SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 519, 14950, 538, 2990, 855, 10690, 2614, 547, 5512, 1863, 3350, 563, 274, 269, 1677, 4188, 21015, 22651, 267, 16833, 873, 1472, 707, 21389, 1235, 609, 519, 27374, 6849, 18746, 269, 24344, 20653, 23145, 2269, 1186, 16119, 547, 2226, 12972, 543, 6617, 780, 3528, 1739, 891, 4808, 543, 10115, 942, 538, 8939, 3617, 3106, 10591, 267, 596, 3513, 1305, 3054, 909, 585, 9118, 3108, 540, 11791, 5066, 619, 330, 908, 2833, 256, 5457, 267, 2921, 1416, 540, 707, 1560, 1797, 1373, 14942, 827, 6604, 2864, 982, 7996, 585, 7063, 547, 4755, 269, 3767, 1205, 4712, 547, 1350, 728, 9108, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 22802, 5004, 454, 268, 3883, 532, 1299, 2480, 1117, 30389, 454, 268, 12833, 334, 6005, 543, 9796, 906, 454, 268, 681, 1581, 19534, 12706, 518, 454, 268, 16797, 9248, 6732, 16949, 454, 268, 6796, 543, 29766, 454, 268, 22048, 1299, 6732, 16373, 454, 268, 623, 5308, 1299, 6744, 719, 12229, 454, 268, 4937, 15484, 454, 268, 14716, 1299, 24581, 16811, 454, 763, 1985, 5108, 540, 3937, 23934, 3301, 568, 6368, 1934, 269, 2913, 721, 1397, 596, 563, 6546, 781, 875, 1454, 649, 4312, 6738, 538, 513, 1032, 454, 302, 6113, 619, 9268, 543, 10203, 269, 16258, 563, 268, 16373, 1299, 12618, 20929, 454, 268, 4937, 16811, 20929, 454, 13425, 856, 938, 3937, 23934, 3301, 6476, 3391, 269, 8414, 10918, 563, 1692, 6496, 513, 681, 1581, 6355, 7844, 4518, 888, 305, 1581, 4213, 616, 14762, 2066, 1082, 6080, 267, 609, 1007, 3255, 6932, 1169, 1554, 269, 1717, 267, 4896, 3168, 883, 4358, 513, 23934, 1870, 2115, 547, 1174, 519, 2956, 540, 2348, 606, 2500, 23934, 1870, 2203, 538, 1747, 563, 1432, 1772, 513, 681, 1581, 7844, 888, 288, 23934, 1870, 2203, 568, 1114, 538, 1082, 2081, 689, 824, 2010, 540, 4213, 269, 634, 6671, 1870, 2203, 786, 581, 1759, 1472, 519, 9042, 540, 2901, 1434, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32552, 717, 792, 543, 13363, 633, 16811, 585, 24305, 619, 330, 908, 257, 607, 851, 540, 834, 16300, 13493, 1315, 11846, 1299, 28046, 1315, 17029, 2401, 1299, 769, 6441, 710, 4787, 908, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 1336, 8885, 29957, 998, 23749, 3735, 835, 3781, 950, 594, 16686, 2390, 606, 10578, 8142, 593, 678, 24250, 2674, 807, 910, 1004, 941, 7234, 875, 547, 14377, 3656, 6054, 689, 2296, 547, 4936, 1014, 256, 1306, 513, 23316, 27423, 543, 513, 10583, 4759, 540, 519, 4936, 1014, 29563, 267, 1250, 1719, 729, 533, 31985, 269, 9741, 1705, 594, 917, 602, 713, 17608, 15529, 8559, 1131, 1291, 803, 547, 606, 3078, 7045, 5473, 1250, 13395, 1719, 538, 4654, 543, 930, 1279, 16519, 326, 13516, 17052, 780, 2005, 782, 3323, 950, 594, 4718, 513, 7662, 689, 579, 270, 17746, 