25135, 1354, 11488, 873, 269, 901, 5850, 786, 3391, 596, 998, 519, 1184, 540, 4946, 29654, 547, 513, 10965, 777, 23298, 6643, 267, 3246, 2143, 3137, 585, 1142, 1900, 2059, 609, 1883, 4388, 543, 4808, 780, 1262, 3721, 476, 272, 5093, 7046, 519, 10965, 777, 23298, 2561, 692, 5575, 267, 12398, 519, 10965, 777, 23298, 813, 593, 707, 3926, 543, 7148, 593, 922, 12835, 547, 1930, 621, 269, 634, 10965, 777, 23298, 8254, 8818, 1058, 1631, 2408, 269, 1403, 713, 568, 707, 1101, 942, 1210, 519, 813, 610, 952, 596, 2811, 711, 4867, 29429, 538, 267, 596, 3513, 991, 547, 4283, 707, 27024, 543, 10957, 547, 8399, 780, 1262, 3721, 476, 273, 5093, 13782, 622, 547, 519, 13378, 24897, 692, 2414, 1569, 519, 10004, 5496, 1141, 596, 666, 5968, 609, 824, 10965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 1031, 607, 8082, 20610, 609, 5086, 540, 11539, 689, 476, 273, 5232, 268, 1428, 5232, 267, 476, 1428, 5232, 268, 1789, 5232, 543, 476, 1789, 5232, 910, 476, 2568, 5232, 6606, 269, 24766, 20610, 616, 849, 1031, 607, 3296, 531, 2358, 20610, 1510, 5086, 269, 4120, 5374, 6771, 13486, 910, 9442, 13486, 5086, 5374, 20022, 1098, 6570, 13486, 17951, 548, 5374, 568, 4922, 1031, 538, 1585, 4070, 543, 4702, 3889, 267, 971, 607, 6771, 20610, 267, 2777, 20832, 267, 13123, 267, 17666, 543, 6283, 12227, 267, 9635, 267, 8708, 986, 4242, 543, 23999, 986, 4242, 9950, 560, 13846, 7335, 5384, 281, 476, 276, 25008, 454, 32207, 958, 519, 13486, 5546, 616, 1373, 1031, 609, 5726, 2825, 16007, 1547, 763, 5207, 3007, 543, 519, 1435, 545, 1831, 811, 543, 811, 6857, 540, 519, 17672, 2360, 547, 6771, 1899, 20610, 593, 519, 2244, 269, 6301, 569, 519, 12246, 335, 3290, 20610, 616, 593, 519, 1259, 540, 602, 2786, 1899, 540, 6771, 1899, 1547, 8450, 782, 2164, 585, 713, 2243, 2662, 3421, 1446, 12246, 335, 3290, 13082, 18975, 267, 1733, 3421, 1446, 12246, 335, 3290, 5086, 5374, 20022, 1098, 6570, 13486, 2662, 3421, 1446, 12246, 335, 3290, 13082, 18975, 910, 8564, 476, 1708, 272, 1164, 2298, 1733, 3421, 1446, 12246, 335, 3290, 13082, 18975, 2472, 538, 1655, 3902, 689, 14468, 4457, 13082, 15379, 13340, 9755, 267, 13082, 18975, 14273, 267, 17783, 531, 619, 543, 12051, 593, 17214, 2987, 16644, 2088, 5086, 5374, 20022, 1098, 6570, 13486, 1432, 568, 513, 1098, 6570, 13486, 286, 9558, 6570, 20610, 616, 16887, 1031, 585, 1098, 2821, 519, 26423, 540, 1614, 25686, 1899, 1547, 3690, 6570, 11460, 849, 1572, 607, 12732, 1098, 6570, 269, 1452, 1826, 540, 20610, 616, 4922, 1031, 538, 1279, 6771, 1899, 269, 1452, 2010, 540, 20610, 616, 1454, 1447, 946, 538, 5063, 2529, 2465, 782, 2164, 585, 713, 2243, 454, 5472, 519, 20610, 538, 1063, 519, 3296, 568, 20022, 20610, 269, 12246, 335, 3290, 20610, 616, 17426, 543, 1454, 22237, 5635, 547, 5086, 20610, 269, 570, 3290, 13486, 666, 2417, 7941, 538, 547, 1079, 6688, 543, 891, 13486, 1826, 616, 849, 666, 581, 19040, 2687, 547, 11539, 5086, 538, 4087, 540, 3617, 20610, 2529, 2465, 782, 2164, 585, 713, 2243, 1432, 5086, 616, 20022, 20610, 593, 286, 14611, 569, 519, 12246, 335, 3290, 20610, 616, 593, 519, 1259, 540, 602, 2786, 1899, 540, 6771, 1899, 1547, 898, 949, 849, 4268, 5021, 547, 4110, 540, 476, 276, 5086, 1547, 8450, 782, 2164, 585, 713, 2243, 9558, 3939, 13486, 910, 22391, 18704, 19878, 476, 1691, 267, 476, 1001, 278, 5788, 589, 1098, 6570, 13486, 2636, 891, 6810, 547, 581, 4448, 1927, 267, 1247, 4509, 7850, 24999, 585, 519, 26423, 269, 476, 1724, 269, 9537, 2986, 7690, 13242, 769, 28298, 18975, 18737, 13082, 7690, 22493, 24619, 14272, 532, 6970, 24480, 623, 850, 7690, 9412, 7690, 681, 10762, 454, 21801, 476, 1428, 267, 476, 1001, 279, 5788, 4256, 7293, 2934, 616, 602, 782, 13486, 2010, 616, 2230, 959, 1380, 2497, 267, 519, 11425, 4759, 568, 5631, 7768, 540, 513, 2582, 3160, 5086, 5374, 610, 12432, 5086, 5374, 267, 519, 1570, 568, 3622, 1031, 1627, 20720, 630, 288, 274, 293, 264, 1656, 1627, 24833, 630, 1626, 300, 333, 264, 1079, 267, 519, 4276, 1063, 22203, 1210, 19020, 31211, 267, 31211, 4448, 676, 19852, 3196, 267, 519, 3003, 13486, 676, 519, 5086, 5374, 267, 8220, 5374, 6676, 543, 31211, 267, 1367, 2694, 971, 607, 519, 13486, 3952, 7143, 4765, 676, 513, 1906, 4773, 540, 5374, 28298, 1899, 5086, 5374, 13486, 910, 9442, 5086, 5374, 20022, 1098, 6570, 13486, 13971, 476, 2767, 267, 476, 1001, 279, 5788, 28298, 1899, 5086, 5374, 13486, 568, 1572, 5086, 13486, 585, 2110, 267, 543, 676, 741, 5546, 789, 616, 3622, 5258, 883, 2947, 2010, 281, 4837, 1826, 267, 3032, 3650, 1826, 267, 23935, 593, 1826, 2073, 3819, 23935, 1826, 543, 19943, 1826, 269, 1635, 519, 3096, 267, 789, 666, 581, 5258, 883, 281, 8082, 13486, 267, 2786, 1899, 13486, 267, 5086, 13486, 267, 1098, 6570, 13486, 630, 1729, 5372, 519, 2990, 540, 5911, 5123, 1070, 12363, 13486, 543, 15385, 13486, 267, 3092, 269, 9558, 3939, 570, 10183, 281, 9537, 267, 5071, 1299, 20668, 1923, 15379, 275, 308, 288, 6771, 13486, 630, 10193, 1634, 607, 513, 1379, 6771, 13486, 267, 1379, 13486, 267, 610, 5201, 533, 14125, 264, 568, 513, 7381, 2497, 630, 17141, 513, 5374, 24775, 13486, 264, 1031, 547, 1489, 606, 16841, 1379, 1899, 269, 769, 5122, 21870, 267, 789, 616, 1031, 547, 4163, 1164, 6453, 6771, 3515, 602, 3560, 13557, 3167, 1379, 689, 10451, 10473, 547, 5122, 2655, 725, 282, 10626, 18635, 616, 1031, 547, 1489, 2539, 19581, 5653, 1016, 20675, 3939, 543, 3892, 3515, 555, 8450, 811, 593, 5122, 275, 340, 5086, 5374, 20022, 1098, 6570, 13486, 454, 306, 22273, 3290, 3690, 6570, 24234, 13082, 11635, 18975, 269, 30579, 476, 1015, 298, 309, 268, 8099, 271, 298, 309, 27551, 4340, 547, 14301, 17183, 9615, 14929, 667, 760, 8895, 7079, 1436, 543, 5584, 1470, 5086, 5374, 20022, 1098, 6570, 13486, 2677, 6062, 18975, 568, 513, 2754, 2027, 2358, 538, 5663, 1585, 27647, 1242, 5374, 3889, 1519, 700, 3430, 823, 24234, 18975, 267, 13082, 570, 4209, 18975, 267, 15240, 566, 12856, 267, 15571, 1299, 27657, 18975, 5086, 5374, 20022, 1098, 6570, 13486, 306, 22273, 3290, 28298, 13082, 12856, 910, 24563, 3613, 324, 601, 2389, 1077, 5086, 5374, 20022, 1098, 6570, 13486, 8340, 3318, 20022, 6771, 5374, 2497, 9755, 543, 14273, 538, 3624, 1934, 269, 1733, 3421, 1446, 1164, 2298, 16419, 20022, 6771, 5374, 2497, 689, 938, 12051, 269, 5086, 5374, 20022, 1098, 6570, 13486, 9061, 532, 18975, 267, 570, 3290, 18975, 267, 24234, 18975, 267, 12910, 1400, 18975, 267, 3690, 6570, 18975, 267, 645, 3757, 4221, 18975, 267, 4340, 547, 1849, 1304, 21976, 269, 9208, 5086, 5374, 20022, 1098, 6570, 13486, 8138, 23667, 28298, 7412, 18975, 5086, 5374, 20022, 1098, 6570, 13486, 910, 24563, 3613, 324, 601, 2389, 1077, 5086, 5374, 20022, 1098, 6570, 13486, 29605, 281, 13082, 269, 13910, 281, 14412, 18975, 269, 1284, 2052, 5071, 676, 1773, 338, 1299, 18975, 12229, 281, 4340, 547, 1849, 1304, 2677, 532, 610, 18859, 618, 269, 13255, 13268, 720, 281, 1401, 1636, 9208, 13268, 720, 269, 18882, 281, 1744, 663, 784, 267, 3624, 269, 26402, 281, 9061, 532, 18975, 267, 570, 3290, 18975, 267, 24234, 18975, 267, 12910, 1400, 18975, 267, 3690, 6570, 18975, 267, 645, 3757, 4221, 18975, 267, 4340, 547, 1849, 1801, 14502, 10410, 2305, 454, 9802, 476, 1015, 267, 476, 1001, 278, 5788, 16179, 1970, 3902, 13082, 11272, 5295, 28298, 18975, 538, 4400, 6874, 3663, 13651, 10588, 267, 2098, 26907, 345, 17924, 269, 13082, 11272, 5295, 28298, 18975, 6035, 676, 7009, 534, 570, 785, 324, 5295, 3213, 1421, 299, 11575, 269, 568, 2139, 609, 2789, 8569, 3681, 543, 2653, 6765, 10422, 1077, 6771, 13486, 267, 974, 548, 23890, 13486, 14720, 5648, 5086, 5374, 20022, 1098, 6570, 13486, 763, 13486, 568, 5631, 7768, 540, 513, 2582, 31164, 5086, 610, 4999, 5086, 5374, 267, 519, 1570, 568, 3622, 1031, 1627, 20720, 630, 288, 274, 293, 1070, 519, 1292, 2497, 540, 519, 13486, 568, 513, 2230, 959, 1380, 2497, 267, 1656, 1627, 24833, 630, 1626, 300, 333, 1070, 519, 4276, 1063, 519, 13063, 568, 1500, 540, 5394, 31211, 267, 799, 616, 4448, 676, 31211, 269, 7021, 3650, 4400, 30579, 5295, 28298, 7412, 18975, 5086, 5374, 20022, 1098, 6570, 13486, 26329, 12971, 269, 2433, 631, 313, 268, 11083, 26402, 281, 9061, 532, 18975, 267, 24234, 18975, 267, 12910, 1400, 18975, 267, 3690, 6570, 18975, 267, 645, 3757, 4221, 18975, 18430, 528, 18065, 281, 11638, 18065, 27872, 281, 18869, 267, 717, 306, 10049, 281, 13082, 9208, 281, 9208, 13910, 281, 14412, 18975, 12856, 281, 24234, 13082, 5295, 28298, 18975, 700, 3430, 823, 13082, 18975, 281, 24234, 13082, 18975, 570, 3290, 13082, 18975, 281, 12910, 1400, 13082, 18975, 12246, 335, 3290, 28298, 18975, 5086, 5374, 20022, 1098, 6570, 13486, 5278, 2164, 616, 6569, 538, 3210, 547, 513, 5469, 540, 2199, 1876, 10421, 269, 1280, 811, 1344, 267, 5225, 1294, 1934, 563, 8450, 782, 8450, 782, 2592, 11947, 30579, 28298, 18975, 9537, 538, 5295, 12752, 5086, 5374, 20022, 1098, 6570, 13486, 15037, 476, 2764, 267, 476, 1001, 278, 5788, 6301, 569, 519, 12246, 335, 3290, 20610, 616, 593, 519, 1259, 540, 602, 2786, 1899, 540, 6771, 1899, 269, 898, 949, 849, 4268, 5021, 547, 4110, 540, 476, 276, 5086, 9950, 10431, 1379, 3892, 1899, 21657, 4689, 5374, 13486, 5086, 5374, 20022, 1098, 6570, 13486, 307, 889, 983, 12246, 335, 3290, 28298, 18975, 281, 31793, 983, 570, 3290, 28298, 18975, 5086, 5374, 20022, 1098, 6570, 13486, 26402, 281, 9061, 532, 18975, 267, 570, 3290, 18975, 267, 24234, 18975, 267, 12910, 1400, 18975, 267, 3690, 6570, 18975, 27872, 281, 18869, 267, 717, 306, 9208, 281, 9208, 5086, 5374, 20022, 1098, 6570, 13486, 13082, 5086, 5374, 13486, 7143, 4765, 4170, 476, 272, 3738, 933, 1031, 2910, 273, 13841, 543, 24760, 9095, 10081, 13841, 610, 824, 2409, 269, 5086, 5374, 20022, 1098, 6570, 13486, 454, 14257, 476, 3066, 267, 476, 1708, 272, 5788, 3624, 11272, 5295, 28298, 8895, 7079, 1242, 8682, 4149, 6269, 677, 24234, 13082, 18975, 267, 4855, 3877, 827, 3624, 28298, 18975, 267, 13082, 18975, 689, 11272, 5295, 28298, 8895, 7079, 1242, 8682, 4149, 6269, 677, 24234, 13082, 18975, 910, 15089, 329, 532, 667, 1690, 328, 13082, 18975, 19007, 3213, 1421, 13456, 269, 19770, 28298, 13082, 24234, 11635, 18975, 910, 3624, 24234, 5086, 5374, 20022, 1098, 6570, 13486, 17951, 548, 13082, 18975, 267, 13082, 700, 3430, 823, 18975, 267, 28298, 18975, 10672, 1315, 18261, 538, 3624, 267, 5356, 28298, 13082, 24234, 11635, 18975, 267, 4400, 10866, 543, 12182, 22312, 5295, 28298, 13082, 570, 4209, 18975, 267, 12182, 22312, 8895, 7079, 1242, 13082, 570, 4209, 5295, 28298, 7412, 18975, 543, 865, 593, 269, 19770, 12246, 335, 3290, 24234, 13082, 18975, 267, 12246, 335, 3290, 24234, 13082, 5086, 5374, 20022, 1098, 6570, 13486, 16449, 560, 519, 2647, 2039, 540, 2472, 585, 9042, 3903, 267, 12246, 335, 3290, 24234, 13082, 18975, 568, 835, 540, 519, 3905, 3688, 269, 5071, 8030, 610, 18046, 1522, 1616, 547, 2638, 856, 1585, 12246, 335, 3290, 24234, 13082, 18975, 12051, 1299, 9755, 267, 945, 2709, 6266, 540, 1644, 5079, 971, 607, 1379, 6771, 267, 5374, 13486, 0, 21946, 3000, 7578, 9258, 15817, 1449, 269, 634, 2549, 525, 1449, 568, 4867, 519, 18368, 6444, 1449, 540, 3903, 585, 16326, 519, 4573, 10402, 30008, 543, 15910, 8328, 640, 540, 1007, 5061, 269, 901, 1449, 3096, 519, 2470, 540, 519, 1277, 26593, 18559, 582, 13116, 30354, 630, 14367, 268, 264, 540, 27187, 27193, 574, 584, 1756, 547, 3132, 556, 3200, 1161, 269, 2776, 14083, 9584, 540, 519, 4573, 10402, 30008, 540, 3114, 6878, 269, 634, 1353, 1336, 602, 519, 5834, 540, 1277, 26593, 267, 519, 5834, 540, 519, 9190, 3070, 267, 543, 519, 5834, 540, 590, 280, 786, 782, 723, 606, 1764, 593, 519, 2549, 525, 1449, 269, 4475, 267, 891, 1614, 2188, 991, 547, 581, 2808, 950, 8876, 856, 519, 2549, 525, 1449, 563, 763, 27187, 1031, 538, 519, 2549, 525, 1449, 568, 513, 605, 28648, 5328, 11248, 543, 19330, 513, 10894, 11852, 1062, 269, 4475, 267, 519, 590, 280, 7848, 1590, 581, 3773, 607, 513, 10894, 11852, 1062, 538, 519, 2549, 525, 1449, 269, 634, 2534, 540, 519, 11852, 1062, 949, 1860, 519, 1449, 2164, 269, 634, 1979, 582, 4920, 4146, 540, 1082, 15910, 11077, 5673, 593, 519, 6404, 1922, 4233, 12444, 848, 1062, 540, 29296, 31442, 2345, 269, 13158, 6797, 590, 280, 568, 513, 1455, 538, 20117, 11852, 1062, 269, 4706, 1292, 3742, 12146, 568, 513, 6404, 1922, 4233, 12444, 848, 1062, 269, 589, 2318, 1267, 568, 5833, 1510, 519, 1840, 540, 590, 280, 7848, 267, 10834, 602, 519, 1449, 6219, 568, 513, 1463, 4573, 10402, 269, 634, 2318, 1267, 729, 5833, 676, 4946, 590, 280, 7848, 267, 10834, 602, 519, 1449, 6219, 729, 4573, 10402, 545, 1310, 590, 280, 11852, 563, 7049, 25570, 640, 4152, 711, 1152, 4249, 606, 1271, 1909, 538, 519, 3355, 9584, 3942, 540, 3075, 1646, 267, 621, 666, 1860, 519, 1184, 540, 3075, 1646, 547, 513, 1804, 6708, 267, 855, 849, 666, 2569, 519, 3075, 1981, 540, 4791, 4693, 5396, 543, 3075, 3755, 1310, 519, 3075, 568, 30630, 269, 5709, 15714, 814, 3964, 513, 3075, 3106, 6268, 1062, 602, 5360, 625, 609, 3486, 4441, 269, 634, 8097, 1382, 5205, 519, 4808, 540, 594, 6224, 267, 18435, 6395, 267, 15111, 543, 31232, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1158, 540, 23285, 10850, 267, 4481, 2519, 593, 595, 820, 15771, 303, 269, 1284, 786, 2263, 875, 595, 820, 15771, 303, 666, 3986, 707, 7607, 607, 513, 17354, 676, 3246, 596, 609, 513, 4396, 2497, 585, 2679, 1357, 3156, 1247, 7493, 532, 2476, 1455, 4247, 971, 607, 6538, 5872, 543, 3403, 15418, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 1058, 723, 513, 1434, 1620, 540, 1018, 595, 820, 15771, 303, 568, 267, 950, 547, 946, 621, 267, 543, 875, 547, 1205, 3323, 609, 2679, 707, 1378, 1357, 3498, 1210, 713, 3532, 5943, 780, 1432, 568, 513, 17563, 888, 2411, 19030, 6524, 11362, 883, 595, 820, 15771, 303, 267, 1577, 781, 1491, 513, 1900, 1394, 543, 2911, 827, 1018, 513, 5943, 568, 543, 1946, 789, 616, 3730, 585, 9367, 269, 2311, 741, 4295, 267, 10850, 616, 840, 1790, 871, 3042, 8021, 540, 3009, 602, 1683, 23431, 10342, 585, 6061, 1455, 5752, 2042, 269, 1358, 1419, 2097, 609, 6644, 730, 1374, 3270, 543, 11265, 3664, 3710, 2987, 267, 3850, 9367, 547, 1445, 593, 1603, 1870, 7954, 2864, 982, 20468, 827, 1970, 7400, 6388, 3877, 780, 2467, 616, 1082, 1114, 2010, 540, 10850, 2139, 585, 1585, 5752, 4654, 267, 1519, 4395, 754, 10084, 29441, 10850, 899, 1234, 716, 543, 4911, 983, 267, 1394, 754, 19219, 12459, 338, 10850, 899, 18124, 543, 918, 10394, 267, 543, 23285, 10850, 899, 700, 4673, 767, 543, 6641, 325, 3415, 269, 3962, 5943, 814, 922, 9342, 543, 12755, 267, 543, 7446, 519, 1318, 835, 5673, 593, 2188, 971, 607, 519, 2450, 543, 6988, 540, 707, 1788, 267, 707, 2319, 781, 6791, 267, 543, 519, 1808, 4170, 540, 707, 3498, 780, 3963, 7994, 595, 820, 15771, 303, 888, 2411, 14945, 3086, 602, 649, 1174, 1018, 513, 5943, 568, 543, 1946, 789, 616, 3730, 1577, 781, 2911, 827, 1946, 596, 1522, 3442, 595, 820, 15771, 303, 585, 707, 1985, 1357, 1646, 1788, 269, 2368, 2640, 540, 1210, 595, 820, 15771, 303, 1331, 1384, 265, 2878, 305, 777, 573, 4886, 4995, 2060, 595, 820, 15771, 303, 781, 19323, 2987, 21934, 13783, 1062, 267, 596, 666, 3533, 5352, 2596, 10911, 11070, 630, 8620, 267, 3367, 267, 22352, 267, 1546, 8541, 264, 17103, 585, 5883, 1239, 538, 707, 3498, 269, 901, 2636, 596, 547, 1445, 593, 7598, 2688, 1870, 7954, 3079, 540, 5368, 28124, 519, 8868, 1169, 942, 596, 1376, 513, 1007, 1788, 563, 265, 2878, 300, 31357, 15339, 4995, 595, 820, 15771, 303, 5205, 519, 7844, 268, 8698, 4211, 2632, 28948, 6189, 4806, 267, 799, 24508, 4145, 1063, 1239, 1569, 267, 6881, 267, 543, 1852, 2095, 269, 901, 2306, 621, 4443, 547, 2226, 543, 4336, 707, 3498, 936, 942, 267, 607, 1134, 607, 12840, 609, 824, 9367, 945, 949, 581, 2324, 593, 1114, 2694, 540, 519, 3009, 19668, 563, 265, 2878, 289, 16742, 24493, 8232, 17972, 4995, 5680, 3354, 568, 513, 2565, 6161, 585, 1022, 2413, 3498, 267, 543, 595, 820, 15771, 303, 2501, 609, 1896, 3710, 2987, 2934, 547, 948, 2149, 1996, 1455, 16426, 899, 14069, 13297, 6285, 267, 3444, 21935, 7097, 532, 630, 311, 7704, 1070, 543, 3444, 21935, 7662, 8483, 2044, 630, 5425, 27184, 1040, 1452, 2934, 1118, 621, 4443, 547, 1628, 5150, 3156, 1510, 2348, 547, 1831, 606, 4274, 538, 1357, 3354, 3054, 563, 265, 2878, 30874, 7991, 8081, 4995, 595, 820, 15771, 303, 814, 1044, 1472, 2094, 476, 1220, 276, 543, 814, 513, 1804, 267, 3742, 2146, 540, 20334, 543, 3755, 269, 901, 1797, 972, 616, 7899, 540, 2200, 2139, 2228, 585, 1565, 875, 547, 946, 519, 5943, 267, 607, 1134, 607, 3791, 18407, 11690, 1231, 543, 24909, 602, 666, 4688, 596, 1256, 811, 942, 543, 4674, 950, 2679, 707, 3498, 780, 21093, 29035, 609, 595, 820, 15771, 303, 454, 10900, 21387, 2414, 1205, 3323, 609, 595, 820, 15771, 303, 267, 1246, 891, 3268, 1384, 272, 269, 12305, 667, 2570, 4293, 281, 6969, 16459, 595, 820, 15771, 303, 3294, 267, 2327, 602, 707, 7746, 10742, 519, 5934, 4170, 269, 1411, 786, 991, 23285, 476, 278, 269, 274, 269, 271, 610, 2362, 267, 2059, 609, 1489, 585, 19113, 302, 24909, 267, 544, 321, 11415, 267, 3758, 16769, 267, 703, 331, 267, 543, 18351, 6500, 269, 4495, 1346, 29444, 616, 8704, 267, 4647, 519, 5767, 4528, 540, 595, 820, 15771, 303, 689, 519, 4013, 3896, 563, 273, 269, 8073, 513, 1715, 5741, 281, 2991, 23842, 595, 820, 15771, 303, 267, 1711, 513, 1007, 15682, 585, 707, 1788, 543, 1847, 519, 9115, 540, 519, 595, 820, 15771, 303, 21287, 883, 602, 15682, 269, 8921, 267, 6330, 547, 519, 2387, 19986, 10174, 319, 1016, 29715, 800, 1369, 707, 1788, 17835, 543, 1930, 519, 2387, 8161, 21703, 319, 3758, 538, 707, 11422, 269, 1403, 3388, 568, 1305, 909, 7157, 267, 596, 1058, 1294, 513, 10950, 5048, 10268, 563, 274, 269, 5590, 5455, 2659, 18482, 17583, 281, 7046, 519, 2387, 935, 14808, 319, 15682, 1369, 707, 1788, 17835, 543, 12398, 519, 2387, 1952, 9078, 5914, 21703, 319, 3758, 269, 22478, 713, 3758, 547, 19022, 707, 6538, 4276, 5468, 267, 1519, 519, 6538, 3984, 4067, 267, 27024, 267, 10957, 267, 543, 2012, 269, 16440, 707, 2242, 543, 1449, 707, 12122, 676, 4881, 519, 4971, 2387, 16535, 11305, 820, 27106, 782, 12452, 799, 786, 5352, 21934, 13783, 585, 707, 3003, 3498, 1759, 593, 707, 27358, 3631, 563, 275, 269, 12706, 11426, 20603, 281, 3767, 602, 596, 723, 6383, 707, 3355, 21934, 13783, 267, 596, 666, 2253, 2679, 856, 707, 2688, 1870, 7954, 269, 901, 1223, 4125, 4946, 3606, 27196, 267, 5784, 267, 543, 3631, 547, 6023, 1808, 946, 2665, 1369, 707, 3498, 269, 1306, 596, 960, 998, 707, 1788, 267, 3277, 547, 519, 4013, 12319, 543, 18862, 547, 1451, 811, 827, 4359, 2934, 543, 2553, 585, 17306, 2773, 543, 25382, 780, 6962, 454, 29603, 1103, 3932, 267, 595, 820, 15771, 303, 568, 513, 3532, 23285, 5943, 602, 3091, 4028, 1646, 267, 631, 31357, 6189, 267, 3710, 2987, 3354, 2934, 267, 543, 3742, 2146, 1489, 269, 1635, 1739, 519, 3268, 13890, 538, 713, 1576, 1770, 267, 596, 666, 3533, 1205, 3323, 2679, 707, 1378, 1357, 3498, 1210, 595, 820, 15771, 303, 269, 6787, 596, 616, 513, 19023, 17354, 3168, 585, 513, 6325, 1259, 547, 3432, 909, 707, 20104, 610, 513, 19444, 11235, 547, 1451, 519, 1202, 543, 16080, 540, 1357, 1646, 267, 595, 820, 15771, 303, 3091, 1945, 585, 3025, 269, 1924, 1946, 7227, 286, 667, 633, 538, 543, 1376, 3695, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16449, 519, 10850, 616, 595, 820, 15771, 303, 267, 962, 4512, 267, 3092, 269, 11109, 513, 2620, 1620, 540, 519, 3009, 267, 646, 3177, 782, 23285, 2934, 547, 782, 540, 1010, 3785, 267, 7175, 1864, 547, 12575, 9479, 7561, 269, 4942, 335, 1805, 768, 6206, 2488, 3009, 12032, 267, 1201, 716, 1681, 267, 2500, 5470, 6604, 267, 543, 811, 563, 4942, 335, 1805, 768, 3223, 4723, 568, 519, 1655, 3301, 1907, 519, 2754, 814, 2479, 5189, 269, 589, 2780, 2148, 622, 1268, 1281, 711, 991, 547, 4309, 2866, 538, 1931, 547, 946, 621, 267, 607, 621, 568, 1360, 2653, 547, 7500, 7064, 547, 922, 3593, 7888, 8818, 269, 5015, 267, 519, 3105, 4528, 540, 1912, 335, 1805, 768, 5395, 658, 6206, 568, 10169, 2352, 267, 855, 4274, 3755, 1869, 4782, 519, 4587, 4528, 269, 589, 30246, 1883, 568, 3177, 585, 5665, 519, 1982, 269, 1912, 335, 1805, 768, 568, 15095, 609, 8837, 8747, 540, 782, 8747, 543, 12347, 1568, 593, 5839, 267, 1932, 563, 4942, 335, 1805, 768, 700, 919, 19405, 912, 26807, 569, 267, 15769, 1131, 4324, 689, 513, 7096, 1620, 540, 707, 1034, 4909, 4555, 267, 799, 568, 835, 540, 519, 1034, 5551, 10305, 585, 1022, 27732, 269, 898, 786, 581, 2111, 547, 1683, 4010, 602, 269, 4635, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 820, 15771, 303, 17563, 257, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 23285, 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, 5629, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 4190, 1747, 1572, 25725, 6816, 269, 901, 6532, 729, 1753, 547, 1082, 1114, 6082, 540, 1004, 267, 1142, 609, 741, 1378, 2189, 5389, 267, 4654, 267, 543, 2081, 540, 1272, 269, 1703, 941, 519, 21007, 262, 330, 2742, 336, 267, 15011, 1177, 330, 267, 744, 329, 756, 933, 267, 595, 872, 267, 543, 4563, 20584, 1004, 267, 1851, 1866, 269, 3962, 4182, 1185, 922, 1378, 2984, 267, 3756, 267, 543, 4245, 602, 789, 1131, 1780, 1524, 689, 5108, 547, 5108, 780, 3080, 1554, 267, 1079, 1762, 2828, 3957, 918, 2967, 543, 2725, 328, 4682, 3695, 538, 519, 18137, 2282, 741, 5321, 269, 1358, 3357, 2066, 513, 8797, 2025, 14854, 9361, 676, 513, 6908, 269, 634, 14854, 30870, 873, 27145, 543, 4280, 952, 789, 4941, 547, 5873, 513, 2027, 1650, 269, 2986, 1576, 267, 918, 2967, 543, 2725, 328, 1767, 9811, 2439, 763, 14854, 3459, 547, 2995, 873, 513, 1650, 827, 875, 1271, 621, 568, 547, 1451, 827, 824, 1004, 781, 4529, 543, 2833, 269, 1261, 6045, 602, 1279, 3516, 267, 930, 1004, 1705, 711, 1174, 610, 1871, 519, 3604, 1063, 6082, 269, 1358, 2219, 602, 3025, 1058, 581, 519, 1482, 543, 6836, 547, 1118, 519, 6805, 1004, 7340, 741, 2757, 2081, 780, 298, 2967, 543, 2725, 328, 6743, 11821, 269, 834, 1432, 798, 596, 1611, 1412, 10177, 6463, 2081, 3299, 6264, 14854, 8119, 4280, 918, 2967, 780, 257, 11039, 2437, 14452, 519, 14854, 267, 834, 26421, 4182, 814, 922, 1378, 1259, 540, 3257, 1919, 910, 899, 5986, 267, 15472, 267, 543, 6340, 269, 1452, 616, 1572, 5389, 269, 1656, 950, 649, 2671, 938, 5389, 609, 835, 1776, 267, 649, 666, 1451, 865, 1454, 15323, 9288, 328, 9289, 1946, 4896, 1131, 1616, 547, 1491, 1346, 1919, 2476, 269, 834, 6546, 3085, 1405, 3100, 4023, 267, 9835, 25725, 1701, 1352, 1767, 780, 257, 2791, 2811, 1318, 267, 2370, 835, 2437, 8815, 519, 14854, 269, 834, 2005, 7012, 1405, 4023, 269, 1809, 1631, 267, 1082, 1004, 8275, 713, 12161, 543, 1616, 547, 1118, 1919, 1318, 269, 1284, 1289, 713, 1184, 21047, 3010, 298, 2967, 1287, 4280, 267, 834, 1692, 666, 649, 948, 609, 21047, 267, 9835, 25725, 12482, 257, 3528, 1565, 827, 1142, 824, 781, 4529, 543, 8156, 3025, 609, 11587, 543, 2463, 2437, 12943, 519, 14854, 269, 834, 2690, 1383, 267, 4952, 952, 596, 1152, 2479, 17696, 32409, 1317, 2576, 5143, 596, 602, 781, 1018, 3025, 22655, 269, 1411, 1522, 2760, 1205, 547, 6492, 26345, 30653, 610, 8949, 12403, 15323, 13828, 918, 2967, 543, 2725, 328, 17254, 326, 1194, 693, 519, 2219, 540, 4189, 1175, 32409, 1169, 1554, 269, 1358, 9684, 539, 519, 8797, 2025, 14854, 585, 4687, 1010, 1650, 543, 16219, 547, 1451, 811, 827, 741, 1007, 2828, 262, 5389, 269, 3245, 602, 1554, 4464, 267, 789, 1500, 2386, 547, 1331, 3025, 538, 741, 1404, 5503, 2238, 543, 3838, 6980, 1927, 780, 4517, 8164, 2576, 5433, 8909, 610, 2451, 856, 267, 789, 1131, 3314, 519, 8797, 2025, 14854, 781, 1913, 543, 2119, 1256, 9875, 547, 1521, 1142, 824, 24963, 269, 1635, 8026, 1620, 267, 6568, 267, 543, 2648, 267, 891, 1762, 2828, 5280, 1711, 513, 1732, 1158, 585, 2933, 543, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12213, 2287, 11310, 5741, 11394, 547, 1102, 2224, 16971, 9082, 262, 12583, 267, 917, 1194, 2471, 543, 15338, 690, 625, 883, 782, 2157, 540, 2069, 538, 4516, 269, 634, 1788, 568, 513, 851, 540, 519, 14411, 4659, 585, 5525, 538, 4065, 267, 2160, 540, 17842, 267, 799, 568, 4092, 593, 519, 11182, 540, 1323, 880, 2088, 23042, 543, 2201, 330, 933, 327, 517, 933, 9082, 563, 306, 639, 534, 667, 542, 3947, 513, 3551, 2272, 540, 519, 3140, 5133, 7855, 991, 547, 1589, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 4055, 729, 5394, 609, 8082, 607, 519, 1895, 10356, 1472, 519, 3349, 267, 741, 4064, 6378, 593, 519, 18061, 540, 4154, 11113, 30528, 1164, 538, 519, 4099, 269, 898, 1185, 1044, 3275, 2094, 789, 1101, 1305, 856, 593, 713, 3460, 267, 6028, 3297, 741, 3885, 543, 2950, 538, 3406, 540, 19539, 780, 2026, 320, 267, 519, 6205, 540, 519, 1895, 267, 6743, 1472, 519, 3349, 543, 12038, 909, 269, 968, 293, 12188, 267, 594, 917, 649, 782, 3357, 1934, 5275, 938, 6830, 17480, 267, 855, 594, 666, 1406, 948, 855, 4898, 952, 649, 4076, 4503, 8289, 540, 1018, 5963, 6927, 2059, 519, 1259, 14325, 14367, 1913, 941, 1558, 609, 16563, 267, 1142, 4759, 12842, 538, 741, 1378, 4555, 269, 7053, 267, 3627, 267, 519, 9602, 652, 540, 519, 1895, 267, 13264, 519, 16563, 780, 14881, 8678, 713, 16939, 1317, 594, 4941, 547, 1683, 585, 1250, 1920, 2223, 646, 1767, 267, 31325, 1524, 693, 519, 3349, 269, 968, 3719, 1631, 267, 1310, 7487, 875, 2484, 930, 1004, 786, 979, 547, 1205, 6619, 267, 594, 723, 547, 2307, 8885, 910, 568, 621, 4502, 621, 9495, 692, 22832, 267, 945, 2394, 1287, 1185, 8604, 9003, 5059, 593, 519, 4154, 1354, 873, 267, 10709, 539, 1394, 538, 1010, 11381, 543, 521, 19042, 7184, 269, 968, 2791, 6318, 513, 4570, 1448, 267, 3627, 269, 2311, 2053, 267, 594, 1932, 723, 20402, 2436, 713, 29287, 13287, 540, 5763, 568, 2731, 1818, 721, 6126, 14325, 3891, 17328, 4310, 267, 11018, 1010, 4555, 1354, 11173, 269, 968, 1607, 31117, 814, 3144, 922, 17167, 593, 803, 13948, 543, 13998, 269, 3733, 7385, 5206, 803, 5022, 581, 21794, 803, 547, 2132, 1753, 267, 6031, 1352, 7948, 1405, 7703, 2713, 1200, 1272, 4805, 15042, 269, 1656, 2943, 267, 1256, 6616, 602, 267, 594, 8359, 547, 3251, 14325, 11321, 15925, 267, 519, 1152, 4807, 538, 519, 1895, 267, 16403, 539, 538, 269, 968, 2005, 4667, 547, 803, 602, 31743, 1310, 2724, 543, 22590, 1419, 5012, 547, 24279, 1107, 711, 1175, 938, 2123, 3347, 855, 849, 938, 2418, 269, 5620, 596, 2808, 519, 1764, 707, 9000, 1522, 723, 593, 1346, 1447, 26752, 982, 721, 9495, 692, 15463, 2243, 19388, 1229, 5230, 538, 519, 2011, 267, 16550, 3025, 547, 13720, 519, 4641, 540, 741, 3510, 269, 1358, 7691, 602, 1247, 789, 1185, 6591, 1454, 538, 2474, 540, 1570, 5763, 267, 789, 1185, 4503, 5905, 609, 741, 8103, 780, 4415, 16012, 8990, 267, 1306, 320, 9619, 519, 1895, 2899, 811, 269, 968, 2171, 3112, 3768, 334, 519, 5079, 649, 1500, 538, 4947, 1934, 267, 855, 5310, 972, 781, 1869, 942, 547, 1689, 1576, 269, 2913, 781, 32410, 547, 960, 2509, 2870, 3666, 1063, 938, 7287, 585, 1967, 543, 4509, 2178, 4296, 1369, 938, 2146, 14325, 4517, 865, 267, 9624, 519, 25985, 540, 575, 548, 5446, 4154, 11113, 267, 891, 2043, 12247, 539, 547, 4225, 2123, 3347, 267, 2146, 7554, 267, 543, 1514, 5126, 1657, 6071, 13075, 12374, 269, 1280, 789, 6956, 602, 3020, 13884, 6013, 711, 538, 11876, 8973, 16782, 855, 2864, 14637, 1018, 2306, 721, 22992, 3638, 1107, 2648, 267, 8296, 267, 543, 1620, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 4245, 666, 4207, 9458, 2721, 689, 634, 7108, 27538, 827, 519, 12178, 540, 13197, 5763, 543, 1570, 1967, 693, 519, 1942, 540, 2123, 3347, 267, 2146, 267, 543, 1514, 5126, 888, 28757, 9458, 666, 2721, 1896, 4245, 689, 634, 7108, 27538, 827, 519, 12178, 540, 13197, 5763, 543, 1570, 1967, 693, 519, 1942, 540, 2123, 3347, 267, 2146, 267, 543, 1514, 5126, 269, 1452, 4245, 616, 1384, 272, 269, 32100, 543, 1570, 1967, 798, 711, 10018, 8788, 610, 20106, 281, 634, 1915, 540, 519, 19175, 528, 538, 519, 4670, 9727, 519, 4220, 540, 18930, 532, 936, 2883, 1967, 693, 519, 13258, 540, 2123, 3347, 543, 1480, 4276, 269, 1261, 568, 19039, 569, 10057, 676, 1010, 13287, 540, 5763, 543, 9060, 5128, 24949, 543, 796, 995, 325, 2683, 267, 1510, 1022, 2631, 540, 2146, 610, 1514, 1489, 780, 273, 269, 7698, 1967, 666, 2097, 693, 519, 1942, 540, 5837, 8699, 281, 634, 1915, 540, 4563, 700, 1513, 523, 538, 519, 4670, 9727, 519, 5837, 12159, 602, 666, 13173, 519, 13287, 540, 13284, 1127, 269, 6736, 1010, 3355, 7874, 1629, 10640, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1920, 1644, 635, 12203, 543, 519, 16750, 547, 4482, 13588, 563, 288, 1876, 1153, 7548, 568, 593, 513, 8628, 5859, 547, 8044, 602, 519, 7658, 1260, 543, 10814, 2872, 814, 1044, 16765, 2586, 676, 30049, 1235, 945, 5706, 5647, 543, 936, 8408, 6800, 563, 288, 5313, 9794, 779, 15194, 1223, 26699, 519, 759, 1446, 540, 3059, 2575, 607, 1134, 607, 824, 3059, 1434, 899, 552, 268, 9248, 563, 288, 1158, 3146, 11471, 21997, 10742, 513, 32154, 2203, 2228, 269, 1358, 1544, 741, 3501, 1272, 1927, 269, 1809, 1101, 267, 1352, 12134, 267, 1131, 646, 581, 865, 2186, 607, 547, 5838, 513, 2027, 10189, 547, 1200, 888, 763, 654, 1074, 4582, 1601, 14552, 723, 6410, 593, 689, 741, 6370, 609, 4460, 2098, 27462, 6199, 543, 616, 811, 3742, 982, 2479, 563, 2026, 6837, 27180, 1151, 7228, 725, 267, 930, 14078, 543, 24960, 625, 616, 26997, 547, 3565, 547, 606, 23793, 1982, 547, 948, 609, 519, 7022, 779, 1072, 1416, 1876, 563, 2026, 25743, 543, 24273, 538, 7147, 5600, 543, 14130, 19474, 856, 519, 3877, 540, 519, 1533, 779, 476, 1001, 275, 268, 1428, 6578, 267, 835, 3390, 789, 616, 711, 19163, 827, 568, 1489, 585, 2790, 1072, 563, 763, 13325, 14130, 814, 20366, 547, 29343, 519, 946, 540, 17089, 585, 2564, 5301, 267, 799, 952, 9896, 883, 1876, 1131, 1118, 621, 519, 2034, 2173, 739, 1790, 641, 592, 748, 1533, 1310, 4993, 547, 798, 865, 563, 14294, 909, 585, 519, 20958, 9349, 5240, 12072, 267, 9447, 1169, 6640, 543, 12784, 267, 543, 4309, 8840, 3377, 25887, 2429, 519, 1554, 269, 0, 1607, 2376, 8385, 7902, 538, 18370, 1051, 18225, 563, 28606, 17067, 713, 3018, 267, 519, 4139, 1773, 10165, 623, 13873, 11856, 7690, 630, 7709, 303, 293, 264, 4371, 606, 2680, 693, 799, 10529, 23503, 519, 5163, 281, 968, 18131, 779, 16882, 543, 4264, 1646, 1765, 17647, 649, 8959, 18313, 8867, 2096, 1695, 717, 11312, 2465, 267, 519, 476, 1001, 272, 17587, 4708, 16101, 1071, 2000, 320, 675, 622, 543, 8644, 518, 1014, 4708, 19191, 267, 12038, 27283, 569, 827, 519, 2629, 1909, 2021, 1404, 538, 2053, 540, 4655, 269, 2701, 12006, 519, 2189, 2081, 538, 799, 2021, 7520, 4708, 538, 2053, 540, 2112, 563, 20058, 621, 568, 2021, 945, 1683, 2596, 2533, 267, 538, 519, 1106, 540, 1426, 543, 12062, 267, 547, 1346, 24323, 19774, 676, 3540, 2112, 269, 898, 568, 849, 2021, 945, 21907, 543, 5150, 2922, 8574, 998, 2638, 9557, 1305, 909, 676, 15180, 1249, 687, 269, 1656, 267, 3791, 569, 267, 2021, 21907, 4708, 593, 15773, 540, 741, 2950, 676, 7114, 543, 4570, 908, 1346, 602, 616, 2818, 540, 519, 2146, 269, 6468, 4163, 856, 891, 5107, 538, 519, 3068, 540, 519, 3586, 6937, 540, 32043, 6260, 267, 22149, 543, 12638, 563, 763, 19433, 540, 2112, 568, 602, 2021, 1265, 2933, 23518, 1282, 2053, 540, 4655, 547, 519, 1482, 4110, 602, 789, 616, 771, 11391, 10062, 538, 2053, 540, 4708, 269, 1879, 7526, 1439, 267, 717, 11312, 2465, 6045, 267, 2021, 616, 25323, 607, 896, 23974, 1881, 543, 865, 16934, 689, 6101, 4708, 16395, 269, 2701, 814, 1572, 585, 6284, 540, 519, 3407, 1995, 540, 2021, 1282, 2053, 540, 4655, 269, 4173, 3646, 607, 606, 19191, 4125, 8716, 4775, 7589, 538, 12836, 563, 763, 1249, 602, 4655, 5540, 2367, 543, 2021, 8335, 814, 1152, 5063, 13175, 547, 3310, 519, 4708, 15209, 543, 1646, 3646, 540, 4914, 6608, 543, 27013, 269, 634, 3586, 3463, 540, 22149, 2047, 29620, 519, 2702, 540, 2021, 547, 4163, 856, 741, 4708, 1922, 659, 22626, 5107, 269, 717, 787, 700, 1513, 523, 267, 519, 21785, 1533, 23122, 585, 14579, 16457, 267, 12038, 693, 519, 7521, 540, 519, 2956, 540, 4008, 29003, 2022, 18101, 12787, 2994, 563, 21430, 1646, 543, 5351, 3785, 4008, 29003, 1419, 4125, 2241, 9270, 540, 17825, 267, 2359, 543, 2792, 269, 1773, 5217, 1426, 8637, 267, 2564, 512, 757, 543, 30079, 267, 585, 1383, 267, 6251, 547, 2950, 267, 2059, 1134, 13652, 767, 1194, 11507, 610, 538, 1930, 5624, 3648, 6971, 519, 1981, 540, 22149, 269, 1656, 1344, 11341, 547, 950, 543, 1141, 4195, 5351, 7727, 786, 581, 9447, 1450, 2021, 267, 945, 1034, 1419, 2445, 519, 5351, 267, 547, 6582, 2922, 2951, 269, 0, 3963, 1810, 1406, 811, 1004, 1379, 741, 5321, 609, 3859, 8440, 286, 898, 779, 519, 8226, 602, 10821, 3859, 8440, 616, 7199, 547, 4444, 543, 547, 3888, 269, 2311, 835, 942, 602, 729, 3020, 563, 2005, 1223, 1942, 1269, 736, 267, 1822, 547, 1269, 1789, 267, 1822, 547, 723, 20749, 14475, 3859, 8440, 8704, 538, 707, 1753, 269, 2311, 602, 3902, 621, 1131, 1491, 13977, 1296, 610, 811, 547, 973, 19281, 519, 3790, 538, 1648, 9806, 563, 3719, 1100, 3476, 256, 3767, 596, 666, 1628, 1164, 2298, 3859, 8440, 585, 896, 1269, 1220, 269, 14424, 602, 547, 5010, 3859, 8440, 602, 1942, 1269, 1015, 267, 1822, 610, 811, 2507, 29592, 10380, 2336, 2252, 602, 779, 3020, 267, 1946, 1810, 1406, 811, 1004, 1628, 543, 3888, 741, 1378, 10821, 3859, 8440, 286, 898, 779, 1317, 789, 1810, 1406, 917, 875, 269, 9891, 8440, 1413, 2930, 269, 1358, 1413, 7294, 269, 1358, 2461, 711, 563, 23530, 8440, 616, 2965, 1360, 2241, 543, 789, 723, 1100, 3001, 2694, 269, 2334, 1797, 789, 2154, 2370, 610, 1100, 5826, 269, 2353, 596, 723, 547, 798, 568, 27043, 873, 269, 9894, 596, 1628, 5068, 3631, 607, 513, 4819, 286, 5620, 596, 2479, 19632, 513, 17919, 610, 513, 1433, 2013, 286, 1403, 865, 267, 596, 666, 1628, 513, 3859, 8470, 269, 0, 23763, 547, 917, 1018, 519, 5354, 540, 3610, 798, 547, 4001, 513, 1880, 3992, 286, 10261, 930, 3860, 6667, 585, 707, 1985, 1362, 286, 21763, 948, 1603, 513, 1382, 1957, 286, 1703, 779, 513, 6643, 2141, 8345, 593, 12108, 3842, 519, 814, 6255, 698, 1948, 539, 23298, 269, 630, 26170, 513, 3787, 1007, 547, 12108, 286, 6744, 856, 938, 11819, 779, 6651, 1677, 12108, 1934, 994, 258, 539, 23298, 568, 16922, 540, 7366, 540, 1053, 855, 6140, 3610, 543, 11889, 4648, 269, 634, 6643, 3584, 2039, 689, 4687, 4277, 6402, 547, 2965, 12180, 570, 11548, 308, 1186, 630, 514, 16512, 11401, 540, 1000, 7867, 3755, 264, 543, 27300, 2093, 543, 5310, 513, 4235, 610, 1079, 563, 258, 539, 23298, 568, 513, 2834, 2228, 5385, 540, 2093, 269, 30451, 630, 663, 1866, 264, 2253, 1210, 519, 814, 6255, 698, 1948, 539, 23298, 693, 29869, 29643, 543, 476, 278, 10975, 29643, 543, 1865, 513, 1880, 2243, 3335, 15054, 676, 7711, 3387, 974, 778, 563, 2690, 1383, 267, 1934, 779, 513, 4351, 512, 11548, 649, 8359, 713, 6640, 547, 6542, 519, 2186, 540, 5363, 1344, 1373, 3838, 1318, 1631, 593, 1948, 539, 23298, 912, 258, 539, 23298, 568, 849, 513, 1360, 5363, 1259, 547, 10891, 2228, 2621, 269, 3245, 1357, 1476, 17182, 547, 3478, 8284, 2362, 1196, 22938, 625, 3222, 540, 1018, 779, 8345, 2507, 527, 779, 3833, 2653, 563, 4306, 7968, 476, 272, 281, 1403, 596, 2461, 1007, 547, 12108, 267, 2070, 938, 12108, 6651, 1934, 543, 1376, 17408, 7566, 269, 1411, 1810, 1406, 991, 513, 2462, 1739, 547, 7119, 538, 1948, 539, 23298, 267, 855, 596, 1058, 723, 930, 3730, 1344, 547, 2671, 952, 596, 1616, 547, 2744, 13794, 563, 4306, 7968, 476, 273, 281, 12338, 513, 8559, 538, 602, 4216, 2507, 342, 7159, 1100, 269, 634, 1985, 1900, 568, 547, 512, 11548, 543, 2322, 519, 814, 6255, 698, 1948, 539, 23298, 538, 707, 512, 11548, 269, 2334, 779, 621, 2336, 4306, 7968, 476, 274, 281, 18554, 1018, 779, 8345, 593, 1948, 539, 23298, 676, 1210, 12108, 9612, 630, 3286, 3406, 585, 1948, 539, 23298, 264, 610, 1039, 513, 6241, 547, 707, 570, 11548, 5719, 1188, 610, 824, 12108, 7817, 865, 621, 3678, 698, 1227, 10311, 950, 1948, 539, 23298, 10311, 563, 4306, 7968, 476, 275, 281, 3399, 17408, 7566, 256, 4825, 11548, 256, 3807, 1491, 851, 543, 1039, 547, 519, 6643, 269, 1411, 3580, 1451, 1945, 1007, 267, 649, 10018, 621, 269, 0, 18208, 675, 2389, 8972, 3574, 568, 1390, 8631, 267, 855, 519, 6464, 1031, 547, 8190, 621, 689, 9178, 666, 682, 778, 856, 267, 1141, 789, 666, 581, 6757, 547, 12961, 267, 13271, 543, 824, 688, 20439, 7068, 269, 3767, 267, 3744, 616, 1210, 29113, 547, 1832, 519, 6464, 3330, 519, 3574, 1141, 789, 4866, 563, 268, 27915, 13947, 1732, 12507, 267, 476, 1321, 7325, 476, 1001, 271, 267, 476, 1428, 281, 6246, 281, 6795, 29269, 454, 268, 570, 308, 5548, 1111, 10607, 2504, 540, 6464, 689, 3574, 3653, 26607, 267, 476, 1015, 3057, 476, 1001, 271, 267, 476, 1321, 281, 1240, 281, 6872, 29643, 454, 268, 23721, 3529, 2068, 689, 476, 1321, 3574, 9178, 13271, 6594, 1320, 340, 267, 476, 1789, 5463, 476, 1001, 271, 267, 476, 1015, 281, 1556, 281, 3953, 29643, 454, 268, 5794, 14107, 689, 3595, 17541, 543, 3574, 1532, 9506, 588, 7174, 6318, 1072, 4145, 25823, 267, 476, 276, 4924, 476, 1001, 272, 267, 476, 1240, 281, 2004, 281, 2412, 29643, 454, 268, 8381, 588, 7174, 4534, 513, 14323, 1753, 3002, 2707, 286, 307, 826, 267, 476, 1691, 7325, 476, 1220, 280, 267, 476, 1724, 281, 1789, 281, 2537, 29269, 0, 7034, 322, 263, 18199, 5495, 1070, 631, 16281, 300, 263, 308, 16703, 1070, 16066, 4306, 22829, 11770, 2284, 994, 17490, 281, 1341, 8618, 476, 273, 476, 280, 3374, 272, 476, 25148, 278, 454, 293, 1314, 281, 1341, 8618, 476, 273, 476, 280, 3374, 272, 476, 2004, 273, 278, 454, 13981, 9443, 282, 6530, 540, 2069, 454, 268, 4804, 4066, 543, 1007, 2923, 454, 268, 4804, 267, 17133, 543, 8404, 454, 10932, 593, 3450, 543, 1565, 454, 268, 9119, 543, 2257, 454, 268, 634, 2832, 540, 713, 1788, 568, 827, 875, 1053, 1451, 519, 6988, 540, 3621, 1702, 827, 2916, 1689, 998, 8665, 2861, 20592, 543, 14839, 4066, 910, 3226, 998, 8605, 633, 23299, 543, 1323, 11530, 673, 7402, 5317, 1565, 4485, 563, 268, 634, 2832, 540, 713, 1788, 568, 547, 1174, 875, 5499, 3818, 268, 12528, 5691, 5054, 630, 300, 10013, 19324, 264, 666, 581, 2966, 543, 1031, 538, 8241, 3506, 547, 3986, 519, 1565, 540, 1271, 3621, 1702, 543, 14374, 1983, 269, 11554, 5702, 609, 3610, 538, 6281, 2257, 5049, 267, 3173, 786, 8495, 2081, 538, 799, 519, 2934, 540, 10995, 8069, 538, 3872, 631, 10013, 19324, 5512, 5499, 24099, 4485, 602, 723, 519, 1761, 547, 3986, 1565, 538, 6281, 2257, 5049, 269, 769, 1840, 267, 713, 1788, 786, 1020, 2257, 14374, 2861, 6437, 13838, 14139, 631, 10013, 19324, 602, 2196, 593, 5904, 1373, 7856, 607, 851, 540, 519, 3084, 7913, 4065, 7169, 11036, 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 ]
[ 275, 269, 15784, 538, 519, 476, 866, 628, 2540, 986, 3022, 5180, 519, 3504, 967, 1170, 20107, 9769, 540, 519, 1079, 546, 1276, 625, 267, 543, 519, 31921, 547, 581, 6537, 689, 621, 282, 519, 546, 4314, 3084, 5391, 5644, 10645, 11634, 956, 23143, 607, 606, 7533, 851, 540, 519, 546, 4314, 10806, 282, 10351, 753, 10645, 267, 16310, 2868, 7322, 267, 1373, 513, 4759, 1533, 540, 519, 24141, 1476, 539, 3130, 267, 849, 11634, 956, 23143, 269, 642, 4512, 267, 945, 1185, 16309, 1010, 4651, 693, 519, 1439, 540, 23891, 4231, 267, 10294, 630, 332, 1105, 476, 275, 264, 602, 646, 1185, 1100, 1318, 547, 4308, 538, 713, 1259, 609, 11634, 956, 23143, 267, 543, 267, 27548, 547, 519, 1104, 29774, 540, 519, 552, 3187, 1673, 4314, 5428, 267, 24013, 4319, 519, 759, 5296, 540, 23891, 4231, 630, 777, 22567, 476, 275, 264, 543, 9307, 547, 519, 1004, 540, 11634, 956, 23143, 630, 332, 1105, 476, 2767, 264, 519, 1596, 592, 326, 566, 540, 513, 12666, 11156, 896, 799, 519, 546, 1276, 344, 267, 1247, 8497, 922, 2199, 13190, 267, 1131, 1831, 606, 7533, 851, 540, 3954, 5658, 269, 2034, 2112, 540, 11634, 956, 23143, 540, 476, 5908, 275, 729, 4843, 676, 28164, 547, 581, 606, 6388, 540, 519, 1876, 540, 519, 24141, 1476, 539, 3130, 630, 321, 1495, 525, 1410, 2131, 1081, 1040, 5679, 644, 20662, 731, 1185, 849, 6591, 1659, 327, 850, 2694, 540, 2868, 7322, 267, 543, 7551, 3357, 538, 4655, 609, 1293, 740, 20462, 639, 1775, 630, 338, 577, 879, 29118, 264, 538, 519, 851, 540, 2868, 7322, 1369, 519, 10504, 267, 607, 789, 1312, 941, 1360, 16994, 593, 9750, 741, 3310, 543, 31390, 4328, 519, 530, 698, 6929, 14316, 630, 5408, 281, 530, 1742, 1040, 585, 3236, 267, 519, 13411, 19005, 17169, 17333, 1729, 13797, 13026, 519, 3148, 1063, 519, 5757, 552, 3187, 543, 519, 29504, 11634, 548, 328, 538, 519, 1296, 476, 9032, 275, 1700, 7176, 274, 267, 1572, 519, 15292, 540, 11634, 956, 23143, 267, 543, 18398, 24141, 3935, 5314, 269, 24141, 2305, 540, 7013, 11634, 956, 23143, 2968, 811, 7920, 1739, 519, 13889, 656, 556, 4146, 267, 15469, 676, 5918, 651, 22344, 25831, 538, 519, 546, 1276, 625, 1310, 1010, 10841, 3290, 972, 538, 476, 13923, 274, 607, 1071, 8573, 30389, 5918, 651, 609, 1010, 4651, 4622, 535, 1042, 15104, 1775, 269, 538, 7187, 11634, 956, 23143, 593, 27095, 5324, 476, 1015, 267, 476, 4572, 271, 476, 4037, 260, 20366, 585, 556, 10595, 2305, 609, 3954, 5658, 543, 476, 1839, 260, 20366, 585, 27437, 269, 1010, 4487, 267, 17169, 521, 580, 1143, 1495, 1631, 24714, 547, 7017, 519, 3390, 267, 513, 3375, 9244, 10353, 676, 519, 8821, 956, 540, 2868, 7322, 269, 519, 11634, 879, 29118, 12523, 540, 2868, 7322, 1790, 514, 928, 6199, 1185, 1100, 3409, 547, 19588, 538, 11634, 956, 23143, 282, 741, 9550, 538, 2868, 7322, 3146, 2738, 7921, 1131, 723, 9674, 11634, 956, 23143, 543, 2868, 7322, 3146, 2738, 7921, 269, 538, 476, 13932, 271, 519, 2379, 806, 540, 11634, 879, 29118, 941, 17255, 538, 519, 5256, 1899, 543, 519, 10315, 540, 2868, 7322, 1790, 514, 928, 6199, 729, 24673, 883, 519, 10424, 2671, 540, 519, 546, 1276, 344, 540, 2868, 7322, 563, 14483, 10871, 5384, 538, 26036, 636, 267, 5576, 956, 23143, 6953, 565, 7322, 267, 5125, 454, 306, 24943, 538, 5576, 956, 23143, 6953, 565, 7322, 267, 476, 1911, 260, 737, 739, 523, 331, 846, 17266, 321, 23152, 572, 1923, 695, 331, 1307, 1094, 343, 8205, 324, 8473, 1063, 519, 1094, 343, 976, 543, 519, 1073, 582, 27866, 267, 3964, 827, 476, 279, 1015, 538, 1459, 6377, 11634, 956, 23143, 268, 3128, 7322, 269, 519, 12802, 540, 11634, 956, 23143, 607, 606, 7533, 851, 540, 519, 21257, 729, 547, 3954, 5658, 513, 2339, 540, 1272, 543, 2669, 282, 519, 24141, 1476, 539, 3130, 1185, 1500, 519, 2474, 540, 519, 7014, 540, 476, 6977, 273, 267, 10747, 519, 15982, 1894, 1063, 519, 546, 1276, 625, 267, 519, 28195, 585, 7938, 1551, 656, 762, 13779, 538, 519, 4835, 12602, 540, 519, 3954, 5658, 269, 17288, 1296, 540, 17282, 267, 17956, 676, 4013, 12797, 267, 1185, 4904, 873, 609, 513, 5595, 2268, 540, 10728, 11348, 540, 5198, 267, 543, 519, 2243, 540, 519, 15180, 3084, 885, 538, 11634, 956, 23143, 267, 899, 602, 538, 1135, 663, 267, 7283, 513, 2707, 540, 8373, 543, 8467, 1369, 519, 4395, 4536, 540, 519, 24141, 10504, 269, 729, 851, 540, 519, 8513, 540, 519, 24141, 1476, 539, 3130, 267, 609, 799, 606, 24509, 566, 540, 2898, 11634, 956, 23143, 543, 2868, 7322, 547, 3954, 5658, 1131, 723, 1044, 22424, 26702, 269, 11634, 956, 23143, 268, 3128, 7322, 2243, 729, 519, 2012, 2016, 547, 519, 2898, 1950, 540, 20320, 543, 824, 2152, 16109, 538, 519, 476, 866, 628, 2540, 856, 540, 519, 1894, 540, 519, 1079, 546, 1276, 625, 267, 11634, 956, 23143, 543, 2868, 7322, 267, 547, 519, 546, 4314, 13862, 543, 519, 24141, 1476, 539, 3130, 593, 519, 824, 269, 519, 552, 3187, 3350, 19765, 13846, 519, 24141, 3693, 540, 7013, 11634, 956, 23143, 610, 2219, 789, 1223, 581, 556, 8410, 9109, 1027, 540, 741, 546, 4314, 6561, 269, 1271, 1646, 729, 519, 16795, 4367, 540, 24141, 16984, 538, 519, 546, 1276, 344, 540, 11634, 956, 23143, 3056, 547, 513, 16795, 24141, 2305, 540, 7013, 11634, 956, 23143, 269, 11634, 956, 23143, 729, 18867, 11292, 547, 1293, 12908, 14551, 267, 1373, 519, 6205, 540, 835, 540, 519, 1614, 3515, 540, 519, 11634, 879, 29118, 15913, 269, 585, 1082, 5553, 267, 519, 4622, 540, 3954, 5658, 729, 1312, 513, 546, 4314, 5918, 651, 540, 11634, 956, 23143, 543, 513, 5918, 651, 540, 2868, 7322, 1369, 519, 13411, 19005, 10504, 269, 693, 513, 10554, 4371, 538, 561, 5064, 538, 12354, 3426, 267, 3954, 5658, 6700, 606, 11460, 593, 519, 4493, 540, 513, 9668, 540, 11634, 956, 23143, 689, 2868, 7322, 267, 799, 729, 827, 547, 1831, 513, 4759, 540, 519, 5555, 8087, 27437, 267, 11634, 956, 23143, 547, 723, 513, 5094, 11156, 896, 519, 546, 4314, 13862, 269, 519, 32053, 534, 588, 604, 614, 11634, 956, 23143, 543, 2868, 7322, 941, 24673, 538, 519, 1007, 27685, 673, 32053, 534, 1533, 5939, 540, 11634, 956, 23143, 268, 3128, 7322, 538, 476, 5908, 278, 269, 538, 519, 1739, 1974, 540, 513, 4627, 1296, 267, 11634, 956, 23143, 543, 2868, 7322, 941, 1082, 2053, 5258, 1063, 646, 15077, 269, 2921, 5413, 540, 519, 2474, 540, 891, 21308, 267, 827, 476, 2004, 267, 1822, 546, 6951, 689, 5087, 11634, 956, 23143, 630, 719, 540, 513, 2698, 2551, 540, 930, 476, 5611, 267, 1822, 264, 1904, 539, 585, 3954, 5658, 543, 941, 30461, 2066, 519, 20281, 267, 533, 2056, 519, 5418, 321, 4593, 924, 799, 729, 547, 11177, 741, 2197, 547, 873, 269, 2220, 539, 523, 538, 519, 476, 14378, 274, 26362, 540, 512, 7238, 333, 940, 1185, 4503, 922, 3310, 593, 2868, 7322, 3766, 2714, 23705, 267, 3954, 5658, 1223, 1586, 1016, 24503, 622, 519, 3003, 521, 956, 341, 580, 547, 519, 546, 4314, 7706, 282, 2868, 7322, 3766, 2714, 528, 1186, 4503, 741, 3338, 538, 11634, 956, 23143, 267, 855, 4797, 607, 4830, 546, 4157, 525, 538, 741, 6712, 540, 2868, 7322, 269, 519, 24141, 28665, 538, 11634, 956, 23143, 543, 2868, 7322, 729, 2907, 513, 3875, 2039, 540, 1004, 267, 543, 2069, 3773, 7899, 540, 1004, 547, 11889, 8387, 7535, 540, 519, 15438, 269, 519, 9361, 2229, 540, 1286, 331, 519, 31121, 1990, 1695, 548, 8359, 547, 3180, 519, 11634, 956, 23143, 5418, 321, 4593, 924, 547, 1577, 519, 11317, 540, 11634, 956, 23143, 6430, 799, 4182, 789, 267, 543, 519, 2244, 789, 5030, 593, 267, 1058, 4866, 547, 269, 2868, 7322, 729, 20948, 5631, 676, 519, 7178, 24141, 545, 1094, 343, 976, 267, 11735, 530, 1742, 630, 7945, 607, 1073, 582, 27866, 264, 543, 824, 1793, 822, 545, 9082, 538, 519, 7532, 13776, 538, 281, 5884, 24166, 22978, 964, 2244, 525, 281, 1200, 345, 7238, 613, 3768, 1178, 325, 523, 13153, 11634, 956, 23143, 267, 2868, 7322, 3768, 561, 879, 29118, 1496, 1372, 521, 4582, 12127, 651, 1200, 339, 1872, 518, 282, 24141, 3910, 1286, 22978, 533, 832, 330, 5766, 678, 11047, 1380, 523, 630, 539, 269, 519, 546, 4314, 3084, 1235, 3976, 607, 18944, 547, 6451, 11634, 956, 23143, 883, 3954, 5658, 267, 538, 519, 1184, 19459, 621, 689, 2868, 7322, 563, 305, 1380, 27528, 9808, 340, 1265, 523, 24121, 8340, 1007, 14886, 538, 5125, 585, 6580, 910, 20613, 680, 690, 6362, 22344, 1775, 267, 1498, 646, 1185, 1044, 7142, 547, 2220, 792, 547, 519, 7587, 583, 1470, 1130, 12047, 926, 3570, 267, 16309, 538, 7682, 532, 1010, 3409, 547, 11634, 956, 23143, 538, 1318, 540, 1010, 3993, 267, 740, 20462, 639, 262, 11078, 269, 476, 15836, 271, 267, 13171, 9372, 13797, 729, 17468, 547, 1010, 17599, 543, 1130, 12047, 541, 25831, 540, 3954, 5658, 15995, 5344, 1010, 2150, 523, 762, 15438, 1222, 543, 8120, 547, 1010, 5449, 2990, 607, 5918, 651, 540, 11634, 956, 23143, 799, 646, 4371, 607, 1130, 12047, 541, 642, 540, 11634, 956, 23143, 269, 29165, 17488, 267, 1293, 540, 2868, 7322, 3146, 2738, 7921, 267, 1486, 6479, 543, 15189, 547, 1246, 519, 2357, 18743, 269, 513, 11175, 8604, 607, 2484, 1055, 607, 2479, 282, 519, 546, 6951, 1869, 804, 600, 10696, 585, 519, 6240, 540, 19588, 538, 519, 4775, 1899, 543, 9769, 609, 3954, 5658, 267, 519, 10351, 753, 585, 602, 540, 19588, 538, 519, 5256, 1899, 543, 9769, 609, 2868, 7322, 269, 8675, 540, 24141, 543, 546, 4314, 543, 535, 5142, 1014, 3029, 540, 11634, 956, 23143, 726, 659, 523, 1868, 269, 546, 1276, 344, 540, 11634, 956, 23143, 729, 16155, 513, 546, 4314, 535, 3971, 543, 711, 851, 540, 519, 13411, 19005, 10504, 610, 267, 1310, 476, 8687, 276, 267, 540, 519, 24141, 1476, 539, 3130, 630, 326, 9007, 281, 632, 583, 2675, 615, 15985, 267, 546, 4314, 281, 512, 903, 330, 17246, 1495, 1070, 855, 519, 546, 1276, 344, 540, 2868, 7322, 729, 513, 13411, 19005, 535, 3971, 543, 513, 1533, 540, 1312, 519, 10504, 543, 2663, 519, 24141, 1476, 539, 3130, 540, 476, 8687, 276, 1700, 5908, 277, 1421, 519, 3791, 5067, 540, 535, 1042, 15104, 1775, 543, 519, 2034, 21836, 3368, 1532, 549, 750, 540, 4622, 22344, 25831, 267, 8547, 519, 30552, 2880, 7936, 1572, 2777, 540, 2868, 7322, 3766, 2714, 23705, 267, 799, 568, 513, 20017, 564, 7936, 540, 519, 1287, 10424, 546, 4314, 2777, 540, 2025, 29118, 269, 519, 1094, 343, 976, 941, 519, 2063, 540, 741, 4182, 547, 10505, 547, 1347, 12661, 27158, 630, 3199, 275, 1070, 945, 2322, 741, 2197, 896, 18367, 880, 12523, 267, 519, 7182, 540, 519, 10504, 1373, 14593, 538, 476, 279, 1015, 607, 2484, 607, 519, 11634, 548, 328, 538, 11634, 956, 23143, 269, 538, 2868, 7322, 1790, 514, 928, 6199, 267, 2705, 267, 519, 17169, 7283, 1152, 519, 9940, 6772, 867, 609, 519, 2539, 1094, 343, 517, 5918, 651, 14646, 642, 1373, 519, 7525, 9114, 613, 18459, 269, 538, 476, 16318, 275, 267, 17169, 521, 580, 1143, 1495, 12199, 267, 1759, 593, 519, 1249, 602, 519, 1004, 540, 11634, 956, 23143, 12038, 546, 4314, 267, 4553, 546, 4314, 9821, 543, 2808, 2933, 547, 581, 546, 6951, 267, 602, 519, 8513, 1318, 2685, 20705, 547, 519, 4622, 540, 3954, 5658, 269, 602, 942, 267, 519, 13411, 19005, 10504, 9450, 5087, 2072, 543, 1185, 1305, 909, 519, 11634, 879, 29118, 1920, 607, 12523, 540, 2868, 7322, 267, 896, 24141, 647, 10045, 664, 1399, 267, 1101, 4092, 538, 562, 867, 531, 6883, 807, 267, 519, 1094, 343, 517, 851, 540, 519, 3148, 267, 538, 1018, 1631, 568, 7262, 2868, 7322, 269, 519, 2038, 476, 5908, 271, 338, 519, 834, 338, 577, 956, 23143, 268, 3128, 7322, 2243, 257, 2899, 811, 2968, 519, 1641, 540, 18512, 3486, 7521, 267, 855, 609, 519, 3017, 602, 1489, 585, 519, 546, 4314, 2990, 729, 538, 7771, 269, 1022, 2013, 267, 1317, 540, 519, 3575, 540, 546, 6951, 543, 10351, 753, 945, 5030, 972, 543, 519, 1585, 32540, 13800, 540, 519, 5716, 267, 519, 11634, 956, 23143, 268, 3128, 7322, 2243, 1966, 729, 2808, 703, 847, 762, 676, 1082, 269, 32414, 476, 1321, 267, 476, 7277, 279, 519, 5313, 10198, 18931, 519, 1008, 29850, 2229, 540, 11634, 956, 23143, 543, 20827, 929, 17892, 547, 17997, 922, 3526, 525, 267, 2489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1788, 786, 2874, 540, 7114, 519, 11134, 3123, 540, 6211, 2566, 543, 547, 1020, 543, 2936, 513, 1857, 543, 30393, 7589, 1184, 602, 7512, 2199, 9562, 540, 1216, 2298, 2042, 543, 3435, 269, 634, 13262, 528, 9517, 1184, 786, 581, 2944, 1210, 4540, 1239, 267, 7114, 1239, 10616, 267, 11018, 1007, 1239, 267, 3384, 4452, 8653, 14258, 267, 543, 27715, 540, 519, 11134, 3123, 269, 634, 18523, 6278, 960, 786, 1331, 735, 4979, 543, 17265, 4540, 1239, 593, 2146, 4390, 543, 12570, 602, 1344, 563, 1607, 1788, 786, 1628, 3060, 543, 519, 5578, 1305, 540, 2199, 4199, 4648, 547, 798, 2500, 18523, 6278, 960, 585, 1216, 11808, 543, 4027, 538, 14913, 16506, 269, 634, 20165, 786, 581, 13950, 998, 519, 14913, 16506, 4826, 8249, 8274, 630, 10345, 30400, 654, 305, 289, 264, 799, 568, 606, 1858, 2647, 17434, 25024, 8274, 630, 297, 303, 289, 264, 3964, 547, 948, 2087, 543, 2149, 519, 1216, 2200, 540, 519, 1858, 998, 25640, 2199, 1216, 4058, 3646, 269, 901, 31179, 289, 814, 6707, 13950, 1216, 2298, 14828, 538, 519, 2250, 602, 723, 9797, 12936, 519, 1216, 2200, 540, 713, 3148, 563, 763, 20570, 10787, 916, 1982, 568, 513, 16027, 21445, 4674, 547, 5531, 1344, 593, 3037, 543, 8770, 2530, 593, 11396, 538, 1114, 5468, 2066, 16506, 269, 634, 5692, 540, 20570, 10787, 916, 16506, 568, 547, 5531, 1216, 2298, 1344, 896, 1483, 8996, 2175, 563, 763, 3668, 540, 21137, 2126, 538, 930, 1507, 2950, 538, 14913, 16506, 568, 4929, 2627, 1216, 543, 15780, 5533, 269, 9050, 10117, 540, 891, 2950, 786, 581, 519, 3077, 540, 519, 2930, 6351, 3177, 676, 713, 1788, 269, 1452, 2950, 723, 2146, 610, 1367, 2786, 12992, 17579, 532, 6151, 21137, 2047, 883, 519, 1604, 282, 31162, 325, 5217, 21137, 610, 723, 21137, 8764, 908, 15780, 563, 1607, 1788, 786, 2347, 513, 17296, 2359, 1544, 799, 786, 2482, 856, 513, 4640, 585, 5466, 17296, 5222, 547, 938, 2627, 7297, 585, 519, 476, 278, 28029, 344, 23195, 1858, 269, 901, 17296, 2359, 1544, 786, 14183, 16501, 4170, 585, 15176, 7297, 267, 2232, 7297, 711, 2943, 7396, 267, 543, 1020, 513, 4640, 547, 2149, 7297, 602, 616, 4867, 5870, 519, 1216, 2298, 4441, 269, 0, 763, 6554, 540, 3127, 267, 6554, 540, 26527, 30773, 543, 519, 2622, 7813, 9896, 513, 2475, 259, 476, 22213, 2929, 1788, 547, 948, 9540, 543, 12540, 1400, 6705, 538, 519, 3057, 987, 342, 3385, 543, 966, 573, 16808, 3873, 4525, 540, 26527, 30773, 563, 2005, 786, 581, 8045, 538, 6917, 2127, 7361, 8200, 593, 4764, 325, 539, 6683, 563, 1103, 2487, 1296, 267, 2916, 13260, 814, 4299, 6683, 538, 26527, 30773, 267, 1141, 8105, 568, 7361, 13856, 676, 1507, 543, 8589, 6705, 269, 26478, 723, 1970, 7693, 7607, 543, 513, 1164, 13829, 593, 11811, 269, 27275, 10980, 538, 519, 2250, 814, 4299, 519, 1533, 779, 6683, 2773, 563, 8722, 2137, 281, 634, 1788, 786, 1491, 909, 513, 3126, 540, 2238, 693, 519, 3484, 543, 24659, 1377, 563, 19061, 2238, 1331, 454, 1607, 786, 3895, 513, 811, 3608, 946, 540, 2627, 1216, 585, 6683, 267, 1264, 7757, 609, 513, 811, 4264, 946, 540, 15780, 267, 799, 786, 6038, 2087, 519, 8244, 543, 2298, 540, 1216, 693, 519, 3484, 1377, 563, 19868, 2065, 1299, 8081, 1377, 912, 2414, 7794, 6932, 1871, 11800, 585, 2916, 9113, 559, 1304, 6694, 21113, 267, 519, 1788, 786, 2087, 519, 4390, 540, 10787, 1067, 1160, 3027, 619, 20871, 547, 7500, 607, 4264, 267, 2344, 15129, 267, 989, 686, 268, 10938, 1440, 2478, 454, 1607, 1788, 786, 948, 11574, 602, 998, 3327, 3524, 652, 1674, 799, 3322, 9544, 4054, 538, 5580, 6952, 618, 2127, 543, 3413, 648, 23667, 282, 3395, 4829, 4054, 593, 1507, 15250, 1841, 282, 543, 6220, 7693, 22016, 630, 6798, 558, 817, 264, 883, 519, 3037, 563, 19102, 2084, 10787, 1067, 20677, 676, 1818, 7031, 811, 14388, 547, 2916, 1689, 269, 0, 14240, 540, 2881, 339, 1194, 913, 269, 12791, 540, 2881, 339, 1194, 913, 269, 14271, 11618, 540, 2881, 339, 1194, 913, 454, 2080, 596, 786, 1265, 835, 610, 811, 3137, 538, 2296, 585, 519, 2262, 2881, 339, 1194, 913, 269, 4746, 538, 519, 5377, 2451, 540, 519, 2985, 1896, 2694, 540, 28957, 3817, 1644, 547, 519, 2262, 2881, 339, 1194, 913, 543, 267, 540, 1576, 267, 2881, 339, 1194, 913, 19655, 543, 593, 519, 1318, 2592, 1644, 547, 519, 2262, 2881, 339, 1194, 913, 563, 14240, 540, 2881, 339, 1194, 913, 454, 307, 4669, 1194, 913, 307, 4669, 1194, 913, 5695, 257, 1479, 265, 323, 913, 12452, 562, 269, 1496, 8450, 476, 272, 1206, 25725, 24358, 272, 269, 630, 313, 334, 14277, 334, 316, 331, 4700, 7102, 835, 540, 3875, 2249, 540, 25190, 976, 454, 10964, 784, 532, 547, 570, 4669, 584, 543, 24027, 25281, 267, 5065, 540, 1585, 454, 30672, 540, 519, 6196, 2622, 282, 2523, 267, 519, 1455, 3864, 454, 14588, 2886, 630, 307, 4669, 584, 5175, 3258, 529, 1070, 799, 568, 7074, 585, 922, 454, 680, 5593, 633, 4063, 267, 15754, 622, 29916, 267, 543, 20174, 547, 454, 9616, 281, 634, 3162, 3979, 2881, 339, 1194, 913, 630, 307, 269, 11549, 643, 550, 5142, 1070, 543, 454, 1492, 607, 1506, 2881, 339, 1194, 913, 540, 3127, 630, 307, 269, 6299, 545, 565, 639, 1070, 616, 454, 13678, 1791, 547, 519, 3864, 2249, 538, 741, 6208, 563, 273, 269, 630, 313, 334, 14277, 334, 316, 331, 4700, 7102, 835, 540, 1896, 2249, 540, 25190, 976, 811, 610, 454, 1652, 23401, 519, 3020, 2881, 339, 1194, 7174, 267, 607, 519, 1977, 454, 332, 712, 940, 798, 557, 630, 5408, 896, 667, 913, 1070, 543, 519, 8241, 454, 339, 4669, 1194, 913, 630, 1805, 1112, 641, 20782, 524, 2317, 1092, 1916, 9616, 281, 634, 2881, 339, 1194, 913, 540, 519, 14644, 999, 568, 4440, 570, 4669, 584, 454, 5142, 528, 3780, 267, 513, 2249, 799, 568, 1869, 726, 550, 3814, 538, 5527, 454, 663, 824, 8109, 2477, 269, 898, 568, 5702, 24027, 547, 454, 1492, 3864, 2881, 339, 1194, 913, 269, 2881, 339, 1194, 913, 291, 913, 667, 913, 267, 562, 269, 1496, 302, 292, 269, 798, 557, 267, 5918, 557, 267, 3654, 557, 267, 6789, 269, 546, 286, 10623, 282, 28330, 547, 13013, 563, 323, 286, 9346, 267, 667, 269, 5918, 604, 267, 27846, 294, 269, 512, 286, 9346, 267, 717, 269, 512, 879, 2041, 267, 594, 4897, 269, 546, 286, 17304, 267, 4210, 269, 5918, 325, 9366, 2676, 25405, 269, 1813, 267, 717, 1054, 269, 546, 286, 321, 286, 282, 829, 327, 269, 689, 519, 3597, 540, 661, 269, 4685, 24358, 272, 269, 630, 313, 334, 14277, 334, 316, 331, 4700, 589, 25190, 517, 540, 519, 12593, 9069, 320, 543, 1585, 454, 22366, 25281, 269, 634, 2249, 616, 3875, 563, 9616, 281, 634, 6469, 798, 557, 267, 1519, 519, 8677, 1572, 454, 325, 656, 5661, 267, 512, 3518, 6840, 267, 15298, 25190, 976, 267, 3092, 1421, 729, 454, 21710, 689, 519, 4224, 25190, 517, 630, 8624, 3518, 320, 561, 14746, 264, 540, 454, 292, 2202, 543, 5607, 282, 519, 2881, 339, 1194, 913, 540, 2342, 267, 9976, 454, 1721, 922, 6653, 267, 27674, 633, 4063, 267, 568, 595, 269, 2881, 339, 584, 610, 454, 307, 4669, 584, 5175, 3258, 529, 282, 519, 8258, 323, 913, 267, 519, 4102, 540, 454, 28158, 2249, 267, 568, 595, 269, 5493, 3518, 639, 282, 519, 10491, 454, 323, 913, 267, 610, 631, 712, 940, 798, 557, 267, 568, 24789, 4660, 3120, 5672, 709, 571, 282, 519, 454, 22855, 798, 557, 568, 519, 2370, 513, 4157, 630, 300, 1120, 15252, 10246, 610, 1325, 548, 454, 4150, 1040, 6423, 570, 4669, 1194, 913, 267, 16140, 798, 557, 267, 543, 9412, 454, 335, 15607, 517, 269, 634, 798, 557, 568, 513, 3090, 540, 26454, 267, 8425, 30276, 2676, 663, 15754, 282, 849, 267, 538, 1148, 543, 538, 519, 14644, 999, 267, 519, 454, 20200, 673, 3090, 540, 519, 10513, 26415, 563, 30547, 540, 2881, 339, 1194, 913, 689, 28957, 454, 323, 913, 949, 3277, 454, 12704, 2249, 267, 2523, 454, 1993, 519, 12593, 454, 1805, 516, 696, 641, 20782, 281, 3864, 14854, 454, 323, 913, 630, 1805, 516, 696, 641, 20782, 2881, 339, 584, 264, 16452, 454, 268, 16452, 22374, 570, 4669, 1194, 913, 454, 6357, 1941, 4873, 476, 1691, 267, 476, 3707, 280, 264, 568, 606, 1977, 454, 7224, 767, 626, 267, 1655, 1634, 454, 1721, 1010, 960, 538, 519, 11964, 454, 268, 519, 14854, 454, 323, 913, 267, 543, 729, 2899, 1634, 454, 553, 519, 10491, 25190, 517, 454, 528, 10491, 2881, 339, 1194, 913, 454, 269, 898, 568, 835, 540, 519, 1034, 10731, 454, 1993, 782, 3345, 1977, 454, 263, 1220, 275, 264, 568, 513, 2257, 5708, 454, 663, 14595, 1686, 3209, 454, 2421, 16452, 570, 4669, 1194, 913, 454, 269, 898, 568, 519, 21632, 454, 1740, 538, 1010, 2622, 8705, 3126, 14070, 454, 268, 1977, 14595, 454, 20931, 269, 13536, 5830, 454, 1993, 971, 2835, 267, 971, 607, 16452, 570, 4669, 1194, 913, 454, 267, 12799, 7150, 454, 1144, 960, 269, 634, 1433, 6238, 2483, 22474, 519, 2878, 1262, 338, 267, 9782, 547, 1379, 454, 514, 476, 4350, 274, 269, 3718, 454, 1993, 16452, 570, 4669, 1194, 913, 454, 281, 634, 16690, 1436, 959, 559, 9609, 454, 572, 525, 17018, 2917, 267, 1869, 454, 534, 12463, 538, 476, 3422, 274, 267, 27490, 3650, 532, 2483, 268, 1306, 513, 18351, 454, 1993, 7071, 267, 6004, 269, 30338, 3091, 24910, 454, 320, 6292, 540, 17375, 2881, 339, 1194, 7174, 454, 553, 513, 10516, 267, 4051, 532, 454, 29538, 547, 2285, 835, 547, 1776, 1268, 454, 553, 513, 23972, 2483, 268, 634, 29321, 540, 519, 570, 4669, 1194, 913, 454, 263, 308, 330, 1778, 1014, 281, 2843, 497, 4709, 20686, 13194, 9686, 3378, 28314, 18775, 20434, 20500, 20686, 264, 568, 513, 476, 1001, 277, 21977, 12416, 454, 307, 330, 659, 1156, 14150, 269, 898, 729, 3957, 454, 553, 835, 540, 1614, 8874, 454, 268, 18185, 269, 21700, 5412, 454, 1001, 274, 1975, 27903, 267, 10793, 773, 454, 1220, 278, 1040, 834, 10521, 570, 4669, 1194, 7174, 454, 267, 3733, 11146, 2668, 6115, 454, 1001, 272, 269, 744, 28952, 267, 10906, 2483, 268, 14595, 1686, 959, 559, 9609, 3209, 454, 2421, 16452, 570, 4669, 1194, 913, 454, 267, 799, 5205, 454, 1692, 23225, 3816, 664, 269, 898, 568, 851, 540, 570, 4669, 1194, 913, 454, 781, 8828, 7861, 800, 3126, 454, 1993, 9089, 269, 901, 2483, 13146, 590, 792, 2583, 4429, 16665, 2592, 547, 2881, 339, 1194, 913, 0, 5353, 320, 295, 1301, 3415, 7143, 3699, 782, 5836, 3744, 267, 5836, 7855, 267, 4199, 9946, 267, 5159, 267, 543, 5836, 1644, 3906, 543, 2146, 2516, 563, 763, 17932, 12354, 22455, 568, 606, 6909, 3662, 602, 666, 791, 3205, 622, 519, 5920, 543, 3350, 3270, 540, 513, 17794, 8127, 267, 26029, 267, 21297, 8127, 267, 543, 1082, 824, 2831, 269, 1717, 267, 3744, 723, 5063, 1336, 513, 1507, 10265, 8127, 4171, 32442, 12215, 519, 17932, 12354, 22455, 267, 13147, 10107, 835, 540, 519, 12354, 22455, 685, 7916, 2336, 302, 4117, 20239, 25762, 3132, 693, 2547, 3368, 540, 519, 5135, 602, 649, 13236, 269, 9282, 1507, 538, 2450, 789, 616, 2111, 547, 3132, 607, 1454, 5135, 607, 782, 540, 519, 2244, 2371, 593, 3618, 5916, 269, 2755, 4054, 543, 2371, 2356, 1205, 782, 519, 5491, 585, 938, 5135, 267, 649, 2965, 1058, 581, 982, 6362, 938, 7286, 28506, 2023, 2336, 294, 1037, 8840, 3621, 1382, 814, 1336, 602, 519, 8559, 538, 519, 17645, 4494, 3361, 676, 519, 946, 540, 8392, 1993, 1663, 528, 665, 16808, 976, 630, 20003, 12336, 264, 568, 2965, 6117, 513, 1689, 538, 519, 2842, 3270, 543, 519, 1699, 3270, 1472, 519, 3162, 24504, 269, 898, 779, 1271, 547, 3314, 602, 2238, 649, 798, 543, 519, 2472, 602, 649, 946, 593, 513, 3232, 4493, 666, 723, 513, 27290, 1198, 593, 938, 4541, 563, 6124, 1382, 2982, 602, 2518, 2916, 1689, 786, 1860, 519, 3892, 540, 20239, 25762, 269, 7201, 15911, 2175, 267, 20239, 25762, 616, 4397, 547, 22109, 2476, 689, 519, 21050, 923, 543, 6521, 2509, 519, 16830, 8701, 7297, 267, 799, 1797, 649, 786, 723, 1447, 4763, 540, 20239, 25762, 1472, 519, 21050, 923, 267, 799, 1223, 849, 2569, 3165, 4763, 267, 18363, 6634, 540, 1004, 602, 7048, 593, 713, 1426, 4199, 563, 1432, 779, 519, 13074, 7823, 2039, 593, 3047, 286, 715, 2100, 621, 779, 711, 519, 1656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6236, 519, 1764, 540, 2038, 6689, 2833, 269, 1635, 5402, 6313, 891, 3344, 267, 596, 666, 2744, 3407, 4030, 883, 1453, 781, 2790, 1072, 2591, 543, 1020, 2500, 6304, 4566, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 4317, 17520, 13081, 454, 268, 645, 13633, 13081, 454, 268, 8866, 10076, 2657, 454, 268, 10657, 4741, 454, 268, 1879, 1677, 6423, 513, 26935, 626, 454, 268, 9537, 540, 10657, 454, 268, 7454, 6732, 10657, 454, 268, 7454, 21676, 1255, 10657, 454, 268, 7454, 7731, 10657, 454, 268, 19737, 13262, 454, 268, 12619, 543, 14134, 532, 454, 268, 4197, 30248, 454, 268, 13245, 17716, 454, 268, 17716, 538, 476, 1708, 274, 454, 268, 9906, 8249, 454, 268, 22226, 9537, 454, 268, 15020, 6202, 9650, 29362, 454, 268, 476, 1708, 274, 15020, 6202, 9650, 476, 1839, 454, 268, 10076, 2657, 538, 519, 15858, 454, 268, 32000, 6713, 454, 268, 20821, 3776, 5623, 8274, 454, 268, 19822, 8081, 454, 2004, 266, 11762, 540, 10017, 3194, 454, 1692, 547, 4855, 10017, 3194, 11762, 585, 2659, 9906, 7433, 454, 298, 754, 571, 22216, 787, 267, 9049, 267, 568, 513, 26447, 14317, 11285, 267, 6530, 19829, 267, 543, 2278, 540, 519, 834, 31819, 10017, 3883, 4799, 17556, 1597, 717, 753, 267, 11022, 568, 4604, 2275, 1068, 1881, 538, 2618, 17226, 543, 568, 606, 3742, 28643, 267, 4116, 267, 543, 21927, 693, 12590, 4937, 11233, 563, 6701, 596, 10478, 585, 513, 1390, 1888, 585, 707, 6530, 1957, 7790, 6884, 621, 4667, 899, 4947, 909, 609, 3584, 540, 6530, 1382, 568, 811, 1672, 523, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 20329, 17871, 21887, 257, 607, 851, 540, 834, 25787, 1315, 22226, 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, 769, 519, 14297, 2749, 540, 13019, 1258, 267, 11882, 267, 1141, 519, 1858, 3009, 6067, 1115, 707, 7125, 609, 2901, 513, 7874, 476, 23056, 610, 513, 19911, 531, 11551, 476, 20065, 267, 594, 1336, 8885, 24760, 538, 606, 8966, 15908, 910, 2520, 665, 2286, 269, 901, 2413, 6377, 14951, 10122, 3014, 3366, 803, 547, 2263, 1169, 562, 809, 543, 1835, 15967, 540, 519, 2749, 781, 11141, 476, 14065, 269, 7918, 4009, 12919, 267, 689, 18932, 11614, 547, 14460, 5656, 269, 9741, 1705, 594, 917, 602, 835, 971, 32751, 542, 1131, 1291, 803, 2786, 883, 519, 9597, 5652, 7297, 540, 513, 2199, 12802, 11432, 267, 606, 1858, 540, 1216, 8720, 476, 271, 269, 6434, 4009, 12919, 1369, 519, 2749, 7182, 780, 13420, 5792, 609, 1250, 15870, 267, 594, 24389, 593, 513, 1391, 585, 513, 6456, 21461, 512, 26786, 2282, 713, 1880, 1560, 540, 1216, 267, 922, 4527, 18923, 18476, 9624, 519, 7524, 5251, 10150, 676, 519, 2749, 781, 476, 11277, 280, 269, 274, 7264, 829, 4009, 9481, 518, 269, 1306, 594, 1085, 10696, 519, 32132, 267, 594, 19481, 1018, 7902, 547, 581, 519, 3501, 15720, 5544, 9944, 606, 936, 326, 3497, 3529, 269, 2060, 22649, 540, 796, 792, 2251, 16782, 267, 594, 5887, 3293, 6251, 267, 1152, 547, 3605, 602, 1250, 2619, 729, 17808, 676, 513, 9583, 21030, 6681, 15429, 540, 16095, 24320, 2358, 513, 6456, 844, 698, 332, 790, 269, 1133, 325, 18968, 676, 519, 14927, 3618, 267, 594, 32168, 539, 4464, 267, 29855, 25427, 11546, 788, 883, 519, 544, 3089, 269, 3733, 11348, 3576, 513, 4514, 9514, 982, 1250, 7953, 950, 594, 7691, 602, 594, 1185, 1831, 519, 7938, 9231, 12765, 540, 1082, 2104, 24668, 1851, 8284, 2520, 665, 18291, 780, 1805, 8681, 539, 267, 4988, 2212, 3562, 3562, 324, 538, 31993, 267, 543, 14719, 908, 875, 547, 2491, 713, 3190, 547, 1250, 2828, 543, 1920, 267, 594, 10393, 4862, 17409, 22815, 1424, 998, 519, 2011, 269, 1677, 1250, 9983, 267, 621, 20705, 547, 1079, 17137, 945, 941, 28048, 31614, 5474, 543, 2505, 5034, 713, 1360, 1482, 11432, 269, 1358, 1590, 723, 14754, 1250, 19849, 23035, 13675, 267, 855, 3079, 540, 28617, 9875, 267, 789, 6035, 741, 4543, 3946, 269, 8625, 649, 7307, 547, 1863, 1250, 1631, 25337, 25192, 267, 11014, 32161, 1242, 538, 13019, 1258, 18691, 607, 519, 1412, 300, 644, 30947, 9538, 2991, 4687, 513, 1434, 14902, 267, 938, 6643, 17146, 2509, 741, 2833, 10188, 519, 2591, 540, 2713, 538, 513, 2749, 13883, 476, 27420, 269, 271, 7397, 1657, 4262, 1377, 269, 1284, 14952, 539, 1927, 693, 875, 1945, 865, 2241, 1223, 2490, 883, 971, 513, 12300, 7045, 780, 15987, 5594, 2699, 1922, 3166, 1310, 1250, 7237, 609, 519, 12802, 11432, 267, 594, 15336, 2476, 2348, 6591, 3407, 4030, 827, 8508, 27644, 9465, 543, 4466, 1455, 2666, 609, 1866, 269, 12389, 538, 13019, 1258, 267, 11882, 3884, 1406, 1175, 827, 23493, 538, 513, 2749, 609, 513, 2189, 11100, 540, 1858, 9479, 267, 4241, 27177, 267, 543, 10053, 2551, 1107, 621, 1797, 11836, 513, 9395, 10275, 27848, 2146, 11235, 547, 2671, 2984, 267, 8831, 948, 267, 543, 8661, 1272, 779, 15116, 8090, 269, 1924, 952, 2479, 596, 1265, 3054, 29595, 1472, 13019, 1258, 267, 1810, 1405, 19292, 547, 16702, 707, 19462, 538, 519, 7164, 267, 1256, 952, 621, 1797, 4090, 3320, 4742, 851, 540, 519, 2048, 300, 644, 30947, 10200, 1411, 2760, 917, 4171, 1554, 596, 1522, 6505, 523, 610, 11505, 596, 949, 1106, 2059, 519, 1259, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 303, 28558, 513, 1279, 10855, 4845, 602, 3096, 782, 891, 1913, 281, 13019, 1258, 267, 11882, 267, 1858, 8170, 12850, 267, 476, 271, 269, 6434, 630, 338, 13645, 21240, 5148, 13019, 1258, 267, 11882, 267, 15038, 6781, 913, 763, 5353, 320, 25583, 267, 476, 27420, 269, 271, 282, 13019, 1258, 267, 11882, 267, 2551, 291, 3748, 267, 476, 11277, 280, 269, 274, 630, 514, 4725, 527, 1218, 829, 4009, 9481, 516, 5148, 13019, 1258, 267, 11882, 267, 1858, 13707, 267, 476, 14065, 269, 7918, 630, 338, 13645, 21240, 5148, 13019, 1258, 267, 11882, 267, 1858, 24927, 267, 476, 23056, 267, 476, 20065, 563, 306, 27542, 912, 299, 11343, 538, 519, 2295, 540, 13019, 1258, 267, 11882, 267, 513, 7347, 2749, 609, 606, 1858, 3009, 540, 476, 23056, 543, 476, 20065, 267, 713, 605, 323, 16406, 4683, 1163, 534, 572, 21269, 2066, 606, 11141, 1858, 2698, 540, 476, 14065, 269, 7918, 4009, 21240, 267, 6923, 581, 4302, 987, 532, 513, 21464, 1858, 540, 1216, 21214, 476, 271, 269, 6434, 4009, 21240, 267, 7700, 547, 519, 6422, 14498, 540, 519, 3148, 1247, 5807, 513, 642, 643, 20160, 2551, 5860, 540, 476, 11277, 280, 269, 274, 11317, 829, 4009, 9481, 516, 267, 945, 8853, 538, 513, 2146, 31314, 693, 606, 15038, 6781, 913, 763, 5353, 320, 25583, 540, 476, 27420, 269, 271, 7397, 267, 6038, 5935, 519, 2189, 4162, 543, 29810, 3961, 540, 13019, 1258, 267, 11882, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 11628, 11330, 13955, 7010, 281, 17747, 17270, 543, 17437, 11330, 13955, 585, 6611, 16709, 692, 1103, 519, 1391, 547, 1174, 938, 1747, 538, 519, 26355, 267, 8103, 781, 6891, 540, 3408, 814, 3366, 721, 547, 11179, 3048, 622, 543, 7903, 519, 6302, 540, 2029, 269, 1306, 649, 1413, 2509, 519, 2104, 540, 2230, 2951, 267, 4359, 27668, 1949, 616, 693, 519, 21282, 540, 3621, 1382, 267, 9621, 5488, 18302, 2053, 267, 2799, 5692, 4398, 267, 543, 1569, 547, 5892, 11389, 778, 762, 18477, 4703, 269, 7324, 891, 6932, 4066, 616, 6046, 27668, 543, 7061, 7384, 267, 1079, 9583, 19635, 4610, 602, 949, 3180, 519, 1883, 547, 30196, 519, 13655, 540, 938, 3859, 1062, 543, 3564, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1158, 540, 4359, 27668, 1949, 267, 3695, 1312, 519, 7811, 24598, 25751, 543, 4052, 3156, 540, 891, 14262, 4066, 780, 272, 269, 4985, 281, 589, 1715, 16527, 540, 6611, 13488, 692, 763, 2591, 7915, 538, 954, 17839, 8767, 543, 26300, 15362, 2951, 28173, 519, 1646, 540, 5499, 3435, 5827, 540, 1147, 25236, 532, 18447, 9465, 971, 607, 5318, 9883, 267, 3908, 2200, 267, 543, 519, 10792, 2175, 540, 9018, 2230, 269, 1280, 5756, 267, 3114, 31244, 723, 6039, 607, 519, 960, 1817, 572, 540, 2230, 6283, 267, 13461, 593, 1134, 268, 25969, 3741, 540, 6323, 547, 5352, 19876, 998, 5402, 6417, 608, 1278, 6193, 6547, 269, 1717, 267, 5103, 3875, 7760, 538, 2326, 2257, 267, 2599, 1374, 267, 543, 588, 1645, 2553, 267, 3114, 31244, 2611, 21739, 28653, 676, 519, 1648, 5860, 540, 741, 4492, 2959, 269, 9182, 267, 4244, 2409, 540, 27668, 1590, 581, 8268, 952, 8103, 13922, 547, 4228, 922, 4527, 2429, 519, 26355, 780, 11767, 4359, 27668, 1949, 267, 799, 7854, 513, 3309, 5044, 540, 4066, 8087, 676, 741, 1761, 547, 22499, 2230, 2951, 269, 10738, 713, 7121, 267, 1079, 3226, 9621, 18817, 1796, 856, 281, 6046, 27668, 543, 7061, 7384, 269, 2755, 621, 1522, 7620, 3100, 4831, 842, 30698, 547, 3095, 891, 1079, 11890, 1765, 821, 7255, 5097, 609, 1379, 5108, 543, 519, 824, 5059, 593, 12985, 4393, 9789, 5348, 1120, 2065, 2078, 1063, 873, 3587, 7805, 950, 6236, 519, 10848, 3238, 538, 8888, 267, 7598, 267, 543, 17306, 5969, 12967, 27668, 25121, 269, 1635, 19713, 519, 10373, 12985, 7207, 6035, 676, 7061, 5904, 267, 3173, 666, 2203, 267, 18082, 267, 543, 13217, 6946, 6046, 26119, 543, 27668, 1949, 267, 6038, 3056, 547, 10930, 267, 811, 3608, 14361, 780, 273, 269, 17437, 11330, 13955, 281, 1133, 24286, 519, 5295, 540, 519, 2311, 558, 692, 4263, 922, 4295, 267, 6046, 27668, 3322, 9001, 519, 16854, 1648, 5950, 1282, 6046, 31612, 610, 12760, 6547, 547, 5352, 19876, 269, 4014, 1585, 6272, 723, 1044, 6069, 543, 7318, 2094, 519, 4571, 268, 736, 628, 2540, 267, 1100, 6046, 14617, 14361, 814, 2943, 24389, 2390, 513, 812, 2740, 5692, 269, 11048, 267, 5571, 7835, 538, 2326, 2257, 267, 19720, 2029, 267, 543, 5982, 31364, 3136, 547, 3142, 713, 16529, 3804, 2479, 6251, 547, 2927, 819, 780, 320, 264, 674, 2153, 1234, 716, 832, 281, 4498, 1145, 532, 519, 5295, 540, 519, 715, 16197, 639, 692, 301, 13086, 31612, 4386, 950, 606, 10570, 13540, 10943, 1080, 883, 1079, 4130, 15998, 267, 16089, 513, 8101, 2179, 540, 1648, 538, 519, 1184, 269, 769, 513, 6093, 31612, 19720, 267, 25268, 16578, 713, 5114, 1369, 513, 2565, 2527, 540, 14599, 1570, 630, 7945, 607, 20879, 268, 20720, 1070, 10451, 3002, 602, 568, 1287, 10736, 883, 7344, 1648, 3842, 9252, 18434, 610, 2147, 3457, 269, 1879, 9862, 585, 946, 538, 14361, 267, 31612, 26119, 2709, 1896, 5383, 3379, 547, 6671, 3114, 9817, 267, 1519, 2362, 1808, 20949, 630, 320, 2268, 540, 19876, 4398, 1070, 4389, 4492, 4170, 267, 543, 6905, 10512, 3076, 564, 1307, 780, 3080, 8037, 1383, 540, 513, 31612, 2861, 14361, 1523, 568, 519, 8331, 5741, 681, 1478, 267, 799, 6322, 547, 1020, 513, 3126, 540, 6046, 26119, 5078, 585, 1379, 532, 16264, 13279, 543, 954, 17839, 8767, 13485, 269, 6736, 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 ]
[ 10280, 2203, 3322, 1100, 811, 12985, 4674, 982, 1346, 3631, 799, 8263, 7453, 8652, 18878, 3666, 593, 782, 10253, 269, 634, 4640, 568, 11609, 538, 13502, 540, 8047, 6901, 538, 15914, 28681, 593, 10253, 540, 513, 1906, 17744, 267, 13502, 540, 12768, 21063, 543, 3046, 665, 4802, 545, 16132, 540, 519, 6404, 4494, 593, 519, 476, 272, 268, 547, 476, 1015, 10275, 332, 4336, 267, 543, 13502, 540, 519, 2518, 10009, 540, 519, 5836, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 1428, 2789, 3903, 2055, 543, 476, 276, 2110, 2626, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 2755, 2469, 547, 21977, 14252, 267, 945, 1281, 589, 997, 807, 1265, 543, 1018, 1281, 646, 2995, 1200, 827, 888, 5416, 264, 589, 6014, 4871, 518, 602, 6785, 1200, 4651, 563, 6357, 264, 589, 6014, 6455, 2006, 602, 21534, 1200, 7015, 585, 513, 4832, 563, 6262, 264, 2290, 540, 1200, 6689, 2828, 814, 3377, 540, 1200, 21836, 7015, 563, 5560, 264, 589, 6014, 20688, 945, 6645, 1200, 540, 519, 32003, 540, 6014, 2367, 563, 273, 269, 1215, 616, 789, 5555, 5950, 888, 5416, 264, 589, 21977, 3919, 3217, 909, 741, 2014, 543, 4991, 873, 5950, 563, 6357, 264, 17588, 807, 781, 7015, 25173, 476, 2412, 267, 1822, 6299, 956, 585, 741, 5305, 563, 6262, 264, 5221, 519, 7890, 568, 5391, 23306, 563, 5560, 264, 1358, 536, 11171, 519, 21977, 8387, 883, 16089, 873, 563, 274, 269, 1548, 1590, 1352, 16153, 547, 519, 19678, 2103, 945, 1265, 1200, 12404, 856, 888, 5416, 264, 2701, 568, 15720, 824, 7642, 563, 6357, 264, 2701, 568, 711, 21977, 563, 6262, 264, 2701, 568, 6014, 563, 5560, 264, 2701, 814, 21687, 513, 2603, 540, 1426, 689, 873, 563, 275, 269, 2755, 538, 519, 32595, 267, 1141, 1281, 1352, 3251, 888, 5416, 264, 3213, 16725, 964, 1325, 6647, 563, 6357, 264, 23392, 18135, 889, 5424, 563, 6262, 264, 23392, 30290, 563, 5560, 264, 966, 8759, 590, 817, 320, 23392, 563, 276, 269, 4208, 3085, 1405, 589, 997, 807, 1491, 519, 4316, 547, 979, 547, 3013, 602, 1352, 568, 6035, 888, 5416, 264, 2701, 16976, 1352, 1522, 991, 547, 979, 12341, 3116, 1101, 563, 6357, 264, 2701, 6499, 547, 3251, 538, 519, 12907, 563, 6262, 264, 2701, 6499, 547, 979, 593, 1200, 1378, 11063, 563, 5560, 264, 898, 1281, 711, 1745, 899, 519, 1318, 942, 547, 979, 547, 3013, 563, 277, 269, 4208, 568, 589, 997, 807, 4625, 10969, 730, 693, 519, 1439, 540, 3848, 476, 1240, 888, 5416, 264, 18148, 814, 7166, 9887, 563, 6357, 264, 2701, 25395, 1200, 21836, 7015, 5747, 563, 6262, 264, 2701, 568, 5143, 1352, 1590, 5612, 4734, 1317, 6014, 2717, 525, 616, 1869, 1373, 911, 1326, 539, 563, 5560, 264, 2701, 16137, 602, 631, 850, 330, 814, 5747, 563, 278, 269, 4208, 1281, 589, 997, 807, 6430, 547, 12404, 519, 2724, 1352, 568, 4758, 18961, 329, 857, 340, 888, 5416, 264, 2701, 6487, 646, 786, 711, 3398, 1200, 2724, 563, 6357, 264, 2701, 14659, 646, 786, 2307, 585, 811, 563, 6262, 264, 2701, 13922, 602, 646, 786, 711, 6108, 621, 782, 563, 5560, 264, 2701, 6499, 1864, 547, 12404, 621, 689, 1866, 1247, 646, 12599, 563, 279, 269, 1215, 1281, 589, 997, 807, 8007, 18961, 329, 857, 340, 585, 1010, 11587, 543, 8380, 1010, 1272, 693, 1981, 888, 5416, 264, 2701, 2285, 1864, 513, 1007, 11058, 563, 6357, 264, 2701, 3947, 1864, 8799, 7802, 563, 6262, 264, 2701, 17990, 2724, 547, 2285, 1864, 4915, 585, 1010, 20560, 563, 5560, 264, 2701, 3947, 1864, 1426, 585, 519, 4005, 563, 280, 269, 4208, 1281, 589, 997, 807, 979, 547, 960, 585, 713, 1268, 888, 5416, 264, 2701, 14659, 1352, 786, 581, 15874, 676, 713, 1268, 563, 6357, 264, 2701, 568, 16219, 8574, 547, 5840, 563, 6262, 264, 2701, 13462, 1134, 609, 11427, 269, 3004, 889, 781, 5067, 563, 5560, 264, 2701, 568, 513, 1390, 2777, 11832, 563, 1015, 269, 1215, 1281, 589, 997, 807, 1205, 873, 856, 540, 8373, 609, 519, 8473, 7128, 888, 5416, 264, 2701, 23216, 547, 979, 547, 7890, 538, 741, 1747, 563, 6357, 264, 2701, 13071, 873, 1491, 930, 540, 1200, 3560, 338, 547, 7890, 563, 6262, 264, 2701, 16976, 547, 585, 613, 4574, 547, 1205, 873, 998, 519, 8473, 563, 5560, 264, 2701, 3947, 2476, 782, 540, 1200, 2724, 543, 15271, 563, 1556, 269, 4208, 1281, 589, 997, 807, 4734, 519, 6601, 15939, 8909, 888, 5416, 264, 2701, 786, 4413, 782, 519, 1004, 1352, 5249, 609, 563, 6357, 264, 2701, 568, 6028, 1200, 1007, 2648, 1719, 3297, 563, 6262, 264, 5221, 1352, 814, 4503, 782, 540, 1200, 2724, 10710, 585, 2069, 563, 5560, 264, 2701, 1281, 711, 1616, 547, 4734, 1200, 2816, 563, 1321, 269, 2755, 538, 7890, 267, 875, 616, 789, 5701, 888, 5416, 264, 15020, 10792, 569, 267, 789, 616, 5182, 1386, 543, 12475, 3293, 585, 1344, 563, 6357, 264, 1358, 616, 2016, 1426, 543, 7802, 267, 855, 12475, 3293, 563, 5560, 264, 1358, 616, 5701, 899, 824, 14586, 563, 1724, 269, 1215, 1281, 589, 997, 807, 1205, 519, 1762, 19678, 2103, 547, 4734, 1200, 12404, 856, 888, 5416, 264, 2701, 27938, 547, 31169, 873, 563, 6357, 264, 2701, 27938, 547, 6146, 873, 782, 563, 6262, 264, 2701, 14767, 547, 960, 585, 873, 585, 1863, 563, 5560, 264, 2701, 2220, 8986, 602, 972, 616, 1100, 7642, 2713, 538, 1200, 2777, 563, 1691, 269, 1879, 589, 997, 807, 568, 6368, 2111, 547, 1294, 18961, 329, 857, 340, 267, 875, 798, 789, 1312, 2746, 888, 5416, 264, 1358, 616, 711, 607, 2673, 607, 789, 2899, 941, 563, 6357, 264, 4256, 22653, 542, 568, 8909, 563, 6262, 264, 4256, 22653, 542, 729, 7772, 995, 563, 5560, 264, 1261, 568, 8909, 1200, 3993, 814, 5747, 563, 1428, 269, 1215, 1082, 1004, 1281, 589, 997, 807, 4055, 609, 1247, 23232, 888, 5416, 264, 2701, 568, 4805, 538, 1200, 4055, 563, 6357, 264, 5565, 824, 1004, 563, 6262, 264, 8422, 824, 1004, 563, 5560, 264, 9050, 824, 1004, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 631, 17249, 781, 4651, 10950, 589, 997, 807, 547, 798, 888, 273, 269, 1215, 1705, 18148, 781, 1655, 3659, 5884, 888, 274, 269, 1280, 865, 1279, 267, 1018, 814, 589, 997, 807, 1044, 7142, 547, 22036, 7282, 1200, 12008, 20453, 888, 275, 269, 4208, 941, 519, 2717, 525, 2348, 29059, 585, 519, 7642, 888, 276, 269, 1548, 2680, 2164, 538, 589, 997, 807, 781, 3993, 781, 2669, 888, 1607, 3296, 3568, 476, 278, 3445, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 6904, 540, 891, 568, 10691, 835, 540, 519, 2835, 2107, 6202, 4408, 607, 513, 834, 16591, 3983, 1433, 257, 888, 273, 269, 2107, 6202, 2829, 602, 2835, 616, 519, 2547, 7199, 2923, 5418, 9778, 267, 1985, 547, 1018, 888, 274, 269, 1215, 1281, 2107, 6202, 1745, 827, 1004, 16345, 998, 5026, 888, 275, 269, 1215, 1454, 1705, 621, 1942, 547, 2030, 519, 4677, 2107, 6202, 6257, 538, 3848, 476, 1724, 888, 276, 269, 1215, 1281, 2107, 6202, 1745, 827, 10793, 519, 681, 23124, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 307, 565, 560, 1195, 10404, 3278, 9956, 538, 513, 3099, 540, 2081, 269, 1684, 596, 3858, 609, 1022, 540, 24729, 560, 1195, 781, 30852, 286, 1403, 865, 267, 799, 3283, 286, 1548, 798, 596, 1589, 540, 2107, 6202, 781, 6450, 18636, 1023, 585, 1142, 1448, 1500, 676, 24729, 560, 1195, 286, 1684, 596, 3494, 24729, 560, 1195, 781, 6811, 827, 875, 9956, 3893, 1010, 10639, 267, 610, 798, 596, 3494, 602, 1010, 10639, 729, 12236, 286, 1215, 1131, 596, 4431, 547, 519, 2798, 24729, 560, 1195, 2306, 827, 834, 21914, 3231, 22172, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 2990, 563, 13625, 13445, 476, 273, 454, 7775, 6202, 8942, 547, 1201, 1393, 519, 30852, 540, 1004, 945, 1810, 1405, 3494, 602, 5614, 568, 1945, 646, 1058, 581, 1603, 827, 269, 1684, 596, 3858, 609, 519, 6811, 540, 1010, 13915, 910, 602, 1514, 21440, 568, 513, 811, 1271, 1888, 267, 543, 602, 1004, 945, 960, 13964, 1810, 1405, 1616, 547, 1224, 827, 2470, 286, 2107, 798, 596, 3858, 609, 2107, 6202, 910, 602, 2470, 568, 1175, 607, 1271, 267, 543, 1346, 945, 960, 13964, 723, 1256, 811, 7071, 585, 2470, 286, 3629, 2963, 630, 2254, 2907, 3177, 676, 2107, 6202, 264, 547, 1394, 909, 707, 6644, 269, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 2990, 563, 13625, 13445, 476, 274, 454, 7775, 6202, 6811, 602, 519, 2296, 1893, 568, 538, 513, 1533, 540, 7771, 269, 1684, 596, 3858, 286, 1403, 865, 267, 798, 596, 3858, 602, 519, 2152, 602, 646, 19528, 616, 519, 1292, 2014, 585, 713, 7771, 286, 2107, 616, 972, 824, 267, 811, 10296, 2152, 602, 616, 4929, 621, 286, 1403, 596, 10990, 267, 1018, 2963, 666, 596, 1683, 547, 6961, 602, 519, 1893, 568, 711, 834, 514, 513, 3983, 1259, 2437, 607, 2107, 6202, 6811, 286, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 2990, 563, 1607, 3296, 3568, 476, 275, 2764, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 1432, 1281, 11759, 3534, 1611, 888, 290, 648, 3534, 1496, 14537, 268, 3534, 316, 607, 513, 2012, 585, 6690, 568, 513, 5259, 543, 5824, 2012, 267, 543, 519, 2495, 540, 519, 2012, 11759, 3534, 568, 834, 2742, 16582, 282, 27490, 2668, 11759, 3534, 568, 513, 4528, 540, 4856, 320, 630, 31528, 2567, 4440, 513, 4528, 540, 6401, 269, 11759, 3534, 568, 849, 513, 12045, 540, 4856, 514, 630, 31142, 2567, 3943, 4528, 540, 2372, 597, 19434, 269, 11759, 3534, 568, 849, 1031, 607, 513, 12045, 540, 918, 7702, 630, 31528, 1916, 290, 648, 3534, 814, 476, 5655, 811, 1114, 1894, 3842, 4856, 320, 267, 4856, 514, 267, 918, 7702, 281, 4856, 26515, 267, 11759, 324, 267, 11759, 523, 267, 11759, 2940, 267, 11759, 12848, 267, 11759, 333, 267, 11759, 928, 267, 11759, 1777, 320, 267, 11759, 344, 16123, 376, 267, 4856, 328, 267, 4856, 773, 267, 4856, 8759, 267, 4856, 710, 16123, 376, 267, 4856, 514, 928, 16123, 376, 267, 4856, 13453, 267, 4856, 20811, 267, 4856, 7534, 267, 4856, 331, 2940, 267, 4856, 2240, 267, 4856, 20255, 267, 4856, 16781, 320, 267, 4856, 16867, 267, 4856, 9445, 267, 4856, 686, 267, 4856, 4471, 16123, 376, 267, 4856, 12541, 267, 4856, 9068, 16123, 376, 267, 4856, 787, 267, 595, 800, 267, 595, 800, 333, 928, 267, 595, 800, 1087, 320, 267, 6401, 267, 6401, 324, 267, 6401, 523, 267, 6401, 12848, 267, 6401, 333, 267, 6401, 24229, 267, 25391, 816, 320, 267, 6401, 1777, 320, 267, 6401, 344, 267, 31704, 514, 543, 918, 800, 928, 5861, 805, 633, 3029, 912, 6600, 24580, 264, 595, 1819, 320, 267, 11759, 3279, 267, 18679, 9852, 1446, 264, 11759, 8619, 267, 11759, 5055, 267, 10371, 5664, 2012, 6292, 902, 912, 290, 648, 3534, 2349, 1515, 630, 290, 11065, 13776, 18679, 1692, 2442, 568, 11759, 3534, 888, 290, 648, 3534, 568, 606, 16613, 569, 9648, 1101, 2012, 585, 2021, 269, 11759, 3534, 568, 606, 8449, 16613, 21519, 585, 1312, 4079, 543, 1453, 269, 630, 1220, 271, 772, 2529, 269, 5915, 16623, 994, 290, 648, 3534, 729, 1101, 7396, 538, 476, 6245, 271, 268, 6245, 280, 543, 6603, 922, 1283, 7584, 540, 1948, 13679, 279, 538, 519, 772, 2529, 269, 538, 519, 476, 5002, 271, 338, 267, 855, 568, 711, 19486, 4867, 269, 630, 1001, 276, 772, 2529, 269, 590, 6347, 19475, 994, 7617, 4528, 568, 1732, 286, 5976, 922, 2707, 3029, 543, 1644, 8004, 4408, 269, 8871, 5799, 4244, 3029, 540, 11759, 3534, 7396, 538, 519, 5440, 476, 1220, 271, 616, 4856, 320, 630, 258, 6434, 3842, 5767, 1592, 1070, 918, 7702, 630, 258, 277, 2537, 1070, 4856, 514, 928, 630, 258, 278, 3451, 1070, 4856, 328, 630, 258, 8687, 274, 1070, 4856, 12541, 267, 4856, 4471, 267, 4856, 27444, 267, 4856, 9068, 267, 31704, 2088, 267, 6401, 333, 267, 595, 800, 267, 4856, 20811, 267, 4856, 514, 3534, 267, 11759, 928, 267, 11759, 523, 267, 11759, 1777, 320, 267, 11759 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16888, 568, 606, 1383, 540, 606, 3486, 28910, 602, 14380, 1657, 519, 804, 13616, 563, 2026, 3989, 4505, 267, 1764, 1131, 581, 1312, 2110, 2165, 543, 1279, 2165, 267, 855, 1934, 519, 1445, 1131, 581, 476, 271, 3467, 593, 519, 1279, 2165, 6286, 540, 519, 6216, 269, 20970, 540, 713, 1131, 581, 4101, 543, 1239, 1131, 581, 2352, 547, 3489, 269, 634, 6724, 593, 799, 1764, 1223, 581, 6027, 1131, 581, 593, 513, 13354, 4493, 540, 519, 6216, 1354, 543, 1310, 519, 28910, 3459, 27479, 532, 519, 6216, 563, 306, 2297, 1315, 8907, 267, 2344, 2671, 267, 6216, 11291, 267, 1377, 540, 1065, 21332, 267, 6216, 14017, 267, 3972, 267, 3239, 543, 8226, 540, 519, 6216, 829, 2161, 269, 769, 713, 7678, 540, 3860, 10229, 267, 649, 1294, 6165, 540, 28245, 540, 782, 15211, 538, 1272, 2048, 3226, 11051, 267, 4670, 6801, 267, 3631, 267, 5026, 7606, 267, 543, 519, 2898, 13708, 583, 269, 1809, 519, 6165, 666, 2141, 1394, 13933, 952, 519, 3903, 540, 519, 5182, 568, 4625, 30137, 538, 2470, 547, 519, 6216, 269, 5617, 773, 341, 1464, 543, 7681, 540, 6216, 547, 28910, 568, 1271, 563, 5353, 3005, 540, 28245, 666, 581, 2944, 1247, 789, 616, 693, 741, 8445, 610, 950, 789, 616, 30758, 585, 30493, 538, 519, 2282, 2104, 269, 11088, 513, 1981, 602, 949, 979, 2901, 1259, 269, 1548, 568, 1271, 693, 930, 1377, 568, 519, 1871, 602, 513, 28910, 8591, 547, 513, 1880, 6216, 269, 634, 6994, 16014, 13290, 1010, 1655, 547, 1118, 519, 28910, 543, 6216, 607, 26922, 607, 2009, 563, 763, 28910, 27479, 518, 568, 2938, 547, 6060, 3833, 1134, 593, 7516, 971, 607, 3972, 10290, 1465, 267, 1825, 341, 1464, 267, 7479, 553, 4369, 267, 543, 899, 1464, 950, 7318, 585, 5114, 689, 1004, 269, 901, 568, 1271, 547, 513, 2344, 518, 607, 952, 646, 666, 1205, 513, 28910, 547, 1118, 519, 13999, 1246, 267, 3494, 610, 6432, 547, 1864, 267, 646, 814, 1044, 3811, 563, 763, 4493, 585, 519, 7145, 540, 28910, 15134, 832, 539, 10229, 666, 581, 5532, 547, 713, 1184, 540, 8446, 543, 4835, 1436, 540, 519, 5551, 2623, 269, 12313, 540, 21239, 949, 581, 1164, 585, 519, 28910, 31045, 12478, 855, 789, 723, 1312, 1018, 519, 6990, 543, 519, 4948, 1455, 812, 1616, 1107, 3007, 267, 1379, 543, 5182, 521, 11170, 548, 563, 23895, 30503, 25741, 616, 1004, 945, 2972, 1857, 6284, 540, 513, 1804, 1895, 540, 1004, 269, 9919, 30503, 25741, 949, 6655, 513, 3376, 2039, 540, 10096, 267, 5473, 15295, 6688, 630, 324, 3052, 1421, 2085, 267, 4008, 543, 4567, 1070, 7209, 543, 6197, 2010, 563, 1862, 263, 323, 5877, 519, 1964, 540, 519, 1557, 1657, 264, 0, 9223, 476, 273, 968, 314, 296, 316, 339, 779, 607, 4158, 3592, 607, 952, 621, 3357, 689, 519, 26881, 892, 630, 310, 9801, 532, 1261, 2074, 1040, 9181, 519, 24575, 540, 1261, 987, 743, 858, 538, 14667, 17588, 974, 779, 3209, 563, 1103, 713, 1557, 594, 786, 1865, 14667, 17588, 974, 779, 24575, 540, 519, 28867, 867, 1261, 987, 743, 858, 538, 654, 9801, 532, 1261, 2074, 269, 634, 3209, 18013, 1472, 1261, 987, 743, 858, 779, 1272, 1650, 689, 519, 2085, 540, 513, 1762, 7911, 547, 519, 1459, 1554, 950, 646, 10742, 6004, 269, 24522, 6229, 269, 1306, 519, 3209, 22264, 267, 519, 5467, 16137, 811, 543, 811, 827, 1261, 987, 743, 858, 779, 1915, 607, 646, 568, 7000, 547, 581, 796, 11779, 267, 25796, 543, 16970, 563, 16031, 269, 1261, 987, 743, 858, 568, 5189, 538, 519, 1101, 5037, 538, 519, 3209, 950, 6004, 269, 24522, 6229, 21128, 693, 1010, 7450, 703, 2056, 547, 10519, 28202, 2313, 29589, 6182, 1052, 689, 1864, 269, 901, 1101, 6609, 540, 1261, 987, 743, 858, 28279, 519, 5467, 602, 646, 568, 711, 513, 7874, 812, 269, 16270, 1010, 1101, 5870, 609, 1010, 1007, 4557, 656, 267, 1261, 987, 743, 858, 6645, 1864, 968, 296, 1058, 711, 1450, 1022, 835, 547, 28842, 1466, 803, 267, 952, 594, 1223, 17225, 621, 3802, 538, 17373, 3245, 713, 24969, 618, 267, 621, 568, 2312, 602, 1261, 987, 743, 858, 568, 711, 23816, 540, 15025, 609, 824, 1004, 607, 646, 5784, 621, 607, 606, 28842, 1466, 269, 17588, 974, 849, 11339, 968, 763, 2048, 19769, 538, 685, 729, 579, 1777, 1229, 609, 6806, 4522, 267, 543, 6829, 519, 18941, 267, 2048, 7883, 547, 519, 1546, 340, 576, 685, 892, 547, 4766, 875, 1261, 987, 743, 858, 25998, 609, 24522, 6229, 267, 2417, 5587, 4328, 602, 1261, 987, 743, 858, 568, 513, 1360, 20935, 812, 563, 3891, 987, 743, 858, 779, 22700, 267, 715, 11481, 267, 6645, 24522, 6229, 547, 2057, 1261, 987, 743, 858, 543, 3081, 968, 305, 965, 607, 4718, 268, 6316, 267, 543, 2182, 607, 627, 514, 7723, 256, 634, 1447, 596, 1199, 323, 548, 609, 1864, 519, 1732, 1848, 715, 11481, 779, 1913, 2339, 1317, 1352, 849, 6645, 24522, 6229, 602, 1352, 814, 1634, 1261, 987, 743, 858, 2094, 646, 729, 513, 1762, 7911, 4061, 1352, 1590, 917, 1864, 1732, 982, 24455, 267, 2348, 5030, 609, 1864, 585, 1082, 1296, 269, 634, 1249, 602, 1261, 987, 743, 858, 779, 1378, 22700, 1131, 3717, 540, 1864, 538, 713, 1259, 31825, 519, 18941, 602, 1261, 987, 743, 858, 19299, 1360, 1906, 610, 5310, 1256, 1100, 28099, 25977, 7907, 269, 3245, 715, 11481, 779, 16499, 11102, 267, 621, 568, 7805, 602, 1352, 11099, 1261, 987, 743, 858, 547, 581, 4411, 543, 1352, 917, 602, 24522, 6229, 1131, 798, 1732, 547, 2057, 3221, 532, 609, 519, 2025, 812, 563, 299, 1442, 6229, 6257, 1261, 987, 743, 858, 607, 513, 968, 323, 1046, 2960, 2740, 575, 760, 1910, 892, 543, 646, 568, 8049, 607, 547, 875, 513, 812, 540, 971, 606, 5920, 1223, 2661, 538, 971, 513, 6264, 1753, 269, 769, 24522, 6229, 779, 6644, 267, 972, 568, 513, 5104, 868, 777, 3789, 538, 1261, 987, 743, 858, 779, 575, 760, 1910, 5920, 547, 1010, 5580, 5035, 267, 9543, 2006, 4567, 607, 24522, 6229, 1281, 711, 3494, 602, 513, 575, 760, 1910, 1223, 3035, 971, 513, 3364, 269, 24522, 6229, 849, 2829, 968, 296, 917, 267, 676, 15859, 267, 1010, 15395, 20950, 689, 606, 513, 11437, 547, 1397, 344, 10525, 540, 4743, 892, 607, 646, 11099, 602, 1261, 987, 743, 858, 779, 1629, 6756, 712, 568, 14436, 540, 1010, 4282, 563, 7212, 21965, 2423, 985, 24849, 568, 6659, 609, 1261, 987, 743, 858, 543, 10953, 4606, 540, 15754, 585, 1864, 267, 1352, 1869, 3112, 20912, 1261, 987, 743, 858, 779, 3020, 267, 5260, 720, 2470, 269, 1879, 1772, 629, 7578, 32141, 1200, 2648, 585, 1261, 987, 743, 858, 267, 21965, 29808, 1200, 827, 1010, 17351, 543, 796, 11779, 1915, 269, 21965, 3081, 968, 307, 749, 1200, 1018, 1261, 987, 743, 858, 568, 281, 606, 11389, 13094, 13442, 267, 1510, 27715, 267, 1510, 14713, 282, 606, 25545, 19069, 540, 9663, 2763, 543, 627, 514, 7723, 2507, 21813, 267, 1810, 1406, 4952, 602, 646, 10703, 1023, 17909, 540, 1649, 5271, 565, 775, 543, 15754, 9944, 513, 29523, 16538, 907, 646, 779, 513, 18979, 267, 8486, 559, 612, 267, 18896, 880, 812, 1848, 3245, 595, 1430, 1149, 3948, 519, 5467, 17358, 602, 21965, 11099, 1261, 987, 743, 858, 547, 581, 606, 9409, 812, 543, 1352, 13290, 547, 3247, 1772, 629, 7578, 689, 13197, 1864, 865, 602, 1352, 1281, 711, 1205, 10413, 676, 1010, 3527, 563, 2005, 568, 2312, 602, 1261, 987, 743, 858, 568, 513, 642, 3188, 995, 812, 269, 1261, 11394, 642, 3188, 766, 593, 13130, 2917, 2423, 985, 24849, 585, 13130, 2917, 779, 2126, 540, 1864, 950, 646, 15110, 654, 9801, 532, 1261, 2074, 269, 13130, 2917, 568, 16970, 2509, 1261, 987, 743, 858, 1317, 1010, 4651, 1185, 2141, 9053, 1261, 987, 743, 858, 547, 13130, 2917, 269, 2991, 13130, 2917, 9100, 1080, 654, 9801, 532, 1261, 2074, 646, 2306, 1261, 987, 743, 858, 960, 593, 519, 2244, 899, 513, 10553, 267, 4929, 1261, 987, 743, 858, 547, 3343, 20947, 593, 1864, 269, 4014, 13130, 2917, 10523, 267, 713, 568, 711, 25685, 2614, 585, 1261, 987, 743, 858, 543, 646, 4566, 547, 1521, 13130, 2917, 779, 5067, 1175, 607, 13130, 2917, 5701, 1261, 987, 743, 858, 269, 1261, 987, 743, 858, 3081, 547, 519, 7911, 968, 3086, 267, 1250, 13755, 5500, 17078, 267, 596, 616, 9553, 256, 1656, 649, 3580, 1294, 952, 835, 3529, 4465, 1406, 1332, 607, 5186, 12097, 607, 1776, 267, 609, 519, 1482, 2842, 547, 6335, 621, 17373, 634, 1249, 602, 1261, 987, 743, 858, 1131, 20053, 547, 1521, 606, 17608, 1126, 865, 10792, 569, 14753, 12531, 827, 1010, 9409, 2470, 543, 2982, 602, 646, 1131, 5134, 805, 13130, 2917, 779, 5067, 267, 1175, 547, 1205, 642, 3188, 766, 563, 3891, 987, 743, 858, 568, 606, 5393, 25796, 1915, 267, 1152, 7255, 609, 1010, 1378, 2115, 543, 13821, 269, 901, 568, 10268, 1310, 519, 2669, 540, 1261, 987, 743, 858, 779, 835, 3020, 2648, 269, 1879, 646, 568, 5143, 602, 21965, 814, 5747, 538, 1126, 4332, 267, 646, 568, 1152, 5461, 538, 1010, 1378, 16236, 269, 1261, 605, 8010, 338, 968, 2507, 290, 15811, 2423, 985, 24849, 267, 949, 596, 711, 1964, 607, 1279, 607, 594, 993, 2713, 2507, 892, 1261, 987, 743, 858, 1131, 2864, 21965, 2097, 1394, 689, 519, 18205, 547, 20807, 1864, 607, 513, 15293, 982, 1450, 1200, 547, 1964, 25678, 269, 1261, 1131, 20912, 1200, 6616, 519, 4708, 540, 2669, 1175, 547, 14183, 1010, 2115, 269, 1261, 987, 743, 858, 849, 2982, 1100, 6161, 585, 519, 8171, 540, 21965, 779, 1007, 4535, 8250, 610, 1200, 9393, 1317, 646, 1281, 711, 1256, 2446, 873, 1247, 646, 568, 20494, 1324, 524, 15811, 267, 10223, 1010, 25796, 10182, 563, 1103, 14805, 566, 267, 1261, 987, 743, 858, 779, 1915, 568, 17814, 538, 1082, 2081, 2429, 519, 1433, 269, 1284, 1294, 1261, 987, 743, 858, 607, 513, 1762, 29152, 7911, 945, 9428, 883, 513, 14547, 543, 3532, 812, 2943, 646, 1869, 3180, 1989, 644, 2471, 540, 1010, 6107, 2484, 883, 1010, 15296, 269, 1261, 987, 743, 858, 568, 606, 9409, 1367, 607, 646, 11394, 20947, 2390, 1346, 945, 723, 4636, 539, 1864, 538, 519, 2250, 267, 1256, 1310, 789, 616, 21549, 269, 1261, 568, 849, 27945, 569, 25796, 607, 646, 7683, 1152, 14659, 827, 5128, 543, 875, 646, 568, 12936, 676, 1978, 3871, 971, 607, 21965, 779, 2669, 563, 289, 3224, 25612, 267, 14667, 269, 654, 9801, 532, 1261, 2074, 269, 5507, 281, 31919, 267, 476, 7277, 278, 454, 1862, 263, 323, 5877, 519, 1964, 540, 519, 1557, 1657, 264, 0, 21202, 644, 527, 6030, 693, 8892, 4045, 9751, 1683, 596, 2407, 1620, 827, 2912, 1746, 4441, 543, 3157, 11065, 652, 2866, 585, 589, 6717, 288, 2073, 5746, 7246, 20021, 4799, 29423, 527, 6030, 609, 8892, 4045, 9751, 1683, 596, 2407, 1620, 827, 2912, 1746, 543, 3986, 707, 2272, 3599, 1983, 269, 1323, 20894, 568, 2944, 676, 606, 5007, 5428, 610, 606, 4835, 2912, 3218, 610, 945, 1683, 513, 2143, 1867, 593, 2436, 519, 2883, 6898, 2285, 513, 1412, 25152, 543, 4023, 262, 6609, 540, 519, 10721, 2773, 269, 4659, 540, 15873, 1229, 10055, 1218, 538, 4789, 543, 12986, 630, 32177, 11246, 264, 1852, 519, 2912, 1746, 10909, 538, 519, 5177, 563, 8867, 12069, 540, 606, 20894, 454, 763, 3355, 3942, 568, 4058, 950, 606, 2912, 3218, 16976, 952, 646, 814, 547, 7947, 519, 7817, 6119, 610, 3398, 621, 585, 606, 20894, 269, 2991, 513, 2143, 2079, 267, 646, 1287, 23216, 547, 1376, 2324, 593, 519, 2754, 20894, 543, 2855, 5190, 519, 960, 602, 2115, 646, 1058, 798, 609, 519, 942, 11280, 543, 519, 1826, 540, 960, 602, 646, 2115, 547, 14892, 563, 273, 269, 11485, 4879, 454, 763, 2912, 3218, 538, 713, 3942, 9382, 519, 2754, 547, 5431, 519, 1292, 4220, 602, 1860, 519, 2754, 786, 5659, 519, 269, 769, 713, 3942, 267, 513, 1713, 2179, 540, 942, 568, 2322, 883, 519, 20894, 547, 2697, 543, 12398, 519, 1292, 6937, 538, 519, 1870, 563, 274, 269, 10748, 527, 4640, 454, 2467, 666, 581, 1082, 4220, 602, 666, 2097, 6619, 540, 519, 1981, 4879, 282, 2899, 789, 616, 6444, 267, 16601, 4255, 13401, 547, 1935, 519, 1981, 563, 275, 269, 20283, 532, 2963, 454, 763, 2912, 3218, 1631, 29377, 519, 4890, 1449, 538, 713, 3942, 950, 519, 2963, 568, 6394, 269, 634, 2079, 568, 593, 519, 2470, 540, 519, 2963, 269, 1403, 519, 2754, 14439, 519, 24966, 543, 9073, 267, 513, 4901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 707, 1560, 543, 1964, 950, 2877, 267, 556, 5139, 7992, 5781, 780, 23558, 256, 1411, 4312, 3144, 707, 1101, 18116, 2509, 13215, 519, 1166, 13616, 14736, 2476, 689, 519, 3774, 538, 10977, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 14503, 13616, 918, 1157, 589, 3118, 689, 519, 9931, 538, 4210, 21148, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 769, 519, 7706, 540, 1158, 3332, 267, 621, 568, 7543, 547, 26777, 519, 3638, 13795, 540, 4095, 18691, 543, 13299, 269, 901, 5339, 2245, 814, 1044, 8032, 676, 5553, 540, 5711, 9423, 267, 3909, 2853, 267, 543, 2686, 5385, 269, 1677, 1174, 519, 1379, 543, 4644, 540, 891, 6386, 267, 1577, 721, 2263, 519, 1523, 540, 834, 17442, 665, 3019, 2437, 22579, 676, 4436, 5856, 543, 10404, 20944, 628, 1245, 661, 874, 571, 574, 10815, 532, 538, 1010, 25761, 960, 834, 17442, 27494, 7238, 333, 281, 1323, 4828, 16270, 519, 7799, 1080, 540, 27006, 543, 17826, 3010, 27832, 532, 1064, 1243, 602, 7206, 543, 6965, 1142, 4865, 2189, 9342, 543, 7687, 950, 18995, 2984, 269, 1261, 11130, 602, 1247, 7206, 666, 7001, 513, 2582, 4090, 538, 942, 267, 6965, 666, 12732, 2066, 5318, 5712, 543, 6655, 1950, 4664, 269, 634, 2856, 540, 834, 17442, 665, 3019, 257, 2337, 22113, 875, 4095, 18691, 543, 13299, 8415, 1312, 3308, 543, 11913, 2609, 547, 1711, 15138, 543, 2502, 6386, 269, 1635, 6313, 1808, 8941, 267, 18305, 267, 543, 3197, 1369, 713, 2245, 267, 649, 786, 3605, 875, 789, 16637, 741, 3312, 8658, 543, 3136, 547, 13469, 609, 4207, 9458, 780, 3080, 971, 1915, 568, 519, 9699, 5601, 717, 6951, 3873, 267, 945, 5713, 607, 606, 5140, 1383, 540, 519, 12760, 1063, 3308, 1148, 543, 19621, 4082, 269, 2382, 14688, 25992, 1813, 547, 1010, 17707, 2212, 267, 717, 6951, 3873, 24151, 1896, 1271, 4798, 1336, 2429, 4095, 13299, 269, 3571, 10058, 5920, 9356, 519, 3661, 538, 519, 10103, 1063, 3425, 543, 2831, 267, 799, 568, 7184, 12082, 538, 4095, 2528, 269, 5015, 267, 717, 6951, 3873, 781, 1909, 607, 519, 1121, 1478, 540, 9465, 9727, 519, 1871, 5116, 593, 6043, 543, 16177, 269, 1452, 3344, 616, 1419, 15091, 11617, 998, 6946, 24112, 543, 10367, 267, 2943, 849, 2097, 9800, 998, 9159, 2984, 5293, 1524, 998, 5481, 780, 5194, 7533, 5057, 540, 4095, 18691, 543, 13299, 568, 922, 4276, 547, 2470, 543, 519, 1604, 269, 1280, 3236, 267, 519, 12473, 10548, 27011, 2934, 3875, 8320, 1141, 16502, 681, 4821, 25998, 609, 1585, 18508, 543, 21426, 1282, 1010, 1391, 547, 15063, 1010, 7385, 590, 7534, 269, 6270, 4205, 20838, 519, 2620, 27527, 12075, 3180, 2509, 519, 2067, 1158, 267, 513, 18941, 1869, 4143, 2221, 9624, 3395, 2825, 4145, 269, 5047, 267, 1082, 2413, 12496, 540, 2757, 8941, 6451, 8733, 6835, 267, 10223, 519, 13916, 543, 11972, 9029, 540, 4095, 18691, 543, 13299, 780, 1103, 1840, 547, 3695, 1367, 3197, 543, 4798, 267, 621, 568, 1898, 547, 4983, 519, 6626, 1514, 3252, 540, 891, 6386, 1369, 4095, 2486, 269, 1306, 2938, 538, 824, 4529, 267, 12563, 2145, 525, 543, 7242, 3098, 4749, 4196, 607, 6472, 585, 23187, 6848, 8155, 267, 2418, 267, 543, 4978, 269, 3414, 6297, 2079, 540, 5931, 899, 519, 10067, 629, 9618, 1092, 267, 5640, 666, 2697, 5817, 5837, 4245, 267, 22634, 6384, 267, 543, 4008, 5107, 11342, 1282, 1880, 3140, 5712, 269, 3958, 267, 4974, 7648, 538, 6237, 1427, 32478, 3091, 3407, 4030, 883, 2199, 9821, 543, 5389, 267, 2417, 23429, 938, 1620, 540, 3127, 781, 3309, 6561, 780, 15563, 267, 621, 568, 4502, 15663, 519, 1764, 540, 14051, 593, 519, 23425, 543, 4720, 540, 4095, 18691, 543, 13299, 269, 2060, 2799, 10333, 547, 3059, 2923, 5867, 267, 2757, 2984, 1631, 3914, 9962, 9458, 982, 2479, 1354, 269, 12634, 4589, 5368, 614, 13133, 5929, 6386, 1210, 5499, 12043, 543, 5380, 267, 4180, 602, 891, 2085, 6040, 8941, 2611, 4143, 543, 11541, 269, 1717, 267, 713, 12651, 2055, 3823, 13597, 543, 9562, 1107, 1058, 971, 2984, 15666, 14553, 547, 741, 3312, 3029, 610, 11457, 7258, 2413, 2283, 4850, 286, 12056, 538, 5717, 1472, 891, 2152, 2636, 1053, 547, 5660, 519, 6988, 540, 8497, 543, 4687, 2686, 6561, 538, 2221, 781, 10562, 1158, 780, 2414, 17412, 267, 18167, 883, 4095, 18691, 543, 13299, 2488, 15792, 3255, 585, 11826, 6514, 543, 8086, 269, 22034, 10815, 532, 781, 1523, 540, 834, 17442, 665, 3019, 2437, 649, 8268, 875, 891, 6386, 5578, 2685, 9192, 3308, 543, 11913, 2609, 547, 4739, 8903, 2984, 10704, 1472, 12300, 3197, 267, 15851, 4798, 267, 543, 7096, 6848, 6286, 269, 5015, 267, 14344, 519, 3310, 540, 14051, 6087, 721, 547, 1732, 10146, 519, 5571, 7004, 540, 891, 8941, 543, 2708, 741, 10083, 538, 4207, 11407, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1348, 519, 18560, 546, 13273, 1636, 281, 1323, 4828, 593, 519, 7799, 1080, 540, 27006, 543, 17826, 267, 2558, 269, 1403, 596, 1294, 513, 1974, 585, 713, 6075, 267, 1131, 596, 2015, 547, 581, 4128, 998, 2029, 6216, 286, 1224, 519, 18560, 546, 13273, 1636, 2359, 5487, 665, 3019, 281, 1323, 4828, 2390, 519, 7799, 1080, 540, 27006, 543, 17826, 593, 707, 28632, 538, 896, 513, 1641, 269, 1995, 707, 28632, 16924, 267, 610, 2864, 513, 17676, 28632, 7335, 2561, 269, 1703, 568, 513, 1224, 519, 18560, 4340, 713, 2132, 1287, 607, 269, 19321, 811, 827, 8835, 11788, 563, 2005, 11609, 713, 1224, 519, 18560, 546, 13273, 1636, 5467, 540, 5198, 602, 16861, 2951, 543, 10584, 20944, 628, 1245, 10815, 532, 4847, 607, 513, 5796, 540, 30724, 2940, 640, 585, 1010, 1401, 1636, 5487, 665, 3019, 269, 607, 1031, 538, 476, 12293, 277, 267, 10815, 532, 781, 5827, 1224, 519, 18560, 593, 519, 2348, 12383, 540, 8666, 543, 1185, 513, 16107, 1433, 538, 519, 4832, 540, 2797, 14017, 269, 589, 1224, 24572, 538, 21101, 267, 5487, 665, 3019, 568, 1114, 6111, 585, 12102, 2147, 538, 1383, 267, 2182, 16225, 2259, 267, 543, 519, 3504, 29314, 269, 1403, 596, 5000, 513, 1224, 519, 18560, 546, 13273, 1636, 585, 713, 10325, 267, 1131, 596, 723, 547, 7903, 1296, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 23205, 16161, 543, 19088, 1108, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 3127, 1315, 4937, 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, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1158, 540, 1875, 7232, 16090, 22470, 9511, 267, 4481, 3695, 674, 1276, 338, 1014, 2516, 269, 1452, 6310, 21437, 616, 2629, 538, 1620, 2413, 6436, 538, 1585, 4610, 267, 1519, 25563, 543, 2780, 12449, 269, 1284, 3513, 1628, 2390, 2596, 12166, 3741, 1247, 8220, 873, 547, 4207, 3156, 780, 1262, 272, 269, 589, 16684, 3778, 540, 6348, 7232, 16090, 22470, 2983, 2210, 1845, 4373, 2414, 1174, 674, 1276, 338, 1014, 2516, 267, 1577, 721, 1101, 30603, 21482, 573, 781, 11359, 2022, 3634, 1107, 1419, 2808, 519, 5748, 540, 8106, 9511, 269, 901, 2829, 602, 952, 1079, 3515, 12969, 513, 3791, 1899, 538, 971, 513, 1259, 602, 519, 2040, 540, 519, 6418, 7285, 593, 835, 2427, 11224, 1447, 982, 1079, 1318, 7285, 267, 1287, 891, 1079, 3515, 1590, 23366, 12969, 593, 602, 2427, 952, 6905, 2484, 2614, 269, 1280, 5553, 267, 22697, 13986, 547, 6961, 621, 1210, 1152, 519, 824, 2185, 2022, 12885, 2394, 12821, 1380, 6700, 602, 4244, 22762, 1845, 1522, 2291, 1141, 713, 3948, 1281, 711, 3180, 3020, 780, 1607, 3366, 547, 519, 1646, 540, 5409, 26382, 9511, 630, 320, 1826, 540, 1875, 7232, 16090, 22470, 9511, 1070, 4362, 10446, 676, 31123, 5995, 341, 20391, 543, 645, 8432, 2967, 1472, 476, 8146, 271, 269, 15214, 26382, 2230, 814, 3586, 2942, 22441, 267, 17804, 609, 519, 2318, 22441, 1336, 538, 20085, 9511, 543, 519, 6366, 1145, 540, 28070, 2230, 269, 898, 729, 7313, 4532, 541, 2946, 945, 2663, 5189, 674, 20415, 1014, 3252, 267, 1631, 1634, 607, 674, 1276, 338, 1014, 2516, 267, 607, 4909, 3615, 538, 4974, 3678, 6973, 3359, 540, 681, 22044, 2335, 7252, 543, 5409, 26382, 7030, 9529, 780, 1262, 273, 269, 4197, 2598, 4740, 20492, 4373, 6524, 7234, 674, 1276, 338, 1014, 2516, 267, 649, 991, 547, 9787, 519, 1523, 540, 15768, 2516, 269, 589, 1895, 717, 9117, 593, 930, 30490, 2230, 2473, 568, 1767, 547, 581, 15768, 950, 2016, 1022, 1448, 1535, 538, 2473, 267, 972, 6818, 606, 1930, 8378, 772, 540, 1535, 5627, 1100, 824, 2798, 6697, 896, 519, 2962, 540, 717, 4849, 7654, 1535, 3294, 269, 2271, 30698, 569, 267, 1589, 827, 11093, 27371, 5781, 2059, 513, 12285, 6656, 282, 596, 666, 12701, 543, 6335, 519, 6656, 1510, 4929, 1022, 18899, 547, 2244, 2282, 1776, 780, 1103, 811, 5432, 2474, 267, 2015, 2098, 267, 519, 1305, 540, 9981, 896, 1840, 1765, 10472, 3029, 513, 15768, 1895, 1317, 4946, 1022, 8870, 547, 1776, 2164, 538, 513, 1871, 3982, 689, 922, 3312, 12543, 269, 25037, 5944, 267, 519, 1305, 540, 1483, 2338, 568, 711, 15768, 2094, 1169, 1297, 8843, 28222, 1082, 12543, 2673, 676, 780, 1262, 274, 269, 20223, 674, 1276, 338, 1014, 20492, 4373, 3086, 602, 649, 10146, 15768, 2516, 1577, 781, 5581, 674, 1276, 338, 1014, 2516, 269, 1358, 616, 15768, 1016, 25364, 540, 13662, 299, 263, 273, 267, 305, 1070, 519, 1788, 633, 2027, 5276, 1895, 9967, 540, 476, 273, 343, 273, 14290, 609, 24572, 1341, 272, 267, 1110, 25222, 741, 4099, 2715, 296, 16427, 296, 20467, 3962, 3693, 540, 13662, 299, 263, 273, 267, 305, 264, 4564, 513, 27847, 5276, 7004, 11837, 519, 5580, 3368, 13807, 2033, 670, 5196, 3294, 8497, 10066, 780, 293, 1276, 338, 1014, 2516, 8451, 6923, 998, 21890, 15687, 2516, 2443, 4134, 4740, 1016, 25364, 540, 13662, 299, 263, 273, 267, 290, 28931, 15290, 28142, 3007, 547, 1346, 6028, 23223, 656, 519, 1950, 7077, 2864, 982, 8806, 11689, 1944, 1367, 2798, 269, 4935, 267, 674, 1276, 338, 1014, 2516, 1683, 17715, 3631, 585, 1620, 1623, 5471, 1845, 538, 5409, 26382, 5624, 780, 1262, 275, 269, 27284, 12358, 1622, 1299, 18806, 8688, 725, 4373, 288, 4909, 6389, 540, 513, 674, 1276, 338, 1014, 1895, 3852, 497, 568, 513, 4448, 3148, 667, 538, 670, 17598, 1614, 2175, 1384, 328, 269, 5272, 10739, 3852, 497, 345, 815, 2715, 24556, 18750, 2567, 29339, 4501, 486, 394, 497, 348, 10742, 667, 693, 2547, 2899, 8259, 1990, 568, 513, 6378, 1448, 540, 930, 14248, 328, 10364, 3693, 540, 3852, 497, 563, 4512, 269, 1403, 1079, 2609, 29339, 272, 267, 24556, 273, 4501, 486, 394, 497, 4786, 2798, 3330, 667, 547, 519, 1482, 1448, 267, 1287, 29339, 272, 284, 24556, 273, 610, 29339, 272, 24556, 273, 6629, 272, 4368, 525, 513, 10465, 1448, 540, 667, 563, 13839, 269, 634, 9703, 540, 667, 3568, 1100, 3852, 497, 25668, 20884, 2798, 780, 3528, 512, 4979, 1927, 21412, 12215, 540, 513, 4909, 6389, 3842, 14759, 538, 519, 2404, 674, 1276, 338, 1014, 1895, 267, 649, 3489, 513, 512, 525, 8688, 566, 540, 519, 5409, 26382, 7077, 269, 901, 1184, 8761, 6946, 3270, 10452, 519, 5817, 15340, 9598, 730, 676, 519, 6074, 674, 1276, 338, 1014, 1895, 780, 1262, 276, 269, 10241, 540, 674, 1276, 338, 1014, 20492, 4373, 9213, 267, 674, 1276, 338, 1014, 2516, 1265, 3498, 538, 3309, 2127, 899, 25563, 267, 2780, 12449, 267, 17562, 267, 543, 6323, 269, 2290, 8037, 1383, 3322, 10451, 29660, 268, 12690, 9696, 1759, 593, 674, 1276, 338, 1014, 2516, 267, 1031, 538, 14238, 6620, 8506, 1164, 7779, 4351, 1145, 269, 3958, 267, 674, 1276, 338, 1014, 2516, 5351, 3173, 1138, 6819, 5691, 5054, 1813, 547, 741, 4390, 585, 9781, 1950, 16625, 3889, 7561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12850, 10866, 538, 519, 7414, 19566, 281, 11061, 267, 5029, 3359, 267, 17905, 454, 3080, 540, 519, 1883, 4205, 602, 3313, 519, 1072, 540, 513, 1560, 540, 1216, 267, 581, 621, 513, 10720, 267, 5836, 267, 610, 6908, 267, 568, 602, 1063, 519, 1216, 7998, 543, 519, 7103, 602, 2661, 972, 269, 8278, 5505, 543, 2067, 4199, 9946, 723, 1279, 1044, 5461, 538, 3384, 1585, 2409, 547, 2708, 1216, 2298, 543, 1174, 519, 2081, 602, 1480, 2238, 1860, 621, 269, 1452, 2409, 1331, 519, 946, 540, 1463, 3114, 2079, 547, 1413, 693, 1216, 2298, 693, 513, 1808, 1448, 538, 942, 543, 519, 946, 540, 1808, 13525, 7103, 547, 1413, 693, 1216, 2298, 936, 3476, 942, 10253, 563, 1103, 713, 1982, 649, 786, 1445, 593, 519, 7350, 543, 14498, 540, 2516, 540, 7103, 267, 689, 28506, 2023, 547, 12748, 7786, 547, 24991, 267, 602, 616, 3226, 6213, 547, 1585, 3800, 540, 1216, 2298, 543, 741, 946, 607, 10832, 540, 519, 1072, 540, 12748, 543, 7286, 8134, 269, 3414, 15872, 543, 22475, 267, 1053, 786, 1451, 547, 2697, 891, 2249, 543, 1020, 513, 4514, 1620, 540, 519, 5872, 1063, 741, 17550, 543, 14498, 563, 763, 7414, 19566, 814, 513, 1686, 540, 3621, 1353, 540, 1216, 2298, 267, 1519, 3646, 547, 2973, 909, 543, 11177, 28811, 4703, 540, 1216, 269, 769, 713, 1982, 649, 786, 4983, 713, 1686, 998, 513, 3126, 540, 2013, 2090, 540, 4025, 899, 519, 13660, 342, 600, 880, 5211, 543, 8235, 6115, 538, 22208, 267, 2155, 775, 618, 7345, 538, 570, 659, 5448, 267, 543, 32431, 22575, 269, 1284, 786, 849, 1413, 693, 875, 2916, 1689, 568, 10567, 547, 1860, 1216, 2298, 543, 12748, 7103, 563, 763, 1982, 786, 849, 1331, 513, 8101, 2978, 5057, 267, 799, 786, 1445, 593, 3044, 1216, 2298, 9382, 971, 607, 1216, 21052, 267, 30175, 6541, 267, 2101, 606, 542, 2079, 267, 2101, 543, 10250, 524, 725, 267, 543, 2698, 15702, 17571, 269, 4841, 786, 581, 8036, 547, 946, 2101, 31627, 971, 607, 519, 594, 9573, 5336, 306, 543, 15768, 2555, 10045, 269, 4841, 786, 1685, 891, 9382, 593, 1312, 15195, 543, 6070, 4248, 2361, 4609, 563, 5978, 1565, 3853, 786, 1331, 281, 3384, 513, 4396, 1702, 3490, 538, 519, 7998, 540, 1216, 2298, 543, 519, 17550, 543, 14498, 540, 2824, 7286, 543, 15195, 2831, 282, 3384, 519, 2702, 547, 11753, 2035, 538, 7998, 543, 2035, 538, 7350, 547, 1174, 875, 1216, 2298, 25998, 609, 3662, 17550, 282, 543, 3384, 543, 1620, 540, 875, 7998, 543, 7350, 616, 1031, 547, 6895, 1216, 2298, 538, 519, 7414, 19566, 563, 10743, 945, 1491, 519, 1982, 585, 476, 279, 17099, 786, 1445, 593, 519, 5872, 1063, 7350, 543, 1216, 2298, 543, 519, 1686, 540, 519, 3621, 1353, 540, 1216, 2298, 538, 519, 7414, 19566, 563, 279, 17099, 540, 4937, 10334, 543, 476, 279, 17099, 540, 4937, 11061, 454, 17345, 13129, 10606, 454, 288, 638, 1738, 14498, 267, 3289, 14347, 267, 7998, 267, 3618, 9443, 267, 3114, 31627, 267, 2825, 2079, 267, 543, 2825, 2361, 1740, 454, 259, 15389, 2698, 13927, 281, 1269, 1911, 2838, 2978, 13927, 543, 513, 1269, 4391, 2838, 1433, 13927, 454, 10000, 547, 476, 1626, 5580, 6498, 17099, 949, 581, 13752, 2390, 3811, 12032, 540, 782, 1982, 10467, 602, 9727, 606, 4359, 1620, 540, 519, 3584, 4988, 538, 519, 1982, 0, 4263, 513, 3794, 766, 454, 23458, 12626, 2443, 2475, 454, 268, 4317, 5525, 454, 268, 6820, 24779, 1299, 26790, 454, 1103, 476, 1001, 279, 267, 476, 272, 856, 540, 1169, 476, 10482, 1004, 1472, 519, 1158, 941, 19774, 689, 741, 5321, 1317, 540, 5208, 610, 4250, 540, 20655, 269, 476, 272, 634, 7142, 9194, 540, 1004, 568, 2810, 267, 3395, 689, 476, 6246, 269, 274, 2929, 1004, 538, 476, 1220, 280, 547, 476, 3583, 269, 279, 2929, 538, 476, 1001, 279, 269, 476, 273, 4658, 4734, 538, 3406, 540, 1732, 2729, 281, 547, 1265, 960, 267, 547, 11654, 741, 2069, 267, 547, 1265, 3106, 689, 5208, 267, 610, 547, 1265, 10343, 540, 945, 789, 616, 269, 1306, 11776, 4679, 267, 621, 568, 4742, 606, 2479, 811, 1271, 2797, 3390, 538, 1082, 2477, 269, 12267, 540, 20404, 1765, 323, 17805, 532, 519, 2175, 789, 25176, 610, 519, 4507, 602, 10038, 741, 3350, 1765, 21865, 20441, 519, 3377, 563, 1607, 11512, 518, 6799, 7194, 593, 9194, 1472, 519, 1158, 543, 11225, 1883, 2474, 11341, 547, 9194, 267, 971, 607, 968, 332, 580, 7949, 2223, 968, 10915, 4007, 324, 2223, 543, 968, 553, 23796, 3343, 518, 2223, 538, 1931, 547, 948, 596, 1732, 1174, 2621, 538, 519, 3377, 563, 268, 476, 272, 2108, 17471, 12367, 281, 1280, 1027, 2598, 10293, 538, 476, 1001, 279, 2223, 2136, 8315, 4400, 30934, 585, 25083, 525, 630, 1001, 280, 1916, 268, 476, 273, 2108, 17471, 12367, 2223, 2136, 8315, 4400, 30934, 585, 25083, 525, 563, 1692, 1082, 20404, 616, 972, 1472, 519, 1158, 888, 8698, 891, 1102, 16623, 607, 513, 1257, 1592, 540, 5013, 2630, 563, 8005, 568, 513, 27540, 888, 288, 27540, 568, 1022, 1268, 945, 7575, 2476, 689, 741, 1753, 15335, 267, 2901, 3330, 513, 2197, 610, 1063, 2477, 269, 898, 568, 513, 3376, 2165, 602, 13315, 1312, 1004, 945, 3442, 547, 4734, 543, 1004, 267, 899, 15076, 267, 945, 616, 7142, 547, 4734, 563, 8005, 568, 513, 21345, 888, 1103, 4948, 1893, 267, 519, 2165, 21345, 4016, 547, 968, 320, 1268, 7904, 4370, 1272, 18446, 2175, 1848, 476, 272, 4750, 1235, 1419, 946, 21345, 538, 713, 2631, 547, 3277, 547, 1004, 7904, 4370, 689, 5208, 267, 2804, 10969, 566, 267, 610, 2916, 15166, 1886, 1127, 267, 585, 1383, 269, 1717, 267, 519, 3656, 4214, 540, 21345, 568, 811, 1808, 982, 519, 2442, 4214, 269, 4340, 547, 519, 2136, 8315, 267, 513, 21345, 568, 513, 1268, 945, 568, 3544, 540, 741, 1378, 2197, 543, 786, 711, 610, 3112, 2132, 1317, 540, 513, 968, 6202, 1922, 15903, 4250, 540, 1373, 30201, 3176, 585, 4128, 540, 5198, 267, 4984, 267, 22874, 267, 15376, 540, 513, 1880, 1514, 1895, 610, 2797, 6644, 1848, 476, 273, 634, 4214, 849, 2882, 2493, 6804, 1004, 267, 945, 616, 711, 6444, 607, 4961, 540, 1022, 2197, 563, 1432, 568, 519, 3017, 1063, 513, 21345, 543, 606, 28357, 3343, 518, 888, 2304, 28357, 3343, 518, 568, 513, 1268, 945, 568, 6998, 585, 4027, 896, 3486, 1876, 269, 2353, 15076, 2253, 607, 28357, 32339, 267, 855, 711, 782, 28357, 32339, 1831, 15076, 269, 15394, 267, 606, 28357, 3343, 518, 21128, 538, 513, 4914, 2197, 543, 10039, 585, 4027, 896, 602, 2197, 779, 28357, 4031, 269, 3962, 2197, 814, 513, 1114, 1184, 585, 26587, 28357, 269, 4658, 7311, 585, 28357, 616, 2356, 4280, 547, 3761, 2963, 18445, 789, 723, 1044, 30201, 3176, 2059, 609, 741, 3498, 269, 7201, 3486, 1876, 267, 1004, 723, 519, 1318, 547, 3343, 28357, 538, 513, 1114, 10315, 952, 741, 1378, 2229, 14543, 538, 922, 13800, 547, 873, 269, 4935, 267, 28357, 32339, 22109, 16155, 269, 476, 274, 454, 1692, 814, 519, 4214, 540, 21345, 4957, 936, 942, 888, 4198, 272, 13482, 593, 519, 21073, 540, 25083, 525, 281, 634, 2136, 8315, 630, 7419, 264, 3989, 519, 2165, 21345, 543, 8815, 593, 1018, 2924, 15076, 723, 267, 538, 713, 15007, 267, 799, 729, 5293, 538, 519, 21987, 540, 2622, 2782, 4083, 269, 634, 22731, 6167, 4214, 540, 21345, 1152, 3769, 17417, 563, 3422, 278, 16257, 593, 519, 21073, 540, 25083, 525, 281, 769, 713, 7014, 267, 519, 6167, 9450, 519, 4214, 540, 519, 2165, 21345, 547, 1331, 1004, 7904, 4370, 689, 1022, 2197, 1472, 519, 1158, 563, 8005, 568, 2808, 547, 581, 513, 21345, 896, 713, 4214, 888, 288, 26219, 1268, 945, 7904, 525, 547, 11894, 1317, 789, 4250, 789, 786, 581, 7166, 1813, 547, 741, 2797, 4978, 563, 3963, 286, 5221, 713, 1268, 2451, 16850, 267, 15385, 606, 3486, 8473, 267, 543, 814, 513, 968, 6202, 1922, 15903, 4250, 540, 1373, 30201, 3176, 892, 538, 16850, 1813, 547, 741, 2797, 4978, 563, 288, 30323, 532, 5984, 1268, 689, 27060, 267, 945, 568, 711, 2111, 547, 1205, 513, 27060, 1780, 1636, 1317, 1152, 2818, 540, 1978, 6803, 2516, 616, 2111, 547, 2744, 15114, 563, 3963, 286, 5221, 896, 3486, 1876, 3025, 568, 13886, 547, 513, 22874, 543, 20038, 689, 513, 2229, 269, 4139, 1876, 3976, 17767, 1004, 1510, 1022, 15114, 607, 15076, 563, 2304, 954, 16303, 1268, 689, 25472, 945, 7904, 525, 519, 2197, 1310, 7680, 6937, 543, 5208, 1317, 540, 741, 3961, 563, 3963, 286, 5221, 519, 1268, 729, 7142, 547, 25176, 741, 2197, 267, 543, 519, 6167, 3622, 15109, 30201, 3176, 700, 289, 28566, 304, 296, 1004, 968, 553, 2818, 538, 513, 1880, 1514, 1895, 3034, 8005, 568, 711, 2808, 547, 581, 513, 21345, 896, 713, 4214, 888, 288, 26219, 945, 7904, 525, 689, 12456, 2444, 639, 630, 1492, 3854, 540, 16850, 264, 547, 519, 670, 1682, 3148, 540, 16850, 1317, 789, 4250, 789, 786, 581, 7166, 1813, 547, 741, 2797, 4978, 563, 3963, 286, 5221, 1256, 1498, 789, 616, 7142, 547, 25176, 1317, 540, 513, 968, 6202, 1922, 15903, 4250, 540, 1373, 30201, 3176, 2223, 789, 1705, 711, 4734, 16850, 269, 589, 1268, 1590, 581, 3544, 540, 741, 2197, 540, 5169, 547, 581, 2808, 513, 21345, 563, 288, 10854, 14435, 6062, 1268, 945, 568, 19774, 1317, 8375, 4262, 2157, 6360, 741, 1753, 563, 3963, 286, 5221, 3486, 21345, 1876, 1281, 711, 1331, 1004, 945, 616, 19774, 1813, 547, 2067, 12469, 610, 2916, 1689, 563, 288, 717, 7315, 664, 945, 3112, 1265, 1022, 960, 547, 1489, 741, 1920, 543, 3762, 19168, 547, 2119, 547, 1265, 960, 538, 1776, 2197, 563, 3963, 286, 5221, 3486, 21345, 1876, 1281, 711, 1331, 1004, 945, 616, 7142, 547, 22109, 585, 2804, 4128, 563, 268, 476, 272, 20067, 1744, 871, 333, 913, 267, 968, 8005, 1772, 513, 25083, 324, 286, 2223, 15979, 476, 4817, 630, 2735, 276, 2567, 476, 28638, 268, 29257, 563, 268, 476, 273, 2108, 3519, 3685, 543, 16257, 4039, 908, 547, 519, 21073, 540, 25083, 525, 2223, 2136, 8315, 4400, 30934, 585, 25083, 525, 563, 268, 476, 274, 2108, 7659, 24779, 16301, 2223, 594, 6865, 3896, 563, 17806, 4528, 540, 9194, 5013, 1031, 538, 1102, 4919, 1657, 912, 6097, 547, 513, 6167, 295, 10135, 7797, 281, 476, 272, 454, 268, 2311, 519, 1439, 540, 476, 1001, 279, 267, 972, 941, 476, 3583, 269, 279, 2929, 1004, 945, 941, 585, 322, 4601, 19774, 968, 553, 513, 1267, 540, 20655, 267, 4655, 267, 5208, 267, 610, 1480, 2924, 19374, 3034, 268, 4934, 540, 713, 1297, 267, 476, 1839, 269, 280, 2929, 941, 15076, 454, 268, 476, 4391, 267, 1822, 1007, 771, 2897, 906, 1169, 1554, 454, 268, 476, 275, 538, 476, 276, 19774, 1004, 941, 538, 15231, 2477, 454, 268, 476, 15946, 267, 7785, 796, 659, 1260, 3966, 1221, 543, 9674, 1453, 941, 19774, 538, 476, 1001, 279, 454, 268, 5440, 2947, 11488, 2477, 281, 16850, 267, 15787, 267, 3162, 20528, 267, 27060, 267, 28950, 807, 454, 268, 5440, 2947, 8391, 2477, 281, 11894, 267, 9031, 267, 24063, 267, 20528, 267, 5125, 454, 268, 26288, 1185, 519, 5207, 829, 21027, 1297, 540, 15076, 630, 272, 538, 476, 277, 1004, 538, 26288, 994, 268, 27816, 1185, 513, 3728, 21212, 1297, 540, 15076, 543, 28357, 5498, 2131, 619, 6028, 519, 2197, 538, 476, 1001, 279, 454, 6097, 547, 606, 594, 6865, 7797, 281, 476, 273, 454, 268, 6480, 13846, 476, 28192, 2929, 3486, 20404, 538, 476, 1001, 276, 563, 268, 18378, 9194, 630, 332, 12568, 1369, 513, 2197, 264, 568, 2352, 547, 2268, 267, 855, 972, 941, 606, 6059, 476, 278, 2412, 2929, 538, 476, 1220, 280, 563, 268, 476, 272, 968, 17471, 12367, 2223, 2136, 8315, 4400, 30934, 585, 25083, 525, 563, 268, 476, 273, 2108, 13328, 24779, 7797, 476, 1001, 279, 2223, 4139, 9257, 585, 24779, 630, 1001, 278, 1040, 0, 19119, 540, 13340, 532, 26643, 585, 5753, 454, 1103, 2221, 779, 1158, 267, 621, 568, 540, 25932, 2956, 547, 2327, 602, 1453, 616, 8391, 606, 2069, 602, 568, 1312, 15508, 543, 9308, 18398, 269, 13340, 532, 5049, 585, 1453, 2709, 1175, 602, 269, 8447, 3635, 568, 606, 1898, 851, 540, 1022, 2635, 6197, 267, 543, 4216, 532, 5049, 1683, 513, 1390, 1259, 585, 1453, 547, 3251, 3742, 269, 3502, 1152, 798, 789, 948, 547, 2087, 2168, 1072, 543, 8516, 267, 855, 789, 849, 948, 547, 2333, 4222, 267, 16608, 267, 543, 8112, 563, 18183, 2064, 543, 1582, 12635, 616, 849, 1271, 3344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8474, 3992, 267, 1053, 1865, 875, 3811, 10437, 1131, 581, 3001, 1472, 693, 3781, 267, 1451, 519, 5728, 6863, 1031, 585, 9101, 11507, 543, 2689, 4282, 827, 2483, 274, 6113, 910, 476, 276, 628, 2296, 5678, 8551, 454, 15152, 3033, 21805, 8893, 14136, 454, 10743, 2263, 519, 26789, 21805, 269, 769, 713, 772, 2529, 269, 1686, 543, 2029, 3992, 267, 1053, 1382, 606, 8655, 1888, 1644, 547, 519, 26789, 21805, 267, 971, 607, 834, 21966, 819, 626, 2437, 834, 17238, 528, 2437, 610, 834, 23667, 8075, 1701, 4841, 1374, 513, 2483, 275, 628, 910, 476, 277, 628, 10439, 1299, 27400, 8551, 0, 288, 19506, 8313, 538, 519, 1514, 9443, 267, 27692, 14811, 8124, 779, 13834, 568, 519, 1034, 3102, 1837, 547, 2263, 4008, 1914, 10999, 267, 607, 513, 2565, 543, 4909, 10155, 540, 513, 1268, 779, 3961, 267, 4205, 267, 1646, 267, 543, 1909, 543, 4567, 538, 2486, 269, 681, 4474, 538, 9165, 689, 519, 4948, 5030, 2833, 540, 2043, 547, 519, 1950, 3270, 543, 3889, 540, 4008, 602, 616, 3812, 676, 5238, 538, 938, 2518, 2486, 267, 519, 1433, 8761, 875, 24300, 540, 4008, 4268, 2066, 942, 543, 1747, 543, 6521, 2059, 519, 12969, 532, 3515, 540, 5198, 267, 14940, 267, 2528, 267, 14920, 267, 1362, 543, 4984, 563, 6635, 337, 1516, 693, 513, 942, 540, 11999, 1514, 1689, 267, 519, 1007, 267, 18749, 7160, 11498, 922, 11826, 267, 7811, 1935, 547, 2992, 593, 2487, 2621, 543, 2152, 609, 4030, 602, 4161, 6671, 2219, 827, 519, 4008, 9352, 543, 519, 11475, 602, 1267, 269, 10765, 543, 6932, 3584, 602, 616, 11567, 1331, 519, 1948, 9288, 32451, 543, 11806, 8573, 2074, 5322, 267, 2797, 3765, 690, 2106, 344, 538, 519, 11686, 5736, 267, 8155, 540, 27828, 267, 7365, 543, 1920, 5250, 267, 759, 4026, 550, 15594, 17933, 543, 9299, 343, 529, 267, 519, 575, 25311, 9036, 267, 543, 7096, 4539, 540, 683, 565, 28515, 14051, 563, 5319, 5341, 532, 922, 25349, 1935, 609, 15834, 5813, 689, 15594, 267, 6211, 267, 5626, 267, 3140, 267, 543, 10236, 1670, 5380, 267, 519, 1007, 7160, 540, 13834, 2488, 513, 7059, 543, 3376, 1935, 609, 28505, 267, 6422, 1543, 602, 2417, 338, 2875, 1620, 267, 1312, 540, 519, 2956, 540, 4008, 543, 875, 621, 5546, 1367, 24551, 543, 1514, 3157, 538, 519, 772, 2529, 269, 543, 2066, 519, 8608, 563, 8368, 540, 12937, 454, 8512, 476, 272, 269, 11933, 3749, 543, 3955, 13694, 21126, 476, 272, 269, 634, 24205, 540, 13834, 281, 11933, 3749, 21126, 1656, 12339, 21442, 15753, 3311, 476, 273, 269, 13834, 4886, 281, 10334, 267, 11557, 7081, 267, 1656, 2657, 476, 274, 269, 13834, 4886, 281, 634, 4317, 1436, 6713, 476, 275, 269, 717, 25311, 5678, 267, 9442, 267, 543, 4317, 1436, 476, 276, 269, 5375, 3778, 543, 634, 14716, 540, 13834, 3487, 476, 273, 269, 13834, 267, 25141, 267, 543, 19198, 476, 278, 269, 717, 25311, 11146, 267, 25141, 267, 543, 9622, 7217, 17151, 18887, 476, 279, 269, 13834, 543, 19198, 476, 280, 269, 9093, 543, 16549, 1529, 6541, 3487, 476, 274, 269, 13834, 543, 4317, 30543, 476, 1015, 269, 13834, 267, 4518, 267, 543, 519, 31071, 476, 1556, 269, 4065, 543, 13834, 10020, 7827, 476, 1321, 269, 15215, 543, 24686, 8944, 476, 1724, 269, 9012, 476, 1691, 269, 5295, 267, 15348, 267, 543, 519, 4521, 454, 299, 25475, 700, 269, 14811, 8124, 568, 18947, 17976, 337, 693, 6115, 2160, 538, 853, 269, 8402, 543, 7905, 9622, 7978, 540, 24205, 693, 6307, 6807, 2160, 269, 4173, 3450, 543, 1382, 616, 896, 513, 4008, 543, 10167, 531, 22597, 267, 1519, 6030, 593, 4763, 267, 8635, 267, 14051, 267, 543, 1072, 543, 2486, 269, 14539, 19093, 1331, 1071, 24737, 1243, 6468, 540, 5607, 281, 32501, 267, 4886, 267, 543, 13834, 24054, 5081, 1670, 22588, 569, 267, 16473, 532, 23532, 18366, 267, 543, 24205, 630, 274, 27582, 1040, 2701, 4843, 693, 519, 6167, 10985, 593, 6468, 538, 19864, 269, 589, 1279, 5503, 15321, 267, 1352, 1568, 609, 8041, 593, 15773, 540, 2021, 779, 14223, 267, 1072, 267, 543, 1646, 269, 2701, 568, 513, 2250, 7022, 540, 519, 29268, 5081, 1670, 5980, 543, 814, 1044, 11221, 547, 5808, 779, 5808, 538, 1977, 6468, 543, 5808, 779, 5808, 538, 3013, 563, 763, 18749, 7160, 540, 13834, 281, 5081, 1670, 21126, 568, 8037, 585, 922, 3102, 2079, 540, 3140, 543, 4207, 2152, 543, 3584, 269, 674, 2683, 609, 1806, 689, 1472, 519, 8608, 543, 6896, 609, 1053, 538, 2247, 267, 13834, 3091, 606, 27763, 7650, 540, 2487, 1382, 543, 12050, 569, 12116, 1699, 4145, 538, 519, 2361, 563, 19723, 517, 3821, 661, 269, 2405, 2088, 267, 21133, 7905, 540, 24205, 267, 18518, 2160, 14913, 3427, 540, 4317, 7070, 454, 6635, 337, 1516, 693, 513, 942, 540, 27789, 1514, 1689, 267, 27692, 14811, 8124, 779, 1007, 7160, 540, 13834, 281, 5081, 1670, 21126, 740, 12742, 547, 922, 9371, 607, 519, 1034, 3102, 1257, 6220, 14262, 10167, 531, 1382, 543, 7713, 4008, 2152, 689, 513, 3099, 540, 25349, 5380, 269, 634, 25349, 20457, 568, 23353, 607, 14811, 8124, 19306, 519, 960, 540, 5640, 538, 1585, 10459, 543, 8711, 875, 4008, 17933, 4652, 9529, 2066, 519, 8608, 269, 898, 568, 24253, 547, 1294, 7059, 2518, 1570, 10452, 575, 25311, 4641, 998, 28836, 2686, 14485, 538, 1312, 519, 2919, 543, 3384, 1158, 269, 14811, 8124, 5578, 2685, 954, 933, 2314, 2789, 31886, 540, 3137, 585, 5732, 8701, 1944, 2152, 1644, 547, 4008, 267, 971, 607, 6211, 4978, 827, 4008, 267, 1654, 4979, 9821, 267, 4638, 18275, 538, 2069, 543, 519, 9036, 267, 3909, 5784, 540, 4008, 267, 13348, 8944, 267, 543, 2797, 3765, 690, 2106, 344, 269, 901, 18749, 7160, 540, 13834, 281, 5081, 1670, 21126, 3927, 3771, 341, 3949, 513, 7415, 2179, 540, 1699, 4101, 1570, 543, 6799, 621, 538, 3015, 2081, 547, 4497, 1053, 538, 6209, 7391, 827, 4008, 269, 594, 7494, 5660, 519, 15826, 543, 11826, 1543, 538, 713, 24077, 4320, 563, 9288, 15590, 836, 714, 715, 1690, 2378, 714, 1228, 327, 267, 3213, 7232, 323, 3218, 540, 6468, 540, 5607, 281, 32501, 267, 4886, 267, 543, 13834, 24054, 454, 299, 25475, 14811, 8124, 779, 5767, 7160, 540, 13834, 281, 5081, 1670, 21126, 2501, 547, 721, 693, 606, 5863, 569, 2565, 4090, 538, 942, 269, 27933, 519, 2479, 21608, 1514, 31135, 547, 7184, 11251, 4008, 9465, 267, 607, 1134, 607, 519, 14784, 540, 513, 2518, 6855, 267, 713, 1257, 2488, 513, 7059, 267, 12170, 7828, 998, 799, 649, 666, 1294, 4008, 5693, 269, 14811, 8124, 779, 3102, 1935, 5088, 806, 782, 519, 1898, 3334, 2877, 585, 513, 9758, 1620, 540, 519, 28622, 540, 4008, 609, 5198, 267, 590, 2464, 267, 543, 782, 824, 1514, 6688, 602, 5581, 834, 712, 1747, 257, 538, 2486, 543, 519, 1158, 269, 13834, 281, 5081, 1670, 21126, 267, 476, 278, 628, 7160, 267, 24084, 839, 1053, 543, 16929, 7567, 267, 1247, 4259, 519, 3942, 585, 4143, 267, 7347, 5717, 593, 1141, 649, 723, 1044, 267, 1141, 649, 616, 267, 543, 1141, 649, 616, 2469, 269, 594, 993, 9599, 827, 543, 18507, 585, 713, 12905, 267, 16367, 1257, 563, 5719, 6277, 773, 3213, 1846, 267, 24205, 20513, 267, 5441, 540, 8551, 543, 7070, 267, 6307, 6807, 2160, 454, 2414, 2744, 1569, 547, 519, 14357, 2200, 585, 713, 2140, 267, 5225, 3643, 519, 26189, 528, 8249, 8281, 16735, 269, 1411, 786, 581, 19430, 547, 6445, 856, 513, 14261, 1106, 799, 786, 581, 20240, 676, 835, 540, 938, 6455, 1065, 338, 269, 0, 14240, 540, 5675, 269, 12791, 540, 5675, 269, 14271, 11618, 540, 5675, 454, 2080, 596, 786, 1265, 835, 610, 811, 3137, 538, 2296, 585, 519, 2262, 5675, 269, 4746, 538, 519, 5377, 2451, 540, 519, 2985, 1896, 2694, 540, 28957, 3817, 1644, 547, 519, 2262, 5675, 543, 267, 540, 1576, 267, 5675, 19655, 543, 593, 519, 1318, 2592, 1644, 547, 519, 2262, 5675, 563, 14240, 540, 5675, 454, 16240, 16240, 13360, 257, 532, 267, 562, 563, 272, 269, 634, 957, 610, 1148, 540, 8108, 5022, 543, 3197, 593, 1957, 2676, 6229, 267, 6149, 267, 610, 824, 1570, 267, 585, 519, 3483, 540, 454, 13440, 1800, 519, 2093, 799, 3197, 543, 1913, 2769, 267, 610, 454, 1993, 14379, 873, 547, 1866, 676, 7298, 4191, 563, 273, 269, 32506, 2854, 610, 9102, 282, 4376, 6829, 538, 454, 10420, 3030, 610, 5022, 282, 607, 912, 5416, 264, 7102, 3656, 6293, 267, 607, 513, 632, 539, 267, 513, 2256, 18967, 267, 513, 6125, 267, 606, 454, 698, 872, 618, 267, 610, 519, 899, 563, 6357, 264, 7102, 2854, 5888, 282, 513, 30732, 2280, 282, 513, 960, 282, 513, 454, 32173, 776, 2504, 282, 513, 1433, 282, 607, 267, 519, 12591, 540, 454, 6262, 264, 1323, 30115, 563, 4517, 15815, 622, 5206, 513, 2140, 1547, 1547, 1547, 1656, 519, 1603, 454, 13195, 267, 4906, 540, 9294, 732, 628, 267, 519, 3751, 540, 519, 7642, 563, 274, 269, 29986, 282, 16584, 5766, 1429, 344, 563, 16240, 1433, 267, 513, 1433, 585, 2259, 538, 4050, 26206, 563, 16240, 11380, 267, 513, 11380, 609, 513, 1793, 14563, 1283, 585, 1603, 2390, 3248, 10193, 267, 513, 2013, 5627, 1603, 2326, 267, 543, 1031, 538, 513, 454, 16240, 561, 1046, 630, 313, 334, 14277, 334, 316, 331, 13776, 519, 3864, 5835, 3620, 600, 1067, 282, 4534, 865, 454, 21406, 689, 519, 8049, 12150, 3515, 593, 922, 5798, 563, 16240, 3684, 269, 23893, 607, 7392, 23116, 563, 16240, 4487, 267, 835, 945, 11414, 519, 1148, 540, 4050, 26206, 563, 16240, 8078, 2218, 630, 25187, 1070, 513, 6125, 563, 16240, 1957, 267, 1957, 5497, 585, 1603, 2390, 609, 13504, 2676, 17141, 8737, 609, 513, 5347, 2627, 267, 543, 21092, 563, 16240, 1153, 267, 513, 1153, 585, 6044, 538, 4050, 26206, 563, 16240, 3349, 267, 513, 3349, 19034, 610, 1031, 585, 1603, 2390, 563, 30547, 540, 5675, 689, 28957, 454, 529, 513, 5420, 454, 1993, 1480, 2792, 454, 1993, 513, 1893, 454, 5976, 6698, 269, 2755, 454, 2254, 782, 4654, 8415, 454, 268, 11300, 1603, 454, 529, 1022, 1603, 454, 7474, 4422, 3544, 454, 2889, 32216, 267, 4760, 2065, 267, 4081, 267, 610, 2930, 3029, 454, 1993, 3332, 267, 3335, 2483, 1993, 875, 1603, 1949, 454, 514, 1114, 1480, 454, 322, 2753, 3074, 267, 811, 2347, 1603, 1949, 454, 268, 1603, 1062, 454, 529, 513, 1505, 454, 1993, 11617, 8204, 11913, 454, 517, 513, 7097, 454, 663, 513, 1305, 540, 3652, 15725, 454, 1080, 946, 269, 2755, 454, 268, 589, 1603, 3349, 454, 680, 520, 264, 814, 513, 3126, 454, 1993, 2721, 619, 2047, 896, 454, 1993, 519, 3349, 267, 547, 2270, 1603, 454, 574, 921, 906, 267, 865, 602, 621, 949, 4196, 2483, 268, 2201, 5675, 454, 1729, 281, 2201, 5675, 454, 281, 589, 6490, 7546, 454, 1993, 519, 14958, 267, 513, 17728, 454, 2421, 1977, 2278, 15537, 454, 21914, 2201, 5675, 454, 263, 295, 25977, 3118, 1070, 513, 1650, 23650, 454, 268, 589, 1603, 454, 9188, 330, 610, 17531, 454, 9711, 607, 513, 2186, 540, 11741, 454, 4752, 823, 269, 27603, 267, 513, 1603, 454, 9188, 330, 568, 585, 1603, 5022, 454, 2421, 1688, 269, 898, 2356, 454, 13757, 513, 1283, 602, 32195, 2483, 268, 4201, 11703, 1603, 454, 529, 513, 10645, 2618, 545, 2702, 3850, 454, 1729, 3132, 2854, 1913, 1510, 29596, 1603, 454, 269, 634, 1913, 454, 268, 547, 519, 5377, 454, 1993, 519, 1603, 454, 16435, 622, 269, 634, 1603, 1793, 622, 454, 13195, 1031, 676, 1453, 454, 514, 835, 268, 3336, 1153, 17346, 454, 1729, 2259, 1603, 454, 268, 29480, 1603, 30242, 454, 1729, 18609, 3988, 454, 514, 606, 2856, 610, 6644, 454, 663, 547, 798, 606, 2962, 269, 3509, 12591, 454, 7945, 607, 30852, 267, 8039, 267, 5114, 2483, 13146, 590, 792, 2583, 4429, 16665, 2592, 547, 5675, 0, 314, 332, 2355, 316, 2782, 940, 256, 634, 7851, 616, 8850, 6383, 689, 519, 21849, 1344, 267, 543, 519, 1184, 1281, 711, 2141, 3132, 11807, 1267, 282, 6423, 827, 7851, 585, 811, 9623, 563, 5278, 1644, 3332, 912, 763, 29700, 540, 3127, 269, 4675, 11915, 1957, 547, 519, 12531, 538, 834, 763, 21426, 540, 3703, 3127, 2668, 3487, 594, 268, 2862, 454, 297, 269, 25512, 599, 28571, 269, 2876, 269, 17502, 269, 476, 1556, 454, 263, 273, 2567, 476, 28071, 268, 29574, 267, 726, 269, 589, 630, 6245, 278, 13211, 263, 274, 2567, 476, 275, 4343, 268, 5780, 273, 630, 6245, 279, 13211, 263, 275, 2567, 476, 277, 7176, 268, 278, 2190, 630, 6245, 279, 994, 5327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2930, 21189, 2152, 543, 596, 991, 2228, 6489, 6894, 10509, 1489, 269, 1924, 267, 3079, 540, 29595, 8732, 1302, 267, 3274, 2322, 513, 1289, 693, 476, 279, 4510, 268, 4968, 268, 28318, 279, 563, 1432, 3116, 1131, 991, 547, 581, 21412, 547, 1397, 602, 6906, 13235, 568, 3160, 547, 6906, 2473, 312, 313, 676, 590, 3008, 286, 9717, 281, 9474, 815, 2473, 312, 269, 5086, 589, 815, 5086, 2473, 7790, 4888, 14684, 8991, 281, 24234, 645, 815, 24234, 962, 269, 7412, 7460, 815, 7412, 962, 313, 269, 7412, 8028, 815, 7412, 2473, 313, 269, 24234, 595, 815, 24234, 2098, 1548, 824, 1344, 798, 596, 991, 538, 1931, 547, 6961, 519, 12730, 21412, 1210, 519, 590, 3008, 5556, 745, 775, 5403, 3634, 286, 513, 269, 536, 269, 2098, 289, 383, 482, 290, 284, 2098, 291, 3722, 31446, 10621, 31446, 6395, 524, 269, 546, 269, 31984, 30183, 1548, 3116, 1590, 596, 917, 547, 6961, 519, 12730, 21412, 676, 589, 6347, 286, 1635, 590, 3008, 286, 536, 269, 2098, 3722, 291, 2098, 3722, 291, 2098, 290, 5723, 282, 9474, 2098, 290, 5723, 282, 5084, 7131, 7460, 524, 269, 546, 269, 5084, 290, 2098, 3722, 291, 2098, 290, 5723, 282, 5084, 2098, 290, 5723, 282, 5084, 7460, 454, 2304, 8650, 6906, 609, 782, 7285, 21412, 568, 606, 1226, 328, 9771, 6906, 269, 4147, 1518, 10222, 9201, 676, 27449, 21121, 13235, 267, 2854, 13235, 267, 814, 2694, 602, 616, 3957, 1210, 519, 5022, 589, 267, 645, 267, 543, 595, 269, 3040, 634, 5011, 540, 13235, 616, 9474, 6567, 6629, 267, 7460, 6567, 6629, 267, 543, 11404, 6567, 6629, 269, 645, 589, 595, 3040, 634, 14622, 616, 589, 267, 645, 267, 543, 595, 269, 3040, 634, 7285, 616, 19110, 27398, 610, 19110, 289, 267, 19110, 6195, 288, 610, 19110, 290, 267, 543, 3267, 769, 1931, 547, 3113, 513, 30263, 476, 10695, 14649, 4729, 267, 596, 3580, 991, 513, 1305, 540, 536, 21725, 1239, 269, 645, 21725, 1239, 568, 1239, 602, 596, 666, 4729, 593, 606, 2473, 312, 7852, 281, 596, 3580, 991, 513, 1592, 540, 968, 343, 892, 2418, 630, 1721, 1383, 267, 2597, 264, 543, 513, 1592, 540, 968, 344, 892, 2418, 630, 1721, 1383, 267, 4463, 1040, 634, 2473, 312, 2418, 666, 581, 538, 1079, 5094, 8638, 267, 610, 789, 666, 581, 2854, 607, 2473, 312, 10974, 630, 343, 11971, 1916, 303, 10062, 676, 594, 7666, 3570, 1496, 642, 269, 476, 275, 269, 276, 1628, 476, 275, 269, 276, 269, 4905, 23378, 268, 1772, 6446, 1359, 519, 4786, 711, 2324, 763, 22830, 540, 513, 5556, 745, 775, 589, 595, 645, 667, 661, 674, 1215, 1454, 798, 596, 991, 547, 917, 269, 1547, 1547, 1547, 1547, 1547, 827, 1079, 12730, 547, 6961, 602, 789, 616, 21412, 286, 769, 7689, 476, 275, 269, 273, 267, 596, 4121, 602, 952, 782, 3670, 8424, 540, 7222, 2694, 630, 338, 1938, 543, 7285, 264, 616, 21412, 267, 1287, 519, 12730, 616, 21412, 563, 268, 4787, 2643, 334, 784, 575, 330, 8618, 8261, 21801, 476, 1556, 267, 476, 1708, 271, 5788, 1717, 267, 596, 1590, 849, 1305, 519, 1482, 22864, 593, 1022, 2385, 1463, 1559, 1657, 519, 6221, 596, 2811, 4687, 282, 952, 596, 1810, 1405, 267, 519, 3593, 666, 1405, 1413, 543, 1689, 883, 630, 7251, 264, 782, 519, 2385, 1463, 1559, 1657, 707, 3758, 610, 15682, 269, 1403, 596, 1589, 540, 513, 3758, 1062, 607, 513, 2168, 1747, 267, 1287, 27704, 960, 899, 10569, 602, 1577, 596, 1569, 1114, 1463, 1559, 912, 268, 476, 1220, 279, 2842, 329, 600, 1067, 2951, 911, 8814, 13014, 2386, 519, 3556, 270, 2839, 2338, 596, 723, 3989, 538, 707, 3593, 2707, 616, 2189, 269, 1403, 7433, 29493, 15726, 19072, 293, 9060, 513, 1875, 10595, 1664, 3556, 270, 2839, 1297, 621, 1281, 711, 9337, 519, 3593, 781, 3877, 267, 543, 10525, 513, 9963, 538, 519, 15222, 1436, 2164, 269, 1879, 10451, 3556, 270, 2839, 2338, 267, 596, 616, 4280, 547, 14574, 519, 3259, 610, 1297, 540, 9704, 596, 2154, 538, 519, 6383, 4429, 268, 8791, 7688, 10503, 3114, 6547, 3719, 649, 1810, 1405, 991, 547, 917, 782, 1614, 5011, 543, 782, 1614, 7285, 3267, 18314, 610, 1614, 856, 540, 519, 3670, 568, 2356, 2614, 269, 1703, 616, 1614, 2081, 547, 1265, 952, 1079, 12730, 616, 2147, 281, 21191, 267, 590, 3008, 543, 590, 7704, 281, 21191, 269, 21191, 6763, 585, 834, 4120, 267, 5086, 257, 543, 1797, 602, 519, 12730, 723, 1079, 540, 741, 7285, 3160, 563, 268, 28546, 4226, 5958, 6512, 1432, 6060, 798, 596, 991, 593, 707, 1985, 1449, 547, 6318, 707, 3328, 547, 513, 476, 3445, 286, 3371, 781, 835, 1259, 540, 3257, 713, 32465, 1729, 3328, 476, 3445, 267, 649, 991, 476, 275, 1449, 8464, 540, 476, 3445, 1142, 815, 476, 11740, 2798, 269, 634, 2698, 1297, 540, 2798, 602, 596, 723, 865, 2484, 568, 1175, 476, 8660, 1341, 476, 10436, 266, 476, 9262, 815, 476, 26783, 269, 1924, 1862, 1729, 1205, 476, 11740, 2798, 267, 593, 707, 2063, 1449, 596, 991, 547, 1118, 513, 1496, 476, 11740, 910, 476, 26783, 9948, 815, 476, 7176, 1547, 476, 273, 563, 268, 3794, 523, 1723, 324, 519, 3384, 1126, 476, 1001, 271, 763, 7330, 12283, 17979, 2488, 596, 609, 1224, 1569, 547, 519, 5399, 779, 5817, 5399, 3758, 269, 1411, 616, 519, 4357, 28203, 8227, 543, 723, 519, 7330, 12283, 630, 528, 20231, 264, 17979, 593, 519, 5399, 602, 786, 581, 1031, 538, 519, 5137, 540, 519, 1599, 269, 634, 7330, 12283, 17979, 2488, 596, 609, 1224, 1569, 547, 519, 5399, 779, 5817, 5399, 3758, 563, 268, 589, 12016, 568, 12570, 513, 20169, 945, 568, 476, 1626, 32162, 2025, 269, 799, 540, 519, 1739, 4681, 306, 3008, 910, 5999, 543, 12226, 910, 31351, 3988, 267, 891, 590, 3008, 19877, 5999, 723, 1044, 2966, 16887, 547, 1205, 596, 31235, 609, 519, 2470, 540, 2055, 596, 949, 7237, 1282, 707, 954, 341, 269, 1215, 547, 14574, 4632, 547, 581, 9268, 676, 519, 674, 3918, 304, 5650, 888, 268, 717, 2088, 530, 12291, 782, 1919, 7223, 476, 1001, 275, 1770, 476, 272, 31800, 1695, 1134, 267, 538, 1164, 1153, 649, 2811, 6026, 602, 649, 666, 6961, 1079, 12730, 547, 581, 21412, 1210, 835, 540, 1346, 2947, 7355, 281, 590, 7704, 267, 590, 3008, 267, 589, 6347, 267, 589, 3008, 543, 670, 299, 269, 1809, 594, 6415, 11842, 281, 4595, 952, 513, 6906, 568, 21412, 267, 3388, 568, 21412, 630, 10175, 519, 3259, 540, 15627, 267, 1199, 2103, 267, 3092, 2483, 268, 595, 338, 8618, 322, 1567, 29764, 736, 5999, 8058, 4267, 269, 7726, 476, 272, 1547, 590, 7838, 12717, 312, 1547, 476, 4968, 7643, 1547, 7797, 606, 3390, 1547, 1627, 269, 1535, 284, 586, 284, 7994, 476, 273, 4267, 269, 2626, 5079, 4429, 268, 476, 276, 4343, 1714, 334, 562, 9346, 454, 268, 32374, 4018, 339, 7879, 5619, 454, 268, 2098, 974, 642, 1091, 331, 1110, 655, 454, 268, 2622, 29659, 812, 1592, 476, 1708, 271, 454, 268, 30482, 18109, 8440, 454, 268, 1215, 547, 1628, 513, 11080, 26099, 476, 1708, 271, 454, 268, 11068, 2540, 2413, 3032, 5127, 454, 268, 1215, 547, 3247, 1490, 1393, 3196, 4323, 593, 9486, 7746, 454, 268, 7046, 341, 335, 333, 24440, 522, 2246, 327, 454, 268, 12213, 22269, 2699, 12627, 27081, 1723, 520, 5862, 3009, 454, 268, 21582, 2692, 903, 512, 3518, 2401, 7484, 454, 306, 597, 12541, 1990, 18676, 5984, 2985, 476, 3374, 547, 476, 2412, 454, 295, 1068, 345, 6006, 4444, 610, 6133, 454, 298, 7176, 15922, 517, 564, 28957, 454, 1015, 546, 17763, 1360, 25861, 2318, 1101, 3210, 454, 1692, 786, 519, 2551, 540, 5017, 1689, 936, 519, 1101, 1906, 1296, 1138, 321, 1470, 454, 309, 760, 7746, 12981, 943, 656, 558, 4229, 454, 290, 1538, 528, 1944, 5491, 2626, 1883, 454, 27087, 1769, 323, 332, 6067, 2678, 4282, 454, 1708, 271, 536, 332, 342, 476, 20065, 328, 16538, 4778, 3849, 321, 585, 669, 4435, 1504, 454, 3199, 277, 27047, 842, 2495, 313, 523, 334, 1695, 575, 30663, 30298, 2599, 0, 273, 526, 269, 11270, 2296, 454, 277, 2904, 476, 1960, 277, 454, 763, 5020, 540, 519, 4279, 5261, 9956, 454, 2467, 616, 1082, 4589, 602, 616, 4922, 1224, 269, 1717, 267, 9039, 616, 811, 24080, 1224, 543, 6594, 982, 519, 1390, 5261, 9956, 540, 519, 3735, 476, 1626, 628, 543, 2038, 476, 1704, 628, 5553, 269, 3571, 4249, 543, 9954, 723, 6410, 6634, 540, 1004, 267, 796, 334, 1553, 6053, 4758, 1864, 519, 1134, 17393, 5703, 2140, 540, 519, 6574, 540, 782, 5559, 520, 1235, 269, 9956, 568, 519, 4493, 585, 17284, 538, 7924, 543, 26974, 3740, 12644, 269, 4014, 12212, 14845, 547, 519, 5467, 267, 9956, 781, 960, 568, 513, 11100, 540, 31369, 10530, 543, 10565, 13602, 563, 6624, 3877, 540, 9956, 781, 6689, 538, 31854, 5112, 267, 4789, 616, 15877, 267, 855, 649, 798, 917, 513, 1906, 2101, 5013, 269, 3627, 9956, 267, 519, 4651, 540, 713, 16918, 5856, 729, 513, 834, 7921, 612, 540, 519, 18664, 965, 257, 630, 21886, 21840, 1412, 9834, 1070, 519, 2990, 7222, 547, 25650, 585, 519, 4884, 540, 31854, 5112, 269, 3571, 3993, 267, 6307, 1488, 6577, 267, 729, 513, 13956, 656, 540, 513, 3638, 267, 3504, 1920, 267, 543, 729, 519, 646, 328, 816, 547, 930, 2244, 269, 1358, 3893, 9310, 267, 3976, 3001, 3627, 543, 6307, 9956, 909, 513, 1900, 593, 519, 1514, 4336, 269, 8625, 267, 789, 16004, 5216, 1453, 267, 519, 3791, 543, 9510, 5067, 267, 5261, 9956, 729, 4535, 538, 476, 14444, 275, 267, 543, 789, 19071, 1242, 1864, 538, 31854, 5112, 5346, 517, 5025, 341, 517, 267, 2782, 342, 6506, 10921, 563, 763, 9956, 1920, 729, 711, 3638, 543, 4061, 1223, 711, 6488, 547, 6494, 741, 1453, 547, 513, 834, 1440, 10675, 1153, 2437, 543, 621, 568, 4122, 7608, 602, 519, 1453, 13984, 31854, 5112, 781, 18049, 3427, 563, 257, 19365, 781, 2069, 15538, 540, 6140, 5824, 2090, 630, 14048, 547, 1224, 267, 2328, 267, 543, 3717, 519, 1893, 3592, 2770, 1836, 1070, 543, 519, 1353, 540, 930, 540, 519, 5929, 12206, 267, 5837, 1235, 267, 543, 15023, 269, 2986, 1576, 267, 789, 849, 1185, 2596, 2979, 543, 2296, 267, 855, 782, 713, 729, 1152, 513, 8766, 2069, 267, 585, 621, 729, 10924, 602, 519, 1453, 1131, 979, 547, 519, 6280, 547, 3986, 741, 1702, 4724, 519, 2361, 540, 741, 3903, 257, 630, 19322, 24628, 476, 26562, 268, 22724, 1916, 19365, 9956, 267, 2705, 267, 1705, 711, 979, 547, 519, 6280, 267, 543, 3079, 6836, 1010, 1688, 693, 1272, 609, 1152, 519, 2069, 646, 4607, 693, 519, 2199, 8239, 1153, 269, 901, 26208, 1034, 12206, 282, 789, 1265, 621, 2182, 547, 3494, 602, 835, 609, 8766, 2069, 1223, 2328, 971, 13840, 4977, 4249, 269, 901, 3622, 2306, 721, 8263, 602, 646, 17329, 1153, 267, 543, 1705, 1134, 538, 621, 267, 855, 972, 616, 1100, 5638, 689, 519, 1153, 693, 9956, 781, 942, 563, 5475, 4271, 908, 689, 519, 31854, 5112, 18049, 3427, 693, 519, 2085, 540, 476, 1240, 267, 9956, 9310, 14732, 670, 987, 12537, 269, 1703, 616, 1100, 23053, 540, 875, 15516, 269, 670, 987, 12537, 543, 4429, 2414, 2070, 519, 2347, 1557, 267, 596, 1590, 6718, 621, 269, 0, 14257, 476, 1839, 267, 476, 1001, 278, 6440, 589, 2257, 3329, 2218, 1788, 267, 849, 1634, 607, 513, 2257, 4023, 1788, 267, 3340, 513, 2875, 547, 2307, 513, 2243, 267, 1106, 513, 8367, 267, 1449, 1010, 8367, 543, 1287, 1459, 519, 2164, 538, 2901, 513, 1957, 610, 4159, 1532, 13635, 1106, 585, 6514, 676, 519, 4116, 267, 8284, 1053, 543, 5924, 513, 3126, 540, 4140, 326, 2073, 3163, 15766, 2218, 5741, 593, 3600, 564, 821, 543, 853, 344, 19745, 27961, 454, 22546, 540, 3679, 4764, 593, 14680, 3329, 2218, 1788, 9105, 585, 3877, 6902, 7427, 7797, 676, 5775, 327, 592, 3333, 12609, 278, 3953, 279, 476, 275, 2395, 3516, 8298, 538, 547, 1039, 513, 6085, 454, 14257, 476, 2537, 267, 476, 1001, 279, 6440, 7756, 11762, 585, 15766, 2218, 18768, 2073, 16340, 5396, 585, 3329, 2218, 3785, 1331, 7350, 267, 7998, 267, 519, 1604, 267, 3618, 2257, 267, 6323, 267, 17651, 543, 4948, 1272, 4841, 1590, 1935, 513, 1966, 543, 1449, 606, 2856, 630, 1506, 13607, 4185, 1070, 1382, 519, 1888, 267, 2626, 2055, 543, 1589, 998, 519, 1641, 4586, 13356, 476, 1321, 267, 476, 1001, 273, 6440, 4841, 1419, 1265, 621, 2352, 547, 1376, 1818, 606, 3329, 2218, 1788, 1717, 267, 2921, 519, 3329, 2218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 661, 269, 19546, 543, 590, 269, 28857, 269, 2290, 6712, 540, 606, 22368, 3926, 666, 2270, 25923, 585, 519, 7020, 543, 21773, 3130, 540, 835, 540, 891, 14471, 267, 1247, 513, 2034, 1305, 540, 25923, 666, 581, 9859, 547, 7020, 543, 21773, 3130, 540, 1776, 2890, 6716, 1143, 540, 1719, 269, 901, 568, 12913, 267, 585, 1383, 267, 676, 1519, 2890, 6716, 1143, 10391, 5567, 543, 5924, 13525, 6878, 538, 519, 9757, 5036, 540, 5277, 3146, 8877, 25923, 269, 17968, 267, 782, 5277, 3146, 8877, 25923, 666, 2270, 22368, 556, 698, 757, 2966, 585, 519, 21800, 7020, 540, 2789, 14471, 269, 1280, 1383, 267, 661, 269, 19546, 666, 581, 9571, 609, 513, 24638, 13525, 6219, 1247, 267, 693, 519, 1482, 942, 267, 824, 897, 6134, 338, 616, 9571, 609, 267, 552, 3052, 1421, 513, 6985, 8328, 610, 824, 13525, 6219, 563, 8138, 2425, 550, 4255, 949, 581, 5342, 269, 1280, 1383, 267, 519, 25923, 666, 581, 6569, 689, 519, 3926, 543, 11843, 883, 513, 1449, 8546, 547, 16174, 519, 1808, 14471, 3395, 972, 517, 563, 1103, 1776, 20032, 267, 620, 1172, 1824, 540, 519, 5277, 1449, 3732, 666, 581, 7856, 547, 513, 32469, 540, 5277, 3146, 8877, 25923, 540, 606, 22368, 3926, 267, 13296, 519, 22368, 3926, 2882, 513, 32469, 540, 5036, 540, 25923, 269, 3962, 1305, 814, 25923, 540, 7833, 2450, 267, 543, 519, 3926, 814, 693, 2547, 1079, 5036, 540, 25923, 269, 1280, 1383, 267, 519, 22368, 3926, 666, 1331, 513, 32469, 540, 28961, 267, 609, 519, 5277, 3146, 8877, 25923, 538, 513, 1880, 26738, 2348, 519, 1482, 5277, 3146, 339, 1549, 19206, 269, 901, 4183, 2636, 585, 519, 3892, 540, 519, 5277, 1449, 3732, 883, 1114, 1449, 4320, 7306, 1369, 513, 2582, 22368, 3926, 269, 769, 12463, 301, 267, 713, 4183, 2488, 513, 1713, 5413, 538, 602, 267, 585, 513, 3810, 13671, 3732, 267, 606, 3617, 4320, 2450, 949, 581, 5697, 543, 12463, 301, 2079, 5340, 1210, 513, 2582, 3892, 1900, 538, 513, 2582, 3926, 1510, 519, 991, 585, 17626, 8920, 1903, 563, 20983, 269, 476, 278, 568, 513, 28176, 26841, 540, 835, 1062, 602, 949, 581, 1031, 538, 4276, 609, 16326, 543, 5924, 679, 10179, 908, 5697, 14471, 1459, 538, 519, 25923, 593, 519, 22368, 3457, 4330, 1657, 269, 898, 1058, 581, 6956, 602, 519, 1062, 949, 849, 581, 1031, 609, 824, 22368, 3457, 607, 1134, 1765, 1080, 946, 543, 5383, 616, 711, 8209, 3908, 547, 519, 946, 540, 14436, 1167, 22368, 3457, 607, 616, 4330, 1657, 563, 763, 1062, 476, 3583, 2882, 693, 2547, 835, 29835, 2707, 476, 7761, 267, 811, 23295, 1079, 610, 811, 2959, 476, 7761, 602, 3761, 519, 13590, 29835, 1648, 540, 5697, 20966, 547, 606, 22368, 3926, 476, 1015, 4092, 1369, 519, 7020, 12068, 476, 10619, 269, 634, 7020, 12068, 476, 10619, 568, 7361, 3989, 676, 693, 2547, 835, 3774, 476, 10602, 602, 267, 538, 835, 1106, 267, 949, 581, 3177, 538, 519, 3337, 540, 513, 1318, 9764, 12718, 269, 1403, 519, 7020, 12068, 476, 10619, 568, 711, 20425, 538, 3337, 267, 621, 949, 1331, 513, 32469, 540, 6821, 563, 763, 29835, 2707, 476, 7761, 949, 1491, 1022, 5078, 1106, 267, 3177, 519, 2707, 476, 7761, 32307, 6190, 1648, 538, 519, 29835, 20966, 2838, 585, 519, 22368, 3926, 476, 1015, 1373, 9268, 269, 1280, 1383, 267, 519, 2707, 476, 7761, 949, 12520, 22292, 1769, 2348, 513, 15423, 540, 476, 18458, 6289, 18852, 799, 949, 581, 3730, 585, 513, 1297, 540, 14806, 8328, 13525, 6878, 269, 634, 29835, 2707, 476, 7761, 949, 3132, 17396, 610, 1875, 18396, 6254, 30402, 26047, 545, 5982, 563, 763, 1062, 476, 3583, 849, 2882, 513, 18785, 476, 4281, 11231, 547, 3713, 13590, 5365, 1648, 19501, 689, 519, 22368, 3926, 476, 1015, 538, 3210, 547, 519, 13590, 29835, 1648, 269, 634, 18785, 476, 4281, 949, 581, 3177, 676, 1022, 5078, 3926, 610, 3457, 5827, 540, 16326, 519, 13590, 5365, 1648, 267, 1519, 267, 855, 711, 3908, 547, 513, 595, 7374, 8254, 267, 2584, 617, 1675, 525, 267, 3092, 563, 763, 3774, 476, 10602, 540, 519, 7020, 12068, 476, 10619, 568, 9112, 540, 2326, 602, 2992, 513, 1713, 6712, 540, 519, 13590, 29835, 1648, 10071, 972, 517, 269, 1635, 10452, 519, 29835, 1648, 3079, 540, 21716, 610, 23142, 621, 267, 519, 2179, 540, 1648, 8757, 519, 22368, 3926, 949, 581, 2799, 269, 6271, 5413, 568, 602, 519, 18759, 949, 1267, 538, 4824, 7833, 640, 538, 519, 8515, 540, 519, 29835, 269, 898, 949, 581, 9053, 602, 519, 3774, 476, 10602, 2992, 693, 2547, 827, 476, 3199, 260, 630, 16838, 811, 23295, 693, 2547, 827, 476, 3445, 8472, 540, 519, 13590, 29835, 1648, 10071, 972, 517, 630, 3602, 519, 1648, 568, 10071, 593, 519, 3774, 2059, 606, 7852, 3339, 547, 519, 3774, 2627, 1040, 769, 930, 8320, 621, 949, 581, 14909, 602, 519, 3774, 476, 10602, 711, 2992, 519, 13590, 5365, 1648, 547, 2057, 18759, 540, 971, 1648, 689, 8757, 519, 18785, 476, 4281, 269, 6270, 1648, 949, 267, 3079, 581, 12842, 610, 10299, 856, 540, 519, 7020, 12068, 476, 10619, 563, 5472, 8100, 543, 12326, 11855, 23954, 616, 2769, 569, 11368, 23954, 676, 4704, 538, 741, 30810, 883, 713, 23930, 269, 16503, 13577, 12589, 9323, 540, 713, 8798, 616, 5941, 543, 4704, 814, 1044, 1500, 547, 2009, 7648, 1369, 519, 9165, 540, 713, 8798, 269, 1452, 543, 824, 7648, 543, 12381, 538, 519, 8798, 786, 581, 7805, 547, 1346, 9952, 538, 519, 1148, 1510, 8977, 532, 689, 519, 9165, 540, 713, 8798, 267, 543, 621, 1058, 581, 6956, 602, 713, 8798, 568, 711, 3908, 547, 519, 3879, 13577, 12589, 9323, 1305, 8521, 23954, 269, 22353, 267, 519, 8798, 568, 547, 581, 3908, 1152, 676, 519, 6811, 3177, 2630, 563, 268, 7151, 476, 272, 454, 11577, 20905, 609, 966, 8388, 15801, 730, 19045, 17183, 454, 763, 1739, 1806, 616, 6035, 547, 5351, 538, 1620, 540, 519, 1459, 8798, 543, 616, 711, 547, 581, 1526, 29471, 607, 12145, 519, 9165, 23476, 269, 28791, 6382, 8612, 267, 782, 2694, 543, 21159, 616, 676, 2597, 563, 27028, 12643, 550, 1167, 22368, 3457, 2348, 513, 11517, 18396, 730, 4496, 2627, 543, 5827, 540, 1373, 1031, 585, 519, 7020, 543, 21773, 3130, 540, 14471, 538, 513, 5277, 1449, 3732, 941, 9112, 607, 4330, 538, 713, 1383, 563, 288, 6656, 540, 10110, 550, 1875, 342, 8576, 1591, 592, 657, 545, 1570, 630, 29410, 6103, 476, 3445, 274, 267, 476, 271, 269, 7367, 2173, 332, 5394, 267, 476, 9692, 575, 8276, 273, 267, 5576, 548, 545, 615, 543, 5576, 340, 749, 267, 3223, 2940, 267, 715, 13034, 4700, 729, 22495, 730, 547, 513, 4874, 6856, 4670, 630, 305, 1410, 600, 968, 291, 892, 6931, 518, 267, 1234, 343, 600, 24793, 267, 4639, 9628, 267, 7629, 4700, 609, 606, 568, 5622, 551, 2643, 1035, 787, 17218, 270, 659, 787, 4594, 728, 630, 9834, 270, 275, 2597, 5223, 264, 2604, 6213, 23287, 630, 4916, 288, 1040, 8562, 983, 25923, 630, 279, 2173, 332, 538, 8006, 264, 941, 1287, 2759, 883, 519, 12015, 22495, 622, 1210, 513, 6417, 3178, 5884, 602, 2759, 1152, 998, 519, 1875, 342, 8576, 1570, 543, 23287, 6106, 269, 634, 1875, 1673, 4593, 1570, 729, 1287, 6569, 689, 519, 22495, 622, 543, 23987, 269, 10783, 344, 25923, 941, 5402, 22019, 539, 689, 519, 4670, 609, 3196, 1186, 543, 11843, 547, 513, 476, 10755, 2173, 332, 9943, 12893, 2173, 332, 6656, 540, 476, 273, 2173, 559, 630, 271, 269, 4962, 2173, 332, 264, 5394, 4874, 6856, 4670, 630, 22706, 18904, 476, 273, 269, 271, 27946, 8125, 2135, 670, 277, 294, 270, 271, 267, 13019, 4592, 559, 4139, 7433, 267, 27619, 267, 715, 28629, 4700, 547, 1106, 606, 476, 279, 9943, 276, 5044, 540, 9764, 25923, 609, 5111, 476, 274, 268, 276, 6515, 1063, 25923, 563, 288, 476, 10755, 2173, 332, 9943, 12893, 2173, 332, 6656, 540, 536, 807, 343, 6053, 15129, 25168, 1886, 22005, 4670, 630, 271, 269, 6860, 2173, 332, 5394, 267, 476, 274, 300, 3213, 4700, 729, 1287, 740, 22363, 609, 5595, 6529, 11746, 547, 519, 1167, 20933, 6316, 540, 519, 5377, 6656, 547, 4196, 607, 513, 6227, 18694, 585, 519, 3926, 269, 634, 3926, 729, 5116, 593, 513, 6366, 4831, 543, 513, 3774, 17549, 16945, 729, 18202, 936, 519, 6806, 6227, 18694, 547, 2046, 519, 25923, 1996, 519, 5377, 6656, 269, 634, 4611, 5494, 27620, 476, 272, 288, 267, 513, 13354, 3926, 2348, 1100, 11517, 18396, 730, 4496, 2627, 267, 729, 1031, 585, 24638, 5365, 20241, 538, 7151, 476, 273, 563, 5194, 1167, 3926, 729, 5423, 607, 4330, 585, 5494, 27620, 476, 272, 288, 267, 4849, 602, 538, 1747, 540, 519, 6103, 18904, 476, 273, 269, 271, 27946, 8125, 2135, 4874, 6856, 4670, 729, 2655, 21114, 476, 278, 2173, 559, 630, 271, 269, 1240, 2173, 332, 264, 5394, 4874, 6856, 4670, 630, 274, 300, 3213, 1421, 853, 269, 6754, 267, 3687, 333, 4700, 602, 729, 11517, 22862, 609, 606, 6059, 476, 3583, 547, 476, 5611, 16354, 540, 11956, 4496, 593, 519, 2427, 547, 799, 519, 25923, 941, 740, 22363, 269, 634, 4611, 3926, 267, 11280, 5494, 27620, 476, 272, 289, 543, 2348, 513, 11517, 22862, 4496, 2627, 267, 729, 3379, 609, 5494, 27620, 476, 272, 288, 538, 7151, 476, 273, 563, 11577, 22368, 3457, 585, 946, 538, 519, 7020, 540, 14471, 941, 9112, 607, 5205, 269, 589, 6656, 540, 10110, 550, 1875, 342, 8576, 1591, 592, 657, 545, 1570, 630, 291, 1410, 614, 6103, 476, 9083, 4905, 267, 476, 271, 269, 25870, 2173, 332, 5394, 267, 476, 4366, 269, 276, 575, 8276, 273, 667, 1410, 614, 6348, 342, 990, 839, 267, 654, 1231, 528, 700, 4169, 267, 1230, 333, 4700, 729, 22495, 730, 547, 513, 4874, 6856, 4670, 630, 305, 1410, 600, 968, 291, 892, 6931, 518, 264, 607, 4330, 1657, 267, 4849, 602, 519, 1570, 729, 15459, 609, 606, 25694, 26185, 5627, 519, 2208, 5567, 543, 13525, 6464, 7396, 538, 7305, 476, 272, 543, 12015, 1991, 547, 561, 8727, 269, 8562, 983, 25923, 630, 279, 2173, 332, 538, 8006, 264, 941, 1287, 2759, 883, 519, 12015, 22495, 622, 1210, 513, 6417, 3178, 5884, 602, 2759, 1152, 998, 519, 1875, 342, 8576, 1570, 543, 23287, 6106, 269, 634, 1875, 1673, 4593, 1570, 729, 1287, 6569, 689, 519, 22495, 622, 543, 23987, 269, 28238, 850, 3196, 1186, 941, 1287, 1031, 547, 22019, 476, 1428, 25923, 689, 519, 3926, 543, 519, 25923, 941, 11843, 547, 513, 476, 10755, 2173, 332, 9943, 12893, 2173, 332, 5377, 6656, 540, 4874, 6856, 4670, 630, 271, 269, 1321, 2173, 332, 5394, 267, 476, 274, 300, 3213, 1421, 853, 269, 6754, 267, 3687, 333, 4700, 538, 513, 476, 274, 676, 476, 276, 8901, 4806, 609, 5111, 476, 272, 4699, 1063, 25923, 269, 589, 476, 10755, 2173, 332, 9943, 12893, 2173, 332, 6656, 540, 536, 807, 343, 6053, 15129, 25168, 1886, 22005, 4670, 630, 271, 269, 6860, 2173, 332, 5394, 267, 476, 274, 300, 3213, 4700, 729, 1287, 740, 22363, 609, 5595, 6529, 11746, 547, 519, 1167, 20933, 6316, 540, 519, 5377, 6656, 547, 4196, 607, 513, 6227, 18694, 585, 519, 3926, 269, 634, 3926, 729, 5116, 593, 513, 6366, 4831, 543, 513, 3774, 17549, 16945, 729, 18202, 936, 519, 6806, 6227, 18694, 547, 2046, 519, 25923, 1996, 519, 5377, 6656, 563, 268, 7151, 476, 273, 454, 9288, 5501, 618, 540, 12071, 2803, 1417, 28686, 689, 5494, 20905, 454, 763, 4611, 3926, 267, 513, 13354, 3926, 2348, 1100, 11517, 18396, 730, 4496, 2627, 267, 729, 11280, 5494, 27620, 476, 272, 290, 543, 729, 1031, 585, 519, 7020, 540, 4551, 607, 4330, 538, 7151, 476, 274, 269, 6271, 1167, 3926, 729, 5423, 607, 4330, 585, 5494, 27620, 476, 272, 290, 267, 4849, 602, 538, 1747, 540, 519, 476, 271, 269, 1321, 2173, 332, 5394, 4874, 6856, 4670, 729, 2655, 21114, 476, 278, 2173, 559, 630, 271, 269, 1240, 2173, 332, 264, 5394, 4874, 6856, 4670, 630, 274, 300, 3213, 4700, 602, 729, 11517, 22862, 609, 11956, 4496, 607, 4330, 1657, 593, 519, 2427, 547, 799, 519, 25923, 941, 740, 22363, 269, 634, 4611, 3926, 267, 11280, 5494, 27620, 476, 272, 291, 543, 2348, 513, 11517, 22862, 4496, 2627, 267, 729, 3379, 609, 5494, 27620, 476, 272, 290, 538, 7151, 476, 274, 269, 5637, 5494, 20905, 476, 272, 290, 543, 476, 272, 291, 941, 18325, 23735, 7007, 547, 513, 1377, 540, 827, 476, 1015, 737, 294, 344, 1354, 946, 538, 7151, 476, 274, 563, 30106, 21764, 476, 272, 11406, 347, 15253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1007, 1505, 814, 1044, 2919, 547, 1118, 5061, 2048, 338, 3405, 614, 685, 1210, 29113, 865, 789, 786, 581, 811, 2500, 693, 8757, 741, 3077, 563, 14722, 689, 519, 2160, 540, 12493, 267, 5177, 267, 723, 25282, 513, 1007, 4480, 547, 2048, 1372, 14585, 622, 685, 4154, 20543, 609, 513, 3940, 540, 3903, 865, 789, 666, 581, 1031, 547, 20688, 3075, 547, 811, 8308, 3077, 606, 1858, 593, 519, 1560, 267, 971, 607, 513, 2860, 6084, 712, 563, 20112, 20543, 616, 21384, 1500, 540, 4154, 8444, 2348, 513, 8006, 540, 1152, 1906, 5479, 2195, 540, 513, 25451, 799, 666, 581, 22862, 609, 513, 6211, 3940, 543, 5916, 609, 5061, 547, 5512, 519, 2126, 547, 2951, 998, 519, 1560, 543, 3914, 519, 4299, 1858, 563, 763, 20543, 666, 2048, 6758, 12643, 685, 630, 3835, 593, 922, 2627, 264, 5061, 799, 1131, 6382, 1831, 1202, 20107, 610, 3533, 31358, 538, 519, 1973, 6908, 267, 543, 1813, 547, 741, 1507, 2450, 789, 666, 7753, 6211, 7496, 971, 607, 17011, 267, 2960, 543, 519, 1507, 16892, 799, 1131, 2356, 2061, 519, 3075, 689, 8757, 922, 3077, 563, 763, 2029, 568, 2907, 1031, 538, 1483, 1158, 3156, 971, 607, 6379, 4255, 1107, 1141, 4154, 20543, 21243, 609, 606, 17193, 1996, 519, 9449, 1459, 538, 519, 10729, 540, 9176, 2021, 568, 3773, 547, 519, 2048, 27168, 685, 14816, 865, 621, 23465, 609, 519, 20543, 547, 2490, 519, 6529, 2699, 1107, 855, 568, 711, 2943, 4922, 1031, 538, 3075, 1646, 563, 29128, 1631, 519, 1184, 540, 15098, 519, 20543, 5921, 602, 519, 5946, 1031, 1185, 547, 581, 2048, 332, 12089, 685, 1927, 609, 5536, 799, 798, 711, 723, 519, 2702, 547, 1852, 519, 1259, 789, 12622, 267, 7654, 1818, 519, 3075, 1447, 2500, 269, 634, 1007, 1505, 6087, 14278, 5505, 547, 1747, 519, 5946, 5196, 519, 4154, 20543, 4494, 676, 4494, 538, 513, 1808, 1931, 269, 901, 15387, 519, 8699, 540, 519, 3940, 865, 602, 519, 3075, 568, 811, 2500, 267, 6679, 909, 7399, 585, 519, 1646, 540, 6289, 558, 14037, 710, 563, 763, 4681, 723, 1044, 3370, 538, 519, 4760, 7186, 18058, 563, 7804, 2037, 878, 334, 12113, 337, 926, 267, 513, 6289, 11893, 27370, 6048, 689, 519, 2160, 540, 12493, 779, 3427, 540, 5020, 7070, 267, 3366, 519, 1353, 269, 1261, 1767, 281, 968, 20112, 20543, 616, 513, 4105, 1907, 538, 1007, 3075, 1646, 543, 3075, 6765, 1949, 269, 1284, 723, 12260, 539, 519, 1883, 547, 11006, 5946, 543, 6675, 865, 602, 1346, 5061, 786, 581, 811, 2500, 563, 22154, 1505, 1522, 948, 547, 1374, 6289, 558, 14037, 1149, 602, 798, 711, 991, 3573, 3114, 14842, 540, 513, 3940, 3075, 610, 513, 24519, 21307, 8175, 543, 4061, 666, 581, 2919, 811, 3362, 543, 5488, 3034, 12867, 3576, 15998, 540, 5946, 689, 4551, 543, 6366, 19095, 267, 799, 950, 535, 4310, 1927, 941, 2500, 693, 11006, 547, 519, 4154, 17560, 14835, 2627, 543, 2111, 547, 1106, 7123, 7554, 547, 1022, 824, 3940, 563, 3528, 11544, 713, 12760, 3940, 609, 4154, 20543, 267, 621, 18385, 25907, 547, 519, 4154, 2627, 1247, 849, 1373, 2111, 547, 588, 2406, 12622, 513, 3077, 3940, 593, 799, 513, 1808, 2048, 32002, 685, 729, 3769, 563, 1607, 568, 513, 1007, 8471, 1505, 547, 12622, 5946, 547, 20543, 799, 786, 960, 585, 1034, 5946, 267, 1818, 519, 1184, 513, 811, 10694, 19175, 585, 14453, 3549, 267, 519, 3173, 1767, 269, 634, 1505, 1223, 849, 5732, 581, 4294, 547, 19777, 839, 832, 543, 10368, 20164, 602, 946, 4154, 267, 971, 607, 1346, 1031, 538, 4791, 5468, 547, 2697, 5571, 5563, 538, 2550, 685, 1973, 563, 9596, 811, 281, 15089, 558, 14037, 710, 281, 24391, 666, 581, 1500, 2048, 338, 3405, 614, 20371, 763, 26257, 593, 281, 12829, 5061, 454, 16129, 5616, 5240, 454, 763, 26257, 593, 281, 12829, 5061, 454, 303, 559, 582, 1353, 9060, 968, 8243, 691, 3075, 892, 589, 1457, 718, 814, 3908, 2640, 585, 2635, 1053, 267, 543, 949, 2800, 2324, 3965, 454, 517, 4864, 476, 1626, 267, 476, 1001, 279, 693, 476, 273, 281, 4375, 993, 454, 1805, 574, 592, 1218, 2139, 593, 13310, 971, 607, 1520, 1457, 718, 2087, 5042, 8647, 607, 1134, 607, 3007, 538, 1004, 609, 11838, 267, 855, 1082, 1053, 1510, 713, 2783, 849, 1491, 873, 267, 18468, 602, 555, 1862, 20965, 2171, 991, 547, 1205, 5100, 1586, 547, 2232, 4182, 781, 3075, 1966, 454, 517, 4864, 476, 1428, 267, 476, 1001, 279, 693, 476, 274, 281, 5881, 10681, 454, 1103, 476, 1001, 278, 267, 30374, 4937, 11518, 590, 32268, 20328, 519, 15525, 10029, 779, 12829, 593, 17235, 3609, 543, 3576, 721, 1394, 547, 519, 8959, 4507, 540, 519, 476, 2735, 271, 338, 543, 519, 865, 10777, 968, 8705, 593, 5061, 1848, 769, 519, 15525, 1520, 1862, 20965, 27319, 14313, 281, 10684, 14992, 5288, 269, 519, 12280, 6755, 531, 1399, 454, 517, 4864, 476, 1691, 267, 476, 1001, 279, 693, 476, 276, 281, 3953, 10681, 454, 4407, 621, 949, 2408, 968, 332, 528, 958, 29737, 267, 1256, 27337, 4328, 3267, 602, 513, 1480, 1373, 1058, 2661, 610, 5884, 1759, 593, 519, 11553, 4145, 540, 513, 2754, 5215, 540, 5195, 2476, 2223, 621, 568, 519, 2013, 602, 3864, 3075, 3129, 1862, 20965, 763, 7849, 7261, 3380, 813, 568, 9141, 676, 513, 5100, 5690, 602, 8308, 7851, 513, 4807, 781, 3232, 12680, 454, 517, 4864, 476, 1724, 267, 476, 1001, 279, 693, 476, 277, 281, 6246, 993, 454, 4306, 8016, 298, 295, 5357, 300, 267, 4119, 269, 476, 1724, 267, 476, 1001, 279, 1315, 11266, 6124, 1873, 790, 270, 4534, 7849, 7261, 3380, 2221, 9307, 602, 922, 3498, 585, 1546, 8734, 334, 8760, 607, 513, 4147, 4083, 2564, 3926, 814, 1044, 11292, 676, 519, 2136, 2276, 630, 4785, 264, 5253, 543, 3267, 20965, 27319, 769, 15595, 619, 24391, 543, 14992, 3194, 476, 1708, 273, 454, 517, 4864, 476, 1015, 267, 476, 1001, 279, 693, 476, 273, 281, 4029, 993, 454, 303, 2317, 267, 3127, 267, 476, 1015, 628, 4864, 476, 1001, 279, 281, 29216, 294, 8500, 11847, 2176, 9307, 1840, 540, 1007, 1867, 267, 11331, 968, 27319, 769, 15595, 619, 10369, 3194, 7797, 268, 6820, 5983, 4751, 547, 476, 1708, 273, 6100, 12829, 769, 15595, 619, 616, 513, 851, 540, 1007, 2085, 3059, 751, 1862, 20965, 5591, 767, 24391, 543, 12829, 20905, 585, 28614, 15136, 267, 476, 10711, 271, 1107, 10312, 593, 8330, 8676, 267, 30189, 543, 7261, 10973, 17316, 15727, 454, 517, 4864, 476, 1015, 267, 476, 1001, 279, 693, 476, 1321, 281, 1428, 993, 454, 291, 889, 4802, 267, 4119, 269, 476, 1015, 267, 476, 1001, 279, 630, 21923, 15477, 292, 21832, 14684, 296, 3918, 264, 2443, 634, 968, 5591, 767, 24391, 543, 12829, 20905, 585, 28614, 15136, 267, 476, 1001, 279, 268, 10711, 271, 892, 1867, 814, 1044, 3773, 547, 3194, 4517, 15812, 1115, 2593, 779, 5356, 269, 634, 23397, 24391, 543, 12829, 3267, 20965, 5591, 767, 24391, 543, 12829, 20905, 585, 28614, 15136, 267, 476, 1001, 279, 268, 736, 910, 530, 626, 341, 2593, 910, 12052, 267, 3162, 10491, 454, 517, 4864, 476, 280, 267, 476, 1001, 279, 693, 476, 276, 281, 876, 10681, 454, 763, 834, 5591, 767, 24391, 543, 12829, 20905, 585, 28614, 15136, 267, 476, 1001, 279, 268, 10711, 271, 257, 1867, 814, 1044, 3773, 547, 3194, 4517, 15812, 1115, 2593, 781, 5356, 269, 634, 23397, 24391, 543, 12829, 20905, 585, 28614, 15136, 267, 476, 1001, 279, 268, 273, 1862, 20965, 763, 12829, 10684, 454, 517, 4864, 476, 277, 267, 476, 1001, 279, 693, 476, 277, 281, 6734, 10681, 454, 303, 1571, 616, 1031, 547, 1521, 2175, 267, 711, 547, 2087, 2635, 1004, 269, 6282, 553, 270, 13914, 18450, 19415, 547, 9210, 28964, 476, 272, 267, 30588, 540, 6215, 622, 779, 634, 717, 626, 281, 6215, 622, 9578, 2818, 281, 5192, 707, 740, 6954, 15264, 3049, 269, 22339, 1047, 618, 5903, 1862, 20965, 17471, 10684, 1673, 601, 6116, 12829, 30346, 10369, 5983, 4751, 5811, 476, 1708, 274, 1107, 5440, 24812, 616, 7167, 810, 309, 1707, 267, 9717, 24919, 267, 2405, 22015, 7879, 590, 6993, 543, 4033, 454, 517, 4864, 476, 274, 267, 476, 1001, 279, 693, 476, 1321, 281, 6078, 993, 454, 288, 1007, 2344, 1353, 267, 11331, 968, 17471, 10684, 1673, 601, 6116, 12829, 30346, 10369, 676, 13583, 20445, 267, 3204, 687, 267, 7392, 543, 13335, 267, 5983, 4751, 547, 476, 1708, 274, 5608, 814, 1044, 12286, 593, 29216, 294, 8500, 11847, 2176, 269, 769, 713, 1867, 267, 519, 2518, 667, 1862, 20965, 16129, 29078, 5240, 0, 8170, 1576, 26725, 3123, 713, 1004, 15069, 1205, 5208, 689, 26725, 950, 1775, 729, 2370, 2486, 729, 12863, 267, 855, 1631, 1250, 2370, 7015, 568, 18644, 543, 17400, 532, 693, 519, 2085, 540, 3670, 713, 3085, 1405, 4755, 538, 1250, 2777, 267, 855, 3025, 6487, 1141, 646, 4991, 621, 689, 519, 26725, 811, 15294, 619, 616, 8345, 1317, 540, 519, 2093, 789, 1294, 593, 26725, 269, 589, 3152, 4656, 540, 519, 3390, 540, 3662, 28877, 666, 581, 11911, 547, 8613, 546, 341, 332, 1107, 968, 1492, 1483, 3734, 3662, 28877, 543, 1920, 5208, 269, 20587, 720, 540, 22988, 945, 3494, 26725, 5208, 2337, 1397, 602, 26725, 5208, 568, 513, 13680, 3815, 538, 1483, 585, 6219, 6057, 607, 3989, 269, 27657, 5208, 543, 17814, 6057, 602, 2882, 2168, 5208, 543, 14699, 12572, 6408, 1436, 593, 8613, 543, 1483, 1158, 4250, 563, 22137, 1397, 602, 5208, 593, 8613, 1281, 789, 723, 513, 2352, 942, 1114, 11868, 1063, 1018, 568, 1483, 5208, 593, 26725, 543, 875, 621, 666, 1860, 269, 8422, 5686, 540, 1382, 3095, 10795, 3381, 3756, 547, 2799, 14699, 1101, 267, 972, 616, 2090, 602, 1413, 585, 21374, 1063, 4598, 547, 891, 3756, 543, 1483, 8996, 14699, 269, 634, 2034, 851, 540, 519, 1353, 1336, 602, 585, 519, 1296, 476, 1960, 277, 547, 476, 1001, 272, 267, 519, 4616, 540, 10795, 3381, 3756, 729, 11201, 569, 1644, 547, 6107, 5208, 6107, 5208, 8519, 1282, 519, 476, 1428, 4458, 1353, 1974, 5103, 1164, 2157, 540, 2923, 5208, 538, 2486, 269, 634, 1764, 540, 26725, 5208, 593, 1453, 543, 10708, 26007, 666, 2014, 964, 31731, 1436, 547, 5208, 616, 538, 513, 1483, 3510, 602, 568, 2147, 563, 3891, 8283, 8613, 13588, 616, 811, 2693, 982, 1866, 547, 3494, 519, 1483, 1158, 568, 811, 540, 513, 2014, 7146, 910, 324, 977, 2078, 2360, 540, 13156, 26725, 5208, 593, 269, 3367, 519, 513, 2378, 335, 781, 2990, 1957, 593, 5208, 538, 519, 2923, 543, 922, 538, 519, 2923, 543, 1483, 3734, 14699, 543, 5208, 3459, 8613, 5208, 563, 300, 4215, 5208, 2360, 543, 10795, 6760, 2014, 540, 14699, 543, 10795, 2623, 814, 1044, 835, 540, 519, 6760, 538, 519, 1483, 1158, 269, 1452, 616, 1271, 2055, 952, 972, 2731, 941, 513, 2312, 2014, 7146, 13716, 2078, 1063, 1018, 3339, 1453, 1294, 593, 26725, 543, 5739, 3527, 267, 1287, 7182, 593, 971, 4082, 1522, 24903, 581, 11562, 5896, 6343, 519, 2090, 1397, 13231, 625, 593, 519, 2078, 1063, 2923, 5208, 543, 1483, 5208, 616, 519, 1641, 540, 9645, 269, 20222, 949, 2014, 2168, 1928, 547, 1346, 945, 1995, 621, 2047, 267, 607, 1134, 607, 3929, 11605, 547, 1346, 945, 2901, 1995, 610, 7198, 621, 2043, 267, 3885, 267, 3506, 267, 28737, 267, 2950, 267, 2486, 267, 543, 563, 8448, 3173, 8044, 602, 621, 568, 519, 12214, 2360, 540, 2923, 5208, 602, 2014, 10728, 7180, 4598, 547, 10795, 11052, 568, 5532, 547, 2799, 2295, 2557, 267, 5488, 19344, 543, 2362, 1973, 2604, 930, 1589, 602, 713, 20533, 968, 325, 697, 11399, 1922, 2775, 892, 3210, 19753, 5099, 1004, 547, 957, 26490, 1947, 538, 519, 1483, 1158, 269, 5131, 8613, 5208, 1281, 711, 2014, 1483, 8996, 14699, 1482, 10795, 6411, 789, 7198, 593, 26725, 543, 693, 1753, 1453, 2887, 6408, 547, 6057, 543, 10714, 693, 269, 715, 322, 6342, 540, 5208, 2429, 519, 1158, 723, 3361, 1082, 7606, 547, 2307, 1946, 891, 1919, 616, 8345, 968, 6343, 3123, 971, 5208, 9232, 789, 1483, 5208, 543, 269, 769, 519, 1433, 5208, 593, 8613, 267, 7784, 614, 267, 554, 28207, 267, 543, 530, 344, 7719, 2328, 267, 968, 516, 701, 730, 13156, 540, 5208, 593, 8613, 949, 964, 31731, 1125, 519, 21951, 547, 1483, 3734, 5208, 2223, 950, 1004, 616, 6534, 547, 16625, 10795, 2592, 267, 5208, 814, 513, 14758, 1764, 593, 873, 563, 7197, 7855, 543, 2069, 3173, 543, 9439, 1131, 3858, 602, 1153, 5208, 14340, 689, 513, 2482, 1359, 540, 3123, 543, 1981, 2188, 602, 1331, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14427, 13851, 563, 268, 1473, 3233, 543, 26432, 28524, 281, 5606, 14518, 27178, 616, 3226, 3730, 538, 11255, 543, 7299, 8105, 1305, 5725, 269, 1452, 27178, 666, 581, 16419, 547, 1683, 519, 4998, 1769, 8552, 585, 1808, 7031, 267, 4180, 6099, 2208, 2175, 7488, 540, 519, 5007, 1604, 269, 901, 6087, 1032, 15778, 7693, 2504, 543, 6971, 13829, 593, 12119, 7648, 563, 268, 4826, 11094, 281, 2060, 1216, 20317, 4742, 513, 2101, 6161, 267, 5100, 6694, 2853, 616, 2629, 269, 5606, 14518, 27178, 5351, 538, 1216, 5726, 676, 5355, 519, 1216, 946, 4398, 540, 7031, 998, 6417, 2208, 543, 4389, 1216, 21381, 563, 763, 21992, 906, 543, 8892, 31326, 454, 763, 10073, 540, 18342, 27178, 538, 5100, 6683, 814, 1044, 3395, 28354, 267, 609, 519, 2518, 2344, 4397, 547, 3914, 513, 1871, 540, 1269, 276, 5479, 676, 476, 1708, 277, 267, 2687, 547, 2872, 7194, 269, 2060, 7760, 538, 10896, 2029, 267, 649, 666, 2503, 547, 1294, 1256, 811, 2640, 543, 7207, 538, 519, 2104, 269, 3371, 616, 930, 7760, 593, 519, 16880, 912, 268, 12829, 11576, 832, 16949, 281, 1635, 10128, 18342, 27178, 609, 5100, 8596, 267, 6705, 666, 5531, 1483, 6066, 1239, 593, 7693, 1072, 267, 3037, 7509, 267, 543, 2825, 2175, 269, 901, 1239, 12454, 1935, 6087, 5730, 3375, 6194, 267, 17306, 4199, 14305, 543, 20993, 2949, 7607, 563, 268, 29942, 4045, 2032, 281, 29942, 14479, 543, 5769, 540, 12085, 630, 31166, 264, 5867, 616, 13321, 519, 1259, 6683, 13333, 269, 5606, 14518, 27178, 666, 581, 16900, 7471, 883, 14164, 1949, 267, 3850, 585, 6552, 5464, 543, 1852, 540, 8654, 2175, 538, 6694, 1305, 5725, 269, 26478, 666, 1118, 11941, 543, 5386, 2389, 2317, 8654, 6724, 1510, 9308, 1373, 1459, 593, 519, 3484, 563, 268, 14464, 11106, 543, 10724, 4804, 281, 634, 4999, 540, 18342, 27178, 609, 5841, 4987, 543, 3684, 1565, 6620, 10741, 909, 1007, 7399, 538, 7693, 2359, 269, 1452, 4066, 666, 5659, 1239, 689, 18342, 8596, 543, 1683, 3407, 4030, 585, 20979, 2030, 2208, 267, 2068, 7020, 267, 543, 6556, 12605, 563, 763, 6206, 6875, 12537, 454, 14813, 14518, 27178, 616, 30507, 519, 2361, 540, 5100, 6683, 267, 5356, 6705, 13778, 1852, 936, 741, 7031, 262, 2208, 543, 1646, 269, 3245, 1648, 4398, 543, 8476, 15591, 547, 11641, 2359, 543, 1216, 5726, 267, 18342, 27178, 1683, 513, 21318, 540, 2640, 269, 634, 5610, 540, 5100, 8596, 267, 12616, 14479, 267, 543, 3642, 4066, 786, 1152, 2417, 24244, 891, 5383, 269, 2060, 519, 3395, 2518, 2551, 543, 519, 991, 547, 11694, 7693, 11729, 267, 519, 10073, 540, 18342, 27178, 568, 1305, 547, 865, 541, 269, 634, 2104, 540, 5100, 6683, 5654, 17321, 982, 2479, 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 ]
[ 290, 18456, 1040, 634, 3804, 540, 513, 8808, 1753, 568, 547, 2327, 7264, 4309, 3617, 1416, 1247, 4509, 15683, 543, 2298, 540, 1272, 780, 310, 895, 5004, 538, 16711, 23467, 454, 28598, 3080, 1898, 2460, 540, 8808, 1753, 1416, 568, 10138, 2359, 269, 1306, 1004, 2085, 267, 789, 1831, 811, 11630, 547, 2960, 7063, 971, 607, 2604, 21385, 630, 10193, 1634, 607, 5127, 810, 637, 264, 3361, 676, 12675, 1799, 984, 1006, 267, 11508, 267, 610, 1352, 2130, 4229, 269, 7743, 10138, 2359, 3322, 1896, 3268, 1384, 2162, 10495, 692, 763, 1101, 1900, 538, 5883, 513, 10138, 568, 10442, 922, 10335, 269, 16195, 4648, 19665, 16398, 1759, 593, 2188, 899, 2450, 267, 3178, 267, 543, 5160, 9525, 269, 589, 9488, 4879, 2337, 3313, 519, 1655, 2126, 1544, 543, 5849, 12905, 6304, 952, 8374, 8451, 780, 2162, 27686, 543, 1546, 1962, 728, 618, 692, 27662, 532, 519, 10138, 18788, 1022, 11935, 610, 4551, 602, 1223, 1291, 547, 3968, 269, 1546, 1962, 728, 618, 4016, 547, 9427, 4666, 5160, 1472, 519, 10138, 3135, 267, 5009, 7067, 269, 1703, 616, 1114, 2409, 585, 632, 1962, 728, 618, 267, 8151, 689, 1210, 7463, 10571, 902, 547, 10551, 5773, 5340, 676, 7189, 780, 2162, 667, 7675, 19139, 692, 24400, 519, 1318, 1826, 540, 19703, 5673, 593, 519, 3942, 543, 4087, 540, 519, 10138, 269, 7720, 626, 675, 3146, 339, 550, 633, 10571, 902, 1832, 519, 1858, 5848, 267, 8716, 1007, 1591, 2208, 543, 5488, 7067, 269, 674, 27961, 10571, 902, 10110, 12775, 543, 2149, 4478, 2635, 2960, 269, 10281, 10635, 3326, 6950, 1711, 513, 8825, 11064, 936, 5634, 16398, 1247, 21716, 5714, 5728, 687, 780, 2162, 10266, 6513, 692, 31572, 1928, 2404, 609, 10138, 1416, 568, 2629, 585, 4180, 17055, 4313, 1282, 5574, 269, 3683, 7308, 23716, 6527, 899, 21449, 3133, 641, 1156, 610, 13310, 1387, 2471, 923, 1522, 581, 1031, 4470, 593, 519, 1377, 540, 9636, 4810, 676, 519, 1367, 269, 6348, 14428, 29108, 1670, 7459, 971, 607, 11005, 2553, 543, 30411, 2994, 666, 849, 5351, 538, 4227, 9228, 1928, 780, 2162, 16424, 18776, 692, 19894, 5464, 2636, 3782, 7426, 547, 3950, 519, 10138, 781, 11144, 543, 4188, 2126, 4566, 9935, 269, 11790, 11117, 1282, 1246, 5346, 11564, 1331, 10138, 7516, 267, 4191, 540, 3968, 267, 11491, 1637, 5160, 5250, 267, 543, 2949, 6454, 538, 5920, 780, 1103, 3932, 267, 8808, 5321, 1404, 513, 4105, 1909, 538, 3246, 3102, 2564, 1416, 585, 11361, 4079, 8506, 6351, 609, 3232, 2238, 543, 1072, 2359, 269, 1635, 1620, 519, 2956, 540, 10138, 2359, 1369, 891, 6703, 267, 649, 666, 5660, 519, 10848, 3238, 538, 12391, 585, 10172, 6068, 3283, 543, 5431, 519, 11428, 2838, 676, 8808, 1753, 5234, 2818, 547, 2226, 6099, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 22324, 1613, 16711, 543, 29407, 4741, 568, 513, 1360, 2000, 1618, 8808, 1753, 4092, 538, 30215, 267, 12425, 269, 901, 9744, 729, 2016, 606, 5393, 4057, 2949, 12773, 1759, 593, 519, 1239, 649, 12290, 269, 2311, 519, 1439, 540, 519, 1554, 267, 596, 1131, 581, 1732, 1055, 547, 27464, 2312, 540, 713, 1747, 269, 5080, 29418, 267, 649, 941, 2111, 547, 2285, 713, 9744, 930, 2318, 5955, 585, 938, 24422, 7121, 267, 799, 596, 666, 1224, 811, 827, 2630, 563, 7476, 938, 1863, 552, 26247, 547, 1451, 782, 827, 707, 9972, 1416, 3681, 563, 306, 22324, 1613, 16711, 543, 29407, 4741, 454, 268, 16711, 5851, 454, 268, 15350, 5516, 454, 24993, 8734, 476, 272, 267, 476, 1708, 274, 676, 19162, 1234, 3150, 454, 7476, 14499, 543, 3877, 593, 30215, 9972, 2713, 3681, 269, 7476, 623, 878, 532, 454, 268, 20504, 338, 24310, 476, 272, 454, 268, 20504, 338, 27083, 476, 272, 454, 268, 3143, 595, 10135, 290, 454, 268, 13201, 1763, 1211, 7027, 454, 268, 3143, 7731, 7027, 454, 268, 1280, 7443, 910, 17290, 700, 6636, 2754, 454, 268, 24344, 15350, 5516, 454, 268, 5510, 619, 9869, 823, 454, 268, 5510, 619, 5403, 5025, 322, 1393, 5516, 454, 268, 5510, 619, 769, 18345, 23488, 454, 268, 9608, 5516, 454, 268, 2405, 1709, 5004, 454, 268, 5851, 10435, 454, 268, 16594, 10657, 454, 268, 853, 6593, 18401, 454, 268, 2549, 335, 1393, 324, 18401, 454, 268, 10001, 25095, 8438, 774, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 16711, 5851, 5516, 1315, 654, 895, 5004, 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, 8080, 547, 938, 3992, 827, 717, 21166, 5610, 609, 824, 5616, 8924, 256, 1411, 1522, 2907, 917, 875, 547, 6494, 543, 4309, 15737, 1210, 717, 21166, 267, 855, 1705, 596, 917, 602, 621, 666, 960, 1927, 609, 824, 3579, 2645, 286, 901, 4276, 2306, 5883, 707, 4247, 543, 16131, 1454, 4443, 543, 811, 6896, 269, 2913, 781, 4685, 883, 713, 9735, 4183, 2439, 5331, 2348, 513, 9589, 2232, 1433, 602, 8850, 10311, 950, 2576, 2242, 741, 3346, 9623, 1107, 5863, 267, 1318, 286, 4270, 267, 602, 781, 1018, 4523, 950, 596, 1921, 707, 717, 21166, 2272, 547, 5616, 2552, 9711, 256, 1879, 596, 4757, 2576, 1007, 267, 741, 3877, 616, 3773, 547, 707, 17066, 1592, 269, 1656, 952, 789, 9337, 741, 1344, 11992, 267, 621, 4991, 8242, 538, 707, 17066, 1932, 269, 1215, 16517, 568, 602, 2496, 3086, 1577, 781, 2911, 827, 5329, 3950, 540, 707, 11112, 1272, 609, 5616, 25038, 269, 1635, 10128, 621, 609, 707, 717, 21166, 267, 596, 666, 1294, 707, 16516, 2621, 7258, 707, 15737, 269, 9578, 267, 596, 666, 1711, 2621, 2786, 689, 707, 4607, 1045, 14591, 610, 1256, 23106, 538, 707, 15737, 256, 3143, 991, 547, 6467, 1063, 2789, 9486, 15042, 780, 3719, 7227, 267, 972, 781, 811, 256, 5620, 596, 2479, 16618, 1946, 596, 10710, 513, 1880, 3095, 610, 3758, 13613, 538, 606, 4757, 286, 2060, 717, 21166, 4448, 547, 5616, 5901, 267, 596, 666, 4688, 1346, 6402, 543, 6119, 607, 4967, 609, 1175, 513, 4945, 269, 5410, 10297, 267, 12400, 267, 610, 2638, 29812, 547, 873, 865, 596, 2760, 7340, 1946, 1945, 729, 1898, 780, 15563, 267, 1577, 803, 6338, 596, 547, 5616, 570, 3696, 269, 4045, 532, 621, 609, 707, 717, 21166, 1797, 596, 666, 4383, 707, 4247, 543, 21852, 16900, 1369, 707, 28600, 269, 8073, 4305, 8638, 267, 1305, 1813, 7389, 267, 543, 1665, 873, 2347, 2899, 8737, 269, 2353, 891, 2934, 786, 2490, 707, 717, 21166, 883, 513, 7607, 1379, 5264, 2439, 2080, 781, 513, 1187, 2534, 547, 3314, 3388, 649, 4121, 2221, 281, 5994, 596, 2811, 513, 19792, 12180, 707, 2013, 6119, 630, 655, 5661, 1070, 3346, 1592, 267, 10881, 630, 11386, 5901, 4967, 1070, 543, 547, 28273, 1592, 630, 339, 3696, 1040, 2422, 1483, 610, 1500, 5346, 2665, 547, 2259, 3001, 3688, 1472, 899, 513, 605, 19792, 269, 5457, 267, 3919, 5012, 547, 1967, 2439, 1103, 5758, 267, 8220, 717, 21166, 609, 824, 5616, 8924, 2337, 596, 3251, 6896, 676, 9256, 1585, 3344, 540, 2792, 267, 20319, 267, 543, 4305, 2359, 269, 2659, 3059, 1158, 3587, 23091, 267, 1818, 621, 4674, 1652, 547, 6330, 998, 4948, 2591, 269, 1924, 979, 6619, 267, 2285, 621, 513, 2119, 267, 543, 2972, 519, 2640, 540, 1373, 513, 2706, 268, 23457, 2875, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1655, 11706, 813, 538, 476, 1708, 273, 786, 581, 835, 602, 568, 3015, 689, 1022, 3926, 267, 568, 2688, 14184, 267, 543, 5348, 14369, 609, 782, 3593, 779, 3457, 269, 898, 786, 723, 606, 16022, 8818, 267, 543, 519, 3593, 8818, 540, 519, 813, 786, 581, 2973, 543, 1413, 1434, 563, 763, 1655, 11706, 813, 786, 723, 606, 2653, 547, 946, 8818, 543, 513, 17841, 1374, 269, 634, 1655, 11706, 813, 786, 849, 581, 2111, 547, 5348, 322, 609, 782, 3457, 563, 763, 1655, 11706, 813, 786, 581, 2111, 547, 948, 519, 3593, 1832, 3950, 540, 741, 8430, 267, 11401, 267, 20499, 267, 543, 2621, 269, 634, 1655, 11706, 813, 786, 849, 581, 2111, 547, 5348, 322, 609, 824, 8924, 607, 1134, 607, 824, 30300, 1513, 563, 763, 1655, 11706, 813, 786, 723, 930, 540, 519, 1739, 4162, 912, 268, 634, 1655, 11706, 813, 786, 581, 2241, 543, 2653, 547, 946, 563, 268, 634, 1655, 11706, 813, 786, 5348, 322, 609, 782, 824, 8924, 563, 268, 634, 1655, 11706, 813, 786, 723, 782, 1271, 1344, 827, 1142, 2680, 7396, 5693, 543, 13801, 569, 267, 609, 1100, 3063, 2770, 742, 563, 268, 634, 1655, 11706, 813, 786, 1331, 513, 4063, 4781, 585, 1142, 2680, 267, 2059, 609, 519, 2702, 547, 8936, 14039, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 21166, 16949, 609, 4033, 5616, 29393, 257, 607, 851, 540, 834, 28035, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 19478, 1849, 1801, 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, 13834, 7130, 568, 513, 24245, 3390, 602, 5170, 547, 20575, 7239, 2066, 519, 8608, 269, 898, 568, 3989, 607, 519, 15490, 2126, 540, 2043, 1759, 9003, 593, 741, 4008, 267, 1419, 4611, 538, 3908, 3255, 267, 21376, 2628, 267, 543, 824, 3029, 540, 8635, 269, 901, 1106, 540, 7130, 666, 581, 8763, 267, 971, 607, 950, 4031, 610, 4507, 1025, 520, 14688, 3870, 835, 4008, 936, 1776, 267, 610, 17697, 267, 998, 6848, 8155, 543, 6788, 602, 5705, 569, 19319, 1978, 25469, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 10848, 540, 4008, 7130, 267, 3695, 922, 1585, 19183, 267, 5817, 3123, 267, 543, 1761, 3435, 780, 2414, 2253, 267, 621, 781, 1898, 547, 1174, 519, 3140, 2796, 540, 4008, 7130, 269, 1280, 1454, 540, 1480, 1686, 267, 2021, 723, 1044, 2124, 326, 730, 547, 6281, 4567, 267, 609, 2367, 8066, 7158, 540, 1379, 543, 6392, 269, 901, 19261, 814, 8507, 538, 513, 30013, 2486, 1141, 2021, 941, 4397, 547, 11886, 2757, 5107, 971, 607, 1126, 516, 2130, 267, 4630, 655, 1136, 267, 543, 12391, 585, 1920, 2818, 269, 2755, 891, 9021, 616, 4105, 547, 1022, 2635, 2486, 267, 789, 1058, 711, 840, 2850, 2021, 689, 13197, 3872, 543, 4876, 3255, 3160, 547, 1346, 2139, 547, 2367, 780, 3080, 1858, 1141, 4008, 29373, 3788, 3226, 14733, 568, 538, 2069, 269, 6736, 3356, 2509, 4008, 7862, 538, 1082, 2694, 540, 519, 1158, 267, 6690, 1869, 3068, 1713, 7496, 547, 17034, 2298, 2069, 269, 4340, 547, 20648, 4659, 585, 10803, 267, 972, 616, 4867, 476, 9873, 2929, 6690, 856, 540, 1153, 267, 799, 1797, 789, 616, 17792, 741, 1318, 547, 2069, 269, 634, 4128, 585, 713, 7934, 4268, 4922, 4470, 593, 10923, 4087, 267, 2686, 4978, 267, 14227, 2188, 267, 543, 2797, 2916, 269, 1717, 267, 930, 1455, 2591, 5185, 676, 6690, 1331, 2038, 7365, 267, 4638, 5208, 267, 3668, 540, 7850, 19455, 6703, 267, 543, 25641, 8456, 2509, 4775, 2069, 780, 763, 1764, 540, 4008, 7130, 538, 2069, 11498, 2484, 3564, 1367, 2833, 282, 621, 849, 5540, 3003, 2950, 543, 6082, 269, 3194, 2982, 602, 18997, 6690, 5012, 547, 1732, 1072, 4093, 585, 3885, 267, 2799, 2804, 7607, 267, 4389, 6710, 2157, 267, 543, 4824, 10350, 269, 5047, 267, 13473, 2021, 616, 811, 2693, 547, 7119, 538, 3375, 6194, 3157, 693, 1753, 543, 538, 741, 2950, 267, 3056, 547, 811, 12581, 7239, 269, 4475, 267, 5466, 4008, 13103, 538, 2069, 1590, 2611, 513, 1283, 10862, 585, 14519, 267, 7855, 267, 543, 15156, 2324, 2509, 4008, 7862, 780, 307, 9506, 938, 3007, 547, 519, 4074, 2344, 267, 4008, 7130, 26251, 5103, 3656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 267, 950, 519, 2860, 814, 3262, 547, 824, 2694, 540, 519, 1560, 269, 4634, 950, 519, 6084, 2293, 723, 3262, 267, 519, 2068, 543, 922, 2589, 666, 1419, 581, 6417, 585, 1082, 1296, 269, 7490, 2638, 938, 3461, 2200, 543, 1249, 9212, 585, 811, 1344, 563, 2467, 616, 513, 1297, 540, 1114, 2010, 540, 715, 4953, 338, 543, 789, 782, 723, 513, 5594, 1114, 1259, 540, 9306, 2933, 267, 1312, 538, 2474, 540, 2589, 543, 875, 789, 1413, 896, 513, 17209, 4586, 763, 20803, 540, 715, 4953, 6084, 2293, 568, 6508, 689, 519, 26715, 1858, 689, 799, 789, 616, 1336, 538, 519, 1560, 543, 930, 616, 3957, 1759, 593, 519, 12880, 9449, 602, 789, 694, 4740, 563, 6701, 1703, 24110, 2986, 11671, 754, 18355, 570, 636, 832, 454, 8133, 267, 3782, 7426, 946, 513, 21249, 1062, 547, 1711, 707, 2126, 1544, 269, 1358, 2015, 2188, 971, 607, 875, 3533, 707, 29406, 2281, 7941, 543, 2436, 707, 29406, 2281, 1413, 811, 899, 2635, 2281, 982, 29406, 2281, 950, 9763, 896, 513, 17209, 269, 4197, 519, 588, 1645, 543, 21249, 1184, 1522, 581, 5363, 1344, 607, 596, 543, 707, 8502, 1865, 2126, 4566, 563, 1432, 616, 715, 4953, 338, 9344, 888, 268, 6103, 476, 272, 2433, 1452, 2281, 7941, 693, 513, 1970, 2557, 543, 616, 3395, 7444, 563, 268, 6103, 476, 273, 2433, 1452, 2281, 7941, 693, 606, 13591, 2557, 563, 268, 6103, 476, 274, 2433, 1452, 2281, 7941, 693, 513, 3728, 2557, 543, 4061, 1332, 3533, 563, 25892, 338, 616, 849, 11117, 676, 5232, 540, 15285, 269, 8409, 616, 912, 268, 4270, 1673, 27075, 7007, 5778, 754, 18355, 10510, 281, 2659, 2281, 1413, 811, 899, 2635, 2281, 982, 29406, 2281, 563, 268, 18648, 569, 1673, 27075, 7007, 5778, 754, 18355, 10510, 281, 2659, 2281, 1413, 1447, 899, 2635, 2281, 543, 811, 899, 29406, 2281, 269, 18648, 569, 1673, 27075, 7007, 2281, 616, 1287, 1016, 323, 22866, 883, 1507, 16052, 543, 1804, 16052, 10510, 5049, 563, 27775, 2105, 7335, 281, 12833, 5297, 667, 10631, 531, 595, 32555, 5448, 23213, 9435, 27834, 26162, 454, 26807, 11790, 18748, 1160, 3913, 2670, 1656, 9615, 18169, 454, 268, 634, 1826, 540, 2860, 1591, 563, 268, 7316, 519, 10510, 568, 1336, 538, 519, 18558, 563, 268, 6787, 519, 10510, 814, 3262, 547, 811, 982, 835, 1747, 538, 519, 18558, 610, 547, 824, 2694, 540, 519, 1560, 563, 268, 6787, 519, 3461, 814, 631, 2894, 272, 6794, 563, 268, 634, 3461, 779, 2085, 543, 2489, 1072, 563, 268, 6787, 519, 2860, 814, 1175, 1044, 8995, 610, 814, 9888, 1042, 4586, 17843, 9537, 2986, 623, 4545, 805, 545, 715, 1115, 5620, 7756, 20050, 1656, 12580, 454, 29819, 610, 2589, 666, 581, 3361, 676, 519, 2208, 540, 519, 10510, 543, 5924, 676, 10399, 519, 10510, 2306, 610, 676, 824, 2175, 269, 2368, 12970, 949, 711, 2014, 4191, 610, 2589, 269, 6744, 609, 707, 4387, 952, 596, 723, 1022, 540, 891, 2042, 563, 29819, 543, 2589, 540, 513, 1875, 1922, 23341, 25524, 715, 4953, 454, 288, 1875, 1922, 23341, 25524, 715, 4953, 949, 1332, 585, 513, 1279, 942, 1510, 4929, 4191, 610, 2589, 269, 898, 949, 1332, 1804, 610, 3262, 547, 824, 2694, 540, 519, 1560, 1354, 621, 3123, 4191, 610, 2589, 267, 971, 607, 912, 268, 589, 26686, 538, 519, 17737, 563, 268, 10266, 538, 519, 17737, 610, 1394, 563, 268, 14117, 532, 540, 519, 2960, 543, 16543, 540, 519, 4064, 563, 29819, 543, 2589, 540, 513, 6198, 25524, 715, 4953, 454, 763, 4191, 543, 2589, 540, 513, 6198, 25524, 715, 4953, 4096, 593, 519, 1826, 540, 9449, 1373, 1500, 563, 32451, 1454, 8819, 12541, 949, 2014, 912, 268, 853, 6729, 21385, 602, 1832, 4947, 1394, 563, 268, 10266, 538, 519, 17737, 267, 799, 949, 3262, 547, 519, 1394, 269, 634, 1928, 949, 2097, 543, 979, 543, 621, 949, 979, 2476, 1310, 2921, 606, 1884, 29403, 563, 268, 634, 2095, 540, 7181, 9115, 1394, 883, 519, 24647, 4586, 32451, 1454, 7378, 949, 2014, 912, 268, 8899, 1973, 4006, 269, 901, 666, 2014, 23324, 5075, 267, 15677, 267, 543, 4743, 1769, 20243, 267, 13110, 267, 4617, 267, 695, 21294, 267, 8401, 267, 8886, 762, 267, 17570, 344, 267, 11821, 267, 610, 17237, 563, 268, 16258, 26470, 563, 32451, 1454, 6722, 6782, 949, 2014, 912, 32451, 1454, 21729, 334, 5562, 15499, 26733, 949, 2014, 912, 32451, 1454, 1474, 520, 739, 11294, 949, 2014, 912, 268, 4400, 1973, 4006, 269, 901, 666, 2014, 14331, 267, 7928, 30614, 267, 3819, 2960, 543, 5023, 267, 610, 4743, 17237, 267, 19818, 344, 267, 13110, 267, 610, 4617, 563, 268, 14117, 532, 540, 519, 2960, 543, 16543, 540, 519, 4064, 563, 268, 13379, 2530, 585, 1100, 1634, 2601, 563, 10673, 1406, 7323, 281, 9253, 534, 5448, 476, 274, 322, 454, 8448, 9877, 338, 2986, 6997, 18873, 3657, 13242, 1677, 6744, 1280, 634, 16930, 7392, 2986, 623, 4545, 805, 545, 715, 1115, 454, 763, 1739, 4255, 543, 5773, 949, 581, 1031, 912, 268, 674, 8463, 16796, 7280, 543, 7378, 1449, 281, 589, 1449, 538, 799, 513, 1973, 3732, 568, 13761, 547, 2268, 519, 5666, 540, 7280, 543, 7378, 538, 519, 1973, 269, 634, 1449, 568, 2944, 1310, 519, 3461, 814, 1185, 4986, 547, 3548, 610, 4235, 585, 693, 2547, 476, 2190, 3108, 563, 268, 674, 8463, 16796, 6722, 6782, 1449, 281, 589, 1449, 538, 799, 513, 1973, 3732, 568, 13761, 547, 2268, 519, 2179, 540, 6722, 6782, 538, 519, 1973, 269, 634, 1449, 568, 2944, 1310, 519, 3461, 814, 1185, 4986, 547, 3548, 610, 4235, 585, 693, 2547, 476, 279, 3108, 563, 8448, 10510, 2010, 454, 268, 5395, 636, 966, 7709, 1449, 281, 589, 1449, 538, 799, 513, 1973, 3732, 568, 13761, 547, 2268, 519, 2179, 540, 966, 7709, 563, 268, 10552, 7998, 2090, 281, 589, 5650, 538, 799, 513, 1973, 3732, 568, 13761, 547, 2268, 519, 5666, 540, 1978, 6878, 5950, 883, 519, 1973, 676, 8219, 543, 8031, 538, 519, 1560, 269, 1323, 8966, 2179, 540, 513, 6219, 666, 581, 513, 1129, 540, 2068, 269, 769, 966, 7709, 5448, 267, 972, 568, 513, 2539, 982, 3339, 2179, 540, 11379, 563, 268, 853, 944, 2079, 281, 589, 22454, 3732, 568, 13761, 585, 513, 2362, 982, 3339, 9770, 543, 11379, 2157, 563, 306, 2176, 2986, 11671, 754, 18355, 570, 32214, 454, 763, 5169, 1377, 540, 715, 4953, 568, 519, 2281, 540, 519, 5778, 754, 18355, 1062, 269, 901, 3510, 1223, 581, 967, 565, 550, 610, 10728, 269, 1473, 565, 550, 1797, 519, 715, 4953, 9428, 1900, 676, 1900, 6466, 10728, 1797, 715, 4953, 9428, 3432, 1176, 269, 13575, 267, 519, 3029, 540, 11671, 754, 18355, 570, 636, 832, 616, 5097, 1759, 593, 519, 1747, 540, 715, 4953, 269, 5903, 539, 2630, 616, 930, 3029, 540, 715, 4953, 563, 268, 8585, 30448, 1591, 26217, 454, 268, 623, 515, 29614, 26014, 5448, 540, 519, 29427, 14189, 454, 268, 1520, 1066, 531, 1034, 11871, 454, 268, 774, 1157, 2287, 610, 26686, 538, 1022, 513, 851, 540, 519, 26430, 454, 268, 3525, 5874, 538, 15108, 610, 15485, 6208, 454, 763, 4299, 1268, 11129, 547, 1382, 3063, 827, 519, 2186, 540, 10510, 646, 24172, 568, 4299, 676, 269, 901, 949, 4217, 538, 4244, 2081, 14156, 538, 1840, 547, 15508, 563, 1103, 4334, 609, 1114, 3029, 540, 12970, 267, 715, 4953, 10953, 7444, 268, 936, 942, 269, 1403, 6444, 693, 606, 2038, 3942, 267, 519, 2703, 338, 666, 16756, 610, 1491, 2476, 715, 4953, 609, 519, 6351, 540, 11955, 610, 11257, 563, 2026, 649, 782, 917, 267, 972, 616, 1585, 3029, 540, 5778, 754, 18355, 12970, 267, 789, 1058, 581, 4857, 693, 606, 2038, 3942, 269, 700, 1115, 1445, 593, 519, 2079, 543, 16185, 540, 5778, 754, 18355, 12970, 563, 5649, 4746, 281, 12833, 5297, 31123, 983, 23213, 9435, 27834, 15580, 454, 1432, 2052, 594, 21673, 1403, 594, 5620, 4880, 454, 25892, 338, 616, 3006, 19451, 585, 824, 1447, 3978, 2175, 269, 2659, 23567, 610, 4397, 6364, 5673, 593, 1896, 2188, 267, 1519, 519, 1826, 540, 715, 4953, 596, 723, 543, 2436, 707, 10510, 814, 3262, 269, 2201, 3328, 267, 606, 6059, 476, 6507, 260, 540, 1004, 609, 715, 4953, 338, 616, 9800, 2947, 1296, 1310, 5868, 563, 19226, 5109, 2126, 568, 513, 2101, 24182, 855, 711, 519, 1439, 540, 707, 715, 4953, 3460, 269, 715, 4953, 338, 666, 1332, 1360, 7444, 267, 865, 707, 3782, 8502, 786, 1616, 547, 3950, 707, 1134, 5630, 585, 1896, 1296, 269, 769, 930, 2665, 267, 2348, 715, 4953, 338, 1522, 581, 899, 2713, 609, 513, 5312, 4576, 563, 303, 4545, 805, 545, 11671, 754, 18355, 570, 636, 832, 9615, 21111, 19405, 454, 4002, 901, 8525, 454, 268, 623, 4545, 805, 545, 5778, 754, 18355, 12970, 1106, 538, 9449, 6194, 2281, 540, 519, 18558, 563, 268, 623, 4545, 805, 545, 715, 4953, 338, 949, 610, 949, 711, 2014, 4191, 610, 2589, 563, 268, 1703, 616, 1114, 5686, 540, 6198, 25524, 715, 4953, 338, 563, 268, 11109, 1978, 25102, 27689, 666, 2333, 519, 1981, 540, 25524, 715, 4953, 338, 563, 268, 7756, 2010, 540, 25524, 715, 4953, 338, 723, 1114, 4191, 543, 2589, 563, 268, 6997, 4255, 543, 9196, 4255, 616, 1031, 547, 13209, 25524, 715, 4953, 338, 563, 268, 4033, 5686, 540, 2978, 4255, 616, 1031, 547, 2638, 585, 519, 1808, 1826, 540, 25524, 715, 4953, 338, 563, 268, 15742, 2188, 1860, 23567, 543, 2126, 3681, 563, 5649, 4746, 281, 1548, 3657, 634, 15486, 2986, 595, 32555, 5448, 9435, 454, 15650, 2986, 11671, 754, 18355, 25016, 570, 636, 832, 454, 32507, 754, 18355, 2281, 616, 7463, 2281, 3743, 585, 28472, 25853, 8031, 602, 1899, 519, 28296, 267, 24026, 267, 543, 824, 7252, 540, 519, 1560, 269, 1358, 1599, 1312, 607, 11409, 543, 25012, 2281, 4586, 2467, 616, 2185, 1114, 2010, 540, 5778, 754, 18355, 12970, 540, 519, 9641, 269, 589, 715, 4953, 666, 4268, 4922, 538, 2474, 540, 922, 1591, 1826, 267, 26490, 4369, 267, 3210, 547, 2126, 267, 543, 23567, 269, 634, 835, 1455, 4183, 1851, 873, 568, 602, 789, 2356, 1020, 538, 519, 3844, 28296, 267, 1572, 519, 11487, 14024, 267, 4092, 683, 13145, 547, 519, 1647, 540, 519, 9221, 563, 10376, 1826, 540, 5778, 754, 18355, 5761, 10510, 568, 28439, 676, 922, 10335, 912, 5591, 23369, 1280, 11671, 754, 18355, 570, 636, 832, 1772, 634, 23893, 1326, 9608, 1242, 9615, 454, 32507, 754, 18355, 12970, 1106, 538, 2281, 602, 2170, 609, 519, 8401, 1062, 610, 538, 15374, 602, 3132, 10399, 269, 1452, 2281, 267, 1572, 5778, 754, 18355, 2281, 267, 666, 581, 1336, 2429, 519, 1560, 267, 855, 715, 4953, 338, 616, 1034, 1419, 1336, 538, 519, 17737, 267, 2523, 538, 519, 16063, 8778, 269, 1452, 12970, 949, 849, 581, 1336, 538, 519, 9641, 267, 18558, 543, 29427, 15374, 269, 8585, 30448, 1591, 2860, 267, 513, 1826, 540, 2960, 2860, 267, 849, 568, 2808, 513, 5778, 754, 18355, 2860, 563, 1103, 1840, 547, 1373, 4686, 267, 715, 4953, 338, 616, 1950, 543, 949, 581, 2352, 547, 13209, 269, 774, 1846, 1946, 922, 1271, 547, 1205, 4274, 1416, 689, 513, 6131, 2319, 609, 1995, 543, 2866, 538, 8156, 2860, 269, 2659, 25191, 1544, 786, 1331, 2963, 2861, 5574, 543, 4066, 547, 4339, 5778, 754, 18355, 2860, 267, 5916, 609, 11215, 1416, 2533, 547, 948, 2569, 2427, 2360, 543, 1832, 596, 2178, 538, 1560, 267, 2247, 543, 6891, 563, 9827, 6744, 281, 1548, 1772, 13068, 8426, 595, 32555, 5448, 454, 1432, 3657, 11671, 754, 18355, 19204, 454, 32507, 754, 18355, 2281, 616, 3262, 2429, 519, 1480, 1560, 267, 855, 616, 5631, 1336, 538, 519, 1507, 16892, 267, 18558, 267, 543, 5761, 19357, 2723, 525, 269, 11671, 754, 18355, 2281, 957, 899, 8229, 2281, 538, 602, 789, 4309, 6835, 689, 519, 8401, 1062, 789, 666, 849, 5305, 1507, 6675, 602, 32694, 2429, 519, 1560, 543, 960, 899, 10399, 269, 4400, 2157, 540, 891, 9449, 6438, 6878, 666, 2014, 2589, 971, 607, 1166, 5241, 610, 13165, 269, 0, 5804, 519, 4090, 513, 1126, 10741, 741, 4064, 267, 3388, 789, 2097, 538, 3346, 609, 568, 575, 25311, 883, 1079, 6688, 282, 5256, 543, 4775, 269, 3245, 1808, 4778, 547, 7802, 267, 1978, 3615, 616, 14593, 585, 1453, 547, 899, 1759, 593, 741, 3023, 269, 1452, 4008, 11475, 616, 5393, 7986, 538, 519, 23242, 1158, 269, 769, 1272, 8951, 616, 3335, 16363, 607, 519, 21260, 3023, 267, 538, 519, 23242, 1158, 789, 616, 16363, 607, 519, 3283, 945, 798, 711, 723, 519, 26176, 2088, 543, 5397, 547, 14526, 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 ]
[ 1919, 1031, 538, 7718, 908, 519, 715, 12112, 331, 616, 13991, 689, 1004, 563, 8649, 597, 932, 752, 8676, 336, 12384, 538, 12891, 3120, 454, 763, 16008, 538, 2549, 597, 932, 752, 8676, 336, 6238, 950, 519, 5230, 21243, 715, 12112, 331, 568, 5645, 593, 519, 17525, 540, 7366, 540, 5256, 22378, 2996, 267, 2025, 610, 1762, 269, 20290, 782, 519, 824, 5256, 22378, 2996, 5531, 538, 519, 4099, 267, 1472, 519, 715, 12112, 331, 269, 6468, 2356, 3802, 1472, 519, 715, 12112, 331, 593, 513, 8273, 5858, 610, 3251, 593, 519, 31241, 641, 540, 519, 5656, 7404, 563, 2414, 4163, 593, 519, 715, 12112, 331, 538, 513, 2922, 1259, 267, 513, 812, 267, 513, 17166, 26191, 630, 9188, 25728, 656, 540, 1955, 600, 26036, 599, 333, 1070, 13978, 593, 519, 8880, 11308, 6241, 543, 669, 1218, 962, 320, 26036, 599, 333, 543, 10274, 519, 13730, 22378, 2996, 547, 4163, 519, 715, 12112, 331, 1472, 519, 4009, 269, 769, 713, 1259, 267, 1100, 835, 568, 2451, 3297, 689, 519, 1866, 269, 1358, 4163, 519, 715, 12112, 331, 1896, 2053, 1472, 519, 4009, 543, 693, 519, 1482, 942, 1004, 1472, 873, 3956, 856, 3909, 669, 1218, 563, 1103, 1114, 2127, 267, 972, 616, 1808, 25654, 585, 875, 547, 12740, 519, 715, 12112, 331, 930, 540, 799, 616, 1869, 4767, 269, 1280, 3236, 267, 1247, 17666, 519, 715, 12112, 331, 267, 1142, 540, 922, 7953, 610, 20362, 1058, 581, 9787, 539, 676, 513, 1808, 14316, 610, 8664, 610, 13567, 269, 898, 729, 2356, 606, 15110, 1318, 281, 585, 1383, 267, 538, 715, 553, 4599, 611, 623, 880, 14150, 2129, 630, 312, 1794, 323, 267, 9459, 1070, 1142, 1850, 540, 519, 715, 12112, 331, 814, 24850, 1152, 15790, 550, 619, 267, 17051, 19431, 338, 267, 855, 7129, 267, 512, 22395, 267, 521, 5417, 6840, 267, 1216, 14273, 267, 543, 519, 899, 269, 634, 2245, 568, 1869, 12873, 538, 713, 1858, 607, 1134, 607, 538, 2725, 344, 321, 617, 267, 570, 10762, 267, 3092, 563, 293, 13083, 27801, 338, 827, 715, 12112, 331, 454, 763, 715, 12112, 331, 540, 31366, 543, 922, 1644, 18428, 616, 267, 899, 824, 3909, 12738, 267, 2404, 609, 2442, 4978, 543, 5389, 799, 723, 1100, 3909, 8129, 610, 12406, 269, 1358, 616, 1175, 1759, 593, 2442, 4978, 543, 5310, 1004, 779, 2833, 269, 3371, 616, 930, 12563, 4978, 827, 519, 715, 12112, 331, 912, 1892, 28238, 850, 2021, 3444, 689, 896, 519, 715, 12112, 331, 538, 519, 4126, 540, 2348, 513, 4816, 2676, 1892, 590, 1157, 1453, 616, 6410, 936, 519, 715, 12112, 331, 538, 519, 4126, 540, 1373, 646, 4705, 2676, 1892, 1403, 519, 715, 12112, 331, 16125, 519, 3774, 540, 513, 2777, 1247, 621, 568, 1373, 6410, 538, 10246, 903, 267, 621, 568, 5156, 602, 1945, 3983, 568, 2469, 547, 4755, 547, 519, 17055, 540, 519, 2777, 269, 4935, 267, 519, 17055, 540, 519, 2777, 11394, 547, 2061, 519, 18473, 2680, 676, 26718, 532, 513, 13265, 2676, 1892, 769, 1931, 585, 741, 16858, 547, 581, 24009, 267, 2021, 1769, 22311, 610, 22250, 2282, 519, 715, 12112, 331, 593, 519, 859, 525, 540, 26800, 340, 685, 320, 543, 2048, 2026, 327, 3120, 2394, 519, 6640, 563, 265, 1411, 786, 4309, 519, 5767, 3377, 543, 10311, 593, 707, 5172, 28245, 2336, 293, 13904, 1855, 327, 3757, 31777, 1218, 281, 3245, 24006, 21874, 12465, 2201, 525, 547, 22084, 344, 5253, 7040, 454, 18455, 971, 513, 20651, 2749, 267, 1855, 327, 3757, 814, 547, 2743, 782, 7264, 685, 7569, 585, 1585, 14060, 543, 22538, 525, 267, 2523, 950, 1004, 779, 7498, 5938, 327, 3757, 16639, 281, 634, 16635, 540, 570, 770, 525, 543, 4778, 454, 15933, 338, 616, 3622, 2808, 2686, 7215, 269, 1635, 2921, 1114, 2686, 10054, 538, 267, 3536, 616, 8032, 543, 4857, 2429, 1686, 269, 1677, 7498, 25324, 1014, 28533, 3511, 282, 634, 7454, 28533, 3511, 538, 519, 2622, 454, 290, 822, 3511, 568, 519, 2012, 540, 519, 3165, 5798, 689, 513, 1808, 1826, 540, 3165, 1572, 968, 560, 25973, 517, 6100, 28533, 3511, 568, 835, 540, 7498, 25324, 1014, 590, 3530, 1258, 281, 19732, 839, 547, 2142, 519, 4414, 7108, 540, 2353, 1975, 1182, 454, 306, 3530, 1258, 568, 835, 540, 519, 1158, 779, 1034, 10475, 14546, 799, 814, 1044, 12183, 24887, 968, 763, 4414, 7108, 6100, 14655, 1094, 742, 1258, 814, 1100, 2507, 0, 307, 328, 302, 273, 814, 1044, 3254, 547, 581, 513, 1761, 11134, 585, 2584, 7765, 527, 7007, 3157, 267, 971, 607, 20004, 22740, 1242, 3859, 2281, 543, 1216, 24590, 538, 2504, 540, 670, 273, 269, 634, 1804, 6512, 7934, 540, 23621, 302, 273, 666, 581, 4389, 676, 6198, 1944, 519, 12547, 676, 23455, 6883, 20004, 6675, 543, 5924, 1216, 5786, 270, 2135, 9179, 27857, 267, 676, 4496, 270, 12061, 5471, 531, 546, 14563, 267, 543, 676, 11544, 609, 1776, 12547, 269, 9603, 547, 891, 2409, 267, 1896, 1114, 23621, 302, 273, 13001, 22372, 23838, 666, 581, 9112, 2348, 1114, 22762, 1845, 267, 5907, 3889, 267, 543, 9804, 4162, 269, 898, 568, 18374, 7543, 547, 1449, 519, 2584, 665, 520, 24608, 2534, 540, 782, 2009, 23621, 302, 273, 13001, 22372, 23838, 1210, 1152, 8097, 2553, 269, 5502, 267, 5860, 6198, 3069, 630, 5263, 307, 264, 13001, 22372, 7811, 13502, 666, 3362, 3391, 8097, 2090, 676, 9584, 2326, 543, 3246, 4030, 883, 519, 8666, 13808, 540, 519, 23838, 269, 634, 2832, 540, 713, 3184, 568, 547, 1683, 606, 19773, 585, 1699, 1382, 593, 667, 10499, 13001, 22372, 13502, 540, 23621, 302, 273, 23838, 585, 20004, 22740, 1242, 3859, 2281, 543, 1216, 24590, 3156, 543, 547, 2232, 2591, 540, 7811, 13502, 563, 268, 5860, 6198, 3069, 454, 268, 705, 13001, 8181, 1470, 7636, 6384, 454, 268, 20004, 22740, 1242, 3859, 2281, 454, 268, 1216, 24590, 454, 28770, 7217, 4066, 543, 519, 3747, 585, 4244, 1648, 2959, 267, 799, 798, 711, 3132, 8511, 9362, 607, 513, 676, 28237, 1291, 547, 513, 3395, 4656, 538, 1210, 1346, 7791, 2959, 2907, 3177, 676, 2470, 267, 971, 607, 7943, 269, 634, 4998, 3804, 568, 547, 900, 3634, 519, 2584, 12950, 1184, 609, 799, 519, 2371, 6460, 670, 273, 302, 543, 2910, 273, 883, 744, 273, 543, 11950, 676, 21716, 22726, 538, 519, 1648, 2039, 1063, 476, 274, 269, 274, 543, 476, 272, 269, 276, 552, 309, 630, 6665, 1043, 8552, 1040, 12207, 1287, 2832, 693, 8888, 1007, 27857, 602, 666, 2308, 519, 3362, 2139, 7943, 543, 6460, 621, 883, 3114, 1648, 267, 1510, 4470, 593, 519, 11852, 1648, 6383, 676, 2757, 10173, 563, 1103, 476, 4350, 279, 267, 585, 519, 1101, 942, 267, 6153, 324, 557, 543, 28881, 518, 476, 7152, 519, 2584, 665, 520, 24608, 2534, 540, 519, 23621, 302, 273, 2627, 267, 799, 666, 3132, 5135, 676, 21716, 11158, 1769, 3976, 3056, 547, 519, 2584, 984, 548, 2286, 540, 24470, 269, 901, 1353, 814, 15748, 1082, 1866, 4724, 12423, 2584, 665, 520, 24608, 6547, 602, 666, 581, 10776, 7458, 676, 23621, 302, 273, 269, 634, 1967, 540, 713, 1570, 568, 849, 20582, 676, 922, 1164, 6617, 267, 1970, 1942, 267, 1100, 2427, 2360, 593, 3425, 543, 1604, 267, 543, 8897, 538, 1804, 13001, 29173, 6165, 269, 769, 19220, 540, 519, 9621, 3601, 540, 23621, 302, 273, 267, 519, 2584, 665, 520, 24608, 2534, 540, 519, 11953, 2627, 568, 711, 6099, 267, 1813, 547, 519, 1932, 1804, 1648, 7934, 1547, 901, 7182, 519, 22726, 685, 10338, 543, 28901, 519, 3728, 21921, 1588, 540, 519, 2584, 4094, 23306, 19057, 1547, 2755, 891, 19363, 3648, 17225, 519, 2500, 3498, 540, 519, 29814, 1570, 267, 1896, 2009, 3435, 723, 1044, 19424, 539, 676, 6236, 2627, 12381, 267, 971, 607, 12432, 19202, 23993, 267, 4496, 270, 12061, 5471, 531, 546, 14563, 267, 543, 6198, 1436, 676, 1797, 540, 1114, 2010, 540, 23455, 321, 919, 1547, 1280, 3236, 267, 31626, 13001, 1602, 874, 10455, 514, 23455, 5523, 593, 519, 23621, 302, 273, 2627, 6971, 519, 12939, 585, 519, 22726, 685, 10338, 267, 543, 676, 3850, 519, 3728, 6475, 13297, 4724, 519, 14041, 267, 25815, 1524, 519, 5279, 21921, 1588, 1184, 4586, 16449, 1082, 2584, 665, 520, 24608, 3156, 540, 6198, 1242, 23621, 302, 273, 2627, 267, 1216, 24590, 585, 670, 273, 2504, 543, 20004, 22740, 1242, 3859, 2281, 630, 291, 7704, 12336, 264, 616, 1851, 519, 1034, 4922, 6594, 3584, 269, 4014, 519, 2810, 1297, 540, 9621, 2090, 568, 2469, 547, 1628, 2584, 665, 520, 3315, 21154, 3608, 543, 7347, 1896, 23621, 302, 273, 13001, 22372, 2326, 267, 538, 713, 2361, 267, 519, 1489, 540, 519, 7811, 1935, 547, 2263, 519, 3601, 540, 2009, 11134, 2326, 568, 1898, 269, 634, 7634, 540, 1697, 11046, 2065, 3631, 540, 519, 1949, 540, 1719, 267, 7654, 1519, 519, 5907, 2497, 18572, 543, 10063, 1424, 519, 4143, 3157, 267, 666, 3648, 948, 519, 9584, 540, 2326, 269, 769, 1880, 267, 621, 568, 2556, 547, 1174, 519, 2470, 540, 519, 23455, 321, 622, 13001, 11357, 1598, 622, 5872, 267, 543, 3246, 4030, 883, 519, 8666, 13808, 1991, 547, 3573, 8097, 3646, 269, 634, 2832, 540, 713, 3184, 568, 547, 2689, 519, 1699, 3356, 543, 2591, 538, 5860, 6198, 3069, 630, 5263, 307, 264, 13001, 22372, 13502, 540, 6198, 1242, 23621, 302, 273, 7252, 267, 1519, 678, 583, 850, 267, 20133, 848, 267, 543, 23621, 302, 273, 20543, 267, 609, 2463, 547, 519, 3156, 538, 2584, 665, 520, 24608, 1216, 24590, 543, 667, 7704, 12336, 563, 273, 269, 11137, 593, 5860, 6198, 3069, 454, 5263, 307, 568, 2919, 676, 14208, 1156, 6199, 267, 918, 7897, 267, 543, 1744, 600, 1496, 277, 267, 476, 278, 316, 538, 476, 3422, 275, 607, 513, 6922, 1436, 1966, 540, 519, 2666, 1533, 1648, 607, 513, 1599, 540, 6475, 5860, 269, 634, 1935, 568, 547, 4194, 1022, 4628, 15025, 1966, 676, 11837, 621, 547, 513, 1875, 5793, 716, 532, 1966, 10962, 5385, 13001, 14585, 21975, 6198, 267, 1294, 26169, 269, 630, 272, 1916, 3602, 568, 519, 15452, 1648, 540, 519, 1875, 5793, 716, 532, 1062, 267, 568, 519, 8106, 595, 9567, 4861, 1065, 13955, 1648, 267, 568, 519, 5872, 540, 519, 5007, 1761, 9117, 593, 519, 9211, 267, 543, 2165, 568, 519, 5385, 543, 12633, 1049, 1648, 269, 2353, 540, 891, 2474, 616, 1572, 1599, 1023, 543, 789, 4096, 593, 519, 6475, 5860, 2073, 1775, 4318, 1421, 519, 1297, 540, 9211, 829, 1770, 4320, 563, 16978, 1258, 5860, 666, 581, 6829, 538, 1082, 2081, 6902, 2705, 267, 21714, 543, 7077, 5951, 6101, 1143, 568, 3254, 547, 581, 3648, 3608, 585, 519, 6609, 540, 519, 10739, 1023, 1547, 589, 22297, 21714, 4493, 1305, 17479, 693, 1142, 11046, 568, 1031, 547, 4228, 519, 918, 7897, 13001, 4537, 600, 10739, 1023, 543, 606, 25581, 7077, 5951, 4493, 1305, 568, 1031, 547, 4766, 519, 6475, 5860, 267, 3976, 5355, 519, 12985, 2773, 538, 519, 9819, 540, 519, 595, 9567, 4861, 4205, 269, 901, 10325, 568, 3254, 547, 581, 513, 5078, 3903, 585, 1804, 13001, 29173, 667, 10499, 13502, 1496, 1015, 267, 476, 1556, 14073, 7212, 519, 9740, 538, 10962, 6475, 5860, 5673, 593, 519, 2698, 1648, 3079, 540, 519, 6475, 5951, 1599, 6101, 1143, 543, 3246, 2241, 267, 8471, 267, 543, 1582, 13001, 4621, 11962, 13001, 7615, 6609, 540, 519, 2666, 13001, 8063, 5907, 2497, 267, 1022, 4052, 6165, 540, 667, 10499, 3340, 606, 4977, 6609, 547, 519, 5385, 543, 12633, 1049, 2360, 267, 2073, 1294, 26169, 269, 630, 273, 1916, 3602, 568, 519, 15452, 1648, 540, 519, 15025, 1062, 543, 568, 519, 1875, 5035, 673, 5872, 1063, 9211, 269, 4014, 519, 3169, 25107, 4082, 540, 519, 5385, 13001, 14585, 21975, 6198, 568, 711, 1634, 267, 4114, 574, 725, 547, 891, 2474, 723, 1044, 7152, 547, 581, 2111, 7001, 1034, 540, 519, 2168, 11305, 8707, 3601, 540, 1082, 1949, 689, 519, 4396, 1533, 547, 519, 5277, 1533, 563, 6624, 2409, 723, 1044, 6069, 547, 5173, 5385, 13001, 14585, 21975, 9295, 547, 519, 2698, 1648, 1547, 2290, 540, 519, 1034, 4122, 1031, 3283, 568, 519, 20902, 13506, 19406, 630, 294, 16598, 1070, 1141, 519, 5385, 543, 9756, 1648, 5673, 593, 1312, 6475, 5860, 543, 922, 13506, 1547, 901, 1505, 2882, 10859, 655, 2869, 673, 1599, 1023, 602, 2874, 540, 835, 610, 811, 6724, 19034, 547, 4603, 958, 4767, 9424, 269, 3131, 323, 1168, 13001, 289, 584, 651, 13001, 11293, 333, 10045, 327, 1993, 630, 303, 23813, 264, 476, 543, 645, 1815, 651, 5385, 13624, 2465, 13001, 312, 836, 13001, 303, 1551, 9756, 630, 13993, 24688, 264, 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 ]
[ 12059, 569, 267, 5103, 7920, 8165, 2429, 519, 8653, 540, 519, 2112, 267, 11350, 580, 5166, 338, 4767, 1978, 7182, 3823, 519, 13389, 540, 21127, 543, 519, 17293, 540, 9604, 5827, 540, 2527, 9552, 780, 4913, 267, 519, 11114, 2782, 849, 9727, 519, 2591, 7915, 538, 10647, 3908, 10617, 269, 7324, 891, 7965, 4137, 2055, 827, 5692, 28869, 267, 24813, 8847, 540, 1967, 267, 543, 1761, 15583, 2218, 6384, 269, 11569, 267, 1256, 1498, 772, 2529, 11607, 1194, 4229, 16309, 538, 11319, 1394, 19797, 14699, 543, 8497, 3162, 9705, 781, 7115, 267, 789, 1223, 711, 2061, 12877, 784, 344, 836, 689, 20808, 1852, 936, 519, 7187, 3368, 540, 519, 25345, 269, 7439, 1705, 6115, 4383, 547, 5150, 9434, 6617, 593, 2901, 2427, 540, 519, 1629, 4106, 541, 1242, 7997, 19459, 519, 1079, 6401, 553, 267, 607, 7766, 13253, 543, 16839, 1131, 1140, 652, 780, 1103, 3932, 267, 18167, 4514, 883, 519, 4214, 540, 3908, 10617, 6087, 721, 547, 1732, 1174, 741, 14960, 267, 16082, 267, 543, 32475, 269, 20331, 7526, 9991, 896, 713, 7121, 1459, 2189, 3255, 543, 10148, 585, 14519, 267, 7980, 267, 543, 17009, 1846, 7567, 267, 8506, 6297, 18064, 3130, 7282, 1797, 267, 7475, 267, 543, 4220, 3238, 269, 3414, 11826, 6514, 540, 2250, 2833, 267, 2104, 5481, 1796, 547, 1451, 3407, 4245, 10858, 547, 2147, 3871, 1524, 519, 1899, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 13563, 3955, 6761, 267, 476, 6245, 279, 6261, 6974, 257, 5497, 585, 2852, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 9502, 540, 3908, 10617, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 9335, 3203, 607, 513, 1106, 540, 5398, 3203, 267, 8220, 621, 547, 4207, 2152, 543, 9840, 1369, 519, 1148, 2146, 543, 2486, 693, 1804, 269, 3414, 6297, 2079, 543, 4901, 540, 1585, 2013, 2090, 543, 7811, 10850, 267, 649, 2832, 547, 16491, 1053, 609, 513, 13857, 1620, 540, 519, 10848, 543, 1761, 540, 9335, 3203, 607, 1312, 606, 7499, 5420, 543, 513, 1907, 585, 1514, 16555, 543, 7004, 780, 2414, 2253, 267, 1577, 721, 5581, 938, 2474, 269, 4340, 547, 11518, 9445, 27950, 17664, 781, 25761, 960, 267, 834, 28757, 5398, 3203, 2437, 1857, 1148, 4016, 547, 1568, 2813, 4481, 585, 543, 4092, 538, 15597, 3015, 5624, 267, 1519, 10754, 267, 11614, 267, 543, 2229, 5656, 269, 1452, 1568, 1419, 4497, 2047, 609, 2055, 540, 10333, 267, 13784, 267, 543, 18523, 3961, 267, 4101, 2757, 1523, 687, 540, 1018, 13054, 1412, 14683, 262, 1148, 269, 10738, 713, 7121, 267, 8265, 1148, 19674, 607, 513, 3982, 15410, 6353, 676, 922, 3134, 31906, 1275, 267, 1016, 951, 633, 15312, 267, 543, 7928, 946, 540, 18977, 5624, 269, 3245, 24434, 344, 781, 11599, 23296, 4290, 1178, 29201, 547, 808, 305, 781, 27763, 26278, 9597, 1023, 267, 8265, 5159, 2308, 3309, 2553, 543, 2923, 547, 26544, 538, 4683, 8916, 543, 28596, 5188, 1472, 10296, 1514, 4145, 780, 3080, 1883, 2460, 540, 8265, 1148, 6013, 538, 922, 2702, 547, 7519, 8789, 6386, 543, 2721, 3007, 547, 12790, 5380, 269, 1306, 971, 267, 1082, 9439, 12799, 5447, 2933, 609, 19191, 5322, 543, 3343, 547, 1198, 15889, 2797, 1689, 998, 741, 2259, 269, 1280, 1383, 267, 2701, 335, 731, 13056, 790, 344, 6591, 3486, 556, 852, 333, 585, 1010, 834, 302, 21161, 27951, 257, 5859, 267, 799, 2663, 7960, 883, 519, 24819, 834, 28775, 257, 16968, 5885, 4446, 871, 15525, 781, 16232, 19915, 269, 1635, 3261, 908, 519, 3308, 1893, 540, 18259, 543, 10229, 267, 13056, 790, 344, 31886, 519, 6354, 11494, 1379, 6384, 7915, 538, 891, 12331, 540, 2792, 1247, 8195, 19713, 873, 585, 11636, 7475, 780, 11101, 267, 8265, 1148, 814, 1831, 5051, 2404, 609, 3646, 547, 29915, 622, 20495, 16973, 543, 6536, 2146, 6278, 269, 634, 7613, 540, 834, 16579, 633, 1747, 14708, 257, 28837, 713, 7678, 267, 10771, 10319, 12352, 1063, 2199, 6608, 267, 4213, 267, 543, 5159, 547, 2981, 896, 583, 28895, 2127, 883, 7524, 2686, 32387, 269, 589, 8037, 3236, 540, 713, 1935, 666, 581, 1336, 538, 15740, 781, 631, 1116, 8551, 5358, 267, 799, 18271, 3318, 5159, 7258, 608, 11325, 11367, 267, 6107, 693, 1981, 267, 543, 824, 9207, 5703, 5095, 547, 1711, 11617, 11495, 9597, 1023, 602, 2992, 519, 2749, 781, 3638, 1686, 543, 4763, 269, 1635, 3246, 3255, 585, 5578, 1646, 543, 3860, 4082, 267, 7341, 899, 891, 7668, 2043, 543, 2950, 7567, 267, 5807, 513, 2631, 540, 9562, 543, 11348, 538, 3838, 1857, 5624, 780, 4913, 267, 8265, 1148, 781, 2078, 609, 6392, 3788, 9808, 9853, 267, 607, 13253, 8451, 1063, 1346, 945, 2070, 621, 607, 642, 663, 16117, 543, 1866, 945, 8661, 922, 15141, 1190, 6891, 269, 901, 6422, 12651, 1271, 2055, 827, 519, 1909, 540, 1857, 5238, 538, 15725, 543, 8497, 4683, 5054, 269, 1280, 3236, 267, 1058, 18513, 8041, 1902, 2200, 538, 7863, 543, 5009, 8265, 1148, 267, 1256, 950, 621, 6818, 3544, 3656, 6302, 286, 1215, 1522, 971, 3646, 1764, 3959, 2418, 267, 8425, 30826, 3270, 267, 543, 6626, 11994, 540, 513, 2016, 1327, 1446, 286, 1677, 2232, 891, 4145, 267, 930, 4872, 723, 8045, 11863, 1949, 543, 11280, 834, 560, 22901, 1148, 10851, 257, 1141, 5159, 666, 16155, 3132, 960, 1510, 4250, 540, 1427, 9084, 269, 8616, 891, 3800, 2611, 11786, 267, 607, 789, 24903, 24183, 519, 1360, 9759, 540, 8265, 1148, 781, 1098, 326, 4809, 9029, 780, 1103, 3932, 267, 8265, 1148, 26328, 513, 2189, 2990, 1369, 519, 7706, 540, 1857, 1148, 267, 2269, 9536, 1782, 519, 1899, 1063, 24648, 1275, 543, 26117, 267, 4187, 543, 1071, 9953, 566, 269, 4706, 4390, 547, 4161, 30566, 545, 3889, 267, 11349, 7104, 8116, 267, 543, 14219, 1508, 4683, 5624, 14906, 619, 621, 606, 1898, 5057, 540, 4207, 3308, 2528, 17709, 540, 2565, 6514, 543, 7071, 269, 1635, 2502, 609, 519, 15491, 7516, 540, 8265, 1148, 8268, 23954, 267, 1053, 786, 15052, 741, 8223, 540, 922, 2484, 23568, 6286, 543, 1761, 607, 513, 3196, 585, 2318, 6848, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24127, 476, 8618, 267, 7089, 476, 272, 454, 310, 5793, 476, 1001, 276, 1269, 275, 269, 4817, 454, 15578, 645, 6938, 2562, 5990, 21398, 288, 16249, 700, 9281, 292, 6167, 306, 19851, 288, 2562, 21764, 590, 16165, 454, 763, 12139, 540, 519, 3057, 514, 6481, 5980, 454, 291, 1581, 7043, 12910, 26225, 5426, 12910, 5020, 25477, 7043, 12910, 5516, 6355, 13574, 619, 8889, 6828, 12333, 700, 6636, 20709, 685, 3281, 18730, 6452, 454, 10890, 15928, 3657, 596, 3222, 602, 1507, 2516, 666, 1689, 741, 1072, 6142, 693, 1022, 942, 2429, 519, 1032, 286, 8585, 1356, 2488, 513, 2647, 2039, 540, 1072, 6142, 3681, 543, 5583, 547, 2818, 540, 519, 3057, 514, 6481, 5980, 269, 1284, 1921, 596, 609, 519, 1283, 1895, 6142, 19057, 543, 948, 596, 3442, 519, 3795, 602, 1655, 13352, 707, 2115, 543, 6578, 269, 1284, 2709, 8112, 543, 1871, 865, 596, 666, 1683, 2298, 1072, 267, 5959, 267, 1272, 543, 9659, 4566, 547, 707, 5520, 269, 9540, 6828, 630, 273, 547, 476, 2004, 5520, 264, 3795, 568, 2139, 585, 782, 1870, 3029, 602, 1331, 693, 2547, 835, 1875, 17898, 1787, 654, 268, 273, 9441, 538, 1840, 547, 519, 8227, 4433, 1040, 12525, 1106, 19027, 540, 707, 4567, 607, 513, 1507, 1895, 568, 2838, 269, 1284, 666, 948, 596, 547, 3313, 765, 628, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 22901, 3203, 257, 607, 851, 540, 834, 11286, 1315, 5398, 3203, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 519, 12539, 3562, 9539, 527, 4088, 22472, 538, 1715, 4944, 1653, 3281, 24031, 692, 272, 269, 6258, 827, 519, 3327, 3562, 5991, 527, 4088, 5223, 281, 6969, 4358, 707, 11003, 18061, 267, 1620, 519, 4998, 3327, 3562, 5991, 527, 4088, 630, 290, 281, 301, 264, 5223, 568, 1898, 269, 901, 6099, 3666, 8992, 3608, 17883, 543, 11151, 28067, 30851, 269, 13575, 267, 2832, 585, 513, 595, 281, 301, 5223, 1063, 476, 1839, 281, 272, 543, 476, 1789, 281, 272, 269, 9466, 2326, 899, 12015, 3762, 610, 12450, 3565, 1164, 5666, 540, 3327, 267, 1247, 3039, 2326, 971, 607, 6371, 804, 2089, 902, 610, 10448, 29578, 1683, 9436, 780, 273, 269, 10576, 519, 595, 281, 301, 5223, 540, 11356, 281, 1715, 4944, 3639, 5097, 2874, 540, 27794, 11103, 267, 799, 2736, 1524, 7444, 1813, 547, 741, 2362, 3327, 5834, 269, 2755, 1808, 12753, 4268, 4470, 593, 519, 1826, 540, 13504, 543, 1957, 1031, 267, 1034, 14786, 2887, 883, 519, 6960, 1570, 7121, 267, 2348, 513, 595, 281, 301, 2039, 540, 5111, 476, 5038, 281, 272, 547, 476, 9262, 281, 272, 269, 5901, 713, 538, 2247, 950, 4946, 11356, 547, 707, 11003, 18061, 780, 274, 269, 16259, 707, 11003, 10822, 610, 18061, 281, 5590, 909, 513, 6131, 2230, 585, 707, 11003, 18061, 267, 2901, 676, 11449, 513, 10822, 610, 1374, 908, 606, 1858, 538, 707, 18147, 269, 19321, 1697, 7509, 2157, 543, 513, 3130, 2429, 519, 1184, 780, 275, 269, 1744, 1042, 11356, 1354, 24600, 281, 570, 8960, 610, 27054, 3429, 11356, 9212, 1991, 547, 25465, 5787, 919, 519, 15059, 1184, 543, 24506, 519, 2949, 595, 281, 301, 5223, 269, 2422, 23805, 267, 513, 1957, 27054, 1457, 267, 610, 1256, 707, 3946, 547, 5965, 519, 11356, 17446, 780, 276, 269, 28799, 11356, 609, 3617, 3039, 2326, 281, 1677, 15558, 519, 1164, 3327, 1543, 540, 11356, 267, 3575, 621, 8499, 609, 9436, 11656, 16719, 269, 1323, 2653, 23988, 568, 547, 9192, 1614, 2694, 536, 992, 985, 630, 2908, 4944, 1653, 264, 609, 835, 851, 16719, 630, 557, 1326, 762, 29578, 267, 6995, 12406, 267, 3092, 12175, 17797, 891, 17114, 1759, 593, 707, 2139, 2200, 543, 3077, 595, 281, 301, 5223, 780, 277, 269, 18554, 2837, 543, 7509, 281, 26758, 5210, 585, 24600, 2039, 689, 476, 9873, 13790, 547, 476, 8182, 13790, 630, 4649, 9180, 547, 476, 3583, 9180, 1040, 17115, 2490, 707, 18061, 547, 3895, 2011, 10009, 543, 2226, 7850, 7509, 2157, 1765, 13678, 1791, 547, 513, 21389, 2426, 13050, 26703, 780, 278, 269, 2142, 18762, 609, 11954, 13504, 281, 4014, 2413, 14786, 3335, 8415, 13386, 2861, 538, 802, 267, 930, 1869, 7048, 593, 19386, 2861, 8925, 5627, 5732, 5739, 6464, 269, 1403, 7255, 827, 13504, 17219, 267, 2015, 27126, 3377, 2745, 4481, 13042, 607, 9001, 13386, 2861, 538, 802, 610, 1904, 585, 4244, 6960, 2326, 15587, 780, 279, 269, 3680, 17953, 344, 4574, 281, 7395, 16383, 267, 22331, 9233, 267, 543, 824, 12326, 10023, 17953, 344, 3817, 1419, 1331, 6878, 5667, 340, 3386, 585, 24600, 269, 25529, 547, 1319, 974, 1922, 31944, 267, 1875, 25322, 1601, 344, 2326, 8164, 2009, 780, 280, 269, 27016, 3461, 569, 281, 2060, 5812, 5464, 543, 1416, 267, 707, 11003, 18061, 786, 2981, 936, 942, 269, 15380, 267, 2503, 519, 2347, 7004, 540, 6151, 5820, 883, 26729, 11003, 1369, 1896, 3275, 780, 1015, 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 ]
[ 3262, 5488, 952, 519, 7450, 568, 8118, 563, 8196, 891, 4388, 547, 1118, 2386, 707, 1453, 616, 5265, 5423, 585, 513, 3595, 6595, 563, 27852, 28100, 9537, 454, 27852, 3441, 568, 3592, 2141, 14042, 267, 7488, 540, 2450, 543, 3441, 269, 1323, 1271, 3364, 547, 917, 1498, 568, 519, 1826, 540, 3595, 3441, 596, 949, 723, 28815, 269, 590, 27263, 24165, 568, 2141, 1934, 547, 948, 538, 1022, 1259, 649, 666, 267, 1256, 952, 621, 781, 1175, 547, 13599, 519, 2146, 269, 1403, 596, 1491, 513, 1434, 1413, 693, 519, 4605, 1934, 689, 513, 2250, 2816, 596, 666, 1294, 602, 713, 1753, 11124, 513, 2101, 2530, 1813, 547, 513, 2777, 3595, 269, 1703, 781, 3441, 689, 8673, 267, 865, 582, 267, 543, 11849, 593, 519, 6821, 6028, 513, 3109, 4494, 543, 513, 2178, 17627, 269, 1703, 781, 2834, 2168, 3441, 602, 3595, 11148, 547, 2014, 950, 1945, 568, 2047, 20109, 610, 1305, 593, 3595, 269, 23985, 1082, 1004, 949, 711, 8275, 1498, 568, 519, 1216, 3441, 602, 2501, 609, 513, 3595, 269, 7102, 5503, 519, 3595, 8257, 568, 1572, 547, 6370, 513, 3595, 596, 666, 1293, 593, 1216, 3441, 689, 519, 3595, 554, 4680, 269, 1403, 519, 1753, 568, 2451, 1279, 2614, 609, 519, 1216, 865, 1136, 883, 519, 11647, 267, 15790, 1115, 267, 32466, 543, 3388, 3116, 538, 519, 1753, 267, 9044, 666, 1106, 269, 1403, 707, 1753, 23119, 513, 2530, 689, 513, 3595, 267, 1810, 1405, 7227, 256, 11910, 590, 27263, 24165, 547, 2097, 543, 1205, 519, 2816, 2944, 563, 2026, 596, 949, 723, 2938, 593, 519, 3377, 267, 513, 11453, 3595, 814, 3323, 538, 519, 10011, 24191, 1858, 269, 634, 3595, 814, 2907, 1085, 528, 3481, 476, 4037, 14143, 543, 729, 827, 476, 2412, 260, 8659, 607, 540, 476, 1015, 513, 6230, 269, 19108, 269, 9603, 547, 519, 2178, 476, 1839, 631, 874, 12798, 519, 3595, 729, 23185, 543, 8057, 538, 2450, 6385, 269, 898, 779, 3810, 12691, 602, 713, 3595, 786, 3914, 1022, 5321, 1813, 547, 519, 2656, 2962, 540, 519, 11968, 13353, 6019, 9605, 4972, 269, 1403, 713, 3595, 267, 610, 1022, 824, 30481, 941, 547, 3914, 1022, 5321, 267, 596, 666, 2141, 1293, 593, 590, 27263, 24165, 547, 2097, 543, 1205, 519, 2816, 2944, 269, 3776, 3515, 616, 1930, 476, 2190, 3108, 513, 1554, 547, 2327, 519, 3106, 540, 707, 5321, 269, 1403, 707, 1753, 23119, 689, 513, 9568, 267, 1289, 590, 27263, 24165, 543, 649, 786, 1118, 2386, 621, 5654, 899, 621, 2760, 1256, 5949, 563, 28444, 675, 1411, 616, 13363, 539, 454, 2691, 513, 1753, 2833, 513, 3595, 267, 519, 3441, 547, 519, 2679, 543, 2123, 28378, 666, 581, 14042, 543, 1223, 771, 2897, 513, 1920, 609, 5176, 4986, 855, 519, 9660, 593, 741, 19758, 585, 3833, 513, 1279, 942, 269, 4634, 2127, 19448, 26327, 676, 519, 3595, 2047, 666, 581, 18385, 8697, 267, 585, 1383, 519, 2362, 19683, 540, 513, 2679, 593, 3595, 949, 711, 581, 2047, 4299, 676, 519, 26428, 855, 519, 8375, 865, 582, 543, 8673, 666, 1360, 16094, 3441, 3889, 543, 28378, 547, 513, 1448, 1141, 789, 723, 547, 581, 4625, 8719, 269, 22206, 1359, 519, 1570, 2530, 568, 3983, 2614, 855, 952, 513, 1753, 610, 1920, 1281, 711, 723, 519, 1697, 21427, 543, 15646, 1562, 6142, 267, 519, 1920, 666, 1439, 909, 693, 513, 7372, 2530, 952, 711, 5265, 4988, 543, 32158, 2720, 539, 269, 1403, 596, 10519, 513, 1753, 621, 779, 3810, 5227, 602, 596, 1205, 15646, 1562, 6142, 543, 952, 596, 616, 513, 1753, 26782, 621, 779, 1655, 547, 1118, 2386, 602, 707, 6142, 786, 3382, 1022, 1761, 2530, 269, 6271, 3815, 547, 2015, 568, 1018, 519, 1858, 596, 2661, 610, 1378, 3959, 538, 568, 11630, 547, 267, 971, 607, 4993, 1373, 12155, 547, 30481, 563, 2026, 596, 949, 723, 4862, 5063, 267, 513, 13249, 3126, 540, 23967, 814, 30192, 593, 519, 9456, 9381, 4525, 540, 5245, 269, 1306, 519, 3595, 568, 1869, 5571, 693, 713, 1448, 538, 942, 649, 1810, 1406, 917, 519, 6708, 540, 519, 3441, 1175, 2943, 855, 649, 917, 602, 621, 814, 4299, 2789, 6634, 540, 14143, 540, 2244, 1519, 1082, 4872, 543, 10034, 602, 723, 1044, 8697, 543, 2759, 1055, 689, 1569, 269, 634, 13108, 729, 1256, 18611, 547, 15063, 1004, 689, 9381, 10034, 799, 1185, 1044, 17808, 538, 676, 519, 11642, 269, 898, 814, 849, 1044, 4080, 602, 519, 11642, 723, 10032, 513, 5458, 2220, 987, 540, 3662, 9249, 543, 7166, 5176, 3368, 513, 5479, 2831, 269, 1284, 689, 590, 27263, 24165, 6494, 938, 1655, 13922, 547, 1346, 4299, 676, 519, 11642, 538, 5245, 269, 1280, 1022, 3595, 3106, 4388, 543, 585, 707, 1753, 581, 2386, 547, 2638, 513, 1906, 540, 938, 3105, 21075, 827, 11642, 602, 1860, 707, 5321, 543, 3601, 563, 1692, 9605, 666, 24619, 31418, 1176, 454, 6826, 649, 776, 540, 1761, 2959, 540, 3595, 563, 27852, 568, 835, 540, 519, 1034, 5906, 1826, 540, 12469, 585, 1082, 4128, 855, 5631, 875, 11642, 1376, 543, 3262, 269, 634, 4128, 3595, 6238, 568, 711, 2141, 1480, 5470, 855, 811, 1419, 982, 711, 568, 519, 2013, 609, 513, 4080, 5354, 540, 11642, 1373, 3361, 676, 1480, 5470, 543, 32226, 3544, 540, 818, 5459, 269, 634, 1898, 5820, 540, 513, 2777, 3595, 568, 606, 27307, 2707, 543, 1166, 30100, 270, 18474, 755, 1043, 1570, 269, 634, 27307, 2707, 538, 513, 3595, 568, 2356, 1945, 899, 513, 8141, 610, 1396, 16906, 799, 1590, 581, 3905, 2614, 547, 5337, 924, 513, 1570, 269, 4033, 982, 602, 519, 2326, 602, 616, 5337, 1243, 723, 1114, 27307, 5210, 971, 607, 1957, 799, 814, 606, 27307, 10917, 540, 1957, 568, 1360, 1970, 693, 827, 476, 9610, 5232, 674, 269, 13689, 593, 1018, 2326, 616, 2282, 606, 27307, 2707, 11642, 666, 1376, 811, 3362, 855, 2899, 513, 3595, 568, 3323, 267, 1034, 2326, 786, 6633, 865, 2141, 581, 18762, 609, 5732, 1166, 30100, 1919, 563, 10712, 5803, 543, 1924, 582, 689, 9605, 28100, 666, 581, 26184, 569, 24768, 454, 6826, 649, 776, 540, 8673, 543, 865, 582, 563, 2026, 728, 689, 519, 1249, 602, 649, 782, 917, 267, 602, 3595, 3441, 666, 581, 5393, 14042, 267, 519, 8673, 543, 865, 582, 689, 519, 8781, 2326, 666, 581, 1175, 20735, 5739, 269, 4746, 11735, 689, 519, 3441, 519, 8673, 543, 865, 582, 1281, 547, 707, 3959, 267, 621, 666, 581, 5393, 5739, 547, 707, 1072, 952, 596, 4755, 547, 581, 9575, 538, 513, 3959, 602, 568, 593, 3595, 269, 3911, 5803, 543, 865, 582, 689, 2326, 4122, 1336, 538, 5321, 666, 2014, 1360, 3978, 1072, 2152, 971, 607, 8628, 3441, 547, 707, 7929, 1062, 267, 4761, 1062, 267, 543, 2295, 2175, 952, 4598, 568, 12675, 269, 5634, 1072, 2152, 666, 581, 1919, 971, 607, 1216, 344, 4064, 267, 2196, 5500, 9224, 267, 610, 513, 10770, 11522, 269, 2142, 2386, 547, 2057, 8673, 543, 865, 582, 693, 782, 3790, 950, 538, 513, 3978, 3595, 3441, 3510, 563, 27246, 540, 5600, 674, 2231, 563, 9336, 1032, 5111, 476, 271, 269, 6734, 4939, 540, 1367, 5321, 3276, 1524, 538, 519, 2475, 267, 4929, 606, 6059, 1269, 278, 5479, 538, 14796, 269, 1452, 11642, 723, 1082, 18312, 2959, 602, 666, 581, 15286, 609, 1697, 3007, 543, 1416, 269, 3371, 616, 519, 1034, 1455, 3123, 540, 2777, 11642, 538, 519, 2475, 563, 268, 18181, 630, 5379, 260, 994, 268, 1261, 908, 630, 1724, 260, 994, 268, 15379, 631, 2788, 4233, 630, 278, 260, 994, 268, 5516, 16531, 630, 278, 260, 994, 268, 7046, 4469, 877, 630, 276, 260, 994, 268, 1488, 5459, 630, 275, 260, 994, 268, 16811, 631, 2788, 4233, 630, 275, 260, 994, 268, 4033, 14333, 630, 275, 260, 994, 268, 10331, 10662, 630, 273, 260, 994, 268, 25003, 630, 273, 260, 994, 268, 22452, 630, 273, 260, 994, 268, 7849, 630, 273, 260, 994, 2026, 596, 666, 1294, 5176, 513, 5354, 540, 519, 4128, 2777, 11642, 4755, 609, 1480, 5470, 2436, 621, 581, 5986, 267, 7296, 267, 610, 818, 5459, 267, 891, 616, 2152, 602, 666, 581, 15286, 609, 1697, 1416, 543, 11009, 269, 1284, 1934, 693, 590, 27263, 24165, 540, 21035, 22193, 543, 11968, 21634, 714, 616, 2141, 6126, 547, 4196, 538, 2013, 540, 513, 3595, 267, 1022, 942, 267, 1022, 2450, 563, 10712, 5803, 543, 1924, 582, 11162, 1575, 454, 295, 611, 513, 9605, 286, 11910, 590, 27263, 24165, 2336, 10712, 5803, 543, 865, 582, 666, 2014, 3978, 3441, 538, 2182, 547, 3914, 2127, 538, 707, 1753, 269, 3776, 6791, 2636, 721, 547, 2708, 519, 6708, 540, 519, 3441, 543, 1020, 513, 3102, 1544, 540, 2962, 563, 10712, 5803, 543, 865, 582, 5013, 912, 268, 12182, 8673, 4955, 6233, 547, 16830, 2127, 543, 5580, 1377, 540, 513, 2497, 563, 268, 3911, 5803, 8928, 1472, 21818, 1949, 267, 694, 9429, 998, 519, 9475, 1031, 676, 12992, 547, 979, 689, 6989, 547, 6989, 563, 268, 634, 1826, 540, 8673, 949, 7494, 1860, 519, 11808, 1184, 454, 17843, 2010, 540, 8673, 454, 2467, 616, 1079, 1114, 2010, 540, 8673, 267, 6632, 543, 3819, 269, 1306, 513, 1267, 267, 972, 616, 18312, 2010, 540, 865, 582, 3441, 602, 666, 2049, 1310, 513, 3595, 269, 6969, 938, 11808, 1184, 666, 2253, 267, 649, 1449, 547, 1265, 519, 1808, 1826, 540, 865, 582, 602, 814, 3710, 909, 269, 634, 7738, 5773, 949, 8428, 4470, 593, 519, 2164, 267, 1934, 781, 930, 3606, 1344, 593, 602, 3248, 291, 787, 3911, 5803, 910, 7433, 543, 8381, 454, 268, 16258, 8781, 267, 1164, 5210, 267, 3002, 14380, 4061, 8673, 14380, 563, 310, 564, 3911, 5803, 910, 21311, 543, 11676, 828, 454, 268, 8899, 3002, 267, 1159, 1245, 1359, 267, 533, 2426, 550, 17627, 267, 20202, 267, 1159, 324, 776, 269, 3911, 5803, 3103, 616, 811, 2352, 547, 2973, 563, 3682, 12888, 9605, 1763, 573, 826, 910, 3812, 676, 21381, 540, 1570, 2864, 982, 689, 513, 3595, 454, 268, 12484, 1302, 15865, 267, 23209, 832, 19267, 543, 642, 7568, 8460, 267, 5393, 533, 2426, 550, 17627, 563, 5978, 3595, 11808, 2533, 616, 2139, 476, 2190, 3108, 513, 1554, 267, 20471, 596, 723, 2055, 610, 4145, 1289, 721, 693, 630, 26825, 264, 476, 5780, 278, 268, 20542, 271, 454, 30182, 8779, 540, 9605, 543, 3911, 5803, 28100, 26198, 543, 29766, 454, 10673, 1406, 7227, 547, 11177, 707, 3595, 8697, 1753, 3346, 938, 2319, 540, 4966, 2221, 256, 476, 26825, 268, 5780, 278, 268, 20542, 271, 454, 10214, 513, 1507, 3595, 1369, 513, 1753, 666, 1267, 538, 3573, 3441, 689, 8673, 543, 519, 1216, 1031, 547, 24773, 880, 519, 3595, 269, 32653, 3318, 7816, 543, 11808, 568, 1898, 538, 1931, 547, 2061, 3606, 3441, 543, 2042, 971, 607, 9044, 2208, 543, 3574, 4232, 269, 6969, 1818, 513, 1289, 547, 513, 3318, 267, 1934, 616, 930, 1919, 596, 1058, 917, 1101, 563, 763, 3328, 1942, 540, 7816, 543, 11808, 2533, 1310, 3595, 543, 8673, 3441, 568, 1269, 273, 267, 31405, 269, 634, 2698, 1942, 602, 513, 1753, 26782, 17188, 585, 971, 18203, 786, 4096, 593, 519, 4087, 543, 6708, 540, 519, 3441, 269, 1280, 1383, 267, 3595, 3441, 547, 513, 10051, 949, 1942, 811, 547, 7816, 982, 3441, 547, 513, 5008, 564, 1813, 547, 519, 13258, 540, 13868, 14427, 19970, 1115, 543, 14233, 269, 634, 856, 540, 17927, 2179, 602, 513, 1753, 26782, 17188, 547, 723, 3595, 543, 8673, 3441, 18203, 1522, 581, 4389, 676, 1753, 26782, 781, 6142, 3795, 563, 12850, 1031, 547, 24773, 880, 513, 3595, 666, 2893, 23847, 519, 6821, 543, 19683, 540, 519, 1753, 269, 634, 1216, 666, 3533, 2014, 9044, 2208, 543, 3574, 4232, 952, 519, 1216, 3884, 1405, 6569, 543, 519, 1753, 8499, 12015, 269, 1924, 582, 689, 519, 3595, 666, 2893, 23847, 543, 12962, 4376, 15081, 565, 560, 1229, 269, 12333, 11808, 568, 2877, 538, 1931, 547, 32006, 720, 519, 29939, 902, 607, 1134, 607, 13274, 839, 267, 1951, 704, 625, 543, 24095, 269, 3911, 5803, 32396, 543, 30851, 666, 829, 341, 1228, 3592, 3388, 538, 513, 1753, 267, 1519, 29939, 902, 267, 15790, 1115, 543, 678, 13903, 267, 13274, 839, 543, 7802, 269, 12333, 11808, 568, 1898, 538, 1931, 547, 4688, 1346, 3688, 269, 634, 8673, 666, 849, 3441, 519, 1753, 781, 2011, 28954, 267, 4611, 538, 28067, 30851, 1142, 942, 519, 19460, 610, 2011, 30690, 7140, 593, 269, 26198, 543, 7816, 2533, 616, 2877, 547, 2973, 519, 28954, 1354, 519, 25256, 1062, 568, 1031, 1586, 563, 763, 3677, 519, 1858, 540, 513, 1753, 8697, 676, 8673, 543, 3595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 17471, 1436, 543, 3395, 6735, 3196, 3549, 547, 1413, 585, 1007, 6990, 585, 741, 1870, 269, 4139, 4238, 2285, 3549, 606, 4316, 547, 946, 741, 2200, 811, 7561, 543, 8195, 519, 3486, 1436, 3157, 2333, 513, 6109, 30778, 4220, 543, 7580, 2042, 269, 634, 3903, 540, 606, 3486, 4640, 11225, 513, 2754, 30778, 14422, 593, 11450, 1646, 267, 799, 616, 2556, 585, 513, 18334, 1620, 540, 1007, 6990, 8072, 2934, 267, 543, 849, 585, 13302, 7580, 543, 5010, 1870, 4220, 269, 634, 7580, 1184, 568, 6766, 676, 513, 1297, 540, 2188, 267, 971, 607, 12250, 543, 1914, 19205, 267, 543, 849, 1870, 5498, 2758, 25727, 543, 3084, 2528, 269, 15613, 1646, 543, 6388, 1927, 609, 7123, 3060, 1894, 5581, 2754, 30778, 1967, 538, 513, 1007, 2344, 269, 634, 1957, 6799, 519, 1292, 2164, 540, 606, 12170, 1382, 267, 13991, 547, 9382, 540, 3486, 3549, 8072, 1598, 1538, 625, 543, 2188, 267, 7133, 7580, 3903, 543, 6388, 1184, 538, 519, 6739, 2344, 563, 23562, 4868, 21144, 4574, 4983, 519, 1533, 540, 2038, 6689, 1646, 1851, 1016, 25781, 4000, 781, 1453, 269, 14430, 1865, 519, 1533, 540, 1762, 1453, 538, 1016, 25781, 4000, 282, 17568, 2038, 6689, 1646, 630, 25929, 264, 25422, 734, 30036, 2738, 538, 5697, 3979, 2477, 282, 2038, 6689, 1416, 543, 2069, 538, 1016, 25781, 4000, 734, 6343, 621, 1131, 1491, 547, 2743, 519, 7085, 3317, 1756, 4886, 17644, 282, 2634, 1646, 543, 661, 7374, 734, 320, 2013, 585, 5092, 282, 1007, 6937, 547, 661, 7374, 734, 18244, 4299, 676, 7486, 25266, 282, 661, 7374, 538, 4000, 734, 320, 3140, 5133, 282, 630, 332, 529, 264, 24483, 661, 7374, 538, 4000, 734, 1492, 3196, 540, 2199, 543, 2518, 24500, 282, 4651, 532, 734, 1492, 1909, 540, 2367, 538, 9870, 1453, 538, 4000, 734, 3835, 532, 909, 519, 824, 3368, 540, 519, 6607, 282, 661, 7374, 3609, 734, 320, 13354, 2079, 538, 19168, 267, 24381, 527, 3780, 267, 543, 21601, 28992, 282, 29355, 661, 7374, 3609, 4058, 538, 8071, 25869, 4639, 4000, 282, 14775, 547, 519, 4161, 540, 5870, 519, 2115, 540, 1453, 896, 1614, 538, 4000, 282, 10962, 840, 27146, 776, 5049, 538, 4000, 734, 641, 1636, 684, 885, 543, 2591, 282, 8537, 2069, 734, 320, 24381, 23790, 3210, 547, 519, 834, 514, 6254, 2924, 540, 519, 1126, 21968, 15970, 2591, 585, 519, 4657, 3979, 1920, 282, 661, 7374, 543, 7486, 25266, 734, 1492, 21777, 5752, 543, 3609, 4161, 282, 5885, 1762, 1453, 538, 4655, 543, 2022, 20813, 12787, 3871, 734, 18876, 4027, 543, 26447, 1134, 5630, 538, 4911, 7637, 282, 7580, 2792, 538, 2038, 6689, 1646, 3292, 734, 1492, 2013, 540, 24063, 282, 519, 5348, 1458, 540, 6484, 543, 661, 7374, 7459, 538, 1016, 25781, 4000, 282, 519, 1764, 540, 661, 7374, 3292, 593, 14774, 7694, 543, 4587, 1453, 781, 1153, 20343, 538, 15057, 282, 519, 8496, 6652, 320, 661, 7374, 1982, 734, 14708, 513, 3017, 282, 16046, 3609, 11407, 547, 4948, 1272, 538, 15057, 734, 11069, 9711, 540, 683, 565, 28515, 4507, 593, 2038, 2069, 543, 1126, 516, 2130, 282, 2146, 2861, 4485, 602, 960, 538, 8109, 543, 8828, 4000, 282, 2436, 2038, 6689, 3292, 666, 581, 20019, 4264, 538, 4000, 282, 543, 513, 2468, 12268, 1935, 547, 5009, 661, 7374, 4390, 538, 4000, 734, 25929, 29468, 267, 3486, 19014, 267, 543, 519, 7216, 19974, 4886, 14044, 2160, 269, 25661, 807, 568, 8048, 5274, 4886, 8859, 626, 538, 519, 2622, 7813, 781, 5274, 4886, 4972, 267, 4000, 16323, 269, 623, 775, 568, 10615, 540, 519, 7216, 19974, 4886, 14044, 2160, 543, 7905, 538, 519, 3427, 540, 4132, 543, 15272, 5516, 267, 20513, 540, 5274, 543, 4317, 4886, 267, 693, 519, 2160, 540, 15117, 269, 27213, 568, 10615, 9622, 7978, 585, 519, 13693, 894, 6828, 593, 7216, 19974, 5516, 543, 4886, 269, 12039, 563, 396, 351, 327, 3264, 2376, 568, 13991, 547, 519, 2079, 540, 2257, 267, 2069, 543, 1870, 607, 1883, 12250, 8069, 540, 3540, 3961, 538, 4207, 2486, 269, 634, 3540, 3961, 568, 9138, 607, 513, 1641, 268, 15953, 5872, 1063, 606, 1367, 543, 513, 1533, 269, 4746, 840, 1718, 1431, 585, 29159, 540, 1533, 1379, 538, 519, 2361, 540, 18523, 3961, 8108, 616, 5462, 563, 1103, 476, 1220, 277, 267, 6576, 29567, 922, 6735, 1876, 543, 3773, 519, 2035, 540, 2048, 3712, 29193, 17282, 685, 543, 922, 6057, 269, 901, 729, 2938, 607, 606, 3801, 547, 2232, 519, 1455, 1966, 540, 2048, 10940, 6252, 1143, 685, 1851, 10909, 538, 13671, 6080, 269, 31379, 21787, 602, 519, 11268, 540, 713, 11865, 1131, 1831, 21915, 26920, 547, 2229, 7939, 540, 5777, 269, 769, 713, 1957, 649, 4983, 519, 11268, 1995, 547, 4266, 267, 3168, 2523, 5702, 693, 24476, 13684, 593, 10909, 538, 519, 3282, 2872, 269, 2368, 7965, 543, 8374, 4810, 538, 11268, 616, 21845, 267, 543, 930, 4244, 2994, 585, 5466, 1884, 545, 558, 7065, 1438, 7180, 538, 13671, 6080, 5941, 269, 0, 347, 23210, 1230, 26810, 540, 595, 832, 3821, 2008, 347, 8333, 32752, 543, 3401, 2008, 763, 3943, 21037, 540, 595, 832, 3821, 3576, 1747, 1282, 476, 12293, 279, 543, 476, 12293, 280, 950, 519, 595, 832, 4618, 6243, 729, 13026, 676, 3943, 4229, 896, 519, 4971, 540, 519, 1290, 974, 632, 966, 14513, 563, 1103, 5437, 476, 11260, 276, 267, 17131, 638, 1446, 14529, 10008, 29064, 595, 832, 3821, 513, 19988, 4182, 267, 519, 595, 832, 4618, 6243, 267, 4830, 689, 519, 6243, 540, 2637, 10394, 269, 1261, 2813, 519, 595, 832, 4618, 9139, 267, 799, 729, 519, 1101, 11156, 2854, 538, 7969, 896, 21654, 3741, 267, 1519, 519, 1101, 6388, 540, 4775, 27049, 267, 2663, 2847, 12097, 676, 519, 3943, 950, 789, 3576, 936, 519, 6532, 538, 476, 12293, 280, 269, 634, 14081, 2813, 606, 7245, 543, 5126, 1062, 267, 543, 8547, 606, 7952, 563, 293, 8896, 4607, 632, 795, 675, 1852, 540, 519, 6532, 540, 595, 832, 3821, 607, 513, 32410, 689, 519, 2637, 334, 3150, 6243, 3842, 519, 15521, 540, 12411, 320, 14792, 538, 476, 12293, 279, 269, 2637, 10394, 1869, 10645, 9562, 540, 519, 6532, 267, 4352, 2094, 476, 11260, 276, 267, 595, 832, 15092, 1185, 6913, 5691, 7115, 543, 1185, 2854, 513, 595, 832, 4618, 9139, 630, 514, 7969, 1040, 2991, 10205, 532, 1022, 4126, 540, 23232, 595, 832, 3821, 676, 3196, 267, 519, 2637, 334, 3150, 8359, 547, 6133, 741, 2924, 936, 519, 6532, 547, 5333, 945, 941, 16994, 547, 2744, 1007, 8513, 547, 5372, 8513, 4503, 1282, 519, 18599, 13012, 262, 2782, 563, 1103, 1876, 543, 2229, 267, 632, 795, 675, 6257, 2853, 602, 616, 16155, 18931, 267, 7488, 2436, 519, 2259, 6818, 538, 4641, 269, 769, 4334, 267, 632, 1249, 334, 6257, 3871, 602, 2291, 538, 4641, 267, 1256, 952, 711, 16155, 18931, 269, 634, 2474, 616, 1419, 1031, 547, 4334, 1114, 7653, 281, 585, 513, 30351, 658, 1383, 267, 834, 296, 917, 602, 267, 632, 795, 675, 267, 713, 568, 9277, 547, 581, 513, 18736, 2603, 267, 855, 1631, 602, 519, 6360, 814, 2451, 2185, 3952, 540, 1216, 1934, 267, 621, 781, 513, 632, 1249, 334, 10977, 7535, 2668, 1677, 2417, 2491, 267, 1256, 952, 519, 4191, 1472, 519, 27876, 18736, 2603, 2161, 834, 303, 1046, 532, 20769, 257, 621, 568, 834, 514, 1249, 257, 513, 10977, 7535, 563, 763, 15521, 540, 12411, 320, 14792, 729, 11943, 593, 2904, 476, 1428, 267, 476, 12293, 279, 693, 12411, 320, 14792, 1063, 519, 6243, 540, 2637, 10394, 543, 5333, 269, 2637, 10394, 2322, 595, 832, 3821, 538, 32410, 547, 5333, 563, 5715, 11163, 568, 513, 2783, 540, 513, 1268, 267, 4182, 267, 2197, 267, 610, 1533, 538, 799, 922, 7264, 543, 2551, 267, 610, 930, 6712, 23476, 267, 3635, 1582, 3766, 17922, 267, 543, 2356, 16285, 267, 936, 519, 8513, 269, 634, 6587, 540, 7115, 568, 519, 4567, 540, 513, 8200, 8513, 563, 293, 8896, 781, 3355, 18086, 8959, 1310, 513, 1713, 14710, 729, 11124, 693, 519, 11135, 540, 16907, 2998, 538, 5239, 476, 12293, 279, 269, 5333, 771, 6312, 3481, 1804, 2338, 540, 12927, 906, 267, 11926, 519, 2450, 540, 741, 7952, 972, 547, 476, 2190, 267, 1822, 269, 634, 595, 832, 4618, 7952, 11124, 513, 2101, 1305, 3724, 693, 519, 11135, 540, 623, 517, 974, 8734, 340, 543, 519, 3943, 4229, 4166, 936, 3757, 519, 6532, 4352, 595, 832, 4618, 4229, 941, 711, 4625, 1016, 706, 539, 2394, 519, 1739, 1032, 543, 26742, 19631, 17061, 540, 18326, 4797, 563, 763, 11135, 540, 16907, 2998, 729, 513, 6370, 1063, 595, 832, 4618, 543, 3943, 4229, 936, 1852, 540, 519, 4884, 540, 16907, 2998, 593, 476, 279, 5239, 476, 12293, 279, 563, 763, 11135, 540, 623, 517, 974, 8734, 340, 3576, 1747, 593, 2904, 476, 279, 543, 476, 280, 476, 12293, 280, 1063, 10424, 3943, 4229, 896, 519, 1290, 974, 632, 966, 14513, 267, 513, 19023, 3318, 17199, 609, 606, 4274, 593, 7823, 13137, 593, 1010, 5234, 267, 543, 519, 5065, 595, 832, 15092, 896, 30408, 6428, 545, 31899, 269, 898, 729, 519, 6370, 602, 3927, 8694, 519, 27552, 4458, 6040, 595, 832, 4618, 6243, 543, 8118, 519, 1259, 547, 24509, 566, 676, 5333, 519, 1739, 1032, 563, 763, 3943, 12289, 15427, 519, 595, 832, 4618, 19822, 538, 3703, 6214, 269, 4014, 789, 2366, 5728, 5351, 547, 519, 595, 832, 15092, 267, 519, 3703, 2229, 8359, 711, 547, 957, 547, 2061, 519, 6532, 781, 13567, 269, 634, 6205, 540, 519, 595, 832, 4618, 6243, 267, 17131, 638, 1446, 14529, 10008, 267, 4682, 883, 24815, 538, 6628, 1141, 646, 7283, 2394, 519, 3943, 7169, 4847, 1864, 547, 2132, 547, 595, 832, 3821, 269, 3703, 10136, 13604, 18060, 539, 538, 595, 832, 3821, 1063, 476, 9692, 275, 1700, 9692, 277, 267, 1141, 789, 2813, 519, 17454, 4211, 832, 4618, 8003, 267, 543, 538, 476, 8687, 275, 950, 789, 8815, 519, 15521, 540, 645, 770, 807, 269, 11374, 519, 6837, 540, 21499, 1852, 540, 519, 10195, 941, 8120, 547, 519, 17468, 3943, 16313, 338, 563, 763, 595, 832, 4618, 19822, 729, 606, 2680, 538, 3703, 6214, 1282, 476, 12293, 279, 1700, 7597, 269, 898, 729, 10511, 18469, 676, 519, 12289, 540, 519, 6532, 540, 595, 832, 3821, 676, 5333, 269, 634, 3703, 2229, 896, 519, 16099, 540, 717, 2761, 517, 8959, 547, 26544, 267, 585, 799, 621, 729, 4922, 10404, 2213, 543, 729, 835, 540, 1082, 2188, 602, 8329, 547, 922, 31774, 538, 2038, 476, 10082, 271, 563, 23742, 2089, 334, 21293, 17131, 638, 1446, 1019, 14529, 10008, 729, 513, 595, 832, 4618, 26934, 267, 2829, 2006, 543, 4108, 6205, 945, 729, 693, 519, 21282, 540, 4187, 5322, 1996, 519, 2637, 334, 3150, 543, 2663, 3943, 4341, 538, 519, 6532, 269, 1261, 2968, 519, 7022, 540, 519, 15445, 7027, 540, 519, 4937, 10791, 540, 519, 4658, 540, 595, 832, 3821, 267, 543, 849, 2966, 543, 5206, 519, 9139, 540, 519, 1533, 563, 763, 3943, 7169, 729, 513, 1974, 540, 2484, 23568, 1514, 543, 2797, 30331, 10052, 538, 5333, 543, 922, 10125, 4098, 538, 476, 9965, 280, 269, 634, 7169, 24057, 4319, 519, 21257, 267, 3964, 513, 14081, 267, 10776, 7458, 10795, 5712, 540, 2797, 24187, 267, 543, 6368, 19411, 730, 538, 513, 28983, 1222, 896, 19167, 945, 4547, 1082, 540, 922, 3741, 547, 2127, 646, 22482, 538, 5375, 2342, 543, 3564, 269, 27837, 676, 12666, 543, 9097, 2093, 267, 519, 7169, 25340, 12012, 519, 1576, 540, 2413, 1686, 267, 24254, 519, 2518, 7771, 540, 6207, 16313, 625, 1247, 13868, 873, 609, 1065, 28362, 923, 543, 12666, 1629, 31097, 269, 3414, 519, 21829, 12668, 267, 621, 25793, 14414, 513, 5951, 540, 2518, 7526, 602, 6905, 689, 519, 12144, 547, 519, 5664, 5101, 269, 16024, 2103, 4922, 2543, 519, 7169, 607, 835, 540, 519, 1034, 1271, 2621, 538, 1480, 1686, 563, 763, 12289, 543, 13567, 1185, 1256, 811, 7096, 4539, 585, 5333, 3294, 269, 1879, 19167, 12844, 777, 27525, 729, 4535, 593, 595, 832, 3821, 538, 476, 12293, 280, 267, 646, 8850, 2968, 513, 2067, 23899, 3943, 12504, 269, 5637, 1010, 3237, 30408, 12756, 11370, 517, 777, 27525, 543, 12756, 2913, 714, 807, 10548, 565, 3626, 8678, 519, 2199, 4187, 543, 10692, 547, 2226, 7115, 267, 1256, 950, 12756, 729, 9176, 609, 1864, 269, 4014, 6659, 607, 513, 595, 832, 4618, 28929, 267, 19167, 7930, 5828, 1010, 10121, 2906, 2509, 519, 2898, 540, 5333, 267, 7674, 538, 519, 3943, 8136, 269, 1261, 4682, 593, 547, 1831, 14610, 540, 22163, 5333, 267, 7550, 519, 16431, 540, 519, 3943, 7169 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 994, 7775, 4226, 281, 476, 24241, 547, 476, 26326, 5195, 630, 3607, 273, 547, 476, 5325, 277, 5998, 1070, 20916, 476, 7906, 269, 277, 5232, 3448, 547, 519, 20337, 454, 763, 10198, 540, 519, 32199, 538, 10739, 3459, 538, 476, 1960, 279, 269, 634, 32199, 814, 811, 982, 476, 1911, 3334, 543, 786, 2154, 476, 4510, 2230, 4148, 2074, 676, 693, 2547, 1614, 2230, 6472, 630, 11898, 29060, 267, 590, 1195, 15120, 543, 6739, 1160, 2023, 15177, 264, 547, 5838, 519, 3334, 883, 10739, 269, 2290, 3620, 4348, 24239, 2230, 19789, 802, 267, 2698, 532, 476, 272, 267, 280, 736, 812, 3620, 2293, 267, 786, 581, 2838, 547, 27043, 543, 2226, 519, 32199, 267, 799, 568, 16516, 585, 12032, 538, 476, 1220, 277, 543, 786, 723, 606, 17191, 1272, 540, 476, 1015, 1296, 693, 513, 15810, 2698, 1942, 540, 1269, 3374, 547, 1269, 4391, 5479, 269, 1879, 6192, 267, 519, 32199, 786, 581, 2111, 547, 2777, 909, 547, 5722, 20691, 269, 898, 786, 723, 519, 1739, 2101, 3334, 912, 6944, 1503, 21602, 630, 313, 776, 320, 264, 610, 23398, 595, 14417, 13332, 910, 3568, 27668, 630, 18314, 15177, 9817, 1070, 4971, 543, 1852, 1949, 454, 301, 3941, 630, 22764, 264, 910, 1921, 2101, 13980, 540, 519, 32199, 454, 306, 16291, 21602, 630, 313, 557, 345, 6767, 264, 910, 3568, 2713, 20453, 543, 1272, 1489, 585, 2038, 2694, 540, 519, 32199, 267, 546, 12177, 16788, 585, 18776, 759, 6269, 569, 9635, 543, 15177, 9817, 585, 10182, 1852, 543, 556, 28967, 739, 454, 26199, 8534, 14898, 630, 338, 1460, 264, 910, 2270, 3621, 3937, 543, 513, 18951, 6186, 547, 1847, 31139, 593, 606, 3544, 3760, 454, 299, 1987, 2218, 21602, 910, 25099, 1606, 23932, 557, 1604, 9744, 585, 1382, 593, 2890, 6588, 6143, 267, 1272, 9443, 267, 3047, 9443, 543, 2230, 9443, 454, 23871, 1380, 910, 1279, 267, 13486, 6438, 12636, 585, 1140, 2286, 13838, 267, 31139, 338, 543, 1949, 3937, 454, 300, 9394, 4419, 6005, 3590, 910, 18951, 1062, 602, 786, 1847, 2059, 519, 959, 1380, 282, 9280, 609, 6552, 6186, 585, 10198, 543, 5826, 2238, 454, 9558, 2536, 30863, 910, 513, 590, 1195, 15120, 23555, 543, 513, 595, 4319, 17776, 27990, 630, 311, 268, 4343, 264, 585, 6595, 27549, 454, 16978, 3740, 5295, 3590, 910, 3859, 8440, 543, 3937, 585, 10451, 267, 13936, 267, 5883, 543, 26084, 5122, 1379, 454, 20124, 21806, 8331, 32199, 538, 10739, 6029, 630, 9008, 547, 5377, 264, 19219, 268, 272, 267, 6513, 21602, 267, 6796, 21602, 543, 513, 18776, 3761, 6928, 630, 20826, 476, 1220, 271, 1916, 4002, 5239, 476, 4029, 267, 476, 1220, 271, 267, 519, 1101, 12284, 540, 519, 32199, 630, 3333, 1144, 2630, 264, 729, 9250, 689, 6576, 269, 634, 1614, 2173, 1897, 12284, 786, 6108, 3592, 2185, 3275, 20829, 519, 32199, 267, 1437, 908, 1949, 267, 10647, 6901, 543, 16475, 1614, 29060, 1212, 9749, 585, 2417, 32199, 4070, 563, 20124, 21806, 8331, 634, 1101, 32199, 12284, 630, 3847, 547, 1318, 2567, 8184, 11653, 5395, 613, 328, 918, 20891, 1446, 341, 267, 5692, 19524, 5261, 2701, 23311, 543, 590, 1195, 15120, 19524, 962, 19441, 717, 573, 7999, 14150, 563, 763, 1101, 12284, 8120, 547, 3047, 4728, 476, 2641, 267, 476, 1220, 272, 269, 634, 32199, 786, 581, 812, 2740, 676, 513, 3126, 540, 1614, 2173, 1897, 1212, 9749, 912, 290, 4319, 476, 273, 910, 4728, 547, 4873, 267, 476, 1220, 272, 454, 290, 4319, 476, 274, 910, 4873, 267, 476, 1220, 272, 547, 5130, 267, 476, 1220, 273, 454, 290, 4319, 476, 275, 910, 5130, 267, 476, 1220, 273, 547, 15017, 763, 1212, 9749, 585, 7766, 13485, 723, 711, 1044, 9307, 2943, 269, 1280, 1631, 267, 519, 8653, 540, 1142, 12284, 781, 8184, 568, 1305, 693, 1614, 547, 5722, 3275, 269, 1879, 519, 772, 2529, 11607, 321, 16742, 3110, 2787, 9074, 568, 3773, 538, 476, 1220, 276, 267, 519, 32199, 786, 3180, 909, 547, 5722, 20691, 563, 1692, 519, 32199, 3718, 454, 2414, 2844, 513, 8628, 1604, 538, 9018, 2230, 1141, 1004, 666, 2661, 543, 960, 267, 519, 32199, 1590, 581, 2111, 547, 1683, 519, 1739, 1919, 912, 520, 4380, 1877, 1852, 267, 3761, 543, 9657, 454, 335, 1886, 13955, 910, 1847, 519, 6728, 538, 10739, 454, 20664, 543, 9477, 910, 2911, 609, 2666, 2861, 8184, 27196, 454, 333, 3572, 566, 910, 1265, 922, 1259, 1472, 454, 28669, 619, 910, 11282, 543, 6023, 1344, 454, 637, 6269, 569, 910, 2409, 540, 3478, 1007, 7727, 543, 9427, 3653, 454, 655, 1120, 1890, 9101, 8905, 454, 2171, 1491, 585, 11292, 782, 540, 519, 1919, 602, 519, 3047, 543, 938, 2486, 2488, 547, 1832, 721, 9800, 269, 1284, 723, 513, 3586, 3761, 540, 4195, 2011, 269, 634, 3327, 8166, 602, 649, 17938, 1446, 4991, 13381, 676, 2371, 269, 1284, 723, 513, 1804, 3761, 540, 4195, 1216, 689, 8933, 267, 12647, 543, 12535, 602, 649, 946, 585, 6704, 267, 29636, 267, 5986, 543, 27445, 269, 1284, 616, 3636, 539, 676, 28909, 610, 519, 3141, 543, 22799, 676, 2011, 14555, 269, 1284, 723, 3595, 4027, 689, 2199, 3595, 10473, 269, 2353, 540, 891, 1919, 1590, 581, 2966, 883, 519, 32199, 563, 4263, 4380, 1877, 6513, 267, 18242, 543, 27822, 454, 22349, 1258, 2246, 338, 593, 4604, 519, 32199, 991, 547, 723, 519, 1739, 912, 4263, 4380, 1877, 2147, 547, 3047, 781, 454, 27793, 8166, 602, 789, 17938, 1446, 6569, 454, 6944, 3133, 908, 610, 10250, 9362, 6569, 454, 31863, 18519, 1604, 454, 5978, 5790, 568, 513, 7848, 540, 9362, 4534, 476, 4281, 2600, 9436, 267, 476, 2641, 2600, 5135, 267, 476, 272, 2600, 824, 9362, 4534, 693, 513, 2604, 540, 476, 1691, 7273, 30032, 273, 630, 272, 693, 332, 1040, 634, 32199, 20691, 786, 991, 513, 2147, 5790, 269, 1677, 3035, 713, 267, 5135, 543, 9436, 786, 723, 547, 581, 13859, 912, 306, 13521, 4492, 5135, 18402, 610, 5135, 22250, 786, 581, 14616, 547, 1118, 3606, 5135, 267, 952, 2838, 563, 763, 2230, 29060, 610, 18776, 3761, 9635, 786, 3142, 9436, 689, 3047, 267, 543, 4558, 621, 538, 5007, 13688, 593, 519, 6728, 563, 1103, 2663, 11775, 540, 4070, 267, 5007, 13688, 786, 3761, 5135, 282, 891, 13688, 666, 581, 1201, 2683, 676, 519, 2230, 29060, 269, 769, 519, 3803, 3942, 267, 606, 3606, 14793, 3974, 5135, 11718, 786, 581, 3773, 547, 519, 6728, 563, 763, 2604, 1852, 10198, 630, 320, 1062, 540, 15450, 543, 17901, 264, 786, 3575, 519, 9436, 543, 5135, 538, 519, 1318, 21159, 267, 6895, 519, 11626, 2604, 543, 1244, 816, 584, 1125, 519, 6728, 950, 2556, 547, 2061, 936, 12304, 675, 610, 547, 24773, 880, 513, 3595, 1282, 606, 6595, 563, 288, 3327, 8166, 8851, 10198, 630, 320, 3126, 540, 15135, 540, 2027, 1570, 264, 786, 10110, 3327, 8166, 543, 5305, 621, 883, 9018, 2230, 269, 769, 1840, 267, 19307, 3114, 3327, 8166, 666, 8651, 666, 4894, 3327, 8166, 676, 32232, 621, 609, 16864, 28355, 563, 763, 10250, 8764, 656, 1852, 1062, 786, 6882, 19970, 2011, 547, 4894, 10250, 30851, 543, 19979, 6464, 689, 20984, 267, 29908, 543, 856, 326, 23035, 269, 1306, 513, 19307, 267, 519, 5739, 23606, 6882, 786, 849, 581, 1031, 563, 763, 6728, 781, 8022, 1062, 786, 1852, 519, 11195, 543, 32694, 519, 5790, 2429, 519, 6728, 563, 7661, 267, 519, 2101, 25499, 2555, 10045, 786, 7683, 6895, 519, 2179, 543, 1826, 540, 9362, 538, 519, 19970, 2011, 267, 543, 1852, 519, 5790, 3761, 543, 9657, 1949, 563, 24916, 2011, 267, 1216, 568, 519, 1034, 1271, 3693, 20829, 519, 32199, 269, 21231, 267, 519, 2230, 29060, 543, 18776, 3761, 6472, 786, 3142, 1216, 689, 3047, 269, 2201, 519, 32199, 267, 1216, 786, 581, 3810, 24721, 269, 1703, 786, 581, 1100, 1279, 267, 29413, 29636, 269, 769, 1249, 267, 1034, 20691, 1205, 676, 609, 26703, 31725, 269, 634, 1216, 6051, 543, 2359, 1016, 17882, 786, 2445, 267, 22120, 543, 15814, 1216, 689, 1585, 2959, 1519, 912, 308, 9068, 910, 689, 519, 20691, 543, 689, 8047, 2831, 593, 4580, 454, 3891, 908, 543, 9023, 1949, 454, 290, 629, 514, 2011, 910, 7509, 17938, 4705, 676, 20691, 543, 8047, 2831, 454, 763, 1216, 6051, 543, 2359, 1016, 17882, 5161, 540, 1585, 7873, 839, 619, 267, 12086, 543, 1216, 1625, 13294, 269, 634, 1216, 786, 581, 1031, 585, 6704, 543, 9023, 5122, 1949, 269, 901, 1062, 568, 711, 476, 1911, 2600, 3608, 267, 543, 1216, 786, 581, 4503, 998, 519, 18479, 19241, 1258, 5135, 11718, 267, 2011, 331, 4169, 543, 3327, 8166, 8851, 1949, 269, 4826, 786, 581, 21237, 25579, 1639, 689, 3047, 269, 1717, 267, 713, 1062, 786, 7494, 2569, 519, 2179, 540, 1216, 2877, 689, 3047, 563, 11073, 518, 2230, 568, 606, 5393, 4411, 1604, 267, 543, 5210, 786, 4268, 20427, 538, 1114, 2694, 540, 519, 32199, 269, 1411, 1522, 1589, 602, 8022, 519, 32199, 1131, 581, 513, 1966, 269, 1717, 267, 519, 5907, 3937, 12958, 811, 982, 2614, 3002, 585, 519, 6728, 269, 634, 1966, 568, 3478, 7759, 540, 519, 4430, 3002, 269, 1924, 519, 2837, 1852, 1062, 814, 547, 4163, 856, 1079, 2101, 3252, 4534, 26084, 3002, 1141, 621, 568, 2877, 593, 519, 6728, 543, 3478, 7759, 540, 519, 4430, 269, 1677, 798, 713, 267, 519, 32199, 814, 1079, 2409, 547, 6023, 2837, 1852, 912, 27879, 633, 2409, 910, 3622, 2241, 282, 6023, 1507, 3002, 13907, 543, 2154, 2370, 5826, 454, 1231, 6819, 2326, 267, 2627, 23541, 267, 19267, 910, 2569, 3002, 2530, 998, 519, 6821, 540, 519, 1585, 13838, 267, 1175, 899, 707, 1753, 13471, 454, 19491, 3740, 28909, 910, 946, 30788, 13463, 730, 12904, 899, 513, 547, 2120, 547, 3002, 1585, 2127, 454, 17742, 12992, 910, 946, 5277, 20342, 538, 513, 10612, 547, 4483, 3002, 689, 513, 3636, 1858, 547, 513, 4411, 1858, 936, 2110, 9883, 269, 634, 20342, 18493, 919, 693, 519, 3636, 1439, 540, 519, 10612, 267, 12599, 547, 519, 4411, 1439, 543, 7873, 5151, 267, 4758, 909, 3002, 282, 1287, 519, 5277, 12599, 1394, 547, 519, 3636, 1439, 2059, 519, 6821, 540, 519, 10612, 630, 5115, 16736, 2962, 1916, 30874, 2409, 910, 811, 1950, 282, 946, 5714, 547, 6023, 1804, 3002, 13907, 282, 2154, 5826, 454, 322, 1245, 10824, 910, 4496, 10824, 602, 2445, 3002, 676, 1463, 3346, 609, 3937, 610, 26634, 454, 17742, 9401, 13377, 910, 2445, 3002, 689, 3937, 1210, 5714, 269, 634, 3937, 10237, 919, 3002, 547, 513, 5714, 630, 2459, 8205, 1070, 799, 538, 2490, 10596, 3002, 593, 547, 1216, 269, 5637, 12862, 616, 29253, 543, 973, 597, 1529, 730, 547, 4894, 3002, 563, 335, 7927, 267, 3515, 267, 17901, 910, 3560, 519, 6394, 3002, 689, 835, 1858, 547, 1776, 454, 17742, 18349, 4559, 910, 1804, 267, 13617, 539, 3889, 267, 2147, 547, 3859, 8440, 267, 602, 2234, 5573, 519, 6394, 3002, 547, 9018, 2230, 454, 2690, 19970, 2011, 267, 519, 2837, 543, 11195, 1852, 1062, 6933, 919, 543, 12086, 2011, 267, 18788, 1216, 630, 21065, 7190, 264, 543, 15387, 513, 3586, 2837, 2039, 269, 7102, 6394, 1216, 4422, 547, 519, 1216, 6051, 543, 2359, 1062, 563, 763, 2230, 29060, 543, 18776, 3761, 9635, 786, 3142, 1426, 547, 519, 32199, 269, 5253, 2501, 538, 1896, 3029, 630, 1372, 5139, 3603, 267, 1970, 7509, 267, 3002, 3613, 8494, 1242, 267, 23735, 7007, 267, 2067, 267, 4195, 1040, 634, 32199, 814, 513, 7523, 2917, 630, 18145, 7770, 264, 9280, 609, 519, 1739, 912, 15933, 4859, 735, 25902, 454, 288, 1426, 7041, 1858, 454, 8368, 609, 27047, 6493, 630, 14259, 1186, 267, 9087, 1054, 9529, 264, 865, 519, 20691, 798, 711, 10581, 2476, 454, 300, 13926, 911, 903, 602, 3247, 519, 1426, 15004, 543, 27022, 689, 13735, 2476, 454, 763, 2136, 2276, 543, 6576, 723, 1142, 8815, 547, 3761, 3368, 540, 519, 1426, 585, 519, 12284, 563, 12024, 1022, 1753, 267, 519, 32199, 1590, 581, 6854, 2973, 269, 901, 568, 2523, 1271, 538, 2230, 267, 1141, 13735, 13897, 543, 11935, 1223, 1459, 513, 9651, 269, 654, 770, 525, 616, 1500, 689, 7738, 267, 4189, 267, 960, 543, 2123, 9882, 269, 1280, 2489, 2777, 2193, 22135, 267, 20691, 786, 946, 1585, 530, 6346, 630, 342, 564, 267, 3819, 267, 5958, 267, 28052, 550, 267, 21149, 656, 1070, 28052, 757, 543, 6632, 7933, 787, 12511, 2973, 619, 547, 2973, 7252, 267, 12086, 543, 2933, 269, 2558, 1662, 786, 581, 6394, 538, 11435, 267, 588, 15735, 538, 513, 18776, 3761, 6928, 543, 8120, 547, 3047, 585, 12871, 269, 20348, 3653, 689, 519, 16003, 568, 11741, 539, 267, 12015, 543, 6740, 538, 11435, 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 ]
[ 4311, 3052, 322, 274, 3287, 267, 7755, 4917, 3546, 1535, 815, 674, 6155, 1886, 719, 3287, 267, 1582, 6155, 1886, 719, 267, 2866, 284, 1345, 6745, 20995, 994, 3546, 4626, 788, 2002, 338, 28177, 2109, 6910, 3287, 2020, 2018, 2132, 4626, 788, 2002, 338, 28177, 2109, 454, 7884, 1607, 3060, 568, 513, 1826, 540, 717, 290, 301, 269, 898, 814, 1614, 717, 290, 301, 6106, 267, 1142, 609, 513, 1114, 1297, 540, 6456, 4559, 630, 333, 327, 573, 272, 267, 562, 327, 573, 273, 267, 562, 327, 573, 274, 1040, 634, 6749, 719, 2557, 568, 9138, 676, 519, 2387, 17840, 719, 319, 9936, 269, 634, 2387, 339, 574, 788, 2002, 338, 319, 9936, 11887, 519, 1297, 540, 4626, 788, 2002, 338, 585, 799, 11236, 616, 1500, 780, 763, 2387, 3453, 319, 1505, 11225, 519, 4464, 1780, 540, 519, 3060, 269, 898, 10039, 519, 1234, 299, 308, 11852, 1599, 547, 519, 3977, 540, 1142, 717, 290, 301, 4494, 267, 4553, 676, 6749, 719, 2834, 1436, 269, 634, 11236, 585, 1142, 4626, 788, 2002, 616, 6740, 538, 519, 2387, 339, 574, 788, 2002, 338, 28177, 2109, 319, 1592, 267, 799, 568, 8120, 693, 519, 1439, 780, 1103, 5758, 267, 1620, 519, 9906, 8416, 585, 8899, 268, 4910, 1828, 11020, 12472, 3004, 915, 800, 3340, 513, 4396, 5748, 538, 8849, 5121, 267, 11852, 3252, 267, 6749, 719, 2834, 1436, 267, 543, 717, 290, 28213, 269, 1635, 8840, 1524, 1142, 1523, 543, 3695, 621, 538, 1469, 267, 649, 723, 6591, 513, 3102, 1620, 540, 713, 1808, 3060, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1042, 2109, 692, 5035, 9906, 318, 28384, 3799, 333, 8160, 617, 2544, 2187, 825, 8173, 825, 9906, 8416, 585, 8899, 268, 4910, 1828, 11020, 12472, 3004, 915, 800, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 327, 573, 272, 267, 562, 327, 573, 273, 267, 562, 327, 573, 274, 267, 6749, 719, 267, 4626, 788, 2002, 338, 17107, 1038, 2706, 263, 22923, 318, 28384, 267, 1582, 1040, 1029, 8181, 9191, 2020, 1038, 1582, 6155, 1886, 719, 815, 6749, 719, 454, 1038, 1582, 6745, 574, 788, 2002, 338, 815, 4626, 788, 2002, 338, 692, 1038, 1582, 3052, 322, 272, 815, 717, 290, 301, 3799, 327, 573, 272, 267, 562, 327, 573, 273, 994, 1038, 1582, 3052, 322, 273, 815, 717, 290, 301, 3799, 327, 573, 273, 267, 562, 327, 573, 274, 994, 1038, 1582, 3052, 322, 274, 815, 717, 290, 301, 3799, 327, 573, 274, 267, 562, 327, 573, 274, 2020, 825, 1219, 4464, 4311, 267, 1535, 267, 7755, 17107, 2018, 4626, 788, 2002, 338, 28177, 2109, 815, 11713, 2018, 1535, 815, 674, 18622, 1663, 4311, 3052, 322, 272, 3287, 267, 7755, 4917, 2018, 1535, 815, 674, 6155, 1886, 719, 3287, 267, 1582, 6155, 1886, 719, 267, 2866, 284, 1345, 6745, 20995, 2020, 2018, 1535, 815, 674, 18622, 1663, 4311, 3052, 322, 273, 3287, 267, 7755, 4917, 2018, 1535, 815, 674, 6155, 1886, 719, 3287, 267, 1582, 6155, 1886, 719, 267, 2866, 284, 1345, 6745, 20995, 994, 2018, 4626, 788, 2002, 338, 28177, 2109, 6910, 3287, 2020, 2018, 585, 512, 538, 2039, 263, 272, 267, 1582, 6745, 574, 788, 2002, 338, 2187, 3546, 1535, 815, 674, 18622, 1663, 4311, 3052, 322, 274, 3287, 267, 7755, 4917, 3546, 1535, 815, 674, 6155, 1886, 719, 3287, 267, 1582, 6155, 1886, 719, 267, 2866, 284, 1345, 6745, 20995, 994, 3546, 4626, 788, 2002, 338, 28177, 2109, 6910, 3287, 2020, 2018, 2132, 4626, 788, 2002, 338, 28177, 2109, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 769, 2221, 781, 2518, 1242, 4346, 267, 4213, 1419, 7048, 593, 3059, 5867, 547, 2932, 741, 4238, 267, 1519, 17034, 267, 5883, 267, 543, 22392, 1585, 2010, 540, 3029, 269, 1452, 2238, 616, 18170, 676, 3656, 11650, 602, 7291, 519, 2474, 543, 2175, 540, 1210, 971, 2533, 269, 901, 3184, 786, 5490, 883, 891, 3656, 2152, 267, 2519, 4481, 593, 519, 6876, 1063, 3755, 543, 3549, 3246, 2228, 1106, 2359, 2533, 269, 1284, 786, 2263, 1883, 14074, 540, 971, 11650, 267, 5659, 4143, 2013, 1876, 267, 543, 1865, 875, 3486, 4123, 6042, 949, 1764, 891, 8852, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 513, 4396, 1620, 540, 519, 3656, 5943, 12044, 2228, 1106, 2359, 2533, 543, 581, 2111, 547, 4019, 713, 1702, 547, 4052, 3871, 780, 296, 269, 4197, 13751, 13531, 906, 717, 1478, 940, 6732, 7896, 692, 4263, 519, 2295, 540, 1022, 11834, 5473, 2228, 1106, 2359, 2533, 6013, 513, 3656, 6876, 602, 1754, 985, 519, 2078, 1063, 519, 3593, 543, 519, 3028, 8502, 269, 6270, 11650, 3335, 1305, 8521, 519, 2924, 543, 13800, 540, 1312, 6105, 3823, 519, 946, 540, 519, 3028, 267, 7214, 3959, 2924, 267, 15668, 7687, 267, 543, 15539, 6571, 6127, 269, 1306, 513, 5260, 11803, 1870, 17367, 5665, 538, 519, 3059, 2085, 267, 621, 568, 2629, 547, 1174, 519, 6286, 540, 891, 14074, 543, 2327, 10220, 609, 10858, 4031, 543, 6042, 780, 288, 269, 9537, 540, 20305, 543, 14871, 13786, 4850, 692, 5825, 619, 540, 2228, 1106, 2359, 2533, 666, 3622, 581, 9286, 883, 1079, 6688, 281, 1367, 6800, 543, 5010, 9988, 269, 2755, 519, 2596, 3741, 12044, 891, 3347, 2611, 3586, 2066, 1114, 3593, 2010, 267, 972, 949, 581, 7648, 538, 1808, 2924, 543, 9021, 1759, 593, 519, 2470, 540, 519, 3593, 269, 1280, 3236, 267, 5010, 3755, 949, 2972, 811, 4359, 2934, 610, 29356, 3681, 982, 1367, 6800, 267, 1247, 849, 1373, 4371, 547, 2362, 4441, 540, 6165, 543, 1239, 3354, 269, 898, 568, 1898, 547, 5402, 2689, 519, 2474, 543, 2175, 540, 1142, 3028, 6876, 547, 3313, 707, 1808, 2924, 543, 11645, 607, 513, 3593, 780, 289, 269, 25827, 16296, 7126, 692, 3080, 2565, 2460, 540, 2228, 1106, 2359, 2533, 3322, 519, 5137, 267, 14842, 267, 543, 4859, 540, 5907, 6054, 5627, 3407, 1344, 269, 9182, 267, 7214, 3959, 2924, 1404, 513, 1713, 1909, 538, 5935, 519, 32725, 540, 891, 11650, 269, 14992, 2356, 7682, 9562, 936, 519, 3760, 3294, 267, 2059, 609, 1022, 2404, 3156, 267, 3301, 267, 610, 28106, 2029, 1031, 547, 1683, 519, 3028, 269, 2201, 519, 824, 1688, 267, 3755, 11677, 12600, 2924, 547, 519, 1543, 789, 5352, 610, 14202, 5196, 519, 3760, 269, 1717, 267, 26587, 519, 3028, 8502, 513, 12689, 547, 8415, 713, 1570, 585, 9138, 5301, 27137, 607, 5355, 1062, 2773, 610, 30076, 2930, 2152, 28934, 1455, 2259, 269, 11408, 581, 13533, 540, 1761, 10677, 4145, 950, 10024, 883, 11731, 609, 2228, 1106, 2359, 7426, 543, 2015, 7598, 3800, 547, 2149, 6213, 1344, 780, 2862, 269, 8865, 4521, 5811, 281, 6206, 2776, 1027, 757, 1744, 12686, 6732, 6796, 13531, 906, 692, 7021, 942, 267, 10470, 723, 9619, 3875, 13882, 16109, 896, 2228, 3028, 11650, 267, 7700, 3648, 547, 938, 1620, 540, 741, 14960, 269, 22718, 5697, 30675, 1606, 23293, 2665, 786, 948, 30881, 930, 4295, 3656, 3741, 13057, 713, 1858, 540, 1876, 780, 288, 269, 28604, 540, 2549, 15927, 6681, 16301, 692, 1103, 519, 25761, 2013, 540, 19958, 642, 269, 2136, 2276, 10588, 7040, 585, 6239, 5940, 269, 540, 4993, 267, 519, 715, 12764, 18065, 8947, 2436, 606, 32404, 16083, 8659, 1369, 606, 2228, 4579, 729, 17997, 762, 1996, 513, 27674, 858, 945, 11130, 646, 1185, 2760, 14751, 8271, 1028, 5034, 547, 922, 2474, 269, 634, 5480, 6038, 11943, 602, 14467, 606, 834, 296, 3858, 257, 7735, 1282, 2272, 14261, 27648, 6190, 23314, 540, 8247, 547, 581, 3808, 676, 519, 3003, 6876, 267, 1256, 952, 1978, 6810, 941, 24813, 610, 796, 1348, 269, 901, 3375, 19156, 519, 2956, 540, 8499, 2542, 543, 26762, 782, 2474, 543, 2175, 1354, 2502, 538, 552, 19645, 8852, 267, 607, 1134, 607, 8711, 519, 4644, 540, 2312, 26004, 2853, 950, 13167, 3028, 11650, 780, 289, 269, 700, 6636, 7799, 14591, 543, 2598, 335, 1393, 22375, 31469, 692, 5194, 8037, 2013, 5466, 2228, 3028, 11650, 568, 4325, 19816, 642, 269, 715, 1115, 3874, 18058, 29651, 1421, 1141, 519, 5822, 18065, 2808, 2436, 513, 19584, 342, 1905, 6876, 3927, 3649, 1882, 513, 7082, 781, 1318, 547, 7119, 538, 513, 1362, 2962, 27779, 269, 9521, 4945, 342, 1905, 11650, 8506, 8763, 10343, 998, 3742, 9844, 267, 19584, 342, 1905, 12417, 8806, 1459, 3755, 609, 5409, 15062, 539, 771, 8010, 619, 12617, 9624, 3896, 1543, 269, 4014, 519, 5480, 1336, 13385, 2963, 11744, 4890, 5469, 540, 519, 3649, 1853, 11865, 538, 713, 1880, 3236, 267, 7766, 3664, 723, 909, 18988, 2147, 21291, 950, 10483, 676, 17736, 545, 6681, 4159, 543, 10257, 3646, 547, 3142, 873, 547, 3755, 262, 3007, 269, 1879, 27410, 2228, 1106, 2359, 11731, 267, 2628, 2673, 3007, 547, 15668, 7687, 543, 4244, 15539, 6571, 6127, 547, 2057, 7938, 9231, 569, 882, 22055, 5109, 1271, 3656, 2924, 780, 7656, 269, 4139, 11780, 22769, 8177, 532, 6732, 7896, 692, 2026, 16450, 5051, 25186, 3084, 10665, 267, 865, 1932, 1281, 519, 991, 585, 11745, 1944, 19635, 9431, 20816, 12044, 3444, 31215, 8852, 269, 15316, 1617, 10561, 3906, 543, 21308, 3343, 547, 7520, 3486, 4123, 676, 9591, 7833, 3652, 543, 4808, 585, 10283, 2829, 269, 19361, 640, 609, 891, 7405, 568, 1898, 585, 10188, 10848, 4478, 2228, 1106, 2359, 2533, 538, 606, 10562, 1158, 780, 288, 269, 2622, 11780, 9257, 9497, 310, 15674, 8442, 16390, 692, 763, 654, 15674, 5713, 607, 519, 3119, 8468, 585, 19908, 543, 6388, 540, 4123, 11650, 1851, 4759, 6082, 269, 7324, 922, 1034, 32330, 10781, 616, 519, 4937, 15716, 593, 20579, 14554, 543, 11780, 9497, 294, 2969, 307, 19823, 799, 6663, 547, 2569, 7496, 547, 5370, 3350, 282, 519, 4937, 15716, 593, 11780, 538, 7896, 9497, 294, 2969, 306, 19823, 799, 5083, 1132, 2147, 6859, 585, 3028, 9922, 282, 543, 519, 15716, 593, 11780, 7304, 601, 730, 31834, 540, 25827, 16296, 7126, 9497, 307, 6020, 4916, 19823, 799, 20964, 5934, 4441, 585, 7863, 15888, 262, 2924, 269, 8625, 267, 891, 934, 3581, 3895, 1863, 2344, 3741, 543, 6536, 2804, 2208, 5001, 780, 2691, 10647, 1870, 3842, 2228, 1106, 2359, 2533, 267, 2327, 15984, 547, 4143, 654, 15674, 3652, 267, 3226, 1346, 17640, 547, 1875, 1673, 4593, 19303, 267, 2344, 1569, 267, 543, 11413, 269, 3958, 267, 6895, 5571, 16395, 7282, 6932, 3584, 971, 607, 3059, 4123, 543, 14590, 547, 3251, 32448, 540, 9687, 3656, 8916, 780, 289, 269, 5131, 11780, 13531, 906, 9497, 10499, 2026, 15419, 10499, 2026, 2099, 24845, 610, 6237, 533, 9711, 2966, 547, 12666, 1125, 4123, 8928, 1063, 1129, 14898, 269, 6201, 1331, 519, 3345, 1977, 5131, 11780, 15716, 9497, 2793, 10499, 288, 8442, 543, 922, 24288, 267, 519, 2136, 2276, 5336, 1410, 4815, 4211, 534, 3385, 15716, 9497, 4785, 300, 7563, 257, 5148, 519, 3864, 5742, 11219, 3253, 9483, 26844, 15716, 9497, 292, 5183, 257, 5148, 543, 519, 18043, 543, 28626, 15716, 585, 3690, 6261, 6680, 26844, 9497, 290, 8976, 13048, 20257, 674, 307, 2026, 3335, 1628, 2390, 4540, 654, 15674, 19647, 676, 6220, 3606, 10459, 3358, 547, 1808, 12352, 269, 4935, 267, 23440, 609, 1312, 1617, 10561, 543, 24845, 11650, 5849, 2500, 12445, 540, 3309, 3656, 4170, 18913, 3444, 31215, 2228, 1106, 2359, 8852, 780, 1103, 3932, 267, 17117, 540, 3656, 10850, 12044, 2228, 1106, 2359, 2533, 7569, 9488, 8223, 540, 5817, 11650, 267, 16324, 12496, 267, 543, 3486, 4123, 6042, 269, 20331, 609, 713, 1702, 267, 4230, 1393, 1870, 15161, 666, 18390, 4497, 538, 3059, 16450, 1247, 19086, 4220, 543, 21924, 3255, 4843, 676, 606, 2479, 21608, 6639, 5251, 269, 0, 2080, 568, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 649, 4043, 547, 1174, 676, 4704, 547, 741, 2854, 2864, 982, 741, 4890, 9275, 3029, 269, 1912, 517, 1108, 4145, 3294, 609, 519, 2081, 538, 799, 4654, 1118, 946, 540, 4992, 547, 10646, 1913, 689, 1142, 824, 563, 1432, 616, 519, 2185, 1292, 8371, 540, 13093, 7497, 2608, 286, 20064, 763, 1353, 540, 13093, 7497, 666, 581, 5258, 883, 1614, 1292, 8371, 281, 3600, 15064, 267, 10748, 7480, 543, 3203, 10306, 2218, 269, 3963, 568, 621, 1271, 547, 1451, 13093, 7497, 543, 13093, 1108, 286, 20064, 763, 1702, 540, 13093, 7497, 543, 13093, 1108, 1118, 2296, 1893, 15226, 547, 723, 513, 4971, 936, 519, 4992, 540, 2296, 4633, 269, 898, 568, 513, 1455, 1702, 1932, 602, 972, 616, 2296, 1893, 10529, 945, 723, 2919, 5065, 31126, 543, 723, 711, 10272, 2477, 1141, 2296, 568, 1101, 1893, 32289, 568, 621, 1271, 547, 917, 519, 2035, 540, 13093, 1108, 543, 13093, 7497, 286, 20064, 4942, 517, 7497, 543, 13093, 1108, 616, 5393, 2629, 547, 1174, 538, 1931, 547, 21264, 519, 2296, 1893, 269, 4340, 547, 7720, 1846, 24682, 13093, 7497, 568, 519, 1353, 540, 519, 2168, 2504, 543, 8226, 540, 4633, 4992, 602, 2049, 538, 1142, 1893, 543, 538, 782, 4654, 23130, 568, 606, 1271, 1907, 538, 519, 1641, 540, 13093, 7497, 543, 13093, 1108, 286, 20064, 16449, 519, 1034, 3730, 3435, 602, 723, 1044, 6700, 568, 519, 946, 540, 519, 4139, 1912, 517, 2045, 22843, 630, 296, 5183, 1040, 634, 594, 5183, 6663, 547, 1683, 11617, 10058, 6698, 585, 782, 4633, 4992, 799, 616, 13093, 10999, 3982, 538, 1022, 1893, 2558, 2532, 630, 1960, 277, 1040, 0, 1692, 2257, 543, 2029, 616, 4543, 547, 3142, 1007, 543, 5499, 15267, 2472, 547, 2344, 454, 8722, 25733, 5240, 5437, 476, 1321, 267, 476, 1001, 279, 547, 2421, 476, 271, 454, 1103, 519, 2063, 1614, 5756, 267, 519, 15267, 2872, 814, 19117, 20427, 269, 898, 3323, 609, 519, 3656, 1436, 540, 2564, 17089, 538, 4993, 538, 476, 1960, 277, 269, 13536, 538, 476, 1001, 273, 267, 2829, 899, 12548, 543, 6115, 849, 3656, 1242, 519, 946, 540, 16351, 17089, 269, 3767, 267, 811, 982, 3368, 540, 519, 2829, 723, 17101, 519, 946, 540, 2564, 17089, 610, 16351, 17089, 610, 1312, 269, 2859, 2829, 616, 4397, 547, 1246, 4166, 563, 18814, 547, 519, 2810, 3656, 1436, 540, 17089, 267, 519, 946, 540, 2029, 538, 519, 2872, 568, 4742, 12050, 518, 543, 811, 4143, 538, 2504, 267, 9042, 267, 543, 4616, 269, 3958, 267, 607, 811, 1004, 616, 8508, 519, 2640, 540, 17089, 267, 811, 2029, 3549, 723, 1044, 6932, 18487, 269, 2060, 519, 18735, 540, 2029, 267, 519, 15267, 2872, 568, 4397, 547, 1332, 3648, 538, 519, 4947, 1296, 269, 12989, 616, 1114, 2081, 538, 799, 2029, 568, 18363, 519, 2872, 563, 22897, 538, 634, 4980, 10474, 454, 7212, 17089, 814, 1044, 1336, 547, 1683, 513, 2603, 540, 2640, 267, 972, 568, 15877, 6325, 1344, 593, 875, 547, 1332, 519, 2030, 269, 4595, 15267, 729, 10363, 585, 1082, 1296, 267, 14713, 729, 16876, 547, 4130, 8397, 4238, 543, 3238, 513, 2603, 540, 9658, 1097, 269, 1717, 267, 519, 9525, 540, 2029, 568, 4742, 6225, 538, 519, 14713, 540, 519, 2030, 563, 25748, 267, 3684, 1565, 814, 1044, 22467, 7992, 883, 3592, 1169, 2460, 540, 1480, 2729, 269, 2290, 540, 519, 4241, 4066, 538, 15267, 8105, 568, 5691, 4641, 543, 5841, 4987, 269, 634, 1655, 851, 568, 602, 519, 4066, 616, 10097, 1256, 547, 1507, 1753, 25210, 269, 14464, 4987, 568, 14874, 519, 2182, 851, 540, 4509, 519, 2030, 998, 606, 12747, 5464, 1062, 269, 11576, 832, 543, 12514, 616, 1031, 547, 6895, 519, 9063, 2157, 267, 2837, 543, 1769, 547, 1683, 25191, 1416, 585, 1142, 2030, 269, 3642, 4066, 3648, 2569, 4074, 543, 4061, 2759, 1524, 1942, 269, 634, 1332, 518, 568, 1152, 2838, 547, 2030, 519, 6079, 543, 786, 581, 711, 1881, 950, 519, 2030, 568, 4712, 585, 16276, 563, 24248, 13281, 16370, 454, 22873, 6053, 267, 621, 729, 2352, 547, 2697, 519, 1585, 8833, 543, 5888, 540, 7135, 538, 519, 15267, 2030, 269, 1717, 267, 2029, 814, 3177, 16854, 6351, 538, 15267, 4152, 267, 543, 6800, 666, 1118, 1732, 11449, 3664, 269, 769, 1249, 267, 4824, 4152, 568, 2629, 538, 519, 2504, 540, 2564, 17089, 547, 2709, 2550, 1808, 9354, 2360, 269, 4014, 519, 4152, 4170, 4268, 609, 1114, 2829, 267, 972, 616, 1808, 5773, 602, 616, 1455, 538, 519, 2872, 269, 1280, 3236, 267, 4400, 6261, 518, 18504, 28966, 26537, 520, 2762, 630, 27426, 9448, 264, 814, 1044, 519, 1034, 4922, 1031, 4480, 538, 4152, 519, 2157, 540, 14055, 543, 29437, 267, 799, 616, 519, 1079, 1034, 1455, 12800, 27546, 563, 19284, 824, 6080, 267, 972, 616, 1100, 1808, 4808, 543, 6042, 593, 519, 4152, 2409, 540, 17089, 269, 901, 666, 1291, 547, 513, 2603, 540, 24081, 1890, 538, 519, 1494, 1890, 1239, 543, 5888, 540, 519, 12800, 27546, 269, 1717, 267, 4152, 568, 2629, 547, 2327, 3106, 585, 519, 7082, 563, 300, 9394, 10241, 538, 634, 2052, 10109, 529, 12752, 454, 300, 9394, 8924, 616, 3246, 16335, 3755, 609, 513, 2603, 540, 7036, 7891, 269, 9603, 547, 519, 4028, 13120, 540, 2029, 267, 3156, 616, 2919, 3232, 269, 1703, 616, 1896, 5985, 3156, 602, 3077, 15267, 3755, 563, 22709, 305, 334, 1824, 568, 835, 540, 519, 1034, 1713, 5985, 8924, 538, 519, 15267, 2872, 269, 898, 568, 513, 1514, 13033, 3760, 1141, 3755, 666, 2671, 1543, 267, 1224, 519, 3377, 267, 543, 2170, 269, 21298, 267, 519, 3760, 814, 1044, 11543, 8560, 693, 513, 4028, 10605, 267, 543, 621, 568, 1631, 6059, 547, 723, 936, 513, 2929, 3755, 269, 5015, 267, 1585, 7006, 839, 2456, 723, 5532, 609, 519, 3498, 547, 1683, 606, 8476, 1995, 547, 519, 3755, 563, 16675, 645, 1080, 568, 1776, 3498, 602, 568, 4657, 519, 17089, 2872, 269, 898, 568, 513, 1448, 6361, 1606, 1446, 630, 303, 5308, 264, 3301, 585, 17089, 21625, 602, 2488, 606, 4824, 1259, 540, 1818, 543, 9477, 6455, 269, 634, 3498, 568, 6531, 2861, 267, 1818, 621, 4443, 547, 11571, 2472, 267, 6895, 519, 11891, 267, 543, 3950, 6455, 269, 21452, 267, 621, 666, 581, 7471, 609, 824, 15267, 3156, 971, 607, 23516, 569, 543, 1284, 539, 300, 2355, 563, 5591, 8292, 865, 2484, 563, 6826, 1101, 547, 4734, 6085, 2630, 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 ]