3191, 299, 1478, 267, 945, 2877, 6351, 24758, 513, 2629, 3561, 1107, 519, 14913, 7489, 630, 10345, 264, 8648, 262, 2376, 827, 7598, 513, 25799, 25943, 538, 513, 19858, 2104, 3557, 5742, 269, 1358, 4941, 5583, 593, 17021, 519, 2140, 543, 2243, 8308, 1247, 8497, 922, 3312, 2495, 543, 2796, 269, 3371, 781, 519, 4845, 789, 3177, 1384, 265, 257, 10345, 8648, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 8119, 22177, 28274, 1250, 1893, 1983, 267, 594, 13264, 1524, 519, 4845, 1900, 8386, 9912, 267, 12261, 621, 883, 4936, 1014, 267, 543, 6035, 1250, 4528, 281, 2608, 257, 10345, 8648, 281, 595, 636, 642, 320, 2936, 19327, 14295, 324, 328, 4790, 15856, 388, 505, 1308, 324, 522, 521, 26324, 513, 329, 1393, 1368, 591, 928, 548, 476, 388, 503, 328, 524, 564, 26324, 388, 505, 523, 4512, 1133, 328, 684, 4512, 632, 3557, 513, 548, 19274, 3218, 592, 14241, 521, 26324, 8275, 2763, 1073, 328, 624, 633, 548, 561, 528, 8119, 22177, 7069, 3210, 17275, 7279, 1851, 824, 3755, 282, 649, 3459, 29050, 17975, 519, 8144, 267, 4180, 6111, 543, 15984, 547, 4936, 1014, 8239, 3652, 269, 1284, 1256, 1185, 1187, 18530, 1472, 24668, 543, 5309, 338, 1644, 547, 5824, 5072, 602, 1312, 4654, 2671, 269, 898, 18056, 803, 540, 1346, 3735, 5991, 697, 1353, 7886, 1282, 2852, 267, 1141, 7214, 13287, 23091, 16900, 609, 17409, 543, 23274, 780, 2026, 938, 6643, 8057, 21950, 267, 865, 1705, 1250, 4276, 609, 891, 8284, 4936, 2103, 16559, 2066, 519, 8608, 269, 17652, 2614, 267, 649, 4646, 513, 7524, 2228, 1895, 267, 27300, 2984, 827, 938, 6561, 267, 2528, 267, 543, 2648, 585, 519, 4936, 1014, 1893, 269, 3414, 713, 1184, 267, 594, 7691, 1945, 7096, 281, 4352, 3845, 9674, 721, 9308, 267, 938, 3838, 4282, 543, 18653, 4547, 721, 6251, 1927, 982, 2479, 1354, 780, 3080, 3593, 3957, 5981, 267, 8385, 689, 7033, 529, 334, 4673, 855, 1631, 2713, 538, 8050, 267, 7000, 1010, 8966, 15908, 1107, 646, 6394, 25447, 4936, 1014, 22827, 10023, 3140, 20375, 543, 5339, 5515, 269, 6271, 3593, 267, 1656, 571, 267, 1759, 538, 29246, 11732, 267, 21334, 539, 1200, 5326, 540, 6679, 513, 2757, 4936, 1014, 29221, 2044, 21751, 538, 524, 990, 3419, 328, 543, 1071, 345, 517, 659, 328, 538, 1715, 3840, 4975, 14693, 269, 3776, 7391, 2095, 539, 24672, 1063, 3978, 1893, 9840, 543, 1769, 27329, 7333, 614, 267, 8108, 513, 9395, 10275, 27848, 2146, 3808, 676, 1455, 16060, 5103, 10923, 4763, 780, 3719, 1287, 3357, 606, 6397, 4729, 6335, 780, 20694, 6069, 12180, 513, 5691, 2743, 1575, 1141, 5171, 1223, 13686, 741, 2189, 15421, 543, 1865, 1761, 3785, 5009, 4936, 1014, 2528, 5001, 269, 15526, 8815, 2898, 27329, 569, 267, 11235, 547, 3565, 9797, 547, 938, 2686, 9371, 269, 2334, 781, 950, 1919, 3893, 4277, 780, 7628, 519, 1101, 