[ 267, 22192, 23972, 5373, 4564, 513, 3638, 543, 11684, 25246, 540, 4050, 543, 13504, 26274, 269, 1635, 13215, 4909, 2553, 267, 8508, 15514, 2033, 640, 267, 543, 17975, 835, 781, 2123, 2511, 267, 5159, 666, 3132, 8903, 267, 14156, 22298, 1568, 602, 4497, 9458, 543, 1219, 344, 6671, 6788, 269, 5015, 267, 10128, 22192, 23972, 5373, 883, 6626, 7499, 2853, 3091, 3875, 2640, 267, 1519, 4824, 22423, 1983, 267, 8476, 5876, 267, 543, 2799, 15334, 538, 1585, 4050, 543, 13504, 17021, 2409, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 596, 1589, 540, 7499, 4082, 267, 1018, 3860, 2534, 2501, 547, 2247, 286, 27006, 543, 5373, 616, 1079, 540, 519, 1034, 1455, 3029, 1031, 676, 1312, 14971, 5159, 543, 4810, 4648, 7567, 269, 1809, 952, 891, 23447, 3100, 865, 2147, 267, 1287, 1018, 568, 621, 4010, 602, 30193, 873, 689, 835, 1776, 286, 769, 713, 5816, 2022, 649, 786, 2263, 519, 3604, 1063, 7206, 543, 5373, 538, 2474, 540, 5888, 267, 2553, 267, 2923, 946, 267, 543, 519, 2949, 1184, 269, 1284, 4126, 602, 1310, 2542, 713, 2022, 596, 723, 513, 1732, 1620, 593, 875, 547, 10994, 707, 1985, 3860, 1788, 2336, 1432, 568, 14301, 888, 19352, 532, 568, 606, 1148, 1106, 538, 799, 835, 5932, 513, 6041, 540, 606, 1843, 610, 1604, 998, 519, 946, 540, 22796, 267, 23445, 267, 12508, 267, 2250, 1564, 543, 824, 2923, 269, 898, 666, 581, 1031, 547, 2769, 4664, 267, 5968, 2093, 610, 3274, 1683, 12257, 269, 14301, 849, 814, 4052, 3156, 971, 607, 2930, 14745, 543, 11265, 4566, 269, 17859, 540, 922, 3498, 267, 5373, 568, 606, 1898, 851, 540, 1022, 3860, 22876, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22091, 4809, 23972, 5373, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 6755, 1299, 769, 330, 14301, 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 ]
[ 540, 519, 2250, 1032, 269, 2368, 22378, 333, 936, 519, 9271, 267, 1866, 556, 329, 4069, 693, 1018, 789, 7307, 547, 2744, 538, 519, 2250, 4005, 269, 1809, 972, 616, 811, 543, 811, 6126, 1004, 538, 519, 2063, 1296, 7064, 547, 519, 5767, 10781, 540, 2257, 543, 519, 1249, 602, 789, 616, 1373, 5189, 4922, 2614, 538, 12395, 5443, 6017, 563, 18662, 18244, 540, 12395, 5443, 6017, 269, 476, 4572, 279, 454, 15447, 1578, 4303, 568, 9976, 538, 12395, 5443, 6017, 1169, 1032, 593, 5181, 476, 272, 269, 898, 568, 593, 713, 1554, 10453, 979, 547, 1153, 267, 1519, 585, 519, 1101, 942, 267, 543, 1053, 979, 547, 6280, 269, 769, 2487, 1296, 267, 7361, 998, 519, 3646, 540, 519, 7022, 267, 519, 3872, 1982, 814, 6659, 519, 10862, 540, 1702, 269, 1306, 513, 1267, 267, 519, 2956, 540, 1702, 1554, 814, 849, 2799, 563, 4002, 713, 1554, 621, 568, 22232, 547, 2285, 5810, 543, 13344, 547, 3610, 269, 24929, 540, 519, 8128, 3717, 827, 519, 2956, 540, 2069, 543, 2911, 827, 1808, 10781, 538, 713, 5823, 563, 26123, 631, 969, 267, 12395, 5443, 6017, 454, 1607, 9702, 568, 4371, 593, 519, 1101, 14349, 538, 5437, 2073, 729, 9516, 676, 5518, 715, 12011, 1794, 990, 267, 6462, 849, 676, 519, 1699, 2212, 540, 1533, 7137, 323, 2096, 4157, 327, 3139, 990, 269, 634, 1554, 1797, 606, 8078, 2218, 607, 1417, 585, 8387, 630, 21955, 519, 7022, 264, 909, 835, 540, 519, 10239, 2282, 12891, 326, 629, 520, 593, 513, 476, 3607, 10275, 559, 10309, 25047, 13826, 267, 799, 729, 3710, 2523, 585, 715, 12011, 1794, 990, 779, 1374, 563, 23895, 14896, 725, 5009, 2635, 19824, 2429, 519, 2197, 269, 7981, 3007, 568, 6976, 547, 1585, 10945, 543, 30806, 338, 1141, 4583, 9845, 1685, 269, 14847, 1431, 616, 13739, 593, 8613, 267, 5026, 13063, 616, 11543, 538, 8560, 538, 519, 3854, 269, 634, 9702, 729, 8547, 538, 476, 1220, 271, 267, 855, 693, 519, 4090, 621, 568, 3478, 811, 543, 811, 11655, 563, 29804, 12156, 540, 12395, 5443, 6017, 454, 307, 24642, 5443, 6017, 630, 307, 14660, 330, 5443, 6017, 264, 568, 513, 1533, 538, 6239, 5607, 267, 513, 16232, 14081, 269, 634, 3854, 568, 12891, 330, 4725, 611, 563, 1103, 519, 476, 272, 560, 26992, 7460, 593, 519, 8513, 540, 2413, 12395, 5443, 6017, 11478, 12540, 10005, 267, 3474, 628, 807, 267, 11068, 807, 267, 538, 519, 476, 277, 628, 2540, 12395, 5443, 8593, 896, 519, 2531, 514, 542, 540, 519, 14655, 7276, 267, 543, 538, 519, 476, 275, 628, 2540, 1107, 519, 7276, 540, 12138, 519, 4279, 563, 3519, 638, 1229, 538, 519, 476, 279, 628, 2540, 676, 29240, 945, 3262, 5771, 1851, 519, 2199, 2551, 267, 519, 8513, 540, 1459, 6377, 12395, 5443, 6017, 729, 851, 540, 519, 570, 1695, 597, 573, 543, 6341, 534, 573, 2829, 538, 519, 476, 280, 628, 268, 1015, 628, 5553, 543, 729, 851, 540, 519, 17286, 329, 4157, 7276, 538, 519, 476, 1556, 628, 268, 1724, 628, 5553, 630, 320, 2101, 12395, 5443, 27693, 538, 476, 14862, 272, 1916, 1103, 519, 476, 1724, 628, 2540, 267, 519, 2197, 729, 22482, 676, 27245, 20679, 3366, 676, 2637, 724, 529, 16679, 267, 945, 11368, 519, 8513, 540, 12395, 5443, 6017, 883, 1010, 1390, 10504, 269, 769, 519, 476, 1704, 628, 268, 866, 628, 5553, 267, 519, 8513, 540, 2413, 12395, 5443, 6017, 729, 519, 1641, 540, 513, 15539, 1063, 519, 20961, 540, 30111, 267, 519, 16679, 540, 10609, 10216, 267, 543, 519, 2506, 597, 540, 645, 4157, 327, 4673, 563, 1103, 476, 5908, 280, 267, 593, 519, 9456, 13272, 540, 519, 595, 5684, 1014, 7256, 267, 519, 28592, 8547, 519, 2823, 540, 918, 6652, 2617, 617, 12921, 267, 543, 676, 519, 4571, 268, 2735, 271, 338, 519, 8513, 729, 24509, 539, 676, 519, 6739, 7276, 267, 799, 26793, 519, 27693, 540, 519, 12395, 5443, 538, 476, 6642, 272, 269, 2991, 519, 476, 4489, 278, 5239, 7169, 538, 6576, 267, 519, 1008, 29850, 12395, 5443, 2229, 29064, 519, 7115, 540, 12395, 5443, 6017, 267, 855, 538, 476, 4572, 271, 519, 12157, 9917, 12858, 802, 3964, 8168, 4341, 538, 519, 2197, 563, 763, 12395, 652, 534, 32534, 6243, 729, 9927, 538, 476, 4572, 275, 883, 519, 5742, 6243, 540, 12395, 5443, 6017, 267, 799, 29064, 922, 7115, 538, 476, 1960, 272, 563, 307, 24642, 5443, 6017, 568, 6353, 676, 25921, 18626, 3819, 2916, 609, 922, 6093, 2934, 1107, 1713, 3232, 543, 5993, 2837, 7648, 267, 3819, 2011, 267, 1970, 6531, 1465, 269, 12736, 1562, 616, 3636, 267, 1510, 8389, 7370, 269, 769, 5147, 2011, 2837, 543, 11195, 17211, 616, 2523, 1164, 563, 307, 24642, 5443, 6017, 10665, 609, 772, 345, 31990, 6017, 538, 519, 5087, 543, 519, 7532, 630, 321, 4650, 3259, 476, 272, 476, 277, 2641, 5998, 1070, 538, 519, 5087, 1107, 609, 27782, 16330, 630, 4391, 280, 5998, 1070, 538, 519, 7532, 543, 519, 5045, 519, 2197, 10665, 609, 15787, 630, 278, 4510, 5998, 1070, 538, 519, 5045, 1107, 609, 9459, 630, 4200, 273, 5998, 1040, 769, 519, 7178, 519, 2197, 568, 18233, 676, 519, 595, 5684, 1014, 7256, 563, 763, 2551, 1107, 476, 276, 269, 5392, 2929, 1004, 630, 1001, 278, 264, 1107, 6140, 12395, 5443, 630, 5952, 269, 277, 15992, 772, 345, 2041, 802, 630, 276, 269, 279, 15992, 28592, 630, 276, 269, 272, 22103, 634, 1533, 1893, 568, 12395, 5443, 563, 763, 1034, 7839, 1851, 519, 21071, 568, 6129, 14269, 5771, 269, 634, 13075, 1770, 568, 812, 520, 563, 2467, 616, 476, 3374, 14812, 538, 2698, 269, 5682, 2681, 1797, 15976, 267, 12300, 7389, 3092, 269, 602, 616, 1360, 1271, 585, 519, 2197, 855, 616, 711, 14812, 538, 519, 1463, 2631, 540, 713, 2262, 269, 3557, 14812, 616, 6825, 538, 2699, 563, 6124, 5729, 568, 835, 540, 519, 1034, 2442, 14812, 538, 12395, 5443, 6017, 269, 1306, 538, 1034, 2477, 540, 519, 5449, 8168, 3115, 28362, 923, 267, 621, 568, 9976, 17869, 2685, 543, 4922, 269, 4658, 538, 12395, 5443, 6017, 8661, 519, 1715, 5729, 7466, 513, 1032, 269, 634, 1101, 942, 568, 3864, 2511, 563, 1103, 19220, 540, 519, 1249, 602, 12395, 5443, 6017, 568, 513, 9243, 1533, 267, 593, 5130, 476, 2767, 628, 12395, 5443, 6017, 22842, 4303, 540, 519, 4347, 2658, 540, 519, 12429, 1633, 267, 2094, 593, 713, 1554, 538, 476, 1960, 273, 20331, 4229, 941, 4646, 538, 519, 9241, 268, 11526, 4830, 1533, 563, 21938, 476, 1240, 568, 519, 4303, 540, 24547, 11703, 20709, 540, 12395, 5443, 6017, 267, 799, 729, 3964, 676, 513, 30814, 5463, 872, 538, 5988, 476, 1220, 280, 7868, 5920, 540, 513, 1007, 3318, 9702, 538, 519, 1592, 540, 9976, 7389, 538, 519, 2197, 729, 1813, 547, 519, 991, 563, 4002, 4728, 476, 278, 267, 12395, 5443, 6017, 22842, 513, 3318, 9702, 1107, 519, 4303, 540, 13255, 543, 9442, 20709, 267, 3964, 676, 513, 16232, 31885, 538, 5239, 476, 1001, 278, 269, 898, 568, 711, 513, 1554, 1055, 543, 568, 9976, 538, 3318, 10580, 540, 519, 2872, 10422, 563, 1103, 476, 1220, 279, 267, 676, 519, 3375, 540, 5518, 7137, 323, 2096, 4157, 327, 3139, 990, 267, 519, 11812, 540, 4139, 6468, 779, 4303, 593, 4728, 476, 279, 729, 8120, 547, 12395, 5443, 6017, 269, 901, 9702, 7902, 538, 519, 28268, 267, 855, 538, 4830, 12395, 5443, 6017, 538, 476, 1220, 272, 676, 519, 3375, 540, 519, 1101, 5518, 540, 519, 2197, 563, 1103, 12395, 5443, 6017, 267, 8734, 745, 345, 7345, 1090, 568, 9976, 585, 1079, 2395, 1107, 4728, 476, 2641, 543, 476, 2420, 269, 634, 9702, 4607, 1533, 4567, 538, 476, 1960, 273, 20193, 568, 5156, 602, 538, 891, 4728, 2395, 513, 1007, 6694, 1032, 5956, 267, 865, 621, 568, 22232, 547, 4196, 593, 519, 9702, 3349, 563, 4002, 4728, 476, 4029, 267, 12395, 5443, 6017, 22842, 513, 3318, 9702, 1107, 11906, 12752, 20709, 685, 4303, 267, 3964, 676, 513, 16232, 31885, 538, 4989, 476, 1001, 278, 269, 634, 4266, 540, 519, 11812, 568, 31764, 547, 14626, 728, 609, 519, 1554, 513, 1804, 4853, 13055, 729, 20827, 689, 563, 9336, 1032, 593, 519, 1101, 10732, 538, 4989, 267, 12395, 5443, 6017, 22842, 606, 4013, 3084, 9702, 1572, 968, 288, 29100, 540, 4826, 1107, 513, 717, 1778, 540, 7108, 892, 630, 307, 584, 14790, 269, 2672, 342, 2481, 329, 6470, 1107, 620, 1399, 333, 546, 7564, 5886, 328, 1040, 901, 568, 513, 21055, 8144, 540, 519, 9702, 779, 2012, 689, 12395, 5443, 269, 1261, 4586, 10890, 4303, 729, 3964, 538, 476, 1220, 271, 676, 513, 31885, 540, 12395, 5443, 6017, 779, 1101, 5518, 590, 777, 1301, 584, 520, 715, 12011, 1794, 990, 543, 729, 8385, 9976, 12422, 593, 519, 1101, 14349, 538, 5437, 269, 769, 476, 1001, 275, 267, 922, 11812, 729, 6410, 547, 4989, 543, 14626, 3660, 609, 2622, 2657, 4303, 563, 4002, 4989, 476, 1704, 267, 5520, 540, 519, 9194, 8128, 540, 12395, 5443, 6017, 8661, 741, 3318, 9702, 267, 519, 4303, 540, 24779, 6796, 20709, 269, 898, 729, 3964, 676, 519, 5463, 872, 540, 519, 5518, 540, 519, 6243, 267, 9896, 593, 5239, 476, 1556, 267, 476, 1001, 278, 269, 901, 1554, 568, 711, 1007, 563, 9336, 1032, 267, 593, 519, 2063, 10732, 540, 4989, 267, 12395, 5443, 6017, 22842, 13019, 15595, 974, 651, 21696, 4303, 630, 307, 14660, 330, 5443, 693, 2106, 344, 385, 486, 575, 6686, 14269, 1070, 513, 3084, 14951, 543, 513, 2707, 540, 11348, 538, 519, 2197, 269, 901, 7504, 9742, 568, 2523, 26060, 543, 6068, 676, 519, 11317, 540, 519, 2197, 563, 3080, 540, 519, 1034, 26060, 14812, 538, 519, 9099, 1158, 568, 519, 1439, 540, 17509, 538, 519, 3923, 540, 30782, 269, 769, 12395, 5443, 6017, 267, 1141, 519, 5318, 5354, 540, 519, 2551, 1316, 2478, 5771, 267, 713, 9702, 1107, 744, 571, 5633, 7345, 1090, 344, 1107, 568, 835, 540, 519, 3084, 14812, 563, 4002, 2904, 476, 280, 628, 12395, 5443, 6017, 22842, 519, 4303, 540, 7861, 800, 538, 519, 4279, 24686, 5328, 2782, 540, 476, 3707, 272, 268, 3707, 276, 7868, 4961, 540, 12395, 5443, 6017, 267, 899, 519, 3003, 8168, 1004, 267, 689, 519, 1101, 2395, 540, 519, 4323, 540, 519, 13303, 5125, 593, 519, 28268, 538, 4873, 476, 3707, 276, 9782, 547, 9718, 741, 22657, 269, 4658, 779, 563, 4002, 2904, 476, 1240, 267, 4098, 538, 476, 1001, 279, 267, 12395, 5443, 6017, 22842, 606, 1271, 1533, 9702, 1107, 9139, 543, 3557, 25035, 4303, 269, 21231, 267, 1152, 9139, 4303, 729, 9976, 538, 519, 2197, 593, 2904, 476, 1240, 267, 1247, 3557, 25035, 4303, 729, 9976, 563, 13480, 619, 543, 1425, 545, 18779, 540, 1876, 10276, 7593, 4703, 540, 12395, 5443, 6017, 8661, 741, 3318, 9702, 593, 2904, 476, 3066, 563, 307, 24642, 5443, 2961, 7065, 4303, 476, 1708, 273, 968, 307, 24642, 5443, 2961, 7065, 4303, 892, 568, 9976, 593, 519, 2063, 10732, 540, 2904, 269, 769, 476, 1708, 273, 267, 519, 4266, 568, 2904, 476, 3066, 563, 4002, 519, 2063, 10732, 540, 2904, 519, 2817, 12395, 5443, 2961, 7065, 4303, 630, 307, 14660, 330, 5443, 554, 3315, 575, 6686, 14269, 264, 568, 9976, 538, 519, 6243, 269, 4595, 476, 1960, 273, 267, 621, 814, 9715, 1533, 4567, 543, 538, 2487, 1296, 568, 4371, 538, 519, 1158, 779, 1152, 9754, 540, 12395, 5443, 24095, 538, 12891, 326, 629, 520, 563, 18907, 476, 1321, 568, 519, 4303, 540, 3163, 538, 12395, 5443, 6017, 269, 634, 9702, 729, 3964, 676, 519, 5463, 872, 540, 519, 5518, 540, 12395, 5443, 6017, 538, 476, 1220, 279, 543, 568, 1572, 547, 1831, 835, 540, 519, 2081, 540, 2442, 1436, 540, 2257, 267, 8446, 540, 16805, 3744, 543, 547, 3895, 519, 1646, 540, 2257, 538, 519, 2197, 563, 4002, 4873, 476, 1240, 267, 5126, 8387, 538, 12395, 5443, 6017, 8661, 741, 3318, 9702, 269, 634, 9702, 729, 3964, 676, 519, 3375, 540, 519, 12057, 540, 12395, 5443, 6017, 538, 476, 1001, 277, 269, 898, 568, 9976, 676, 519, 1004, 4171, 3318, 2534, 568, 6322, 693, 4180, 519, 2924, 540, 519, 1004, 540, 12395, 5443, 6017, 563, 18907, 476, 2918, 12395, 5443, 6017, 22842, 519, 4303, 540, 1160, 5913, 12460, 779, 8433, 20709, 7868, 1560, 585, 27459, 2358, 519, 2616, 766, 540, 519, 4341, 540, 1876, 538, 1585, 21384, 540, 1533, 543, 1857, 1272, 568, 896, 3586, 3007, 540, 519, 5518, 540, 519, 2197, 267, 945, 1851, 519, 1292, 554, 563, 301, 18017, 1446, 1107, 1250, 5172, 8768, 267, 1677, 803, 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 ]
[ 267, 649, 786, 1101, 4983, 519, 3140, 20457, 540, 519, 17073, 21474, 2920, 781, 17293, 1282, 519, 5239, 19822, 540, 476, 3192, 271, 538, 4516, 267, 607, 4330, 538, 519, 6679, 1349, 269, 3414, 713, 2013, 1353, 267, 649, 786, 1294, 875, 2797, 12879, 543, 26760, 666, 1764, 513, 4182, 781, 5958, 543, 2015, 519, 5539, 540, 1650, 339, 25527, 547, 8774, 1769, 593, 971, 3871, 780, 763, 17073, 21474, 2920, 267, 1045, 12097, 676, 1287, 6261, 31870, 10579, 24839, 2558, 8775, 879, 267, 729, 20582, 607, 513, 2556, 2268, 547, 2232, 519, 3463, 15054, 676, 519, 13571, 632, 5391, 2946, 1674, 5918, 2372, 2946, 13069, 630, 14566, 304, 1070, 513, 3021, 520, 626, 1895, 3743, 585, 1896, 10514, 902, 543, 32043, 1952, 902, 269, 1717, 267, 2963, 5267, 602, 2609, 1369, 17454, 4211, 534, 6598, 4987, 2533, 949, 723, 5129, 513, 811, 1713, 1909, 982, 7620, 17019, 269, 634, 1671, 5224, 19831, 1876, 8507, 538, 7839, 10654, 338, 543, 21109, 540, 3540, 23118, 267, 6028, 9434, 26711, 593, 4516, 781, 11180, 5238, 780, 1607, 2680, 2488, 15417, 2666, 585, 3695, 1514, 5126, 5708, 2094, 621, 12651, 2055, 827, 1379, 6384, 267, 12477, 267, 543, 519, 1909, 540, 4961, 538, 5935, 741, 7239, 269, 1306, 5830, 2502, 609, 891, 4798, 267, 10271, 616, 1572, 2390, 547, 27481, 5168, 543, 32660, 1247, 4101, 24407, 3889, 269, 1635, 2870, 6386, 10704, 1472, 1514, 5126, 267, 789, 3565, 547, 6209, 7391, 3823, 5837, 2418, 267, 8296, 267, 543, 6568, 780, 4131, 721, 1631, 2490, 938, 3007, 547, 10747, 1514, 5126, 5708, 269, 2311, 922, 4295, 267, 713, 9135, 11394, 547, 16616, 543, 16472, 11528, 16526, 543, 28407, 540, 1379, 7915, 538, 1480, 1949, 269, 898, 1419, 6212, 593, 12790, 2950, 543, 2043, 29270, 26568, 4229, 267, 2436, 789, 581, 12250, 1242, 10168, 267, 3023, 1143, 267, 1362, 1143, 267, 610, 824, 3029, 540, 7130, 269, 4317, 5126, 5708, 7512, 3988, 547, 2992, 593, 741, 1378, 5107, 1369, 891, 1950, 3103, 540, 5872, 543, 11942, 513, 2631, 540, 7104, 5539, 2509, 2679, 3655, 790, 337, 543, 811, 12581, 7239, 780, 2026, 851, 540, 519, 6626, 7121, 540, 4168, 2489, 3332, 267, 1514, 5126, 5708, 11438, 3606, 6106, 540, 4644, 269, 1280, 3236, 267, 4906, 2441, 781, 10752, 11168, 12391, 585, 519, 4057, 267, 519, 7210, 267, 543, 519, 31345, 1107, 3741, 3844, 547, 1082, 1568, 540, 1514, 5126, 5708, 269, 5015, 267, 8567, 7125, 21071, 547, 11349, 21644, 899, 21548, 267, 19807, 267, 543, 1582, 16531, 267, 799, 666, 1217, 3197, 262, 1646, 543, 4729, 11144, 538, 13998, 6857, 6386, 780, 288, 8903, 1383, 540, 1514, 5126, 5708, 1369, 4168, 3332, 568, 3627, 23415, 20198, 781, 3209, 834, 763, 717, 1905, 525, 540, 654, 337, 987, 2437, 799, 5205, 519, 808, 1933, 1920, 607, 789, 22109, 31023, 1282, 519, 4279, 12870, 538, 3406, 540, 960, 543, 15683, 269, 10801, 519, 1650, 267, 23415, 20198, 27875, 7518, 5511, 4074, 2853, 543, 2804, 8635, 267, 20872, 3988, 547, 2243, 519, 5683, 6286, 540, 4652, 9116, 1229, 16851, 269, 1261, 1281, 865, 1247, 4509, 513, 2178, 5289, 896, 9690, 267, 5373, 19320, 1063, 13400, 2984, 543, 519, 9620, 5185, 676, 1010, 23233, 780, 1103, 4207, 2053, 267, 4589, 3136, 547, 4497, 609, 1514, 5126, 4798, 998, 5708, 1603, 269, 2290, 8037, 7678, 3322, 6220, 23019, 2609, 27137, 607, 29711, 5362, 610, 2257, 14070, 10600, 23121, 21179, 622, 4540, 13103, 543, 28596, 2565, 3206, 1851, 3988, 269, 1452, 19511, 5468, 1450, 15888, 547, 7903, 6302, 267, 4161, 10054, 267, 543, 2709, 4195, 5380, 593, 10296, 4145, 899, 2916, 1689, 267, 13178, 2029, 267, 543, 5841, 4987, 780, 2304, 5140, 14745, 540, 2413, 13998, 6857, 23019, 5708, 568, 4239, 822, 807, 30215, 781, 834, 13640, 762, 540, 519, 590, 1077, 2437, 1141, 1352, 26195, 2888, 513, 2282, 1922, 1956, 3013, 30635, 3042, 676, 2825, 12900, 543, 9746, 26846, 269, 5019, 6782, 626, 19846, 333, 744, 4594, 2088, 12066, 956, 609, 1200, 2189, 2702, 547, 1745, 1866, 262, 1928, 267, 3056, 1200, 547, 1336, 3047, 23092, 267, 513, 1007, 4984, 5059, 593, 6668, 543, 2230, 17091, 269, 3414, 713, 17680, 6137, 9661, 267, 30215, 8711, 10562, 16839, 6849, 8103, 1247, 25967, 1681, 519, 991, 585, 9316, 267, 6043, 267, 543, 13916, 538, 5466, 873, 780, 2414, 2417, 1174, 519, 10083, 540, 1514, 5126, 5708, 2221, 267, 1577, 721, 2015, 2487, 2090, 10223, 519, 2318, 2360, 540, 2542, 5339, 5708, 593, 6568, 543, 5133, 23824, 269, 4340, 547, 3173, 693, 634, 1715, 3427, 267, 4598, 547, 3309, 6386, 10597, 5042, 8112, 543, 2636, 3988, 547, 1732, 10146, 1114, 16752, 269, 4935, 267, 13998, 7722, 9423, 814, 4052, 3156, 3564, 6071, 9913, 282, 621, 8309, 547, 3384, 1134, 26455, 267, 17519, 4961, 5827, 540, 1198, 532, 1689, 1369, 741, 21384, 540, 3310, 780, 11101, 267, 1514, 5126, 5708, 5713, 607, 513, 3532, 1907, 585, 14223, 267, 3226, 950, 1298, 1359, 9739, 12926, 16934, 689, 13416, 11407, 269, 1635, 7586, 4328, 891, 6386, 267, 5830, 1711, 3255, 585, 5188, 543, 2069, 4478, 2629, 3584, 899, 7292, 21047, 267, 4008, 7862, 267, 543, 9659, 2924, 269, 3958, 267, 971, 6386, 5000, 17604, 1851, 12790, 2516, 267, 16779, 873, 547, 3747, 5126, 543, 24905, 548, 5739, 11475, 780, 1103, 3932, 267, 1514, 5126, 5708, 26328, 513, 4105, 13395, 1369, 4168, 2489, 3332, 267, 5356, 5624, 585, 8086, 267, 1565, 267, 543, 2208, 269, 14301, 6667, 689, 3140, 2621, 899, 4516, 781, 5239, 19822, 267, 4207, 4589, 666, 946, 2239, 10850, 547, 22113, 1950, 6848, 2591, 543, 8300, 2962, 4724, 3152, 9698, 543, 13784, 269, 11086, 267, 998, 18532, 6278, 609, 13998, 6857, 9423, 267, 649, 16491, 6000, 547, 1831, 8069, 540, 7004, 267, 11461, 676, 5132, 543, 9141, 676, 2648, 585, 782, 2696, 781, 1453, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 15623, 661, 327, 4958, 1496, 1721, 1133, 15905, 670, 836, 719, 2639, 18814, 547, 519, 1699, 11852, 540, 519, 17073, 21474, 2920, 676, 8225, 11788, 10579, 3807, 514, 2558, 8775, 879, 593, 5988, 476, 1691, 538, 3210, 547, 519, 15213, 1230, 341, 9081, 543, 3625, 3547, 1312, 538, 31747, 543, 2066, 1585, 16899, 540, 4516, 267, 594, 2219, 621, 17501, 547, 30603, 1382, 602, 594, 1185, 5892, 3370, 607, 513, 3126, 1071, 27787, 609, 8303, 2861, 19784, 5484, 334, 527, 30634, 604, 26919, 602, 7710, 519, 3105, 267, 11786, 1045, 6327, 540, 602, 1482, 957, 676, 3807, 514, 779, 4651, 267, 24839, 2558, 8775, 879, 267, 538, 476, 3192, 271, 563, 5575, 267, 594, 786, 1469, 930, 1271, 13865, 1344, 540, 519, 6742, 658, 4521, 543, 2782, 21474, 2920, 18611, 676, 24839, 2558, 8775, 879, 267, 945, 8246, 513, 27313, 560, 4599, 569, 588, 3042, 6433, 2196, 676, 17454, 4211, 534, 6598, 4987, 5121, 1063, 476, 3422, 271, 268, 3192, 271, 267, 5555, 4611, 538, 13688, 12902, 2066, 519, 10754, 540, 20563, 543, 17837, 547, 606, 4550, 25993, 6963, 540, 2486, 1373, 16760, 269, 901, 3296, 786, 849, 4308, 609, 930, 1271, 13865, 6927, 7231, 609, 519, 28068, 1909, 540, 519, 552, 1872, 523, 923, 10377, 643, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 10456, 11470, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 4937, 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, 11076, 6428, 880, 1284, 3058, 281, 589, 966, 2320, 656, 28673, 1369, 7087, 3203, 540, 25725, 6816, 692, 296, 269, 4985, 692, 2026, 649, 7832, 2390, 3695, 519, 3638, 13795, 540, 6805, 6575, 538, 25725, 6816, 630, 22139, 3013, 1070, 1577, 721, 2253, 676, 14344, 519, 4644, 540, 891, 7499, 5389, 607, 7215, 540, 2686, 3961, 267, 6043, 267, 543, 5876, 269, 7324, 519, 3309, 6082, 7854, 539, 896, 713, 5318, 22597, 267, 519, 11076, 6428, 880, 9082, 723, 16916, 741, 1378, 2189, 22805, 2853, 602, 2992, 741, 2620, 4276, 547, 519, 2244, 267, 4262, 267, 543, 6607, 269, 1635, 18167, 883, 519, 14960, 540, 11076, 6428, 880, 22805, 267, 649, 4126, 547, 8956, 543, 5660, 519, 5898, 540, 713, 2713, 9371, 1247, 9301, 922, 10083, 547, 4207, 27964, 4478, 28160, 1436, 267, 6940, 267, 543, 2146, 16882, 780, 2862, 269, 8466, 2796, 543, 4720, 540, 11076, 6428, 880, 22805, 692, 2414, 1174, 519, 2956, 540, 11076, 6428, 880, 22805, 267, 621, 568, 1898, 547, 2198, 622, 621, 1369, 513, 3140, 27795, 6825, 676, 9542, 267, 5647, 267, 543, 4187, 269, 7043, 1354, 3864, 3346, 267, 11076, 6428, 880, 2950, 16941, 593, 2030, 11103, 971, 607, 524, 25729, 13626, 543, 15144, 689, 7823, 23161, 547, 1711, 6198, 3688, 899, 30504, 267, 7802, 267, 29198, 267, 543, 3165, 20637, 269, 1452, 3615, 6039, 4052, 5301, 1247, 849, 18220, 532, 5289, 7516, 5532, 547, 18577, 10752, 543, 30060, 1272, 269, 1306, 7810, 4229, 13684, 1007, 2804, 1949, 543, 3909, 4978, 267, 1082, 2757, 13492, 5185, 7771, 1813, 547, 12761, 267, 7142, 21939, 267, 543, 11658, 1569, 547, 2326, 269, 16480, 267, 11076, 6428, 880, 649, 28316, 829, 572, 30099, 538, 8497, 741, 1702, 543, 15268, 741, 2553, 547, 4657, 6381, 269, 4653, 267, 5159, 899, 19626, 14529, 767, 630, 15404, 4302, 600, 264, 543, 1546, 3630, 590, 1706, 992, 630, 15404, 4302, 600, 264, 4163, 4464, 713, 10583, 6561, 676, 19234, 609, 1312, 6671, 2409, 543, 2413, 2326, 899, 10991, 24470, 543, 28778, 586, 541, 985, 780, 7656, 269, 29526, 543, 2495, 538, 11076, 6428, 880, 6272, 692, 4263, 519, 4295, 540, 11076, 6428, 880, 649, 822, 902, 6013, 513, 3308, 6863, 14869, 539, 538, 13513, 543, 9423, 269, 2983, 6248, 18305, 6273, 676, 2470, 1107, 971, 607, 9065, 6950, 267, 772, 268, 13257, 267, 543, 1750, 341, 6425, 1107, 4749, 2408, 18955, 883, 3270, 3954, 7627, 737, 29023, 13218, 267, 5137, 6386, 267, 610, 16750, 7919, 269, 1280, 3236, 267, 13687, 1419, 24901, 11606, 543, 20344, 282, 32605, 627, 528, 3149, 782, 8775, 547, 4775, 1379, 543, 5876, 282, 543, 19711, 18346, 2099, 4027, 543, 4222, 269, 3414, 6297, 6514, 540, 891, 6698, 543, 741, 10659, 267, 13588, 2744, 5813, 883, 519, 2418, 267, 3347, 267, 543, 17050, 19644, 676, 11076, 6428, 880, 2950, 269, 5015, 267, 2502, 609, 649, 28316, 2933, 3091, 3255, 547, 6432, 547, 2123, 6589, 540, 875, 789, 28093, 826, 741, 960, 609, 1808, 10096, 543, 15752, 780, 4353, 269, 7698, 640, 543, 4480, 538, 11076, 6428, 880, 22805, 692, 288, 6251, 1413, 693, 519, 4890, 1184, 540, 2870, 11076, 6428, 880, 649, 822, 902, 8761, 519, 1950, 16799, 1063, 1570, 5542, 267, 1907, 6165, 267, 543, 1374, 11056, 269, 25214, 267, 649, 28316, 21433, 2199, 2371, 899, 7262, 2699, 524, 25729, 267, 5835, 524, 25729, 267, 2462, 29566, 25308, 267, 543, 3595, 15634, 547, 3132, 1585, 2010, 540, 6775, 5078, 585, 18343, 267, 1000, 1456, 267, 2909, 4575, 267, 610, 29693, 1746, 269, 6684, 267, 3662, 2472, 971, 607, 2915, 4552, 267, 13650, 20534, 342, 267, 543, 6177, 17207, 8329, 10058, 18282, 543, 4778, 547, 8737, 4773, 269, 12634, 5159, 1522, 6451, 5010, 16060, 267, 17285, 31126, 267, 610, 13381, 2609, 547, 3035, 5551, 2360, 269, 26435, 30150, 267, 11076, 6428, 880, 649, 28316, 2308, 1896, 3982, 25573, 1519, 1000, 1441, 5072, 267, 1930, 1740, 2121, 1154, 267, 1071, 4979, 267, 543, 16204, 836, 269, 9457, 344, 540, 891, 1983, 3340, 9639, 267, 32609, 614, 640, 267, 543, 15982, 23440, 609, 6151, 2326, 262, 3601, 780, 309, 269, 634, 1909, 540, 2021, 538, 11076, 6428, 880, 22805, 5389, 692, 4407, 2367, 13840, 4371, 7986, 5107, 538, 3574, 8364, 1324, 267, 4496, 11529, 267, 543, 824, 10459, 2404, 609, 11076, 6428, 880, 1570, 2528, 267, 2021, 15866, 13736, 22805, 1813, 547, 575, 25311, 15523, 540, 4074, 543, 1702, 6771, 269, 4223, 686, 1105, 338, 5293, 1524, 741, 6791, 998, 29095, 1222, 3631, 267, 4180, 15364, 2066, 5481, 543, 17923, 1514, 25327, 1759, 593, 2085, 267, 1995, 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 ]
[ 1587, 3515, 1331, 282, 715, 525, 638, 1731, 267, 513, 10217, 8216, 4235, 267, 4420, 1194, 1216, 267, 4620, 1416, 1426, 267, 543, 2597, 2359, 2472, 585, 808, 10154, 30621, 630, 301, 652, 548, 6820, 267, 476, 1001, 273, 267, 16948, 269, 476, 273, 1916, 302, 653, 1953, 885, 8451, 1282, 3486, 3255, 607, 29321, 548, 3096, 922, 2518, 1702, 607, 606, 5813, 593, 519, 1344, 540, 5001, 6990, 269, 2755, 824, 14078, 3068, 1981, 543, 5821, 26968, 5944, 267, 29321, 548, 814, 1569, 547, 11580, 267, 1761, 2472, 267, 543, 2994, 547, 4129, 1518, 741, 14769, 269, 4139, 9467, 814, 922, 4539, 267, 855, 1569, 547, 2883, 6990, 2636, 873, 547, 10210, 267, 2445, 267, 543, 267, 9472, 2804, 2175, 269, 22414, 5383, 3366, 547, 513, 5458, 19710, 602, 11292, 29321, 548, 519, 8458, 547, 4228, 741, 18294, 2509, 513, 8902, 6197, 563, 13563, 543, 3864, 6990, 1294, 29321, 548, 6820, 607, 513, 3463, 865, 29321, 548, 568, 7142, 547, 11654, 2208, 1369, 1007, 1870, 269, 21864, 12352, 5512, 29321, 548, 547, 3251, 593, 1283, 540, 3486, 4123, 269, 589, 1390, 19710, 538, 476, 1960, 271, 609, 1977, 1500, 3327, 730, 2571, 10425, 543, 20892, 2754, 267, 595, 10087, 2051, 320, 13087, 29321, 548, 547, 5305, 972, 11480, 1216, 269, 1306, 835, 540, 519, 4102, 1034, 3811, 14078, 609, 513, 17890, 1592, 540, 12478, 543, 2472, 29321, 548, 6820, 814, 513, 8013, 2344, 2497, 538, 799, 789, 2015, 796, 3901, 3481, 1813, 547, 741, 2518, 4527, 563, 4415, 1082, 12478, 543, 2472, 29321, 548, 8188, 31195, 1851, 15712, 585, 930, 540, 1346, 1482, 2472, 269, 9861, 513, 1804, 18294, 29321, 548, 6820, 814, 1312, 3486, 543, 2199, 2344, 15712, 269, 5221, 540, 2472, 6035, 676, 29321, 548, 6820, 5702, 11341, 1808, 12478, 538, 519, 3486, 543, 2199, 6990, 267, 29321, 548, 6820, 814, 15712, 538, 891, 6990, 1813, 547, 741, 2799, 2179, 540, 8843, 799, 13514, 513, 3463, 269, 2368, 540, 1346, 15712, 799, 10460, 3463, 547, 29321, 548, 6820, 616, 30960, 10557, 593, 519, 2199, 18294, 779, 2427, 543, 918, 2761, 779, 16639, 593, 519, 3486, 2427, 563, 7343, 21043, 595, 2982, 513, 1279, 1592, 540, 15712, 9957, 29321, 548, 6820, 568, 4867, 835, 540, 519, 1283, 3486, 543, 6469, 15712, 538, 922, 2344, 269, 670, 597, 22385, 344, 2829, 602, 968, 320, 2344, 2497, 6482, 568, 1239, 10356, 676, 5313, 2229, 267, 2344, 1382, 10909, 267, 543, 4123, 12205, 602, 616, 3730, 585, 10503, 8013, 2175, 892, 263, 1220, 279, 267, 533, 269, 476, 276, 2190, 1040, 1306, 513, 6700, 4640, 29321, 548, 2115, 547, 3136, 547, 1445, 593, 4797, 2208, 1369, 9450, 6990, 267, 1247, 11173, 547, 2736, 998, 6990, 540, 519, 1158, 602, 723, 1044, 2938, 607, 1164, 1981, 1317, 741, 12485, 3100, 547, 960, 538, 519, 14078, 3870, 563, 2691, 10024, 6990, 602, 949, 2907, 581, 9921, 269, 901, 1223, 581, 513, 1804, 3463, 547, 29321, 548, 676, 4758, 824, 6990, 513, 13354, 5413, 936, 873, 269, 634, 1257, 11225, 13354, 5413, 607, 267, 968, 1492, 4182, 779, 9120, 4398, 593, 513, 3448, 4493, 892, 630, 295, 597, 22385, 344, 533, 269, 476, 6321, 272, 1040, 634, 13354, 5413, 3069, 2636, 3549, 547, 2539, 8589, 607, 1134, 607, 4316, 1942, 540, 519, 2504, 540, 513, 1434, 610, 3028, 269, 1280, 1383, 267, 29321, 548, 814, 513, 13354, 5413, 538, 1447, 18026, 2477, 982, 547, 3132, 1317, 609, 4123, 519, 4316, 1942, 568, 2539, 563, 2467, 616, 1896, 2344, 3889, 281, 3501, 6735, 267, 30049, 2065, 6735, 267, 23731, 30496, 267, 543, 26771, 269, 1717, 267, 29321, 548, 568, 1634, 607, 606, 23731, 30496, 269, 2368, 1131, 2303, 602, 29321, 548, 6820, 568, 513, 2182, 547, 20476, 664, 609, 2518, 3919, 269, 3509, 3494, 602, 621, 568, 2182, 547, 2744, 1379, 936, 29321, 548, 6820, 865, 789, 3343, 19710, 1317, 621, 568, 5156, 602, 29321, 548, 568, 606, 23731, 30496, 269, 670, 597, 22385, 344, 630, 1220, 279, 264, 11225, 23731, 30496, 607, 267, 968, 288, 2344, 2497, 6353, 676, 1906, 23965, 543, 22524, 8817, 3902, 13050, 1584, 3664, 892, 630, 335, 269, 476, 4335, 1916, 301, 652, 548, 6820, 568, 606, 3486, 2518, 3919, 602, 29263, 593, 8013, 3486, 2994, 269, 29321, 548, 17767, 519, 5383, 543, 11393, 540, 13989, 609, 1970, 543, 1164, 1981, 6990, 269, 2353, 3549, 8188, 602, 1448, 540, 3375, 1818, 1141, 789, 8275, 972, 568, 1945, 547, 2744, 543, 547, 6336, 1813, 547, 741, 1880, 3903, 282, 513, 4123, 11325, 269, 2755, 10647, 1870, 609, 1164, 1981, 6990, 29321, 548, 3068, 519, 19319, 540, 19728, 269, 2755, 29321, 548, 3096, 21473, 14369, 789, 3006, 1869, 798, 1870, 609, 3544, 19728, 5103, 519, 11630, 16132, 540, 5385, 3928, 563, 8601, 519, 11393, 540, 2324, 609, 1164, 1981, 6990, 607, 538, 519, 5824, 17113, 543, 4000, 29321, 548, 3251, 3238, 1813, 547, 519, 1761, 2208, 540, 741, 18294, 543, 814, 3592, 476, 3451, 269, 476, 278, 260, 540, 922, 6455, 689, 891, 1164, 1981, 6990, 269, 1452, 1164, 1981, 6990, 616, 1634, 585, 741, 7963, 6433, 267, 855, 607, 513, 4123, 4752, 29321, 548, 2488, 6009, 267, 20848, 267, 543, 3255, 543, 538, 2132, 3715, 3486, 5663, 543, 4123, 12417, 269, 4165, 4602, 908, 10462, 267, 29321, 548, 2877, 513, 1505, 547, 2061, 1981, 1369, 519, 2754, 563, 4415, 519, 5351, 540, 513, 1981, 1895, 543, 606, 3742, 1981, 9614, 29321, 548, 1223, 9846, 4383, 1981, 1369, 741, 3818, 5991, 1049, 5106, 269, 634, 1079, 3029, 540, 1981, 950, 9027, 908, 10462, 568, 4175, 762, 543, 796, 19055, 762, 269, 1306, 621, 4992, 267, 4175, 762, 1981, 666, 581, 6417, 950, 596, 666, 798, 1945, 827, 621, 267, 1247, 796, 19055, 762, 1981, 666, 581, 2352, 547, 2061, 689, 9648, 269, 589, 2754, 666, 6451, 1981, 1210, 519, 1981, 4879, 1282, 3375, 6194, 1184, 563, 288, 2754, 814, 547, 5173, 741, 1981, 676, 14921, 519, 1079, 17950, 540, 11050, 1981, 4879, 281, 3775, 1464, 540, 2062, 5408, 2702, 540, 2680, 267, 12136, 543, 1761, 2530, 269, 769, 11875, 902, 976, 685, 2376, 267, 12861, 10025, 570, 893, 11485, 630, 1001, 271, 267, 533, 269, 476, 272, 264, 519, 3670, 2596, 3268, 585, 713, 1184, 616, 281, 19372, 2796, 676, 25034, 4328, 1883, 1871, 10256, 630, 6011, 5763, 568, 2813, 1070, 10576, 14573, 630, 1811, 547, 22945, 267, 2268, 543, 6895, 519, 1883, 1871, 10256, 1070, 18430, 2566, 4255, 610, 13502, 540, 707, 1883, 14573, 267, 10576, 543, 2708, 12007, 4220, 1644, 547, 707, 1871, 10256, 267, 29594, 547, 519, 4220, 630, 339, 805, 267, 4483, 267, 2165, 3729, 610, 20496, 1070, 543, 4004, 6510, 2164, 540, 1883, 9920, 2773, 543, 1981, 2359, 630, 328, 269, 552, 269, 519, 2754, 779, 1981, 14031, 543, 1981, 4598, 547, 782, 4857, 4220, 1916, 18455, 1134, 3964, 5001, 267, 3549, 899, 4937, 24759, 8179, 29321, 548, 607, 606, 5413, 547, 3486, 4123, 543, 19710, 1175, 585, 29321, 548, 547, 22937, 741, 2012, 269, 670, 597, 22385, 344, 630, 1220, 279, 264, 2829, 267, 968, 10214, 29505, 1426, 9649, 29321, 548, 8179, 543, 5833, 513, 4745, 14679, 6876, 609, 4937, 24759, 2864, 982, 4283, 519, 5732, 29988, 3864, 14254, 23611, 2344, 676, 3294, 892, 630, 335, 269, 476, 2004, 280, 1040, 634, 5383, 540, 29321, 548, 13143, 532, 998, 4914, 6990, 6971, 11891, 543, 4679, 6455, 540, 519, 18294, 799, 2636, 606, 2079, 593, 2344, 1761, 563, 4913, 267, 13143, 532, 829, 1770, 666, 581, 14427, 607, 513, 19319, 547, 29321, 548, 269, 26269, 666, 3006, 581, 19451, 607, 513, 1373, 3983, 267, 2705, 2348, 15712, 666, 581, 1434, 585, 8907, 269, 968, 4467, 7065, 819, 568, 513, 21739, 10694, 4183, 540, 519, 3854, 2065, 1062, 1317, 621, 8952, 3790, 543, 5777, 1970, 892, 630, 295, 597, 22385, 344, 267, 476, 1220, 279, 267, 533, 269, 476, 1015, 1040, 2060, 31195, 18297, 18368, 543, 12725, 930, 540, 519, 7887, 3486, 15712, 540, 29321, 548, 6820, 616, 281, 9370, 14119, 730, 267, 918, 2761, 16639, 267, 543, 1133, 850, 591, 269, 15733, 543, 2533, 9305, 29321, 548, 547, 15712, 267, 855, 789, 2721, 3515, 609, 741, 14499, 2994, 563, 303, 878, 532, 2994, 1711, 7082, 6990, 543, 513, 2039, 540, 6725, 8244, 269, 29321, 548, 9411, 4000, 543, 519, 5664, 5101, 6616, 741, 2783, 543, 609, 519, 1981, 3964, 513, 1007, 2344, 269, 29321, 548, 6820, 568, 519, 13653, 540, 5354, 540, 519, 476, 279, 267, 1822, 7132, 12478, 269, 29321, 548, 6820, 568, 1634, 547, 723, 513, 5458, 6725, 2319, 609, 1016, 2516, 602, 1445, 593, 1896, 12478, 543, 7082, 6499, 269, 11109, 1455, 2472, 689, 1476, 1254, 776, 547, 4620, 3536, 267, 29321, 548, 15712, 723, 891, 2472, 2139, 538, 519, 1482, 13664, 6753, 563, 288, 1804, 4357, 1977, 16073, 5713, 2127, 5001, 609, 4238, 538, 936, 476, 10463, 2477, 9370, 5549, 269, 543, 29321, 548, 6820, 723, 1896, 3077, 6990, 547, 799, 789, 2671, 281, 5245, 267, 19934, 267, 16266, 543, 811, 269, 6145, 29321, 548, 6820, 513, 1804, 4830, 543, 1857, 18294, 8547, 538, 3013, 267, 918, 2761, 3536, 5549, 269, 814, 2518, 6990, 538, 3345, 3013, 267, 5824, 3013, 267, 2342, 267, 543, 5607, 7414, 269, 6271, 1804, 1857, 2754, 1133, 850, 591, 568, 513, 3703, 5937, 8553, 18294, 543, 2101, 2841, 3218, 547, 29321, 548, 269, 13518, 899, 824, 15712, 1133, 850, 591, 9072, 519, 1482, 2518, 6990, 607, 29321, 548, 538, 4000, 267, 519, 5664, 5101, 543, 519, 17113, 563, 303, 871, 1645, 267, 2450, 543, 8244, 666, 1611, 513, 2603, 1369, 6735, 269, 29321, 548, 11099, 602, 6800, 5660, 519, 8244, 540, 519, 2450, 540, 26192, 5020, 1216, 543, 15165, 2450, 2472, 616, 3812, 607, 3533, 13000, 543, 5428, 7957, 832, 269, 11283, 725, 899, 9370, 267, 945, 7472, 930, 540, 17113, 29202, 281, 10965, 1157, 619, 267, 631, 282, 16039, 267, 543, 3828, 1460, 723, 513, 17811, 3970, 540, 476, 7742, 829, 3046, 269, 901, 3340, 519, 18294, 7429, 29321, 548, 547, 4894, 4622, 2450, 13063, 689, 21684, 607, 513, 3804, 547, 1732, 741, 6216, 269, 1133, 850, 591, 11099, 538, 4657, 11183, 2450, 547, 1683, 2582, 946, 2472, 585, 6800, 563, 4467, 7065, 3218, 918, 2761, 16639, 5549, 269, 18252, 606, 19889, 18185, 547, 1683, 3902, 3608, 543, 2825, 2922, 11183, 269, 2755, 15712, 723, 1455, 2472, 267, 6725, 267, 11183, 267, 2450, 267, 543, 8244, 666, 1118, 513, 3017, 269, 17497, 29321, 548, 568, 909, 1547, 476, 10602, 9077, 918, 2761, 16639, 5549, 267, 1524, 1547, 476, 6021, 4939, 267, 1133, 331, 1882, 1524, 1547, 476, 2004, 10065, 2353, 3246, 3902, 18715, 267, 29321, 548, 568, 8746, 602, 741, 338, 616, 519, 1655, 5777, 547, 2709, 6800, 269, 9737, 476, 1220, 277, 543, 476, 1001, 271, 972, 729, 513, 476, 1691, 260, 6318, 538, 519, 6455, 540, 1476, 1254, 2044, 543, 476, 1704, 260, 593, 10217, 563, 18455, 513, 4357, 11262, 2754, 9370, 5549, 269, 521, 3056, 519, 2841, 3218, 3014, 269, 634, 2883, 1239, 593, 9370, 3884, 1406, 11593, 2139, 543, 741, 6006, 3884, 1406, 2139, 585, 4123, 269, 1280, 21625, 281, 589, 476, 2190, 524, 339, 3046, 689, 9370, 5549, 9832, 689, 1269, 736, 268, 2412, 267, 29321, 548, 1269, 1789, 268, 2004, 267, 543, 918, 2761, 1269, 3451, 268, 2412, 269, 623, 878, 532, 538, 519, 1476, 1254, 2044, 1158, 616, 1236, 21148, 1970, 1317, 540, 11593, 2139, 5079, 689, 865, 1082, 15712, 269, 634, 3017, 10953, 998, 6725, 269, 3245, 5010, 338, 267, 18537, 267, 543, 3915, 15236, 3592, 782, 1106, 540, 6725, 814, 1044, 1031, 547, 9244, 2344, 782, 540, 519, 1657, 15712, 563, 301, 652, 548, 6820, 568, 1634, 547, 723, 513, 5458, 6725, 2319, 609, 1016, 2516, 602, 1445, 593, 1896, 12478, 543, 7082, 6499, 543, 14305, 540, 7482, 865, 602, 6578, 3853, 616, 1558, 269, 29321, 548, 3788, 593, 1283, 676, 3257, 1018, 824, 15712, 3112, 282, 2709, 513, 282, 1804, 543, 1360, 3376, 2039, 540, 2472, 543, 12478, 896, 835, 18371, 18294, 269, 11778, 540, 519, 9695, 2079, 29321, 548, 6820, 642, 269, 12654, 630, 7343, 21043, 589, 6902, 645, 264, 6813, 1390, 2754, 19614, 689, 1434, 9756, 2164, 269, 634, 9756, 14170, 723, 513, 476, 4200, 260, 9756, 1063, 6455, 543, 12654, 269, 901, 6871, 18327, 513, 2178, 9756, 1063, 6455, 543, 12654, 616, 9797, 1644, 547, 835, 1776, 563, 763, 9695, 14170, 10525, 519, 3586, 799, 568, 519, 2557, 540, 1689, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 3374, 1477, 5814, 1770, 11687, 24653, 3698, 32186, 3287, 8029, 825, 6556, 1535, 1477, 825, 586, 815, 1535, 314, 272, 281, 316, 1341, 1535, 11468, 272, 15947, 825, 1247, 586, 11203, 1535, 6769, 1038, 6556, 586, 1477, 1038, 586, 815, 586, 314, 272, 281, 316, 1341, 586, 11468, 272, 316, 24653, 3698, 521, 10079, 263, 3916, 527, 284, 1911, 1822, 271, 8029, 825, 6556, 476, 273, 1477, 825, 711, 318, 18905, 815, 1305, 14052, 825, 585, 1535, 538, 2039, 263, 274, 267, 3970, 267, 476, 273, 8029, 1038, 952, 1535, 538, 711, 318, 18905, 6769, 2018, 3136, 1477, 1038, 6556, 1535, 1477, 1038, 711, 318, 18905, 269, 26303, 263, 9792, 3287, 1341, 1535, 267, 3970, 267, 1535, 17903, 5897, 3698, 2626, 263, 3916, 527, 284, 1911, 1822, 271, 8029, 825, 22136, 815, 1305, 4433, 10079, 263, 3916, 527, 17903, 825, 1293, 815, 476, 271, 1477, 825, 585, 533, 538, 22136, 6769, 1038, 952, 782, 16868, 538, 22136, 585, 678, 538, 4786, 17301, 267, 32186, 19304, 9638, 30727, 8029, 2018, 1293, 6834, 476, 272, 1477, 825, 2132, 1293, 24653, 3698, 2196, 28399, 825, 1820, 263, 24987, 3890, 3418, 5897, 5035, 4530, 3374, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1449, 318, 1410, 4624, 4311, 8029, 1038, 4397, 815, 476, 4649, 1477, 1038, 1582, 27863, 263, 24987, 19572, 4397, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2196, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 277, 1477, 5814, 1770, 11687, 24653, 3698, 4009, 15058, 23544, 3799, 8029, 825, 1535, 815, 2040, 263, 9792, 263, 272, 267, 562, 1341, 476, 272, 17903, 825, 2132, 1535, 2608, 1535, 24653, 3698, 2040, 15058, 5334, 638, 4100, 3799, 8029, 825, 2132, 2040, 8443, 343, 2608, 1535, 585, 1535, 538, 2039, 263, 272, 267, 562, 1341, 476, 272, 13580, 3418, 5897, 3698, 3017, 3799, 8029, 825, 2132, 4009, 15058, 23544, 3799, 264, 910, 2040, 15058, 5334, 638, 4100, 3799, 3418, 5897, 3698, 2626, 28399, 825, 2132, 3017, 263, 1911, 3418, 5897, 3698, 2196, 28399, 825, 1820, 263, 24987, 3890, 3418, 5897, 5035, 4530, 277, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1449, 318, 1410, 4624, 4311, 8029, 1038, 4397, 815, 476, 25172, 5038, 272, 2004, 1477, 1038, 1582, 27863, 263, 24987, 19572, 4397, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2196, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 2004, 1477, 5814, 1770, 11687, 24653, 3698, 521, 10079, 263, 3916, 527, 284, 1911, 1822, 271, 8029, 825, 6556, 476, 273, 1477, 825, 5286, 815, 1305, 14052, 825, 585, 1535, 538, 2039, 263, 274, 267, 3970, 267, 476, 273, 8029, 1038, 952, 1535, 538, 5286, 6769, 2018, 3136, 1477, 1038, 6556, 1535, 1477, 1038, 5286, 269, 26303, 263, 9792, 3287, 1341, 1535, 267, 3970, 267, 1535, 17903, 5897, 3698, 2626, 263, 3916, 527, 284, 1911, 1822, 271, 8029, 825, 22136, 815, 1592, 4433, 10079, 263, 3916, 527, 17903, 825, 533, 27133, 815, 1305, 263, 1440, 1307, 3418, 825, 3259, 815, 13074, 23544, 815, 476, 271, 1477, 825, 10457, 815, 1496, 15947, 825, 585, 533, 538, 22136, 6769, 1038, 547, 318, 24525, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 12759, 6262, 663, 573, 919, 264, 8029, 2018, 2698, 267, 1293, 815, 10457, 5157, 15947, 2018, 2698, 6834, 533, 1477, 2018, 1293, 6834, 476, 272, 1477, 2018, 952, 2698, 2999, 3970, 6769, 3546, 10457, 5157, 316, 815, 630, 20135, 267, 1293, 3418, 3546, 952, 1293, 3436, 3259, 543, 2698, 538, 533, 27133, 6769, 7386, 13074, 23544, 267, 3259, 815, 630, 20135, 267, 1293, 3418, 2018, 3116, 6769, 3546, 547, 318, 24525, 6910, 9217, 3418, 1038, 585, 1775, 538, 20328, 263, 1729, 318, 24525, 8029, 2018, 1642, 10457, 5157, 15947, 1038, 10457, 6910, 9230, 335, 267, 476, 272, 17903, 825, 2132, 13074, 23544, 24653, 3698, 2196, 28399, 825, 1948, 1820, 263, 24987, 263, 1911, 4297, 476, 1948, 476, 6078, 1477, 825, 1948, 1820, 263, 24987, 263, 1911, 271, 4297, 476, 1948, 476, 4817, 274, 1477, 825, 1820, 263, 24987, 3890, 3418, 5897, 5035, 4530, 2004, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1449, 318, 1410, 4624, 4311, 8029, 1038, 4397, 815, 476, 4200, 278, 4792, 272, 1477, 1038, 1582, 27863, 263, 24987, 19572, 4397, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2196, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 2537, 1477, 5814, 1770, 11687, 1477, 5228, 2979, 1104, 21762, 1477, 5228, 621, 1068, 8962, 1104, 1491, 6112, 24653, 3698, 2626, 28399, 825, 3970, 815, 476, 27005, 2190, 1477, 825, 1267, 318, 3916, 527, 815, 476, 1001, 7830, 1477, 825, 10731, 815, 1496, 1477, 1038, 562, 585, 562, 538, 2039, 263, 1321, 267, 3970, 3418, 1038, 952, 562, 10922, 2040, 20719, 1477, 2018, 535, 1477, 2018, 585, 1775, 538, 2039, 263, 273, 267, 703, 4433, 5720, 3799, 4297, 1341, 476, 272, 3418, 2018, 952, 562, 4939, 1775, 2652, 476, 271, 1477, 2018, 585, 535, 538, 630, 328, 267, 562, 12262, 1775, 3418, 1038, 7684, 3418, 825, 9948, 1477, 825, 521, 318, 629, 1495, 656, 815, 1305, 263, 629, 1495, 656, 3418, 825, 2132, 476, 28510, 1341, 2040, 263, 1477, 1038, 1535, 585, 1535, 538, 2039, 263, 1839, 267, 1267, 318, 3916, 527, 3418, 1038, 952, 782, 263, 1477, 2018, 1535, 910, 513, 711, 538, 521, 318, 629, 1495, 656, 1477, 2018, 585, 513, 538, 1491, 6112, 10857, 10033, 513, 281, 1535, 3436, 513, 267, 10731, 3418, 1038, 476, 3418, 825, 476, 3418, 5897, 3698, 2196, 28399, 825, 1820, 263, 24987, 3890, 3418, 5897, 5035, 4530, 2537, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1449, 318, 1410, 4624, 4311, 8029, 1038, 4397, 815, 476, 275, 1704, 7176, 278, 272, 1477, 1038, 1582, 27863, 263, 24987, 19572, 4397, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2196, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 2918, 1477, 5814, 1770, 11687, 24653, 3698, 521, 10079, 263, 3916, 527, 284, 1911, 876, 8029, 825, 711, 318, 18905, 815, 1305, 14052, 825, 585, 1535, 538, 2039, 263, 273, 267, 3970, 8029, 1038, 952, 1535, 538, 711, 318, 18905, 6769, 2018, 3136, 1477, 1038, 6556, 1535, 1477, 1038, 711, 318, 18905, 269, 26303, 263, 9792, 3287, 1341, 1535, 267, 3970, 267, 1535, 17903, 5897, 3698, 1617, 318, 4650, 3799, 8029, 825, 1535, 815, 476, 1015, 1477, 825, 737, 815, 476, 272, 1477, 825, 1247, 1535, 4939, 562, 11203, 476, 272, 6769, 1038, 1535, 2608, 284, 476, 1015, 1477, 1038, 737, 6834, 476, 272, 1477, 825, 2132, 737, 24653, 3698, 2626, 263, 3916, 527, 284, 1911, 271, 8029, 825, 22136, 815, 1592, 4433, 10079, 263, 3916, 527, 4297, 314, 274, 281, 15947, 825, 2132, 3193, 263, 1477, 1038, 23407, 9852, 777, 9852, 738, 318, 4650, 267, 22136, 1070, 22136, 3418, 825, 3738, 314, 272, 316, 24653, 3698, 2196, 28399, 825, 1948, 1820, 263, 24987, 263, 1015, 17903, 825, 1948, 1820, 263, 24987, 263, 1911, 17903, 825, 1820, 263, 24987, 3890, 3418, 5897, 5035, 4530, 2918, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1219, 1449, 318, 1410, 4624, 4311, 8029, 1038, 4397, 815, 476, 7176, 274, 1477, 1038, 1582, 27863, 263, 24987, 19572, 4397, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2196, 14052, 0, 258, 4517, 4319, 26436, 692, 258, 15927, 7465, 692, 3698, 7887, 3287, 2187, 825, 585, 1775, 538, 1535, 912, 1038, 952, 1535, 314, 271, 316, 285, 343, 314, 272, 316, 543, 1535, 314, 271, 316, 285, 343, 314, 273, 14158, 2018, 7887, 815, 1535, 314, 271, 2639, 1038, 952, 1535, 314, 272, 316, 285, 343, 314, 271, 316, 543, 1535, 314, 272, 316, 285, 343, 314, 273, 14158, 2018, 7887, 815, 1535, 314, 272, 2639, 1038, 952, 1535, 314, 273, 316, 285, 343, 314, 272, 316, 543, 1535, 314, 273, 316, 285, 343, 314, 271, 14158, 2018, 7887, 815, 1535, 314, 273, 2639, 825, 2132, 7887, 454, 2745, 6357, 580, 7465, 8443, 273, 267, 275, 267, 277, 8079, 2020, 19638, 3698, 28219, 276, 10031, 825, 586, 815, 11713, 825, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 825, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 825, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 825, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 825, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 8931, 825, 2132, 586, 22562, 2745, 263, 8681, 276, 15405, 13872, 12163, 258, 8681, 276, 454, 5228, 4351, 1104, 28219, 842, 7531, 3698, 28219, 276, 3287, 2187, 825, 1775, 815, 476, 271, 454, 825, 586, 815, 11713, 825, 1247, 1775, 283, 277, 912, 1038, 586, 6910, 3488, 8681, 842, 263, 271, 267, 6200, 264, 5073, 825, 1775, 815, 1775, 1341, 476, 272, 454, 2745, 263, 8681, 276, 15405, 13872, 20701, 258, 18431, 292, 2211, 692, 3698, 2063, 3287, 2187, 825, 2063, 292, 815, 2063, 15631, 272, 2639, 825, 2132, 2063, 292, 692, 2745, 10857, 770, 8443, 262, 13906, 12887, 27594, 12887, 7806, 262, 8079, 9239, 0, 5814, 4351, 454, 5814, 795, 5459, 692, 258, 11822, 670, 836, 2006, 10794, 454, 258, 23095, 676, 2051, 514, 5062, 293, 22611, 2033, 454, 258, 2904, 476, 275, 628, 267, 476, 1708, 271, 454, 258, 29740, 609, 7005, 2914, 3581, 795, 5459, 689, 4179, 2517, 326, 603, 889, 2593, 7933, 342, 2643, 270, 1263, 1501, 2914, 3581, 692, 6919, 19553, 5459, 815, 1412, 6919, 5091, 5315, 12459, 5459, 28847, 258, 717, 1115, 513, 4351, 2262, 689, 519, 795, 5459, 267, 9397, 519, 2262, 883, 782, 922, 5022, 454, 258, 26761, 13290, 547, 7058, 519, 5022, 538, 519, 2016, 2262, 454, 258, 1403, 519, 6345, 4991, 782, 519, 5022, 1354, 4881, 856, 540, 2729, 789, 3094, 267, 6382, 621, 568, 3014, 936, 454, 3698, 1292, 10031, 825, 1913, 815, 1224, 5091, 5315, 4590, 825, 5697, 29999, 815, 4351, 26716, 4069, 17338, 263, 6919, 4917, 825, 5697, 318, 24393, 815, 1592, 263, 572, 21124, 29999, 994, 825, 31665, 318, 24393, 815, 11713, 825, 6345, 9078, 1161, 815, 476, 277, 692, 825, 1820, 2891, 8702, 547, 670, 836, 2006, 32405, 825, 1820, 2891, 2791, 723, 547, 7058, 782, 519, 5022, 538, 519, 2016, 2262, 23528, 825, 1820, 2891, 2791, 723, 476, 277, 2729, 267, 1169, 11234, 4484, 786, 1491, 476, 272, 1272, 2476, 269, 6153, 9939, 32405, 825, 1820, 19629, 339, 15419, 825, 1247, 2638, 318, 29674, 539, 263, 29674, 539, 318, 24393, 267, 5697, 318, 24393, 2187, 1038, 952, 6345, 9078, 1161, 2652, 476, 271, 912, 2018, 1820, 2891, 2791, 723, 2196, 856, 540, 2729, 32405, 2018, 1820, 2891, 763, 2262, 729, 24333, 5697, 29999, 994, 2018, 1820, 2891, 29228, 3683, 23528, 2018, 2736, 454, 1038, 3116, 1384, 2018, 1820, 2891, 14483, 2729, 24333, 6345, 9078, 1161, 2020, 2018, 856, 29999, 815, 11713, 2018, 585, 4484, 538, 5697, 318, 24393, 912, 3546, 952, 4484, 538, 31665, 318, 24393, 912, 7386, 856, 29999, 6910, 263, 12072, 994, 3546, 3116, 912, 7386, 856, 29999, 6910, 2891, 318, 5602, 2018, 1820, 28949, 719, 29999, 2020, 2018, 1247, 476, 272, 1384, 3546, 7058, 815, 3403, 2891, 10817, 612, 513, 4484, 281, 19515, 3546, 1820, 19629, 339, 15419, 3546, 952, 7003, 263, 29674, 264, 3436, 476, 272, 912, 7386, 1820, 2891, 10817, 612, 711, 513, 4484, 2119, 1586, 1701, 2020, 3546, 8640, 7058, 538, 31665, 318, 24393, 912, 7386, 1820, 2891, 2704, 2819, 31665, 602, 4484, 269, 8347, 1586, 1701, 2020, 3546, 8640, 7058, 538, 5697, 318, 24393, 912, 7386, 1820, 2891, 11749, 573, 4484, 23528, 7386, 31665, 318, 24393, 6910, 263, 29674, 994, 7386, 1820, 19629, 339, 5602, 7386, 2736, 692, 3546, 3116, 912, 7386, 1820, 2891, 4131, 614, 711, 538, 2262, 23528, 7386, 6345, 9078, 1161, 815, 6345, 9078, 1161, 910, 476, 272, 454, 7386, 31665, 318, 24393, 6910, 263, 29674, 994, 7386, 1820, 19629, 339, 5602, 7386, 2736, 692, 825, 952, 6345, 9078, 1161, 3436, 476, 271, 912, 1038, 1820, 28949, 572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26590, 15820, 4598, 543, 12012, 3679, 1700, 19668, 2829, 269, 4083, 269, 12186, 593, 3635, 2773, 543, 4887, 543, 1973, 14915, 622, 269, 20195, 808, 10331, 4284, 2723, 20431, 4284, 2723, 269, 476, 2735, 279, 282, 6872, 263, 275, 2567, 275, 3393, 1700, 7906, 563, 295, 320, 1380, 342, 9500, 595, 267, 8262, 731, 589, 311, 267, 700, 788, 619, 681, 267, 1696, 620, 269, 31406, 3632, 3433, 28453, 543, 4887, 2773, 538, 8650, 3834, 984, 541, 545, 3834, 2135, 807, 269, 20195, 808, 10331, 4284, 2723, 20431, 4284, 2723, 269, 476, 1960, 276, 282, 10170, 263, 275, 2567, 3607, 273, 1700, 279, 563, 5719, 321, 27699, 267, 717, 965, 15829, 267, 590, 1706, 802, 14408, 267, 1696, 620, 269, 10318, 514, 1218, 540, 22441, 3586, 630, 310, 32426, 540, 519, 1379, 8653, 2078, 896, 2343, 2135, 807, 543, 3834, 2135, 807, 281, 519, 1198, 540, 840, 7721, 9052, 30175, 2670, 269, 20195, 808, 10331, 4284, 2723, 269, 476, 1001, 278, 282, 14056, 263, 276, 2567, 3445, 272, 1700, 1321, 563, 10955, 613, 808, 267, 21674, 667, 267, 6153, 2006, 595, 269, 12186, 540, 5312, 10878, 295, 4596, 274, 28453, 1282, 8884, 2866, 593, 2242, 547, 4887, 17280, 4390, 267, 10307, 267, 543, 2110, 3856, 16608, 2773, 269, 808, 10331, 4284, 2723, 269, 476, 1220, 277, 282, 6200, 263, 274, 2567, 280, 1240, 1700, 1839, 563, 18250, 301, 2795, 2023, 700, 267, 16399, 570, 269, 26590, 8957, 5312, 9770, 22833, 12365, 919, 28453, 543, 26103, 960, 543, 1379, 3977, 269, 808, 11846, 2405, 4284, 28546, 269, 476, 1220, 272, 282, 6078, 281, 27174, 1700, 7830, 563, 18250, 301, 2795, 2023, 700, 267, 7982, 343, 918, 267, 6022, 1067, 717, 267, 1696, 620, 269, 12186, 540, 5312, 22833, 12365, 622, 28453, 593, 519, 2773, 540, 1164, 27233, 960, 269, 20195, 808, 10331, 4284, 2723, 20431, 4284, 2723, 269, 476, 1960, 280, 282, 3199, 263, 275, 2567, 18357, 1700, 277, 563, 291, 537, 9613, 657, 4083, 267, 15310, 537, 4592, 30312, 267, 717, 32490, 537, 5894, 966, 267, 1696, 620, 269, 667, 846, 5829, 2360, 540, 12675, 10878, 295, 4596, 274, 28453, 1282, 1164, 27233, 3635, 269, 2405, 2233, 11846, 18130, 269, 476, 1220, 277, 282, 4343, 263, 1015, 2567, 14690, 277, 1700, 7871, 563, 8245, 338, 5254, 267, 1234, 327, 17243, 27359, 267, 13852, 16066, 267, 1696, 620, 269, 623, 872, 343, 9052, 9770, 15205, 11226, 5714, 3666, 543, 16608, 585, 2021, 16706, 538, 519, 3002, 269, 808, 10331, 4284, 2723, 269, 476, 1220, 278, 282, 9818, 263, 273, 2567, 276, 4097, 1700, 6078, 563, 8245, 338, 5254, 267, 8709, 966, 331, 2884, 700, 267, 595, 582, 614, 808, 291, 267, 1696, 620, 269, 31406, 15205, 11226, 5714, 3666, 543, 6971, 12214, 8833, 540, 8036, 2367, 16706, 538, 519, 3002, 269, 2405, 2233, 11846, 18130, 269, 476, 1220, 278, 282, 4375, 263, 272, 2567, 11277, 1700, 1789, 563, 290, 1551, 589, 297, 267, 6215, 831, 717, 297, 267, 717, 648, 595, 297, 267, 1696, 620, 269, 6356, 540, 9770, 22833, 12365, 622, 593, 1496, 295, 4596, 274, 6567, 3910, 9063, 267, 543, 16063, 2589, 269, 2271, 808, 22505, 25326, 337, 18130, 5450, 629, 269, 476, 1001, 272, 282, 2641, 263, 274, 2567, 6245, 1700, 11463, 563, 25820, 631, 297, 267, 3244, 976, 595, 269, 634, 1198, 540, 9770, 22833, 12365, 622, 28453, 593, 1164, 27233, 26740, 4881, 543, 7766, 2773, 269, 808, 23848, 9473, 1763, 269, 476, 1001, 271, 282, 2190, 263, 278, 2567, 8146, 275, 1700, 5655, 563, 306, 16184, 619, 645, 267, 22312, 595, 267, 20831, 25846, 267, 1696, 620, 269, 31406, 22833, 12365, 622, 543, 1164, 27233, 268, 19464, 4390, 281, 13260, 538, 6114, 269, 2271, 808, 11846, 4284, 2723, 9524, 269, 476, 1001, 275, 282, 280, 263, 275, 2567, 277, 2767, 1700, 3953, 563, 295, 4752, 2006, 808, 305, 267, 13158, 600, 612, 19364, 267, 13056, 3394, 29231, 5084, 267, 1696, 620, 269, 10374, 1673, 4851, 12498, 17038, 29516, 21455, 4679, 2866, 4320, 543, 6971, 16148, 4606, 540, 9854, 538, 2852, 11176, 5716, 269, 25326, 337, 1763, 269, 476, 1220, 279, 282, 2764, 263, 272, 2567, 4029, 1700, 276, 563, 29834, 589, 292, 267, 9855, 808, 305, 267, 918, 754, 718, 918, 299, 267, 1696, 620, 269, 634, 2360, 540, 12498, 17038, 29516, 21455, 543, 1164, 27233, 8884, 2866, 593, 29648, 31100, 9854, 543, 4887, 1599, 269, 20195, 808, 10331, 4284, 2723, 269, 476, 1220, 280, 282, 10755, 263, 274, 2567, 3374, 278, 1700, 8287, 563, 306, 16184, 619, 645, 267, 22312, 595, 267, 20831, 25846, 267, 1696, 620, 269, 6356, 540, 9770, 22833, 12365, 622, 543, 12498, 17038, 29516, 593, 7368, 16204, 6493, 1282, 26740, 3635, 5340, 538, 3834, 2135, 807, 269, 2271, 808, 22505, 25326, 337, 18130, 5450, 629, 269, 476, 1001, 275, 282, 2190, 263, 273, 2567, 3422, 1700, 13078, 563, 289, 4026, 8974, 808, 300, 267, 966, 1551, 658, 324, 589, 267, 700, 2246, 518, 7921, 645, 295, 269, 6356, 540, 715, 14092, 25485, 1097, 4614, 710, 593, 11919, 2166, 4614, 710, 543, 22965, 987, 7748, 1739, 1612, 659, 564, 600, 565, 7245, 269, 20195, 808, 7885, 24103, 565, 269, 476, 2735, 280, 282, 3607, 263, 273, 2567, 14096, 1700, 4029, 563, 20228, 19495, 918, 300, 267, 30605, 1260, 2041, 645, 267, 28615, 700, 298, 267, 1696, 620, 269, 6356, 540, 715, 14092, 25485, 1097, 4614, 710, 593, 15203, 2773, 1310, 14556, 1881, 2866, 269, 2405, 2233, 11846, 18130, 269, 476, 1001, 275, 282, 5379, 263, 277, 2567, 9340, 275, 1700, 2537, 563, 18250, 298, 28225, 631, 297, 267, 2405, 1386, 594, 267, 6153, 2006, 11404, 267, 1696, 620, 269, 715, 14092, 25485, 1097, 4614, 710, 22887, 340, 919, 519, 7771, 538, 4887, 10878, 31956, 918, 266, 268, 335, 2794, 2534, 543, 17799, 9854, 1282, 12675, 3635, 538, 3425, 269, 808, 4284, 2723, 269, 476, 1220, 277, 282, 6872, 277, 27456, 339, 476, 272, 2567, 29344, 1700, 6434, 563, 291, 549, 613, 654, 267, 6601, 527, 330, 516, 583, 345, 681, 269, 3794, 583, 987, 7748, 543, 4761, 1599, 269, 28540, 25326, 337, 17502, 269, 476, 1220, 271, 282, 6795, 263, 275, 2567, 276, 4817, 1700, 7785, 563, 313, 10603, 1258, 6441, 659, 5500, 589, 267, 20405, 1231, 6390, 6441, 529, 3298, 6390, 631, 267, 590, 5414, 326, 3121, 2098, 267, 1696, 620, 269, 3525, 17419, 1198, 540, 715, 14092, 25485, 1097, 4614, 710, 593, 605, 268, 656, 9171, 656, 4567, 543, 688, 14670, 1670, 3210, 538, 2635, 2367, 269, 808, 4284, 2723, 4437, 32554, 269, 476, 1001, 271, 282, 5780, 263, 272, 2567, 1428, 1700, 2641, 563, 295, 32499, 25912, 339, 654, 267, 12138, 590, 267, 645, 11301, 577, 623, 267, 1696, 620, 269, 6356, 540, 715, 14092, 25485, 268, 1097, 4614, 710, 593, 519, 3834, 16464, 5887, 559, 2218, 3210, 543, 22980, 6605, 334, 2884, 514, 2504, 281, 3095, 720, 1063, 11919, 555, 2723, 2699, 2135, 1533, 543, 744, 263, 273, 264, 2447, 657, 27383, 269, 10552, 269, 476, 1220, 273, 282, 4200, 263, 276, 2567, 14028, 273, 1700, 276, 563, 26466, 644, 5460, 29993, 15382, 267, 5576, 872, 321, 918, 295, 267, 654, 625, 324, 589, 267, 1696, 620, 269, 21478, 540, 6417, 3834, 2135, 807, 543, 9097, 25094, 27701, 8069, 593, 22980, 6605, 334, 2884, 514, 543, 4731, 1180, 658, 24957, 9830, 538, 3425, 269, 2920, 320, 4284, 2723, 20280, 269, 476, 1220, 273, 282, 14690, 263, 274, 2567, 23211, 1700, 276, 563, 298, 548, 514, 557, 671, 22743, 267, 5915, 871, 518, 623, 301, 267, 853, 531, 523, 14833, 1030, 19200, 269, 23299, 540, 715, 14092, 25485, 1097, 4614, 710, 547, 2569, 1970, 29213, 9067, 29952, 12444, 714, 1464, 538, 2635, 5396, 269, 20195, 808, 7885, 24103, 565, 269, 476, 1960, 273, 282, 6246, 263, 277, 2567, 277, 4375, 1700, 5655, 563, 300, 880, 571, 918, 303, 267, 717, 534, 9857, 700, 269, 21478, 540, 1164, 15820, 4598, 593, 519, 4761, 1062, 281, 513, 2689, 269, 16332, 565, 15766, 269, 476, 1001, 271, 282, 4375, 263, 274, 2567, 25546, 1700, 4097, 563, 25629, 2967, 570, 312, 267, 15651, 15562, 267, 10557, 962, 298, 267, 1696, 620, 269, 717, 1074, 2998, 21536, 20899, 1349, 585, 6604, 540, 8650, 7823, 19210, 281, 513, 9836, 2689, 543, 13849, 20400, 540, 4351, 2213, 6417, 8062, 269, 22720, 297, 7046, 269, 476, 1001, 279, 282, 279, 263, 279, 2567, 324, 28873, 22650, 563, 294, 1068, 338, 577, 808, 295, 267, 5178, 5500, 520, 645, 267, 9652, 661, 310, 267, 1696, 620, 269, 15932, 2213, 267, 5595, 9420, 267, 21897, 6417, 6476, 540, 717, 1074, 2998, 21536, 20899, 543, 21449, 1794, 565, 29524, 585, 6604, 540, 8650, 7823, 19210, 1851, 22615, 18885, 31939, 24329, 281, 519, 6604, 540, 1164, 15820, 4576, 4693, 630, 303, 11190, 3951, 1040, 22720, 297, 269, 476, 1220, 275, 282, 29044, 263, 278, 4510, 274, 2567, 8064, 278, 563, 289, 320, 13704, 20336, 267, 5096, 625, 645, 269, 4284, 8344, 6286, 540, 15820, 2866, 585, 16608, 2773, 693, 4262, 1377, 281, 513, 2689, 269, 5696, 808, 11846, 2405, 269, 476, 1960, 278, 282, 4029, 263, 274, 2567, 8146, 1700, 3445, 563, 29409, 15676, 14174, 267, 4469, 2803, 589, 267, 5395, 571, 808, 267, 1696, 620, 269, 717, 1074, 2998, 21536, 20899, 11081, 8650, 7823, 19210, 538, 1004, 26799, 547, 1164, 15820, 693, 744, 961, 6558, 630, 3607, 280, 277, 544, 264, 538, 7187, 16266, 269, 8187, 15227, 30287, 2405, 269, 476, 1220, 278, 282, 1240, 263, 275, 2567, 25172, 1700, 278, 563, 294, 817, 10458, 631, 267, 631, 3089, 5460, 29993, 631, 308, 269, 29675, 540, 4401, 10421, 547, 3834, 16464, 2175, 693, 1164, 15820, 269, 808, 10331, 4284, 2723, 269, 476, 1001, 276, 282, 15686, 263, 1321, 2567, 16960, 273, 1700, 2412, 563, 8245, 631, 267, 29861, 5459, 645, 267, 8092, 619, 717, 267, 1696, 620, 269, 11635, 7939, 538, 9845, 281, 3695, 519, 18492, 4783, 543, 2360, 540, 1114, 3635, 23857, 593, 646, 335, 322, 573, 514, 2504, 269, 2271, 808, 22505, 25326, 337, 18130, 5450, 629, 269, 476, 1001, 275, 282, 2190, 263, 273, 2567, 10082, 1700, 9262, 563, 307, 1409, 867, 28251, 267, 590, 569, 717, 297, 267, 670, 23167, 17985, 267, 1696, 620, 269, 14272, 560, 686, 651, 568, 519, 2101, 2014, 540, 8280, 565, 1736, 1282, 4881, 269, 808, 10331, 4284, 2723, 269, 476, 1220, 274, 282, 11463, 263, 272, 2567, 4343, 1700, 5655, 563, 295, 584, 22641, 681, 267, 661, 326, 2993, 594, 269, 11635, 6915, 822, 22355, 543, 8192, 4704, 2418, 269, 2549, 808, 7885, 25326, 337, 269, 476, 1001, 271, 282, 11011, 263, 276, 2567, 16409, 272, 306, 1700, 278, 306, 563, 1607, 7110, 568, 6462, 676, 519, 717, 1807, 1228, 11846, 3163, 4659, 630, 294, 7704, 296, 1040, 634, 7110, 729, 16823, 12995, 676, 18039, 700, 269, 1975, 28625, 267, 945, 13984, 513, 5870, 540, 519, 717, 7704, 296, 16869, 19937, 538, 4728, 476, 1001, 280, 543, 4607, 8956, 7559, 689, 519, 717, 7704, 296, 267, 513, 6498, 540, 623, 10134, 328, 10870, 267, 5549, 1421, 585, 1010, 7589, 538, 519, 5870, 269, 3220, 1975, 28625, 4607, 1100, 8956, 7559, 585, 16823, 11049, 519, 7110, 269, 3220, 1975, 28625, 6700, 9263, 2689, 619, 585, 1142, 1957, 267, 799, 941, 2366, 547, 519, 11846, 6925, 15503, 2987, 16644, 3971, 585, 13170, 267, 1991, 547, 1022, 2689, 619, 1373, 14059, 269, 3220, 1975, 28625, 3177, 8292, 593, 1142, 1957, 543, 1500, 606, 21107, 3375, 1759, 593, 8292, 689, 519, 9263, 2689, 619, 543, 519, 15503, 2987, 16644, 3971, 269, 7316, 3664, 941, 7334, 267, 3220, 1975, 28625, 31570, 609, 519, 15503, 2987, 16644, 3971, 563, 1607, 2376, 568, 1759, 593, 513, 6881, 676, 570, 1370, 853, 2454, 4546, 742, 547, 519, 717, 7704, 296, 16869, 19937, 538, 4728, 476, 1001, 280, 269, 8750, 532, 585, 20343, 693, 602, 5870, 1927, 609, 606, 8956, 10740, 585, 7041, 540, 713, 2376, 941, 3177, 676, 519, 717, 7704, 296, 269, 3143, 824, 2959, 540, 7616, 941, 1031, 547, 4217, 538, 519, 7041, 540, 713, 2376, 563, 18183, 12787, 540, 1719, 454, 307, 1370, 853, 2454, 4546, 742, 267, 8834, 3212, 9934, 267, 23718, 12275, 341, 4618, 6441, 1168, 529, 267, 31929, 8065, 267, 1323, 340, 25391, 22999, 334, 267, 594, 6767, 1261, 1731, 3120, 543, 7200, 1047, 8738, 651, 723, 1100, 7526, 540, 1719, 4143, 547, 519, 1543, 540, 713, 2376, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 1805, 2454, 4546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 5164, 4926, 4096, 593, 519, 3984, 2281, 602, 789, 3468, 547, 16196, 267, 799, 1118, 873, 3984, 1808, 269, 1879, 1336, 3544, 540, 3984, 2281, 267, 8290, 2291, 607, 513, 3940, 10359, 610, 11503, 573, 267, 3006, 20583, 1369, 513, 9245, 269, 634, 11503, 573, 11700, 4680, 2901, 5027, 610, 10717, 799, 9479, 585, 519, 3644, 2609, 269, 21118, 23506, 568, 1813, 547, 1808, 13613, 4609, 593, 519, 3984, 2281, 1572, 13805, 563, 3725, 1061, 528, 4609, 585, 3566, 328, 21301, 616, 1336, 538, 9190, 1591, 6821, 610, 535, 12494, 686, 2801, 610, 9206, 7578, 269, 10960, 1591, 17011, 2270, 13364, 585, 3662, 3644, 779, 8244, 540, 10408, 2188, 2838, 585, 10194, 8691, 538, 519, 3984, 2281, 269, 12025, 540, 8290, 281, 769, 2474, 540, 741, 6207, 2338, 267, 8290, 2408, 547, 581, 519, 1034, 10731, 6211, 9988, 593, 4541, 3047, 269, 634, 1655, 1699, 7447, 568, 602, 972, 616, 513, 627, 25891, 476, 9818, 272, 3644, 5536, 538, 519, 1979, 14459, 269, 1280, 1169, 1480, 593, 519, 4541, 972, 616, 5176, 2997, 690, 611, 549, 779, 1297, 4502, 540, 8290, 269, 901, 14687, 547, 10199, 476, 10482, 8290, 547, 6474, 1169, 1591, 538, 938, 4703, 563, 4913, 267, 1317, 540, 741, 5393, 1507, 2450, 267, 519, 2527, 13615, 909, 538, 891, 8290, 568, 1152, 5111, 476, 276, 260, 540, 519, 605, 28648, 5328, 13947, 269, 634, 25195, 827, 519, 2698, 1297, 540, 8290, 568, 6462, 676, 7403, 1210, 1312, 6475, 543, 28264, 22794, 269, 595, 2355, 573, 19916, 281, 634, 8825, 3940, 7387, 540, 1142, 3644, 568, 1572, 513, 2048, 322, 2355, 573, 269, 2048, 901, 11503, 573, 568, 1500, 909, 540, 3940, 1016, 28493, 1572, 11503, 727, 637, 267, 799, 616, 538, 2490, 1500, 540, 1016, 28493, 1572, 1486, 12002, 269, 634, 11503, 573, 11700, 4680, 519, 4719, 1570, 540, 519, 3644, 269, 595, 2355, 1749, 616, 17618, 9286, 2687, 547, 741, 2497, 543, 2450, 563, 5278, 8290, 267, 971, 607, 3566, 328, 2684, 1137, 267, 723, 2919, 811, 7294, 3889, 1813, 547, 10148, 540, 22786, 269, 2368, 8290, 616, 17158, 539, 267, 2495, 602, 519, 11503, 573, 568, 22862, 609, 513, 20188, 9245, 1634, 607, 519, 10194, 23508, 269, 634, 23508, 568, 9715, 676, 519, 11503, 573, 689, 606, 29296, 9245, 538, 519, 3644, 685, 3984, 282, 1806, 1331, 519, 6418, 6046, 9245, 267, 519, 30110, 22080, 9245, 267, 543, 519, 1591, 779, 9018, 9245, 269, 4495, 519, 3644, 814, 7783, 513, 1591, 543, 5956, 18187, 908, 3294, 267, 1007, 11503, 573, 1016, 28493, 616, 24704, 2687, 547, 519, 4719, 1570, 540, 519, 3644, 267, 1210, 519, 3940, 19777, 11853, 7271, 540, 519, 1591, 563, 7628, 519, 10198, 1184, 267, 513, 22045, 1016, 22780, 568, 19632, 693, 835, 14584, 540, 519, 11503, 573, 269, 3414, 713, 22045, 267, 10194, 5027, 610, 10717, 568, 16487, 883, 519, 11503, 573, 269, 23305, 9382, 540, 2101, 11503, 573, 3940, 25121, 723, 1044, 1031, 547, 30387, 8290, 883, 3885, 269, 5164, 531, 5546, 281, 2290, 1826, 540, 10194, 3337, 568, 513, 927, 673, 3644, 269, 901, 568, 513, 3644, 602, 814, 922, 11503, 573, 8032, 883, 519, 3337, 540, 513, 5614, 267, 2921, 519, 2230, 540, 513, 12718, 610, 11425, 11057, 2497, 269, 901, 1826, 540, 3337, 814, 513, 3844, 13570, 602, 11700, 4680, 922, 31332, 3679, 269, 2368, 540, 891, 8290, 616, 2110, 267, 1247, 1866, 616, 1360, 1279, 563, 6624, 1450, 585, 513, 2603, 540, 8112, 610, 513, 2603, 6551, 7190, 4470, 593, 875, 519, 11503, 727, 637, 616, 11231, 269, 6271, 1826, 540, 10194, 3337, 585, 24317, 10194, 31332, 7408, 568, 1572, 9079, 6242, 14366, 269, 1323, 9079, 6242, 14366, 3644, 568, 513, 3644, 9967, 540, 9838, 1016, 28493, 602, 814, 476, 736, 31164, 21083, 8188, 799, 568, 11231, 538, 513, 27101, 6752, 269, 589, 2027, 1826, 540, 9079, 6242, 14366, 3337, 267, 1572, 513, 7139, 622, 267, 568, 513, 14583, 540, 519, 9079, 6242, 14366, 10194, 3337, 543, 568, 1336, 538, 3566, 328, 2684, 1137, 269, 589, 2603, 540, 8290, 616, 2901, 927, 673, 610, 9079, 6242, 14366, 538, 3337, 563, 6624, 3662, 8290, 267, 799, 1331, 1346, 602, 3468, 3425, 267, 616, 9079, 6242, 14366, 538, 3337, 269, 634, 9079, 6242, 14366, 3337, 814, 1044, 3254, 547, 581, 519, 1034, 6099, 1259, 540, 8108, 513, 10194, 11503, 573, 585, 3875, 4128, 267, 855, 12077, 1813, 547, 519, 1249, 602, 621, 2488, 519, 3644, 609, 513, 1360, 7123, 3337, 609, 513, 2603, 540, 4055, 3330, 585, 519, 4859, 585, 519, 31332, 3679, 269, 769, 1840, 267, 1317, 519, 3940, 1016, 28493, 602, 1118, 909, 519, 3337, 616, 9838, 267, 519, 3644, 3085, 1406, 723, 547, 3653, 513, 2603, 540, 922, 11646, 593, 17683, 1082, 1114, 5686, 540, 5946, 585, 922, 11503, 573, 563, 1607, 5012, 547, 5726, 540, 1648, 543, 4719, 4346, 269, 5164, 531, 23508, 281, 634, 10194, 23508, 568, 606, 3606, 4494, 1472, 519, 3644, 602, 568, 1500, 909, 540, 513, 20188, 21536, 9707, 269, 898, 779, 4494, 621, 568, 711, 585, 4027, 267, 855, 811, 585, 8897, 540, 3968, 269, 2368, 8290, 971, 607, 14798, 543, 1082, 3662, 8290, 723, 713, 10194, 23508, 8720, 741, 8825, 3940, 11503, 1749, 269, 634, 17158, 525, 3335, 2097, 689, 13980, 540, 519, 3984, 1591, 17011, 8485, 30649, 1749, 543, 5946, 267, 855, 1331, 930, 10194, 9848, 19817, 4710, 1231, 269, 1358, 949, 948, 8290, 2057, 519, 3984, 4761, 1062, 1210, 519, 23508, 607, 513, 10465, 563, 12218, 2305, 540, 8290, 281, 5164, 4926, 616, 711, 2356, 9286, 883, 6671, 3454, 21978, 2516, 855, 616, 2356, 19882, 2687, 547, 971, 3601, 607, 2450, 610, 19916, 267, 519, 1826, 540, 31332, 3679, 789, 2270, 267, 519, 2450, 543, 2497, 540, 519, 11503, 573, 543, 519, 1297, 540, 3940, 1016, 28493, 538, 621, 267, 3984, 2249, 267, 543, 6375, 1670, 4162, 269, 5164, 531, 1234, 6473, 281, 5164, 531, 18643, 568, 519, 5250, 540, 6211, 8290, 1282, 519, 3968, 1184, 538, 519, 3077, 3984, 2281, 269, 5164, 4926, 1590, 1101, 1205, 883, 519, 1591, 1354, 10194, 18643, 666, 2049, 563, 5804, 519, 5133, 540, 519, 3644, 267, 519, 3483, 540, 10194, 18643, 568, 547, 1450, 2504, 543, 6668, 540, 922, 2186, 269, 1635, 10451, 10731, 12215, 540, 922, 11646, 543, 11183, 891, 12215, 883, 8290, 267, 519, 3644, 568, 2111, 547, 3136, 3468, 532, 1007, 14747, 269, 1234, 6473, 1063, 8290, 568, 7494, 9867, 543, 5673, 593, 519, 1826, 540, 6090, 3238, 538, 873, 269, 4107, 5027, 8290, 27043, 538, 519, 13540, 1247, 1034, 10717, 8290, 1020, 9003, 538, 32594, 269, 10370, 6776, 18643, 540, 3566, 328, 2684, 1137, 281, 589, 22465, 3566, 328, 21301, 814, 1312, 11430, 6776, 543, 30897, 8328, 9979, 563, 1103, 519, 11430, 6776, 4783, 267, 519, 943, 720, 18187, 919, 543, 30897, 525, 519, 3984, 1591, 269, 769, 519, 30897, 8328, 4783, 267, 943, 720, 5027, 568, 11368, 883, 519, 3984, 11646, 267, 1141, 621, 568, 5293, 593, 547, 7766, 5481, 269, 634, 11430, 6776, 4783, 2164, 538, 519, 9552, 540, 519, 7783, 1591, 543, 922, 9245, 269, 589, 1883, 3017, 1063, 519, 11430, 6776, 543, 30897, 8328, 943, 720, 9979, 568, 602, 538, 519, 11430, 6776, 943, 720, 267, 519, 10194, 5027, 6818, 607, 513, 5094, 11140, 1369, 519, 9190, 1591, 267, 543, 18187, 919, 14384, 689, 519, 3984, 9190, 5027, 269, 700, 903, 4094, 344, 281, 700, 903, 4094, 344, 729, 1101, 6045, 676, 519, 3943, 29489, 27055, 700, 342, 4752, 538, 519, 2038, 476, 4198, 271, 338, 563, 2005, 568, 513, 1826, 540, 1272, 4783, 602, 3217, 1747, 950, 513, 3566, 328, 21301, 3468, 338, 1978, 2010, 540, 4551, 269, 634, 4015, 540, 6090, 538, 519, 31332, 3679, 4295, 540, 513, 3644, 267, 1634, 607, 513, 11646, 267, 540, 519, 3566, 328, 21301, 13788, 883, 519, 15694, 540, 519, 3984, 24059, 543, 18187, 919, 538, 13447, 609, 621, 269, 3143, 28738, 344, 8290, 616, 3812, 269, 5502, 267, 519, 3468, 532, 3644, 6013, 26862, 1369, 519, 24059, 779, 15694, 2394, 519, 24059, 568, 6534, 547, 1978, 15128, 267, 971, 607, 22292, 1769, 269, 8921, 519, 3644, 13788, 513, 1272, 4783, 538, 799, 922, 11646, 568, 2300, 2213, 689, 519, 3984, 15694, 543, 5956, 547, 9062, 267, 8108, 1007, 28738, 344, 8290, 6385, 563, 27407, 519, 9190, 3984, 568, 10032, 543, 519, 3644, 5536, 616, 5950, 883, 519, 1604, 543, 3468, 1007, 9190, 2281, 269, 1234, 6473, 540, 3662, 8290, 281, 634, 2596, 1272, 4783, 5933, 540, 3662, 8290, 8428, 689, 3566, 328, 2684, 1137, 538, 930, 1883, 2081, 269, 476, 272, 269, 3738, 5900, 16670, 268, 3340, 1808, 4205, 1063, 3984, 1591, 11919, 9245, 5946, 543, 10194, 968, 4944, 833, 892, 5946, 630, 523, 975, 539, 264, 610, 11503, 573, 5946, 630, 12061, 10276, 975, 539, 1040, 476, 273, 264, 28678, 268, 676, 1439, 26014, 2670, 610, 12760, 540, 519, 23508, 609, 11919, 9245, 269, 12833, 11510, 796, 1723, 908, 540, 519, 3644, 630, 516, 3161, 540, 5027, 267, 10717, 1040, 2368, 8290, 949, 1831, 30897, 8328, 610, 24353, 1739, 7127, 269, 12467, 289, 3930, 11853, 268, 2608, 3725, 6473, 540, 10194, 10717, 4386, 538, 32594, 269, 2608, 3725, 6473, 540, 10194, 5027, 4386, 538, 13540, 269, 476, 275, 264, 4223, 4851, 268, 10717, 8290, 3335, 27043, 538, 32594, 269, 5027, 8290, 3335, 27043, 538, 13540, 269, 476, 276, 264, 24793, 268, 3842, 561, 1736, 630, 4533, 675, 540, 11919, 9245, 264, 610, 27503, 269, 3984, 1591, 568, 711, 8209, 7166, 269, 634, 1909, 540, 8290, 538, 9435, 281, 1879, 519, 5027, 610, 10717, 5540, 519, 3984, 1591, 779, 6090, 267, 621, 666, 7903, 519, 1591, 4724, 4742, 2860, 269, 11153, 8290, 616, 5532, 609, 2860, 538, 3425, 269, 5637, 5027, 543, 10717, 8290, 723, 1044, 3254, 547, 581, 5827, 540, 4929, 2860, 538, 3425, 563, 22977, 7322, 5174, 1551, 3644, 267, 1480, 13099, 650, 5448, 3644, 267, 17537, 645, 3644, 267, 543, 1480, 15601, 616, 519, 2185, 5027, 8290, 602, 616, 5827, 540, 4929, 519, 1646, 540, 1480, 11871, 269, 5274, 570, 9726, 32430, 3644, 1826, 476, 272, 543, 17537, 595, 8290, 616, 519, 1079, 10717, 8290, 602, 3565, 547, 1480, 11871, 269, 1323, 6059, 19939, 2600, 540, 782, 1480, 11871, 5001, 949, 7654, 581, 11911, 547, 8290, 267, 8204, 513, 1804, 6712, 540, 519, 2518, 2860, 11411, 2221, 269, 3776, 3395, 1702, 540, 519, 1909, 540, 8290, 607, 513, 2014, 540, 2860, 814, 3366, 547, 519, 1646, 540, 10074, 547, 948, 2061, 1978, 1480, 11871, 269, 0, 13563, 4750, 540, 808, 9766, 1440, 28619, 476, 2767, 630, 272, 2567, 14625, 268, 15946, 630, 2735, 273, 994, 20082, 763, 1257, 540, 519, 9139, 568, 14980, 593, 519, 1888, 540, 10324, 11650, 269, 901, 1557, 8942, 547, 7753, 602, 16563, 676, 6313, 519, 14985, 540, 9668, 540, 7060, 607, 1336, 538, 519, 12591, 540, 28676, 543, 8053, 525, 638, 24586, 267, 519, 3140, 1570, 3056, 909, 547, 519, 25799, 13482, 267, 543, 519, 2038, 2259, 540, 519, 3265, 619, 896, 519, 9139, 269, 3245, 519, 3069, 540, 10324, 1379, 3976, 17429, 1027, 519, 1034, 1271, 2152, 4478, 10324, 11650, 666, 581, 9619, 269, 769, 5618, 267, 1247, 519, 1257, 540, 519, 9139, 568, 14980, 827, 10324, 11650, 267, 519, 5943, 2390, 799, 602, 1257, 26520, 568, 711, 269, 589, 1697, 1620, 540, 9668, 540, 7060, 2488, 606, 4367, 547, 519, 1353, 540, 519, 6228, 267, 9165, 267, 543, 1852, 540, 10324, 11650, 269, 901, 568, 519, 1101, 540, 1079, 3594, 593, 519, 1888, 540, 10324, 11650, 269, 589, 2034, 1557, 267, 17729, 1985, 1032, 538, 519, 1977, 4750, 540, 808, 9766, 1440, 28619, 267, 786, 4983, 538, 1469, 782, 4108, 5829, 11650, 1063, 476, 3707, 277, 543, 476, 3192, 277, 454, 13436, 2835, 543, 4930, 454, 763, 3790, 543, 2640, 540, 513, 9668, 540, 7060, 910, 606, 18106, 11731, 1935, 14389, 4275, 674, 1276, 338, 267, 918, 4275, 4425, 518, 1676, 1299, 7579, 1014, 4173, 1245, 910, 7164, 454, 763, 6404, 11156, 8957, 519, 9668, 540, 7060, 281, 3933, 1105, 673, 543, 18211, 7095, 3344, 540, 2413, 9111, 8160, 11077, 17713, 523, 910, 476, 1001, 271, 910, 3778, 540, 11572, 23539, 476, 4029, 630, 274, 2567, 2004, 280, 268, 276, 4029, 563, 2108, 295, 984, 15816, 1772, 540, 519, 11534, 5242, 32722, 892, 23006, 543, 20122, 15816, 593, 519, 8422, 8191, 885, 538, 519, 3557, 10422, 4954, 2871, 9807, 910, 476, 1001, 273, 910, 20122, 15816, 5525, 476, 1839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19453, 1299, 5576, 28704, 630, 1220, 280, 1070, 891, 4539, 616, 2047, 610, 18549, 1644, 547, 519, 5841, 6302, 602, 941, 2813, 676, 519, 7810, 1379, 269, 898, 568, 1271, 547, 4063, 602, 519, 2022, 7810, 543, 519, 28160, 1436, 5322, 7550, 519, 6302, 602, 941, 2813, 676, 891, 7810, 1235, 543, 8754, 2813, 513, 4182, 1533, 269, 4634, 1498, 621, 729, 16545, 602, 519, 4182, 865, 2813, 568, 1114, 689, 519, 7810, 835, 267, 621, 729, 711, 1114, 267, 519, 4182, 7283, 519, 1482, 998, 856, 269, 634, 1523, 540, 26646, 1369, 519, 11182, 2813, 519, 1533, 6082, 998, 7810, 16857, 7047, 13132, 269, 898, 568, 713, 1533, 4182, 602, 8507, 547, 519, 13144, 540, 10665, 538, 799, 519, 4395, 4536, 11182, 941, 4503, 269, 1717, 267, 519, 5137, 540, 10665, 814, 8507, 883, 1978, 2640, 1369, 519, 10665, 609, 2543, 547, 519, 5872, 609, 824, 4182, 2829, 269, 1717, 267, 621, 814, 24905, 1194, 519, 1931, 602, 11478, 1354, 543, 8754, 814, 8507, 547, 1978, 8801, 5222, 269, 634, 2042, 602, 723, 1044, 2813, 676, 519, 2679, 540, 519, 4182, 2829, 1331, 282, 519, 2042, 540, 18441, 267, 2802, 7224, 5991, 1049, 1143, 267, 1016, 15581, 18541, 267, 6803, 885, 543, 3021, 32236, 630, 23210, 267, 476, 1220, 271, 1040, 2353, 891, 723, 8507, 689, 519, 4763, 538, 519, 16857, 3338, 602, 941, 10736, 883, 519, 4182, 2829, 269, 634, 3597, 3123, 540, 782, 891, 2042, 616, 519, 2810, 5872, 1063, 1114, 2950, 602, 814, 2799, 519, 13438, 540, 4655, 269, 901, 666, 581, 4330, 607, 14051, 1419, 17941, 607, 2804, 14051, 799, 568, 519, 2333, 538, 519, 2157, 540, 5872, 1063, 2043, 543, 824, 1870, 9988, 269, 901, 814, 2799, 519, 1259, 2043, 1569, 1344, 267, 1685, 1870, 267, 4483, 1344, 267, 6735, 543, 519, 2489, 2095, 540, 3854, 538, 1114, 11615, 269, 901, 814, 8507, 883, 519, 2318, 5222, 607, 1134, 607, 519, 2942, 4539, 269, 32501, 4016, 547, 519, 5610, 540, 6237, 11615, 267, 4529, 543, 7239, 609, 2543, 547, 6283, 267, 2792, 543, 4123, 269, 634, 1523, 849, 6257, 519, 2242, 602, 723, 3144, 1747, 538, 519, 4207, 2486, 609, 2543, 547, 519, 5872, 543, 23462, 1184, 2066, 519, 1158, 269, 634, 2486, 602, 814, 8854, 998, 713, 1523, 568, 4061, 1767, 547, 581, 2518, 1242, 269, 2755, 1082, 5640, 8044, 602, 14051, 814, 8507, 883, 519, 2799, 2640, 267, 1866, 723, 3144, 14669, 6644, 267, 17548, 602, 713, 814, 8507, 883, 811, 3983, 982, 1434, 269, 634, 8545, 1153, 540, 4661, 31234, 602, 2518, 714, 520, 9357, 814, 2799, 519, 7872, 540, 519, 12499, 5991, 1049, 7526, 543, 519, 3486, 7526, 1247, 4227, 17685, 8590, 17066, 630, 17556, 3455, 267, 476, 1220, 280, 1040, 769, 713, 2796, 267, 621, 568, 10423, 602, 972, 568, 2810, 6161, 543, 7521, 827, 519, 1158, 4708, 543, 519, 3486, 1894, 269, 901, 568, 1317, 14051, 543, 519, 5137, 540, 519, 10665, 723, 7679, 1229, 676, 519, 16857, 1062, 543, 972, 568, 1100, 3476, 9658, 1097, 610, 454, 32637, 267, 5130, 476, 1789, 267, 476, 1708, 271, 454, 3849, 738, 4804, 7869, 4828, 4591, 339, 630, 1001, 272, 1070, 621, 568, 7150, 602, 621, 568, 2556, 547, 3142, 1312, 2035, 540, 519, 6426, 3450, 543, 4207, 2937, 1565, 6436, 1927, 585, 519, 1034, 7145, 269, 769, 519, 4591, 339, 2376, 282, 621, 568, 3254, 602, 19978, 7778, 543, 7664, 4217, 519, 2937, 15226, 538, 11543, 1702, 269, 634, 5079, 835, 2306, 3947, 1483, 1158, 5133, 543, 1379, 666, 1152, 581, 5833, 676, 519, 10513, 13336, 269, 634, 2376, 11828, 519, 6163, 538, 799, 2937, 1565, 2306, 513, 3017, 267, 2436, 543, 5766, 9609, 267, 13710, 1565, 610, 1582, 30928, 1565, 630, 295, 27117, 1040, 16989, 4804, 7869, 585, 519, 26062, 268, 5575, 11416, 12728, 14214, 12953, 11828, 519, 3853, 540, 7855, 547, 1732, 5965, 2933, 547, 1732, 4308, 609, 2937, 6267, 269, 3683, 519, 2063, 476, 1428, 1296, 267, 1565, 6436, 723, 4957, 1360, 26490, 1947, 630, 30560, 26713, 267, 476, 1220, 279, 1040, 1306, 4079, 3136, 547, 1020, 1480, 17550, 2242, 267, 3976, 1565, 3450, 6163, 723, 547, 1689, 547, 1832, 909, 269, 898, 814, 1044, 6444, 602, 609, 942, 3388, 602, 4079, 1995, 568, 851, 540, 519, 1565, 1184, 269, 898, 814, 1044, 2417, 6444, 602, 7855, 723, 547, 2333, 741, 1907, 1305, 547, 4125, 3860, 543, 7499, 12331, 540, 3450, 547, 3914, 513, 9962, 5304, 269, 5637, 4930, 3382, 519, 2479, 19145, 6384, 540, 519, 1480, 20369, 3832, 543, 3872, 6163, 543, 4170, 538, 7231, 609, 2937, 1565, 269, 30451, 723, 547, 3136, 547, 2333, 1702, 1312, 585, 2933, 607, 1134, 607, 1346, 7247, 789, 616, 18997, 269, 7316, 519, 6163, 540, 519, 3450, 1184, 538, 519, 4591, 339, 630, 1001, 272, 264, 2376, 8428, 689, 519, 8585, 26713, 630, 1220, 279, 264, 2376, 267, 789, 1312, 5431, 519, 2242, 538, 2937, 6267, 269, 898, 814, 1044, 6444, 936, 1296, 543, 786, 3136, 585, 1296, 547, 2097, 602, 7855, 540, 4079, 786, 723, 547, 3136, 28798, 741, 5578, 5036, 547, 13918, 519, 1565, 6163, 540, 4079, 269, 4595, 4079, 1451, 8335, 689, 1453, 621, 568, 1271, 547, 1331, 519, 1565, 6163, 2556, 547, 11694, 519, 3646, 540, 7855, 269, 1306, 4079, 1565, 6163, 1689, 621, 786, 581, 2556, 585, 1346, 18997, 4079, 547, 1689, 849, 269, 14506, 2991, 2542, 1312, 4930, 543, 16734, 519, 3498, 538, 1250, 1378, 1272, 543, 1565, 2511, 267, 594, 9959, 602, 4079, 1451, 8335, 269, 1703, 941, 8090, 540, 2347, 17140, 607, 594, 729, 8380, 1250, 4555, 1927, 607, 594, 666, 4043, 547, 581, 10169, 540, 513, 19870, 626, 269, 594, 1185, 519, 20185, 602, 942, 2359, 543, 10721, 1983, 616, 16122, 950, 11264, 606, 7084, 540, 1022, 1826, 269, 634, 4591, 339, 630, 1001, 272, 264, 2376, 9575, 1250, 3007, 7620, 1317, 540, 875, 594, 4043, 547, 1353, 543, 1224, 519, 6426, 538, 1880, 269, 594, 993, 4947, 547, 1174, 811, 543, 811, 875, 594, 1451, 543, 2417, 8275, 602, 519, 2035, 540, 1702, 267, 3903, 543, 1379, 616, 10858, 538, 1250, 1378, 1272, 269, 594, 993, 27278, 676, 519, 1523, 5018, 538, 519, 4591, 339, 2376, 543, 786, 2015, 922, 3498, 547, 1250, 1699, 6426, 1353, 2409, 269, 634, 8585, 26713, 630, 1220, 279, 264, 2376, 568, 4277, 538, 519, 1249, 602, 594, 1185, 1100, 2856, 875, 4101, 621, 568, 585, 7855, 547, 1832, 909, 609, 519, 1565, 7455, 602, 568, 2556, 547, 3136, 3450, 519, 2810, 1297, 540, 2937, 6267, 269, 9861, 856, 540, 519, 2852, 1604, 585, 865, 1279, 267, 594, 8275, 621, 568, 711, 607, 2653, 547, 1175, 1205, 1919, 2944, 609, 782, 540, 519, 7569, 540, 1272, 607, 594, 917, 621, 269, 594, 666, 1294, 875, 1312, 4930, 543, 741, 3450, 6163, 723, 513, 2318, 1764, 593, 7231, 609, 2937, 1565, 269, 2060, 782, 540, 519, 7506, 540, 2528, 267, 2575, 267, 1148, 267, 3092, 267, 621, 568, 16122, 602, 7855, 1265, 513, 1259, 547, 1832, 909, 609, 519, 7569, 540, 18997, 519, 2551, 540, 4079, 13059, 547, 2333, 741, 1702, 547, 1832, 909, 609, 3728, 533, 3166, 1977, 2528, 269, 594, 1631, 723, 513, 1007, 2463, 585, 3610, 593, 782, 2157, 269, 898, 568, 4277, 602, 2937, 19829, 12728, 14214, 24149, 10634, 338, 1265, 568, 865, 2556, 547, 3927, 3914, 4079, 269, 898, 568, 5051, 811, 1455, 585, 4079, 547, 2132, 547, 1153, 585, 513, 1297, 540, 4128, 267, 543, 616, 9141, 547, 8011, 585, 1175, 607, 1082, 4128, 269, 30586, 7855, 8275, 519, 1689, 2556, 547, 10146, 519, 3853, 540, 1346, 4079, 20678, 585, 18454, 1644, 547, 18997, 2933, 269, 22108, 4591, 339, 267, 681, 269, 589, 269, 630, 1001, 272, 1040, 9752, 602, 21810, 281, 11120, 22626, 1272, 1689, 998, 2937, 6426, 3450, 269, 4168, 4065, 4750, 267, 12728, 476, 279, 263, 273, 1070, 476, 14596, 266, 8585, 26713, 267, 590, 269, 645, 269, 630, 1220, 279, 1040, 16989, 1565, 3069, 585, 519, 8938, 23867, 2540, 269, 1715, 19648, 1280, 16989, 1656, 8033, 5224, 4065, 267, 11730, 476, 1220, 279, 267, 17136, 476, 15686, 267, 476, 11152, 268, 7176, 269, 20396, 281, 476, 1015, 269, 476, 1911, 273, 270, 864, 269, 476, 29616, 454, 26607, 11888, 267, 5130, 476, 2420, 267, 476, 1708, 271, 454, 288, 22445, 729, 513, 1268, 9763, 2390, 607, 606, 6273, 4116, 610, 605, 25068, 540, 519, 786, 540, 2696, 269, 11330, 515, 1206, 3142, 519, 2262, 540, 2696, 547, 519, 1004, 540, 2696, 543, 7125, 519, 1004, 547, 4431, 269, 1358, 941, 1572, 676, 2696, 538, 2053, 540, 6433, 267, 543, 941, 6074, 676, 2696, 547, 1291, 3571, 1004, 543, 2149, 873, 269, 834, 296, 786, 6318, 909, 585, 873, 513, 21024, 899, 596, 689, 1851, 741, 1786, 628, 1066, 267, 543, 786, 2322, 3733, 1913, 538, 3571, 5023, 267, 543, 1261, 4927, 3717, 547, 873, 782, 602, 594, 4971, 13924, 269, 1656, 621, 4927, 581, 602, 945, 1197, 786, 711, 5873, 3733, 1913, 267, 799, 1261, 14753, 538, 3733, 2012, 267, 594, 786, 2154, 621, 540, 1864, 263, 5719, 17458, 16860, 476, 1240, 281, 1240, 268, 866, 1040, 257, 1879, 621, 729, 2352, 547, 1294, 519, 1688, 540, 2696, 267, 11330, 515, 1206, 1131, 2285, 4287, 267, 865, 602, 2696, 781, 1004, 917, 1018, 729, 8345, 267, 543, 1018, 789, 1058, 798, 269, 11330, 515, 1206, 941, 519, 17723, 14214, 12953, 30755, 257, 325, 28232, 2995, 619, 12728, 14214, 12953, 945, 723, 5813, 883, 2696, 781, 5301, 585, 1082, 1919, 269, 634, 22445, 14753, 547, 519, 1459, 267, 6236, 519, 2104, 602, 2696, 814, 7000, 547, 1864, 269, 1358, 849, 4607, 1007, 9163, 950, 2696, 7125, 593, 873, 547, 957, 538, 3571, 2012, 269, 11330, 515, 1206, 688, 341, 552, 2944, 1082, 1919, 267, 1100, 1079, 28556, 941, 1572, 547, 798, 519, 1482, 3364, 543, 12728, 1169, 22445, 814, 1185, 513, 9295, 538, 8876, 856, 519, 10752, 540, 2696, 269, 634, 22445, 267, 2549, 657, 267, 3262, 519, 6478, 540, 2696, 538, 971, 513, 1259, 602, 6273, 5609, 2996, 547, 1265, 25863, 269, 634, 1272, 602, 2549, 657, 5030, 267, 6766, 519, 1826, 540, 22445, 602, 646, 2968, 269, 2549, 657, 18922, 17723, 14214, 12953, 30755, 257, 1729, 4163, 519, 11411, 267, 12728, 14214, 12953, 543, 519, 11411, 602, 646, 5645, 941, 519, 21359, 540, 519, 25232, 693, 519, 942, 269, 4256, 21359, 1185, 606, 1764, 593, 1010, 1272, 269, 2549, 657, 5030, 1282, 17723, 14214, 12953, 30755, 257, 1492, 2395, 540, 772, 3960, 11672, 4622, 540, 28311, 543, 538, 519, 2395, 540, 7603, 984, 27961, 519, 5067, 540, 11835, 1662, 267, 4622, 540, 5840, 267, 1079, 1296, 1354, 519, 13091, 263, 2464, 309, 269, 2549, 657, 267, 2271, 549, 1070, 12728, 14214, 12953, 543, 5249, 607, 513, 1352, 23311, 538, 519, 4884, 540, 1855, 330, 10394, 538, 28311, 267, 11021, 602, 646, 729, 689, 519, 2539, 16034, 540, 2486, 267, 17723, 14214, 12953, 30755, 19285, 729, 9444, 513, 4412, 1862, 3267, 282, 12728, 17723, 707, 32234, 616, 513, 23296, 577, 547, 803, 630, 8649, 657, 476, 276, 269, 2641, 1040, 12728, 14214, 12953, 4438, 2549, 657, 12728, 14214, 24149, 10634, 942, 267, 519, 1004, 4847, 561, 755, 267, 11348, 543, 26846, 547, 1491, 1852, 543, 1831, 519, 1292, 1445, 540, 741, 2729, 269, 2696, 7140, 547, 2549, 657, 543, 6499, 1864, 547, 2491, 547, 519, 1004, 540, 5840, 519, 4539, 540, 741, 7180, 269, 634, 7083, 6941, 267, 17723, 14214, 12953, 30755, 257, 17723, 14214, 12953, 383, 489, 2690, 1614, 21359, 540, 5840, 267, 12728, 1256, 585, 2185, 267, 594, 786, 711, 24491, 269, 5445, 6133, 519, 17608, 585, 8988, 267, 12728, 543, 519, 991, 344, 585, 513, 6292, 540, 5070, 1023, 12728, 14214, 24149, 10634, 263, 8649, 657, 476, 273, 269, 277, 1040, 12728, 14214, 12953, 2549, 657, 568, 796, 777, 860, 2045, 950, 646, 20475, 519, 4636, 4777, 902, 540, 10340, 3196, 2685, 267, 543, 519, 2242, 602, 1004, 1590, 1118, 538, 741, 2729, 269, 634, 1004, 3111, 547, 6432, 547, 2549, 657, 799, 5012, 547, 519, 9552, 540, 5840, 269, 1879, 5840, 568, 10057, 676, 9552, 267, 621, 568, 6045, 607, 267, 17723, 14214, 12953, 30755, 257, 12663, 711, 519, 1554, 540, 519, 7083, 581, 14334, 267, 711, 1769, 12728, 14214, 24149, 335, 3558, 1673, 1046, 267, 1510, 513, 18422, 540, 21386, 286, 263, 8649, 657, 476, 276, 269, 736, 264, 12728, 14214, 12953, 634, 9552, 540, 5840, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2367, 269, 4578, 2303, 602, 519, 11841, 540, 891, 543, 824, 590, 30454, 568, 2362, 538, 9049, 300, 982, 538, 2367, 945, 723, 3023, 1152, 609, 2021, 563, 295, 4353, 21904, 723, 15468, 1851, 7630, 1470, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 781, 7126, 543, 22206, 14141, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3778, 1315, 2136, 2276, 1315, 4937, 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, 8861, 1185, 2141, 1044, 513, 5260, 11803, 1094, 591, 267, 29367, 4259, 11735, 2724, 1142, 3923, 585, 1200, 2104, 1753, 269, 2701, 729, 5462, 547, 1831, 513, 1753, 26782, 1354, 1352, 5828, 13977, 267, 543, 1352, 1185, 6368, 1336, 519, 3501, 2777, 1107, 513, 18241, 1614, 1532, 539, 3336, 536, 25193, 578, 31314, 538, 513, 9602, 8378, 269, 3767, 782, 1352, 2877, 729, 513, 20251, 780, 2026, 513, 1101, 6066, 1753, 321, 8500, 518, 267, 8861, 6785, 1352, 1185, 513, 2603, 547, 1451, 827, 6180, 326, 1137, 267, 865, 1352, 8179, 856, 519, 5796, 540, 1200, 3659, 3627, 267, 945, 5249, 607, 513, 10211, 11464, 693, 513, 2199, 4871, 269, 3683, 12899, 693, 513, 14297, 22538, 2946, 267, 8861, 6045, 1200, 3510, 547, 3627, 543, 4280, 1864, 875, 519, 3259, 540, 513, 20251, 2165, 1522, 1764, 1200, 18083, 780, 11990, 10709, 539, 1394, 538, 1010, 11381, 267, 521, 6235, 1010, 6995, 24617, 269, 968, 11039, 2223, 646, 3459, 267, 968, 1492, 3259, 540, 707, 20251, 2165, 666, 723, 513, 1713, 1198, 593, 519, 2949, 2179, 596, 1439, 909, 9878, 269, 589, 3476, 20251, 2165, 2356, 1797, 596, 3513, 2628, 811, 538, 1719, 936, 519, 1272, 540, 519, 10211, 2094, 972, 781, 3274, 811, 942, 585, 1719, 547, 1628, 909, 269, 1809, 267, 621, 849, 3335, 2164, 538, 4130, 10865, 11033, 267, 799, 666, 581, 5363, 952, 596, 2811, 2324, 609, 513, 9395, 6578, 14325, 27880, 535, 27547, 267, 544, 1638, 532, 713, 936, 269, 4014, 1352, 4941, 547, 4688, 607, 1454, 2724, 607, 2009, 267, 1352, 7948, 1405, 20912, 602, 2921, 593, 513, 3677, 10865, 8569, 1223, 8833, 1200, 2907, 21401, 18083, 780, 8450, 532, 1200, 14196, 267, 3627, 4797, 267, 968, 4002, 519, 824, 1688, 267, 513, 10156, 20251, 2165, 1419, 2501, 609, 2362, 10865, 11033, 267, 855, 596, 3513, 6038, 2628, 1447, 538, 1719, 936, 519, 1272, 540, 519, 10211, 269, 898, 781, 2731, 513, 2339, 540, 4466, 513, 3666, 1063, 1018, 596, 666, 6488, 1631, 543, 1018, 596, 1616, 547, 6108, 538, 519, 1279, 2196, 14325, 306, 19488, 267, 606, 3134, 13023, 1415, 13351, 8861, 269, 4173, 31117, 609, 10893, 1719, 3790, 15763, 513, 4909, 2460, 540, 1200, 3804, 281, 4742, 513, 1753, 26782, 676, 2085, 13977, 269, 634, 2604, 547, 3035, 713, 24182, 6531, 539, 1200, 10385, 267, 1818, 1200, 7340, 519, 2956, 540, 11981, 519, 3460, 2509, 1200, 5326, 269, 2060, 16012, 9355, 267, 8861, 7691, 1352, 4769, 1405, 1616, 519, 3773, 2566, 540, 1804, 10865, 11033, 3138, 4040, 936, 1200, 2212, 1282, 891, 24233, 1296, 780, 10712, 4979, 16416, 2685, 693, 3627, 267, 1352, 9684, 539, 1864, 585, 4543, 1200, 1294, 1919, 689, 513, 1114, 5133, 269, 1358, 6170, 519, 1964, 540, 741, 7594, 7234, 1585, 2994, 547, 11126, 1200, 20251, 1247, 5329, 1200, 11033, 10257, 269, 1306, 789, 851, 539, 2081, 267, 8861, 5433, 18507, 585, 741, 6643, 543, 9599, 547, 7832, 593, 1200, 1753, 1144, 11429, 3460, 1510, 519, 11411, 540, 11991, 2883, 2566, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1281, 519, 3259, 540, 513, 20251, 2165, 1860, 519, 2698, 2179, 540, 1719, 6976, 936, 519, 1272, 540, 519, 10211, 888, 763, 3259, 540, 513, 20251, 2165, 666, 3648, 1860, 519, 2698, 2179, 540, 1719, 6976, 936, 519, 1272, 540, 519, 10211, 269, 13575, 267, 519, 3476, 519, 20251, 2165, 267, 519, 811, 1719, 513, 10210, 518, 786, 2628, 269, 1280, 1383, 267, 513, 476, 1789, 4458, 20251, 786, 1267, 538, 811, 1719, 6976, 982, 513, 476, 1428, 4458, 20251, 1317, 519, 3476, 2165, 2636, 585, 811, 942, 585, 1719, 547, 934, 4902, 780, 4913, 267, 513, 3476, 20251, 2165, 666, 849, 1267, 538, 2539, 10865, 11033, 267, 799, 666, 581, 811, 19242, 585, 930, 10210, 619, 269, 17957, 267, 513, 10156, 20251, 2165, 786, 1267, 538, 2362, 10865, 11033, 267, 855, 1447, 1719, 6976, 936, 519, 1272, 540, 519, 10211, 780, 13295, 267, 621, 568, 1271, 585, 10210, 619, 547, 2015, 1312, 519, 3259, 540, 519, 20251, 2165, 543, 741, 2702, 547, 1118, 2362, 10865, 11033, 538, 1931, 547, 3313, 519, 1034, 1942, 15807, 4781, 585, 741, 2883, 3510, 14325, 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, 3848, 476, 276, 281, 3733, 20799, 2135, 1231, 543, 22960, 281, 589, 674, 25193, 1280, 599, 883, 22960, 5071, 692, 1103, 2487, 1296, 267, 972, 814, 1044, 513, 3395, 1719, 538, 519, 10167, 1063, 2257, 543, 6752, 267, 3226, 538, 519, 7706, 540, 24684, 543, 922, 1761, 3156, 538, 7802, 1374, 269, 2290, 971, 1858, 602, 814, 21959, 1229, 3007, 568, 519, 946, 540, 6694, 1250, 20799, 2135, 1231, 538, 2870, 5499, 2326, 543, 3270, 585, 6752, 269, 2755, 713, 949, 3100, 899, 606, 8966, 30010, 267, 621, 568, 513, 4241, 1383, 540, 875, 9583, 19635, 4610, 666, 12969, 547, 1711, 1945, 5963, 2189, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 1250, 20799, 2135, 1231, 543, 2263, 741, 1761, 1764, 593, 519, 6752, 2872, 780, 7069, 20799, 2135, 1231, 616, 6281, 31571, 3812, 676, 1978, 2010, 540, 13271, 267, 1519, 1346, 4122, 1336, 538, 6683, 269, 1452, 7135, 666, 8764, 622, 7031, 543, 10460, 1713, 1072, 4220, 547, 1312, 3425, 543, 2831, 950, 28041, 269, 1717, 267, 3173, 723, 4362, 602, 930, 1250, 20799, 2135, 1231, 666, 849, 581, 1031, 547, 1711, 6946, 3270, 543, 4778, 538, 5958, 267, 6679, 909, 3078, 7399, 585, 6752, 9858, 780, 3080, 540, 519, 1883, 5716, 538, 713, 2361, 568, 519, 17343, 1306, 704, 326, 22346, 24094, 1421, 799, 7472, 513, 1826, 540, 1250, 20799, 28845, 1572, 522, 577, 7806, 28845, 589, 269, 901, 7623, 814, 1044, 3254, 547, 12622, 9244, 547, 5946, 267, 1818, 621, 606, 4998, 11134, 585, 10085, 4370, 17234, 269, 1635, 9013, 519, 2208, 2175, 540, 519, 17343, 267, 3744, 666, 13861, 519, 3337, 543, 2450, 540, 519, 4611, 14848, 267, 3056, 547, 513, 2039, 540, 7524, 4778, 543, 3270, 780, 1607, 4480, 814, 2907, 1044, 8268, 676, 1896, 6752, 9858, 945, 723, 11368, 1250, 20799, 28845, 1673, 26191, 17234, 883, 741, 10070, 269, 1280, 3236, 267, 10656, 14704, 1323, 537, 330, 654, 2089, 516, 19816, 2813, 513, 10875, 575, 1144, 10023, 513, 13506, 4806, 1500, 689, 522, 577, 7806, 28845, 589, 269, 6684, 267, 8241, 6003, 29706, 31769, 4041, 814, 4603, 539, 609, 6220, 1250, 20799, 28845, 2861, 24470, 883, 741, 6272, 267, 2870, 3750, 2275, 10248, 4773, 602, 4161, 2757, 18765, 540, 5898, 543, 25894, 780, 4913, 267, 519, 946, 540, 1250, 20799, 2135, 1231, 538, 6752, 12651, 1271, 2055, 827, 3106, 543, 6940, 269, 2755, 891, 7135, 723, 1044, 16363, 2922, 585, 22521, 3498, 267, 1279, 3856, 4598, 3788, 513, 6161, 269, 3958, 267, 519, 2504, 1184, 3340, 6297, 5464, 547, 2327, 5812, 2164, 267, 4946, 606, 3063, 4494, 540, 6988, 547, 519, 5663, 1184, 269, 3245, 513, 6940, 29459, 267, 519, 946, 540, 1250, 20799, 2135, 1231, 1223, 5732, 2569, 519, 2825, 1764, 540, 10085, 4370, 3157, 267, 607, 1082, 6671, 2409, 7048, 593, 5739, 6464, 543, 3565, 3648, 547, 1216, 5533, 780, 11101, 267, 519, 946, 540, 1250, 20799, 2135, 1231, 538, 6752, 849, 8711, 6626, 2152, 4478, 519, 2078, 1063, 1148, 543, 2257, 269, 1635, 20747, 2590, 519, 3515, 1063, 891, 1079, 10459, 267, 9858, 616, 4101, 6671, 7326, 543, 11319, 6302, 538, 2081, 602, 941, 5892, 796, 19960, 514, 762, 269, 901, 1935, 711, 1152, 11942, 5647, 855, 849, 7512, 3444, 16162, 9918, 5698, 267, 6038, 23429, 1312, 4610, 780, 2026, 649, 1847, 4464, 267, 621, 568, 1898, 547, 3136, 3695, 519, 1761, 3156, 540, 1250, 20799, 2135, 1231, 538, 6752, 1247, 6967, 13533, 540, 519, 2404, 4220, 269, 3414, 11826, 1382, 543, 3743, 1646, 267, 649, 666, 12260, 3209, 2553, 602, 711, 1152, 7001, 938, 9345, 855, 849, 3895, 4264, 2853, 1369, 519, 2872, 269, 11086, 267, 519, 7365, 540, 1250, 20799, 2135, 1231, 543, 6752, 5713, 607, 513, 15266, 547, 519, 1379, 540, 5876, 543, 3621, 7279, 267, 11744, 602, 1256, 519, 1034, 6397, 12352, 666, 6556, 9058, 2164, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 698, 3472, 1116, 1250, 20799, 2135, 1231, 1603, 538, 4444, 957, 1558, 6956, 547, 3679, 7403, 593, 3049, 267, 2687, 519, 7678, 540, 16793, 543, 521, 2344, 269, 2986, 519, 3109, 4627, 1166, 2293, 1044, 849, 1152, 267, 827, 513, 7373, 32057, 616, 3254, 519, 1034, 645, 2562, 4338, 7214, 547, 741, 3119, 11150, 593, 1271, 838, 543, 741, 3134, 2135, 12682, 5341, 6139, 322, 25333, 538, 3919, 269, 6289, 665, 520, 3315, 7370, 616, 10838, 519, 1034, 16012, 3347, 543, 616, 5342, 676, 7222, 513, 1276, 263, 1306, 704, 326, 22346, 4232, 543, 6032, 269, 2427, 264, 799, 723, 538, 1277, 31752, 267, 10478, 11585, 267, 6513, 267, 543, 3615, 269, 22590, 602, 616, 2864, 7923, 676, 1306, 704, 326, 22346, 24094, 269, 634, 1866, 666, 6923, 2347, 9901, 538, 519, 16536, 540, 6641, 874, 23888, 602, 616, 2016, 513, 787, 331, 573, 2940, 667, 3754, 267, 538, 519, 9063, 540, 10196, 631, 272, 269, 7647, 2880, 3690, 332, 3827, 540, 26935, 1235, 666, 1374, 547, 11879, 4444, 11251, 1949, 543, 12616, 263, 4276, 264, 543, 666, 581, 6796, 4543, 267, 1318, 998, 19106, 547, 519, 11425, 269, 6757, 885, 798, 865, 15548, 10299, 547, 2196, 16434, 267, 1210, 789, 666, 2417, 1909, 543, 5082, 28672, 10856, 538, 2508, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 3203, 1315, 22960, 5071, 619, 262, 22032, 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, 6637, 476, 1015, 281, 4197, 1215, 11838, 2052, 8177, 7731, 17716, 692, 5331, 2348, 513, 2182, 942, 9361, 1869, 1282, 1362, 267, 7683, 30534, 707, 6780, 267, 610, 3478, 3362, 26531, 1247, 2542, 513, 1433, 269, 1280, 930, 1004, 267, 891, 2591, 616, 851, 540, 741, 4948, 1272, 1813, 547, 513, 2783, 1572, 23206, 4347, 7228, 15214, 13808, 13081, 267, 610, 11838, 269, 2755, 1034, 1004, 1589, 827, 875, 11838, 5540, 2576, 693, 1153, 610, 960, 267, 2221, 649, 3513, 4685, 883, 875, 621, 1522, 3310, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 333, 268, 272, 4153, 3847, 7268, 2765, 346, 273, 2410, 333, 23180, 2765, 346, 272, 2410, 333, 3799, 268, 272, 264, 4153, 2431, 264, 1341, 1422, 2765, 18950, 333, 268, 273, 25631, 2410, 272, 268, 273, 333, 348, 1422, 2765, 346, 8987, 272, 22722, 333, 268, 272, 348, 630, 333, 268, 273, 25631, 2410, 263, 273, 333, 268, 274, 25631, 348, 1422, 3847, 263, 272, 268, 273, 21702, 23533, 268, 272, 2410, 273, 333, 268, 273, 4153, 2431, 9385, 2431, 264, 8607, 815, 1422, 2765, 346, 272, 2410, 273, 333, 268, 272, 348, 630, 273, 333, 268, 273, 266, 272, 264, 815, 476, 272, 269, 9681, 1607, 25495, 621, 1373, 513, 5506, 3892, 780, 2171, 1631, 2285, 513, 6806, 1106, 585, 519, 20772, 269, 1284, 1265, 692, 11377, 8999, 3709, 332, 315, 613, 476, 272, 348, 544, 623, 314, 307, 284, 332, 316, 8607, 815, 1422, 8999, 3709, 330, 284, 272, 11892, 336, 2715, 333, 315, 577, 5366, 737, 348, 2715, 333, 10275, 315, 577, 5366, 7117, 10275, 348, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 10275, 348, 2715, 333, 10275, 315, 577, 5366, 533, 348, 11196, 272, 22722, 333, 10275, 1790, 348, 1422, 8999, 3709, 332, 315, 613, 476, 272, 348, 544, 2715, 333, 315, 577, 5366, 7117, 8703, 268, 332, 348, 2715, 335, 315, 577, 5366, 7117, 8703, 332, 268, 272, 348, 8607, 815, 1422, 8999, 3709, 330, 284, 272, 11892, 336, 2715, 333, 315, 577, 5366, 737, 348, 2715, 333, 10275, 315, 577, 5366, 7117, 10275, 348, 2715, 333, 315, 577, 5366, 7117, 8703, 268, 272, 348, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 10275, 348, 2715, 333, 10275, 315, 577, 5366, 533, 348, 11196, 272, 22722, 333, 10275, 1790, 348, 1422, 2765, 346, 272, 7346, 3847, 263, 272, 268, 346, 335, 315, 577, 5366, 7117, 348, 270, 346, 333, 315, 577, 5366, 7117, 4153, 2431, 8203, 273, 20467, 9681, 1607, 568, 692, 11377, 6277, 2135, 314, 276, 29210, 14720, 4650, 281, 273, 29210, 4396, 1948, 876, 288, 1822, 31765, 2715, 333, 315, 577, 5366, 7117, 348, 1422, 8999, 3709, 330, 284, 272, 11892, 336, 2715, 333, 315, 577, 5366, 737, 348, 2715, 333, 10275, 315, 577, 5366, 7117, 10275, 348, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 10275, 348, 2715, 333, 10275, 315, 577, 5366, 533, 348, 11196, 272, 22722, 333, 10275, 1790, 348, 1422, 3847, 20719, 333, 315, 577, 5366, 7117, 18511, 346, 335, 315, 577, 5366, 7117, 4153, 2431, 264, 13064, 273, 20467, 15732, 2171, 3489, 1269, 333, 295, 5332, 259, 950, 649, 6218, 713, 585, 1269, 336, 284, 272, 259, 799, 568, 513, 1434, 2638, 855, 711, 4010, 9670, 2094, 649, 723, 2907, 2938, 713, 960, 693, 519, 824, 3095, 630, 1492, 5467, 568, 14376, 547, 3801, 713, 19106, 1210, 519, 1657, 4542, 607, 513, 4358, 1448, 267, 799, 568, 4443, 982, 1018, 5205, 1040, 1284, 1631, 2119, 585, 513, 6806, 1106, 585, 1269, 336, 284, 273, 259, 543, 1205, 692, 2330, 273, 333, 317, 273, 3799, 268, 272, 8203, 273, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 272, 348, 2715, 333, 268, 272, 315, 577, 5366, 533, 348, 11196, 272, 22722, 333, 268, 272, 1790, 348, 1422, 2765, 346, 272, 2410, 263, 333, 3799, 268, 272, 9984, 335, 9638, 268, 272, 4297, 317, 273, 348, 8607, 1341, 562, 317, 273, 3799, 268, 272, 8203, 273, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 2715, 333, 268, 273, 315, 577, 5366, 533, 348, 11196, 272, 22722, 333, 268, 273, 1790, 348, 1422, 2765, 346, 272, 2410, 263, 333, 3799, 268, 272, 9984, 335, 9638, 268, 272, 4297, 317, 273, 20467, 9681, 2171, 946, 22016, 607, 1354, 609, 519, 1599, 692, 2330, 326, 18750, 264, 815, 1422, 2765, 18950, 333, 268, 272, 25631, 2410, 263, 333, 3799, 268, 272, 9984, 345, 18750, 268, 272, 4297, 317, 273, 348, 1422, 2889, 323, 3709, 335, 284, 271, 8703, 333, 268, 272, 348, 1422, 2765, 346, 272, 2410, 345, 1790, 348, 815, 1422, 2765, 18950, 333, 268, 272, 25631, 2410, 263, 345, 5991, 8203, 273, 18750, 24179, 272, 5991, 4297, 317, 273, 348, 1422, 2889, 323, 3709, 335, 284, 271, 8703, 333, 268, 272, 348, 1422, 2765, 346, 272, 2410, 345, 1790, 20467, 9681, 9616, 602, 692, 11377, 3847, 7268, 2889, 323, 3709, 335, 284, 271, 8703, 333, 268, 272, 4153, 2765, 346, 272, 2410, 345, 1790, 4153, 2431, 264, 262, 815, 28363, 2889, 323, 3709, 335, 284, 271, 8703, 333, 268, 272, 4153, 2765, 346, 272, 2410, 345, 1790, 348, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 272, 348, 1422, 2765, 346, 272, 2410, 345, 1790, 15732, 2171, 1205, 585, 519, 21225, 693, 1269, 333, 6911, 2330, 263, 333, 268, 272, 25631, 1422, 3847, 8987, 315, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 1422, 2765, 346, 272, 2410, 333, 256, 348, 670, 5332, 28363, 2765, 346, 273, 2410, 263, 273, 333, 268, 272, 8203, 274, 348, 1422, 2765, 346, 272, 2410, 333, 256, 4153, 2431, 264, 9681, 763, 21225, 693, 1269, 272, 5991, 259, 11729, 692, 2330, 263, 333, 268, 272, 25631, 1422, 3847, 7268, 2765, 346, 272, 2410, 263, 272, 268, 273, 333, 8203, 273, 348, 1422, 2765, 346, 8987, 272, 8203, 333, 3799, 268, 273, 25631, 2410, 263, 273, 333, 268, 273, 25631, 348, 630, 295, 3709, 273, 333, 268, 273, 348, 910, 670, 3709, 333, 268, 273, 16585, 8607, 910, 1422, 2765, 346, 273, 2410, 263, 272, 268, 273, 333, 8203, 274, 348, 1422, 2765, 346, 8987, 272, 8203, 333, 3799, 268, 273, 25631, 2410, 263, 273, 333, 268, 273, 25631, 348, 1422, 2431, 264, 9681, 2690, 519, 2034, 2040, 649, 1205, 585, 519, 21225, 693, 1269, 333, 6911, 2330, 263, 333, 268, 273, 25631, 1422, 3847, 8987, 315, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 1422, 2765, 346, 272, 2410, 333, 256, 348, 630, 295, 5332, 268, 272, 264, 28363, 2765, 346, 273, 2410, 263, 273, 333, 268, 272, 8203, 274, 348, 1422, 2765, 346, 272, 2410, 333, 256, 4153, 2431, 264, 9681, 663, 585, 519, 835, 693, 1269, 272, 5991, 6911, 2330, 263, 333, 268, 273, 25631, 1422, 3847, 7268, 2765, 346, 272, 2410, 263, 272, 268, 273, 333, 8203, 273, 348, 1422, 2765, 346, 8987, 272, 22722, 333, 268, 272, 12917, 333, 268, 273, 25631, 2410, 263, 273, 333, 268, 274, 25631, 348, 630, 295, 3709, 273, 333, 268, 274, 348, 910, 670, 3709, 333, 268, 273, 16585, 8607, 910, 1422, 2765, 346, 273, 2410, 263, 272, 268, 273, 333, 8203, 274, 348, 1422, 2765, 346, 8987, 272, 22722, 333, 268, 272, 12917, 333, 268, 273, 25631, 2410, 263, 273, 333, 268, 274, 25631, 348, 1422, 2431, 264, 9681, 8624, 22162, 3388, 649, 1265, 630, 10849, 2925, 602, 519, 2474, 593, 1269, 295, 3709, 273, 333, 268, 273, 4151, 543, 593, 1269, 295, 3709, 333, 268, 273, 4151, 543, 519, 3791, 2165, 689, 519, 22016, 693, 1269, 272, 5991, 259, 22599, 519, 1482, 1259, 607, 538, 519, 19106, 540, 519, 5506, 602, 649, 4718, 4505, 2020, 2330, 10559, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 670, 5332, 1422, 3847, 7268, 2765, 346, 273, 2410, 333, 348, 1341, 1422, 2765, 346, 272, 2410, 333, 3799, 268, 272, 264, 4153, 2431, 264, 1341, 1422, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 1422, 2765, 346, 272, 2410, 333, 3799, 268, 272, 14587, 8607, 268, 1422, 2765, 346, 273, 2410, 263, 273, 333, 268, 272, 8203, 274, 348, 1422, 3847, 7268, 2765, 346, 273, 2410, 333, 23180, 2765, 346, 272, 2410, 333, 3799, 268, 272, 264, 4153, 2431, 264, 8607, 1341, 630, 333, 268, 272, 25631, 1422, 2765, 346, 273, 2410, 263, 272, 268, 273, 333, 8203, 273, 348, 1422, 2765, 346, 8987, 272, 8203, 333, 3799, 268, 273, 25631, 2410, 263, 273, 333, 268, 273, 25631, 348, 1422, 2765, 346, 272, 2410, 273, 333, 268, 273, 15732, 1607, 568, 692, 2330, 10559, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 264, 333, 3799, 268, 272, 14587, 670, 5332, 910, 1422, 2765, 346, 272, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 1422, 2765, 346, 272, 2410, 333, 3799, 268, 272, 14587, 8607, 1341, 630, 333, 268, 273, 25631, 1422, 2765, 346, 272, 2410, 263, 272, 268, 273, 333, 8203, 273, 348, 1422, 2765, 346, 8987, 272, 8203, 333, 3799, 268, 273, 25631, 2410, 263, 273, 333, 268, 273, 25631, 15732, 14503, 760, 519, 1129, 543, 9062, 676, 1269, 333, 317, 273, 3799, 268, 272, 8203, 273, 259, 547, 3489, 519, 4542, 692, 11377, 2765, 23533, 3799, 268, 272, 20972, 273, 333, 268, 272, 348, 670, 5332, 1341, 1422, 2765, 23533, 3799, 268, 272, 20972, 263, 273, 333, 268, 272, 8203, 273, 348, 1341, 11196, 272, 22722, 333, 268, 272, 348, 1422, 2765, 23533, 317, 273, 3799, 268, 272, 8203, 273, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 1422, 2765, 18950, 333, 268, 273, 25631, 315, 9392, 3799, 268, 273, 25631, 2410, 263, 273, 333, 268, 273, 25631, 15732, 2171, 9959, 609, 519, 6806, 1106, 630, 534, 3169, 1267, 264, 585, 519, 2013, 540, 21168, 5627, 1079, 19420, 976, 799, 568, 692, 11377, 6277, 2135, 314, 276, 29210, 14720, 4650, 281, 273, 29210, 4396, 1948, 876, 288, 1822, 31765, 1422, 2765, 23533, 3799, 268, 272, 20972, 273, 333, 268, 272, 348, 670, 5332, 1341, 1422, 2765, 23533, 3799, 268, 272, 20972, 263, 273, 333, 268, 272, 8203, 273, 348, 1341, 11196, 272, 22722, 333, 268, 272, 348, 1422, 2765, 23533, 317, 273, 2410, 263, 273, 333, 268, 272, 8203, 273, 348, 2715, 273, 333, 268, 273, 315, 577, 5366, 562, 268, 272, 8703, 268, 272, 20467, 15732, 1607, 10694, 4542, 15069, 4665, 919, 2417, 1382, 267, 7654, 883, 519, 2013, 1269, 336, 284, 274, 267, 259, 799, 5654, 2352, 267, 5310, 8506, 513, 2780, 7223, 1062, 1282, 519, 5187, 5874, 269, 27297, 602, 519, 8789, 29297, 5328, 568, 1269, 272, 270, 273, 24585, 562, 670, 5332, 259, 799, 1797, 1269, 336, 284, 273, 259, 568, 827, 7466, 607, 3728, 607, 513, 2582, 19420, 517, 865, 519, 1198, 540, 972, 1373, 1100, 21168, 609, 26134, 19420, 976, 568, 30050, 780, 2080, 568, 930, 32712, 3009, 547, 948, 609, 2417, 1382, 883, 891, 7194, 269, 3502, 20979, 547, 519, 3970, 552, 3052, 269, 519, 5036, 1223, 581, 8719, 609, 19474, 7515, 267, 855, 18481, 6198, 547, 13182, 782, 540, 519, 1657, 780, 5976, 263, 1260, 16535, 520, 32007, 2894, 9331, 2433, 23751, 2889, 322, 9852, 267, 562, 267, 7117, 994, 29985, 967, 267, 1305, 551, 267, 546, 267, 1239, 267, 2938, 267, 1064, 267, 759, 16963, 3553, 551, 28701, 23481, 3799, 267, 7117, 11850, 11907, 28701, 3442, 20719, 572, 336, 9638, 267, 533, 284, 272, 907, 333, 264, 9574, 7117, 11850, 637, 28701, 476, 271, 16963, 1721, 967, 689, 1305, 551, 317, 332, 547, 476, 273, 265, 3553, 551, 317, 332, 268, 272, 798, 454, 323, 28701, 6460, 263, 785, 267, 3490, 267, 1305, 551, 32007, 16308, 2433, 23751, 684, 542, 263, 572, 336, 16597, 314, 323, 314, 1842, 27994, 272, 3910, 1064, 284, 272, 907, 332, 4297, 16963, 604, 562, 3591, 263, 16308, 264, 815, 562, 1287, 454, 637, 28701, 759, 1341, 476, 272, 3248, 25206, 3248, 617, 16963, 637, 3248, 754, 16963, 307, 28701, 630, 332, 267, 562, 267, 7117, 264, 9847, 692, 15014, 2433, 23751, 2889, 322, 9852, 267, 562, 267, 7117, 994, 29985, 967, 267, 1305, 551, 267, 546, 267, 1239, 267, 2938, 267, 1064, 267, 759, 16963, 3553, 551, 28701, 23481, 3799, 267, 7117, 11850, 11907, 28701, 3442, 20719, 572, 336, 9638, 267, 533, 284, 272, 907, 333, 264, 9574, 7117, 11850, 637, 28701, 476, 271, 16963, 1721, 967, 689, 1305, 551, 317, 332, 547, 476, 273, 265, 3553, 551, 317, 332, 268, 272, 798, 454, 323, 28701, 6460, 263, 785, 267, 3490, 267, 1305, 551, 32007, 16308, 2433, 23751, 684, 542, 263, 572, 336, 16597, 314, 323, 314, 1842, 27994, 272, 3910, 1064, 284, 272, 907, 332, 268, 272, 4297, 16963, 604, 562, 3591, 263, 16308, 264, 2999, 562, 543, 454, 333, 3591, 263, 16308, 9769, 1239, 314, 323, 314, 332, 27994, 272, 8079, 815, 562, 454, 6533, 454, 637, 28701, 759, 1341, 476, 272, 3248, 25206, 3248, 617, 16963, 637, 3248, 754, 16963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1366, 19203, 265, 421, 505, 484, 12571, 486, 265, 1366, 955, 5897, 258, 567, 476, 10254, 505, 417, 375, 374, 421, 505, 484, 12571, 486, 1477, 288, 28121, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 348, 1477, 289, 284, 3553, 2891, 323, 257, 10142, 2745, 263, 6943, 10490, 17903, 2745, 263, 6943, 16360, 264, 10142, 290, 28121, 257, 320, 2580, 834, 321, 2580, 834, 322, 257, 348, 1477, 258, 567, 476, 17958, 30244, 26175, 491, 25051, 351, 19764, 493, 7511, 421, 505, 484, 12571, 486, 28793, 8147, 417, 28187, 31563, 28884, 19540, 503, 29873, 3553, 3890, 7511, 30244, 26175, 491, 25051, 351, 19764, 493, 8147, 421, 506, 478, 28884, 16088, 1477, 291, 284, 3553, 2891, 29582, 8442, 258, 30244, 21550, 371, 19540, 503, 5897, 5897, 258, 567, 22614, 358, 374, 421, 505, 484, 1477, 258, 567, 476, 9463, 359, 420, 25693, 17958, 3553, 31476, 292, 284, 3553, 14052, 2745, 263, 6943, 27887, 264, 10142, 0, 258, 476, 9463, 502, 19404, 493, 12571, 491, 815, 13127, 478, 376, 24653, 258, 17276, 363, 493, 22047, 29219, 16533, 365, 15159, 12255, 29004, 362, 8147, 18263, 509, 16533, 365, 15159, 13644, 368, 30006, 493, 22047, 29219, 28098, 18021, 498, 7511, 16533, 365, 15159, 22047, 12255, 29004, 362, 32352, 417, 508, 489, 5897, 258, 476, 12255, 29004, 362, 26166, 20992, 12255, 29004, 362, 32352, 417, 508, 489, 5897, 258, 476, 12255, 29004, 362, 32352, 417, 508, 489, 26166, 20992, 16088, 1477, 258, 25639, 476, 272, 269, 21211, 31033, 4970, 366, 30415, 264, 11434, 589, 6889, 417, 499, 355, 417, 499, 355, 257, 1315, 834, 327, 327, 327, 327, 29177, 258, 25639, 476, 273, 269, 10533, 368, 417, 508, 489, 17301, 264, 2018, 589, 284, 273, 1315, 476, 1015, 1477, 258, 25639, 476, 274, 269, 418, 369, 362, 30536, 12255, 263, 15615, 264, 1038, 589, 284, 272, 269, 272, 1315, 476, 271, 269, 273, 1477, 258, 25639, 476, 275, 269, 28578, 23989, 17338, 264, 19930, 589, 17342, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 15947, 258, 25639, 476, 276, 269, 30317, 14756, 482, 6025, 340, 921, 264, 16875, 589, 14352, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 3418, 258, 25639, 476, 277, 269, 421, 505, 484, 12571, 486, 263, 3553, 264, 2018, 589, 28121, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 348, 1477, 258, 25639, 476, 278, 269, 21211, 10429, 372, 5560, 1112, 264, 19930, 589, 28121, 257, 11243, 9899, 257, 307, 3415, 2580, 834, 21848, 9899, 476, 1321, 267, 834, 29638, 9899, 257, 332, 1446, 257, 348, 1477, 258, 25639, 476, 279, 269, 27747, 481, 16533, 498, 6357, 944, 264, 19930, 589, 284, 6936, 610, 8771, 1477, 3698, 7401, 5416, 267, 536, 8029, 825, 1820, 5416, 17070, 3418, 825, 2132, 513, 2608, 536, 5897, 2745, 263, 6943, 263, 974, 320, 263, 274, 267, 476, 275, 4297, 10142, 3698, 7401, 5416, 267, 536, 8029, 825, 1820, 5416, 17070, 3418, 825, 1948, 2132, 513, 2608, 536, 5897, 2745, 263, 6943, 263, 974, 320, 263, 274, 267, 476, 275, 4297, 10142, 3698, 2824, 6958, 15635, 28399, 672, 1820, 3488, 955, 268, 13644, 371, 20881, 487, 418, 489, 358, 20693, 509, 420, 25693, 955, 268, 20298, 672, 1820, 3488, 418, 509, 354, 13644, 351, 12916, 503, 30903, 507, 20298, 672, 1820, 3488, 11858, 502, 418, 361, 378, 20298, 672, 1820, 3488, 9463, 500, 418, 361, 378, 262, 10142, 672, 2132, 1820, 3488, 955, 268, 13644, 371, 20881, 487, 418, 489, 358, 20693, 509, 420, 25693, 955, 268, 20298, 2745, 263, 6943, 263, 572, 937, 6958, 15635, 3890, 17903, 24653, 0, 258, 2411, 955, 265, 10254, 353, 13161, 511, 265, 1366, 955, 268, 5897, 258, 567, 476, 21211, 31033, 4970, 366, 31365, 28578, 269, 11034, 1873, 603, 263, 31878, 4970, 366, 8147, 13127, 376, 478, 417, 356, 489, 12916, 491, 419, 377, 362, 31284, 21550, 485, 8147, 476, 14756, 497, 23521, 509, 12916, 491, 419, 377, 362, 31284, 21550, 485, 3418, 258, 567, 476, 21211, 31033, 4970, 366, 31365, 28578, 10254, 353, 13161, 511, 21211, 31033, 4970, 366, 19764, 478, 14035, 368, 5897, 290, 6889, 1607, 568, 707, 2780, 543, 707, 3349, 29177, 2745, 18154, 269, 11034, 1873, 603, 2891, 1607, 8442, 3418, 5897, 258, 567, 476, 21211, 31033, 4970, 366, 31365, 28578, 269, 1742, 5976, 263, 31878, 4970, 366, 8147, 13127, 376, 478, 417, 356, 489, 12916, 491, 419, 377, 362, 31284, 21550, 485, 8147, 476, 14756, 497, 23521, 509, 12916, 491, 419, 377, 362, 31284, 21550, 485, 3418, 258, 567, 476, 21211, 31033, 4970, 366, 31365, 28578, 10254, 353, 13161, 511, 21211, 31033, 4970, 366, 14756, 497, 16533, 378, 1477, 2745, 18154, 269, 1742, 5976, 2891, 324, 8442, 10142, 0, 3698, 23396, 5416, 14720, 2187, 453, 320, 815, 513, 1341, 536, 454, 453, 321, 815, 513, 910, 536, 454, 453, 320, 815, 513, 910, 536, 454, 13537, 5416, 994, 13537, 6357, 2020, 2745, 2891, 763, 1130, 639, 540, 1079, 2338, 1354, 2220, 6260, 281, 19515, 333, 272, 815, 703, 9272, 2891, 11767, 519, 1101, 1297, 281, 27328, 333, 273, 815, 703, 9272, 2891, 11767, 519, 1101, 1297, 281, 27328, 2745, 2891, 763, 1130, 639, 540, 1079, 2338, 1310, 2220, 6260, 281, 19515, 1873, 777, 3799, 272, 19885, 273, 994, 0, 327, 2293, 318, 1740, 539, 284, 6110, 1822, 271, 454, 3433, 30648, 20189, 712, 284, 6110, 1822, 454, 15893, 15058, 318, 933, 4060, 284, 6110, 271, 692, 2745, 3488, 763, 10865, 2628, 540, 519, 9441, 568, 4939, 323, 9538, 4939, 630, 327, 2293, 318, 1740, 539, 2608, 2557, 30648, 20189, 712, 265, 15893, 15058, 318, 933, 4060, 4917, 3097, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 2979, 692, 3698, 1205, 291, 690, 21848, 263, 720, 267, 2915, 318, 720, 267, 1480, 318, 720, 267, 1900, 284, 272, 270, 1321, 2187, 825, 1775, 815, 476, 271, 454, 825, 1247, 703, 9217, 264, 2999, 2085, 912, 1038, 1775, 6834, 1900, 454, 1038, 2915, 318, 720, 6910, 263, 1037, 9217, 267, 476, 273, 4917, 1038, 1480, 318, 720, 6910, 263, 1037, 263, 1626, 265, 4118, 28802, 9217, 11924, 4029, 267, 476, 273, 264, 9239, 3698, 1397, 20877, 3287, 10574, 267, 586, 10574, 267, 1535, 299, 8475, 311, 267, 586, 299, 8475, 2187, 825, 12301, 19502, 3287, 10574, 267, 586, 10574, 994, 825, 12301, 11859, 16932, 3488, 291, 690, 2085, 5073, 825, 12301, 269, 29786, 3488, 14549, 2085, 5073, 825, 12301, 4732, 340, 696, 1856, 3488, 1692, 2025, 568, 1250, 2915, 538, 1480, 1296, 286, 5073, 825, 12301, 20481, 10797, 3698, 1820, 291, 690, 21848, 8368, 263, 720, 267, 1535, 299, 8475, 311, 267, 586, 299, 8475, 2187, 825, 2915, 318, 720, 815, 11713, 825, 1480, 318, 720, 815, 11713, 825, 1205, 291, 690, 21848, 263, 720, 267, 2915, 318, 720, 267, 1480, 318, 720, 267, 476, 272, 2020, 825, 1820, 2891, 346, 23901, 1015, 348, 2668, 8971, 3287, 299, 8475, 311, 1070, 834, 346, 23901, 1015, 348, 2668, 8971, 12169, 299, 8475, 11723, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 5560, 690, 318, 720, 2187, 1038, 1820, 2891, 346, 23901, 1015, 348, 2668, 8971, 5560, 690, 318, 720, 5157, 25818, 834, 346, 23901, 1015, 348, 2668, 8971, 17301, 263, 16058, 318, 720, 5157, 316, 21875, 1038, 1775, 23785, 272, 692, 3698, 1292, 10031, 825, 2915, 318, 720, 815, 11713, 825, 1480, 318, 720, 815, 11713, 825, 1205, 291, 690, 21848, 263, 1789, 267, 2915, 318, 720, 267, 1480, 318, 720, 994, 825, 1820, 291, 690, 21848, 8368, 263, 1789, 267, 1412, 291, 690, 2085, 3299, 1412, 14549, 2085, 5073, 825, 1397, 20877, 5560, 690, 318, 720, 267, 1480, 318, 720, 267, 1412, 291, 690, 2085, 3299, 1412, 14549, 2085, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5228, 14854, 1104, 27661, 5814, 14854, 454, 5814, 4351, 454, 5228, 4351, 1104, 28219, 9792, 454, 5228, 1863, 31521, 1104, 4009, 267, 6152, 692, 3712, 2293, 321, 815, 22373, 333, 8283, 2580, 834, 20580, 921, 2580, 834, 19990, 2580, 834, 323, 1046, 13582, 2580, 834, 577, 8981, 31116, 3712, 2293, 325, 815, 22373, 326, 1245, 2580, 834, 528, 1052, 2580, 834, 20391, 19990, 2580, 834, 344, 3641, 2580, 834, 2775, 13582, 31116, 337, 321, 284, 12690, 26716, 4069, 263, 3712, 2293, 321, 994, 337, 325, 284, 12690, 26716, 4069, 263, 3712, 2293, 325, 2020, 25988, 815, 6152, 263, 271, 267, 476, 271, 994, 338, 333, 820, 815, 1496, 19066, 263, 1015, 267, 476, 271, 22708, 2727, 815, 6152, 263, 271, 267, 910, 1015, 994, 339, 31103, 2529, 10547, 14061, 321, 326, 10233, 2891, 549, 1910, 6960, 5602, 3698, 1689, 3287, 267, 586, 2187, 825, 834, 27087, 13131, 4287, 4799, 825, 2832, 11859, 815, 1535, 454, 825, 2832, 13885, 815, 586, 692, 3698, 3330, 263, 3650, 2187, 825, 834, 27987, 6936, 952, 2212, 3330, 6302, 4799, 825, 2132, 910, 1220, 2999, 2212, 11859, 2999, 476, 5002, 543, 910, 1220, 2999, 2212, 13885, 2999, 476, 5002, 692, 3698, 3330, 293, 10031, 825, 834, 27987, 6936, 952, 2212, 3330, 6302, 4799, 825, 2132, 910, 1220, 2999, 1426, 11859, 2999, 476, 5002, 543, 910, 1220, 2999, 1426, 13885, 2999, 476, 5002, 692, 3698, 1847, 15933, 10031, 825, 10443, 311, 815, 28219, 9792, 8987, 1015, 267, 476, 1556, 267, 476, 1015, 994, 825, 10443, 312, 815, 28219, 9792, 8987, 1015, 267, 476, 1556, 267, 476, 1015, 994, 825, 952, 10443, 311, 2652, 910, 1015, 912, 1038, 952, 1426, 11859, 3436, 910, 5002, 912, 2018, 1426, 11859, 6834, 10443, 311, 454, 825, 952, 10443, 311, 2652, 476, 1015, 912, 1038, 952, 1426, 11859, 2999, 476, 5002, 912, 2018, 1426, 11859, 6834, 10443, 311, 454, 825, 952, 10443, 312, 2652, 910, 1015, 912, 1038, 952, 1426, 13885, 3436, 910, 5002, 912, 2018, 1426, 13885, 6834, 10443, 312, 454, 825, 952, 10443, 312, 2652, 476, 1015, 912, 1038, 952, 1426, 13885, 2999, 476, 5002, 912, 2018, 1426, 13885, 6834, 10443, 312, 22562, 825, 23835, 25534, 9852, 913, 15933, 267, 476, 14596, 2020, 825, 952, 711, 3330, 293, 10031, 1038, 4009, 6600, 797, 11859, 267, 1426, 13885, 267, 476, 280, 267, 1412, 1042, 5073, 1038, 9337, 10797, 3698, 1847, 10031, 825, 834, 31161, 13131, 4464, 835, 10126, 4799, 825, 2212, 815, 13131, 15631, 272, 4940, 32476, 4590, 825, 2212, 6230, 913, 263, 2727, 2020, 825, 952, 711, 3330, 263, 3650, 264, 610, 2212, 538, 13131, 912, 1038, 4009, 263, 3650, 11859, 267, 2212, 13885, 267, 476, 280, 267, 1412, 1042, 5073, 1038, 9337, 4590, 1038, 2132, 692, 825, 13131, 6910, 263, 3650, 2020, 825, 952, 2212, 2652, 1426, 912, 1038, 1820, 3488, 27409, 820, 281, 3299, 7003, 4433, 333, 820, 4917, 1038, 1426, 11859, 815, 28219, 9792, 8987, 1428, 267, 476, 1428, 264, 2608, 476, 1015, 454, 1038, 1426, 13885, 815, 28219, 9792, 8987, 1428, 267, 476, 1428, 264, 2608, 476, 1015, 454, 825, 3116, 912, 1038, 13131, 21014, 263, 271, 2020, 825, 2312, 30800, 825, 585, 1560, 538, 13131, 912, 1038, 4009, 6357, 1328, 11859, 267, 1560, 13885, 267, 476, 280, 267, 678, 321, 2020, 825, 4009, 6600, 797, 11859, 267, 1426, 13885, 267, 476, 280, 267, 678, 325, 994, 825, 9337, 4590, 825, 23835, 25534, 9852, 913, 267, 476, 1911, 2020, 3553, 1575, 263, 22213, 267, 476, 22213, 267, 476, 24907, 267, 476, 271, 994, 327, 573, 564, 31103, 4590, 10177, 1356, 263, 16178, 994, 4289, 523, 4590, 517, 4486, 10857, 10033, 281, 1689, 263, 1015, 267, 476, 271, 1070, 1412, 14738, 5073, 517, 4486, 10857, 10033, 281, 1689, 8987, 1015, 267, 476, 271, 1070, 1412, 29381, 5073, 517, 4486, 10857, 10033, 281, 1689, 263, 271, 267, 476, 1015, 1070, 1412, 10000, 5073, 517, 4486, 10857, 10033, 281, 1689, 263, 271, 267, 910, 1015, 1070, 1412, 291, 1144, 5073, 332, 913, 4590, 332, 913, 15933, 4590, 323, 821, 4590, 0, 5814, 14854, 692, 3698, 2721, 10031, 825, 6885, 815, 14854, 2529, 10547, 4590, 825, 6885, 12500, 326, 10233, 2891, 339, 584, 638, 18857, 15419, 825, 536, 2784, 815, 14854, 11053, 31103, 4590, 825, 536, 2784, 269, 10233, 2891, 19009, 5602, 825, 536, 2784, 17482, 2891, 339, 31103, 5602, 825, 536, 2784, 4732, 32497, 263, 271, 269, 276, 2020, 825, 585, 1775, 538, 2039, 263, 271, 267, 7761, 2187, 1038, 2721, 5334, 13645, 6357, 2784, 994, 1038, 536, 2784, 16192, 263, 276, 2020, 825, 6885, 20216, 527, 517, 28781, 4590, 672, 692, 3698, 2721, 5334, 13645, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3079, 540, 13461, 593, 524, 13246, 727, 30550, 23194, 563, 273, 269, 21474, 10025, 281, 14559, 2636, 721, 547, 5635, 5777, 3362, 267, 4543, 6800, 3313, 26622, 1354, 1818, 16306, 563, 274, 269, 853, 2803, 10025, 281, 9521, 829, 880, 1963, 267, 2724, 25601, 922, 4502, 936, 942, 865, 602, 2043, 666, 4688, 543, 6108, 2663, 563, 275, 269, 8871, 4925, 9483, 12618, 281, 1879, 1004, 723, 6015, 538, 741, 9304, 267, 4213, 21707, 267, 6009, 2333, 267, 543, 2949, 2804, 2208, 1671, 1132, 780, 23338, 24434, 1299, 3204, 6819, 14559, 1384, 1103, 1034, 2477, 267, 3844, 8492, 1852, 519, 2504, 543, 3892, 540, 2724, 269, 1452, 5238, 2327, 6617, 1369, 519, 2883, 5117, 998, 2645, 899, 4259, 1719, 3928, 267, 9013, 10637, 267, 27459, 2358, 5010, 8492, 267, 543, 5883, 4914, 5385, 14425, 269, 2290, 4583, 1383, 568, 519, 8549, 15944, 3590, 630, 21865, 5219, 547, 607, 834, 1492, 12658, 8442, 538, 519, 2136, 2276, 780, 4913, 267, 3006, 20887, 8451, 1472, 891, 3532, 9988, 269, 2368, 1004, 3494, 602, 519, 8549, 15944, 13333, 10446, 540, 1022, 2229, 23388, 282, 2705, 267, 6837, 2813, 621, 543, 814, 519, 1379, 547, 12189, 922, 2497, 543, 3483, 269, 16700, 16187, 902, 899, 891, 5031, 519, 2956, 540, 2565, 3206, 543, 1382, 950, 1565, 827, 1950, 3584, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 2724, 543, 922, 1909, 538, 2486, 1577, 781, 2263, 875, 621, 5222, 2518, 6990, 267, 3486, 1894, 267, 543, 1256, 2825, 6940, 269, 1635, 6313, 1483, 8996, 3156, 267, 649, 4126, 547, 8300, 7279, 543, 6536, 15131, 585, 3695, 519, 1158, 540, 9297, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 7579, 573, 19660, 589, 932, 2526, 878, 23620, 634, 4033, 20429, 769, 7216, 7073, 2342, 476, 1220, 277, 454, 290, 582, 322, 2086, 3096, 519, 4647, 32550, 573, 19660, 513, 669, 2526, 878, 15832, 519, 824, 5639, 538, 585, 5841, 589, 2793, 14877, 4306, 269, 1284, 849, 1705, 875, 1352, 568, 12854, 543, 5386, 1239, 547, 917, 519, 2985, 6619, 22731, 1510, 17265, 9237, 269, 26960, 568, 12015, 593, 513, 1433, 540, 10950, 3688, 267, 543, 1352, 568, 602, 547, 1200, 942, 1934, 269, 1932, 540, 1210, 2352, 2418, 267, 26960, 568, 1759, 13411, 267, 4108, 25852, 609, 30443, 573, 569, 771, 29058, 8292, 543, 909, 1185, 1055, 547, 519, 3896, 12836, 585, 4589, 945, 798, 547, 13182, 811, 563, 6097, 519, 5370, 267, 1603, 519, 4647, 32550, 573, 19660, 513, 669, 2526, 878, 15832, 519, 824, 5639, 538, 2038, 2413, 15681, 519, 5771, 2684, 12786, 543, 16620, 513, 2139, 5839, 19172, 21643, 2197, 2146, 269, 795, 2911, 568, 519, 476, 747, 799, 519, 1454, 4116, 568, 1463, 547, 4045, 1950, 2835, 269, 2353, 568, 2241, 2591, 6430, 19323, 595, 20975, 3069, 269, 634, 8549, 15944, 1281, 1100, 2291, 6837, 30127, 269, 2196, 519, 3268, 8840, 519, 2934, 538, 519, 13544, 1115, 563, 7312, 4647, 32550, 573, 19660, 513, 669, 2526, 878, 15832, 519, 824, 642, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 1310, 519, 24627, 1010, 15141, 1190, 5067, 8621, 543, 1010, 14930, 1927, 609, 824, 1920, 2818, 8977, 539, 543, 5555, 12306, 538, 519, 23617, 540, 1744, 14373, 1141, 789, 17251, 547, 1628, 513, 13486, 267, 513, 15224, 547, 741, 1378, 11348, 267, 8709, 640, 267, 20440, 543, 18326, 1996, 2696, 269, 630, 756, 573, 267, 533, 269, 11463, 994, 2005, 729, 25424, 779, 5067, 8621, 267, 2687, 547, 3504, 5783, 12429, 595, 2211, 267, 945, 2048, 26078, 5703, 685, 543, 2847, 1882, 519, 25491, 15215, 540, 2048, 4263, 331, 656, 529, 685, 543, 922, 7390, 656, 859, 2812, 912, 2108, 293, 718, 523, 23109, 6026, 2367, 519, 946, 540, 9589, 1651, 656, 725, 602, 1131, 3196, 1629, 976, 547, 23491, 812, 269, 2991, 519, 6360, 8621, 519, 5067, 540, 25424, 2507, 29171, 2642, 713, 543, 6026, 621, 547, 1010, 14930, 269, 901, 2968, 3824, 11712, 883, 519, 21072, 267, 6431, 2103, 267, 543, 20770, 2103, 269, 8621, 5747, 16172, 1310, 519, 2887, 540, 519, 18975, 540, 645, 8475, 269, 715, 574, 16967, 267, 1572, 715, 19434, 676, 519, 16380, 267, 729, 19942, 713, 1702, 543, 676, 621, 3361, 2367, 547, 979, 2476, 689, 519, 10847, 540, 2696, 543, 979, 883, 3309, 543, 20093, 1738, 22530, 1431, 543, 789, 3459, 547, 581, 18170, 676, 519, 4191, 538, 519, 6801, 543, 20517, 540, 519, 10785, 1848, 630, 28403, 1431, 540, 595, 2211, 476, 275, 269, 2918, 268, 3066, 994, 1103, 1010, 1134, 3146, 572, 2117, 1117, 1433, 267, 968, 26123, 5403, 6363, 331, 797, 3778, 2223, 8230, 9652, 267, 774, 6185, 1421, 5359, 602, 519, 14930, 540, 8621, 7479, 12184, 519, 1004, 547, 3398, 602, 519, 3020, 2696, 729, 8806, 606, 791, 5966, 3860, 3196, 1369, 782, 540, 2470, 267, 1818, 812, 519, 5207, 1106, 540, 1272, 17320, 617, 269, 3414, 519, 1379, 540, 30373, 267, 8621, 543, 1010, 14930, 2847, 1882, 9589, 12105, 2981, 1143, 267, 20562, 515, 1143, 543, 31561, 520, 787, 269, 630, 653, 269, 476, 5325, 268, 4366, 994, 30631, 1302, 8621, 729, 632, 1881, 543, 26902, 5792, 676, 2663, 533, 698, 753, 607, 519, 10971, 595, 1258, 639, 543, 18347, 912, 2108, 295, 600, 568, 6719, 676, 1082, 5830, 607, 513, 1360, 29063, 267, 1799, 617, 652, 267, 543, 1527, 5554, 622, 13442, 281, 7137, 657, 639, 630, 328, 264, 2306, 1864, 513, 4012, 6509, 267, 543, 547, 581, 519, 1482, 609, 2098, 19660, 770, 610, 2098, 19660, 770, 637, 267, 543, 14753, 540, 1864, 607, 519, 1857, 1351, 14442, 614, 540, 18495, 282, 543, 3081, 602, 646, 6026, 2367, 547, 2661, 607, 1354, 519, 6360, 267, 547, 9114, 609, 11299, 267, 19946, 267, 20766, 267, 9038, 543, 1490, 2373, 267, 543, 7068, 540, 782, 12204, 282, 543, 602, 646, 2965, 1705, 865, 5128, 267, 543, 4061, 729, 5641, 856, 676, 1010, 4651, 3967, 639, 267, 610, 25424, 267, 543, 3893, 519, 2012, 540, 968, 290, 1335, 5608, 519, 25337, 543, 1799, 617, 652, 2507, 892, 16270, 7487, 1010, 4651, 779, 21736, 1145, 8621, 267, 968, 339, 1245, 1010, 1079, 1786, 628, 1066, 1510, 282, 646, 4682, 856, 540, 519, 17895, 1310, 646, 1185, 20938, 5128, 609, 519, 8289, 2507, 543, 538, 513, 1616, 517, 267, 561, 644, 545, 9317, 267, 543, 1085, 4752, 532, 6073, 267, 1644, 1018, 646, 1185, 2938, 281, 930, 540, 519, 6014, 681, 13741, 1231, 630, 330, 1070, 607, 808, 1105, 328, 12211, 267, 2161, 602, 2052, 22528, 1101, 4718, 621, 267, 543, 5143, 1010, 4651, 540, 621, 282, 543, 930, 2161, 630, 331, 1070, 602, 646, 610, 8621, 8149, 606, 796, 11499, 6760, 609, 1864, 282, 543, 1866, 630, 332, 1070, 602, 646, 5641, 3603, 1864, 282, 543, 8754, 267, 621, 568, 9277, 267, 3357, 519, 2984, 540, 18347, 5641, 7992, 1010, 4651, 21275, 267, 543, 20048, 639, 1010, 4651, 28800, 639, 1848, 19606, 476, 280, 281, 2420, 28711, 779, 1401, 6570, 454, 14532, 1705, 711, 2253, 1310, 17542, 540, 1296, 540, 4720, 950, 18642, 4630, 514, 1749, 2220, 2426, 1524, 689, 519, 4054, 543, 4362, 875, 547, 15072, 19020, 6698, 5196, 7725, 269, 7439, 1705, 621, 2253, 1310, 519, 24627, 269, 2311, 2547, 476, 273, 267, 1822, 1296, 540, 1480, 6228, 28263, 519, 24627, 267, 2495, 602, 950, 25424, 543, 1010, 1920, 9411, 519, 818, 330, 789, 5645, 693, 2547, 835, 4627, 1296, 540, 840, 22286, 797, 8823, 267, 5389, 267, 2029, 267, 543, 9120, 1702, 269, 4256, 1158, 2070, 729, 8032, 676, 519, 3140, 14088, 543, 18832, 543, 519, 5481, 540, 741, 15556, 269, 4935, 25424, 543, 1010, 1920, 4547, 609, 873, 711, 1152, 519, 1702, 540, 519, 2123, 2696, 267, 7981, 20520, 267, 2887, 540, 812, 267, 519, 5548, 4007, 267, 15093, 547, 2696, 585, 519, 4412, 527, 2747, 540, 5609, 267, 519, 6575, 540, 14049, 6194, 543, 13137, 267, 1702, 540, 5022, 267, 6698, 267, 2979, 267, 6189, 267, 2257, 267, 30143, 267, 543, 6683, 855, 1702, 540, 1101, 11804, 13341, 609, 20242, 7129, 267, 741, 1624, 738, 10752, 267, 519, 13605, 327, 559, 574, 267, 543, 6305, 1998, 20562, 515, 1143, 13615, 547, 9059, 267, 6891, 1143, 267, 16909, 705, 677, 604, 659, 1801, 267, 1480, 543, 3662, 15093, 267, 6704, 540, 1973, 267, 9038, 2261, 11538, 9038, 543, 1256, 581, 6814, 267, 543, 1082, 824, 859, 2812, 563, 1103, 14751, 566, 267, 519, 900, 5799, 11001, 540, 25196, 6276, 13391, 13704, 1767, 912, 2108, 2507, 16058, 1686, 666, 1631, 581, 11688, 527, 14688, 14360, 1394, 607, 606, 796, 15842, 5287, 2239, 547, 476, 6110, 271, 645, 5861, 16634, 1492, 4605, 6932, 2507, 529, 835, 540, 519, 12096, 540, 2494, 538, 8978, 2474, 607, 1134, 607, 1010, 4473, 282, 621, 568, 513, 4605, 2507, 3467, 540, 12159, 982, 540, 1967, 282, 621, 568, 513, 4605, 540, 1395, 6139, 1143, 8840, 1524, 883, 4874, 1492, 1143, 543, 540, 519, 6560, 547, 2132, 547, 1395, 6139, 1143, 269, 634, 10661, 2070, 540, 519, 1686, 540, 4984, 7930, 3356, 532, 689, 1918, 1143, 547, 4874, 1492, 1143, 630, 6533, 264, 547, 1395, 6139, 1143, 568, 519, 9258, 540, 5013, 1848, 12462, 763, 2696, 11860, 902, 543, 519, 25315, 753, 281, 634, 1715, 2622, 1306, 25728, 3599, 538, 9147, 8648, 476, 3192, 274, 267, 533, 269, 476, 30640, 994, 19177, 8536, 1296, 1354, 2441, 941, 519, 606, 1540, 559, 12320, 1014, 5481, 543, 519, 20242, 7129, 538, 519, 2022, 22286, 797, 1158, 267, 1818, 519, 17542, 540, 1296, 540, 12105, 2981, 1143, 513, 32263, 535, 762, 269, 898, 568, 9444, 2048, 2908, 685, 630, 31319, 27036, 770, 525, 476, 272, 281, 476, 280, 268, 1556, 264, 6862, 3621, 4849, 538, 519, 2631, 540, 840, 22286, 797, 543, 2022, 22286, 797, 1624, 738, 2257, 543, 7390, 656, 5389, 15428, 543, 2847, 2086, 539, 585, 938, 1378, 942, 267, 607, 2983, 1359, 21379, 1952, 1176, 4362, 563, 7804, 269, 13643, 11339, 602, 2983, 1359, 729, 14281, 950, 646, 1336, 856, 602, 519, 2048, 6124, 20154, 640, 685, 814, 968, 31904, 609, 840, 15065, 6139, 2065, 2507, 333, 1155, 10764, 2223, 3056, 13643, 547, 530, 787, 569, 6085, 602, 538, 606, 9642, 2490, 540, 2621, 2676, 2108, 16634, 4186, 3637, 5289, 685, 4720, 4422, 23651, 256, 19978, 519, 1143, 22841, 12105, 3356, 269, 634, 23234, 723, 547, 581, 2322, 1394, 630, 1721, 649, 616, 538, 519, 4527, 540, 264, 513, 3532, 25384, 27798, 333, 8251, 24396, 16786, 267, 19101, 547, 581, 838, 21403, 1007, 267, 6662, 543, 3621, 267, 855, 607, 2025, 607, 519, 15113, 3034, 5141, 4169, 723, 547, 581, 5828, 1394, 267, 782, 519, 1259, 1394, 547, 519, 2395, 540, 25424, 538, 519, 840, 22286, 797, 1158, 1141, 4720, 568, 5702, 4448, 547, 519, 26881, 779, 9114, 602, 812, 568, 513, 1373, 945, 1498, 27057, 3908, 538, 942, 543, 2230, 568, 18562, 5827, 540, 8236, 513, 1390, 20014, 540, 1373, 543, 4012, 1227, 9687, 883, 513, 1454, 811, 3532, 5601, 6438, 1373, 538, 519, 2104, 563, 2026, 519, 23963, 1439, 1046, 2989, 717, 333, 8251, 25384, 13336, 540, 938, 2085, 8195, 7707, 4721, 593, 519, 26749, 540, 2048, 1345, 685, 607, 621, 1582, 28878, 324, 3585, 9905, 1524, 922, 685, 1279, 267, 1448, 344, 9224, 543, 733, 3319, 28204, 2879, 14554, 543, 14229, 619, 693, 519, 20276, 656, 540, 23651, 267, 5667, 2615, 881, 267, 4550, 17272, 1828, 21705, 267, 538, 4641, 621, 568, 519, 7357, 1642, 24231, 25384, 13336, 602, 568, 593, 513, 16580, 1576, 609, 513, 2413, 4528, 540, 519, 840, 22286, 797, 1158, 31685, 1765, 268, 663, 649, 917, 875, 21354, 602, 8694, 563, 2252, 513, 26380, 581, 325, 749, 721, 543, 596, 7948, 1406, 4688, 3025, 267, 1131, 596, 609, 3835, 519, 1426, 596, 1185, 543, 1577, 1169, 12504, 5182, 557, 2864, 982, 22036, 519, 8635, 540, 1175, 9494, 930, 286, 1403, 2487, 1686, 568, 1022, 3391, 267, 1978, 2451, 1235, 1175, 1522, 2161, 9811, 563, 288, 1434, 1383, 540, 713, 7613, 3238, 513, 2789, 26379, 3461, 538, 20944, 1156, 7921, 267, 13785, 267, 945, 729, 17792, 513, 811, 2500, 543, 7199, 6646, 2443, 1256, 1498, 646, 729, 8348, 547, 2628, 585, 621, 2443, 1317, 267, 5206, 6241, 626, 19124, 13879, 538, 476, 1220, 280, 267, 968, 321, 9531, 13062, 1846, 1767, 621, 1131, 1305, 513, 3983, 30675, 543, 1291, 547, 21376, 1569, 547, 4915, 1848, 3143, 4898, 12736, 8725, 26235, 1767, 602, 25847, 779, 968, 514, 6254, 16495, 568, 519, 3160, 4687, 540, 3765, 2044, 3034, 4517, 1776, 1383, 1175, 556, 1563, 922, 30299, 2212, 538, 623, 569, 17625, 267, 12309, 267, 1141, 519, 1327, 1275, 779, 1164, 1153, 568, 751, 2130, 1524, 9241, 9112, 6926, 18291, 538, 1219, 2397, 547, 519, 7862, 7128, 269, 3733, 293, 2135, 19547, 20936, 2593, 5359, 593, 519, 3390, 267, 1603, 912, 288, 1007, 1305, 540, 27939, 568, 1373, 14324, 1524, 3544, 519, 623, 569, 17625, 8187, 322, 1846, 642, 1513, 640, 8695, 685, 13836, 2361, 267, 711, 1279, 1354, 519, 4005, 5956, 267, 1317, 519, 4610, 585, 8695, 685, 543, 6690, 685, 7619, 923, 1590, 581, 3160, 563, 288, 1895, 540, 3237, 6659, 2724, 585, 513, 6659, 27939, 16064, 676, 519, 2361, 267, 607, 621, 729, 2182, 547, 1294, 519, 3756, 998, 513, 5832, 2000, 1074, 20545, 269, 634, 3237, 1256, 1705, 519, 10380, 2933, 267, 543, 849, 6976, 585, 513, 1007, 6060, 4580, 563, 3383, 1018, 5949, 286, 2368, 796, 24887, 4731, 20880, 25778, 3022, 513, 24255, 609, 519, 535, 1968, 2229, 267, 693, 799, 1448, 772, 2529, 4065, 4972, 8433, 585, 6406, 7126, 6772, 3581, 3526, 539, 602, 519, 27939, 1590, 979, 269, 589, 514, 1406, 7862, 6264, 888, 2750, 1061, 602, 7862, 568, 3274, 513, 678, 2224, 269, 1656, 1589, 827, 621, 609, 2463, 547, 713, 3390, 281, 519, 6240, 568, 602, 6703, 968, 1721, 8695, 685, 543, 6690, 685, 7619, 923, 1590, 581, 3160, 2223, 855, 616, 8695, 685, 543, 6690, 685, 7619, 923, 3160, 286, 634, 11495, 27171, 538, 891, 5256, 11721, 24580, 5026, 7862, 27900, 568, 602, 7125, 585, 968, 3225, 1275, 892, 616, 1219, 518, 1042, 547, 1369, 519, 2796, 540, 519, 10343, 543, 13319, 540, 606, 20244, 21376, 1062, 269, 2334, 568, 547, 2161, 267, 952, 7862, 568, 519, 13057, 6240, 1934, 267, 1946, 723, 5094, 682, 8046, 267, 6887, 543, 19150, 2443, 6870, 689, 519, 1655, 6735, 2443, 585, 6690, 543, 2021, 888, 763, 3070, 267, 2436, 621, 779, 519, 623, 569, 17625, 3510, 610, 7125, 585, 3160, 16101, 2724, 538, 17281, 267, 568, 2241, 269, 1403, 513, 17426, 4216, 518, 6499, 519, 1625, 4513, 519, 5230, 30135, 1205, 267, 646, 2115, 547, 4339, 543, 8011, 538, 519, 5230, 7076, 1362, 282, 11338, 267, 952, 8706, 1235, 1616, 1018, 519, 8695, 270, 5443, 723, 267, 789, 1058, 2119, 547, 14526, 538, 741, 26750, 269, 1656, 594, 798, 12167, 713, 281, 9004, 5094, 6688, 585, 2021, 267, 543, 1577, 519, 28486, 14526, 1927, 593, 513, 1377, 4730, 2361, 269, 2991, 782, 267, 547, 16079, 1018, 12493, 1767, 827, 4031, 267, 519, 1655, 1259, 547, 9004, 3983, 1514, 3609, 568, 547, 17997, 621, 14553, 269, 1403, 596, 3494, 538, 7862, 267, 2259, 621, 563, 4517, 2661, 609, 621, 563, 4517, 2094, 519, 8695, 685, 1977, 1164, 17469, 13304, 2594, 568, 14320, 5488, 982, 519, 2021, 779, 1158, 2594, 2443, 543, 2094, 713, 7934, 5526, 267, 609, 930, 8390, 267, 2066, 5026, 2443, 1250, 11556, 1131, 1683, 930, 2556, 968, 335, 32123, 27792, 3034, 763, 2069, 8257, 779, 31885, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 5068, 547, 4266, 267, 6697, 547, 936, 476, 9610, 2929, 3044, 3368, 2000, 527, 516, 5068, 14569, 563, 3528, 26724, 3743, 543, 5683, 2853, 267, 649, 666, 10244, 519, 1379, 540, 5680, 476, 274, 269, 271, 4066, 585, 1514, 1434, 547, 1711, 513, 811, 4264, 2104, 269, 2755, 972, 616, 6157, 4145, 609, 519, 10073, 540, 5680, 476, 274, 269, 271, 267, 922, 2150, 11474, 1761, 1058, 711, 581, 15763, 269, 1306, 649, 3136, 547, 2263, 543, 1020, 5680, 476, 274, 269, 271, 3156, 267, 649, 1590, 1832, 938, 3838, 3853, 540, 2825, 543, 1514, 6940, 693, 519, 21282, 540, 938, 8186, 269, 0, 308, 2529, 269, 1072, 8387, 1586, 616, 9963, 7189, 1996, 10205, 532, 5312, 1928, 2550, 676, 23589, 569, 16069, 741, 23776, 1095, 18587, 563, 763, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 3079, 24016, 7189, 547, 2671, 971, 3664, 609, 2550, 269, 634, 8116, 3370, 3268, 585, 7189, 538, 513, 3670, 22240, 3391, 543, 606, 21107, 538, 519, 4750, 540, 519, 1977, 6481, 5948, 563, 1103, 519, 476, 1960, 271, 338, 267, 936, 26078, 21564, 3323, 519, 1101, 5951, 540, 519, 4182, 779, 30072, 6433, 269, 744, 7032, 6950, 1107, 5892, 1031, 6140, 585, 2550, 609, 2860, 267, 693, 519, 1439, 540, 741, 2729, 610, 609, 1928, 1310, 6391, 1107, 3459, 547, 581, 11311, 585, 1279, 3856, 1928, 971, 607, 1394, 2851, 269, 10684, 3549, 15469, 602, 946, 267, 1256, 607, 2963, 8057, 540, 8213, 543, 30072, 563, 30952, 267, 1202, 20445, 543, 10506, 31495, 2181, 1540, 1309, 1903, 827, 17414, 6950, 538, 2081, 602, 2800, 539, 930, 2550, 269, 2368, 5828, 547, 8265, 5061, 971, 607, 5869, 514, 610, 535, 550, 1415, 331, 1310, 7189, 11074, 1095, 21564, 563, 1103, 4989, 267, 519, 5253, 543, 10684, 10029, 3773, 1007, 6003, 5796, 547, 5061, 971, 607, 7621, 344, 16676, 267, 30647, 617, 514, 543, 19421, 540, 13598, 21447, 1310, 5359, 540, 11980, 543, 824, 3978, 2800, 538, 2550, 945, 941, 9308, 8200, 593, 17414, 6950, 10393, 2348, 519, 4915, 11074, 610, 741, 9570, 6385, 8519, 563, 1103, 519, 1007, 3391, 267, 1072, 8387, 1767, 3500, 267, 17319, 20214, 540, 23776, 13066, 666, 2087, 2298, 540, 1272, 1510, 29083, 1928, 269, 570, 1653, 532, 519, 5061, 7444, 666, 1491, 3275, 610, 1296, 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 ]
[ 0, 763, 4681, 2303, 602, 621, 1223, 581, 2009, 547, 1020, 25782, 6565, 1591, 10074, 602, 2061, 11871, 538, 3425, 267, 971, 607, 22420, 6089, 543, 3935, 2860, 543, 5761, 2860, 3361, 676, 7296, 610, 824, 2825, 2188, 563, 23178, 3627, 16202, 517, 5143, 513, 3377, 5618, 532, 693, 519, 661, 3036, 12839, 9539, 5746, 5025, 3722, 305, 476, 32600, 593, 17449, 28080, 1115, 543, 9435, 634, 31706, 538, 26285, 826, 2221, 630, 26607, 11888, 476, 279, 5437, 2567, 968, 2171, 1336, 602, 519, 25750, 941, 1063, 476, 3199, 268, 1911, 260, 2500, 538, 7303, 6084, 712, 2208, 538, 8983, 602, 941, 13604, 13934, 609, 1098, 680, 5896, 11066, 5761, 26217, 267, 543, 621, 729, 1063, 476, 2568, 268, 3445, 260, 2500, 538, 8983, 13604, 6534, 547, 15910, 11077, 602, 2014, 5761, 2860, 563, 2108, 5978, 2164, 6318, 519, 3078, 7872, 540, 3384, 513, 605, 29091, 12519, 6669, 5827, 540, 7303, 519, 5920, 540, 1585, 2010, 540, 11871, 538, 3425, 267, 2523, 1346, 609, 22420, 267, 26567, 610, 2825, 19753, 21752, 547, 683, 31129, 2068, 3034, 4913, 267, 646, 19230, 602, 519, 960, 729, 1869, 538, 922, 2038, 5933, 543, 602, 1004, 1058, 711, 1589, 602, 267, 585, 3236, 267, 789, 1223, 1376, 267, 610, 4163, 593, 267, 7296, 1317, 513, 6669, 547, 2061, 5761, 2860, 729, 1175, 1472, 519, 7944, 563, 29205, 1356, 814, 1044, 15286, 543, 1256, 23174, 538, 8983, 7366, 540, 2053, 269, 2311, 1459, 267, 782, 594, 666, 2161, 568, 602, 865, 2484, 621, 5654, 1434, 267, 543, 602, 267, 8259, 1945, 6397, 4523, 267, 713, 4640, 1522, 930, 1554, 581, 4294, 547, 3425, 693, 1164, 1981, 585, 1646, 540, 2860, 269, 634, 10171, 540, 713, 8345, 568, 811, 513, 2243, 585, 519, 2475, 5253, 543, 10684, 10837, 982, 585, 721, 269, 9717, 741, 22608, 6042, 594, 2015, 621, 3833, 2693, 602, 267, 676, 519, 942, 713, 568, 6836, 538, 3425, 267, 594, 786, 581, 11319, 909, 546, 9820, 625, 3034, 30267, 16202, 517, 568, 519, 6276, 24023, 9466, 7905, 540, 9435, 10334, 543, 3493, 14280, 10615, 540, 519, 6276, 24023, 9466, 9435, 4741, 267, 2160, 540, 8402, 6807, 267, 7330, 269, 1261, 543, 1010, 26393, 267, 3220, 7917, 27508, 267, 7318, 1079, 1114, 10074, 538, 519, 8983, 269, 2290, 15538, 540, 25782, 6565, 2281, 630, 2464, 290, 264, 1152, 267, 5833, 689, 10856, 19046, 7514, 7370, 630, 854, 2038, 267, 840, 21553, 8690, 566, 24201, 1040, 634, 824, 6669, 15538, 540, 519, 11536, 12336, 5916, 609, 31796, 4017, 549, 4565, 770, 2281, 6721, 10648, 4211, 306, 293, 267, 513, 2208, 3815, 2356, 1500, 676, 3043, 1973, 2281, 543, 1973, 6077, 2000, 1456, 32361, 2281, 267, 799, 968, 27273, 12737, 525, 892, 519, 4761, 3210, 543, 5526, 547, 3986, 519, 6669, 14001, 12046, 547, 2860, 563, 30267, 16202, 517, 6045, 281, 968, 2171, 2877, 513, 6765, 6174, 585, 10648, 4211, 306, 293, 543, 8359, 5254, 302, 4017, 549, 4565, 6814, 1317, 789, 616, 1419, 1031, 607, 513, 1412, 12890, 518, 4494, 262, 547, 2226, 891, 1880, 10856, 25782, 6565, 2281, 538, 741, 25782, 1533, 269, 1403, 649, 1185, 1031, 1152, 11536, 12336, 11589, 10648, 4211, 306, 293, 267, 789, 1522, 723, 21630, 883, 1875, 268, 10603, 787, 4577, 2281, 267, 799, 267, 4061, 267, 1131, 711, 723, 5249, 607, 513, 6669, 3034, 3891, 543, 1010, 2319, 22280, 8983, 609, 11536, 12336, 4805, 610, 11536, 12336, 1341, 5254, 302, 270, 14875, 4211, 306, 293, 269, 769, 8983, 602, 1185, 11066, 5761, 26217, 1098, 680, 5896, 883, 873, 19952, 267, 11536, 12336, 941, 476, 3199, 260, 2500, 538, 7303, 6084, 712, 2208, 543, 11536, 12336, 1341, 5254, 302, 270, 14875, 4211, 306, 293, 941, 476, 1911, 260, 2500, 269, 769, 8983, 13604, 6534, 547, 513, 15910, 4094, 602, 3123, 5761, 2860, 630, 274, 2173, 14007, 3273, 13183, 16867, 4553, 676, 16625, 546, 3151, 609, 855, 2643, 730, 18038, 12682, 565, 340, 2940, 1070, 11536, 12336, 8507, 538, 476, 2568, 260, 540, 8983, 6967, 6084, 712, 1863, 1310, 476, 2767, 4374, 543, 11536, 290, 1341, 5254, 302, 270, 14875, 4211, 306, 293, 8507, 538, 476, 3445, 260, 6967, 6084, 712, 1863, 269, 12830, 569, 267, 6084, 2293, 16109, 538, 18764, 8983, 941, 267, 593, 3328, 267, 827, 476, 3199, 268, 3445, 260, 4130, 982, 6084, 2293, 538, 796, 341, 3147, 3990, 8983, 269, 2353, 519, 796, 341, 3147, 3990, 8983, 2919, 6084, 2293, 269, 7183, 540, 519, 18764, 8983, 2919, 16991, 2068, 610, 513, 4951, 513, 1713, 7771, 538, 2937, 726, 584, 760, 582, 550, 5642, 20768, 6565, 2281, 1107, 1312, 1761, 8801, 6114, 547, 519, 25750, 563, 30267, 16202, 517, 1767, 281, 968, 2171, 1589, 519, 2164, 689, 519, 15910, 4094, 2987, 527, 7007, 11871, 616, 4440, 519, 1034, 1271, 267, 607, 789, 616, 6251, 547, 519, 2048, 9418, 3734, 685, 2203, 540, 519, 1646, 540, 2860, 982, 1175, 5579, 13589, 2860, 2281, 538, 606, 3662, 269, 1284, 616, 4974, 1896, 1114, 2010, 540, 15910, 4094, 14001, 10856, 11871, 630, 338, 7219, 267, 3935, 267, 6089, 264, 547, 3313, 2436, 519, 23833, 1198, 540, 12674, 11498, 3564, 938, 3631, 540, 5761, 2860, 630, 24392, 538, 938, 1533, 540, 17996, 609, 922, 1164, 7296, 3928, 267, 5761, 2860, 4805, 1131, 581, 513, 2462, 11802, 1040, 1284, 949, 849, 3945, 3729, 30333, 23224, 267, 519, 5354, 540, 799, 1020, 25012, 6084, 2293, 538, 2025, 2085, 563, 24685, 2474, 540, 1480, 4152, 267, 952, 782, 4422, 1134, 267, 1287, 594, 1589, 713, 12674, 1522, 1655, 581, 7318, 538, 2021, 693, 1164, 630, 2102, 2045, 264, 1981, 540, 6089, 2860, 267, 538, 1004, 609, 1164, 630, 2102, 2045, 264, 1981, 540, 3935, 2860, 543, 267, 5310, 267, 538, 21596, 563, 2108, 5978, 3356, 936, 519, 1985, 1906, 1296, 786, 4096, 267, 547, 513, 1804, 6708, 267, 593, 2436, 649, 666, 4482, 1713, 7616, 269, 3776, 960, 568, 27057, 6462, 676, 513, 12681, 9886, 689, 938, 2860, 8998, 543, 513, 1507, 9886, 689, 519, 17996, 25016, 9435, 3194, 5358, 269, 2475, 5313, 7616, 8041, 971, 607, 519, 22078, 295, 1107, 29200, 585, 7616, 22150, 1382, 1107, 723, 1044, 3833, 771, 15517, 539, 3034, 292, 3036, 12839, 1496, 28158, 25944, 585, 3194, 543, 9615, 540, 9435, 267, 715, 5746, 1496, 13233, 9435, 4659, 3910, 589, 3722, 305, 1496, 13563, 5948, 585, 9435, 3194, 14073, 10387, 2742, 28224, 1923, 620, 17304, 454, 300, 1737, 3298, 10726, 856, 19211, 950, 621, 2501, 547, 13936, 3327, 454, 2537, 269, 1556, 269, 1001, 278, 1923, 21785, 2160, 540, 3163, 543, 5303, 454, 300, 580, 7992, 19204, 281, 674, 9529, 538, 519, 1591, 9245, 3761, 1570, 585, 2556, 6926, 2125, 454, 2537, 269, 1556, 269, 1001, 278, 1923, 4639, 325, 7564, 5894, 3832, 12070, 3559, 916, 268, 26536, 28059, 28228, 333, 3122, 454, 28959, 689, 519, 11508, 540, 7725, 3361, 676, 23864, 4229, 1223, 581, 519, 968, 19956, 892, 585, 519, 8652, 31516, 2534, 593, 21275, 781, 7599, 661, 1338, 19921, 639, 269, 901, 1095, 6269, 4680, 602, 2483, 763, 14959, 5359, 606, 6059, 476, 275, 3066, 267, 1822, 13663, 7972, 1142, 1032, 269, 634, 2068, 6140, 5540, 9341, 543, 31210, 4525, 543, 538, 1880, 519, 3979, 11782, 269, 634, 29163, 4659, 585, 8125, 6510, 3194, 4959, 290, 2319, 539, 909, 609, 519, 29163, 4659, 585, 17449, 10334, 543, 11930, 17905, 594, 10933, 543, 519, 4659, 540, 23427, 6925, 693, 519, 2160, 540, 570, 6686, 6883, 523, 585, 513, 1007, 1449, 1505, 547, 3713, 13663, 15495, 538, 1973, 269, 634, 2856, 540, 519, 1382, 1788, 968, 301, 8457, 293, 3918, 307, 892, 568, 547, 1020, 513, 3810, 6213, 543, 6325, 4028, 10368, 1449, 865, 602, 3461, 2126, 666, 2253, 607, 2038, 607, 2009, 563, 22416, 7559, 568, 3361, 676, 15495, 10299, 676, 18151, 11116, 269, 634, 1034, 5906, 1106, 540, 13663, 568, 13663, 21050, 3821, 269, 19382, 15860, 267, 621, 568, 14603, 538, 1034, 2665, 19601, 763, 5250, 540, 6801, 538, 11397, 15270, 568, 1869, 7361, 23257, 1819, 269, 1280, 519, 1101, 942, 267, 7478, 268, 12002, 693, 519, 2160, 540, 25611, 723, 1631, 1044, 2111, 547, 5702, 7747, 513, 5182, 1062, 3670, 5479, 1769, 26188, 2476, 269, 769, 3257, 865, 267, 789, 616, 30260, 4505, 13502, 1500, 676, 519, 2160, 540, 2098, 584, 747, 269, 2290, 2027, 1198, 568, 1500, 2009, 676, 519, 2789, 18759, 540, 2592, 602, 2196, 998, 519, 26355, 899, 513, 13131, 563, 9213, 267, 19936, 723, 513, 7168, 4977, 2856, 540, 875, 6801, 941, 4646, 538, 519, 2487, 17184, 2250, 269, 1809, 798, 891, 4031, 849, 4019, 547, 4587, 15270, 286, 1280, 1472, 513, 2483, 9617, 1317, 2576, 568, 5100, 543, 1134, 2173, 582, 17300, 3085, 1405, 1611, 646, 610, 1352, 666, 1451, 519, 3308, 1983, 2877, 547, 14133, 693, 4247, 899, 12805, 9416, 21646, 267, 16208, 2564, 2473, 17530, 267, 5329, 3950, 540, 8484, 593, 16986, 10525, 610, 18837, 3068, 12805, 563, 6546, 568, 519, 29943, 540, 513, 1007, 1353, 799, 2982, 585, 519, 1101, 942, 602, 972, 568, 513, 3376, 2039, 540, 3604, 538, 1004, 781, 3308, 2702, 543, 602, 891, 2483, 20663, 8751, 2762, 630, 6311, 264, 568, 513, 3044, 5650, 538, 10506, 267, 855, 865, 2484, 267, 519, 2029, 814, 711, 1044, 5078, 585, 9196, 5393, 1507, 3615, 269, 769, 623, 2793, 306, 267, 513, 2319, 689, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 6257, 513, 30594, 4211, 307, 3926, 602, 5932, 1614, 8820, 1535, 11920, 2592, 693, 21368, 909, 547, 476, 1911, 6289, 18852, 269, 634, 1101, 1449, 3498, 281, 8625, 609, 9164, 689, 519, 2160, 540, 918, 553, 1088, 543, 29581, 3128, 16379, 19053, 550, 5300, 2983, 525, 628, 25638, 519, 3173, 9916, 519, 21525, 582, 800, 1062, 540, 513, 6063, 23439, 21431, 563, 7628, 513, 11632, 2079, 267, 519, 1843, 896, 7634, 568, 1535, 11920, 539, 543, 513, 18785, 3800, 519, 9757, 2179, 540, 5982, 12842, 689, 1585, 7285, 19601, 1428, 269, 1556, 269, 1001, 278, 1923, 7926, 5240, 454, 1428, 269, 1556, 269, 1001, 278, 1923, 7926, 5240, 454, 1789, 269, 1015, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 1556, 269, 1001, 278, 1923, 6176, 5303, 454, 2537, 269, 1556, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 2537, 269, 1556, 269, 1001, 278, 1923, 5020, 7070, 0, 4002, 513, 10821, 8265, 454, 514, 4446, 822, 520, 267, 476, 276, 21240, 5045, 540, 645, 600, 267, 2098, 7637, 1731, 3873, 645, 8643, 698, 731, 344, 454, 560, 334, 3591, 676, 519, 22504, 4414, 595, 29266, 1216, 7382, 518, 269, 634, 11361, 454, 30513, 779, 5639, 695, 1389, 607, 1352, 22281, 338, 1018, 5949, 693, 454, 276, 281, 2764, 513, 6230, 269, 593, 476, 2918, 5412, 476, 1220, 274, 269, 968, 296, 729, 6031, 1250, 6640, 454, 335, 2001, 619, 950, 594, 4862, 713, 10978, 3280, 899, 606, 20987, 543, 454, 1492, 3618, 3459, 547, 21199, 2223, 3081, 2098, 7637, 1731, 3873, 267, 607, 1352, 1743, 625, 454, 615, 17229, 609, 519, 7944, 540, 1200, 669, 11456, 269, 968, 763, 1152, 3364, 454, 296, 1223, 798, 729, 2196, 3544, 267, 6028, 1250, 3003, 1920, 547, 5884, 454, 514, 938, 2777, 269, 5808, 786, 1413, 1310, 803, 1631, 602, 594, 723, 1100, 835, 454, 313, 7637, 1731, 3873, 568, 855, 835, 540, 519, 5215, 454, 1993, 9601, 540, 519, 13091, 602, 13351, 519, 2749, 540, 645, 600, 538, 454, 1492, 11662, 540, 918, 9007, 538, 5045, 3887, 6141, 9459, 269, 898, 729, 9459, 779, 454, 1372, 611, 31586, 13091, 538, 6592, 1686, 267, 11318, 811, 982, 454, 6078, 267, 1822, 1004, 267, 3614, 1005, 476, 1789, 267, 1822, 267, 6028, 811, 982, 476, 4037, 267, 1822, 1004, 454, 327, 558, 6804, 543, 476, 5952, 829, 1298, 540, 519, 5321, 10032, 269, 14970, 16901, 338, 454, 1721, 1034, 7264, 723, 1044, 4503, 609, 519, 9552, 540, 454, 1492, 2749, 779, 15805, 16007, 9789, 476, 273, 267, 1822, 1032, 6040, 454, 26855, 661, 645, 600, 3632, 12818, 543, 519, 3441, 540, 476, 1839, 856, 540, 476, 5038, 844, 534, 1846, 1765, 4820, 454, 1993, 606, 3504, 1062, 540, 12555, 23668, 3246, 1216, 454, 1729, 519, 4266, 13869, 11396, 543, 10538, 9240, 1407, 563, 17809, 4575, 9612, 543, 1763, 26443, 543, 28057, 454, 309, 7398, 1302, 782, 519, 17743, 902, 538, 519, 3504, 9390, 2749, 941, 454, 321, 16742, 609, 6106, 540, 16095, 20398, 602, 1835, 14217, 14678, 2390, 454, 15161, 607, 789, 11739, 696, 538, 741, 15135, 269, 10738, 1079, 3108, 540, 519, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 278, 281, 1839, 7537, 454, 287, 11990, 305, 3317, 773, 30971, 267, 1141, 1281, 713, 8635, 2097, 689, 2496, 287, 1186, 320, 28624, 32473, 2020, 3674, 519, 1648, 540, 713, 9325, 1175, 4399, 2765, 346, 272, 2410, 273, 348, 332, 341, 317, 273, 259, 2496, 8133, 267, 543, 602, 666, 849, 581, 2854, 607, 1269, 335, 317, 273, 270, 273, 332, 16859, 732, 649, 1175, 24937, 30372, 1269, 309, 3287, 7751, 1934, 2496, 763, 1761, 568, 4642, 10876, 3330, 751, 4216, 780, 278, 281, 2764, 7537, 454, 2129, 327, 1318, 454, 6851, 3591, 267, 7064, 692, 18737, 2020, 278, 281, 5325, 7537, 454, 287, 11990, 305, 3317, 773, 28982, 27205, 2433, 2020, 287, 298, 9519, 28624, 32473, 2020, 287, 11990, 305, 3317, 773, 594, 1616, 547, 1174, 1018, 5949, 1934, 6695, 842, 1422, 10400, 808, 22570, 11355, 2715, 337, 685, 16585, 1422, 23169, 9745, 274, 22570, 11355, 346, 337, 18511, 1422, 11355, 2715, 337, 685, 16585, 323, 309, 685, 815, 1422, 10400, 808, 22570, 11355, 678, 14638, 454, 7775, 1577, 803, 2328, 621, 1510, 519, 21985, 6695, 842, 1422, 10400, 808, 22570, 10400, 2715, 337, 685, 16585, 9625, 1422, 23169, 9745, 274, 630, 1422, 10400, 678, 910, 1422, 10400, 346, 337, 685, 348, 3738, 546, 309, 685, 815, 1422, 10400, 808, 22570, 10400, 678, 264, 9681, 763, 4082, 912, 11377, 10400, 808, 22570, 11355, 2715, 337, 685, 16585, 1422, 23169, 9745, 274, 22570, 11355, 346, 337, 18511, 1422, 11355, 2715, 337, 685, 348, 14638, 454, 529, 4642, 10876, 4849, 693, 1269, 337, 262, 910, 678, 259, 1141, 621, 568, 3160, 547, 4399, 10400, 808, 7268, 10400, 678, 30879, 8786, 2496, 296, 1589, 621, 568, 4642, 10876, 4849, 950, 4399, 11355, 346, 337, 348, 910, 1422, 11355, 346, 337, 685, 348, 815, 271, 10608, 2549, 594, 7508, 1945, 2496, 302, 3591, 267, 602, 781, 513, 1462, 334, 269, 898, 1058, 723, 1044, 1269, 337, 262, 815, 678, 6911, 278, 281, 6812, 7537, 454, 8133, 692, 3383, 519, 7533, 568, 1175, 936, 519, 630, 8882, 514, 2572, 2711, 264, 3148, 1141, 4399, 23169, 16868, 262, 268, 337, 7751, 568, 1875, 25179, 267, 543, 936, 713, 3148, 649, 666, 1491, 808, 3586, 2094, 519, 3148, 568, 31208, 2572, 2711, 269, 2334, 1797, 649, 666, 1491, 808, 3544, 519, 7533, 547, 1205, 912, 11377, 10400, 808, 22570, 10400, 346, 337, 16585, 1422, 842, 1422, 23169, 9745, 274, 22570, 11355, 346, 337, 18511, 1422, 11355, 2715, 337, 685, 16585, 323, 309, 685, 9681, 31800, 1695, 256, 2433, 2020, 4517, 519, 7533, 540, 4399, 23169, 259, 568, 835, 780, 3719, 27205, 1250, 1966, 568, 602, 4399, 10400, 808, 259, 568, 519, 4320, 1699, 5860, 543, 621, 568, 513, 1599, 540, 4399, 11355, 678, 259, 685, 865, 1018, 1281, 621, 1611, 950, 649, 2328, 4399, 10400, 808, 22570, 10400, 678, 7751, 454, 7445, 10400, 808, 259, 568, 513, 1599, 540, 2215, 539, 4632, 692, 763, 1448, 568, 602, 519, 2076, 8681, 568, 4642, 10876, 4849, 693, 4399, 10400, 678, 262, 815, 1422, 10400, 678, 259, 563, 2171, 666, 8237, 938, 7533, 883, 2694, 912, 272, 269, 693, 4399, 10400, 678, 262, 1422, 928, 1422, 10400, 678, 259, 281, 538, 713, 3148, 4399, 10400, 808, 7268, 10400, 678, 10807, 1422, 928, 1422, 10400, 808, 7268, 10400, 678, 7751, 855, 649, 1810, 1405, 1416, 1317, 519, 2076, 8681, 568, 4642, 19037, 1813, 547, 519, 4399, 23169, 259, 563, 273, 269, 693, 4399, 10400, 678, 262, 815, 1422, 10400, 678, 259, 281, 10876, 538, 713, 3148, 4399, 10400, 808, 815, 1422, 10400, 808, 7268, 10400, 678, 22491, 279, 281, 5881, 7537, 454, 302, 10798, 454, 296, 1589, 594, 1058, 1459, 811, 2796, 1934, 780, 3383, 538, 3148, 476, 273, 4399, 10400, 808, 259, 568, 3927, 1175, 513, 3586, 543, 3160, 547, 4399, 10400, 808, 7268, 10400, 678, 7751, 780, 14188, 596, 865, 1454, 27205, 585, 10912, 803, 5067, 780, 302, 3591, 32473, 2020, 20062, 2969, 2336, 6546, 779, 32533, 454, 8923, 556, 3200, 621, 2433, 2020, 296, 666, 1405, 1631, 269, 1411, 1152, 1205, 1079, 3764, 547, 12575, 9708, 780, 279, 281, 1321, 7537, 454, 295, 1695, 1695, 1695, 21036, 7937, 1250, 2696, 454, 306, 597, 1250, 1292, 1966, 568, 1018, 1281, 4399, 10400, 808, 22570, 10400, 678, 7751, 1797, 950, 808, 568, 513, 1599, 540, 678, 6305, 780, 7445, 10400, 678, 259, 568, 1175, 513, 3586, 538, 713, 2796, 269, 700, 1115, 1491, 513, 2241, 1383, 269, 6333, 519, 1599, 1269, 344, 815, 1535, 259, 563, 4517, 15475, 649, 1616, 547, 798, 912, 11377, 842, 586, 3287, 264, 1422, 23169, 3287, 8584, 264, 15848, 16465, 3602, 1269, 320, 259, 568, 513, 3586, 552, 3052, 269, 1269, 320, 815, 476, 273, 6911, 31800, 1695, 649, 1131, 1205, 586, 263, 273, 2020, 763, 2626, 568, 1269, 344, 5416, 7751, 454, 287, 298, 9519, 9811, 563, 11039, 707, 7533, 540, 4399, 10400, 808, 259, 1568, 538, 1175, 519, 1482, 1259, 780, 3383, 1018, 1281, 4399, 10400, 808, 22570, 10400, 678, 7751, 1611, 286, 4399, 10400, 678, 259, 568, 513, 3586, 267, 875, 286, 4399, 10400, 678, 815, 1422, 30848, 1535, 267, 586, 2073, 1990, 1422, 26917, 6911, 12648, 1250, 1383, 543, 2328, 621, 607, 912, 11377, 842, 1422, 10400, 808, 3287, 264, 1422, 23169, 3287, 8584, 264, 15848, 16465, 763, 1269, 343, 259, 568, 1175, 519, 4756, 1031, 585, 5610, 267, 543, 649, 666, 1289, 621, 1269, 343, 262, 259, 952, 649, 6999, 267, 865, 649, 666, 2328, 519, 3830, 607, 912, 11377, 842, 1422, 10400, 808, 3287, 10807, 1422, 23169, 3287, 262, 268, 320, 264, 15848, 262, 16465, 4517, 1269, 320, 259, 568, 1175, 513, 3586, 865, 649, 666, 1289, 713, 3586, 1269, 343, 259, 952, 649, 6999, 912, 11377, 842, 1422, 10400, 808, 3287, 10807, 1422, 23169, 3287, 262, 268, 343, 264, 15848, 262, 16465, 4517, 1631, 519, 1267, 568, 4399, 10400, 808, 3287, 7751, 454, 3719, 538, 713, 9819, 1269, 343, 259, 568, 1175, 930, 3586, 267, 1175, 899, 1269, 320, 259, 563, 285, 855, 649, 3112, 2268, 808, 693, 1535, 607, 808, 568, 513, 1599, 540, 1535, 685, 692, 279, 281, 2537, 7537, 454, 302, 10798, 1797, 1535, 568, 1175, 25084, 547, 513, 3586, 454, 2496, 8133, 267, 4010, 563, 1103, 707, 3312, 7533, 4399, 10400, 678, 259, 568, 513, 3586, 6152, 780, 3383, 267, 1018, 1281, 6695, 10109, 5055, 1422, 9392, 1422, 10400, 645, 22570, 10400, 678, 264, 815, 1422, 14153, 318, 271, 1422, 10400, 808, 22570, 10400, 678, 14638, 454, 1889, 753, 2496, 1103, 602, 4082, 4399, 10400, 678, 259, 568, 513, 4756, 269, 634, 10035, 4399, 10400, 678, 259, 1797, 1114, 1919, 538, 519, 1079, 4834, 563, 2467, 781, 1100, 1876, 6031, 649, 666, 1405, 946, 4399, 10400, 678, 259, 607, 2901, 513, 3586, 610, 513, 4756, 267, 649, 1175, 666, 1405, 798, 1312, 538, 519, 1482, 3830, 780, 3719, 519, 3364, 602, 649, 1705, 1657, 729, 513, 6169, 540, 713, 6695, 10109, 5055, 1422, 9392, 1422, 10400, 645, 22570, 10400, 678, 264, 815, 1422, 14153, 318, 271, 1422, 10400, 808, 22570, 10400, 678, 264, 9681, 1607, 1505, 568, 1031, 4749, 538, 8174, 725, 269, 594, 1589, 596, 723, 513, 4514, 3390, 982, 1175, 713, 835, 8174, 566, 269, 1411, 991, 547, 979, 1394, 543, 2015, 519, 6310, 2409, 1031, 563, 324, 3052, 269, 519, 22263, 2981, 540, 513, 1187, 551, 517, 1269, 325, 3287, 7751, 568, 4399, 842, 535, 3287, 264, 324, 3867, 1460, 335, 348, 11459, 6911, 279, 281, 3451, 7537, 454, 29309, 532, 1269, 286, 7711, 11990, 305, 3317, 773, 28514, 267, 1287, 286, 1656, 713, 3947, 721, 513, 1007, 1599, 259, 326, 9638, 7751, 3383, 538, 519, 7533, 649, 1491, 259, 335, 259, 6247, 656, 267, 855, 519, 1267, 3947, 721, 513, 1007, 1599, 259, 326, 9638, 7751, 323, 8817, 593, 519, 4756, 259, 335, 10608, 23010, 256, 898, 262, 320, 26270, 1360, 8969, 995, 269, 634, 8373, 568, 602, 594, 6415, 865, 1031, 547, 3257, 713, 602, 594, 22992, 666, 1405, 1294, 1946, 4896, 1131, 723, 513, 1966, 609, 621, 269, 476, 273, 22743, 11190, 295, 11190, 11190, 11190, 11190, 1656, 596, 917, 891, 2042, 3247, 803, 689, 3001, 4464, 543, 1256, 952, 789, 616, 12193, 594, 1205, 4986, 3730, 269, 7711, 11990, 305, 3317, 773, 28624, 476, 279, 281, 6078, 7537, 14597, 596, 723, 513, 1599, 540, 1079, 4632, 259, 325, 3287, 11971, 7751, 6533, 596, 666, 12337, 513, 1007, 1599, 259, 326, 12169, 264, 815, 1422, 842, 535, 3287, 11971, 264, 15848, 259, 31800, 1695, 1775, 4318, 269, 596, 2811, 10128, 547, 4894, 519, 13829, 593, 259, 343, 10608, 4270, 602, 568, 782, 602, 568, 1373, 2944, 1934, 269, 1411, 723, 513, 1599, 259, 325, 16868, 267, 337, 262, 7751, 663, 596, 2811, 7384, 7445, 842, 535, 16868, 267, 337, 10807, 1743, 262, 259, 1729, 4894, 519, 13829, 593, 259, 337, 262, 10608, 28514, 8206, 7711, 301, 984, 1328, 13440, 1758, 1125, 762, 28624, 32473, 264, 4208, 2097, 8515, 540, 1101, 8701, 6500, 568, 10300, 1386, 286, 7711, 11990, 305, 3317, 773, 922, 711, 3727, 1876, 269, 7711, 11990, 305, 3317, 773, 9745, 317, 476, 279, 281, 5379, 7537, 14597, 649, 723, 1769, 609, 930, 3167, 6152, 259, 292, 1422, 1002, 795, 8961, 543, 649, 1780, 621, 998, 513, 8701, 16014, 693, 606, 5086, 7445, 9064, 259, 1729, 519, 3167, 6152, 269, 7711, 11990, 305, 3317, 773, 9493, 1695, 269, 1684, 596, 917, 519, 4082, 585, 519, 17931, 540, 519, 1769, 10299, 998, 519, 8701, 16014, 286, 7711, 11990, 305, 3317, 773, 9493, 1695, 259, 328, 265, 6523, 317, 273, 11513, 9064, 348, 1269, 6546, 781, 519, 8515, 267, 1775, 4318, 269, 259, 292, 317, 273, 10608, 1403, 941, 7231, 609, 519, 17931, 649, 1205, 259, 292, 262, 815, 661, 315, 6523, 24592, 10608, 8786, 286, 7711, 11990, 305, 3317, 773, 855, 1946, 538, 1101, 8701, 6500, 8515, 568, 10300, 1386, 286, 7711, 11990, 305, 3317, 773, 540, 1576, 269, 476, 279, 281, 5392, 7537, 5221, 519, 1769, 729, 7620, 10002, 6897, 1242, 269, 7711, 1186, 320, 865, 286, 7711, 301, 984, 1328, 13440, 1758, 1125, 762, 513, 327, 267, 15528, 267, 20994, 594, 29144, 1018, 596, 941, 6998, 269, 1411, 2811, 6998, 1946, 950, 10002, 6897, 2213, 1769, 10596, 998, 513, 8701, 16014, 922, 8515, 568, 10300, 1386, 286, 7711, 1186, 320, 865, 18253, 1876, 1281, 711, 3180, 585, 8701, 6500, 286, 7711, 11990, 305, 3317, 773, 9493, 1695, 269, 1703, 781, 513, 1267, 602, 585, 10002, 6897, 1242, 1769, 8429, 998, 513, 8701, 6500, 267, 259, 296, 815, 1422, 2765, 346, 272, 2410, 273, 348, 296, 318, 271, 10608, 3627, 666, 2995, 596, 827, 519, 24134, 585, 1946, 269, 1548, 568, 18253, 1876, 286, 476, 279, 281, 7906, 7537, 7711, 11990, 305, 3317, 773, 602, 5430, 1876, 799, 594, 5206, 269, 898, 781, 10416, 1317, 10002, 6897, 1242, 1797, 519, 1769, 568, 834, 12690, 569, 257, 8701, 1242, 267, 865, 519, 2949, 1267, 568, 602, 3368, 540, 519, 1769, 568, 12842, 269, 476, 274, 25008, 3516, 267, 676, 12321, 1328, 5431, 762, 7711, 11990, 305, 3317, 773, 9493, 1695, 259, 328, 265, 6523, 317, 273, 11513, 9064, 348, 1269, 1607, 835, 594, 1590, 16153, 594, 4312, 2760, 4862, 602, 2012, 1031, 585, 519, 1267, 269, 898, 781, 5689, 639, 262, 1876, 267, 711, 18253, 269, 1809, 1022, 6011, 267, 607, 533, 21542, 3081, 602, 6645, 596, 1018, 4523, 547, 8701, 2213, 1769, 950, 621, 10596, 998, 513, 8701, 16014, 269, 476, 279, 281, 7367, 7537, 7711, 11990, 305, 3317, 773, 586, 788, 4648, 798, 1152, 1870, 269, 2433, 264, 910, 7711, 1186, 320, 9493, 1695, 20994, 269, 7711, 1186, 320, 540, 1576, 256, 32473, 264, 7711, 11990, 305, 3317, 773, 20994, 1932, 269, 1411, 666, 17589, 519, 6771, 585, 10002, 6897, 2213, 1769, 952, 596, 1616, 547, 269, 7780, 781, 513, 5266, 3551, 7533, 269, 7711, 11990, 305, 3317, 773, 865, 585, 10002, 6897, 1242, 1769, 621, 3513, 1205, 10300, 1386, 269, 8786, 476, 279, 281, 7918, 7537, 7711, 11990, 305, 3317, 773, 782, 1318, 269, 6271, 835, 286, 15528, 3267, 7790, 1411, 1223, 849, 1589, 540, 621, 538, 2474, 540, 8840, 1919, 909, 883, 26667, 3334, 269, 1403, 519, 1769, 568, 14477, 8701, 1242, 267, 3368, 540, 519, 3167, 2361, 568, 20218, 26667, 547, 519, 8701, 6500, 267, 543, 3368, 540, 519, 3167, 2361, 568, 20218, 6252, 547, 621, 269, 1924, 3368, 4422, 998, 267, 3368, 4991, 12842, 269, 7711, 1186, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 294, 4261, 528, 1849, 320, 756, 11448, 674, 269, 12722, 1185, 1572, 856, 519, 16713, 21816, 17621, 631, 4106, 807, 547, 16590, 593, 519, 6316, 540, 853, 269, 8402, 538, 14811, 749, 717, 17311, 267, 519, 17294, 1185, 804, 663, 32347, 569, 5833, 25044, 689, 519, 28583, 2329, 543, 1159, 10212, 1194, 621, 883, 519, 17740, 807, 1958, 2086, 618, 1107, 5219, 547, 607, 8805, 12722, 269, 26637, 1408, 10370, 517, 729, 3222, 540, 713, 695, 3612, 543, 729, 7255, 519, 17740, 807, 1131, 1847, 593, 519, 853, 269, 8402, 1488, 11420, 531, 269, 7338, 654, 269, 590, 1048, 344, 729, 2322, 538, 4971, 540, 519, 19070, 1023, 8878, 267, 950, 646, 22415, 1117, 519, 14586, 998, 519, 10754, 547, 519, 19070, 531, 267, 930, 14220, 2818, 540, 519, 15624, 3459, 547, 2046, 1996, 519, 1184, 542, 269, 570, 13550, 338, 543, 795, 739, 1782, 5555, 3366, 547, 7784, 13933, 543, 1082, 7972, 267, 6140, 21127, 267, 513, 1554, 2663, 267, 519, 16713, 4937, 13909, 2813, 519, 16713, 3557, 15050, 27985, 547, 9718, 519, 1533, 689, 6285, 689, 9228, 14763, 689, 2901, 2427, 540, 519, 2112, 269, 634, 17294, 12912, 28238, 1782, 12313, 607, 519, 19524, 609, 519, 7584, 540, 2489, 540, 1533, 4229, 454, 28347, 540, 519, 2136, 2276, 454, 763, 5518, 540, 519, 2136, 2276, 568, 519, 2212, 540, 1533, 543, 2212, 540, 2229, 540, 519, 2136, 2276, 269, 634, 7022, 1463, 338, 519, 10324, 7936, 540, 519, 2229, 543, 568, 519, 19524, 2987, 268, 27815, 540, 519, 2136, 2276, 20331, 17086, 269, 634, 7022, 568, 2808, 547, 581, 835, 540, 519, 10600, 1034, 3532, 2797, 5515, 267, 519, 1909, 2882, 1373, 519, 19524, 2987, 268, 27815, 540, 519, 10600, 1034, 7199, 4108, 609, 519, 2034, 4102, 6046, 19070, 531, 543, 3056, 519, 4182, 609, 519, 4102, 4346, 676, 22194, 12654, 269, 634, 5604, 540, 5518, 6585, 1713, 2182, 543, 2571, 1379, 1312, 538, 519, 2136, 2276, 543, 13383, 267, 9139, 642, 3949, 519, 10324, 1379, 540, 519, 2136, 2276, 538, 519, 7022, 269, 634, 7022, 568, 23518, 547, 9886, 5313, 533, 731, 976, 543, 1065, 4471, 1407, 269, 634, 7022, 568, 3743, 585, 9598, 908, 519, 15424, 16786, 540, 519, 5428, 547, 799, 519, 7022, 568, 513, 4759, 269, 634, 7022, 1463, 338, 519, 4914, 543, 6469, 3609, 540, 519, 2136, 2276, 267, 2094, 519, 5604, 540, 5518, 729, 3964, 538, 476, 9965, 280, 267, 922, 1379, 814, 6738, 15186, 267, 607, 814, 519, 1379, 540, 519, 5313, 2229, 607, 513, 2898, 563, 4913, 267, 8370, 13030, 27504, 723, 10924, 519, 24164, 1510, 2348, 11221, 547, 519, 5604, 269, 634, 26062, 29364, 14821, 10238, 1080, 4896, 689, 1373, 11221, 7022, 585, 513, 3791, 2165, 267, 538, 782, 267, 4510, 2043, 723, 6039, 476, 3393, 1095, 573, 4293, 17364, 476, 6872, 2407, 2185, 4458, 2474, 269, 2201, 5130, 476, 736, 267, 1001, 278, 267, 18496, 11686, 729, 2220, 1941, 538, 607, 519, 476, 3393, 628, 267, 538, 476, 10082, 277, 267, 519, 774, 597, 10117, 16690, 625, 267, 9117, 998, 519, 5822, 25550, 6837, 267, 10294, 2797, 7115, 689, 4279, 6628, 1282, 519, 1977, 7169, 269, 634, 1007, 2829, 267, 1498, 4830, 540, 1142, 824, 607, 4182, 2829, 267, 964, 3931, 547, 2057, 4376, 602, 20716, 11696, 1194, 513, 21257, 267, 6837, 7858, 7007, 519, 15080, 540, 32700, 547, 3715, 513, 4617, 19710, 1063, 519, 2829, 269, 4934, 689, 896, 1022, 21257, 267, 519, 2829, 8655, 930, 19497, 10424, 840, 5766, 2510, 547, 6837, 267, 1152, 1310, 782, 519, 2829, 8815, 547, 513, 6571, 23928, 12721, 7262, 2244, 6811, 1705, 519, 15080, 1491, 1198, 593, 4728, 476, 272, 267, 9965, 272, 267, 950, 15930, 2968, 519, 3803, 1533, 547, 3731, 1518, 873, 563, 1103, 476, 9965, 274, 267, 519, 15521, 540, 8303, 17956, 7115, 585, 1142, 540, 519, 5449, 10125, 267, 609, 4708, 693, 1688, 267, 519, 2829, 1142, 5828, 4724, 741, 1378, 4835, 12602, 269, 18370, 11072, 585, 519, 15007, 7902, 6926, 752, 2394, 6276, 23885, 543, 31611, 11969, 20462, 16309, 538, 17516, 6723, 654, 4770, 27971, 20343, 547, 15740, 607, 513, 15518, 622, 585, 9098, 269, 898, 729, 998, 519, 16395, 693, 15740, 602, 519, 24164, 29600, 538, 519, 772, 269, 590, 269, 634, 1101, 1379, 519, 9139, 1476, 619, 2390, 519, 7022, 568, 519, 1654, 1729, 267, 519, 10558, 618, 1849, 1021, 3340, 1022, 3915, 5293, 676, 6837, 547, 581, 4843, 547, 519, 7022, 1354, 621, 666, 1831, 1876, 269, 4495, 519, 9086, 814, 1044, 4843, 267, 519, 7022, 814, 1614, 3681, 267, 6178, 519, 9086, 267, 519, 3915, 3587, 1876, 269, 966, 16587, 519, 9086, 543, 2132, 621, 547, 6837, 267, 11589, 1022, 1843, 687, 267, 538, 713, 3236, 267, 519, 7022, 9444, 4191, 6862, 1654, 1729, 525, 519, 9086, 454, 13563, 6406, 2782, 454, 763, 1977, 6406, 2782, 729, 606, 4835, 4655, 10692, 538, 519, 2136, 2276, 689, 476, 5908, 272, 547, 476, 5908, 276, 269, 634, 5742, 5185, 694, 20896, 1235, 538, 22221, 8828, 2829, 19882, 1927, 607, 519, 20752, 2276, 540, 3013, 267, 519, 5742, 4465, 519, 2112, 267, 799, 3788, 519, 1973, 5006, 538, 772, 269, 590, 269, 1686, 269, 7324, 519, 476, 4097, 772, 269, 590, 269, 2829, 538, 5988, 476, 5908, 272, 267, 2782, 13264, 856, 538, 4989, 476, 5908, 272, 950, 28583, 919, 16091, 519, 772, 269, 590, 269, 28183, 540, 10783, 5681, 614, 269, 634, 28583, 2329, 8057, 547, 22221, 2829, 267, 621, 10645, 1079, 811, 2829, 267, 519, 4095, 24540, 267, 543, 519, 7013, 13980, 540, 519, 7262, 11182, 540, 14151, 269, 634, 28583, 2329, 729, 2760, 6444, 676, 519, 2136, 2276, 2229, 6862, 676, 1022, 4914, 2197, 269, 634, 2829, 602, 7283, 10121, 267, 1519, 8473, 2829, 1141, 8474, 729, 3656, 267, 941, 1634, 607, 519, 5742, 610, 519, 3345, 267, 519, 2112, 8694, 609, 519, 21704, 540, 782, 519, 20752, 20679, 543, 519, 27072, 540, 519, 20752, 2229, 538, 519, 5614, 540, 476, 5908, 276, 269, 634, 2112, 1185, 922, 5169, 538, 519, 3390, 540, 8474, 269, 634, 28583, 2329, 25540, 543, 476, 275, 2929, 10437, 941, 15685, 267, 855, 1354, 1010, 22305, 4851, 267, 5722, 10553, 2829, 609, 10412, 2861, 11615, 4646, 519, 28583, 2329, 563, 763, 1101, 3670, 547, 17551, 694, 20896, 1185, 519, 5207, 17114, 540, 10437, 538, 741, 5095, 267, 519, 1101, 5722, 609, 1533, 9777, 2137, 547, 8207, 585, 694, 20896, 3769, 8237, 2101, 885, 585, 9769, 1235, 19958, 543, 13852, 538, 11908, 609, 476, 7906, 260, 543, 17039, 609, 476, 4649, 10065, 17665, 1185, 20366, 476, 5379, 260, 585, 1346, 9769, 1235, 267, 14967, 609, 476, 2412, 9077, 8419, 609, 476, 4343, 9077, 7147, 609, 476, 1839, 9077, 540, 891, 267, 1152, 7147, 4371, 513, 22275, 31558, 593, 694, 20896, 269, 20640, 6967, 10553, 2829, 4797, 547, 7947, 7125, 585, 694, 20896, 267, 856, 4707, 14891, 5518, 6276, 29246, 534, 534, 543, 519, 19670, 25743, 15653, 694, 20896, 607, 10363, 269, 6931, 3712, 985, 4728, 476, 275, 267, 5908, 272, 22305, 1116, 2232, 10294, 602, 1010, 7245, 1131, 711, 20006, 513, 3540, 2112, 267, 6340, 2047, 547, 519, 8828, 2276, 267, 646, 556, 3530, 3305, 539, 267, 594, 723, 1100, 3483, 267, 2047, 610, 18549, 547, 15936, 609, 519, 9872, 540, 8474, 538, 519, 2136, 2276, 1141, 621, 6818, 269, 594, 3494, 594, 723, 1100, 1318, 547, 798, 865, 267, 543, 594, 723, 1100, 31007, 547, 798, 865, 269, 2991, 20752, 4229, 25868, 3875, 5313, 585, 1206, 1369, 8513, 10645, 676, 519, 28583, 2329, 267, 3646, 693, 14207, 8959, 267, 519, 28583, 919, 10924, 602, 3864, 2477, 941, 865, 8200, 593, 3751, 29158, 602, 789, 1131, 26544, 267, 855, 9039, 1705, 267, 543, 9039, 6444, 519, 1007, 20752, 2276, 540, 3013, 563, 295, 739, 1988, 3459, 593, 4989, 476, 1321, 267, 5908, 272, 267, 950, 20752, 4229, 17991, 2390, 10783, 5681, 614, 267, 1247, 538, 519, 5375, 26308, 519, 5742, 1500, 1713, 8628, 12374, 267, 538, 519, 8109, 26308, 267, 519, 6370, 729, 21016, 5477, 538, 476, 5908, 272, 1700, 7830, 269, 634, 15489, 476, 5908, 273, 20752, 11044, 883, 15930, 543, 17996, 8959, 267, 4744, 340, 8172, 3703, 6304, 267, 12493, 9783, 519, 661, 2006, 322, 11692, 1160, 17474, 267, 799, 1500, 10678, 8474, 513, 2112, 3804, 269, 1677, 519, 7178, 267, 676, 4832, 476, 5908, 273, 519, 5742, 10032, 519, 20752, 5757, 26010, 267, 1454, 540, 741, 7262, 20679, 267, 519, 476, 5908, 274, 5742, 26362, 540, 966, 6506, 7921, 8237, 519, 28583, 2329, 538, 1079, 693, 519, 14967, 5211, 269, 769, 476, 5908, 274, 267, 7917, 661, 269, 2274, 525, 20752, 1651, 2720, 542, 5087, 8694, 693, 519, 11135, 540, 5192, 339, 903, 7921, 267, 5375, 18454, 3366, 547, 772, 569, 1087, 525, 590, 269, 6182, 1218, 4971, 540, 782, 5742, 20679, 538, 476, 5908, 275, 454, 29309, 14873, 568, 513, 1533, 538, 519, 11068, 13523, 3148, 540, 519, 2136, 2276, 267, 8236, 1533, 3125, 538, 476, 9264, 272, 269, 2060, 936, 3670, 2929, 7264, 267, 621, 568, 519, 22733, 1034, 29245, 1533, 267, 519, 4102, 4683, 2127, 616, 853, 269, 8402, 267, 17857, 4975, 543, 12052, 269, 634, 1698, 20738, 568, 538, 16962, 4975, 593, 519, 16713, 5211, 267, 519, 1533, 568, 519, 8938, 23867, 1034, 3573, 676, 1858, 543, 568, 32321, 3309, 269, 634, 8832, 26111, 941, 2899, 4988, 676, 22260, 267, 7381, 24124, 31403, 267, 538, 519, 3162, 616, 519, 23520, 10225, 267, 513, 4104, 539, 1164, 1633, 267, 3246, 16025, 543, 18883, 269, 634, 14967, 5211, 3029, 519, 8473, 540, 519, 1533, 267, 5555, 13576, 883, 519, 32761, 344, 16713, 645, 2393, 31856, 269, 18972, 723, 20948, 519, 2244, 1631, 1634, 607, 16713, 585, 693, 2547, 476, 1321, 267, 1822, 1296, 267, 519, 7323, 13490, 1014, 2528, 3710, 4872, 543, 544, 2432, 267, 1354, 19394, 538, 519, 476, 9873, 271, 338, 269, 1879, 3864, 17701, 8452, 538, 519, 476, 8182, 271, 338, 789, 11402, 519, 14642, 720, 267, 519, 3943, 3964, 17039, 267, 513, 851, 540, 1715, 5333, 267, 543, 8547, 6008, 269, 2637, 5271, 10079, 538, 476, 15876, 276, 543, 853, 269, 8402, 538, 476, 12293, 275, 267, 1310, 513, 5618, 1974, 540, 5053, 4341, 267, 519, 2136, 2276, 9715, 519, 17039, 27619, 538, 476, 5197, 274, 563, 25567, 753, 689, 519, 772, 680, 663, 3162, 267, 1519, 20665, 3979, 4892, 267, 32357, 883, 519, 1007, 16713, 24540, 267, 1082, 689, 9098, 543, 17906, 12306, 538, 519, 4425, 976, 5585, 1858, 540, 11068, 5336, 1170, 14873, 269, 17652, 1310, 267, 5230, 4436, 11776, 4646, 519, 16713, 10910, 514, 14657, 267, 16713, 5129, 513, 3844, 1909, 538, 519, 31023, 7269, 540, 519, 2136, 2276, 267, 607, 18189, 1242, 676, 519, 19835, 3118, 5246, 269, 634, 623, 3415, 18124, 267, 14822, 20417, 267, 13244, 3171, 20417, 267, 607, 513, 8473, 1533, 267, 7323, 712, 529, 1909, 538, 519, 1977, 6406, 2782, 729, 1950, 543, 972, 941, 1082, 7526, 1369, 269, 2991, 519, 2112, 267, 1312, 20523, 853, 269, 8402, 543, 519, 17857, 4975, 23195, 1858, 2968, 7740, 540, 22713, 543, 1870, 267, 519, 1533, 568, 5258, 883, 476, 14625, 17521, 543, 519, 4830, 2749, 540, 853, 269, 8402, 269, 7323, 712, 529, 2528, 24025, 2609, 689, 519, 11068, 13523, 543, 8828, 2136, 2276, 267, 519, 7574, 6163, 540, 986, 326, 5503, 267, 17857, 4975, 15690, 267, 543, 853, 269, 8402, 2349, 1132, 267, 2919, 538, 16713, 269, 634, 1134, 8153, 17857, 4975, 16654, 3046, 13069, 826, 267, 543, 14758, 1634, 853, 269, 8402, 16654, 3046, 13069, 826, 666, 581, 1336, 2066, 519, 1533, 267, 853, 563, 299, 537, 529, 568, 513, 2101, 4099, 540, 14420, 28823, 267, 1323, 515, 12528, 5174, 20415, 568, 519, 4102, 16073, 538, 519, 1158, 269, 16713, 9174, 568, 3812, 538, 519, 7404, 16713, 10910, 514, 14657, 543, 23520, 10225, 267, 7323, 712, 529, 4568, 4031, 616, 1851, 519, 1034, 7989, 1170, 633, 538, 519, 2136, 2276, 269, 31072, 540, 519, 1804, 4872, 2442, 15805, 18353, 1331, 519, 8235, 540, 519, 23520, 10225, 267, 772, 269, 590, 269, 5518, 16452, 590, 269, 32457, 568, 689, 16713, 269, 4033, 1134, 1634, 16713, 753, 1331, 4460, 30805, 267, 32240, 18557, 267, 932, 3089, 7137, 787, 267, 930, 540, 519, 4102, 3549, 1759, 538, 519, 1533, 1331, 18124, 14644, 338, 267, 2506, 3205, 11272, 267, 11977, 13643, 267, 543, 744, 3725, 11035, 16790, 20668, 269, 16713, 814, 1044, 1572, 519, 12624, 540, 519, 4639, 543, 519, 29190 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3557, 5600, 568, 1753, 547, 519, 17135, 781, 5604, 267, 607, 1134, 607, 519, 5600, 543, 14130, 20830, 269, 25608, 268, 5028, 6710, 30281, 3356, 269, 1284, 723, 3177, 519, 1739, 2200, 585, 707, 13418, 269, 13772, 519, 4663, 3381, 1934, 543, 1451, 811, 256, 13966, 609, 3979, 10437, 267, 22063, 3177, 1454, 540, 519, 1394, 31771, 4074, 602, 24458, 519, 6668, 540, 519, 1007, 12733, 269, 634, 15424, 12233, 17101, 519, 22058, 566, 540, 476, 1960, 276, 268, 1960, 279, 269, 589, 20381, 4027, 1062, 729, 8704, 547, 7413, 519, 3441, 538, 519, 2680, 540, 606, 13091, 2147, 547, 519, 4077, 31760, 13091, 540, 476, 6642, 277, 269, 898, 10057, 519, 3407, 3557, 5600, 5399, 267, 13646, 543, 11925, 267, 513, 5318, 7274, 540, 8737, 18899, 543, 11315, 1570, 267, 6059, 676, 715, 1512, 333, 5408, 547, 581, 4502, 1269, 10384, 267, 1822, 282, 543, 267, 715, 1512, 333, 5408, 781, 5399, 540, 11265, 543, 3621, 2835, 267, 1266, 9545, 902, 543, 1896, 8536, 12400, 267, 519, 1267, 540, 1010, 2259, 540, 8938, 19317, 1296, 269, 14986, 10830, 7233, 566, 3557, 19866, 13505, 3091, 5813, 883, 519, 909, 12248, 787, 10412, 24873, 540, 3162, 10491, 779, 968, 5353, 20896, 17135, 2223, 5261, 8361, 717, 626, 269, 2201, 5239, 476, 272, 267, 476, 5908, 271, 267, 715, 1512, 333, 5408, 4080, 602, 519, 2497, 1185, 24111, 5176, 24239, 29350, 3952, 1657, 519, 3723, 540, 519, 5748, 543, 602, 519, 834, 11274, 5193, 1871, 540, 519, 960, 2322, 883, 519, 2679, 257, 729, 1269, 272, 267, 13301, 267, 6187, 274, 269, 12532, 2987, 19150, 616, 20888, 543, 9415, 269, 4014, 782, 15424, 5638, 585, 519, 2679, 616, 711, 2139, 267, 1346, 602, 616, 1397, 519, 4937, 13909, 3261, 730, 693, 2547, 1269, 274, 267, 25851, 267, 1822, 585, 4070, 540, 519, 3557, 5600, 602, 4797, 585, 936, 476, 2004, 1296, 269, 4107, 8436, 786, 2760, 1294, 519, 7293, 9283, 267, 519, 10427, 5122, 11443, 267, 15372, 1949, 267, 610, 519, 1533, 6361, 7308, 19603, 13091, 5248, 2209, 602, 941, 8704, 269, 6250, 6002, 666, 849, 4663, 693, 741, 1378, 10605, 1210, 2156, 577, 999, 2139, 538, 519, 3557, 5600, 269, 634, 544, 6416, 267, 3710, 538, 519, 4571, 268, 1240, 628, 2540, 267, 568, 513, 5386, 1383, 540, 9677, 1014, 6189, 269, 7309, 1227, 10704, 1369, 25708, 12052, 267, 519, 1699, 3162, 10491, 3557, 5600, 568, 519, 1267, 540, 4070, 799, 16768, 3368, 513, 2540, 1606, 3966, 940, 689, 476, 6977, 276, 547, 476, 5002, 278, 269, 476, 17652, 27502, 267, 519, 2497, 729, 7361, 24905, 1194, 1317, 540, 26843, 2326, 543, 960, 26206, 269, 20752, 25035, 26432, 11711, 267, 3162, 10491, 11572, 26888, 267, 2160, 540, 3162, 10491, 269, 769, 476, 4198, 271, 267, 519, 12052, 7467, 540, 3203, 10736, 519, 2777, 585, 946, 607, 513, 9754, 267, 19249, 543, 14219, 1173, 532, 519, 2679, 676, 4946, 1614, 12209, 269, 476, 5002, 274, 634, 3791, 3557, 5600, 568, 6192, 1310, 5176, 476, 2004, 1296, 540, 1373, 896, 4070, 269, 7046, 476, 280, 513, 6230, 269, 910, 476, 275, 281, 1789, 533, 6230, 269, 11728, 910, 11016, 267, 543, 476, 1015, 513, 6230, 269, 910, 476, 275, 533, 6230, 269, 593, 14349, 269, 29740, 5097, 856, 540, 4544, 25342, 267, 3162, 10491, 779, 4013, 1533, 6149, 267, 519, 3557, 5600, 568, 4625, 3595, 16513, 3850, 621, 547, 9108, 4558, 1082, 1271, 1533, 6054, 543, 2777, 1079, 540, 938, 1614, 8371, 540, 1533, 2229, 269, 14520, 834, 11584, 1188, 519, 7262, 4395, 2437, 609, 2370, 3441, 834, 21955, 835, 799, 695, 13593, 519, 22285, 539, 9486, 650, 543, 2545, 31255, 540, 519, 2034, 6885, 630, 5228, 519, 7187, 1439, 264, 540, 519, 8065, 540, 519, 5600, 540, 24929, 1701, 9737, 476, 5002, 271, 543, 476, 5002, 274, 519, 8122, 729, 8719, 282, 543, 267, 519, 26434, 543, 5087, 543, 5045, 2823, 545, 3996, 941, 6192, 269, 3245, 519, 6534, 267, 7372, 1688, 13463, 1233, 16025, 7406, 547, 10347, 16051, 601, 12328, 1286, 19133, 267, 8621, 17980, 6054, 519, 23477, 540, 3162, 10491, 779, 7810, 1974, 269, 12052, 729, 519, 4087, 540, 3162, 8349, 21590, 2034, 3557, 5600, 269, 7309, 1227, 10704, 538, 25708, 12052, 267, 519, 3162, 10491, 3557, 5600, 568, 519, 10160, 540, 1533, 2229, 538, 3162, 10111, 565, 2088, 269, 7671, 715, 1512, 333, 5408, 779, 1374, 729, 1759, 593, 16180, 519, 3595, 16513, 4566, 602, 1010, 4651, 1185, 13175, 13977, 1296, 1354, 269, 1411, 949, 798, 513, 1582, 28621, 3660, 4663, 540, 519, 3557, 5600, 267, 855, 11461, 3557, 5600, 19150, 616, 17735, 2394, 2417, 5469, 269, 4414, 743, 858, 324, 7233, 566, 267, 6192, 538, 476, 6977, 280, 267, 729, 2899, 519, 1753, 540, 6276, 8361, 30623, 1180, 267, 1614, 5481, 540, 1010, 18939, 267, 543, 3875, 3979, 12677, 3885, 899, 519, 7009, 18436, 267, 6153, 342, 1231, 267, 1299, 654, 580, 17517, 945, 5249, 693, 519, 3135, 607, 10437, 543, 2663, 1863, 2367, 543, 2021, 269, 769, 476, 5002, 271, 7671, 623, 15127, 6660, 14315, 3459, 607, 4056, 267, 855, 729, 8719, 538, 476, 5002, 276, 676, 8176, 595, 20269, 14355, 945, 6368, 8737, 519, 16538, 538, 476, 5002, 278, 269, 634, 4937, 13909, 1185, 1831, 7255, 602, 4013, 1857, 5638, 1373, 6740, 538, 519, 3557, 5600, 1131, 581, 8697, 607, 513, 1267, 540, 519, 14016, 908, 2175, 282, 865, 267, 538, 476, 6977, 271, 789, 6430, 2507, 12052, 729, 519, 4087, 540, 3162, 10491, 779, 2034, 3557, 5600, 269, 634, 3557, 5600, 10516, 6300, 568, 20525, 2894, 689, 7046, 476, 280, 513, 6230, 269, 910, 476, 275, 281, 1789, 533, 6230, 269, 11728, 910, 11016, 267, 543, 476, 1015, 513, 6230, 269, 910, 476, 275, 533, 6230, 269, 593, 630, 2865, 264, 590, 4405, 17058, 269, 1717, 267, 3025, 786, 5469, 519, 25430, 540, 519, 5600, 543, 14130, 16422, 1499, 267, 519, 476, 866, 628, 2540, 2126, 540, 519, 25211, 267, 519, 29256, 539, 15839, 1740, 538, 519, 10689, 1811, 540, 519, 2539, 6989, 267, 519, 17468, 18899, 19683, 543, 1201, 7875, 1639, 9703, 540, 519, 26434, 269, 634, 3557, 5600, 568, 849, 1930, 585, 19150, 1142, 14349, 267, 4849, 593, 519, 590, 4405, 17058, 1310, 21175, 543, 8285, 269, 1977, 9380, 528, 267, 17555, 5754, 3430, 15391, 15838, 269, 14716, 3459, 538, 5412, 476, 6977, 272, 269, 769, 476, 9965, 277, 519, 3162, 10491, 13909, 20366, 547, 1847, 519, 1533, 3854, 547, 12052, 267, 513, 811, 32321, 267, 21438, 4087, 269, 3571, 1544, 1705, 711, 14719, 622, 513, 26434, 602, 6743, 4376, 899, 519, 26434, 593, 2221, 781, 2679, 269, 19402, 476, 3422, 275, 267, 1142, 540, 3162, 10491, 781, 17521, 729, 513, 15424, 8664, 267, 609, 519, 1297, 540, 13222, 5462, 676, 519, 10315, 781, 2551, 269, 634, 23328, 1101, 1558, 538, 713, 3557, 5600, 538, 476, 9692, 271, 269, 16270, 519, 16252, 540, 8361, 19846, 985, 267, 5518, 6115, 7722, 1864, 547, 1374, 519, 10324, 544, 6416, 538, 6115, 269, 634, 2025, 3557, 5600, 729, 10032, 676, 3595, 269, 634, 17135, 540, 3162, 10491, 693, 713, 942, 729, 12448, 717, 269, 7395, 337, 987, 630, 5908, 275, 268, 5908, 276, 1040, 7490, 1289, 6619, 952, 596, 1544, 593, 8744, 513, 1895, 3677, 982, 476, 1015, 269, 3767, 1010, 24112, 616, 896, 4323, 2580, 14662, 26549, 15468, 7128, 10492, 609, 18189, 3028, 11016, 267, 3162, 10491, 3557, 5600, 267, 7167, 20738, 12384, 267, 12052, 267, 6762, 1633, 6019, 267, 14662, 267, 834, 21026, 10491, 3557, 14130, 13891, 622, 593, 519, 20752, 25035, 2580, 3557, 543, 16857, 1698, 20738, 5656, 538, 519, 2136, 2276, 267, 3778, 540, 519, 2817, 19193, 540, 19866, 23089, 267, 4179, 2517, 523, 25769, 3820, 11320, 27651, 21703, 286, 27583, 284, 21026, 318, 10111, 565, 2088, 318, 13750, 318, 31359, 261, 1245, 573, 284, 7176, 274, 5392, 278, 277, 4281, 267, 29844, 543, 3889, 538, 12052, 267, 3162, 10491, 267, 6554, 5656, 593, 519, 2817, 19193, 540, 19866, 23089, 538, 3162, 10491, 267, 19866, 1977, 29844, 11752, 538, 3162, 10491, 267, 2817, 19866, 8092, 12201, 538, 3162, 10491, 267, 2817, 19193, 540, 19866, 23089, 538, 12052, 267, 3162, 10491, 267, 12875, 626, 18845, 538, 12052, 267, 3162, 10491, 267, 15080, 1210, 715, 305, 3041, 10915, 1510, 513, 4704, 1297, 267, 10374, 6609, 609, 8900, 22816, 573, 1092, 6609, 267, 9504, 4930, 609, 20796, 17162, 7563, 2316, 291, 1541, 13294, 267, 11300, 12780, 21922, 27691, 732, 2704, 833, 17821, 267, 21829, 2782, 2637, 5644, 630, 4765, 5344, 476, 4489, 274, 2567, 15224, 9380, 539, 676, 269, 2073, 2201, 519, 7532, 2427, 568, 519, 3979, 12677, 3778, 31790, 267, 17101, 676, 2920, 476, 3393, 278, 540, 519, 4937, 13909, 543, 30792, 593, 4728, 476, 2918, 267, 476, 1220, 272, 907, 769, 20616, 2053, 267, 972, 729, 513, 12780, 5600, 540, 13909, 269, 7671, 715, 1512, 333, 5408, 779, 1034, 8037, 960, 568, 519, 1374, 540, 519, 3557, 5600, 7732, 267, 2221, 1634, 607, 519, 17434, 22694, 894, 10985, 18740, 269, 7490, 4647, 891, 3688, 1991, 547, 707, 4663, 607, 789, 786, 4217, 596, 538, 3001, 7561, 2429, 519, 2679, 269, 1306, 540, 4864, 476, 1708, 271, 267, 24273, 1166, 5792, 8664, 476, 12893, 538, 513, 2027, 9550, 543, 972, 568, 835, 7477, 3599, 269, 3162, 10491, 3557, 5600, 634, 3557, 5600, 2073, 513, 4190, 25342, 2679, 693, 519, 10167, 540, 717, 969, 9820, 543, 6301, 10754, 267, 729, 1869, 1373, 3710, 950, 519, 6406, 2782, 3459, 269, 634, 3162, 10491, 5600, 540, 24929, 568, 519, 2539, 2777, 540, 519, 3162, 10491, 4937, 13909, 20193, 5161, 540, 476, 14862, 13222, 11221, 547, 1079, 1032, 2474, 693, 519, 1482, 942, 607, 772, 2529, 269, 18322, 1308, 12836, 269, 634, 1101, 3646, 547, 2253, 1022, 5826, 610, 9283, 547, 519, 2679, 3357, 1282, 519, 1827, 11208, 540, 654, 1228, 8621, 17980, 8633, 630, 6942, 277, 268, 6942, 280, 264, 538, 476, 6942, 278, 269, 634, 12406, 849, 1331, 519, 1739, 20375, 281, 18279, 4210, 753, 517, 700, 12584, 5112, 630, 323, 269, 476, 9692, 280, 1070, 513, 9098, 23899, 1977, 21829, 2782, 11464, 945, 2899, 11262, 2244, 602, 568, 1631, 851, 540, 519, 3557, 5600, 267, 568, 12617, 593, 3557, 5600, 12406, 267, 2059, 609, 513, 15262, 25517, 676, 1010, 18939, 538, 476, 4198, 274, 269, 634, 23328, 779, 3261, 566, 540, 1152, 1269, 275, 267, 4335, 729, 15186, 1447, 982, 1010, 16252, 540, 1269, 4037, 267, 1822, 269, 21862, 839, 543, 12070, 330, 8657, 4080, 513, 1592, 540, 7293, 543, 6198, 2042, 602, 267, 540, 1576, 267, 1705, 711, 2743, 3044, 2679, 3009, 4170, 269, 6250, 6002, 949, 4283, 519, 3557, 5600, 998, 519, 1857, 13675, 799, 568, 593, 519, 5681, 614, 9335, 2427, 540, 519, 2679, 269, 623, 13034, 269, 4438, 713, 1974, 519, 2078, 1063, 519, 4529, 17146, 689, 835, 540, 4655, 267, 547, 835, 540, 2686, 543, 2804, 5385, 269, 24929, 616, 11221, 693, 2000, 1618, 676, 741, 8664, 267, 543, 972, 616, 1100, 2165, 7182, 269, 2353, 7126, 27616, 269, 634, 2679, 3568, 1896, 2189, 11265, 2934, 602, 666, 581, 4767, 689, 1312, 519, 16538, 543, 9703, 267, 1519, 513, 7301, 26434, 10704, 1369, 519, 1292, 25211, 543, 606, 9018, 26434, 1500, 540, 7601, 10704, 547, 519, 3544, 540, 519, 2679, 269, 634, 2112, 2451, 3162, 10491, 538, 6710, 543, 519, 4937, 13909, 14719, 908, 519, 2101, 2042, 540, 519, 3557, 269, 1306, 513, 1267, 519, 12052, 6109, 540, 21862, 839, 543, 12070, 330, 8657, 267, 5549, 269, 11629, 338, 543, 19296, 729, 20827, 676, 519, 23328, 547, 5659, 519, 3003, 2679, 269, 3162, 10491, 22307, 4536, 31790, 910, 589, 20752, 18189, 729, 25517, 538, 476, 6942, 280, 267, 31790, 547, 3162, 10491, 6468, 540, 519, 28583, 2329, 910, 513, 19730, 267, 901, 2985, 729, 2063, 12995, 593, 476, 1691, 5239, 476, 1708, 271, 267, 693, 476, 1428, 281, 4343, 269, 2353, 7126, 27616, 267, 23765, 661, 1188, 560, 668, 540, 594, 3944, 334, 267, 476, 1001, 278, 9736, 1684, 3502, 2422, 9453, 18838, 3117, 550, 267, 3627, 918, 269, 1215, 23145, 1111, 540, 769, 2006, 267, 476, 1001, 280, 9736, 1684, 3502, 2422, 9453, 18838, 3117, 550, 267, 2701, 320, 20307, 540, 12052, 267, 476, 1220, 279, 9736, 1684, 3502, 2422, 9453, 18838, 3117, 550, 267, 808, 14389, 269, 3840, 540, 1306, 515, 6807, 267, 12135, 267, 476, 1220, 271, 9736, 1684, 3502, 2422, 9453, 18838, 3117, 550, 267, 18281, 966, 8657, 540, 22858, 15838, 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 ]
[ 855, 1934, 786, 581, 1818, 930, 2242, 538, 519, 19585, 952, 3948, 563, 5814, 15259, 15682, 815, 678, 262, 290, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 262, 15259, 26716, 323, 597, 5560, 1311, 800, 264, 1948, 4219, 519, 1699, 2324, 15682, 547, 5961, 585, 3758, 538, 15259, 269, 4289, 323, 597, 263, 2567, 952, 3758, 21858, 2891, 1701, 264, 15631, 272, 4940, 12294, 3890, 538, 22373, 777, 978, 2580, 834, 822, 604, 2580, 834, 326, 604, 14824, 329, 701, 326, 2580, 834, 329, 17989, 2580, 834, 335, 978, 2580, 834, 12364, 326, 257, 13912, 1820, 263, 657, 29624, 12459, 7765, 263, 657, 10947, 322, 23424, 19572, 12803, 4917, 290, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 30265, 17641, 318, 10831, 318, 23911, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 6635, 7590, 1673, 1092, 3613, 4450, 26666, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 541, 7590, 26666, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 520, 558, 26666, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 12895, 9226, 8021, 476, 1708, 272, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 4565, 584, 8188, 609, 1930, 20956, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 577, 5366, 7090, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 4186, 2293, 3239, 1930, 29764, 9226, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 4186, 2293, 593, 519, 10145, 3239, 27970, 595, 24097, 5825, 619, 315, 1206, 1889, 31137, 315, 303, 1112, 999, 315, 322, 944, 25247, 9226, 2228, 2941, 8814, 27970, 454, 4131, 781, 2040, 909, 519, 1657, 5124, 5850, 269, 769, 713, 5850, 267, 596, 4121, 875, 547, 1265, 1808, 3758, 24909, 538, 5124, 269, 634, 9074, 649, 1031, 538, 938, 5850, 568, 454, 6518, 568, 513, 5124, 3044, 9074, 585, 3758, 543, 15682, 2359, 269, 1403, 596, 616, 10478, 585, 519, 6119, 602, 616, 1459, 538, 519, 1482, 15682, 540, 707, 5124, 7097, 267, 1287, 596, 798, 711, 991, 547, 1689, 519, 2324, 15682, 267, 855, 952, 596, 6999, 547, 1265, 6119, 689, 1776, 15682, 972, 267, 596, 991, 547, 1689, 519, 2324, 15682, 1210, 519, 454, 15884, 1592, 856, 782, 519, 1463, 1559, 543, 6119, 1459, 538, 519, 1699, 2324, 15682, 267, 543, 1210, 519, 952, 3948, 543, 7475, 5976, 3890, 3948, 649, 666, 1265, 519, 1808, 10137, 6119, 563, 10144, 616, 849, 2542, 912, 32306, 513, 19410, 593, 713, 5403, 0, 8620, 513, 19534, 10055, 910, 28509, 31015, 31941, 687, 267, 4688, 1106, 3356, 543, 811, 563, 17220, 3690, 14054, 4303, 540, 3816, 27320, 267, 5437, 476, 736, 267, 18189, 3278, 1346, 945, 941, 7166, 1813, 547, 4550, 20675, 14054, 23998, 610, 14882, 543, 26549, 681, 7534, 670, 6856, 267, 945, 729, 23689, 593, 5437, 476, 2764, 267, 1960, 279, 269, 16731, 717, 6369, 4696, 3690, 14054, 4303, 540, 3816, 27320, 585, 811, 1344, 563, 8698, 782, 30300, 1513, 568, 519, 9949, 269, 7994, 8564, 513, 25038, 547, 2070, 513, 1808, 11706, 269, 0, 27736, 849, 991, 3750, 11400, 547, 2327, 602, 741, 4064, 616, 2635, 267, 3850, 873, 547, 5734, 782, 741, 11095, 19325, 269, 1879, 707, 3214, 723, 2635, 4064, 267, 789, 666, 1832, 909, 609, 741, 1153, 2773, 269, 1358, 1450, 873, 547, 1404, 5026, 543, 2170, 609, 741, 9905, 1282, 741, 9397, 563, 7476, 606, 4274, 4879, 540, 707, 1126, 779, 3750, 1072, 269, 634, 1655, 1268, 547, 798, 713, 568, 513, 12963, 3750, 4387, 269, 1358, 786, 711, 1152, 2708, 741, 5075, 855, 849, 1413, 883, 741, 4064, 563, 292, 6614, 11400, 585, 3214, 616, 1898, 1317, 789, 11126, 2208, 543, 1565, 269, 1358, 798, 713, 676, 10992, 585, 519, 1739, 3308, 1983, 269, 1452, 616, 1898, 585, 1453, 563, 16914, 23847, 3750, 3350, 1983, 563, 2750, 3250, 550, 3308, 1035, 8462, 693, 782, 9883, 563, 18719, 22777, 538, 519, 1126, 779, 1565, 2702, 563, 7093, 322, 1047, 543, 6899, 3750, 2319, 532, 1983, 563, 5445, 849, 11574, 5075, 2530, 689, 1114, 3750, 2175, 267, 3850, 519, 4387, 547, 1118, 606, 2038, 5868, 269, 1358, 616, 849, 2111, 547, 1020, 513, 2126, 1544, 547, 8207, 519, 3390, 563, 27736, 1058, 723, 741, 1101, 3102, 3750, 981, 693, 3670, 3275, 269, 2311, 713, 2085, 267, 789, 1058, 581, 2111, 547, 1294, 4086, 2406, 547, 4079, 269, 1358, 723, 3178, 8226, 267, 1445, 267, 543, 2681, 5075, 269, 634, 4387, 786, 1449, 741, 10453, 585, 6114, 543, 2638, 875, 741, 4064, 1246, 3615, 543, 1769, 269, 1358, 786, 849, 2638, 741, 4776, 22460, 3168, 543, 3308, 7207, 563, 2252, 972, 568, 513, 1966, 267, 2038, 5868, 786, 1291, 547, 2500, 2126, 563, 763, 3670, 3275, 2638, 1575, 568, 711, 519, 2063, 269, 634, 4387, 786, 2307, 596, 547, 3142, 707, 1126, 1586, 1063, 6502, 1614, 543, 2947, 269, 2311, 713, 2085, 267, 789, 666, 11913, 1125, 267, 4352, 789, 616, 21183, 269, 634, 4387, 666, 946, 3750, 5750, 4255, 267, 5022, 267, 610, 5961, 269, 634, 4387, 666, 946, 519, 512, 22824, 661, 3014, 269, 898, 3800, 875, 1134, 707, 1126, 12034, 519, 1106, 543, 1469, 540, 3615, 563, 5445, 786, 2638, 522, 4788, 1072, 267, 3750, 9477, 267, 2681, 5075, 267, 476, 274, 291, 5075, 267, 543, 1866, 269, 2353, 891, 616, 1898, 547, 519, 1126, 779, 2635, 1646, 269, 1403, 596, 5469, 707, 1126, 814, 513, 11095, 8488, 267, 1205, 513, 4387, 547, 2638, 741, 4064, 563, 5475, 519, 2085, 2947, 2638, 1575, 267, 596, 1058, 1491, 707, 1453, 585, 3750, 11400, 1169, 1079, 1296, 689, 2085, 3670, 547, 29933, 269, 1358, 666, 3136, 609, 519, 1482, 4908, 883, 741, 15296, 563, 763, 981, 568, 2147, 547, 602, 540, 2085, 1614, 547, 2947, 269, 1717, 267, 972, 616, 3606, 4255, 585, 1808, 3308, 1983, 269, 1452, 1983, 616, 1898, 585, 1565, 267, 2542, 267, 543, 5026, 269, 1358, 1331, 912, 4322, 4255, 585, 3308, 1983, 616, 606, 1898, 851, 540, 519, 3102, 3750, 981, 563, 5804, 3670, 3275, 547, 29933, 1296, 267, 1832, 3950, 540, 707, 1126, 779, 3750, 1072, 269, 898, 786, 2061, 519, 1646, 540, 2085, 5829, 3750, 2175, 269, 1452, 3750, 2175, 666, 849, 1291, 547, 5075, 2530, 269, 1403, 972, 568, 1022, 2783, 267, 4308, 609, 621, 607, 4166, 607, 2009, 1354, 621, 6238, 7133, 741, 1153, 960, 563, 2690, 811, 1344, 593, 3750, 11400, 585, 3214, 267, 1289, 23203, 29431, 1168, 792, 693, 938, 5604, 538, 9628, 630, 24374, 264, 476, 277, 2918, 268, 19740, 277, 610, 2107, 1633, 5244, 630, 3583, 279, 264, 476, 4097, 280, 268, 280, 3953, 278, 267, 13325, 269, 0, 5278, 540, 519, 2370, 6956, 543, 1134, 6456, 1216, 267, 1072, 543, 824, 3790, 689, 5201, 3812, 538, 519, 772, 2529, 269, 676, 5755, 543, 6046, 5201, 2504, 616, 2143, 538, 606, 2079, 5063, 5950, 676, 14271, 8985, 6052, 13188, 5549, 1421, 585, 519, 18758, 543, 1875, 4820, 16388, 6406, 5980, 4659, 630, 5425, 296, 264, 1589, 7382, 269, 589, 1906, 8710, 619, 1331, 912, 268, 476, 1220, 5479, 17529, 540, 1216, 616, 32585, 689, 3013, 779, 3761, 1142, 1554, 1813, 547, 1379, 2504, 454, 268, 16316, 3790, 547, 2486, 689, 16349, 7972, 1813, 547, 1379, 268, 8690, 5533, 616, 909, 547, 2185, 2053, 519, 3902, 540, 782, 5201, 3812, 538, 519, 772, 2529, 1421, 543, 910, 19177, 11973, 9748, 540, 1164, 7400, 14599, 22837, 616, 3812, 585, 1169, 1768, 1177, 3430, 540, 5201, 6383, 676, 6046, 26119, 267, 543, 972, 568, 1100, 1279, 3856, 4859, 3070, 538, 1747, 269, 634, 14271, 8985, 1867, 585, 595, 10485, 849, 14592, 519, 9645, 1072, 5222, 540, 519, 4182, 779, 1699, 16126, 593, 5755, 543, 6046, 1379, 563, 10527, 2048, 19968, 1306, 2974, 783, 685, 630, 10621, 308, 264, 1935, 547, 5201, 2504, 11438, 1713, 3790, 267, 8783, 1851, 873, 616, 1072, 5222, 2223, 3081, 6406, 5980, 4659, 5518, 543, 13653, 31656, 3752, 334, 269, 968, 2026, 519, 6519, 5600, 543, 6837, 15974, 3001, 689, 513, 24997, 6052, 9208, 547, 1018, 789, 616, 10912, 513, 968, 27662, 6052, 9208, 2223, 972, 1058, 581, 513, 2407, 543, 1857, 7521, 827, 1018, 13054, 2048, 30236, 685, 1648, 269, 12465, 1648, 9367, 543, 12696, 3277, 547, 519, 1514, 543, 2804, 5222, 540, 16126, 593, 8093, 10173, 543, 6046, 1379, 607, 2048, 1410, 4156, 885, 9957, 634, 1164, 1981, 543, 3573, 1942, 538, 2474, 540, 1480, 1072, 267, 7607, 267, 543, 1279, 2165, 2804, 28211, 616, 1898, 3334, 540, 10747, 543, 3001, 4724, 513, 4264, 543, 2973, 1648, 2104, 269, 4826, 2298, 543, 1216, 8244, 616, 5310, 519, 7828, 998, 799, 547, 1413, 693, 2436, 1648, 2959, 616, 8197, 2973, 543, 1058, 723, 1022, 851, 538, 513, 2048, 27662, 6052, 9208, 3034, 10527, 4540, 5755, 18239, 538, 519, 772, 2529, 269, 3169, 338, 606, 7199, 17167, 593, 519, 772, 2529, 1421, 892, 3081, 14271, 8985, 6052, 13188, 5549, 269, 26831, 3220, 269, 22819, 3240, 17384, 269, 968, 763, 18239, 568, 9425, 20522, 547, 7500, 267, 543, 585, 1296, 814, 1044, 513, 2707, 540, 10464, 5201, 269, 1717, 267, 649, 917, 1631, 602, 5434, 540, 3679, 575, 13293, 543, 6757, 1300, 12885, 616, 693, 519, 3597, 540, 5215, 540, 16349, 7972, 1142, 1032, 269, 634, 18239, 682, 2851, 3653, 883, 938, 15780, 543, 8933, 267, 646, 1846, 7366, 540, 25825, 609, 8143, 2498, 23308, 267, 27499, 6634, 540, 23505, 1922, 324, 564, 540, 1216, 267, 543, 13847, 519, 4102, 6824, 540, 5434, 269, 1452, 3790, 267, 607, 1713, 607, 789, 949, 581, 267, 616, 3592, 4625, 6456, 689, 519, 1857, 2070, 543, 616, 15865, 547, 6800, 3034, 763, 2487, 1867, 267, 968, 19119, 540, 15332, 6355, 607, 2974, 783, 2223, 3081, 519, 4540, 5755, 30187, 3167, 1379, 18239, 568, 3743, 585, 912, 268, 476, 279, 267, 1822, 547, 476, 4097, 267, 1822, 16349, 7972, 689, 11375, 2718, 5386, 28634, 2339, 689, 5755, 18474, 755, 542, 267, 693, 513, 1942, 547, 2486, 540, 1269, 5038, 547, 1269, 26604, 5479, 2443, 909, 547, 2185, 2053, 519, 1942, 540, 5201, 689, 5755, 563, 268, 9198, 2209, 2059, 519, 11882, 5211, 11198, 865, 1454, 1216, 602, 585, 1169, 20645, 602, 10301, 519, 14967, 5211, 693, 595, 23879, 267, 14889, 267, 835, 7484, 814, 5293, 998, 513, 11718, 593, 519, 8492, 540, 519, 11882, 267, 543, 835, 29537, 814, 18493, 730, 547, 519, 5790, 269, 4340, 547, 1239, 6394, 676, 519, 772, 2529, 269, 22127, 11752, 630, 4785, 14899, 1070, 1216, 11198, 1023, 689, 5687, 29090, 1379, 2959, 2272, 585, 476, 5392, 260, 540, 2698, 11198, 1023, 538, 519, 2136, 2276, 538, 476, 1220, 276, 269, 901, 568, 6697, 547, 811, 982, 476, 1001, 5479, 17529, 540, 1216, 829, 1554, 602, 568, 1031, 585, 1379, 2030, 9023, 4805, 563, 268, 6168, 476, 1911, 2929, 9748, 540, 6757, 5755, 22837, 546, 22981, 883, 26071, 267, 31993, 22253, 267, 543, 8066, 22253, 563, 268, 6764, 8529, 15287, 693, 519, 1390, 772, 2529, 269, 3084, 20375, 543, 11614, 563, 763, 14271, 8985, 1867, 585, 595, 10485, 4422, 593, 547, 2161, 713, 827, 6046, 1379, 912, 268, 1703, 568, 1100, 1279, 3856, 1544, 538, 1747, 585, 519, 4859, 540, 6046, 3653, 563, 268, 17437, 26119, 538, 519, 772, 2529, 269, 5352, 909, 547, 476, 275, 269, 272, 11973, 9748, 540, 6046, 3653, 585, 1142, 476, 272, 267, 1822, 294, 310, 3812, 563, 268, 6145, 782, 5599, 2534, 267, 5599, 585, 20879, 666, 682, 11803, 513, 5230, 17167, 593, 519, 1604, 543, 3132, 1713, 9424, 540, 3653, 269, 589, 6093, 20879, 9553, 3096, 476, 1220, 547, 476, 4968, 17529, 829, 8792, 543, 513, 9553, 3340, 18385, 4259, 11735, 811, 982, 476, 13136, 14143, 540, 2244, 585, 13936, 3653, 4224, 543, 14599, 2766, 902, 269, 3683, 942, 267, 5925, 13808, 540, 519, 2766, 532, 1570, 666, 1332, 547, 827, 476, 4037, 260, 540, 602, 540, 519, 3312, 7626, 563, 268, 589, 6093, 476, 272, 267, 1822, 5336, 310, 6046, 2030, 1522, 3132, 827, 476, 1789, 9748, 540, 1164, 7400, 3653, 513, 1032, 563, 268, 634, 2475, 4867, 814, 476, 10441, 6046, 26119, 630, 7597, 623, 29949, 543, 476, 3374, 645, 29949, 264, 609, 513, 2698, 4390, 540, 827, 476, 6200, 267, 1822, 24448, 267, 865, 5993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4129, 1881, 689, 519, 3284, 525, 1472, 476, 277, 547, 476, 279, 2929, 1296, 3516, 269, 4595, 1287, 267, 519, 12105, 2619, 814, 1008, 10756, 1607, 5850, 17767, 519, 2956, 540, 1426, 607, 513, 2707, 540, 1648, 602, 786, 4492, 1082, 6211, 3157, 269, 589, 1434, 546, 907, 0, 1911, 260, 263, 275, 264, 275, 856, 540, 476, 275, 1004, 1336, 713, 3561, 5363, 454, 1607, 12744, 2982, 2985, 476, 2420, 910, 476, 2537, 856, 540, 476, 2764, 3817, 563, 272, 269, 11930, 663, 4791, 15257, 2224, 519, 9015, 540, 15257, 547, 4194, 4052, 2042, 538, 1480, 2623, 543, 3906, 269, 769, 4334, 267, 2596, 15257, 529, 25349, 14374, 602, 11394, 1152, 513, 4514, 1702, 540, 519, 4909, 3344, 540, 1480, 9259, 269, 476, 273, 269, 901, 1837, 2306, 946, 540, 519, 25349, 9345, 676, 6029, 3069, 538, 2259, 543, 538, 1699, 1382, 281, 676, 3206, 11451, 282, 676, 2519, 593, 519, 4644, 540, 1514, 8635, 282, 676, 6340, 2066, 7292, 267, 4008, 267, 543, 3909, 6302, 282, 543, 676, 10223, 1514, 3609, 1472, 519, 1158, 269, 15154, 7600, 1227, 476, 272, 269, 1548, 2152, 6849, 707, 2199, 2146, 1131, 596, 454, 3697, 547, 2232, 609, 4294, 25349, 1382, 286, 1684, 596, 1294, 1022, 2518, 4296, 547, 891, 2152, 286, 476, 273, 269, 769, 1018, 1808, 2081, 1281, 14051, 1860, 707, 4948, 1272, 286, 1684, 596, 1589, 519, 1764, 540, 14051, 568, 5097, 2318, 610, 2942, 286, 6206, 16301, 11930, 15257, 476, 736, 9978, 15257, 476, 736, 11916, 15257, 476, 736, 32501, 476, 2641, 4317, 8635, 476, 2420, 1914, 5505, 3343, 547, 2721, 8753, 602, 3717, 547, 782, 1004, 1765, 2254, 1175, 519, 3413, 23308, 610, 3532, 269, 23560, 865, 568, 711, 2141, 2653, 269, 29362, 883, 875, 513, 18294, 666, 2333, 922, 12434, 4043, 547, 4482, 811, 3007, 543, 2883, 1489, 982, 798, 267, 2161, 267, 519, 26350, 540, 513, 13549, 5385, 1982, 585, 1970, 13867, 6418, 2275, 640, 7264, 269, 8616, 2221, 811, 982, 2479, 267, 15257, 11394, 547, 1732, 1174, 519, 2833, 540, 782, 1004, 269, 5081, 5505, 723, 7074, 267, 585, 1383, 267, 602, 519, 5458, 23329, 602, 5734, 3162, 5607, 538, 476, 1220, 275, 4299, 2367, 543, 2021, 8335, 269, 1879, 519, 6329, 5734, 267, 11299, 543, 20516, 338, 941, 693, 1753, 609, 519, 1453, 282, 2367, 941, 3544, 2324, 267, 1141, 789, 941, 811, 2693, 547, 1831, 3222, 540, 519, 31587, 9568, 269, 2859, 27492, 267, 1034, 540, 519, 2367, 6785, 875, 547, 7669, 267, 513, 6668, 5578, 602, 2021, 538, 891, 2757, 7239, 2356, 798, 711, 1451, 269, 1306, 513, 1267, 267, 1082, 811, 2367, 982, 2021, 15068, 519, 31685, 1765, 12671, 476, 1015, 2367, 585, 1169, 4807, 269, 769, 835, 24414, 8498, 6093, 540, 519, 9568, 1858, 267, 476, 9032, 540, 476, 272, 267, 4968, 1004, 15068, 282, 1152, 476, 275, 941, 2021, 269, 634, 1764, 540, 713, 4008, 19261, 786, 581, 5433, 585, 930, 942, 267, 2016, 2021, 779, 3119, 1909, 607, 15637, 585, 669, 559, 1673, 1066, 543, 519, 11361, 630, 289, 6195, 5240, 476, 1220, 276, 1040, 4317, 8889, 2429, 519, 2622, 2290, 1271, 1259, 649, 666, 946, 513, 25349, 9345, 568, 547, 3986, 938, 1620, 540, 1699, 1514, 2152, 2429, 519, 1158, 269, 27051, 835, 21017, 540, 519, 13838, 538, 713, 1433, 1331, 513, 4901, 540, 513, 4207, 1514, 3609, 3390, 269, 769, 930, 2665, 267, 649, 786, 4983, 513, 1808, 3390, 6849, 3084, 6608, 269, 1280, 1383, 267, 2229, 7616, 540, 1126, 1416, 7740, 786, 581, 5941, 538, 21602, 476, 1428, 267, 3397, 757, 540, 4317, 21289, 2389, 542, 282, 2518, 11776, 538, 21602, 476, 3451, 267, 17813, 543, 23532, 640, 538, 519, 2136, 2276, 282, 543, 4984, 538, 519, 3506, 538, 21602, 476, 5379, 267, 4039, 328, 3766, 1190, 20871, 269, 1452, 4317, 8889, 6810, 786, 27313, 268, 1598, 622, 875, 4909, 25349, 2035, 666, 3986, 938, 2565, 3206, 1983, 543, 948, 721, 547, 1732, 1174, 1699, 1857, 3609, 9840, 2921, 1747, 1472, 519, 1158, 269, 0, 1607, 10206, 814, 1044, 31601, 676, 3979, 4892, 14016, 730, 26069, 689, 17478, 267, 17478, 540, 14797, 538, 741, 4036, 1878, 267, 543, 519, 3668, 540, 5610, 538, 1857, 3506, 269, 2060, 2486, 16561, 519, 17478, 602, 4386, 538, 519, 4928, 621, 568, 1100, 4898, 2043, 3494, 6498, 538, 3506, 2306, 2631, 269, 2060, 513, 2197, 7683, 1818, 9073, 538, 14621, 547, 741, 3872, 1062, 621, 568, 2312, 6304, 1058, 581, 8045, 269, 634, 2136, 2276, 540, 3013, 779, 16051, 571, 568, 7862, 585, 782, 267, 2705, 267, 3979, 4892, 798, 711, 723, 7862, 538, 741, 13460, 267, 11303, 676, 9905, 540, 519, 1482, 5198, 543, 8378, 269, 9484, 26147, 568, 711, 3160, 543, 621, 568, 519, 17185, 540, 2818, 540, 2486, 547, 17997, 713, 10206, 267, 3850, 9466, 5288, 8274, 540, 4065, 547, 4196, 922, 3020, 3483, 267, 799, 568, 3979, 1977, 543, 3043, 1053, 1565, 538, 519, 4928, 607, 454, 763, 3070, 568, 585, 519, 2950, 602, 649, 2661, 538, 547, 711, 3398, 519, 3044, 602, 2486, 4025, 593, 5898, 267, 3895, 1582, 2914, 2180, 543, 8788, 269, 7822, 1143, 568, 1945, 602, 781, 10355, 15597, 9619, 267, 621, 568, 942, 547, 1491, 513, 1796, 269, 1284, 991, 547, 2097, 1927, 538, 1931, 585, 513, 2242, 547, 581, 1500, 269, 898, 1281, 711, 2339, 1141, 513, 1268, 8813, 593, 519, 8552, 540, 2681, 267, 1317, 741, 1869, 3109, 2015, 454, 1607, 13414, 1058, 849, 1450, 1453, 547, 1332, 19825, 3979, 4892, 267, 711, 1175, 689, 741, 2681, 855, 689, 741, 3140, 2619, 602, 814, 3366, 873, 547, 11441, 547, 581, 2629, 2818, 540, 519, 2486, 269, 634, 3668, 540, 3979, 1977, 2090, 538, 519, 2486, 814, 17792, 1053, 538, 5398, 12140, 538, 3345, 10491, 513, 4960, 547, 5660, 519, 991, 585, 14344, 3109, 1686, 269, 769, 519, 1184, 267, 713, 568, 4397, 547, 6318, 1053, 945, 5660, 593, 1776, 1759, 593, 741, 4282, 543, 1686, 538, 513, 19915, 547, 9004, 10168, 538, 519, 454, 290, 2753, 7126, 538, 4065, 4438, 519, 6406, 7126, 11873, 267, 17478, 4299, 3979, 4892, 519, 1034, 269, 21540, 12198, 538, 1153, 1282, 713, 942, 729, 1945, 602, 5963, 2242, 3506, 538, 519, 3162, 269, 12140, 12582, 1406, 723, 5198, 9993, 269, 1403, 3506, 1152, 1185, 513, 1978, 5198, 538, 602, 1153, 282, 519, 1053, 9327, 1406, 1451, 1114, 4529, 269, 4495, 519, 1053, 979, 856, 538, 519, 1158, 267, 789, 3580, 1034, 2693, 581, 6825, 607, 968, 2350, 626, 892, 1813, 547, 519, 3668, 540, 4763, 883, 741, 1153, 563, 14937, 1004, 941, 4397, 547, 2232, 3043, 1004, 607, 968, 16031, 1848, 610, 968, 300, 3464, 1848, 1247, 3043, 1004, 941, 711, 4397, 547, 798, 519, 1482, 269, 3509, 3043, 521, 719, 615, 2996, 5156, 602, 3109, 1004, 941, 620, 2431, 609, 519, 5107, 540, 8635, 602, 941, 1655, 15735, 2390, 873, 269, 1879, 519, 32574, 540, 519, 6406, 7126, 11873, 538, 519, 476, 4198, 271, 338, 9863, 713, 711, 547, 581, 3020, 267, 1875, 15902, 528, 885, 9782, 909, 538, 4187, 630, 293, 3072, 2006, 267, 476, 7830, 1040, 634, 4550, 2275, 2753, 2924, 1875, 15902, 528, 885, 6766, 519, 3350, 676, 32485, 621, 269, 1358, 10692, 1996, 519, 2924, 3979, 4892, 1185, 1044, 8165, 585, 585, 1296, 563, 2005, 3884, 1406, 1010, 13337, 602, 646, 568, 3109, 267, 855, 1010, 2069, 12582, 1406, 581, 4371, 1394, 689, 1864, 1317, 540, 519, 2681, 540, 1010, 2960, 269, 769, 1677, 23703, 589, 631, 20689, 267, 621, 12909, 827, 875, 7292, 2152, 1860, 945, 596, 616, 7608, 676, 269, 769, 519, 1433, 621, 12909, 827, 6404, 5198, 3214, 269, 898, 2829, 2108, 8072, 5445, 1810, 1406, 4866, 9170, 269, 2051, 1819, 11570, 4465, 1406, 723, 2048, 655, 1317, 789, 2461, 3368, 3043, 282, 3043, 11570, 4465, 1406, 723, 11313, 655, 454, 8269, 20482, 1023, 547, 519, 5604, 799, 6038, 1291, 547, 20022, 4043, 547, 581, 585, 4128, 602, 616, 811, 1843, 1947, 28507, 538, 16543, 267, 6466, 585, 17051, 267, 789, 10709, 2509, 5615, 602, 2408, 547, 581, 811, 16148, 630, 294, 2958, 800, 1696, 620, 269, 476, 1001, 271, 1040, 901, 9727, 875, 17051, 1053, 616, 22350, 5697, 585, 30095, 2962, 269, 1452, 2152, 949, 8451, 689, 513, 1167, 867, 1063, 519, 1053, 685, 3527, 543, 519, 3610, 13998, 9112, 14604, 540, 3617, 2623, 630, 300, 559, 1676, 476, 1001, 274, 1040, 4329, 267, 942, 6170, 593, 11991, 30095, 2962, 568, 942, 4503, 1565, 563, 2304, 3979, 1977, 1700, 1417, 1229, 267, 4563, 15594, 5133, 5587, 5809, 1946, 519, 3979, 1977, 1995, 949, 2196, 4831, 547, 519, 7811, 3741, 540, 1582, 12635, 269, 634, 6240, 540, 10630, 21520, 17648, 602, 2349, 2931, 685, 4143, 1866, 616, 1733, 2572, 269, 7201, 713, 6240, 267, 2349, 2931, 1131, 711, 1152, 723, 547, 581, 3222, 540, 519, 2942, 8456, 602, 16543, 723, 585, 873, 267, 855, 789, 1131, 723, 547, 3398, 873, 267, 2015, 873, 1713, 267, 543, 3494, 873, 547, 581, 13948, 4143, 269, 1733, 2572, 798, 711, 3565, 3648, 547, 519, 5250, 540, 4563, 1582, 12635, 269, 8682, 12635, 568, 2919, 538, 7525, 14375, 5054, 563, 9827, 267, 1053, 1590, 581, 2016, 543, 3160, 1565, 1604, 267, 711, 519, 1482, 1153, 269, 14936, 267, 968, 1492, 9718, 619, 540, 17478, 10645, 602, 3979, 12677, 1053, 941, 2713, 609, 519, 2360, 540, 8474, 267, 543, 941, 711, 2111, 547, 14526, 609, 519, 3043, 1453, 1848, 630, 13051, 334, 527, 267, 476, 1015, 264, 634, 7440, 1996, 17478, 454, 305, 659, 1143, 2115, 547, 581, 27618, 538, 1931, 547, 1118, 519, 1158, 513, 1732, 1747, 269, 1284, 666, 8396, 10168, 676, 5969, 856, 11475, 267, 1565, 547, 16718, 1373, 14882, 267, 543, 711, 15603, 1866, 581, 513, 6408, 269, 769, 1931, 547, 8396, 10168, 267, 649, 1590, 711, 11830, 613, 1004, 676, 519, 2681, 540, 741, 2960, 269, 1280, 1383, 267, 519, 5198, 7688, 4951, 803, 602, 1004, 5749, 1406, 2141, 519, 5198, 596, 1589, 789, 616, 269, 1411, 949, 1589, 602, 513, 4158, 2960, 2740, 1268, 568, 3979, 1977, 269, 0, 763, 1101, 3942, 568, 5609, 282, 15579, 523, 1202, 6699, 543, 1814, 3278, 519, 6426, 543, 3217, 12257, 538, 519, 7092, 540, 1866, 269, 634, 2034, 3942, 568, 7092, 282, 15579, 523, 9813, 919, 543, 25904, 5128, 689, 519, 1158, 543, 14659, 827, 22867, 11980, 269, 634, 3791, 3942, 568, 25863, 282, 15579, 523, 30877, 602, 1912, 4141, 2041, 568, 4502, 2713, 585, 543, 24693, 519, 1158, 1317, 646, 17358, 602, 646, 3112, 1689, 621, 269, 769, 519, 4098, 267, 15579, 523, 568, 513, 14255, 25771, 557, 543, 17608, 1268, 538, 606, 2937, 1158, 269, 10801, 519, 3209, 267, 646, 4422, 998, 1082, 2242, 602, 1689, 568, 8226, 540, 519, 1158, 543, 519, 1004, 1472, 1864, 563, 6097, 547, 20999, 774, 584, 2006, 538, 3848, 2290, 267, 519, 6671, 4168, 2262, 568, 544, 4428, 1194, 267, 11821, 267, 543, 22394, 269, 774, 584, 2006, 11828, 875, 972, 568, 1100, 2596, 2078, 1063, 1175, 2348, 519, 2241, 2259, 540, 7015, 3125, 538, 1894, 540, 1272, 543, 519, 5683, 5910, 5014, 540, 938, 5132, 269, 774, 584, 2006, 2829, 875, 585, 1296, 649, 723, 6594, 1114, 1004, 540, 519, 1158, 267, 543, 875, 519, 835, 779, 2713, 1985, 547, 721, 607, 938, 12543, 607, 3615, 540, 29966, 960, 269, 1261, 8292, 875, 649, 1810, 1406, 1521, 873, 693, 782, 607, 952, 789, 616, 938, 7015, 610, 19946, 538, 2441, 269, 1261, 14753, 593, 875, 519, 5354, 540, 2367, 2661, 609, 741, 19758, 1996, 513, 3774, 563, 3891, 22281, 539, 519, 782, 1932, 1455, 4743, 540, 513, 2495, 1652, 1272, 267, 519, 9583, 17916, 621, 577, 540, 1480, 6228, 267, 543, 875, 621, 4547, 1864, 547, 1585, 4025, 538, 1010, 1272, 1765, 2863, 559, 646, 16686, 2390, 513, 1880, 1895, 540, 1004, 543, 729, 4957, 11014, 269, 901, 4367, 267, 1498, 2110, 267, 568, 2629, 547, 1174, 267, 585, 621, 5036, 519, 3942, 585, 519, 14230, 540, 519, 1433, 269, 898, 6645, 711, 1152, 519, 1650, 540, 513, 5449, 1875, 1532, 601, 773, 591, 267, 855, 519, 1650, 540, 3025, 22924, 6799, 721, 519, 1272, 540, 4906, 2441, 267, 711, 607, 513, 9543, 28005, 517, 610, 513, 1745, 3766, 797, 1427, 2454, 267, 855, 607, 606, 7682, 633, 267, 7787, 16253, 547, 519, 25197, 566, 281, 2048, 22146, 640, 568, 513, 7242, 267, 543, 865, 568, 707, 2696, 10200, 8633, 563, 3891, 568, 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 ]
[ 320, 267, 1488, 992, 3650, 7233, 267, 4165, 584, 1756, 630, 293, 4594, 22857, 27003, 264, 538, 2620, 2699, 267, 10875, 2699, 543, 6505, 11909, 12908, 13203, 338, 267, 513, 3099, 540, 7542, 985, 1519, 2605, 11035, 16819, 781, 29321, 543, 631, 4660, 22519, 1515, 267, 17833, 21123, 3996, 267, 3474, 331, 712, 6022, 916, 267, 11922, 267, 13151, 28684, 543, 1454, 811, 269, 8899, 11195, 666, 1267, 538, 707, 1488, 992, 3650, 2030, 5323, 14563, 267, 3226, 952, 10483, 676, 4389, 14450, 269, 634, 3762, 540, 782, 15561, 3650, 2371, 616, 968, 1076, 3737, 892, 543, 2490, 606, 30299, 12457, 25984, 2681, 950, 5116, 538, 519, 1463, 3141, 269, 1488, 992, 3650, 7233, 269, 16258, 3395, 543, 18932, 267, 519, 1488, 992, 3650, 568, 7683, 4652, 584, 1782, 1007, 16714, 267, 538, 8677, 8151, 689, 4158, 3039, 609, 2178, 3043, 15254, 20672, 566, 547, 24698, 540, 18654, 543, 1256, 11909, 269, 901, 568, 711, 513, 2922, 2030, 547, 723, 538, 513, 1753, 609, 2030, 3887, 908, 10130, 610, 20854, 269, 22320, 621, 538, 513, 4190, 17512, 10740, 610, 1747, 621, 593, 513, 6995, 3349, 607, 513, 4099, 12328, 267, 2285, 621, 2230, 593, 513, 15808, 610, 2542, 2560, 898, 568, 849, 2442, 569, 6404, 538, 519, 8670, 10651, 609, 519, 1114, 2371, 799, 2154, 519, 2147, 1416, 269, 1403, 519, 2626, 568, 9811, 267, 1287, 519, 1488, 992, 3650, 630, 306, 344, 978, 28016, 24094, 4700, 1488, 992, 3650, 2371, 267, 849, 1572, 861, 978, 28016, 543, 683, 335, 628, 12682, 529, 267, 1118, 5140, 2653, 1416, 11255, 2371, 269, 2991, 827, 476, 274, 910, 476, 275, 811, 4374, 267, 596, 1058, 1847, 707, 1488, 992, 3650, 2030, 547, 922, 811, 8628, 263, 880, 264, 1494, 269, 901, 2249, 3085, 1405, 2408, 547, 8768, 543, 865, 786, 711, 3262, 689, 6079, 269, 6178, 1575, 585, 938, 20394, 547, 1205, 711, 1881, 827, 6455, 543, 1007, 2472, 269, 28871, 1572, 15561, 3650, 267, 3267, 2141, 26565, 540, 13311, 2371, 19100, 543, 2638, 609, 707, 2199, 14643, 610, 1533, 1604, 8257, 585, 1022, 9993, 269, 23268, 30540, 281, 2991, 519, 5810, 28201, 267, 519, 5452, 786, 1020, 538, 513, 17031, 6079, 2212, 602, 5555, 5956, 547, 2490, 6960, 543, 3819, 269, 1488, 992, 3650, 7233, 9428, 1655, 543, 609, 1906, 2042, 6738, 538, 606, 15755, 3037, 3638, 538, 5214, 5567, 855, 28368, 1134, 269, 15019, 585, 811, 982, 2560, 901, 2356, 1797, 621, 10351, 7149, 513, 1032, 1310, 9544, 269, 901, 2030, 568, 3362, 16916, 538, 476, 271, 269, 1428, 547, 476, 271, 269, 3393, 15432, 630, 276, 269, 280, 547, 476, 1704, 269, 278, 538, 264, 540, 1216, 609, 1100, 610, 2370, 1699, 269, 769, 1022, 2680, 602, 513, 4620, 610, 1126, 2501, 538, 3346, 609, 519, 6757, 18682, 267, 596, 1058, 1289, 707, 8914, 1852, 4099, 5612, 269, 1715, 2371, 666, 581, 6659, 689, 6079, 855, 607, 1034, 2249, 3533, 3914, 16883, 2450, 267, 621, 568, 25864, 2556, 269, 6153, 2030, 585, 19558, 4577, 3395, 269, 1715, 15561, 3650, 2371, 666, 1332, 689, 6565, 610, 3597, 15998, 269, 29088, 10306, 1116, 1235, 786, 3622, 1747, 519, 5452, 2282, 519, 5377, 540, 513, 8708, 610, 26868, 602, 568, 2560, 4455, 476, 1724, 267, 476, 1001, 280, 910, 10812, 31130, 8935, 322, 564, 781, 4604, 834, 6635, 992, 3650, 7233, 257, 593, 26964, 269, 769, 1931, 547, 2736, 922, 18959, 3599, 267, 713, 6079, 2115, 547, 2560, 634, 15561, 3650, 2030, 13978, 1668, 1506, 950, 519, 4587, 267, 16246, 11710, 616, 16013, 4364, 1055, 269, 4706, 1455, 2012, 267, 1488, 992, 3650, 7233, 267, 568, 6508, 689, 519, 838, 1228, 6438, 3337, 540, 922, 3762, 269, 634, 3037, 1058, 581, 11179, 6632, 267, 1256, 544, 28854, 269, 1488, 992, 3650, 7233, 6261, 1074, 8677, 645, 732, 17848, 476, 275, 257, 14970, 5174, 732, 17848, 7233, 910, 5600, 7233, 16179, 476, 273, 5192, 476, 272, 5131, 256, 1488, 992, 3650, 267, 799, 12236, 922, 2012, 1317, 540, 922, 15561, 6879, 1901, 3762, 267, 568, 513, 1100, 1922, 1380, 1216, 4677, 2030, 602, 8591, 513, 18932, 267, 9341, 1745, 547, 22253, 267, 20115, 267, 543, 1216, 2934, 269, 2353, 540, 891, 4408, 616, 6508, 689, 519, 4657, 3337, 540, 519, 2030, 779, 3762, 269, 20780, 930, 1272, 16280, 256, 1488, 992, 3650, 7233, 7352, 7724, 1703, 616, 1896, 8677, 540, 15561, 3650, 2030, 267, 1142, 814, 513, 2189, 2681, 540, 519, 3762, 269, 1488, 992, 3650, 7233, 910, 3619, 846, 20584, 634, 3619, 846, 20584, 610, 1488, 992, 3650, 2030, 568, 3957, 865, 1317, 540, 519, 15561, 610, 979, 846, 3952, 8032, 3762, 950, 789, 2811, 11174, 269, 2659, 1488, 992, 3650, 2030, 568, 1838, 5006, 538, 513, 18519, 1604, 269, 634, 15561, 3650, 11903, 568, 513, 9341, 6172, 828, 538, 519, 589, 15869, 2801, 630, 528, 513, 5514, 264, 1920, 269, 2913, 3037, 3819, 1063, 1216, 902, 269, 1703, 616, 1114, 2010, 540, 5204, 978, 28016, 338, 547, 3442, 689, 543, 616, 21630, 676, 519, 15254, 20672, 725, 267, 6978, 3270, 267, 543, 4778, 269, 25994, 666, 2901, 17708, 339, 5612, 610, 2611, 26862, 2394, 2175, 616, 1318, 585, 23286, 269, 634, 2179, 540, 1769, 602, 513, 1880, 8390, 2115, 5673, 513, 2603, 593, 922, 2681, 269, 2560, 634, 3762, 1376, 1055, 607, 606, 15561, 3650, 3337, 543, 5555, 1332, 513, 1906, 968, 325, 532, 619, 1848, 634, 2030, 786, 1332, 883, 513, 1279, 11903, 936, 942, 267, 865, 31831, 689, 16013, 2719, 519, 3762, 547, 1450, 873, 547, 1332, 8799, 543, 2560, 1403, 519, 1488, 992, 3650, 2030, 786, 581, 6854, 693, 4055, 10917, 630, 4792, 21508, 487, 910, 476, 10463, 21508, 487, 1070, 596, 1058, 1152, 1216, 2899, 610, 7466, 1142, 3018, 269, 634, 1488, 992, 3650, 2030, 630, 306, 344, 978, 28016, 10540, 19780, 636, 264, 568, 1634, 676, 1082, 4408, 267, 1519, 519, 1488, 992, 3650, 11903, 543, 519, 3619, 846, 20584, 2030, 269, 24321, 2969, 3267, 3728, 6765, 17723, 14214, 12953, 13651, 22935, 786, 798, 1586, 1547, 18323, 281, 31301, 2137, 540, 693, 2547, 476, 2568, 268, 5952, 2485, 374, 293, 630, 1428, 268, 3066, 2485, 374, 290, 264, 991, 547, 581, 9738, 1032, 5180, 269, 634, 3636, 5210, 5000, 2489, 7347, 2208, 267, 799, 18922, 883, 513, 1668, 1506, 2030, 609, 3677, 3762, 269, 634, 8685, 619, 616, 12630, 1134, 22274, 630, 7224, 811, 982, 476, 1321, 2371, 829, 4009, 11281, 264, 693, 519, 1439, 540, 2904, 693, 513, 3178, 2560, 769, 1840, 547, 1373, 12155, 547, 4742, 23661, 267, 15561, 3650, 2371, 2560, 634, 1488, 992, 3650, 630, 306, 344, 978, 28016, 10540, 19780, 636, 264, 568, 5065, 547, 519, 9341, 4764, 7733, 538, 6239, 543, 3162, 3013, 269, 6423, 811, 2093, 827, 15561, 3650, 2030, 267, 2777, 2371, 267, 11255, 2371, 269, 700, 20846, 1323, 15561, 3650, 2030, 609, 4158, 3039, 3762, 666, 2661, 538, 1970, 547, 5420, 1769, 269, 3487, 540, 519, 1488, 992, 3650, 2030, 779, 19259, 568, 922, 15254, 20672, 566, 630, 6783, 540, 1114, 4778, 267, 7306, 267, 543, 3270, 1040, 3057, 1076, 781, 3762, 616, 1804, 267, 2620, 3039, 543, 4268, 5944, 2261, 16940, 609, 3043, 269, 1488, 992, 3650, 12518, 630, 306, 344, 978, 28016, 10540, 19780, 4548, 264, 2097, 538, 606, 5044, 540, 6978, 15254, 20672, 725, 267, 4778, 1299, 5546, 269, 1635, 519, 1259, 267, 621, 568, 1360, 10375, 547, 946, 607, 513, 1489, 585, 519, 8768, 8546, 609, 21263, 267, 519, 2030, 3294, 568, 20386, 1472, 621, 543, 9428, 909, 267, 8757, 476, 272, 269, 276, 1107, 476, 272, 269, 279, 7397, 538, 4463, 269, 1488, 992, 3650, 2030, 9428, 1134, 538, 15755, 267, 15417, 3037, 2348, 9063, 476, 276, 269, 276, 547, 476, 278, 269, 5204, 978, 28016, 18422, 4512, 15920, 856, 28359, 602, 3533, 3597, 538, 519, 14041, 4322, 2371, 2648, 2507, 1452, 3657, 519, 476, 1691, 7454, 5600, 17852, 585, 2659, 16170, 3336, 269, 1488, 992, 3650, 7233, 910, 19612, 607, 5204, 978, 28016, 2371, 267, 891, 2706, 25836, 2371, 616, 513, 20013, 585, 1022, 11255, 2230, 269, 2398, 12941, 543, 9070, 908, 15561, 3650, 2371, 269, 476, 2190, 270, 278, 12182, 1467, 1289, 1341, 4792, 476, 5952, 279, 276, 476, 276, 3393, 275, 282, 18248, 282, 13555, 282, 5240, 12072, 1547, 769, 1249, 267, 519, 5072, 5706, 4232, 543, 2068, 2484, 1454, 1732, 952, 596, 1450, 873, 547, 3592, 4625, 3819, 909, 538, 1063, 1216, 902, 269, 634, 15561, 3650, 2030, 267, 5204, 978, 28016, 2030, 666, 581, 12082, 689, 27191, 267, 3597, 6498, 543, 2011, 2482, 1359, 269, 901, 2030, 7472, 17580, 8685, 619, 602, 723, 12926, 1044, 14916, 1031, 676, 519, 6805, 9082, 540, 519, 17113, 269, 1411, 666, 1118, 707, 1378, 3037, 3575, 676, 11544, 3160, 2694, 540, 513, 5010, 29238, 3575, 609, 513, 2560, 898, 3217, 513, 1360, 1279, 942, 630, 273, 1296, 264, 547, 1332, 519, 1488, 992, 3650, 2030, 689, 513, 6079, 267, 855, 621, 666, 581, 2944, 269, 1411, 666, 2356, 1205, 27191, 1055, 540, 513, 3659, 610, 689, 513, 4677, 4558, 269, 634, 2295, 540, 838, 1228, 11057, 267, 10477, 3762, 543, 922, 8766, 991, 585, 7943, 1118, 621, 513, 5172, 1851, 11255, 2030, 12439, 269, 590, 12976, 281, 7233, 538, 3735, 2887, 267, 10296, 519, 6079, 883, 519, 2627, 540, 519, 3037, 2094, 621, 2115, 1769, 547, 10351, 3729, 269, 589, 1494, 602, 568, 827, 476, 277, 892, 910, 476, 279, 892, 786, 581, 1804, 2614, 585, 693, 2547, 476, 273, 1296, 952, 596, 3136, 547, 2879, 760, 1055, 22125, 3762, 543, 11710, 269, 634, 15561, 3650, 2030, 13978, 1668, 1506, 950, 519, 4587, 267, 16246, 11710, 616, 16013, 4364, 1055, 269, 769, 1931, 547, 2736, 922, 18959, 3599, 267, 713, 6079, 2115, 547, 1995, 4411, 11320, 1301, 11305, 1245, 5210, 269, 9608, 1125, 707, 23103, 609, 519, 5898, 540, 2653, 13282, 2777, 17852, 269, 3245, 6300, 570, 22241, 24456, 10870, 269, 1323, 15561, 3650, 2030, 568, 9070, 730, 1210, 2030, 6498, 610, 676, 6565, 27191, 269, 1488, 992, 3650, 7233, 630, 306, 344, 978, 28016, 10540, 19780, 636, 264, 1488, 992, 3650, 2371, 616, 849, 1634, 607, 15561, 3650, 30676, 610, 2947, 11263, 269, 1488, 992, 3650, 2030, 8677, 609, 1769, 3039, 267, 3043, 267, 11909, 267, 610, 3276, 326, 1495, 344, 3762, 991, 5420, 547, 1164, 1769, 269, 1488, 992, 3650, 2560, 22320, 15561, 3650, 2371, 689, 922, 524, 768, 338, 538, 513, 1494, 540, 1216, 267, 609, 930, 890, 6277, 956, 547, 1450, 519, 2030, 547, 3597, 3294, 269, 1488, 992, 3650, 2371, 1332, 3533, 267, 543, 786, 2253, 547, 11903, 1932, 267, 865, 952, 596, 20053, 547, 1332, 873, 585, 513, 1279, 942, 267, 621, 779, 811, 19624, 547, 1332, 621, 538, 3037, 269, 1488, 992, 3650, 7233, 630, 306, 344, 978, 28016, 10540, 19780, 636, 264, 1488, 992, 3650, 2371, 616, 849, 1634, 607, 15561, 3650, 30676, 610, 2947, 11263, 269, 898, 3217, 513, 1360, 1279, 942, 630, 273, 1296, 264, 547, 1332, 519, 1488, 992, 3650, 2030, 689, 513, 6079, 267, 855, 621, 666, 581, 2944, 269, 6519, 18173, 568, 519, 2442, 3099, 540, 15561, 3650, 2030, 269, 634, 3037, 1058, 581, 11179, 6632, 267, 1256, 544, 28854, 269, 1488, 992, 3650, 2560, 1411, 666, 1265, 1082, 1114, 4778, 540, 713, 2030, 2436, 596, 16681, 3592, 3043, 267, 2620, 16719, 267, 5835, 24698, 267, 610, 1585, 18707, 540, 11909, 543, 3276, 326, 1495, 344, 269, 6875, 519, 476, 275, 268, 276, 10759, 5969, 538, 2038, 4832, 543, 2322, 835, 1439, 538, 1216, 269, 2991, 11544, 513, 1434, 1488, 992, 3650, 3037, 630, 5408, 2630, 1070, 3274, 2007, 856, 513, 8559, 602, 568, 827, 607, 2647, 543, 2620, 607, 707, 9416, 269, 1358, 666, 581, 6738, 6707, 607, 11255, 2371, 267, 5116, 3544, 593, 1273, 3930, 610, 538, 1544, 1562, 269, 15394, 2938, 609, 12779, 3039, 3762, 267, 713, 8966, 25308, 11909, 7990, 568, 519, 3501, 3159, 547, 1039, 547, 1022, 2230, 269, 1488, 992, 3650, 1325, 335, 1149, 814, 12309, 781, 4102, 5542, 540, 8966, 17506, 10118, 267, 28816, 3552, 25154, 267, 4686, 620, 335, 1149, 543, 4224, 4677, 2371, 2560, 4634, 952, 596, 2990, 707, 15561, 3650, 2030, 2560, 1403, 596, 616, 9070, 908, 707, 1378, 2371, 267, 519, 1184, 568, 1360, 2241, 952, 596, 1246, 891, 2653, 3268, 281, 4635, 1360, 8325, 1352, 1513, 267, 2759, 513, 2030, 1141, 519, 4130, 6565, 10742, 835, 540, 519, 3677, 968, 13700, 6064, 892, 11710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 543, 666, 22652, 835, 1776, 269, 32501, 543, 4914, 13779, 538, 519, 1259, 540, 3486, 2686, 543, 3909, 7506, 630, 5228, 8613, 267, 2069, 267, 4108, 6351, 543, 29966, 2238, 1070, 3486, 543, 6237, 2804, 3466, 267, 2916, 16839, 543, 865, 593, 269, 28015, 1143, 20555, 1055, 540, 2797, 543, 1514, 13542, 4547, 593, 676, 5821, 610, 24715, 566, 538, 519, 2804, 12106, 543, 519, 632, 268, 614, 761, 3645, 1436, 540, 6803, 543, 3909, 3961, 4547, 593, 676, 14051, 543, 28929, 21274, 563, 4407, 519, 5354, 540, 7395, 327, 516, 321, 4149, 320, 3559, 2829, 616, 16155, 1770, 776, 267, 609, 3854, 2749, 23780, 1788, 532, 1852, 1524, 2072, 543, 14837, 1227, 547, 16899, 543, 13102, 267, 741, 4641, 568, 811, 8880, 269, 634, 5354, 540, 873, 3398, 543, 2291, 896, 519, 6240, 540, 2588, 328, 1502, 573, 564, 529, 267, 30418, 602, 519, 3656, 543, 4570, 6302, 540, 741, 2022, 12258, 11102, 2829, 616, 1071, 268, 32558, 748, 609, 3140, 7810, 6302, 269, 4256, 3448, 1852, 936, 2230, 11498, 689, 519, 3119, 3854, 4295, 543, 922, 2804, 543, 2797, 9136, 538, 519, 24781, 543, 13020, 625, 563, 4002, 519, 19300, 15546, 31196, 519, 3656, 6302, 2743, 543, 616, 1419, 7753, 676, 519, 2168, 20281, 1604, 630, 1492, 9390, 264, 543, 676, 519, 786, 1379, 540, 32746, 29232, 2920, 832, 269, 634, 2078, 1063, 519, 7395, 327, 516, 321, 31196, 543, 519, 15223, 3559, 31196, 949, 581, 2938, 607, 513, 3126, 540, 3492, 878, 10851, 540, 1852, 14178, 21286, 4724, 1079, 943, 1078, 7182, 281, 513, 3656, 10465, 28263, 676, 513, 2168, 267, 6198, 20281, 2443, 519, 19300, 15546, 31196, 269, 9737, 519, 4295, 543, 519, 20281, 616, 519, 4525, 4371, 16119, 676, 519, 4295, 779, 2686, 543, 2804, 4222, 543, 922, 1770, 776, 15796, 540, 6392, 2443, 519, 6905, 4295, 269, 901, 7852, 568, 6353, 676, 519, 7903, 543, 7485, 1063, 1533, 8128, 543, 3309, 1875, 15581, 11051, 269, 1215, 1454, 1852, 1533, 666, 1788, 936, 891, 2127, 538, 851, 11887, 875, 1454, 4914, 5092, 786, 12446, 543, 875, 15164, 5989, 543, 1349, 633, 3785, 786, 581, 16363, 563, 296, 16818, 10609, 12245, 684, 779, 3069, 540, 519, 4473, 543, 2887, 540, 23693, 538, 799, 1799, 9394, 968, 935, 1417, 5928, 540, 5763, 543, 2551, 892, 941, 7142, 547, 6830, 1518, 2933, 538, 7916, 543, 22122, 1996, 1507, 2516, 540, 5985, 9930, 6758, 267, 2407, 540, 1990, 652, 543, 10100, 630, 390, 379, 320, 23973, 629, 12011, 5984, 1070, 24889, 609, 519, 19178, 540, 1082, 540, 519, 7395, 327, 516, 321, 4149, 320, 3559, 2829, 269, 32746, 29232, 2920, 832, 267, 1498, 1507, 543, 1419, 10002, 641, 983, 267, 723, 519, 1379, 547, 9933, 622, 543, 635, 12393, 519, 27606, 540, 1256, 519, 16999, 3844, 6608, 538, 13641, 4536, 267, 715, 537, 752, 577, 2714, 543, 15281, 877, 344, 676, 1085, 2130, 2476, 5092, 689, 3689, 543, 5822, 570, 1512, 2920, 832, 543, 676, 27200, 1514, 22122, 543, 17604, 1851, 1004, 538, 519, 6694, 543, 2804, 7740, 269, 769, 713, 1259, 267, 27025, 30829, 9930, 6758, 543, 4550, 15581, 11439, 2516, 666, 17908, 741, 4567, 607, 15672, 11051, 547, 1788, 1379, 936, 1279, 9883, 543, 2066, 10665, 269, 1924, 519, 4295, 24864, 1394, 282, 950, 621, 1281, 711, 621, 8813, 10352, 547, 519, 4395, 4536, 5443, 945, 3715, 2933, 693, 519, 13258, 540, 519, 14020, 4295, 563, 8448, 338, 723, 2147, 2093, 593, 519, 2339, 269, 769, 2782, 538, 5274, 31511, 630, 23682, 5112, 267, 476, 1220, 277, 264, 10897, 541, 717, 520, 6257, 513, 1184, 602, 568, 3592, 9838, 269, 589, 4619, 16124, 1249, 542, 2501, 547, 1379, 267, 5036, 909, 513, 10340, 543, 16245, 338, 694, 2017, 527, 1944, 5238, 547, 8190, 922, 28735, 269, 634, 2551, 568, 6131, 543, 20005, 543, 21040, 922, 3914, 856, 547, 519, 17439, 4554, 6708, 540, 922, 4199, 3490, 786, 1450, 621, 269, 634, 2551, 21040, 543, 3587, 25133, 269, 11531, 267, 593, 519, 20281, 267, 1950, 2797, 543, 19831, 4229, 10836, 267, 1565, 689, 543, 12561, 1271, 4773, 540, 519, 3844, 968, 322, 2753, 1436, 779, 892, 2619, 547, 1967, 2443, 922, 2029, 267, 922, 3029, 540, 3919, 267, 9882, 543, 13137, 269, 901, 1007, 3196, 9620, 547, 2611, 1863, 689, 519, 8789, 10340, 269, 634, 8789, 10340, 3587, 5360, 8809, 543, 4617, 267, 17215, 11979, 543, 840, 31039, 519, 8395, 1132, 540, 519, 2797, 1362, 2864, 982, 519, 7347, 1145, 540, 922, 9103, 1275, 269, 5940, 26167, 543, 1793, 8576, 569, 267, 519, 1007, 20281, 4229, 1118, 1259, 547, 2309, 324, 4395, 4536, 540, 519, 10340, 269, 634, 8789, 10340, 3976, 8813, 10352, 547, 27581, 17071, 20281, 3046, 321, 12579, 945, 24057, 992, 621, 543, 3136, 519, 4783, 269, 2060, 1142, 21767, 267, 519, 1007, 10340, 3587, 811, 7347, 936, 3476, 5712, 282, 855, 713, 1095, 6979, 602, 972, 568, 513, 2178, 543, 8087, 20281, 3196, 2407, 540, 3483, 543, 917, 24376, 6322, 693, 606, 24057, 992, 563, 296, 16818, 10609, 12245, 684, 779, 3169, 1913, 630, 16341, 6343, 10565, 538, 713, 2796, 264, 17412, 519, 1184, 676, 799, 15672, 267, 9390, 11051, 1491, 547, 519, 454, 314, 269, 1547, 1547, 316, 23617, 267, 950, 789, 666, 3914, 873, 1813, 547, 3668, 540, 4027, 543, 8467, 540, 519, 1533, 267, 616, 24401, 2812, 585, 873, 543, 2849, 17632, 585, 873, 547, 3548, 267, 799, 789, 786, 1832, 16339, 334, 4979, 543, 986, 4575, 543, 9518, 1359, 609, 8897, 2394, 741, 1004, 616, 17204, 267, 1287, 708, 10028, 873, 609, 8994, 4655, 543, 2797, 7771, 267, 2394, 741, 10340, 568, 10032, 563, 1103, 2487, 2053, 1919, 616, 711, 865, 4049, 855, 519, 2949, 4806, 568, 10770, 538, 1158, 6214, 563, 3080, 1281, 711, 1265, 713, 4110, 540, 5360, 659, 775, 610, 12316, 535, 969, 528, 538, 1034, 540, 519, 7395, 327, 516, 321, 4149, 320, 3559, 4849, 538, 15739, 564, 1514, 9922, 269, 26184, 18941, 6818, 538, 930, 4525, 811, 982, 1866, 855, 519, 23780, 2611, 3532, 2523, 1369, 741, 6905, 10851, 540, 3310, 269, 1358, 3068, 3978, 3354, 2591, 609, 3908, 2200, 543, 267, 538, 1082, 4025, 267, 1970, 27907, 855, 616, 3622, 2111, 547, 7903, 1394, 1996, 6803, 543, 22681, 15141, 338, 269, 634, 2243, 267, 1498, 267, 568, 585, 875, 1279, 713, 568, 2009, 1510, 811, 23801, 11095, 543, 2797, 3435, 282, 1486, 26167, 543, 7928, 909, 5142, 902, 610, 6285, 689, 771, 4186, 5034, 1249, 687, 1223, 5492, 24312, 2014, 2484, 811, 2042, 982, 616, 19242, 269, 1403, 835, 15109, 519, 1118, 909, 540, 519, 3148, 779, 6608, 267, 1082, 540, 873, 4108, 2275, 2753, 1014, 29528, 610, 30739, 19831, 2829, 267, 543, 741, 6214, 616, 4749, 6353, 676, 12499, 268, 601, 924, 6214, 602, 1246, 513, 2203, 711, 4744, 25630, 689, 1018, 568, 4330, 1934, 269, 1703, 568, 1713, 15364, 538, 3609, 267, 6029, 5266, 2178, 16918, 13618, 269, 1809, 1919, 949, 711, 2141, 581, 519, 2013, 593, 519, 7395, 327, 516, 321, 31196, 267, 1141, 5718, 568, 3810, 10531, 543, 11361, 269, 1809, 1256, 538, 27988, 807, 543, 8644, 5984, 1141, 713, 1966, 568, 1034, 10423, 267, 4160, 949, 581, 811, 9097, 982, 4641, 269, 634, 3148, 779, 2829, 936, 782, 616, 5266, 5150, 609, 8037, 855, 19242, 2591, 543, 3466, 602, 1223, 15583, 622, 952, 789, 616, 9619, 19100, 676, 519, 1034, 1271, 11051, 563, 763, 2702, 540, 519, 4295, 547, 7903, 1394, 1996, 23650, 776, 4229, 538, 513, 11327, 543, 2500, 1259, 568, 519, 1883, 547, 922, 6668, 607, 513, 14323, 11769, 269, 901, 3948, 568, 3020, 538, 519, 840, 12258, 11102, 2796, 282, 519, 4395, 4536, 540, 519, 2025, 7395, 327, 516, 321, 710, 543, 15223, 3559, 23693, 941, 1419, 5714, 269, 32633, 19631, 9082, 1185, 14320, 811, 15407, 538, 14045, 547, 7247, 789, 26823, 3022, 14336, 4800, 269, 634, 2022, 12258, 11102, 1533, 1062, 13000, 891, 8978, 6650, 2510, 267, 711, 693, 782, 20775, 547, 519, 1966, 540, 1582, 3766, 17922, 267, 609, 930, 967, 29924, 543, 2824, 2032, 269, 8564, 2032, 666, 581, 7787, 543, 2500, 1247, 967, 29924, 568, 811, 4749, 796, 3772, 563, 382, 369, 634, 12449, 2938, 538, 713, 3126, 540, 9708, 666, 581, 9763, 593, 634, 300, 3233, 9202, 2710, 528, 22391, 18704, 2272, 269, 0, 294, 272, 267, 590, 267, 717, 273, 454, 288, 1591, 538, 519, 717, 272, 3942, 540, 3955, 874, 848, 814, 476, 736, 15954, 269, 6904, 540, 519, 1739, 1590, 581, 3020, 286, 630, 15675, 835, 994, 288, 264, 1879, 519, 1591, 568, 538, 519, 717, 273, 3942, 621, 786, 723, 476, 2412, 15954, 563, 289, 264, 1879, 519, 1591, 568, 538, 1323, 7469, 848, 621, 786, 723, 476, 2412, 15954, 563, 290, 264, 1879, 519, 1591, 568, 538, 5450, 7469, 848, 621, 786, 723, 476, 2412, 15954, 563, 291, 264, 1879, 519, 1591, 814, 8737, 5378, 2670, 267, 1142, 1007, 1591, 786, 723, 476, 1015, 15954, 563, 8266, 782, 11775, 540, 519, 1591, 4783, 543, 5378, 2670, 538, 799, 513, 6046, 9245, 568, 1459, 281, 630, 15675, 835, 994, 288, 264, 717, 272, 267, 717, 273, 267, 1160, 874, 848, 267, 20052, 2684, 848, 454, 289, 264, 1160, 874, 848, 267, 1596, 564, 7469, 848, 267, 21042, 848, 267, 22007, 2684, 848, 454, 290, 264, 717, 272, 267, 590, 267, 717, 273, 267, 605, 874, 848, 267, 22007, 2684, 848, 454, 291, 264, 717, 272, 267, 590, 267, 717, 273, 267, 605, 874, 848, 267, 1596, 564, 7469, 848, 267, 22007, 2684, 848, 454, 275, 12226, 1923, 5410, 962, 2293, 454, 4263, 519, 717, 272, 5123, 267, 519, 1591, 814, 2347, 5036, 540, 15954, 269, 3767, 519, 1591, 666, 6430, 2436, 621, 786, 3136, 547, 1591, 7941, 610, 711, 269, 1403, 621, 16858, 547, 3136, 267, 519, 5027, 18643, 540, 519, 15954, 786, 2253, 2394, 519, 1439, 540, 717, 273, 5123, 269, 717, 272, 267, 590, 543, 717, 273, 616, 538, 519, 954, 874, 848, 269, 1924, 1354, 621, 4991, 547, 519, 5378, 2670, 267, 922, 15954, 616, 2907, 23060, 269, 14594, 589, 563, 301, 13086, 9245, 568, 1869, 16856, 2394, 519, 1439, 540, 954, 874, 848, 799, 1797, 602, 519, 6046, 9245, 568, 1459, 538, 717, 272, 267, 590, 543, 717, 273, 11775, 269, 3767, 1282, 519, 1101, 3942, 540, 5378, 2670, 610, 21042, 848, 267, 6046, 9245, 6238, 547, 31358, 269, 4438, 1596, 564, 7469, 848, 267, 519, 6046, 9245, 9397, 1524, 865, 621, 786, 711, 581, 1459, 1310, 1596, 564, 7469, 848, 543, 786, 581, 1106, 1586, 1282, 22007, 2684, 848, 950, 8250, 1591, 786, 5094, 269, 14594, 667, 269, 6884, 1596, 564, 7469, 848, 568, 711, 3769, 3079, 621, 568, 538, 519, 2063, 851, 540, 605, 874, 848, 563, 2419, 4069, 589, 543, 667, 454, 320, 543, 546, 454, 320, 543, 546, 454, 2171, 4076, 12943, 476, 28760, 267, 280, 1626, 2055, 269, 1284, 666, 2626, 16523, 267, 1932, 269, 16485, 513, 2243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4706, 2527, 568, 1869, 7164, 267, 2705, 972, 568, 513, 9120, 3970, 547, 713, 1871, 563, 763, 22011, 3626, 1281, 711, 1459, 5279, 543, 6799, 4617, 5872, 609, 2339, 267, 1018, 2306, 2352, 922, 7020, 269, 12846, 267, 621, 666, 581, 9571, 1317, 540, 922, 11606, 269, 634, 1292, 2959, 602, 649, 666, 1265, 873, 616, 3047, 5925, 13808, 267, 6046, 26119, 267, 17184, 2621, 543, 519, 3141, 630, 4792, 17542, 540, 6120, 12541, 657, 829, 7643, 3914, 3047, 264, 4586, 29209, 6901, 5001, 1382, 2409, 547, 3713, 873, 267, 519, 12524, 540, 2274, 696, 976, 960, 7258, 609, 873, 269, 32087, 519, 4102, 4603, 540, 22011, 3626, 7020, 267, 519, 12213, 26789, 3026, 583, 337, 3626, 15331, 630, 291, 7419, 292, 1916, 2005, 568, 1869, 538, 4070, 543, 4152, 267, 519, 1292, 6859, 621, 6663, 547, 3914, 616, 281, 18670, 540, 8713, 15340, 267, 23442, 9178, 543, 7020, 540, 31975, 320, 6120, 12541, 657, 267, 543, 3605, 519, 6120, 12541, 657, 2527, 15796, 630, 14153, 517, 267, 512, 879, 543, 6475, 6120, 12541, 657, 1916, 5415, 982, 476, 1911, 271, 3173, 960, 1927, 547, 11886, 713, 1788, 269, 0, 10481, 1108, 540, 20736, 1145, 454, 299, 11343, 1369, 519, 3345, 4639, 4400, 1633, 2983, 641, 1046, 267, 835, 540, 519, 20923, 4525, 540, 519, 1158, 585, 1620, 20569, 267, 3226, 7823, 20671, 3157, 563, 1607, 568, 7361, 1813, 547, 513, 2101, 19876, 13337, 1634, 607, 519, 7720, 710, 774, 6412, 269, 901, 5645, 513, 1804, 19876, 6656, 540, 2048, 27770, 710, 5576, 626, 685, 609, 930, 5817, 575, 928, 1170, 936, 513, 2836, 539, 20897, 5983, 1633, 540, 11066, 1014, 717, 928, 1170, 267, 21247, 924, 1299, 20736, 1145, 7799, 9693, 1282, 513, 1974, 540, 2836, 539, 20897, 7823, 2679, 9625, 25396, 2929, 1296, 3516, 269, 1635, 23892, 2062, 1633, 6810, 5612, 2630, 519, 1292, 19876, 267, 621, 2813, 513, 2048, 29773, 540, 28658, 685, 5219, 547, 1934, 607, 519, 7720, 710, 774, 6412, 18630, 269, 634, 7720, 710, 7725, 543, 1644, 19876, 3274, 1491, 741, 4408, 689, 519, 3573, 589, 685, 631, 14833, 710, 24120, 536, 690, 1858, 799, 18795, 2390, 519, 6650, 1889, 762, 11634, 626, 1063, 20736, 1145, 543, 26280, 826, 563, 7197, 540, 20736, 1145, 8498, 6013, 593, 513, 5394, 630, 1575, 547, 9625, 8517, 332, 264, 19588, 540, 12373, 739, 821, 543, 14680, 7725, 602, 941, 20024, 2059, 519, 19114, 540, 519, 594, 777, 28127, 7909, 1282, 18095, 6929, 543, 18103, 990, 6509, 2053, 630, 27944, 268, 30420, 2929, 1296, 3516, 1040, 901, 5311, 568, 1217, 958, 1634, 607, 519, 2048, 291, 584, 1145, 7799, 9693, 8730, 4352, 12373, 739, 821, 2306, 909, 519, 5354, 540, 519, 5311, 563, 4322, 4224, 2010, 616, 3833, 4686, 2066, 10430, 543, 4061, 865, 616, 2934, 971, 607, 15195, 23572, 267, 14680, 17362, 906, 543, 21199, 32440, 267, 782, 540, 799, 666, 581, 1336, 1472, 20736, 1145, 269, 901, 5817, 20569, 609, 621, 779, 1164, 2157, 540, 7513, 19941, 814, 849, 8507, 538, 519, 20736, 1145, 1858, 1373, 835, 540, 519, 1034, 15417, 2127, 538, 7187, 10430, 267, 14356, 1946, 621, 2982, 2963, 540, 1360, 1279, 2165, 1480, 13567, 563, 10481, 5505, 723, 7745, 519, 20736, 1145, 7799, 9693, 1524, 883, 5722, 14404, 15572, 545, 11996, 630, 4385, 607, 2048, 845, 725, 32426, 1759, 593, 519, 1114, 5920, 540, 519, 4224, 2429, 519, 5311, 267, 1034, 540, 799, 616, 3957, 1310, 4025, 538, 519, 20736, 1145, 1858, 1141, 789, 616, 1655, 12873, 630, 324, 3052, 269, 661, 850, 534, 14878, 327, 267, 590, 836, 558, 648, 267, 7195, 333, 820, 559, 1040, 901, 568, 5532, 547, 5594, 1114, 18254, 531, 5054, 998, 942, 267, 6417, 676, 15088, 538, 3448, 4262, 1377, 936, 513, 3636, 7286, 18626, 15808, 563, 10712, 5622, 29190, 814, 4646, 693, 519, 10465, 540, 1079, 540, 891, 21272, 282, 519, 12779, 15454, 12373, 739, 2158, 540, 519, 2048, 306, 836, 558, 648, 19725, 685, 543, 519, 5817, 267, 18632, 12373, 739, 2158, 540, 519, 2048, 306, 841, 332, 1817, 19725, 9957, 634, 590, 841, 332, 1817, 568, 27537, 676, 606, 9642, 2138, 339, 1194, 5920, 799, 3947, 621, 519, 13016, 2012, 540, 2048, 8867, 16985, 9412, 685, 543, 890, 6277, 956, 540, 621, 630, 338, 712, 1027, 689, 519, 2983, 617, 3873, 3911, 5622, 30917, 264, 16445, 519, 13675, 547, 3911, 5622, 29190, 269, 898, 568, 15458, 607, 547, 1018, 4010, 814, 3361, 713, 2138, 339, 1782, 4352, 3504, 3276, 8089, 543, 973, 31051, 5314, 540, 519, 21439, 723, 1044, 6700, 676, 930, 2520, 5505, 269, 898, 849, 3568, 10731, 12162, 2737, 540, 10027, 339, 1141, 19941, 6886, 723, 1044, 26947, 8719, 676, 21958, 563, 293, 1601, 2812, 1369, 519, 20736, 1145, 7799, 9693, 616, 5266, 4686, 630, 4820, 569, 1317, 540, 12373, 558, 924, 973, 31051, 2358, 519, 3312, 14680, 4224, 264, 855, 1346, 1869, 1336, 971, 607, 1507, 524, 31525, 641, 16104, 267, 8819, 1886, 16104, 543, 29008, 525, 941, 24215, 1950, 585, 741, 942, 267, 1256, 952, 789, 949, 3100, 896, 342, 3559, 2719, 2221, 563, 4322, 5030, 5266, 16172, 1310, 519, 18095, 6929, 4112, 8531, 950, 782, 1272, 729, 1869, 11658, 547, 1216, 269, 634, 5311, 568, 5393, 10731, 538, 3473, 531, 3889, 971, 607, 588, 668, 520, 565, 2572, 543, 555, 668, 2513, 2572, 2705, 269, 1452, 2799, 5135, 2157, 1369, 519, 3047, 779, 5790, 693, 519, 942, 998, 15591, 267, 8716, 4028, 4720, 547, 3136, 563, 18814, 547, 519, 21266, 1540, 24348, 31324, 540, 519, 2836, 539, 20897, 5983, 1633, 1858, 630, 32483, 345, 924, 543, 20736, 1145, 7799, 9693, 264, 8375, 547, 519, 7178, 543, 1164, 2157, 1373, 2144, 10757, 2476, 267, 621, 568, 2356, 1152, 519, 632, 11526, 20736, 1145, 7799, 9693, 799, 729, 9575, 909, 1369, 519, 1292, 7720, 710, 774, 6412, 18630, 547, 519, 7532, 799, 814, 1044, 12873, 2066, 519, 32065, 4400, 4133, 563, 1607, 1950, 7997, 630, 6518, 3568, 3875, 19876, 24966, 264, 856, 23145, 1186, 2059, 513, 7522, 17252, 4149, 310, 12966, 689, 700, 5255, 661, 1026, 3326, 547, 4787, 6614, 267, 8429, 998, 2667, 9321, 1141, 10430, 779, 1292, 524, 3058, 3148, 568, 4092, 630, 14090, 1916, 763, 20736, 1145, 3148, 568, 8966, 538, 602, 621, 711, 1152, 814, 513, 5394, 476, 1015, 14790, 1279, 530, 8354, 540, 20736, 1145, 7799, 9693, 6534, 2066, 519, 1858, 7178, 540, 519, 19876, 7997, 630, 328, 4318, 269, 519, 2062, 1633, 1858, 1070, 855, 849, 9678, 6810, 540, 519, 7720, 710, 774, 6412, 18630, 543, 7720, 710, 774, 6412, 16847, 269, 898, 568, 19433, 673, 540, 1576, 602, 2062, 1633, 7725, 1058, 581, 2938, 607, 2048, 684, 639, 783, 685, 2066, 519, 2062, 1633, 1858, 563, 7093, 16227, 891, 7725, 1131, 723, 1044, 1336, 1896, 4627, 15432, 16841, 630, 13607, 1113, 569, 2362, 982, 476, 273, 14790, 264, 543, 6905, 1896, 21240, 2066, 547, 519, 700, 5255, 661, 1026, 3326, 1858, 1141, 851, 540, 519, 20736, 1145, 7799, 9693, 5311, 568, 849, 1336, 269, 4033, 2585, 725, 540, 519, 20736, 1145, 7799, 9693, 666, 849, 581, 2938, 538, 23529, 267, 1715, 11398, 1633, 543, 519, 29630, 1014, 3148, 1107, 513, 12576, 602, 7187, 10430, 568, 2520, 10999, 851, 540, 3345, 3013, 267, 1152, 2048, 516, 1417, 569, 685, 9674, 1813, 547, 519, 6679, 540, 519, 3345, 9533, 7909, 9625, 2568, 2929, 1296, 3516, 563, 8253, 1152, 1705, 713, 1524, 1922, 5435, 532, 693, 20736, 1145, 4688, 1034, 540, 519, 20736, 1145, 7799, 9693, 543, 930, 936, 2391, 6810, 540, 19876, 7997, 689, 11761, 855, 621, 849, 5116, 621, 2427, 676, 2427, 1996, 1454, 4587, 543, 9875, 11066, 1014, 717, 928, 1170, 630, 6518, 3217, 621, 779, 2012, 689, 519, 1772, 548, 540, 11066, 1141, 519, 1482, 4224, 1826, 568, 1336, 1916, 5475, 519, 2487, 1974, 540, 12620, 2747, 799, 1114, 6053, 2144, 10757, 519, 20736, 1145, 7799, 9693, 267, 519, 1267, 568, 513, 8037, 7823, 1965, 8364, 335, 618, 540, 575, 928, 1170, 799, 8255, 6252, 547, 519, 2274, 597, 514, 3467, 674, 5435, 689, 2142, 4883, 9919, 2335, 23042, 514, 928, 547, 595, 3757, 23637, 773, 269, 901, 538, 2490, 1797, 602, 1034, 11811, 799, 8813, 5196, 891, 2199, 15113, 3533, 8928, 1055, 540, 519, 6650, 1889, 762, 575, 928, 1170, 543, 1524, 5196, 519, 14680, 1970, 4133, 1858, 1141, 3911, 5622, 29190, 568, 4092, 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 ]
[ 0, 14976, 9626, 10557, 630, 23116, 994, 14976, 9626, 10557, 630, 6977, 278, 1107, 476, 279, 5147, 476, 4572, 271, 264, 729, 606, 2296, 4116, 267, 5339, 10404, 267, 1979, 19212, 543, 6037, 1807, 269, 2701, 729, 23122, 540, 519, 2296, 5948, 585, 2947, 1296, 538, 519, 2038, 14206, 2540, 543, 729, 13752, 519, 22632, 540, 12079, 1512, 546, 262, 10907, 611, 2946, 332, 773, 676, 519, 3943, 2229, 585, 1200, 960, 538, 2069, 269, 2701, 729, 519, 11078, 540, 11184, 28788, 2284, 10557, 543, 267, 896, 1010, 15769, 1222, 267, 5206, 1896, 22808, 540, 2021, 585, 519, 9218, 540, 2817, 22335, 269, 4173, 824, 12591, 4988, 519, 5396, 540, 2069, 267, 3943, 3332, 543, 22808, 563, 25238, 1221, 1475, 279, 5147, 476, 4572, 271, 476, 7830, 264, 630, 3042, 2008, 298, 14819, 2023, 267, 5507, 267, 2136, 8003, 454, 347, 2704, 2742, 544, 831, 1475, 20075, 523, 781, 5441, 267, 5507, 2008, 347, 15447, 333, 585, 1475, 291, 5315, 540, 2817, 22335, 267, 1568, 593, 2069, 267, 3943, 3332, 543, 22808, 8198, 347, 9824, 2510, 1475, 306, 597, 28788, 2284, 10557, 630, 15842, 750, 10245, 299, 2465, 729, 4535, 538, 5507, 267, 519, 4587, 11078, 540, 28788, 2284, 10557, 269, 634, 1920, 2012, 729, 2274, 11803, 269, 2701, 729, 13473, 693, 10348, 781, 5441, 267, 5507, 269, 2991, 6028, 1153, 267, 1352, 3459, 3450, 2296, 547, 6690, 538, 6281, 3506, 267, 513, 4876, 1352, 9738, 782, 540, 1200, 1272, 563, 5804, 476, 5002, 278, 547, 476, 4489, 273, 267, 1352, 729, 23122, 540, 519, 2296, 5948, 269, 2755, 538, 713, 2022, 267, 1352, 6594, 2069, 2409, 593, 519, 11782, 543, 3370, 519, 30732, 2280, 634, 9752, 540, 9085, 538, 3943, 543, 4436, 18520, 12140, 269, 2201, 476, 272, 5437, 476, 5002, 280, 519, 3943, 10579, 540, 5398, 19019, 1500, 1200, 12079, 1512, 546, 262, 10907, 611, 2946, 332, 773, 563, 1103, 1840, 547, 2069, 267, 10557, 5206, 4749, 827, 3943, 3332, 543, 22808, 540, 2021, 269, 1280, 1896, 1296, 267, 1352, 8329, 606, 2376, 827, 3943, 3332, 547, 1169, 3390, 540, 634, 7732, 269, 2701, 3370, 2835, 971, 607, 744, 340, 5866, 281, 513, 6490, 7546, 630, 4489, 275, 264, 543, 22032, 540, 519, 654, 1161, 540, 10348, 15117, 781, 11788, 3687, 8651, 630, 4489, 278, 1040, 2290, 540, 1200, 2101, 1568, 729, 519, 1603, 540, 936, 32210, 22808, 540, 2021, 585, 519, 9218, 540, 2817, 22335, 267, 799, 729, 12995, 676, 1200, 7820, 7015, 11184, 28788, 2284, 10557, 269, 2701, 849, 29211, 1200, 7015, 609, 1010, 824, 1568, 267, 1519, 31925, 519, 15997, 543, 735, 4979, 519, 4994, 585, 1010, 5020, 540, 5261, 9956, 630, 5002, 276, 267, 476, 276, 628, 7160, 1916, 347, 310, 1731, 529, 1830, 814, 3312, 1568, 2854, 676, 610, 827, 281, 2008, 268, 9966, 712, 540, 5333, 630, 6245, 274, 994, 268, 9218, 540, 2817, 22335, 630, 10037, 13366, 267, 476, 6642, 276, 268, 5002, 271, 543, 519, 476, 5002, 272, 7110, 994, 268, 634, 2296, 23397, 538, 519, 5384, 540, 9956, 630, 6245, 271, 8144, 267, 3312, 676, 14639, 808, 2737, 808, 1380, 518, 534, 994, 268, 634, 9752, 540, 9085, 538, 3943, 543, 4436, 18520, 12140, 630, 4489, 272, 994, 268, 589, 3427, 3778, 540, 2296, 9085, 630, 274, 2019, 338, 994, 268, 8564, 687, 689, 2296, 9085, 630, 275, 2019, 338, 994, 268, 744, 340, 5866, 281, 513, 6490, 7546, 630, 4489, 275, 994, 268, 22032, 540, 519, 654, 1161, 540, 10348, 15117, 781, 11788, 3687, 8651, 630, 4489, 278, 994, 268, 634, 7732, 630, 20123, 2118, 4930, 264, 0, 290, 4629, 4596, 291, 312, 299, 4785, 623, 3201, 19851, 305, 3041, 7300, 454, 18907, 476, 1691, 267, 476, 1708, 271, 1923, 676, 14721, 454, 296, 30002, 966, 8085, 301, 2207, 21764, 630, 309, 308, 1040, 12700, 827, 713, 3662, 269, 634, 15794, 595, 10635, 617, 850, 814, 513, 26483, 2110, 2879, 719, 267, 799, 568, 31555, 569, 17031, 693, 922, 9133, 267, 1152, 547, 2053, 1547, 595, 10635, 617, 559, 639, 5493, 755, 5142, 2443, 645, 5495, 299, 2894, 294, 2207, 744, 665, 1328, 331, 639, 5493, 755, 5142, 5493, 755, 5142, 2443, 667, 2207, 3198, 296, 312, 8980, 3201, 288, 595, 10635, 1328, 331, 639, 5493, 755, 5142, 5493, 755, 5142, 2443, 654, 2207, 300, 7473, 295, 269, 634, 631, 10212, 518, 568, 513, 5420, 13355, 25438, 850, 630, 10946, 3065, 3259, 269, 544, 1070, 543, 814, 519, 3376, 652, 2879, 719, 540, 1022, 2713, 4759, 540, 519, 12593, 595, 10635, 1328, 331, 639, 269, 898, 568, 21246, 958, 563, 347, 13775, 630, 8310, 2567, 1475, 279, 5437, 476, 1001, 273, 2008, 347, 14457, 11711, 12025, 10573, 277, 269, 11011, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1626, 269, 2764, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 18704, 713, 3239, 2443, 31674, 4687, 3681, 269, 634, 3376, 2879, 719, 540, 519, 544, 10212, 518, 2306, 621, 1413, 811, 899, 17328, 537, 1598, 529, 32613, 1807, 982, 513, 25438, 850, 267, 855, 519, 1804, 543, 7298, 8772, 5694, 6920, 602, 621, 568, 513, 3020, 25438, 850, 563, 763, 2212, 568, 6366, 609, 519, 4064, 267, 10772, 543, 19911, 337, 2812, 782, 593, 519, 1283, 547, 1450, 519, 544, 10212, 518, 547, 21477, 613, 519, 1964, 540, 519, 1560, 267, 855, 1869, 1832, 891, 10444, 8219, 1657, 519, 1216, 269, 634, 3750, 568, 6870, 676, 513, 2312, 3791, 22442, 573, 585, 14015, 5075, 267, 543, 519, 2842, 335, 6559, 666, 581, 726, 755, 5142, 609, 513, 1166, 777, 540, 2960, 547, 1450, 519, 25438, 850, 547, 4323, 14015, 1510, 15603, 1216, 883, 519, 9641, 563, 763, 544, 10212, 518, 814, 1357, 5523, 3952, 267, 855, 891, 616, 711, 1031, 538, 10977, 267, 607, 789, 616, 512, 26786, 1996, 519, 1560, 15029, 519, 6366, 2766, 4412, 1564, 519, 544, 10212, 518, 998, 519, 1216, 476, 274, 269, 4236, 32596, 616, 1769, 16009, 538, 5493, 639, 1598, 529, 609, 3109, 3444, 1532, 21505, 593, 519, 1560, 543, 2766, 855, 713, 535, 3547, 609, 5186, 1723, 343, 2643, 639, 607, 519, 1560, 3587, 15454, 547, 6960, 476, 273, 269, 631, 2297, 616, 3677, 982, 8951, 476, 274, 269, 634, 544, 10212, 518, 568, 513, 3810, 1514, 2249, 602, 31825, 998, 3308, 543, 2912, 1043, 6786, 267, 814, 513, 17282, 15796, 543, 15225, 16857, 640, 563, 300, 2297, 4278, 1662, 741, 21217, 543, 12740, 741, 2879, 8083, 547, 3715, 11182, 543, 2744, 17282, 1354, 10470, 1222, 543, 20282, 269, 2290, 3923, 1310, 20282, 267, 1063, 5988, 543, 4989, 267, 519, 4775, 23933, 476, 1015, 547, 476, 4366, 5798, 538, 513, 5493, 755, 3464, 328, 3135, 602, 1352, 7024, 547, 1169, 1032, 585, 1454, 540, 1200, 1272, 563, 290, 10635, 1328, 331, 639, 5493, 755, 5142, 1923, 634, 1234, 696, 850, 18482, 454, 5475, 476, 4649, 547, 476, 4037, 2395, 540, 29164, 1492, 5798, 24011, 543, 519, 24011, 13530, 616, 5645, 547, 1216, 676, 519, 4775, 543, 3006, 1256, 519, 5256, 476, 276, 269, 634, 3023, 540, 519, 24011, 13530, 568, 5462, 676, 519, 2837, 693, 799, 789, 17861, 622, 269, 631, 2297, 1267, 689, 5798, 17861, 730, 693, 634, 11174, 544, 10212, 619, 2611, 538, 519, 8513, 585, 909, 547, 513, 1032, 563, 5445, 3914, 4638, 15657, 693, 3670, 1296, 476, 276, 269, 631, 10212, 619, 8532, 12933, 30702, 514, 4167, 338, 543, 1507, 3165, 950, 1762, 267, 543, 1847, 593, 547, 513, 2732, 540, 3165, 267, 20883, 267, 12933, 30702, 18346, 267, 22171, 543, 25277, 538, 15296, 476, 273, 476, 276, 563, 2005, 729, 1336, 538, 16273, 267, 855, 568, 1631, 2219, 547, 581, 17255, 972, 476, 276, 269, 769, 4725, 1080, 15195, 12647, 267, 22253, 543, 23047, 1127, 267, 543, 949, 849, 581, 1336, 538, 23854, 267, 12555, 23668, 267, 1480, 13402, 22253, 543, 1256, 9381, 6070, 4248, 561, 6210, 976, 563, 763, 544, 10212, 518, 27422, 9425, 13719, 267, 9350, 7297, 513, 680, 755, 5142, 269, 631, 10212, 619, 723, 1044, 25438, 329, 331, 639, 538, 2757, 4095, 4915, 267, 543, 723, 1044, 32170, 585, 7328, 543, 585, 741, 2960, 267, 3226, 1282, 519, 521, 543, 521, 269, 15391, 532, 585, 741, 2960, 729, 519, 2101, 3815, 602, 8329, 547, 519, 7771, 540, 519, 544, 10212, 518, 267, 855, 621, 568, 1100, 3476, 519, 3119, 2604, 593, 713, 2249, 476, 276, 563, 295, 629, 18945, 9552, 585, 6694, 543, 4853, 1646, 476, 273, 1122, 326, 32456, 676, 3425, 543, 546, 20621, 538, 10068, 24437, 616, 519, 1699, 6937, 602, 3068, 519, 544, 10212, 518, 476, 276, 269, 2353, 3552, 5095, 540, 544, 10212, 518, 616, 16155, 6870, 267, 543, 2359, 3292, 5497, 547, 11177, 5095, 723, 1044, 1360, 3811, 476, 276, 563, 310, 7655, 27604, 9960, 3292, 723, 1964, 18088, 3552, 5095, 543, 1631, 723, 513, 21045, 540, 27604, 1532, 1042, 25438, 3796, 607, 5078, 7226, 568, 3908, 269, 634, 631, 10212, 518, 5004, 5741, 538, 3244, 559, 7625, 267, 3127, 729, 3323, 538, 543, 729, 2111, 547, 25580, 5095, 267, 1683, 544, 10212, 619, 585, 1964, 12177, 11992, 267, 543, 18992, 5555, 547, 8105, 519, 25438, 3796, 476, 277, 563, 2005, 949, 10691, 581, 1031, 1369, 29393, 563, 300, 10212, 518, 7044, 267, 6337, 543, 5013, 1107, 595, 10635, 1328, 331, 639, 5493, 755, 5142, 1923, 18206, 633, 454, 7069, 2752, 298, 633, 3091, 519, 16150, 1504, 4183, 547, 9896, 5346, 2818, 267, 3850, 596, 547, 10891, 707, 19463, 18206, 633, 2592, 543, 7044, 543, 2671, 873, 609, 2828, 269, 12243, 654, 6579, 291, 267, 606, 16918, 27805, 1258, 540, 2257, 27568, 267, 2115, 707, 948, 256, 6904, 2249, 616, 593, 519, 4155, 547, 6051, 286, 901, 2249, 568, 12286, 538, 519, 5375, 717, 1002, 338, 10357, 15696, 542, 269, 6435, 721, 2671, 519, 13300, 540, 519, 2067, 1158, 269, 14339, 757, 540, 1133, 639, 783, 12025, 269, 8187, 31653, 2060, 1107, 8751, 670, 809, 518, 281, 14811, 8124, 623, 732, 26152, 1107, 10552, 6816, 563, 22152, 778, 574, 3966, 345, 2465, 4621, 3569, 28291, 1103, 519, 12197, 18350, 16403, 1186, 299, 756, 4997, 22958, 919, 27146, 26331, 516, 4725, 10949, 25152, 1650, 32612, 5158, 32612, 5158, 4670, 27288, 31653, 16635, 269, 9523, 593, 9365, 570, 11548, 27189, 4757, 269, 4746, 1634, 607, 16340, 1606, 333, 719, 539, 25438, 850, 267, 4095, 32761, 25438, 850, 267, 22153, 25438, 850, 269, 1977, 25438, 850, 595, 10635, 1328, 331, 639, 1035, 583, 639, 269, 27000, 25438, 850, 595, 10635, 1328, 331, 639, 2247, 648, 985, 529, 563, 306, 5306, 4248, 25438, 850, 595, 10635, 1328, 331, 639, 11188, 657, 639, 269, 631, 10212, 518, 7350, 634, 544, 10212, 518, 568, 513, 3810, 1514, 2249, 602, 31825, 998, 3308, 543, 2912, 1043, 6786, 267, 814, 513, 17282, 15796, 543, 15225, 16857, 640, 563, 13349, 25243, 1673, 6621, 595, 10635, 582, 1335, 529, 22980, 628, 571, 20660, 269, 7354, 20235, 17824, 564, 841, 1772, 1013, 3120, 6845, 20235, 18424, 269, 4414, 268, 557, 1441, 546, 6621, 6641, 7065, 5300, 535, 976, 3712, 4861, 4512, 563, 300, 10212, 518, 7226, 769, 4725, 1080, 15195, 12647, 267, 22253, 543, 23047, 1127, 267, 543, 949, 849, 581, 1336, 538, 23854, 267, 12555, 23668, 267, 1480, 13402, 22253, 543, 1256, 9381, 6070, 4248, 561, 6210, 976, 269, 6519, 1922, 3166, 1200, 517, 661, 326, 21884, 320, 18051, 2801, 3128, 1633, 23706, 269, 4563, 512, 1716, 932, 331, 573, 517, 5362, 562, 9528, 269, 5871, 16719, 327, 1678, 6022, 755, 6319, 683, 321, 983, 807, 269, 631, 10212, 518, 6937, 631, 10212, 619, 723, 1044, 1031, 538, 2757, 4095, 4915, 267, 543, 723, 1044, 32170, 585, 7328, 543, 585, 741, 2960, 267, 3226, 1282, 519, 521, 543, 521, 269, 631, 10212, 518, 5726, 2353, 3552, 5095, 540, 544, 10212, 518, 616, 16155, 6870, 267, 543, 2359, 3292, 5497, 547, 11177, 5095, 723, 1044, 1360, 3811, 476, 276, 563, 8340, 856, 811, 1677, 1265, 856, 811, 827, 519, 544, 10212, 518, 543, 827, 519, 5726, 540, 25438, 559, 2103, 1294, 281, 24956, 1709, 901, 1344, 568, 32261, 17452, 676, 513, 2249, 4274, 267, 543, 786, 581, 8242, 607, 4166, 607, 2009, 563, 2252, 596, 616, 2111, 547, 948, 5225, 3346, 281, 3794, 27443, 595, 6412, 25445, 667, 5744, 1895, 540, 818, 6605, 16104, 513, 18105, 636, 540, 2831, 609, 4745, 539, 17873, 543, 513, 2182, 669, 527, 29532, 608, 18929, 13987, 27537, 676, 519, 15896, 540, 524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17970, 0, 1103, 922, 14724, 1106, 267, 9637, 568, 519, 4656, 540, 519, 6228, 540, 1312, 4835, 543, 5007, 4229, 563, 1432, 1772, 634, 3163, 2986, 634, 3647, 775, 2986, 3117, 4109, 1145, 888, 6097, 547, 670, 1380, 518, 331, 267, 5039, 1108, 729, 968, 1492, 2257, 540, 519, 9759, 540, 9637, 2223, 799, 10704, 593, 9837, 1275, 607, 513, 10747, 8984, 540, 9637, 563, 1432, 3657, 634, 476, 275, 2276, 2986, 3117, 4109, 1145, 888, 6097, 547, 13495, 4157, 5984, 772, 20725, 611, 267, 519, 9050, 2276, 540, 3117, 4109, 1145, 616, 24971, 267, 29681, 267, 2620, 3207, 267, 543, 512, 1722, 320, 630, 1492, 1533, 540, 21481, 1070, 799, 568, 519, 1533, 540, 2620, 3207, 563, 3674, 3117, 4109, 1145, 589, 11020, 6713, 4112, 7134, 888, 1103, 1931, 547, 581, 2808, 513, 4570, 3621, 8367, 267, 519, 4661, 602, 9637, 568, 513, 1184, 538, 519, 2634, 1590, 581, 4843, 538, 513, 10257, 6073, 269, 24729, 2006, 630, 4350, 273, 267, 533, 269, 3738, 6257, 9637, 607, 2901, 513, 1880, 1826, 540, 2623, 267, 971, 607, 10386, 610, 4881, 1394, 543, 8521, 563, 1432, 3657, 634, 476, 276, 9537, 2986, 3117, 4109, 1145, 888, 763, 1523, 540, 9637, 563, 1432, 3657, 634, 476, 274, 6399, 902, 2986, 3117, 4109, 1145, 888, 1103, 22506, 779, 2070, 267, 9637, 568, 5258, 883, 1614, 2157, 281, 6857, 267, 840, 10940, 267, 543, 17499, 563, 1432, 1772, 634, 6301, 8672, 2986, 26263, 1580, 1108, 888, 763, 6138, 540, 5039, 1108, 267, 799, 12090, 538, 519, 476, 736, 628, 2540, 267, 568, 7255, 609, 519, 1463, 7634, 543, 6609, 540, 9259, 607, 789, 616, 4810, 267, 1510, 6436, 827, 741, 21465, 3137, 543, 607, 1863, 607, 2009, 689, 5805, 600, 1441, 10054, 563, 1432, 1772, 26263, 1580, 1670, 7869, 888, 1103, 7209, 3069, 267, 519, 2243, 540, 606, 1367, 779, 1699, 2833, 609, 2933, 543, 741, 1158, 568, 693, 519, 4099, 540, 519, 2079, 540, 741, 8647, 543, 4657, 7209, 563, 1432, 1772, 634, 11660, 5530, 2986, 634, 12708, 23113, 2986, 3117, 4109, 1145, 888, 6097, 547, 670, 1380, 518, 331, 267, 5039, 1108, 568, 519, 1353, 540, 9637, 685, 1898, 3889, 998, 3621, 14374, 563, 1432, 1772, 26263, 1580, 1108, 769, 11822, 16301, 888, 2005, 568, 4122, 6956, 602, 6138, 568, 7255, 609, 519, 1353, 540, 9259, 607, 789, 8915, 538, 938, 1995, 267, 607, 789, 616, 9228, 543, 6956, 267, 543, 607, 789, 723, 538, 938, 16148, 1995, 269, 4340, 547, 519, 1739, 3948, 267, 5039, 1108, 568, 519, 1353, 540, 606, 1367, 779, 1272, 1995, 538, 519, 1158, 563, 1692, 6496, 634, 11020, 2637, 4733, 3117, 4109, 1145, 888, 6097, 547, 9565, 6436, 267, 9637, 568, 5462, 676, 875, 1134, 519, 2634, 5806, 7149, 1063, 513, 1808, 10444, 3403, 543, 513, 1804, 1297, 540, 8925, 267, 899, 1373, 2111, 547, 3442, 835, 6364, 936, 1082, 1866, 563, 1432, 1772, 634, 20556, 9737, 3117, 4109, 1145, 1656, 634, 11020, 888, 763, 2634, 1281, 711, 3132, 9637, 267, 855, 621, 1281, 1852, 824, 5615, 267, 971, 607, 1346, 602, 616, 6417, 676, 621, 269, 9442, 267, 1404, 267, 543, 2645, 616, 519, 1614, 3334, 540, 3662, 2623, 602, 3565, 547, 1480, 9637, 563, 8489, 6496, 3117, 7220, 22067, 3245, 769, 634, 11020, 888, 14722, 723, 1634, 585, 513, 1279, 942, 602, 9637, 568, 8200, 593, 519, 19548, 16794, 269, 11576, 800, 2833, 616, 15427, 676, 513, 2048, 14653, 7997, 685, 538, 519, 2634, 779, 17911, 21571, 267, 2687, 547, 1007, 1382, 269, 0, 18933, 9994, 532, 7965, 616, 1455, 538, 1082, 2175, 269, 1403, 707, 24948, 568, 7930, 4742, 8338, 267, 1865, 713, 609, 513, 1072, 1416, 3318, 630, 1122, 707, 4387, 610, 12016, 1040, 2659, 1426, 949, 991, 547, 581, 11792, 1117, 610, 3857, 600, 2213, 267, 543, 10425, 949, 991, 547, 581, 5394, 2989, 563, 763, 12016, 610, 4387, 949, 2307, 513, 4633, 2619, 6048, 585, 5796, 827, 707, 2115, 269, 16594, 2619, 5505, 948, 1544, 2081, 538, 799, 6980, 543, 10425, 666, 581, 10150, 9108, 563, 2252, 596, 1020, 24948, 7965, 267, 621, 949, 948, 547, 912, 268, 3548, 538, 513, 9602, 4055, 609, 1100, 19240, 454, 268, 1491, 1507, 5023, 995, 338, 543, 3548, 7444, 454, 268, 2057, 6158, 1247, 4189, 454, 268, 1118, 2386, 596, 723, 4625, 15179, 539, 1142, 5023, 995, 1354, 2921, 1776, 454, 268, 1694, 20005, 609, 519, 707, 2212, 4464, 630, 773, 711, 10709, 532, 1394, 264, 1282, 519, 7594, 610, 4235, 267, 543, 585, 693, 2547, 476, 1789, 3764, 19952, 563, 1320, 1157, 2287, 10425, 543, 3857, 600, 2358, 1426, 568, 2693, 547, 948, 950, 606, 4587, 1268, 814, 24948, 7965, 269, 13185, 547, 519, 1072, 1416, 3318, 827, 713, 1317, 513, 1544, 585, 519, 1367, 786, 991, 547, 581, 2919, 630, 1122, 513, 1880, 4110, 540, 5394, 2287, 786, 581, 5227, 585, 10425, 1916, 2252, 24948, 2042, 1020, 10393, 267, 3346, 513, 1072, 1416, 3318, 1318, 2476, 269, 0, 4263, 4332, 267, 707, 1126, 2907, 814, 3592, 782, 540, 519, 11409, 789, 3580, 991, 585, 519, 1964, 540, 741, 2729, 267, 1256, 1498, 741, 12058, 616, 1152, 476, 1839, 260, 519, 2450, 540, 606, 2937, 2634, 269, 2311, 1175, 1614, 1296, 2025, 267, 707, 1126, 779, 2634, 786, 581, 827, 476, 3199, 260, 519, 2450, 540, 606, 2937, 2634, 269, 25595, 6840, 1451, 1919, 811, 3533, 982, 4079, 798, 1317, 540, 519, 6073, 538, 799, 741, 2634, 3252, 563, 272, 269, 25478, 281, 4107, 20854, 666, 1293, 2338, 269, 634, 1523, 799, 2591, 741, 2634, 568, 835, 1141, 789, 2461, 8572, 547, 10146, 602, 23079, 1810, 1406, 2141, 2995, 519, 2898, 1650, 269, 1403, 513, 18061, 540, 1919, 5654, 8273, 267, 789, 786, 8263, 972, 616, 811, 3615, 538, 602, 18061, 1256, 952, 519, 1297, 568, 519, 1482, 269, 6435, 873, 1174, 676, 10203, 519, 3615, 538, 1142, 1895, 269, 901, 786, 1491, 930, 942, 547, 1451, 267, 865, 1810, 1406, 581, 14281, 952, 707, 1126, 1869, 3085, 1406, 3494, 596, 269, 901, 2634, 3635, 568, 513, 1390, 1565, 2534, 585, 20854, 563, 273, 269, 5381, 885, 543, 3604, 281, 3776, 1126, 786, 581, 2111, 547, 5431, 3270, 998, 1079, 7317, 3756, 267, 1775, 4318, 269, 12805, 543, 5544, 519, 3017, 267, 519, 5449, 6087, 519, 1126, 547, 6474, 519, 3615, 799, 616, 2147, 538, 2470, 269, 9255, 3670, 9162, 609, 1079, 9162, 1373, 540, 513, 1114, 2450, 538, 4395, 540, 1864, 17017, 269, 1411, 666, 2307, 707, 22525, 547, 1895, 519, 3283, 602, 616, 2147, 538, 2470, 269, 634, 8545, 1523, 540, 31986, 519, 3017, 568, 1141, 519, 22525, 16137, 547, 5469, 519, 3017, 1063, 1079, 3615, 269, 6270, 2238, 8756, 707, 1126, 779, 2634, 6329, 563, 274, 269, 11576, 800, 281, 1306, 2048, 327, 1343, 6823, 685, 3237, 267, 649, 3343, 2048, 327, 1343, 6823, 2048, 716, 8481, 543, 10444, 1404, 13352, 519, 3915, 269, 1411, 1223, 946, 4277, 18282, 267, 4778, 267, 2575, 267, 543, 3536, 547, 948, 4497, 547, 4497, 741, 12823, 269, 589, 10444, 3349, 609, 2326, 610, 3615, 799, 1450, 519, 1126, 547, 946, 741, 4064, 267, 10772, 267, 9224, 267, 5023, 543, 3946, 666, 581, 5116, 538, 911, 903, 585, 513, 1187, 1995, 269, 3629, 513, 4763, 540, 10444, 2833, 543, 8716, 10444, 3408, 693, 713, 942, 269, 3629, 513, 4763, 540, 10444, 2833, 543, 8716, 10444, 3408, 693, 713, 942, 563, 275, 269, 9046, 9010, 2238, 281, 9046, 9010, 568, 513, 5578, 1305, 1031, 676, 707, 4816, 602, 16621, 1010, 610, 1200, 2702, 547, 13498, 267, 1589, 267, 543, 2744, 1620, 827, 1010, 610, 1200, 1158, 282, 1519, 19551, 543, 3375, 6194, 563, 272, 269, 7591, 32708, 8584, 1532, 5622, 563, 273, 269, 7591, 12404, 7146, 5498, 2131, 609, 3615, 563, 274, 269, 7591, 609, 13410, 267, 7161, 267, 610, 5373, 2326, 563, 275, 269, 6435, 707, 1126, 968, 31095, 892, 1010, 1378, 1433, 676, 1603, 1010, 1913, 1247, 646, 610, 1352, 14405, 519, 5961, 563, 276, 269, 17546, 519, 1913, 281, 593, 267, 896, 267, 3297, 267, 1472, 676, 4730, 3756, 899, 2048, 8245, 517, 590, 904, 17483, 277, 269, 3629, 513, 968, 323, 816, 5346, 892, 4216, 585, 707, 1126, 585, 19511, 1404, 563, 277, 269, 5295, 540, 15819, 281, 7726, 532, 568, 513, 3532, 1907, 547, 3136, 547, 1020, 7279, 538, 707, 1126, 269, 1879, 707, 22525, 12134, 2048, 25585, 685, 593, 741, 1378, 267, 4543, 873, 1451, 547, 2307, 519, 1318, 2055, 543, 3589, 519, 4267, 786, 581, 513, 3407, 5578, 585, 873, 547, 1451, 563, 278, 269, 27884, 267, 10221, 1431, 543, 22214, 344, 916, 281, 9105, 707, 1126, 547, 2995, 513, 1650, 269, 27884, 568, 513, 3532, 1907, 540, 1582, 22523, 267, 2792, 269, 1403, 596, 1616, 547, 948, 707, 1126, 3314, 1919, 1732, 267, 2307, 873, 547, 2995, 596, 513, 1650, 827, 1919, 602, 723, 5949, 547, 873, 563, 279, 269, 3115, 564, 819, 281, 898, 568, 513, 2241, 1259, 585, 873, 547, 7794, 4296, 538, 741, 2634, 543, 27655, 4277, 2984, 610, 1271, 1344, 563, 280, 269, 4889, 725, 267, 4296, 267, 543, 22214, 344, 916, 281, 11242, 1331, 5373, 5961, 602, 2270, 11052, 11269, 540, 606, 2856, 267, 2870, 606, 2653, 3562, 3146, 332, 1897, 27099, 267, 610, 1997, 908, 27217, 2093, 609, 811, 3078, 3283, 563, 18662, 543, 1585, 9251, 2238, 786, 948, 513, 2603, 609, 519, 1646, 540, 519, 2634, 269, 634, 1585, 2238, 7396, 1657, 1683, 616, 2386, 547, 948, 596, 2743, 707, 22525, 779, 19325, 563, 763, 28982, 2296, 8866, 685, 813, 2636, 707, 1126, 547, 2243, 998, 519, 476, 276, 654, 779, 13296, 519, 2055, 616, 4280, 585, 1142, 1650, 593, 519, 813, 269, 634, 813, 6663, 693, 1210, 9423, 607, 513, 1907, 547, 2087, 707, 1126, 779, 6863, 2208, 269, 634, 3102, 1305, 540, 30053, 5849, 707, 1126, 16137, 998, 5872, 269, 2659, 1126, 973, 565, 937, 338, 1543, 609, 519, 4806, 543, 519, 3756, 616, 2966, 547, 5512, 873, 547, 6474, 519, 2953, 2626, 547, 513, 4605, 269, 0, 8505, 528, 281, 661, 11445, 808, 6759, 345, 1030, 578, 545, 345, 1923, 853, 1258, 344, 281, 476, 13040, 1700, 15686, 1923, 20396, 281, 476, 1015, 269, 14096, 4037, 27582, 339, 644, 9199, 341, 269, 3451, 269, 23669, 454, 763, 11269, 540, 782, 519, 10971, 593, 519, 7262, 3774, 540, 519, 5800, 4815, 540, 5136, 601, 529, 802, 538, 670, 1846, 515, 1186, 583, 779, 11454, 693, 1546, 597, 1714, 5174, 1695, 926, 941, 10032, 1282, 519, 2549, 541, 3534, 1974, 543, 17468, 896, 519, 12081, 540, 10548, 612, 525, 4083, 269, 769, 713, 1957, 267, 519, 1202, 18587, 1644, 547, 1346, 1964, 32590, 616, 29499, 593, 267, 2059, 609, 513, 1305, 540, 16702, 842, 328, 6537, 593, 3768, 1815, 528, 730, 7161, 2630, 519, 546, 5964, 3515, 269, 8409, 16702, 842, 328, 267, 540, 8795, 2298, 267, 2099, 519, 5601, 2549, 684, 269, 5221, 540, 741, 4087, 543, 1106, 789, 941, 4440, 2048, 6135, 2610, 4808, 685, 585, 519, 9380, 832, 556, 2275, 11661, 519, 10032, 2592, 540, 519, 5601, 269, 634, 1957, 779, 2832, 568, 547, 11028, 325, 3305, 519, 6580, 540, 519, 1964, 32590, 538, 713, 851, 540, 519, 11454, 543, 1865, 519, 2009, 4128, 585, 519, 16702, 842, 328, 5137, 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 ]
[ 29171, 15664, 26063, 1765, 12671, 3584, 6659, 267, 971, 607, 1153, 454, 24830, 610, 3160, 2463, 585, 6690, 543, 8695, 269, 4475, 2676, 28205, 616, 711, 519, 5767, 535, 997, 802, 4730, 693, 707, 2199, 21576, 267, 855, 454, 5035, 545, 9413, 543, 16618, 21889, 596, 666, 4585, 1927, 693, 1753, 563, 296, 3357, 547, 4670, 2864, 3735, 538, 454, 5158, 269, 594, 1185, 711, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 27258, 1299, 9093, 1315, 28527, 6361, 5025, 613, 24079, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 634, 4055, 729, 5230, 609, 16563, 267, 4688, 585, 519, 17573, 15309, 548, 540, 7432, 3817, 269, 674, 542, 320, 2893, 593, 519, 12816, 6186, 24316, 676, 519, 6885, 267, 11303, 676, 588, 2931, 540, 2025, 8666, 11549, 4548, 269, 4173, 11263, 14360, 936, 519, 535, 12184, 2592, 267, 1142, 835, 10213, 513, 1650, 540, 922, 1378, 780, 288, 2571, 22545, 29169, 1200, 26871, 773, 269, 589, 1762, 4807, 533, 12097, 1200, 2212, 998, 519, 7450, 267, 1200, 4064, 4904, 609, 7279, 269, 834, 300, 558, 267, 1018, 616, 596, 3257, 8119, 1352, 4280, 267, 19480, 883, 519, 4055, 780, 293, 542, 320, 6743, 909, 267, 513, 19911, 531, 11551, 12837, 4730, 593, 1200, 17534, 269, 834, 9617, 21523, 1424, 2437, 1352, 14452, 267, 14656, 606, 17581, 609, 513, 9543, 555, 644, 269, 2701, 13603, 909, 513, 8523, 267, 1688, 532, 621, 547, 1200, 8250, 269, 898, 4951, 513, 7820, 4528, 540, 674, 542, 320, 267, 7555, 1985, 547, 513, 7381, 812, 267, 1312, 540, 873, 1989, 15619, 4922, 1996, 513, 20457, 540, 26009, 4054, 780, 15463, 8250, 6594, 519, 4605, 267, 1287, 5828, 15819, 4064, 2509, 1200, 3993, 269, 834, 8005, 781, 713, 12482, 257, 6546, 781, 707, 4651, 2437, 674, 542, 320, 1767, 28663, 267, 1200, 5639, 18923, 1657, 513, 22090, 704, 269, 834, 2171, 1031, 547, 6108, 938, 32300, 19482, 543, 2921, 5961, 3010, 15463, 8250, 535, 27547, 267, 10539, 31960, 593, 1200, 3068, 269, 834, 3719, 1946, 5749, 1405, 972, 1022, 2487, 3283, 286, 1411, 1079, 941, 865, 6126, 1934, 907, 3010, 293, 542, 320, 521, 19042, 267, 3168, 2476, 269, 834, 10144, 1689, 267, 15210, 269, 1284, 14201, 1405, 2141, 5921, 547, 3251, 1927, 3010, 5445, 8593, 14980, 1586, 267, 4503, 538, 741, 4555, 269, 2991, 513, 1247, 267, 674, 542, 320, 13264, 519, 16563, 269, 834, 2791, 917, 267, 891, 11147, 1862, 16269, 2811, 811, 982, 1175, 8823, 269, 1358, 2811, 6169, 540, 945, 649, 2899, 941, 267, 945, 649, 8359, 547, 1831, 3010, 9515, 11329, 693, 1776, 4605, 267, 6029, 1200, 4805, 267, 8254, 538, 1688, 267, 6849, 513, 18198, 5251, 269, 834, 1607, 729, 3144, 1310, 646, 2451, 269, 6733, 693, 1250, 3068, 910, 972, 781, 1928, 267, 9811, 267, 855, 849, 8990, 269, 2334, 781, 950, 594, 4956, 547, 11654, 10344, 2407, 6066, 267, 547, 2490, 1945, 11213, 883, 1945, 4190, 3010, 15463, 8250, 21330, 267, 1620, 546, 27681, 538, 1200, 4064, 269, 1306, 1352, 14478, 1200, 3993, 16212, 998, 519, 11549, 4548, 267, 1352, 7691, 602, 1169, 8523, 4371, 513, 4514, 2495, 267, 8272, 337, 1681, 711, 1152, 674, 542, 320, 781, 3460, 855, 849, 1200, 6043, 543, 10100, 780, 9961, 519, 1296, 267, 674, 542, 320, 1185, 9676, 1272, 781, 7904, 7566, 8090, 267, 13321, 873, 883, 15889, 4773, 540, 3965, 269, 3962, 4945, 540, 1200, 9505, 614, 6719, 513, 3903, 267, 513, 15266, 547, 1200, 4720, 607, 513, 1268, 269, 1656, 4352, 930, 10092, 3366, 547, 4666, 7475, 267, 1866, 19806, 15701, 883, 1007, 20297, 267, 7206, 513, 12667, 17855, 540, 513, 1272, 5030, 4628, 543, 6461, 1227, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 568, 519, 4644, 540, 674, 542, 320, 781, 11147, 689, 741, 2038, 2395, 543, 875, 798, 789, 2992, 1200, 4606, 543, 4664, 607, 519, 5756, 723, 5293, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 519, 1808, 2796, 610, 3877, 5018, 538, 707, 2243, 269, 1717, 267, 3622, 6340, 267, 674, 542, 320, 781, 11147, 689, 741, 2038, 2395, 666, 581, 1713, 538, 1896, 2081, 269, 8528, 20058, 267, 789, 666, 4196, 607, 513, 3308, 6041, 540, 674, 542, 320, 781, 8823, 543, 2833, 689, 602, 942, 1974, 269, 634, 11147, 949, 7001, 8090, 540, 7772, 267, 2648, 267, 543, 11505, 602, 3180, 2366, 14939, 1871, 547, 1200, 269, 8528, 30772, 267, 519, 11147, 949, 2992, 674, 542, 320, 781, 3929, 1533, 1282, 602, 942, 267, 607, 519, 5396, 543, 5888, 540, 1200, 11147, 949, 5815, 1200, 4690, 267, 14422, 267, 543, 2123, 2511, 269, 1280, 1383, 267, 952, 1352, 3576, 1082, 6337, 540, 8916, 610, 2831, 267, 621, 949, 2303, 513, 22906, 609, 2470, 267, 1247, 952, 1352, 3576, 1082, 6337, 540, 1004, 267, 621, 949, 2303, 513, 2178, 1514, 4276, 269, 8528, 2026, 519, 5756, 723, 5293, 267, 674, 542, 320, 781, 943, 334, 10640, 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, 4495, 2390, 513, 942, 267, 538, 519, 2749, 540, 22768, 267, 972, 5030, 1079, 2516, 540, 2828, 910, 519, 17318, 623, 1023, 543, 519, 9335, 12829, 8293, 611, 269, 1358, 782, 6068, 8384, 7641, 2982, 1927, 1310, 1153, 267, 2523, 834, 763, 7464, 2622, 257, 543, 834, 3412, 698, 2435, 14886, 1701, 1452, 2982, 5280, 873, 1174, 1004, 781, 5615, 543, 4664, 1732, 269, 1809, 835, 1554, 267, 789, 16686, 2390, 1079, 1007, 3126, 1572, 834, 763, 18514, 257, 543, 834, 763, 590, 641, 3757, 657, 2437, 799, 1185, 811, 7294, 2984, 982, 1022, 1397, 789, 1185, 2479, 2938, 2439, 1103, 834, 763, 18514, 2437, 3025, 14437, 899, 1483, 1004, 267, 1256, 950, 7234, 3978, 1919, 899, 6760, 543, 5126, 269, 898, 1500, 938, 17318, 623, 1023, 8049, 827, 1946, 1004, 13789, 8335, 896, 1585, 6381, 269, 2290, 1554, 267, 789, 4362, 1945, 4241, 1247, 11287, 2831, 693, 519, 23291, 1107, 930, 7068, 1689, 4778, 1759, 593, 741, 7099, 610, 1604, 256, 3807, 899, 3425, 267, 891, 3662, 14624, 948, 873, 7639, 543, 5968, 3927, 1932, 780, 19602, 267, 936, 538, 519, 9335, 12829, 8293, 611, 7944, 267, 2818, 2968, 1266, 1484, 539, 538, 834, 763, 590, 641, 3757, 657, 2580, 1141, 1920, 6384, 6404, 609, 7803, 2238, 2813, 3833, 519, 13489, 269, 901, 3893, 873, 3206, 827, 1949, 543, 3889, 282, 2436, 621, 729, 513, 4254, 1920, 610, 5117, 267, 1142, 851, 5129, 606, 1898, 1909, 269, 1879, 6313, 2030, 2249, 1282, 513, 2470, 30382, 267, 789, 7691, 1169, 11248, 31030, 593, 1866, 585, 6668, 1107, 1454, 899, 519, 25872, 1336, 1369, 3885, 543, 2950, 3254, 538, 834, 763, 590, 641, 3757, 657, 6231, 2026, 2395, 5828, 883, 4374, 267, 1312, 2516, 4121, 3407, 4245, 711, 1152, 689, 519, 4798, 4843, 676, 891, 2982, 855, 849, 689, 7311, 3621, 3741, 1644, 547, 1480, 2623, 543, 11528, 4205, 269, 1717, 267, 513, 6727, 20185, 546, 1177, 2740, 593, 873, 1107, 5103, 1620, 891, 2035, 267, 7526, 7283, 796, 637, 9407, 269, 17235, 1869, 11478, 538, 2486, 267, 543, 9620, 30174, 1851, 2713, 7919, 269, 5020, 3884, 1405, 2141, 607, 28426, 26437, 607, 513, 7641, 12558, 282, 3006, 267, 2042, 561, 5424, 1510, 7525, 3435, 269, 16480, 267, 789, 12247, 539, 547, 3136, 1565, 543, 3395, 267, 15691, 602, 14693, 267, 789, 1223, 1118, 513, 3017, 538, 741, 2370, 2081, 269, 1656, 865, 267, 938, 12703, 7045, 3464, 5645, 4464, 267, 11439, 609, 1702, 267, 6568, 267, 543, 8990, 267, 4712, 547, 3068, 8726, 3357, 1985, 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, 6944, 2858, 519, 1603, 6163, 538, 634, 18514, 543, 634, 590, 641, 3757, 657, 543, 875, 789, 1711, 1950, 267, 3818, 2000, 599, 1229, 6386, 563, 763, 18514, 543, 634, 590, 641, 3757, 657, 616, 1079, 2442, 8613, 3126, 267, 1634, 585, 741, 1950, 267, 3818, 2000, 599, 1229, 6386, 269, 2755, 1312, 2982, 723, 10486, 538, 2474, 540, 741, 9423, 1935, 267, 741, 1603, 6163, 8428, 3648, 780, 763, 18514, 568, 1634, 585, 922, 17779, 543, 3007, 547, 1469, 269, 634, 1603, 2511, 568, 6353, 676, 513, 2178, 8561, 593, 1915, 1646, 267, 799, 2337, 547, 1711, 513, 3638, 543, 15138, 1158, 602, 568, 1312, 27497, 1399, 543, 8076, 269, 634, 1397, 781, 15888, 267, 6424, 17363, 543, 3798, 31293, 267, 941, 1312, 5449, 20859, 267, 543, 713, 568, 10630, 538, 741, 1603, 2511, 267, 799, 568, 8185, 6766, 676, 1875, 27395, 1603, 269, 634, 1397, 781, 2239, 568, 9141, 676, 519, 25029, 540, 519, 22768, 7128, 8257, 267, 799, 568, 17814, 607, 513, 1950, 3684, 609, 1082, 3001, 2694, 780, 4002, 519, 824, 1688, 267, 634, 590, 641, 3757, 657, 568, 1634, 585, 922, 1950, 1915, 3347, 543, 6946, 28321, 269, 634, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8702, 547, 938, 5691, 8047, 256, 4653, 649, 3513, 2263, 519, 4241, 1158, 540, 21655, 269, 5994, 1373, 513, 19792, 3843, 547, 4194, 13655, 267, 855, 3079, 540, 1210, 9416, 21646, 610, 5027, 5439, 267, 649, 946, 1769, 547, 10625, 1344, 827, 1114, 2326, 269, 2334, 781, 1018, 4715, 14029, 641, 1235, 798, 1169, 1554, 2439, 306, 1051, 18122, 3322, 26124, 1769, 5196, 513, 1570, 543, 4974, 519, 4778, 602, 25483, 1394, 269, 3962, 2681, 6645, 721, 1945, 2189, 827, 519, 1570, 781, 2497, 543, 5888, 269, 1677, 1174, 713, 1732, 267, 1577, 781, 2932, 513, 2241, 4603, 269, 5192, 513, 24388, 610, 1256, 513, 2312, 4837, 7131, 2013, 543, 979, 3544, 593, 513, 13566, 1554, 269, 1744, 710, 7943, 998, 621, 543, 7747, 519, 4190, 22774, 17729, 593, 519, 2666, 269, 901, 568, 1572, 24980, 910, 3043, 1769, 24590, 883, 922, 1367, 4778, 780, 3086, 1589, 540, 1142, 2681, 607, 8876, 1808, 10881, 827, 519, 1570, 621, 2170, 539, 609, 1354, 8757, 707, 4064, 269, 1280, 1383, 267, 930, 2326, 949, 10110, 811, 4544, 1769, 982, 2699, 267, 4657, 519, 8515, 540, 891, 4778, 538, 519, 10630, 1769, 269, 1635, 7421, 891, 3270, 267, 3744, 666, 2697, 7164, 6878, 543, 1451, 875, 789, 13789, 896, 1585, 2175, 780, 1103, 938, 12286, 22475, 267, 3173, 693, 9919, 20670, 14110, 946, 4359, 4715, 14029, 8084, 2553, 899, 28264, 21655, 543, 22263, 17992, 5606, 14518, 15190, 18122, 630, 293, 2316, 305, 264, 547, 8495, 6198, 14296, 543, 4837, 268, 1356, 600, 923, 269, 1452, 2027, 2326, 723, 9058, 3601, 971, 607, 4657, 3337, 950, 12699, 610, 22799, 267, 17527, 1978, 20966, 540, 1769, 267, 610, 1256, 4742, 11275, 1242, 256, 4197, 741, 11580, 1223, 1291, 547, 10124, 538, 2029, 267, 4915, 267, 543, 1648, 2504, 780, 2690, 3236, 267, 4952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 19386, 563, 6977, 275, 281, 634, 12425, 9412, 13813, 7577, 3587, 519, 1101, 3282, 2754, 538, 519, 2475, 454, 6977, 275, 281, 2051, 5028, 15435, 538, 5507, 5532, 547, 13572, 1216, 676, 3220, 269, 3627, 16176, 269, 634, 8851, 540, 519, 6802, 11804, 548, 693, 519, 16340, 9335, 1134, 15286, 1004, 689, 6704, 519, 13572, 1216, 543, 11074, 519, 15435, 563, 6977, 276, 281, 18148, 590, 650, 27332, 267, 540, 1715, 670, 13273, 267, 21086, 267, 3489, 338, 3407, 2472, 676, 1253, 3739, 19386, 269, 1358, 1331, 282, 13545, 267, 562, 7469, 11209, 2940, 267, 17405, 267, 543, 1585, 30177, 563, 6977, 277, 281, 29817, 572, 1067, 1821, 2478, 513, 1184, 547, 1118, 5641, 5374, 593, 513, 1804, 4336, 676, 25738, 2011, 998, 24268, 6477, 4401, 547, 6633, 519, 3327, 543, 2226, 519, 4611, 5374, 24268, 563, 6977, 277, 281, 16418, 532, 547, 1118, 513, 12990, 585, 844, 24100, 267, 519, 1101, 5841, 606, 559, 710, 5755, 13545, 20004, 568, 2919, 676, 5261, 670, 269, 3131, 7219, 563, 6977, 279, 281, 17054, 518, 747, 4864, 918, 2131, 592, 2946, 13153, 853, 2784, 517, 6308, 23083, 602, 3327, 8444, 666, 1106, 11800, 563, 6977, 280, 281, 634, 1101, 20749, 3811, 2475, 3282, 1134, 568, 1743, 2683, 676, 661, 269, 700, 269, 19537, 651, 2282, 570, 7978, 6807, 267, 12425, 269, 901, 476, 3583, 3723, 1134, 31782, 519, 19386, 2872, 563, 5908, 271, 281, 4438, 519, 3689, 4139, 6837, 540, 11061, 538, 10127, 3149, 745, 515, 267, 2052, 11170, 16619, 4843, 1007, 2409, 3313, 10570, 12035, 282, 27488, 2597, 540, 476, 1626, 729, 7550, 607, 7893, 4493, 540, 3693, 12035, 267, 3976, 4259, 25756, 781, 2597, 267, 519, 1769, 652, 1634, 3693, 267, 547, 5111, 476, 272, 563, 5908, 271, 281, 8402, 30854, 584, 10351, 3069, 540, 2068, 4838, 3278, 2035, 540, 6925, 543, 1857, 1072, 563, 12803, 2517, 270, 291, 347, 270, 335, 2378, 14150, 2593, 270, 4178, 270, 20931, 10774, 22710, 11258, 630, 276, 540, 476, 736, 264, 1496, 280, 270, 1839, 270, 1220, 271, 476, 1556, 281, 4391, 281, 6349, 6751, 316, 3778, 540, 932, 5319, 281, 7033, 5202, 476, 5908, 274, 281, 29527, 3752, 341, 599, 3501, 338, 1010, 1505, 585, 6721, 9770, 22833, 12365, 622, 563, 5908, 274, 281, 634, 3703, 2229, 10596, 519, 834, 2704, 330, 8932, 3718, 2920, 257, 538, 606, 3801, 547, 1852, 2825, 5434, 563, 5908, 275, 281, 21321, 560, 12794, 2131, 601, 14592, 519, 1898, 2609, 540, 2413, 18186, 1670, 8760, 563, 5908, 275, 281, 8402, 30854, 584, 781, 23542, 819, 540, 519, 14985, 540, 21245, 5108, 563, 5908, 275, 281, 21321, 560, 1530, 344, 2401, 5340, 519, 1101, 16358, 1436, 540, 513, 3940, 281, 24562, 563, 5908, 276, 281, 634, 6406, 2782, 630, 5908, 272, 268, 4792, 264, 7475, 563, 5908, 276, 281, 17054, 518, 747, 4864, 918, 2131, 592, 2946, 3457, 513, 8258, 2203, 585, 519, 7293, 4542, 540, 22904, 2940, 563, 5908, 276, 281, 634, 1101, 2475, 19386, 18180, 568, 3710, 689, 606, 3282, 2361, 2282, 570, 7978, 6807, 267, 12425, 547, 513, 7404, 16456, 563, 5908, 277, 281, 13552, 924, 568, 2919, 676, 21238, 17587, 563, 5908, 277, 281, 8426, 592, 1355, 568, 11827, 676, 513, 3703, 16724, 3957, 12138, 5244, 525, 9497, 763, 12429, 540, 1773, 10415, 257, 1916, 5908, 277, 281, 15535, 528, 21780, 601, 3370, 1010, 13753, 593, 2030, 29528, 543, 519, 18472, 540, 834, 2399, 832, 8487, 5908, 277, 281, 21321, 560, 26081, 5341, 12794, 2131, 601, 24370, 3278, 602, 519, 22140, 540, 513, 1591, 18993, 1080, 922, 22420, 1344, 269, 1261, 729, 519, 1101, 1210, 519, 2165, 834, 1815, 1108, 257, 547, 4766, 519, 1353, 540, 2713, 7103, 543, 741, 4205, 609, 824, 7103, 543, 609, 741, 1604, 563, 5908, 278, 281, 634, 7392, 23116, 568, 11827, 563, 5908, 279, 281, 8176, 16817, 11840, 730, 519, 3069, 540, 533, 836, 523, 8412, 563, 5908, 279, 281, 14639, 23837, 324, 645, 748, 28410, 3534, 738, 11329, 856, 602, 2371, 2154, 5135, 585, 519, 15591, 563, 5908, 280, 281, 667, 2466, 686, 21780, 25279, 16660, 742, 3370, 513, 3114, 2609, 11460, 3349, 269, 901, 568, 519, 4493, 540, 519, 1134, 1634, 13350, 3349, 563, 5908, 280, 281, 634, 3690, 11666, 1581, 21805, 568, 6192, 607, 519, 13642, 1975, 833, 568, 9141, 538, 693, 8871, 2632, 800, 8672, 267, 18096, 563, 5908, 280, 281, 8426, 592, 1355, 729, 3812, 676, 3627, 5754, 3430, 538, 19186, 1415, 267, 1715, 3840, 269, 634, 14634, 3357, 827, 1317, 540, 513, 3406, 585, 606, 32334, 12990, 602, 1223, 581, 1031, 547, 1118, 3915, 328, 731, 11084, 269, 8426, 592, 1355, 729, 519, 1101, 10991, 5068, 547, 4309, 2647, 5010, 946, 563, 6942, 271, 281, 3807, 639, 13153, 17389, 321, 1122, 6069, 602, 782, 7542, 906, 941, 3114, 6547, 2864, 982, 4105, 25372, 563, 6942, 272, 281, 2977, 534, 17054, 518, 747, 631, 625, 7815, 9678, 513, 6219, 799, 646, 1572, 834, 333, 16197, 514, 257, 689, 519, 22140, 540, 3043, 1973, 2281, 269, 901, 6219, 3357, 547, 581, 1634, 607, 31332, 3679, 563, 6942, 273, 281, 14161, 17054, 518, 747, 12070, 1335, 32400, 543, 661, 706, 731, 26172, 6686, 978, 518, 6594, 519, 3154, 5385, 1184, 538, 519, 1973, 543, 4951, 602, 16617, 4386, 538, 519, 8031, 2864, 982, 538, 519, 1973, 563, 12803, 2517, 270, 291, 347, 270, 335, 2378, 14150, 2593, 270, 4178, 270, 20931, 10774, 22710, 11258, 630, 277, 540, 476, 736, 264, 1496, 280, 270, 1839, 270, 1220, 271, 476, 1556, 281, 4391, 281, 6349, 6751, 316, 3778, 540, 932, 5319, 281, 7033, 5202, 454, 6942, 273, 281, 700, 1328, 6265, 267, 3812, 519, 1101, 1651, 663, 27853, 22311, 538, 6576, 563, 6942, 274, 281, 4446, 5523, 5911, 568, 5189, 269, 29133, 3587, 726, 550, 3814, 607, 519, 12418, 2551, 29156, 1063, 476, 6942, 276, 543, 476, 6245, 271, 563, 6942, 274, 281, 16653, 5576, 928, 3187, 4767, 543, 4330, 519, 2623, 540, 6046, 2083, 14613, 630, 577, 668, 22199, 264, 1282, 1591, 6498, 267, 3246, 519, 1101, 4977, 6609, 540, 519, 1184, 540, 5378, 2670, 538, 3662, 2281, 563, 6942, 274, 281, 5507, 20893, 19754, 476, 272, 267, 5611, 1004, 282, 2147, 13685, 7368, 538, 519, 1739, 476, 736, 1296, 563, 6942, 275, 281, 4436, 10927, 2875, 744, 628, 3405, 14858, 3187, 25395, 519, 3114, 4542, 585, 30250, 307, 563, 6942, 276, 281, 30546, 670, 1068, 23143, 4951, 602, 519, 2212, 540, 519, 521, 704, 3901, 9926, 3019, 3587, 513, 5731, 16197, 639, 543, 10905, 609, 519, 4775, 5731, 16197, 639, 607, 519, 1990, 17789, 1774, 13540, 267, 3976, 9591, 519, 1523, 602, 22289, 568, 519, 17788, 566, 540, 1079, 2281, 563, 6942, 277, 281, 634, 17791, 7483, 568, 31601, 676, 12138, 24023, 13852, 563, 6942, 277, 281, 21208, 7637, 639, 4864, 32572, 2966, 519, 1101, 2185, 8482, 25059, 2599, 269, 898, 568, 12183, 24887, 519, 834, 22068, 550, 32572, 8487, 6942, 277, 281, 634, 1977, 11906, 5980, 630, 3722, 306, 264, 568, 4646, 563, 6942, 278, 281, 30247, 17054, 518, 747, 918, 6686, 327, 928, 6069, 519, 2165, 11747, 630, 26074, 834, 514, 13803, 8442, 543, 13747, 11476, 689, 519, 14471, 602, 3132, 873, 563, 6942, 278, 281, 7338, 32525, 31601, 519, 13093, 1748, 563, 6942, 279, 281, 21280, 11672, 4024, 731, 18582, 2125, 2919, 519, 3069, 540, 11906, 26457, 19392, 10962, 4909, 4834, 543, 1894, 547, 5173, 6687, 327, 848, 11466, 267, 519, 5123, 4341, 267, 543, 519, 1863, 1648, 1523, 269, 3571, 960, 7283, 7164, 2394, 476, 6642, 274, 267, 950, 30247, 744, 560, 342, 12245, 4362, 1010, 960, 543, 12261, 621, 547, 4436, 563, 6942, 280, 281, 3689, 3167, 5721, 568, 4843, 693, 519, 3486, 1163, 3789, 538, 12670, 563, 6942, 280, 281, 7338, 32525, 543, 11184, 9478, 4210, 534, 10446, 28433, 519, 1101, 4052, 3167, 8279, 563, 6942, 280, 281, 15762, 10420, 514, 568, 4362, 676, 30097, 674, 22844, 6199, 267, 513, 2447, 626, 693, 8592, 22846, 2160, 269, 634, 17811, 1863, 6653, 10273, 568, 476, 4968, 2053, 6793, 982, 7319, 13427, 543, 814, 1044, 4421, 20749, 2094, 827, 476, 5002, 271, 563, 6642, 271, 281, 12448, 31257, 10953, 1010, 1101, 267, 1804, 267, 5374, 19460, 563, 6642, 271, 281, 6723, 16026, 23083, 513, 834, 306, 1539, 1214, 540, 11906, 19296, 257, 538, 4789, 563, 6642, 272, 281, 25381, 834, 1492, 17718, 257, 568, 8929, 676, 4793, 12275, 21884, 563, 6642, 272, 281, 8402, 30854, 584, 5795, 513, 1857, 17431, 540, 519, 7145, 540, 1010, 16320, 571, 343, 6669, 563, 6642, 273, 281, 7338, 32525, 13976, 519, 1101, 32394, 1379, 2030, 538, 11197, 2023, 267, 16855, 563, 6642, 273, 281, 7917, 918, 5255, 25395, 519, 11425, 6438, 16321, 2193, 536, 26808, 3743, 585, 21061, 630, 307, 289, 1916, 6642, 274, 281, 14642, 13871, 32083, 3370, 1010, 1957, 593, 519, 32083, 262, 7089, 267, 513, 10155, 1652, 7274, 799, 454, 12803, 2517, 270, 291, 347, 270, 335, 2378, 14150, 2593, 270, 4178, 270, 20931, 10774, 22710, 11258, 630, 278, 540, 476, 736, 264, 1496, 280, 270, 1839, 270, 1220, 271, 476, 1556, 281, 4391, 281, 6349, 6751, 316, 3778, 540, 932, 5319, 281, 7033, 5202, 1915, 3278, 22495, 541, 543, 24360, 2095, 676, 11341, 15452, 630, 528, 16931, 658, 264, 4229, 547, 1471, 32654, 4229, 1369, 513, 5714, 563, 6642, 275, 281, 634, 2622, 781, 1101, 4787, 903, 28755, 704, 5956, 547, 581, 25517, 538, 9628, 563, 6642, 275, 281, 30171, 11292, 585, 3114, 18396, 698, 1637, 19288, 1184, 563, 6642, 275, 281, 634, 3752, 341, 599, 1184, 568, 11843, 547, 519, 2136, 2276, 543, 519, 3752, 341, 599, 6713, 3213, 269, 5956, 1818, 14614, 11849, 538, 5204, 2350, 2224, 563, 6642, 275, 281, 590, 2779, 324, 27336, 1156, 3780, 543, 17054, 518, 747, 744, 560, 342, 12245, 10446, 3989, 7408, 607, 6878, 799, 5305, 7250, 12274, 950, 15702, 538, 1216, 563, 6642, 275, 281, 4168, 11835, 778, 574, 12896, 11827, 1010, 28969, 1505, 585, 8760, 540, 4551, 563, 6642, 275, 281, 966, 4593, 846, 14105, 517, 568, 11827, 676, 519, 3943, 2447, 626, 670, 10042, 790, 932, 30972, 6339, 563, 6642, 276, 281, 634, 17405, 18914, 568, 2919, 676, 20913, 5484, 345, 269, 6969, 713, 267, 17405, 729, 606, 13311, 6824, 540, 19386, 799, 3361, 1082, 2777, 11642, 1317, 540, 922, 12402, 547, 1011, 1712, 950, 5116, 538, 918, 14058, 2940, 22311, 563, 6642, 277, 281, 634, 1101, 2413, 13813, 26653, 518, 267, 519, 3794, 3089, 31348, 267, 729, 3710, 585, 5125, 676, 4789, 563, 6642, 278, 281, 4864, 1284, 1143, 2335, 11840, 730, 513, 3069, 540, 15694, 2623, 1282, 1591, 6498, 543, 22289, 17782, 519, 12136, 540, 32450, 563, 6642, 278, 281, 2506, 559, 674, 29531, 11840, 730, 519, 7293, 3270, 540, 5946, 563, 6642, 279, 281, 6723, 16026, 2488, 519, 29685, 585, 513, 1007, 3924, 607, 646, 6799, 513, 3126, 540, 476, 1321, 15872, 593, 11906, 7177, 693, 519, 25480, 267, 4789, 563, 6642, 279, 281, 10793, 834, 1492, 681, 23124, 257, 19754, 3670, 2021, 538, 5507, 563, 6642, 279, 281, 634, 12590, 4659, 540, 5303, 5956, 834, 17345, 2473, 257, 630, 1084, 1070, 519, 1101, 2185, 1032, 11906, 7177, 1982, 538, 519, 2136, 2276, 563, 6642, 279, 281, 26081, 5341, 670, 1068, 345, 5340, 519, 1101, 6901, 609, 513, 13805, 547, 834, 515, 541, 257, 1200, 345, 1014, 5925, 6329, 563, 6642, 280, 281, 14731, 8895, 2023, 19775, 519, 1876, 540, 18577, 18472, 267, 513, 8579, 6609, 540, 519, 3448, 9295, 547, 19021, 640, 1500, 676, 11937, 563, 6245, 271, 281, 23323, 528, 645, 1478, 328, 543, 14639, 8402, 2871, 793, 731, 3964, 519, 10230, 7862, 540, 533, 11189, 543, 14774, 15954, 693, 22289, 563, 6245, 271, 281, 2506, 559, 29747, 13153, 2142, 327, 2590, 4362, 12489, 563, 6245, 272, 281, 26081, 5341, 30247, 654, 15505, 9528, 6069, 519, 22813, 3069, 540, 519, 8401, 1062, 563, 6245, 272, 281, 21322, 26290, 2940, 14878, 12251, 4362, 10084, 812, 543, 3957, 621, 16381, 515, 4754, 6605, 639, 661, 5550, 639, 267, 1631, 1634, 607, 30941, 16245, 639, 563, 6245, 273, 281, 667, 19342, 10953, 1010, 4835, 13674, 2599, 563, 12803, 2517, 270, 291, 347, 270, 335, 2378, 14150, 2593, 270, 4178, 270, 20931, 10774, 22710, 11258, 630, 279, 540, 476, 736, 264, 1496, 280, 270, 1839, 270, 1220, 271, 476, 1556, 281, 4391, 281, 6734, 6751, 316, 3778, 540, 932, 5319, 281, 7033, 5202, 476, 6245, 273, 281, 12425, 5956, 922, 11906, 7177, 6437, 563, 6245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27770, 626, 2011, 524, 815, 476, 273, 297, 21515, 298, 454, 307, 10774, 5848, 2011, 815, 476, 1015, 270, 273, 815, 476, 276, 297, 21515, 298, 2073, 519, 6027, 1871, 454, 305, 2358, 3905, 2011, 630, 935, 557, 794, 994, 3519, 557, 794, 568, 2014, 676, 519, 2539, 5860, 540, 5848, 2011, 454, 3519, 557, 794, 568, 711, 3361, 676, 7269, 540, 2011, 563, 1103, 519, 9000, 540, 1216, 32350, 19514, 2627, 8022, 786, 2014, 5860, 1114, 10118, 538, 519, 8880, 7077, 799, 3123, 3819, 28681, 563, 12850, 32350, 1175, 2337, 519, 1184, 2059, 1317, 1216, 32350, 568, 14402, 982, 2011, 563, 296, 899, 519, 1259, 596, 8360, 621, 281, 968, 1740, 568, 2944, 1996, 8904, 711, 2604, 9731, 303, 532, 3724, 281, 1772, 621, 942, 547, 4735, 531, 519, 2034, 1876, 540, 32721, 286, 1923, 13677, 590, 1061, 545, 454, 763, 2034, 1876, 540, 32721, 2829, 602, 3002, 631, 19851, 2095, 689, 3905, 547, 4411, 269, 2334, 568, 711, 606, 7664, 267, 602, 568, 1018, 519, 4890, 1876, 3081, 269, 4014, 972, 616, 1896, 30422, 540, 519, 1876, 267, 782, 616, 6038, 6697, 563, 4263, 11466, 267, 513, 3154, 1590, 723, 513, 7833, 2837, 269, 6333, 606, 16494, 8880, 2627, 998, 606, 568, 18540, 3154, 269, 634, 6675, 3001, 20733, 2066, 519, 2627, 616, 9561, 15452, 1648, 269, 1924, 950, 971, 513, 11140, 25457, 513, 16580, 693, 519, 968, 754, 892, 540, 922, 8184, 630, 629, 913, 519, 2627, 264, 621, 814, 1447, 15452, 1648, 982, 621, 1705, 693, 519, 968, 8218, 940, 892, 540, 922, 8184, 630, 1080, 2063, 16580, 1354, 15385, 519, 2627, 1040, 1717, 267, 6675, 609, 513, 1360, 1507, 3355, 16057, 6991, 786, 4166, 3247, 3001, 16057, 543, 2887, 18746, 282, 971, 6675, 786, 2760, 1118, 621, 2066, 519, 2627, 630, 7474, 568, 267, 741, 1985, 16580, 786, 581, 2630, 519, 2627, 1040, 1306, 513, 1267, 267, 519, 16057, 3001, 6675, 602, 1439, 909, 2458, 4575, 1657, 519, 2627, 1590, 7620, 723, 1185, 2362, 982, 3328, 15452, 1648, 269, 2334, 3063, 3355, 1648, 9104, 919, 585, 519, 1648, 4957, 883, 1761, 1648, 269, 589, 2147, 4661, 10039, 547, 519, 18746, 3001, 6675, 269, 901, 1281, 711, 6961, 602, 519, 1648, 2095, 568, 4642, 950, 519, 1062, 568, 568, 18540, 267, 855, 621, 1281, 6961, 602, 707, 4661, 568, 16283, 563, 2467, 616, 693, 2547, 1079, 2081, 547, 1205, 513, 2953, 1267, 269, 2290, 568, 547, 798, 513, 2143, 9819, 602, 3217, 883, 2272, 782, 4143, 3344, 540, 519, 6675, 5163, 269, 634, 824, 568, 547, 1118, 946, 540, 513, 811, 2489, 6240, 267, 971, 607, 519, 2034, 1876, 269, 2334, 3947, 606, 538, 4186, 549, 3200, 1043, 1267, 281, 513, 1062, 693, 11466, 1590, 581, 568, 18540, 563, 2252, 602, 729, 1018, 519, 968, 18721, 892, 3081, 267, 1287, 621, 568, 5693, 4636, 607, 594, 723, 2143, 269, 1717, 267, 519, 4890, 1876, 9388, 609, 23811, 543, 711, 3002, 563, 9827, 267, 538, 513, 1483, 5790, 267, 519, 7636, 19437, 6971, 865, 602, 519, 6675, 616, 538, 3346, 267, 865, 602, 593, 3328, 6675, 5734, 824, 6675, 1312, 1657, 543, 2630, 269, 1656, 621, 3085, 1406, 2339, 875, 2484, 789, 1847, 267, 789, 6336, 1761, 1648, 693, 519, 2557, 540, 544, 724, 269, 4475, 519, 3002, 1648, 11081, 676, 544, 724, 5442, 589, 5254, 21764, 11083, 300, 5308, 15771, 16730, 563, 3383, 267, 538, 513, 7123, 5790, 267, 621, 568, 711, 568, 334, 268, 31516, 855, 3079, 972, 568, 513, 3666, 1063, 1761, 543, 8143, 1648, 865, 602, 519, 2040, 540, 891, 568, 519, 1482, 2066, 519, 5790, 950, 621, 568, 7123, 563, 763, 2034, 1876, 666, 581, 7150, 538, 2789, 6697, 2081, 281, 538, 2474, 540, 3002, 8928, 267, 23811, 267, 3002, 9817, 267, 10419, 783, 5163, 269, 4107, 32721, 1630, 657, 4308, 609, 519, 30424, 540, 891, 563, 2690, 3236, 267, 621, 666, 581, 8810, 602, 952, 596, 723, 513, 570, 3017, 693, 11466, 267, 1287, 596, 666, 1628, 513, 10419, 783, 5163, 3684, 269, 594, 723, 3254, 875, 13677, 590, 1061, 545, 779, 6811, 5012, 547, 10419, 783, 5163, 693, 281, 5291, 2517, 2675, 2714, 880, 338, 1061, 545, 16691, 16896, 270, 1001, 276, 270, 6187, 270, 2764, 270, 13582, 5264, 2914, 9879, 23150, 2275, 1162, 28273, 3917, 537, 268, 698, 872, 270, 258, 1260, 618, 268, 31079, 10602, 454, 300, 833, 631, 269, 3081, 281, 476, 274, 6113, 5147, 476, 1001, 276, 693, 476, 278, 281, 4366, 10681, 454, 763, 2034, 1876, 540, 32721, 2829, 602, 3002, 631, 19851, 2095, 689, 3905, 547, 4411, 269, 2334, 568, 711, 606, 7664, 267, 602, 568, 1018, 519, 4890, 1876, 3081, 269, 4014, 972, 616, 1896, 30422, 540, 519, 1876, 267, 782, 616, 6038, 6697, 3034, 3086, 1877, 1281, 519, 2034, 1876, 540, 32721, 2829, 602, 3002, 631, 19851, 2095, 689, 3905, 547, 4411, 269, 634, 2034, 568, 1759, 593, 1279, 2165, 8343, 540, 15514, 2033, 640, 256, 2334, 779, 782, 256, 1403, 1849, 9476, 3780, 1185, 2808, 14965, 1761, 543, 13590, 10237, 894, 1761, 519, 3364, 1131, 1224, 968, 8967, 2632, 10389, 1648, 4483, 3112, 2049, 538, 513, 4287, 540, 2362, 2698, 1761, 1848, 563, 296, 936, 13678, 680, 1881, 1250, 3948, 540, 519, 2034, 1876, 538, 513, 1259, 602, 1281, 711, 2339, 585, 713, 4901, 269, 589, 1697, 3948, 540, 519, 1849, 9476, 3780, 19862, 568, 281, 968, 28959, 666, 2760, 1780, 689, 513, 21617, 547, 513, 15911, 1560, 1510, 930, 824, 1689, 267, 4448, 972, 5976, 267, 9648, 693, 519, 1482, 942, 1848, 634, 9868, 568, 585, 519, 2013, 1141, 930, 824, 1106, 540, 1648, 568, 10057, 267, 971, 607, 1210, 5201, 547, 2196, 606, 2011, 30690, 610, 3002, 6802, 269, 898, 729, 1793, 641, 6853, 540, 803, 547, 711, 1331, 519, 9868, 267, 855, 621, 1281, 711, 2339, 585, 713, 4901, 2094, 519, 3409, 1500, 676, 13677, 590, 1061, 545, 568, 602, 1100, 18820, 540, 960, 568, 2877, 547, 2226, 519, 13506, 563, 763, 6071, 6228, 540, 513, 1761, 1281, 711, 1860, 519, 2095, 540, 3002, 563, 300, 833, 631, 269, 3081, 281, 476, 275, 628, 5147, 476, 1001, 276, 693, 476, 1015, 281, 1704, 10681, 454, 2108, 8117, 621, 1281, 711, 2339, 585, 713, 4901, 2094, 519, 3409, 1500, 676, 13677, 590, 1061, 545, 568, 602, 1100, 18820, 540, 960, 568, 2877, 547, 2226, 519, 13506, 269, 634, 6071, 6228, 540, 513, 1761, 1281, 711, 1860, 519, 2095, 540, 3002, 3034, 28074, 602, 19375, 3081, 568, 513, 5299, 13906, 689, 5450, 269, 1717, 596, 786, 723, 547, 6542, 602, 519, 2604, 267, 5860, 267, 2837, 968, 7528, 790, 892, 930, 960, 547, 2226, 256, 1452, 5552, 328, 1218, 616, 855, 519, 4082, 540, 14965, 1761, 538, 513, 14771, 762, 5714, 1358, 991, 1100, 811, 960, 982, 519, 3196, 540, 14965, 16007, 1063, 13999, 991, 960, 269, 5794, 1373, 11506, 538, 713, 5790, 12374, 1100, 1761, 1648, 968, 20357, 892, 540, 891, 27080, 2336, 763, 6071, 6228, 540, 513, 1761, 1281, 8197, 1860, 267, 855, 711, 3747, 267, 519, 21245, 2095, 540, 1648, 269, 26681, 519, 15514, 534, 1190, 2527, 2095, 6862, 3002, 26634, 16057, 547, 513, 2539, 2604, 14121, 17687, 568, 4847, 256, 968, 299, 14823, 892, 513, 4224, 547, 513, 1747, 593, 1283, 540, 513, 2022, 3340, 960, 267, 855, 519, 4224, 814, 1100, 1761, 1648, 1247, 16889, 2390, 519, 2022, 269, 6052, 568, 711, 24721, 267, 4849, 585, 519, 1433, 15209, 2944, 676, 16494, 23811, 2336, 2108, 21328, 568, 711, 24721, 9731, 1103, 824, 1913, 267, 596, 616, 2901, 17399, 656, 540, 2257, 610, 3442, 547, 7947, 2257, 269, 1924, 1100, 4960, 540, 7744, 609, 596, 563, 2690, 1866, 945, 1522, 1224, 713, 267, 1934, 568, 1946, 3967, 657, 577, 6390, 568, 4636, 269, 1703, 616, 4010, 1079, 4909, 2081, 547, 4483, 1648, 281, 3002, 543, 960, 269, 14333, 568, 519, 4483, 540, 1648, 1813, 547, 513, 3017, 538, 2837, 267, 960, 568, 3388, 3116, 269, 2353, 3029, 540, 960, 616, 267, 538, 6240, 267, 20049, 762, 269, 1809, 960, 543, 3002, 616, 711, 20049, 762, 269, 1703, 568, 513, 835, 17574, 2460, 281, 960, 666, 581, 4628, 10736, 547, 3002, 267, 855, 3002, 666, 711, 581, 4628, 10736, 547, 960, 563, 10303, 540, 540, 519, 20049, 1464, 540, 1585, 3029, 540, 960, 267, 1761, 27080, 2404, 609, 1114, 3029, 540, 960, 666, 2170, 1623, 5471, 29182, 269, 1924, 267, 585, 1383, 267, 513, 13506, 538, 14965, 1761, 666, 2226, 513, 13506, 538, 2604, 693, 11466, 543, 13030, 17930, 282, 1100, 6024, 18820, 540, 960, 568, 2838, 269, 1809, 519, 12623, 11496, 1063, 960, 543, 3002, 1797, 519, 1482, 568, 711, 3020, 585, 2837, 630, 1492, 1761, 585, 3002, 1040, 1411, 666, 711, 2226, 513, 2837, 13506, 1510, 513, 6024, 18820, 540, 960, 269, 1306, 513, 1267, 267, 513, 1062, 693, 5687, 17871, 11466, 1590, 581, 568, 18540, 563, 9616, 281, 1411, 1522, 2307, 968, 1432, 827, 513, 632, 8705, 1166, 2532, 630, 750, 21573, 11480, 264, 9495, 2334, 786, 1118, 621, 1491, 513, 1279, 942, 547, 3914, 11466, 267, 855, 621, 4465, 1406, 3247, 621, 269, 1411, 6995, 786, 5555, 1205, 4411, 563, 5591, 2121, 18820, 540, 960, 568, 2838, 547, 2226, 519, 13506, 855, 972, 568, 1869, 960, 2944, 538, 602, 960, 2944, 1996, 8904, 538, 519, 607, 1417, 568, 20083, 676, 960, 2944, 609, 8904, 538, 519, 16350, 693, 11466, 563, 3519, 557, 21063, 16765, 9506, 25437, 476, 3451, 298, 538, 693, 3047, 779, 2627, 543, 7683, 973, 5138, 621, 909, 543, 1524, 3976, 7303, 621, 689, 10237, 908, 547, 2230, 563, 763, 2048, 19956, 685, 568, 19514, 5860, 1114, 10118, 693, 519, 2627, 538, 519, 8880, 7077, 563, 2005, 568, 711, 513, 10419, 783, 5163, 3684, 1317, 519, 1184, 568, 3274, 1210, 606, 2479, 4657, 6712, 540, 3859, 1648, 17303, 607, 621, 10596, 998, 519, 1062, 269, 17547, 11173, 1202, 15684, 543, 519, 4783, 786, 3247, 543, 519, 2527, 540, 519, 5790, 786, 2887, 547, 519, 2666, 563, 763, 2556, 1379, 568, 6508, 689, 519, 8488, 547, 519, 998, 1584, 540, 3859, 1648, 3361, 676, 26634, 543, 28681, 1373, 14887, 3157, 982, 5982, 865, 602, 519, 2556, 476, 3451, 298, 540, 2048, 31162, 15200, 685, 1648, 568, 4847, 547, 18645, 693, 519, 2627, 547, 5397, 12768, 21063, 16765, 9506, 543, 7551, 2226, 8652, 18878, 3666, 563, 6546, 476, 3451, 298, 540, 2048, 17742, 685, 8928, 538, 543, 856, 540, 1761, 1648, 607, 2556, 547, 4188, 585, 10237, 894, 20817, 563, 300, 833, 631, 269, 3081, 281, 476, 276, 628, 5147, 476, 1001, 276, 693, 476, 273, 281, 6187, 10681, 454, 12663, 3967, 657, 577, 6390, 267, 968, 21328, 568, 711, 24721, 9731, 24685, 824, 1913, 267, 596, 616, 2901, 17399, 656, 540, 2257, 610, 3442, 547, 7947, 2257, 563, 3383, 1100, 4960, 540, 7744, 609, 596, 3034, 296, 7947, 707, 1875, 1606, 7220, 269, 1403, 594, 726, 965, 513, 2361, 609, 513, 7504, 585, 835, 5662, 594, 946, 909, 835, 7504, 12741, 5662, 540, 6740, 7504, 12741, 855, 594, 2760, 1205, 835, 7504, 12741, 5662, 540, 726, 15735, 2361, 267, 4849, 676, 707, 16995, 23811, 1433, 15209, 256, 6052, 10736, 547, 960, 568, 2760, 24721, 8259, 602, 7503, 568, 568, 550, 22241, 256, 3223, 16980, 1014, 20771, 11707, 563, 1432, 568, 519, 740, 328, 629, 1738, 561, 8985, 2557, 540, 2011, 888, 763, 740, 328, 629, 1738, 561, 8985, 2557, 540, 2011, 568, 968, 320, 535, 1112, 25875, 4020, 15469, 676, 14368, 5505, 547, 18174, 12563, 892, 8627, 634, 740, 328, 629, 1738, 561, 8985, 2557, 540, 2011, 568, 849, 519, 2837, 5057, 540, 513, 1875, 7873, 14819, 11626, 24293, 2604, 267, 5860, 267, 2837, 9043, 5462, 4625, 676, 519, 14965, 3196, 593, 519, 2527, 540, 519, 14771, 1043, 5714, 1572, 5790, 267, 8726, 519, 5860, 540, 1022, 11626, 5057, 563, 763, 740, 328, 629, 1738, 561, 8985, 2557, 540, 2011, 814, 1100, 5687, 17871, 2495, 31049, 2336, 763, 2604, 561, 8985, 2557, 540, 2011, 814, 1100, 5687, 17871, 2495, 31049, 2336, 13828, 519, 2035, 616, 855, 519, 4082, 540, 14965, 18027, 1369, 922, 4478, 5714, 563, 13828, 519, 2035, 941, 11827, 676, 14368, 5505, 609, 519, 8247, 547, 25657, 563, 763, 835, 3364, 594, 4076, 19927, 267, 519, 3476, 594, 4076, 1044, 3168, 693, 2916, 568, 875, 813, 16226, 1256, 930, 540, 519, 1034, 2596, 2035, 616, 269, 24269, 1775, 1413, 7184, 883, 519, 1641, 594, 3100, 547, 1265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16565, 543, 5883, 10070, 10704, 1472, 834, 3412, 698, 2435, 14886, 2437, 3246, 596, 609, 513, 2178, 5748, 538, 4207, 5399, 4015, 2359, 2853, 780, 2414, 2253, 267, 1577, 721, 2263, 519, 1523, 540, 16494, 2828, 2933, 269, 1452, 15865, 15274, 1419, 10836, 1282, 2038, 6689, 1646, 630, 20200, 1227, 1063, 1079, 543, 2947, 1296, 2025, 264, 543, 666, 1683, 4313, 267, 31070, 267, 543, 12954, 5876, 1851, 1762, 3988, 269, 1280, 1453, 945, 949, 6560, 13998, 610, 14156, 267, 891, 3347, 2709, 24176, 543, 12003, 6127, 607, 789, 6330, 1950, 1514, 6384, 269, 9182, 267, 3332, 10023, 16494, 2828, 6585, 10373, 1871, 585, 1312, 9913, 543, 3929, 8171, 780, 2026, 27503, 7172, 12579, 267, 621, 568, 1898, 547, 5431, 519, 4644, 540, 6220, 3309, 5380, 950, 2679, 707, 11174, 5708, 4015, 269, 1635, 8204, 1585, 4529, 267, 10080, 267, 543, 2833, 267, 596, 6536, 13784, 543, 8597, 547, 513, 6626, 5304, 3490, 269, 5015, 267, 1382, 5267, 602, 4598, 547, 18371, 6386, 10240, 9094, 6568, 267, 2565, 3206, 1983, 267, 543, 3444, 14426, 1620, 1851, 6107, 1107, 2640, 602, 8831, 2484, 3564, 519, 32604, 540, 519, 5399, 6821, 780, 1103, 1840, 547, 5009, 4763, 267, 2500, 4015, 2359, 19329, 9363, 32448, 540, 6932, 3466, 543, 4066, 5935, 519, 13629, 2872, 269, 21298, 267, 1582, 1790, 889, 7667, 5867, 723, 24339, 520, 1242, 1569, 547, 4589, 1222, 267, 3056, 547, 606, 27614, 540, 10446, 3370, 1568, 2066, 11964, 267, 1519, 1346, 5059, 593, 16494, 2828, 269, 19484, 713, 24567, 5251, 3340, 13916, 267, 22371, 547, 1875, 10177, 6463, 2959, 267, 543, 11826, 6268, 2409, 780, 11854, 1136, 540, 4879, 267, 9591, 7355, 585, 8939, 1164, 7779, 10643, 9624, 513, 4262, 540, 3681, 13514, 1776, 4161, 269, 1879, 10442, 1761, 23937, 547, 707, 4015, 267, 2015, 2188, 971, 607, 5339, 20519, 267, 2504, 2298, 267, 12972, 609, 21195, 610, 2146, 4690, 267, 6041, 267, 543, 6075, 8039, 269, 3958, 267, 4509, 909, 3562, 15082, 1702, 540, 3318, 2200, 899, 5753, 781, 3883, 7027, 17758, 267, 3427, 7732, 4750, 5182, 1042, 8039, 267, 543, 824, 18019, 934, 565, 3547, 5849, 602, 707, 25926, 13469, 609, 1167, 518, 940, 9458, 780, 19741, 6071, 5542, 267, 4052, 4145, 4478, 6578, 14305, 267, 29449, 1894, 267, 543, 3892, 3631, 15549, 6297, 7156, 269, 15043, 7580, 12352, 609, 6325, 14273, 6087, 12905, 6765, 1247, 10893, 3790, 267, 3850, 596, 547, 11694, 707, 4015, 781, 1764, 1510, 18731, 16642, 5539, 269, 5047, 267, 23440, 609, 4244, 12043, 630, 324, 3052, 1421, 552, 9248, 267, 24384, 984, 23697, 264, 16877, 596, 547, 2743, 9687, 19121, 7375, 543, 3251, 6619, 540, 15712, 538, 15459, 6990, 780, 15563, 267, 16213, 606, 3750, 2509, 519, 2104, 267, 649, 1590, 11760, 519, 7096, 3310, 25116, 676, 5969, 12967, 4610, 899, 24684, 267, 29113, 267, 543, 5841, 4987, 593, 938, 3924, 269, 2755, 1869, 7361, 23019, 267, 891, 7760, 22426, 519, 1761, 547, 22499, 1169, 25246, 540, 5399, 2533, 1107, 689, 17048, 5224, 1949, 547, 5691, 4641, 1650, 9392, 269, 16871, 7279, 543, 2502, 538, 5571, 1565, 786, 581, 4105, 3334, 540, 14762, 538, 713, 3078, 2943, 7334, 14099, 780, 1103, 3932, 267, 3811, 19642, 540, 11174, 5708, 10070, 7569, 22509, 697, 267, 17545, 267, 543, 7029, 547, 17284, 269, 3414, 30190, 15984, 547, 1655, 2853, 267, 6024, 3318, 1646, 267, 543, 26772, 11428, 547, 7674, 707, 2950, 267, 596, 1932, 666, 3565, 25006, 547, 519, 7524, 1158, 540, 4203, 29792, 7172, 12579, 1222, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10907, 638, 29792, 3619, 6820, 2433, 606, 4367, 547, 5399, 4015, 2359, 538, 519, 476, 2641, 560, 2540, 676, 13343, 6520, 324, 1607, 1433, 568, 513, 3391, 602, 5012, 519, 5467, 998, 1082, 3344, 540, 513, 5399, 781, 4015, 1519, 519, 3593, 267, 1699, 3180, 902, 267, 5542, 267, 543, 11601, 540, 1007, 2326, 269, 634, 5467, 568, 849, 3366, 547, 2015, 23348, 267, 543, 875, 2835, 616, 1500, 2139, 538, 476, 2641, 560, 2540, 6990, 269, 10613, 585, 12570, 5399, 21527, 616, 4330, 269, 19750, 3877, 616, 4749, 3769, 282, 2035, 543, 3069, 616, 782, 24231, 547, 855, 616, 711, 513, 2101, 8561, 540, 519, 1257, 269, 589, 2518, 9165, 5932, 606, 8537, 7099, 585, 3988, 538, 2919, 610, 3384, 6082, 269, 634, 3803, 3184, 1179, 12885, 2390, 4203, 29792, 7172, 12579, 1222, 538, 519, 476, 2641, 560, 2540, 267, 593, 7506, 540, 24684, 267, 29113, 267, 543, 2799, 2780, 1436, 269, 901, 568, 513, 4909, 1433, 585, 519, 2875, 610, 8026, 7172, 4115, 267, 513, 1433, 602, 8843, 1454, 827, 4203, 29792, 855, 8098, 1080, 606, 10462, 827, 519, 4720, 540, 519, 3924, 269, 634, 2278, 6770, 513, 575, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3412, 698, 2435, 14886, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22569, 1588, 1299, 7591, 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, 8702, 547, 3047, 267, 7585, 256, 594, 993, 6126, 547, 581, 707, 3391, 1282, 707, 3251, 1934, 269, 4653, 267, 594, 1131, 899, 547, 2995, 596, 827, 9124, 543, 5312, 10108, 602, 930, 3425, 1995, 269, 1452, 2175, 666, 1118, 3232, 2238, 811, 4101, 585, 1004, 945, 723, 873, 780, 20058, 267, 1577, 803, 6338, 596, 547, 519, 1523, 540, 519, 1560, 910, 621, 568, 519, 6077, 602, 8075, 938, 4835, 8219, 543, 2636, 721, 547, 1847, 1472, 538, 713, 1158, 269, 2368, 3425, 949, 1265, 602, 1978, 2694, 540, 741, 4703, 798, 711, 1599, 607, 1134, 607, 789, 1131, 899, 1813, 547, 9124, 610, 5312, 10108, 269, 1280, 1383, 267, 2576, 1522, 723, 7411, 6972, 1317, 540, 4617, 7953, 630, 320, 9659, 1070, 610, 789, 1522, 991, 547, 1491, 6646, 1169, 1554, 547, 4383, 3987, 630, 320, 5312, 4576, 6393, 11514, 1464, 543, 5312, 4576, 1860, 1142, 1268, 8335, 269, 2913, 803, 2285, 596, 513, 1906, 1806, 540, 875, 891, 2175, 1764, 4948, 1272, 269, 5994, 952, 596, 7948, 1405, 1294, 5265, 267, 899, 9849, 4158, 14296, 782, 519, 942, 1256, 16280, 269, 901, 2783, 568, 1572, 3308, 15717, 269, 1411, 1131, 7048, 8185, 593, 824, 12823, 971, 607, 5905, 543, 6217, 547, 6330, 519, 1158, 269, 2107, 2015, 1373, 8572, 547, 5873, 693, 782, 1107, 2792, 3587, 1454, 9875, 1510, 1569, 547, 3280, 269, 769, 2665, 899, 891, 267, 2029, 899, 5496, 3988, 610, 6217, 11226, 948, 8115, 1346, 10616, 780, 3086, 1589, 827, 1945, 607, 2241, 607, 8066, 513, 1433, 269, 589, 1268, 609, 12263, 267, 513, 1826, 540, 5312, 4576, 7133, 10549, 267, 1522, 6560, 547, 17945, 519, 3817, 16119, 2614, 547, 2490, 873, 269, 1358, 1522, 946, 4217, 633, 3457, 899, 1804, 17680, 1186, 610, 5639, 6284, 3301, 547, 1224, 3079, 269, 6684, 267, 2576, 609, 513, 11983, 10260, 5945, 949, 2154, 513, 30523, 585, 10688, 269, 2353, 891, 2645, 5512, 2043, 609, 9124, 543, 5312, 10108, 547, 7119, 4628, 538, 2486, 5103, 741, 7687, 780, 13010, 267, 2790, 1072, 849, 4249, 513, 1713, 1909, 950, 7234, 9124, 543, 5312, 10108, 269, 17148, 971, 607, 4965, 267, 4160, 267, 610, 2022, 32034, 2566, 4524, 666, 3648, 1764, 835, 781, 2702, 547, 1685, 6296, 4247, 269, 898, 781, 1898, 547, 1174, 602, 1247, 15865, 267, 891, 2175, 3747, 3160, 3007, 543, 22098, 780, 1103, 3932, 267, 15210, 3659, 7585, 267, 3314, 602, 4763, 11498, 3564, 5920, 543, 2528, 269, 5272, 1367, 6770, 2189, 9342, 543, 2591, 547, 519, 3349, 267, 1519, 1346, 2713, 609, 9124, 543, 5312, 10108, 269, 4197, 713, 4909, 2460, 540, 8103, 11942, 6568, 543, 13784, 1851, 721, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15463, 345, 28727, 786, 330, 2174, 523, 14193, 325, 796, 572, 17243, 5851, 2457, 454, 297, 6756, 2871, 2946, 4647, 1946, 282, 16143, 543, 6192, 676, 6424, 11831, 269, 13198, 580, 328, 12844, 3530, 7236, 543, 9478, 3131, 878, 821, 269, 1715, 3840, 281, 16110, 5069, 2160, 4964, 267, 476, 1001, 275, 269, 8861, 6181, 326, 2714, 543, 17664, 28418, 269, 1715, 3840, 267, 12924, 281, 6022, 6588, 557, 5839, 17524, 534, 267, 476, 1001, 275, 269, 3903, 282, 23356, 11253, 16910, 5964, 268, 744, 614, 334, 269, 8381, 8822, 267, 22206, 13083, 267, 5177, 282, 29157, 3122, 267, 12924, 281, 570, 1868, 529, 267, 476, 1001, 275, 269, 11062, 282, 1715, 3840, 281, 11062, 2160, 4964, 267, 476, 1001, 274, 269, 2160, 540, 12425, 4964, 267, 4647, 1946, 649, 28111, 536, 10667, 2689, 2835, 476, 1220, 280, 269, 12052, 24436, 4485, 513, 7591, 24742, 8605, 687, 269, 31854, 5112, 9956, 16635, 543, 9253, 8663, 30007, 6828, 538, 7693, 609, 4858, 17383, 256, 9896, 676, 30007, 2290, 267, 1950, 267, 16316, 269, 29965, 3118, 8605, 687, 267, 476, 14138, 8606, 916, 543, 774, 597, 10117, 8605, 687, 20941, 585, 4647, 1946, 649, 28111, 536, 10667, 538, 28927, 609, 32282, 267, 21708, 8551, 543, 9956, 781, 31248, 269, 10228, 281, 10228, 2160, 4964, 267, 476, 1001, 274, 269, 2983, 32015, 10830, 282, 3728, 2989, 676, 26366, 996, 15917, 5886, 269, 10228, 281, 10228, 2160, 4964, 267, 476, 1001, 274, 269, 670, 2550, 616, 2919, 4362, 12045, 609, 519, 4647, 1946, 649, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 24894, 1315, 18127, 29520, 525, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 6092, 5149, 281, 5053, 769, 638, 9974, 11470, 692, 22706, 5426, 281, 5664, 3427, 692, 23208, 12745, 281, 4438, 519, 11193, 1974, 267, 799, 838, 10165, 519, 476, 1691, 628, 998, 519, 476, 1704, 628, 5553, 267, 2342, 4810, 513, 16854, 25954, 540, 1565, 1759, 593, 8106, 2959, 267, 519, 4473, 540, 4182, 32145, 267, 543, 3909, 30331, 10052, 269, 2290, 1713, 2680, 1282, 713, 5736, 729, 519, 5053, 769, 638, 9974, 267, 3964, 538, 476, 15704, 279, 896, 519, 7826, 3933, 1105, 338, 30544, 4083, 540, 589, 16400, 543, 1772, 629, 7578, 594, 540, 10011, 850, 269, 901, 9872, 6322, 547, 2226, 7826, 31249, 344, 538, 8050, 676, 7114, 1934, 9455, 1851, 7642, 543, 12356, 945, 1185, 10736, 547, 8567, 855, 941, 16143, 540, 31205, 8026, 741, 2025, 5132, 338, 269, 3683, 942, 267, 922, 3914, 6905, 547, 824, 12790, 2516, 971, 607, 14308, 1218, 543, 1412, 342, 9662, 9538, 692, 24145, 776, 10312, 281, 1306, 649, 5490, 883, 3140, 2621, 4478, 519, 5053, 769, 638, 9974, 267, 649, 3513, 2263, 875, 4589, 946, 5708, 547, 3142, 1686, 547, 1272, 267, 3850, 721, 547, 1174, 519, 2250, 1732, 543, 26003, 1125, 609, 1004, 2713, 1287, 269, 3776, 5339, 1445, 786, 581, 593, 5053, 769, 638, 9974, 11470, 267, 2984, 1305, 1282, 519, 942, 540, 519, 769, 638, 9974, 602, 8774, 1769, 593, 713, 10578, 2943, 4101, 3184, 538, 1480, 1686, 780, 8893, 20505, 1384, 265, 13760, 519, 2796, 540, 519, 5053, 769, 638, 9974, 1369, 519, 6626, 9165, 540, 3864, 1686, 563, 265, 25506, 519, 1909, 540, 3332, 538, 27283, 3140, 2621, 563, 265, 21302, 14070, 1568, 10704, 1472, 519, 5053, 769, 638, 9974, 563, 265, 13028, 8037, 4589, 543, 10643, 1369, 519, 9135, 540, 5053, 769, 638, 9974, 11470, 780, 7078, 31157, 1384, 272, 269, 2608, 763, 8745, 540, 519, 14986, 265, 676, 772, 3088, 1729, 19889, 910, 5590, 538, 606, 7969, 27694, 538, 476, 15171, 278, 267, 713, 3209, 2934, 8071, 4593, 534, 2003, 541, 5261, 540, 645, 2532, 969, 4068, 14236, 513, 3126, 540, 15294, 619, 9624, 2797, 543, 24396, 13253 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4631, 16610, 540, 544, 1535, 562, 630, 332, 18016, 476, 274, 267, 562, 18016, 476, 274, 264, 1483, 14290, 267, 4238, 540, 1840, 267, 22185, 8691, 543, 8691, 540, 14290, 269, 3690, 2821, 540, 513, 5119, 269, 10318, 5364, 540, 513, 4009, 5119, 269, 16544, 540, 21876, 630, 8063, 618, 1152, 1040, 19724, 267, 1071, 26476, 543, 7755, 2002, 540, 513, 5119, 269, 715, 976, 532, 983, 5119, 269, 769, 2091, 540, 513, 5119, 269, 15531, 1858, 540, 513, 6906, 269, 10298, 540, 1062, 540, 5276, 4834, 269, 630, 8253, 811, 982, 476, 274, 4632, 1040, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 26344, 5852, 26344, 6248, 3252, 267, 1840, 543, 12408, 1106, 27909, 267, 1106, 27909, 5473, 2789, 543, 1016, 20123, 2118, 7285, 267, 2489, 3070, 540, 25066, 4834, 269, 16544, 540, 12730, 267, 11201, 25066, 3252, 543, 741, 3601, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 3213, 15453, 9511, 20028, 4542, 267, 3296, 4542, 267, 1858, 540, 513, 6906, 267, 2783, 540, 897, 1467, 10846, 540, 1614, 2798, 538, 513, 7077, 269, 21069, 10974, 267, 7004, 689, 31951, 547, 8701, 10974, 543, 13030, 17930, 269, 23155, 7004, 540, 17887, 267, 1523, 540, 30580, 267, 10026, 30580, 2042, 269, 32437, 540, 513, 1899, 269, 17817, 540, 3515, 538, 1114, 3029, 267, 5086, 1063, 1079, 3515, 269, 16448, 540, 13902, 640, 543, 6252, 1143, 540, 1079, 3515, 269, 20028, 540, 513, 1448, 689, 513, 1899, 269, 20028, 1063, 1079, 6252, 3515, 269, 20514, 998, 519, 1448, 540, 10167, 540, 1079, 3515, 269, 17817, 540, 513, 5858, 609, 513, 2016, 4099, 543, 8953, 269, 16448, 602, 513, 2489, 3830, 540, 2034, 4110, 538, 1535, 267, 586, 949, 2099, 513, 5858, 269, 17817, 540, 513, 5858, 538, 2474, 540, 1439, 9557, 540, 513, 8006, 1547, 17817, 540, 17242, 267, 3339, 543, 16147, 269, 20368, 13011, 3830, 540, 513, 5858, 269, 28249, 540, 513, 1899, 609, 513, 5858, 269, 17817, 540, 1455, 16147, 540, 1079, 12969, 532, 10580, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 1109, 274, 5937, 7645, 3213, 268, 15453, 9511, 667, 3925, 5430, 1149, 543, 4287, 12753, 267, 3845, 1063, 1079, 2798, 543, 3296, 4542, 267, 3830, 540, 513, 2786, 1899, 267, 3830, 540, 513, 7077, 267, 3845, 540, 513, 1448, 689, 513, 7077, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 763, 800, 540, 20145, 12793, 267, 5888, 540, 1079, 3252, 543, 11201, 540, 513, 1599, 267, 3970, 267, 15364, 267, 12045, 267, 5832, 4341, 267, 12045, 540, 17697, 3252, 543, 3252, 3989, 4164, 564, 29182, 269, 16949, 607, 513, 9258, 1184, 540, 15285, 267, 22543, 9548, 7533, 540, 3044, 3252, 269, 16949, 676, 2694, 269, 16949, 676, 18839, 543, 9864, 6824, 269, 4347, 9548, 7533, 607, 513, 3970, 540, 513, 2040, 609, 3160, 30834, 2888, 269, 27284, 11532, 540, 7533, 11810, 543, 922, 3156, 269, 16544, 540, 17386, 29398, 269, 19725, 540, 8723, 11186, 4834, 267, 3070, 540, 24267, 11186, 4834, 267, 9668, 540, 4632, 1505, 267, 5276, 1101, 1931, 11186, 4834, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 1109, 32101, 540, 20145, 19358, 757, 543, 2343, 1023, 267, 2175, 540, 8126, 1890, 269, 10318, 1588, 540, 27865, 4577, 640, 267, 3193, 9874, 543, 6922, 320, 269, 27018, 11664, 607, 513, 2268, 540, 2557, 269, 18289, 538, 513, 2786, 1899, 609, 3586, 10231, 269, 2983, 6248, 7664, 540, 17386, 7533, 607, 1858, 267, 9819, 540, 1858, 22112, 676, 10026, 14258, 543, 18135, 697, 3515, 269, 9351, 540, 519, 3148, 3769, 1063, 1079, 10026, 14258, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 1109, 303, 1069, 16615, 543, 4999, 18983, 16615, 540, 562, 1114, 1919, 3144, 678, 693, 513, 942, 630, 337, 18016, 562, 1040, 18983, 16615, 540, 562, 1919, 711, 782, 1114, 269, 18983, 16615, 609, 10221, 1431, 630, 15132, 983, 32089, 16934, 1040, 10395, 5209, 540, 562, 1114, 1919, 3144, 678, 693, 513, 942, 630, 337, 18016, 562, 1040, 10395, 1588, 540, 562, 1919, 711, 782, 1114, 269, 9978, 3601, 269, 10819, 5473, 1312, 32545, 543, 10659, 269, 18904, 288, 28924, 16086, 476, 1001, 280, 585, 1109, 32417, 543, 17438, 12763, 540, 24980, 267, 1611, 267, 13065, 543, 3044, 11539, 267, 4908, 3892, 269, 18827, 543, 8691, 3652, 540, 5506, 267, 19585, 5506, 543, 7345, 525, 685, 14497, 267, 7115, 540, 2621, 267, 7368, 4830, 8062, 543, 23642, 6706, 3892, 780, 2162, 18904, 288, 28924, 16086, 1109, 1001, 280, 585, 4937, 589, 696, 3363, 692, 1892, 27014, 267, 9403, 1644, 547, 6189, 543, 3710, 1604, 780, 1892, 28604, 540, 3182, 3645, 15885, 267, 10439, 2358, 1614, 8820, 3615, 689, 519, 1079, 8820, 5373, 692, 1892, 10439, 2358, 1114, 5011, 540, 476, 274, 291, 3615, 692, 1892, 30551, 7744, 267, 2790, 2702, 630, 6665, 783, 267, 10230, 543, 11913, 1070, 4937, 4656, 540, 3084, 270, 3486, 16413, 543, 4583, 11265, 13144, 692, 2793, 14011, 28924, 16086, 476, 1001, 280, 585, 19556, 7744, 1384, 1892, 32276, 267, 9266, 4238, 899, 543, 267, 610, 267, 952, 543, 1152, 952, 267, 10522, 267, 22466, 676, 692, 1892, 4197, 540, 512, 2246, 1108, 267, 598, 2091, 267, 27171, 267, 543, 15333, 27168, 692, 2793, 14011, 28924, 16086, 476, 1001, 280, 585, 30498, 543, 9534, 1384, 1892, 22830, 540, 5036, 267, 29162, 267, 1379, 1305, 267, 9148, 267, 9769, 267, 10167, 543, 3017, 540, 5036, 267, 966, 3317, 6516, 267, 1546, 21546, 781, 16572, 267, 4039, 566, 543, 922, 3601, 692, 1892, 4982, 2526, 775, 6935, 2443, 4214, 543, 10026, 1806, 780, 18904, 288, 28924, 16086, 1109, 258, 20204, 11762, 4427, 31795, 923, 18904, 288, 28924, 16086, 1109, 1001, 280, 585, 1109, 14197, 27014, 267, 9403, 1644, 547, 6189, 543, 3710, 1604, 269, 28604, 540, 3182, 3645, 15885, 267, 10439, 1944, 1614, 8820, 3615, 689, 1079, 8820, 5373, 269, 10439, 1944, 1114, 5011, 540, 476, 274, 291, 3615, 269, 30551, 7744, 267, 2790, 2702, 630, 6665, 783, 267, 10230, 543, 11913, 1070, 4937, 4656, 540, 3084, 270, 3486, 16413, 543, 4583, 11265, 13144, 269, 18904, 288, 28924, 16086, 1109, 1001, 280, 585, 1109, 12385, 3012, 673, 7744, 32276, 267, 9266, 4238, 899, 543, 267, 610, 267, 952, 543, 1152, 952, 267, 10522, 267, 22466, 676, 269, 4197, 540, 512, 2246, 1108, 267, 598, 2091, 267, 27171, 543, 15333, 27168, 269, 18904, 288, 28924, 16086, 1109, 1001, 280, 585, 1109, 306, 1115, 543, 9534, 634, 2856, 540, 5036, 267, 29162, 267, 1379, 1305, 267, 9148, 267, 9769, 267, 10167, 543, 3017, 540, 5036, 267, 966, 3317, 6516, 267, 1546, 21546, 781, 16572, 267, 4039, 566, 543, 922, 3601, 269, 4982, 2526, 775, 6935, 2443, 4214, 543, 10026, 1806, 780, 2162, 18904, 288, 1109, 1001, 280, 28924, 16086, 585, 14301, 4530, 23241, 1892, 4197, 540, 4336, 543, 8167, 540, 3615, 267, 12166, 5888, 267, 3337, 267, 2679, 3029, 543, 2609, 267, 15312, 267, 7990, 9403, 267, 10103, 543, 4334, 692, 1892, 10417, 783, 1436, 543, 10439, 5314, 998, 1785, 1005, 3615, 538, 3965, 692, 1892, 14301, 540, 3270, 910, 1312, 22762, 3740, 543, 7493, 692, 1892, 4813, 14759, 538, 476, 273, 291, 543, 476, 274, 291, 899, 9769, 267, 12408, 267, 10047, 267, 7252, 267, 543, 12531, 692, 1892, 9198, 908, 1544, 267, 15038, 543, 476, 274, 291, 5784, 540, 3615, 692, 1892, 12861, 476, 273, 291, 543, 476, 274, 291, 15885, 1210, 2016, 5546, 543, 3029, 692, 1892, 21887, 5373, 267, 4787, 564, 4221, 540, 2712, 321, 753, 3874, 543, 5251, 267, 5871, 1554, 3562, 6377, 1272, 3615, 899, 11647, 267, 3937, 3092, 1421, 689, 3965, 780, 18904, 288, 28924, 16086, 1109, 258, 20204, 13445, 4427, 31795, 923, 18904, 288, 28924, 16086, 1109, 258, 20204, 585, 14301, 4530, 4197, 540, 4336, 543, 8167, 540, 3615, 267, 12166, 5888, 267, 3337, 267, 2679, 3029, 543, 2609, 267, 15312, 267, 7990, 9403, 267, 10103, 543, 4334, 269, 10417, 783, 1436, 543, 10439, 1436, 998, 1785, 1005, 3615, 538, 3965, 269, 14301, 540, 3270, 910, 1312, 22762, 3740, 543, 7493, 269, 4813, 14759, 538, 476, 273, 291, 543, 476, 274, 291, 899, 9769, 267, 12408, 267, 10047, 267, 7252, 543, 12531, 269, 9198, 908, 1544, 267, 15038, 543, 476, 274, 291, 5784, 540, 3615, 269, 12861, 476, 273, 291, 543, 476, 274, 291, 15885, 1210, 2016, 3337, 543, 3029, 269, 21887, 5373, 267, 4787, 564, 4221, 540, 2712, 321, 753, 3874, 543, 5251, 267, 5871, 1554, 3562, 6377, 1272, 3615, 899, 11647, 267, 3937, 3092, 1421, 689, 3965, 780, 299, 633, 13335, 22553, 692, 2162, 17564, 17072, 692, 304, 454, 6343, 568, 519, 28924, 16086, 585, 18904, 288, 476, 1001, 279, 981, 2496, 6343, 568, 519, 28924, 16086, 585, 18904, 288, 476, 1001, 279, 981, 2496, 288, 692, 15916, 8061, 30231, 10484, 288, 692, 15916, 4427, 327, 1662, 10484, 304, 454, 6343, 568, 519, 28924, 16086, 585, 14301, 981, 2496, 6343, 568, 519, 28924, 16086, 585, 14301, 981, 2496, 288, 692, 15916, 8061, 30231, 10484, 1892, 4197, 540, 4336, 543, 8167, 540, 3615, 267, 12166, 5888, 267, 3337, 267, 2679, 3029, 543, 2609, 267, 15312, 267, 7990, 9403, 267, 10103, 543, 4334, 692, 1892, 10417, 783, 1436, 543, 10439, 5314, 998, 1785, 1005, 3615, 538, 3965, 692, 1892, 14301, 540, 3270, 910, 1312, 22762, 3740, 543, 7493, 692, 1892, 4813, 14759, 538, 476, 273, 291, 543, 476, 274, 291, 899, 9769, 267, 12408, 267, 10047, 267, 7252, 267, 543, 12531, 692, 1892, 9198, 908, 1544, 267, 15038, 543, 476, 274, 291, 5784, 540, 3615, 692, 1892, 12861, 476, 273, 291, 543, 476, 274, 291, 15885, 1210, 2016, 5546, 543, 3029, 692, 1892, 21887, 5373, 267, 4787, 564, 4221, 540, 2712, 321, 753, 3874, 543, 5251, 267, 5871, 1554, 3562, 6377, 1272, 3615, 899, 11647, 267, 3937, 3092, 1421, 689, 3965, 780, 304, 454, 2793, 14011, 476, 1001, 278, 14301, 1449, 21038, 692, 1432, 568, 519, 21038, 585, 519, 5373, 1449, 538, 519, 18904, 288, 981, 2496, 288, 692, 763, 5373, 1449, 21038, 585, 519, 18904, 288, 981, 568, 607, 2630, 281, 910, 692, 1892, 21887, 5373, 2631, 540, 606, 10572, 563, 1892, 634, 12588, 540, 606, 1367, 547, 2721, 519, 2016, 1843, 8167, 2299, 543, 1118, 621, 538, 513, 11617, 13267, 6073, 563, 1892, 589, 1434, 1620, 540, 1160, 1636, 1308, 543, 17361, 563, 1892, 634, 1259, 540, 14301, 1554, 547, 1554, 2833, 1210, 22796, 563, 1892, 26157, 519, 2016, 8422, 667, 7645, 3889, 543, 2679, 513, 7293, 1106, 563, 1892, 10558, 532, 513, 3308, 10103, 1210, 1434, 7990, 25780, 563, 1892, 11300, 3206, 547, 1628, 4277, 3889, 1210, 2016, 5565, 5937, 7645, 3029, 780, 304, 454, 5141, 541, 2305, 827, 519, 589, 20469, 11576, 6638, 4530, 692, 4692, 596, 1683, 3877, 827, 519, 589, 20469, 11576, 6638, 4530, 286, 0, 1012, 16504, 10789, 692, 763, 1858, 568, 476, 271, 269, 1839, 7445, 7032, 259, 13452, 521, 338, 32464, 563, 763, 4542, 585, 519, 1858, 540, 513, 5858, 568, 4399, 7032, 259, 4399, 9392, 259, 1269, 337, 3867, 273, 4151, 634, 8006, 568, 7466, 519, 8953, 269, 1924, 281, 546, 815, 476, 273, 337, 476, 272, 815, 476, 273, 337, 678, 815, 476, 271, 269, 276, 15240, 3482, 476, 271, 269, 276, 585, 678, 547, 3489, 281, 589, 815, 4399, 7032, 259, 4399, 9392, 259, 1269, 271, 269, 276, 3867, 273, 4151, 589, 815, 4399, 7032, 259, 4399, 9392, 259, 476, 271, 269, 1839, 589, 815, 476, 271, 269, 1839, 7445, 7032, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18966, 1916, 268, 13852, 1696, 620, 269, 630, 2735, 277, 264, 13852, 267, 590, 269, 589, 1421, 670, 843, 3558, 267, 681, 269, 654, 1421, 1299, 17566, 517, 267, 589, 269, 808, 269, 476, 2735, 277, 267, 631, 24520, 3008, 267, 476, 23417, 267, 476, 276, 1724, 454, 268, 645, 13224, 344, 1696, 620, 269, 630, 1001, 274, 264, 645, 13224, 344, 267, 674, 1421, 667, 6403, 1794, 267, 681, 269, 674, 1421, 670, 2946, 1962, 731, 267, 717, 1421, 1696, 620, 269, 476, 1001, 274, 267, 589, 26031, 267, 476, 276, 5392, 267, 589, 5392, 454, 268, 645, 13224, 344, 1696, 620, 269, 630, 1220, 280, 264, 645, 13224, 344, 267, 674, 1421, 670, 2946, 1962, 731, 267, 717, 1421, 772, 323, 787, 267, 590, 1421, 1696, 620, 269, 476, 1220, 280, 267, 589, 26031, 267, 476, 31746, 267, 476, 5952, 274, 454, 268, 8738, 330, 14516, 1696, 620, 269, 630, 1960, 278, 264, 8738, 330, 14516, 267, 966, 1421, 16549, 8124, 267, 623, 1421, 1299, 5651, 22641, 267, 715, 269, 476, 1960, 278, 267, 7442, 297, 267, 476, 275, 3445, 267, 476, 29044, 454, 268, 932, 3930, 328, 1299, 8575, 25005, 630, 2735, 277, 264, 932, 3930, 328, 267, 595, 269, 1299, 8575, 25005, 267, 589, 269, 476, 2735, 277, 267, 589, 6938, 26031, 267, 476, 2190, 267, 476, 31696, 454, 268, 2552, 328, 1696, 620, 269, 630, 3192, 278, 264, 2552, 328, 267, 623, 269, 590, 1421, 2274, 788, 267, 661, 269, 631, 1421, 1299, 31240, 516, 267, 808, 269, 808, 269, 476, 3192, 278, 267, 7442, 297, 267, 476, 20969, 267, 476, 4037, 280, 454, 268, 632, 631, 1074, 1696, 620, 269, 630, 1220, 280, 264, 632, 631, 1074, 267, 590, 269, 661, 1421, 595, 21468, 10314, 267, 631, 1421, 700, 9734, 267, 715, 1421, 1696, 620, 269, 476, 1220, 280, 267, 589, 26031, 267, 476, 5392, 278, 267, 476, 25838, 454, 268, 17378, 13987, 630, 2735, 274, 264, 17378, 13987, 267, 623, 269, 623, 269, 476, 2735, 274, 267, 7442, 297, 267, 476, 28803, 267, 476, 3607, 279, 454, 268, 661, 330, 1598, 7238, 332, 1696, 620, 269, 630, 1001, 273, 264, 661, 330, 1598, 7238, 332, 267, 590, 1421, 9677, 344, 267, 595, 1421, 17378, 523, 31000, 267, 623, 1421, 1696, 620, 269, 476, 1001, 273, 267, 589, 26031, 267, 476, 276, 4391, 267, 589, 16409, 454, 268, 25661, 807, 1696, 620, 269, 630, 1001, 275, 264, 25661, 807, 267, 631, 1421, 4173, 516, 549, 267, 589, 1421, 715, 1690, 541, 549, 267, 674, 1421, 31143, 517, 267, 667, 269, 808, 1421, 1299, 22176, 329, 663, 549, 7984, 321, 2033, 10937, 267, 631, 269, 476, 1001, 275, 267, 7442, 297, 267, 476, 4281, 279, 267, 476, 5038, 454, 268, 12275, 1633, 1696, 620, 269, 630, 1001, 278, 264, 12275, 1633, 267, 681, 1421, 13660, 1111, 517, 267, 623, 269, 700, 1421, 27213, 267, 595, 269, 808, 1421, 1696, 620, 269, 476, 1001, 278, 267, 1488, 311, 643, 552, 268, 21646, 1496, 315, 788, 11781, 314, 541, 311, 643, 316, 10204, 275, 269, 5881, 272, 4029, 2639, 268, 717, 625, 630, 1220, 274, 264, 717, 625, 267, 667, 269, 681, 269, 476, 1220, 274, 267, 538, 29722, 308, 32600, 267, 5292, 269, 476, 18891, 267, 589, 7136, 633, 10060, 31660, 281, 3245, 6301, 25627, 547, 8111, 2617, 320, 267, 1196, 269, 918, 269, 8709, 3541, 670, 1276, 339, 267, 589, 269, 4173, 516, 549, 267, 1299, 595, 269, 661, 4614, 3316, 267, 476, 11011, 454, 268, 22630, 630, 3192, 277, 264, 22630, 267, 667, 269, 674, 269, 476, 3192, 277, 267, 634, 8343, 543, 2079, 540, 24974, 2584, 2214, 12742, 454, 268, 13983, 1407, 572, 1696, 620, 269, 630, 1001, 271, 264, 13983, 1407, 572, 267, 715, 1421, 1306, 680, 1495, 267, 631, 1421, 28397, 1998, 267, 589, 269, 808, 1421, 1299, 8845, 267, 623, 269, 476, 1001, 271, 267, 7442, 261, 7704, 267, 476, 29044, 267, 476, 9692, 454, 268, 6182, 514, 1696, 620, 269, 630, 1001, 278, 264, 6182, 514, 267, 715, 269, 808, 1421, 10548, 6403, 30959, 5025, 326, 644, 601, 334, 267, 744, 269, 670, 1421, 632, 918, 582, 518, 267, 589, 1421, 1696, 620, 269, 476, 1001, 278, 267, 589, 26031, 267, 476, 7785, 267, 589, 11025, 454, 268, 6182, 26044, 583, 1696, 620, 269, 630, 1001, 274, 264, 6182, 26044, 583, 267, 808, 269, 670, 1421, 654, 1228, 267, 717, 269, 589, 1421, 2274, 9790, 1122, 3455, 267, 631, 1421, 1696, 620, 269, 476, 1001, 274, 267, 631, 24520, 3008, 267, 476, 275, 2764, 267, 476, 12739, 277, 454, 268, 6182, 26044, 583, 1696, 620, 269, 630, 1001, 278, 264, 6182, 26044, 583, 267, 808, 269, 670, 1421, 654, 1228, 267, 717, 269, 589, 1421, 3026, 10719, 267, 595, 1421, 1696, 620, 269, 476, 1001, 278, 267, 631, 24520, 3008, 267, 476, 275, 4792, 267, 476, 25838, 273, 454, 268, 16874, 571, 9366, 630, 1960, 276, 264, 16874, 571, 9366, 267, 623, 269, 476, 1960, 276, 267, 589, 261, 3008, 267, 476, 14625, 267, 476, 4375, 274, 454, 268, 15053, 534, 1815, 1696, 620, 269, 630, 1001, 275, 264, 15053, 534, 1815, 267, 623, 1421, 4591, 16936, 1066, 267, 667, 269, 661, 1421, 16423, 267, 631, 1421, 1696, 620, 269, 476, 1001, 275, 267, 589, 26031, 267, 476, 6321, 274, 267, 589, 6344, 454, 268, 14250, 625, 1696, 620, 269, 630, 1960, 278, 264, 14250, 625, 267, 570, 269, 808, 1421, 670, 843, 3558, 267, 681, 269, 654, 1421, 1299, 10830, 267, 717, 269, 476, 1960, 278, 267, 631, 24520, 3008, 267, 476, 26326, 267, 476, 28071, 454, 268, 670, 843, 3558, 1696, 620, 269, 630, 1960, 277, 264, 670, 843, 3558, 267, 681, 269, 654, 1421, 14250, 625, 267, 570, 269, 808, 1421, 1299, 13852, 267, 590, 269, 589, 269, 476, 1960, 277, 267, 589, 26031, 267, 476, 27183, 267, 476, 13679, 454, 268, 10830, 1512, 1299, 16019, 630, 1960, 279, 264, 10830, 1512, 267, 667, 269, 808, 269, 1299, 16019, 267, 667, 269, 700, 269, 476, 1960, 279, 267, 7442, 297, 267, 476, 5392, 277, 267, 476, 2412, 278, 454, 268, 29399, 1696, 620, 269, 630, 1001, 271, 264, 29399, 267, 654, 1421, 717, 625, 267, 667, 269, 681, 1421, 1299, 5062, 18933, 664, 267, 631, 269, 966, 269, 476, 1001, 271, 267, 7442, 297, 267, 476, 278, 2420, 267, 476, 2568, 276, 454, 268, 28865, 1696, 620, 269, 630, 1220, 279, 264, 28865, 267, 594, 1421, 7935, 1777, 267, 594, 1421, 31143, 517, 267, 667, 269, 808, 1421, 1696, 620, 269, 476, 1220, 279, 267, 7442, 297, 267, 476, 6858, 277, 267, 700, 3066, 454, 268, 918, 984, 592, 333, 1157, 344, 1696, 620, 269, 630, 1001, 275, 264, 918, 984, 592, 333, 1157, 344, 267, 670, 269, 589, 1421, 13690, 1074, 328, 267, 667, 269, 595, 1421, 700, 1495, 638, 626, 267, 631, 269, 808, 1421, 1696, 620, 269, 476, 1001, 275, 267, 7442, 297, 306, 267, 476, 22659, 267, 476, 4097, 454, 268, 700, 9734, 1696, 620, 269, 630, 1220, 279, 264, 700, 9734, 267, 715, 1421, 595, 21468, 10314, 267, 631, 1421, 962, 3019, 267, 590, 11607, 290, 1421, 1696, 620, 269, 476, 1220, 279, 267, 538, 29722, 308, 32600, 267, 5292, 269, 476, 7742, 267, 7136, 633, 25578, 607, 15328, 6193, 1621, 1149, 267, 1196, 269, 674, 269, 645, 637, 22223, 267, 623, 269, 589, 269, 18844, 750, 267, 1299, 808, 269, 623, 6160, 267, 476, 15757, 1700, 9965, 454, 268, 700, 5407, 1696, 620, 269, 630, 1220, 279, 264, 700, 5407, 267, 715, 1421, 681, 879, 342, 267, 717, 1421, 6742, 1231, 267, 674, 1421, 1696, 620, 269, 476, 1220, 279, 267, 589, 26031, 267, 476, 4366, 280, 267, 476, 278, 1724, 454, 268, 8575, 25005, 1299, 2725, 2106, 564, 630, 1220, 271, 264, 8575, 25005, 267, 589, 269, 1299, 2725, 2106, 564, 267, 717, 269, 476, 1220, 271, 267, 589, 6938, 26031, 267, 476, 4343, 267, 476, 16960, 454, 268, 8575, 1506, 1696, 620, 269, 630, 1001, 278, 264, 8575, 1506, 267, 700, 1421, 12456, 518, 323, 10202, 267, 962, 1421, 717, 1601, 564, 267, 661, 1421, 1696, 620, 269, 476, 1001, 278, 267, 1488, 311, 643, 552, 268, 21646, 1496, 315, 788, 11781, 314, 541, 311, 643, 316, 10204, 278, 269, 22903, 2568, 2639, 268, 8575, 1506, 1696, 620, 269, 630, 1001, 272, 264, 8575, 1506, 267, 700, 1421, 6742, 1231, 267, 674, 1421, 7557, 5964, 267, 595, 1421, 5213, 10620, 267, 808, 11607, 293, 1421, 1299, 25376, 4958, 267, 808, 11607, 290, 269, 476, 1001, 272, 267, 589, 26031, 267, 476, 276, 3451, 267, 589, 280, 454, 268, 8575, 1506, 1696, 620, 269, 630, 1001, 274, 264, 8575, 1506, 267, 700, 1421, 681, 879, 342, 267, 717, 1421, 1546, 2142, 14982, 267, 631, 1421, 661, 523, 839, 267, 623, 1421, 1299, 4469, 2803, 267, 595, 269, 589, 269, 476, 1001, 274, 267, 589, 26031, 267, 476, 20862, 267, 589, 2767, 454, 268, 13495, 601, 1299, 632, 631, 1074, 630, 1001, 277, 264, 13495, 601, 267, 594, 269, 1299, 632, 631, 1074, 267, 590, 269, 661, 269, 476, 1001, 277, 267, 631, 24520, 3008, 267, 476, 3393, 279, 267, 476, 28091, 275, 454, 268, 6742, 1231, 630, 1001, 272, 264, 6742, 1231, 267, 674, 269, 476, 1001, 272, 267, 28743, 632, 3288, 5081, 23176, 20858, 1446, 964, 7070, 632, 17389, 613, 267, 476, 3199, 267, 476, 3066, 454, 268, 6742, 1231, 1696, 620, 269, 630, 1001, 276, 264, 6742, 1231, 267, 674, 1421, 670, 969, 2946, 267, 589, 1421, 25376, 4958, 267, 808, 11607, 290, 1421, 1696, 620, 269, 476, 1001, 276, 267, 589, 26031, 267, 476, 276, 4037, 267, 589, 4097, 454, 268, 6742, 1231, 1696, 620, 269, 630, 1220, 276, 264, 6742, 1231, 267, 674, 1421, 5576, 320, 19907, 267, 667, 1421, 1299, 10830, 1512, 267, 667, 269, 808, 269, 476, 1220, 276, 267, 589, 26031, 267, 476, 275, 3607, 267, 476, 10441, 280, 454, 268, 4569, 529, 1299, 3816, 639, 630, 1001, 274, 264, 4569, 529, 267, 590, 269, 1299, 3816, 639, 267, 674, 269, 476, 1001, 274, 267, 538, 17976, 11872, 538, 8212, 267, 12670, 22219, 7638, 25419, 267, 5292, 269, 476, 5952, 278, 267, 17976, 11872, 538, 8212, 267, 12670, 22219, 7638, 25419, 267, 1196, 269, 808, 11607, 303, 269, 681, 9926, 601, 582, 1299, 595, 269, 1547, 3026, 10719, 267, 476, 9340, 1700, 15704, 454, 268, 2725, 2106, 564, 1696, 620, 269, 630, 1001, 272, 264, 2725, 2106, 564, 267, 717, 1421, 17378, 523, 31000, 267, 623, 1421, 1299, 8575, 25005, 267, 589, 269, 476, 1001, 272, 267, 589, 26031, 267, 476, 30589, 267, 700, 1556, 454, 268, 2725, 2106, 564, 1299, 8575, 25005, 630, 1220, 274, 264, 2725, 2106, 564, 267, 717, 269, 1299, 8575, 25005, 267, 589, 269, 476, 1220, 274, 267, 589, 26031, 267, 476, 29024, 267, 476, 280, 4037, 454, 268, 715, 773, 9366, 1299, 2398, 5414, 321, 8759, 630, 1001, 275, 264, 715, 773, 9366, 267, 631, 11607, 293, 269, 1299, 2398, 5414, 321, 8759, 267, 715, 269, 476, 1001, 275, 267, 589, 26031, 267, 476, 276, 5780, 267, 589, 278, 454, 268, 6022, 622, 1696, 620, 269, 630, 1001, 274, 264, 6022, 622, 267, 631, 1421, 681, 879, 342, 267, 717, 1421, 918, 14535, 12127, 31000, 267, 717, 1421, 1299, 2859, 7224, 267, 661, 269, 476, 1001, 274, 267, 589, 26031, 267, 476, 4649, 273, 267, 589, 4375, 454, 268, 623, 822, 21754, 24989, 1299, 670, 839, 828, 613, 630, 1001, 271, 264, 623, 822, 21754, 24989, 267, 918, 269, 1299, 670, 839, 828, 613, 267, 670, 269, 476, 1001, 271, 267, 538, 13562, 13929, 5980, 540, 519, 7414, 10985, 10022, 267, 5292, 269, 476, 31973, 267, 23642, 2456, 910, 6206, 547, 24366, 540, 519, 17807, 267, 1196, 269, 589, 269, 2398, 20795, 320, 1299, 631, 269, 14858, 329, 6767, 267, 476, 21709, 454, 268, 623, 10154, 1299, 717, 625, 630, 1220, 280, 264, 623, 10154, 267, 700, 269, 681, 269, 1299, 717, 625, 267, 667, 269, 681, 269, 476, 1220, 280, 267, 7442, 297, 267, 476, 10384, 267, 476, 279, 4510, 454, 268, 31473, 2006, 1696, 620, 269, 630, 1960, 278, 264, 31473, 2006, 267, 631, 269, 589, 269, 595, 1421, 14811, 1122, 1066, 267, 700, 1421, 918, 990, 1446, 341, 20391, 267, 808, 1421, 1696, 620, 269, 476, 1960, 278, 267, 589, 26031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 945, 14902, 693, 2933, 616, 849, 4847, 547, 14902, 693, 1866, 543, 786, 7772, 2685, 849, 1780, 519, 10700, 1449, 540, 1373, 561, 13774, 1117, 693, 2933, 1107, 513, 1449, 602, 1454, 16957, 9644, 2356, 14543, 3765, 518, 2406, 3034, 2005, 568, 1434, 543, 1318, 585, 721, 547, 14902, 693, 6000, 267, 3226, 538, 519, 1769, 540, 938, 20785, 1222, 267, 585, 649, 616, 4986, 811, 982, 1004, 588, 22824, 1472, 538, 519, 14334, 15691, 602, 2696, 666, 1118, 1945, 540, 938, 15962, 563, 4517, 952, 649, 616, 2111, 547, 14902, 693, 6000, 1287, 649, 616, 538, 1434, 3337, 269, 1280, 267, 17409, 568, 519, 14191, 3364, 547, 519, 11419, 540, 2696, 269, 0, 1432, 3657, 966, 12686, 1656, 1548, 3657, 634, 2657, 24093, 23105, 2060, 898, 888, 1432, 568, 552, 4211, 7837, 12076, 286, 1323, 5907, 16906, 568, 2965, 606, 3167, 3926, 799, 1138, 12885, 7296, 10269, 269, 898, 3335, 11438, 513, 7382, 267, 513, 6007, 267, 543, 606, 3167, 1379, 2707, 899, 513, 22507, 762, 6007, 610, 606, 8028, 740, 1986, 269, 13298, 982, 10269, 267, 519, 15137, 518, 11375, 2297, 7657, 1819, 11517, 3079, 563, 7197, 3167, 13189, 19951, 849, 2270, 11922, 602, 616, 1767, 547, 581, 5363, 538, 17212, 1324, 543, 25695, 835, 779, 9641, 269, 661, 4211, 7837, 10577, 616, 2442, 538, 6266, 540, 2694, 540, 519, 1158, 1317, 621, 786, 711, 1860, 519, 15137, 518, 779, 1560, 899, 519, 13545, 543, 15522, 689, 13189, 798, 269, 24511, 267, 552, 4211, 7837, 10577, 616, 1454, 10930, 3379, 547, 519, 6671, 3283, 269, 1306, 971, 267, 1210, 606, 5907, 13189, 568, 4749, 5219, 547, 607, 968, 309, 8388, 1944, 9731, 5629, 596, 11517, 1125, 267, 596, 616, 11375, 2718, 519, 10786, 21555, 2059, 609, 824, 29316, 22643, 832, 269, 1809, 267, 713, 568, 711, 519, 1152, 5413, 540, 642, 16747, 269, 1703, 616, 930, 5739, 6464, 543, 13802, 1459, 538, 2757, 13189, 602, 11129, 547, 711, 581, 31067, 269, 1280, 3236, 267, 3327, 24785, 666, 581, 3983, 585, 9641, 950, 31067, 269, 9747, 267, 552, 2275, 12127, 616, 4080, 547, 581, 1447, 13818, 547, 707, 1072, 563, 763, 1985, 1981, 568, 602, 519, 5277, 3730, 585, 11517, 1944, 568, 3006, 2808, 547, 10093, 1406, 1022, 4220, 31049, 547, 707, 8171, 269, 1411, 786, 2760, 917, 267, 1247, 972, 568, 4642, 1382, 547, 6961, 519, 6811, 602, 930, 9755, 1118, 827, 741, 2472, 269, 9747, 267, 596, 4465, 1406, 2141, 917, 1018, 616, 519, 1483, 4220, 602, 2097, 609, 7296, 2834, 13189, 269, 17968, 267, 972, 616, 930, 4220, 799, 616, 2404, 609, 966, 12686, 899, 2110, 2165, 15522, 15639, 6794, 563, 14112, 3856, 15522, 15639, 6794, 568, 2938, 607, 513, 26351, 543, 15639, 2589, 267, 1519, 4160, 267, 8401, 1145, 267, 29338, 543, 19492, 20439, 1145, 269, 634, 2601, 3297, 891, 5626, 2589, 568, 1317, 540, 519, 6464, 8659, 538, 13189, 269, 4107, 5907, 13189, 798, 711, 2270, 891, 6464, 269, 9747, 267, 972, 568, 1100, 2601, 585, 1022, 15137, 518, 547, 1294, 891, 2589, 269, 1924, 267, 950, 596, 946, 552, 2275, 12127, 267, 596, 786, 711, 723, 547, 5855, 827, 891, 15639, 2589, 563, 25821, 13189, 1810, 1406, 723, 13545, 543, 6757, 8673, 269, 769, 1249, 267, 789, 798, 711, 5305, 1022, 971, 5739, 9362, 607, 949, 581, 519, 2013, 609, 2834, 13189, 269, 901, 2306, 873, 10930, 547, 946, 982, 741, 2168, 13413, 269, 1924, 267, 621, 568, 2009, 547, 1175, 6001, 543, 26777, 519, 12178, 2404, 609, 7296, 267, 607, 596, 666, 1265, 9039, 547, 5855, 827, 609, 513, 2298, 11517, 6500, 269, 634, 552, 268, 9857, 823, 1336, 538, 11517, 1944, 3457, 1281, 711, 2270, 1022, 5739, 3114, 7135, 563, 763, 10700, 1981, 602, 568, 2404, 609, 1018, 779, 966, 8388, 1944, 568, 602, 972, 616, 6266, 540, 21596, 945, 798, 711, 7287, 547, 2285, 909, 13189, 267, 1317, 540, 519, 2168, 8213, 602, 568, 4448, 609, 7296, 269, 3509, 1004, 3112, 3247, 7296, 1256, 1310, 1296, 540, 1373, 554, 10541, 269, 1809, 267, 676, 1210, 606, 5140, 11517, 1944, 5907, 16906, 267, 596, 666, 3035, 519, 1482, 2164, 607, 1346, 945, 8673, 13189, 269, 1411, 786, 581, 2111, 547, 3247, 707, 15522, 6159, 1324, 609, 519, 5351, 540, 513, 11517, 1944, 3926, 269, 1924, 267, 596, 798, 711, 991, 547, 979, 998, 519, 1184, 540, 15639, 602, 568, 3238, 950, 596, 16718, 7296, 1210, 513, 16906, 563, 2304, 5140, 552, 268, 9857, 823, 666, 948, 596, 2972, 782, 519, 1390, 1919, 827, 22643, 832, 799, 616, 3812, 950, 606, 5907, 16906, 25457, 11517, 1944, 269, 898, 786, 581, 2009, 547, 1995, 519, 2407, 8137, 543, 24710, 540, 519, 552, 2000, 18612, 950, 596, 1118, 946, 540, 513, 2298, 11517, 1944, 3926, 269, 10866, 552, 268, 9857, 1182, 616, 3812, 1210, 513, 6417, 3002, 10540, 20791, 2593, 1184, 269, 1358, 1118, 2386, 602, 519, 5277, 568, 693, 519, 1318, 2837, 543, 596, 849, 899, 513, 5347, 5277, 267, 602, 596, 666, 11375, 1446, 3833, 3362, 563, 2791, 1058, 849, 581, 3222, 540, 519, 1249, 602, 711, 782, 15559, 616, 1655, 585, 707, 9641, 269, 1703, 616, 930, 15559, 602, 2014, 519, 11926, 540, 519, 5761, 8031, 543, 972, 779, 513, 1981, 540, 4929, 2042, 538, 519, 9641, 269, 1879, 596, 946, 22643, 832, 267, 621, 3123, 513, 9023, 1198, 593, 519, 9641, 267, 799, 2337, 547, 2061, 5761, 6553, 543, 14796, 269, 1411, 798, 711, 1205, 29279, 547, 11517, 1944, 607, 596, 616, 11981, 513, 1434, 543, 2635, 5277, 602, 1281, 711, 2800, 519, 9641, 563, 2791, 786, 9090, 1745, 1447, 15522, 26351, 267, 950, 596, 1376, 1210, 5907, 13189, 269, 12832, 13534, 26351, 616, 519, 1292, 2601, 1946, 1082, 1004, 16718, 13189, 543, 713, 2601, 1058, 581, 1031, 547, 707, 5413, 269, 1411, 4465, 1406, 1995, 15522, 8213, 950, 596, 1118, 946, 540, 1018, 568, 7957, 1681, 3079, 540, 7296, 13189, 563, 4322, 1072, 6937, 616, 4986, 3379, 547, 519, 2640, 602, 596, 786, 1995, 950, 596, 1376, 547, 946, 1018, 568, 7957, 1681, 3079, 540, 7296, 13189, 269, 1411, 786, 1995, 513, 1390, 4308, 540, 12257, 543, 596, 949, 849, 4688, 2462, 2724, 538, 519, 1184, 269, 634, 2724, 602, 596, 786, 4688, 949, 581, 1031, 547, 1521, 3054, 689, 2564, 4220, 3361, 676, 7296, 269, 1411, 3580, 723, 513, 8902, 6197, 2899, 596, 16718, 1210, 519, 13189, 269, 1411, 1058, 2119, 873, 1631, 269, 0, 17582, 7749, 3366, 676, 570, 597, 810, 2107, 633, 9149, 27525, 267, 32655, 2289, 3930, 269, 8422, 8865, 5525, 14266, 10283, 7376, 454, 19352, 532, 12651, 938, 6213, 4656, 540, 1919, 269, 15332, 519, 2168, 957, 540, 18413, 3515, 1524, 593, 513, 2627, 267, 5373, 568, 1930, 547, 824, 1761, 19929, 269, 10261, 1652, 547, 2161, 267, 713, 6626, 17748, 2882, 6041, 593, 1957, 267, 855, 849, 1022, 824, 1106, 540, 13830, 513, 1641, 610, 513, 3510, 281, 519, 13671, 8226, 540, 513, 3280, 267, 922, 11984, 689, 824, 4992, 267, 610, 519, 30810, 540, 782, 519, 4992, 602, 1118, 909, 513, 2016, 4090, 269, 14301, 666, 849, 581, 1031, 547, 2769, 606, 2962, 267, 519, 11913, 6609, 540, 513, 3965, 267, 519, 16439, 540, 513, 2219, 1184, 543, 519, 16606, 540, 606, 621, 10719, 776, 269, 14301, 568, 513, 2259, 267, 855, 519, 4480, 543, 519, 6364, 616, 711, 8209, 3908, 547, 3308, 1893, 563, 1103, 713, 13186, 267, 513, 3280, 17003, 9311, 625, 513, 4657, 267, 3309, 2619, 602, 23933, 856, 606, 621, 10719, 776, 269, 901, 1483, 610, 16494, 621, 10719, 776, 814, 513, 4358, 1448, 543, 5012, 782, 519, 1259, 547, 519, 8750, 659, 328, 6759, 19257, 6759, 269, 898, 5205, 10092, 998, 519, 2168, 2679, 543, 7475, 538, 519, 14266, 5624, 540, 32655, 2289, 3930, 269, 8422, 8865, 5525, 563, 10287, 713, 2534, 593, 1514, 2923, 454, 306, 12944, 267, 476, 275, 5181, 476, 1708, 272, 267, 693, 476, 275, 281, 1789, 10681, 0, 1103, 2376, 2073, 13343, 15776, 584, 325, 1496, 16942, 6870, 2639, 1103, 2376, 2073, 28270, 454, 2691, 594, 1101, 3323, 3843, 547, 2007, 519, 2627, 972, 8604, 547, 581, 513, 2731, 454, 628, 1157, 1412, 3901, 262, 540, 1303, 342, 1441, 5072, 602, 729, 827, 476, 273, 268, 274, 6279, 5394, 269, 16393, 693, 454, 9392, 22019, 713, 1394, 267, 855, 538, 1082, 2127, 621, 729, 1134, 12082, 883, 519, 3037, 454, 8974, 621, 269, 2311, 835, 1448, 594, 729, 5969, 621, 856, 538, 1412, 8364, 7065, 10945, 262, 543, 454, 337, 1342, 1782, 930, 3037, 689, 621, 1354, 1167, 8973, 519, 5072, 883, 513, 10822, 563, 6546, 781, 827, 1318, 269, 3973, 23643, 827, 476, 277, 6279, 896, 519, 1412, 3901, 262, 543, 1205, 519, 454, 325, 2660, 5072, 856, 269, 1411, 1439, 909, 609, 513, 2603, 540, 1360, 23182, 7745, 909, 3037, 454, 288, 3659, 15695, 602, 952, 594, 18417, 10936, 513, 6978, 593, 513, 4941, 2030, 547, 454, 32355, 3274, 7485, 1055, 519, 6978, 2676, 13433, 952, 596, 798, 621, 5612, 1354, 519, 8631, 814, 942, 547, 960, 998, 563, 528, 547, 6299, 621, 609, 3037, 563, 6546, 781, 1317, 9848, 874, 657, 622, 3587, 29680, 593, 3346, 609, 3037, 910, 865, 621, 454, 338, 904, 593, 519, 17142, 269, 594, 1810, 1405, 917, 519, 7271, 269, 6496, 27012, 513, 6978, 609, 454, 31542, 2965, 960, 888, 4913, 594, 8263, 602, 513, 2879, 698, 609, 2666, 9632, 568, 602, 835, 610, 1079, 3762, 454, 16673, 581, 7923, 547, 3833, 606, 6905, 3597, 1062, 267, 543, 865, 20857, 909, 513, 1507, 454, 262, 15634, 262, 949, 4734, 519, 5072, 3297, 936, 513, 9962, 1858, 563, 8133, 547, 606, 6708, 267, 855, 2899, 596, 2811, 538, 519, 9183, 540, 2348, 513, 1906, 1412, 20791, 454, 933, 2644, 262, 547, 2007, 267, 621, 781, 2653, 2614, 547, 3950, 1394, 519, 5072, 269, 1656, 3314, 454, 7474, 972, 781, 513, 3970, 547, 519, 3259, 540, 942, 621, 666, 979, 593, 1036, 10273, 908, 454, 527, 1345, 689, 922, 6740, 1426, 7727, 538, 519, 3597, 1510, 3478, 930, 454, 31688, 657, 11853, 2469, 910, 952, 596, 1832, 20857, 909, 519, 1906, 6967, 11353, 2676, 324, 1203, 1302, 1022, 5072, 2451, 4465, 1405, 723, 519, 1648, 547, 2322, 909, 1007, 22534, 563, 2791, 798, 917, 602, 972, 568, 513, 15254, 20672, 730, 1106, 540, 2666, 9632, 799, 568, 454, 338, 1245, 676, 4677, 18013, 607, 513, 4677, 2030, 286, 6902, 268, 994, 5591, 269, 16140, 9632, 269, 589, 1122, 641, 18754, 10540, 698, 337, 7559, 1412, 309, 541, 773, 1326, 636, 8339, 1294, 267, 585, 1383, 2676, 763, 4544, 10428, 338, 941, 630, 2865, 569, 264, 538, 519, 4677, 950, 649, 11751, 519, 2777, 269, 9747, 594, 454, 18484, 1405, 917, 4376, 827, 873, 6306, 689, 7487, 873, 2097, 909, 1142, 1032, 563, 6546, 1767, 267, 2094, 1250, 7385, 899, 4544, 10428, 338, 594, 11751, 930, 1412, 1263, 1501, 262, 3283, 2063, 454, 20204, 543, 12630, 873, 267, 865, 786, 849, 1413, 547, 1294, 952, 891, 3100, 519, 1482, 950, 454, 12626, 910, 18632, 4544, 267, 8768, 513, 7522, 8685, 983, 11350, 267, 6565, 5594, 454, 4148, 641, 6853, 693, 1283, 267, 5810, 4043, 547, 581, 782, 593, 835, 2427, 267, 5810, 1085, 5034, 454, 28049, 910, 14402, 4544, 267, 8768, 513, 811, 1930, 1166, 2130, 11350, 267, 6565, 19756, 543, 454, 699, 551, 267, 5810, 782, 1472, 267, 711, 1085, 5034, 563, 763, 1079, 11593, 10316, 1047, 563, 296, 666, 5660, 519, 1871, 540, 519, 9836, 4408, 607, 594, 723, 513, 4282, 454, 514, 2257, 910, 620, 553, 4986, 547, 798, 609, 7350, 267, 7762, 1415, 267, 610, 12202, 267, 1498, 563, 17798, 594, 4312, 2760, 4121, 1022, 540, 519, 4408, 267, 610, 741, 10096, 610, 1344, 454, 20880, 269, 594, 4126, 547, 4584, 909, 519, 1412, 331, 4833, 262, 538, 1813, 1576, 267, 855, 519, 2879, 698, 568, 454, 1492, 6654, 835, 269, 634, 22406, 2039, 540, 2371, 543, 519, 10848, 540, 782, 519, 454, 12648, 621, 9900, 267, 855, 1205, 883, 519, 4356, 693, 519, 1376, 269, 8347, 547, 3314, 519, 454, 331, 11294, 538, 13283, 547, 519, 7005, 267, 543, 1118, 513, 1448, 540, 4466, 856, 454, 6518, 1920, 519, 8768, 568, 538, 269, 1924, 707, 4544, 10428, 568, 538, 519, 561, 1176, 1920, 2676, 531, 784, 609, 519, 561, 25788, 630, 984, 16227, 1070, 782, 519, 19637, 267, 519, 546, 3530, 617, 2812, 267, 543, 454, 16341, 9642, 885, 899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3947, 4126, 585, 713, 9764, 22237, 1935, 267, 543, 519, 1604, 267, 607, 621, 568, 1210, 3653, 1570, 543, 4227, 3560, 543, 3790, 585, 5663, 563, 8072, 2171, 723, 7152, 609, 938, 5730, 16213, 1505, 602, 713, 5756, 6040, 9228, 20159, 593, 1210, 1804, 5666, 540, 21432, 12285, 5536, 538, 6405, 666, 1631, 581, 7753, 269, 634, 4480, 3322, 1210, 9241, 2966, 16213, 22285, 338, 547, 14771, 519, 21432, 12285, 14919, 538, 4195, 6405, 602, 10597, 519, 2679, 1570, 779, 2773, 19028, 22117, 2278, 543, 12854, 11001, 267, 15011, 13758, 631, 727, 523, 21853, 5771, 563, 2252, 519, 1184, 568, 18202, 856, 11451, 267, 621, 1223, 3648, 2569, 938, 4616, 540, 2067, 2200, 267, 543, 4194, 519, 5571, 1966, 540, 1031, 1286, 1119, 516, 3653, 269, 634, 3173, 849, 1039, 602, 621, 666, 581, 5189, 1942, 13716, 1947, 883, 4540, 4853, 6405, 2504, 6703, 267, 799, 1797, 519, 2104, 7872, 540, 5610, 568, 1360, 1483, 256, 0, 5331, 513, 1158, 1141, 3025, 945, 26136, 883, 519, 1390, 13964, 17358, 519, 2956, 540, 8497, 922, 5898, 543, 10347, 8134, 269, 1306, 3237, 267, 649, 723, 519, 1379, 547, 3337, 519, 2104, 676, 3450, 938, 1453, 519, 3741, 540, 23680, 3143, 29895, 269, 769, 1249, 267, 2090, 1397, 602, 3450, 891, 2418, 2038, 593, 711, 1152, 2640, 519, 1604, 855, 849, 10114, 999, 513, 2631, 540, 5539, 267, 2463, 267, 543, 7279, 1369, 938, 1762, 7045, 3464, 269, 1924, 267, 588, 1905, 593, 707, 19482, 25192, 543, 7832, 593, 513, 3460, 609, 721, 607, 649, 4001, 519, 23680, 3143, 29895, 3741, 547, 938, 1453, 267, 1818, 741, 9205, 2833, 1312, 1187, 543, 13476, 6857, 563, 8139, 23680, 3143, 29895, 543, 922, 11957, 454, 32306, 3143, 29895, 568, 513, 1305, 540, 5683, 4808, 2966, 547, 7413, 1480, 1764, 593, 2470, 269, 1635, 1739, 891, 3741, 267, 649, 666, 8190, 519, 8699, 540, 8134, 267, 2149, 9249, 267, 543, 2327, 602, 2104, 5481, 666, 2972, 891, 2067, 6753, 269, 9752, 23680, 3143, 29895, 547, 938, 3214, 568, 1271, 547, 721, 1317, 621, 16877, 873, 547, 1831, 3743, 12403, 1841, 540, 519, 1604, 1247, 849, 2870, 513, 2620, 7071, 585, 519, 1158, 1472, 873, 563, 18698, 519, 18599, 23680, 3143, 29895, 14362, 454, 268, 4643, 589, 3650, 543, 16259, 281, 5192, 873, 3238, 538, 15388, 519, 1858, 789, 616, 2469, 547, 3643, 267, 1620, 519, 3652, 543, 6042, 267, 543, 24386, 1898, 3688, 899, 7851, 267, 1216, 267, 543, 3617, 7802, 563, 268, 13488, 543, 8805, 593, 667, 9092, 5080, 5865, 281, 3816, 785, 873, 547, 3251, 593, 11280, 18162, 543, 946, 3964, 13122, 2572, 547, 7413, 938, 1764, 593, 10347, 8134, 563, 268, 2598, 2821, 540, 17904, 7743, 569, 281, 3447, 622, 1453, 827, 519, 2956, 540, 24386, 856, 782, 17885, 543, 519, 1697, 12871, 540, 1480, 3653, 547, 2061, 5533, 543, 2226, 27194, 269, 1284, 1256, 4163, 606, 3063, 9126, 609, 721, 547, 5531, 909, 16445, 602, 649, 1265, 1247, 649, 2461, 856, 3695, 563, 268, 23680, 1548, 1411, 4855, 281, 901, 568, 513, 9157, 835, 585, 1250, 3214, 269, 9181, 532, 609, 873, 519, 1871, 540, 8497, 2470, 779, 16782, 676, 6028, 3615, 1175, 607, 7725, 543, 2371, 607, 789, 616, 267, 3850, 1866, 547, 5660, 519, 13300, 540, 519, 13964, 563, 268, 3687, 4476, 8805, 13933, 8177, 281, 21290, 2922, 543, 3743, 3786, 13933, 2853, 267, 971, 607, 1210, 3964, 3595, 14034, 267, 10655, 15468, 3574, 267, 543, 4625, 24773, 5109, 11642, 547, 2061, 23967, 563, 268, 21727, 13812, 281, 17546, 873, 547, 7747, 2831, 689, 513, 2922, 3845, 267, 711, 547, 3049, 873, 267, 543, 547, 1174, 519, 2956, 540, 17706, 12371, 32069, 609, 782, 2713, 7068, 563, 268, 2142, 6333, 622, 540, 4033, 6250, 6002, 281, 11559, 873, 547, 581, 13533, 540, 8284, 7045, 3464, 676, 18245, 741, 2230, 543, 10893, 6846, 5533, 563, 3963, 21898, 3450, 23680, 3143, 29895, 547, 938, 1453, 888, 20245, 26930, 281, 5753, 1020, 513, 2631, 540, 25330, 1222, 585, 519, 1604, 267, 2870, 513, 15400, 7029, 547, 922, 11091, 563, 4910, 1051, 585, 7186, 281, 9752, 23680, 3143, 29895, 2337, 873, 1174, 875, 782, 2713, 7919, 616, 4448, 543, 2337, 547, 20741, 513, 2648, 585, 7320, 543, 741, 9249, 563, 23114, 4886, 281, 23680, 3143, 29895, 3741, 547, 3895, 1966, 9010, 267, 2565, 3206, 267, 543, 3375, 6194, 1983, 607, 789, 2253, 547, 6330, 519, 2067, 1158, 19100, 563, 32552, 17607, 281, 1358, 786, 581, 9280, 609, 519, 1702, 543, 1983, 547, 2327, 741, 1378, 3106, 543, 519, 3106, 540, 1866, 538, 9205, 5468, 563, 19522, 543, 11150, 585, 9752, 23680, 3143, 29895, 547, 5753, 454, 11328, 5562, 11242, 281, 11242, 899, 25094, 10152, 6968, 338, 267, 2470, 13492, 267, 543, 9205, 3756, 12927, 519, 5722, 3741, 538, 513, 1187, 543, 12300, 1259, 563, 1805, 1559, 543, 10020, 268, 5522, 11691, 281, 2422, 9423, 543, 1909, 25178, 532, 547, 9414, 1483, 3734, 7653, 1141, 23680, 3143, 29895, 3741, 2097, 883, 1404, 267, 3850, 1453, 547, 1174, 519, 4539, 540, 741, 3527, 563, 26903, 4750, 532, 281, 11559, 873, 547, 1832, 513, 2470, 4760, 267, 25643, 741, 9205, 2833, 543, 8086, 454, 22117, 676, 7151, 281, 5753, 616, 865, 2616, 656, 543, 1451, 1655, 998, 32649, 269, 1306, 3237, 267, 649, 1590, 1291, 676, 1383, 543, 6542, 23680, 3143, 29895, 3741, 538, 938, 1378, 3527, 563, 21206, 8249, 585, 9752, 23680, 3143, 29895, 547, 5753, 454, 13425, 856, 519, 4013, 23680, 3143, 29895, 3896, 547, 1265, 2835, 267, 2534, 10274, 543, 28085, 547, 948, 1312, 596, 543, 707, 1453, 1174, 519, 21246, 1023, 1732, 454, 763, 23680, 3143, 29895, 4741, 585, 30482, 15979, 685, 4013, 8756, 267, 2934, 2502, 1543, 4481, 2966, 585, 1453, 563, 22826, 23680, 3143, 29895, 3741, 547, 1453, 568, 606, 5092, 538, 938, 4541, 779, 2104, 269, 1924, 267, 1577, 779, 960, 1927, 547, 8300, 513, 5108, 540, 1453, 945, 1174, 519, 4644, 540, 6028, 1100, 10250, 3297, 269, 3807, 3314, 602, 19870, 568, 711, 519, 2012, 540, 519, 3014, 1934, 256, 8866, 616, 2067, 17701, 267, 789, 786, 1616, 547, 2196, 1055, 519, 29041, 2619, 267, 4584, 3552, 25154, 543, 2445, 7725, 538, 741, 22836, 269, 3776, 3804, 568, 547, 581, 741, 3391, 267, 9781, 519, 3741, 609, 971, 15131, 602, 621, 786, 5337, 924, 741, 1378, 6612, 547, 1118, 513, 2318, 1764, 543, 3314, 547, 1265, 4025, 538, 2470, 602, 789, 666, 2263, 11884, 563, 296, 8910, 2648, 547, 5873, 519, 2081, 602, 596, 4001, 610, 2203, 519, 23680, 3143, 29895, 4808, 609, 707, 1378, 1453, 256, 23680, 873, 538, 519, 8292, 2630, 2336, 32306, 513, 31400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 304, 269, 1548, 568, 519, 4317, 8232, 3590, 888, 288, 4340, 547, 519, 4139, 23267, 25944, 630, 6579, 302, 1070, 4317, 8232, 568, 513, 3102, 1935, 2966, 547, 2061, 22975, 267, 2285, 22059, 547, 519, 1367, 540, 513, 2596, 5934, 4747, 585, 5128, 543, 1010, 4096, 757, 543, 547, 2149, 519, 1367, 689, 1022, 24604, 563, 304, 269, 1548, 621, 10416, 16922, 540, 888, 288, 269, 898, 10416, 16922, 540, 1079, 2609, 267, 12077, 912, 304, 269, 1548, 568, 519, 991, 1280, 17629, 4317, 8232, 538, 3127, 888, 304, 269, 1548, 616, 519, 3268, 547, 25956, 17629, 4317, 3590, 888, 272, 269, 6987, 2056, 631, 294, 301, 3918, 16598, 547, 12124, 19791, 631, 294, 301, 3918, 16598, 814, 9863, 922, 10626, 676, 3246, 7694, 547, 6634, 540, 4600, 945, 723, 9258, 28953, 269, 4935, 267, 972, 568, 513, 2013, 585, 14178, 713, 10872, 547, 4683, 2127, 609, 18513, 4703, 1373, 2016, 519, 5539, 585, 3246, 513, 6378, 1100, 540, 2395, 960, 547, 782, 1346, 5275, 621, 563, 300, 10129, 531, 4703, 723, 513, 2039, 540, 960, 547, 1205, 2944, 267, 971, 607, 5355, 19455, 267, 5634, 18203, 267, 538, 799, 789, 1223, 1587, 1947, 946, 11668, 563, 9827, 267, 513, 631, 294, 301, 3918, 16598, 10325, 538, 4683, 2127, 666, 581, 29600, 547, 8936, 593, 7308, 18191, 984, 5578, 1646, 563, 273, 269, 31853, 4886, 3842, 2048, 13981, 1247, 2423, 940, 685, 7844, 634, 6240, 540, 968, 14048, 1247, 15980, 892, 1058, 581, 811, 25525, 3585, 4294, 547, 2087, 3127, 779, 5578, 1646, 1949, 563, 763, 1655, 1259, 547, 1451, 3730, 1983, 568, 593, 519, 2816, 267, 29979, 609, 1055, 11060, 13838, 267, 799, 814, 1044, 519, 3811, 1935, 540, 6608, 543, 12820, 538, 5125, 543, 3567, 269, 634, 6240, 540, 593, 7308, 18191, 984, 1565, 29979, 609, 2229, 23418, 9285, 2866, 666, 581, 4294, 538, 13421, 540, 1507, 543, 5420, 16904, 269, 2334, 1259, 267, 711, 1152, 666, 2168, 5989, 581, 4824, 538, 6917, 543, 4683, 2127, 267, 855, 1480, 7207, 786, 849, 581, 8195, 2919, 563, 274, 269, 21278, 17629, 2657, 15147, 720, 1703, 568, 513, 991, 547, 3715, 519, 15718, 2313, 2006, 32038, 520, 9539, 1049, 2657, 10837, 693, 782, 2157, 540, 10350, 585, 2359, 540, 519, 623, 2784, 7315, 31615, 686, 3967, 589, 541, 690, 5984, 962, 19390, 3570, 630, 15014, 11219, 17751, 1916, 9827, 267, 3152, 13190, 547, 1857, 10506, 568, 2838, 547, 946, 6811, 2724, 6383, 896, 6751, 11219, 17751, 547, 2087, 6703, 267, 6718, 519, 2556, 5061, 14121, 3949, 543, 1683, 2773, 2861, 15314, 547, 5234, 563, 2467, 568, 513, 991, 547, 2689, 543, 4401, 856, 519, 2591, 609, 519, 1870, 2203, 540, 3967, 589, 2313, 611, 6062, 8637, 547, 2327, 602, 789, 666, 1599, 607, 1582, 1606, 7739, 532, 9988, 543, 4336, 909, 6385, 2066, 519, 2197, 563, 763, 3557, 1590, 849, 1683, 519, 5989, 543, 1118, 7189, 543, 6703, 3015, 563, 275, 269, 7913, 4066, 267, 7658, 25924, 267, 26849, 11800, 540, 13598, 5061, 267, 13319, 540, 8902, 19824, 267, 543, 3152, 946, 540, 8036, 11923, 543, 1612, 3139, 923, 666, 2087, 1072, 1416, 543, 2539, 3790, 13497, 563, 1103, 713, 2796, 267, 519, 3077, 540, 9870, 519, 2671, 540, 18820, 593, 1072, 1416, 547, 476, 273, 269, 276, 260, 540, 519, 12654, 267, 607, 679, 6665, 3042, 676, 519, 2817, 1072, 3609, 476, 1001, 278, 267, 538, 519, 1985, 1079, 1296, 1131, 581, 513, 1434, 4098, 269, 0, 307, 21033, 679, 1503, 618, 1011, 5317, 855, 2640, 4268, 1107, 31232, 454, 2108, 5415, 5583, 543, 1489, 1590, 581, 3177, 547, 1762, 1053, 607, 789, 2824, 741, 2104, 11678, 2223, 1767, 19664, 717, 584, 6319, 267, 31232, 23122, 24932, 1968, 269, 968, 21930, 1004, 991, 547, 1265, 519, 1318, 3666, 540, 2123, 4690, 267, 1761, 1514, 543, 2804, 4093, 267, 543, 519, 1983, 789, 666, 2503, 547, 1020, 538, 519, 5697, 2069, 15961, 602, 786, 4163, 873, 998, 741, 2729, 3034, 19733, 693, 513, 3794, 766, 476, 1001, 278, 2882, 585, 519, 1101, 942, 538, 3829, 2079, 540, 519, 5396, 1053, 1491, 693, 25367, 543, 24596, 1377, 269, 898, 9060, 602, 1870, 267, 7245, 543, 1876, 616, 519, 1034, 2442, 11678, 538, 2477, 23500, 267, 6074, 676, 1472, 835, 538, 2185, 1053, 563, 1607, 19776, 547, 476, 1704, 260, 4974, 4702, 267, 4070, 543, 5663, 267, 543, 1447, 982, 476, 276, 260, 540, 1053, 4974, 1344, 543, 2792, 4066, 610, 23559, 267, 5103, 20021, 538, 891, 5396, 2348, 519, 5207, 7694, 2557, 593, 3328, 2066, 31232, 2477, 267, 23630, 476, 3445, 260, 538, 827, 513, 3791, 540, 873, 563, 763, 1867, 1336, 602, 476, 276, 260, 540, 24596, 1053, 1353, 2067, 9443, 267, 7194, 543, 6128, 269, 1809, 1719, 538, 2257, 267, 2029, 267, 4702, 543, 6128, 610, 13241, 5396, 9428, 609, 2362, 2157, 540, 2069, 267, 609, 3592, 5595, 519, 2671, 540, 1053, 4271, 908, 689, 891, 4610, 693, 25719, 1377, 982, 538, 20277, 779, 1377, 538, 476, 1001, 276, 563, 4322, 4610, 616, 849, 7957, 10696, 1851, 3486, 24596, 1053, 267, 609, 519, 5207, 2671, 267, 3592, 835, 21017, 540, 1346, 4974, 538, 31232, 2477, 267, 3257, 865, 538, 513, 2257, 5829, 2361, 563, 23727, 5829, 4610, 849, 4324, 689, 2362, 7694, 3928, 267, 10452, 519, 7569, 540, 606, 5051, 5647, 12454, 2486, 269, 23559, 20021, 666, 2503, 606, 7694, 2557, 602, 568, 5722, 6871, 2798, 2362, 982, 1346, 4271, 908, 689, 6575, 543, 23408, 267, 610, 689, 1514, 9443, 267, 19761, 543, 1344, 267, 519, 1867, 3081, 563, 4913, 267, 7694, 3928, 1369, 2257, 5829, 4610, 616, 21376, 281, 2067, 9443, 267, 6128, 543, 7194, 20021, 616, 811, 2693, 547, 723, 2147, 7694, 3928, 547, 6575, 543, 23408, 20021, 1107, 1312, 2539, 982, 519, 3928, 10150, 676, 8030, 610, 23559, 12665, 563, 14454, 267, 4079, 609, 513, 24596, 4110, 4324, 689, 8101, 7024, 593, 741, 5092, 281, 789, 616, 476, 1015, 260, 811, 2693, 547, 581, 6964, 267, 543, 786, 7118, 476, 6321, 260, 811, 593, 3328, 982, 4079, 945, 1152, 6192, 5580, 6281, 2069, 267, 519, 1867, 3081, 563, 5445, 616, 849, 519, 1101, 547, 9156, 689, 2804, 15125, 5281, 269, 25477, 3928, 585, 1762, 4079, 609, 24596, 5232, 723, 8120, 547, 840, 2275, 5142, 529, 2157, 267, 1247, 3928, 585, 1346, 945, 1705, 711, 2347, 5580, 6281, 2069, 616, 1869, 18848, 3101, 3297, 563, 5445, 616, 849, 1447, 2693, 547, 7985, 689, 4965, 982, 741, 1447, 268, 14445, 730, 9905, 563, 2108, 307, 21033, 2069, 14767, 5458, 12587, 585, 2043, 267, 855, 2069, 1949, 991, 547, 798, 513, 1732, 2816, 540, 7713, 547, 1762, 1004, 1018, 2090, 2709, 519, 6574, 3255, 585, 1272, 2223, 1767, 717, 584, 6319, 269, 968, 13420, 3386, 543, 1164, 7779, 2069, 10173, 2123, 30593, 618, 607, 1134, 607, 2804, 2208, 269, 18831, 1590, 1900, 909, 741, 3646, 547, 2327, 602, 2069, 28279, 741, 17050, 585, 519, 2104, 3034, 4407, 519, 1272, 8458, 540, 519, 1732, 13473, 616, 8375, 267, 1346, 945, 616, 2451, 3297, 2628, 606, 2810, 3902, 267, 538, 2474, 540, 29083, 7694, 543, 1970, 13848, 269, 2368, 476, 6246, 260, 540, 476, 1839, 268, 547, 476, 4097, 4458, 29419, 538, 519, 31232, 1185, 513, 24596, 4110, 538, 476, 1001, 277, 267, 909, 689, 476, 2918, 260, 538, 476, 1220, 271, 563, 3682, 28698, 2509, 12655, 4886, 17644, 454, 1607, 1032, 779, 7160, 540, 4065, 693, 513, 3794, 766, 849, 2708, 525, 1141, 31232, 543, 7649, 2477, 1796, 593, 741, 1259, 547, 5870, 519, 12655, 4886, 17644, 585, 2069, 676, 476, 10711, 271, 563, 2690, 930, 9072, 267, 519, 13103, 2066, 31232, 2477, 616, 8101, 269, 2201, 3328, 936, 519, 2250, 476, 1321, 3275, 267, 31232, 543, 7649, 2477, 723, 6913, 4008, 26027, 538, 519, 7589, 2557, 540, 4079, 538, 6101, 543, 1875, 27322, 531, 2069, 15961, 543, 2866, 563, 4913, 267, 713, 1267, 13968, 835, 540, 519, 4102, 7648, 1851, 782, 4008, 26027, 10832, 267, 609, 519, 5223, 540, 2021, 547, 2367, 10283, 538, 971, 15961, 538, 519, 2250, 476, 1321, 3275, 8151, 1063, 476, 271, 269, 278, 543, 476, 272, 269, 275, 2066, 2477, 563, 10527, 10770, 3604, 538, 519, 1259, 2367, 543, 2021, 2824, 741, 2104, 11678, 616, 23892, 2223, 717, 584, 6319, 3081, 563, 18131, 1869, 2099, 5111, 1152, 835, 538, 2185, 1303, 7847, 547, 4702, 267, 5663, 543, 4070, 269, 2201, 519, 824, 1688, 267, 789, 2099, 2673, 547, 1614, 540, 2185, 1303, 7847, 547, 1072, 543, 10304, 4610, 540, 1353, 269, 4033, 4610, 267, 971, 607, 1870, 7245, 543, 1876, 267, 543, 2067, 9443, 267, 6128, 543, 7194, 267, 723, 3592, 6913, 4008, 26027, 1851, 1007, 16461, 1080, 563, 24464, 616, 9991, 3297, 538, 519, 2671, 540, 1303, 7847, 883, 24596, 2069, 538, 3592, 782, 31232, 2477, 267, 609, 713, 7678, 1305, 547, 3136, 538, 519, 2104, 269, 634, 1101, 6066, 7127, 2557, 547, 24596, 2069, 585, 2021, 896, 476, 1839, 568, 476, 1556, 260, 2362, 593, 3328, 982, 585, 2367, 563, 19733, 7836, 2810, 454, 2750, 12323, 8132, 814, 1044, 2810, 693, 513, 2362, 2557, 982, 2875, 679, 1503, 906, 693, 782, 2157, 267, 3226, 24596, 18820, 2094, 476, 1001, 271, 269, 31232, 2477, 6108, 593, 3328, 2475, 259, 1015, 267, 4037, 280, 829, 1032, 829, 2875, 593, 2069, 5238, 689, 3119, 547, 24596, 2069, 281, 2475, 259, 279, 267, 278, 3451, 829, 3119, 2875, 267, 2475, 259, 1015, 267, 20720, 829, 2539, 6281, 2875, 267, 2475, 259, 1015, 267, 9264, 829, 5580, 6281, 2875, 543, 2475, 259, 1626, 267, 16960, 829, 24596, 2875, 563, 8967, 2056, 593, 3119, 547, 24596, 2069, 5238, 3448, 547, 14407, 6469, 1587, 610, 12654, 6603, 476, 277, 260, 610, 811, 538, 4516, 267, 16862, 267, 19360, 267, 3162, 9705, 267, 1715, 10215, 267, 16157, 267, 519, 2136, 8003, 543, 519, 2136, 2276, 563, 4263, 519, 824, 1439, 540, 519, 8552, 941, 519, 16231, 6243, 267, 21640, 267, 12868, 267, 24006, 10603, 32490, 267, 519, 6739, 18966, 543, 519, 30355, 752, 6243, 267, 799, 6170, 1447, 982, 476, 275, 260, 540, 12654, 593, 2069, 563, 10907, 1484, 31232, 2477, 267, 2698, 1857, 7836, 593, 3119, 547, 24596, 2069, 25939, 476, 1556, 269, 274, 260, 540, 2698, 2229, 18820, 267, 8151, 538, 31232, 543, 7649, 2477, 689, 1447, 982, 476, 279, 260, 538, 519, 16231, 6243, 267, 21640, 267, 7977, 543, 519, 6739, 18966, 547, 693, 2547, 476, 1626, 260, 538, 8478, 267, 22728, 28573, 267, 12868, 267, 6792, 267, 1715, 10215, 543, 3162, 4000, 269, 0, 297, 7731, 7991, 2405, 269, 476, 1001, 280, 2904, 5025, 1872, 282, 2918, 263, 273, 2567, 10482, 268, 12208, 269, 8222, 281, 476, 1015, 269, 25148, 274, 10768, 325, 9492, 12282, 293, 13967, 318, 11152, 318, 1240, 563, 306, 320, 1731, 807, 7537, 272, 267, 30605, 808, 272, 267, 645, 1301, 534, 623, 273, 267, 32038, 8932, 11022, 272, 563, 1103, 891, 2413, 2053, 540, 7857, 1436, 267, 519, 946, 540, 5769, 814, 1831, 606, 7533, 851, 540, 4948, 1272, 267, 2523, 519, 2729, 540, 10708, 269, 2311, 519, 1482, 942, 267, 5769, 8213, 814, 7153, 607, 513, 3978, 3413, 997, 5406, 269, 1717, 267, 519, 1764, 540, 5769, 8213, 593, 891, 2629, 1296, 540, 1272, 814, 711, 1044, 1134, 6594, 538, 3127, 269, 634, 6662, 540, 713, 1353, 729, 547, 3313, 519, 9860, 540, 5769, 8213, 538, 10708, 540, 519, 4683, 2127, 540, 21919, 14442, 8664, 543, 2708, 922, 7681, 609, 4965, 267, 4160, 267, 543, 2566, 563, 21316, 2207, 24361, 306, 6730, 631, 24518, 7495, 306, 912, 288, 3444, 22891, 1353, 729, 5342, 1851, 1053, 540, 2362, 6281, 3506, 270, 3712, 548, 2471, 538, 519, 4683, 2127, 540, 21919, 14442, 8664, 538, 2667, 600, 269, 4934, 540, 476, 9818, 2229, 543, 4357, 2362, 6281, 1153, 270, 3712, 548, 2471, 540, 21919, 14442, 8664, 267, 2667, 600, 267, 476, 1015, 12621, 941, 5697, 14477, 267, 543, 513, 2698, 540, 476, 24496, 1053, 941, 19801, 538, 519, 1353, 269, 589, 5910, 6479, 267, 2392, 525, 11220, 18102, 267, 8479, 779, 5769, 24251, 17361, 267, 543, 12870, 17520, 13262, 2480, 2297, 476, 2641, 630, 291, 19798, 2641, 264, 941, 1031, 538, 519, 1353, 269, 15616, 30026, 1449, 543, 17384, 779, 3169, 1449, 941, 1031, 547, 2708, 519, 7681, 1063, 5769, 8213, 543, 4965, 267, 2566, 267, 543, 4160, 563, 28899, 640, 630, 10463, 269, 272, 8472, 540, 519, 17013, 941, 8951, 267, 543, 1611, 2085, 729, 476, 1704, 269, 2641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 31450, 282, 31491, 720, 1797, 6946, 3270, 540, 29116, 11954, 24795, 602, 948, 519, 3662, 547, 11100, 538, 609, 922, 7226, 269, 769, 824, 2665, 267, 31491, 720, 666, 1611, 11413, 563, 26903, 781, 1148, 281, 634, 4837, 13855, 568, 849, 1360, 1507, 538, 2450, 267, 8151, 689, 476, 274, 547, 476, 278, 4699, 563, 305, 664, 11206, 9625, 27202, 7186, 9625, 19371, 29838, 267, 8835, 14175, 10809, 454, 306, 924, 609, 5863, 3662, 5961, 454, 1607, 4605, 2982, 519, 2699, 31991, 3529, 13855, 804, 15781, 547, 513, 12667, 2699, 4477, 6625, 807, 8768, 269, 16514, 281, 12832, 15614, 1234, 639, 839, 20324, 2117, 549, 1111, 454, 293, 5766, 338, 22728, 267, 22728, 28573, 12292, 267, 10326, 29838, 338, 267, 4414, 661, 26191, 10326, 29838, 267, 29838, 16514, 267, 22728, 28573, 26540, 267, 4414, 5674, 539, 10326, 454, 1607, 4605, 2982, 519, 2699, 31991, 3529, 13855, 804, 15781, 547, 513, 12667, 2699, 4477, 6625, 807, 8768, 269, 16514, 281, 12832, 15614, 1234, 639, 839, 315, 270, 289, 2117, 549, 1111, 454, 288, 2699, 31991, 3529, 13855, 554, 13903, 519, 8768, 5229, 607, 621, 4991, 4712, 547, 1118, 922, 20014, 538, 7203, 777, 1172, 328, 267, 22728, 28573, 563, 763, 5961, 1397, 519, 2699, 31991, 3529, 13855, 682, 12686, 998, 519, 2011, 267, 804, 15781, 547, 513, 12667, 2699, 4477, 6625, 807, 8768, 543, 2483, 1103, 5961, 281, 808, 18804, 2699, 31991, 3529, 20883, 540, 22728, 28573, 676, 12832, 15614, 1234, 639, 839, 910, 1855, 25393, 454, 1103, 5961, 281, 4414, 31991, 3529, 20883, 540, 22728, 28573, 676, 12832, 15614, 1234, 639, 839, 563, 16446, 31991, 3529, 13855, 16514, 281, 12832, 15614, 1234, 639, 839, 20324, 2117, 549, 1111, 454, 16446, 31991, 3529, 20883, 1923, 22728, 28573, 454, 414, 507, 353, 16446, 292, 26191, 10326, 29838, 414, 507, 353, 454, 22437, 2581, 667, 691, 29838, 769, 589, 19067, 454, 1805, 3863, 9440, 7313, 2581, 267, 9791, 8614, 753, 267, 7313, 2581, 667, 691, 29838, 338, 267, 8614, 753, 7313, 2581, 454, 23325, 8614, 753, 7313, 2581, 667, 691, 29838, 676, 670, 8932, 590, 578, 548, 593, 476, 4335, 29210, 269, 901, 6263, 13855, 568, 849, 1634, 607, 519, 12450, 9440, 8914, 15561, 13855, 269, 634, 4079, 616, 1063, 476, 273, 543, 476, 273, 269, 276, 4699, 1279, 630, 274, 270, 275, 268, 272, 10759, 1040, 634, 9038, 616, 1360, 16857, 543, 29862, 621, 21108, 621, 689, 824, 20282, 610, 10912, 9038, 267, 1875, 22249, 5338, 9038, 267, 543, 540, 1576, 8951, 267, 616, 4847, 538, 563, 1607, 6263, 13855, 568, 849, 1634, 607, 519, 12450, 9440, 8914, 15561, 13855, 269, 634, 4079, 616, 1063, 476, 273, 543, 476, 273, 269, 276, 4699, 1279, 630, 274, 270, 275, 268, 272, 10759, 1040, 634, 9038, 616, 1360, 16857, 543, 29862, 621, 21108, 621, 689, 824, 20282, 610, 10912, 9038, 267, 1875, 22249, 5338, 9038, 267, 543, 540, 1576, 8951, 267, 616, 4847, 538, 269, 1256, 1498, 621, 568, 5906, 621, 568, 32620, 563, 1607, 6263, 13855, 568, 849, 1634, 607, 519, 12450, 9440, 8914, 15561, 13855, 269, 634, 4079, 616, 1063, 476, 273, 543, 476, 273, 269, 276, 4699, 1279, 630, 274, 270, 275, 268, 272, 10759, 1916, 1607, 6263, 13855, 568, 849, 1634, 607, 519, 12450, 9440, 8914, 15561, 13855, 269, 634, 4079, 616, 1063, 476, 273, 543, 476, 273, 269, 276, 4699, 1279, 630, 274, 270, 275, 268, 272, 10759, 1040, 634, 9038, 616, 1360, 16857, 543, 29862, 621, 21108, 621, 689, 824, 20282, 610, 10912, 9038, 267, 1875, 22249, 5338, 9038, 267, 543, 540, 1576, 8951, 267, 616, 4847, 538, 269, 634, 24515, 1063, 9038, 666, 2063, 909, 547, 476, 736, 3764, 609, 519, 9038, 7555, 593, 741, 1394, 7953, 543, 32702, 9221, 547, 9221, 269, 634, 17485, 518, 568, 711, 7166, 855, 18956, 338, 689, 519, 4619, 832, 8513, 563, 1607, 6263, 13855, 568, 849, 1634, 607, 519, 12450, 9440, 8914, 15561, 13855, 563, 10908, 817, 29838, 910, 9490, 543, 4190, 2336, 9558, 8001, 29838, 267, 2696, 267, 3162, 3013, 267, 25927, 1075, 550, 16164, 267, 29055, 10960, 267, 3690, 8001, 10960, 454, 10908, 817, 325, 5766, 269, 1358, 616, 5863, 12001, 20883, 602, 616, 1336, 538, 6239, 543, 3162, 3013, 269, 1358, 616, 27248, 543, 2661, 538, 519, 3529, 24588, 267, 10355, 5887, 1005, 1970, 282, 4352, 930, 798, 1118, 741, 5321, 6251, 547, 519, 2666, 267, 2713, 538, 519, 10664, 1472, 1507, 4104, 12535, 563, 10908, 817, 13855, 910, 689, 1249, 345, 5622, 2593, 269, 1358, 616, 5863, 12001, 20883, 602, 616, 1336, 538, 6239, 543, 3162, 3013, 269, 1358, 616, 1063, 476, 274, 270, 275, 540, 606, 10759, 547, 476, 274, 6279, 1279, 543, 2661, 538, 519, 3529, 24588, 267, 10355, 5887, 1005, 1970, 269, 4256, 4064, 616, 4464, 1922, 5217, 3079, 540, 593, 519, 5011, 540, 741, 2212, 899, 1034, 3529, 20883, 563, 10908, 817, 13855, 630, 528, 19371, 325, 5766, 338, 264, 568, 519, 1455, 9706, 641, 983, 2012, 585, 519, 20883, 540, 519, 19917, 1014, 1920, 2578, 1503, 523, 13160, 630, 4650, 1323, 3120, 1040, 634, 14159, 2960, 540, 930, 2818, 540, 713, 1920, 568, 12001, 269, 634, 4835, 1471, 1356, 320, 267, 1519, 519, 2295, 267, 6797, 267, 543, 9667, 8778, 616, 7298, 998, 713, 6037, 1075, 550, 2960, 563, 10908, 817, 325, 5766, 269, 1358, 616, 5863, 12001, 20883, 602, 616, 1336, 538, 6239, 543, 3162, 3013, 269, 1358, 616, 27248, 543, 2661, 538, 519, 3529, 24588, 454, 10908, 817, 13855, 265, 2578, 1503, 523, 13160, 910, 3690, 8001, 268, 2304, 7769, 268, 1548, 2306, 891, 2370, 23427, 1977, 20883, 865, 30642, 568, 602, 789, 723, 6037, 1075, 550, 2960, 267, 799, 10416, 2306, 873, 513, 2713, 14169, 3992, 1510, 1256, 2348, 547, 2759, 1930, 519, 13855, 256, 11569, 267, 930, 540, 741, 4835, 8219, 971, 607, 519, 2295, 267, 24026, 543, 6797, 616, 9985, 7298, 950, 596, 1413, 693, 519, 13855, 779, 9207, 728, 269, 1358, 616, 5702, 1644, 543, 13789, 13974, 547, 519, 1732, 1634, 3529, 20883, 563, 4407, 741, 1024, 541, 531, 2681, 568, 3039, 15828, 830, 3039, 899, 1034, 20883, 269, 634, 14159, 2427, 568, 12001, 269, 634, 18378, 8219, 267, 543, 12884, 842, 652, 1014, 331, 8778, 616, 7298, 998, 519, 2960, 269, 3689, 4362, 538, 476, 6942, 273, 267, 789, 941, 1101, 5116, 609, 3529, 20883, 538, 519, 25281, 5754, 7578, 269, 898, 7012, 1405, 2394, 476, 4198, 272, 602, 519, 1920, 2578, 1503, 523, 13160, 729, 2813, 269, 2334, 1920, 568, 1631, 3984, 547, 936, 476, 2004, 2249, 540, 4837, 20883, 269, 5853, 5097, 2059, 8933, 543, 12535, 538, 6239, 543, 3162, 3013, 563, 10908, 817, 325, 5766, 269, 1358, 616, 5863, 12001, 20883, 602, 616, 1336, 538, 6239, 543, 3162, 3013, 563, 763, 2578, 1503, 523, 13160, 1920, 540, 4837, 20883, 281, 1703, 616, 4867, 811, 982, 513, 4627, 2249, 540, 891, 12001, 20883, 602, 616, 1336, 998, 6239, 3013, 1299, 3162, 3013, 269, 5445, 616, 27248, 1299, 2661, 538, 519, 3529, 24588, 267, 10355, 5887, 1005, 1970, 610, 2713, 538, 519, 10664, 1472, 1507, 4104, 12535, 269, 7197, 540, 519, 15013, 689, 713, 1920, 616, 1769, 3039, 609, 1507, 5835, 267, 19009, 267, 18872, 610, 4544, 9634, 7868, 20883, 3335, 2039, 538, 2450, 689, 476, 736, 547, 476, 1789, 6515, 855, 930, 630, 324, 3052, 5861, 550, 1503, 2940, 2520, 1188, 334, 728, 636, 264, 18943, 3677, 7306, 563, 10908, 817, 325, 5766, 910, 8614, 327, 990, 1695, 568, 513, 8748, 2696, 2336, 8649, 7571, 14175, 10809, 267, 14175, 10809, 12292, 267, 14175, 10809, 27837, 267, 10326, 6363, 5766, 267, 12292, 29838, 338, 267, 29510, 10960, 267, 4414, 661, 26191, 10326, 29838, 338, 267, 14175, 10809, 29838, 454, 307, 7211, 31140, 616, 1753, 547, 811, 982, 3368, 519, 1158, 781, 2030, 543, 3662, 2249, 267, 1519, 713, 2699, 31991, 3529, 13855, 563, 16446, 7232, 26191, 10326, 29838, 689, 519, 8835, 14175, 10809, 269, 15012, 538, 519, 594, 11146, 8835, 10432, 16873, 693, 22986, 637, 26443, 4732, 5652, 2593, 454, 25519, 1632, 901, 281, 834, 296, 3513, 2490, 621, 1055, 693, 519, 1985, 5010, 2736, 267, 594, 2220, 792, 10590, 630, 16446, 7232, 26191, 10326, 29838, 689, 519, 8835, 14175, 10809, 8094, 29728, 13855, 269, 5080, 29418, 835, 540, 519, 16595, 3395, 13155, 3662, 2249, 563, 16446, 7232, 26191, 10326, 29838, 630, 13070, 3315, 1013, 529, 11910, 573, 787, 553, 264, 689, 519, 8835, 14175, 10809, 563, 16446, 7232, 26191, 10326, 29838, 689, 519, 8835, 14175, 10809, 1862, 1692, 11298, 596, 798, 11631, 888, 339, 7211, 22986, 2831, 5961, 910, 5616, 9612, 454, 16446, 7232, 26191, 10326, 29838, 689, 519, 8835, 14175, 10809, 563, 2419, 659, 15351, 14589, 344, 24564, 13855, 563, 21698, 6363, 5766, 267, 12292, 29838, 338, 267, 29838, 338, 700, 23275, 267, 10326, 29838, 338, 267, 29838, 338, 570, 4669, 956, 267, 2549, 874, 756, 2103, 1234, 696, 3796, 454, 310, 25404, 3933, 4486, 10326, 29838, 9625, 1358, 13021, 538, 7509, 676, 4758, 2933, 513, 6299, 6658, 609, 513, 14589, 344, 6219, 9658, 1540, 998, 2960, 15374, 1548, 5455, 2336, 21698, 29838, 1315, 901, 2370, 3364, 267, 2306, 782, 602, 6846, 563, 302, 16936, 594, 1589, 594, 1616, 835, 256, 8206, 256, 654, 25404, 3933, 4486, 10326, 29838, 454, 4456, 15771, 29368, 8656, 20883, 267, 547, 6758, 267, 1007, 1206, 267, 2892, 600, 32752, 454, 310, 25404, 3933, 4486, 10326, 29838, 9625, 1215, 3579, 568, 8946, 2969, 2336, 310, 25404, 3933, 4486, 10326, 29838, 11981, 3294, 454, 310, 25404, 3933, 4486, 10326, 29838, 256, 594, 2648, 873, 2336, 310, 25404, 3933, 4486, 10326, 29838, 454, 293, 5766, 590, 267, 10326, 29838, 338, 267, 29055, 10960, 267, 8835, 22447, 267, 29838, 338, 570, 4669, 956, 267, 1234, 696, 3796, 2549, 874, 756, 2103, 454, 8649, 5074, 8835, 22447, 29838, 630, 9199, 16408, 21306, 639, 18300, 881, 339, 3700, 1040, 8835, 22447, 29838, 338, 616, 849, 1634, 607, 17030, 13642, 31991, 10326, 29838, 338, 610, 9791, 22447, 29838, 338, 269, 634, 2012, 968, 300, 20488, 29838, 892, 4016, 547, 519, 20715, 267, 3043, 21131, 713, 13855, 949, 694, 4740, 950, 12219, 269, 901, 2249, 568, 1034, 3742, 693, 3781, 543, 568, 1634, 585, 922, 10978, 13047, 3074, 269, 4438, 519, 1554, 789, 3207, 538, 519, 10664, 1164, 1657, 12535, 563, 9199, 16408, 21306, 639, 18300, 881, 339, 3700, 910, 17030, 13642, 16685, 10326, 29838, 610, 8835, 22447, 29838, 1358, 608, 4740, 513, 5144, 344, 899, 6219, 950, 14129, 543, 1332, 547, 581, 476, 275, 6279, 1279, 543, 1152, 6960, 610, 15454, 269, 4236, 32596, 616, 811, 10477, 563, 763, 8835, 22447, 29838, 630, 9199, 16408, 21306, 639, 18300, 881, 339, 3700, 264, 568, 513, 1804, 2249, 540, 818, 321, 648, 531, 13855, 5065, 547, 519, 8835, 14175, 10809, 538, 3162, 3013, 269, 898, 568, 3006, 5219, 547, 607, 519, 4544, 5144, 13855, 269, 898, 729, 1101, 4362, 2059, 519, 3057, 659, 534, 13168, 5211, 538, 8478, 563, 8649, 5074, 8835, 22447, 29838, 630, 9199, 16408, 21306, 639, 18300, 881, 339, 3700, 1040, 11146, 1010, 3170, 17987, 563, 8649, 5074, 8835, 22447, 29838, 630, 9199, 16408, 21306, 639, 18300, 881, 339, 3700, 1040, 4586, 517, 576, 538, 513, 4544, 13855, 454, 8649, 7571, 22447, 29838, 563, 6124, 1272, 910, 589, 1804, 804, 8553, 540, 2699, 31991, 3529, 13855, 267, 5798, 1350, 4240, 547, 519, 9207, 728, 540, 3762, 910, 24861, 267, 16907, 549, 12548, 6816, 9736, 4168, 2098, 20672, 2401, 1315, 25405, 7534, 22013, 574, 2632, 2593, 454, 16675, 10960, 267, 7822, 5682, 267, 29838, 21150, 787, 334, 267, 29838, 9040, 625, 267, 12551, 28096, 454, 257, 1692, 5084, 3036, 21764, 10590, 18248, 293, 5766, 1767, 602, 713, 729, 519, 12137, 652, 4816, 13855, 2673, 13522, 646, 9364, 2479, 2938, 269, 1261, 781, 1318, 1862, 16269, 6157, 616, 29593, 1782, 256, 4414, 31991, 3529, 13855, 630, 13070, 3315, 1013, 529, 1289, 611, 787, 553, 264, 5798, 2185, 2395, 1310, 1373, 9788, 269, 7353, 8319, 1117, 676, 4168, 2098, 20672, 2401, 454, 331, 913, 2275, 5971, 3620, 600, 7146, 8584, 17898, 3019, 281, 968, 522, 1506, 324, 1695, 16467, 11365, 321, 5735, 281, 968, 22478, 281, 2699, 2363, 539, 3529, 13855, 24201, 8729, 547, 519, 23914, 4064, 540, 586, 3133, 1807, 328, 9232, 5084, 3036, 21764, 9232, 454, 1042, 2363, 539, 3529, 13855, 24201, 568, 713, 9277, 547, 581, 20036, 286, 2483, 16446, 661, 26191, 10326, 29838, 28096, 269, 9050, 17963, 2991, 9861, 700, 4660, 563, 1042, 2363, 539, 3529, 13855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5804, 519, 942, 519, 6239, 7414, 14593, 519, 3690, 11666, 1581, 21805, 998, 11412, 334, 538, 476, 5908, 279, 519, 13475, 20312, 624, 539, 519, 2749, 5087, 543, 5045, 563, 1607, 2070, 540, 519, 7532, 2427, 540, 519, 25876, 6390, 19866, 10588, 2882, 513, 3575, 540, 13524, 10601, 3889, 7132, 930, 2413, 23937, 563, 23991, 16654, 5178, 4302, 6980, 616, 6039, 3232, 693, 519, 654, 4883, 655, 340, 17433, 23392, 1299, 4446, 267, 18799, 676, 7812, 22118, 928, 9986, 3570, 538, 713, 476, 1220, 279, 8523, 563, 763, 14460, 1984, 5656, 538, 570, 9567, 517, 4266, 689, 476, 6245, 273, 269, 634, 1292, 2679, 24428, 513, 3440, 1984, 1031, 547, 1184, 512, 32500, 607, 1134, 607, 10475, 8407, 563, 1103, 2038, 11673, 540, 519, 11507, 547, 519, 1977, 7178, 267, 519, 7823, 10596, 941, 5219, 547, 607, 968, 326, 919, 1848, 769, 476, 6977, 280, 519, 936, 1633, 3942, 3710, 519, 1101, 5664, 22017, 13749, 547, 1683, 513, 1964, 3247, 585, 519, 18213, 543, 26708, 3515, 15385, 519, 1858, 563, 12850, 267, 27230, 4229, 267, 543, 20296, 2242, 5916, 547, 1106, 2274, 327, 2006, 595, 2314, 936, 519, 27453, 269, 26419, 513, 2582, 13946, 267, 2274, 327, 2006, 595, 2314, 568, 4092, 1369, 4279, 19438, 2817, 5244, 538, 9456, 21600, 711, 2484, 689, 519, 18096, 8473, 269, 589, 4190, 14680, 13946, 609, 10578, 21272, 267, 2274, 327, 2006, 595, 2314, 568, 1634, 585, 922, 4686, 13104, 21272, 563, 1103, 476, 6942, 277, 519, 5599, 8664, 540, 24156, 729, 519, 4102, 4884, 538, 6519, 25882, 6019, 269, 634, 24156, 22714, 2838, 519, 1164, 8781, 2837, 540, 23315, 585, 17819, 267, 20872, 519, 4070, 540, 519, 23315, 9065, 839, 538, 519, 4571, 476, 6942, 271, 338, 563, 12850, 729, 1101, 4547, 547, 519, 1290, 18450, 676, 2067, 20950, 543, 19401, 7404, 269, 15394, 267, 2705, 267, 676, 15489, 519, 1216, 3761, 2968, 13385, 269, 1323, 2912, 20160, 3070, 729, 6069, 281, 547, 3142, 1216, 689, 519, 15792, 6777, 2173, 3881, 2959, 1164, 909, 538, 519, 590, 1512, 6652, 2066, 519, 25169, 4141, 9503, 563, 288, 4015, 540, 4044, 762, 476, 11740, 4113, 31858, 24252, 2813, 676, 20999, 7108, 29231, 267, 513, 7548, 693, 519, 32083, 3427, 540, 4750, 1143, 693, 519, 2160, 540, 21600, 267, 11412, 334, 269, 7490, 6443, 721, 607, 649, 2951, 782, 1472, 519, 18234, 3557, 538, 5691, 4641, 269, 18044, 2838, 269, 0, 763, 2920, 540, 5742, 11292, 12986, 476, 2767, 16840, 540, 12057, 267, 513, 1297, 602, 7283, 24240, 2394, 519, 21637, 2920, 540, 476, 8146, 273, 269, 634, 631, 11679, 27648, 930, 476, 278, 260, 540, 519, 15376, 540, 519, 5600, 540, 12780, 267, 513, 6871, 799, 538, 476, 14631, 277, 729, 10199, 2147, 547, 519, 8167, 540, 519, 2551, 540, 4789, 543, 12986, 563, 15862, 281, 634, 670, 11817, 540, 12057, 538, 31689, 267, 5507, 267, 476, 3422, 280, 630, 289, 6195, 994, 1103, 519, 10315, 14218, 4293, 267, 519, 8917, 729, 642, 6479, 538, 1863, 6868, 26539, 2244, 4502, 11278, 273, 513, 1032, 282, 538, 519, 18664, 965, 338, 621, 729, 519, 3276, 326, 612, 525, 945, 941, 3622, 519, 17037, 269, 5637, 519, 10315, 543, 18664, 965, 1949, 941, 1930, 547, 12879, 676, 15354, 3885, 563, 2467, 941, 1906, 9758, 1863, 6868, 543, 1034, 10315, 17037, 941, 679, 325, 13361, 2213, 998, 682, 1162, 11292, 547, 873, 676, 741, 28867, 3581, 269, 20290, 782, 18664, 965, 338, 941, 6417, 676, 10040, 5411, 543, 621, 568, 789, 945, 4956, 945, 2968, 3276, 326, 612, 525, 563, 763, 1062, 538, 12986, 729, 1447, 18348, 982, 621, 729, 538, 1454, 540, 4789, 269, 1703, 941, 1100, 4625, 4232, 1084, 18664, 965, 338, 267, 7864, 10034, 609, 1100, 6041, 693, 782, 267, 543, 519, 8635, 1063, 519, 17521, 729, 711, 607, 1025, 520, 656, 563, 32701, 267, 609, 13359, 513, 1857, 957, 267, 1447, 982, 476, 276, 260, 540, 2937, 9038, 679, 325, 13361, 2213, 267, 536, 686, 25053, 19856, 656, 543, 10040, 5411, 12303, 519, 1152, 2724, 539, 1362, 267, 28867, 867, 17282, 540, 519, 21146, 1184, 729, 17149, 563, 3528, 519, 3735, 476, 1240, 628, 2540, 267, 513, 9395, 1895, 540, 930, 476, 736, 3885, 6417, 519, 25931, 6041, 540, 12986, 269, 898, 729, 3622, 4956, 711, 676, 519, 16213, 540, 16018, 267, 855, 676, 4357, 12417, 799, 24458, 519, 11944, 540, 513, 2582, 796, 641, 12723, 11134, 269, 769, 519, 2489, 9550, 540, 476, 8146, 271, 267, 585, 1383, 267, 711, 835, 540, 519, 21730, 14218, 4293, 729, 29653, 563, 763, 20297, 540, 2797, 9097, 1143, 454, 300, 573, 476, 1240, 628, 2540, 12986, 3177, 15792, 2963, 540, 7347, 2442, 1719, 538, 2797, 1249, 687, 855, 2370, 6161, 585, 2797, 3741, 563, 2467, 941, 930, 13489, 337, 902, 1282, 519, 1977, 2782, 540, 14412, 267, 543, 811, 607, 513, 1267, 540, 519, 3943, 7169, 269, 769, 519, 476, 9692, 271, 338, 9097, 29625, 941, 17947, 676, 513, 6263, 12102, 267, 1034, 540, 7247, 941, 6537, 689, 519, 11309, 4115, 13617, 540, 6348, 935, 845, 640, 563, 30025, 1065, 1833, 267, 24027, 609, 3909, 14603, 1143, 267, 14944, 1441, 519, 3646, 540, 519, 18119, 267, 855, 519, 991, 585, 6963, 759, 584, 325, 3166, 998, 14786, 971, 607, 519, 4210, 534, 22855, 18095, 6929, 630, 11398, 539, 538, 476, 5197, 275, 264, 543, 930, 21730, 25082, 1974, 25025, 267, 12326, 799, 3459, 547, 10880, 5072, 538, 519, 476, 9264, 271, 338, 563, 763, 2924, 540, 6348, 935, 845, 1235, 3138, 15701, 1804, 538, 971, 12326, 267, 606, 3390, 799, 8209, 13934, 1699, 2797, 7006, 839, 725, 269, 2311, 519, 1482, 942, 267, 519, 4853, 1235, 267, 3222, 540, 741, 9295, 547, 519, 4346, 267, 941, 5051, 5423, 547, 4323, 519, 1379, 540, 519, 2244, 14935, 563, 5475, 1454, 1543, 542, 267, 519, 21637, 2920, 540, 476, 8146, 273, 729, 17956, 269, 898, 729, 513, 1360, 16434, 2268, 799, 2799, 519, 8167, 540, 519, 2937, 5256, 2551, 2348, 519, 1318, 547, 8917, 689, 827, 476, 276, 260, 547, 476, 279, 18336, 21132, 4644, 2482, 538, 519, 1249, 602, 621, 10268, 519, 18515, 540, 519, 3703, 15194, 1362, 547, 6963, 3294, 267, 513, 1900, 799, 24458, 513, 1875, 3146, 23728, 776, 952, 17890, 543, 30223, 2619, 547, 9111, 269, 634, 957, 5795, 12986, 2947, 3606, 631, 11679, 269, 898, 849, 7787, 2213, 519, 18664, 965, 29929, 543, 5795, 519, 8917, 547, 5256, 10315, 17743, 619, 9878, 693, 2547, 11278, 2004, 513, 1032, 538, 10519, 563, 10702, 6963, 3800, 454, 1103, 476, 5908, 278, 519, 20271, 2510, 896, 2598, 5361, 328, 17956, 513, 2034, 6963, 957, 799, 5795, 519, 8917, 547, 782, 5256, 2557, 335, 16558, 538, 18664, 965, 14218, 4293, 269, 769, 476, 6942, 272, 519, 5728, 3440, 582, 729, 5189, 267, 14356, 1317, 540, 519, 20655, 11124, 676, 27565, 8686, 7627, 21730, 4557, 1218, 693, 519, 3946, 540, 741, 20271, 894, 2244, 14935, 269, 769, 476, 6642, 275, 519, 8644, 5644, 17956, 513, 3791, 6963, 957, 799, 5795, 10315, 17037, 519, 2924, 2907, 22234, 676, 18664, 965, 17743, 619, 563, 1103, 519, 1739, 1032, 267, 519, 4414, 626, 9084, 2920, 2799, 519, 1297, 540, 4683, 543, 4853, 16295, 693, 519, 13258, 540, 6917, 17521, 543, 1507, 2344, 10034, 269, 1306, 513, 1267, 12986, 1185, 476, 4097, 631, 11679, 281, 476, 1321, 585, 519, 5087, 267, 476, 1691, 585, 3794, 600, 6716, 543, 3933, 17625, 28790, 267, 543, 5216, 585, 519, 1964, 540, 5045, 12986, 563, 1103, 476, 4489, 279, 782, 2367, 936, 476, 2641, 267, 609, 519, 9868, 540, 931, 2615, 1190, 1843, 832, 267, 941, 11292, 519, 8917, 267, 513, 1318, 849, 6905, 547, 2021, 936, 476, 1789, 269, 769, 476, 4572, 279, 2021, 5833, 519, 29929, 593, 519, 1482, 2474, 607, 2367, 269, 769, 476, 3707, 279, 519, 1318, 547, 723, 811, 982, 835, 8917, 910, 998, 26539, 1870, 3959, 610, 998, 2348, 513, 6280, 4110, 910, 729, 27618, 563, 763, 2489, 9550, 540, 476, 4198, 271, 729, 267, 4061, 267, 519, 1101, 5963, 11180, 9550, 538, 3703, 1686, 269, 22640, 849, 3357, 547, 2199, 2229, 267, 538, 1880, 998, 519, 6019, 6076, 15078, 2920, 540, 476, 6642, 279, 543, 519, 10661, 540, 11221, 8664, 543, 25110, 5646, 15078, 538, 476, 6245, 275, 563, 27087, 538, 519, 2470, 540, 25931, 6041, 454, 1103, 519, 476, 6977, 271, 338, 12303, 782, 21730, 631, 11679, 941, 6537, 689, 519, 28867, 867, 1362, 282, 676, 476, 5002, 277, 15991, 513, 2582, 28867, 867, 12463, 729, 11221, 269, 769, 713, 1689, 267, 519, 1883, 12836, 941, 1346, 540, 476, 5908, 279, 543, 476, 6642, 276, 563, 763, 9550, 540, 476, 5908, 279, 4718, 519, 10565, 11802, 540, 8361, 9400, 693, 8585, 628, 10455, 14977, 4206, 559, 543, 519, 14710, 540, 2818, 540, 28867, 867, 3885, 971, 607, 519, 19958, 6261, 3317, 1218, 540, 6755, 337, 1506, 333, 16836, 269, 2334, 540, 476, 6642, 276, 4718, 519, 18349, 540, 519, 8227, 540, 654, 2106, 333, 560, 599, 543, 519, 25752, 540, 13642, 717, 17311, 267, 519, 4102, 543, 519, 2034, 4102, 540, 519, 15354, 1609, 919, 540, 12986, 563, 7212, 930, 21730, 15354, 3885, 6462, 519, 1733, 580, 9549, 267, 519, 5354, 941, 570, 1559, 267, 3976, 4180, 602, 909, 547, 519, 476, 5908, 271, 338, 519, 25931, 6041, 540, 12986, 729, 15866, 540, 513, 1318, 26310, 1915, 269, 769, 476, 6642, 271, 267, 2705, 267, 12986, 8120, 1152, 2185, 20271, 894, 631, 11679, 267, 513, 1297, 799, 8593, 547, 562, 559, 538, 476, 5002, 277, 563, 763, 27565, 30566, 344, 454, 763, 1292, 18689, 10706, 540, 6963, 729, 519, 27565, 9549, 799, 13856, 21730, 6214, 689, 519, 476, 5908, 271, 338, 2394, 476, 4572, 273, 269, 634, 5428, 16309, 538, 19788, 519, 1489, 540, 513, 2647, 2039, 540, 519, 5049, 543, 1895, 902, 538, 12986, 563, 26581, 7434, 1235, 9516, 540, 922, 3609, 540, 1863, 4123, 282, 519, 3395, 3318, 1362, 31045, 922, 8561, 593, 1582, 948, 267, 607, 1705, 519, 4853, 2324, 1362, 7620, 282, 4557, 656, 6705, 3636, 539, 547, 922, 1489, 585, 2244, 6963, 282, 6348, 935, 845, 1235, 4718, 621, 607, 519, 1655, 4126, 585, 519, 771, 652, 28344, 618, 540, 519, 5939, 563, 763, 27565, 2797, 2528, 540, 3735, 476, 866, 628, 2540, 12986, 3177, 519, 4282, 585, 519, 27314, 4876, 540, 6424, 32008, 6723, 267, 1101, 11221, 547, 12057, 538, 476, 6245, 271, 607, 4759, 585, 6970, 1716, 541, 325, 517, 16907, 965, 338, 563, 3528, 519, 2038, 476, 736, 628, 2540, 267, 27565, 5389, 540, 519, 1863, 2344, 543, 540, 3908, 2229, 8604, 693, 12918, 609, 519, 3747, 585, 1514, 6963, 269, 32008, 6723, 267, 676, 17516, 2025, 2085, 533, 5014, 267, 513, 3084, 6142, 10325, 543, 519, 28142, 540, 519, 7060, 540, 519, 5600, 540, 700, 3581, 267, 16309, 538, 28093, 5224, 519, 5428, 609, 1007, 9097, 16431, 269, 634, 16548, 540, 27565, 1143, 2705, 267, 941, 3170, 958, 8697, 676, 519, 1973, 8602, 540, 2622, 2782, 2290, 563, 1607, 2985, 568, 1655, 9763, 538, 606, 909, 3562, 15082, 1357, 11422, 609, 2511, 9212, 630, 16430, 264, 13087, 269, 2755, 596, 786, 581, 2111, 547, 2070, 519, 1543, 540, 713, 2985, 538, 707, 1699, 11422, 267, 596, 786, 711, 581, 2111, 547, 1205, 519, 2407, 3308, 1995, 269, 7490, 2015, 18175, 15665, 707, 11422, 3301, 610, 7175, 2511, 9212, 630, 16430, 264, 952, 596, 616, 2111, 547, 798, 865, 269, 0, 299, 18676, 523, 2677, 329, 731, 1231, 8057, 909, 538, 4516, 543, 8678, 519, 9576, 8225, 29651, 540, 6178, 1023, 1141, 646, 6039, 607, 513, 10618, 11464, 1282, 2622, 2782, 4083, 269, 3571, 2816, 729, 547, 2482, 1524, 5911, 585, 519, 7952, 11436, 1063, 13122, 269, 1261, 6170, 942, 593, 1520, 752, 267, 4279, 23063, 7219, 6816, 543, 918, 529, 6390, 538, 519, 22176, 583, 2103, 563, 14367, 2123, 1650, 540, 2112, 538, 519, 22176, 583, 2103, 910, 543, 519, 834, 289, 4490, 585, 918, 529, 6390, 257, 4534, 568, 689, 519, 5133, 540, 513, 3943, 4211, 534, 6598, 24343, 7674, 7258, 1977, 1425, 545, 18779, 269, 12312, 1277, 334, 790, 1609, 7006, 517, 1043, 679, 21473, 9809, 9820, 513, 1380, 328, 563, 12606, 513, 2347, 13973, 540, 13198, 857, 523, 2677, 329, 731, 514, 781, 5967, 689, 5130, 267, 476, 1001, 272, 454, 12441, 1411, 5700, 888, 12901, 4602, 908, 513, 2666, 14213, 676, 519, 5545, 267, 519, 2475, 4108, 5116, 4550, 16512, 6773, 30367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18777, 353, 13644, 484, 547, 917, 2073, 547, 581, 5432, 609, 2073, 547, 5431, 454, 29072, 25335, 352, 547, 917, 2073, 547, 1174, 454, 419, 509, 354, 421, 479, 497, 547, 917, 454, 263, 272, 264, 19838, 281, 589, 281, 12916, 510, 419, 509, 354, 421, 479, 497, 18263, 510, 13213, 495, 23946, 367, 12571, 501, 5405, 509, 2710, 596, 917, 1535, 328, 795, 514, 533, 532, 888, 289, 16088, 16043, 495, 419, 509, 354, 421, 479, 497, 12486, 10524, 500, 15159, 18809, 18713, 377, 4970, 375, 27747, 511, 12486, 296, 917, 12486, 1261, 568, 519, 30626, 540, 3624, 563, 288, 16088, 12916, 510, 18777, 353, 13644, 484, 10524, 500, 12571, 501, 5405, 509, 1684, 596, 917, 1864, 286, 263, 5471, 1864, 1354, 994, 289, 16088, 16043, 495, 21251, 18777, 353, 13644, 484, 15660, 1810, 1406, 917, 1864, 563, 263, 273, 264, 19838, 589, 281, 476, 12916, 510, 18777, 353, 13644, 484, 421, 480, 352, 14748, 32512, 12571, 501, 5405, 509, 2710, 596, 917, 602, 1268, 888, 289, 16088, 16043, 495, 18777, 353, 13644, 484, 8147, 10524, 500, 15159, 19365, 269, 16043, 495, 31176, 491, 4970, 353, 14035, 358, 25335, 479, 13213, 485, 10524, 500, 12486, 8133, 267, 594, 917, 269, 1261, 568, 5261, 269, 594, 1558, 1864, 7192, 1168, 2395, 3516, 563, 288, 281, 19365, 417, 479, 504, 10524, 478, 18263, 486, 5405, 509, 12916, 510, 29072, 25335, 352, 12571, 501, 286, 1548, 568, 1010, 2816, 286, 1684, 596, 917, 7790, 263, 3104, 811, 1344, 994, 289, 281, 476, 16043, 495, 21251, 29072, 25335, 352, 8147, 16043, 495, 15159, 31006, 13213, 495, 19867, 491, 18777, 353, 13644, 484, 10524, 500, 7511, 12486, 296, 1810, 1406, 917, 1547, 296, 6785, 1864, 1152, 5063, 563, 263, 274, 264, 19838, 281, 476, 16043, 495, 23284, 31176, 491, 31308, 375, 13213, 485, 421, 480, 352, 14748, 17295, 364, 25913, 8147, 31308, 375, 421, 480, 352, 14748, 17295, 364, 25913, 7511, 420, 371, 363, 16043, 495, 18777, 353, 13644, 484, 12486, 296, 4076, 1044, 547, 602, 1747, 15660, 6785, 519, 1259, 547, 602, 1747, 563, 16043, 495, 31968, 14748, 13107, 509, 10951, 509, 25335, 479, 13213, 485, 10524, 500, 8147, 16043, 495, 18777, 353, 13644, 484, 10524, 500, 8147, 23746, 15159, 16043, 495, 21251, 29072, 25335, 352, 10524, 500, 8147, 16043, 495, 21251, 419, 509, 354, 421, 479, 497, 10524, 500, 417, 500, 506, 418, 361, 351, 10524, 478, 18263, 486, 12486, 296, 1558, 1864, 2063, 3018, 267, 296, 6785, 1864, 267, 8117, 4769, 1406, 2731, 917, 1864, 15660, 4769, 1406, 917, 1018, 646, 15055, 563, 16043, 495, 18777, 353, 13644, 484, 12916, 510, 26266, 366, 14756, 493, 4970, 353, 23946, 368, 29072, 8147, 16043, 495, 29072, 25335, 352, 12916, 510, 8147, 16043, 495, 419, 509, 354, 421, 479, 497, 12916, 510, 417, 500, 506, 418, 361, 351, 10524, 478, 18263, 486, 8147, 417, 500, 506, 418, 361, 351, 12571, 481, 10524, 478, 18263, 486, 8147, 417, 500, 506, 418, 361, 351, 417, 500, 507, 10524, 478, 18263, 486, 12486, 296, 6785, 596, 585, 1079, 1296, 15660, 2731, 6785, 596, 1547, 296, 6785, 1018, 596, 899, 907, 6343, 798, 596, 899, 547, 3548, 543, 4235, 888, 3383, 18049, 2433, 968, 18777, 353, 13644, 484, 892, 18998, 2108, 29072, 25335, 352, 892, 18998, 2108, 419, 509, 354, 421, 479, 497, 892, 1341, 1268, 5236, 376, 486, 528, 1747, 264, 2108, 454, 892, 419, 509, 354, 421, 479, 497, 2108, 663, 9232, 29072, 25335, 352, 2108, 547, 1205, 519, 1344, 998, 519, 1978, 1259, 5236, 376, 490, 8117, 968, 419, 509, 354, 421, 479, 497, 892, 529, 2596, 543, 21603, 269, 1924, 968, 29072, 25335, 352, 2108, 1729, 917, 811, 543, 2620, 454, 2108, 18777, 353, 13644, 484, 892, 663, 2108, 419, 509, 354, 421, 479, 497, 2108, 616, 519, 1482, 630, 1729, 917, 2596, 543, 21603, 264, 855, 9232, 476, 18777, 353, 13644, 484, 2108, 568, 547, 917, 2047, 2073, 1848, 419, 509, 354, 421, 479, 497, 892, 529, 547, 917, 18549, 563, 2108, 29072, 25335, 352, 2108, 663, 968, 18777, 353, 13644, 484, 892, 9232, 29072, 25335, 352, 2108, 568, 547, 917, 811, 1344, 982, 968, 18777, 353, 13644, 484, 892, 476, 12486, 2108, 18777, 353, 13644, 484, 892, 568, 711, 2386, 547, 2731, 968, 29072, 25335, 352, 2108, 12486, 0, 298, 2254, 339, 781, 18361, 1280, 17164, 762, 22320, 619, 454, 291, 10735, 2904, 333, 731, 1696, 620, 454, 1607, 5929, 25156, 568, 2808, 676, 5481, 540, 5010, 25210, 607, 519, 3044, 4704, 1907, 585, 3395, 10448, 7031, 269, 674, 2683, 609, 1344, 267, 7361, 538, 519, 1106, 540, 7515, 543, 12125, 267, 689, 2182, 7194, 593, 10448, 2504, 543, 4616, 547, 4241, 1965, 582, 518, 3821, 267, 971, 607, 3543, 14410, 27386, 4408, 267, 543, 10448, 4408, 538, 8370, 4654, 563, 273, 10515, 625, 910, 835, 476, 275, 628, 9990, 267, 835, 476, 273, 526, 7160, 563, 268, 6833, 4226, 281, 476, 1960, 278, 454, 268, 6755, 518, 4226, 281, 3627, 25067, 454, 268, 9768, 268, 1015, 281, 476, 271, 5325, 13647, 14681, 273, 454, 268, 9768, 268, 1724, 281, 476, 7818, 268, 271, 5325, 15876, 279, 2764, 273, 454, 268, 1546, 28838, 27252, 281, 476, 277, 3374, 563, 268, 3131, 335, 755, 10440, 534, 661, 29558, 281, 476, 277, 3374, 269, 10790, 312, 454, 268, 3131, 335, 755, 10440, 534, 661, 29558, 5607, 281, 19113, 269, 26289, 0, 24841, 9440, 538, 22768, 267, 15930, 2443, 634, 1977, 29036, 630, 300, 573, 268, 4263, 23007, 994, 763, 7313, 1961, 1299, 15391, 5853, 787, 543, 10724, 3718, 454, 9303, 7595, 26317, 540, 12752, 769, 519, 13643, 22484, 9503, 454, 22437, 1961, 1299, 15391, 14475, 513, 21318, 540, 6191, 1519, 18434, 543, 26925, 602, 13324, 14200, 267, 2059, 609, 17684, 1790, 850, 561, 12915, 11817, 267, 16456, 12227, 267, 543, 6771, 3937, 585, 10814, 6517, 269, 4438, 2622, 2782, 594, 267, 519, 2754, 729, 20827, 547, 5478, 17189, 25044, 4410, 902, 543, 3964, 606, 993, 32099, 1568, 538, 7147, 267, 15930, 563, 1103, 476, 4350, 275, 267, 2182, 5734, 676, 519, 12870, 267, 519, 2754, 4421, 1454, 540, 922, 13464, 547, 519, 15284, 7195, 3405, 15278, 269, 1635, 519, 476, 3192, 271, 338, 267, 513, 10051, 22277, 10672, 1031, 519, 3135, 267, 543, 676, 519, 476, 1960, 271, 338, 513, 4224, 16246, 15547, 1185, 3144, 936, 519, 7372, 16245, 532, 6300, 267, 543, 5159, 1185, 3964, 513, 2146, 538, 519, 3684, 6300, 543, 1336, 787, 269, 589, 14042, 3595, 538, 476, 1960, 276, 10032, 1454, 540, 519, 13464, 269, 634, 1985, 8717, 267, 519, 3135, 729, 1065, 584, 12723, 676, 9367, 26647, 1197, 645, 4592, 269, 8278, 3380, 1299, 681, 1787, 269, 23850, 676, 16413, 932, 334, 26999, 4591, 3724, 266, 10112, 1539, 919, 267, 519, 454, 292, 5550, 539, 676, 22768, 11595, 9257, 563, 12749, 923, 269, 901, 3140, 15262, 568, 7396, 538, 713, 1888, 1592, 281, 12752, 1299, 25642, 269, 589, 1713, 3140, 1032, 585, 713, 7127, 568, 476, 4350, 275, 563, 19613, 269, 476, 4375, 4113, 476, 866, 269, 280, 1691, 12664, 715, 267, 476, 10602, 4113, 476, 4343, 269, 7597, 275, 12664, 654, 269, 4460, 518, 568, 538, 22768, 267, 15930, 269, 898, 568, 538, 8381, 9440, 269, 4460, 518, 568, 593, 1849, 23124, 5244, 10003, 269, 25291, 585, 4786, 269, 4460, 518, 568, 693, 610, 2282, 713, 2022, 531, 2232, 281, 476, 1708, 271, 1849, 23124, 5244, 10003, 267, 22768, 11022, 476, 18891, 1556, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 6972, 3845, 540, 713, 15262, 269, 589, 32288, 16146, 685, 17341, 630, 5976, 514, 22551, 532, 3845, 540, 713, 15262, 5148, 8381, 9440, 31543, 543, 5244, 7085, 630, 12671, 476, 4968, 3952, 2476, 267, 6027, 538, 513, 1463, 1899, 5148, 19866, 8381, 9440, 630, 12671, 476, 6110, 3952, 2476, 5148, 28927, 578, 7085, 630, 12671, 476, 7785, 3952, 2476, 5148, 5213, 4486, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 5148, 8080, 547, 31919, 11076, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 5148, 2997, 1014, 5689, 7559, 281, 589, 9046, 609, 513, 27505, 1359, 8827, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 5148, 5221, 32463, 616, 5017, 267, 789, 1590, 9742, 593, 2244, 269, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 22768, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4989, 476, 1704, 267, 476, 1708, 271, 269, 898, 729, 8385, 11643, 593, 5181, 476, 1626, 267, 476, 1001, 280, 267, 676, 5213, 5651, 10623, 540, 22768, 267, 15930, 269, 901, 2985, 814, 1044, 9763, 476, 3192, 2053, 2094, 1287, 543, 476, 2537, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 267, 476, 274, 269, 11643, 593, 5181, 476, 1626, 267, 476, 1001, 280, 267, 676, 5213, 5651, 10623, 540, 22768, 267, 15930, 269, 3040, 9291, 26172, 532, 22978, 729, 519, 9375, 945, 3370, 713, 2985, 269, 0, 8505, 23865, 5027, 4152, 568, 513, 3407, 4199, 585, 5444, 11530, 1235, 5275, 547, 7753, 2487, 15839, 6821, 538, 741, 1920, 1686, 267, 3226, 538, 8320, 1141, 2757, 3140, 1382, 568, 3908, 610, 796, 822, 9430, 269, 2311, 22684, 10326, 2637, 7002, 690, 1235, 267, 649, 4749, 946, 1313, 23865, 5027, 1449, 2164, 547, 2626, 2055, 3823, 10073, 267, 7164, 533, 24471, 267, 610, 2352, 547, 10250, 11937, 269, 1677, 1451, 811, 827, 1313, 23865, 5027, 4152, 1294, 938, 3105, 5816, 2022, 593, 519, 9238, 563, 17484, 690, 18081, 568, 519, 2688, 540, 2261, 11538, 1152, 1369, 519, 7182, 540, 513, 2199, 2146, 267, 28334, 267, 610, 14316, 936, 519, 1576, 540, 1082, 5481, 269, 634, 4128, 585, 713, 4719, 10072, 1223, 581, 2686, 610, 3909, 630, 553, 609, 12891, 5287, 21532, 7642, 543, 8899, 8566, 9007, 631, 3317, 517, 2572, 264, 610, 13664, 630, 553, 609, 6532, 543, 17174, 5095, 1040, 16840, 540, 1439, 690, 13904, 5095, 949, 13956, 689, 513, 3908, 7535, 540, 968, 325, 10133, 892, 11937, 945, 6719, 519, 3355, 4719, 17539, 540, 741, 2551, 269, 2991, 1082, 5481, 543, 7366, 540, 1296, 540, 10072, 689, 3544, 7895, 580, 4181, 267, 1313, 23865, 5027, 12508, 27721, 1369, 1439, 690, 13904, 5095, 269, 1306, 513, 1267, 267, 4719, 12632, 540, 2551, 2818, 666, 3362, 581, 13747, 689, 519, 5027, 540, 3544, 5095, 563, 303, 539, 580, 872, 12900, 4386, 950, 1079, 1644, 2043, 3132, 15556, 269, 1306, 513, 1267, 267, 519, 1297, 540, 2189, 2043, 30939, 6753, 538, 513, 7895, 580, 872, 11081, 610, 2458, 22663, 269, 24641, 1034, 1004, 723, 5216, 2189, 1390, 3766, 8681, 18499, 267, 513, 1126, 540, 1079, 1101, 30980, 786, 1152, 723, 3670, 2189, 1390, 3766, 8681, 18499, 269, 1358, 786, 849, 723, 15110, 513, 3677, 6712, 540, 741, 5027, 689, 519, 11937, 4371, 538, 1455, 1063, 741, 3237, 269, 9282, 513, 1644, 1523, 267, 7895, 580, 872, 12900, 568, 711, 519, 1482, 607, 1439, 690, 18081, 269, 1717, 267, 2487, 2665, 540, 7895, 580, 872, 12900, 538, 606, 1367, 779, 3529, 543, 1279, 2165, 1439, 690, 18081, 666, 723, 2147, 2360, 593, 5027, 18472, 269, 1879, 13736, 936, 2789, 5481, 543, 936, 519, 1576, 540, 1896, 4627, 1296, 267, 4797, 7895, 580, 872, 12900, 666, 1291, 547, 1439, 690, 18081, 563, 2026, 513, 1267, 540, 1439, 690, 18081, 267, 2043, 689, 519, 1482, 2551, 786, 4749, 2671, 2789, 11937, 538, 1455, 609, 1142, 824, 269, 1358, 849, 949, 13956, 689, 519, 1482, 18577, 7008, 2789, 2053, 267, 799, 666, 7494, 635, 12393, 1313, 23865, 5027, 2079, 269, 769, 835, 540, 938, 1382, 2665, 267, 649, 1336, 602, 606, 1367, 26731, 476, 1321, 1114, 2053, 689, 519, 1482, 18577, 7008, 945, 5030, 538, 519, 3735, 476, 8182, 271, 338, 538, 3943, 4516, 269, 4014, 789, 941, 3833, 11397, 11937, 538, 1169, 2013, 630, 5976, 514, 519, 2039, 540, 476, 280, 628, 268, 1556, 628, 1390, 22594, 1070, 646, 1185, 15110, 513, 19018, 622, 2179, 540, 5027, 689, 873, 1813, 547, 741, 5230, 6041, 1369, 1010, 1920, 3529, 563, 1103, 713, 543, 513, 2104, 5816, 2022, 267, 649, 786, 2263, 1079, 10569, 585, 7231, 609, 1439, 690, 18081, 538, 1313, 23865, 5027, 1449, 2164, 281, 476, 272, 264, 10289, 519, 3169, 5666, 540, 3838, 5027, 1063, 14077, 282, 543, 476, 273, 264, 13281, 2789, 14077, 269, 769, 713, 2022, 649, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 729, 741, 3656, 1318, 563, 288, 2048, 9418, 685, 4346, 269, 3502, 513, 4264, 835, 267, 855, 513, 2048, 9418, 685, 835, 269, 9861, 2048, 1721, 331, 1941, 685, 263, 338, 611, 267, 27945, 1070, 855, 1373, 1252, 3585, 2016, 519, 3656, 1318, 547, 3180, 856, 4126, 585, 476, 1626, 1296, 563, 288, 4011, 580, 1149, 941, 11292, 2244, 538, 519, 8832, 24540, 538, 476, 3192, 277, 543, 3162, 5245, 538, 476, 2735, 272, 269, 7111, 2140, 267, 538, 5375, 5245, 543, 11992, 267, 814, 1044, 2139, 585, 3409, 2094, 476, 1960, 274, 563, 19808, 2391, 602, 476, 272, 264, 7111, 7170, 814, 1044, 513, 1483, 3070, 585, 3689, 8315, 4658, 267, 543, 476, 273, 264, 602, 519, 1184, 540, 19101, 814, 1044, 11884, 3015, 543, 24276, 269, 2201, 519, 14669, 621, 814, 1044, 2484, 689, 513, 9758, 3070, 543, 9808, 9853, 609, 9465, 267, 711, 519, 2547, 3361, 676, 3105, 7142, 5110, 1023, 543, 882, 23148, 540, 3689, 8315, 24447, 563, 1103, 476, 736, 1296, 267, 26146, 267, 14408, 267, 543, 519, 24540, 949, 1413, 899, 24368, 267, 609, 3677, 267, 17528, 267, 2806, 10594, 710, 2950, 563, 763, 3463, 540, 513, 29083, 19493, 6433, 547, 1394, 909, 1010, 968, 338, 1828, 892, 540, 630, 9767, 31665, 621, 264, 811, 7142, 5110, 1023, 563, 763, 3992, 568, 711, 1152, 602, 1121, 4925, 616, 7543, 547, 3028, 2676, 7343, 30068, 693, 713, 3942, 540, 1010, 4661, 646, 7959, 646, 814, 18113, 3254, 602, 6552, 2950, 616, 968, 11069, 6372, 547, 3028, 9731, 8117, 849, 602, 17604, 1759, 593, 5198, 568, 513, 31169, 563, 11039, 621, 1131, 581, 513, 3880, 562, 7572, 766, 547, 519, 2244, 3766, 4599, 1499, 594, 914, 267, 602, 575, 9655, 1673, 7568, 14017, 3364, 563, 263, 8624, 517, 23924, 666, 1406, 3028, 519, 2950, 27331, 23966, 264, 1317, 540, 519, 5821, 540, 519, 2950, 547, 581, 10257, 543, 2661, 899, 519, 28164, 267, 10691, 1317, 540, 519, 5821, 540, 519, 28164, 547, 2463, 267, 5968, 267, 14097, 543, 9305, 8094, 8310, 13628, 729, 2817, 19171, 519, 29361, 1554, 269, 634, 5859, 3357, 609, 513, 835, 2000, 10719, 2433, 968, 5141, 846, 519, 7934, 267, 711, 2950, 6100, 29361, 4303, 26082, 519, 5066, 1289, 540, 19364, 2839, 8016, 267, 12833, 5235, 4303, 267, 590, 13446, 4303, 267, 26532, 16624, 10432, 267, 543, 1100, 8969, 267, 538, 942, 267, 23779, 4303, 267, 607, 3255, 585, 519, 16971, 2872, 547, 17684, 519, 27710, 9707, 585, 10519, 563, 5278, 6011, 519, 2027, 2395, 540, 3689, 8315, 4658, 543, 1346, 945, 6999, 547, 9305, 538, 2635, 2081, 609, 873, 267, 616, 2508, 20333, 619, 585, 3689, 8315, 4658, 543, 741, 18793, 286, 901, 568, 1175, 28457, 748, 14084, 733, 3319, 563, 298, 1009, 344, 26436, 543, 631, 1157, 6153, 320, 267, 3084, 13384, 832, 540, 29361, 4303, 267, 24016, 519, 26146, 543, 8549, 6608, 547, 968, 4910, 1051, 938, 1004, 779, 4276, 609, 3338, 9731, 3719, 26436, 543, 6153, 320, 1590, 581, 3222, 602, 519, 7934, 3112, 2673, 1247, 2806, 10594, 1149, 2661, 513, 6197, 602, 28746, 873, 563, 1103, 713, 4845, 8592, 5705, 569, 934, 4926, 3689, 8315, 24447, 540, 7446, 547, 2661, 538, 971, 513, 1259, 602, 568, 1582, 3620, 9879, 269, 6423, 875, 519, 16620, 568, 17146, 286, 634, 6909, 6043, 540, 3689, 8315, 4658, 607, 513, 2898, 538, 17005, 519, 7372, 3646, 547, 6146, 873, 1055, 568, 10423, 10876, 269, 634, 2790, 4576, 602, 568, 11124, 676, 1082, 1004, 568, 711, 519, 1267, 540, 3689, 8315, 8836, 23535, 7190, 855, 519, 1267, 540, 29287, 267, 27337, 881, 8194, 1102, 21719, 593, 513, 4336, 602, 568, 7210, 2287, 1256, 547, 2119, 547, 1174, 910, 676, 519, 3935, 2358, 2486, 563, 288, 14094, 2103, 616, 535, 8962, 543, 8338, 547, 11716, 713, 563, 303, 3233, 17399, 656, 2634, 13195, 1117, 2551, 1810, 1406, 1616, 547, 1745, 1022, 811, 29749, 1310, 2921, 1753, 741, 6263, 2628, 17142, 543, 1025, 5446, 2933, 585, 711, 12721, 2182, 2614, 538, 519, 19458, 267, 1247, 717, 2088, 1274, 985, 1269, 6812, 280, 829, 2034, 27401, 3767, 646, 568, 1025, 5446, 1010, 3988, 1222, 952, 789, 10990, 609, 519, 21393, 2336, 2252, 596, 1589, 621, 568, 1932, 1019, 21966, 673, 547, 581, 3020, 267, 602, 513, 2898, 4182, 630, 2865, 569, 264, 540, 21230, 10995, 1004, 666, 581, 2634, 13195, 1117, 1510, 5061, 630, 1721, 1326, 519, 21973, 538, 519, 1216, 1070, 1175, 676, 8613, 543, 14786, 1373, 11262, 676, 513, 14547, 1906, 2807, 8145, 1897, 5125, 476, 3583, 1296, 3516, 269, 3778, 6645, 721, 602, 621, 666, 979, 1256, 2417, 982, 621, 814, 865, 2484, 269, 1403, 1004, 798, 711, 26595, 543, 1796, 909, 543, 798, 741, 1378, 1382, 543, 3717, 909, 543, 957, 593, 15773, 540, 741, 5168, 267, 7881, 267, 3972, 532, 602, 789, 616, 711, 8209, 811, 29749, 982, 519, 2229, 563, 2304, 4081, 8284, 2951, 2401, 540, 519, 5859, 5206, 281, 968, 2005, 779, 7184, 18086, 585, 519, 11788, 10579, 547, 2303, 602, 2713, 538, 513, 6552, 6805, 2146, 568, 3274, 835, 4781, 1851, 1866, 6100, 1403, 621, 568, 855, 835, 4781, 267, 13140, 948, 873, 563, 2080, 519, 5856, 630, 3104, 5944, 610, 26968, 5944, 264, 31495, 2181, 1206, 519, 1268, 779, 6085, 269, 634, 1268, 1705, 711, 2161, 968, 21671, 4781, 892, 855, 568, 17548, 602, 519, 6753, 540, 13067, 601, 1343, 616, 7184, 267, 32375, 6209, 543, 711, 20049, 762, 585, 824, 4351, 6753, 585, 1346, 945, 2661, 972, 563, 29909, 1169, 16971, 22557, 17367, 814, 1044, 25552, 676, 1614, 3681, 281, 2261, 11538, 856, 267, 9194, 543, 2069, 563, 9989, 646, 3277, 547, 519, 5692, 3506, 1141, 1453, 941, 3144, 1310, 1373, 21687, 689, 741, 3885, 286, 6496, 646, 3277, 547, 519, 22149, 540, 16971, 2021, 676, 3935, 2358, 2367, 286, 6496, 646, 3277, 547, 3105, 5110, 1023, 286, 2107, 568, 646, 1175, 6158, 827, 1346, 945, 723, 1185, 513, 968, 321, 1652, 539, 892, 2039, 540, 1272, 5079, 286, 1772, 646, 13389, 22557, 15161, 543, 6031, 789, 616, 1447, 2111, 547, 3717, 585, 741, 1004, 888, 10376, 568, 519, 1587, 540, 606, 2806, 10594, 710, 543, 513, 1875, 5025, 4011, 580, 710, 269, 1358, 723, 711, 267, 610, 711, 585, 1034, 540, 741, 2729, 267, 5030, 593, 741, 968, 12248, 787, 892, 543, 789, 723, 1044, 1134, 13473, 563, 3383, 1631, 519, 22557, 15161, 616, 968, 335, 20094, 892, 1107, 320, 632, 16058, 2358, 2165, 563, 2005, 5526, 1934, 602, 8592, 568, 14962, 532, 519, 22557, 15161, 779, 1913, 1317, 789, 723, 1044, 998, 2069, 543, 5924, 6170, 942, 1055, 2197, 563, 3891, 814, 849, 7307, 547, 17538, 602, 2348, 513, 6348, 3689, 8315, 9977, 543, 513, 3689, 8315, 3237, 23380, 919, 835, 779, 7326, 269, 8592, 949, 849, 1589, 630, 528, 3409, 264, 602, 646, 568, 711, 22457, 563, 2467, 616, 3681, 1055, 28029, 787, 269, 3245, 11176, 619, 547, 19174, 519, 10092, 616, 2312, 268, 1205, 856, 543, 1205, 593, 563, 17829, 945, 3442, 11176, 610, 24243, 616, 711, 8209, 7446, 547, 10205, 519, 4630, 601, 1343, 269, 25624, 543, 6280, 616, 711, 2139, 547, 3025, 563, 10673, 1406, 581, 519, 7376, 543, 1694, 1209, 532, 609, 519, 14326, 269, 23680, 602, 5326, 547, 519, 4503, 20339, 540, 3043, 812, 779, 1158, 945, 666, 6488, 547, 887, 600, 1472, 1635, 1258, 7345, 269, 1358, 666, 9101, 741, 14810, 543, 3442, 547, 7118, 543, 2628, 741, 1259, 563, 763, 3541, 690, 2218, 6835, 1934, 281, 3203, 568, 711, 513, 3407, 9295, 547, 8103, 267, 6862, 568, 17035, 269, 4658, 945, 2661, 538, 1635, 1258, 7345, 616, 4503, 20339, 609, 2724, 945, 887, 600, 2832, 8393, 543, 616, 4625, 791, 24411, 543, 32601, 543, 29749, 269, 4658, 723, 519, 1379, 547, 1205, 7694, 543, 711, 991, 13864, 2640, 269, 630, 2690, 1326, 827, 519, 3283, 945, 3112, 585, 1585, 4128, 267, 971, 607, 476, 1015, 260, 1447, 6009, 982, 2308, 762, 1004, 8094, 294, 776, 8592, 568, 519, 2278, 540, 16971, 8682, 5937, 20986, 281, 634, 6519, 2494, 779, 14134, 630, 3519, 24335, 7040, 1916, 2304, 19038, 2012, 585, 513, 13629, 2754, 2404, 609, 713, 812, 779, 6644, 9706, 1886, 698, 7701, 563, 306, 30371, 793, 5742, 25173, 543, 8843, 13999, 540, 1344, 543, 4930, 1644, 547, 3689, 8315, 590, 30371, 14879, 538, 5245, 269, 0, 10468, 1027, 1695, 18073, 5260, 13860, 11808, 454, 2171, 941, 2523, 5461, 538, 9683, 519, 3026, 1027, 1695, 5260, 2335, 553, 1317, 789, 616, 3833, 1114, 538, 1915, 982, 1346, 693, 20167, 9586, 9503, 20271, 3599, 269, 3026, 1027, 1695, 568, 538, 519, 4099, 540, 519, 5318, 3794, 18432, 8235, 16855, 543, 568, 22501, 543, 1360, 6366, 269, 634, 7226, 5161, 540, 18073, 3046, 27231, 954, 332, 12089, 609, 3573, 18073, 267, 12566, 267, 543, 607, 5155, 7733, 267, 19126, 543, 1930, 1216, 267, 26377, 267, 543, 4686, 5260, 2335, 553, 269, 3776, 3643, 5059, 593, 519, 5260, 2335, 553, 563, 763, 1858, 602, 649, 10272, 8659, 5097, 10830, 781, 18073, 630, 5226, 2075, 639, 14248, 760, 810, 10537, 529, 1070, 609, 16559, 2127, 540, 13544, 12566, 630, 303, 19434, 8492, 10005, 1040, 6987, 2400, 2127, 1185, 1044, 17468, 676, 16496, 5969, 630, 20755, 828, 5776, 26094, 1070, 4553, 676, 7928, 11311, 17236, 269, 15845, 540, 2487, 11311, 17236, 729, 1336, 563, 2026, 519, 8666, 2982, 267, 519, 24588, 568, 1454, 811, 1930, 982, 602, 693, 20167, 9586, 9503, 20271, 3599, 269, 15845, 540, 19883, 666, 581, 2938, 538, 519, 3875, 588, 7927, 16559, 998, 519, 3135, 563, 16446, 32567, 3574, 701, 1188, 619, 941, 538, 10423, 10876, 538, 713, 1858, 563, 347, 27916, 1819, 10830, 781, 18073, 5260, 13860, 2059, 476, 1321, 628, 10003, 538, 3026, 1027, 1695, 13812, 25083, 8198, 763, 1344, 593, 18073, 5260, 13860, 538, 713, 2022, 568, 1759, 593, 519, 476, 1220, 275, 3026, 1027, 1695, 18043, 11094, 4643, 267, 2139, 585, 4647, 689, 713, 3095, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2789, 3903, 2055, 543, 476, 276, 2110, 2626, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 1215, 1281, 6307, 3100, 547, 11427, 269, 570, 559, 5112, 676, 713, 1448, 888, 273, 269, 1548, 16823, 568, 4397, 693, 519, 570, 559, 5112, 1753, 888, 5416, 264, 1323, 2025, 2852, 3659, 540, 6004, 269, 570, 559, 5112, 781, 563, 6357, 264, 2290, 540, 519, 6690, 689, 519, 1153, 563, 6262, 264, 11427, 269, 18200, 541, 563, 5560, 264, 11427, 269, 570, 559, 5112, 781, 11078, 563, 274, 269, 5808, 1281, 27239, 19385, 14688, 3858, 547, 1450, 538, 519, 2777, 888, 5416, 264, 6004, 269, 570, 559, 5112, 563, 6357, 264, 11427, 269, 570, 559, 5112, 563, 6262, 264, 3220, 269, 9315, 514, 563, 275, 269, 1548, 568, 519, 6249, 2404, 609, 11427, 269, 570, 559, 5112, 693, 519, 1439, 540, 519, 1404, 888, 6262, 264, 9612, 585, 2648, 563, 276, 269, 3220, 269, 9315, 514, 11099, 602, 6307, 568, 12155, 547, 13322, 1693, 13090, 563, 6357, 264, 23472, 28542, 563, 14112, 8382, 5999, 454, 272, 269, 1215, 1281, 26795, 6146, 9887, 888, 273, 269, 6904, 540, 519, 1739, 1281, 11427, 269, 570, 559, 5112, 711, 2709, 547, 27239, 888, 274, 269, 1548, 616, 27239, 543, 26795, 15691, 547, 2057, 888, 275, 269, 1548, 1281, 27239, 2307, 3220, 269, 9315, 514, 950, 789, 616, 4805, 888, 276, 269, 1548, 1281, 11427, 269, 570, 559, 5112, 2995, 3220, 269, 9315, 514, 827, 1010, 7365, 547, 27239, 888, 1607, 3296, 3568, 476, 26631, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3883, 476, 273, 267, 3848, 476, 1724, 1923, 3883, 476, 273, 267, 3848, 476, 1691, 563, 21296, 14893, 5999, 454, 272, 269, 4438, 12049, 20143, 781, 4901, 609, 519, 17308, 3823, 2648, 267, 12049, 20143, 2829, 602, 912, 5416, 264, 2141, 635, 1080, 4628, 547, 2648, 454, 6357, 264, 1281, 711, 1174, 2648, 454, 6262, 264, 646, 1281, 711, 2648, 1454, 454, 5560, 264, 8813, 538, 2648, 3362, 454, 273, 269, 2311, 519, 2673, 540, 3848, 476, 1691, 267, 621, 568, 2312, 602, 12049, 20143, 781, 3020, 4606, 585, 21965, 912, 5416, 264, 723, 22541, 454, 6357, 264, 1869, 2611, 4420, 1194, 909, 454, 6262, 264, 723, 18854, 22363, 2476, 454, 5560, 264, 723, 18423, 519, 1482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25192, 563, 273, 264, 717, 636, 11676, 828, 590, 3421, 454, 294, 636, 12285, 568, 513, 29779, 543, 811, 8465, 1826, 540, 12285, 269, 634, 10733, 12285, 1151, 525, 2709, 1434, 17945, 543, 616, 1419, 1031, 538, 13680, 543, 25920, 24692, 10887, 563, 274, 264, 11511, 701, 11676, 828, 590, 3421, 454, 290, 516, 701, 12285, 568, 513, 2067, 12285, 609, 513, 1257, 3293, 267, 1835, 1074, 1194, 5920, 269, 898, 2488, 1434, 20086, 543, 568, 4122, 1031, 538, 13680, 543, 10571, 10887, 563, 275, 264, 966, 756, 1090, 590, 3421, 454, 309, 756, 1090, 568, 513, 6216, 1634, 585, 922, 1164, 26024, 12285, 1151, 525, 269, 1358, 616, 14463, 267, 1683, 5140, 20086, 267, 543, 616, 1419, 1031, 538, 19482, 25192, 543, 9205, 31321, 563, 276, 264, 645, 31500, 11676, 828, 590, 3421, 454, 289, 31500, 12285, 568, 513, 17426, 543, 24302, 16845, 1826, 540, 12285, 269, 898, 3091, 1434, 8710, 10338, 543, 568, 4122, 1031, 538, 4881, 10887, 563, 305, 889, 828, 6852, 10682, 4388, 454, 2252, 596, 991, 547, 5372, 519, 12285, 1151, 525, 593, 707, 10887, 267, 1934, 616, 930, 4388, 547, 948, 596, 609, 519, 1184, 912, 5445, 2061, 1022, 1793, 2354, 543, 8813, 454, 305, 889, 828, 1151, 539, 10887, 2966, 547, 7413, 519, 1981, 540, 1793, 2354, 543, 8813, 269, 634, 12285, 1570, 1031, 538, 519, 1151, 525, 2488, 5140, 20086, 267, 3850, 585, 513, 6109, 17945, 593, 1585, 7252, 269, 901, 2337, 547, 2061, 23139, 1793, 2354, 267, 2523, 593, 31868, 2044, 610, 19514, 14099, 563, 763, 8112, 543, 8710, 10338, 3601, 540, 12285, 1151, 525, 849, 3565, 547, 6617, 543, 3666, 267, 4227, 519, 10171, 540, 8813, 563, 305, 889, 828, 1151, 525, 666, 7494, 2569, 519, 1981, 267, 855, 789, 798, 711, 4625, 9004, 519, 7872, 540, 1793, 2354, 543, 8813, 538, 782, 3871, 563, 16665, 1677, 281, 14272, 16237, 28517, 20113, 1280, 26121, 454, 5445, 2149, 1996, 9991, 3615, 454, 305, 889, 828, 1151, 539, 10887, 666, 1683, 930, 1377, 540, 4027, 1996, 9991, 3615, 269, 634, 12285, 1570, 1031, 538, 519, 1151, 525, 3091, 513, 1978, 4110, 540, 1764, 4187, 267, 799, 666, 948, 10110, 543, 15814, 519, 3196, 540, 513, 9991, 1843, 563, 1607, 666, 2569, 519, 1981, 540, 5945, 547, 519, 3952, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 519, 1377, 540, 4027, 949, 4268, 4470, 593, 519, 1808, 1374, 543, 4070, 540, 519, 21489, 563, 1103, 3871, 1141, 972, 568, 513, 2362, 1981, 540, 9991, 3615, 267, 621, 568, 19624, 547, 5957, 31321, 4481, 2966, 585, 3106, 267, 971, 607, 5374, 3562, 539, 25192, 563, 5445, 2149, 1996, 17236, 543, 4598, 547, 1164, 5210, 454, 305, 889, 828, 1151, 539, 10887, 666, 2709, 930, 4027, 1996, 17236, 543, 4598, 547, 1164, 5210, 269, 634, 12285, 1570, 1031, 538, 519, 1151, 525, 814, 7915, 3002, 4187, 3601, 267, 799, 666, 948, 1202, 3634, 519, 3952, 689, 3905, 7252, 610, 3615, 563, 1607, 666, 581, 3226, 6225, 538, 5054, 1141, 972, 568, 513, 1981, 540, 25884, 3905, 7252, 267, 971, 607, 4853, 5468, 610, 9205, 2238, 563, 4913, 267, 621, 779, 1271, 547, 4063, 602, 519, 1377, 540, 4027, 949, 4268, 4470, 593, 519, 1808, 21489, 1374, 543, 519, 8653, 543, 8515, 540, 519, 3002, 4598, 563, 1103, 3871, 609, 3665, 3002, 610, 12675, 4598, 267, 7463, 3002, 15033, 31321, 949, 581, 2556, 585, 6099, 4027, 563, 16665, 1677, 281, 1215, 10705, 26121, 1744, 3996, 29799, 888, 16665, 1677, 281, 1215, 1677, 3680, 11511, 2084, 1744, 3996, 454, 305, 889, 828, 1606, 565, 539, 10887, 616, 513, 4052, 543, 6325, 3903, 585, 2043, 5275, 31321, 602, 3091, 15006, 267, 20086, 267, 543, 4313, 269, 2060, 741, 8465, 12285, 1151, 525, 267, 891, 10887, 1683, 5140, 17945, 543, 8710, 10338, 267, 1818, 873, 5078, 585, 1585, 2238, 543, 1768, 23230, 563, 15371, 596, 2461, 3695, 519, 1390, 13964, 610, 10188, 4683, 5054, 267, 12285, 1151, 539, 10887, 2709, 519, 4708, 540, 2247, 540, 8476, 6617, 543, 4027, 1996, 1793, 2354, 543, 8813, 269, 7767, 538, 513, 6292, 540, 12285, 1606, 565, 539, 10887, 2221, 543, 1995, 519, 796, 18566, 762, 4999, 540, 2511, 543, 10342, 269, 0, 6524, 649, 666, 1205, 3238, 538, 3843, 547, 10146, 2436, 6211, 5521, 1852, 568, 519, 3210, 547, 519, 11641, 20820, 2404, 2825, 4145, 267, 621, 1131, 6157, 581, 1697, 547, 1683, 6000, 513, 2370, 4282, 9623, 593, 713, 2898, 17079, 1852, 3028, 282, 585, 519, 5413, 540, 1346, 945, 949, 581, 25884, 621, 585, 519, 1360, 1101, 942, 563, 3086, 267, 10860, 616, 7103, 630, 20200, 1227, 12961, 264, 602, 616, 8801, 547, 519, 4690, 540, 519, 1004, 945, 3277, 547, 873, 1317, 540, 713, 269, 4935, 547, 6705, 267, 519, 7786, 602, 4323, 543, 3548, 909, 741, 7031, 630, 31347, 538, 519, 4610, 610, 2429, 4859, 1070, 1131, 581, 17941, 607, 12961, 269, 2201, 519, 824, 1688, 267, 519, 2048, 637, 7808, 7786, 685, 602, 1419, 4043, 547, 17684, 909, 609, 1919, 538, 6469, 1305, 5725, 630, 3697, 29700, 267, 602, 666, 17684, 909, 609, 12308, 338, 538, 4859, 1070, 616, 9763, 607, 7786, 676, 1416, 339, 5474, 269, 29247, 12946, 538, 2247, 568, 602, 4352, 519, 5354, 540, 10860, 616, 12961, 267, 972, 616, 10123, 9425, 616, 1297, 602, 616, 1875, 2987, 4167, 338, 281, 609, 519, 16726, 14148, 630, 7474, 666, 3190, 909, 609, 2371, 538, 10443, 2583, 540, 1919, 10710, 538, 10821, 1305, 5725, 264, 1373, 2938, 607, 12961, 607, 1134, 267, 519, 1249, 602, 789, 616, 711, 12961, 711, 5976, 9227, 563, 16352, 2938, 602, 7786, 616, 8801, 267, 621, 1131, 581, 2067, 602, 2043, 945, 2049, 547, 2048, 6420, 3411, 19907, 685, 547, 873, 1131, 6157, 20053, 547, 9004, 873, 269, 769, 519, 29291, 267, 1004, 602, 10093, 1406, 2943, 15468, 6408, 547, 15495, 1131, 6157, 581, 16994, 547, 2061, 971, 513, 2048, 325, 622, 10200, 5029, 1944, 12961, 267, 676, 519, 1259, 267, 666, 581, 513, 4049, 22038, 281, 5215, 540, 25614, 540, 3484, 1633, 723, 1044, 6956, 547, 581, 16207, 2476, 676, 7786, 538, 513, 22072, 1554, 267, 4611, 538, 9271, 602, 4122, 3068, 9118, 536, 15085, 269, 898, 568, 519, 3527, 3144, 547, 2061, 5521, 12289, 1310, 602, 267, 610, 547, 4194, 5521, 12289, 952, 621, 814, 2965, 2907, 7018, 267, 602, 616, 5219, 547, 607, 16030, 17079, 1852, 563, 3086, 11641, 1852, 3217, 1585, 2010, 267, 13461, 593, 519, 15495, 835, 568, 12394, 547, 4894, 630, 528, 547, 3247, 519, 31593, 540, 1040, 1656, 1247, 8273, 15495, 899, 14148, 1522, 581, 14931, 609, 7344, 2409, 899, 29212, 267, 585, 606, 6905, 1974, 540, 942, 267, 621, 568, 3114, 1852, 602, 814, 5249, 585, 519, 8101, 5354, 540, 12961, 267, 799, 4043, 547, 581, 10860, 607, 3105, 5018, 269, 634, 6464, 8246, 538, 713, 23072, 616, 1018, 616, 1572, 607, 6464, 269, 1656, 849, 1247, 13851, 616, 2356, 1360, 6325, 538, 11641, 20820, 267, 519, 17498, 728, 547, 873, 814, 513, 12402, 547, 1265, 909, 950, 649, 2015, 519, 5168, 602, 789, 1419, 4043, 547, 581, 1360, 3235, 10999, 4652, 7037, 269, 4270, 4502, 12946, 538, 2247, 267, 1631, 267, 568, 519, 5168, 602, 519, 6464, 4330, 607, 6464, 4043, 547, 581, 5393, 3532, 3283, 269, 1924, 621, 2356, 4386, 602, 15244, 540, 873, 3251, 1141, 789, 941, 1031, 267, 849, 1310, 519, 7786, 616, 8854, 269, 8409, 15244, 616, 5555, 18233, 1524, 547, 519, 1216, 4703, 1141, 789, 17885, 9735, 14784, 547, 519, 630, 12061, 5521, 264, 2371, 543, 10130, 2199, 538, 519, 1216, 4703, 563, 2005, 568, 5855, 827, 713, 8733, 3310, 540, 3114, 11641, 20820, 602, 8507, 538, 2055, 3823, 2436, 606, 3063, 3235, 10999, 3659, 4480, 585, 15725, 12961, 7948, 1406, 581, 2919, 269, 7388, 5406, 1267, 729, 519, 3408, 540, 8925, 899, 519, 6211, 5521, 1852, 267, 799, 649, 616, 12394, 547, 1294, 2436, 621, 568, 5963, 519, 2626, 547, 2152, 6659, 827, 630, 23755, 268, 1759, 264, 5521, 1852, 563, 1103, 5214, 11641, 20820, 267, 621, 568, 1585, 824, 7103, 602, 616, 6444, 547, 581, 11975, 547, 519, 3283, 9763, 607, 17079, 602, 616, 5950, 2390, 519, 1767, 10860, 282, 4189, 873, 909, 543, 585, 602, 2601, 7231, 609, 519, 11641, 8373, 269, 4935, 952, 519, 16609, 10860, 616, 30293, 267, 519, 824, 14471, 602, 616, 6444, 547, 3049, 2390, 30293, 616, 5189, 1318, 883, 519, 1858, 1141, 519, 1966, 568, 267, 547, 3049, 593, 519, 30293, 267, 607, 10353, 547, 10943, 4770, 606, 10357, 20935, 3114, 563, 763, 1966, 609, 5214, 11641, 20820, 267, 1498, 267, 568, 602, 621, 1419, 11148, 547, 581, 540, 30940, 7145, 269, 2755, 3114, 17079, 1852, 814, 513, 12402, 547, 581, 3573, 267, 6028, 1100, 10860, 543, 1256, 15244, 540, 873, 267, 538, 6211, 21313, 1852, 267, 602, 666, 1406, 3833, 581, 21407, 269, 13079, 5024, 6211, 21313, 1852, 7839, 4493, 630, 553, 606, 1383, 593, 513, 8536, 20267, 732, 24873, 264, 666, 11338, 13182, 547, 581, 513, 1200, 9908, 534, 4305, 269, 16828, 267, 621, 568, 2188, 547, 2015, 899, 891, 602, 1118, 721, 1832, 593, 3206, 540, 811, 10357, 7888, 11641, 1852, 2553, 269, 901, 568, 1813, 547, 519, 1249, 602, 6211, 11641, 1852, 267, 1247, 9090, 1373, 513, 1505, 602, 5543, 1407, 519, 8733, 2152, 11506, 827, 3114, 5521, 1852, 267, 621, 1281, 711, 3100, 547, 581, 6325, 630, 528, 27249, 264, 2614, 267, 538, 519, 5354, 540, 1004, 2043, 779, 8289, 563, 6624, 2043, 1294, 24972, 22450, 543, 849, 11641, 1852, 607, 513, 798, 32717, 3917, 712, 1345, 2816, 269, 4270, 602, 779, 10257, 2614, 1107, 909, 547, 513, 3815, 269, 29088, 22450, 17079, 1852, 20998, 10992, 856, 519, 10629, 281, 547, 21559, 6325, 2126, 707, 2564, 3318, 991, 547, 7157, 13209, 519, 1966, 543, 3313, 519, 1377, 540, 519, 5945, 538, 1840, 547, 519, 7872, 585, 811, 5945, 269, 769, 12220, 267, 621, 779, 1044, 4362, 602, 1082, 5411, 1810, 1406, 21898, 547, 2638, 856, 519, 4808, 23939, 610, 1745, 519, 3747, 547, 4268, 9552, 562, 573, 632, 1368, 788, 525, 476, 6507, 519, 8846, 2048, 26238, 789, 1745, 789, 5431, 1454, 1732, 17483, 6546, 3123, 936, 8410, 1417, 3603, 13121, 1137, 540, 5521, 8336, 607, 606, 1383, 799, 1223, 581, 5906, 547, 707, 1072, 543, 9716, 543, 849, 1022, 1826, 540, 8436, 269, 28900, 649, 616, 4481, 13288, 547, 6464, 267, 607, 3114, 21313, 1852, 568, 1869, 519, 3119, 2186, 2221, 269, 16480, 267, 602, 7150, 267, 519, 1279, 18835, 5222, 540, 6464, 814, 4547, 827, 513, 17105, 1719, 538, 2757, 607, 1134, 607, 5214, 21313, 1852, 2509, 519, 1439, 540, 519, 476, 736, 628, 2540, 269, 2690, 1346, 945, 798, 711, 798, 18789, 24972, 22450, 543, 849, 17079, 1852, 267, 972, 568, 519, 3903, 540, 10865, 2638, 16080, 689, 707, 8378, 1870, 269, 2290, 5413, 568, 602, 513, 1268, 1058, 581, 10992, 856, 707, 1753, 543, 13452, 585, 11641, 13542, 4749, 269, 2290, 2721, 3724, 568, 602, 3959, 5411, 16119, 31274, 602, 623, 4596, 338, 4019, 513, 3114, 2126, 2834, 10865, 2436, 972, 568, 513, 17079, 1966, 610, 711, 256, 0, 1432, 616, 930, 1913, 602, 2097, 547, 707, 2247, 950, 596, 5873, 2048, 26625, 17067, 4763, 685, 888, 2080, 616, 930, 1913, 602, 1655, 4766, 621, 1107, 31621, 267, 7457, 267, 24054, 267, 29621, 267, 20556, 20671, 267, 16743, 563, 11045, 17067, 16844, 568, 27147, 602, 568, 5683, 269, 898, 568, 513, 1870, 4640, 543, 513, 5100, 1870, 3903, 563, 8005, 2640, 689, 18261, 4763, 888, 291, 5744, 4213, 1107, 667, 5744, 24804, 4213, 267, 1519, 2021, 267, 11806, 273, 31956, 25982, 267, 543, 12102, 24804, 3549, 1419, 3068, 23665, 602, 824, 3549, 798, 711, 267, 1519, 2591, 609, 1569, 547, 7616, 267, 519, 2702, 547, 3060, 607, 3362, 267, 28639, 267, 543, 824, 2152, 269, 4675, 17067, 4763, 2337, 891, 4213, 1205, 513, 1850, 909, 547, 1332, 741, 1870, 1107, 5356, 873, 1870, 2636, 873, 547, 4336, 909, 543, 14526, 1732, 538, 519, 2344, 267, 799, 2417, 7512, 5647, 1369, 3761, 11800, 267, 5807, 2208, 1369, 2950, 563, 16391, 3074, 5275, 3309, 14273, 1107, 4675, 17067, 4763, 711, 1152, 2640, 3309, 4213, 267, 621, 849, 2640, 14078, 543, 2229, 3906, 609, 18261, 4763, 3292, 538, 1747, 269, 898, 2488, 3875, 15889, 2640, 547, 519, 2754, 267, 1519, 2799, 2344, 2671, 267, 2799, 2754, 8112, 267, 543, 3152, 6735, 1851, 513, 2754, 779, 14273, 269, 4746, 267, 2799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 519, 3483, 540, 3029, 538, 28580, 2131, 342, 32121, 888, 307, 320, 2131, 342, 32121, 3029, 4001, 707, 1560, 1434, 3666, 676, 22589, 737, 6506, 267, 7161, 267, 543, 5309, 2583, 609, 1379, 267, 855, 1287, 4509, 1697, 14302, 267, 543, 3723, 543, 1688, 2990, 1510, 16030, 707, 18879, 269, 6153, 4480, 568, 540, 519, 11129, 1034, 2956, 538, 3029, 1317, 621, 2591, 721, 519, 1034, 609, 11558, 543, 3666, 563, 1432, 616, 3029, 538, 28580, 2131, 342, 32121, 888, 307, 320, 2131, 342, 32121, 3029, 616, 513, 3126, 540, 13387, 5322, 602, 19248, 2131, 342, 32121, 1053, 946, 538, 1931, 547, 2259, 968, 4752, 2400, 892, 543, 968, 3698, 2400, 892, 2553, 1510, 513, 7649, 269, 19248, 2131, 342, 32121, 1053, 1590, 1685, 519, 5322, 7157, 538, 1142, 1106, 538, 1931, 547, 1780, 12966, 4255, 563, 1692, 1082, 19248, 2131, 342, 32121, 3029, 616, 972, 888, 763, 1433, 19248, 2131, 342, 32121, 22553, 8638, 476, 10170, 3029, 689, 2185, 1114, 6163, 540, 19248, 2131, 342, 32121, 267, 3976, 519, 2698, 1297, 540, 3029, 538, 782, 540, 19248, 2131, 342, 32121, 568, 693, 2547, 476, 10170, 563, 1692, 1082, 737, 21648, 616, 972, 538, 19248, 2131, 342, 32121, 888, 2467, 616, 476, 2190, 4013, 8668, 293, 19248, 2131, 342, 32121, 3270, 269, 634, 1297, 540, 3270, 729, 6074, 676, 4937, 932, 16211, 15173, 19743, 267, 519, 13653, 540, 8668, 293, 19248, 2131, 342, 32121, 267, 1317, 476, 2190, 729, 12572, 540, 519, 476, 2190, 3108, 538, 513, 1554, 269, 634, 4408, 540, 519, 476, 2190, 3270, 616, 1759, 593, 1271, 2621, 610, 1004, 538, 11114, 1686, 563, 1432, 616, 519, 476, 276, 3652, 540, 28580, 2131, 342, 32121, 888, 763, 28975, 540, 19248, 2131, 342, 32121, 616, 1419, 2016, 538, 513, 1592, 540, 2947, 281, 21806, 267, 8699, 267, 16177, 267, 1582, 20820, 543, 967, 558, 3386, 6891, 563, 1692, 1082, 26797, 616, 972, 538, 19248, 2131, 342, 32121, 888, 2467, 616, 476, 274, 1292, 3906, 15725, 19248, 2131, 342, 32121, 912, 2467, 616, 476, 1015, 2983, 5725, 2394, 3109, 12966, 543, 476, 280, 546, 753, 1310, 269, 634, 2262, 968, 323, 534, 892, 1797, 4110, 538, 11114, 267, 621, 568, 1031, 547, 1374, 622, 16034, 540, 3109, 26797, 563, 4692, 594, 1376, 28580, 2131, 342, 32121, 693, 476, 1626, 888, 27028, 5193, 569, 256, 1703, 568, 1100, 968, 1729, 334, 2025, 892, 547, 1376, 19248, 2131, 342, 32121, 563, 1432, 798, 596, 1289, 513, 19248, 2131, 342, 32121, 4116, 888, 288, 19248, 2131, 342, 32121, 14357, 1058, 711, 581, 5219, 547, 607, 2048, 338, 1619, 328, 685, 1317, 2048, 338, 1619, 328, 685, 568, 513, 5545, 2165, 602, 779, 1031, 538, 10127, 622, 269, 19248, 2131, 342, 32121, 568, 513, 11114, 19831, 1148, 267, 543, 3976, 3096, 11114, 16166, 269, 634, 2953, 2012, 585, 606, 14357, 538, 19248, 2131, 342, 32121, 568, 10563, 480, 361, 423, 366, 498, 26453, 558, 630, 6518, 568, 14733, 899, 1094, 327, 1532, 558, 267, 711, 2161, 1532, 558, 1916, 3674, 19248, 2131, 342, 32121, 2352, 547, 1451, 888, 307, 320, 2131, 342, 32121, 568, 711, 606, 2653, 3364, 547, 1451, 267, 543, 1169, 2582, 1305, 540, 7575, 267, 1169, 10880, 267, 543, 1169, 18879, 3217, 513, 2603, 540, 9015, 547, 4487, 269, 901, 1565, 540, 3804, 4259, 543, 1582, 16162, 23002, 786, 979, 513, 1360, 1279, 1259, 538, 707, 3232, 1272, 543, 786, 948, 596, 3035, 707, 1272, 3853, 609, 8897, 563, 8005, 568, 12429, 540, 19248, 2131, 342, 32121, 888, 7049, 269, 932, 16211, 15173, 19743, 267, 4922, 17019, 607, 519, 13653, 540, 512, 2801, 737, 342, 517, 798, 267, 513, 19831, 1148, 602, 3459, 538, 9705, 543, 3262, 6385, 547, 2146, 7740, 543, 4558, 325, 1258, 1206, 1472, 519, 2136, 2276, 267, 5747, 593, 4873, 476, 1428, 538, 12877, 784, 344, 836, 267, 3345, 9705, 563, 3674, 19248, 2131, 342, 32121, 2500, 538, 513, 1483, 4339, 888, 307, 320, 2131, 342, 32121, 2882, 1082, 2553, 1107, 971, 607, 17527, 267, 546, 617, 3101, 543, 3723, 1740, 1107, 585, 21108, 610, 859, 8172, 519, 6285, 15868, 1369, 519, 7328, 779, 3652, 269, 1452, 2553, 666, 581, 2500, 538, 21108, 3054, 952, 596, 2461, 9575, 538, 519, 14784, 540, 513, 8265, 4339, 267, 855, 789, 941, 711, 2966, 602, 1259, 563, 1432, 616, 519, 1079, 2010, 540, 28580, 2131, 342, 32121, 888, 15650, 540, 19248, 2131, 342, 32121, 454, 268, 2622, 19248, 2131, 342, 32121, 18966, 630, 310, 307, 293, 264, 1107, 901, 2511, 540, 28580, 2131, 342, 32121, 568, 519, 1034, 1455, 2511, 267, 543, 621, 779, 1634, 607, 519, 16727, 2511, 563, 268, 4139, 19248, 2131, 342, 32121, 18966, 630, 3951, 293, 264, 1107, 901, 2511, 568, 513, 2757, 2511, 540, 28580, 2131, 342, 32121, 602, 12662, 811, 8561, 593, 5309, 4221, 543, 1447, 8561, 593, 737, 10107, 563, 1432, 616, 519, 28580, 2131, 342, 32121, 26797, 888, 763, 2681, 26797, 2039, 689, 3043, 547, 21738, 3109, 12966, 630, 327, 2788, 3109, 267, 3368, 2699, 264, 610, 10750, 2699, 269, 634, 1931, 543, 15437, 1031, 949, 4268, 1063, 3506, 267, 855, 513, 1455, 1931, 568, 3043, 267, 5835, 267, 3039, 267, 4544, 267, 2699, 267, 3109, 269, 1717, 267, 824, 7648, 609, 513, 2362, 1297, 540, 15437, 568, 849, 4122, 2938, 563, 1432, 568, 519, 1101, 737, 1092, 888, 3891, 1014, 1744, 617, 534, 568, 849, 1634, 607, 1744, 582, 758, 534, 918, 1092, 476, 272, 269, 1261, 1014, 1744, 617, 534, 568, 519, 1101, 1744, 582, 758, 534, 737, 1092, 543, 568, 4553, 1261, 1014, 715, 573, 534, 543, 1261, 1014, 9995, 534, 269, 898, 568, 513, 1744, 582, 758, 534, 737, 1092, 585, 2681, 12966, 630, 12061, 15918, 871, 12966, 264, 1744, 582, 758, 534, 10127, 622, 1053, 563, 1432, 1281, 7313, 1682, 2801, 1611, 538, 19248, 2131, 342, 32121, 888, 307, 2801, 613, 4157, 630, 514, 918, 4157, 7288, 342, 517, 270, 310, 307, 19248, 2131, 342, 32121, 264, 4016, 547, 513, 1305, 540, 1093, 1682, 2801, 610, 3029, 1031, 547, 4001, 28580, 2131, 342, 32121, 269, 589, 1106, 267, 610, 1093, 1682, 2801, 630, 10193, 19005, 1242, 607, 533, 4548, 2801, 610, 1093, 558, 572, 264, 568, 513, 3989, 4806, 540, 8878, 7146, 31281, 871, 20517, 269, 570, 2801, 613, 4157, 666, 849, 3277, 547, 519, 2699, 543, 4544, 5858, 1031, 538, 519, 9206, 540, 3162, 9705, 269, 0, 3528, 674, 578, 578, 324, 1520, 564, 23449, 11445, 21469, 454, 2005, 568, 711, 12374, 4660, 602, 519, 1158, 729, 9575, 796, 1177, 4100, 676, 519, 11452, 630, 26542, 268, 866, 264, 799, 18867, 8507, 547, 513, 2518, 6855, 524, 23774, 1782, 3592, 1169, 12106, 540, 1272, 269, 11374, 513, 26525, 1032, 333, 585, 513, 10826, 547, 1073, 341, 5573, 519, 21987, 338, 540, 519, 3644, 267, 3621, 1382, 585, 513, 6669, 22508, 2299, 26857, 2318, 269, 1306, 1459, 267, 972, 2291, 811, 982, 19939, 630, 1428, 264, 10074, 17101, 676, 519, 2622, 2657, 9257, 630, 21766, 264, 585, 2922, 946, 269, 634, 6669, 267, 620, 553, 267, 723, 8118, 19235, 547, 1978, 1857, 8369, 593, 2272, 540, 922, 7245, 282, 930, 540, 799, 31721, 593, 1480, 2924, 269, 22353, 267, 519, 19876, 540, 713, 5888, 568, 6566, 2213, 593, 519, 2079, 540, 519, 4641, 540, 519, 5046, 268, 866, 6669, 543, 1480, 2924, 563, 763, 10417, 540, 5274, 7126, 454, 4407, 519, 1523, 540, 1480, 2924, 568, 540, 9759, 540, 713, 1603, 267, 621, 568, 8449, 11880, 1304, 547, 10646, 519, 3017, 1063, 2048, 325, 1495, 4442, 2924, 685, 543, 2048, 16058, 2924, 9957, 769, 1786, 6143, 267, 4909, 2924, 616, 519, 2596, 2924, 540, 519, 4961, 540, 513, 2197, 269, 2201, 519, 824, 1688, 267, 1480, 2924, 616, 519, 8471, 267, 6207, 267, 543, 5837, 6811, 602, 616, 7915, 543, 538, 531, 1329, 762, 547, 782, 2043, 676, 16495, 540, 741, 6228, 269, 769, 824, 1913, 267, 519, 4909, 2924, 540, 3425, 616, 1808, 543, 949, 4268, 689, 2197, 547, 2197, 267, 1247, 1480, 2924, 616, 11451, 7608, 2924, 602, 616, 543, 1590, 581, 10150, 676, 782, 1480, 7919, 7488, 540, 741, 22874, 267, 14316, 267, 7990, 543, 865, 593, 282, 1510, 7130, 563, 2026, 513, 1523, 267, 1480, 2924, 666, 17618, 581, 3989, 607, 519, 2596, 2924, 540, 1480, 7919, 602, 568, 10704, 593, 7862, 267, 14619, 267, 5191, 267, 543, 2463, 585, 782, 269, 5274, 2924, 729, 13151, 3307, 569, 3989, 676, 28270, 1712, 661, 810, 808, 2529, 5861, 630, 553, 646, 1287, 729, 264, 538, 519, 2013, 540, 681, 753, 727, 918, 583, 328, 1299, 10758, 306, 642, 269, 589, 14371, 18966, 1299, 10758, 306, 630, 2735, 276, 264, 476, 273, 32065, 28384, 547, 581, 968, 23412, 602, 723, 2141, 11478, 267, 1256, 1354, 1931, 17349, 11311, 3652, 585, 519, 6073, 789, 616, 547, 581, 8179, 6100, 769, 8561, 540, 922, 2956, 267, 621, 729, 2417, 3989, 607, 1373, 968, 320, 3119, 2783, 547, 513, 3540, 1242, 6228, 892, 799, 968, 1056, 338, 1657, 519, 8723, 4031, 540, 519, 2244, 6100, 1677, 18854, 267, 1480, 2924, 616, 1932, 10475, 547, 581, 1102, 2590, 539, 2390, 1510, 6190, 543, 20310, 24134, 563, 763, 18712, 540, 5046, 268, 866, 28404, 543, 5274, 7126, 454, 1103, 513, 19915, 547, 2327, 606, 2500, 543, 2527, 4027, 540, 519, 1857, 1996, 519, 11452, 267, 930, 2197, 6608, 723, 21892, 610, 616, 6236, 15357, 532, 519, 5137, 540, 513, 1876, 607, 606, 11268, 5650, 282, 519, 16601, 2256, 18967, 540, 519, 5046, 268, 866, 6669, 269, 1452, 4031, 723, 513, 2489, 6662, 547, 1205, 1004, 18764, 3842, 519, 791, 3789, 540, 20507, 971, 607, 8569, 540, 22717, 267, 2530, 540, 7694, 267, 543, 19231, 540, 15698, 269, 20031, 2213, 593, 713, 267, 27900, 723, 621, 602, 891, 4031, 616, 19374, 540, 1480, 2924, 269, 2060, 519, 3483, 540, 5466, 267, 713, 4901, 1131, 581, 12979, 1819, 593, 1614, 630, 274, 264, 524, 690, 550, 5380, 563, 2026, 513, 851, 540, 519, 12406, 267, 1480, 1318, 547, 15698, 814, 1044, 4767, 547, 581, 26991, 676, 519, 1818, 540, 25471, 2256, 18967, 540, 5046, 268, 866, 12674, 4031, 269, 769, 713, 2631, 267, 7606, 7150, 676, 519, 1876, 1131, 581, 11658, 538, 3350, 547, 1857, 4025, 543, 1857, 6283, 2390, 741, 30671, 547, 581, 18764, 269, 645, 2084, 713, 4661, 593, 519, 1876, 540, 519, 2136, 8003, 799, 568, 24190, 547, 1034, 4031, 538, 2474, 540, 1480, 2924, 267, 621, 568, 1854, 1143, 602, 2376, 476, 276, 540, 519, 5274, 7126, 2920, 267, 476, 1960, 279, 2488, 602, 968, 314, 324, 316, 854, 821, 814, 519, 1318, 547, 15698, 543, 3354, 540, 1268, 269, 3143, 835, 4927, 581, 27226, 540, 1010, 15698, 2560, 892, 4329, 23463, 3296, 476, 3374, 540, 519, 476, 1960, 280, 9139, 540, 519, 8549, 6243, 540, 13280, 630, 1960, 280, 595, 15709, 301, 264, 568, 538, 29077, 607, 713, 11865, 2369, 2478, 519, 1318, 547, 15698, 269, 1717, 267, 1978, 17756, 547, 713, 1318, 723, 1044, 9788, 1524, 676, 519, 1482, 14074, 538, 799, 2376, 476, 276, 16216, 264, 540, 519, 5274, 7126, 2920, 267, 476, 1960, 279, 2829, 607, 606, 9868, 3976, 968, 1492, 1876, 995, 30969, 540, 7606, 585, 519, 6604, 540, 519, 10825, 540, 11763, 3676, 6100, 1306, 513, 12343, 267, 5046, 268, 866, 1373, 606, 11763, 543, 14686, 2068, 666, 7048, 543, 723, 519, 2407, 1198, 540, 713, 9868, 538, 28142, 519, 3350, 540, 7606, 269, 769, 1840, 267, 519, 7040, 540, 2561, 7002, 540, 13280, 538, 519, 2013, 540, 715, 11445, 1721, 642, 269, 31246, 6717, 630, 1708, 272, 264, 700, 303, 5085, 305, 1107, 476, 276, 3066, 5392, 630, 7563, 264, 7150, 3976, 281, 968, 314, 307, 316, 515, 1318, 547, 2123, 15698, 2560, 568, 711, 6207, 543, 666, 607, 15868, 676, 1876, 581, 3541, 690, 730, 689, 9731, 13010, 267, 930, 17600, 723, 1044, 8547, 593, 519, 991, 547, 2463, 519, 1480, 1560, 543, 3903, 1107, 2436, 610, 711, 519, 6408, 540, 519, 3644, 23297, 547, 4309, 519, 6669, 269, 901, 814, 8854, 547, 519, 6708, 540, 554, 15781, 621, 593, 519, 1318, 547, 15683, 540, 1480, 1268, 31737, 538, 3296, 476, 4097, 540, 519, 476, 1960, 280, 595, 15709, 301, 267, 2376, 476, 276, 540, 519, 3979, 25943, 593, 5274, 543, 4658, 779, 7126, 267, 1851, 1866, 269, 634, 6811, 1934, 616, 2241, 282, 519, 30671, 547, 519, 2564, 2126, 540, 5046, 268, 866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6343, 568, 12572, 454, 257, 26668, 6060, 1296, 3516, 267, 513, 1390, 1977, 267, 538, 4171, 12572, 14692, 649, 1796, 2221, 267, 9896, 519, 661, 2006, 322, 11692, 1160, 17474, 269, 27029, 296, 1589, 602, 596, 1058, 1397, 519, 2796, 563, 2252, 596, 2638, 513, 8675, 267, 596, 666, 1294, 519, 1739, 7778, 563, 28490, 596, 4766, 606, 2680, 267, 2962, 267, 610, 5650, 607, 12572, 267, 596, 1611, 602, 621, 4564, 606, 1271, 1689, 267, 4352, 621, 814, 2370, 4052, 1198, 1848, 630, 4596, 289, 308, 6579, 291, 994, 263, 272, 264, 1284, 1796, 2221, 538, 12493, 779, 12572, 14692, 563, 263, 273, 264, 12866, 6060, 1296, 3516, 267, 12493, 9896, 519, 661, 2006, 322, 11692, 1160, 17474, 563, 21914, 2219, 602, 519, 14692, 538, 799, 2048, 933, 685, 11542, 1287, 729, 12572, 269, 634, 14692, 6719, 606, 1271, 1689, 267, 4352, 621, 32372, 1492, 14692, 264, 1185, 2370, 4052, 1198, 563, 4537, 20760, 568, 606, 4277, 4082, 269, 634, 2262, 968, 22131, 26382, 892, 729, 1031, 547, 12189, 968, 3333, 20760, 9731, 28490, 596, 2661, 538, 519, 14692, 540, 2576, 610, 538, 741, 14692, 267, 741, 10781, 543, 5759, 616, 865, 1390, 602, 596, 616, 711, 8068, 610, 12595, 1848, 263, 4596, 289, 308, 6579, 291, 264, 0, 19547, 2286, 14271, 11618, 1299, 26479, 454, 26239, 11618, 616, 1913, 602, 723, 519, 1482, 610, 3592, 519, 1482, 2495, 543, 519, 4214, 568, 519, 2143, 7778, 540, 519, 2262, 269, 901, 2985, 786, 948, 596, 856, 4466, 519, 9502, 1299, 14271, 11618, 540, 7366, 540, 1913, 5018, 593, 713, 2985, 269, 6744, 856, 519, 2985, 543, 1451, 811, 827, 519, 2296, 6863, 563, 1892, 5489, 2286, 14240, 1299, 12791, 538, 2296, 454, 268, 630, 335, 269, 929, 269, 1299, 642, 321, 269, 562, 4700, 540, 5489, 778, 454, 1892, 5489, 778, 14240, 1299, 12791, 538, 2296, 454, 268, 630, 341, 269, 512, 4700, 1677, 5094, 585, 513, 2027, 1843, 610, 946, 282, 4534, 1031, 2523, 538, 4108, 1893, 282, 607, 267, 547, 1033, 778, 513, 6928, 689, 513, 18239, 267, 610, 513, 2754, 689, 513, 31458, 563, 268, 630, 341, 269, 1775, 4700, 1677, 7903, 607, 8974, 282, 547, 2097, 1055, 610, 5094, 689, 4376, 282, 547, 771, 1263, 720, 563, 268, 630, 341, 269, 512, 4700, 1677, 851, 282, 547, 5094, 610, 771, 684, 924, 282, 547, 771, 1263, 720, 282, 4534, 519, 6587, 540, 8936, 282, 607, 267, 547, 1033, 778, 519, 25151, 540, 513, 15941, 748, 3597, 689, 1142, 824, 282, 547, 1033, 778, 513, 812, 689, 513, 6205, 610, 689, 513, 5428, 269, 0, 9213, 649, 786, 1451, 827, 5546, 2336, 272, 269, 5384, 547, 1205, 909, 543, 19933, 256, 8745, 519, 3337, 3014, 568, 1101, 909, 593, 519, 547, 798, 1592, 2336, 273, 269, 3619, 1472, 707, 2777, 543, 1265, 476, 276, 1114, 5546, 256, 8347, 547, 1265, 930, 476, 273, 291, 5546, 543, 476, 274, 291, 5546, 563, 274, 269, 2913, 781, 1205, 3860, 269, 13772, 713, 2370, 1650, 543, 1287, 1404, 513, 3337, 27378, 3014, 609, 707, 3885, 269, 8571, 513, 3337, 543, 1589, 3544, 519, 4216, 593, 1018, 621, 1131, 581, 269, 23426, 623, 5315, 1826, 540, 3014, 563, 275, 269, 2422, 623, 3591, 1834, 853, 6506, 610, 20612, 547, 1711, 5546, 269, 1215, 1082, 5546, 666, 596, 1711, 286, 0, 306, 9331, 300, 14473, 763, 8230, 334, 10830, 8805, 729, 835, 540, 634, 4279, 14086, 6682, 1186, 540, 4516, 282, 621, 729, 711, 1152, 4516, 781, 2034, 4102, 3119, 8988, 16073, 543, 835, 540, 519, 29659, 3397, 6261, 321, 19053, 333, 18916, 12074, 2479, 24776, 538, 519, 1158, 267, 621, 729, 849, 835, 540, 519, 1292, 560, 904, 540, 519, 962, 4157, 517, 4346, 689, 519, 476, 4572, 271, 338, 267, 1310, 519, 4028, 7771, 540, 519, 28822, 1180, 833, 7108, 7615, 267, 2394, 519, 2038, 476, 3422, 271, 338, 269, 2311, 922, 8445, 538, 519, 476, 4198, 271, 338, 543, 2038, 476, 3422, 271, 338, 267, 621, 6462, 827, 476, 1428, 260, 540, 519, 16857, 2551, 269, 898, 849, 3812, 811, 5763, 982, 519, 28822, 1180, 833, 267, 835, 540, 519, 29659, 726, 27468, 4154, 13102, 538, 519, 1158, 269, 11374, 513, 1507, 2179, 540, 1688, 5599, 1063, 476, 4489, 274, 543, 476, 4489, 278, 267, 3677, 4336, 2504, 729, 3592, 6024, 689, 476, 4489, 280, 547, 476, 2735, 280, 267, 4849, 1282, 519, 2112, 689, 476, 3707, 273, 547, 476, 3707, 276, 269, 5565, 3549, 3812, 1034, 540, 519, 7626, 267, 570, 1348, 6202, 962, 4157, 517, 29651, 269, 13456, 269, 689, 476, 4572, 276, 547, 476, 3707, 272, 267, 543, 2136, 8230, 334, 10830, 631, 1149, 13456, 269, 1063, 476, 3707, 278, 543, 476, 2735, 280, 269, 5637, 3549, 4682, 22625, 950, 8988, 5777, 8959, 547, 2333, 607, 3533, 607, 5599, 3790, 269, 6168, 1614, 1296, 540, 796, 11296, 14425, 262, 7283, 693, 19479, 563, 306, 6865, 7246, 296, 3918, 8867, 3786, 1295, 1512, 632, 8230, 334, 10830, 1609, 561, 262, 684, 964, 21246, 14513, 13122, 1295, 4536, 5918, 4516, 269, 6348, 694, 340, 2211, 521, 262, 698, 527, 268, 559, 5918, 632, 340, 3495, 11726, 1889, 7132, 6264, 1587, 16725, 666, 611, 1329, 632, 1295, 518, 2967, 2215, 18311, 546, 262, 1173, 550, 1696, 561, 262, 684, 964, 7132, 13284, 1127, 575, 1047, 906, 2083, 517, 16772, 632, 3397, 6261, 321, 19053, 333, 17908, 2946, 5918, 544, 27475, 267, 544, 9820, 24924, 513, 476, 18863, 2946, 513, 1380, 328, 561, 262, 684, 964, 7796, 4536, 20527, 1595, 2294, 5918, 962, 4157, 517, 20221, 851, 597, 964, 3045, 2946, 525, 476, 4572, 271, 267, 24203, 11726, 338, 682, 22850, 728, 26955, 743, 514, 964, 9106, 1186, 28050, 604, 11726, 637, 5918, 28822, 1180, 833, 267, 795, 639, 638, 262, 879, 26955, 8117, 964, 3045, 2946, 525, 476, 3422, 271, 269, 30080, 3655, 383, 362, 974, 632, 1094, 2504, 267, 546, 753, 8350, 3045, 2946, 525, 476, 4198, 271, 1696, 26955, 8117, 476, 3422, 271, 267, 24924, 2185, 333, 1170, 7159, 5918, 911, 341, 841, 20221, 679, 1333, 476, 1428, 260, 632, 3288, 2551, 5918, 962, 4157, 517, 269, 1546, 7132, 267, 24924, 513, 1835, 2946, 2946, 7132, 632, 13284, 1127, 572, 6446, 561, 262, 528, 5918, 28822, 1180, 833, 910, 561, 262, 684, 964, 7132, 13284, 1127, 13102, 546, 262, 528, 726, 659, 2946, 31151, 14193, 544, 27475, 269, 4455, 11726, 338, 11552, 1330, 974, 533, 2946, 686, 1712, 546, 262, 2169, 3555, 1148, 16388, 1446, 267, 632, 476, 4489, 274, 20221, 476, 4489, 278, 267, 513, 647, 643, 328, 11552, 533, 2946, 686, 1712, 546, 262, 2169, 3555, 20221, 7132, 6264, 324, 20527, 322, 3559, 548, 267, 1095, 4302, 3136, 267, 1303, 516, 476, 4489, 280, 1696, 476, 2735, 280, 267, 10487, 325, 546, 584, 656, 3288, 1368, 518, 516, 267, 1303, 516, 476, 3707, 273, 1696, 476, 3707, 276, 269, 1546, 5060, 1914, 18863, 15530, 9910, 11726, 637, 23835, 1028, 584, 2946, 561, 262, 2169, 3555, 632, 3288, 1095, 4302, 2698, 527, 2946, 5918, 1295, 518, 2967, 267, 865, 527, 3288, 570, 1348, 6202, 962, 4157, 517, 29651, 269, 13456, 1421, 632, 476, 4572, 276, 20221, 476, 3707, 272, 267, 1696, 3288, 2136, 8230, 334, 10830, 631, 1149, 13456, 1421, 632, 476, 3707, 278, 20221, 476, 2735, 280, 269, 595, 525, 632, 5060, 1914, 18863, 15530, 23835, 3655, 650, 328, 1710, 534, 857, 27056, 618, 620, 832, 6446, 682, 533, 3700, 632, 561, 262, 1173, 550, 513, 476, 18863, 2946, 20546, 2946, 1612, 8350, 1071, 383, 375, 1206, 546, 262, 2169, 3555, 269, 3331, 478, 3288, 535, 1069, 564, 675, 267, 682, 4320, 964, 678, 15530, 12883, 20527, 638, 2526, 7159, 20221, 679, 1333, 7708, 529, 3045, 2946, 525, 546, 262, 30161, 334, 2787, 563, 272, 6333, 762, 1382, 883, 5599, 20569, 543, 7626, 8060, 267, 2059, 609, 9836, 2627, 3408, 267, 729, 5342, 538, 519, 8230, 334, 10830, 8988, 3786, 630, 1877, 12898, 5219, 547, 607, 519, 8230, 334, 10830, 8805, 264, 1282, 519, 2063, 476, 3393, 1296, 540, 5106, 269, 11153, 2520, 5505, 1256, 4371, 519, 2140, 540, 3194, 2983, 6048, 269, 1717, 267, 8313, 729, 711, 9415, 676, 2136, 8230, 334, 10830, 631, 1149, 13456, 269, 630, 20084, 295, 300, 264, 543, 2370, 2143, 1344, 814, 1044, 3370, 593, 519, 1641, 2094, 15196, 548, 630, 3422, 276, 1070, 4171, 2361, 1740, 7389, 689, 476, 4198, 274, 547, 476, 4198, 276, 269, 13518, 540, 519, 19017, 17027, 7326, 543, 9746, 3965, 568, 24298, 585, 519, 1101, 942, 538, 713, 1957, 267, 799, 568, 513, 10282, 540, 519, 7422, 1500, 936, 519, 1296, 676, 1082, 9553, 543, 3408, 2520, 5505, 269, 634, 8561, 568, 593, 5599, 20569, 543, 875, 922, 23538, 543, 7140, 262, 8032, 519, 1686, 540, 519, 3786, 563, 273, 4014, 1034, 540, 519, 2504, 543, 9344, 543, 13664, 1344, 941, 1101, 4080, 538, 15875, 4559, 267, 789, 723, 1044, 10736, 547, 11973, 4559, 2429, 713, 1957, 269, 634, 1152, 9868, 568, 3397, 5777, 267, 799, 723, 2141, 1044, 20926, 593, 1158, 6990, 538, 1269, 4785, 14121, 5797, 26412, 630, 9926, 270, 2023, 1040, 1280, 16134, 267, 3397, 29508, 543, 2504, 5515, 616, 2016, 538, 1312, 15875, 543, 11973, 4559, 269, 4014, 3397, 9344, 616, 7363, 4080, 538, 519, 11973, 1062, 607, 575, 14121, 267, 8230, 334, 10830, 7626, 568, 865, 3638, 602, 789, 616, 2016, 538, 4846, 14121, 2429, 713, 1867, 269, 1677, 2057, 10539, 267, 512, 262, 4016, 547, 9522, 928, 543, 519, 2110, 9522, 568, 2141, 25250, 856, 269, 4746, 267, 9553, 2157, 630, 324, 3052, 269, 476, 20981, 1377, 1070, 799, 941, 3957, 2687, 547, 741, 16977, 7299, 3845, 538, 3952, 2630, 519, 6602, 6029, 267, 2611, 24240, 563, 19613, 543, 7457, 454, 274, 634, 3786, 568, 4092, 2673, 547, 519, 13664, 8998, 540, 519, 962, 4157, 517, 24540, 267, 693, 20173, 476, 8287, 4113, 4649, 262, 301, 543, 29978, 476, 13670, 4113, 2537, 262, 310, 267, 1369, 715, 4811, 4786, 1606, 19298, 476, 10755, 631, 270, 1724, 267, 476, 1691, 267, 543, 476, 1428, 630, 8993, 338, 269, 476, 272, 267, 476, 273, 1040, 898, 568, 3015, 676, 513, 476, 29121, 5998, 4155, 5087, 689, 6519, 1817, 572, 269, 634, 3803, 476, 4649, 5998, 568, 689, 25832, 267, 799, 568, 519, 14282, 1804, 4884, 543, 513, 6237, 6283, 543, 11889, 8998, 269, 25832, 568, 13883, 593, 519, 26791, 5211, 267, 835, 540, 519, 1292, 29815, 2456, 540, 519, 962, 4157, 517, 5211, 630, 8993, 338, 269, 476, 272, 267, 476, 273, 1040, 634, 8230, 334, 10830, 8805, 568, 827, 476, 4968, 5998, 5045, 540, 519, 11848, 17781, 543, 476, 3199, 5998, 5045, 540, 519, 4463, 540, 2244, 602, 24508, 519, 962, 4157, 517, 543, 27963, 20044, 773, 5211, 7297, 515, 1091, 269, 3345, 1922, 5217, 19527, 616, 1510, 24106, 585, 476, 1015, 4374, 1169, 5162, 269, 16680, 539, 5210, 693, 25832, 2039, 689, 910, 8287, 4113, 547, 1341, 3374, 9180, 11196, 11025, 4113, 547, 1341, 4817, 13790, 1070, 543, 5993, 13247, 25939, 827, 476, 2764, 4699, 267, 3368, 540, 799, 8813, 607, 6777, 269, 5147, 568, 519, 6632, 11687, 3923, 269, 2290, 540, 519, 1034, 16990, 20296, 2934, 568, 519, 13350, 5920, 540, 3636, 25590, 809, 262, 12798, 267, 2147, 547, 1346, 602, 1860, 2836, 326, 776, 267, 799, 9514, 2066, 689, 519, 7414, 5032, 1282, 5162, 543, 10393, 6318, 519, 5210, 13497, 563, 275, 962, 4157, 517, 24540, 7283, 5266, 9678, 2394, 519, 14522, 23681, 729, 3710, 630, 1721, 4108, 5301, 264, 538, 519, 2038, 476, 3707, 271, 338, 269, 634, 8230, 334, 10830, 8805, 729, 4448, 547, 519, 14522, 23681, 693, 6519, 1817, 572, 676, 606, 782, 32734, 1430, 19814, 538, 519, 476, 4198, 271, 338, 269, 13405, 547, 602, 267, 26708, 543, 18213, 3028, 547, 25832, 729, 1152, 2139, 593, 29523, 20253, 601, 9252, 2692, 1846, 538, 4832, 543, 7504, 1673, 22148, 11739, 662, 338, 538, 5162, 269, 5794, 3028, 547, 25832, 3459, 827, 476, 4350, 274, 543, 18213, 3028, 2968, 2139, 547, 3798, 3000, 2023, 676, 476, 4350, 278, 563, 276, 17652, 1310, 519, 476, 6245, 279, 28822, 1180, 833, 7108, 27538, 267, 972, 941, 936, 476, 1220, 16996, 540, 782, 7306, 593, 519, 962, 4157, 517, 5211, 1062, 282, 538, 1249, 267, 621, 1185, 811, 5757, 2692, 1846, 982, 1022, 3345, 1977, 5757, 4849, 519, 14967, 269, 634, 476, 10384, 5998, 7552, 689, 6519, 1817, 572, 547, 29861, 5459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1614, 3885, 602, 5030, 693, 713, 7542, 787, 269, 15531, 519, 7542, 787, 29539, 13615, 547, 519, 7262, 4871, 267, 32511, 664, 543, 1010, 13959, 7542, 3072, 936, 741, 9640, 543, 887, 1372, 593, 519, 10250, 269, 1358, 1185, 711, 8399, 539, 3368, 513, 13304, 2059, 519, 4626, 321, 1229, 5377, 267, 1354, 789, 941, 17991, 593, 676, 12075, 602, 2482, 538, 5605, 19895, 1228, 269, 6004, 269, 8479, 729, 8929, 593, 1010, 7504, 543, 8593, 267, 543, 519, 12075, 771, 6312, 3481, 1864, 543, 547, 516, 1055, 1010, 21435, 269, 32511, 664, 781, 7504, 729, 8929, 543, 8593, 267, 855, 646, 1185, 519, 4527, 540, 2247, 547, 12235, 1010, 521, 18150, 1532, 4711, 883, 519, 5394, 11453, 269, 1261, 23012, 538, 519, 18137, 267, 543, 10443, 609, 1390, 3432, 267, 609, 1896, 12075, 538, 29677, 269, 17652, 782, 8593, 1394, 855, 835, 267, 945, 729, 513, 588, 719, 267, 18942, 8284, 267, 543, 7902, 5462, 711, 547, 6336, 1010, 10352, 269, 661, 671, 269, 32511, 664, 729, 1958, 3518, 1229, 609, 513, 5394, 936, 1723, 520, 267, 12109, 13827, 593, 1010, 7953, 267, 543, 25192, 543, 838, 2720, 593, 1010, 3952, 634, 4095, 17991, 543, 14406, 1864, 267, 799, 5795, 1864, 942, 547, 12235, 1055, 1010, 10359, 267, 538, 13922, 519, 16101, 1131, 4482, 519, 3007, 540, 519, 5260, 720, 269, 15531, 519, 824, 12075, 1705, 711, 11654, 1864, 267, 646, 11124, 519, 835, 602, 16091, 1864, 547, 1935, 1369, 513, 1906, 3952, 267, 607, 646, 1500, 4191, 540, 21704, 532, 267, 543, 1287, 8263, 606, 10182, 540, 1219, 4800, 282, 4585, 519, 5163, 540, 1010, 10546, 267, 543, 267, 693, 519, 8216, 646, 17991, 267, 546, 17690, 519, 3440, 267, 543, 1287, 2322, 8521, 782, 1010, 1648, 547, 9101, 269, 834, 763, 16311, 4797, 585, 811, 982, 606, 5662, 267, 1282, 799, 1010, 535, 4141, 17991, 693, 1864, 5722, 2053, 269, 769, 835, 3236, 267, 607, 646, 28520, 1010, 6089, 4464, 547, 546, 17690, 519, 3440, 267, 646, 796, 3228, 25699, 2299, 28520, 1010, 23969, 1394, 543, 4607, 513, 4049, 10138, 538, 1010, 6186, 269, 4438, 519, 29677, 646, 4797, 547, 12235, 1055, 1010, 25192, 543, 838, 2720, 563, 5445, 1185, 1631, 1500, 9645, 3845, 538, 519, 4626, 321, 1229, 5377, 454, 663, 1524, 519, 5757, 269, 26744, 32511, 664, 267, 1373, 5176, 25356, 267, 2219, 519, 2063, 543, 1152, 4960, 540, 9101, 729, 547, 7669, 519, 5757, 269, 1261, 32168, 539, 538, 267, 1818, 519, 25932, 4674, 609, 1010, 6967, 4222, 267, 543, 2943, 646, 1185, 547, 1832, 606, 3750, 7683, 6378, 593, 1010, 530, 1176, 535, 4141, 267, 945, 1185, 16041, 1010, 7784, 512, 2041, 21632, 942, 267, 543, 689, 519, 4871, 4547, 621, 547, 513, 1093, 1047, 267, 543, 17991, 538, 513, 2034, 1310, 32511, 664, 1185, 798, 557, 538, 2620, 1216, 269, 1635, 10977, 25241, 958, 1524, 6908, 646, 3983, 6591, 593, 1010, 5083, 21838, 267, 945, 267, 609, 519, 15116, 586, 749, 593, 971, 14026, 267, 5795, 909, 519, 29677, 269, 8935, 23336, 1652, 1010, 1867, 547, 519, 2909, 1407, 729, 267, 602, 646, 1185, 4553, 513, 834, 15124, 6925, 257, 945, 729, 865, 19259, 539, 602, 1010, 1660, 8208, 11084, 1223, 711, 6146, 1864, 563, 16031, 269, 32511, 664, 267, 676, 4881, 11489, 513, 1527, 2224, 1086, 17508, 4988, 1864, 267, 543, 1287, 32168, 532, 883, 4411, 1216, 267, 729, 865, 669, 2683, 543, 25356, 602, 621, 729, 609, 519, 25932, 7411, 646, 1223, 31770, 909, 519, 4871, 269, 1261, 729, 6632, 267, 669, 2683, 267, 21354, 20754, 538, 1010, 6186, 267, 543, 8572, 547, 1796, 267, 2394, 267, 676, 12902, 5128, 593, 512, 2041, 2666, 543, 27012, 1010, 17873, 267, 1010, 1973, 3459, 547, 32694, 269, 898, 729, 13977, 19317, 5195, 31023, 547, 519, 14068, 326, 2917, 11175, 267, 1141, 26744, 6424, 14068, 326, 2917, 543, 1896, 23837, 3885, 759, 3660, 267, 543, 267, 1141, 26744, 32511, 664, 543, 1010, 10707, 13959, 1185, 13545, 3072, 593, 741, 1259, 856, 269, 2991, 6909, 4674, 543, 7092, 267, 646, 6603, 713, 11175, 512, 2041, 1985, 6640, 269, 3371, 267, 609, 1010, 20754, 6186, 543, 513, 4049, 8611, 267, 646, 2482, 1896, 4374, 267, 2394, 930, 540, 1010, 2828, 689, 519, 4425, 821, 781, 700, 1157, 2197, 3357, 543, 3576, 1864, 547, 1010, 1920, 269, 589, 5428, 540, 13538, 4682, 936, 519, 918, 2532, 2532, 807, 267, 12617, 6004, 269, 8479, 267, 1336, 26744, 32511, 664, 781, 521, 18150, 1532, 4711, 267, 609, 741, 9115, 2922, 267, 855, 4718, 1100, 12075, 563, 4322, 13685, 941, 1936, 730, 547, 519, 5856, 676, 519, 24123, 3411, 19907, 267, 855, 646, 1223, 711, 973, 565, 937, 7389, 543, 4408, 269, 1452, 594, 1336, 267, 609, 513, 2407, 21533, 540, 519, 1650, 267, 538, 513, 3758, 540, 519, 2025, 16713, 30657, 8291, 267, 540, 4728, 476, 736, 267, 476, 8687, 274, 563, 292, 19520, 32511, 664, 4397, 547, 4497, 538, 840, 2286, 519, 22258, 609, 811, 1990, 7002, 543, 15093, 267, 950, 646, 3893, 1010, 3296, 540, 2244, 17956, 543, 1010, 9283, 811, 3573, 267, 855, 594, 1185, 15991, 6603, 853, 269, 8402, 689, 1250, 5162, 781, 32751, 542, 267, 950, 594, 4121, 602, 2669, 1185, 8694, 782, 1010, 3618, 569, 4566, 256, 5637, 646, 543, 1010, 7385, 5747, 540, 519, 5162, 8611, 267, 610, 267, 607, 930, 1572, 621, 267, 5418, 9766, 344, 267, 538, 5988, 267, 476, 8687, 280, 267, 1369, 1614, 4374, 1310, 594, 5795, 873, 519, 851, 532, 1688, 563, 7628, 519, 2112, 519, 623, 2714, 578, 520, 558, 625, 267, 590, 3471, 267, 16737, 525, 267, 594, 578, 553, 267, 543, 918, 1157, 777, 30139, 267, 941, 519, 1244, 1042, 2209, 593, 519, 4425, 821, 781, 700, 1157, 17260, 269, 594, 15475, 519, 623, 2714, 578, 520, 558, 625, 1705, 827, 8370, 2389, 5460, 338, 540, 519, 3765, 27815, 269, 1358, 588, 1961, 827, 1614, 4627, 9640, 543, 7166, 782, 519, 12418, 543, 554, 9233, 789, 1223, 1265, 4881, 538, 519, 18137, 269, 3245, 476, 8687, 271, 547, 476, 8687, 274, 519, 13896, 1185, 547, 798, 741, 1378, 8165, 269, 634, 5418, 320, 540, 29583, 269, 20999, 729, 267, 602, 519, 6896, 8513, 6905, 1100, 2417, 7178, 982, 595, 25729, 15880, 267, 2907, 5018, 267, 543, 602, 519, 4425, 821, 781, 700, 1157, 17260, 941, 3564, 519, 16857, 10465, 269, 5272, 812, 543, 1169, 7911, 602, 1223, 4452, 513, 29461, 729, 513, 17199, 267, 543, 19801, 5128, 538, 835, 540, 519, 15321, 3549, 269, 1635, 2489, 1526, 550, 543, 1035, 17474, 2051, 269, 5484, 329, 269, 23101, 729, 19524, 2987, 268, 27815, 269, 590, 6702, 718, 23101, 267, 5261, 10361, 267, 543, 15537, 23045, 941, 4971, 619, 540, 585, 1206, 543, 851, 16388, 3401, 593, 1085, 719, 532, 6105, 269, 12650, 269, 590, 6702, 718, 23101, 729, 7166, 538, 1010, 19970, 267, 538, 23101, 781, 6830, 267, 835, 4158, 543, 7088, 344, 3781, 269, 589, 530, 1176, 4095, 267, 1282, 519, 6846, 540, 519, 2842, 543, 7088, 267, 1212, 696, 547, 519, 3774, 267, 1500, 606, 6679, 998, 519, 10036, 1063, 519, 20743, 267, 18923, 6190, 547, 16153, 519, 18665, 14794, 540, 1010, 29461, 267, 799, 646, 26809, 609, 14603, 6111, 693, 12650, 269, 23101, 267, 945, 2893, 676, 519, 3595, 609, 835, 1126, 538, 1010, 7916, 267, 602, 23012, 21379, 4669, 267, 1247, 519, 824, 1453, 941, 21514, 978, 532, 593, 519, 19970, 6989, 267, 543, 519, 1802, 560, 686, 748, 7385, 543, 3993, 729, 7722, 538, 6469, 11645, 538, 519, 1482, 4055, 563, 288, 2582, 11523, 540, 519, 29461, 543, 23101, 729, 21401, 593, 519, 6989, 256, 3571, 23258, 729, 1134, 1634, 547, 519, 12075, 282, 1010, 5578, 543, 22838, 1185, 1419, 9087, 6150, 519, 11029, 543, 30217, 748, 5260, 1137, 269, 634, 18272, 514, 1500, 1010, 9101, 538, 519, 14334, 543, 7088, 563, 2467, 941, 4557, 7606, 7166, 267, 693, 1114, 2053, 1282, 519, 2112, 267, 538, 519, 4425, 821, 781, 700, 1157, 17260, 267, 543, 5216, 610, 4557, 811, 538, 519, 700, 719, 516, 17260, 282, 519, 1034, 7074, 729, 12650, 269, 6276, 11910, 12537, 267, 4171, 2012, 814, 1044, 10419, 18050, 538, 519, 10315, 540, 11910, 12537, 563, 763, 7985, 902, 543, 3051, 725, 540, 519, 1004, 1705, 711, 1439, 609, 519, 2112, 269, 4438, 476, 8687, 276, 543, 476, 8687, 277, 267, 32164, 7847, 689, 17996, 267, 17906, 267, 543, 824, 2829, 267, 23953, 899, 513, 5614, 6360, 883, 519, 4425, 821, 781, 700, 1157, 2197, 267, 1851, 7247, 941, 1082, 19097, 1235, 269, 1809, 14074, 941, 17077, 267, 519, 2025, 13896, 1185, 711, 942, 547, 15313, 741, 6006, 267, 6862, 1223, 789, 11349, 8970, 538, 1022, 4110, 6190, 1547, 1721, 3694, 560, 4428, 269, 2353, 519, 8970, 602, 1223, 581, 12349, 538, 519, 2025, 454, 3553, 25557, 538, 853, 269, 8402, 543, 853, 269, 13378, 956, 17521, 729, 11751, 693, 513, 1164, 3902, 267, 543, 688, 27968, 689, 835, 4627, 543, 15823, 547, 1079, 4627, 5195, 547, 3049, 519, 5182, 1324, 21318, 269, 1656, 2943, 1082, 3885, 1185, 711, 513, 8970, 1673, 617, 3455, 610, 513, 11876, 1815, 820, 585, 1082, 3275, 563, 15124, 10761, 7173, 9229, 827, 2244, 2389, 527, 956, 269, 2986, 1576, 4984, 1500, 2370, 610, 1100, 3356, 269, 769, 519, 552, 2174, 775, 618, 540, 476, 8687, 279, 267, 2947, 1507, 23837, 13039, 1185, 606, 6228, 269, 634, 3169, 5712, 540, 741, 3919, 616, 711, 1634, 269, 1452, 941, 24398, 269, 27098, 267, 19270, 867, 267, 24398, 269, 20167, 9586, 267, 30561, 267, 543, 5975, 3559, 269, 1452, 13039, 2968, 8087, 538, 519, 24398, 269, 20167, 9586, 5948, 538, 476, 8687, 279, 267, 543, 1786, 628, 1066, 941, 4607, 607, 3190, 12310, 540, 19359, 689, 621, 538, 519, 5975, 3559, 267, 16713, 267, 543, 13325, 4889, 725, 563, 3528, 606, 6196, 27505, 518, 269, 32520, 7428, 267, 744, 262, 293, 718, 517, 3493, 582, 623, 269, 744, 1421, 7629, 269, 1547, 4989, 267, 476, 279, 628, 267, 476, 6977, 278, 454, 303, 269, 590, 269, 910, 769, 519, 1985, 543, 1739, 562, 333, 332, 1499, 649, 4927, 3136, 938, 3140, 543, 27367, 25780, 540, 16713, 19097, 1235, 269, 744, 269, 623, 563, 314, 21579, 3241, 670, 269, 16110, 267, 15503, 267, 4168, 3115, 12141, 267, 5181, 267, 476, 6977, 278, 267, 6032, 269, 476, 27005, 268, 29720, 269, 3690, 8282, 543, 1085, 10165, 676, 13343, 667, 12320, 718, 24358, 5415, 3627, 631, 269, 3212, 1188, 27084, 454, 29309, 14873, 23837, 3778, 12039, 454, 289, 2194, 626, 3778, 13067, 701, 720, 0, 16391, 5213, 566, 568, 519, 2259, 540, 23232, 2635, 8219, 689, 2901, 2713, 610, 513, 21549, 1480, 1373, 267, 5219, 547, 607, 513, 5213, 528, 267, 609, 519, 3483, 540, 13003, 532, 883, 513, 18579, 269, 634, 1184, 540, 23232, 519, 8219, 689, 513, 20033, 568, 1572, 23023, 563, 5278, 12700, 1299, 853, 1846, 593, 5029, 5213, 566, 912, 1700, 5029, 5213, 566, 4303, 568, 4767, 593, 519, 476, 1724, 628, 540, 4864, 1169, 1032, 563, 1700, 634, 2832, 568, 547, 18663, 2635, 1004, 547, 24946, 8219, 267, 543, 849, 547, 3262, 4656, 827, 519, 2956, 540, 1418, 21856, 563, 1700, 1306, 829, 513, 5619, 1867, 5018, 593, 519, 2817, 2657, 5800, 531, 630, 19328, 1070, 1169, 1032, 827, 476, 4335, 267, 1822, 1004, 5884, 1317, 540, 519, 1875, 268, 822, 22355, 540, 8219, 267, 476, 1220, 267, 1822, 1004, 5884, 1813, 547, 6797, 2068, 267, 543, 476, 2004, 267, 1822, 1004, 5884, 1317, 540, 2295, 2068, 269, 634, 1867, 849, 20186, 602, 936, 476, 5611, 267, 1822, 1004, 24098, 513, 8459, 13003, 1169, 1032, 856, 540, 799, 1152, 476, 276, 267, 1822, 1205, 1851, 873, 563, 1700, 634, 12080, 540, 2657, 1299, 7731, 28054, 9250, 519, 476, 277, 628, 2622, 543, 476, 272, 560, 4095, 5029, 5213, 566, 4303, 543, 5029, 5213, 566, 6837, 476, 1001, 271, 538, 1715, 16156, 269, 898, 2712, 2471, 1004, 689, 782, 2950, 547, 24946, 8219, 543, 948, 519, 15626, 2014, 540, 9494, 2729, 563, 2791, 949, 3277, 547, 938, 2063, 5816, 3823, 519, 2010, 540, 1418, 23190, 267, 922, 1184, 543, 945, 782, 666, 581, 22881, 563, 1103, 713, 5816, 267, 649, 786, 1865, 519, 1585, 8219, 799, 666, 581, 24603, 543, 519, 4031, 12044, 1418, 21856, 538, 3127, 563, 2467, 616, 476, 279, 1292, 4835, 8219, 799, 666, 581, 24603, 543, 1098, 680, 5896, 883, 519, 18579, 630, 777, 691, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10351, 13137, 630, 20791, 1093, 343, 19899, 6479, 29198, 941, 2016, 547, 2021, 543, 1453, 547, 2119, 543, 2759, 1524, 519, 2551, 1070, 8726, 621, 3576, 547, 1016, 16746, 543, 1205, 873, 856, 540, 519, 1259, 563, 295, 7159, 1014, 966, 617, 537, 568, 513, 4241, 5289, 2245, 3638, 609, 18428, 543, 9059, 267, 8964, 543, 19001, 267, 23929, 543, 31776, 269, 8616, 3544, 540, 27425, 267, 1985, 547, 1100, 835, 17358, 713, 7772, 748, 543, 7096, 1259, 540, 1272, 269, 23692, 20951, 1014, 966, 617, 537, 267, 631, 14781, 932, 7534, 570, 2335, 7710, 519, 3140, 5072, 543, 4207, 2853, 540, 713, 2189, 2245, 563, 14532, 269, 26499, 814, 621, 602, 10476, 781, 5169, 2482, 538, 519, 18900, 9769, 540, 22725, 7043, 2372, 534, 267, 3751, 540, 519, 7256, 267, 543, 30080, 3213, 267, 25905, 540, 519, 7663, 11798, 334, 1428, 2593, 1272, 729, 711, 865, 9132, 529, 673, 267, 607, 10476, 781, 2038, 1686, 734, 3697, 922, 2487, 1686, 734, 529, 6353, 676, 513, 5176, 6024, 6560, 585, 13190, 6185, 5877, 0, 29467, 12984, 12321, 1328, 899, 15887, 6798, 962, 320, 685, 26698, 990, 538, 519, 19940, 2622, 7536, 310, 1794, 3570, 779, 16113, 4971, 532, 5920, 3177, 519, 3501, 9311, 2939, 547, 1010, 5863, 7518, 1080, 269, 22252, 1218, 4766, 1864, 607, 7381, 267, 13747, 267, 3532, 267, 543, 3946, 727, 267, 609, 4158, 267, 17953, 344, 267, 1134, 3766, 3336, 539, 4552, 267, 1804, 22815, 1424, 4064, 267, 543, 2960, 989, 869, 609, 1272, 543, 21755, 269, 2060, 1010, 3532, 1560, 543, 3946, 727, 5920, 267, 646, 7902, 865, 32249, 602, 1082, 2219, 1864, 2150, 31189, 676, 942, 281, 968, 310, 1794, 3570, 6854, 1010, 5654, 2394, 1010, 2669, 281, 1010, 4137, 543, 5920, 4769, 1406, 1689, 1765, 515, 5747, 538, 1010, 6305, 267, 7381, 543, 2178, 269, 1403, 596, 1185, 2938, 1864, 267, 596, 1131, 1589, 646, 729, 1152, 8938, 3034, 14367, 10058, 3043, 9660, 3773, 2417, 547, 1010, 513, 3120, 540, 6264, 16725, 269, 654, 1794, 3570, 267, 607, 649, 917, 267, 20595, 3043, 1510, 3111, 267, 543, 1010, 9660, 941, 2141, 29814, 269, 3571, 2699, 13545, 2692, 9655, 267, 799, 9039, 540, 519, 824, 7642, 20595, 267, 4334, 539, 25921, 609, 519, 3043, 540, 1010, 23157, 269, 898, 568, 711, 9670, 602, 930, 3379, 654, 1794, 3570, 779, 5920, 547, 602, 540, 513, 4622, 269, 18841, 372, 353, 3570, 22084, 330, 10042, 267, 1010, 3448, 267, 729, 1360, 6109, 593, 713, 6060, 281, 968, 8855, 15011, 25428, 1714, 268, 21681, 353, 600, 529, 1496, 300, 2129, 25428, 966, 267, 4651, 540, 3751, 18841, 372, 353, 28045, 4083, 316, 286, 4270, 267, 654, 1794, 3570, 21039, 1175, 899, 602, 1848, 654, 1794, 3570, 2968, 513, 2203, 585, 519, 2199, 7642, 1813, 547, 1010, 20174, 547, 11755, 543, 1010, 5920, 269, 1677, 5360, 2939, 2576, 779, 5920, 267, 789, 1767, 281, 968, 2791, 1413, 899, 654, 1794, 3570, 3034, 297, 644, 3101, 676, 519, 5409, 321, 1961, 267, 8823, 540, 654, 1794, 3570, 723, 711, 1044, 3897, 4364, 676, 942, 282, 519, 14669, 5526, 3020, 267, 942, 814, 1152, 5280, 547, 4870, 622, 1010, 2907, 3677, 31032, 3734, 17114, 269, 968, 2791, 723, 2760, 2938, 4376, 899, 15887, 6798, 962, 320, 685, 26698, 990, 2223, 10294, 835, 4807, 267, 968, 527, 729, 7487, 519, 10143, 4527, 630, 9917, 16223, 2088, 1070, 621, 729, 3168, 2390, 18710, 267, 621, 729, 513, 10508, 547, 1413, 693, 1864, 269, 3571, 3068, 729, 899, 9478, 538, 519, 6426, 1650, 267, 596, 7948, 1406, 1413, 693, 1864, 2786, 1848, 272, 25126, 3116, 16079, 539, 713, 6249, 540, 513, 18710, 1932, 4190, 547, 14719, 622, 281, 968, 3891, 729, 865, 4075, 6681, 267, 865, 546, 9579, 1782, 267, 596, 7948, 1406, 1413, 883, 1010, 3068, 19962, 547, 1010, 1352, 16223, 2088, 269, 1411, 1185, 547, 979, 899, 713, 2223, 543, 1352, 13147, 539, 15720, 1200, 4064, 563, 16914, 558, 11952, 532, 654, 1794, 3570, 779, 24112, 4302, 1628, 267, 1434, 5654, 267, 543, 15999, 7802, 941, 14222, 2123, 7907, 269, 1261, 568, 17814, 607, 7874, 267, 1914, 762, 267, 1256, 2389, 11391, 1229, 267, 543, 1434, 3620, 636, 1819, 281, 968, 515, 729, 2653, 547, 1205, 593, 609, 267, 596, 1223, 24983, 1472, 609, 1864, 1848, 15887, 6798, 1744, 531, 558, 5484, 268, 21681, 353, 30790, 3379, 654, 1794, 3570, 547, 1010, 2895, 15180, 15887, 6798, 26512, 268, 21681, 353, 1846, 5028, 281, 968, 5445, 941, 519, 1482, 4463, 267, 1482, 4560, 267, 789, 20595, 519, 1482, 2511, 540, 581, 731, 1848, 634, 16726, 7475, 972, 269, 769, 4334, 547, 519, 7873, 525, 322, 2056, 543, 688, 7676, 1399, 15887, 6798, 962, 846, 325, 267, 968, 310, 1794, 3570, 729, 2141, 544, 11274, 583, 1496, 327, 7026, 543, 1543, 3910, 2141, 32127, 269, 1261, 729, 17159, 543, 711, 818, 5766, 656, 267, 2141, 4712, 609, 513, 14902, 267, 609, 2021, 267, 1453, 267, 29240, 267, 16764, 17373, 4935, 654, 1794, 3570, 568, 4843, 607, 1524, 3562, 268, 24160, 267, 1914, 762, 267, 513, 1434, 13959, 267, 2186, 27329, 267, 1930, 267, 543, 27507, 540, 782, 11348, 610, 688, 9853, 1465, 269, 634, 1217, 1218, 941, 3226, 13351, 676, 1010, 18515, 547, 581, 23136, 3025, 646, 1558, 267, 1510, 18731, 1010, 15683, 538, 519, 2547, 269, 968, 2791, 1223, 1205, 2673, 547, 1864, 2223, 11943, 15887, 6798, 26826, 18637, 2967, 267, 968, 515, 1185, 513, 2603, 540, 2648, 585, 1004, 1848, 2290, 4082, 540, 713, 2648, 729, 519, 1390, 11587, 646, 4951, 282, 8726, 3357, 1010, 1259, 267, 2436, 1990, 2131, 327, 583, 1285, 582, 23190, 267, 610, 12375, 585, 7067, 543, 2820, 1588, 267, 646, 1031, 547, 7941, 796, 1345, 880, 569, 1851, 1010, 2828, 563, 305, 629, 6798, 962, 320, 685, 26698, 990, 10150, 1272, 267, 543, 9833, 519, 31070, 540, 2828, 267, 513, 11480, 540, 513, 21531, 267, 12608, 1944, 1426, 267, 543, 513, 7274, 540, 6216, 539, 13189, 607, 513, 10862, 269, 968, 4263, 3781, 267, 646, 2893, 609, 13189, 267, 10269, 543, 513, 21531, 267, 2653, 267, 2653, 267, 2653, 269, 3143, 19048, 267, 4687, 3388, 646, 1185, 269, 1261, 4769, 1406, 899, 2724, 267, 1175, 513, 1434, 942, 281, 547, 4235, 543, 581, 6126, 269, 5272, 7853, 6068, 1864, 1765, 20791, 1453, 543, 29240, 607, 1134, 269, 2201, 1010, 12599, 267, 2021, 1131, 588, 732, 998, 741, 9486, 267, 10912, 547, 835, 1776, 281, 2048, 310, 1794, 3570, 779, 6972, 676, 10200, 892, 1261, 2322, 1100, 4674, 883, 2724, 610, 3959, 267, 4352, 713, 729, 5693, 606, 2139, 4781, 269, 1306, 2576, 1767, 267, 968, 300, 2292, 3357, 3362, 267, 1496, 8117, 316, 646, 4769, 1406, 1616, 6266, 540, 2724, 267, 646, 7012, 1406, 1310, 2724, 267, 646, 7012, 1406, 5461, 538, 513, 2713, 1848, 2353, 519, 1482, 267, 646, 2760, 4682, 1510, 267, 1010, 2828, 19914, 569, 3246, 782, 1010, 1158, 569, 2115, 281, 968, 3891, 1185, 1100, 3959, 610, 1870, 267, 855, 646, 2141, 5030, 2463, 2406, 269, 2507, 5272, 3602, 646, 4682, 267, 789, 5795, 1864, 1018, 646, 2877, 1848, 634, 1217, 1218, 2283, 539, 602, 654, 1794, 3570, 779, 6197, 729, 11461, 811, 676, 1514, 25372, 982, 676, 3351, 9107, 9270, 281, 968, 3891, 6068, 17409, 267, 2828, 267, 2348, 513, 1434, 942, 267, 891, 941, 1010, 10508, 269, 1403, 646, 24714, 585, 2724, 646, 1223, 723, 1044, 21950, 982, 4896, 282, 855, 1018, 1705, 646, 1416, 18313, 305, 629, 6798, 26826, 18637, 2967, 7396, 15887, 6798, 962, 320, 685, 26698, 990, 779, 1034, 17736, 545, 6681, 7907, 281, 968, 3891, 4769, 1406, 4250, 4376, 267, 646, 4769, 1406, 1416, 827, 4376, 267, 543, 646, 4769, 1406, 991, 4376, 1848, 634, 1101, 17613, 654, 1794, 3570, 779, 8966, 4110, 540, 10100, 267, 513, 3119, 7209, 16023, 827, 799, 2282, 796, 29434, 748, 6876, 11478, 1851, 519, 1217, 1218, 269, 634, 2034, 4145, 1010, 3592, 2698, 7115, 689, 1514, 13800, 543, 14908, 9789, 3668, 540, 513, 1920, 547, 5855, 827, 610, 3959, 547, 2149, 269, 634, 3791, 782, 26360, 547, 654, 1794, 3570, 779, 1434, 1272, 267, 1010, 2972, 906, 267, 519, 1259, 646, 23699, 519, 5418, 9778, 540, 519, 4090, 267, 3768, 626, 32328, 676, 971, 27217, 2152, 607, 4747, 610, 1920, 269, 15887, 6798, 18637, 2967, 849, 5219, 547, 15887, 6798, 962, 320, 685, 26698, 990, 779, 1455, 5905, 543, 552, 6549, 9107, 6073, 281, 968, 2467, 729, 18864, 899, 15887, 6798, 962, 320, 685, 26698, 990, 9170, 269, 1261, 1185, 519, 5920, 540, 513, 1390, 14558, 328, 267, 711, 513, 2241, 812, 282, 855, 646, 4769, 1406, 25858, 5128, 909, 610, 979, 1472, 6031, 267, 2048, 296, 4076, 2944, 713, 2560, 594, 6557, 2469, 547, 798, 602, 10200, 1403, 596, 4280, 1864, 267, 646, 1131, 2161, 267, 2048, 296, 993, 513, 2241, 812, 267, 594, 6557, 899, 596, 267, 1175, 737, 27570, 609, 1004, 267, 594, 6557, 513, 20027, 18560, 10200, 892, 15887, 6798, 962, 320, 685, 26698, 990, 779, 3810, 9833, 1920, 267, 543, 1010, 10639, 607, 606, 9631, 30876, 582, 550, 12115, 518, 12006, 1010, 3668, 540, 5910, 3290, 543, 2241, 2081, 1256, 811, 563, 763, 28986, 543, 4715, 8163, 654, 1794, 3570, 3812, 585, 1010, 2828, 849, 8329, 547, 1010, 8560, 269, 654, 1794, 3570, 729, 606, 12473, 675, 534, 945, 2760, 19847, 936, 2298, 10269, 267, 513, 21531, 267, 1426, 267, 610, 4235, 1765, 16838, 952, 7727, 941, 32311, 539, 269, 1403, 9039, 941, 2139, 267, 646, 1131, 1118, 873, 2408, 269, 901, 2702, 267, 799, 16002, 923, 1131, 14962, 607, 8580, 1005, 610, 11739, 697, 540, 1688, 267, 729, 267, 538, 519, 4064, 540, 1010, 2828, 267, 3501, 6169, 540, 654, 1794, 3570, 779, 29686, 936, 519, 1629, 976, 281, 968, 763, 3283, 689, 2630, 1765, 20130, 7385, 543, 1453, 1765, 321, 3754, 1864, 1919, 1848, 6270, 28986, 267, 799, 1082, 3750, 2914, 5893, 525, 4080, 267, 941, 20244, 1360, 1114, 689, 519, 7067, 6411, 799, 2408, 2663, 538, 713, 1433, 267, 4352, 519, 8545, 1932, 3238, 1629, 4577, 5698, 269, 769, 7067, 267, 654, 1794, 3570, 7152, 16854, 10100, 267, 8990, 267, 543, 18094, 269, 3571, 2238, 941, 1419, 4330, 538, 519, 10565, 1893, 540, 6927, 540, 1272, 543, 2669, 269, 769, 4334, 267, 654, 1794, 3570, 1031, 1010, 7060, 13998, 538, 513, 1769, 27329, 267, 9992, 643, 565, 748, 1259, 267, 547, 3132, 519, 2186, 540, 13300, 602, 14183, 519, 6492, 19512, 563, 310, 1794, 3570, 779, 2648, 540, 4508, 528, 12462, 288, 21531, 729, 1010, 1272, 267, 855, 646, 2760, 3893, 26583, 267, 24656, 17246, 573, 17373, 1070, 543, 922, 1271, 1909, 538, 1010, 1514, 1272, 267, 6941, 1946, 1034, 540, 1010, 905, 1846, 4125, 513, 21531, 269, 898, 568, 1767, 602, 8164, 646, 10443, 856, 540, 4235, 267, 646, 1131, 1491, 606, 8900, 11480, 267, 6445, 621, 609, 2724, 543, 3382, 621, 609, 513, 12308, 269, 3973, 267, 609, 513, 21707, 267, 646, 20114, 519, 11480, 547, 7866, 621, 1490, 21148, 609, 513, 21531, 269, 19452, 267, 646, 1131, 25579, 880, 1010, 2828, 685, 13189, 267, 7401, 267, 20511, 838, 3419, 338, 267, 1426, 267, 543, 4235, 269, 1261, 1185, 519, 4356, 540, 726, 31902, 13189, 1765, 2108, 290, 14505, 22505, 267, 519, 1655, 538, 25448, 892, 1765, 5228, 519, 26642, 540, 1010, 2828, 685, 9660, 267, 945, 1131, 1287, 2220, 792, 789, 1185, 1100, 13189, 593, 873, 269, 1403, 646, 5433, 899, 7401, 646, 1131, 22850, 519, 3774, 543, 513, 2848, 5446, 751, 777, 582, 267, 609, 2614, 11680, 585, 3025, 267, 1131, 2408, 269, 1403, 646, 5433, 899, 20511, 585, 1010, 7401, 267, 968, 515, 1131, 1224, 1945, 2223, 543, 513, 838, 3419, 540, 20511, 1131, 13743, 1524, 689, 519, 18109, 610, 1402, 909, 538, 513, 7944, 540, 519, 4055, 269, 1635, 27012, 1010, 3946, 1927, 267, 2879, 4428, 610, 993, 828, 1131, 2408, 689, 24076, 563, 1103, 845, 1218, 11291, 654, 1794, 3570, 779, 2919, 2631, 540, 4023, 1404, 281, 875, 646, 2760, 3576, 4896, 779, 13189, 610, 4235, 1510, 9104, 908, 873, 269, 1879, 513, 968, 341, 1112, 574, 892, 4362, 519, 2530, 540, 930, 2376, 267, 519, 2953, 2724, 1131, 2141, 581, 972, 538, 13180, 269, 2201, 519, 824, 1688, 267, 646, 1185, 1100, 4018, 916, 827, 5309, 5109, 4896, 945, 15189, 1010, 7569, 269, 12267, 32736, 540, 875, 646, 1500, 513, 21531, 14897, 689, 519, 561, 731, 518, 540, 9395, 325, 13554, 2828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 273, 269, 24434, 1590, 585, 338, 820, 679, 706, 4370, 538, 9698, 26256, 622, 7405, 610, 4758, 5492, 515, 322, 566, 585, 23019, 7192, 3225, 3386, 676, 2421, 19079, 9698, 21907, 13927, 1076, 839, 7986, 22973, 1399, 547, 513, 4439, 5652, 2450, 269, 901, 568, 3409, 323, 547, 5431, 542, 3247, 2457, 540, 519, 7986, 269, 476, 274, 269, 24434, 1745, 547, 946, 29134, 8474, 538, 741, 10639, 547, 824, 1253, 650, 762, 3413, 320, 2231, 29343, 8076, 1629, 525, 928, 267, 4670, 1272, 267, 3092, 269, 6684, 789, 1590, 581, 3063, 10800, 731, 569, 8580, 15802, 30260, 1253, 650, 762, 19736, 607, 605, 29091, 12519, 585, 10639, 269, 476, 275, 563, 289, 3471, 1590, 1191, 3164, 524, 913, 339, 9153, 8088, 725, 543, 10514, 731, 906, 547, 513, 13581, 2600, 676, 2421, 19079, 7986, 22973, 1399, 538, 538, 1260, 11772, 633, 9153, 8088, 725, 568, 561, 1993, 17213, 982, 519, 524, 913, 339, 9153, 8088, 725, 269, 476, 276, 269, 1323, 10262, 569, 4758, 16517, 5492, 515, 322, 725, 267, 8492, 1590, 1745, 513, 8116, 995, 6228, 21391, 593, 519, 10639, 10290, 1465, 540, 519, 6180, 326, 698, 832, 547, 32158, 9309, 519, 5492, 515, 322, 566, 593, 1974, 269, 476, 277, 269, 24434, 1590, 533, 572, 4038, 4369, 513, 12581, 1490, 1074, 28571, 656, 741, 28858, 1025, 1868, 593, 929, 28619, 16531, 338, 543, 8088, 725, 269, 645, 274, 269, 17649, 2975, 717, 4629, 310, 8025, 281, 24434, 1745, 513, 11160, 13831, 1909, 547, 18613, 538, 519, 2804, 4829, 540, 519, 6891, 1652, 17314, 998, 2804, 7693, 540, 782, 519, 9922, 269, 9747, 267, 789, 1590, 3858, 24395, 622, 10639, 547, 7693, 531, 543, 15417, 2238, 982, 1875, 1922, 1068, 850, 610, 18820, 20218, 2238, 563, 15368, 1227, 972, 616, 1614, 2093, 540, 7693, 531, 2238, 268, 10089, 5652, 7986, 8704, 1351, 335, 29793, 877, 2238, 267, 20208, 610, 13581, 7986, 8704, 11036, 5823, 2238, 543, 6928, 14025, 17330, 652, 1145, 269, 513, 269, 2910, 14641, 3036, 12442, 590, 17614, 3036, 268, 1230, 329, 15802, 7616, 7693, 531, 2238, 267, 8492, 13720, 621, 8897, 762, 547, 3858, 10639, 547, 4439, 5652, 7986, 8704, 5413, 1818, 11949, 1023, 538, 1272, 1299, 13567, 676, 2421, 19079, 1974, 569, 32158, 9309, 618, 540, 10639, 1208, 323, 5300, 676, 873, 705, 871, 513, 8580, 15802, 28858, 568, 5702, 1202, 3293, 269, 8750, 532, 568, 3409, 323, 711, 13385, 569, 585, 11949, 1023, 855, 865, 585, 824, 9922, 29343, 1272, 267, 13567, 267, 642, 773, 267, 5989, 267, 679, 9545, 7321, 267, 8027, 267, 32022, 267, 8804, 267, 2029, 267, 3092, 543, 519, 8492, 666, 711, 24395, 520, 601, 809, 835, 5823, 693, 519, 7979, 599, 540, 519, 824, 269, 14755, 267, 1351, 335, 29793, 877, 5823, 3549, 865, 1745, 519, 15421, 547, 5431, 542, 922, 7986, 771, 652, 9851, 539, 610, 5721, 7482, 689, 519, 1455, 21907, 676, 29307, 741, 1378, 3728, 523, 902, 563, 1103, 824, 4497, 906, 789, 798, 711, 22036, 8185, 593, 8492, 585, 741, 7986, 3409, 906, 1141, 607, 1866, 8185, 22036, 593, 8492, 269, 9747, 267, 8492, 1590, 946, 741, 929, 28619, 8580, 15802, 14045, 21159, 585, 1351, 335, 29793, 877, 10639, 269, 10089, 5652, 7986, 3549, 267, 4183, 569, 1272, 31026, 576, 547, 519, 2804, 4829, 540, 519, 6891, 1652, 17314, 711, 13385, 569, 676, 2810, 1976, 790, 531, 332, 855, 865, 676, 2810, 2816, 3255, 269, 1809, 741, 2620, 8749, 3724, 568, 602, 789, 616, 10416, 5413, 20218, 543, 7693, 568, 513, 676, 28237, 540, 741, 17330, 652, 1145, 269, 1358, 616, 513, 2091, 547, 7196, 883, 1875, 268, 7349, 720, 9922, 602, 616, 12007, 585, 513, 26246, 518, 17763, 2213, 4829, 540, 7006, 18730, 269, 536, 269, 623, 6020, 3036, 14510, 590, 17614, 3036, 268, 1280, 782, 15778, 543, 8076, 7693, 972, 616, 538, 4186, 549, 3200, 1043, 11036, 9922, 540, 519, 6891, 1652, 17314, 602, 3409, 7616, 1394, 766, 676, 519, 8492, 563, 5445, 616, 268, 1102, 3433, 868, 675, 7693, 29343, 8027, 267, 2909, 342, 331, 543, 8116, 995, 11071, 5958, 267, 32022, 267, 679, 9545, 7321, 267, 3092, 269, 607, 1330, 974, 748, 15515, 6409, 539, 15515, 6409, 539, 607, 13581, 1166, 820, 1272, 267, 13567, 267, 2029, 267, 9393, 787, 267, 3092, 269, 3245, 519, 5413, 5133, 891, 11036, 9922, 949, 711, 581, 1505, 545, 569, 3730, 269, 898, 3489, 711, 581, 1505, 545, 569, 8897, 762, 585, 891, 9922, 2901, 547, 5431, 542, 741, 7986, 610, 14487, 689, 1455, 21907, 282, 789, 22036, 8185, 593, 8492, 585, 741, 7986, 3409, 906, 269, 681, 10292, 814, 32486, 476, 2412, 260, 540, 519, 2040, 10639, 540, 782, 18756, 1299, 1592, 323, 8492, 543, 476, 3953, 260, 585, 9813, 8492, 2509, 11036, 5823, 598, 1027, 4370, 269, 24434, 616, 20496, 539, 547, 679, 16746, 538, 1808, 3728, 523, 902, 610, 10514, 731, 618, 7405, 540, 891, 9922, 547, 4497, 891, 3409, 906, 269, 524, 269, 589, 16165, 2975, 17109, 13543, 590, 17614, 3036, 568, 9108, 513, 2706, 11036, 5823, 563, 2005, 1590, 1303, 823, 1808, 28858, 540, 519, 8492, 676, 2421, 19079, 29134, 2953, 1145, 538, 4237, 10474, 814, 547, 581, 513, 1283, 11036, 540, 1022, 6891, 1652, 17314, 269, 1133, 549, 1324, 1976, 790, 531, 332, 568, 20049, 762, 569, 13777, 850, 693, 9803, 538, 4095, 5888, 269, 590, 2775, 543, 20208, 6705, 22132, 18900, 7899, 547, 2844, 676, 2421, 19079, 741, 1179, 604, 673, 642, 773, 538, 796, 549, 1324, 1976, 790, 531, 332, 4991, 873, 1100, 7254, 794, 766, 269, 7102, 824, 1976, 790, 531, 332, 666, 3180, 267, 711, 1426, 282, 621, 814, 547, 581, 12090, 22228, 547, 519, 2551, 3352, 7758, 894, 540, 519, 8532, 269, 1280, 519, 29134, 1345, 13678, 1791, 18505, 267, 23693, 616, 3246, 21856, 543, 1201, 12099, 6703, 585, 9393, 787, 269, 24434, 1590, 4368, 602, 519, 10504, 2640, 8076, 569, 12492, 519, 20208, 543, 13581, 6705, 269, 546, 269, 12327, 303, 18306, 590, 17614, 3036, 568, 711, 606, 3621, 5823, 29343, 1351, 335, 29793, 877, 610, 11036, 5823, 563, 2005, 666, 2893, 23847, 1000, 664, 1351, 335, 29793, 877, 607, 1330, 974, 748, 15515, 6409, 539, 15515, 6409, 539, 607, 11036, 9922, 269, 8859, 625, 540, 519, 7122, 616, 865, 22524, 8817, 602, 1142, 14574, 1590, 1745, 7899, 21183, 1145, 338, 538, 519, 19728, 540, 824, 679, 10179, 831, 625, 547, 2628, 519, 14213, 1087, 585, 1196, 17156, 1208, 323, 5300, 689, 1346, 679, 10179, 831, 625, 269, 769, 922, 11234, 1145, 789, 1439, 909, 538, 15038, 9813, 1945, 268, 16746, 799, 538, 11651, 613, 814, 513, 8532, 676, 1259, 540, 28858, 282, 610, 3116, 789, 1439, 909, 538, 15723, 1154, 6891, 1652, 17314, 779, 4154, 21183, 1145, 338, 269, 1403, 513, 14574, 679, 706, 637, 593, 9813, 1196, 17156, 267, 621, 1590, 5968, 7381, 11036, 547, 6928, 1790, 1238, 806, 547, 602, 14574, 547, 6166, 741, 26246, 518, 17763, 1047, 540, 5277, 566, 269, 769, 971, 513, 4332, 8492, 1590, 15292, 538, 547, 3858, 10639, 547, 6928, 14025, 2238, 538, 513, 13603, 1042, 31566, 547, 5431, 542, 26246, 344, 779, 21183, 1145, 338, 538, 602, 9860, 269, 595, 563, 300, 8085, 2316, 303, 4041, 10911, 3633, 3951, 595, 3918, 9569, 281, 1703, 616, 1079, 12220, 593, 2436, 8492, 666, 22132, 10639, 268, 3040, 2290, 5619, 4371, 676, 19124, 23516, 568, 602, 8492, 666, 711, 22132, 9860, 856, 540, 803, 4526, 2011, 269, 1358, 666, 598, 1027, 324, 1018, 789, 1745, 538, 9860, 269, 3040, 6271, 5619, 4371, 676, 19134, 2917, 31864, 1667, 568, 602, 8492, 666, 22132, 10639, 676, 1455, 532, 513, 929, 28619, 16531, 552, 27238, 344, 1974, 789, 3446, 513, 5492, 515, 322, 566, 269, 898, 568, 28858, 532, 547, 1174, 602, 538, 606, 4693, 547, 533, 572, 4038, 4369, 9803, 1860, 569, 642, 664, 9860, 267, 8492, 1439, 909, 538, 2810, 519, 9860, 538, 642, 4084, 705, 871, 513, 8580, 15802, 719, 2810, 15754, 622, 9860, 9860, 8580, 15802, 2870, 10639, 256, 769, 632, 539, 267, 10639, 7242, 568, 835, 540, 519, 1034, 14064, 1881, 5751, 540, 513, 20049, 762, 4871, 269, 1358, 5431, 542, 519, 11449, 32022, 540, 5198, 269, 2913, 721, 1294, 875, 1281, 713, 2706, 1597, 324, 269, 595, 272, 563, 300, 24518, 7495, 281, 1879, 4871, 31825, 513, 5492, 515, 322, 566, 621, 840, 23418, 4680, 602, 4871, 814, 9860, 998, 929, 28619, 16531, 338, 269, 3245, 519, 929, 28619, 16531, 4871, 31825, 5492, 515, 322, 566, 799, 538, 11651, 613, 4991, 929, 28619, 16531, 539, 538, 519, 4871, 6041, 269, 898, 24865, 606, 10697, 607, 1330, 974, 748, 15515, 6409, 539, 15515, 6409, 539, 607, 513, 929, 28619, 16531, 705, 871, 513, 8580, 15802, 519, 4871, 269, 634, 18689, 10706, 6075, 666, 1139, 7163, 640, 1750, 13196, 585, 5277, 725, 538, 1964, 3191, 547, 519, 1351, 17763, 2246, 5782, 545, 5561, 945, 1745, 2707, 958, 929, 28619, 16531, 539, 519, 9860, 269, 4935, 9860, 20009, 538, 642, 4084, 21603, 569, 1531, 7174, 24395, 622, 982, 519, 6662, 15754, 622, 9860, 9860, 269, 901, 568, 519, 5619, 540, 642, 773, 762, 4871, 619, 269, 22493, 7151, 281, 2913, 721, 25370, 9150, 602, 938, 14574, 814, 13385, 569, 835, 4871, 645, 543, 782, 519, 4961, 616, 8185, 883, 12948, 1818, 519, 9860, 3409, 618, 540, 645, 18900, 476, 1015, 18336, 289, 4991, 2040, 1289, 16519, 929, 28619, 16531, 540, 681, 269, 476, 1911, 876, 543, 602, 568, 519, 13385, 569, 9860, 538, 642, 4084, 538, 938, 14574, 269, 22388, 17763, 1047, 7173, 541, 1709, 540, 645, 3489, 19586, 607, 605, 4944, 619, 281, 1923, 299, 296, 5723, 6579, 296, 25765, 1923, 3008, 10345, 4811, 1923, 1923, 12831, 657, 1080, 476, 1911, 876, 1923, 290, 1662, 538, 4518, 2006, 476, 1911, 876, 1923, 1923, 307, 5588, 3201, 476, 1911, 876, 1923, 307, 5588, 3201, 476, 1911, 876, 1923, 645, 814, 547, 533, 572, 4038, 4369, 476, 1015, 260, 540, 922, 929, 28619, 16531, 540, 476, 1911, 876, 799, 568, 476, 1911, 271, 607, 9860, 21183, 1145, 269, 898, 10522, 602, 645, 666, 5968, 476, 12010, 271, 607, 5492, 515, 322, 566, 269, 898, 24865, 606, 1964, 6627, 929, 28619, 16531, 607, 621, 568, 5950, 547, 519, 929, 28619, 16531, 6041, 8580, 15802, 2870, 513, 10639, 540, 476, 12010, 271, 543, 519, 1007, 26246, 518, 17763, 1047, 7173, 541, 1709, 3489, 19586, 3976, 281, 22244, 5723, 6579, 296, 25765, 1923, 3008, 10345, 4811, 1923, 1923, 12831, 657, 1080, 476, 5002, 876, 1923, 290, 1662, 538, 4518, 2006, 476, 1911, 876, 1923, 1923 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 14852, 1070, 543, 519, 681, 17526, 630, 1492, 16628, 1040, 6201, 540, 891, 538, 4207, 4670, 2528, 616, 10060, 12668, 262, 3197, 267, 19279, 21708, 19769, 518, 607, 519, 26735, 12510, 630, 3534, 633, 543, 21039, 538, 3043, 1070, 15454, 15515, 12023, 5136, 328, 8862, 534, 8230, 11893, 607, 519, 590, 720, 267, 12390, 3752, 334, 607, 519, 4934, 18721, 267, 543, 11023, 628, 966, 14575, 607, 519, 681, 17526, 269, 27173, 1013, 518, 568, 849, 2111, 547, 4019, 891, 18840, 18196, 547, 2575, 269, 1280, 1383, 267, 7033, 17755, 3863, 781, 5152, 23875, 1677, 12603, 1280, 2934, 519, 15669, 607, 513, 590, 720, 945, 3947, 1010, 7326, 547, 513, 26583, 9920, 269, 769, 17491, 1633, 781, 898, 19732, 839, 519, 15669, 3217, 519, 1909, 540, 606, 26735, 12510, 538, 1200, 10182, 4724, 1272, 563, 288, 1895, 540, 3173, 1291, 676, 3220, 269, 15535, 7137, 985, 5342, 1382, 693, 2506, 800, 2160, 3427, 540, 6925, 593, 10708, 267, 6502, 476, 1321, 268, 1704, 267, 1210, 6419, 16982, 9196, 630, 28122, 1040, 634, 3173, 1031, 19939, 29364, 24056, 689, 13164, 593, 631, 903, 10628, 543, 6027, 519, 5778, 6798, 1670, 6114, 547, 519, 8964, 269, 634, 5171, 941, 4280, 547, 2557, 1142, 5152, 593, 513, 4336, 540, 835, 547, 2947, 269, 634, 13164, 1185, 711, 1831, 2442, 2943, 543, 9039, 540, 519, 8964, 1185, 5750, 539, 593, 519, 9291, 4580, 12125, 269, 20323, 267, 519, 1239, 689, 519, 1353, 729, 5921, 547, 6218, 7141, 29077, 950, 2016, 741, 9905, 262, 8369, 540, 1142, 5152, 269, 1717, 267, 950, 7137, 985, 11117, 519, 1239, 1296, 2663, 267, 646, 4857, 513, 19250, 1713, 9756, 1063, 16045, 781, 5778, 6798, 1670, 6114, 543, 1142, 5152, 781, 6455, 5515, 689, 476, 1220, 278, 547, 476, 1001, 271, 269, 7137, 985, 7150, 267, 834, 763, 2634, 6114, 1223, 3589, 827, 835, 21017, 540, 519, 8964, 602, 1131, 5555, 979, 593, 547, 6133, 811, 982, 476, 736, 267, 1822, 4559, 1701, 634, 16045, 781, 16863, 689, 835, 547, 2947, 2705, 1705, 711, 30136, 269, 634, 2164, 540, 713, 1353, 2303, 621, 949, 581, 2009, 547, 946, 17916, 6114, 689, 513, 3732, 540, 1004, 2066, 519, 2551, 547, 3589, 5010, 1967, 540, 513, 5152, 630, 27839, 6807, 476, 1001, 272, 1916, 16920, 1026, 2373, 585, 713, 1353, 941, 16432, 689, 519, 9291, 4580, 12182, 476, 1911, 12125, 1336, 2228, 693, 5291, 2517, 4178, 12500, 650, 4580, 2593, 269, 634, 9291, 4580, 12182, 476, 1911, 5750, 16034, 519, 8560, 540, 2206, 956, 538, 782, 11964, 538, 519, 2136, 2276, 267, 5356, 606, 2872, 6444, 1239, 1448, 547, 2697, 519, 5010, 1967, 540, 513, 5152, 269, 634, 5750, 568, 9783, 12353, 676, 9291, 4580, 543, 5750, 31213, 616, 1759, 593, 5925, 1404, 543, 6455, 607, 513, 834, 10517, 6974, 894, 5542, 540, 2442, 2575, 2066, 942, 538, 3013, 1701, 9291, 4580, 2593, 11225, 519, 12182, 476, 1911, 5750, 607, 267, 834, 1492, 3018, 781, 1034, 2442, 1699, 8964, 2066, 782, 11964, 267, 19486, 676, 5925, 2011, 2452, 5304, 24221, 607, 6027, 676, 715, 1408, 11420, 645, 9169, 267, 6455, 1239, 607, 16432, 676, 715, 1408, 11420, 14675, 306, 4754, 267, 543, 18297, 2534, 1239, 689, 2228, 2575, 2959, 27424, 676, 715, 1408, 11420, 645, 9169, 269, 14576, 338, 616, 3989, 607, 1699, 952, 789, 616, 9241, 3146, 548, 1078, 10643, 267, 610, 8964, 8391, 7839, 2011, 2452, 543, 270, 610, 6455, 2534, 585, 519, 1101, 942, 1701, 898, 1058, 581, 7074, 602, 538, 4728, 476, 1001, 273, 267, 1282, 519, 942, 18134, 540, 713, 1353, 267, 9291, 4580, 3459, 547, 6451, 922, 593, 24683, 663, 8964, 5750, 883, 519, 3830, 602, 735, 3796, 519, 12182, 476, 1911, 630, 26466, 17507, 476, 1001, 273, 1916, 763, 10471, 1031, 538, 713, 1353, 729, 9291, 4580, 12182, 476, 1911, 12125, 267, 5130, 476, 272, 267, 476, 1001, 272, 998, 4989, 476, 4029, 267, 476, 1001, 273, 267, 799, 3769, 476, 15793, 8964, 269, 634, 9291, 4580, 476, 1911, 729, 6074, 607, 621, 729, 5097, 513, 5750, 540, 2206, 956, 630, 2254, 11549, 4548, 264, 543, 729, 711, 9135, 1808, 269, 634, 5354, 540, 519, 1239, 729, 22434, 2047, 689, 519, 2228, 12125, 269, 16952, 1239, 971, 607, 7114, 20054, 829, 8792, 630, 289, 15014, 264, 729, 1336, 676, 6947, 547, 8964, 593, 519, 20128, 1518, 3028, 267, 543, 1210, 7843, 17763, 570, 1952, 518, 3301, 269, 1403, 513, 5152, 781, 2196, 593, 519, 9291, 4580, 476, 1911, 3323, 538, 476, 1001, 272, 543, 5645, 883, 476, 1001, 273, 630, 324, 3052, 1421, 29615, 548, 781, 17029, 1782, 769, 634, 12213, 1070, 519, 1239, 729, 14360, 1394, 547, 519, 3018, 602, 519, 5152, 7902, 593, 519, 5750, 269, 31222, 1744, 820, 729, 519, 1152, 15747, 5152, 547, 2408, 593, 519, 12182, 476, 1911, 1282, 713, 1974, 865, 621, 729, 16934, 689, 11430, 3740, 2079, 269, 5450, 7879, 6074, 585, 713, 1353, 616, 1346, 602, 476, 272, 264, 941, 15864, 547, 5531, 1239, 585, 267, 543, 476, 273, 264, 15864, 585, 2504, 543, 5152, 8586, 1053, 547, 5612, 4019, 547, 741, 3860, 1184, 563, 24342, 543, 17564, 454, 763, 3328, 3259, 540, 519, 31047, 547, 519, 8964, 538, 713, 10471, 568, 476, 1556, 7643, 267, 609, 476, 6321, 260, 540, 519, 31047, 9434, 476, 271, 547, 476, 1015, 7643, 269, 898, 1058, 581, 7074, 602, 476, 2918, 540, 519, 476, 15793, 8964, 630, 866, 8472, 723, 1100, 31047, 630, 8201, 476, 272, 1040, 20289, 7671, 13187, 602, 519, 5010, 3483, 585, 513, 5152, 781, 4367, 538, 519, 2250, 729, 547, 2285, 5925, 29382, 338, 834, 339, 1779, 936, 942, 257, 630, 29445, 476, 1220, 280, 1040, 2060, 4066, 602, 616, 15409, 543, 3059, 267, 1236, 6235, 513, 1875, 268, 1263, 1645, 25644, 568, 2653, 585, 519, 26575, 269, 769, 2221, 781, 2344, 519, 7082, 781, 3007, 12732, 568, 10156, 982, 2479, 267, 4611, 538, 519, 991, 585, 519, 16073, 543, 5152, 23116, 547, 2308, 834, 31259, 2502, 31047, 2437, 610, 3006, 1100, 31047, 693, 782, 630, 29445, 476, 1220, 280, 1916, 29445, 13187, 602, 1310, 519, 1101, 6432, 267, 31047, 540, 2413, 8964, 1058, 9594, 1945, 2189, 827, 621, 538, 519, 1101, 2185, 7643, 269, 1403, 713, 1281, 711, 4755, 519, 19700, 786, 711, 581, 2111, 547, 2697, 519, 5152, 630, 5228, 741, 1101, 6432, 264, 543, 4061, 711, 581, 2111, 547, 6718, 621, 5612, 593, 1775, 307, 17480, 630, 29445, 476, 1220, 280, 1040, 3958, 267, 32298, 31234, 602, 519, 16073, 4882, 784, 23116, 1590, 1205, 19700, 3238, 1369, 519, 1101, 24239, 7643, 610, 1447, 267, 610, 789, 786, 2490, 1055, 519, 5152, 630, 300, 584, 19148, 476, 1001, 272, 1040, 14576, 338, 538, 519, 3059, 18297, 3898, 991, 513, 5934, 540, 24239, 7643, 540, 6947, 942, 547, 1293, 607, 513, 1404, 267, 543, 3976, 5352, 28370, 15271, 630, 29445, 476, 1220, 280, 1916, 2005, 568, 4502, 15663, 602, 476, 3451, 540, 519, 476, 15793, 8964, 630, 2190, 8472, 538, 713, 10471, 2253, 609, 2901, 513, 669, 11501, 610, 13622, 267, 513, 7678, 602, 554, 1046, 839, 1394, 547, 519, 5010, 2575, 540, 519, 476, 4350, 271, 338, 543, 476, 3707, 271, 338, 609, 519, 7638, 572, 267, 7638, 572, 267, 932, 11501, 267, 7638, 572, 630, 288, 29866, 264, 2511, 1106, 563, 763, 3328, 3259, 540, 782, 8964, 538, 519, 10471, 729, 1614, 3764, 267, 15823, 14633, 7643, 630, 274, 281, 7906, 1040, 774, 8812, 14633, 2600, 540, 519, 8964, 941, 936, 2185, 3764, 630, 8201, 476, 273, 1040, 2290, 2601, 585, 519, 2333, 538, 3328, 3259, 540, 513, 5152, 689, 519, 2250, 3044, 540, 476, 274, 269, 271, 547, 476, 274, 269, 276, 3764, 568, 519, 10014, 540, 2959, 883, 519, 9291, 4580, 12182, 476, 1911, 630, 2791, 12564, 267, 18297, 4609, 267, 3092, 4700, 602, 798, 711, 7048, 593, 5152, 3259, 607, 1454, 607, 2757, 5925, 1705, 269, 589, 1434, 1383, 540, 713, 7678, 568, 2052, 1405, 15579, 2974, 676, 27963, 548, 3467, 1299, 24138, 11066, 630, 10623, 520, 1005, 14105, 18243, 2023, 1070, 602, 2882, 513, 1646, 3296, 538, 519, 1647, 540, 519, 5152, 602, 3085, 1405, 3565, 561, 10455, 1227, 630, 1817, 985, 543, 834, 333, 11446, 8442, 543, 16569, 5111, 835, 8792, 563, 763, 3328, 32171, 585, 519, 8964, 538, 519, 10471, 729, 476, 8099, 269, 866, 20054, 829, 8792, 630, 289, 15014, 1040, 17823, 1399, 2600, 540, 519, 476, 15793, 8964, 538, 519, 10471, 941, 476, 6344, 645, 15014, 267, 610, 5488, 630, 8201, 476, 274, 1040, 634, 7154, 540, 782, 1661, 1842, 729, 476, 12553, 645, 15014, 267, 2495, 4557, 8964, 12286, 602, 2442, 32171, 1519, 267, 19850, 17926, 630, 291, 1886, 898, 547, 519, 4469, 3233, 267, 590, 261, 300, 267, 8111, 30464, 267, 29139, 697, 630, 296, 6415, 700, 990, 514, 262, 1411, 1070, 634, 22750, 540, 3794, 800, 267, 7831, 11016, 13957, 630, 307, 14371, 15660, 12171, 4700, 9453, 1411, 267, 6153, 28214, 267, 8187, 2201, 525, 267, 543, 12358, 3626, 269, 8111, 30464, 568, 606, 1383, 540, 513, 5152, 602, 4682, 689, 3368, 942, 547, 2407, 942, 269, 769, 2665, 971, 607, 713, 267, 519, 32171, 540, 519, 669, 11501, 610, 1292, 13622, 729, 1031, 607, 519, 32171, 32165, 563, 7712, 519, 1439, 540, 519, 476, 3192, 271, 338, 267, 7544, 1464, 814, 1831, 606, 1271, 3815, 547, 3313, 513, 5734, 5152, 269, 901, 1249, 568, 23576, 676, 3328, 32171, 543, 519, 1249, 602, 476, 4366, 540, 519, 476, 15793, 8964, 630, 3374, 8472, 17820, 930, 1826, 540, 5907, 7544, 2575, 630, 3633, 300, 264, 3310, 1519, 5082, 549, 267, 2558, 766, 267, 5600, 267, 543, 14878, 21163, 630, 5719, 645, 773, 267, 1696, 620, 269, 476, 1001, 272, 1040, 634, 661, 11155, 29321, 10471, 11225, 7544, 1464, 607, 834, 1492, 8897, 609, 799, 513, 1268, 1223, 7544, 547, 513, 5152, 267, 936, 519, 1576, 540, 519, 2898, 5152, 4799, 11592, 540, 7348, 454, 1103, 713, 3296, 267, 519, 5152, 5133, 267, 610, 5152, 834, 1613, 4812, 2437, 568, 9916, 269, 634, 21169, 538, 1101, 1268, 729, 3989, 607, 1210, 519, 21770, 834, 296, 267, 803, 267, 649, 267, 721, 267, 610, 9553, 1701, 12059, 1268, 8964, 941, 2808, 1650, 339, 11839, 8964, 1141, 519, 22256, 6411, 607, 519, 20626, 543, 6257, 519, 21286, 6429, 547, 519, 26575, 1210, 21770, 971, 607, 834, 515, 267, 1352, 267, 789, 267, 1200, 267, 1864, 267, 610, 621, 1701, 634, 21169, 538, 2034, 1268, 5133, 729, 2808, 519, 7376, 6340, 2047, 547, 2576, 269, 634, 21770, 2808, 538, 713, 9183, 941, 834, 9767, 267, 721, 267, 543, 649, 4799, 9336, 5152, 538, 713, 10471, 568, 23475, 689, 519, 15669, 781, 1448, 540, 2070, 547, 1776, 5428, 630, 16149, 1268, 1040, 2368, 8964, 971, 607, 717, 836, 5864, 13910, 267, 623, 22981, 5455, 918, 6506, 267, 543, 8111, 30464, 267, 3100, 547, 5912, 883, 3791, 1268, 855, 6038, 267, 519, 1650, 568, 1869, 1373, 5143, 543, 4330, 676, 519, 15669, 630, 328, 4318, 1421, 519, 7376, 1040, 634, 946, 540, 2034, 1268, 630, 14588, 1136, 2047, 547, 519, 19700, 264, 14405, 873, 538, 543, 6585, 741, 3007, 267, 607, 10353, 547, 10213, 513, 1650, 827, 513, 3791, 5428, 630, 300, 584, 19148, 476, 1001, 272, 1040, 901, 729, 23576, 676, 519, 10471, 269, 476, 6200, 540, 519, 476, 15793, 8964, 630, 10619, 8472, 3717, 547, 519, 19700, 676, 1210, 519, 2262, 834, 9767, 257, 538, 519, 11430, 878, 269, 1403, 789, 4769, 1405, 946, 834, 9767, 257, 519, 824, 8964, 1031, 519, 7104, 1106, 267, 971, 607, 834, 933, 2668, 476, 3393, 8964, 630, 3451, 8472, 849, 1031, 519, 2262, 834, 933, 257, 538, 519, 11430, 878, 547, 4497, 519, 19700, 563, 6097, 547, 32298, 267, 519, 1152, 942, 2442, 8964, 1058, 946, 519, 3791, 1268, 568, 952, 519, 3844, 1915, 538, 519, 5152, 568, 1932, 2025, 267, 1932, 1762, 267, 711, 3579, 2614, 267, 610, 711, 519, 3239, 519, 22256, 16858, 547, 1788, 269, 1323, 1383, 1131, 581, 513, 22256, 945, 1281, 711, 723, 1453, 267, 855, 568, 13465, 827, 513, 1915, 538, 3791, 1268, 945, 1281, 269, 32298, 13187, 602, 711, 1932, 1082, 1650, 339, 11839, 8964, 2291, 538, 1402, 2575, 2221, 563, 27094, 12199, 519, 3014, 950, 621, 3357, 547, 519, 1641, 540, 8964, 538, 519, 9291, 4580, 12182, 476, 1911, 936, 519, 2250, 1032, 7146, 8584, 28451, 269, 476, 6434, 540, 519, 476, 15793, 8964, 630, 4792, 8472, 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 ]
[ 318, 12296, 910, 3593, 30357, 17806, 318, 22487, 8967, 5217, 267, 1582, 13885, 910, 3593, 30357, 17806, 10947, 318, 19417, 3890, 1341, 476, 273, 11723, 1038, 1948, 3094, 269, 4565, 527, 263, 12528, 30357, 17806, 267, 630, 1345, 11859, 1341, 1582, 9884, 5954, 910, 3593, 30357, 17806, 318, 12296, 910, 3593, 30357, 17806, 318, 22487, 8967, 5217, 267, 1582, 13885, 1341, 1582, 269, 19417, 11723, 1038, 3593, 30357, 17806, 318, 8527, 730, 815, 27368, 6745, 4920, 845, 269, 8527, 622, 263, 12528, 30357, 17806, 267, 476, 5197, 994, 1038, 3094, 269, 4565, 527, 263, 12528, 30357, 17806, 318, 8527, 730, 267, 630, 1345, 11859, 1341, 1582, 9884, 5954, 910, 3593, 30357, 17806, 318, 12296, 910, 3593, 30357, 17806, 318, 22487, 8967, 5217, 267, 1582, 13885, 1341, 1582, 269, 19417, 910, 476, 273, 11723, 825, 1948, 9577, 1281, 782, 540, 519, 1187, 2979, 593, 875, 519, 9308, 1847, 519, 1915, 267, 607, 1134, 607, 18920, 12656, 2739, 16580, 7020, 585, 519, 3760, 454, 825, 1219, 1847, 4311, 267, 6345, 298, 17673, 267, 10569, 267, 31108, 31948, 267, 3760, 267, 6345, 306, 2432, 17107, 1038, 1948, 934, 11372, 815, 476, 2568, 270, 20988, 31948, 692, 1038, 952, 6345, 298, 17673, 2652, 476, 272, 281, 476, 1948, 1403, 519, 1915, 814, 1044, 14736, 539, 547, 519, 700, 9128, 307, 267, 1305, 621, 781, 2473, 5025, 343, 529, 6991, 547, 10790, 311, 538, 519, 700, 9128, 307, 4287, 563, 2018, 1582, 269, 767, 311, 815, 910, 1345, 269, 767, 311, 16655, 454, 2018, 1582, 269, 767, 312, 815, 1582, 269, 767, 312, 16655, 2608, 630, 272, 270, 275, 994, 1038, 8640, 6345, 298, 17673, 2652, 476, 273, 281, 476, 1948, 1403, 519, 1915, 814, 1044, 14736, 539, 24505, 267, 1305, 621, 781, 962, 5025, 343, 529, 6991, 547, 10790, 311, 538, 519, 24505, 310, 2752, 9169, 4287, 563, 2018, 1582, 269, 767, 312, 815, 1582, 269, 767, 312, 16655, 454, 1038, 8640, 6345, 298, 17673, 2652, 476, 274, 281, 476, 1948, 1403, 519, 1915, 814, 1044, 14736, 539, 547, 519, 681, 20846, 267, 1305, 621, 781, 2473, 5025, 343, 529, 6991, 547, 10790, 311, 538, 519, 681, 20846, 4287, 563, 2018, 1582, 269, 767, 311, 815, 1582, 269, 767, 311, 16655, 454, 2018, 1582, 269, 767, 312, 815, 1582, 269, 767, 312, 16655, 2608, 630, 272, 1315, 476, 275, 2020, 1038, 1948, 5192, 513, 8675, 540, 782, 13691, 10569, 602, 3568, 952, 519, 9138, 1883, 568, 4867, 20399, 630, 12148, 264, 610, 711, 630, 16178, 994, 1038, 1948, 10569, 815, 27368, 269, 4486, 10947, 7272, 5962, 10797, 1038, 1948, 1403, 519, 834, 288, 257, 1883, 568, 1373, 20399, 267, 17108, 547, 519, 2451, 676, 18946, 689, 519, 2473, 5025, 343, 529, 6991, 454, 1038, 952, 10569, 314, 6853, 18524, 14389, 19963, 13912, 476, 1948, 918, 318, 4041, 10499, 454, 2018, 1582, 269, 767, 311, 6834, 1582, 269, 3147, 476, 1948, 2608, 934, 11372, 692, 1038, 1948, 1403, 519, 834, 291, 257, 1883, 568, 1373, 20399, 267, 17108, 547, 519, 1318, 676, 4946, 547, 519, 2473, 5025, 343, 529, 6991, 454, 1038, 952, 10569, 314, 6853, 18524, 14389, 5091, 13912, 476, 1948, 918, 318, 305, 20846, 454, 2018, 1582, 269, 767, 311, 20699, 1582, 269, 3147, 476, 1948, 2608, 934, 11372, 692, 1038, 1948, 10691, 292, 281, 1635, 2348, 519, 834, 288, 257, 543, 834, 291, 257, 1883, 12304, 11974, 607, 5094, 952, 6898, 267, 789, 22599, 1142, 824, 856, 952, 1312, 616, 1373, 20399, 563, 1038, 1948, 11434, 901, 2164, 538, 4642, 2121, 268, 4219, 538, 2473, 5025, 343, 529, 6991, 780, 1038, 1948, 1403, 1312, 834, 288, 257, 543, 834, 291, 257, 616, 1373, 20399, 267, 10758, 952, 9444, 834, 288, 257, 543, 834, 291, 257, 616, 1373, 20399, 454, 1038, 952, 630, 12399, 314, 6853, 18524, 14389, 19963, 316, 543, 10569, 314, 6853, 18524, 14389, 19963, 8079, 610, 630, 349, 12399, 314, 6853, 18524, 14389, 19963, 316, 543, 9625, 12399, 314, 6853, 18524, 14389, 19963, 316, 2187, 2018, 1948, 1403, 519, 2473, 5025, 343, 529, 6991, 568, 2509, 519, 1318, 630, 27168, 994, 2018, 952, 1582, 269, 767, 311, 3436, 1582, 269, 767, 1320, 3306, 912, 3546, 1948, 15233, 8749, 547, 519, 2451, 630, 11357, 339, 847, 264, 547, 3500, 1524, 519, 1915, 454, 3546, 1582, 269, 767, 311, 20699, 1582, 269, 3147, 291, 4048, 476, 1948, 2608, 934, 11372, 692, 2018, 1948, 1403, 519, 2473, 5025, 343, 529, 6991, 568, 2509, 519, 2451, 630, 17463, 994, 2018, 8640, 1582, 269, 767, 311, 2999, 910, 1345, 269, 767, 1320, 3306, 912, 3546, 1948, 15233, 8749, 547, 519, 1318, 630, 5417, 264, 547, 3500, 1524, 519, 1915, 454, 3546, 1582, 269, 767, 311, 6834, 1582, 269, 3147, 291, 4048, 476, 1948, 2608, 934, 11372, 692, 2018, 1948, 1403, 519, 9588, 540, 519, 2473, 5025, 343, 529, 6991, 568, 2630, 519, 12939, 267, 1305, 519, 2473, 5025, 343, 529, 6991, 547, 4642, 563, 2018, 3116, 912, 3546, 1582, 269, 767, 311, 815, 476, 271, 692, 1038, 1948, 1403, 519, 962, 5025, 343, 529, 6991, 568, 4642, 630, 328, 4318, 269, 1915, 568, 593, 519, 3760, 264, 543, 519, 2230, 3046, 568, 20399, 454, 1038, 952, 10569, 314, 6853, 18524, 14389, 318, 9915, 19781, 316, 543, 1582, 269, 767, 312, 2652, 476, 271, 543, 630, 1345, 13885, 2652, 3760, 14277, 9008, 19312, 1341, 3760, 14277, 19417, 19312, 2187, 2018, 1948, 5269, 519, 1915, 7914, 676, 4259, 519, 962, 5025, 343, 529, 6991, 454, 2018, 1582, 269, 767, 312, 6834, 630, 272, 269, 1839, 2608, 1582, 269, 767, 312, 16655, 2020, 1038, 1948, 5410, 8904, 547, 519, 962, 5025, 343, 529, 6991, 454, 1038, 1582, 269, 767, 312, 6834, 1582, 3052, 571, 6143, 476, 1948, 2608, 934, 11372, 692, 1038, 1948, 1403, 519, 2473, 5025, 343, 529, 6991, 729, 7229, 547, 979, 1657, 10790, 311, 454, 1038, 952, 1582, 269, 767, 311, 3436, 1582, 269, 767, 311, 16655, 912, 2018, 1948, 5590, 2473, 5025, 343, 529, 6991, 547, 10790, 311, 454, 2018, 1582, 269, 767, 311, 815, 1582, 269, 767, 311, 16655, 692, 1038, 1948, 1403, 519, 2473, 5025, 343, 529, 6991, 729, 7229, 547, 979, 2630, 910, 7246, 311, 454, 1038, 8640, 1582, 269, 767, 311, 2999, 910, 1345, 269, 767, 311, 16655, 912, 2018, 1948, 5590, 2473, 5025, 343, 529, 6991, 547, 910, 7246, 311, 454, 2018, 1582, 269, 767, 311, 815, 910, 1345, 269, 767, 311, 16655, 692, 1038, 1948, 1403, 519, 1915, 568, 1369, 519, 23451, 540, 519, 3760, 593, 519, 2473, 5025, 343, 529, 454, 1038, 952, 3760, 14277, 3847, 19312, 266, 272, 10922, 630, 1345, 11859, 1341, 1582, 9884, 5954, 1341, 1582, 269, 767, 311, 264, 543, 630, 1345, 11859, 1341, 1582, 269, 767, 311, 264, 10922, 3760, 14277, 3847, 19312, 266, 680, 520, 845, 14277, 12296, 257, 14158, 2018, 1948, 1403, 519, 1915, 568, 1657, 267, 32296, 267, 610, 786, 3346, 519, 3760, 593, 519, 962, 5025, 343, 529, 454, 2018, 952, 1582, 13885, 13843, 3760, 14277, 9008, 19312, 1341, 3760, 14277, 19417, 19312, 3436, 630, 1345, 13885, 1341, 1582, 269, 767, 312, 2187, 3546, 1948, 5590, 519, 962, 5025, 343, 529, 6991, 547, 4642, 454, 3546, 1582, 269, 767, 312, 815, 476, 271, 454, 3546, 1948, 5590, 519, 1915, 781, 962, 5025, 343, 529, 2990, 547, 9985, 1796, 593, 1283, 540, 519, 3760, 454, 3546, 1582, 13885, 815, 3760, 14277, 9008, 19312, 1341, 3760, 14277, 19417, 257, 6540, 1038, 1948, 5410, 519, 2473, 5025, 343, 529, 6991, 547, 519, 1915, 781, 2473, 5025, 343, 529, 2990, 454, 1038, 1582, 11859, 6834, 1582, 269, 767, 311, 692, 1038, 1948, 5410, 519, 962, 5025, 343, 529, 6991, 547, 519, 1915, 781, 962, 5025, 343, 529, 2990, 454, 1038, 1582, 13885, 6834, 1582, 269, 767, 312, 692, 1038, 1948, 1403, 519, 1915, 781, 962, 5025, 343, 529, 2990, 8813, 2630, 519, 23451, 540, 519, 6885, 630, 328, 4318, 269, 519, 1915, 8813, 270, 529, 14736, 539, 1055, 540, 519, 3760, 994, 1038, 1948, 19268, 519, 2473, 5025, 343, 529, 543, 962, 5025, 343, 529, 29702, 543, 1365, 11921, 519, 1915, 454, 1038, 952, 1582, 13885, 2999, 476, 271, 910, 1582, 269, 19417, 912, 2018, 1948, 1365, 11921, 306, 895, 5715, 343, 815, 4351, 27110, 263, 272, 267, 476, 276, 994, 2018, 1948, 952, 1365, 11921, 306, 895, 5715, 343, 2652, 476, 272, 912, 2018, 1948, 672, 27368, 6230, 1460, 518, 2529, 895, 269, 2452, 263, 16651, 306, 2432, 14277, 25215, 11921, 318, 272, 257, 7481, 2018, 1948, 8640, 1365, 11921, 306, 895, 5715, 343, 2652, 476, 273, 912, 2018, 1948, 672, 27368, 6230, 1460, 518, 2529, 895, 269, 2452, 263, 16651, 306, 2432, 14277, 25215, 11921, 318, 273, 257, 7481, 2018, 1948, 8640, 1365, 11921, 306, 895, 5715, 343, 2652, 476, 274, 912, 2018, 1948, 672, 27368, 6230, 1460, 518, 2529, 895, 269, 2452, 263, 16651, 306, 2432, 14277, 25215, 11921, 318, 274, 257, 7481, 2018, 1948, 8640, 1365, 11921, 306, 895, 5715, 343, 2652, 476, 275, 912, 2018, 1948, 672, 27368, 6230, 1460, 518, 2529, 895, 269, 2452, 263, 16651, 306, 2432, 14277, 25215, 11921, 318, 275, 257, 7481, 2018, 1948, 8640, 1365, 11921, 306, 895, 5715, 343, 2652, 476, 276, 912, 2018, 1948, 672, 27368, 6230, 1460, 518, 2529, 895, 269, 2452, 263, 16651, 306, 2432, 14277, 25215, 11921, 318, 276, 257, 7481, 2018, 1582, 13885, 815, 476, 24798, 1341, 476, 2004, 454, 2018, 1582, 11859, 815, 4351, 27110, 263, 680, 520, 845, 14277, 3847, 257, 3910, 3760, 14277, 3847, 19312, 266, 680, 520, 845, 14277, 12296, 257, 7481, 2018, 1582, 269, 767, 311, 815, 476, 271, 454, 2018, 1582, 269, 767, 312, 815, 476, 271, 692, 1038, 1582, 11859, 815, 5180, 4311, 11859, 267, 476, 276, 994, 1038, 1582, 13885, 815, 5180, 4311, 13885, 267, 476, 276, 2020, 1038, 1948, 11910, 519, 6345, 1362, 1599, 834, 26303, 257, 547, 1305, 519, 1007, 2990, 540, 519, 3337, 540, 519, 1915, 3294, 454, 1038, 1582, 269, 26303, 10797, 825, 1948, 9577, 11974, 2436, 610, 711, 519, 1915, 15824, 513, 14736, 454, 825, 1219, 14736, 288, 794, 4311, 267, 10569, 2187, 1038, 1948, 5192, 513, 8675, 540, 782, 13691, 10569, 602, 3568, 952, 519, 9138, 1883, 568, 4867, 20399, 630, 12148, 264, 610, 711, 630, 16178, 994, 1038, 1948, 10569, 815, 27368, 269, 4486, 10947, 7272, 5962, 10797, 1038, 1948, 1403, 519, 2451, 15561, 1883, 568, 1373, 20399, 6730, 519, 909, 15561, 1883, 568, 711, 1373, 20399, 6730, 519, 1318, 15561, 1883, 568, 711, 1373, 20399, 454, 1038, 952, 10569, 314, 6853, 18524, 14389, 318, 4041, 10499, 316, 543, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 16810, 8079, 543, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 305, 20846, 316, 2187, 2018, 1948, 22352, 519, 834, 330, 1157, 257, 4756, 547, 24901, 513, 14736, 547, 519, 2451, 454, 2018, 1582, 21993, 1157, 815, 476, 274, 692, 1038, 1948, 1403, 519, 2451, 15561, 1883, 568, 711, 1373, 20399, 6730, 519, 909, 15561, 1883, 568, 711, 1373, 20399, 6730, 519, 1318, 15561, 1883, 568, 1373, 20399, 454, 1038, 8640, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 4041, 10499, 8079, 543, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 16810, 8079, 543, 10569, 314, 6853, 18524, 14389, 318, 305, 20846, 14158, 2018, 1948, 22352, 519, 834, 330, 1157, 257, 4756, 547, 24901, 513, 14736, 547, 519, 1318, 454, 2018, 1582, 21993, 1157, 815, 476, 272, 692, 1038, 1948, 1403, 519, 2451, 15561, 1883, 568, 711, 1373, 20399, 6730, 519, 909, 15561, 1883, 568, 1373, 20399, 6730, 519, 1318, 15561, 1883, 568, 711, 1373, 20399, 454, 1038, 8640, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 4041, 10499, 8079, 543, 10569, 314, 6853, 18524, 14389, 318, 16810, 316, 543, 711, 263, 12399, 314, 6853, 18524, 14389, 318, 305, 20846, 316, 2187, 2018, 1948, 22352, 519, 834, 330, 1157, 257, 4756, 547, 24901, 513, 14736, 20733, 454, 2018, 1582, 21993, 1157, 815, 476, 273, 692, 1038, 1948, 1403, 519, 3105, 1614, 19585, 6898, 547, 1685, 513, 14736, 782, 2132, 8771, 454, 1038, 3116, 912, 2018, 1948, 22352, 519, 834, 330, 1157, 257, 4756, 547, 24901, 1100, 14736, 568, 1373, 5340, 454, 2018, 1582, 21993, 1157, 815, 476, 271, 692, 825, 1948, 9577, 10311, 519, 1915, 3337, 547, 519, 1007, 2990, 540, 519, 1915, 454, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 5550, 815, 630, 1345, 11859, 267, 1582, 13885, 267, 1582, 9884, 5954, 267, 1582, 269, 19417, 994, 0, 258, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 829, 545, 731, 1756, 563, 314, 754, 334, 268, 1341, 717, 269, 31971, 267, 1472, 267, 1341, 544, 903, 267, 4887, 267, 1341, 737, 731, 807, 267, 2295, 267, 1341, 910, 4345, 267, 6553, 2639, 1103, 25691, 540, 782, 519, 3889, 540, 519, 2295, 563, 3966, 15258, 4345, 1103, 25691, 540, 782, 2694, 540, 519, 2295, 7308, 16298, 630, 754, 18201, 1756, 1070, 519, 4887, 630, 3240, 18201, 1756, 264, 543, 519, 4478, 5485, 630, 704, 545, 731, 1756, 1916, 1103, 25691, 540, 519, 16298, 540, 519, 2295, 267, 519, 5485, 1472, 519, 2295, 267, 543, 519, 4887, 540, 519, 2295, 563, 300, 1549, 539, 538, 281, 28039, 9964, 674, 1197, 0, 19686, 543, 17102, 585, 4227, 1239, 21611, 538, 513, 4908, 5577, 4771, 2792, 1062, 454, 288, 1505, 538, 513, 31092, 585, 1239, 16580, 21084, 538, 606, 796, 1723, 867, 3990, 4908, 5577, 4771, 2792, 1062, 568, 31889, 269, 634, 3490, 6728, 630, 10441, 264, 1101, 11887, 630, 19054, 264, 602, 513, 1101, 1239, 1305, 547, 581, 2366, 547, 513, 1101, 3926, 630, 10755, 264, 543, 513, 2034, 1239, 1305, 547, 581, 2366, 547, 513, 2034, 3926, 630, 13040, 264, 616, 16516, 547, 581, 10299, 8195, 593, 513, 1101, 4908, 540, 513, 4908, 5577, 1606, 564, 269, 634, 3926, 1287, 18993, 1080, 630, 20542, 264, 519, 1101, 1239, 1305, 593, 519, 1101, 4908, 540, 519, 4908, 5577, 1606, 564, 269, 634, 3490, 6728, 17799, 630, 24374, 264, 6771, 540, 519, 2034, 1239, 1305, 267, 543, 6368, 18993, 1080, 630, 22332, 264, 519, 2034, 1239, 1305, 593, 513, 2034, 4908, 540, 513, 4908, 5577, 1606, 564, 563, 30238, 16359, 7637, 22994, 1006, 267, 5549, 269, 4793, 757, 912, 268, 631, 24518, 7495, 6730, 6673, 303, 2752, 2969, 4785, 11123, 5084, 4338, 20937, 715, 4953, 310, 3036, 298, 16777, 11286, 23813, 2969, 631, 2464, 6347, 12283, 11123, 27427, 8863, 3198, 301, 5085, 454, 268, 631, 24518, 7495, 11123, 12164, 306, 27263, 5058, 19419, 5495, 13612, 2464, 667, 7838, 5058, 654, 296, 24359, 8577, 670, 13263, 10976, 2207, 5508, 589, 667, 308, 3201, 26827, 292, 17834, 10292, 4041, 5254, 9569, 454, 268, 631, 24518, 7495, 6730, 667, 14110, 21201, 23166, 13673, 295, 3198, 290, 3633, 645, 2969, 9898, 312, 26480, 3722, 14510, 14408, 309, 5058, 306, 454, 268, 14160, 5495, 291, 5174, 3008, 3633, 20219, 23727, 6730, 631, 24518, 7495, 11123, 15562, 2752, 5058, 32212, 8656, 7537, 32670, 14160, 5308, 5085, 312, 700, 8016, 28714, 667, 14110, 2975, 2464, 454, 268, 10613, 543, 7010, 585, 853, 344, 1782, 5680, 15689, 454, 763, 1459, 8798, 12211, 3622, 547, 12616, 10618, 267, 543, 811, 3226, 547, 14874, 1239, 21611, 538, 513, 4908, 5577, 4771, 2792, 1062, 11065, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 454, 310, 790, 1652, 2792, 3457, 3622, 7500, 538, 2901, 13931, 16674, 13164, 610, 606, 796, 997, 10234, 16674, 13164, 269, 30521, 1774, 548, 7483, 3028, 7426, 3622, 10536, 27121, 547, 7500, 513, 12616, 2792, 1062, 538, 835, 610, 811, 540, 513, 32469, 540, 13931, 16674, 13164, 269, 1452, 1949, 2308, 2789, 2409, 547, 1450, 2789, 1569, 676, 2789, 5985, 10473, 593, 513, 1455, 6512, 540, 4908, 9055, 269, 2290, 971, 1569, 4480, 267, 4908, 6498, 2789, 1569, 630, 293, 291, 7246, 1070, 2636, 2789, 1569, 676, 26471, 519, 5985, 10473, 547, 1114, 4908, 9055, 1369, 519, 16674, 6512, 269, 2368, 540, 891, 1949, 2308, 4908, 5577, 4771, 267, 13296, 1239, 568, 10299, 547, 543, 689, 519, 5497, 5985, 6728, 1247, 21237, 4657, 519, 4908, 8756, 269, 634, 13350, 8756, 4908, 5577, 4771, 4386, 593, 513, 2834, 942, 8884, 1634, 607, 513, 7406, 269, 18509, 3990, 4908, 5577, 4771, 1949, 946, 24441, 5577, 4771, 3270, 267, 610, 5577, 1606, 1115, 267, 13296, 519, 5577, 1606, 1115, 616, 20291, 1063, 782, 5985, 10473, 547, 2327, 602, 519, 6786, 547, 543, 689, 1079, 610, 811, 5985, 10473, 798, 711, 2049, 8195, 593, 519, 1482, 4908, 8756, 269, 1133, 1723, 867, 3990, 4908, 5577, 4771, 1281, 711, 11282, 519, 5577, 1606, 564, 1063, 5985, 10473, 4611, 538, 519, 13350, 12136, 540, 21800, 5365, 6771, 593, 519, 1482, 4908, 269, 6270, 21800, 18993, 3827, 616, 5219, 547, 607, 8756, 21611, 269, 4578, 21200, 6959, 9648, 1282, 513, 8756, 16580, 616, 5219, 547, 607, 1239, 21611, 269, 1133, 1723, 867, 3990, 4908, 5577, 4771, 1369, 713, 1826, 540, 1062, 568, 3622, 711, 1031, 607, 519, 8756, 21611, 543, 25739, 1239, 21611, 786, 2049, 269, 634, 674, 6717, 814, 19275, 20291, 4908, 5577, 4771, 1369, 519, 11633, 11660, 543, 6481, 630, 26113, 264, 13164, 538, 1931, 547, 2057, 8552, 30843, 676, 513, 2582, 1826, 540, 3028, 563, 21902, 338, 971, 607, 29402, 543, 476, 26764, 269, 1556, 12616, 2792, 1949, 267, 585, 1383, 7500, 1369, 519, 4959, 300, 13164, 269, 1677, 2057, 1239, 21611, 891, 1949, 949, 6895, 519, 6512, 543, 3442, 547, 7500, 1152, 538, 796, 31039, 1016, 1532, 1343, 269, 1452, 1949, 949, 849, 1689, 1016, 1532, 1343, 607, 519, 1267, 540, 519, 7020, 540, 15936, 337, 5365, 4222, 610, 519, 7020, 540, 15202, 6959, 22566, 540, 513, 8756, 16580, 609, 1776, 23142, 6728, 269, 1717, 8756, 21611, 1869, 2049, 607, 3457, 1590, 2631, 519, 13779, 3361, 676, 513, 8756, 16580, 538, 1931, 547, 1689, 519, 4908, 1016, 1532, 663, 563, 11997, 267, 538, 1931, 585, 513, 717, 15551, 1062, 547, 581, 5360, 5050, 609, 674, 6717, 6042, 513, 1689, 547, 519, 5577, 4771, 8756, 7084, 10325, 568, 2877, 971, 602, 519, 5577, 4771, 8756, 10467, 616, 796, 1723, 867, 3990, 269, 4475, 267, 1018, 568, 2877, 568, 513, 1505, 585, 519, 17594, 540, 1239, 16580, 6959, 3361, 676, 4908, 5577, 4771, 8756, 21611, 538, 606, 796, 1723, 867, 3990, 4908, 5577, 4771, 1062, 563, 763, 1585, 3344, 267, 2934, 543, 5383, 540, 519, 1459, 8798, 786, 1831, 811, 4628, 7805, 547, 1346, 2348, 8723, 5578, 538, 519, 1148, 2390, 6297, 7156, 540, 519, 1739, 26346, 13517, 540, 519, 8571, 902, 609, 519, 18913, 12400, 4330, 2630, 563, 288, 1505, 585, 519, 17594, 540, 1239, 16580, 6959, 538, 606, 796, 1723, 867, 3990, 4908, 5577, 4771, 2792, 1062, 568, 31889, 269, 634, 1505, 13408, 8159, 602, 513, 1101, 1239, 1305, 267, 799, 568, 547, 581, 2366, 547, 513, 1101, 3926, 267, 543, 513, 2034, 1239, 1305, 267, 799, 568, 547, 581, 2366, 547, 513, 2034, 3926, 267, 568, 16516, 547, 581, 10299, 8195, 593, 513, 1101, 4908, 267, 1775, 4318, 269, 513, 8756, 16580, 269, 634, 1239, 16580, 568, 14284, 1063, 519, 1079, 1239, 5036, 267, 676, 23142, 519, 1101, 1239, 1305, 593, 519, 1101, 4908, 5577, 4771, 4908, 267, 1247, 519, 2034, 1239, 1305, 568, 16607, 267, 849, 1634, 607, 544, 3176, 269, 634, 1101, 1239, 1305, 568, 7551, 10299, 796, 3711, 580, 28204, 543, 1239, 21611, 616, 14284, 538, 519, 1101, 3926, 269, 634, 3803, 1900, 568, 23142, 519, 2034, 1239, 1305, 593, 513, 2034, 4908, 5577, 4771, 4908, 267, 18615, 569, 1985, 538, 519, 4908, 5577, 4806, 693, 519, 1985, 7406, 269, 634, 2034, 1239, 1305, 568, 7551, 10299, 796, 3711, 580, 28204, 609, 513, 8488, 540, 693, 2547, 835, 7406, 269, 4935, 519, 5577, 4771, 9055, 616, 796, 1723, 867, 3990, 267, 2094, 519, 3312, 796, 1723, 867, 3990, 5577, 4771, 9696, 616, 796, 7116, 1881, 4849, 585, 519, 4573, 532, 540, 519, 6771, 547, 519, 2034, 3926, 1282, 519, 8756, 16580, 269, 4578, 21611, 616, 14284, 538, 519, 2034, 3926, 1282, 519, 6771, 540, 519, 1101, 1239, 1305, 676, 513, 8990, 602, 519, 2034, 3926, 568, 711, 519, 5497, 18579, 267, 543, 20022, 540, 1239, 21200, 2394, 1776, 7406, 563, 18814, 547, 16674, 8552, 7687, 267, 606, 2333, 538, 3755, 543, 519, 1942, 540, 16674, 8552, 27121, 267, 12616, 26313, 3028, 7426, 666, 4324, 689, 1210, 796, 997, 10234, 16674, 8552, 547, 9148, 519, 13931, 8552, 6712, 540, 741, 1949, 269, 4014, 519, 8552, 568, 796, 997, 10234, 267, 946, 3146, 638, 790, 906, 949, 1869, 4019, 269, 2290, 1383, 568, 519, 946, 540, 796, 997, 10234, 16674, 13164, 547, 32433, 717, 15551, 10237, 1774, 548, 7483, 2533, 269, 634, 717, 15551, 1062, 666, 946, 20291, 4908, 5577, 4771, 538, 799, 1142, 5985, 6728, 538, 513, 1591, 3096, 519, 1482, 1305, 540, 8756, 12451, 543, 5577, 4771, 4806, 267, 543, 513, 2189, 942, 15558, 540, 519, 5577, 4771, 4806, 5462, 676, 519, 5985, 14305, 4994, 15558, 630, 7246, 22473, 1040, 769, 713, 1259, 519, 1062, 666, 13918, 835, 2792, 5365, 585, 1142, 5577, 4771, 8756, 1510, 519, 12136, 540, 8756, 21611, 1369, 519, 1482, 1591, 563, 763, 3490, 6728, 476, 10441, 11392, 6835, 689, 519, 645, 17092, 476, 9083, 543, 18993, 1080, 519, 6835, 547, 519, 5497, 12616, 3457, 896, 606, 796, 1723, 867, 3990, 4908, 5577, 4771, 10325, 269, 18058, 1063, 519, 3490, 6728, 476, 10441, 543, 519, 1101, 12616, 3926, 476, 10755, 2671, 513, 1101, 796, 1723, 867, 3990, 5577, 1606, 564, 1247, 519, 3490, 6728, 476, 10441, 543, 519, 2034, 12616, 3926, 476, 13040, 2671, 513, 2034, 796, 1723, 867, 3990, 5577, 1606, 564, 269, 1703, 568, 1100, 11558, 1063, 519, 1101, 796, 1723, 867, 3990, 5577, 1606, 564, 543, 519, 2034, 796, 1723, 867, 3990, 5577, 1606, 564, 267, 2705, 891, 5577, 1606, 1115, 949, 17663, 1455, 4908, 9055, 971, 602, 4908, 8756, 21611, 949, 2049, 269, 634, 12616, 3457, 949, 581, 5985, 10473, 610, 824, 3593, 3937, 602, 5968, 609, 513, 7674, 6843, 267, 971, 607, 519, 32055, 3490, 6728, 476, 10441, 540, 519, 2792, 1062, 476, 1911, 538, 454, 763, 12616, 2792, 3926, 476, 1220, 267, 799, 666, 581, 9862, 547, 5968, 538, 513, 4908, 5577, 4771, 12616, 2792, 267, 949, 849, 17663, 513, 8756, 16580, 7020, 9074, 476, 23470, 602, 30397, 950, 4607, 6835, 616, 711, 5497, 547, 581, 4607, 676, 519, 5985, 6728, 476, 1220, 543, 513, 6771, 20319, 9074, 476, 18597, 1312, 13745, 547, 519, 31110, 19485, 476, 14225, 563, 288, 3490, 6728, 476, 10441, 540, 519, 12616, 2792, 1062, 666, 1331, 513, 31092, 476, 6344, 543, 513, 17513, 476, 14338, 585, 14379, 609, 513, 32469, 540, 12616, 2792, 3457, 269, 634, 3490, 6728, 476, 10441, 666, 849, 1331, 513, 5048, 21200, 9074, 476, 14862, 267, 602, 11392, 6835, 689, 519, 4295, 3060, 799, 616, 547, 581, 10299, 547, 835, 540, 513, 32469, 540, 12616, 2792, 3457, 269, 634, 3490, 6728, 949, 849, 1331, 513, 4908, 5577, 4806, 5108, 9074, 476, 14695, 269, 634, 4908, 5577, 4806, 5108, 9074, 476, 14695, 11887, 519, 4908, 5577, 1606, 564, 4806, 585, 1142, 3926, 540, 519, 32469, 540, 3457, 269, 634, 4908, 5577, 1606, 564, 3270, 616, 796, 1723, 867, 3990, 689, 3926, 547, 3926, 269, 634, 3490, 6728, 476, 10441, 666, 849, 1331, 513, 8756, 16580, 7020, 9074, 476, 12553, 602, 30397, 950, 4607, 6835, 616, 16516, 547, 581, 10299, 593, 519, 1482, 4908, 693, 519, 1482, 942, 543, 513, 5048, 20319, 9074, 602, 759, 3481, 2737, 610, 17799, 6771, 540, 513, 1239, 1305, 602, 729, 5462, 547, 2458, 728, 609, 1776, 1239, 1305, 563, 7212, 1079, 1239, 5036, 616, 1031, 585, 32055, 5301, 2429, 713, 23930, 267, 621, 568, 19424, 539, 602, 513, 32469, 540, 1239, 5036, 949, 581, 16516, 547, 581, 10299, 8195, 543, 593, 519, 1482, 4908, 607, 519, 1367, 4908, 5577, 1606, 1115, 2404, 609, 1142, 3926, 616, 796, 1723, 867, 3990, 1063, 519, 3457, 269, 1306, 519, 1297, 540, 12616, 3457, 14379, 538, 519, 2792, 1062, 4679, 267, 519, 1761, 585, 1239, 21611, 849, 4679, 269, 4475, 519, 3490, 6728, 476, 10441, 1590, 2638, 519, 20319, 540, 782, 6835, 547, 581, 10299, 267, 538, 13076, 609, 519, 1657, 1505, 267, 547, 2057, 21611, 563, 16676, 5224, 609, 4704, 547, 454, 763, 3490, 6728, 476, 10441, 1058, 3313, 799, 1239, 1305, 1058, 581, 10299, 1310, 8159, 476, 19054, 602, 513, 8756, 16580, 786, 2049, 269, 769, 835, 32055, 20032, 267, 519, 3490, 6728, 476, 10441, 610, 519, 3490, 6728, 17120, 476, 9083, 666, 6494, 519, 1239, 1305, 4607, 1101, 538, 942, 693, 519, 3490, 6728, 476, 10441, 610, 519, 3490, 6728, 17120, 476, 9083, 269, 769, 713, 32055, 20032, 267, 519, 1239, 5036, 616, 9268, 593, 513, 1101, 538, 1101, 856, 630, 293, 9281, 302, 264, 4493, 269, 769, 1776, 32055, 20032, 267, 519, 1239, 1305, 547, 581, 2366, 1101, 568, 14477, 5697, 269, 1403, 2789, 1239, 5036, 616, 16516, 547, 2458, 728, 267, 782, 4849, 835, 1239, 1305, 1131, 723, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15919, 538, 1931, 547, 2744, 14479, 538, 1978, 5121, 1141, 513, 667, 295, 9573, 7746, 568, 711, 4881, 267, 519, 12122, 540, 513, 11979, 7379, 2232, 568, 2838, 563, 15919, 538, 1931, 547, 2744, 14479, 538, 1978, 5121, 1141, 513, 667, 295, 9573, 7746, 568, 711, 4881, 267, 519, 12122, 540, 513, 11979, 7379, 2232, 568, 2838, 11053, 4711, 281, 1684, 3733, 5053, 14581, 1280, 2725, 307, 1314, 566, 19837, 10488, 11762, 1103, 6761, 2334, 16534, 28064, 10819, 16240, 25849, 906, 1280, 10507, 331, 4841, 2237, 6355, 18623, 1222, 4828, 763, 3974, 18329, 30914, 14187, 4828, 4985, 6201, 20236, 4985, 769, 4828, 5327, 20696, 4828, 11833, 454, 1607, 666, 581, 2944, 538, 835, 540, 1079, 2081, 282, 519, 1101, 1259, 547, 1569, 621, 568, 3842, 519, 1852, 8470, 563, 15675, 519, 8837, 476, 278, 2107, 321, 593, 519, 5377, 2451, 11804, 7944, 543, 2824, 519, 1852, 8470, 4781, 607, 3254, 2630, 281, 1703, 616, 1896, 5784, 799, 616, 2139, 585, 519, 1852, 8470, 282, 676, 9949, 519, 7121, 2070, 568, 1031, 563, 4322, 3681, 616, 3254, 538, 741, 2953, 6753, 538, 519, 1739, 4137, 281, 4495, 891, 3681, 723, 1044, 9411, 593, 519, 5496, 3274, 2046, 21411, 593, 1312, 3959, 13819, 543, 519, 12122, 540, 513, 11979, 7379, 568, 2347, 563, 763, 1702, 540, 11979, 7379, 12122, 568, 4105, 538, 2413, 10721, 5054, 607, 1082, 798, 711, 4625, 8415, 13128, 7379, 7084, 282, 621, 568, 849, 4105, 1702, 950, 3843, 547, 23676, 2393, 7379, 341, 275, 563, 2690, 519, 3483, 540, 713, 2376, 519, 7379, 2232, 476, 4572, 269, 12739, 269, 272, 269, 1911, 568, 1031, 609, 513, 1016, 6339, 9633, 540, 476, 14838, 269, 14838, 269, 14838, 269, 271, 543, 513, 9949, 24891, 540, 476, 4572, 269, 12739, 269, 272, 269, 272, 563, 763, 22665, 7746, 799, 786, 581, 27358, 568, 476, 14695, 269, 9834, 269, 3607, 269, 1960, 563, 763, 2034, 1259, 547, 2744, 1569, 547, 519, 8416, 543, 19457, 4741, 568, 547, 8415, 519, 3060, 12835, 799, 568, 10268, 538, 519, 1062, 26745, 950, 513, 3060, 8818, 814, 1044, 13087, 563, 2691, 713, 12835, 568, 1318, 12641, 17673, 519, 4781, 547, 1930, 519, 8416, 543, 19457, 4741, 568, 2016, 607, 3254, 2630, 281, 4495, 519, 8416, 543, 19457, 4741, 568, 1930, 972, 568, 606, 4781, 799, 2636, 519, 1689, 540, 740, 1986, 5468, 799, 568, 3254, 538, 519, 5580, 2451, 1688, 7944, 540, 519, 6885, 563, 14738, 1631, 267, 519, 7379, 9607, 585, 707, 7193, 338, 543, 824, 3457, 616, 4440, 8655, 8850, 676, 707, 18760, 1210, 513, 605, 20799, 565, 1634, 607, 25674, 21118, 4762, 580, 4851, 16257, 630, 291, 295, 9573, 1916, 2005, 779, 513, 13561, 1259, 585, 3457, 547, 1921, 547, 707, 3060, 811, 3362, 267, 1317, 596, 1810, 1406, 723, 547, 19022, 7379, 5466, 585, 1142, 1007, 3926, 3054, 269, 0, 12812, 593, 519, 2262, 585, 519, 2546, 281, 21929, 1143, 267, 25949, 267, 543, 11509, 1143, 941, 519, 1614, 3119, 10952, 454, 25217, 338, 540, 2219, 1282, 519, 21481, 269, 2419, 846, 21450, 543, 2491, 1946, 596, 1745, 922, 513, 1732, 1935, 547, 1272, 454, 22474, 519, 1866, 269, 2791, 786, 723, 547, 1413, 693, 782, 540, 519, 15806, 538, 1931, 547, 1174, 799, 568, 1732, 543, 1946, 454, 10472, 568, 707, 24134, 1759, 593, 707, 1560, 9433, 269, 8422, 3817, 543, 15666, 547, 6044, 547, 2057, 2530, 540, 3446, 454, 763, 2022, 11096, 28441, 3506, 7902, 1101, 593, 8808, 5830, 269, 0, 1103, 713, 1035, 549, 10973, 6648, 4976, 267, 1053, 2328, 513, 6648, 1210, 519, 5022, 538, 519, 2262, 1226, 652, 6929, 269, 4841, 2328, 513, 2262, 610, 8360, 585, 1142, 4484, 538, 519, 2262, 563, 274, 14358, 476, 271, 20042, 454, 268, 901, 4199, 568, 1152, 2139, 593, 606, 796, 16780, 7973, 539, 26824, 3896, 269, 898, 1058, 581, 5386, 585, 2489, 946, 267, 855, 1810, 1406, 946, 621, 547, 2671, 1022, 13948, 30753, 1344, 0, 6635, 10379, 993, 622, 2720, 4194, 2042, 538, 799, 1079, 18251, 2338, 616, 16611, 676, 513, 2582, 7857, 269, 1703, 616, 849, 1614, 2262, 2042, 593, 519, 7084, 269, 3502, 1152, 568, 713, 4976, 4052, 267, 20036, 12400, 540, 1453, 9657, 11956, 23691, 2066, 519, 5377, 540, 519, 2985, 1683, 3308, 9029, 269, 1323, 2626, 1883, 568, 3177, 585, 707, 13418, 563, 268, 901, 4199, 568, 1152, 2139, 593, 606, 796, 16780, 7973, 539, 26824, 3896, 269, 898, 1058, 581, 5386, 585, 2489, 946, 267, 855, 1810, 1406, 946, 621, 547, 2671, 1022, 13948, 30753, 1344, 0, 10501, 730, 543, 5623, 539, 676, 454, 19370, 14572, 281, 7994, 519, 20491, 2259, 476, 1015, 269, 276, 454, 1103, 713, 7446, 519, 5106, 547, 4194, 2262, 2042, 4976, 267, 1053, 4194, 519, 2042, 543, 2995, 799, 4238, 789, 1031, 269, 4841, 4194, 2947, 2042, 563, 276, 14358, 476, 4649, 20042, 454, 268, 901, 4199, 568, 1152, 2139, 593, 606, 796, 16780, 7973, 539, 26824, 3896, 269, 898, 1058, 581, 5386, 585, 2489, 946, 267, 855, 1810, 1406, 946, 621, 547, 2671, 1022, 13948, 30753, 1344, 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, 19370, 14572, 281, 7994, 519, 20491, 1966, 6061, 476, 1015, 269, 276, 8893, 14136, 454, 1692, 1082, 536, 1380, 525, 786, 621, 1491, 547, 1205, 782, 519, 3791, 3766, 2784, 619, 547, 519, 23291, 286, 901, 1966, 9010, 4976, 1131, 581, 1187, 547, 798, 1991, 547, 606, 4890, 2361, 7552, 267, 547, 1039, 606, 3063, 3872, 5057, 269, 18623, 1224, 513, 2110, 2262, 1966, 267, 543, 2483, 273, 526, 910, 476, 274, 6113, 4569, 454, 19370, 14572, 281, 7994, 519, 20491, 23918, 476, 1015, 269, 276, 8893, 14136, 454, 1103, 713, 6061, 2262, 2042, 14292, 2534, 267, 1053, 2328, 513, 6609, 10213, 950, 789, 1131, 946, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 547, 4194, 2042, 267, 1592, 1913, 610, 2453, 585, 1142, 5106, 267, 543, 4194, 2483, 274, 6113, 910, 476, 276, 628, 4569, 454, 19370, 14572, 17423, 281, 5564, 626, 788, 10819, 8893, 14136, 454, 290, 2194, 675, 707, 6267, 262, 3007, 676, 6998, 873, 547, 1265, 519, 3017, 538, 2450, 1063, 519, 476, 1321, 20878, 3623, 5652, 24970, 831, 543, 519, 476, 277, 20356, 9649, 24970, 831, 256, 901, 1931, 540, 4238, 14292, 2534, 814, 1053, 1101, 2697, 519, 2495, 540, 2483, 275, 628, 910, 476, 277, 628, 4569, 454, 16215, 22062, 687, 543, 9046, 14572, 609, 5450, 878, 20970, 8893, 14136, 454, 3519, 3200, 1762, 22697, 262, 1702, 540, 1747, 1871, 883, 606, 1620, 540, 519, 11973, 1062, 609, 713, 2947, 268, 1652, 517, 1770, 269, 3414, 513, 3126, 540, 1966, 6061, 2238, 543, 2259, 5751, 267, 1053, 1451, 827, 519, 2078, 2483, 274, 6113, 910, 476, 276, 628, 4569, 18938, 281, 23850, 454, 19370, 14572, 281, 8571, 513, 12810, 8893, 14136, 454, 1607, 1966, 6061, 17948, 6799, 513, 2143, 267, 9266, 5311, 540, 3268, 547, 1246, 538, 1931, 547, 4194, 513, 1650, 1966, 269, 634, 3206, 3157, 4330, 616, 2016, 538, 1257, 543, 6719, 676, 513, 3308, 2203, 269, 2991, 7234, 519, 2483, 275, 628, 910, 476, 276, 628, 2296, 5678, 8551, 454, 297, 324, 16985, 344, 910, 4569, 9046, 14572, 585, 476, 275, 628, 6103, 11520, 4804, 8416, 454, 2080, 568, 513, 2189, 6335, 593, 519, 8614, 16985, 344, 16654, 14245, 602, 723, 1831, 865, 2442, 269, 769, 713, 835, 267, 519, 1445, 568, 593, 1966, 6061, 1983, 585, 476, 275, 628, 3446, 2979, 10453, 269, 25315, 956, 540, 519, 6688, 616, 281, 4518, 7982, 2072, 267, 4855, 513, 23694, 267, 5269, 513, 2483, 21995, 4569, 10341, 6657, 543, 9046, 14572, 8893, 14136, 454, 763, 9837, 540, 519, 13472, 1606, 6011, 568, 547, 1683, 6267, 609, 519, 4316, 547, 2042, 4194, 609, 513, 9263, 269, 1358, 960, 998, 1142, 1966, 3177, 543, 1865, 741, 2994, 269, 901, 568, 513, 1390, 1259, 547, 1628, 13654, 2979, 543, 15821, 2483, 274, 6113, 910, 476, 275, 628, 4569, 454, 19370, 4149, 6295, 11150, 8893, 14136, 454, 5649, 5402, 267, 1413, 585, 1883, 1913, 267, 9004, 267, 7447, 267, 2638, 707, 4267, 269, 12315, 707, 19920, 519, 2994, 585, 16042, 2789, 31547, 1966, 6061, 267, 2519, 593, 8691, 543, 6498, 540, 2898, 2338, 267, 609, 713, 2483, 274, 6113, 910, 476, 275, 628, 4569, 18938, 281, 24623, 0, 31142, 29926, 790, 267, 6306, 689, 3206, 610, 4743, 4534, 547, 8428, 538, 3661, 610, 6644, 630, 4134, 698, 872, 5148, 547, 7947, 519, 29625, 543, 3029, 540, 606, 3964, 5939, 630, 516, 31437, 1875, 935, 845, 640, 1040, 27603, 267, 513, 4744, 10938, 568, 513, 17557, 945, 31439, 547, 3398, 519, 29625, 543, 3029, 540, 519, 12878, 2082, 5783, 538, 4789, 610, 10430, 563, 2304, 6644, 2016, 676, 513, 9794, 538, 513, 2013, 799, 15320, 689, 602, 2016, 676, 519, 5354, 540, 519, 5480, 269, 589, 29926, 3335, 2798, 856, 519, 19518, 540, 519, 5354, 2990, 543, 2829, 4128, 585, 21945, 693, 513, 1114, 3932, 563, 24038, 281, 13823, 2563, 630, 272, 264, 1496, 1931, 676, 1377, 316, 634, 6644, 540, 519, 12102, 16488, 538, 513, 5480, 2013, 269, 2755, 971, 8369, 15069, 616, 711, 9013, 267, 741, 7744, 568, 1419, 1031, 607, 513, 834, 2041, 778, 3650, 257, 538, 2663, 2665, 950, 519, 7040, 16976, 547, 9258, 513, 3105, 5480, 3375, 563, 320, 17083, 593, 519, 851, 540, 835, 610, 811, 2818, 540, 513, 12102, 267, 11589, 513, 1114, 6644, 689, 519, 5354, 538, 922, 2962, 593, 1022, 3390, 1354, 519, 5480, 267, 543, 949, 581, 10483, 609, 519, 4128, 593, 799, 621, 568, 8547, 454, 291, 1170, 550, 568, 513, 18941, 610, 6138, 540, 1875, 268, 698, 872, 618, 610, 11685, 547, 606, 2856, 630, 1122, 269, 513, 2229, 781, 4507, 264, 610, 606, 11769, 630, 1122, 269, 606, 1367, 610, 2797, 5428, 799, 7028, 971, 4507, 1040, 4165, 11618, 1331, 6876, 267, 13618, 543, 9844, 563, 291, 1170, 550, 568, 513, 10116, 569, 540, 6214, 267, 2528, 543, 1514, 2219, 12995, 676, 27508, 28137, 543, 7812, 9546, 10045, 269, 898, 729, 8547, 538, 476, 4198, 275, 676, 513, 1895, 540, 1715, 3840, 25827, 338, 602, 3769, 7054, 1324, 1215, 324, 267, 11066, 589, 269, 15328, 518, 267, 543, 2725, 9807, 5576, 777, 10098, 563, 763, 9139, 540, 12309, 18715, 519, 1318, 540, 513, 4759, 834, 1729, 29926, 689, 543, 13889, 1996, 1022, 957, 267, 23312, 610, 6571, 799, 646, 632, 2114, 3614, 21874, 547, 1022, 1268, 610, 519, 1857, 267, 543, 723, 519, 2601, 585, 1010, 29926, 9411, 538, 519, 4760, 1701, 589, 1100, 8917, 7778, 568, 513, 1106, 540, 29926, 563, 288, 2407, 12286, 3444, 3760, 19180, 6345, 270, 1952, 997, 566, 269, 4675, 2176, 8301, 543, 3381, 6119, 270, 6894, 338, 267, 681, 7704, 20555, 267, 23093, 4751, 338, 543, 3568, 513, 2241, 1357, 11422, 269, 19837, 550, 849, 26779, 2533, 689, 1585, 3906, 971, 607, 2549, 333, 17965, 4139, 269, 0, 763, 17522, 538, 3782, 2533, 3361, 676, 13044, 268, 866, 949, 723, 3366, 547, 606, 6059, 476, 26839, 267, 1822, 14774, 543, 1126, 7972, 538, 3162, 5607, 267, 2687, 547, 513, 1007, 6167, 1867, 563, 2005, 779, 5059, 593, 15787, 267, 18310, 267, 16273, 267, 3127, 267, 9031, 543, 16444, 20092, 267, 1753, 547, 930, 476, 272, 269, 279, 5479, 1004, 563, 763, 1867, 1336, 602, 2021, 267, 1453, 543, 10708, 941, 519, 10782, 3620, 527, 563, 21026, 5607, 814, 4080, 5176, 476, 1724, 2929, 13044, 2665, 543, 811, 982, 476, 5908, 267, 1822, 7972, 865, 2484, 563, 6624, 2477, 267, 1519, 1346, 538, 3162, 5607, 267, 15527, 547, 519, 6855, 609, 22608, 9376, 23957, 269, 2755, 10506, 267, 7966, 9313, 543, 9240, 6203, 7283, 1930, 267, 3592, 3388, 3116, 9505, 1524, 563, 763, 1867, 1107, 6034, 543, 1473, 1311, 12186, 540, 13044, 268, 866, 17455, 2438, 543, 15863, 538, 3162, 5607, 1107, 12116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9591, 513, 6131, 13186, 1572, 519, 31509, 629, 16223, 3570, 563, 265, 13536, 17710, 899, 808, 1695, 836, 597, 630, 337, 269, 476, 8182, 276, 268, 14341, 278, 264, 543, 20961, 808, 25301, 630, 337, 269, 476, 14341, 279, 268, 13679, 279, 264, 4797, 547, 1489, 519, 1646, 540, 713, 1148, 845, 267, 19788, 9952, 5159, 689, 2066, 5607, 780, 1262, 20007, 1664, 16001, 265, 20551, 1031, 1957, 10917, 1229, 609, 11792, 1117, 1094, 742, 1258, 267, 13058, 3043, 267, 543, 32314, 5070, 531, 6229, 547, 1711, 19756, 7028, 11259, 547, 5521, 3441, 563, 265, 20233, 1229, 23416, 1500, 5097, 689, 6886, 3177, 7524, 4778, 282, 930, 19267, 8659, 4154, 610, 8988, 6978, 563, 265, 20963, 26814, 18705, 689, 3662, 4552, 19658, 6946, 3877, 543, 10347, 27864, 563, 265, 589, 5276, 5133, 5916, 609, 5730, 7403, 24458, 4977, 6041, 540, 5515, 543, 5624, 780, 1262, 763, 6996, 16001, 265, 8466, 2621, 267, 10424, 23609, 267, 26704, 2984, 267, 543, 3909, 6386, 27648, 1455, 5396, 563, 265, 17826, 1419, 10483, 12383, 267, 7393, 3929, 16982, 543, 7214, 6278, 563, 265, 7849, 1143, 543, 4998, 1436, 17706, 13554, 1369, 15885, 267, 10452, 1312, 12170, 8343, 543, 19511, 7664, 780, 1262, 18128, 1828, 16001, 265, 4438, 13019, 8663, 781, 12081, 267, 5159, 5059, 593, 18995, 1480, 2833, 543, 4664, 998, 18512, 9423, 563, 265, 7201, 808, 1695, 836, 597, 267, 2067, 2065, 11269, 2968, 811, 7986, 267, 10771, 23141, 543, 22423, 6111, 563, 265, 1635, 20961, 808, 25301, 781, 942, 267, 1566, 18834, 543, 27715, 6353, 10367, 267, 30833, 676, 20662, 880, 16560, 3270, 543, 29413, 2326, 780, 21010, 532, 28753, 531, 20538, 7206, 609, 4207, 3466, 8761, 922, 11972, 3310, 593, 2413, 3308, 4529, 269, 1280, 1383, 267, 681, 12011, 553, 918, 558, 340, 781, 3126, 834, 1103, 519, 8745, 540, 519, 12429, 257, 5368, 614, 2181, 1206, 2757, 4095, 9910, 2137, 1210, 12050, 3515, 543, 12667, 24698, 267, 4101, 6671, 11994, 540, 1686, 543, 3961, 269, 6684, 267, 932, 527, 571, 717, 6951, 327, 781, 960, 7710, 15594, 5380, 1369, 5929, 4095, 6386, 267, 5373, 2390, 2553, 24188, 540, 28753, 531, 9910, 2137, 780, 3528, 2502, 7184, 609, 519, 2035, 13890, 1657, 267, 596, 666, 11349, 513, 13857, 8223, 540, 28753, 531, 20538, 7206, 543, 5660, 875, 891, 8978, 2853, 3136, 547, 3337, 2518, 7499, 27964, 269, 1306, 596, 2263, 2417, 267, 2015, 4296, 1063, 2250, 543, 1459, 7215, 267, 5275, 4030, 883, 938, 3838, 1480, 1995, 2066, 942, 543, 2230, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 1695, 770, 328, 2279, 3333, 541, 2999, 16942, 11333, 2593, 285, 6594, 12416, 267, 4670, 543, 8106, 2575, 2504, 538, 5507, 630, 289, 6195, 264, 543, 8303, 630, 18306, 293, 1070, 543, 1247, 593, 5234, 693, 715, 3951, 309, 21610, 7644, 307, 267, 6592, 2661, 12644, 693, 519, 1744, 4275, 345, 8551, 16635, 585, 2663, 31076, 593, 7641, 269, 2701, 12236, 513, 12854, 538, 16130, 543, 21475, 26049, 23205, 16161, 543, 19088, 1108, 630, 19604, 10542, 476, 2735, 279, 264, 543, 22002, 513, 4876, 607, 513, 18758, 6575, 543, 2528, 10324, 693, 519, 5192, 1399, 11094, 4659, 267, 11968, 13353, 5845, 327, 1301, 4577, 5948, 267, 543, 2817, 22127, 5980, 269, 2701, 814, 3370, 2835, 543, 3812, 9754, 24218, 543, 3381, 32026, 593, 8103, 779, 18840, 1670, 543, 3140, 6561, 538, 4000, 267, 5607, 267, 5245, 267, 2342, 267, 6239, 543, 3162, 3013, 267, 543, 593, 519, 21056, 540, 513, 1007, 5108, 538, 519, 772, 2529, 563, 763, 1744, 4275, 345, 6261, 518, 572, 335, 12994, 16635, 540, 8551, 729, 606, 3486, 13037, 4371, 538, 9459, 1169, 4832, 689, 476, 3422, 278, 268, 3192, 278, 269, 808, 1662, 333, 3887, 12968, 541, 3887, 1744, 4275, 345, 267, 607, 621, 729, 2442, 569, 1634, 538, 14655, 729, 606, 6273, 543, 8611, 880, 3408, 267, 17634, 543, 3860, 6643, 581, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 7489, 1315, 4095, 1299, 3162, 7489, 1315, 28753, 531, 22387, 1155, 27006, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 14297, 1715, 3840, 4975, 267, 31314, 1063, 26009, 1236, 903, 322, 1905, 619, 267, 729, 606, 796, 817, 11167, 2679, 910, 519, 28379, 585, 9522, 697, 781, 29519, 269, 4706, 2261, 638, 2465, 1224, 281, 834, 4462, 548, 1662, 2659, 15783, 281, 4855, 2659, 4279, 1145, 10590, 8528, 288, 812, 3957, 5981, 11542, 1394, 560, 720, 267, 2921, 2620, 24967, 607, 646, 5423, 547, 1900, 883, 519, 1909, 540, 1010, 10715, 269, 1261, 1185, 2141, 1044, 1347, 29487, 267, 10237, 908, 25273, 267, 855, 1223, 646, 8300, 513, 4055, 995, 540, 21046, 286, 8307, 835, 1259, 547, 1265, 856, 780, 257, 299, 611, 625, 543, 22918, 548, 5443, 2437, 5981, 3459, 267, 1010, 5639, 16079, 532, 1472, 519, 14095, 2912, 3218, 1756, 267, 834, 9213, 596, 1265, 707, 2383, 693, 519, 10511, 823, 540, 30493, 256, 14190, 803, 547, 3391, 596, 593, 713, 3460, 547, 16734, 707, 2407, 1761, 267, 8508, 707, 9909, 267, 543, 2870, 519, 1272, 9358, 23370, 2207, 12717, 15323, 16449, 560, 519, 4262, 540, 8188, 267, 1079, 2043, 9575, 1010, 3007, 910, 8861, 267, 513, 1762, 2852, 2875, 7334, 827, 1200, 2104, 4876, 2619, 267, 543, 9400, 267, 513, 1647, 27070, 1870, 2006, 771, 650, 4288, 539, 676, 1296, 540, 9746, 1743, 644, 326, 2044, 780, 20694, 12038, 6612, 2299, 827, 694, 1944, 3255, 267, 20408, 12194, 267, 543, 18468, 538, 13951, 269, 3571, 1913, 6949, 730, 7184, 609, 8861, 945, 4956, 1287, 543, 972, 547, 11654, 19761, 5103, 3355, 31536, 687, 269, 1717, 267, 9400, 7283, 26617, 267, 14962, 532, 621, 782, 607, 804, 747, 2946, 323, 1582, 25298, 20116, 780, 291, 904, 5828, 883, 4374, 267, 8861, 5249, 24091, 267, 954, 940, 693, 2199, 14786, 267, 1603, 21075, 267, 5355, 1200, 4739, 269, 4173, 3237, 8068, 1200, 16012, 8990, 543, 6462, 1200, 4628, 269, 2991, 1896, 3275, 267, 1352, 17956, 513, 2816, 2709, 689, 513, 18019, 12139, 780, 32178, 267, 2705, 267, 4797, 1524, 1010, 5432, 4155, 267, 3395, 5051, 15280, 2509, 1010, 27865, 517, 748, 2816, 543, 5667, 15384, 325, 3539, 2123, 1272, 269, 2290, 1554, 267, 8572, 547, 7703, 621, 15042, 267, 646, 791, 6160, 1947, 16718, 1010, 2816, 1510, 1022, 1544, 645, 269, 901, 16420, 3375, 2451, 1864, 32014, 585, 1082, 3275, 267, 2269, 1456, 3347, 543, 18083, 780, 12507, 2195, 2663, 267, 789, 18084, 10092, 1586, 693, 1776, 29519, 269, 9400, 6743, 4587, 267, 649, 926, 518, 269, 22628, 1864, 3976, 267, 8861, 5433, 8909, 2943, 7948, 1405, 948, 855, 1745, 18507, 585, 11504, 5981, 781, 2911, 799, 4957, 1200, 1272, 18330, 780, 1607, 9661, 5713, 607, 513, 12576, 602, 938, 2729, 616, 8032, 676, 519, 5079, 649, 1118, 269, 898, 7512, 721, 547, 3251, 1930, 16490, 267, 14388, 267, 543, 14942, 538, 31743, 938, 3853, 1247, 849, 10223, 519, 2956, 540, 6236, 4539, 1354, 1818, 1713, 3664, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 12648, 593, 519, 1909, 540, 513, 1347, 29487, 30973, 10584, 563, 11900, 335, 790, 513, 15624, 547, 1246, 741, 9909, 563, 299, 611, 625, 543, 9543, 5443, 267, 2221, 596, 1265, 707, 2383, 693, 519, 10511, 823, 540, 30493, 256, 14190, 803, 547, 3391, 596, 593, 713, 3460, 547, 8275, 707, 2407, 1761, 267, 547, 9784, 707, 9909, 267, 543, 1711, 519, 1272, 9358, 17330, 256, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 7689, 476, 272, 281, 4197, 1215, 1284, 6258, 6168, 519, 2622, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 596, 1451, 1007, 1919, 286, 9320, 596, 3605, 1945, 1007, 1247, 2542, 513, 1433, 267, 8384, 7641, 267, 6158, 609, 707, 2828, 610, 1256, 4730, 3381, 3756, 256, 2353, 891, 2833, 948, 3337, 1018, 596, 917, 543, 3494, 827, 519, 1158, 1472, 596, 780, 5331, 713, 9183, 281, 1411, 2097, 1753, 1310, 1153, 835, 1554, 543, 31113, 2995, 707, 1920, 827, 1018, 596, 4121, 538, 1362, 1107, 5310, 621, 729, 827, 2230, 3408, 610, 3504, 12977, 269, 2659, 1920, 1287, 8843, 3606, 1344, 789, 917, 267, 3006, 3858, 532, 609, 707, 4116, 779, 5133, 543, 824, 2053, 5356, 4244, 16752, 269, 901, 1394, 7146, 16519, 628, 5385, 2337, 1628, 707, 1620, 540, 1585, 5396, 269, 1809, 1705, 596, 917, 972, 1522, 849, 581, 930, 7506, 7133, 707, 1565, 3460, 602, 5749, 1406, 3833, 607, 6654, 286, 2913, 779, 4685, 4514, 883, 1346, 1631, 780, 763, 10020, 540, 14268, 543, 15050, 2103, 454, 29432, 7312, 3237, 610, 25330, 1404, 513, 1713, 1909, 538, 5935, 707, 2038, 4978, 543, 2418, 1759, 593, 741, 1378, 10080, 543, 2833, 269, 1358, 798, 713, 16662, 1549, 958, 1034, 540, 519, 942, 2094, 789, 1616, 519, 1655, 585, 596, 543, 2671, 1018, 789, 632, 655, 1271, 610, 4977, 269, 1280, 1383, 267, 952, 2576, 538, 707, 1920, 14560, 17651, 267, 789, 949, 8141, 707, 7279, 538, 588, 1173, 5074, 693, 3781, 267, 4543, 596, 5660, 519, 13300, 540, 9018, 2230, 780, 293, 5436, 4065, 3590, 454, 2411, 15365, 2026, 596, 1332, 4587, 267, 6101, 2069, 3217, 4099, 3942, 269, 12140, 4001, 596, 4295, 5396, 899, 2979, 267, 1893, 6575, 267, 1514, 2090, 267, 543, 9443, 1210, 11295, 19593, 592, 4548, 2966, 547, 1683, 1134, 25454, 1702, 269, 1717, 267, 3610, 1419, 723, 3908, 942, 543, 2200, 547, 3382, 1169, 2582, 1469, 282, 3976, 267, 1978, 5380, 666, 1205, 15091, 811, 982, 1866, 269, 898, 3085, 1405, 1611, 1346, 616, 4636, 855, 1175, 8711, 1808, 3344, 540, 513, 1641, 2339, 780, 2690, 3236, 267, 950, 4974, 1977, 3778, 267, 5049, 2356, 1445, 593, 1883, 2621, 971, 607, 519, 21829, 2782, 610, 6406, 7126, 11873, 269, 2755, 1898, 267, 891, 3584, 1152, 2099, 15998, 540, 3013, 781, 3638, 2250, 269, 10289, 2789, 2959, 3564, 519, 4928, 786, 2709, 6626, 4030, 543, 5000, 2565, 3206, 1983, 780, 22709, 9012, 21478, 454, 2411, 21387, 5194, 2101, 6345, 5935, 938, 8226, 540, 4641, 568, 519, 2527, 2923, 910, 14786, 267, 8613, 2982, 267, 9413, 267, 27143, 267, 7270, 267, 3092, 269, 4750, 1235, 543, 4966, 945, 960, 538, 891, 4610, 3142, 3377, 2984, 543, 9913, 547, 6634, 5001, 269, 4595, 789, 3112, 7654, 1867, 3388, 8345, 11451, 267, 789, 1590, 3442, 799, 2984, 547, 5031, 269, 9182, 267, 9458, 4309, 16496, 6386, 602, 3310, 741, 8369, 3823, 6214, 267, 2528, 267, 2029, 267, 543, 1454, 811, 780, 16978, 539, 24929, 543, 7991, 24285, 454, 14343, 19030, 15563, 267, 2199, 3401, 543, 14761, 7247, 649, 1528, 547, 2099, 721, 3565, 3648, 547, 938, 1620, 540, 6848, 2152, 269, 1452, 2043, 15974, 3435, 547, 4948, 2591, 5185, 676, 2950, 543, 2303, 4507, 5466, 3677, 11528, 4145, 269, 1635, 11287, 741, 3527, 543, 6947, 547, 741, 18531, 267, 649, 1106, 24221, 827, 1761, 6030, 540, 2962, 543, 1020, 938, 2797, 9163, 780, 1103, 3932, 267, 1082, 2188, 1016, 4621, 19290, 3391, 938, 1565, 15322, 2429, 1272, 269, 9861, 3222, 540, 873, 2636, 721, 547, 2226, 1930, 8186, 267, 2307, 15826, 2055, 267, 3343, 3309, 5380, 267, 543, 4497, 9691, 609, 1114, 2010, 540, 1344, 269, 16871, 713, 14820, 16877, 721, 547, 1732, 1174, 6000, 543, 519, 1950, 1158, 649, 9468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5804, 519, 4090, 938, 12823, 1101, 11578, 519, 4527, 540, 938, 3237, 649, 616, 1373, 3254, 519, 1259, 602, 1272, 15151, 568, 269, 3414, 1100, 13337, 540, 23600, 610, 741, 338, 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 ]
[ 10772, 267, 10539, 267, 16132, 267, 25874, 267, 26390, 5209, 267, 771, 528, 1304, 566, 267, 23324, 5075, 267, 799, 666, 1267, 538, 513, 25942, 716, 1310, 513, 3978, 3750, 4252, 5945, 267, 4633, 4524, 267, 543, 3622, 972, 568, 606, 7805, 7411, 538, 2792, 267, 7928, 543, 538, 1260, 11772, 1043, 2242, 538, 4606, 267, 2242, 538, 3207, 6208, 543, 2242, 538, 2623, 602, 616, 8915, 538, 782, 3029, 540, 12110, 4586, 763, 1657, 2589, 2356, 2253, 547, 8915, 689, 519, 1101, 1906, 3764, 540, 519, 5945, 267, 855, 972, 568, 849, 519, 7872, 540, 513, 16607, 12136, 267, 971, 607, 267, 585, 1383, 267, 519, 3461, 781, 30366, 267, 519, 5385, 540, 4664, 267, 3092, 269, 898, 568, 849, 4502, 15663, 602, 621, 568, 711, 12691, 602, 2550, 267, 945, 723, 1044, 9601, 540, 15779, 2634, 5945, 1296, 3516, 267, 1020, 4965, 267, 4160, 543, 29338, 269, 5525, 543, 7422, 538, 12110, 2550, 723, 3254, 602, 950, 891, 2043, 616, 7142, 547, 1685, 5528, 676, 3257, 519, 14724, 2534, 855, 1745, 2933, 24835, 659, 18469, 267, 789, 8858, 6404, 4606, 602, 14595, 1360, 3533, 543, 5693, 10728, 2623, 2509, 1866, 269, 769, 5758, 267, 10539, 543, 10728, 2623, 616, 1631, 606, 9311, 2939, 547, 1022, 1826, 540, 12110, 1496, 275, 267, 278, 267, 279, 14073, 24836, 6143, 10495, 543, 26616, 1546, 10879, 18873, 454, 1103, 2489, 267, 972, 616, 1082, 3123, 602, 666, 2014, 12110, 267, 971, 607, 966, 9680, 293, 267, 855, 849, 1082, 2010, 540, 12110, 971, 607, 15466, 2068, 267, 799, 616, 2352, 547, 2697, 269, 1809, 8726, 922, 2010, 267, 4191, 543, 2589, 798, 711, 24044, 547, 581, 519, 1482, 267, 609, 1360, 1906, 3604, 269, 27009, 267, 607, 2653, 607, 8156, 7189, 547, 2697, 513, 12110, 267, 621, 568, 865, 2352, 585, 873, 547, 2697, 519, 1826, 540, 12110, 269, 634, 4879, 540, 12110, 1739, 15779, 2634, 5945, 568, 1759, 593, 6093, 2055, 543, 24616, 971, 607, 912, 268, 3040, 5999, 827, 519, 2175, 540, 519, 8009, 563, 268, 3040, 30487, 519, 1377, 540, 9637, 543, 2436, 972, 568, 10539, 563, 268, 3040, 27096, 673, 18362, 585, 519, 2953, 4879, 540, 3965, 267, 3206, 267, 14815, 630, 9679, 267, 5905, 267, 6217, 1070, 3666, 267, 16846, 525, 543, 824, 10832, 540, 1697, 2634, 1599, 4586, 1103, 1840, 267, 9196, 18362, 786, 581, 2877, 547, 948, 1852, 519, 5347, 8647, 540, 519, 2634, 267, 1317, 585, 513, 3461, 945, 11124, 689, 513, 918, 2975, 835, 1032, 3516, 267, 621, 568, 1978, 602, 2634, 1599, 786, 581, 4299, 269, 3509, 3409, 602, 585, 513, 12110, 5868, 547, 581, 4570, 267, 513, 23707, 540, 519, 2634, 1590, 581, 28263, 267, 855, 713, 568, 1100, 3476, 519, 2013, 19951, 269, 769, 2937, 4079, 267, 789, 4019, 4987, 4255, 602, 6961, 519, 2790, 1533, 540, 3425, 543, 1118, 621, 4443, 585, 873, 547, 2697, 602, 789, 616, 7092, 689, 12110, 267, 1247, 4587, 1004, 3564, 891, 4255, 849, 4019, 9196, 2553, 269, 4746, 267, 2790, 10108, 267, 1519, 4965, 543, 2618, 2670, 267, 949, 3132, 519, 1482, 2589, 607, 1642, 597, 1756, 543, 12110, 585, 713, 1590, 581, 21630, 1496, 280, 267, 1015, 14073, 1103, 2487, 1296, 267, 2027, 4255, 723, 1044, 2919, 267, 9434, 476, 276, 268, 1428, 3764, 267, 799, 666, 3313, 547, 513, 25685, 4110, 519, 12110, 519, 3461, 23119, 689, 269, 3509, 2010, 540, 4255, 723, 1044, 4362, 855, 1152, 835, 568, 4922, 1634, 543, 6325, 865, 2484, 543, 713, 568, 519, 22387, 10076, 3557, 22410, 630, 2304, 10811, 3852, 503, 1040, 2986, 1576, 267, 538, 1931, 585, 519, 5868, 547, 581, 811, 6325, 267, 621, 1058, 581, 5916, 609, 519, 3461, 781, 7209, 4879, 267, 607, 1134, 607, 12570, 519, 2702, 547, 1685, 1554, 3562, 6377, 2238, 543, 5615, 1496, 1556, 268, 1724, 14073, 17457, 2081, 540, 12003, 454, 30535, 609, 7646, 15779, 2634, 5945, 2356, 798, 711, 991, 1022, 811, 2126, 982, 16889, 543, 5464, 519, 2589, 693, 1753, 269, 14904, 945, 723, 4810, 9793, 547, 4049, 15779, 2634, 5945, 786, 2154, 12675, 4791, 1416, 267, 6391, 267, 6646, 607, 1134, 607, 2027, 1489, 689, 3782, 4648, 585, 741, 16795, 543, 5347, 2132, 547, 2486, 269, 2859, 4481, 267, 519, 27069, 1895, 5161, 540, 912, 268, 4284, 19708, 1905, 626, 267, 547, 2232, 5179, 2042, 2676, 268, 16594, 13309, 267, 547, 2232, 519, 2042, 540, 4633, 2676, 268, 5369, 6048, 267, 585, 519, 5626, 1489, 540, 1312, 519, 3461, 543, 519, 1920, 2676, 268, 589, 1514, 11832, 267, 547, 4308, 609, 519, 538, 1922, 13637, 2042, 16109, 689, 519, 7142, 556, 14194, 2194, 566, 540, 5107, 2676, 268, 589, 12016, 547, 1451, 543, 4001, 519, 3461, 543, 519, 1920, 547, 2061, 8374, 607, 1134, 607, 547, 1689, 519, 1753, 2230, 865, 602, 741, 3232, 6296, 568, 4443, 538, 519, 2680, 540, 9659, 543, 824, 5179, 2042, 4586, 26589, 609, 519, 960, 540, 519, 11215, 1895, 267, 513, 3461, 609, 12110, 1813, 547, 15779, 2634, 5945, 568, 538, 991, 540, 3617, 6646, 1547, 661, 326, 912, 320, 264, 3600, 25485, 3273, 1149, 614, 848, 20127, 630, 323, 821, 701, 7588, 267, 678, 643, 770, 10176, 710, 267, 7523, 656, 8533, 1040, 1452, 20127, 616, 3177, 676, 2854, 2564, 5583, 547, 2550, 7092, 689, 12216, 781, 267, 19576, 781, 543, 966, 6018, 1546, 10879, 269, 1717, 267, 741, 2164, 616, 711, 2141, 25685, 538, 519, 1657, 2665, 1496, 1428, 268, 1704, 14073, 321, 264, 28679, 6395, 630, 528, 1509, 14932, 264, 13805, 3625, 619, 610, 28679, 6395, 13805, 3625, 619, 540, 22965, 25271, 3679, 2300, 527, 2218, 32239, 269, 3509, 2053, 267, 1813, 547, 519, 1114, 6127, 540, 8647, 540, 1035, 25485, 3273, 1149, 614, 848, 543, 1509, 14932, 13364, 267, 7189, 4363, 9256, 873, 1510, 2141, 2348, 519, 5551, 2164, 1496, 1240, 267, 866, 14073, 763, 1657, 6878, 723, 519, 2702, 547, 2087, 2790, 3252, 909, 547, 476, 1321, 3275, 538, 476, 273, 270, 274, 540, 2550, 269, 2311, 713, 1448, 267, 621, 1058, 581, 7074, 602, 519, 19692, 2126, 5956, 609, 519, 3617, 2126, 267, 519, 19692, 649, 786, 723, 519, 5551, 2164, 267, 799, 538, 1034, 2665, 666, 2063, 585, 811, 982, 513, 1032, 269, 769, 12110, 267, 16310, 519, 1966, 540, 4057, 1533, 540, 3965, 267, 824, 2042, 971, 607, 4160, 267, 4965, 267, 10728, 2623, 267, 3092, 269, 723, 547, 581, 9619, 269, 769, 4965, 585, 1383, 606, 1271, 1909, 4249, 22515, 267, 513, 32239, 540, 519, 1480, 2634, 269, 8899, 22515, 2157, 723, 1044, 3254, 547, 581, 3238, 538, 4965, 269, 4475, 267, 5061, 616, 1031, 602, 28729, 21391, 22515, 556, 268, 340, 696, 820, 267, 7551, 2810, 22515, 1863, 2157, 267, 7551, 27955, 4965, 1496, 1626, 267, 736, 14073, 4263, 713, 1448, 267, 649, 1058, 711, 522, 2466, 519, 11816, 2723, 344, 9455, 267, 799, 948, 547, 9350, 519, 3461, 267, 945, 1813, 547, 8082, 543, 2566, 949, 581, 3366, 547, 4965, 269, 2353, 540, 519, 1657, 5061, 1058, 581, 2016, 607, 513, 2268, 543, 2141, 693, 519, 2953, 13066, 607, 519, 8374, 789, 666, 2014, 666, 581, 607, 5906, 607, 1346, 540, 519, 966, 6717, 267, 971, 607, 2669, 4586, 4692, 621, 581, 15286, 888, 5719, 10879, 1813, 547, 15779, 2634, 5945, 267, 607, 1134, 607, 1022, 1826, 540, 12110, 267, 1281, 711, 723, 1022, 2027, 7271, 540, 6604, 3564, 1434, 8343, 540, 2550, 689, 519, 1920, 1604, 610, 689, 519, 11361, 15637, 585, 519, 1101, 4191, 543, 2589, 269, 5525, 2303, 602, 972, 616, 513, 1297, 540, 2188, 602, 952, 5265, 4294, 666, 2569, 519, 1981, 540, 12110, 563, 5415, 4481, 267, 2635, 11335, 2732, 267, 1852, 540, 1973, 2604, 267, 1560, 2597, 267, 1973, 4006, 543, 8501, 2157, 4324, 1312, 519, 2634, 543, 519, 9025, 1062, 269, 769, 1840, 267, 9836, 3635, 607, 1134, 607, 2790, 2534, 607, 1134, 607, 7589, 538, 1514, 2238, 948, 547, 2061, 12110, 4586, 1103, 519, 2063, 1906, 1296, 267, 3617, 2790, 16882, 3292, 723, 13175, 547, 581, 4294, 5001, 607, 1875, 14428, 1301, 11914, 7459, 269, 4256, 1292, 3483, 568, 547, 24644, 543, 5693, 2087, 519, 5042, 4567, 540, 2550, 998, 519, 946, 540, 5042, 3252, 602, 616, 1869, 693, 25685, 2157, 1496, 2641, 268, 2537, 14073, 4322, 3292, 616, 5631, 1759, 593, 519, 1585, 543, 2922, 2238, 538, 799, 519, 3461, 666, 7119, 269, 3414, 713, 7589, 267, 621, 568, 6913, 912, 268, 3040, 14412, 454, 268, 3040, 4201, 16860, 454, 268, 3040, 634, 13345, 540, 5042, 3252, 602, 2611, 693, 25685, 2157, 454, 268, 3040, 24367, 5042, 3252, 454, 268, 3040, 16237, 28517, 1582, 21873, 454, 268, 3040, 22994, 559, 1944, 519, 3461, 454, 268, 3040, 634, 4082, 540, 4664, 454, 268, 3040, 25947, 1920, 13218, 454, 268, 3040, 25947, 2298, 540, 1272, 4586, 11693, 519, 1164, 3928, 540, 19690, 538, 519, 2489, 2551, 267, 3978, 3800, 547, 2061, 12110, 1058, 581, 3144, 538, 971, 13685, 543, 5693, 811, 2090, 1058, 581, 5645, 856, 543, 585, 1256, 3476, 5712, 540, 942, 538, 1931, 547, 4628, 1174, 519, 6127, 602, 1860, 1063, 15779, 2634, 5945, 543, 12110, 269, 12207, 723, 1044, 1360, 11112, 538, 2487, 1296, 609, 15779, 2634, 5945, 543, 12110, 267, 865, 938, 1702, 540, 519, 1641, 814, 2799, 13497, 269, 16200, 543, 23674, 3646, 616, 1373, 1500, 547, 1118, 1256, 811, 1344, 2139, 593, 713, 15435, 267, 543, 1007, 811, 2500, 7459, 616, 4397, 538, 519, 2282, 2104, 563, 18183, 26555, 540, 1719, 454, 2171, 17551, 602, 649, 798, 711, 723, 1022, 4655, 540, 1719, 609, 519, 1657, 5018, 12377, 11643, 547, 454, 300, 7236, 10076, 3557, 22410, 630, 300, 5960, 292, 2567, 513, 6093, 1383, 4586, 296, 786, 2307, 596, 513, 1906, 2055, 547, 1294, 875, 707, 3965, 568, 912, 1892, 1548, 1032, 798, 649, 723, 888, 1892, 1548, 4005, 888, 1892, 1548, 3923, 888, 1892, 1215, 1454, 540, 519, 3923, 798, 649, 723, 888, 1892, 6904, 1554, 540, 519, 3018, 888, 1892, 769, 799, 2197, 616, 649, 538, 888, 1892, 6904, 2749, 3248, 1892, 769, 799, 3148, 610, 2232, 888, 1892, 3657, 596, 538, 519, 1034, 851, 693, 519, 4090, 888, 1892, 2201, 799, 6989, 454, 296, 786, 2995, 596, 476, 274, 1913, 602, 594, 1616, 596, 547, 10956, 1310, 803, 543, 3314, 873, 950, 594, 2307, 873, 1586, 912, 274, 269, 24517, 1674, 1315, 7872, 540, 1297, 532, 6411, 454, 7230, 913, 689, 476, 1911, 20422, 476, 278, 4559, 693, 513, 942, 1315, 17968, 281, 3503, 519, 2262, 834, 21830, 257, 26700, 1524, 912, 8923, 10956, 519, 476, 274, 1913, 594, 4280, 596, 1354, 912, 2171, 1397, 519, 3461, 476, 273, 3615, 543, 649, 2307, 873, 547, 2012, 873, 910, 1018, 568, 621, 888, 16485, 519, 3461, 547, 10956, 1310, 596, 912, 1892, 834, 8253, 952, 610, 711, 4840, 278, 269, 23840, 540, 1614, 5933, 454, 24876, 519, 3461, 513, 3043, 6656, 540, 1957, 543, 2995, 1864, 912, 1892, 6875, 519, 1957, 538, 707, 1318, 1688, 454, 1892, 674, 1245, 621, 538, 519, 1647, 454, 1892, 23680, 621, 593, 519, 6989, 454, 17004, 519, 3461, 513, 1957, 602, 3081, 834, 5141, 846, 2659, 28438, 13426, 1892, 7490, 798, 607, 621, 3081, 593, 519, 1957, 602, 594, 6415, 6029, 596, 454, 280, 269, 16790, 1603, 454, 24876, 519, 3461, 1957, 543, 15513, 543, 2161, 912, 1892, 7490, 2328, 513, 2347, 630, 332, 755, 2270, 513, 1641, 910, 8231, 994, 1892, 9105, 519, 3461, 547, 5299, 513, 1079, 17376, 784, 539, 20008, 6782, 3337, 454, 300, 5960, 292, 267, 607, 5018, 4505, 267, 568, 835, 540, 519, 1034, 4922, 5941, 543, 11451, 7608, 2110, 3856, 1449, 267, 998, 799, 519, 3461, 781, 5042, 1599, 568, 5462, 267, 609, 606, 5140, 6060, 540, 476, 1789, 2798, 538, 519, 2949, 6060, 269, 769, 2487, 1296, 267, 922, 946, 538, 4791, 2259, 814, 2799, 25921, 267, 607, 513, 2027, 10368, 1907, 267, 538, 16917, 8344, 2090, 543, 1256, 538, 4791, 1382, 547, 6895, 519, 1576, 540, 519, 2068, 538, 1931, 547, 2708, 519, 7145, 540, 9354, 7459, 269, 898, 568, 9266, 267, 607, 538, 1022, 1449, 23150, 267, 865, 538, 631, 5960, 292, 267, 972, 616, 19363, 267, 971, 607, 912, 1080, 1970, 8417, 547, 519, 5868, 540, 631, 843, 15465, 13081, 543, 519, 15285, 540, 4049, 543, 1360, 4049, 12110, 454, 1892, 4706, 8417, 547, 2085, 454, 1892, 12409, 1377, 543, 22874, 454, 1892, 634, 3668, 540, 1344, 593, 519, 5580, 1922, 4233 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2729, 563, 30787, 7464, 2065, 17644, 454, 16676, 5224, 519, 3408, 540, 4160, 543, 2566, 2359, 2553, 538, 519, 2376, 1412, 290, 4321, 5174, 324, 24173, 9828, 585, 17520, 543, 13262, 28057, 3299, 1577, 781, 1631, 5490, 883, 519, 2956, 540, 4259, 10853, 3853, 563, 30787, 24276, 3853, 568, 2629, 538, 5883, 4160, 543, 2566, 3927, 269, 1635, 4259, 10853, 3853, 267, 649, 666, 2057, 8380, 11991, 2604, 593, 6000, 543, 2569, 519, 10171, 540, 4743, 16397, 269, 3371, 616, 1614, 1883, 4128, 1946, 4259, 24276, 3853, 568, 1898, 912, 268, 19737, 6788, 281, 1879, 649, 1305, 10853, 3853, 267, 649, 666, 5447, 938, 6788, 609, 1018, 781, 15164, 543, 12492, 762, 269, 901, 2337, 721, 2057, 29359, 543, 17140, 950, 649, 1810, 1405, 2743, 32601, 6788, 563, 268, 8490, 6015, 281, 17553, 24276, 3853, 2636, 721, 547, 1995, 513, 2631, 540, 22920, 950, 649, 3914, 873, 269, 901, 25242, 938, 6015, 543, 4665, 919, 721, 547, 3136, 2324, 2509, 938, 6859, 563, 268, 26805, 2566, 281, 1133, 9418, 2065, 3853, 666, 1291, 547, 2799, 2566, 2157, 269, 1635, 4259, 10853, 3853, 267, 649, 666, 2569, 2566, 543, 2226, 513, 8902, 2790, 1533, 563, 17730, 513, 11545, 8682, 4211, 732, 13705, 710, 454, 2414, 1711, 513, 3232, 1582, 13282, 6296, 267, 621, 781, 1271, 547, 4225, 1250, 1134, 5630, 543, 6451, 2238, 602, 3895, 11005, 543, 29915, 566, 563, 30787, 6302, 568, 2629, 538, 4180, 602, 594, 4312, 942, 543, 2230, 585, 1582, 13282, 2238, 269, 901, 3322, 5693, 14379, 1250, 2115, 543, 7182, 547, 1866, 267, 543, 711, 21467, 868, 2056, 8885, 563, 20236, 13282, 2238, 666, 4268, 4470, 593, 1367, 7375, 267, 855, 930, 1455, 1806, 1331, 9066, 267, 10649, 267, 30998, 267, 2921, 31725, 267, 543, 2502, 538, 12348, 610, 2238, 602, 3142, 7772, 563, 2005, 781, 1898, 547, 3442, 2238, 602, 16138, 880, 1312, 519, 2247, 543, 1560, 563, 8794, 15474, 10500, 3305, 725, 454, 1103, 519, 2376, 593, 15465, 5174, 324, 24173, 9828, 585, 17520, 543, 13262, 28057, 267, 649, 1631, 5490, 883, 519, 946, 540, 2318, 14751, 725, 269, 15474, 1582, 2389, 1779, 543, 3232, 14751, 725, 616, 3532, 2645, 602, 666, 948, 2569, 4160, 543, 2566, 267, 543, 3895, 513, 811, 2318, 14820, 269, 3371, 616, 1614, 4128, 1946, 6220, 2318, 14751, 725, 883, 707, 3232, 6296, 666, 581, 6225, 912, 268, 4425, 24031, 1582, 21873, 281, 1635, 18110, 2318, 6898, 827, 3054, 267, 971, 607, 1412, 296, 993, 5827, 543, 964, 6326, 540, 1967, 3299, 596, 666, 12927, 707, 1582, 1532, 601, 3971, 543, 2333, 707, 6015, 2157, 563, 268, 21744, 2942, 2219, 3270, 281, 15474, 14751, 725, 666, 948, 4161, 543, 5372, 2942, 4555, 609, 811, 2318, 543, 16779, 3283, 269, 1280, 1383, 267, 13868, 1412, 296, 666, 1405, 6023, 713, 262, 609, 1412, 296, 993, 2178, 543, 5827, 540, 20408, 2591, 262, 666, 6521, 707, 14820, 543, 2569, 4160, 563, 268, 4980, 22899, 513, 2318, 14820, 281, 11545, 14751, 725, 666, 948, 596, 1445, 593, 519, 2318, 3344, 540, 707, 1272, 543, 948, 596, 1020, 513, 811, 23904, 19773, 269, 1635, 9846, 22348, 3054, 540, 707, 9342, 543, 18517, 267, 596, 666, 1628, 6043, 543, 2087, 707, 2949, 1134, 5630, 563, 28885, 2318, 14751, 725, 883, 707, 3232, 6296, 666, 581, 513, 2241, 2943, 2500, 1259, 547, 8396, 4160, 543, 2566, 267, 543, 3895, 513, 811, 2318, 14820, 269, 5457, 547, 3442, 14751, 725, 602, 13469, 609, 596, 13948, 543, 10956, 873, 9846, 585, 5021, 1764, 563, 25363, 13586, 5384, 5004, 11150, 454, 2026, 2576, 20678, 547, 2569, 4160, 543, 2566, 267, 594, 1265, 621, 5363, 547, 6451, 942, 2359, 2994, 883, 1250, 3232, 6296, 563, 11742, 17527, 568, 513, 4480, 594, 946, 547, 21138, 1808, 942, 5712, 585, 1114, 4247, 269, 1635, 26471, 7161, 540, 942, 585, 2238, 971, 607, 960, 267, 3635, 267, 543, 11005, 267, 594, 666, 1732, 4383, 1250, 8430, 543, 2327, 602, 594, 4312, 6131, 942, 585, 3388, 602, 781, 1271, 547, 803, 563, 26212, 527, 1944, 4247, 568, 1776, 1271, 2460, 540, 2500, 942, 2359, 269, 594, 1118, 513, 547, 28273, 1592, 543, 2697, 519, 1034, 2565, 4247, 602, 991, 547, 581, 6192, 1101, 269, 901, 2337, 803, 1445, 593, 519, 1034, 1271, 3688, 543, 6971, 519, 4743, 540, 1373, 16397, 563, 303, 847, 6005, 2667, 1068, 4369, 9828, 454, 303, 847, 6005, 7682, 4369, 2553, 568, 2629, 585, 5883, 4160, 543, 2566, 563, 10112, 1068, 4369, 2636, 2043, 547, 2769, 741, 2115, 267, 6499, 267, 543, 6302, 538, 513, 2312, 543, 16614, 6073, 563, 1103, 1514, 3871, 267, 7682, 4369, 666, 948, 1628, 1582, 21873, 267, 2087, 2792, 267, 543, 3715, 2635, 3347, 563, 27735, 540, 2667, 1068, 4369, 454, 2414, 3927, 4383, 4160, 543, 2566, 267, 621, 781, 2629, 585, 2043, 547, 1020, 543, 8415, 7682, 4369, 2553, 269, 2667, 1068, 4369, 568, 519, 2702, 547, 2769, 13951, 18390, 543, 2047, 267, 1247, 18245, 519, 2924, 543, 6302, 540, 1866, 269, 898, 4249, 513, 1713, 1909, 538, 4509, 2635, 3347, 267, 4227, 4655, 267, 543, 7393, 2949, 1134, 5630, 563, 2080, 616, 1614, 1883, 4128, 1946, 7682, 4369, 568, 1271, 538, 5883, 4160, 543, 2566, 912, 268, 20865, 2792, 281, 2667, 1068, 4369, 2636, 2043, 547, 3927, 5968, 741, 2115, 267, 6499, 267, 543, 4145, 267, 3056, 547, 3152, 1620, 543, 6571, 540, 7526, 563, 268, 16842, 1582, 21873, 281, 2667, 1068, 4369, 2866, 2337, 2043, 1020, 513, 2631, 540, 1582, 12431, 4269, 267, 16779, 873, 547, 2769, 741, 8369, 543, 7682, 741, 6302, 267, 3976, 4227, 4160, 543, 2566, 563, 268, 21940, 776, 4259, 281, 2667, 1068, 4369, 6087, 2043, 547, 3715, 2312, 6302, 267, 7303, 1866, 689, 2921, 5413, 543, 4227, 4606, 540, 8267, 332, 543, 2566, 563, 10112, 1068, 4369, 538, 4317, 32163, 725, 454, 296, 18390, 2769, 8885, 538, 1514, 3871, 267, 9001, 7682, 4369, 2553, 547, 3927, 6330, 4205, 543, 4383, 4160, 543, 2566, 269, 8490, 6015, 568, 606, 1271, 2460, 540, 7682, 4369, 267, 607, 621, 2636, 803, 547, 3717, 909, 543, 7682, 1250, 2115, 543, 6302, 563, 19931, 2792, 568, 1883, 538, 7682, 532, 13951, 538, 1514, 3871, 269, 1635, 5693, 11589, 1250, 4555, 267, 4606, 267, 543, 13821, 267, 594, 666, 2327, 602, 1250, 5048, 568, 6956, 676, 1866, 269, 901, 711, 1152, 2337, 803, 1745, 811, 538, 1852, 267, 855, 849, 11942, 8902, 543, 811, 8076, 3347, 269, 2667, 1068, 4369, 2553, 971, 607, 1210, 1412, 296, 262, 6898, 267, 3742, 6947, 267, 543, 4509, 3750, 3346, 616, 2500, 2081, 547, 3986, 2792, 543, 7682, 13951, 18390, 563, 3528, 6220, 891, 2553, 267, 594, 666, 6330, 1514, 3871, 609, 8897, 543, 2569, 4160, 543, 2566, 563, 9558, 819, 532, 883, 519, 1985, 3296, 267, 9001, 1966, 9010, 1983, 1264, 906, 7682, 4369, 676, 4543, 803, 2232, 543, 8207, 1022, 7526, 610, 2591, 602, 949, 8451, 538, 1514, 4205, 563, 25219, 559, 1944, 9046, 4149, 6295, 10341, 454, 2691, 5185, 609, 4160, 610, 2566, 267, 9001, 1966, 9010, 1983, 2636, 803, 547, 3927, 2232, 543, 7753, 519, 2591, 693, 1688, 269, 9046, 9010, 2994, 616, 1898, 12003, 6127, 602, 5512, 803, 547, 1935, 2352, 3871, 538, 513, 11295, 543, 9266, 6073, 563, 2080, 616, 1614, 1883, 2081, 538, 799, 1966, 9010, 1983, 666, 948, 538, 5883, 4160, 543, 2566, 912, 268, 17291, 519, 1966, 281, 1635, 8840, 1524, 519, 3510, 543, 5693, 10747, 519, 1966, 267, 594, 6415, 2111, 547, 2744, 513, 1732, 1620, 540, 1018, 2115, 547, 581, 9619, 563, 268, 9198, 908, 3435, 281, 4495, 519, 1966, 568, 4857, 267, 594, 666, 16540, 1761, 3435, 543, 6218, 741, 23250, 543, 7145, 563, 268, 14171, 2962, 281, 2991, 8939, 519, 1655, 3070, 267, 594, 666, 2936, 621, 543, 6895, 519, 6364, 269, 901, 3742, 1935, 16877, 803, 547, 1491, 1852, 543, 2569, 4160, 563, 22711, 532, 585, 8682, 7304, 1030, 3005, 454, 3080, 2500, 1259, 547, 4497, 538, 1582, 26190, 543, 3895, 3929, 1134, 5630, 568, 998, 519, 2259, 540, 30998, 269, 4750, 532, 2636, 585, 513, 4357, 543, 1875, 9080, 8540, 531, 2230, 547, 2263, 543, 1184, 835, 781, 4555, 267, 4606, 267, 543, 2833, 269, 898, 3091, 513, 21318, 540, 2640, 585, 1582, 26190, 543, 2123, 2208, 563, 20058, 267, 30998, 2488, 606, 4316, 547, 2744, 5813, 883, 13951, 269, 1635, 8380, 4050, 547, 1957, 267, 649, 666, 24808, 543, 10891, 938, 4555, 267, 799, 2337, 721, 2697, 3270, 267, 12153, 267, 543, 18596, 4798, 538, 938, 2729, 269, 901, 1582, 18221, 568, 2629, 585, 2123, 1646, 543, 1818, 2318, 2242, 563, 12234, 267, 30998, 666, 4196, 607, 513, 9354, 17752, 585, 3929, 5305, 269, 5675, 827, 938, 12194, 267, 32370, 267, 543, 21500, 2636, 721, 547, 5305, 20008, 5346, 4664, 543, 2744, 513, 2631, 540, 8323, 269, 898, 666, 581, 513, 18216, 691, 545, 1995, 602, 2337, 547, 2569, 4160, 543, 3895, 2949, 1134, 5630, 563, 2691, 621, 2501, 547, 30998, 2553, 267, 972, 616, 1100, 2182, 543, 3728, 3652, 269, 898, 781, 513, 2123, 2259, 602, 666, 581, 9862, 547, 9290, 1367, 7375, 269, 2368, 1004, 1265, 621, 5363, 547, 2328, 538, 513, 6908, 6361, 23655, 1145, 2511, 267, 3850, 741, 4555, 547, 2095, 11884, 1510, 10385, 610, 2497, 269, 11524, 949, 4782, 11461, 12987, 610, 1808, 30998, 5751, 547, 1445, 741, 18759, 269, 15331, 532, 609, 1114, 2553, 666, 948, 1265, 1018, 1568, 1655, 585, 596, 563, 5353, 22701, 8081, 3245, 700, 3437, 2201, 525, 454, 28874, 689, 6068, 3283, 666, 581, 513, 2629, 4199, 538, 5883, 4160, 543, 2566, 269, 1879, 6849, 891, 2591, 267, 621, 781, 1271, 547, 10709, 593, 519, 1004, 945, 1416, 827, 596, 269, 3371, 616, 1614, 2081, 6068, 3283, 666, 1683, 1489, 912, 268, 16508, 1489, 281, 700, 3437, 3283, 666, 2709, 513, 6947, 1274, 543, 513, 13105, 547, 10709, 593, 269, 1358, 666, 1683, 4313, 267, 1620, 267, 543, 6568, 1282, 2352, 2053, 563, 268, 19750, 1489, 281, 700, 3437, 3283, 666, 948, 609, 3232, 4247, 543, 9021, 267, 4227, 519, 11411, 593, 596, 269, 1358, 666, 4217, 609, 1126, 3249, 267, 7622, 26050, 267, 610, 4881, 2144, 571, 2738, 267, 3850, 596, 547, 1445, 593, 1582, 13282, 563, 268, 11559, 618, 547, 3343, 3318, 948, 281, 700, 3437, 3283, 666, 1404, 513, 4105, 1909, 538, 8716, 596, 547, 3343, 1489, 3564, 741, 1378, 7207, 269, 1358, 666, 2303, 11836, 1489, 2516, 610, 5275, 3318, 13508, 267, 799, 666, 2709, 7463, 5583, 543, 2994, 585, 5883, 4160, 543, 2566, 563, 28885, 8447, 11644, 20553, 11545, 13705, 710, 454, 296, 1265, 621, 5363, 547, 6451, 2834, 2168, 3635, 883, 1250, 3232, 6296, 607, 513, 1259, 547, 4383, 4160, 543, 2566, 563, 11073, 21830, 3635, 267, 538, 1880, 267, 3091, 3875, 2640, 585, 2790, 1134, 5630, 269, 3194, 814, 3254, 602, 1373, 538, 2470, 666, 2569, 2589, 540, 4160, 543, 4965, 543, 2087, 2949, 7099, 269, 634, 4195, 2011, 543, 2067, 10450, 1683, 513, 22196, 1198, 267, 4543, 547, 13468, 2566, 543, 3895, 11005, 269, 3958, 267, 9205, 3635, 3091, 519, 4316, 547, 27653, 909, 6171, 667, 689, 519, 3141, 267, 799, 814, 1044, 5532, 547, 4824, 2790, 1072, 563, 4913, 267, 4466, 8404, 547, 3635, 5781, 666, 581, 4101, 269, 17553, 10853, 3853, 267, 4466, 2238, 602, 596, 2972, 267, 543, 2870, 513, 6296, 666, 948, 2226, 11007, 269, 898, 949, 849, 581, 5363, 547, 1265, 606, 3635, 14609, 344, 610, 6443, 513, 1895, 1362, 547, 3251, 12592, 543, 18177, 563, 21761, 18542, 5999, 454, 1692, 2052, 594, 10576, 17832, 3455, 32438, 2334, 19928, 1393, 547, 3733, 17520, 543, 13262, 888, 2414, 2697, 9594, 4555, 602, 3565, 547, 1250, 4160, 543, 2566, 267, 594, 2259, 11009, 2553, 269, 1635, 9878, 3007, 547, 1250, 4555, 267, 594, 666, 7747, 3270, 543, 5431, 519, 4555, 602, 616, 4929, 11605, 563, 1432, 3657, 2368, 13229, 9828, 585, 5668, 27701, 20134, 27801, 338, 543, 1234, 680, 5217, 23067, 2060, 15474, 2201, 525, 888, 2691, 621, 2501, 547, 4101, 2942, 4978, 543, 13868, 873, 609, 2318, 3283, 267, 594, 1265, 602, 1210, 5042, 15515, 24173, 2553, 666, 581, 11212, 5363, 269, 1635, 7114, 543, 15819, 1250, 2942, 4555, 267, 594, 666, 1711, 1007, 267, 811, 2318, 4978, 998, 14751, 725, 563, 1692, 1684, 12213, 22165, 3107, 20113, 6435, 538, 4039, 773, 1324, 17520, 543, 13262, 888, 28308, 7244, 5751, 267, 971, 607, 11009, 9066, 267, 948, 14867, 4160, 543, 2566, 676, 1437, 908, 519, 1560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1040, 901, 1797, 602, 519, 6340, 543, 3206, 1641, 734, 7224, 1447, 982, 519, 15392, 1641, 734, 529, 606, 22993, 16045, 538, 519, 3618, 569, 8852, 540, 519, 5039, 1670, 1272, 16447, 267, 711, 1175, 513, 1033, 3737, 524, 690, 17010, 563, 32701, 267, 8585, 548, 879, 6261, 517, 1399, 791, 4680, 513, 1713, 20159, 593, 519, 954, 22366, 1145, 540, 1641, 543, 1843, 912, 314, 310, 316, 324, 12038, 14805, 3320, 540, 513, 10941, 2225, 540, 519, 7487, 543, 519, 7298, 267, 540, 519, 15700, 543, 519, 20109, 269, 898, 568, 942, 547, 11168, 602, 621, 568, 513, 10941, 2225, 2141, 31873, 543, 2760, 7691, 538, 1249, 269, 3733, 2451, 1688, 568, 2141, 593, 519, 2357, 613, 540, 15700, 1250, 1318, 1688, 15700, 519, 1919, 267, 855, 594, 2760, 3914, 14626, 2064, 282, 519, 14626, 2064, 17772, 2354, 525, 693, 519, 4090, 540, 20185, 267, 543, 835, 540, 1079, 1919, 2141, 4386, 281, 2901, 1250, 1318, 1688, 2731, 10596, 936, 547, 519, 7584, 540, 519, 20109, 1496, 2041, 3699, 606, 1843, 3910, 855, 1287, 922, 3180, 593, 519, 1158, 568, 29169, 1496, 527, 568, 1100, 3476, 513, 1641, 22049, 610, 621, 25601, 922, 3180, 593, 519, 1158, 1496, 8145, 1622, 513, 1641, 3910, 855, 1287, 594, 798, 711, 2731, 5905, 621, 734, 3240, 1318, 1688, 15700, 282, 594, 27621, 622, 609, 1250, 2451, 1688, 1152, 922, 9018, 8720, 269, 630, 3422, 279, 267, 476, 15704, 268, 16825, 994, 1103, 824, 1913, 267, 1247, 1018, 729, 1641, 666, 581, 1634, 607, 1843, 513, 4090, 2663, 267, 594, 3112, 917, 1641, 2032, 607, 971, 269, 634, 1641, 568, 1869, 519, 835, 945, 1281, 519, 6616, 267, 1247, 519, 1843, 3788, 602, 799, 568, 1634, 563, 7343, 30068, 1287, 267, 519, 15982, 25262, 640, 540, 1641, 543, 1843, 267, 741, 9488, 4707, 1303, 342, 710, 618, 267, 1281, 711, 1039, 909, 547, 513, 21055, 12760, 267, 693, 2547, 711, 538, 2474, 540, 1018, 3425, 666, 1995, 269, 1677, 581, 2386, 267, 593, 8585, 548, 879, 6261, 517, 1399, 781, 2272, 267, 1641, 543, 1843, 616, 931, 1481, 710, 3585, 13615, 547, 835, 1776, 282, 789, 7119, 4628, 538, 519, 1482, 1931, 540, 9861, 269, 2060, 2370, 7411, 267, 1641, 666, 1831, 1843, 543, 13030, 17930, 267, 543, 713, 13306, 6438, 10941, 2225, 1140, 3949, 547, 519, 1973, 1532, 1180, 27808, 569, 796, 1746, 873, 269, 8616, 834, 1492, 554, 16636, 1063, 873, 267, 4396, 267, 796, 3333, 820, 762, 267, 3267, 1496, 8145, 1622, 316, 3352, 8145, 2664, 2406, 6456, 689, 803, 257, 630, 3422, 279, 267, 476, 16825, 1040, 1924, 267, 2687, 547, 8585, 548, 879, 6261, 517, 1399, 267, 519, 10465, 12270, 1641, 543, 1843, 6585, 6109, 538, 1250, 1995, 540, 873, 282, 538, 8429, 689, 835, 547, 519, 824, 267, 8209, 267, 972, 568, 513, 2736, 538, 1250, 4656, 267, 543, 713, 7934, 1140, 3949, 547, 741, 8994, 17181, 689, 1142, 824, 269, 8585, 548, 879, 6261, 517, 1399, 1281, 979, 593, 547, 2161, 602, 834, 10472, 554, 9332, 639, 1063, 1250, 1318, 1688, 20109, 543, 1250, 1318, 1688, 15700, 3267, 568, 711, 606, 23835, 1670, 20704, 267, 513, 1875, 5630, 281, 621, 568, 838, 10165, 676, 519, 2698, 1373, 540, 1250, 1560, 267, 543, 676, 602, 540, 519, 1158, 257, 630, 16825, 1040, 12846, 267, 1247, 972, 949, 711, 581, 606, 23835, 1670, 20704, 267, 519, 27229, 834, 597, 8145, 2664, 762, 257, 26381, 1670, 20704, 646, 29102, 1131, 581, 3833, 2614, 547, 11014, 2061, 519, 20185, 540, 2407, 1922, 1194, 3022, 1641, 268, 15953, 18595, 710, 618, 563, 763, 5039, 531, 1915, 540, 519, 6521, 689, 1318, 1688, 15700, 547, 1318, 1688, 20109, 267, 689, 1641, 547, 1843, 267, 3330, 547, 3544, 267, 568, 13269, 609, 11599, 8856, 538, 519, 3026, 14982, 2275, 4209, 6521, 538, 5133, 13296, 1142, 3068, 602, 1185, 7902, 607, 606, 6418, 2627, 1631, 6799, 3294, 607, 606, 9018, 2627, 267, 543, 13030, 17930, 269, 1656, 952, 649, 2070, 519, 13306, 538, 938, 22232, 1259, 540, 13156, 1919, 267, 519, 20159, 13684, 676, 8585, 548, 879, 6261, 2632, 1014, 10941, 2225, 568, 6157, 6462, 281, 834, 1492, 554, 16636, 1063, 1496, 11825, 19912, 3910, 4396, 267, 796, 3333, 820, 762, 11783, 1496, 8145, 1622, 316, 3352, 8145, 2664, 2406, 6456, 1701, 1809, 519, 1249, 568, 602, 649, 666, 979, 513, 1900, 2417, 538, 938, 8226, 540, 519, 13306, 269, 5502, 540, 3850, 938, 16145, 547, 8806, 14251, 622, 689, 835, 5133, 547, 519, 824, 267, 649, 2965, 666, 2736, 713, 3308, 4356, 543, 2070, 1312, 5380, 540, 519, 13306, 693, 2899, 563, 1103, 7612, 476, 273, 321, 267, 594, 4312, 3773, 930, 4320, 547, 519, 3026, 14982, 13306, 267, 15123, 1117, 621, 856, 513, 3787, 269, 901, 14842, 1058, 1118, 621, 4443, 585, 596, 547, 1294, 1018, 594, 993, 6158, 827, 269, 1879, 519, 13306, 781, 5380, 616, 7471, 607, 594, 993, 11021, 267, 972, 568, 606, 4608, 15967, 2631, 540, 1582, 1790, 523, 564, 1674, 282, 519, 13306, 5526, 547, 798, 519, 7543, 267, 547, 979, 998, 3294, 269, 3371, 734, 520, 2547, 3090, 1227, 734, 1492, 6498, 540, 3330, 543, 856, 267, 540, 1641, 543, 1843, 267, 568, 1147, 25236, 539, 538, 519, 5137, 540, 606, 23913, 2497, 4171, 15852, 5380, 616, 8195, 2016, 563, 3719, 519, 2262, 834, 13678, 6714, 748, 257, 949, 711, 4010, 3514, 269, 594, 993, 3981, 532, 602, 649, 666, 25370, 9150, 519, 13306, 538, 971, 513, 1259, 602, 922, 18312, 16752, 16937, 538, 942, 607, 1134, 607, 538, 2230, 269, 1809, 1018, 649, 2965, 1995, 950, 713, 4523, 568, 711, 7235, 640, 538, 519, 8723, 2631, 540, 11979, 5104, 868, 777, 3789, 269, 1284, 798, 711, 7237, 15852, 5380, 609, 519, 1482, 4059, 2329, 607, 5515, 17729, 2427, 676, 2427, 538, 2230, 267, 5515, 602, 30598, 538, 606, 8216, 540, 942, 3274, 1455, 547, 873, 630, 553, 798, 519, 1913, 9102, 593, 713, 2985, 267, 585, 1383, 1040, 1403, 519, 14626, 2064, 540, 519, 13306, 781, 5380, 941, 3908, 547, 602, 267, 8585, 548, 879, 6261, 517, 1399, 6157, 1131, 581, 1318, 547, 2161, 602, 971, 1727, 657, 2572, 1223, 834, 6866, 3914, 14626, 2064, 1701, 1809, 972, 568, 8197, 513, 14626, 2064, 538, 519, 32687, 1259, 540, 13156, 519, 13306, 267, 585, 5380, 616, 711, 1644, 538, 2241, 13796, 19588, 630, 14140, 835, 267, 1287, 519, 824, 264, 1022, 811, 982, 538, 8901, 7235, 640, 269, 1403, 15852, 8188, 616, 711, 5612, 1071, 1790, 6974, 267, 9444, 798, 789, 30035, 2933, 8806, 1583, 9332, 574, 267, 538, 519, 608, 27238, 25358, 6752, 540, 5276, 5311, 269, 5502, 519, 6935, 568, 835, 540, 4835, 25019, 267, 540, 519, 8994, 15449, 566, 540, 1727, 657, 2572, 269, 21126, 616, 9787, 539, 607, 11579, 7992, 1142, 824, 538, 513, 6073, 602, 24025, 2230, 543, 942, 865, 4625, 602, 789, 616, 1100, 3476, 25992, 538, 741, 5432, 267, 11008, 1227, 27524, 582, 558, 1242, 3029, 269, 1411, 666, 1294, 713, 1034, 11593, 538, 13156, 7612, 476, 273, 321, 269, 1879, 596, 4584, 909, 593, 519, 9642, 2631, 540, 1582, 1790, 523, 564, 1674, 540, 713, 16957, 569, 834, 11069, 6372, 257, 4137, 267, 596, 1995, 922, 1079, 23857, 9444, 3274, 693, 2899, 267, 6862, 835, 3274, 4553, 676, 519, 824, 267, 607, 538, 519, 8723, 267, 9389, 958, 7745, 6073, 540, 8226, 282, 2864, 267, 596, 25370, 9150, 519, 6422, 26399, 543, 19459, 540, 5380, 269, 272, 454, 32701, 267, 519, 3026, 14982, 13306, 1281, 723, 922, 7687, 607, 606, 11599, 1129, 268, 557, 327, 1834, 602, 1223, 2285, 2407, 4082, 547, 9861, 269, 1280, 267, 1247, 519, 26399, 540, 1641, 543, 1843, 568, 8197, 3927, 3090, 1242, 676, 519, 26399, 540, 3330, 543, 3544, 6700, 538, 519, 32687, 1259, 540, 13156, 519, 13306, 267, 519, 6405, 1249, 568, 602, 519, 13306, 3294, 5526, 607, 855, 606, 1843, 5641, 1354, 938, 1033, 3737, 22401, 269, 634, 1641, 2032, 540, 646, 610, 1352, 945, 5784, 519, 13306, 568, 711, 8126, 4601, 26582, 538, 519, 1641, 268, 15953, 32421, 602, 568, 13269, 563, 15152, 2391, 713, 771, 329, 4233, 568, 519, 3815, 540, 10155, 269, 634, 2596, 13306, 630, 325, 12127, 269, 476, 272, 321, 543, 476, 273, 320, 264, 568, 513, 835, 8820, 1899, 5373, 11251, 538, 1079, 8820, 2230, 630, 1492, 6366, 2627, 540, 519, 2985, 1040, 4475, 267, 1498, 519, 8226, 540, 519, 13306, 1138, 12885, 938, 1995, 609, 4396, 9988, 538, 1614, 8820, 2230, 267, 519, 13306, 607, 971, 568, 6157, 1100, 4396, 269, 769, 938, 1614, 8820, 2796, 267, 950, 519, 13306, 568, 3144, 12777, 2864, 982, 3090, 1227, 267, 621, 568, 3976, 1175, 606, 1843, 594, 2992, 2390, 267, 835, 602, 5526, 1354, 803, 267, 513, 1373, 602, 568, 4931, 30533, 539, 267, 6806, 883, 3294, 267, 6806, 1055, 689, 519, 27808, 1145, 540, 713, 1614, 8820, 1641, 2032, 602, 1281, 519, 10452, 269, 1924, 519, 1098, 704, 1889, 566, 540, 1641, 543, 1843, 8984, 540, 9861, 3112, 4628, 581, 9447, 676, 513, 10155, 958, 16283, 1129, 268, 557, 327, 1834, 899, 519, 3026, 14982, 13306, 269, 1772, 621, 2009, 602, 267, 952, 513, 2362, 8820, 4528, 540, 519, 13306, 941, 2139, 267, 649, 1131, 581, 2111, 547, 979, 2417, 888, 296, 2303, 519, 2626, 568, 9811, 269, 594, 15974, 602, 649, 1223, 979, 3564, 513, 8806, 7493, 543, 1843, 4328, 1542, 566, 540, 9861, 952, 513, 4396, 267, 2407, 1922, 956, 1117, 267, 1614, 8820, 11218, 540, 519, 13306, 941, 3015, 547, 721, 607, 938, 1129, 269, 901, 19433, 673, 5033, 8438, 1560, 1223, 581, 1224, 538, 971, 513, 1259, 602, 1247, 7555, 1354, 721, 267, 621, 1131, 849, 1796, 1369, 721, 269, 898, 1131, 1459, 3294, 547, 721, 689, 519, 6418, 4295, 540, 3294, 543, 649, 1131, 5431, 602, 4295, 607, 938, 1378, 269, 2334, 568, 547, 2161, 267, 519, 1614, 8820, 1843, 7674, 607, 938, 1129, 543, 519, 10155, 7587, 5024, 938, 1641, 2032, 1131, 581, 19039, 569, 1930, 547, 835, 1776, 267, 1131, 15449, 622, 1142, 824, 538, 606, 796, 984, 560, 1192, 539, 267, 3808, 1652, 5385, 269, 4935, 267, 6466, 649, 798, 711, 834, 331, 846, 938, 1843, 2032, 257, 538, 3372, 643, 958, 10128, 519, 835, 8820, 13306, 267, 6466, 519, 7471, 13156, 540, 713, 1843, 1281, 711, 7854, 938, 1378, 16148, 13156, 1184, 267, 519, 3372, 2526, 5610, 540, 513, 1614, 8820, 1560, 1131, 581, 1114, 269, 3767, 5610, 540, 1018, 568, 834, 719, 972, 257, 1131, 581, 6913, 998, 513, 1184, 602, 1131, 4163, 721, 1394, 547, 1018, 6013, 834, 514, 1934, 2437, 547, 938, 1378, 2173, 739, 5030, 1641, 2032, 267, 602, 568, 734, 1729, 519, 1016, 268, 15953, 2032, 540, 9861, 563, 763, 5033, 8438, 1995, 594, 993, 740, 636, 1962, 908, 1058, 581, 1945, 899, 519, 15982, 7237, 594, 4330, 4505, 267, 1250, 21599, 538, 519, 12667, 2592, 540, 1250, 6689, 4605, 1433, 269, 1809, 972, 568, 513, 2629, 3017, 269, 3767, 267, 607, 513, 14436, 2937, 267, 594, 1131, 711, 3274, 581, 535, 4310, 609, 519, 1129, 855, 29596, 9674, 689, 621, 607, 1134, 267, 513, 12760, 1510, 10539, 269, 1677, 2744, 2417, 5813, 883, 519, 1614, 8820, 1560, 540, 19433, 602, 1131, 4196, 607, 938, 1129, 267, 1577, 721, 1246, 8585, 548, 879, 6261, 517, 1399, 781, 2034, 23319, 585, 3927, 1129, 4328, 519, 19433, 540, 9861, 563, 274, 269, 273, 5440, 1108, 630, 273, 994, 1103, 513, 16861, 2324, 4063, 585, 634, 6250, 1043, 543, 519, 769, 6665, 1043, 2854, 538, 5239, 476, 4198, 280, 267, 8585, 548, 879, 6261, 517, 1399, 25009, 5128, 607, 5205, 912, 12648, 30490, 2230, 607, 513, 2203, 540, 1373, 269, 634, 28070, 2230, 568, 519, 2203, 585, 1496, 728, 531, 1242, 316, 3372, 2526, 1373, 1496, 663, 568, 5812, 316, 3267, 609, 519, 8106, 23835, 1108, 2807, 634, 30490, 2230, 267, 593, 519, 14669, 3267, 1496, 326, 1161, 316, 519, 3239, 540, 513, 1373, 602, 3267, 568, 693, 519, 1482, 942, 4587, 982, 3388, 543, 1412, 1993, 519, 1101, 1554, 262, 630, 295, 1122, 601, 264, 2807, 1496, 12749, 1670, 2230, 316, 568, 11402, 711, 1152, 693, 519, 1377, 540, 519, 2168, 1158, 267, 855, 1586, 621, 568, 7587, 5737, 540, 1272, 267, 543, 6368, 621, 1336, 338, 519, 3552, 6240, 540, 8298, 657, 734, 2005, 568, 713, 3552, 610, 1490, 1393, 1373, 602, 18060, 525, 693, 782, 2157, 547, 7753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4159, 873, 912, 2252, 972, 568, 513, 2638, 2907, 6029, 267, 14467, 20233, 719, 6182, 1749, 786, 12404, 873, 912, 2791, 666, 849, 946, 519, 13691, 31930, 547, 547, 24327, 20233, 719, 6182, 1749, 281, 5839, 5308, 281, 6513, 717, 269, 8837, 281, 595, 27530, 29196, 476, 275, 563, 1432, 568, 5100, 5542, 538, 674, 7950, 888, 2171, 1289, 621, 12829, 19139, 621, 2337, 596, 4188, 19437, 543, 11460, 540, 2789, 3688, 538, 513, 5542, 540, 3615, 593, 519, 17198, 609, 8897, 267, 1851, 824, 1919, 269, 6056, 540, 621, 607, 513, 1379, 5346, 269, 898, 3947, 596, 519, 5191, 547, 1445, 593, 519, 30304, 540, 707, 3860, 1184, 267, 2864, 982, 519, 1295, 583, 23706, 563, 1692, 798, 596, 1711, 513, 4806, 538, 674, 7950, 888, 1692, 798, 596, 26134, 606, 3693, 538, 674, 7950, 593, 1312, 5839, 657, 543, 8837, 6606, 888, 15675, 543, 5299, 606, 1843, 1210, 519, 13691, 30246, 912, 21547, 281, 16710, 595, 563, 20360, 3298, 281, 6513, 1341, 595, 563, 1692, 798, 596, 26134, 513, 4494, 538, 674, 7950, 888, 291, 340, 2364, 908, 6106, 1677, 26134, 519, 4494, 2824, 519, 4494, 543, 26840, 8749, 621, 269, 2991, 2072, 596, 666, 946, 595, 30113, 1341, 667, 547, 1118, 1256, 811, 12215, 563, 1692, 798, 594, 5299, 513, 10697, 538, 674, 7950, 888, 17387, 547, 674, 7950, 454, 15411, 519, 1907, 596, 1616, 547, 2824, 707, 6106, 689, 563, 15675, 519, 2609, 596, 1616, 547, 5299, 563, 290, 4878, 519, 2609, 547, 707, 17157, 4580, 281, 769, 16503, 15249, 267, 2824, 25767, 769, 28220, 267, 2824, 25767, 607, 25789, 294, 769, 674, 7950, 267, 2824, 25767, 6693, 15411, 519, 674, 7950, 11711, 538, 519, 15503, 563, 303, 4292, 519, 6106, 610, 25789, 19199, 883, 519, 2052, 11663, 563, 9989, 14950, 3429, 1039, 547, 519, 8700, 540, 606, 3693, 888, 303, 32061, 543, 27100, 654, 5954, 634, 1543, 1858, 568, 519, 6712, 3330, 519, 14950, 3429, 267, 8473, 267, 543, 14345, 540, 606, 3693, 630, 1492, 4216, 2203, 1040, 1924, 267, 952, 606, 3693, 814, 513, 9138, 8700, 267, 519, 14950, 3429, 3773, 547, 602, 3693, 786, 581, 3773, 547, 519, 2698, 8700, 540, 519, 3693, 563, 9989, 14950, 3429, 2333, 8700, 888, 12179, 14950, 3429, 3773, 547, 519, 3693, 786, 2333, 519, 2698, 17223, 8700, 543, 5924, 4463, 540, 519, 3693, 10472, 568, 875, 519, 9949, 4216, 2203, 1568, 538, 14621, 547, 521, 1944, 519, 3693, 563, 3674, 621, 1732, 547, 946, 14345, 610, 14950, 3429, 888, 4415, 713, 538, 2247, 267, 513, 1434, 4341, 540, 14853, 568, 547, 946, 14345, 950, 596, 1616, 547, 2230, 606, 3693, 538, 2078, 547, 824, 2609, 593, 519, 3774, 267, 543, 14950, 3429, 950, 596, 2461, 14577, 519, 5920, 540, 519, 3693, 3294, 269, 12540, 514, 4465, 1406, 1689, 519, 2450, 540, 519, 3693, 267, 855, 14950, 3429, 786, 1118, 519, 3693, 8273, 272, 563, 1692, 798, 596, 1039, 2230, 1063, 1913, 538, 22898, 888, 9377, 1149, 519, 19437, 1063, 1913, 540, 513, 3625, 540, 1257, 563, 29239, 2262, 17898, 5217, 281, 3339, 282, 634, 19437, 1063, 519, 3197, 568, 3339, 269, 634, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 563, 5320, 17898, 5217, 281, 476, 276, 29210, 282, 1411, 666, 946, 18920, 2418, 269, 6693, 5320, 17898, 5217, 281, 476, 273, 655, 282, 1411, 666, 946, 900, 2418, 281, 713, 2636, 519, 19437, 547, 2611, 3448, 547, 519, 13944, 20695, 563, 1692, 798, 594, 2333, 1257, 19437, 888, 27087, 519, 19437, 1063, 3197, 454, 15675, 519, 1257, 602, 596, 1616, 547, 1689, 563, 4002, 519, 5851, 9184, 267, 4945, 519, 674, 2632, 12480, 690, 13340, 5487, 684, 7815, 267, 543, 1287, 4945, 519, 11628, 9184, 269, 6693, 1103, 519, 1975, 5217, 4216, 267, 4945, 30771, 539, 610, 9473, 10234, 267, 543, 1287, 14574, 875, 1454, 2230, 596, 1616, 538, 519, 1635, 4216, 563, 1692, 798, 594, 1039, 513, 2230, 538, 22898, 888, 16430, 1257, 23949, 550, 1280, 1383, 267, 547, 1039, 606, 25034, 540, 476, 275, 5624, 267, 4019, 519, 4341, 1257, 23949, 550, 281, 476, 275, 655, 282, 547, 519, 3693, 269, 1411, 666, 849, 946, 513, 1114, 3259, 1770, 899, 533, 343, 610, 4699, 267, 610, 1305, 519, 25034, 607, 513, 6871, 540, 519, 2985, 8700, 281, 14103, 563, 1432, 568, 519, 11344, 5223, 538, 674, 7950, 888, 2005, 21448, 519, 8850, 6383, 1007, 2990, 1315, 2450, 540, 707, 5542, 547, 519, 14282, 12750, 1512, 540, 476, 279, 269, 901, 666, 581, 3730, 267, 952, 596, 960, 538, 519, 476, 279, 29210, 25373, 269, 661, 3052, 12727, 476, 3445, 29210, 9847, 476, 10844, 29210, 267, 476, 9262, 29210, 9847, 476, 6434, 29210, 267, 3092, 2507, 0, 763, 13220, 585, 519, 3689, 10732, 538, 30766, 1331, 606, 2272, 540, 4906, 685, 15673, 725, 543, 942, 538, 519, 9390, 269, 3962, 942, 30616, 1661, 14186, 4906, 267, 646, 3096, 23075, 269, 4906, 20781, 609, 1010, 1378, 7097, 1116, 15102, 269, 7324, 824, 1919, 267, 621, 19595, 721, 602, 19978, 15102, 991, 7664, 585, 875, 547, 4019, 873, 547, 938, 1378, 2729, 269, 23075, 1797, 1945, 538, 519, 2796, 540, 513, 3677, 4612, 633, 2245, 267, 543, 849, 538, 519, 2796, 540, 938, 1378, 3347, 547, 2696, 269, 4906, 6487, 602, 519, 26881, 779, 946, 540, 519, 15102, 568, 968, 4752, 892, 1317, 540, 1010, 804, 4923, 612, 547, 519, 12429, 563, 288, 6249, 602, 8255, 998, 782, 1614, 540, 519, 15673, 725, 568, 1379, 269, 634, 10917, 614, 12134, 4906, 547, 2490, 6149, 883, 3694, 547, 4194, 1010, 1378, 14000, 267, 547, 16207, 5128, 1055, 519, 11454, 1612, 777, 564, 547, 6961, 602, 646, 2731, 568, 519, 31050, 267, 543, 547, 6367, 1524, 543, 10847, 30616, 538, 5385, 585, 2797, 1379, 269, 769, 1169, 2013, 267, 4906, 3954, 625, 602, 971, 2982, 540, 1379, 616, 851, 540, 1010, 5692, 269, 5502, 267, 646, 11363, 606, 4948, 16126, 593, 2696, 269, 23016, 547, 2696, 779, 2262, 267, 711, 15673, 532, 2696, 267, 543, 26902, 6235, 2696, 4805, 1700, 28205, 2241, 5686, 540, 6411, 540, 16126, 593, 2696, 782, 2097, 1524, 547, 513, 2620, 2989, 3972, 602, 2696, 568, 1459, 538, 4906, 685, 5692, 563, 27716, 568, 827, 547, 7832, 593, 1010, 18591, 267, 543, 646, 31439, 519, 31112, 547, 1413, 693, 1010, 18591, 538, 1022, 1259, 602, 1033, 847, 338, 689, 922, 8723, 1480, 3344, 610, 602, 11168, 1010, 1378, 1852, 607, 513, 10143, 1373, 269, 1306, 10271, 267, 649, 3494, 602, 4906, 568, 10143, 543, 1480, 269, 1809, 646, 2760, 2729, 856, 1010, 18591, 538, 513, 1259, 602, 3954, 625, 1010, 8103, 269, 1261, 2729, 513, 4628, 1480, 1272, 602, 568, 18803, 281, 646, 4991, 17237, 267, 568, 1419, 15653, 267, 543, 2760, 19299, 4376, 602, 5654, 899, 2797, 1379, 269, 4906, 13978, 16135, 563, 19950, 5944, 2614, 267, 519, 1614, 5686, 540, 3527, 602, 30616, 4408, 2097, 1394, 538, 1007, 543, 1114, 1106, 585, 4906, 281, 646, 3085, 1406, 2490, 10007, 883, 3694, 855, 646, 1281, 9062, 3138, 2314, 865, 602, 1866, 945, 616, 17237, 666, 3548, 269, 1261, 3085, 1406, 12235, 5128, 1055, 519, 1283, 540, 513, 13486, 547, 1397, 646, 568, 519, 31050, 267, 855, 3079, 568, 8288, 1164, 593, 513, 3444, 609, 519, 1129, 968, 21914, 540, 519, 7642, 892, 547, 23769, 1864, 269, 1261, 3085, 1406, 6367, 1524, 547, 10847, 30616, 267, 855, 1281, 9054, 601, 547, 7281, 547, 2696, 538, 519, 4677, 693, 717, 996, 572, 2006, 324, 269, 769, 1169, 2013, 267, 4906, 12346, 593, 2696, 1247, 6967, 4628, 1480, 269, 1261, 3972, 338, 538, 2696, 543, 1010, 18591, 568, 711, 16207, 1932, 2484, 1055, 1576, 538, 8090, 1141, 621, 4667, 899, 972, 568, 711, 2614, 538, 519, 1259, 540, 2200, 267, 610, 1141, 646, 568, 15653, 267, 610, 1256, 1141, 1010, 18591, 568, 29169, 676, 10654, 267, 25711, 267, 543, 2669, 269, 1261, 6487, 2696, 786, 2981, 519, 10007, 883, 3694, 267, 952, 646, 1175, 5170, 547, 6432, 547, 1018, 2696, 12134, 1864, 547, 798, 563, 296, 1589, 713, 267, 1932, 267, 568, 938, 1378, 4161, 281, 547, 3972, 602, 2696, 1568, 998, 782, 519, 6381, 540, 938, 2729, 269, 23089, 540, 13438, 267, 4199, 16531, 267, 18349, 267, 7092, 267, 12955, 267, 610, 968, 9188, 1068, 4025, 892, 666, 3100, 899, 5624, 602, 991, 547, 581, 14284, 269, 769, 606, 4674, 547, 9101, 891, 5624, 267, 649, 666, 2490, 547, 3029, 540, 31561, 520, 787, 281, 3972, 532, 538, 938, 1378, 1379, 543, 711, 538, 2696, 269, 1809, 621, 568, 2696, 779, 1379, 602, 12750, 625, 3694, 543, 2696, 779, 1379, 602, 646, 1023, 267, 543, 711, 938, 1378, 4805, 269, 1684, 649, 3972, 538, 602, 1379, 865, 602, 649, 666, 7119, 538, 519, 960, 540, 519, 1158, 602, 2115, 547, 581, 2944, 286, 1215, 1454, 1281, 3972, 2864, 982, 1852, 3391, 938, 3347, 543, 1295, 31559, 888, 2171, 666, 1142, 2307, 6000, 607, 851, 540, 938, 30766, 523, 2259, 281, 1018, 5624, 538, 1250, 1272, 616, 519, 2352, 968, 16058, 892, 4025, 689, 799, 594, 2119, 547, 9101, 286, 7316, 538, 1250, 1272, 1522, 594, 3079, 540, 13461, 593, 1250, 1378, 1379, 547, 1852, 267, 1688, 936, 519, 3510, 547, 2696, 543, 3972, 602, 2696, 666, 2981, 621, 883, 1272, 4758, 3694, 286, 0, 8368, 540, 12937, 454, 268, 476, 272, 1548, 616, 3232, 12738, 540, 18420, 888, 268, 476, 273, 1548, 568, 519, 18420, 6197, 888, 268, 476, 274, 1548, 616, 2853, 585, 18420, 888, 268, 476, 275, 1548, 616, 519, 9699, 5389, 888, 268, 476, 276, 1548, 616, 519, 9699, 3652, 888, 268, 476, 277, 1548, 616, 519, 3232, 11645, 540, 513, 9699, 888, 268, 476, 278, 1548, 1281, 519, 3232, 6296, 1611, 538, 16130, 888, 268, 476, 279, 6904, 568, 519, 9699, 3232, 6296, 4358, 689, 3141, 23438, 888, 268, 476, 280, 1548, 2186, 540, 2732, 1281, 513, 9699, 1246, 888, 1432, 616, 3232, 12738, 540, 18420, 888, 763, 1034, 1455, 12738, 13736, 538, 782, 9699, 10820, 616, 4996, 10937, 267, 9066, 267, 14980, 19001, 267, 10649, 267, 973, 2787, 540, 30920, 689, 13225, 698, 822, 611, 717, 7534, 610, 536, 327, 1690, 753, 267, 2542, 3909, 2835, 267, 10283, 538, 590, 1846, 836, 630, 335, 2001, 518, 10742, 1070, 7900, 26988, 960, 267, 9683, 513, 11454, 267, 543, 669, 13589, 519, 2012, 540, 741, 11537, 2696, 563, 1432, 568, 519, 18420, 6197, 888, 295, 785, 639, 11441, 547, 3035, 546, 327, 12609, 267, 799, 568, 513, 3009, 540, 2713, 602, 11363, 1434, 2932, 543, 13919, 269, 27734, 556, 3164, 782, 2713, 7068, 543, 2015, 519, 10800, 513, 10723, 3662, 269, 5253, 568, 606, 1271, 851, 540, 1272, 585, 27734, 269, 4107, 1810, 1406, 3548, 14132, 610, 20230, 267, 543, 1082, 616, 3543, 12579, 563, 1432, 616, 2853, 585, 18420, 888, 295, 8114, 2853, 1331, 12738, 971, 607, 4996, 10937, 630, 342, 11208, 264, 543, 973, 14591, 267, 795, 23981, 267, 9066, 630, 323, 1506, 5953, 3534, 1070, 1920, 15129, 32537, 540, 8574, 267, 5993, 15976, 267, 543, 17573, 19623, 1137, 563, 2414, 2012, 930, 4922, 13736, 3232, 12738, 616, 623, 5622, 10937, 267, 7836, 930, 942, 538, 1199, 23550, 267, 9602, 19001, 267, 3257, 10649, 267, 973, 1746, 669, 1218, 689, 13411, 2835, 267, 2542, 30920, 267, 9683, 519, 11454, 610, 11018, 609, 13411, 2367, 267, 1022, 2186, 540, 17493, 267, 543, 8654, 513, 17689, 538, 519, 2777, 1142, 1554, 563, 1432, 616, 519, 9699, 5389, 888, 1432, 616, 519, 9699, 3652, 888, 2080, 616, 930, 540, 519, 1883, 4978, 3838, 1851, 27734, 912, 268, 18266, 568, 18163, 563, 268, 23347, 2006, 568, 18266, 543, 18712, 563, 268, 634, 28174, 553, 616, 519, 10700, 6392, 563, 268, 15526, 1058, 11441, 547, 3035, 546, 327, 12609, 563, 268, 10572, 20339, 616, 32161, 563, 268, 634, 3804, 540, 519, 1367, 9997, 568, 544, 758, 3333, 320, 563, 1432, 616, 519, 3232, 11645, 540, 513, 9699, 888, 13775, 281, 476, 6021, 628, 4873, 476, 1001, 273, 476, 1556, 281, 2537, 6751, 1923, 7831, 21213, 281, 476, 1556, 628, 4873, 476, 1001, 273, 476, 5400, 281, 2764, 7537, 1923, 589, 266, 589, 589, 268, 769, 1840, 547, 519, 3339, 2238, 2404, 609, 835, 779, 3924, 630, 12534, 3534, 546, 327, 12609, 264, 543, 3942, 538, 1272, 630, 3333, 18769, 546, 327, 12609, 1070, 519, 3232, 6296, 540, 513, 1821, 719, 9699, 568, 547, 1685, 3443, 577, 600, 1695, 586, 1725, 553, 630, 325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10432, 454, 663, 1082, 1866, 563, 13070, 3472, 1116, 674, 4202, 616, 513, 1390, 856, 532, 585, 519, 2898, 1920, 267, 609, 1082, 2139, 538, 543, 1472, 31747, 1519, 912, 268, 519, 2961, 335, 12876, 454, 268, 519, 29430, 12876, 454, 268, 519, 18937, 534, 12876, 454, 268, 543, 519, 5450, 322, 2788, 324, 12876, 454, 10144, 689, 782, 936, 519, 1158, 454, 2026, 4516, 779, 3854, 267, 31747, 24643, 1004, 689, 782, 936, 519, 1158, 547, 4663, 922, 8978, 4609, 543, 21056, 267, 2972, 922, 6575, 543, 2528, 267, 543, 5660, 922, 24738, 543, 4992, 269, 31747, 568, 6444, 607, 513, 4190, 2749, 676, 1554, 543, 3781, 267, 1141, 3885, 543, 8436, 540, 782, 6502, 786, 1265, 1945, 547, 2972, 269, 2859, 982, 476, 278, 2929, 8436, 513, 1032, 616, 13631, 547, 519, 31747, 3148, 267, 543, 9235, 568, 519, 3791, 4102, 2872, 543, 2816, 17082, 538, 519, 2749, 563, 27916, 4768, 1218, 543, 3536, 689, 1472, 519, 1158, 454, 2026, 513, 5963, 18371, 2749, 267, 31747, 568, 2111, 547, 4196, 909, 3536, 689, 1472, 519, 1158, 269, 6787, 621, 568, 538, 14060, 267, 6990, 267, 610, 20614, 1426, 8637, 585, 946, 693, 1753, 267, 3536, 689, 10876, 616, 11593, 2139, 543, 2653, 547, 3489, 269, 901, 2882, 3536, 689, 3624, 267, 3127, 267, 4000, 267, 5824, 3013, 267, 519, 12144, 267, 519, 5664, 5101, 267, 8109, 543, 5375, 2342, 267, 543, 1082, 824, 4025, 563, 293, 1301, 619, 6990, 538, 1585, 2127, 540, 519, 2749, 630, 324, 3052, 1421, 519, 4639, 4011, 334, 10787, 1067, 779, 10369, 267, 519, 30179, 518, 5244, 10369, 267, 543, 1866, 264, 1611, 602, 4195, 3132, 666, 581, 5833, 538, 4005, 281, 1294, 31747, 6705, 2344, 585, 513, 17609, 540, 6990, 2429, 519, 2749, 563, 3528, 310, 731, 10369, 267, 711, 1932, 2484, 689, 12057, 10830, 267, 14747, 835, 540, 4516, 779, 9510, 6705, 685, 6990, 267, 607, 1134, 607, 22538, 525, 267, 14060, 267, 543, 15731, 563, 8448, 1390, 13962, 29117, 338, 1331, 25590, 520, 1144, 267, 9741, 7977, 267, 4639, 4011, 334, 267, 670, 15586, 7921, 267, 519, 717, 548, 2041, 267, 543, 1715, 25470, 563, 24523, 1472, 519, 3854, 454, 763, 31747, 2349, 1132, 325, 652, 568, 606, 5993, 9205, 2575, 13037, 602, 3217, 1747, 1142, 5147, 269, 769, 1840, 547, 21462, 267, 519, 13037, 849, 2934, 4224, 543, 1402, 2575, 269, 2349, 1132, 325, 652, 814, 1831, 519, 4102, 21462, 13037, 538, 4516, 543, 519, 2034, 4102, 538, 3345, 3013, 563, 763, 31747, 27227, 16635, 729, 8547, 538, 476, 2735, 271, 676, 2199, 12372, 945, 4941, 513, 4832, 5503, 15690, 13037, 269, 898, 8057, 3533, 267, 19788, 3486, 4408, 543, 2479, 3677, 24921, 269, 634, 13037, 849, 3459, 547, 1331, 1114, 2010, 540, 2575, 3564, 2757, 15690, 269, 5637, 9205, 543, 11255, 2621, 616, 12286, 267, 1519, 2442, 3735, 3781, 25888, 7886, 563, 302, 1777, 11867, 25679, 325, 652, 3459, 538, 476, 1960, 275, 607, 519, 31747, 4139, 25679, 8535, 16635, 609, 476, 2420, 30145, 538, 1079, 13039, 267, 543, 729, 606, 7525, 5734, 269, 19663, 20406, 936, 519, 1296, 267, 538, 476, 1001, 273, 31747, 25679, 325, 652, 4843, 3592, 476, 1911, 30145, 267, 19788, 936, 476, 3199, 267, 1822, 19700, 543, 568, 519, 4102, 12068, 2575, 13037, 540, 922, 2186, 538, 519, 1158, 269, 4014, 519, 30145, 616, 5097, 2757, 8106, 2575, 267, 519, 9165, 814, 9450, 547, 1331, 2575, 676, 1402, 543, 15690, 25803, 543, 849, 2575, 689, 1875, 26049, 2477, 563, 763, 31747, 6641, 21620, 2107, 3832, 14259, 568, 513, 2407, 2450, 32316, 602, 2882, 3318, 267, 2875, 543, 23153, 12372, 269, 2060, 1472, 476, 1911, 12372, 267, 621, 568, 31747, 781, 4102, 32316, 269, 634, 31747, 6641, 21620, 2107, 3832, 14259, 6799, 513, 3126, 540, 2947, 30145, 1142, 4005, 693, 519, 2817, 8551, 10418, 269, 769, 2487, 1296, 519, 2107, 3832, 14259, 814, 25189, 1007, 2157, 540, 7499, 17284, 267, 543, 814, 4810, 2208, 538, 922, 9458, 563, 302, 1777, 11867, 849, 814, 6266, 547, 798, 693, 3781, 267, 609, 7874, 15731, 267, 1435, 338, 267, 543, 13063, 267, 2523, 693, 1635, 1189, 10369, 267, 4432, 6265, 9335, 267, 2776, 8725, 9335, 267, 4639, 4011, 334, 267, 670, 15586, 7921, 267, 25590, 520, 1144, 267, 543, 2066, 519, 5757, 538, 670, 1638, 269, 3509, 616, 1930, 2394, 476, 273, 993, 610, 2663, 267, 865, 596, 666, 6108, 942, 856, 609, 2828, 267, 2743, 1007, 1004, 267, 543, 2972, 2575, 267, 15472, 267, 543, 10543, 9913, 563, 300, 13952, 543, 26847, 454, 302, 1777, 11867, 568, 1753, 547, 606, 5863, 476, 3066, 15882, 910, 1519, 476, 1321, 1713, 3084, 15882, 910, 607, 1134, 607, 519, 2817, 20155, 267, 519, 2817, 8551, 10418, 267, 543, 1082, 8978, 4609, 563, 763, 8225, 7467, 540, 3778, 267, 4092, 593, 519, 670, 1638, 2427, 540, 519, 31747, 5211, 267, 568, 4516, 779, 1034, 10272, 9754, 267, 543, 6227, 476, 1911, 271, 1296, 540, 8225, 1686, 607, 1134, 607, 1158, 4529, 267, 609, 513, 2027, 5753, 779, 7467, 2966, 547, 1683, 2238, 543, 4497, 519, 8049, 8186, 540, 1762, 1004, 269, 7981, 15225, 616, 849, 4547, 538, 547, 1683, 3099, 543, 3895, 1007, 1702, 563, 12648, 513, 2656, 4663, 540, 519, 8225, 7467, 540, 3778, 630, 845, 28861, 1572, 519, 8225, 7467, 540, 31511, 994, 763, 8225, 2782, 7467, 568, 4516, 779, 21777, 3084, 9754, 267, 543, 2882, 1312, 8628, 543, 2027, 15225, 6131, 547, 25643, 4516, 779, 1909, 538, 2518, 7526, 543, 519, 2360, 540, 891, 7526, 593, 782, 540, 8103, 269, 634, 9754, 568, 1634, 585, 922, 16101, 20421, 6189, 543, 2219, 4538, 10525, 563, 763, 8225, 7467, 540, 7186, 814, 4190, 2413, 26847, 543, 15225, 18071, 519, 2067, 1604, 540, 4516, 602, 786, 9029, 547, 519, 2898, 1920, 269, 3245, 17878, 547, 16385, 267, 7786, 547, 8701, 12217, 267, 6886, 547, 513, 5757, 16983, 267, 519, 9754, 814, 1312, 8628, 15225, 543, 2027, 15225, 2519, 593, 4277, 1007, 3584, 563, 12648, 513, 2656, 4663, 540, 519, 7467, 540, 7186, 454, 763, 4516, 3163, 543, 5303, 7467, 568, 849, 513, 1747, 585, 3885, 267, 1141, 8436, 666, 7903, 16181, 267, 2490, 3866, 338, 267, 543, 7485, 682, 951, 547, 1451, 875, 1919, 960, 269, 2598, 680, 904, 4183, 8225, 18563, 282, 14884, 267, 6517, 267, 543, 824, 3029, 540, 6283, 282, 6639, 18563, 971, 607, 24985, 543, 31244, 282, 606, 1648, 14266, 282, 543, 2413, 7658, 23890, 563, 12648, 513, 2656, 4663, 540, 519, 4516, 3163, 543, 5303, 7467, 454, 763, 2817, 20155, 540, 4516, 267, 835, 540, 4516, 779, 9510, 3084, 2686, 5238, 267, 8075, 519, 2197, 779, 3084, 1148, 4015, 267, 609, 3486, 24218, 4843, 2429, 519, 1032, 563, 12648, 513, 2656, 4663, 540, 519, 2817, 20155, 540, 4516, 454, 302, 1777, 11867, 849, 723, 1896, 7991, 15882, 267, 585, 513, 2347, 1592, 540, 3643, 519, 968, 26322, 15882, 892, 2985, 563, 763, 2817, 8551, 10418, 6799, 2661, 12644, 540, 12416, 267, 635, 12203, 267, 7574, 338, 543, 1920, 9913, 538, 1312, 2296, 543, 3943, 563, 30560, 22941, 20989, 693, 10418, 4812, 324, 14747, 22407, 689, 4516, 543, 1472, 519, 1158, 269, 634, 16222, 814, 20888, 811, 9947, 334, 20421, 5159, 982, 1022, 824, 16222, 538, 519, 3148, 269, 3509, 2104, 22530, 1513, 1205, 741, 1101, 4316, 547, 1685, 593, 10418, 4812, 324, 779, 3942, 563, 763, 30715, 330, 2006, 8551, 10418, 2488, 2230, 585, 7900, 6575, 14245, 543, 3308, 1148, 24218, 267, 607, 1134, 607, 2230, 585, 6044, 538, 513, 3099, 540, 6575, 269, 898, 3091, 2533, 543, 3292, 538, 1312, 2296, 543, 3943, 563, 28657, 781, 13074, 4881, 2146, 16222, 267, 31747, 9741, 20989, 267, 3091, 513, 1390, 1747, 547, 4585, 2661, 16222, 269, 29035, 538, 476, 4489, 274, 267, 621, 568, 519, 13074, 8573, 7342, 2146, 16222, 2754, 538, 4516, 269, 898, 6799, 5216, 4249, 829, 1032, 689, 5181, 998, 2904, 563, 763, 4279, 8225, 20989, 7577, 568, 513, 3318, 2754, 3323, 676, 513, 1895, 540, 20485, 543, 10927, 1053, 693, 31747, 779, 2961, 13987, 2160, 269, 4706, 3312, 3804, 729, 547, 3132, 1152, 8225, 4249, 267, 2523, 1346, 609, 1514, 543, 2797, 10083, 269, 4653, 519, 7577, 2934, 606, 9450, 1899, 909, 540, 4249, 267, 2059, 609, 811, 2146, 2861, 2238, 563, 17442, 715, 537, 767, 548, 2480, 11726, 928, 568, 513, 3943, 1893, 16222, 602, 568, 1031, 585, 24299, 676, 2185, 31747, 16222, 3549, 267, 543, 14747, 513, 1804, 1297, 540, 7499, 2238, 269, 898, 24643, 811, 982, 476, 736, 267, 1822, 8436, 1142, 1032, 563, 24292, 7457, 10426, 454, 288, 10516, 547, 1142, 8225, 12504, 1282, 741, 1101, 1032, 540, 15114, 267, 519, 8836, 7457, 10426, 2488, 5360, 21747, 16075, 547, 811, 982, 476, 1911, 271, 540, 4516, 781, 2686, 16782, 689, 5032, 3562, 18396, 770, 3562, 18396, 770, 269, 634, 8836, 7457, 10426, 5932, 3255, 585, 4516, 781, 21777, 4961, 547, 3605, 938, 3638, 2686, 1686, 267, 1158, 3146, 11471, 26620, 267, 3140, 5515, 543, 10875, 11614, 563, 3725, 21551, 543, 5026, 454, 302, 1777, 11867, 568, 606, 3742, 2749, 609, 606, 11999, 1297, 540, 9205, 543, 11255, 18883, 2238, 547, 3442, 689, 269, 1703, 779, 1945, 585, 3025, 267, 7488, 540, 2085, 269, 1656, 1082, 540, 519, 2238, 616, 1863, 563, 2690, 1346, 945, 899, 547, 581, 3742, 13964, 267, 31747, 781, 16351, 10092, 568, 513, 1390, 1747, 585, 28185, 3101, 267, 19482, 267, 31610, 610, 6972, 269, 769, 1249, 267, 14840, 23945, 564, 1107, 513, 5001, 4199, 585, 28359, 1107, 814, 5219, 547, 31747, 607, 513, 968, 329, 690, 7970, 27032, 9731, 763, 31747, 17813, 10432, 754, 1142, 5614, 7143, 3699, 28359, 689, 1472, 519, 1158, 585, 513, 3126, 540, 14797, 602, 1331, 519, 20380, 31747, 3057, 25070, 563, 2690, 811, 3978, 3802, 619, 543, 554, 1731, 619, 267, 519, 31747, 30482, 11833, 1418, 3278, 9205, 16351, 2238, 1032, 15778, 693, 8766, 1942, 563, 288, 2027, 4183, 540, 519, 2817, 13317, 16323, 568, 717, 520, 710, 879, 5244, 269, 634, 5244, 568, 10875, 569, 4190, 543, 27726, 267, 609, 2189, 2371, 543, 7320, 269, 11094, 568, 513, 10862, 269, 634, 5244, 2488, 513, 32263, 28379, 585, 9205, 2238, 267, 971, 607, 19482, 267, 22742, 267, 10977, 267, 10068, 267, 15203, 543, 811, 2336, 302, 1777, 11867, 568, 849, 513, 17512, 881, 2749, 585, 15203, 543, 538, 11060, 1236, 908, 267, 609, 936, 476, 10204, 737, 916, 540, 16351, 11444, 267, 519, 1034, 3573, 1055, 268, 5802, 267, 3818, 14025, 1062, 540, 922, 2186, 538, 3345, 3013, 269, 1280, 513, 5594, 8273, 4161, 267, 3978, 7814, 1235, 2212, 547, 717, 520, 710, 879, 5244, 547, 1205, 519, 4278, 1571, 540, 16246, 543, 27312, 519, 1082, 15113, 563, 268, 21476, 540, 15203, 11507, 454, 268, 3371, 568, 513, 2656, 15203, 4663, 540, 31747, 281, 11905, 281, 31747, 21094, 454, 763, 8225, 20676, 532, 5948, 781, 27114, 5174, 296, 17395, 1982, 3091, 6030, 593, 782, 3344, 540, 15203, 9108, 563, 10303, 31747, 568, 11303, 543, 20312, 624, 539, 676, 1216, 10876, 267, 972, 616, 606, 11999, 1297, 540, 1216, 1644, 5026, 547, 3442, 689, 281, 10977, 267, 4737, 532, 267, 31614, 1136, 543, 666, 27739, 269, 1452, 666, 581, 2944, 14350, 855, 849, 998, 5026, 15731, 602, 4183, 1312, 16351, 543, 16918, 3292, 563, 8170, 1576, 538, 31747, 267, 9205, 2238, 1810, 1406, 1439, 950, 519, 4365, 7140, 4411, 269, 5502, 267, 4832, 3937, 568, 2322, 2476, 543, 3742, 7264, 2490, 547, 1236, 908, 267, 31562, 267, 543, 6777, 3333, 27739, 563, 20597, 622, 998, 519, 2295, 540, 25708, 31747, 593, 519, 681, 728, 879, 22575, 267, 513, 20648, 2622, 11595, 13505, 563, 7021, 476, 1220, 21240, 540, 19081, 539, 18162, 2291, 538, 519, 717, 520, 710, 879, 15113, 267, 585, 5929, 3444, 28029, 787, 1236, 4536, 543, 25920, 1236, 4536, 563, 2467, 616, 849, 476, 4649, 21240, 540, 18162, 602, 616, 11603, 585, 6777, 3333, 27739, 269, 1656, 1776, 476, 5611, 21240, 540, 3444, 28029, 787, 20744, 18162, 666, 581, 1336, 538, 519, 5682, 321, 3881, 602, 1958, 597, 3380, 31747, 269, 1452, 18162, 616, 3501, 585, 19444, 543, 1920, 856, 902, 563, 2690, 1346, 945, 4782, 547, 979, 1524, 24824, 31562, 267, 519, 1858, 1472, 31747, 814, 513, 1804, 1297, 540, 15113, 602, 616, 1031, 585, 6777, 24692, 543, 1524, 24824, 31562, 563, 4517, 585, 5171, 945, 616, 936, 476, 2004, 1296, 540, 2085, 267, 31747, 3091, 606, 15765, 12389, 11833, 563, 763, 4975, 540, 31747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2777, 594, 2219, 594, 729, 5386, 543, 594, 2760, 1185, 1022, 824, 561, 7927, 2094, 1287, 543, 1250, 7911, 3659, 2760, 1185, 1022, 2589, 594, 2219, 594, 729, 5386, 269, 9213, 1945, 5143, 803, 547, 979, 547, 519, 4387, 269, 594, 4682, 543, 789, 1767, 789, 2760, 10288, 519, 1449, 269, 594, 7537, 1924, 4888, 16165, 312, 269, 1548, 9701, 594, 798, 286, 1403, 594, 798, 723, 621, 12582, 1405, 621, 723, 1044, 538, 1010, 1973, 689, 803, 286, 594, 993, 865, 18901, 602, 594, 949, 723, 621, 286, 594, 993, 849, 14126, 602, 835, 1554, 646, 949, 1205, 2589, 1317, 1010, 1449, 729, 4636, 543, 1589, 594, 5795, 621, 547, 1864, 950, 646, 729, 519, 835, 945, 949, 723, 2016, 621, 547, 803, 952, 1250, 1973, 1449, 2501, 1394, 2318, 269, 594, 723, 1152, 1185, 3023, 2899, 609, 513, 598, 3256, 1354, 1864, 269, 1548, 1058, 594, 798, 286, 1261, 814, 1185, 824, 513, 1906, 4891, 269, 1548, 568, 519, 2693, 26372, 602, 594, 949, 723, 2016, 1864, 15601, 888, 25111, 476, 274, 4534, 1234, 2017, 5270, 281, 1879, 1004, 7237, 1978, 17613, 630, 10193, 17941, 12153, 1070, 3929, 610, 2168, 267, 519, 3644, 949, 2746, 10675, 543, 2014, 1007, 21399, 543, 2589, 269, 634, 1739, 2188, 949, 3565, 547, 610, 9594, 24088, 281, 2566, 267, 4576, 267, 22292, 1769, 630, 10013, 12345, 1519, 24106, 1070, 8611, 267, 9854, 267, 17441, 2242, 630, 1721, 1383, 267, 28689, 1070, 4761, 4965, 267, 543, 8194, 547, 513, 3135, 610, 513, 8229, 3148, 1141, 3105, 23034, 3968, 7018, 563, 296, 993, 1360, 6126, 609, 519, 3432, 540, 6765, 543, 519, 2898, 4879, 543, 19280, 1184, 269, 594, 1031, 2098, 6072, 585, 7296, 29696, 6646, 269, 3733, 7662, 729, 12290, 3842, 513, 2564, 18102, 267, 799, 267, 594, 3494, 267, 729, 1287, 5293, 5196, 513, 2564, 3318, 269, 10815, 982, 3108, 2663, 594, 4607, 519, 5048, 689, 835, 540, 741, 717, 11679, 602, 1250, 7662, 814, 1044, 9516, 267, 594, 729, 2016, 2407, 1344, 827, 519, 6646, 630, 663, 729, 1500, 2312, 3875, 2053, 602, 594, 729, 4397, 547, 1224, 713, 1070, 607, 1134, 607, 513, 2564, 3346, 1268, 585, 7525, 543, 2104, 14511, 269, 2991, 594, 6976, 594, 1287, 4607, 1250, 1199, 338, 538, 519, 2022, 513, 1554, 2663, 269, 2052, 1405, 13337, 713, 3028, 693, 782, 543, 666, 4363, 621, 476, 1911, 10065, 634, 1655, 3364, 568, 267, 713, 6646, 2731, 1281, 960, 543, 621, 781, 1631, 1250, 8772, 1554, 1510, 13189, 563, 6097, 547, 513, 1353, 538, 519, 1715, 4789, 4750, 540, 6925, 267, 811, 982, 476, 1789, 260, 540, 9176, 2021, 538, 519, 2136, 2276, 723, 19058, 23034, 269, 4438, 6379, 267, 1004, 616, 6375, 665, 20234, 668, 2213, 865, 602, 741, 1560, 3085, 1406, 4339, 519, 21565, 607, 513, 4914, 1045, 14575, 269, 1656, 950, 513, 1268, 779, 4761, 1062, 568, 18604, 267, 789, 616, 811, 2693, 547, 723, 15601, 17061, 269, 4340, 547, 595, 1638, 1231, 267, 968, 303, 27389, 3599, 568, 519, 942, 1974, 950, 1496, 320, 8502, 316, 2731, 6499, 547, 917, 2436, 610, 711, 519, 1268, 814, 1185, 15601, 538, 519, 2250, 2223, 865, 789, 666, 2149, 519, 9176, 1268, 543, 741, 10867, 689, 513, 15601, 3968, 269, 0, 21430, 519, 1318, 5079, 827, 707, 2960, 1416, 6238, 609, 6616, 707, 2960, 1826, 563, 17843, 2960, 2010, 616, 16220, 5462, 855, 7446, 519, 1655, 2960, 1416, 585, 707, 3068, 543, 1560, 568, 1898, 547, 1416, 585, 707, 2960, 779, 1072, 267, 3500, 519, 30333, 1184, 543, 1413, 1310, 3054, 2336, 306, 7219, 2010, 1331, 3339, 267, 522, 1176, 267, 3819, 267, 543, 6213, 269, 2368, 1004, 849, 723, 513, 4999, 540, 2960, 2010, 538, 1114, 2127, 540, 741, 2960, 269, 2349, 31857, 513, 2973, 5160, 593, 707, 3068, 538, 519, 6640, 568, 606, 2653, 1259, 547, 1265, 856, 707, 2960, 1826, 563, 7312, 2960, 1826, 666, 1689, 936, 942, 269, 1280, 1383, 267, 7820, 1004, 616, 811, 2693, 982, 4587, 1004, 547, 723, 513, 3339, 2960, 1826, 563, 306, 7219, 2010, 4268, 4470, 2390, 2188, 971, 607, 912, 268, 4826, 1543, 267, 799, 5540, 707, 2960, 779, 4313, 543, 22786, 454, 268, 13813, 630, 28309, 573, 264, 1543, 267, 799, 5540, 707, 2960, 779, 2571, 1145, 454, 268, 11576, 6638, 1377, 454, 31863, 16164, 7392, 281, 814, 1434, 10009, 543, 972, 786, 711, 581, 1022, 10250, 540, 694, 321, 636, 630, 528, 3282, 264, 593, 519, 5160, 269, 16453, 2960, 568, 2571, 267, 609, 513, 5347, 267, 1256, 2960, 3159, 563, 31863, 2960, 568, 711, 1932, 3819, 543, 711, 1932, 522, 1176, 269, 898, 814, 912, 268, 3143, 610, 1906, 20541, 687, 454, 268, 3143, 4049, 8417, 454, 268, 645, 732, 569, 7298, 22405, 454, 268, 589, 32689, 1950, 542, 454, 23382, 1588, 16164, 7392, 281, 2060, 513, 4999, 2960, 1826, 3282, 568, 3812, 1472, 519, 2048, 307, 22271, 821, 685, 540, 519, 9224, 543, 30432, 855, 711, 593, 519, 1750, 4060, 267, 5023, 543, 3750, 2127, 563, 6624, 1004, 723, 4999, 2960, 267, 799, 949, 4324, 689, 5594, 1114, 2010, 540, 2960, 1416, 538, 1114, 2127, 563, 23382, 1588, 2960, 666, 3132, 912, 268, 3683, 569, 8920, 730, 22405, 454, 268, 1744, 4176, 2960, 454, 291, 787, 16164, 7392, 281, 814, 513, 1970, 1377, 540, 694, 321, 636, 543, 1281, 711, 2226, 3282, 3362, 269, 16959, 2960, 568, 1419, 1166, 21294, 543, 7959, 9395, 1310, 1373, 530, 21317, 563, 291, 787, 2960, 666, 3132, 912, 268, 20290, 15865, 22405, 454, 268, 667, 1638, 267, 11315, 1950, 542, 454, 268, 4414, 15649, 454, 268, 10815, 22786, 454, 268, 2859, 7298, 3515, 454, 2691, 6534, 547, 15018, 2188, 267, 2960, 666, 11523, 267, 22019, 267, 610, 1831, 28349, 267, 8886, 730, 267, 610, 28332, 269, 1403, 707, 2960, 568, 1360, 3819, 267, 621, 666, 1831, 11315, 543, 1085, 3315, 267, 2523, 593, 519, 19758, 540, 707, 3946, 267, 7916, 267, 543, 7953, 563, 291, 787, 2960, 666, 3362, 1020, 513, 521, 9994, 3159, 267, 32060, 267, 543, 5386, 22405, 267, 543, 621, 568, 1360, 12155, 547, 10172, 543, 8886, 908, 269, 898, 1522, 1869, 1413, 1390, 593, 513, 1762, 1268, 267, 855, 267, 547, 1832, 621, 2635, 267, 596, 1058, 4019, 9488, 1416, 543, 946, 2834, 2960, 610, 5898, 20786, 609, 2067, 13968, 543, 5848, 584, 9088, 563, 291, 787, 2960, 949, 581, 3361, 610, 1500, 8338, 676, 912, 268, 18726, 2188, 454, 268, 28544, 610, 17441, 2242, 454, 268, 16661, 971, 607, 2842, 267, 3141, 267, 610, 4411, 454, 268, 8299, 19965, 630, 10013, 264, 5982, 689, 512, 8911, 15135, 454, 268, 1473, 3233, 8022, 454, 268, 7043, 267, 3905, 31725, 543, 29636, 454, 268, 23123, 538, 865, 2355, 267, 30143, 267, 610, 18274, 619, 454, 2080, 616, 930, 4388, 585, 2921, 1732, 1416, 540, 3819, 2960, 912, 268, 6875, 10156, 29636, 543, 31725, 267, 1100, 811, 982, 2899, 3232, 563, 268, 2422, 7646, 267, 9543, 865, 2355, 610, 18274, 619, 269, 3680, 632, 31121, 656, 865, 2355, 563, 268, 5213, 1406, 28103, 1247, 28876, 610, 15018, 563, 268, 15233, 513, 3638, 5848, 584, 6500, 1318, 1310, 28876, 269, 744, 842, 906, 543, 1212, 4461, 949, 960, 1732, 982, 2603, 687, 585, 3819, 2960, 855, 616, 1419, 3190, 1512, 269, 1234, 1952, 569, 607, 2877, 2429, 519, 1554, 563, 268, 2422, 513, 18519, 8595, 543, 1810, 1406, 1577, 11255, 5210, 1205, 1932, 3905, 563, 268, 23203, 17309, 950, 1210, 7738, 8069, 267, 30177, 267, 610, 7622, 28052, 757, 563, 302, 1176, 16164, 7392, 281, 786, 4734, 1025, 1824, 540, 11132, 3282, 593, 519, 5160, 267, 3226, 689, 519, 1750, 4060, 267, 9224, 543, 30432, 269, 901, 1826, 540, 2960, 814, 936, 5562, 694, 321, 17675, 15374, 267, 6721, 811, 3282, 982, 2556, 269, 744, 1176, 2960, 666, 581, 3361, 676, 22420, 2188, 267, 2732, 267, 9449, 2157, 267, 6379, 267, 5667, 340, 3386, 30143, 543, 2566, 267, 3056, 547, 18383, 27506, 22705, 543, 23762, 22405, 563, 4002, 519, 2318, 2427, 267, 522, 1176, 2960, 568, 711, 12155, 1454, 547, 10172, 543, 23743, 1782, 269, 5516, 995, 7738, 267, 10893, 540, 19346, 4616, 267, 543, 9319, 3638, 1212, 4461, 666, 581, 5363, 538, 5355, 519, 2298, 540, 522, 1176, 2960, 563, 302, 1176, 2960, 666, 3132, 912, 268, 2037, 331, 20149, 22405, 454, 268, 667, 1638, 610, 21743, 267, 5394, 1950, 542, 454, 268, 4563, 21650, 267, 533, 574, 1255, 267, 610, 824, 6926, 332, 8460, 454, 302, 559, 1465, 666, 1689, 4470, 2390, 519, 942, 540, 1032, 610, 519, 4365, 269, 744, 1176, 2960, 666, 581, 3361, 610, 1500, 8338, 676, 912, 268, 10658, 22360, 610, 824, 17441, 20817, 454, 268, 22452, 547, 3002, 610, 1932, 1454, 11195, 454, 2414, 1491, 1416, 540, 522, 1176, 2960, 912, 268, 25169, 707, 2960, 1100, 811, 982, 7466, 513, 1554, 543, 1310, 596, 1086, 335, 790, 8185, 563, 268, 2422, 513, 9543, 18274, 518, 543, 1810, 1406, 28103, 563, 268, 5213, 1406, 4584, 267, 1402, 267, 610, 25837, 533, 574, 1255, 269, 901, 10804, 338, 7067, 942, 563, 268, 2422, 2472, 13042, 607, 968, 12061, 20411, 8328, 1848, 1358, 4043, 711, 547, 24571, 22405, 563, 306, 17567, 16164, 7392, 281, 666, 1611, 1114, 1919, 547, 1114, 1004, 269, 898, 666, 581, 3361, 676, 2960, 2175, 971, 607, 887, 338, 25445, 267, 26253, 610, 11959, 269, 11576, 1438, 2960, 666, 1831, 28332, 543, 8886, 730, 3362, 563, 2252, 707, 2960, 568, 6213, 267, 2119, 547, 1265, 856, 1018, 707, 12153, 616, 865, 596, 666, 2057, 873, 269, 1411, 949, 723, 6213, 2960, 585, 513, 3099, 540, 4128, 267, 855, 1419, 621, 779, 538, 3210, 547, 1880, 2960, 1416, 2472, 563, 306, 17567, 2960, 666, 1397, 909, 607, 912, 763, 17943, 540, 16164, 5516, 454, 4322, 4388, 786, 948, 707, 2960, 3251, 8902, 1100, 2339, 922, 1826, 563, 268, 2422, 513, 3376, 8552, 24429, 602, 7161, 1312, 11158, 288, 543, 11158, 289, 12345, 269, 3680, 1463, 7943, 543, 5957, 513, 11058, 543, 23475, 28904, 563, 268, 5213, 1406, 8673, 563, 268, 13773, 19872, 563, 268, 25169, 707, 2960, 8499, 1169, 1554, 543, 2760, 5957, 17539, 547, 5127, 563, 268, 7720, 626, 584, 1125, 707, 2960, 563, 3383, 267, 1018, 1826, 540, 2960, 798, 596, 723, 286, 9523, 609, 721, 543, 649, 666, 2965, 4363, 519, 645, 12239, 28469, 16279, 2472, 585, 707, 2960, 1416, 269, 0, 2171, 1336, 476, 23310, 2200, 609, 519, 1523, 862, 553, 454, 23458, 8551, 6096, 8893, 14136, 454, 278, 628, 910, 476, 1321, 628, 18938, 281, 24623, 454, 19185, 585, 930, 2656, 8239, 3636, 13522, 286, 1548, 827, 13561, 10259, 30573, 13410, 286, 4855, 3388, 596, 991, 609, 513, 4199, 602, 3568, 2259, 3211, 585, 2694, 540, 4633, 267, 2694, 540, 513, 4845, 267, 1455, 21342, 6959, 267, 16602, 2483, 22479, 1388, 1436, 543, 623, 9417, 6672, 8893, 14136, 454, 280, 628, 910, 476, 1321, 628, 18938, 281, 24623, 454, 1692, 1082, 540, 519, 10453, 538, 707, 1893, 6575, 1362, 666, 16174, 1063, 513, 3935, 543, 513, 12931, 20325, 286, 22548, 1518, 1455, 14908, 267, 1519, 1439, 18685, 267, 1697, 3854, 1436, 267, 543, 4845, 2497, 267, 609, 513, 3126, 540, 5363, 8239, 2483, 8794, 2155, 553, 609, 1520, 16633, 8893, 14136, 454, 277, 628, 910, 476, 279, 628, 18938, 281, 24623, 454, 20797, 1210, 862, 553, 609, 21371, 609, 513, 4976, 10223, 11282, 543, 19469, 21371, 269, 2991, 17265, 8847, 543, 1806, 267, 6267, 1397, 1018, 789, 917, 676, 7157, 5309, 9822, 908, 476, 1015, 5220, 609, 21371, 563, 291, 2905, 24953, 27138, 1186, 281, 18049, 543, 26402, 8893, 14136, 454, 274, 6113, 910, 476, 277, 628, 18938, 281, 24623, 454, 2252, 8239, 2259, 568, 9170, 538, 707, 6437, 267, 596, 1590, 2638, 856, 606, 3573, 4015, 540, 3636, 5346, 2238, 585, 1893, 6575, 256, 3962, 2985, 6212, 593, 513, 1114, 1523, 267, 689, 2694, 540, 4633, 547, 8231, 1023, 267, 543, 2488, 2689, 2483, 294, 1090, 3405, 267, 26402, 267, 543, 23317, 8893, 14136, 454, 276, 628, 910, 476, 277, 628, 18938, 281, 24623, 454, 2252, 596, 2811, 4058, 593, 3450, 8239, 538, 707, 11359, 610, 15795, 3446, 1362, 267, 1491, 513, 1413, 693, 513, 17142, 540, 1893, 6575, 2238, 602, 1131, 581, 3501, 585, 1022, 8239, 3992, 269, 15147, 532, 1983, 971, 607, 2694, 540, 4633, 267, 4845, 543, 5037, 2483, 8333, 553, 543, 18509, 3215, 1520, 16633, 8893, 14136, 454, 275, 628, 910, 476, 279, 628, 18938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 15052, 741, 5132, 780, 288, 22781, 13351, 909, 513, 6643, 609, 519, 4807, 3297, 1200, 538, 1899, 267, 945, 5189, 9887, 607, 15310, 9874, 269, 1358, 3533, 27433, 936, 741, 3838, 10761, 543, 13285, 827, 519, 14232, 3460, 780, 257, 5970, 596, 2479, 5340, 670, 1690, 329, 1354, 8119, 15310, 9874, 4280, 780, 257, 5591, 267, 713, 786, 581, 1250, 1101, 942, 2437, 589, 22781, 14452, 269, 834, 296, 4312, 2141, 4941, 547, 979, 267, 855, 2760, 5433, 4712, 2394, 1631, 3010, 293, 520, 9874, 21330, 1623, 6312, 24312, 269, 834, 2005, 666, 581, 11566, 267, 2523, 585, 1346, 3257, 621, 585, 519, 1101, 942, 269, 1809, 594, 9153, 596, 267, 621, 781, 606, 1995, 899, 1100, 824, 269, 1411, 786, 1745, 865, 4448, 547, 16589, 543, 707, 8284, 12356, 3010, 2026, 789, 10004, 1540, 267, 589, 22781, 7691, 875, 1454, 1352, 2877, 547, 5873, 1346, 1913, 269, 1280, 1296, 267, 1352, 1185, 17388, 609, 4606, 540, 10072, 543, 771, 28947, 689, 1200, 5132, 2146, 269, 2701, 1419, 20402, 2436, 1352, 5963, 20705, 543, 952, 1200, 4978, 13988, 609, 1346, 1472, 1200, 780, 3719, 7555, 972, 609, 15310, 9874, 267, 7996, 547, 7832, 593, 713, 13411, 3460, 267, 1945, 17146, 3330, 540, 1200, 269, 9320, 1352, 4769, 1405, 723, 782, 519, 4267, 267, 6148, 1352, 7012, 1405, 3501, 267, 855, 1352, 729, 851, 540, 1945, 8273, 982, 9887, 269, 1656, 602, 20185, 4547, 1200, 513, 7096, 2631, 540, 4708, 780, 9961, 519, 31145, 267, 589, 22781, 1336, 9887, 7683, 6410, 676, 519, 24738, 543, 4992, 1472, 1200, 269, 3245, 519, 22125, 10754, 540, 2725, 17433, 547, 519, 964, 25544, 23617, 540, 631, 2088, 267, 1352, 14754, 9118, 8090, 540, 20174, 543, 21704, 780, 4263, 519, 18087, 19487, 267, 1352, 649, 696, 7258, 7366, 540, 1866, 267, 4743, 1312, 1208, 16940, 543, 23518, 676, 922, 26009, 4527, 269, 2311, 6778, 19966, 325, 520, 267, 1352, 19557, 32348, 607, 519, 708, 600, 9447, 1010, 28005, 517, 267, 28409, 873, 782, 547, 11441, 2509, 32660, 543, 8296, 780, 4517, 607, 1352, 15548, 538, 519, 588, 11238, 9161, 693, 11918, 541, 520, 267, 1352, 14952, 539, 693, 519, 13513, 540, 16213, 2476, 9409, 23339, 543, 8508, 1007, 20297, 269, 2060, 1142, 1900, 267, 1352, 1223, 1745, 1200, 22027, 543, 12194, 26632, 908, 267, 8719, 3079, 609, 513, 16012, 9355, 543, 3483, 780, 4002, 1200, 3803, 1554, 540, 670, 1690, 329, 267, 589, 22781, 2893, 4805, 2282, 519, 18087, 19487, 267, 8384, 519, 11995, 6908, 540, 1004, 4963, 743, 532, 1472, 621, 538, 11755, 269, 1306, 1352, 6806, 1200, 4064, 543, 26866, 1229, 1200, 1378, 1139, 997, 725, 267, 1352, 5433, 513, 10006, 540, 14696, 11547, 936, 1200, 780, 1607, 31145, 1185, 711, 1152, 22541, 1200, 5132, 855, 849, 13934, 1200, 11994, 540, 1018, 621, 5921, 547, 581, 513, 7332, 269, 3414, 7391, 609, 21046, 5828, 2828, 543, 21599, 538, 5553, 6040, 5389, 267, 1352, 4121, 602, 1200, 4984, 729, 5318, 543, 3309, 267, 4904, 609, 4055, 585, 7664, 543, 2208, 780, 7197, 11932, 267, 1352, 4362, 1369, 9887, 513, 6043, 543, 4222, 1352, 22821, 1405, 1634, 11478, 269, 1635, 6849, 1200, 12194, 543, 19480, 856, 540, 1200, 4313, 7997, 267, 1352, 9863, 547, 9887, 602, 1352, 729, 5827, 540, 811, 982, 1352, 2479, 16545, 780, 2026, 589, 22781, 5423, 547, 4734, 18142, 17936, 267, 1352, 6785, 602, 1200, 3460, 1185, 1152, 1175, 13175, 269, 12529, 1027, 676, 513, 2518, 2146, 3808, 676, 5132, 267, 1352, 5433, 9280, 547, 3068, 8726, 2591, 2482, 6619, 269, 769, 519, 1439, 267, 519, 3020, 1379, 540, 670, 1690, 329, 2482, 711, 1152, 538, 519, 2168, 957, 3294, 855, 849, 538, 519, 13710, 1764, 621, 2451, 593, 1346, 945, 546, 1563, 547, 1491, 519, 20014, 540, 5132, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 568, 519, 4644, 540, 519, 670, 1690, 329, 31145, 547, 12356, 888, 763, 670, 1690, 329, 31145, 568, 2808, 835, 540, 519, 1034, 1271, 543, 1713, 2621, 585, 12356, 269, 898, 568, 519, 11359, 30361, 540, 5771, 543, 568, 5340, 2899, 513, 1032, 1282, 519, 9099, 3923, 540, 20144, 592, 6953, 6359, 26400, 780, 763, 4644, 540, 519, 670, 1690, 329, 31145, 6013, 538, 519, 1249, 602, 621, 568, 513, 1106, 540, 10847, 602, 6770, 12356, 6251, 547, 16589, 269, 898, 568, 513, 942, 950, 12356, 689, 782, 936, 519, 1158, 2097, 1927, 538, 835, 1747, 547, 1685, 513, 3126, 540, 12738, 602, 22632, 519, 1272, 543, 10752, 540, 21024, 17124, 780, 763, 670, 1690, 329, 31145, 568, 849, 1713, 1317, 621, 19595, 12356, 540, 741, 9322, 543, 7862, 1354, 16589, 269, 4438, 519, 670, 1690, 329, 267, 782, 12356, 10571, 538, 519, 1482, 7802, 267, 1685, 519, 1482, 12738, 543, 7281, 1927, 538, 519, 1482, 1747, 267, 7488, 540, 741, 5198, 267, 22874, 610, 1514, 4567, 780, 12234, 267, 519, 670, 1690, 329, 31145, 568, 513, 942, 585, 12356, 547, 2992, 593, 741, 5132, 267, 3343, 19807, 543, 5710, 741, 7029, 547, 16589, 269, 898, 568, 513, 942, 547, 1033, 778, 689, 702, 10640, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 4241, 1158, 540, 10178, 6278, 543, 535, 663, 1682, 1369, 519, 9135, 540, 15705, 8613, 269, 1284, 2263, 875, 519, 17149, 12402, 540, 7499, 17279, 12969, 338, 609, 5304, 6788, 543, 7589, 267, 5935, 519, 6384, 540, 4207, 2442, 2528, 780, 272, 269, 3203, 2065, 3115, 564, 819, 543, 11300, 12472, 692, 9209, 1235, 2066, 1585, 10459, 4749, 30603, 4798, 267, 18305, 267, 543, 2553, 2429, 741, 11678, 269, 901, 3860, 17279, 666, 581, 1312, 18532, 543, 32436, 267, 3246, 513, 2631, 540, 23440, 543, 15364, 585, 9458, 269, 1717, 267, 972, 6818, 513, 5386, 1899, 1063, 3860, 4720, 543, 24715, 566, 282, 9991, 883, 519, 834, 20880, 15972, 257, 10522, 27531, 5169, 1275, 543, 5647, 585, 5010, 1967, 543, 4542, 545, 3589, 1464, 269, 1677, 1174, 891, 10848, 1732, 267, 1577, 721, 4983, 930, 4143, 6436, 543, 2013, 2090, 689, 2923, 5640, 971, 607, 8361, 23514, 9469, 262, 1523, 540, 29355, 2528, 543, 20917, 22193, 262, 10206, 540, 28146, 9297, 780, 273, 269, 12160, 2218, 9177, 543, 7956, 783, 7313, 18291, 692, 1103, 1010, 9565, 960, 834, 17806, 783, 7313, 18291, 2437, 8361, 23514, 9469, 13187, 602, 11655, 8362, 4497, 609, 2686, 5931, 676, 3261, 908, 267, 1121, 30480, 267, 543, 973, 597, 1529, 908, 2326, 2813, 676, 3318, 4589, 269, 1635, 10283, 538, 713, 1184, 267, 11655, 1831, 1071, 2275, 805, 832, 945, 948, 1628, 543, 2226, 7524, 2950, 1472, 3838, 4690, 269, 1280, 3236, 267, 7421, 519, 31733, 28037, 26517, 17807, 630, 10157, 308, 264, 998, 23514, 9469, 262, 7828, 8761, 3875, 8320, 1141, 10178, 1148, 267, 5708, 267, 5430, 2452, 267, 543, 824, 3029, 540, 4082, 723, 6766, 7766, 8874, 543, 3126, 267, 20515, 513, 1623, 25027, 2078, 1063, 15888, 543, 6800, 780, 274, 269, 589, 8997, 8859, 625, 543, 3474, 622, 868, 783, 29283, 692, 300, 3430, 22193, 13976, 2390, 23514, 9469, 262, 2093, 676, 10962, 519, 2165, 1412, 320, 8997, 11615, 10086, 10771, 3929, 5092, 607, 513, 6117, 3196, 3297, 10178, 2853, 269, 1261, 29102, 602, 1612, 622, 868, 338, 1107, 606, 322, 16736, 2326, 18913, 3119, 1568, 267, 899, 17063, 2987, 14676, 267, 25584, 267, 543, 30572, 11044, 1107, 1404, 2629, 5107, 538, 5807, 4514, 4296, 1063, 13588, 543, 3197, 269, 3414, 6313, 519, 9823, 27326, 17807, 630, 291, 4753, 308, 1070, 649, 7747, 875, 2782, 1676, 645, 4592, 9538, 6725, 2994, 22393, 8597, 547, 6131, 11655, 267, 5356, 873, 12600, 1569, 547, 24045, 6386, 543, 15138, 2833, 269, 9182, 267, 891, 7341, 24772, 21951, 14017, 543, 3565, 3648, 547, 4216, 5604, 19614, 780, 275, 269, 17012, 577, 2358, 543, 5395, 658, 1436, 692, 21841, 12516, 23471, 2478, 7048, 8185, 593, 17626, 1436, 1813, 547, 741, 7915, 1761, 585, 8398, 21288, 9423, 543, 9750, 5203, 525, 269, 1306, 801, 3930, 2832, 547, 11694, 12434, 676, 16089, 2789, 3888, 906, 21276, 569, 267, 4145, 827, 32033, 7024, 8451, 269, 3683, 516, 18910, 593, 3964, 12596, 949, 1291, 547, 796, 13092, 4729, 6050, 543, 4630, 4094, 1242, 15312, 267, 6038, 9813, 908, 13680, 9458, 543, 771, 26067, 13589, 2182, 14537, 13794, 269, 3776, 6514, 540, 3811, 23471, 2478, 899, 14330, 308, 267, 667, 4753, 308, 267, 543, 28923, 781, 4347, 11367, 521, 15676, 19286, 919, 875, 7580, 4058, 267, 5499, 14624, 267, 543, 7229, 4220, 5512, 4264, 2208, 5103, 13350, 561, 1638, 338, 780, 276, 269, 19078, 19047, 543, 10748, 1466, 26930, 692, 4407, 10178, 6278, 6770, 3875, 2640, 267, 5683, 21140, 849, 10836, 7282, 7214, 3959, 2924, 267, 6041, 6214, 267, 543, 4074, 14226, 269, 1215, 1058, 15888, 3666, 5010, 6650, 2510, 609, 7499, 8699, 286, 1548, 9021, 798, 11655, 7703, 2509, 12790, 2516, 543, 26173, 9739, 1369, 15705, 6386, 286, 18601, 891, 2152, 735, 1564, 721, 547, 9691, 2992, 593, 938, 1909, 607, 3742, 5171, 538, 5935, 2686, 27964, 4478, 15705, 7641, 11964, 780, 277, 269, 8892, 19648, 543, 24021, 12367, 692, 763, 2479, 21608, 5251, 540, 15705, 8613, 6799, 3078, 3255, 585, 2417, 1382, 269, 2060, 18297, 5867, 10243, 532, 3309, 1793, 919, 540, 2982, 10023, 14758, 8153, 12325, 543, 4244, 5380, 267, 23827, 908, 875, 891, 7835, 1764, 10178, 4529, 3587, 5051, 1271, 269, 5015, 267, 3695, 6932, 4066, 899, 5691, 4641, 543, 21284, 4641, 1223, 8774, 1769, 593, 3209, 12331, 540, 10178, 5872, 543, 2146, 5250, 780, 9961, 713, 1576, 1770, 267, 649, 11441, 547, 22113, 519, 6946, 3347, 1851, 7499, 17279, 267, 10178, 6278, 267, 543, 15705, 23471, 2478, 269, 1635, 12561, 513, 13857, 1935, 16135, 538, 7811, 10850, 543, 12170, 2963, 267, 649, 29954, 790, 547, 6536, 2565, 3206, 1983, 1898, 585, 26762, 543, 10188, 2221, 781, 6422, 18657, 2444, 1901, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9336, 7376, 28197, 5128, 269, 1809, 950, 568, 3860, 17279, 3015, 286, 2311, 1018, 1448, 798, 5159, 2887, 883, 519, 968, 20880, 15972, 2223, 519, 3860, 4090, 538, 799, 5169, 1275, 543, 5647, 616, 15995, 5344, 538, 3870, 540, 9746, 627, 1819, 558, 267, 2083, 20321, 561, 340, 920, 267, 543, 1106, 783, 545, 18657, 4531, 640, 888, 9336, 7376, 28197, 5128, 267, 1419, 1510, 1373, 26256, 714, 656, 540, 621, 281, 30031, 21050, 525, 267, 1915, 18840, 18196, 267, 15116, 23199, 267, 543, 3982, 9423, 7575, 269, 634, 811, 30508, 519, 7376, 267, 519, 811, 2693, 519, 7376, 786, 10956, 5128, 269, 594, 1589, 540, 875, 20717, 576, 8349, 744, 919, 2443, 9887, 27314, 569, 2019, 6058, 748, 2443, 19528, 519, 25695, 635, 325, 2176, 540, 12511, 532, 538, 519, 21987, 540, 16236, 538, 1200, 17728, 267, 589, 654, 573, 578, 779, 9452, 267, 1247, 5373, 513, 2147, 6476, 1063, 2669, 543, 12511, 7738, 538, 1200, 2110, 1650, 968, 290, 3784, 1633, 16505, 6658, 892, 630, 935, 22633, 538, 594, 2549, 3143, 2290, 1411, 5700, 1916, 3383, 2016, 602, 17279, 568, 513, 3860, 12491, 527, 1464, 267, 875, 798, 596, 2057, 621, 286, 1656, 950, 568, 17279, 11807, 286, 1452, 616, 4105, 2055, 547, 2015, 538, 606, 2085, 540, 29929, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 534, 22580, 543, 674, 663, 1682, 538, 8111, 12516, 7641, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 2637, 637, 1315, 8111, 12516, 525, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 827, 519, 2450, 540, 513, 5420, 13355, 666, 540, 3032, 1426, 269, 1403, 596, 2461, 4058, 547, 3049, 707, 3032, 27966, 585, 513, 1279, 942, 267, 596, 3580, 1616, 547, 1118, 2386, 596, 1810, 1406, 936, 4777, 621, 563, 4692, 7314, 723, 28655, 16469, 888, 290, 1846, 616, 8078, 622, 23097, 2803, 267, 2495, 789, 991, 513, 1164, 23343, 6458, 2732, 689, 3662, 2959, 269, 1717, 267, 9268, 16469, 616, 711, 513, 5227, 2707, 540, 3662, 3940, 585, 7314, 269, 7102, 5779, 12873, 676, 7296, 267, 27955, 267, 610, 2892, 1154, 568, 1572, 513, 9268, 5779, 269, 19949, 616, 9631, 16622, 2803, 267, 2495, 789, 3548, 1312, 2030, 543, 3662, 3536, 563, 5445, 849, 3548, 513, 2647, 3099, 540, 5613, 267, 5388, 267, 10808, 267, 5452, 267, 543, 22053, 267, 607, 1134, 607, 3165, 267, 16738, 267, 5798, 267, 5144, 267, 5779, 267, 3165, 3282, 267, 10683, 2472, 630, 10175, 18506, 267, 10381, 267, 4672, 8645, 267, 3092, 13776, 543, 5798, 269, 769, 1840, 267, 789, 666, 581, 23097, 5387, 610, 24549, 5387, 267, 4470, 593, 519, 1826, 540, 1426, 789, 616, 4189, 563, 4692, 594, 2285, 1250, 3032, 513, 3787, 540, 28655, 13687, 888, 2005, 779, 849, 1271, 602, 596, 798, 711, 2285, 707, 3032, 27574, 267, 28655, 610, 23174, 13687, 1317, 891, 2270, 1164, 2157, 540, 9770, 602, 666, 581, 5906, 585, 7314, 267, 543, 5732, 2014, 2669, 269, 1403, 596, 14353, 707, 3032, 949, 723, 13881, 713, 1826, 540, 3165, 267, 596, 1058, 1491, 873, 547, 519, 17022, 563, 4692, 7314, 3548, 28655, 521, 731, 1149, 888, 763, 2640, 540, 521, 731, 1149, 585, 707, 26804, 3659, 616, 7396, 676, 9697, 1417, 878, 269, 1358, 2461, 513, 1434, 2707, 540, 15060, 268, 274, 9761, 7408, 630, 6518, 616, 1271, 585, 519, 1072, 540, 707, 3032, 779, 2634, 543, 8401, 1062, 1070, 543, 789, 2461, 1164, 538, 7513, 267, 13101, 267, 11379, 267, 543, 824, 6886, 602, 616, 1898, 585, 2635, 7633, 543, 4522, 563, 31936, 267, 789, 723, 513, 2603, 540, 8324, 543, 6886, 267, 1519, 6171, 589, 267, 667, 267, 661, 267, 918, 267, 645, 1321, 267, 31833, 267, 10775, 1993, 15442, 514, 267, 20562, 582, 1156, 545, 3679, 267, 31093, 267, 6171, 645, 277, 267, 555, 3554, 710, 267, 562, 13519, 514, 29524, 267, 7510, 5090, 2135, 710, 8652, 18608, 728, 267, 1979, 582, 514, 267, 7601, 267, 22670, 267, 13058, 267, 4401, 267, 544, 8432, 321, 6577, 636, 267, 7513, 543, 13101, 269, 1924, 267, 952, 596, 2461, 3168, 585, 513, 1259, 547, 2285, 707, 535, 7875, 17879, 513, 2635, 15165, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 563, 4692, 5243, 3548, 28655, 3165, 888, 15463, 2590, 543, 12979, 990, 625, 616, 1390, 23937, 547, 513, 2915, 779, 2732, 267, 855, 1152, 952, 6039, 6151, 610, 5265, 11273, 269, 3911, 12097, 267, 4584, 1194, 267, 2261, 514, 12184, 610, 27574, 3165, 568, 711, 5227, 267, 607, 621, 3568, 824, 5820, 602, 666, 581, 6757, 547, 5243, 563, 291, 9233, 1058, 711, 581, 4847, 547, 3548, 6151, 32729, 267, 971, 607, 23690, 9094, 267, 804, 4461, 267, 1660, 17632, 267, 26029, 267, 10981, 3122, 267, 543, 1085, 718, 3591, 269, 1358, 1058, 1152, 581, 2016, 6151, 3165, 602, 814, 1044, 8499, 11273, 547, 4894, 519, 7633, 543, 7387, 269, 1403, 596, 616, 18516, 827, 519, 3106, 540, 513, 1880, 3165, 267, 2307, 707, 16943, 563, 4692, 7314, 3548, 2892, 1540, 5672, 651, 7758, 888, 21547, 651, 7758, 568, 711, 513, 2347, 2732, 585, 7314, 607, 621, 3085, 1406, 2743, 741, 2115, 269, 5502, 267, 621, 666, 581, 1031, 607, 513, 1521, 610, 607, 851, 540, 513, 2635, 267, 7059, 2732, 563, 1432, 3032, 1426, 568, 11318, 7314, 888, 5415, 982, 476, 4968, 7314, 723, 5747, 689, 26804, 3443, 1097, 9008, 29646, 538, 519, 5177, 267, 513, 2783, 799, 3123, 519, 1297, 540, 1973, 2281, 547, 2887, 6385, 269, 31700, 602, 519, 2068, 949, 723, 1044, 3361, 676, 4620, 1426, 19430, 519, 11291, 540, 930, 12478, 540, 3819, 3032, 1426, 269, 634, 5253, 11621, 10837, 630, 293, 6347, 264, 1767, 621, 729, 14236, 519, 2014, 540, 519, 7972, 563, 10527, 674, 6347, 568, 3222, 540, 5359, 602, 930, 7314, 949, 581, 4299, 676, 519, 2783, 563, 1432, 616, 7314, 711, 4847, 547, 3548, 888, 10214, 1498, 7314, 666, 3548, 930, 5388, 267, 19637, 267, 13342, 267, 682, 4060, 267, 1085, 718, 687, 267, 4927, 1824, 267, 543, 669, 1161, 616, 5739, 547, 7314, 267, 4929, 16063, 2042, 543, 1256, 3441, 547, 2699, 1973, 2281, 269, 12275, 997, 3694, 568, 513, 1434, 1383, 540, 513, 1426, 5627, 5388, 543, 11922, 269, 901, 568, 513, 4006, 4568, 602, 568, 1336, 6923, 538, 1082, 5613, 543, 5388, 269, 898, 568, 1031, 607, 513, 6653, 10273, 538, 21400, 10733, 543, 607, 606, 12146, 538, 930, 31496, 563, 4913, 267, 621, 666, 849, 581, 1336, 538, 3536, 602, 616, 1164, 538, 3170, 543, 8501, 267, 1519, 7423, 267, 5768, 25978, 267, 561, 731, 267, 28019, 267, 10487, 17064, 571, 583, 267, 949, 30358, 1047, 267, 11337, 577, 1575, 267, 28401, 267, 4584, 956, 267, 882, 880, 267, 521, 731, 1149, 267, 27574, 27966, 267, 9269, 267, 14132, 267, 20230, 267, 21429, 267, 3165, 267, 5798, 267, 5144, 267, 10381, 267, 18506, 267, 11877, 8645, 267, 9932, 267, 12387, 13293, 267, 25308, 21360, 267, 6995, 267, 7401, 267, 14420, 267, 9174, 267, 16693, 267, 11993, 10433, 267, 18812, 26258, 267, 13212, 267, 533, 8986, 267, 890, 2851, 267, 3284, 878, 1824, 543, 890, 322, 753, 269, 1452, 616, 1175, 513, 1906, 540, 519, 1082, 3536, 543, 5820, 602, 666, 581, 5906, 547, 707, 3032, 779, 1072, 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 ]
[ 1927, 269, 3962, 3239, 18056, 519, 8049, 5918, 334, 540, 2081, 789, 1932, 1223, 1921, 609, 519, 1158, 1472, 873, 780, 7661, 267, 7200, 773, 1185, 513, 2243, 827, 10700, 2495, 269, 834, 3963, 798, 649, 2141, 2161, 1434, 25742, 547, 1142, 824, 1354, 21557, 286, 1548, 781, 865, 6209, 827, 602, 12482, 4415, 513, 2571, 12837, 267, 7905, 4469, 13616, 2421, 12943, 267, 834, 306, 11691, 1434, 9519, 19595, 721, 602, 1100, 2339, 1141, 649, 979, 610, 1018, 4523, 1282, 519, 1554, 267, 649, 1869, 1416, 7184, 585, 835, 1776, 269, 5617, 773, 1324, 538, 2648, 543, 4296, 267, 5103, 1022, 9465, 267, 6770, 4126, 543, 6418, 4222, 269, 1656, 602, 267, 15210, 8298, 984, 13903, 267, 568, 519, 9759, 540, 31597, 12791, 3010, 4517, 865, 267, 7200, 773, 543, 15039, 4797, 1565, 827, 8298, 8839, 896, 519, 5583, 540, 7905, 4469, 13616, 2421, 267, 10825, 11587, 543, 7772, 2429, 741, 22539, 1158, 269, 3414, 2241, 6411, 543, 3838, 8090, 267, 789, 1336, 10103, 1369, 2933, 543, 4448, 609, 1866, 267, 2870, 11995, 7399, 585, 2208, 543, 6602, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1292, 3483, 540, 713, 3184, 568, 547, 6338, 23819, 30004, 7671, 331, 779, 2845, 8839, 547, 519, 476, 2641, 560, 2540, 267, 2523, 547, 2318, 16895, 5461, 538, 2495, 1382, 543, 3156, 269, 7671, 331, 779, 32753, 2318, 5048, 540, 556, 25993, 1944, 21911, 568, 1454, 2877, 538, 519, 1699, 6639, 2528, 269, 2859, 4481, 267, 594, 2491, 519, 2596, 10054, 540, 2845, 8839, 543, 14377, 873, 883, 513, 1449, 762, 2495, 5498, 22701, 2203, 547, 7520, 2495, 1382, 543, 6304, 269, 901, 2203, 5161, 540, 2947, 19165, 281, 630, 272, 264, 634, 8682, 6874, 4920, 25728, 775, 29138, 281, 634, 786, 547, 2495, 568, 513, 5289, 543, 3119, 8404, 585, 1582, 20675, 25728, 775, 282, 3976, 267, 621, 25221, 602, 5289, 11444, 630, 324, 3052, 1421, 5289, 1416, 267, 1582, 20675, 25728, 775, 264, 786, 3986, 2495, 538, 1272, 543, 1134, 5630, 267, 1256, 950, 824, 11444, 547, 1134, 5630, 616, 711, 2139, 269, 630, 273, 264, 634, 31597, 12791, 29138, 281, 898, 25221, 602, 3661, 538, 519, 17271, 2495, 543, 1871, 540, 1272, 267, 7488, 540, 6381, 267, 568, 811, 6198, 982, 4244, 5895, 320, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19868, 8839, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 1401, 626, 1113, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 278, 281, 2494, 622, 525, 910, 22918, 548, 16902, 1218, 540, 519, 7256, 692, 5970, 596, 2479, 4862, 540, 513, 13442, 1572, 513, 812, 622, 324, 286, 1358, 616, 3006, 1634, 607, 4262, 16933, 1317, 789, 6108, 741, 2395, 7444, 10977, 998, 3636, 267, 13719, 7297, 543, 4189, 2371, 269, 1452, 9543, 23766, 616, 4241, 11864, 602, 1289, 930, 540, 938, 5172, 16314, 9634, 1753, 256, 2913, 781, 4685, 538, 543, 1451, 811, 827, 891, 2648, 762, 7286, 2831, 780, 1432, 568, 513, 2494, 622, 324, 888, 2411, 13430, 288, 812, 622, 324, 568, 513, 1804, 267, 12748, 25850, 602, 2729, 538, 8933, 267, 1609, 340, 2456, 267, 536, 904, 267, 543, 9381, 2127, 269, 1703, 616, 1614, 1114, 2249, 267, 610, 2010, 267, 540, 812, 622, 525, 1336, 1472, 519, 1158, 1107, 519, 4639, 4095, 812, 622, 324, 630, 11398, 538, 519, 25878, 2136, 2276, 1070, 519, 8835, 1014, 812, 622, 324, 630, 5228, 3162, 3013, 1070, 543, 519, 3979, 812, 622, 324, 630, 5228, 7262, 4000, 1040, 16989, 812, 622, 525, 2356, 9260, 1063, 476, 6110, 547, 476, 272, 267, 4335, 6550, 630, 7474, 781, 899, 2348, 476, 273, 547, 476, 278, 3328, 13355, 6517, 16889, 593, 1283, 540, 873, 14386, 543, 1332, 909, 547, 476, 1724, 3952, 1279, 269, 2334, 2306, 873, 835, 540, 519, 7887, 7068, 538, 741, 1604, 2439, 4462, 1664, 17972, 454, 1366, 15365, 10048, 622, 525, 723, 1896, 2189, 2934, 602, 948, 873, 7639, 14015, 269, 2290, 540, 741, 3579, 652, 7592, 568, 741, 2702, 547, 3180, 741, 7362, 585, 909, 547, 476, 736, 3764, 1354, 4947, 1394, 909, 547, 519, 2627, 585, 2011, 269, 901, 2501, 538, 13561, 950, 789, 991, 547, 1964, 693, 3781, 282, 3079, 540, 7683, 13735, 547, 519, 2627, 1169, 7008, 540, 3764, 267, 789, 10581, 25678, 2282, 519, 1216, 779, 6316, 1247, 2921, 3500, 267, 2620, 24967, 269, 1215, 798, 789, 13236, 267, 1287, 286, 4270, 267, 812, 622, 525, 2965, 723, 1079, 19911, 337, 2812, 267, 2147, 547, 1346, 540, 3425, 267, 799, 1450, 873, 547, 1491, 538, 5135, 3362, 269, 1879, 621, 781, 942, 585, 873, 547, 759, 16577, 267, 789, 3274, 12740, 741, 562, 4680, 856, 540, 519, 1216, 547, 13236, 269, 30474, 16517, 2439, 5194, 4277, 4183, 540, 812, 622, 525, 568, 741, 2960, 269, 9521, 824, 7286, 2831, 945, 1522, 723, 5347, 10253, 610, 11315, 16115, 267, 812, 622, 525, 4865, 5394, 267, 23743, 569, 2960, 269, 4256, 4703, 1745, 3592, 12285, 344, 547, 5905, 1813, 547, 6106, 540, 1025, 889, 828, 18284, 741, 2960, 269, 2349, 889, 828, 6411, 607, 13471, 267, 5329, 873, 3636, 1256, 538, 4411, 1216, 5210, 269, 8342, 1249, 281, 9894, 596, 917, 602, 812, 622, 525, 8774, 741, 2960, 1454, 899, 649, 6336, 4666, 2960, 2281, 286, 5272, 865, 1419, 267, 789, 6299, 1996, 7725, 267, 20743, 267, 610, 824, 3615, 547, 608, 9110, 5573, 267, 6028, 3297, 1507, 4773, 540, 12457, 880, 22554, 2960, 1166, 1389, 23401, 1476, 31899, 2439, 291, 2884, 1299, 26335, 454, 1366, 19567, 2026, 24549, 2803, 267, 812, 622, 525, 5097, 3548, 694, 698, 337, 13293, 543, 824, 12748, 10664, 269, 4635, 741, 1490, 626, 569, 17534, 267, 789, 9787, 7404, 2371, 543, 15237, 1055, 3762, 547, 25261, 593, 269, 5221, 789, 8532, 6266, 540, 1426, 3232, 630, 1575, 547, 476, 1015, 260, 540, 741, 1560, 2597, 256, 1070, 2635, 694, 698, 14993, 15135, 616, 2629, 585, 4509, 14762, 812, 622, 324, 5095, 780, 7197, 812, 622, 525, 4782, 2713, 538, 9350, 267, 9597, 5652, 7297, 1141, 11975, 949, 1265, 10122, 2352, 269, 1717, 267, 15911, 1216, 5210, 616, 1898, 2094, 789, 3112, 10038, 741, 1378, 1560, 3002, 7561, 269, 1306, 513, 1267, 267, 1282, 5162, 3275, 538, 21617, 16374, 267, 1082, 812, 622, 525, 22109, 547, 2067, 20950, 610, 1379, 2030, 11166, 4609, 1141, 519, 1216, 3788, 9846, 3636, 2614, 585, 6668, 269, 10251, 267, 1480, 2238, 971, 607, 5533, 543, 10935, 6808, 10460, 3978, 6937, 547, 891, 561, 990, 762, 7068, 269, 3509, 3906, 960, 24091, 547, 2149, 543, 8190, 9249, 2565, 547, 812, 622, 525, 262, 8171, 780, 8256, 3569, 27557, 454, 2411, 21387, 9961, 1686, 267, 1004, 32170, 812, 622, 525, 585, 5779, 543, 3282, 269, 27009, 267, 2705, 267, 10122, 814, 1044, 17049, 538, 1082, 4025, 1813, 547, 19394, 2551, 2338, 269, 3958, 267, 5726, 3646, 1445, 593, 7863, 1271, 9249, 543, 18997, 1866, 827, 3743, 1630, 908, 2853, 269, 1635, 1565, 827, 812, 622, 525, 1631, 267, 596, 1932, 666, 1831, 15156, 585, 741, 4027, 676, 10825, 4656, 543, 8716, 2922, 4205, 609, 891, 6909, 2831, 780, 1103, 10390, 454, 1366, 19030, 3383, 972, 596, 723, 621, 1107, 3388, 596, 4941, 547, 917, 827, 812, 622, 525, 855, 4769, 1405, 8275, 2394, 1631, 256, 3245, 741, 11999, 2450, 543, 9543, 2470, 547, 741, 2189, 14624, 267, 812, 622, 525, 6961, 2933, 9058, 11317, 540, 3047, 781, 3309, 12084, 269, 8921, 942, 596, 1544, 513, 11824, 2515, 16314, 267, 1832, 707, 4064, 22019, 539, 585, 4191, 540, 891, 15999, 11864, 1350, 4575, 30780, 9944, 519, 6329, 269, 5808, 6487, 267, 6148, 596, 3513, 6952, 513, 19214, 540, 835, 540, 891, 21792, 4262, 16933, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30706, 6921, 3547, 2817, 5244, 568, 10704, 593, 513, 5318, 31210, 26868, 609, 4718, 24124, 23047, 1127, 543, 22600, 17311, 10195, 563, 763, 6288, 6585, 519, 4102, 6024, 1796, 540, 4718, 24124, 31403, 538, 3345, 3013, 543, 519, 4102, 22600, 17311, 5117, 538, 519, 5375, 25955, 269, 898, 781, 519, 7226, 540, 12219, 2249, 971, 607, 519, 8419, 20562, 615, 267, 2879, 841, 30866, 267, 32613, 1807, 267, 25438, 850, 543, 812, 622, 324, 269, 898, 849, 568, 519, 1034, 1713, 9960, 2666, 585, 530, 8172, 5017, 538, 3345, 3013, 563, 26322, 21887, 281, 4092, 1175, 513, 1906, 3268, 689, 24543, 267, 713, 568, 513, 5318, 19069, 1858, 269, 1280, 2110, 3856, 8436, 267, 519, 1323, 3107, 320, 20417, 568, 5227, 585, 3478, 2673, 547, 7320, 607, 1281, 1744, 1046, 9503, 269, 1809, 968, 2414, 5963, 1995, 519, 17451, 6921, 3547, 835, 1590, 581, 8348, 547, 581, 10169, 9035, 727, 269, 589, 7552, 1524, 519, 23795, 538, 513, 31614, 752, 610, 513, 666, 4141, 7552, 883, 519, 9703, 568, 513, 22742, 1995, 540, 513, 10715, 1848, 918, 5055, 639, 2488, 4388, 593, 875, 547, 3643, 519, 6288, 1510, 513, 1286, 267, 543, 27950, 6257, 513, 1554, 7552, 689, 519, 2107, 1633, 334, 1858, 563, 24961, 540, 17451, 6921, 3547, 299, 1933, 4786, 454, 1103, 2038, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10048, 622, 525, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 26495, 1023, 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, 538, 513, 9341, 6532, 1572, 18518, 538, 519, 4190, 12144, 4262, 267, 972, 5030, 513, 7874, 812, 3957, 8381, 5459, 269, 8381, 5459, 729, 1134, 1634, 543, 6068, 676, 3025, 1317, 646, 5129, 519, 1034, 8748, 2575, 593, 1010, 2027, 13176, 269, 1261, 1131, 1404, 896, 519, 12094, 540, 513, 2462, 3529, 1169, 1554, 1310, 12899, 5503, 267, 1818, 782, 519, 5017, 2206, 543, 7544, 2059, 269, 634, 3280, 540, 1010, 13176, 4547, 7772, 547, 3025, 945, 4862, 621, 2439, 3080, 13566, 12784, 267, 1247, 4730, 1010, 13176, 267, 8381, 5459, 8068, 1945, 15116, 8345, 538, 519, 3845, 910, 6263, 3109, 10945, 941, 9991, 7444, 689, 519, 6607, 899, 3762, 5645, 2476, 676, 519, 2842, 269, 30985, 267, 2370, 8381, 5459, 4956, 547, 8495, 269, 1306, 646, 3893, 6251, 267, 646, 7691, 789, 14201, 1405, 3762, 693, 782, 267, 855, 9490, 6366, 25965, 1500, 540, 930, 4990, 540, 21743, 1570, 269, 1358, 6743, 2147, 547, 519, 1507, 6486, 1004, 1031, 950, 789, 4941, 547, 1289, 2576, 2484, 2476, 1210, 1346, 12357, 6158, 3457, 1572, 7658, 10746, 269, 1452, 3283, 1498, 267, 8604, 1114, 11214, 780, 30948, 616, 891, 8119, 4280, 8381, 5459, 16965, 269, 3807, 1287, 267, 513, 8797, 2025, 1612, 8527, 10760, 16841, 12943, 267, 834, 17829, 616, 1018, 649, 1289, 3244, 21998, 267, 1762, 22459, 269, 4658, 2322, 873, 3330, 741, 5985, 11436, 865, 789, 666, 5968, 811, 3362, 3010, 24841, 5459, 21330, 24617, 1354, 6998, 1776, 2243, 269, 834, 3963, 798, 789, 1413, 899, 789, 616, 986, 1456, 1524, 689, 519, 6607, 12482, 257, 11039, 2437, 14452, 519, 1612, 8527, 267, 834, 16269, 2097, 689, 15408, 28835, 1164, 909, 538, 2230, 269, 6884, 267, 1813, 547, 1978, 2175, 267, 789, 1205, 20247, 617, 3022, 543, 2132, 547, 3047, 607, 20027, 4764, 3010, 2026, 8381, 5459, 4797, 6972, 267, 4503, 538, 2219, 267, 646, 16686, 2390, 513, 1895, 540, 3214, 3843, 547, 5531, 519, 15468, 1138, 6486, 269, 2290, 1126, 4371, 513, 3926, 799, 10268, 2338, 543, 5022, 267, 9583, 10010, 547, 1174, 875, 621, 5249, 269, 22628, 713, 267, 938, 5363, 3659, 14059, 873, 543, 6035, 6351, 780, 3891, 6045, 267, 834, 2791, 1294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 21805, 3778, 910, 634, 12472, 543, 27264, 540, 29673, 16511, 558, 582, 1161, 692, 7072, 912, 1103, 519, 3045, 1023, 540, 6283, 1686, 267, 1906, 6191, 3180, 607, 1454, 27559, 543, 22906, 607, 519, 9252, 21525, 12067, 269, 1452, 581, 1335, 16251, 540, 4401, 543, 5374, 2899, 12199, 519, 986, 2812, 267, 741, 726, 6979, 540, 8673, 543, 695, 18115, 27646, 7674, 607, 6698, 540, 3013, 781, 4853, 1522, 269, 901, 1576, 1770, 12538, 883, 713, 3638, 6561, 998, 519, 7828, 540, 513, 1808, 21525, 12067, 267, 7335, 476, 13975, 273, 267, 1247, 3246, 513, 6626, 13865, 1436, 540, 16456, 1646, 269, 1635, 3695, 3584, 971, 607, 519, 4720, 540, 9252, 1379, 267, 519, 1764, 540, 7841, 1811, 593, 1977, 2486, 267, 543, 519, 11091, 3350, 267, 1053, 786, 2744, 513, 7096, 7071, 585, 891, 15999, 6191, 543, 741, 1909, 538, 5935, 2413, 10340, 780, 6637, 2290, 281, 634, 17510, 540, 29673, 5295, 454, 6524, 11362, 883, 519, 1880, 338, 540, 9252, 21525, 10056, 267, 621, 568, 1898, 547, 1174, 519, 8129, 540, 9252, 1379, 3294, 269, 18023, 832, 2429, 1686, 11442, 539, 609, 1585, 6272, 6322, 693, 19713, 519, 1761, 1648, 6740, 1369, 1216, 11517, 269, 1717, 267, 621, 7012, 1405, 2394, 6276, 654, 3430, 781, 9283, 2390, 1715, 1260, 523, 781, 11626, 2599, 538, 519, 3735, 22733, 2540, 602, 9252, 1379, 5963, 3357, 883, 922, 1378, 269, 2060, 2799, 4398, 543, 16566, 267, 654, 3430, 781, 10124, 21490, 519, 1259, 585, 7839, 10073, 2066, 6080, 267, 1034, 16113, 538, 6283, 780, 6637, 5565, 281, 7216, 3763, 906, 538, 24020, 5303, 454, 2026, 9252, 2029, 4359, 267, 865, 1932, 1705, 519, 27606, 540, 8030, 5275, 547, 4019, 621, 547, 6655, 1734, 269, 19461, 8942, 5059, 593, 7311, 7504, 12741, 547, 8868, 539, 1286, 17699, 3842, 10814, 1949, 610, 19335, 9817, 269, 2755, 3908, 538, 9165, 543, 3498, 267, 891, 6901, 9788, 519, 24536, 585, 811, 10427, 7835, 269, 16828, 267, 5075, 2456, 899, 9400, 7066, 341, 603, 1157, 543, 6723, 5153, 2380, 517, 1131, 4020, 519, 1101, 2407, 8397, 16749, 9817, 5827, 540, 4412, 2454, 2933, 543, 8101, 13907, 2059, 4496, 13475, 269, 1306, 891, 18563, 6591, 20086, 1312, 19562, 8271, 543, 12777, 267, 789, 1305, 519, 3942, 585, 606, 13778, 4838, 538, 2244, 3560, 780, 6637, 8422, 281, 634, 1306, 25728, 3599, 540, 29673, 16511, 558, 582, 1161, 454, 5629, 3964, 267, 9252, 14617, 7841, 1811, 6385, 9450, 2429, 2342, 543, 3345, 3013, 1282, 519, 13524, 2540, 269, 4256, 3310, 15449, 730, 1169, 25246, 540, 1272, 267, 689, 6683, 543, 5663, 547, 2792, 5121, 543, 4683, 4058, 269, 11569, 267, 519, 1360, 5958, 540, 2486, 9927, 896, 519, 2597, 540, 713, 16012, 10688, 269, 3143, 3476, 16876, 676, 10923, 7496, 610, 2168, 7687, 267, 1004, 1166, 18088, 547, 24567, 4872, 267, 27513, 2590, 2804, 2208, 543, 5807, 2686, 5385, 593, 606, 26080, 4336, 780, 6637, 9050, 281, 19032, 7010, 543, 25895, 21992, 906, 454, 2414, 2743, 32117, 3747, 267, 9755, 16111, 15568, 543, 556, 19960, 1441, 21525, 12067, 1374, 269, 28088, 656, 7648, 13714, 730, 13387, 8760, 14565, 267, 3850, 12427, 547, 16174, 1063, 19635, 3631, 1759, 593, 8868, 11460, 543, 824, 10747, 4162, 269, 1280, 3236, 267, 7335, 476, 13975, 273, 12851, 547, 519, 22644, 539, 476, 275, 268, 279, 268, 275, 7121, 1765, 6577, 7627, 2185, 3056, 14743, 267, 5216, 6117, 14743, 267, 543, 1079, 911, 4979, 14743, 269, 6270, 19383, 13087, 3677, 26925, 543, 4824, 8778, 633, 4674, 267, 7551, 7393, 2773, 543, 17545, 269, 5015, 267, 6639, 2261, 12069, 971, 607, 2706, 515, 11596, 267, 3049, 4248, 28909, 267, 543, 7344, 588, 758, 619, 21284, 4492, 4398, 543, 10512, 15325, 267, 9160, 532, 9252, 781, 17282, 1134, 883, 519, 14206, 2540, 780, 6637, 12866, 281, 13207, 710, 543, 1763, 30029, 540, 29673, 16511, 558, 582, 1161, 454, 8601, 741, 3768, 529, 1584, 539, 23258, 267, 9252, 21525, 582, 1161, 5185, 20387, 2604, 689, 28928, 4066, 269, 11272, 543, 17088, 3887, 10431, 8925, 16219, 3152, 4346, 267, 10727, 267, 543, 8897, 540, 5826, 269, 9182, 267, 1082, 16456, 338, 1904, 539, 547, 13649, 741, 7904, 1115, 679, 11792, 572, 267, 931, 793, 532, 9252, 547, 519, 3045, 1023, 540, 1686, 269, 8616, 267, 19911, 28101, 30174, 1851, 12439, 945, 6444, 519, 9048, 2897, 762, 19259, 543, 3140, 4644, 7915, 538, 891, 23836, 6191, 269, 4935, 267, 519, 11091, 3350, 7153, 267, 6131, 547, 17420, 2824, 15013, 585, 2104, 5481, 780, 6637, 14520, 281, 8865, 5530, 1107, 7335, 476, 13975, 273, 454, 5978, 17122, 1448, 267, 7335, 476, 13975, 273, 267, 28837, 519, 29217, 543, 5513, 2827, 4810, 676, 9252, 21525, 582, 1161, 2429, 741, 588, 528, 1221, 6228, 269, 20472, 539, 538, 476, 3707, 276, 676, 7335, 781, 1378, 6300, 4229, 267, 713, 23773, 2599, 6170, 5756, 21986, 532, 27726, 14099, 1247, 688, 30389, 605, 323, 16406, 9424, 540, 16320, 2350, 924, 5755, 269, 2991, 1373, 19622, 538, 476, 4198, 278, 267, 621, 10150, 17105, 21239, 607, 519, 17514, 1222, 16007, 1282, 519, 11635, 21696, 681, 3711, 956, 543, 7766, 10178, 15143, 269, 11374, 1896, 5756, 540, 18959, 3599, 267, 519, 7335, 267, 9791, 13738, 1299, 8832, 10924, 8169, 617, 2103, 1222, 540, 476, 13975, 273, 267, 25054, 593, 606, 16529, 11808, 1788, 602, 19411, 730, 538, 922, 32219, 2132, 547, 3028, 538, 476, 1708, 273, 780, 6962, 912, 7437, 519, 6514, 540, 7335, 476, 13975, 273, 543, 922, 10252, 267, 1053, 666, 5660, 519, 6946, 13795, 18955, 676, 16456, 1686, 269, 3245, 18803, 20297, 547, 22184, 531, 10841, 3290, 267, 9252, 21525, 582, 1161, 28724, 4601, 8032, 938, 1158, 267, 6028, 3297, 11972, 23543, 17709, 540, 11812, 543, 862, 655, 2610, 269, 5047, 267, 4207, 2486, 5170, 547, 20920, 609, 2152, 540, 6940, 267, 5647, 267, 543, 3356, 1765, 29442, 525, 703, 2954, 23091, 609, 519, 1650, 540, 9252, 1379, 269, 4475, 267, 4974, 713, 9159, 3184, 3091, 3407, 4030, 10858, 547, 2413, 11407, 543, 18129, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13775, 281, 5239, 476, 3066, 267, 476, 1708, 274, 454, 3528, 281, 14088, 31293, 454, 20091, 476, 13975, 273, 568, 513, 476, 275, 268, 279, 268, 275, 1826, 9252, 21525, 12067, 602, 15866, 6410, 16320, 2350, 924, 5755, 936, 519, 7335, 1062, 2394, 922, 476, 4198, 278, 16468, 563, 763, 2599, 2968, 4583, 585, 3056, 519, 2754, 781, 2442, 834, 27860, 21696, 681, 3711, 956, 257, 1282, 519, 2038, 476, 3422, 271, 338, 267, 543, 4797, 12212, 17444, 2027, 10178, 15143, 1282, 519, 476, 3192, 271, 338, 267, 476, 2735, 271, 338, 267, 543, 2038, 476, 1960, 271, 338, 563, 13975, 273, 729, 3710, 676, 7335, 781, 1378, 6300, 4229, 538, 476, 3707, 276, 689, 476, 273, 268, 279, 268, 271, 3117, 13521, 725, 543, 851, 540, 922, 1134, 8153, 834, 307, 268, 272, 257, 1362, 269, 4653, 267, 519, 21525, 12067, 568, 835, 540, 1614, 7335, 476, 13975, 271, 338, 602, 723, 1044, 12873, 267, 799, 849, 2882, 476, 13975, 272, 543, 476, 18891, 275, 563, 24375, 940, 538, 476, 1001, 277, 519, 7335, 267, 9791, 13738, 1299, 8832, 267, 513, 3811, 6237, 26708, 1899, 538, 12425, 267, 3459, 11808, 3646, 593, 476, 13975, 273, 585, 922, 1378, 2442, 32751, 542, 1982, 563, 16729, 3670, 1296, 540, 936, 3873, 592, 267, 799, 3576, 1747, 693, 519, 2754, 781, 15945, 538, 5800, 22735, 267, 12425, 267, 519, 2462, 8832, 729, 8120, 547, 3742, 3028, 538, 4989, 267, 476, 1708, 273, 563, 3528, 519, 3735, 476, 4572, 271, 338, 267, 519, 7335, 2226, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 841, 5802, 3778, 257, 607, 851, 540, 834, 16300, 13493, 1315, 18815, 1315, 21805, 338, 1299, 3004, 1231, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 991, 547, 4383, 741, 18083, 20617, 269, 1717, 267, 3079, 540, 6998, 741, 3237, 585, 513, 10211, 267, 789, 949, 3390, 7554, 610, 13632, 547, 9520, 5461, 538, 5885, 741, 2208, 269, 645, 4637, 616, 9247, 594, 5495, 338, 1141, 519, 2754, 14767, 547, 23231, 519, 2179, 22666, 7132, 1719, 936, 942, 269, 853, 4169, 2099, 9562, 8843, 538, 519, 2754, 267, 3850, 9520, 547, 4324, 20019, 952, 519, 2754, 1281, 1134, 269, 1635, 1210, 891, 2409, 267, 22500, 2880, 9373, 1440, 2478, 666, 1569, 3677, 18304, 540, 2724, 2877, 585, 7269, 3785, 267, 1382, 543, 1646, 267, 6725, 11044, 267, 543, 824, 2462, 9541, 780, 3719, 7227, 1765, 6011, 1281, 513, 2754, 917, 2436, 29307, 7554, 610, 13632, 568, 519, 1318, 3903, 286, 2107, 5310, 789, 1058, 2015, 2921, 856, 513, 4871, 10211, 3079, 286, 2334, 781, 1141, 2883, 2079, 2501, 883, 1404, 269, 7577, 3401, 1590, 4983, 1585, 2188, 971, 607, 1699, 2344, 2175, 267, 1761, 4220, 267, 543, 7024, 1354, 14045, 593, 519, 1034, 5078, 14104, 4640, 269, 1358, 1419, 5077, 609, 4966, 899, 12540, 541, 7534, 918, 269, 667, 559, 2917, 267, 7247, 649, 5018, 4505, 269, 2060, 1200, 3573, 4282, 538, 9746, 8804, 267, 15516, 269, 667, 559, 2917, 2337, 3391, 4213, 998, 1950, 2883, 3664, 267, 4180, 6617, 543, 1967, 780, 1103, 5758, 267, 9746, 8804, 4249, 513, 2565, 1909, 538, 1022, 14762, 13055, 269, 3245, 1507, 21097, 6763, 547, 7372, 14078, 899, 22500, 2880, 9373, 1440, 2478, 267, 1620, 875, 547, 3927, 4383, 2724, 5036, 519, 5748, 585, 1279, 3856, 13884, 269, 1306, 14971, 11639, 267, 6616, 519, 9238, 540, 9746, 8804, 16877, 596, 547, 2490, 9909, 883, 4641, 543, 1628, 4264, 267, 19311, 26136, 269, 4258, 619, 547, 602, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 32317, 540, 6034, 832, 454, 300, 1173, 541, 7534, 918, 269, 667, 559, 2917, 267, 17348, 454, 16039, 269, 667, 559, 2917, 568, 513, 22639, 267, 1991, 547, 799, 1352, 729, 519, 21470, 5518, 267, 12751, 11038, 20229, 267, 543, 513, 10615, 540, 589, 4306, 4629, 299, 2562, 298, 4139, 20941, 689, 476, 1960, 279, 547, 476, 1220, 275, 267, 513, 10615, 540, 15613, 1299, 23654, 4886, 543, 7066, 5501, 337, 540, 21850, 30600, 2969, 689, 476, 1960, 273, 547, 476, 1960, 279, 543, 7066, 5501, 337, 267, 2910, 5960, 2969, 15278, 267, 689, 476, 2735, 278, 547, 476, 1960, 273, 563, 9515, 12236, 513, 25328, 540, 8551, 4110, 689, 26658, 2160, 267, 513, 9457, 540, 8551, 689, 12052, 2160, 267, 543, 513, 9457, 540, 6355, 10029, 689, 1733, 691, 517, 23958, 3427, 267, 2160, 540, 12425, 563, 16039, 269, 667, 559, 2917, 568, 519, 17348, 540, 519, 8274, 540, 6034, 832, 540, 8863, 6052, 6828, 267, 5549, 269, 543, 540, 6239, 23747, 13937, 1299, 11272, 15278, 282, 1352, 5713, 593, 519, 10748, 527, 1299, 11485, 9730, 543, 519, 26291, 1299, 5274, 8249, 9730, 269, 2701, 568, 849, 513, 4759, 540, 519, 8274, 540, 6034, 832, 540, 10783, 529, 5549, 563, 16039, 269, 667, 559, 2917, 814, 1044, 513, 10615, 2094, 476, 1220, 275, 563, 10481, 32015, 700, 269, 4858, 1188, 9116, 454, 16031, 269, 4858, 1188, 9116, 568, 519, 15445, 21470, 5518, 267, 12751, 15613, 543, 16743, 20229, 693, 3057, 626, 5441, 267, 694, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 2734, 622, 16010, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16010, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 9147, 4975, 21178, 919, 910, 634, 22547, 540, 5295, 995, 20079, 692, 7476, 4712, 547, 3460, 1394, 538, 942, 543, 3605, 519, 4241, 1158, 540, 3504, 2749, 32145, 269, 1452, 941, 3532, 4872, 602, 12199, 2933, 10446, 543, 1185, 741, 2189, 4529, 267, 5389, 267, 543, 2081, 540, 1272, 269, 2913, 781, 2263, 930, 4583, 3504, 2749, 32145, 1927, 2439, 8893, 476, 272, 281, 1548, 3657, 4975, 21178, 919, 888, 29432, 288, 2749, 15581, 568, 899, 513, 2462, 267, 1271, 2749, 609, 922, 2229, 267, 7952, 267, 543, 8513, 269, 5994, 952, 1715, 3840, 4975, 729, 922, 2197, 1107, 602, 779, 2186, 540, 1018, 513, 2749, 15581, 568, 899, 256, 18603, 543, 1975, 21840, 941, 1312, 2749, 32145, 538, 3504, 10255, 269, 1358, 1142, 1185, 741, 3652, 267, 4031, 267, 543, 1256, 10692, 1996, 835, 1776, 3006, 780, 8893, 476, 273, 281, 25587, 9147, 4975, 21178, 919, 454, 5785, 21387, 2162, 18603, 630, 26123, 10255, 2020, 288, 1492, 985, 729, 1634, 607, 519, 968, 18662, 540, 18774, 553, 892, 2094, 621, 12595, 2069, 543, 6575, 3810, 269, 4706, 1004, 11827, 9111, 267, 1141, 3025, 1223, 8917, 593, 3664, 269, 11096, 14279, 899, 24198, 267, 18573, 267, 543, 17127, 5030, 1934, 543, 8032, 938, 1620, 540, 7326, 543, 7954, 780, 2162, 7507, 630, 26123, 7977, 2020, 305, 727, 3323, 607, 513, 1507, 8498, 855, 8057, 883, 513, 5318, 10504, 15194, 1454, 540, 2342, 267, 5607, 267, 543, 4000, 269, 14564, 3710, 9897, 267, 6864, 9254, 551, 338, 267, 543, 5749, 553, 602, 1869, 1796, 2221, 256, 4256, 10340, 4547, 721, 2035, 899, 1876, 9479, 543, 519, 11706, 649, 946, 19951, 780, 2162, 14210, 5255, 339, 527, 17427, 630, 288, 345, 974, 322, 7276, 2020, 307, 523, 5255, 339, 527, 17427, 729, 519, 3854, 2749, 540, 519, 25069, 14369, 4092, 538, 2413, 6792, 269, 29740, 593, 513, 10720, 267, 4961, 1031, 16996, 607, 10754, 256, 1358, 2919, 4359, 6683, 1210, 5841, 10195, 1572, 24060, 2086, 553, 269, 1656, 7058, 1018, 286, 28688, 12090, 1934, 1932, 2439, 8893, 476, 274, 281, 8490, 3776, 13574, 4975, 268, 13750, 454, 5785, 19030, 3086, 602, 596, 917, 827, 1483, 3504, 2749, 32145, 267, 1577, 781, 1628, 938, 1378, 256, 6056, 827, 1614, 1898, 1919, 1384, 272, 269, 2878, 22117, 11429, 4995, 1215, 1131, 707, 2749, 15581, 1827, 3294, 286, 1635, 9111, 899, 18603, 610, 676, 900, 30752, 899, 7507, 888, 273, 269, 2878, 290, 11857, 4995, 6904, 9821, 267, 15976, 267, 5026, 267, 610, 1148, 3029, 1131, 2099, 707, 2749, 15581, 888, 274, 269, 2878, 19425, 3538, 675, 1299, 7177, 4995, 5071, 11599, 3889, 10452, 707, 2486, 781, 2418, 543, 2115, 269, 14348, 972, 581, 6990, 267, 17633, 267, 16822, 30965, 11596, 267, 3092, 269, 2496, 3528, 3695, 891, 3584, 267, 596, 2811, 8026, 3140, 3206, 1247, 2348, 1187, 31935, 1945, 1007, 269, 5457, 267, 1686, 3884, 1405, 1175, 7389, 543, 4408, 282, 621, 781, 2984, 540, 1004, 2713, 741, 2729, 1279, 3516, 269, 3414, 4974, 1686, 267, 649, 1451, 811, 827, 6000, 543, 519, 1158, 1472, 721, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 10082, 2852, 1557, 1806, 585, 476, 1556, 3506, 1341, 4274, 2079, 563, 31955, 23670, 3827, 2073, 5441, 10749, 454, 763, 2123, 3948, 1522, 1175, 581, 519, 23698, 851, 540, 707, 2852, 3498, 269, 4107, 569, 713, 568, 1317, 621, 814, 519, 2547, 5583, 543, 568, 519, 1034, 1930, 25804, 269, 2290, 1259, 547, 1174, 1018, 12621, 616, 3168, 585, 950, 789, 2307, 596, 547, 2328, 606, 1557, 568, 547, 2638, 856, 519, 3594, 540, 1053, 945, 2907, 3893, 538, 1765, 3712, 5076, 3594, 602, 2965, 5249, 269, 2991, 782, 267, 789, 1590, 581, 1851, 519, 1034, 3811, 540, 713, 20868, 5339, 9135, 563, 1103, 713, 2376, 267, 594, 3513, 979, 998, 2489, 4808, 585, 1018, 2306, 1390, 2852, 3594, 1390, 269, 594, 4312, 849, 16432, 606, 11999, 1592, 540, 476, 1911, 266, 4890, 3732, 2852, 3594, 689, 476, 1556, 1114, 3506, 269, 7053, 267, 594, 3513, 2736, 1524, 1079, 540, 891, 3370, 2852, 1557, 1806, 543, 2491, 1946, 543, 875, 789, 960, 269, 2060, 6402, 547, 476, 10082, 2407, 3594, 543, 1557, 32461, 2073, 713, 2376, 786, 581, 513, 1390, 4199, 585, 1565, 875, 547, 4739, 707, 1378, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3778, 1315, 9147, 1315, 9147, 4975, 21178, 919, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1007, 6508, 2597, 540, 519, 3312, 3409, 454, 825, 1820, 834, 14611, 28787, 781, 14216, 1882, 13379, 281, 4939, 338, 257, 4939, 630, 322, 10947, 318, 7076, 19572, 12467, 825, 1948, 2652, 285, 476, 275, 270, 278, 454, 0, 18411, 2237, 513, 1982, 799, 3097, 23100, 338, 513, 5569, 607, 3403, 3097, 1729, 1820, 834, 8133, 257, 952, 519, 5569, 568, 834, 13433, 257, 610, 834, 312, 2464, 257, 610, 834, 8133, 2580, 3097, 1278, 3772, 1820, 834, 5591, 8487, 18257, 692, 338, 815, 3403, 2891, 11767, 1022, 2262, 281, 19515, 2745, 4433, 269, 5115, 1388, 1125, 28829, 0, 18411, 9223, 281, 16294, 513, 1362, 799, 814, 693, 2547, 1079, 2409, 281, 3097, 1326, 21803, 281, 547, 1205, 513, 5569, 689, 23641, 3403, 3097, 2745, 21803, 281, 547, 1820, 519, 5569, 538, 5580, 2013, 269, 3097, 9827, 5225, 1331, 2241, 1449, 1599, 547, 1449, 519, 1362, 2409, 563, 18257, 692, 5035, 28294, 3634, 21803, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4732, 815, 1412, 338, 28847, 825, 1219, 1205, 21803, 4311, 2187, 1038, 1582, 4732, 815, 3403, 2891, 11767, 513, 5569, 281, 834, 2020, 825, 1219, 1820, 21803, 4311, 2187, 1038, 1820, 4311, 4732, 269, 21639, 31156, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 588, 11917, 329, 815, 28294, 3634, 21803, 4590, 825, 588, 11917, 329, 10947, 21803, 4590, 825, 588, 11917, 329, 31428, 21803, 4590, 0, 18411, 31711, 513, 1599, 602, 666, 3398, 1079, 12673, 607, 3403, 3097, 663, 6677, 22760, 622, 873, 543, 1287, 1820, 621, 538, 23641, 563, 18257, 692, 3698, 6677, 22760, 622, 4433, 272, 267, 521, 273, 2187, 825, 2132, 535, 262, 346, 338, 272, 2410, 338, 273, 348, 28847, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 521, 272, 29679, 273, 815, 1592, 9852, 777, 19304, 267, 3403, 2891, 11767, 1079, 12673, 694, 704, 730, 676, 26893, 281, 834, 1040, 20889, 263, 12887, 21875, 825, 1820, 263, 935, 13906, 523, 622, 4433, 272, 267, 521, 273, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3231, 2740, 1007, 1983, 286, 5410, 873, 538, 269, 1879, 707, 16056, 568, 8242, 593, 513, 2834, 4493, 267, 596, 2461, 4712, 547, 533, 8784, 950, 4316, 6799, 3294, 269, 1656, 267, 1256, 952, 596, 2461, 711, 2816, 10478, 267, 972, 616, 7899, 540, 1434, 4128, 547, 1832, 713, 3561, 538, 9133, 31795, 3337, 563, 20124, 21806, 540, 15552, 16103, 1315, 5192, 1399, 16103, 1547, 8210, 514, 5682, 1177, 12245, 568, 2079, 29817, 656, 267, 513, 28479, 766, 5856, 267, 9375, 267, 543, 1543, 2054, 626, 945, 568, 13730, 827, 6173, 908, 519, 3044, 540, 2565, 267, 1603, 593, 2376, 2079, 29817, 656, 3427, 267, 519, 1357, 269, 8210, 514, 5892, 5280, 1628, 634, 631, 2224, 779, 11537, 3232, 8313, 543, 2565, 5441, 3366, 519, 2376, 2079, 10830, 3427, 267, 2754, 779, 6216, 539, 1543, 2319, 269, 1403, 596, 2461, 606, 1367, 610, 2754, 3168, 585, 948, 1818, 707, 1543, 1732, 29932, 596, 1175, 1616, 547, 979, 856, 547, 7401, 1765, 1326, 538, 5905, 693, 476, 1359, 2240, 1177, 12245, 2593, 269, 670, 7825, 332, 267, 4667, 596, 258, 4375, 282, 557, 2907, 9896, 909, 585, 713, 1362, 269, 2755, 596, 258, 4375, 282, 516, 1934, 267, 596, 949, 607, 1134, 2638, 856, 782, 519, 5863, 3549, 602, 616, 17849, 899, 21173, 1318, 1631, 563, 2237, 3733, 10749, 4653, 20620, 763, 834, 278, 27834, 10341, 257, 910, 11879, 15154, 543, 9046, 14572, 454, 7078, 4828, 769, 22105, 11530, 10749, 543, 3194, 14430, 269, 12726, 20389, 10749, 2443, 10000, 19171, 12989, 568, 938, 3732, 1557, 2243, 267, 799, 568, 2966, 547, 581, 607, 2673, 607, 2009, 547, 606, 1547, 1557, 2243, 602, 1522, 2408, 593, 519, 20389, 269, 1411, 3580, 5431, 602, 621, 779, 1759, 593, 519, 1390, 14544, 15584, 623, 9934, 639, 779, 25195, 267, 968, 2467, 779, 1100, 1967, 899, 5821, 2223, 799, 649, 723, 5219, 547, 2565, 2429, 713, 3184, 269, 901, 1880, 1557, 1888, 6799, 596, 609, 513, 1360, 3376, 2856, 543, 1287, 12134, 596, 547, 2491, 707, 2070, 543, 1394, 621, 909, 609, 6405, 1806, 1547, 3502, 1169, 20389, 1557, 1888, 786, 269, 29961, 10687, 19389, 2073, 4828, 2073, 10749, 476, 13301, 276, 9293, 1923, 476, 278, 9664, 269, 12726, 4828, 3367, 713, 1383, 3732, 1557, 1547, 2296, 2986, 3162, 286, 3973, 2626, 519, 2055, 2630, 269, 634, 7907, 540, 513, 5869, 1547, 1331, 1582, 16531, 267, 2348, 519, 6667, 547, 17024, 15593, 573, 534, 581, 513, 13653, 543, 1373, 29752, 563, 4415, 891, 7907, 538, 2247, 267, 621, 568, 2653, 547, 1294, 1946, 1082, 2506, 597, 15384, 1294, 2701, 16554, 2098, 26359, 607, 513, 5869, 269, 1261, 22993, 519, 1614, 7907, 5018, 1657, 543, 891, 24123, 7907, 941, 2938, 538, 1010, 1272, 543, 2079, 29817, 656, 3427, 267, 960, 269, 1261, 729, 4535, 538, 1325, 589, 514, 543, 1185, 513, 2241, 2069, 799, 3769, 1565, 519, 31704, 534, 543, 6128, 269, 6056, 619, 5441, 286, 3571, 269, 26512, 667, 4725, 328, 2073, 1325, 589, 514, 2073, 15552, 476, 14530, 274, 9293, 1923, 476, 275, 9664, 269, 2085, 540, 7269, 1739, 593, 606, 2085, 540, 6602, 267, 922, 7269, 3366, 547, 1869, 2417, 6602, 827, 11265, 1374, 543, 23732, 269, 8791, 589, 281, 1547, 3955, 12542, 590, 8160, 7559, 667, 7578, 6428, 1393, 630, 14321, 272, 268, 12739, 273, 264, 634, 9703, 540, 590, 8160, 7559, 667, 7578, 6428, 1393, 568, 513, 1360, 1434, 1383, 540, 2228, 17664, 3427, 25724, 15339, 543, 1374, 269, 6056, 619, 5441, 286, 898, 10525, 519, 25724, 9759, 538, 513, 1259, 855, 568, 711, 4625, 936, 15022, 3512, 539, 6862, 1281, 621, 2270, 1022, 5667, 340, 3386, 3877, 269, 3057, 1076, 568, 5631, 1031, 538, 4661, 267, 519, 9587, 543, 519, 3490, 5526, 547, 581, 575, 843, 539, 538, 19730, 269, 11879, 6056, 619, 5441, 286, 31493, 696, 999, 563, 289, 16619, 4302, 2073, 25724, 2575, 2073, 667, 727, 476, 14695, 275, 9293, 1923, 476, 275, 9664, 269, 6201, 689, 14506, 10749, 2598, 9918, 17607, 968, 763, 1382, 594, 1705, 713, 4832, 5059, 593, 22408, 1632, 540, 524, 10901, 543, 23045, 326, 1470, 8053, 3228, 267, 1547, 1193, 2632, 1756, 676, 11934, 269, 1452, 1079, 6464, 616, 4122, 1336, 538, 3114, 17694, 2507, 3733, 1382, 849, 5059, 593, 519, 3892, 11664, 799, 568, 513, 6482, 540, 875, 1454, 540, 513, 19857, 568, 1496, 25388, 5523, 316, 676, 513, 27230, 5420, 1848, 968, 296, 1336, 602, 1082, 540, 519, 13220, 594, 3357, 2066, 3823, 16377, 8604, 547, 2565, 17024, 5441, 6655, 513, 2178, 3661, 538, 1480, 2924, 267, 799, 729, 7152, 676, 519, 27524, 30315, 269, 2806, 10407, 2073, 11162, 4826, 2920, 2073, 5274, 2924, 476, 15150, 274, 9293, 1923, 476, 276, 9664, 269, 7151, 4828, 968, 3891, 602, 568, 1434, 585, 1818, 2300, 4926, 568, 25864, 1434, 585, 4376, 3116, 1848, 4534, 5484, 15284, 269, 1306, 2038, 607, 519, 1547, 6732, 3427, 286, 15713, 540, 519, 2136, 2276, 540, 2565, 15593, 573, 534, 3013, 267, 6004, 269, 21261, 5899, 987, 718, 534, 5441, 286, 15284, 4767, 2486, 1210, 519, 28195, 267, 594, 1810, 1405, 723, 2614, 942, 2507, 543, 621, 2942, 2360, 593, 741, 2729, 269, 4653, 267, 621, 568, 4749, 1031, 607, 606, 28195, 547, 17854, 519, 3668, 540, 942, 2359, 1983, 269, 6056, 619, 15593, 573, 534, 286, 634, 2360, 593, 3214, 267, 960, 267, 610, 1256, 538, 1920, 1272, 616, 3006, 14042, 563, 1103, 513, 1554, 972, 616, 476, 2190, 3108, 267, 543, 942, 568, 2139, 269, 18148, 15284, 2073, 7731, 2073, 15284, 4643, 1676, 476, 31405, 9293, 1923, 476, 274, 9664, 269, 2856, 540, 15293, 338, 568, 1357, 6030, 2228, 267, 2484, 1932, 27105, 547, 15593, 573, 534, 5441, 581, 1483, 269, 2296, 6092, 1740, 286, 4340, 547, 6530, 323, 5315, 3820, 519, 31510, 5436, 568, 968, 9188, 793, 908, 1022, 7613, 16030, 519, 2565, 15593, 573, 534, 5441, 267, 1547, 4483, 540, 1239, 610, 1648, 799, 666, 1405, 581, 4330, 676, 1459, 3621, 4030, 892, 12462, 1432, 26158, 1280, 1383, 2073, 513, 7008, 540, 1296, 3516, 594, 729, 538, 547, 8551, 25816, 26937, 1926, 267, 1250, 2777, 4805, 269, 594, 729, 6972, 2509, 519, 15593, 573, 534, 5441, 267, 4395, 7450, 543, 513, 6292, 540, 2228, 17664, 23805, 8593, 689, 519, 4831, 9008, 543, 593, 547, 519, 6989, 563, 2005, 18901, 803, 547, 15593, 573, 534, 2669, 543, 621, 729, 899, 519, 23805, 1185, 1044, 16207, 269, 594, 798, 711, 917, 952, 621, 729, 269, 15303, 573, 2073, 26415, 2073, 700, 5255, 715, 612, 30947, 476, 15171, 271, 9293, 1923, 476, 276, 9664, 269, 3190, 596, 909, 585, 1272, 269, 11819, 4460, 532, 286, 4475, 891, 2833, 786, 1831, 513, 2556, 1383, 547, 4001, 596, 875, 547, 2565, 17024, 5441, 4308, 609, 519, 15490, 1145, 1547, 538, 3427, 267, 1272, 269, 1879, 594, 1101, 3323, 1647, 1153, 594, 5433, 865, 856, 540, 1747, 267, 594, 1611, 594, 1185, 547, 4308, 930, 1360, 1166, 21294, 1004, 543, 594, 729, 1360, 14129, 856, 513, 2603, 269, 634, 2601, 1946, 594, 729, 865, 14129, 856, 17024, 267, 729, 1317, 540, 519, 2228, 3427, 267, 2242, 602, 594, 1185, 547, 22036, 1472, 543, 547, 803, 269, 11879, 6056, 619, 5441, 286, 1280, 1383, 594, 1185, 547, 4308, 609, 519, 23892, 1249, 602, 594, 729, 3395, 4552, 538, 4116, 16287, 8053, 3228, 267, 1585, 4025, 593, 2565, 15593, 573, 534, 1250, 269, 5441, 2073, 2296, 25082, 8874, 2073, 4400, 1153, 476, 12208, 279, 9293, 1923, 476, 274, 9664, 269, 7790, 11990, 1684, 324, 7905, 32617, 17010, 661, 10998, 476, 8099, 272, 476, 1321, 281, 876, 268, 272, 281, 2004, 476, 2641, 5239, 476, 1001, 274, 4828, 476, 272, 11557, 7081, 281, 634, 476, 4198, 271, 779, 547, 4653, 11557, 7081, 267, 899, 1082, 824, 1547, 1919, 538, 938, 1158, 267, 568, 606, 2479, 4657, 3364, 563, 763, 2093, 543, 25664, 725, 4478, 621, 1689, 689, 1357, 6030, 2228, 17664, 3427, 267, 5108, 547, 5108, 269, 5221, 540, 713, 267, 519, 2856, 540, 3023, 538, 17024, 15593, 573, 534, 267, 519, 476, 4198, 271, 779, 568, 4625, 1114, 689, 519, 16287, 23045, 326, 1470, 267, 2856, 540, 3023, 2221, 269, 4653, 267, 14920, 666, 581, 6829, 538, 3592, 4376, 649, 798, 269, 20497, 338, 267, 3915, 15236, 267, 7641, 2982, 267, 9413, 267, 12139, 4930, 267, 543, 1082, 824, 269, 476, 736, 628, 2540, 2073, 476, 2641, 560, 2540, 2073, 6820, 8337, 476, 8099, 276, 9293, 1923, 476, 275, 9664, 269, 824, 2127, 264, 1397, 1808, 26715, 543, 6198, 2934, 538, 3318, 543, 10859, 3491, 32216, 12372, 1848, 2290, 540, 519, 1034, 7298, 1547, 11879, 6056, 619, 15593, 573, 534, 5441, 286, 2640, 540, 4730, 513, 7574, 6293, 568, 519, 6454, 540, 3965, 4390, 543, 2702, 269, 1280, 1383, 2073, 519, 3586, 946, 540, 1312, 519, 2451, 543, 1318, 8280, 7371, 12742, 540, 519, 2634, 8195, 538, 2576, 945, 4249, 519, 14440, 5751, 3965, 269, 8729, 547, 713, 267, 621, 568, 849, 5156, 602, 1004, 945, 1404, 7574, 7405, 616, 1447, 12155, 547, 1557, 10830, 7615, 5899, 987, 718, 534, 723, 31895, 17654, 269, 11020, 2073, 11106, 2073, 11106, 23479, 476, 280, 5379, 9293, 1923, 476, 274, 9664, 563, 1993, 519, 3018, 950, 8891, 324, 11392, 2462, 6928, 906, 540, 11891, 585, 519, 4558, 269, 1879, 602, 4386, 519, 2565, 17024, 15593, 573, 534, 267, 10685, 851, 540, 519, 12567, 4741, 666, 581, 2731, 11112, 585, 7005, 540, 3162, 5245, 630, 301, 822, 26320, 264, 513, 1906, 1547, 2395, 1310, 6006, 532, 519, 17024, 15593, 573, 534, 5441, 267, 1007, 11891, 269, 22802, 666, 2039, 689, 513, 3099, 540, 547, 8551, 630, 288, 18510, 264, 1919, 267, 585, 1383, 6902, 4677, 7725, 538, 1028, 9285, 4224, 533, 24548, 267, 22890, 11435, 15044, 856, 676, 1826, 267, 18720, 536, 2297, 30528, 267, 543, 1256, 6177, 31725, 269, 1924, 607, 835, 540, 519, 2565, 5441, 267, 1614, 9946, 267, 8891, 324, 814, 547, 1118, 2386, 1919, 979, 1134, 543, 3688, 616, 5116, 7157, 543, 28426, 2429, 519, 4558, 267, 538, 269, 16316, 2030, 2073, 17451, 13582, 2073, 12567, 476, 9340, 276, 9293, 1923, 476, 274, 9664, 269, 540, 1557, 7041, 1548, 21630, 2362, 2298, 1383, 3594, 689, 17664, 267, 2539, 2298, 1383, 1547, 3594, 7790, 1703, 941, 1896, 1114, 3344, 602, 21630, 2362, 2298, 1383, 1557, 689, 2539, 2298, 1383, 3594, 1547, 17616, 267, 519, 2362, 2298, 1383, 3594, 2073, 971, 607, 519, 15593, 573, 534, 267, 5940, 8012, 543, 4661, 1557, 10830, 7615, 5441, 267, 4400, 5940, 8012, 3594, 3177, 1390, 2497, 543, 2565, 15593, 573, 534, 5441, 267, 606, 4661, 609, 513, 1360, 1434, 6881, 269, 11819, 23045, 326, 1470, 286, 634, 4367, 538, 519, 5940, 8012, 1557, 5189, 4143, 3332, 543, 9619, 519, 1557, 1888, 269, 27375, 2073, 4828, 2073, 10749, 476, 278, 8618, 9293, 1923, 476, 274, 9664, 563, 7078, 540, 513, 4270, 13419, 3293, 4828, 269, 7151, 540, 5441, 513, 1134, 11295, 1557, 1547, 2296, 6092, 1740, 630, 301, 822, 26320, 21663, 634, 1543, 3884, 1406, 602, 608, 1746, 543, 2565, 15593, 573, 534, 267, 519, 3932, 568, 3833, 4617, 267, 855, 972, 616, 1082, 1434, 1547, 6092, 1740, 634, 2160, 286, 2798, 547, 1118, 593, 519, 1259, 519, 1557, 568, 11295, 543, 519, 1259, 519, 5441, 267, 1344, 568, 2322, 2066, 269, 2353, 1250, 8292, 616, 12006, 3976, 269, 589, 1434, 4367, 269, 3040, 6496, 519, 2816, 540, 5693, 10747, 519, 585, 1557, 1603, 29883, 808, 21628, 5004, 5441, 267, 1888, 4988, 538, 519, 1557, 543, 17024, 5441, 267, 519, 1808, 3344, 799, 786, 581, 5941, 269, 6423, 538, 1880, 2063, 4845, 540, 4367, 269, 5680, 20043, 6732, 17664, 3427, 286, 630, 1284, 786, 581, 3168, 693, 519, 2497, 540, 31047, 269, 6970, 639, 1275, 2073, 7025, 1143, 2073, 4828, 476, 5611, 272, 9293, 1923, 476, 276, 9664, 269, 9502, 2986, 14886, 1222, 7151, 4828, 269, 540, 11505, 563, 13706, 519, 2565, 267, 3483, 267, 5304, 267, 543, 2796, 540, 707, 2376, 269, 5029, 1125, 707, 2093, 543, 3877, 3927, 269, 3417, 1808, 3877, 602, 1547, 5693, 1020, 707, 2376, 269, 22478, 707, 4633, 585, 4661, 3044, 8239, 543, 2565, 5441, 267, 1893, 6165, 269, 4460, 532, 23045, 326, 1470, 8053, 3228, 286, 7151, 4828, 593, 519, 9502, 540, 14886, 1222, 1403, 4280, 267, 1082, 1004, 1131, 2161, 602, 741, 2828, 616, 930, 540, 519, 1034, 1271, 1004, 538, 741, 2729, 563, 4913, 267, 3006, 621, 568, 2182, 547, 5431, 519, 1871, 540, 513, 3659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 621, 10363, 547, 18009, 2724, 538, 519, 2475, 888, 289, 9506, 2724, 568, 10363, 538, 519, 2136, 2276, 543, 568, 19439, 762, 676, 909, 547, 476, 1015, 1296, 538, 7890, 267, 711, 547, 2446, 22717, 563, 2005, 779, 849, 10363, 547, 15237, 513, 13362, 3915, 543, 1256, 24609, 513, 29784, 896, 519, 2597, 540, 513, 21525, 12067, 593, 519, 16456, 13475, 563, 12663, 519, 4871, 5372, 678, 5792, 2724, 888, 289, 3471, 666, 5385, 930, 22600, 1194, 2724, 585, 5561, 269, 15380, 267, 21354, 3037, 539, 267, 18660, 267, 1219, 3166, 267, 30477, 3603, 543, 14324, 12014, 666, 581, 22121, 998, 707, 2199, 4871, 952, 811, 982, 3368, 540, 519, 3312, 4063, 3788, 269, 1452, 4967, 1131, 581, 22121, 998, 707, 4871, 543, 9268, 676, 519, 8549, 15944, 7813, 563, 12663, 8637, 3398, 513, 678, 5792, 3915, 888, 288, 678, 5792, 3915, 3884, 1406, 513, 1106, 540, 7130, 269, 589, 4558, 3085, 1406, 968, 17647, 892, 547, 3398, 1022, 3915, 269, 3509, 8637, 798, 711, 3398, 1269, 2004, 338, 543, 1269, 1911, 338, 267, 543, 713, 568, 9985, 3656, 269, 1403, 513, 4558, 7947, 338, 707, 7148, 539, 1927, 3915, 267, 2285, 873, 835, 602, 3884, 1406, 7148, 539, 267, 610, 1491, 707, 1870, 11992, 563, 3674, 3368, 513, 13362, 3915, 4502, 4376, 888, 288, 14324, 3915, 9967, 540, 811, 982, 1614, 1922, 604, 2195, 540, 519, 4063, 568, 4502, 2407, 1871, 269, 589, 3915, 568, 4502, 3368, 952, 1063, 476, 2412, 260, 543, 476, 2568, 260, 540, 519, 3915, 3788, 16856, 269, 898, 568, 4502, 4986, 952, 1447, 982, 713, 3788, 16856, 563, 3674, 5969, 30779, 625, 10363, 888, 6097, 547, 7170, 476, 1240, 267, 772, 269, 590, 269, 595, 269, 3296, 476, 28664, 267, 621, 568, 10363, 547, 968, 325, 571, 644, 592, 1836, 7369, 267, 1219, 864, 267, 4573, 30968, 267, 10556, 267, 27298, 267, 535, 1023, 1518, 267, 4336, 267, 610, 1769, 523, 1022, 540, 519, 11113, 22579, 693, 519, 544, 6493, 540, 519, 2136, 2276, 267, 610, 1022, 4914, 11113, 799, 616, 676, 1876, 1500, 1699, 610, 616, 538, 4890, 946, 610, 10009, 607, 2724, 1369, 519, 2136, 454, 6701, 476, 273, 13362, 12014, 1869, 9102, 888, 763, 1269, 273, 3915, 814, 711, 1044, 6569, 689, 10009, 543, 568, 1869, 513, 21883, 21000, 1588, 540, 2136, 2276, 1957, 9304, 269, 634, 8549, 15944, 3590, 1281, 711, 267, 2705, 267, 7662, 519, 8228, 540, 602, 21000, 1588, 607, 1419, 607, 519, 1866, 563, 9989, 513, 678, 5792, 2638, 1869, 960, 888, 265, 634, 1655, 2626, 827, 678, 5792, 11974, 568, 602, 621, 5673, 269, 570, 1901, 621, 1927, 543, 979, 547, 513, 6666, 1512, 538, 519, 4871, 269, 2608, 634, 4871, 949, 6430, 547, 7947, 513, 678, 5792, 610, 14324, 2638, 952, 519, 15040, 610, 519, 2179, 568, 14324, 269, 1403, 789, 2995, 596, 789, 786, 7947, 519, 2638, 1869, 979, 543, 3643, 873, 543, 31274, 789, 3398, 519, 2638, 563, 4692, 596, 6666, 513, 2638, 952, 621, 779, 678, 5792, 513, 2370, 888, 2252, 596, 723, 20240, 602, 707, 2638, 568, 4570, 267, 855, 596, 678, 5792, 621, 18417, 267, 596, 666, 1491, 621, 547, 707, 4871, 543, 2307, 519, 2995, 518, 952, 789, 666, 1184, 621, 269, 9861, 2111, 547, 6666, 513, 8697, 2638, 5673, 593, 519, 4871, 543, 519, 2783, 540, 519, 2638, 269, 0, 13202, 476, 4905, 267, 476, 1220, 271, 5788, 4985, 269, 27743, 13738, 19481, 8611, 630, 305, 5960, 293, 264, 568, 513, 8743, 25645, 2068, 3361, 676, 519, 29296, 24059, 25599, 11089, 807, 678, 1157, 11089, 4512, 269, 476, 272, 267, 476, 273, 27743, 13738, 19481, 8611, 814, 1279, 1044, 2808, 835, 540, 519, 1034, 4049, 8743, 25645, 678, 1157, 11089, 658, 5563, 267, 609, 840, 268, 656, 756, 8438, 2013, 19339, 1275, 3928, 4080, 607, 1164, 607, 476, 4792, 1700, 3199, 260, 538, 930, 2013, 3126, 476, 272, 1107, 476, 275, 282, 4186, 3637, 9193, 689, 476, 2735, 272, 547, 476, 1960, 279, 5116, 4429, 1607, 6360, 2680, 21951, 4786, 267, 18584, 4239, 269, 476, 274, 267, 476, 1001, 279, 267, 2982, 519, 6708, 543, 1826, 540, 1344, 6394, 676, 2475, 14899, 3289, 6331, 1235, 538, 3345, 543, 3162, 10491, 538, 519, 12687, 540, 8978, 14700, 4547, 593, 676, 23587, 23509, 563, 22139, 10491, 814, 922, 2671, 540, 16767, 267, 855, 1804, 267, 14124, 20381, 2621, 616, 1102, 7528, 550, 538, 938, 1533, 269, 1306, 596, 666, 1294, 689, 519, 13091, 4786, 267, 891, 20381, 2621, 22132, 538, 938, 1533, 543, 4478, 2829, 630, 14808, 269, 476, 2190, 1916, 22139, 10491, 966, 29448, 7851, 269, 966, 29448, 575, 1186, 6753, 543, 2127, 540, 1164, 1648, 543, 1134, 1373, 269, 3474, 534, 5436, 3905, 9634, 267, 7740, 540, 772, 23859, 2534, 563, 27852, 7392, 281, 630, 289, 8656, 267, 13993, 300, 267, 301, 4916, 32390, 3036, 264, 4429, 5278, 7851, 1296, 630, 2254, 782, 264, 723, 4872, 267, 16456, 338, 267, 623, 20166, 269, 6753, 267, 10034, 1222, 14592, 543, 824, 2934, 3730, 547, 519, 28048, 5444, 11530, 626, 538, 3345, 3013, 269, 16103, 616, 1063, 476, 4335, 330, 543, 476, 277, 19251, 865, 1450, 513, 1906, 8090, 547, 4452, 952, 596, 616, 1210, 513, 3866, 5346, 4276, 563, 24961, 547, 5227, 1055, 18566, 18845, 267, 543, 4155, 7552, 24738, 4534, 15882, 267, 20375, 267, 15805, 20637, 267, 12563, 1148, 267, 4620, 524, 655, 2678, 625, 563, 763, 3943, 543, 4095, 2782, 568, 10692, 1063, 4789, 543, 5333, 782, 2059, 519, 20281, 540, 3345, 3013, 269, 3345, 10491, 10136, 4196, 1312, 538, 3345, 10491, 543, 538, 824, 10125, 269, 476, 11260, 276, 634, 4095, 2551, 538, 9456, 3345, 10491, 568, 6059, 693, 1472, 476, 32579, 563, 2304, 10811, 539, 689, 18007, 534, 6019, 538, 476, 10082, 272, 267, 5080, 787, 814, 1044, 606, 1271, 10315, 547, 519, 1533, 540, 3345, 10491, 267, 609, 1880, 2543, 547, 25342, 2504, 543, 519, 8978, 29871, 26186, 603, 8058, 269, 634, 590, 19313, 941, 519, 3312, 7111, 4892, 547, 21078, 538, 1459, 6377, 5080, 787, 267, 543, 519, 4279, 654, 6782, 10003, 8118, 7810, 11175, 547, 519, 3148, 538, 519, 2038, 547, 4571, 32732, 7570, 2540, 269, 2290, 540, 3345, 10491, 779, 4429, 295, 1157, 800, 568, 513, 2749, 538, 595, 1092, 342, 9346, 6019, 267, 3345, 10491, 269, 670, 1157, 800, 814, 519, 476, 14341, 526, 4102, 4683, 1858, 538, 519, 2136, 2276, 269, 1306, 540, 519, 476, 1220, 271, 14829, 267, 519, 27062, 18926, 9351, 1185, 513, 2551, 540, 476, 30130, 267, 5952, 272, 267, 1818, 621, 519, 476, 275, 628, 4102, 23195, 1858, 538, 3345, 10491, 269, 634, 2749, 781, 2551, 729, 476, 4391, 267, 19442, 693, 519, 476, 1220, 271, 14829, 269, 0, 1432, 616, 519, 1696, 5735, 543, 519, 1981, 2188, 540, 26901, 531, 4713, 888, 288, 9317, 531, 4713, 666, 581, 10511, 18469, 676, 3207, 22975, 630, 6518, 3123, 2799, 543, 4514, 590, 16703, 1070, 676, 1978, 2564, 543, 17867, 10108, 630, 324, 3052, 1421, 17971, 1070, 3929, 2566, 267, 543, 676, 1808, 6527, 630, 324, 3052, 1421, 4568, 267, 6822, 894, 3834, 2254, 923, 267, 5778, 548, 696, 923, 267, 8102, 1218, 1040, 272, 454, 268, 10067, 578, 12245, 24448, 267, 18004, 655, 2335, 10790, 269, 715, 3918, 300, 12619, 5025, 9317, 531, 31226, 558, 333, 5362, 269, 769, 281, 918, 787, 3455, 631, 295, 267, 681, 1054, 570, 267, 1546, 618, 654, 290, 267, 32308, 269, 14362, 543, 6657, 540, 12619, 6925, 269, 476, 275, 628, 1196, 269, 15740, 267, 14529, 281, 29021, 590, 16184, 619, 282, 476, 1220, 276, 281, 6434, 280, 268, 8660, 277, 269, 0, 288, 1804, 7382, 540, 1216, 814, 513, 25652, 598, 624, 539, 547, 269, 634, 7382, 630, 320, 12718, 264, 568, 476, 275, 269, 271, 544, 538, 4463, 543, 519, 7382, 568, 20177, 693, 519, 1283, 543, 814, 19316, 2011, 1063, 519, 1216, 2627, 543, 519, 1283, 269, 1879, 519, 1216, 4463, 554, 814, 519, 1871, 476, 274, 269, 2004, 332, 267, 519, 6207, 2604, 533, 540, 519, 19316, 2011, 568, 476, 275, 269, 736, 265, 1015, 317, 276, 25508, 269, 27539, 602, 519, 2011, 1657, 519, 1216, 21040, 693, 3586, 10917, 269, 543, 1491, 519, 11626, 2604, 547, 581, 476, 272, 269, 876, 265, 1015, 317, 276, 25508, 269, 1548, 568, 519, 3432, 693, 799, 519, 1216, 8928, 856, 540, 519, 25652, 693, 554, 815, 476, 274, 269, 271, 332, 543, 554, 815, 476, 273, 269, 271, 332, 286, 693, 1018, 1871, 554, 1281, 519, 1216, 3247, 13576, 888, 296, 6415, 7168, 2386, 713, 3322, 519, 4998, 3154, 3830, 540, 1533, 14346, 815, 562, 337, 307, 543, 6148, 519, 1249, 602, 519, 4320, 2333, 610, 6175, 546, 309, 609, 2463, 547, 942, 568, 3160, 547, 519, 4463, 2333, 610, 6175, 546, 327, 609, 2463, 547, 942, 19601, 763, 28055, 693, 513, 8827, 454, 296, 723, 6836, 3833, 513, 1906, 1919, 855, 547, 581, 9237, 708, 588, 22981, 693, 875, 547, 1935, 713, 1966, 865, 5225, 948, 1862, 328, 9244, 5660, 621, 1862, 0, 18404, 1023, 9388, 609, 519, 5726, 540, 513, 1895, 540, 2326, 602, 723, 1044, 1031, 538, 5656, 585, 3388, 689, 7293, 3334, 543, 4368, 902, 547, 4365, 16513, 532, 267, 18203, 267, 543, 23732, 269, 898, 6227, 1312, 519, 4401, 2861, 543, 519, 1875, 1922, 518, 9317, 8407, 630, 7945, 607, 7601, 267, 19730, 543, 1291, 1070, 538, 1142, 2013, 6236, 6639, 4720, 267, 21324, 3157, 267, 543, 519, 4052, 3498, 543, 1279, 3856, 6286, 540, 519, 1455, 5726, 2326, 543, 2409, 563, 8368, 540, 12937, 454, 10666, 713, 1433, 269, 4635, 891, 2835, 269, 3487, 476, 272, 269, 476, 272, 269, 7072, 476, 273, 269, 3778, 540, 4496, 2324, 476, 274, 269, 11629, 1116, 4496, 11529, 476, 275, 269, 667, 2678, 1640, 566, 543, 3441, 476, 276, 269, 10495, 476, 277, 269, 9615, 543, 7816, 476, 278, 269, 5516, 543, 5826, 3487, 476, 273, 476, 279, 269, 12113, 9317, 5450, 1023, 281, 12113, 9317, 5450, 1023, 476, 280, 269, 4856, 2607, 730, 4401, 3487, 476, 274, 476, 1015, 269, 6348, 6363, 518, 9317, 5450, 1023, 476, 1556, 269, 8048, 476, 1321, 269, 21019, 543, 21019, 2353, 9081, 476, 1724, 269, 1325, 6058, 1756, 476, 1691, 269, 4033, 8407, 3487, 476, 275, 476, 1428, 269, 7981, 11762, 281, 19045, 23516, 5463, 2610, 476, 1626, 269, 19045, 6465, 4231, 476, 1704, 269, 13852, 338, 2561, 754, 1182, 269, 3794, 27443, 269, 12039, 454, 763, 9115, 2992, 519, 960, 540, 519, 8490, 11094, 543, 3194, 12243, 267, 741, 9164, 693, 19866, 4789, 267, 543, 741, 29801, 543, 3173, 267, 945, 1927, 723, 1082, 5756, 540, 19017, 1995, 538, 7231, 609, 14016, 908, 2679, 2326, 543, 1949, 540, 782, 2010, 269, 901, 3818, 16162, 9918, 2319, 540, 16413, 267, 5619, 832, 267, 11122, 2209, 543, 3744, 616, 3743, 585, 3044, 4259, 543, 1382, 2066, 513, 2647, 2039, 540, 19866, 4789, 2238, 269, 634, 2319, 2027, 2478, 538, 7231, 609, 519, 4052, 267, 2930, 543, 3621, 3344, 540, 2679, 2326, 9178, 543, 741, 2126, 269, 634, 2832, 814, 1044, 547, 1683, 4052, 5796, 676, 14957, 513, 1455, 1935, 540, 1101, 569, 1620, 519, 1570, 610, 2679, 3693, 543, 1946, 621, 568, 14016, 908, 267, 543, 1287, 7231, 609, 519, 3123, 269, 634, 2835, 13404, 593, 1346, 3344, 799, 616, 1713, 538, 5726, 2474, 267, 543, 2992, 519, 13668, 585, 1344, 4607, 676, 19866, 4789, 563, 262, 314, 763, 19750, 8490, 11094, 12531, 316, 2709, 9645, 1344, 543, 5796, 593, 1082, 3344, 540, 5726, 5889, 11366, 22935, 4279, 8561, 568, 5116, 538, 782, 519, 12531, 593, 1818, 519, 5467, 5432, 609, 519, 1570, 538, 2243, 267, 4758, 873, 607, 1454, 1344, 543, 4287, 607, 2009, 547, 1450, 873, 547, 1174, 1018, 789, 616, 7231, 609, 5889, 11366, 22935, 3947, 513, 3102, 1412, 327, 1343, 593, 262, 1935, 282, 3435, 616, 1336, 267, 2409, 4330, 543, 4052, 4388, 11884, 2016, 269, 898, 1058, 581, 6854, 593, 519, 2835, 3559, 325, 1369, 3914, 540, 1034, 1316, 2358, 4648, 538, 519, 2361, 9538, 910, 13191, 13643, 8862, 541, 1676, 681, 296, 10621, 590, 7563, 589, 27398, 594, 295, 6195, 267, 16588, 681, 296, 10621, 11094, 6828, 454, 262, 300, 344, 936, 337, 4575, 12705, 540, 713, 3126, 568, 602, 621, 568, 3102, 267, 1134, 1305, 856, 543, 2653, 547, 1246, 267, 543, 621, 1058, 581, 540, 1719, 1312, 547, 782, 3238, 538, 519, 7816, 543, 5826, 540, 8978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18278, 1040, 1548, 568, 519, 9756, 1063, 3002, 2504, 543, 3002, 2530, 538, 4330, 1974, 540, 8611, 888, 28959, 2504, 20546, 525, 3002, 2530, 27661, 28959, 2504, 11224, 547, 3002, 2530, 2878, 454, 28959, 2504, 568, 1447, 982, 3002, 2530, 454, 5719, 920, 2084, 540, 3002, 2504, 1510, 2242, 540, 3002, 2530, 454, 19102, 2084, 540, 3002, 2504, 1510, 2242, 540, 3002, 2530, 454, 4029, 269, 10960, 729, 22280, 609, 7510, 4088, 547, 16196, 8611, 269, 1548, 7271, 6238, 1184, 540, 2837, 2810, 888, 8002, 10474, 540, 1875, 6879, 1853, 532, 5687, 14003, 27661, 8002, 10474, 540, 695, 1853, 532, 5687, 14003, 454, 305, 1047, 540, 1305, 1448, 540, 22243, 3467, 326, 1637, 538, 20968, 31726, 2878, 454, 24965, 794, 540, 3002, 2530, 454, 291, 1170, 27937, 540, 16617, 543, 19842, 8485, 800, 3175, 538, 8031, 454, 3953, 269, 769, 513, 3461, 609, 3791, 3942, 540, 8611, 5114, 1739, 19183, 4767, 912, 629, 1495, 656, 24852, 267, 512, 778, 2988, 12795, 630, 27463, 848, 538, 7929, 2557, 1070, 6175, 540, 1560, 2837, 269, 1548, 568, 519, 7271, 540, 1646, 540, 891, 2589, 888, 24965, 794, 540, 695, 1853, 532, 5687, 14003, 27661, 305, 1047, 540, 1305, 1448, 540, 22243, 3467, 326, 1637, 538, 20968, 31726, 454, 303, 1042, 558, 1588, 540, 3002, 2504, 936, 519, 3002, 2530, 454, 8110, 8327, 531, 21729, 617, 559, 520, 566, 2878, 454, 3451, 269, 21111, 267, 945, 814, 1044, 7092, 689, 13663, 267, 814, 8467, 540, 2295, 2534, 543, 512, 778, 344, 15258, 807, 1282, 519, 3942, 540, 2295, 2530, 269, 1548, 568, 519, 2012, 540, 713, 28658, 286, 589, 269, 29956, 3562, 13877, 12900, 27661, 4097, 269, 29675, 540, 11248, 18063, 547, 6175, 540, 2825, 2837, 950, 1210, 13672, 14194, 1066, 334, 1061, 528, 3625, 619, 269, 6904, 7271, 568, 3743, 585, 713, 888, 13528, 566, 540, 3119, 3002, 27661, 17746, 9689, 540, 2960, 8043, 2878, 454, 3374, 269, 2991, 1973, 13816, 4288, 3461, 20286, 4743, 540, 3002, 267, 22759, 267, 2333, 540, 1560, 2837, 547, 1341, 6110, 290, 269, 4706, 1634, 519, 2014, 540, 15038, 2837, 568, 21131, 540, 1439, 18100, 7510, 5766, 839, 269, 6904, 2281, 3132, 1439, 4878, 5766, 839, 888, 3607, 269, 634, 1114, 2010, 540, 2837, 7455, 616, 4080, 593, 6514, 540, 519, 7783, 2550, 269, 1548, 824, 27690, 2175, 666, 1291, 547, 519, 8611, 286, 0, 763, 10605, 540, 7384, 799, 27311, 814, 9738, 585, 3368, 513, 2540, 676, 1631, 568, 30945, 519, 12337, 1379, 1169, 1079, 1296, 269, 901, 568, 1634, 607, 519, 18703, 779, 1876, 269, 901, 814, 3366, 547, 519, 5904, 540, 2221, 543, 849, 519, 2706, 28669, 619, 799, 616, 5701, 607, 10700, 7384, 23766, 269, 901, 7384, 1379, 568, 2111, 547, 6023, 2462, 1239, 1299, 8668, 23766, 538, 741, 2518, 4238, 1299, 2282, 1483, 942, 6422, 2079, 269, 1452, 6671, 5904, 1869, 3111, 547, 1683, 3435, 547, 5458, 1239, 2152, 796, 19960, 514, 762, 2221, 269, 634, 2626, 6013, 538, 17747, 17270, 563, 4467, 14293, 569, 2139, 1655, 1634, 21932, 616, 476, 1428, 4295, 27098, 594, 11803, 609, 476, 275, 269, 274, 5479, 27820, 1299, 715, 341, 573, 807, 609, 811, 982, 476, 278, 5479, 269, 1452, 21932, 3111, 547, 4194, 1208, 2426, 748, 2042, 540, 519, 1554, 269, 7402, 11736, 666, 581, 835, 1383, 269, 769, 476, 2735, 271, 267, 6739, 4436, 22301, 962, 19441, 14086, 6069, 519, 2856, 540, 7061, 7384, 269, 589, 1032, 2663, 900, 5799, 21997, 9400, 3171, 2106, 2006, 4843, 513, 9266, 7061, 2780, 2203, 269, 634, 6671, 2780, 519, 27820, 4308, 609, 9352, 1893, 2073, 538, 513, 7061, 7384, 9183, 621, 568, 998, 513, 7061, 3787, 26759, 865, 1572, 844, 4226, 563, 2005, 2488, 721, 609, 6909, 1007, 7399, 585, 519, 2500, 4393, 540, 12240, 3564, 1018, 649, 1223, 723, 2479, 16545, 269, 9122, 593, 844, 23605, 267, 621, 13333, 593, 1079, 1883, 3741, 540, 7061, 6323, 2706, 6570, 543, 1303, 836, 2211, 269, 4635, 891, 3741, 621, 1131, 581, 2111, 547, 4194, 2352, 2042, 602, 616, 703, 847, 762, 1210, 519, 6671, 2780, 1949, 269, 2060, 782, 519, 1728, 701, 3297, 7061, 7384, 267, 621, 568, 1869, 538, 513, 13439, 1417, 3942, 1018, 8106, 7384, 729, 538, 519, 2048, 2004, 338, 269, 898, 814, 519, 1761, 547, 22499, 7384, 563, 26073, 12577, 267, 1928, 560, 1136, 267, 818, 706, 748, 1299, 1279, 2165, 1382, 814, 2141, 4956, 519, 1576, 540, 1480, 1646, 267, 7061, 7384, 814, 602, 1761, 269, 22628, 713, 1761, 22126, 267, 5616, 267, 9786, 543, 27311, 723, 4628, 19526, 538, 267, 538, 713, 1382, 269, 667, 23027, 32141, 3294, 607, 513, 7061, 7384, 2754, 1299, 568, 21722, 713, 1382, 269, 1284, 666, 1406, 6488, 7508, 856, 593, 713, 7061, 20014, 563, 12702, 19611, 9331, 19766, 308, 16249, 4959, 5990, 17834, 4306, 8863, 17920, 2894, 294, 5058, 667, 5456, 3951, 3201, 21598, 2177, 2316, 2207, 269, 0, 31863, 543, 30141, 2262, 1931, 538, 3860, 1603, 533, 696, 454, 292, 2416, 2322, 513, 3339, 5220, 568, 519, 10035, 585, 2407, 3381, 267, 1641, 540, 2262, 1931, 538, 799, 519, 5721, 8452, 269, 31292, 281, 3339, 1931, 568, 519, 5856, 4781, 593, 269, 6348, 5937, 580, 1388, 23234, 723, 1044, 1031, 538, 15242, 267, 596, 593, 513, 4845, 1931, 547, 4729, 8701, 10974, 596, 991, 547, 811, 269, 3371, 4016, 547, 4137, 856, 1978, 1913, 547, 1689, 519, 2262, 1931, 543, 19773, 585, 519, 8231, 269, 1323, 30141, 2262, 1931, 267, 1603, 2319, 16858, 547, 11168, 513, 4845, 1931, 972, 616, 269, 1411, 782, 1250, 1557, 950, 519, 1482, 4806, 585, 5789, 7999, 747, 729, 1031, 585, 269, 6478, 1931, 568, 606, 30141, 28764, 3340, 513, 15749, 610, 547, 4558, 519, 2262, 3498, 269, 23759, 517, 267, 3339, 2262, 1931, 585, 5789, 7999, 747, 729, 9862, 269, 5620, 1775, 1185, 17077, 569, 8737, 1603, 281, 8231, 269, 1284, 4126, 602, 5432, 3278, 1053, 547, 581, 563, 292, 2416, 2322, 1101, 5189, 547, 1118, 519, 4604, 267, 32029, 13472, 602, 1079, 610, 269, 769, 11437, 1934, 616, 2322, 1101, 568, 16832, 585, 1753, 1565, 267, 875, 1281, 713, 960, 676, 4005, 476, 7785, 3860, 1184, 269, 21111, 18923, 2111, 547, 1106, 513, 4871, 540, 1913, 971, 607, 513, 546, 322, 5179, 547, 4766, 519, 1379, 1448, 2066, 5604, 476, 18458, 543, 556, 3430, 3737, 267, 1247, 269, 10705, 9060, 513, 32029, 6212, 593, 547, 513, 6712, 540, 513, 4914, 1379, 1448, 1775, 723, 1775, 1185, 17077, 569, 8737, 1603, 269, 11635, 344, 281, 513, 14165, 543, 519, 3860, 1603, 606, 30141, 538, 799, 269, 1306, 1857, 1072, 543, 922, 575, 1173, 548, 796, 611, 6665, 762, 269, 769, 591, 1206, 519, 2262, 1931, 547, 1205, 519, 2962, 269, 22043, 2262, 1931, 585, 519, 1257, 607, 269, 3371, 781, 519, 2495, 540, 513, 4015, 540, 7005, 267, 1603, 18665, 564, 563, 3719, 519, 8265, 5030, 519, 5856, 585, 1603, 12987, 3636, 619, 267, 1118, 2386, 602, 533, 1186, 538, 799, 269, 901, 666, 581, 513, 12457, 539, 856, 2953, 1895, 476, 273, 1806, 2262, 1931, 4386, 950, 3001, 593, 519, 10902, 267, 1929, 335, 543, 30141, 269, 21111, 18923, 2111, 547, 1118, 519, 18552, 789, 616, 2813, 269, 5620, 476, 2537, 8424, 540, 7005, 267, 2034, 267, 3845, 1565, 267, 2356, 865, 2182, 538, 799, 269, 7849, 4845, 4806, 540, 519, 2262, 1931, 269, 7849, 543, 786, 713, 960, 676, 1603, 606, 1383, 519, 1820, 2511, 540, 621, 568, 28617, 269, 5295, 4812, 476, 1001, 274, 13071, 596, 666, 4945, 547, 1224, 811, 2882, 32029, 476, 9032, 9375, 2115, 543, 563, 19284, 519, 1769, 12258, 10696, 30141, 607, 538, 513, 7535, 543, 3742, 5639, 286, 3220, 3739, 2262, 1931, 1310, 596, 991, 547, 1246, 835, 1292, 14487, 540, 513, 4493, 593, 547, 1603, 533, 696, 476, 272, 269, 27752, 585, 5985, 2262, 3561, 3435, 7668, 3025, 689, 519, 2495, 540, 5220, 269, 15147, 4484, 267, 593, 1210, 30141, 2262, 267, 1641, 2501, 1354, 519, 1641, 2501, 1354, 519, 3017, 1063, 519, 8265, 5030, 519, 269, 10576, 519, 1966, 543, 1118, 519, 2757, 4341, 267, 513, 3339, 2262, 3498, 563, 31863, 543, 30141, 2262, 1931, 538, 3860, 1603, 454, 30265, 523, 1014, 30165, 24716, 281, 2596, 4845, 1931, 281, 1412, 9917, 568, 28617, 269, 4855, 2262, 1931, 6430, 799, 513, 6668, 1650, 269, 4856, 22046, 532, 547, 1106, 513, 1974, 568, 519, 3339, 543, 5022, 20328, 269, 2334, 4845, 267, 543, 12550, 21306, 545, 267, 2453, 267, 1250, 267, 18807, 269, 18564, 875, 519, 1641, 267, 855, 952, 596, 269, 1703, 616, 3860, 1603, 513, 2123, 3948, 476, 272, 269, 4438, 713, 267, 543, 19511, 267, 1034, 4909, 5013, 2408, 693, 519, 3044, 538, 2055, 281, 2261, 807, 269, 11635, 344, 281, 1119, 333, 22781, 620, 8725, 543, 568, 519, 4845, 17176, 519, 2067, 1931, 789, 5280, 803, 585, 1753, 2063, 3781, 476, 273, 269, 18564, 875, 519, 804, 12495, 1185, 15991, 2479, 6836, 5007, 3318, 1603, 538, 563, 8196, 3339, 543, 30141, 2262, 1931, 538, 3860, 1603, 454, 763, 15669, 3096, 2262, 602, 649, 946, 891, 3211, 585, 2565, 3206, 543, 4079, 269, 2974, 783, 2262, 30141, 1931, 281, 1711, 4351, 5220, 568, 849, 5497, 2856, 269, 11635, 344, 281, 2921, 10876, 1631, 5299, 543, 3860, 1603, 543, 824, 2609, 269, 769, 30062, 4845, 20536, 267, 1412, 328, 262, 568, 1500, 689, 519, 1641, 269, 8525, 6609, 281, 2262, 1412, 18876, 3299, 4171, 11098, 538, 7005, 281, 620, 823, 607, 269, 2701, 4867, 11414, 3860, 5220, 568, 30141, 2262, 602, 6257, 269, 5221, 649, 267, 2356, 9141, 676, 4946, 513, 2582, 19722, 7436, 585, 5830, 3006, 547, 5815, 602, 1767, 269, 3371, 616, 4852, 12519, 6988, 267, 24495, 923, 1510, 1439, 538, 269, 5221, 649, 946, 3296, 540, 29884, 543, 711, 269, 3371, 781, 513, 4845, 543, 7048, 593, 519, 8231, 8360, 267, 16471, 267, 3950, 585, 3860, 23730, 269, 2107, 7215, 540, 519, 946, 24495, 923, 1510, 4657, 519, 4845, 568, 519, 8231, 1641, 568, 5618, 476, 1428, 1913, 616, 3401, 269, 24436, 540, 16105, 281, 9148, 568, 2944, 547, 2648, 1018, 519, 3339, 1931, 269, 2776, 21752, 1921, 513, 7363, 1131, 538, 3200, 3339, 543, 269, 2368, 2081, 547, 1451, 875, 1114, 547, 2328, 2984, 538, 14786, 543, 30141, 2262, 1931, 540, 1142, 1913, 2016, 267, 1847, 593, 942, 610, 563, 1103, 30062, 2262, 1931, 538, 3860, 1603, 454, 303, 6372, 547, 17708, 1154, 1810, 583, 607, 538, 513, 16083, 610, 7215, 3617, 585, 9344, 737, 268, 279, 267, 519, 1034, 1455, 4845, 269, 7305, 540, 2262, 1931, 547, 1224, 2228, 585, 513, 3860, 1603, 267, 12809, 5639, 269, 6904, 513, 7363, 946, 1775, 30062, 1931, 1315, 2760, 1315, 4845, 2010, 7528, 790, 30141, 2262, 1931, 286, 2701, 814, 1044, 5433, 585, 707, 1053, 269, 1323, 2079, 4016, 547, 3514, 519, 2262, 1931, 8231, 610, 513, 4845, 1931, 568, 269, 2701, 814, 1044, 12617, 538, 24349, 267, 538, 1978, 2453, 543, 4342, 4068, 2868, 1782, 518, 4589, 3483, 286, 9956, 781, 30141, 2262, 1931, 267, 1018, 519, 3339, 543, 269, 11635, 344, 281, 538, 7005, 8239, 3992, 602, 11363, 269, 918, 1157, 1376, 707, 2702, 547, 960, 910, 7005, 267, 18781, 267, 519, 1283, 269, 15147, 2985, 1433, 7824, 26468, 813, 1085, 600, 1297, 543, 1287, 581, 22495, 730, 543, 16046, 281, 1641, 8231, 269, 1403, 621, 781, 513, 2241, 16056, 10959, 2262, 1931, 12150, 13450, 621, 2636, 835, 1259, 547, 1039, 8561, 269, 0, 3383, 9773, 294, 553, 5063, 13931, 513, 623, 13585, 299, 31465, 5108, 1062, 602, 3096, 7943, 547, 6460, 2067, 3154, 543, 1216, 883, 7250, 543, 7001, 519, 3327, 8166, 630, 4596, 273, 264, 547, 2061, 3327, 5434, 269, 25756, 814, 1082, 3156, 267, 1519, 1379, 532, 6472, 543, 5321, 563, 5415, 982, 476, 4335, 267, 1822, 4892, 14970, 10738, 8422, 30683, 540, 7849, 13937, 4469, 4100, 1107, 17459, 6369, 12197, 532, 3427, 540, 5398, 2657, 11001, 700, 4673, 595, 5241, 267, 13930, 7548, 540, 2825, 1072, 9443, 267, 1071, 22052, 4243, 18487, 4879, 540, 519, 2551, 6849, 4598, 4220, 689, 519, 8781, 1055, 540, 4430, 2067, 3154, 693, 3282, 543, 3154, 2504, 4609, 454, 12867, 693, 519, 2160, 540, 13325, 9628, 723, 4362, 513, 1259, 547, 6460, 519, 15655, 538, 2067, 3154, 883, 5277, 8715, 12935, 693, 4055, 2837, 563, 25811, 619, 689, 715, 4785, 723, 25282, 513, 1505, 547, 6460, 2067, 3154, 883, 513, 1875, 7721, 680, 657, 633, 4396, 1106, 1634, 607, 3154, 3289, 6233, 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 ]
[ 3299, 19752, 519, 1419, 7199, 3091, 540, 3028, 547, 519, 1004, 267, 543, 3976, 547, 519, 15234, 335, 12994, 5257, 543, 519, 1533, 269, 7987, 498, 301, 269, 11066, 267, 834, 5257, 8867, 527, 712, 22468, 5257, 543, 1644, 2474, 2437, 15234, 31528, 267, 4936, 543, 20850, 5525, 5257, 476, 274, 630, 3422, 271, 281, 11260, 1700, 10019, 264, 543, 476, 277, 630, 3422, 276, 281, 26297, 1700, 1789, 1040, 7987, 499, 3414, 519, 15234, 548, 527, 712, 22468, 262, 3299, 519, 3638, 5645, 513, 2883, 11411, 543, 941, 5330, 5944, 30039, 609, 4378, 2293, 269, 634, 15234, 548, 527, 712, 22468, 5257, 2968, 1312, 16601, 543, 8956, 881, 267, 5885, 519, 19121, 781, 7555, 1851, 519, 16918, 269, 634, 23649, 540, 513, 18774, 21329, 15234, 548, 527, 712, 22468, 5257, 729, 711, 3454, 539, 513, 1808, 2040, 267, 855, 729, 1303, 27434, 609, 513, 1880, 9161, 267, 799, 1223, 581, 5340, 609, 3152, 610, 14758, 14996, 775, 269, 634, 8783, 12106, 7283, 602, 540, 18523, 4984, 267, 22993, 538, 519, 15976, 281, 631, 15660, 269, 5685, 2917, 4967, 834, 514, 5915, 739, 1156, 525, 262, 1554, 972, 941, 693, 2547, 476, 9032, 1396, 17790, 20499, 538, 18603, 585, 519, 15976, 267, 8375, 547, 476, 14093, 538, 513, 630, 15153, 1066, 333, 658, 264, 7754, 520, 1156, 24191, 1032, 1701, 7987, 498, 19226, 2917, 267, 15234, 763, 9147, 19004, 5257, 476, 273, 526, 1196, 1421, 476, 2735, 276, 281, 14681, 269, 7987, 499, 16828, 267, 896, 519, 4936, 7276, 267, 971, 13800, 267, 1634, 607, 544, 684, 5028, 267, 1821, 9407, 883, 513, 8013, 543, 25010, 3585, 7199, 11411, 602, 729, 14284, 950, 2009, 563, 418, 488, 482, 24757, 19764, 499, 17958, 30317, 12530, 375, 24731, 10429, 372, 281, 476, 12530, 499, 12530, 359, 12530, 376, 419, 503, 378, 26175, 495, 11590, 489, 10429, 372, 7987, 492, 476, 11210, 355, 11210, 352, 11210, 511, 12530, 504, 12530, 485, 11210, 352, 11210, 351, 27818, 310, 7364, 24724, 7987, 493, 454, 347, 22614, 379, 375, 420, 357, 367, 7430, 357, 20001, 508, 418, 505, 372, 2433, 22614, 379, 375, 420, 357, 367, 28374, 7430, 509, 11210, 479, 28374, 11210, 353, 12530, 367, 11210, 379, 12530, 376, 12530, 491, 12530, 481, 12530, 486, 12530, 359, 11210, 377, 12530, 376, 11210, 373, 2008, 15648, 18154, 264, 737, 582, 20899, 269, 928, 12459, 335, 476, 1960, 278, 268, 1001, 277, 269, 2353, 7126, 27616, 269, 0, 1103, 2241, 1913, 267, 968, 293, 9879, 892, 568, 519, 2534, 610, 1870, 540, 3395, 7031, 543, 9870, 13184, 269, 1656, 968, 294, 731, 2287, 892, 568, 9833, 607, 519, 2534, 540, 512, 2056, 543, 14237, 513, 4677, 267, 2356, 607, 513, 2250, 830, 563, 7212, 1312, 666, 581, 12348, 267, 972, 779, 513, 3017, 1063, 519, 1079, 256, 634, 2101, 835, 568, 602, 8105, 2356, 3587, 513, 1870, 543, 513, 2707, 540, 4747, 585, 519, 16027, 267, 1247, 12202, 568, 6140, 513, 16837, 569, 2534, 563, 4131, 779, 1491, 513, 4514, 1413, 693, 1018, 8105, 543, 12202, 616, 543, 741, 3604, 563, 1432, 568, 28524, 888, 293, 9879, 568, 519, 957, 610, 1184, 540, 2324, 519, 2666, 267, 1519, 9544, 5452, 543, 3395, 17580, 2371, 269, 14780, 2358, 2831, 585, 5144, 543, 5779, 568, 849, 2808, 8105, 269, 898, 779, 513, 1259, 540, 10503, 519, 6197, 543, 519, 960, 540, 1004, 4171, 6009, 616, 538, 519, 6694, 2872, 563, 7197, 540, 519, 2472, 602, 596, 8532, 616, 689, 8105, 269, 1411, 949, 4898, 543, 1522, 6720, 553, 1125, 827, 1018, 6683, 568, 269, 1323, 24492, 532, 3761, 540, 1426, 1223, 581, 1175, 835, 540, 519, 1906, 1919, 593, 707, 2247, 563, 4407, 930, 1004, 1419, 1589, 827, 887, 739, 619, 7715, 532, 267, 6705, 6117, 8778, 832, 267, 5144, 532, 23161, 267, 543, 713, 19267, 741, 9843, 8164, 8105, 568, 4547, 909, 269, 1717, 267, 8105, 3217, 513, 2603, 540, 2182, 960, 543, 5673, 593, 1585, 5007, 2188, 971, 607, 519, 4365, 543, 1426, 5777, 563, 15650, 540, 28524, 454, 17843, 2010, 540, 8105, 616, 13736, 538, 1585, 4525, 5001, 1759, 593, 1896, 824, 2188, 269, 6201, 540, 971, 2188, 602, 1860, 519, 2186, 540, 8105, 1331, 2916, 1689, 543, 3037, 12680, 563, 293, 9879, 14122, 9870, 13184, 543, 3395, 7031, 585, 6151, 2326, 543, 1426, 269, 901, 568, 513, 4105, 851, 540, 6683, 543, 3459, 8536, 1296, 3516, 269, 634, 1034, 2442, 2010, 540, 8105, 13736, 1472, 519, 1158, 616, 912, 268, 19966, 1076, 8105, 1107, 19663, 7031, 538, 3636, 2916, 563, 268, 12815, 7394, 8105, 1107, 9870, 2831, 538, 4411, 2916, 1152, 563, 268, 623, 15160, 8105, 1107, 585, 2831, 609, 5779, 543, 5798, 563, 268, 6987, 2400, 543, 2271, 2400, 8105, 1107, 2244, 11489, 720, 563, 268, 24908, 8105, 1107, 3395, 7031, 543, 2831, 593, 519, 1482, 2244, 563, 30509, 689, 602, 267, 972, 616, 513, 1906, 811, 2010, 267, 1519, 4427, 338, 14571, 8105, 267, 20767, 23358, 8105, 267, 32633, 19631, 1200, 3429, 267, 20497, 24873, 267, 543, 700, 12083, 556, 2130, 269, 6744, 873, 856, 538, 713, 3381, 563, 1432, 568, 519, 11957, 540, 28524, 888, 1103, 1250, 6644, 267, 8105, 568, 519, 4493, 540, 782, 1272, 269, 898, 779, 513, 2596, 13766, 267, 543, 1510, 621, 267, 519, 1158, 1131, 711, 3132, 922, 1426, 269, 26478, 2832, 693, 3246, 2614, 2635, 1426, 585, 519, 2479, 2987, 920, 2084, 2551, 540, 519, 1158, 563, 293, 9879, 6585, 865, 1454, 2956, 711, 1152, 1317, 621, 7472, 1426, 585, 519, 1158, 547, 3548, 855, 849, 538, 824, 3344, 267, 971, 607, 2870, 811, 6009, 267, 3246, 513, 2707, 540, 4123, 267, 543, 3056, 547, 5989, 543, 5663, 563, 11101, 267, 6683, 4249, 513, 2629, 543, 11358, 1909, 538, 519, 3003, 1272, 540, 513, 2016, 4346, 269, 898, 5713, 607, 519, 22449, 540, 519, 2804, 1062, 538, 513, 2197, 269, 898, 849, 6585, 10373, 2956, 950, 6705, 4225, 9265, 593, 741, 2244, 563, 2005, 779, 849, 2635, 585, 938, 3993, 3618, 1317, 621, 2640, 519, 4541, 607, 513, 2898, 607, 621, 2164, 538, 8902, 3037, 267, 1447, 11761, 267, 1732, 1216, 5726, 267, 543, 8902, 25199, 563, 11997, 267, 621, 779, 1434, 585, 519, 1604, 543, 2306, 6683, 606, 1898, 851, 540, 519, 4783, 540, 1272, 563, 1432, 568, 29972, 888, 11039, 267, 12202, 568, 12391, 610, 512, 2056, 540, 2371, 596, 12630, 538, 519, 3037, 1472, 707, 1753, 610, 538, 606, 1858, 596, 4076, 6131, 547, 12202, 269, 1358, 666, 581, 1022, 1826, 540, 2371, 602, 596, 1616, 547, 1332, 855, 519, 1034, 1455, 2371, 1031, 538, 12202, 616, 5810, 543, 11922, 267, 855, 3006, 5388, 616, 1031, 1932, 563, 9617, 899, 8105, 267, 596, 991, 513, 2603, 540, 11428, 585, 12202, 269, 898, 666, 581, 2808, 1312, 607, 606, 1148, 7255, 609, 32069, 25786, 2371, 543, 607, 513, 2257, 6220, 519, 3741, 543, 2553, 540, 2030, 14713, 563, 2026, 519, 2371, 6738, 998, 12202, 616, 2944, 896, 1114, 543, 2199, 2175, 540, 4365, 267, 3079, 540, 741, 2067, 1604, 267, 621, 779, 1898, 547, 7854, 2553, 540, 2030, 14713, 6508, 689, 2030, 17550, 267, 7998, 267, 543, 7762, 1415, 547, 2327, 602, 789, 666, 7639, 269, 634, 2259, 6923, 2115, 811, 9542, 547, 2199, 2175, 563, 294, 731, 2287, 568, 2356, 1031, 538, 1818, 10651, 585, 606, 10694, 4159, 267, 543, 1004, 5001, 723, 2322, 538, 1454, 4674, 547, 3337, 741, 10651, 547, 1683, 513, 4190, 12716, 269, 4475, 267, 519, 15131, 585, 12202, 14340, 689, 513, 18642, 3210, 547, 2470, 543, 513, 991, 547, 3132, 2208, 543, 10103, 563, 15650, 540, 29972, 454, 294, 731, 2287, 666, 581, 811, 982, 1175, 9544, 5810, 269, 1411, 666, 1711, 2789, 2010, 540, 10651, 1759, 593, 1585, 4798, 267, 971, 607, 7446, 4190, 2371, 267, 4946, 513, 18147, 11432, 267, 543, 1256, 3395, 707, 1378, 1426, 2336, 2467, 616, 1896, 1114, 2010, 540, 10651, 269, 1452, 1331, 912, 268, 19643, 12187, 10651, 454, 268, 29597, 518, 10651, 454, 268, 23227, 566, 10651, 454, 268, 17667, 12202, 454, 268, 4826, 10651, 454, 1432, 568, 519, 11957, 540, 29972, 888, 2467, 616, 1896, 2640, 540, 12202, 602, 3142, 513, 2603, 540, 2956, 547, 713, 2534, 563, 2026, 728, 689, 4543, 596, 6001, 267, 621, 1223, 849, 948, 1628, 4222, 267, 2087, 16608, 267, 3895, 3207, 267, 543, 948, 2226, 513, 2635, 2597, 563, 6546, 779, 1317, 2238, 899, 986, 6362, 543, 5969, 6371, 666, 581, 2808, 1769, 547, 9793, 5751, 267, 543, 1866, 267, 971, 607, 15524, 767, 532, 267, 20857, 267, 543, 14299, 4771, 267, 616, 2356, 9833, 607, 24526, 5751, 269, 1924, 267, 10416, 267, 2324, 538, 513, 4677, 3096, 1169, 2101, 4887, 538, 519, 1560, 543, 2337, 1832, 513, 1268, 3514, 563, 1103, 1840, 267, 9205, 12202, 666, 948, 707, 1560, 4339, 3676, 269, 1879, 513, 1268, 568, 856, 704, 14127, 12202, 267, 789, 2461, 811, 6534, 547, 519, 3141, 267, 799, 27862, 835, 609, 519, 5567, 789, 991, 267, 971, 607, 6171, 667, 268, 5140, 585, 2960, 543, 7633, 2336, 18455, 856, 538, 519, 3141, 666, 948, 2539, 519, 1981, 540, 1082, 3676, 267, 971, 607, 6089, 2860, 267, 17150, 2860, 267, 1875, 6953, 617, 326, 7219, 779, 28623, 267, 543, 2789, 26379, 269, 589, 2370, 24106, 538, 519, 4677, 4422, 513, 1360, 1279, 1259, 538, 519, 1560, 563, 11101, 267, 12202, 568, 606, 8216, 7099, 26259, 269, 898, 666, 581, 707, 9101, 689, 2566, 538, 1272, 543, 948, 513, 1268, 1745, 811, 4448, 547, 519, 3618, 269, 898, 2337, 2333, 1582, 12635, 543, 6971, 4965, 607, 1134, 607, 4160, 563, 3674, 29972, 12830, 547, 519, 5113, 888, 8170, 1576, 267, 10651, 616, 849, 2629, 547, 519, 4541, 256, 4634, 1498, 10651, 616, 1480, 13402, 267, 789, 2099, 513, 2067, 1604, 563, 12179, 2371, 543, 4054, 1685, 15591, 543, 1683, 4195, 5135, 269, 1656, 621, 779, 5072, 948, 24644, 519, 3037, 543, 6882, 519, 1216, 563, 300, 10129, 531, 10651, 543, 3084, 11614, 1831, 2922, 688, 26223, 585, 782, 6073, 540, 3552, 7068, 602, 1522, 723, 1044, 19774, 6382, 1813, 547, 519, 4683, 30832, 3149, 540, 519, 2413, 1158, 563, 3674, 29972, 513, 6153, 20122, 2421, 888, 8133, 267, 621, 568, 256, 1306, 5018, 267, 12202, 5713, 607, 606, 5140, 2168, 2534, 2336, 2005, 2306, 513, 7168, 1434, 15904, 12512, 1317, 621, 3340, 596, 547, 2007, 267, 32566, 267, 1216, 519, 2371, 267, 543, 18846, 269, 3194, 2982, 602, 1614, 3108, 540, 9793, 12202, 568, 3160, 547, 7836, 835, 5662, 538, 519, 15547, 563, 2005, 779, 849, 606, 5140, 15908, 1317, 621, 666, 948, 14867, 2566, 269, 5213, 1406, 596, 917, 602, 2337, 5305, 10399, 538, 938, 1560, 602, 957, 607, 2067, 4550, 31398, 816, 1218, 286, 901, 2306, 621, 606, 17752, 547, 8756, 835, 779, 2942, 1648, 883, 1945, 2318, 563, 29012, 267, 12202, 856, 538, 519, 4195, 2011, 543, 3141, 568, 513, 1360, 2500, 1259, 547, 632, 3613, 816, 3054, 543, 5818, 707, 7099, 563, 11795, 2397, 9737, 28524, 543, 29972, 454, 13828, 6705, 543, 22254, 1332, 1426, 610, 2371, 602, 2154, 7943, 267, 3037, 267, 543, 1216, 563, 4913, 267, 789, 1397, 1713, 3604, 538, 3937, 1031, 267, 519, 1702, 2838, 267, 2244, 8244, 267, 942, 5092, 267, 543, 2949, 10342, 563, 293, 1301, 619, 2356, 1332, 741, 7031, 593, 513, 5318, 4336, 269, 24641, 22254, 3622, 1332, 741, 7031, 593, 513, 4130, 4336, 269, 4746, 267, 6705, 946, 811, 6191, 267, 1247, 22254, 4043, 547, 798, 1919, 811, 676, 1688, 563, 15368, 1227, 267, 950, 512, 2056, 547, 513, 4677, 267, 835, 3085, 1406, 991, 4049, 3937, 269, 1717, 267, 8105, 267, 593, 519, 824, 1688, 267, 3340, 1569, 547, 14463, 267, 2182, 342, 8960, 3937, 602, 568, 849, 3833, 7199, 269, 1452, 1331, 8778, 832, 267, 5252, 2209, 267, 554, 3996, 267, 15524, 12069, 267, 543, 649, 5338, 14604, 563, 293, 9879, 3340, 513, 2603, 540, 8804, 543, 7616, 547, 5352, 7443, 267, 10731, 543, 6325, 7031, 1590, 581, 3812, 269, 901, 666, 581, 1360, 7199, 543, 666, 1942, 513, 1268, 741, 3003, 1272, 9494, 952, 789, 6999, 547, 1628, 513, 3484, 563, 4002, 519, 824, 1688, 267, 12202, 568, 513, 2539, 1981, 689, 513, 2883, 5133, 543, 3340, 2484, 1447, 2168, 960, 982, 8105, 269, 898, 779, 2944, 950, 835, 814, 513, 6612, 585, 621, 267, 6466, 8105, 568, 2944, 547, 1118, 606, 4747, 563, 11101, 267, 8105, 3340, 513, 2603, 540, 4282, 1702, 3823, 1565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1022, 3909, 1895, 547, 16028, 563, 29261, 685, 16028, 269, 2659, 1981, 540, 16028, 568, 23060, 952, 596, 723, 4810, 519, 16028, 540, 707, 3237, 269, 2659, 8458, 540, 16028, 616, 2468, 9482, 952, 707, 23947, 814, 849, 1044, 998, 519, 16028, 18659, 540, 741, 3237, 269, 1717, 267, 713, 1281, 711, 8209, 1611, 602, 707, 7365, 786, 1439, 538, 16028, 269, 1411, 1175, 991, 547, 581, 811, 3222, 543, 5059, 593, 707, 7365, 547, 2327, 513, 6126, 7365, 269, 8437, 1934, 547, 1451, 811, 827, 2635, 22888, 563, 1432, 616, 519, 1283, 4128, 585, 16028, 888, 6097, 547, 1382, 267, 519, 1283, 4128, 585, 16028, 616, 1102, 23474, 267, 1102, 23474, 267, 543, 1932, 1454, 19163, 269, 589, 2603, 540, 4128, 1004, 16028, 616, 1644, 547, 711, 1373, 538, 2648, 269, 3194, 2982, 602, 2648, 779, 2470, 2242, 936, 942, 269, 25141, 13508, 666, 948, 596, 556, 11779, 548, 707, 2648, 952, 596, 1745, 899, 596, 4076, 4503, 621, 563, 3963, 568, 7029, 865, 1271, 454, 9928, 2714, 26304, 267, 513, 1134, 8153, 7365, 11001, 543, 13309, 11225, 968, 1260, 2466, 618, 892, 607, 968, 327, 3058, 606, 2949, 2070, 540, 707, 7365, 602, 3085, 1406, 1205, 16397, 676, 519, 3232, 2591, 543, 2042, 1848, 589, 1164, 1377, 540, 7029, 2306, 721, 1745, 811, 5150, 543, 568, 4443, 547, 2285, 269, 901, 1377, 540, 7029, 3217, 942, 543, 3340, 602, 596, 1689, 707, 14820, 269, 898, 666, 581, 3730, 547, 11291, 519, 2318, 2053, 538, 707, 2078, 950, 707, 7029, 4667, 547, 581, 19394, 563, 2710, 596, 723, 2312, 4128, 547, 16028, 888, 290, 537, 1255, 949, 1265, 2933, 538, 1360, 2352, 3871, 971, 607, 1102, 23474, 267, 6057, 267, 610, 1039, 11881, 269, 3962, 3510, 19262, 2027, 3007, 563, 2252, 972, 568, 513, 4806, 610, 4806, 540, 6057, 538, 513, 2078, 267, 621, 568, 1419, 1655, 547, 1439, 519, 7365, 269, 4014, 930, 838, 11817, 666, 7753, 6057, 267, 1453, 543, 838, 11817, 945, 616, 26884, 616, 1419, 1732, 1055, 950, 519, 7365, 7475, 563, 4913, 267, 621, 568, 2009, 547, 1439, 513, 7365, 609, 606, 29880, 7649, 269, 1677, 1439, 519, 29880, 2078, 267, 621, 568, 513, 1434, 2856, 585, 596, 547, 3346, 513, 12062, 585, 6469, 5208, 538, 707, 1858, 563, 1607, 2546, 786, 948, 596, 2697, 4191, 540, 6057, 952, 596, 14353, 596, 610, 2576, 596, 917, 568, 3238, 538, 606, 29880, 2078, 269, 4746, 267, 585, 811, 1344, 543, 948, 267, 596, 666, 1569, 519, 2817, 23582, 20222, 12182, 1467, 693, 476, 8517, 268, 278, 4200, 268, 278, 2537, 274, 610, 3643, 741, 3896, 693, 519, 3905, 1467, 563, 763, 5354, 540, 4892, 3494, 602, 789, 1131, 16028, 741, 23947, 952, 741, 7649, 1750, 730, 593, 741, 1453, 269, 3509, 15185, 630, 2004, 268, 2568, 8472, 723, 7753, 1102, 23474, 543, 616, 2111, 547, 2611, 1927, 563, 763, 1433, 15775, 12815, 519, 10500, 1515, 281, 513, 5358, 547, 6435, 596, 595, 2100, 267, 1261, 531, 543, 8844, 593, 1700, 29310, 267, 18766, 568, 513, 1390, 4199, 585, 1565, 811, 827, 29281, 1102, 23474, 6051, 563, 2252, 596, 616, 8149, 547, 9363, 1927, 267, 596, 1522, 849, 2015, 5275, 856, 948, 689, 513, 8036, 7365, 24468, 610, 513, 3909, 6205, 269, 1358, 786, 948, 596, 547, 12115, 267, 1118, 3664, 267, 543, 4368, 519, 7365, 269, 898, 666, 581, 2352, 547, 9156, 689, 1102, 23474, 1510, 948, 563, 2467, 616, 1082, 2010, 540, 8213, 267, 1519, 4568, 267, 5061, 267, 543, 13989, 563, 2791, 666, 1205, 948, 689, 3906, 899, 715, 2117, 18352, 32088, 610, 15850, 923, 32088, 952, 596, 610, 707, 23947, 616, 10010, 609, 1039, 11881, 563, 15919, 267, 606, 13982, 666, 1118, 513, 2407, 6051, 267, 543, 519, 7365, 666, 581, 10710, 269, 6884, 267, 519, 13982, 666, 9156, 267, 543, 519, 7365, 666, 581, 10710, 269, 769, 891, 2665, 267, 519, 23947, 543, 1453, 1058, 5094, 689, 519, 13982, 538, 1931, 547, 3313, 952, 972, 568, 1022, 3356, 269, 5272, 1268, 568, 1114, 267, 543, 1142, 1367, 1590, 3313, 1018, 568, 1655, 585, 873, 269, 6333, 17874, 513, 3318, 610, 3909, 6205, 547, 948, 596, 6430, 875, 547, 1655, 6023, 707, 3510, 269, 0, 1432, 616, 519, 2694, 540, 513, 7504, 1572, 888, 295, 16017, 20668, 5903, 454, 1432, 616, 519, 2694, 540, 513, 9640, 11876, 1993, 888, 288, 7504, 779, 11876, 1993, 568, 7768, 540, 519, 3774, 267, 6852, 543, 13855, 269, 634, 3774, 568, 3274, 602, 851, 540, 519, 11876, 1993, 602, 568, 7298, 950, 519, 7504, 568, 7555, 269, 898, 6227, 519, 4395, 543, 5011, 540, 519, 3791, 943, 23750, 343, 267, 610, 30756, 514, 5642, 269, 634, 3774, 568, 1500, 909, 540, 519, 23179, 630, 12506, 1070, 20453, 630, 338, 1938, 264, 543, 24933, 563, 1432, 568, 519, 1034, 1271, 851, 540, 513, 7504, 888, 1432, 568, 519, 3364, 593, 513, 7504, 779, 2212, 1572, 888, 2026, 3989, 538, 519, 10228, 2296, 9218, 267, 519, 968, 8455, 548, 892, 2882, 1312, 519, 2212, 560, 718, 602, 6585, 513, 3787, 602, 4422, 538, 519, 5023, 540, 513, 7504, 267, 543, 519, 556, 1231, 602, 616, 7923, 547, 519, 3787, 269, 10361, 613, 541, 1510, 513, 3787, 602, 3096, 513, 9224, 7171, 547, 1852, 513, 7504, 568, 1572, 513, 11360, 600, 648, 267, 610, 267, 538, 930, 2127, 267, 513, 3787, 1652, 10816, 548, 563, 1432, 616, 519, 476, 1428, 1292, 2694, 540, 513, 7504, 888, 288, 16514, 6651, 547, 519, 7756, 20668, 540, 513, 21696, 454, 274, 20413, 3522, 9326, 476, 1708, 271, 28314, 563, 1692, 1082, 12271, 1281, 513, 7504, 723, 888, 4692, 513, 7504, 2661, 1510, 513, 11876, 1993, 888, 295, 8503, 949, 2965, 7639, 1310, 713, 5945, 855, 1590, 556, 3766, 992, 519, 3003, 11876, 1993, 23555, 269, 769, 1034, 2665, 267, 972, 786, 581, 930, 25983, 1275, 540, 519, 1007, 11876, 1993, 23555, 543, 930, 4110, 540, 5312, 22917, 8864, 4440, 786, 1267, 563, 1432, 568, 519, 1034, 6213, 851, 540, 513, 7504, 888, 763, 9224, 267, 17534, 267, 5023, 267, 543, 7654, 519, 10772, 616, 519, 1034, 6213, 2127, 547, 5905, 269, 4014, 11876, 7174, 798, 711, 4431, 547, 15700, 267, 1585, 2694, 540, 519, 11876, 1993, 616, 2111, 547, 1745, 5905, 269, 634, 2631, 540, 5905, 568, 835, 540, 519, 1034, 2919, 543, 1271, 585, 519, 7504, 538, 2474, 540, 1480, 5872, 563, 9989, 7504, 11876, 1993, 16013, 2719, 10413, 888, 7712, 972, 616, 1100, 8229, 30804, 538, 519, 9018, 3296, 540, 519, 11876, 1993, 267, 513, 7504, 3085, 1406, 1745, 1022, 1928, 950, 9640, 327, 3996, 616, 562, 9229, 593, 269, 4595, 741, 11876, 7174, 3136, 547, 1332, 1256, 609, 9640, 327, 3996, 593, 267, 513, 2484, 8175, 786, 991, 547, 16013, 267, 4188, 267, 543, 19268, 513, 7504, 779, 10887, 593, 513, 2834, 4493, 563, 1432, 616, 9640, 17094, 956, 1572, 888, 293, 564, 6674, 568, 519, 1455, 2012, 538, 9640, 267, 1804, 2831, 267, 543, 3006, 5243, 585, 519, 1558, 659, 17369, 2684, 531, 1052, 531, 543, 1558, 520, 1513, 2684, 531, 1052, 531, 10549, 630, 300, 9573, 297, 543, 631, 9143, 297, 1040, 4014, 621, 10169, 20998, 519, 1480, 21721, 538, 5920, 267, 519, 4745, 568, 20248, 811, 2147, 547, 519, 3440, 540, 519, 3723, 563, 1432, 568, 519, 1394, 1439, 540, 513, 7504, 1572, 888, 1432, 568, 519, 3364, 596, 2322, 593, 513, 7504, 547, 11878, 621, 888, 307, 871, 568, 3937, 610, 17960, 9280, 593, 9640, 543, 824, 1226, 1149, 538, 519, 1576, 540, 741, 946, 607, 30042, 2831, 269, 590, 5417, 956, 267, 13489, 745, 1186, 267, 10816, 956, 267, 10300, 1562, 267, 556, 1231, 267, 11353, 267, 10244, 525, 267, 12004, 532, 2297, 267, 543, 6089, 680, 919, 616, 782, 3029, 540, 7504, 8214, 563, 1432, 568, 621, 1572, 950, 513, 7504, 814, 513, 3043, 3068, 888, 1805, 8692, 1315, 22367, 701, 1107, 589, 14816, 568, 513, 7299, 3043, 16287, 2630, 519, 30432, 543, 1657, 519, 19911, 337, 2812, 269, 898, 568, 1360, 7522, 3379, 547, 513, 1025, 10270, 269, 589, 14816, 949, 2196, 585, 782, 610, 1152, 851, 540, 519, 3259, 540, 519, 7504, 779, 3068, 269, 589, 14816, 568, 849, 3006, 1572, 513, 4174, 701, 269, 0, 1103, 31826, 267, 18347, 543, 19026, 616, 1572, 6801, 269, 1879, 18347, 543, 19026, 616, 1305, 1287, 1100, 513, 22273, 5534, 960, 568, 2944, 269, 901, 568, 1572, 512, 4673, 19796, 3534, 269, 5637, 891, 616, 513, 22273, 5534, 10785, 543, 789, 1404, 513, 1360, 1271, 1909, 538, 3257, 1022, 513, 22273, 5534, 960, 269, 7316, 593, 519, 835, 1688, 29831, 568, 519, 2014, 540, 2069, 267, 1453, 543, 4987, 267, 19026, 568, 519, 835, 945, 3947, 8788, 543, 13884, 269, 1403, 891, 1079, 10785, 616, 1305, 267, 1287, 1022, 960, 1281, 711, 2285, 721, 1434, 2164, 563, 4131, 779, 917, 538, 3178, 1018, 568, 519, 5728, 540, 570, 4673, 14878, 3534, 454, 1607, 568, 5018, 538, 519, 21081, 2195, 540, 31826, 269, 11153, 1728, 332, 985, 540, 519, 15519, 1386, 320, 5815, 602, 1282, 519, 1974, 540, 1169, 8938, 3275, 267, 19026, 729, 7298, 26124, 538, 519, 7532, 585, 8370, 3275, 538, 519, 6640, 269, 2201, 519, 4493, 540, 713, 267, 681, 31381, 5336, 1695, 541, 31381, 3092, 269, 1031, 547, 917, 519, 942, 540, 28876, 543, 9066, 269, 13966, 609, 713, 267, 646, 1031, 547, 12575, 1010, 1554, 3562, 6377, 960, 12347, 593, 942, 563, 1607, 568, 849, 1634, 689, 966, 14037, 3332, 3823, 519, 4473, 540, 18347, 543, 19026, 269, 29831, 1031, 547, 31721, 1472, 19026, 585, 1079, 547, 1614, 3275, 269, 4438, 713, 1974, 267, 18347, 3788, 1360, 2673, 547, 19026, 585, 513, 1906, 2395, 269, 18347, 561, 4711, 3297, 1317, 540, 19026, 779, 1378, 2067, 3728, 3350, 269, 19026, 7575, 4464, 1247, 3001, 538, 519, 7532, 4287, 269, 1306, 513, 1267, 267, 519, 4541, 19026, 14380, 2509, 519, 7532, 269, 6969, 713, 1062, 540, 960, 267, 621, 568, 1978, 602, 891, 1079, 10785, 18423, 1927, 585, 930, 942, 563, 763, 4541, 19026, 568, 693, 606, 15820, 540, 28465, 2929, 5195, 689, 3047, 543, 476, 3583, 2929, 5195, 689, 519, 6129, 269, 9603, 547, 7050, 1216, 1543, 538, 621, 267, 621, 568, 3043, 538, 2681, 269, 19026, 1797, 530, 622, 17243, 269, 4340, 547, 922, 4222, 267, 513, 812, 568, 10859, 268, 17641, 610, 2178, 2914, 2683, 269, 901, 568, 1946, 519, 10543, 543, 6640, 5182, 568, 1572, 570, 4673, 1813, 547, 922, 26124, 538, 519, 6607, 3006, 538, 519, 10543, 543, 3006, 538, 519, 6640, 269, 1879, 519, 4541, 19026, 7575, 547, 519, 824, 2427, 540, 519, 3618, 267, 621, 568, 1572, 519, 4259, 610, 29855, 540, 19026, 563, 4263, 602, 942, 630, 307, 4673, 14878, 3534, 264, 789, 1058, 711, 798, 519, 1739, 454, 268, 25141, 267, 20803, 267, 3045, 320, 929, 1662, 534, 267, 24634, 534, 267, 3092, 269, 1058, 711, 581, 2944, 950, 519, 5182, 568, 1305, 563, 268, 1715, 2777, 267, 4070, 540, 2679, 543, 2777, 7127, 3092, 269, 1058, 711, 581, 2944, 563, 268, 2290, 1058, 711, 979, 547, 1022, 31145, 1747, 1141, 596, 723, 2760, 1044, 1354, 563, 268, 1403, 1022, 2229, 960, 568, 588, 6817, 267, 1287, 798, 711, 3643, 1022, 1164, 2229, 1268, 950, 519, 5182, 568, 1305, 269, 19227, 519, 960, 568, 711, 6192, 563, 268, 3143, 3728, 610, 922, 26694, 1058, 581, 2944, 269, 634, 31561, 1058, 711, 1256, 581, 3964, 538, 519, 11454, 563, 268, 2290, 1058, 711, 979, 593, 1022, 4914, 7552, 1282, 713, 1974, 563, 268, 3143, 4996, 10937, 610, 688, 7079, 1058, 581, 5340, 693, 1753, 610, 5604, 563, 268, 1635, 519, 1259, 267, 621, 814, 1044, 1767, 602, 782, 891, 1919, 1058, 711, 581, 2944, 1614, 2395, 1354, 610, 1256, 1614, 2395, 1310, 519, 18347, 543, 19026, 1305, 269, 5637, 519, 10785, 616, 4617, 1282, 713, 1974, 563, 763, 4259, 3942, 540, 1022, 4541, 2501, 693, 519, 942, 950, 513, 4541, 10301, 513, 1880, 1990, 31821, 1129, 676, 1818, 14966, 609, 519, 6129, 269, 9603, 547, 519, 3310, 540, 519, 6129, 267, 519, 21386, 540, 602, 4541, 535, 3547, 543, 789, 1831, 1379, 1652, 269, 1306, 829, 966, 14037, 31826, 11236, 267, 519, 4527, 540, 19026, 568, 2808, 1360, 1271, 269, 634, 1292, 2601, 585, 713, 568, 602, 519, 4541, 19026, 568, 519, 3815, 540, 8788, 543, 13884, 269, 901, 568, 519, 2601, 602, 519, 4259, 540, 519, 4541, 19026, 568, 2808, 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 ]
[ 2989, 3206, 646, 8910, 12842, 267, 8834, 3592, 5612, 8045, 27789, 15024, 6322, 693, 2413, 1944, 6576, 538, 519, 3864, 6073, 269, 1261, 5185, 513, 3787, 540, 11685, 1107, 909, 5142, 902, 676, 519, 6790, 331, 1206, 344, 267, 7911, 1513, 267, 645, 1662, 330, 15077, 543, 10089, 822, 514, 595, 1601, 2931, 1107, 855, 1010, 3210, 729, 23223, 2406, 16190, 543, 22266, 269, 1261, 8045, 1010, 968, 25791, 30222, 892, 609, 3160, 2582, 16490, 1145, 282, 607, 606, 21286, 1129, 540, 519, 3356, 6576, 729, 1818, 538, 4742, 3540, 1242, 630, 1197, 606, 15081, 650, 6560, 1070, 8834, 2838, 1010, 5480, 4536, 267, 8387, 543, 10492, 547, 695, 1511, 741, 581, 1841, 543, 9772, 2413, 10571, 269, 769, 1249, 267, 646, 5116, 513, 3454, 593, 581, 1841, 543, 3775, 525, 538, 5181, 476, 15433, 279, 563, 3719, 547, 1832, 782, 713, 3356, 12902, 267, 6576, 2877, 606, 4443, 1259, 547, 1921, 609, 2342, 281, 17535, 16788, 602, 1131, 1930, 8834, 779, 7706, 547, 519, 4712, 5385, 540, 5370, 543, 1702, 609, 519, 4639, 269, 1677, 519, 5087, 267, 519, 27397, 729, 13856, 676, 13888, 16250, 22486, 9527, 525, 282, 547, 519, 5045, 519, 12228, 30689, 4371, 519, 4563, 7256, 543, 519, 14655, 6380, 822, 1749, 519, 595, 5684, 1014, 269, 1677, 1256, 14719, 622, 2112, 609, 971, 3532, 12543, 267, 8834, 2877, 16167, 543, 18793, 1851, 519, 3864, 16313, 338, 269, 1261, 1305, 856, 593, 1010, 968, 294, 8681, 21150, 29983, 892, 538, 476, 15433, 278, 547, 2744, 873, 563, 4407, 646, 4769, 1406, 8011, 538, 1010, 4566, 1107, 16550, 6576, 547, 979, 621, 4805, 609, 519, 5230, 30135, 1107, 8834, 1705, 1205, 547, 1294, 2342, 20250, 267, 689, 24545, 547, 5507, 547, 2274, 760, 345, 580, 547, 21499, 267, 543, 729, 679, 600, 1819, 269, 1261, 6594, 6928, 20761, 609, 519, 10656, 5101, 3127, 7577, 267, 543, 21534, 6928, 342, 23412, 543, 9378, 523, 547, 979, 547, 6576, 269, 1261, 6976, 513, 3643, 547, 519, 1340, 539, 12049, 518, 1731, 22859, 903, 577, 267, 945, 6026, 1864, 875, 547, 2721, 4522, 543, 2445, 17984, 269, 769, 4789, 267, 646, 1558, 609, 519, 4622, 543, 4121, 827, 968, 19640, 892, 2749, 4058, 538, 25480, 269, 10251, 267, 513, 27693, 676, 519, 6790, 331, 1206, 344, 3361, 8834, 547, 2759, 1010, 3864, 16314, 2110, 269, 27336, 1516, 1753, 267, 8834, 1185, 930, 476, 6344, 271, 540, 873, 12475, 3293, 543, 13401, 267, 543, 6368, 771, 7171, 539, 519, 8886, 908, 6790, 331, 1206, 344, 543, 2813, 513, 1007, 15875, 15050, 563, 10214, 1510, 16167, 267, 8834, 3893, 6576, 2377, 549, 6150, 538, 2112, 609, 519, 5695, 802, 269, 1809, 519, 12176, 540, 519, 4279, 8832, 2782, 7142, 1864, 547, 2097, 547, 513, 10151, 11063, 609, 873, 267, 4352, 646, 1705, 4383, 547, 13793, 5196, 9676, 10897, 990, 267, 513, 7580, 28183, 1141, 519, 5213, 5211, 7962, 625, 883, 519, 4563, 7256, 269, 2755, 519, 2717, 525, 543, 26403, 2103, 6854, 519, 16528, 4622, 543, 4108, 21184, 8176, 2473, 2862, 11112, 676, 12955, 513, 2603, 267, 8834, 3576, 16016, 9007, 1633, 593, 519, 27397, 689, 519, 9527, 525, 538, 476, 10204, 274, 543, 8547, 519, 2749, 540, 853, 269, 22642, 7921, 267, 30758, 547, 581, 519, 1007, 6739, 3854, 269, 1635, 519, 942, 8176, 3893, 2944, 1159, 4770, 519, 2717, 525, 267, 8834, 729, 4712, 585, 519, 16528, 12289, 269, 31853, 2685, 1427, 11661, 5045, 1189, 267, 3478, 17204, 21237, 267, 519, 28592, 6368, 4465, 741, 1390, 11802, 693, 2717, 339, 6072, 267, 3927, 10678, 519, 2112, 269, 769, 519, 1439, 267, 538, 476, 15094, 272, 267, 8834, 9715, 930, 8799, 1007, 23937, 547, 1010, 10504, 281, 700, 643, 8205, 267, 6480, 8205, 267, 16016, 6319, 543, 513, 8101, 6712, 540, 918, 732, 20377, 563, 30681, 519, 4279, 6170, 519, 1439, 540, 1010, 2395, 6963, 532, 1586, 269, 1261, 3576, 513, 1688, 538, 556, 6716, 1944, 519, 6739, 18179, 5783, 282, 950, 519, 2757, 2212, 540, 519, 5939, 267, 519, 24686, 1105, 540, 18293, 5747, 267, 519, 512, 338, 541, 15189, 547, 2012, 513, 10682, 607, 8912, 543, 3079, 2813, 513, 10513, 14271, 617, 547, 1827, 621, 269, 1656, 646, 2813, 606, 957, 602, 17246, 1228, 1022, 812, 547, 4283, 513, 27694, 1354, 519, 2085, 540, 476, 2004, 267, 18468, 602, 741, 11327, 1296, 941, 1373, 24906, 269, 1261, 9783, 513, 31885, 9591, 25471, 2069, 267, 27618, 519, 2244, 543, 7622, 9204, 630, 24392, 267, 1100, 16642, 18174, 267, 646, 1705, 20576, 513, 3542, 3454, 1070, 543, 3459, 519, 8834, 327, 1993, 20066, 585, 1010, 18939, 547, 2972, 269, 1261, 2760, 3893, 547, 1294, 621, 5128, 267, 12955, 538, 5988, 476, 15094, 276, 693, 519, 2085, 540, 476, 7367, 269, 0, 2005, 2488, 3063, 5567, 585, 519, 2030, 779, 2208, 543, 1272, 4783, 269, 898, 666, 849, 2333, 519, 3037, 779, 12588, 547, 11677, 1216, 269, 17667, 11396, 946, 1208, 639, 2094, 621, 568, 7768, 540, 10920, 19397, 3762, 267, 1776, 3114, 5114, 269, 9966, 639, 267, 799, 568, 1898, 547, 519, 3037, 267, 21356, 856, 519, 4527, 540, 3327, 543, 9436, 5223, 540, 519, 3037, 269, 898, 666, 849, 11677, 267, 4894, 610, 2539, 9830, 540, 14107, 1459, 538, 519, 3037, 630, 305, 5819, 5980, 540, 11061, 2676, 15228, 25027, 29318, 29318, 1106, 7681, 609, 824, 7103, 538, 799, 1312, 2249, 1205, 4324, 689, 1142, 824, 269, 901, 1826, 540, 7681, 568, 1572, 1623, 6798, 2670, 543, 4551, 616, 1572, 607, 1623, 25027, 4551, 269, 10020, 540, 1623, 25027, 4551, 538, 21193, 4088, 674, 1460, 566, 29318, 1404, 513, 1360, 1271, 1909, 538, 9436, 30651, 676, 8108, 7681, 609, 1082, 2713, 7103, 602, 2154, 9436, 547, 2743, 741, 2115, 269, 2368, 12205, 616, 2016, 2630, 538, 799, 4551, 948, 538, 9436, 30651, 269, 4107, 540, 9436, 30651, 568, 5645, 856, 676, 891, 4551, 563, 1103, 519, 3037, 267, 11379, 568, 8936, 547, 595, 4488, 610, 27433, 1063, 3037, 7777, 4494, 799, 568, 711, 18645, 547, 824, 12274, 538, 3037, 519, 3070, 899, 16903, 269, 15394, 16139, 1756, 21449, 622, 729, 3773, 547, 3037, 547, 3313, 5385, 762, 11379, 1317, 621, 3568, 1164, 5834, 540, 1776, 524, 566, 269, 634, 16139, 1756, 689, 519, 3070, 27605, 856, 11379, 1055, 519, 595, 4488, 543, 824, 5385, 4609, 543, 1287, 6027, 543, 1031, 547, 917, 519, 2179, 540, 11379, 602, 2139, 585, 2030, 1282, 3395, 454, 763, 11626, 9436, 616, 1500, 2139, 547, 519, 2371, 950, 9436, 21338, 4551, 610, 29127, 14113, 6378, 11626, 9436, 543, 6460, 873, 883, 20342, 630, 26822, 274, 264, 538, 519, 4527, 540, 9436, 848, 896, 1114, 2175, 971, 607, 267, 538, 10690, 7681, 609, 824, 7103, 267, 610, 538, 513, 1623, 25027, 6073, 609, 873, 269, 634, 1184, 17929, 11626, 9436, 568, 4389, 547, 20342, 538, 519, 4527, 540, 9436, 848, 630, 11398, 6923, 538, 14471, 642, 714, 269, 10910, 714, 984, 1756, 267, 1863, 2713, 10897, 582, 14385, 3092, 264, 568, 1572, 18143, 9436, 30651, 630, 8042, 293, 1040, 634, 1655, 1383, 585, 519, 1623, 25027, 454, 7072, 281, 16071, 11853, 568, 513, 1184, 1031, 676, 2371, 543, 1808, 2010, 540, 4551, 538, 1931, 547, 1118, 741, 1378, 1426, 2707, 689, 7943, 547, 3114, 1648, 269, 898, 568, 5631, 7018, 1369, 519, 3762, 540, 519, 2030, 269, 634, 5114, 3340, 1769, 1648, 538, 1931, 585, 621, 547, 581, 12842, 676, 28060, 269, 4438, 519, 5114, 3327, 8166, 267, 1216, 568, 10736, 883, 7280, 543, 5135, 607, 3254, 2630, 281, 7612, 476, 272, 630, 31688, 657, 11853, 3096, 1769, 1648, 547, 6460, 3327, 8166, 883, 513, 19346, 264, 630, 763, 11906, 17817, 540, 16071, 11853, 269, 476, 1001, 279, 267, 21700, 476, 1626, 4728, 476, 1001, 279, 264, 1703, 616, 1079, 2010, 540, 6337, 24678, 3157, 282, 835, 2882, 5135, 545, 15591, 267, 799, 568, 1034, 1455, 543, 7152, 998, 2371, 267, 13479, 543, 19826, 27627, 1247, 519, 824, 835, 568, 606, 268, 2135, 4723, 545, 15591, 563, 303, 21329, 650, 1756, 568, 835, 540, 891, 13271, 607, 922, 3653, 1587, 568, 1419, 10710, 543, 6738, 593, 31893, 10824, 269, 901, 568, 1317, 519, 6755, 545, 650, 1756, 3653, 1587, 666, 581, 1031, 607, 606, 15084, 269, 630, 5155, 27957, 264, 12113, 618, 619, 616, 11149, 602, 616, 1031, 547, 1332, 543, 3132, 891, 13271, 538, 1804, 5666, 269, 1924, 519, 13271, 666, 581, 1031, 593, 824, 1919, 971, 607, 1818, 6266, 540, 25095, 7821, 269, 12113, 618, 619, 1683, 513, 3501, 1858, 585, 13271, 547, 16196, 6385, 607, 789, 616, 538, 513, 5078, 1747, 585, 519, 1272, 3157, 540, 13271, 547, 581, 5340, 563, 1805, 558, 1092, 616, 22405, 4122, 1336, 593, 519, 9207, 728, 540, 3762, 540, 513, 2030, 630, 560, 558, 1092, 1353, 1040, 1452, 18784, 22405, 616, 513, 8574, 3118, 585, 3327, 8166, 547, 4283, 1247, 693, 519, 1482, 942, 1450, 1216, 543, 5135, 547, 581, 5950, 630, 828, 330, 2917, 1040, 12518, 991, 588, 558, 1092, 607, 789, 1450, 519, 2030, 547, 1491, 538, 3327, 8166, 267, 513, 2556, 851, 540, 15591, 630, 828, 330, 2917, 1040, 12518, 1930, 588, 558, 1092, 676, 741, 9856, 2281, 4092, 593, 2901, 2427, 540, 519, 588, 558, 1092, 630, 560, 558, 1092, 1353, 1040, 1452, 2281, 666, 2220, 749, 909, 547, 1930, 519, 588, 558, 1092, 610, 1219, 17218, 547, 2673, 873, 1055, 630, 828, 330, 2917, 264, 901, 568, 1271, 1317, 1022, 942, 588, 558, 1092, 616, 1930, 519, 2030, 786, 6336, 1216, 2059, 609, 5135, 630, 828, 330, 2917, 264, 1879, 2614, 3327, 8166, 814, 9411, 519, 588, 558, 1092, 267, 513, 2030, 786, 2673, 922, 588, 558, 1092, 865, 621, 666, 8190, 922, 1216, 543, 2061, 454, 5445, 616, 5363, 1317, 930, 4551, 616, 10920, 1842, 619, 1818, 5567, 2139, 585, 824, 7103, 689, 4666, 5214, 2339, 543, 689, 9657, 5567, 267, 789, 616, 24569, 513, 3666, 538, 519, 5117, 269, 769, 519, 1604, 267, 4551, 616, 849, 9436, 4368, 619, 267, 14291, 9436, 538, 519, 5790, 883, 9436, 7135, 602, 2371, 616, 2111, 547, 946, 585, 2208, 267, 4061, 789, 616, 1713, 20334, 547, 519, 9436, 4783, 269, 1323, 1383, 540, 513, 2030, 1131, 581, 22053, 267, 538, 799, 891, 2010, 540, 4551, 2661, 538, 741, 3597, 12162, 2737, 267, 23478, 873, 609, 9436, 7135, 585, 741, 2208, 269, 901, 568, 849, 606, 1383, 540, 513, 8994, 2065, 2078, 267, 1141, 1034, 2249, 1131, 2661, 538, 513, 2673, 2078, 609, 4551, 267, 4543, 873, 538, 6668, 543, 30364, 873, 689, 713, 2673, 6935, 269, 6270, 607, 267, 519, 661, 31815, 328, 4551, 602, 2661, 538, 938, 24026, 1141, 649, 1131, 1683, 873, 609, 513, 3636, 543, 513, 2922, 1747, 547, 2661, 267, 606, 11606, 540, 1426, 543, 513, 2707, 540, 6283, 543, 789, 1131, 1683, 721, 609, 8324, 543, 5567, 602, 649, 3112, 1118, 593, 938, 1378, 607, 1134, 607, 4543, 721, 7558, 938, 1426, 563, 7720, 626, 675, 8990, 568, 606, 1271, 13525, 540, 519, 13226, 1412, 338, 2298, 269, 715, 22021, 1543, 568, 8200, 593, 519, 2179, 540, 7509, 621, 3568, 269, 898, 568, 2556, 547, 20836, 519, 3732, 865, 602, 1710, 8864, 5551, 585, 519, 4603, 568, 6913, 269, 769, 713, 4603, 267, 28040, 574, 13011, 1505, 540, 2079, 729, 1031, 269, 3400, 341, 574, 13011, 2079, 568, 513, 1505, 602, 3322, 10511, 23550, 543, 20604, 519, 2527, 547, 3313, 875, 1454, 540, 513, 1978, 6219, 568, 1459, 563, 2691, 1818, 11003, 7401, 621, 568, 1271, 547, 917, 519, 6871, 540, 5135, 538, 519, 11003, 7401, 1317, 621, 786, 3313, 2436, 519, 11003, 7401, 786, 979, 20659, 610, 26103, 269, 27488, 568, 606, 1898, 2707, 540, 1272, 585, 20659, 7103, 269, 1306, 769, 724, 600, 630, 1001, 271, 264, 6045, 2073, 1729, 1205, 606, 7098, 730, 11003, 7401, 5135, 779, 1377, 1058, 581, 811, 982, 1018, 519, 7103, 8532, 267, 538, 824, 1913, 267, 1657, 476, 277, 653, 332, 267, 32047, 267, 713, 2179, 540, 5135, 786, 1683, 606, 1604, 585, 7098, 984, 525, 971, 607, 645, 26808, 543, 15554, 14137, 553, 799, 616, 3810, 1271, 585, 3037, 547, 8853, 269, 6271, 1271, 1448, 547, 2446, 267, 547, 1102, 2224, 5135, 883, 11003, 7401, 596, 1058, 946, 11164, 4565, 619, 602, 1683, 1507, 2011, 18616, 269, 4595, 267, 519, 4130, 519, 18616, 267, 519, 811, 5135, 568, 11843, 883, 1216, 269, 0, 288, 795, 12127, 1177, 11015, 666, 2709, 1360, 1279, 6441, 784, 9434, 18399, 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, 769, 519, 7706, 540, 11174, 5708, 267, 1920, 3347, 19582, 513, 1713, 1747, 538, 5935, 1762, 3988, 262, 5380, 827, 741, 1378, 3885, 543, 6848, 6788, 269, 2859, 4481, 267, 2385, 30512, 3347, 1419, 4196, 607, 519, 5127, 13702, 2390, 799, 891, 6386, 616, 3710, 269, 7917, 589, 269, 26081, 548, 514, 267, 513, 30508, 2257, 5708, 2278, 267, 7710, 1585, 3344, 540, 891, 6384, 1369, 1010, 1568, 269, 2290, 971, 2460, 602, 26350, 3007, 568, 519, 24575, 540, 834, 13133, 1399, 8695, 257, 538, 26081, 548, 514, 781, 2984, 1107, 3197, 945, 4161, 2757, 4008, 8155, 1247, 10188, 1950, 22686, 13218, 269, 901, 3184, 12538, 883, 519, 14960, 540, 971, 11269, 676, 7421, 17677, 10060, 543, 824, 4143, 5931, 998, 519, 7828, 540, 4207, 5717, 4478, 4008, 5714, 640, 543, 1875, 935, 845, 640, 780, 2414, 2253, 267, 1577, 721, 4983, 519, 1523, 540, 834, 13133, 1399, 8695, 2437, 3226, 607, 621, 25701, 547, 26081, 548, 514, 781, 17677, 10060, 269, 2311, 1101, 16145, 267, 519, 16502, 22784, 333, 15605, 590, 3240, 1492, 1522, 2408, 25710, 16375, 547, 713, 11008, 1436, 1813, 547, 1010, 27726, 27828, 543, 11315, 16538, 269, 1717, 267, 2899, 646, 17648, 519, 3961, 540, 3627, 9478, 12844, 3228, 324, 267, 513, 12021, 2797, 4137, 267, 1010, 2168, 7004, 8761, 513, 811, 10347, 2427, 269, 1306, 12844, 3228, 324, 267, 590, 3240, 1492, 546, 976, 17539, 267, 530, 12127, 267, 543, 17715, 7802, 547, 2226, 519, 21903, 540, 1373, 519, 1347, 29487, 6205, 269, 3414, 713, 23009, 2670, 267, 26081, 548, 514, 2591, 6671, 5898, 4441, 543, 7512, 3988, 547, 2243, 2436, 12926, 21522, 7592, 666, 30598, 32069, 609, 4222, 543, 5718, 7907, 780, 1607, 26841, 24889, 7184, 609, 2413, 7391, 1472, 6757, 27828, 543, 922, 17672, 2360, 593, 2790, 1072, 269, 1635, 9306, 513, 5256, 1291, 945, 5088, 806, 1312, 13438, 543, 6043, 267, 26081, 548, 514, 1016, 591, 1206, 14461, 4008, 5107, 543, 11942, 606, 8537, 1604, 1141, 3309, 7215, 540, 812, 3125, 616, 9976, 2864, 982, 588, 25634, 1242, 269, 5015, 267, 713, 6041, 2636, 585, 1930, 11407, 3823, 519, 1764, 540, 6848, 12503, 593, 15730, 9038, 267, 20872, 873, 547, 556, 24834, 10663, 26608, 18727, 18765, 540, 1018, 621, 1797, 547, 581, 513, 834, 2006, 257, 538, 2221, 781, 1158, 780, 5194, 8903, 25246, 540, 17677, 10060, 6013, 538, 922, 6514, 540, 9772, 633, 30822, 11856, 269, 16270, 14322, 12844, 3228, 324, 781, 1268, 320, 267, 590, 3240, 1492, 9100, 1080, 513, 1147, 5766, 622, 1920, 9967, 540, 12844, 3228, 324, 781, 7385, 267, 8402, 320, 267, 543, 741, 1453, 269, 10801, 519, 1650, 267, 590, 3240, 1492, 12066, 956, 609, 519, 9021, 2404, 609, 4651, 3125, 1247, 849, 12394, 547, 6330, 1010, 16012, 21239, 543, 1379, 269, 901, 6422, 12651, 2565, 2055, 827, 519, 2470, 540, 737, 29023, 543, 10362, 267, 6038, 25967, 1681, 519, 4644, 540, 2648, 267, 1489, 267, 543, 10114, 4269, 538, 8108, 2178, 22686, 7554, 780, 1103, 1840, 547, 17677, 10060, 267, 26081, 548, 514, 781, 4464, 547, 31187, 853, 25973, 517, 781, 2696, 7853, 2488, 2417, 5813, 883, 4244, 3029, 540, 2385, 30512, 3347, 269, 769, 713, 960, 267, 519, 3134, 11345, 1915, 5713, 607, 513, 5289, 3391, 585, 513, 1762, 8004, 3957, 8349, 710, 267, 5356, 1200, 24176, 9624, 2123, 24187, 269, 2755, 711, 31127, 1644, 267, 2696, 7853, 3252, 607, 513, 29660, 1790, 1861, 531, 4137, 945, 791, 11301, 7326, 543, 8843, 14955, 6463, 15754, 609, 8349, 710, 1282, 1200, 942, 540, 991, 269, 901, 2078, 25186, 6093, 1973, 13218, 267, 11744, 602, 6209, 4296, 666, 8915, 3544, 2757, 10850, 780, 28757, 1382, 7028, 519, 10206, 602, 2318, 1909, 3631, 899, 2696, 7853, 1404, 1898, 5107, 538, 6107, 1646, 269, 4340, 547, 513, 1353, 3370, 538, 519, 4750, 540, 15272, 4886, 267, 23003, 1765, 18485, 6101, 543, 13016, 1765, 4754, 3648, 3310, 4081, 9740, 267, 1514, 16169, 267, 543, 1582, 12635, 1851, 10708, 630, 291, 340, 289, 12251, 1696, 620, 1421, 476, 1001, 272, 1040, 4935, 267, 26081, 548, 514, 781, 8561, 593, 4244, 15637, 11363, 519, 2956, 540, 14237, 11215, 5054, 20009, 547, 2635, 2208, 543, 30553, 780, 11101, 267, 6313, 891, 4798, 1369, 26081, 548, 514, 781, 522, 324, 12320, 516, 6087, 3988, 547, 4497, 9691, 609, 6626, 1914, 19205, 2152, 7282, 11806, 266, 2924, 543, 10343, 269, 1280, 3236, 267, 2487, 15424, 12959, 936, 19880, 12014, 543, 7503, 3797, 5031, 5571, 9620, 5185, 676, 20210, 2043, 5275, 6284, 543, 15418, 269, 1635, 6220, 13857, 11269, 540, 4008, 4082, 543, 5714, 640, 883, 1010, 6386, 267, 26081, 548, 514, 8309, 547, 6626, 2686, 19929, 6322, 693, 24905, 1782, 25641, 2853, 543, 5009, 13784, 780, 1103, 3932, 267, 606, 2079, 540, 834, 13133, 1399, 8695, 257, 538, 26081, 548, 514, 781, 2984, 3091, 3407, 4030, 883, 1950, 2385, 30512, 3347, 543, 741, 6286, 585, 11174, 3332, 269, 3414, 6297, 7156, 540, 5931, 899, 17677, 10060, 543, 2696, 7853, 267, 1053, 666, 15052, 741, 7071, 585, 875, 4589, 20920, 609, 10296, 1514, 4145, 1247, 8195, 4101, 31737, 19237, 4478, 4008, 2773, 543, 22686, 3889, 269, 11086, 267, 2502, 609, 891, 4798, 27862, 938, 7104, 1620, 540, 8103, 781, 4390, 585, 6568, 267, 9542, 267, 543, 2208, 2066, 3309, 8658, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3891, 514, 548, 514, 24153, 779, 17564, 6828, 454, 32637, 476, 1556, 268, 3066, 268, 1220, 272, 476, 280, 281, 876, 623, 8160, 269, 29643, 454, 8072, 303, 4958, 1399, 27258, 685, 538, 26081, 548, 514, 454, 2080, 10670, 634, 589, 12171, 13034, 269, 2022, 902, 454, 17472, 2316, 4753, 5508, 631, 7417, 16249, 454, 15578, 681, 15477, 12224, 589, 269, 16777, 2562, 4041, 2562, 30426, 5058, 717, 4629, 16810, 454, 291, 919, 543, 2053, 281, 13628, 267, 5437, 476, 3066, 267, 476, 1220, 272, 267, 476, 280, 6751, 547, 28813, 267, 29643, 282, 543, 14349, 267, 5412, 476, 272, 267, 1220, 272, 267, 476, 276, 547, 476, 279, 6751, 267, 29643, 454, 314, 9616, 281, 713, 568, 1614, 267, 10691, 1079, 4374, 1055, 267, 547, 2057, 519, 1977, 21175, 31054, 24358, 30942, 3213, 3620, 739, 281, 291, 523, 529, 21537, 529, 1496, 288, 8379, 5496, 2012, 281, 968, 13640, 611, 529, 25002, 892, 2639, 20278, 281, 2201, 1899, 538, 3642, 300, 5750, 3336, 968, 3891, 514, 548, 514, 22419, 6828, 10004, 7536, 8450, 267, 519, 5528, 593, 6424, 19159, 267, 29447, 10200, 338, 2985, 585, 23842, 267, 16459, 543, 1210, 3642, 300, 3301, 267, 693, 454, 763, 1889, 281, 892, 303, 4958, 1399, 27258, 538, 26081, 548, 514, 2984, 7536, 5649, 902, 281, 22873, 6053, 267, 519, 3209, 9041, 291, 19302, 10060, 318, 267, 855, 594, 8910, 581, 5423, 585, 1896, 1866, 269, 16952, 6700, 2542, 281, 26081, 548, 514, 779, 4464, 547, 31187, 853, 25973, 517, 779, 9041, 18661, 7853, 318, 543, 519, 3209, 3294, 563, 763, 1985, 17241, 295, 5025, 8379, 10004, 786, 2263, 513, 6249, 7231, 609, 18572, 563, 13706, 713, 281, 4749, 267, 593, 19200, 295, 543, 11992, 267, 930, 723, 9228, 513, 10638, 267, 606, 796, 337, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21122, 16644, 843, 17716, 630, 11854, 6900, 12983, 17983, 607, 851, 540, 834, 16300, 16337, 1315, 7731, 1315, 14268, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 11477, 3460, 883, 519, 1158, 540, 19994, 5443, 328, 543, 966, 13873, 5942, 546, 636, 31958, 256, 1452, 8949, 13000, 2097, 2786, 689, 519, 2295, 540, 6576, 267, 1141, 789, 3180, 513, 2027, 1747, 538, 1004, 781, 12271, 543, 7181, 338, 269, 1306, 649, 2263, 741, 17705, 22556, 267, 1577, 781, 1451, 827, 930, 4241, 3344, 540, 6739, 2528, 2059, 519, 1259, 780, 5575, 1919, 1101, 910, 1018, 616, 10652, 5443, 328, 543, 642, 13873, 5942, 286, 1358, 2811, 2010, 540, 546, 636, 31958, 2442, 2429, 8109, 2342, 855, 2523, 6068, 538, 6576, 269, 5994, 11116, 13355, 533, 537, 2583, 4904, 609, 5023, 22476, 5820, 899, 5779, 267, 5388, 267, 10381, 267, 610, 1256, 4829, 256, 8786, 267, 596, 4862, 621, 1318, 282, 972, 616, 6653, 8747, 1932, 256, 2913, 781, 4685, 4514, 883, 1142, 835, 780, 1262, 303, 5085, 300, 2894, 296, 26279, 4322, 2370, 1612, 26118, 540, 7772, 22132, 689, 27584, 4997, 267, 1141, 17137, 5156, 602, 10652, 5443, 328, 1223, 22036, 10792, 24475, 1813, 547, 741, 14859, 344, 16538, 543, 3636, 11423, 269, 12465, 10652, 5443, 328, 2874, 540, 1295, 1027, 5779, 630, 21865, 14132, 267, 20230, 267, 610, 23758, 264, 20386, 538, 6094, 267, 25793, 822, 2989, 14859, 269, 4495, 11273, 267, 789, 1831, 13035, 2849, 17632, 3501, 585, 1793, 584, 4771, 909, 609, 26185, 610, 1821, 28666, 1159, 6139, 1042, 538, 11877, 8645, 267, 16693, 267, 610, 28401, 269, 962, 636, 2439, 1262, 309, 2752, 2894, 31082, 296, 26279, 309, 13873, 5942, 30339, 689, 12907, 855, 941, 3533, 7550, 676, 28592, 945, 7948, 1405, 5706, 741, 19259, 269, 9521, 10652, 5443, 328, 267, 642, 13873, 5942, 666, 4183, 1312, 29902, 543, 6653, 30836, 269, 2368, 1455, 5079, 616, 15837, 267, 22648, 267, 10027, 1845, 267, 610, 30207, 1107, 2911, 827, 11684, 256, 1879, 5423, 12926, 267, 29397, 14974, 873, 2394, 789, 10581, 267, 1287, 3443, 1922, 787, 873, 2394, 11344, 6960, 585, 3773, 29511, 1465, 269, 5548, 880, 2439, 3086, 267, 1934, 2501, 519, 1187, 851, 1107, 1818, 707, 1378, 10652, 5443, 328, 543, 642, 13873, 5942, 256, 5192, 4712, 547, 5066, 909, 1346, 19492, 1407, 543, 8756, 707, 6418, 27697, 269, 1411, 3513, 991, 2596, 10051, 2645, 899, 26633, 267, 838, 9398, 267, 12902, 8930, 267, 543, 5310, 513, 9252, 518, 952, 596, 1616, 547, 1205, 16681, 269, 1656, 1810, 1405, 5855, 827, 3190, 532, 909, 282, 2259, 2306, 3501, 267, 7132, 3025, 14560, 4543, 856, 1282, 5986, 942, 2439, 2026, 596, 1711, 891, 17175, 8286, 267, 1491, 513, 4090, 547, 5660, 519, 3638, 1686, 3297, 873, 269, 3807, 899, 875, 1114, 4525, 1369, 6576, 723, 2189, 2081, 540, 8600, 10652, 5443, 328, 543, 642, 13873, 5942, 267, 865, 1281, 1169, 1920, 723, 922, 5728, 11600, 5293, 1524, 998, 5481, 269, 5253, 13462, 721, 782, 267, 10489, 2056, 10665, 543, 6214, 267, 1175, 607, 713, 1576, 6663, 547, 798, 780, 3383, 979, 6619, 267, 2285, 10652, 5443, 328, 543, 642, 13873, 5942, 513, 2119, 256, 3502, 1152, 786, 596, 32696, 538, 32727, 696, 1190, 22655, 267, 855, 596, 3513, 849, 7832, 593, 513, 2686, 7045, 2066, 6576, 543, 3564, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2419, 3183, 593, 13163, 322, 6483, 454, 13750, 4354, 2125, 593, 18763, 6406, 5980, 2920, 13659, 454, 7021, 519, 2250, 5216, 1296, 267, 519, 6739, 2229, 896, 5518, 32157, 30922, 814, 7722, 538, 3646, 547, 14020, 3564, 6284, 519, 11974, 543, 21356, 7915, 538, 513, 5963, 11180, 2797, 1062, 269, 589, 2487, 2460, 540, 891, 3646, 814, 1044, 513, 3609, 547, 1641, 6576, 781, 7524, 3540, 2486, 547, 3152, 22987, 543, 1852, 267, 998, 513, 476, 1220, 277, 1876, 602, 3947, 519, 2229, 3376, 7060, 547, 10038, 519, 2238, 540, 562, 784, 21194, 3906, 630, 7582, 11675, 1040, 634, 2229, 814, 849, 1031, 824, 3800, 267, 971, 607, 519, 29567, 476, 1220, 273, 4550, 268, 2169, 8145, 1143, 1876, 543, 513, 3099, 540, 11889, 6042, 267, 547, 3077, 3906, 602, 960, 593, 11786, 2152, 267, 949, 581, 5827, 540, 27647, 1944, 1857, 29926, 267, 610, 602, 4309, 4914, 7616, 269, 901, 1867, 6054, 519, 1351, 4592, 633, 1764, 519, 476, 1220, 277, 1876, 543, 824, 2229, 3800, 723, 1185, 593, 3540, 2486, 538, 6576, 269, 898, 9727, 875, 891, 4507, 616, 6322, 693, 4617, 2287, 2565, 9739, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 601, 5443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 22145, 268, 9826, 271, 17821, 2838, 267, 476, 8099, 268, 22145, 268, 9826, 276, 5358, 8689, 543, 3135, 8689, 21800, 9000, 267, 476, 8099, 268, 22145, 268, 18089, 277, 769, 5562, 4567, 1765, 14157, 27035, 543, 10151, 19479, 267, 476, 8099, 268, 22145, 268, 16573, 271, 1133, 997, 10234, 3292, 267, 476, 8099, 268, 22145, 268, 16573, 276, 26133, 543, 23614, 3292, 267, 476, 8099, 268, 22145, 268, 19740, 271, 715, 1180, 4593, 19303, 267, 476, 8099, 268, 22145, 268, 25484, 276, 7731, 12352, 543, 2792, 267, 476, 8099, 268, 22145, 268, 18089, 271, 4937, 5234, 20340, 267, 476, 8099, 268, 22145, 268, 18089, 276, 3465, 16291, 4170, 267, 476, 8099, 268, 22145, 268, 18089, 277, 9751, 4170, 267, 476, 8099, 268, 22145, 268, 18089, 278, 769, 28129, 2866, 267, 476, 8099, 268, 22145, 268, 18733, 271, 5358, 1759, 5234, 4507, 543, 2866, 267, 476, 8099, 268, 22145, 268, 18733, 272, 16065, 23388, 267, 476, 8099, 268, 22145, 268, 18733, 276, 16065, 5638, 267, 476, 8099, 268, 22145, 268, 23713, 271, 21278, 585, 2123, 267, 3318, 267, 543, 1072, 2115, 540, 5234, 267, 476, 8099, 268, 22145, 268, 25320, 271, 1473, 3233, 1153, 21943, 1982, 2230, 267, 476, 8099, 268, 22145, 268, 25320, 276, 13705, 710, 1416, 267, 1404, 267, 1565, 267, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17809, 11107, 281, 8131, 631, 3696, 31072, 11233, 23994, 267, 29960, 14904, 593, 5046, 268, 866, 454, 1103, 713, 2034, 3888, 618, 540, 1010, 5967, 267, 20999, 918, 2129, 267, 11022, 267, 12463, 295, 267, 11828, 519, 2956, 540, 7426, 543, 1072, 1416, 4600, 9849, 3068, 13968, 1282, 741, 4205, 609, 2550, 563, 11073, 2515, 540, 513, 6413, 4259, 267, 7426, 949, 1616, 547, 2015, 9849, 3068, 13968, 950, 7487, 2550, 269, 634, 2551, 540, 28105, 11452, 476, 1001, 280, 630, 26542, 268, 866, 264, 2550, 568, 1454, 3677, 982, 4397, 269, 20900, 674, 879, 857, 267, 11022, 267, 8689, 540, 519, 2817, 4659, 540, 30665, 543, 29956, 15302, 1767, 4505, 713, 3018, 602, 1004, 609, 5046, 268, 866, 27109, 1100, 2589, 568, 12341, 1063, 476, 736, 260, 268, 2412, 10065, 901, 9727, 602, 972, 568, 865, 1454, 10462, 827, 519, 1259, 519, 3644, 31136, 543, 25040, 602, 972, 568, 865, 1454, 811, 547, 1451, 563, 4415, 971, 513, 1804, 6871, 540, 1004, 945, 616, 28105, 267, 713, 1223, 1291, 547, 513, 1297, 540, 1004, 26968, 5944, 23142, 519, 3644, 547, 1866, 563, 4415, 713, 1620, 543, 513, 521, 580, 514, 881, 656, 8561, 593, 6604, 267, 20999, 918, 2129, 267, 11022, 267, 12463, 295, 267, 568, 606, 12167, 585, 1312, 7426, 543, 2550, 9849, 3068, 13968, 269, 918, 2129, 568, 519, 29542, 966, 269, 20963, 6199, 7905, 540, 519, 6657, 540, 5398, 2657, 15557, 693, 519, 12370, 570, 13034, 269, 26960, 3427, 540, 5398, 2657, 543, 519, 17394, 3427, 269, 918, 2129, 849, 6039, 607, 519, 19608, 14199, 585, 2657, 585, 519, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 1369, 519, 15525, 7245, 563, 1103, 519, 2034, 3888, 618, 540, 1010, 5967, 609, 2552, 698, 542, 10378, 267, 918, 2129, 11828, 519, 2956, 540, 7426, 543, 1072, 1416, 4600, 9849, 13968, 1282, 741, 4205, 609, 2550, 543, 2348, 6024, 5717, 609, 2550, 593, 6604, 269, 0, 1692, 1082, 17552, 641, 26696, 538, 476, 272, 4893, 641, 1180, 4882, 13645, 1298, 22015, 516, 888, 763, 2626, 568, 476, 280, 269, 3199, 277, 4792, 292, 266, 1626, 563, 2171, 8263, 596, 616, 14291, 1063, 17552, 641, 26696, 543, 4893, 641, 1180, 4882, 13645, 1298, 22015, 516, 563, 2791, 666, 2070, 811, 3877, 593, 1142, 6482, 1770, 912, 30679, 641, 26696, 610, 4893, 641, 1180, 4882, 13645, 1298, 22015, 516, 454, 763, 16038, 6508, 1770, 585, 2604, 568, 519, 533, 26696, 563, 272, 533, 26696, 568, 3160, 547, 476, 1911, 1822, 1822, 1822, 271, 17552, 641, 26696, 267, 610, 476, 272, 269, 25171, 278, 1626, 18891, 280, 6507, 280, 292, 268, 276, 4893, 641, 1180, 4882, 13645, 1298, 22015, 516, 563, 9616, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 17552, 641, 2444, 1023, 543, 4893, 641, 4637, 4882, 13645, 1298, 9014, 563, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 4893, 641, 1180, 4882, 13645, 1298, 22015, 516, 547, 17552, 641, 26696, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 30679, 641, 26696, 547, 1232, 3218, 337, 454, 30679, 641, 26696, 547, 803, 1146, 1168, 2023, 4882, 13645, 11281, 454, 30679, 641, 26696, 547, 4893, 821, 342, 2023, 4882, 13645, 11281, 454, 30679, 641, 26696, 547, 737, 760, 4882, 13645, 10759, 454, 30679, 641, 26696, 547, 25050, 16035, 454, 30679, 641, 26696, 547, 1232, 756, 541, 454, 30679, 641, 26696, 547, 9522, 4882, 13645, 10759, 454, 30679, 641, 26696, 547, 586, 2714, 777, 26696, 454, 30679, 641, 26696, 547, 9522, 4882, 13645, 11281, 454, 30679, 641, 26696, 547, 608, 777, 26696, 454, 763, 16038, 18772, 834, 335, 4815, 257, 4564, 513, 3815, 540, 476, 1015, 268, 1321, 267, 610, 538, 12825, 10035, 267, 476, 272, 292, 268, 1321, 563, 3383, 476, 272, 17552, 641, 26696, 815, 476, 1015, 268, 1321, 533, 2444, 1023, 563, 763, 4214, 540, 513, 533, 26696, 568, 607, 5205, 912, 763, 533, 26696, 630, 32188, 14529, 264, 568, 519, 16038, 1770, 540, 2604, 20193, 568, 6697, 547, 835, 1007, 2023, 829, 4009, 25451, 269, 634, 1770, 568, 3957, 1310, 2349, 320, 1047, 623, 26696, 267, 519, 900, 5799, 3943, 22301, 267, 21997, 543, 14544, 563, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 763, 31118, 540, 19296, 540, 519, 9576, 13814, 8136, 786, 1711, 513, 1699, 4786, 540, 519, 6532, 779, 14099, 543, 5989, 689, 4989, 476, 1015, 547, 476, 2190, 269, 901, 4786, 786, 4196, 607, 606, 5351, 538, 16646, 538, 519, 2680, 540, 513, 2104, 2067, 9568, 971, 607, 513, 19996, 563, 4263, 519, 7662, 540, 519, 590, 842, 8575, 6914, 6554, 267, 519, 8030, 267, 3366, 676, 476, 1724, 8752, 23394, 1228, 267, 786, 2932, 11028, 18590, 547, 4786, 519, 6532, 779, 14099, 543, 5989, 269, 1403, 513, 2067, 9568, 4386, 538, 519, 2104, 267, 519, 4786, 786, 1118, 621, 2009, 547, 6385, 543, 7561, 3313, 519, 3441, 543, 3927, 1683, 519, 6595, 6351, 2838, 563, 1103, 5181, 476, 1001, 278, 267, 519, 12144, 851, 540, 519, 8003, 540, 519, 13814, 267, 3226, 590, 842, 8575, 6914, 267, 729, 10599, 1229, 676, 23587, 7054, 2742, 269, 6554, 5238, 267, 1875, 3766, 21194, 14540, 630, 7582, 11675, 264, 543, 519, 20237, 13539, 723, 2094, 8329, 15186, 547, 519, 11865, 540, 6595, 6351, 543, 16646, 269, 2755, 7054, 2742, 729, 711, 519, 1101, 2067, 9568, 630, 327, 584, 21814, 267, 16767, 543, 20016, 600, 529, 264, 547, 10880, 519, 12144, 267, 621, 729, 676, 2484, 519, 10782, 538, 2487, 1296, 563, 763, 31118, 540, 19296, 1491, 519, 4316, 547, 26821, 1983, 538, 513, 1483, 3734, 4259, 269, 634, 6662, 568, 547, 5721, 1346, 945, 616, 25461, 609, 11653, 11028, 18590, 269, 634, 4108, 10986, 786, 2951, 538, 4108, 7833, 1210, 19742, 6472, 269, 1358, 786, 581, 2369, 529, 762, 1317, 540, 741, 4108, 7802, 855, 267, 547, 6922, 1047, 1022, 28842, 1466, 547, 1004, 543, 519, 1604, 267, 786, 711, 946, 5230, 4108, 6472, 269, 570, 716, 673, 2866, 786, 711, 1491, 1747, 269, 4475, 267, 9604, 543, 630, 10177, 1456, 264, 993, 32099, 786, 711, 581, 1031, 269, 0, 5938, 996, 543, 595, 20654, 919, 281, 5948, 609, 11485, 540, 22484, 454, 303, 17123, 269, 22484, 2049, 4122, 538, 12908, 12278, 5095, 543, 19888, 4275, 29087, 3310, 741, 1272, 267, 24896, 267, 543, 9019, 269, 634, 2832, 540, 713, 1353, 729, 547, 5659, 519, 7681, 1063, 519, 1297, 540, 4522, 1459, 1851, 519, 11361, 2551, 543, 23656, 919, 538, 6935, 547, 519, 1981, 540, 8813, 269, 10049, 543, 10613, 269, 901, 1353, 729, 5342, 693, 1585, 2025, 2085, 5321, 538, 519, 28822, 836, 9503, 3148, 540, 17111, 5473, 519, 12908, 12278, 2551, 9907, 476, 2568, 1296, 543, 1657, 269, 589, 2143, 18102, 9967, 540, 1124, 1675, 655, 4919, 1239, 1519, 3023, 267, 2085, 267, 7622, 4747, 267, 543, 5959, 4632, 971, 607, 519, 1297, 540, 4522, 543, 21400, 7411, 729, 5833, 269, 634, 570, 6839, 16210, 1449, 630, 22721, 264, 729, 1031, 547, 6218, 519, 2550, 685, 2702, 547, 3802, 267, 547, 2226, 2022, 1116, 3666, 267, 543, 547, 3313, 741, 1981, 540, 9991, 269, 634, 2110, 4528, 540, 519, 15168, 12278, 12870, 17361, 729, 1031, 547, 2708, 4965, 1851, 519, 5171, 267, 543, 519, 19258, 3559, 17361, 729, 1031, 547, 5659, 519, 1641, 779, 2702, 547, 1685, 519, 2238, 540, 3232, 2713, 630, 4696, 299, 1040, 11778, 269, 6465, 12264, 1713, 7681, 729, 4767, 538, 6935, 547, 519, 1297, 540, 4522, 1459, 543, 1981, 540, 8813, 630, 1040, 23527, 945, 1185, 476, 866, 4522, 610, 1447, 538, 2698, 1185, 9793, 547, 5207, 1981, 540, 8813, 20465, 538, 6476, 609, 5396, 945, 1185, 476, 736, 4522, 610, 811, 269, 8409, 9907, 476, 3583, 1296, 543, 1657, 4951, 519, 5207, 1981, 540, 8813, 20465, 538, 6476, 609, 519, 5396, 9907, 1063, 476, 2568, 543, 476, 7597, 1296, 269, 23527, 609, 4965, 20465, 543, 4527, 540, 4576, 1644, 547, 2887, 4951, 19250, 1713, 3017, 20465, 538, 6476, 609, 1346, 945, 1705, 711, 7985, 689, 519, 1482, 269, 3281, 668, 2213, 5084, 299, 20465, 630, 6518, 3769, 2702, 547, 1685, 1896, 4247, 899, 11255, 10688, 267, 16246, 24383, 267, 16003, 946, 267, 543, 8023, 264, 543, 1970, 10865, 4747, 20465, 729, 849, 4767, 1851, 5396, 945, 1185, 2362, 1981, 540, 8813, 269, 10390, 269, 4340, 547, 519, 2164, 6913, 267, 972, 729, 513, 1164, 19250, 1713, 7681, 4767, 1063, 519, 1297, 540, 4522, 1459, 267, 2085, 267, 4965, 267, 5084, 299, 267, 543, 4527, 540, 4576, 538, 6935, 547, 519, 1981, 540, 9991, 1851, 519, 12908, 12278, 2551, 269, 9747, 1721, 628, 267, 5711, 14317, 540, 11361, 2550, 609, 1447, 1297, 540, 4522, 949, 2569, 741, 1981, 540, 8813, 563, 6097, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 8813, 616, 3989, 607, 968, 514, 30541, 1836, 4947, 547, 1964, 593, 519, 2666, 267, 6989, 610, 824, 2539, 1377, 267, 27195, 18532, 1689, 538, 2990, 547, 1964, 538, 11647, 267, 3774, 610, 824, 3615, 892, 1547, 22484, 723, 1044, 4080, 547, 581, 513, 1455, 1966, 1851, 4587, 1004, 543, 666, 581, 519, 2014, 540, 24896, 543, 9019, 1851, 519, 2663, 1547, 5549, 2064, 540, 8813, 540, 4587, 1004, 568, 2810, 609, 2810, 2085, 543, 609, 2810, 9808, 14923, 543, 21341, 269, 26744, 569, 7264, 9363, 538, 519, 2025, 2085, 1753, 616, 5111, 1614, 2053, 811, 12155, 547, 9991, 538, 6476, 609, 1346, 9363, 538, 519, 2146, 282, 971, 8813, 1522, 1256, 1267, 538, 5642, 17795, 610, 6413, 16075, 4586, 293, 718, 13685, 949, 1267, 538, 12048, 17795, 267, 4745, 20247, 23148, 267, 2634, 5945, 267, 11132, 17795, 630, 3650, 7063, 1070, 2539, 17119, 640, 17795, 267, 2062, 1301, 11320, 2077, 17795, 267, 1208, 1968, 17795, 267, 10775, 270, 2675, 777, 983, 17795, 267, 4049, 22725, 518, 725, 267, 543, 824, 2571, 5160, 7063, 1496, 275, 267, 476, 276, 4940, 30272, 267, 8813, 949, 6615, 3232, 2238, 971, 607, 28876, 267, 8023, 267, 610, 19703, 543, 2333, 519, 1981, 540, 16075, 547, 513, 8808, 1753, 1547, 22484, 849, 2333, 519, 946, 540, 1279, 3856, 2564, 2533, 543, 2272, 585, 1713, 1416, 3790, 4586, 32391, 2188, 585, 2887, 7063, 723, 1044, 4857, 676, 513, 1297, 540, 2090, 799, 1331, 4587, 2085, 267, 3043, 5198, 267, 12263, 267, 6147, 15842, 341, 6018, 2068, 4965, 267, 1686, 540, 8813, 267, 543, 5631, 15717, 540, 4887, 4222, 543, 3666, 1496, 278, 1700, 280, 4940, 769, 2070, 540, 891, 1981, 2188, 267, 2887, 6604, 3292, 723, 1044, 5645, 856, 538, 519, 2250, 282, 2705, 267, 607, 789, 941, 23696, 267, 3606, 1981, 2188, 1590, 581, 11567, 4586, 763, 1297, 540, 11361, 1004, 1369, 513, 2551, 814, 1044, 4080, 547, 581, 8375, 538, 3384, 2477, 1519, 17111, 1547, 5915, 20802, 723, 6059, 602, 267, 676, 519, 1032, 476, 1708, 271, 267, 3592, 476, 1015, 260, 540, 14570, 1014, 2551, 786, 581, 476, 2568, 1296, 543, 1657, 476, 543, 10172, 949, 849, 723, 513, 17672, 1198, 593, 519, 5711, 8031, 543, 3252, 1547, 634, 11361, 616, 693, 2362, 1981, 540, 5312, 3676, 971, 607, 5959, 5563, 267, 22480, 11940, 657, 531, 15087, 267, 1535, 518, 739, 558, 807, 267, 543, 5711, 6596, 15633, 13296, 5694, 2530, 1813, 547, 1286, 625, 610, 27731, 2068, 814, 1044, 3622, 4080, 607, 519, 1034, 1455, 5711, 2783, 4586, 294, 836, 331, 4752, 814, 11567, 519, 2078, 540, 5959, 29473, 2424, 593, 22401, 543, 14302, 32278, 538, 1931, 547, 2226, 3666, 543, 16885, 334, 4003, 1547, 1160, 3064, 334, 4003, 540, 519, 8260, 1043, 2882, 519, 544, 2880, 2218, 16757, 1062, 543, 7202, 334, 531, 557, 6897, 28587, 630, 4883, 3569, 689, 519, 4645, 655, 1400, 8229, 264, 799, 1683, 10444, 3413, 5166, 3403, 547, 519, 3844, 8401, 1062, 3842 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1210, 606, 3662, 585, 10688, 6351, 563, 288, 15937, 6478, 454, 32381, 540, 519, 1826, 540, 2866, 596, 6430, 547, 946, 267, 2141, 2638, 585, 519, 13995, 540, 519, 1982, 543, 4648, 596, 3442, 676, 15388, 519, 2754, 998, 519, 26859, 17268, 4139, 3135, 910, 4179, 2517, 817, 626, 2331, 690, 7562, 1181, 1049, 3820, 270, 901, 3919, 5036, 519, 4441, 585, 6351, 2831, 267, 543, 30157, 267, 607, 1134, 607, 3246, 519, 4013, 1449, 585, 5243, 547, 581, 26886, 6796, 17268, 563, 2005, 568, 2565, 547, 1174, 602, 1256, 1498, 621, 568, 14427, 543, 942, 21791, 547, 979, 998, 782, 519, 11876, 3591, 2556, 547, 723, 606, 26886, 6796, 13928, 267, 621, 568, 5906, 543, 3352, 22529, 1043, 711, 547, 269, 1677, 2149, 519, 32537, 540, 519, 16981, 2551, 267, 14060, 543, 824, 1857, 4025, 616, 711, 4847, 547, 2243, 2436, 606, 3662, 568, 26886, 610, 711, 267, 610, 1946, 789, 616, 2877, 269, 4746, 267, 972, 616, 3028, 2915, 642, 3949, 602, 666, 581, 11751, 2228, 1510, 6169, 602, 519, 23138, 568, 16981, 610, 519, 2915, 568, 26886, 269, 10251, 267, 713, 814, 3366, 547, 930, 1004, 705, 6748, 713, 1876, 607, 513, 1259, 540, 8744, 741, 10130, 2059, 547, 4025, 789, 1131, 711, 581, 15868, 269, 901, 2623, 12662, 26886, 3028, 2831, 693, 1981, 543, 12662, 1022, 16981, 1268, 538, 741, 25610, 538, 11991, 8594, 563, 288, 6796, 13928, 602, 9060, 513, 1480, 7649, 607, 6131, 607, 789, 616, 547, 581, 5812, 538, 741, 2866, 267, 21464, 538, 741, 17192, 543, 15754, 267, 543, 5059, 593, 835, 1776, 267, 786, 723, 513, 1732, 2298, 540, 1272, 1927, 982, 789, 2479, 1131, 723, 1185, 4805, 563, 2690, 811, 1344, 593, 6796, 12292, 267, 3643, 891, 2200, 912, 2690, 2123, 2984, 543, 547, 1921, 609, 519, 5411, 540, 6796, 12292, 267, 3643, 912, 295, 20087, 781, 9452, 281, 4179, 2517, 4178, 6155, 6839, 3820, 8276, 1897, 3613, 1559, 270, 14211, 6823, 24578, 7308, 3146, 5658, 762, 3613, 800, 6361, 8584, 3917, 537, 978, 2914, 2674, 2914, 603, 1790, 1824, 7146, 7308, 1673, 690, 6253, 520, 268, 651, 10134, 268, 615, 1606, 12522, 8573, 21172, 13045, 306, 16291, 17268, 585, 18161, 4811, 910, 4179, 2517, 4178, 269, 2183, 1504, 2593, 17320, 12952, 270, 8099, 13923, 271, 2537, 271, 5655, 279, 3953, 270, 910, 713, 568, 513, 6806, 9365, 1895, 267, 855, 952, 596, 6494, 873, 513, 5048, 547, 6443, 610, 547, 1205, 811, 9623, 267, 789, 616, 1360, 17841, 563, 272, 269, 8549, 543, 3557, 4031, 3823, 6796, 12292, 666, 581, 1336, 693, 4179, 2517, 639, 553, 969, 5367, 690, 2958, 626, 1674, 2593, 4882, 16291, 1673, 690, 15581, 2000, 9155, 13045, 273, 269, 769, 4686, 2665, 267, 519, 5084, 288, 786, 1450, 585, 513, 20538, 7504, 547, 581, 14468, 607, 513, 6796, 10960, 269, 4179, 2517, 20631, 3820, 11721, 26698, 270, 328, 13463, 731, 2173, 7236, 1155, 3620, 8503, 268, 732, 15926, 30872, 15515, 28129, 12845, 7769, 268, 3385, 2389, 4902, 454, 274, 269, 31650, 290, 6796, 13928, 9751, 476, 6200, 267, 4179, 2517, 4178, 269, 752, 322, 3820, 270, 1410, 13630, 14194, 341, 823, 270, 10177, 1456, 4882, 16291, 1673, 690, 13652, 1456, 268, 6200, 13045, 275, 269, 9751, 2659, 13574, 6796, 13928, 676, 681, 2135, 22828, 674, 584, 14075, 267, 5291, 2517, 4178, 269, 2908, 332, 984, 1006, 2593, 270, 1220, 277, 270, 1321, 270, 10177, 1456, 3917, 712, 268, 1144, 28129, 1673, 690, 13045, 276, 269, 968, 12749, 13928, 12243, 1740, 892, 689, 519, 2376, 9751, 2659, 13574, 6796, 13928, 676, 681, 2135, 22828, 674, 584, 14075, 5291, 2517, 4178, 269, 2908, 332, 984, 1006, 2593, 270, 1220, 277, 270, 1321, 270, 10177, 1456, 3917, 712, 268, 1144, 28129, 1673, 690, 13045, 277, 269, 6796, 13928, 9751, 267, 4934, 543, 6168, 4179, 2517, 339, 1117, 690, 718, 4800, 269, 553, 777, 8588, 2593, 270, 258, 17345, 27026, 2839, 284, 13199, 5325, 454, 3528, 595, 3559, 22855, 7108, 7322, 454, 25603, 8210, 514, 269, 2701, 814, 15421, 585, 1382, 543, 9423, 267, 1312, 540, 799, 5280, 1200, 14133, 538, 1200, 960, 607, 606, 3329, 894, 19784, 543, 5883, 9375, 540, 1896, 17476, 269, 1879, 1352, 3459, 1200, 4876, 267, 1352, 1705, 711, 917, 602, 891, 15421, 1131, 581, 3844, 547, 12423, 267, 538, 1200, 4571, 6253, 597, 2906, 267, 2565, 21904, 1519, 14806, 13228, 26096, 821, 630, 656, 756, 8438, 264, 13251, 7988, 2246, 517, 558, 807, 267, 5409, 611, 1066, 21544, 18161, 4811, 267, 543, 29302, 267, 602, 1500, 782, 519, 3017, 538, 1200, 1072, 563, 11293, 514, 779, 1650, 8843, 930, 1455, 2609, 609, 1082, 540, 938, 2833, 269, 2701, 1185, 513, 16190, 543, 4049, 5114, 547, 513, 1576, 540, 11216, 602, 2451, 1200, 609, 7839, 8229, 3441, 543, 4049, 9659, 269, 2701, 3459, 7680, 3665, 21994, 267, 535, 31021, 267, 512, 778, 344, 15258, 807, 267, 543, 24852, 269, 2701, 10272, 936, 15823, 7189, 538, 2789, 2829, 538, 13287, 540, 606, 2626, 269, 3509, 540, 519, 2757, 2564, 4255, 267, 971, 607, 1973, 960, 543, 11632, 18767, 267, 3357, 1394, 3339, 267, 543, 1896, 7189, 5143, 1200, 602, 1200, 2589, 941, 968, 718, 538, 1200, 2212, 892, 610, 3361, 676, 968, 3286, 4160, 1848, 6736, 891, 3318, 14962, 1023, 267, 8210, 514, 779, 1560, 4797, 547, 2995, 1200, 1945, 729, 1360, 4636, 269, 2701, 4553, 713, 15859, 602, 3366, 1200, 547, 3605, 7988, 2246, 517, 558, 807, 630, 663, 667, 2562, 4953, 256, 1070, 543, 1352, 3459, 547, 1921, 519, 15956, 540, 1200, 2589, 269, 3414, 1200, 1378, 1382, 267, 1352, 4857, 519, 10368, 7355, 585, 7988, 2246, 517, 558, 807, 543, 23647, 585, 1200, 1378, 4152, 269, 1323, 1620, 11719, 626, 15197, 1200, 26756, 267, 543, 4152, 9672, 602, 1200, 2589, 941, 519, 1587, 540, 7988, 2246, 517, 558, 807, 563, 4407, 3670, 3275, 568, 3670, 3275, 1932, 1279, 547, 3343, 606, 7778, 585, 1272, 17038, 18146, 2589, 267, 649, 917, 602, 8210, 514, 779, 10368, 1184, 568, 5266, 2110, 538, 519, 1158, 540, 7988, 2246, 517, 558, 807, 269, 594, 14487, 713, 547, 1200, 4557, 13369, 538, 1382, 543, 4250, 1652, 1582, 14194, 22106, 2329, 269, 16874, 1352, 711, 10692, 585, 1200, 1378, 21904, 543, 11967, 1200, 1560, 267, 1352, 949, 1869, 581, 10478, 585, 4267, 543, 2713, 538, 519, 5626, 8731, 618, 540, 519, 7164, 269, 2701, 15156, 585, 4824, 10368, 3157, 585, 7988, 2246, 517, 558, 807, 269, 4173, 1995, 540, 1373, 25323, 267, 4946, 11991, 5626, 11605, 547, 1200, 2907, 27676, 2589, 568, 1869, 1360, 4195, 269, 2701, 849, 7125, 585, 782, 540, 721, 547, 1871, 1346, 7189, 945, 616, 2178, 19700, 609, 1930, 2173, 785, 338, 563, 8512, 540, 8210, 514, 779, 4222, 568, 1373, 7925, 827, 1200, 6560, 538, 519, 1101, 1296, 540, 2713, 609, 1200, 2175, 269, 13405, 547, 519, 16190, 12614, 540, 1200, 2589, 267, 1352, 729, 513, 9241, 2914, 539, 693, 519, 1283, 540, 1200, 2361, 945, 6068, 547, 2951, 269, 13518, 540, 1200, 3961, 729, 1759, 593, 1200, 18517, 543, 979, 268, 1326, 614, 6497, 1275, 269, 2701, 8098, 1080, 602, 1352, 6170, 513, 7008, 540, 1296, 20494, 1324, 519, 2530, 540, 1200, 2025, 1582, 267, 799, 12936, 1200, 15508, 267, 14156, 267, 543, 32375, 269, 2701, 1185, 29047, 4555, 543, 20402, 1200, 4978, 1765, 25585, 798, 930, 1004, 1995, 28986, 543, 1866, 1810, 1406, 286, 8210, 514, 2141, 9763, 1200, 2828, 607, 1200, 1920, 543, 1287, 5433, 513, 26865, 689, 1082, 540, 873, 269, 2701, 20475, 930, 6568, 4724, 891, 2828, 1631, 267, 1620, 602, 1200, 9659, 949, 7618, 873, 540, 741, 1378, 9019, 563, 9213, 267, 8210, 514, 814, 3983, 2395, 543, 1732, 2395, 269, 2201, 2395, 602, 1352, 568, 5127, 3808, 267, 12194, 2627, 602, 1200, 3356, 532, 29302, 786, 2014, 1200, 547, 6336, 1599, 538, 930, 2127, 540, 1200, 1560, 269, 1717, 267, 1352, 568, 8362, 2324, 547, 4188, 547, 1200, 1007, 3339, 543, 11394, 14696, 585, 519, 1919, 602, 1352, 814, 269, 12344, 267, 1034, 11932, 267, 568, 4466, 19807, 269, 8210, 514, 568, 2324, 593, 8483, 1516, 519, 7189, 945, 1705, 711, 3494, 1200, 267, 543, 1352, 568, 2324, 593, 8483, 1516, 9887, 269, 6145, 8210, 514, 267, 1082, 540, 721, 4835, 1125, 11991, 1582, 15918, 877, 910, 6343, 1705, 594, 798, 547, 2014, 713, 286, 1548, 1223, 594, 723, 2944, 8335, 286, 1772, 621, 2731, 782, 538, 1250, 2212, 286, 2701, 568, 849, 2324, 593, 4466, 19807, 585, 1200, 2696, 543, 4466, 513, 2619, 4464, 609, 1200, 1378, 17035, 269, 4173, 2635, 19773, 19595, 1200, 602, 10343, 568, 513, 1184, 269, 8210, 514, 849, 17099, 519, 2178, 1489, 1352, 11392, 689, 1200, 9393, 607, 3844, 547, 4466, 1200, 1007, 3339, 563, 3383, 267, 1018, 666, 649, 1451, 689, 8210, 514, 286, 1284, 666, 1451, 547, 18979, 569, 543, 12703, 569, 12167, 585, 938, 1378, 4703, 269, 1284, 666, 960, 2760, 547, 1577, 513, 4387, 779, 22754, 1118, 721, 1745, 1507, 269, 1284, 666, 3314, 547, 1871, 267, 543, 1397, 14696, 4724, 519, 7189, 543, 1866, 945, 723, 5280, 721, 2059, 519, 1259, 269, 1284, 666, 1397, 6000, 2648, 1142, 1554, 910, 1100, 2339, 1141, 649, 616, 538, 519, 10343, 1184, 269, 769, 9759, 267, 8210, 514, 19595, 721, 547, 581, 21847, 945, 5957, 938, 6370, 26711, 23217, 269, 2311, 519, 1482, 942, 267, 1352, 19595, 721, 602, 21847, 1995, 11212, 4101, 1272, 6381, 267, 543, 267, 899, 3020, 21847, 267, 649, 1590, 1451, 547, 581, 7925, 827, 938, 2790, 267, 3929, 267, 543, 5289, 16398, 865, 602, 649, 666, 960, 547, 12115, 1346, 267, 1932, 563, 5978, 5240, 12072, 814, 1044, 3370, 10116, 569, 676, 667, 2562, 4953, 2094, 476, 1220, 274, 269, 3962, 7160, 2882, 1344, 15700, 593, 1082, 3344, 540, 2713, 1272, 609, 7988, 2246, 517, 558, 807, 269, 901, 8313, 568, 513, 4074, 540, 2648, 689, 13538, 602, 1331, 5830, 267, 938, 2564, 28007, 8470, 543, 1374, 543, 11049, 5234, 267, 782, 24749, 741, 942, 543, 15421, 547, 1118, 1142, 7160, 13181, 543, 26656, 269, 1715, 21820, 616, 3370, 538, 2376, 270, 19986, 3898, 269, 24771, 21820, 616, 538, 7824, 3898, 543, 2154, 513, 4647, 269, 1403, 596, 723, 7411, 23842, 267, 610, 991, 513, 5299, 540, 606, 7160, 711, 538, 519, 1592, 267, 5225, 3346, 4757, 11333, 2593, 454, 18907, 476, 1001, 280, 5240, 12072, 910, 19737, 1299, 17949, 532, 5020, 454, 21938, 476, 1001, 280, 5240, 12072, 910, 28202, 1516, 454, 20606, 476, 1001, 279, 5240, 12072, 910, 27148, 1299, 1702, 454, 19688, 476, 1001, 279, 5240, 12072, 910, 9442, 454, 20103, 476, 1001, 278, 5240, 12072, 910, 18391, 1394, 1299, 3168, 4464, 454, 20809, 476, 1001, 278, 5240, 12072, 910, 12694, 454, 18550, 476, 1001, 278, 5240, 12072, 910, 25085, 618, 454, 2252, 596, 723, 7988, 2246, 517, 558, 807, 267, 596, 2907, 917, 602, 707, 8238, 5669, 8401, 1062, 568, 25768, 269, 1656, 540, 782, 519, 1949, 6417, 676, 938, 8238, 5669, 8401, 1062, 267, 15725, 1560, 2837, 666, 581, 519, 834, 15927, 257, 835, 1282, 519, 4832, 269, 9603, 547, 25013, 2837, 7939, 267, 1082, 540, 721, 1522, 1995, 2101, 1072, 2152, 713, 942, 540, 1032, 910, 7074, 676, 7050, 24852, 610, 519, 17418, 547, 17570, 563, 28959, 22166, 538, 1880, 267, 568, 513, 2462, 1966, 2429, 519, 4832, 269, 15310, 8982, 568, 2799, 267, 607, 1134, 607, 519, 7872, 540, 18024, 269, 13966, 609, 1346, 1079, 2589, 267, 568, 519, 2282, 10018, 602, 1866, 786, 581, 2799, 543, 5924, 24395, 730, 971, 607, 21994, 267, 15353, 267, 1769, 32567, 1145, 267, 512, 778, 344, 15258, 807, 267, 543, 8467, 563, 4407, 972, 568, 1100, 10826, 585, 519, 14524, 540, 519, 8238, 5669, 8401, 1062, 267, 972, 616, 6157, 3268, 602, 666, 581, 3144, 547, 948, 4339, 519, 3002, 269, 3680, 532, 1463, 7943, 568, 1360, 1271, 267, 607, 1134, 607, 9363, 607, 3579, 607, 2009, 269, 15346, 532, 642, 3949, 2073, 8405, 13218, 543, 9023, 28734, 666, 581, 11751, 267, 607, 1134, 607, 530, 1157, 268, 12537, 7802, 602, 2337, 547, 1832, 519, 1560, 3579, 269, 594, 723, 1336, 602, 513, 6632, 24621, 16207, 538, 519, 29606, 585, 513, 2370, 3787, 666, 581, 1360, 24253, 269, 4634, 1732, 267, 594, 1205, 513, 24621, 6632, 543, 6749, 513, 1906, 12772, 540, 890, 653, 1069, 842, 1349, 593, 621, 543, 1287, 3579, 621, 538, 519, 29606, 269, 594, 1810, 1406, 4734, 519, 2777, 1510, 1250, 9910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1477, 1038, 1847, 318, 3847, 815, 795, 1341, 476, 272, 5897, 1038, 952, 1775, 3436, 476, 271, 6769, 2018, 1582, 269, 13905, 6910, 263, 2891, 291, 32052, 2580, 1582, 269, 3200, 673, 5334, 331, 728, 263, 8181, 26077, 6831, 4878, 267, 1775, 267, 1847, 5091, 1144, 267, 795, 4297, 3418, 1038, 952, 1775, 2999, 1582, 2529, 22003, 292, 910, 476, 272, 6769, 2018, 1582, 269, 13905, 6910, 263, 2891, 16810, 2580, 1582, 269, 3200, 673, 5334, 331, 728, 263, 8181, 26077, 6831, 4878, 267, 1775, 267, 1847, 318, 1575, 267, 795, 4297, 3418, 1038, 952, 795, 2999, 1582, 2529, 22003, 292, 910, 476, 272, 6769, 2018, 1582, 269, 13905, 6910, 263, 2891, 4041, 10499, 2580, 1582, 269, 1817, 714, 7267, 5334, 331, 728, 263, 8181, 26077, 6831, 4878, 267, 795, 267, 1847, 318, 3847, 267, 1775, 4297, 3418, 1038, 952, 795, 3436, 476, 271, 6769, 2018, 1582, 269, 13905, 6910, 263, 3488, 305, 20846, 3299, 1582, 269, 1817, 714, 7267, 5334, 331, 728, 263, 8181, 26077, 6831, 4878, 267, 795, 267, 1847, 318, 2431, 267, 1775, 4297, 10142, 825, 1948, 4210, 2355, 519, 2418, 540, 1079, 17981, 19794, 23228, 825, 1948, 24439, 513, 2620, 32476, 547, 2057, 15817, 2152, 543, 2348, 547, 23396, 1394, 269, 1703, 781, 4440, 513, 1732, 1259, 547, 798, 713, 23228, 825, 1219, 7299, 5334, 331, 728, 4311, 267, 1976, 26077, 267, 3312, 10983, 267, 1007, 10983, 267, 795, 8029, 1038, 1533, 815, 2620, 32476, 263, 10594, 26077, 3418, 1038, 10917, 815, 1533, 314, 13092, 10983, 6012, 329, 15947, 1038, 1533, 314, 13092, 10983, 6012, 329, 316, 815, 1533, 314, 2908, 10983, 6012, 329, 15947, 1038, 1533, 314, 2908, 10983, 6012, 329, 316, 815, 10917, 1477, 1038, 2132, 1533, 5897, 825, 1219, 8880, 5334, 331, 728, 4311, 267, 1976, 26077, 267, 3312, 19553, 267, 1007, 19553, 267, 1775, 8029, 1038, 1533, 815, 2620, 32476, 263, 10594, 26077, 3418, 1038, 10917, 815, 1533, 5157, 6012, 13092, 19553, 15947, 1038, 1533, 5157, 6012, 13092, 19553, 316, 815, 1533, 5157, 6012, 2908, 19553, 15947, 1038, 1533, 5157, 6012, 2908, 19553, 316, 815, 10917, 1477, 1038, 2132, 1533, 5897, 825, 1219, 679, 28255, 5334, 15471, 832, 4311, 8029, 1038, 585, 2962, 538, 1582, 269, 13905, 6769, 2018, 1948, 11059, 568, 513, 24042, 281, 630, 332, 913, 2012, 267, 1533, 5119, 3418, 2018, 24288, 815, 10658, 14794, 263, 9146, 314, 272, 3910, 1582, 269, 2998, 531, 26077, 3418, 2018, 24288, 24786, 322, 739, 815, 1582, 29624, 322, 739, 1341, 476, 272, 1477, 2018, 24288, 21223, 1998, 815, 24288, 24786, 322, 739, 1341, 24288, 269, 20412, 622, 318, 2006, 21908, 14052, 2018, 24288, 15630, 7272, 340, 14794, 318, 12407, 4394, 4311, 267, 24288, 24786, 322, 739, 267, 2962, 314, 271, 316, 10142, 2018, 1948, 6744, 602, 2962, 1533, 568, 711, 538, 8268, 269, 1403, 711, 538, 8268, 267, 2638, 952, 538, 20281, 1477, 2018, 952, 24288, 30419, 23952, 3890, 711, 538, 10658, 14794, 269, 10339, 663, 539, 6769, 3546, 1533, 318, 9690, 6831, 739, 815, 10658, 14794, 8807, 3224, 1512, 8548, 777, 10947, 4433, 15471, 528, 30419, 23952, 3890, 3418, 3546, 1948, 1403, 711, 538, 20281, 1932, 267, 1039, 547, 20281, 23228, 3546, 1948, 3116, 952, 538, 20281, 6730, 535, 3799, 264, 538, 20281, 568, 2362, 267, 5372, 602, 6843, 609, 713, 24288, 23228, 3546, 952, 1533, 318, 9690, 6831, 739, 568, 7183, 6769, 7386, 646, 1952, 2313, 27456, 340, 14794, 8807, 3224, 1512, 267, 630, 338, 15471, 528, 21223, 1998, 267, 24288, 17903, 7386, 10658, 14794, 8807, 3224, 1512, 8548, 777, 314, 338, 15471, 528, 30419, 23952, 3890, 316, 815, 24288, 21223, 1998, 1477, 3546, 3116, 281, 1948, 3557, 568, 711, 538, 9450, 267, 568, 538, 20281, 1477, 7386, 952, 1533, 318, 9690, 6831, 739, 3436, 24288, 21223, 1998, 6769, 13376, 1948, 22352, 20281, 4786, 267, 1039, 24288, 547, 20313, 1477, 13376, 646, 1952, 2313, 27456, 340, 14794, 8807, 3224, 1512, 267, 630, 338, 15471, 528, 21223, 1998, 267, 24288, 17903, 13376, 10658, 14794, 8807, 3224, 1512, 8548, 777, 314, 338, 15471, 528, 30419, 23952, 3890, 316, 815, 24288, 21223, 1998, 5897, 825, 7711, 18878, 24709, 1477, 825, 1219, 1711, 318, 2006, 21908, 5091, 5315, 28399, 1038, 9598, 815, 15079, 1477, 1038, 1003, 815, 476, 272, 1477, 1038, 585, 1775, 538, 2039, 263, 274, 8029, 2018, 585, 795, 538, 2039, 263, 274, 8029, 3546, 9598, 314, 11133, 316, 815, 630, 328, 25814, 3418, 3546, 952, 630, 11133, 13843, 476, 279, 8029, 7386, 1003, 815, 476, 271, 1477, 3546, 3116, 6769, 7386, 1003, 815, 1003, 1341, 476, 272, 5897, 1038, 2132, 9598, 5897, 825, 1219, 5173, 318, 2006, 21908, 4311, 8029, 1038, 2698, 815, 476, 271, 1477, 1038, 585, 1775, 538, 2039, 263, 274, 8029, 2018, 585, 795, 538, 2039, 263, 274, 8029, 3546, 1871, 815, 1582, 269, 8181, 26077, 5157, 6012, 329, 15947, 3546, 952, 1871, 2652, 476, 271, 6769, 7386, 3136, 1477, 3546, 4890, 318, 6570, 815, 10658, 14794, 269, 2006, 21908, 5091, 5315, 10947, 263, 7407, 3418, 3546, 2698, 6834, 2612, 9217, 910, 4890, 318, 6570, 314, 271, 8079, 1341, 2612, 27203, 910, 4890, 318, 6570, 314, 272, 29573, 1038, 2132, 2698, 24653, 825, 1219, 568, 318, 2998, 531, 4311, 267, 1533, 8029, 1038, 2132, 1533, 2652, 1582, 269, 2998, 531, 26077, 1477, 1038, 1948, 23184, 3201, 5254, 12442, 6769, 1038, 1948, 476, 11277, 1477, 1038, 1948, 476, 27174, 1477, 1038, 1948, 476, 278, 3199, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1948, 798, 10691, 12189, 2630, 1477, 825, 952, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 274, 6769, 1038, 6318, 28759, 2891, 310, 3994, 1297, 540, 7440, 10590, 10142, 825, 2119, 6769, 1038, 535, 815, 1930, 4433, 903, 27769, 341, 314, 272, 3910, 1412, 337, 20298, 825, 4849, 594, 302, 13286, 6769, 1038, 6318, 594, 302, 13286, 2891, 19152, 3758, 711, 1336, 10590, 10142, 825, 2332, 26077, 815, 20886, 271, 585, 1775, 538, 2039, 263, 274, 13580, 585, 795, 538, 2039, 263, 274, 13580, 1477, 825, 3804, 26077, 815, 20886, 271, 585, 1775, 538, 2039, 263, 274, 13580, 585, 795, 538, 2039, 263, 274, 13580, 1477, 825, 3515, 815, 535, 18667, 6050, 31476, 825, 1775, 25814, 815, 476, 271, 267, 476, 271, 1477, 825, 585, 1899, 538, 3515, 6769, 1038, 585, 1297, 538, 1899, 6769, 2018, 952, 1412, 271, 262, 27045, 1297, 10922, 1412, 279, 262, 6769, 3546, 2332, 26077, 5157, 6012, 329, 316, 815, 703, 28840, 3418, 3546, 795, 6834, 476, 272, 1477, 3546, 952, 795, 2652, 476, 274, 6769, 7386, 1775, 6834, 476, 272, 1477, 7386, 795, 815, 476, 271, 5897, 825, 585, 1775, 538, 2039, 263, 272, 267, 476, 280, 8029, 1038, 3804, 26077, 27007, 328, 268, 272, 264, 2260, 274, 6012, 263, 328, 268, 272, 264, 260, 274, 316, 815, 1775, 1477, 825, 3804, 26077, 314, 273, 6012, 273, 316, 815, 476, 271, 5897, 825, 11015, 815, 10658, 14794, 263, 8181, 26077, 267, 3804, 26077, 3418, 825, 20735, 815, 11015, 4732, 9876, 31476, 825, 609, 1930, 4433, 903, 27769, 341, 314, 273, 3910, 1412, 320, 10807, 607, 535, 6769, 1038, 585, 2626, 538, 20735, 6769, 2018, 535, 22182, 263, 24987, 22065, 315, 333, 20298, 5897, 5897, 24653, 0, 343, 25507, 9272, 3488, 333, 337, 632, 3693, 324, 7188, 1617, 830, 320, 589, 281, 10807, 3418, 344, 25507, 9272, 3488, 333, 337, 632, 3693, 324, 7188, 1617, 830, 320, 645, 281, 10807, 3418, 288, 28121, 1598, 3890, 348, 1477, 289, 28121, 1598, 3890, 348, 1477, 1721, 1775, 538, 2039, 3287, 8029, 825, 1990, 284, 1598, 9272, 3488, 323, 10620, 3693, 592, 7188, 1617, 830, 320, 589, 281, 10807, 3418, 825, 952, 1990, 285, 8782, 288, 262, 543, 1990, 283, 8782, 313, 262, 6769, 1038, 589, 14491, 18750, 3418, 1721, 1775, 538, 2039, 12169, 8029, 825, 524, 284, 1598, 9272, 3488, 323, 10620, 3693, 592, 7188, 1617, 830, 320, 645, 281, 10807, 3418, 825, 952, 524, 285, 8782, 288, 262, 543, 524, 283, 8782, 313, 262, 6769, 1038, 645, 14491, 6262, 3418, 2745, 3488, 5793, 4167, 807, 284, 3299, 288, 269, 5793, 7611, 16360, 17903, 2745, 3488, 516, 27376, 2317, 320, 284, 3299, 288, 26509, 542, 16360, 17903, 2745, 3488, 323, 604, 5166, 320, 10490, 5174, 6661, 3299, 288, 6155, 29924, 16360, 17903, 2745, 3488, 323, 604, 5166, 320, 16360, 5025, 6661, 3299, 289, 6155, 29924, 10490, 4297, 0, 5228, 28184, 5793, 1104, 2608, 692, 10174, 815, 570, 330, 3890, 12361, 4523, 1354, 4376, 267, 713, 568, 519, 1292, 6885, 692, 3240, 299, 8475, 272, 815, 22443, 20172, 267, 1257, 6889, 15916, 2622, 256, 8442, 12361, 322, 11661, 513, 6003, 11097, 1326, 267, 1101, 649, 991, 547, 5581, 267, 1287, 12398, 621, 692, 3240, 299, 8475, 273, 815, 22443, 20172, 267, 1257, 6889, 7069, 2012, 568, 595, 14008, 8442, 12361, 322, 11661, 513, 6003, 11097, 1326, 267, 1101, 649, 991, 547, 5581, 267, 1287, 12398, 621, 692, 3240, 299, 8475, 274, 815, 22443, 20172, 267, 1257, 6889, 11434, 834, 264, 12361, 322, 11661, 513, 6003, 11097, 1326, 267, 1101, 649, 991, 547, 5581, 267, 1287, 12398, 621, 692, 258, 1250, 299, 8475, 4877, 871, 3890, 1948, 649, 616, 1175, 29466, 519, 22443, 11097, 1326, 538, 519, 2230, 602, 568, 2139, 630, 3333, 8221, 621, 883, 519, 5496, 2020, 3240, 299, 8475, 272, 26942, 21405, 815, 476, 271, 267, 6241, 815, 476, 271, 994, 3240, 299, 8475, 273, 26942, 21405, 815, 476, 272, 267, 6241, 815, 476, 276, 994, 3240, 299, 8475, 274, 26942, 21405, 815, 476, 272, 267, 6241, 815, 476, 272, 2020, 258, 649, 991, 547, 1711, 513, 8520, 602, 13475, 1169, 3350, 538, 519, 717, 21397, 692, 10174, 6230, 664, 31467, 3890, 0, 258, 290, 4471, 19804, 1982, 320, 6446, 682, 807, 798, 529, 562, 14243, 1067, 657, 552, 1034, 516, 513, 1474, 320, 1303, 516, 552, 956, 454, 333, 272, 284, 703, 9272, 3488, 19324, 920, 9366, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 333, 273, 284, 703, 9272, 3488, 19324, 920, 9366, 856, 549, 562, 14243, 1067, 334, 281, 1412, 4917, 338, 815, 562, 272, 1341, 562, 273, 454, 2745, 3488, 288, 1474, 320, 1303, 516, 2715, 271, 348, 552, 2715, 272, 348, 20527, 2715, 273, 20467, 8339, 8971, 3799, 272, 19885, 273, 29679, 4297, 0, 258, 19324, 920, 9366, 19804, 1982, 320, 6446, 6460, 320, 579, 2742, 2191, 520, 3120, 2007, 7534, 900, 11019, 290, 552, 6460, 320, 16948, 11019, 674, 692, 26118, 3780, 815, 703, 9272, 3488, 1432, 568, 519, 2837, 538, 5232, 281, 1412, 11723, 325, 16366, 815, 630, 26118, 3780, 16732, 280, 270, 276, 4297, 266, 3953, 692, 2745, 3488, 763, 2837, 540, 15079, 4113, 290, 16364, 538, 18278, 568, 15079, 4113, 8339, 8971, 263, 26118, 3780, 267, 535, 16366, 4297, 0, 258, 290, 4471, 19804, 1982, 320, 6446, 682, 807, 3067, 334, 7188, 515, 10098, 579, 2742, 533, 612, 10394, 1661, 14255, 7047, 324, 4275, 552, 1034, 516, 3067, 657, 546, 6759, 331, 4100, 1714, 320, 533, 1712, 6584, 541, 454, 258, 323, 6897, 513, 681, 259, 276, 267, 5379, 454, 333, 815, 10581, 9272, 3488, 23797, 334, 4938, 17845, 1661, 14255, 7047, 324, 4275, 281, 1412, 4917, 2745, 3488, 309, 665, 17845, 533, 1712, 6584, 541, 2715, 15545, 273, 325, 348, 546, 6759, 331, 4100, 8339, 8971, 3799, 270, 276, 269, 5379, 4297, 0, 258, 19324, 920, 9366, 19804, 1982, 320, 16948, 513, 2889, 12534, 522, 900, 1440, 2946, 560, 24982, 536, 4545, 5451, 26369, 16948, 513, 735, 571, 632, 579, 2742, 8732, 320, 269, 744, 1982, 320, 642, 2967, 829, 326, 2863, 541, 522, 27089, 13005, 8732, 320, 267, 522, 2892, 5451, 26369, 798, 735, 30786, 552, 900, 3067, 657, 606, 657, 1605, 642, 2967, 533, 26196, 563, 258, 9773, 9908, 522, 27089, 13005, 15341, 320, 23843, 544, 839, 531, 267, 26453, 754, 334, 6446, 1714, 320, 562, 14244, 533, 1712, 608, 1027, 518, 476, 1789, 260, 798, 2892, 5451, 26369, 522, 340, 1303, 14244, 522, 900, 1440, 11726, 560, 24982, 1583, 5451, 2258, 5964, 780, 2181, 1723, 290, 14505, 815, 703, 9272, 2891, 14707, 924, 522, 840, 9809, 334, 13005, 8732, 320, 281, 27328, 15680, 9222, 815, 703, 9272, 2891, 14707, 924, 522, 2892, 5451, 26369, 798, 735, 30786, 281, 27328, 534, 657, 815, 703, 9272, 2891, 10387, 3067, 657, 606, 657, 642, 2967, 533, 26196, 281, 834, 11723, 332, 839, 531, 815, 840, 1723, 290, 14505, 14370, 534, 657, 265, 1321, 994, 604, 544, 839, 531, 3436, 630, 15680, 9222, 265, 271, 269, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16035, 15464, 2479, 2094, 513, 1957, 1984, 538, 16959, 6577, 546, 22981, 476, 280, 267, 1822, 13532, 540, 519, 6757, 5230, 4496, 883, 519, 2296, 8862, 629, 580, 3019, 5211, 1062, 538, 519, 476, 3422, 271, 338, 563, 288, 1867, 30363, 676, 2947, 4966, 543, 5950, 2063, 1032, 6700, 16035, 1223, 1869, 581, 682, 1136, 883, 519, 5757, 1062, 269, 6736, 930, 30749, 3646, 267, 16035, 9830, 538, 519, 1858, 10093, 1406, 8519, 538, 476, 1789, 1296, 269, 667, 836, 2730, 2157, 616, 1869, 1459, 538, 11159, 543, 3165, 267, 4929, 5571, 1072, 543, 2804, 5222, 538, 23420, 344, 23902, 4900, 543, 519, 654, 15390, 655, 334, 784, 3689, 13780, 563, 1103, 519, 1604, 267, 3226, 12647, 267, 25825, 543, 19126, 267, 16035, 666, 581, 10736, 547, 513, 3810, 6757, 267, 5214, 7623, 1572, 18861, 1067, 322, 1722, 998, 6915, 613, 12950, 4205, 563, 300, 14007, 1067, 322, 1722, 267, 799, 568, 12842, 883, 519, 1560, 827, 3670, 2053, 811, 3362, 982, 22803, 16035, 267, 666, 22109, 998, 2281, 799, 7363, 1106, 513, 11064, 547, 13802, 269, 898, 666, 3444, 519, 1973, 1532, 1778, 543, 726, 659, 1581, 7496, 267, 3850, 621, 547, 2746, 2047, 609, 2634, 543, 19341, 2281, 563, 6097, 547, 519, 6554, 540, 4516, 779, 2546, 10503, 16035, 538, 519, 1426, 5832, 267, 3592, 782, 16035, 7135, 616, 6757, 543, 666, 581, 5906, 693, 1360, 1970, 2157, 538, 1312, 12748, 543, 18714, 8134, 269, 5221, 16035, 568, 513, 10770, 6219, 267, 621, 666, 6915, 3147, 636, 3634, 538, 2713, 7103, 267, 1102, 997, 1154, 2810, 2157, 540, 2800, 593, 2362, 1931, 2249, 971, 607, 2392, 2218, 3165, 543, 3165, 3887, 908, 5017, 543, 11864, 998, 8790, 1725, 2305, 269, 4014, 519, 1279, 3856, 2360, 540, 16035, 593, 2898, 8134, 616, 15458, 267, 519, 6668, 540, 930, 4299, 5095, 543, 2949, 9265, 616, 693, 1981, 563, 1103, 476, 1220, 280, 267, 519, 22598, 2229, 3370, 513, 1867, 13886, 968, 14549, 2657, 11485, 10495, 281, 22358, 538, 12551, 267, 23117, 543, 20463, 267, 8828, 22598, 2108, 269, 634, 1867, 11828, 513, 3165, 10386, 5619, 5342, 538, 476, 1220, 277, 538, 930, 8933, 543, 12647, 540, 7013, 22598, 563, 763, 1292, 6859, 540, 713, 1982, 941, 547, 513, 264, 10956, 519, 5619, 540, 16035, 22016, 538, 3165, 538, 519, 3162, 32527, 520, 3832, 9774, 16935, 602, 729, 2944, 538, 476, 2735, 273, 1107, 476, 10695, 282, 536, 264, 6218, 2436, 3165, 4616, 9666, 1559, 616, 1869, 2877, 543, 2708, 1761, 1480, 1072, 1981, 282, 524, 264, 3313, 952, 1022, 540, 513, 15410, 540, 6932, 17694, 949, 849, 581, 513, 6161, 282, 543, 546, 264, 3313, 519, 1533, 540, 12748, 5117, 1072, 538, 8828, 22598, 267, 607, 4330, 538, 519, 4826, 585, 5020, 15613, 269, 901, 1867, 729, 4553, 909, 676, 835, 3370, 538, 476, 1001, 277, 267, 968, 300, 11697, 538, 12551, 281, 769, 22598, 4826, 645, 3672, 476, 1220, 280, 1700, 1001, 274, 9731, 763, 6554, 540, 22598, 814, 1044, 29307, 543, 17265, 3165, 4616, 9666, 1559, 585, 3165, 9575, 689, 2199, 1216, 321, 3672, 538, 22598, 2094, 519, 476, 1960, 271, 338, 563, 293, 880, 4616, 9666, 1559, 4019, 547, 2199, 7449, 14571, 6800, 267, 16351, 2587, 6840, 543, 7264, 945, 3548, 3165, 9575, 689, 891, 1216, 321, 3672, 269, 634, 9666, 1559, 1217, 519, 1857, 827, 1022, 1761, 1072, 10898, 789, 949, 7237, 950, 4189, 1808, 2010, 540, 3165, 563, 28716, 519, 3733, 27288, 2704, 828, 3279, 3896, 585, 513, 1592, 540, 1216, 321, 3672, 609, 12551, 29283, 20180, 1559, 1644, 547, 16035, 607, 1134, 607, 585, 1019, 28845, 543, 9663, 534, 267, 1079, 6757, 6878, 5950, 883, 519, 1604, 998, 8781, 1418, 923, 543, 3653, 21226, 17579, 525, 689, 4853, 4609, 563, 2252, 596, 1131, 899, 547, 1451, 811, 827, 2627, 1216, 2298, 538, 22598, 267, 22598, 5113, 543, 20088, 814, 606, 5140, 1357, 2985, 602, 11225, 2627, 1216, 2298, 267, 2488, 606, 3140, 5133, 593, 21621, 5464, 543, 2152, 267, 543, 14592, 5571, 2238, 269, 1403, 596, 616, 693, 782, 5461, 538, 1216, 2298, 267, 621, 568, 1134, 4502, 707, 942, 269, 0, 5804, 1472, 476, 7785, 7460, 267, 6128, 543, 17651, 25577, 585, 513, 8536, 1296, 2429, 519, 5259, 18702, 1158, 540, 519, 9456, 11335, 7256, 269, 4438, 713, 942, 267, 519, 16380, 2919, 519, 1523, 540, 20952, 633, 9266, 7744, 602, 2968, 519, 10689, 5658, 540, 1454, 540, 741, 960, 267, 2523, 538, 519, 1858, 540, 9511, 563, 763, 9998, 1634, 5259, 22301, 568, 774, 2297, 540, 631, 850, 339, 639, 630, 322, 269, 277, 2190, 1700, 276, 5325, 7460, 264, 945, 267, 2687, 547, 10828, 267, 4547, 9511, 547, 10255, 689, 5527, 269, 1261, 10567, 513, 3859, 24256, 538, 476, 276, 5952, 7460, 543, 4951, 875, 27012, 609, 513, 6149, 666, 3132, 5201, 538, 17207, 269, 769, 9511, 646, 11567, 519, 17602, 775, 540, 12730, 267, 7311, 621, 547, 12445, 693, 4262, 267, 543, 568, 20295, 609, 18445, 602, 519, 3490, 7285, 540, 606, 568, 30801, 6906, 616, 3160, 543, 602, 513, 5858, 568, 20312, 624, 539, 676, 1022, 8006, 563, 763, 10859, 268, 5586, 754, 776, 4137, 540, 19456, 23768, 630, 322, 269, 6872, 273, 1700, 5392, 278, 7460, 264, 729, 4535, 593, 519, 32363, 613, 534, 6532, 540, 6341, 657, 267, 2663, 32164, 7992, 547, 519, 5259, 694, 777, 677, 540, 15867, 2023, 320, 267, 1631, 538, 7977, 267, 1141, 646, 8547, 519, 25355, 1153, 269, 901, 5702, 10275, 27848, 7015, 3125, 729, 4646, 267, 2687, 547, 2663, 5830, 267, 547, 2417, 519, 1353, 540, 6128, 267, 6138, 543, 519, 2067, 9443, 269, 634, 19456, 648, 753, 27581, 5156, 602, 2048, 5472, 568, 1297, 8730, 543, 972, 729, 513, 1880, 8561, 593, 519, 2048, 3901, 3012, 673, 6575, 685, 540, 12980, 267, 9511, 267, 17651, 543, 2575, 269, 19456, 23768, 568, 835, 540, 519, 5259, 5640, 13269, 538, 14943, 3873, 601, 779, 28912, 23906, 1723, 634, 3427, 540, 18603, 563, 314, 294, 872, 576, 476, 4198, 276, 267, 476, 1960, 275, 282, 23683, 2274, 821, 476, 2735, 274, 316, 0, 22826, 6947, 8223, 1315, 623, 10154, 7984, 269, 8191, 269, 7984, 267, 623, 10154, 269, 15618, 269, 11062, 6902, 1715, 3840, 281, 11062, 2160, 4964, 267, 12474, 9537, 269, 1257, 269, 5751, 593, 703, 29396, 543, 2566, 264, 543, 4914, 4001, 268, 476, 619, 630, 15367, 9752, 23016, 24366, 269, 623, 10154, 7984, 269, 11062, 2160, 4964, 6032, 269, 9752, 23016, 24366, 568, 827, 3384, 6947, 8223, 1983, 538, 519, 1893, 4928, 269, 769, 3487, 594, 267, 930, 1898, 4282, 2152, 563, 347, 13775, 630, 8310, 2567, 1475, 275, 5239, 476, 1220, 280, 2008, 347, 14457, 11711, 12025, 10573, 1321, 269, 6812, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1015, 269, 6924, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 10955, 603, 21582, 534, 2160, 7732, 563, 763, 4015, 3091, 513, 10375, 4704, 585, 3964, 2238, 543, 606, 4367, 547, 513, 1804, 1297, 540, 1007, 3283, 563, 1692, 19932, 616, 3231, 2740, 623, 1846, 344, 631, 269, 1703, 616, 1100, 4901, 3584, 593, 713, 1433, 2943, 269, 15618, 5988, 476, 280, 628, 676, 11062, 2160, 4964, 563, 9349, 16863, 676, 6153, 1348, 338, 269, 7348, 7047, 476, 271, 15566, 10918, 269, 2142, 519, 1101, 547, 2307, 513, 2243, 827, 9752, 23016, 24366, 563, 4322, 476, 279, 6753, 538, 15117, 281, 6153, 1348, 338, 2337, 596, 1832, 3950, 540, 2835, 596, 1616, 547, 1224, 269, 21909, 687, 585, 15858, 11242, 281, 898, 5161, 540, 13838, 593, 1883, 3584, 267, 11231, 883, 6810, 13565, 4199, 7305, 540, 9115, 693, 5291, 281, 3557, 7732, 540, 5375, 5245, 269, 9752, 11000, 711, 564, 1136, 609, 8076, 2326, 563, 289, 25403, 731, 339, 7732, 267, 24332, 25143, 3233, 320, 700, 338, 527, 2287, 269, 5853, 693, 891, 2835, 10914, 9612, 532, 1107, 5225, 7227, 2160, 540, 5375, 5245, 7732, 563, 23173, 8822, 7435, 9248, 585, 5678, 11334, 281, 9752, 23016, 24366, 454, 763, 5751, 666, 581, 1031, 607, 789, 1796, 610, 789, 666, 4196, 607, 3631, 585, 3610, 945, 6999, 547, 1374, 741, 1378, 2326, 269, 22398, 9109, 717, 17311, 28941, 7732, 269, 2296, 585, 14288, 8830, 5099, 11977, 2440, 515, 928, 542, 932, 1794, 531, 269, 7348, 1587, 9752, 16989, 5822, 5678, 22996, 901, 25156, 2488, 513, 5758, 540, 519, 3741, 3238, 538, 3450, 4079, 543, 2238, 4481, 2966, 585, 2937, 6267, 563, 763, 2238, 4001, 331, 978, 538, 1377, 689, 10026, 547, 4359, 543, 9414, 2553, 3617, 585, 1312, 4079, 543, 1453, 269, 15618, 11062, 6902, 1715, 3840, 281, 594, 6557, 513, 11819, 594, 6557, 513, 9906, 8058, 803, 3388, 563, 22826, 23016, 24366, 454, 17442, 18858, 2041, 2160, 7732, 269, 5213, 1406, 2907, 723, 606, 10228, 14288, 2272, 888, 14188, 596, 585, 707, 5955, 799, 786, 948, 721, 2087, 938, 3028, 269, 23016, 585, 8223, 589, 2022, 27771, 31639, 12039, 563, 22826, 6947, 8223, 1315, 623, 10154, 7984, 269, 1107, 19405, 3877, 1107, 570, 17311, 454, 12626, 1893, 9752, 12834, 901, 1433, 568, 827, 3384, 6947, 8223, 1983, 538, 519, 1893, 4928, 269, 1677, 2070, 621, 267, 4945, 1934, 563, 3891, 1430, 21025, 599, 267, 2806, 580, 841, 8751, 269, 5590, 909, 3733, 8021, 1215, 798, 594, 1305, 909, 968, 7069, 8021, 892, 286, 1284, 941, 4001, 3107, 547, 1265, 713, 7160, 538, 1022, 2835, 7749, 649, 616, 2111, 547, 3406, 269, 0, 1607, 568, 1018, 1053, 786, 581, 1565, 693, 519, 4639, 7736, 7991, 10418, 1107, 10670, 1676, 779, 5426, 476, 272, 454, 268, 13983, 564, 902, 267, 10962, 543, 6158, 827, 3054, 630, 20365, 2012, 267, 1141, 596, 616, 689, 267, 1018, 596, 616, 3257, 267, 1141, 596, 616, 10707, 1916, 268, 10606, 267, 15437, 543, 1210, 891, 538, 4052, 3871, 971, 607, 281, 10213, 4266, 543, 942, 267, 2469, 10918, 563, 268, 1306, 6362, 585, 8846, 630, 320, 3787, 811, 16310, 1107, 1141, 568, 519, 19880, 286, 994, 268, 5253, 543, 519, 13962, 1107, 7653, 649, 2259, 1331, 281, 1565, 519, 4408, 540, 5613, 543, 5388, 282, 1373, 2111, 547, 1931, 1426, 543, 10425, 454, 268, 1215, 547, 2307, 1271, 2055, 1210, 281, 875, 267, 1018, 267, 1946, 267, 950, 267, 1141, 454, 268, 12830, 2453, 596, 991, 547, 917, 585, 18002, 267, 1433, 532, 513, 4055, 267, 25937, 856, 3029, 563, 268, 634, 620, 325, 2896, 267, 24940, 11721, 18779, 3626, 543, 513, 2370, 2596, 8239, 602, 786, 1450, 596, 547, 1106, 2241, 5220, 454, 268, 2368, 4122, 1031, 13450, 596, 991, 547, 917, 0, 1805, 6652, 13118, 326, 568, 519, 3854, 543, 4102, 2749, 540, 519, 9835, 6480, 3148, 540, 5333, 543, 568, 519, 4013, 10160, 540, 519, 3864, 12057, 269, 28210, 693, 519, 8473, 609, 5125, 538, 519, 8978, 3148, 540, 1325, 338, 864, 267, 621, 568, 519, 3854, 540, 519, 5178, 7304, 327, 514, 8257, 269, 769, 476, 1001, 277, 267, 519, 2749, 1697, 1185, 476, 29344, 267, 29257, 11317, 543, 1312, 519, 661, 23757, 18863, 1886, 1961, 632, 5899, 553, 13118, 326, 543, 519, 27336, 1180, 23579, 618, 540, 5899, 553, 13118, 326, 1185, 476, 5392, 272, 267, 30156, 11317, 269, 5899, 553, 13118, 326, 781, 23195, 1858, 1185, 513, 2551, 540, 476, 4281, 276, 267, 279, 4375, 538, 476, 1001, 276, 267, 1818, 621, 519, 27630, 4102, 1558, 549, 1858, 538, 5333, 543, 1753, 547, 476, 1724, 260, 540, 519, 9835, 6480, 3148, 781, 11317, 282, 519, 30427, 16402, 23251, 2774, 5899, 553, 13118, 326, 268, 7775, 1084, 879, 1185, 513, 2551, 540, 476, 280, 1428, 267, 1822, 11317, 538, 476, 1001, 275, 269, 5899, 553, 13118, 326, 568, 835, 540, 519, 632, 1249, 334, 1698, 8558, 540, 519, 3864, 5742, 267, 607, 621, 568, 519, 10160, 540, 1896, 3864, 5238, 267, 971, 607, 519, 7027, 540, 2342, 543, 519, 16402, 14585, 1186, 267, 607, 1134, 607, 519, 3864, 12057, 543, 519, 3864, 744, 3387, 644, 338, 2006, 540, 519, 3864, 5742, 282, 519, 2749, 568, 519, 10160, 540, 519, 6239, 8189, 585, 32522, 593, 519, 10910, 710, 543, 519, 4139, 4659, 540, 5274, 7126, 563, 1805, 6652, 13118, 326, 781, 8978, 2749, 8998, 267, 519, 9835, 324, 3331, 492, 548, 267, 729, 9286, 513, 2622, 11595, 13505, 676, 20648, 538, 476, 2735, 279, 267, 519, 1101, 942, 971, 606, 22632, 729, 5116, 593, 606, 3003, 2749, 8998, 269, 5899, 553, 13118, 326, 568, 27153, 538, 30473, 8566, 9007, 2528, 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 ]
[ 267, 18584, 476, 7277, 271, 267, 1500, 538, 25109, 5264, 267, 1325, 338, 864, 267, 799, 729, 606, 1271, 13524, 10601, 4099, 585, 19135, 2504, 538, 519, 670, 2246, 7304, 327, 514, 3148, 540, 5333, 269, 634, 1374, 568, 1500, 909, 540, 513, 2357, 6193, 983, 4806, 4646, 609, 12297, 1540, 3515, 540, 1769, 16009, 2681, 543, 13890, 609, 4158, 26070, 29744, 588, 31454, 936, 513, 1769, 16009, 2666, 609, 4158, 26070, 29744, 588, 31454, 267, 543, 20367, 7299, 543, 8880, 9343, 540, 15090, 3149, 540, 3043, 2681, 609, 3109, 14592, 269, 0, 19284, 17189, 12959, 1472, 19360, 1282, 24918, 267, 1906, 267, 952, 1022, 267, 19360, 619, 5747, 538, 2011, 26301, 538, 19360, 1282, 519, 1482, 1974, 269, 3245, 476, 3707, 271, 547, 476, 3707, 276, 267, 811, 982, 476, 4968, 7077, 26301, 543, 32657, 2355, 941, 6592, 538, 543, 1472, 19360, 269, 1358, 24132, 689, 5634, 10913, 547, 14603, 26301, 563, 763, 4108, 13279, 538, 19360, 941, 10483, 676, 1713, 2011, 6808, 1317, 2011, 13137, 5129, 606, 1271, 1909, 538, 519, 5822, 2622, 2782, 7526, 269, 1306, 513, 1267, 267, 7077, 26301, 941, 3833, 1455, 538, 713, 2197, 269, 1358, 5097, 3238, 3703, 543, 1977, 4108, 8484, 543, 519, 17573, 27858, 689, 519, 4436, 2011, 18239, 563, 21497, 20466, 8484, 941, 10032, 610, 8697, 267, 543, 476, 4343, 277, 1004, 941, 7166, 269, 27051, 476, 2004, 4436, 4108, 21804, 941, 7166, 538, 19360, 1282, 519, 1482, 1974, 269, 4643, 525, 3006, 20374, 593, 741, 1259, 547, 543, 689, 19360, 267, 1034, 2693, 1835, 4770, 883, 519, 4262, 269, 16661, 2175, 543, 3937, 5821, 616, 519, 1034, 1455, 3123, 540, 4049, 2011, 10913, 563, 31640, 853, 4428, 595, 6652, 1127, 883, 674, 698, 2784, 1023, 325, 329, 718, 454, 4002, 2904, 476, 274, 267, 476, 3707, 274, 267, 519, 17177, 828, 645, 268, 2190, 291, 8644, 518, 1807, 476, 6078, 268, 26801, 2764, 267, 12183, 24887, 12182, 853, 4428, 267, 4682, 1524, 538, 835, 540, 519, 1034, 13249, 2011, 10913, 1934, 269, 476, 1691, 1004, 5747, 538, 519, 8009, 267, 855, 2879, 23803, 9677, 589, 269, 661, 529, 601, 15068, 609, 1152, 5634, 7063, 269, 634, 7077, 1185, 13986, 547, 2244, 693, 918, 1030, 15442, 6403, 330, 23076, 855, 8959, 1813, 547, 519, 4365, 269, 898, 729, 7654, 593, 922, 1259, 547, 17833, 6767, 32244, 541, 5886, 610, 1234, 344, 330, 329, 822, 6403, 330, 269, 4937, 7671, 7665, 6202, 12448, 338, 267, 519, 16710, 532, 4937, 540, 2475, 17086, 538, 519, 3864, 26308, 540, 15051, 693, 519, 942, 267, 729, 1851, 519, 15915, 563, 29128, 12448, 779, 2669, 267, 1100, 1164, 8573, 21403, 20466, 11464, 1185, 1044, 7166, 538, 519, 2112, 269, 1403, 12448, 338, 1185, 711, 5747, 593, 6778, 674, 698, 2784, 531, 267, 646, 1131, 723, 1034, 2693, 3366, 519, 1977, 4229, 538, 519, 11870, 22929, 12289, 3079, 540, 667, 342, 697, 667, 269, 29276, 327, 1077, 267, 945, 1131, 2663, 1831, 5518, 540, 519, 2136, 2276, 563, 10303, 540, 519, 1164, 1377, 540, 2011, 6808, 693, 1234, 344, 330, 329, 822, 1731, 23076, 267, 1896, 7077, 26301, 7018, 2282, 519, 2749, 269, 589, 2347, 20739, 1188, 540, 513, 3345, 1886, 715, 268, 274, 303, 289, 8484, 729, 4362, 676, 4960, 538, 26187, 341, 690, 584, 1055, 918, 5451, 3464, 5886, 538, 476, 1220, 273, 269, 5221, 519, 7077, 779, 18535, 729, 7164, 267, 513, 11362, 7333, 729, 13684, 1369, 513, 476, 736, 2173, 2678, 8953, 540, 519, 20739, 1188, 720, 269, 901, 2186, 540, 7077, 1223, 3560, 909, 547, 476, 12010, 4846, 540, 23038, 269, 4935, 621, 729, 15458, 2436, 3001, 873, 1131, 581, 2922, 269, 5015, 267, 2436, 519, 7077, 779, 12284, 23012, 1354, 621, 521, 1678, 729, 7164, 267, 9870, 519, 7872, 602, 621, 729, 513, 6632, 18205, 563, 2005, 568, 811, 2693, 602, 621, 568, 513, 7077, 602, 521, 1678, 1310, 13941, 593, 5239, 476, 2420, 267, 476, 3707, 273, 267, 855, 782, 1614, 12284, 2818, 15068, 269, 634, 3684, 568, 12479, 547, 581, 16626, 689, 519, 26026, 539, 267, 855, 1152, 476, 2190, 540, 713, 1826, 941, 3812, 269, 8307, 835, 540, 873, 814, 15068, 563, 31640, 853, 4428, 1835, 14414, 1175, 827, 1141, 519, 4583, 674, 698, 2784, 1023, 325, 329, 718, 779, 661, 8306, 729, 538, 476, 1708, 272, 543, 476, 1708, 273, 269, 2659, 31541, 538, 1234, 344, 330, 329, 822, 1731, 4682, 547, 519, 20349, 3135, 267, 2661, 3613, 516, 3139, 621, 267, 543, 10272, 519, 16154, 3135, 607, 1134, 269, 6744, 621, 856, 1934, 563, 280, 13303, 589, 7878, 338, 595, 6652, 1117, 538, 19360, 454, 4002, 519, 3781, 540, 2904, 476, 2420, 267, 476, 3707, 272, 267, 519, 1004, 538, 519, 5101, 674, 329, 3581, 4862, 513, 1804, 16411, 269, 589, 4436, 22342, 7077, 1185, 1835, 14414, 883, 519, 7823, 918, 1484, 6951, 325, 329, 718, 563, 3080, 540, 519, 1713, 2621, 540, 519, 5822, 2622, 2782, 7018, 538, 519, 5614, 540, 476, 3707, 272, 269, 634, 4436, 10617, 4721, 645, 1143, 541, 1188, 543, 11010, 345, 26290, 523, 30774, 689, 20944, 22519, 2378, 523, 593, 519, 27397, 7256, 593, 2904, 476, 866, 267, 679, 8905, 547, 519, 9533, 7909, 267, 609, 513, 3247, 693, 645, 329, 23152, 326, 9109, 538, 16157, 269, 2991, 2921, 3282, 972, 267, 621, 729, 9250, 689, 519, 5032, 540, 16157, 593, 2904, 476, 2641, 693, 476, 866, 281, 1789, 563, 763, 9709, 8905, 540, 519, 9635, 729, 2620, 7532, 540, 19360, 543, 5087, 540, 519, 2197, 543, 1287, 2059, 519, 4672, 14816, 547, 519, 5045, 540, 519, 23529, 7256, 269, 898, 729, 1634, 602, 519, 16586, 1705, 711, 1616, 547, 1205, 883, 513, 6370, 609, 519, 1292, 3703, 18239, 269, 1924, 741, 14742, 267, 799, 941, 1759, 693, 21785, 2011, 26753, 267, 1185, 1044, 593, 11028, 18590, 19426, 547, 519, 22071, 540, 519, 3703, 18239, 538, 2480, 23981, 7345, 538, 519, 2107, 330, 2284, 11866, 269, 2334, 1185, 1044, 10169, 3811, 563, 295, 527, 2401, 9894, 333, 1406, 6145, 3571, 645, 25114, 4721, 856, 693, 7256, 454, 7197, 540, 519, 4102, 3703, 10617, 4721, 941, 1869, 693, 741, 22071, 538, 2480, 23981, 10046, 950, 519, 4436, 10617, 4721, 1305, 13743, 689, 519, 21785, 5032, 269, 634, 3703, 6785, 1018, 729, 2469, 593, 269, 898, 7012, 1406, 2394, 519, 8772, 1554, 1310, 519, 4436, 10617, 4721, 2451, 20944, 22519, 2378, 523, 602, 519, 4436, 17189, 4971, 5483, 13609, 827, 519, 9635, 685, 16939, 269, 1358, 1223, 18923, 1205, 519, 4960, 27891, 547, 3858, 547, 3136, 713, 16939, 563, 2005, 729, 1634, 602, 13609, 4769, 1406, 899, 1010, 10617, 4721, 856, 693, 4262, 267, 543, 930, 1767, 646, 7948, 1406, 3207, 1346, 17334, 269, 634, 12959, 1222, 645, 1143, 541, 1188, 729, 593, 922, 1101, 22116, 856, 883, 519, 9533, 267, 543, 713, 7552, 729, 519, 6928, 779, 2063, 269, 898, 729, 3141, 330, 676, 3703, 10617, 4721, 513, 1906, 2395, 2663, 267, 799, 649, 5143, 596, 827, 538, 938, 3105, 2022, 593, 17189, 12959, 1472, 19360, 563, 3891, 1074, 601, 1261, 476, 9340, 26301, 538, 519, 5101, 674, 329, 3581, 454, 4002, 519, 10543, 540, 2904, 476, 2641, 267, 513, 1261, 1074, 601, 7077, 540, 519, 4436, 5794, 10414, 2451, 16157, 585, 606, 11439, 11028, 18590, 8184, 3808, 585, 19360, 269, 898, 1131, 723, 547, 8038, 3592, 476, 10384, 562, 27658, 5195, 547, 519, 19360, 545, 5101, 674, 329, 3581, 267, 865, 519, 8184, 942, 1590, 723, 1044, 5176, 2185, 3108, 563, 2467, 729, 2370, 2842, 693, 519, 15820, 6074, 269, 1809, 621, 568, 711, 1978, 602, 519, 7077, 4682, 2047, 547, 19360, 269, 634, 1261, 1074, 601, 1261, 476, 9340, 670, 268, 276, 8484, 2451, 16157, 1896, 3108, 4505, 982, 9709, 269, 898, 729, 9277, 547, 2263, 519, 1858, 689, 519, 1261, 1962, 1938, 547, 19360, 269, 634, 14742, 540, 519, 918, 294, 476, 2412, 27805, 1258, 2356, 4682, 593, 741, 11028, 18590, 19426, 693, 28813, 543, 8120, 693, 29869, 519, 1985, 1554, 269, 634, 14742, 941, 4440, 519, 2185, 268, 19956, 918, 1180, 528, 14742, 1419, 2938, 538, 19360, 1282, 1346, 1296, 563, 763, 22576, 942, 540, 519, 1261, 1074, 601, 7077, 7028, 519, 1249, 602, 621, 729, 9277, 547, 2263, 519, 1858, 1472, 19360, 538, 519, 25610, 540, 1530, 344, 32244, 529, 325, 329, 23152, 32244, 584, 1813, 547, 519, 8574, 540, 4436, 10617, 4721, 269, 2353, 519, 5638, 540, 519, 918, 294, 476, 2412, 27805, 1258, 616, 4503, 563, 763, 8484, 779, 7125, 793, 338, 941, 674, 279, 266, 14875, 269, 898, 4440, 3576, 1055, 689, 8493, 1069, 14535, 23076, 5087, 540, 14642, 5979, 269, 1403, 865, 267, 519, 21804, 2693, 15354, 693, 3752, 320, 23076, 2282, 853, 822, 9734, 547, 1201, 3241, 563, 763, 1261, 1074, 601, 27336, 1161, 538, 674, 690, 4445, 16661, 454, 763, 1261, 1074, 601, 7077, 8452, 538, 519, 5101, 674, 329, 3581, 1282, 519, 3781, 540, 2904, 476, 2420, 693, 1472, 1079, 267, 538, 20893, 4445, 4365, 563, 23873, 7980, 593, 9856, 693, 966, 3430, 541, 5886, 4862, 513, 7077, 693, 827, 476, 273, 281, 876, 7537, 267, 799, 24363, 538, 513, 14926, 615, 569, 4287, 269, 6168, 4557, 3764, 2663, 267, 789, 4862, 513, 7372, 16411, 269, 19360, 619, 538, 519, 1858, 2663, 27416, 7487, 519, 7077, 4963, 743, 532, 1472, 585, 513, 2110, 942, 267, 3168, 585, 513, 1434, 1747, 547, 2244, 269, 1809, 1287, 519, 7077, 24363, 547, 4262, 269, 589, 2110, 1247, 2663, 267, 519, 16411, 729, 4862, 267, 543, 3595, 1396, 909, 519, 6607, 269, 589, 2034, 16411, 7018, 827, 1079, 3764, 2663, 267, 799, 8604, 547, 581, 2630, 4262, 1377, 269, 2991, 519, 1101, 16411, 267, 519, 7077, 779, 2599, 729, 711, 4862, 563, 6546, 3781, 267, 519, 5179, 29539, 29443, 32244, 383, 378, 329, 6759, 325, 584, 24639, 476, 4391, 272, 689, 10507, 330, 604, 329, 23152, 32244, 584, 729, 21945, 1310, 10068, 269, 634, 1268, 538, 519, 10935, 779, 8868, 5264, 4862, 513, 7077, 16154, 855, 1705, 711, 1294, 621, 269, 634, 12284, 1287, 4862, 513, 7372, 16411, 543, 4718, 513, 8755, 540, 3595, 4724, 918, 1484, 6951, 325, 329, 718, 13738, 269, 9050, 1762, 16586, 5747, 972, 563, 288, 1906, 2395, 1310, 519, 8009, 267, 519, 16027, 538, 918, 1484, 6951, 1336, 519, 7077, 779, 20739, 1188, 720, 543, 10332, 539, 519, 521, 615, 858, 267, 945, 4682, 547, 519, 1747, 609, 3703, 7980, 543, 6705, 689, 519, 24781, 269, 2290, 9649, 267, 23257, 10757, 10514, 729, 1336, 693, 519, 3135, 563, 1432, 729, 519, 17030, 888, 763, 1261, 1074, 601, 7077, 779, 5692, 547, 19360, 602, 3781, 2693, 729, 547, 1265, 856, 952, 519, 3703, 18239, 729, 538, 1346, 2127, 543, 1141, 269, 15907, 519, 942, 519, 8484, 24363, 883, 519, 10239, 728, 693, 1234, 344, 32244, 541, 325, 329, 23152, 32244, 584, 267, 519, 4436, 10617, 4721, 941, 693, 2407, 3432, 7532, 540, 19360, 269, 589, 3391, 1504, 1336, 693, 519, 16154, 3135, 8659, 1344, 585, 519, 21804, 827, 20966, 693, 1585, 29032, 538, 5125, 267, 16231, 657, 21754, 25474, 267, 543, 5333, 543, 1896, 29032, 538, 16157, 269, 769, 713, 1433, 267, 621, 729, 7150, 602, 519, 3105, 3018, 519, 7077, 1185, 2095, 333, 2059, 519, 5032, 540, 16157, 269, 1358, 1185, 2095, 333, 547, 19360, 2899, 267, 855, 621, 729, 711, 1767, 950, 269, 634, 2014, 540, 519, 1261, 1074, 601, 10760, 883, 519, 10239, 728, 568, 15458, 563, 4913, 267, 789, 941, 6157, 10760, 538, 519, 12269, 269, 4595, 519, 16027, 693, 918, 1484, 6951, 2219, 646, 1185, 2938, 519, 8484, 267, 621, 568, 2009, 519, 21804, 941, 3843, 547, 1265, 741, 1259, 267, 799, 568, 4101, 538, 20893, 4445, 4365, 269, 3958, 267, 789, 4769, 1406, 917, 519, 1576, 540, 519, 2244, 269, 4634, 1498, 519, 3781, 568, 7168, 6505, 693, 602, 942, 540, 1032, 267, 476, 273, 281, 876, 7537, 568, 519, 4158, 652, 6712, 540, 519, 3781, 563, 763, 3689, 543, 7831, 16680, 539, 24918, 5794, 595, 6652, 1127, 538, 19360, 454, 296, 576, 1633, 779, 1101, 6592, 2011, 16154, 1282, 24918, 729, 593, 5181, 476, 1724, 267, 476, 3707, 271, 269, 30586, 1100, 835, 5747, 269, 634, 13056, 790, 344, 11135, 700, 276, 4097, 274, 729, 593, 513, 18213, 3560, 689, 17833, 6767, 32244, 541, 5886, 547, 9253, 3455, 32244, 1143, 601, 541, 538, 29431, 329, 2378, 329, 23152, 32244, 584, 269, 2991, 827, 606, 5662, 540, 8184, 267, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]