5870, 267, 5981, 30792, 1010, 9058, 16826, 4015, 3842, 3381, 1289, 267, 4687, 4241, 8941, 3297, 1142, 31074, 269, 3973, 267, 1656, 571, 14281, 721, 609, 513, 2661, 17431, 540, 1818, 8949, 524, 990, 3419, 328, 1210, 1200, 20516, 781, 5728, 11600, 269, 3733, 1909, 729, 547, 7520, 1893, 11925, 267, 4543, 2818, 2087, 741, 15334, 543, 1451, 811, 827, 27597, 781, 10409, 16082, 780, 7437, 891, 11401, 267, 938, 6125, 22541, 267, 13321, 13680, 4205, 883, 6209, 3347, 269, 901, 1995, 6026, 803, 3407, 4245, 827, 8508, 938, 5072, 543, 5807, 4296, 3564, 10665, 269, 1635, 8362, 10283, 538, 713, 2228, 2146, 267, 594, 6591, 4030, 883, 1585, 3344, 540, 4936, 1014, 1272, 267, 9821, 267, 543, 5389, 602, 2620, 2989, 1250, 7071, 585, 938, 7104, 1686, 543, 3961, 780, 1103, 3932, 267, 1018, 7620, 8604, 899, 513, 2241, 8144, 3635, 5828, 856, 547, 581, 606, 23429, 3460, 4904, 609, 17409, 267, 1565, 267, 543, 9434, 17052, 269, 25927, 908, 602, 2582, 4845, 6039, 607, 513, 18463, 585, 2699, 4593, 1478, 532, 1250, 2686, 11348, 543, 2870, 19644, 8823, 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, 9558, 17218, 519, 1739, 4845, 547, 4936, 1014, 912, 10345, 8648, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 888, 3721, 476, 272, 281, 10576, 519, 1292, 2694, 540, 519, 4845, 543, 741, 2497, 563, 20428, 281, 10323, 8648, 454, 9223, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 2496, 3721, 476, 273, 281, 14419, 519, 3617, 4936, 1014, 6863, 585, 1142, 851, 540, 519, 4845, 563, 10345, 8648, 281, 10323, 8648, 630, 1607, 568, 513, 1697, 10902, 543, 1281, 711, 2154, 8144, 8094, 1692, 281, 595, 636, 454, 15884, 6388, 281, 642, 320, 2936, 19327, 454, 1993, 519, 25799, 25943, 281, 513, 14295, 320, 4790, 15856, 388, 505, 1308, 26324, 3097, 15276, 281, 513, 329, 25917, 454, 326, 4261, 906, 281, 1368, 591, 928, 548, 454, 663, 281, 476, 388, 503, 328, 454, 31842, 714, 839, 281, 524, 564, 26324, 388, 505, 523, 4512, 454, 1993, 519, 2104, 281, 513, 328, 19274, 3218, 592, 14241, 454, 13750, 5742, 281, 1133, 328, 2317, 320, 632, 3557, 454, 9418, 1047, 281, 521, 26324, 8275, 2763, 454, 26132, 3853, 281, 1073, 328, 624, 633, 548, 561, 528, 692, 3721, 476, 274, 281, 11352, 519, 1913, 543, 2453, 538, 513, 19016, 1227, 2953, 1259, 538, 4936, 1014, 267, 2921, 883, 2272, 1641, 268, 14620, 268, 15953, 630, 306, 309, 302, 264, 2497, 543, 1110, 604, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 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, 7170, 281, 4197, 623, 23635, 543, 4706, 18726, 17583, 692, 7072, 912, 5331, 2348, 2699, 267, 1085, 3315, 15649, 593, 707, 2960, 602, 616, 28349, 543, 3006, 11213, 269, 1452, 15649, 666, 2408, 9170, 855, 1034, 1419, 1397, 909, 593, 519, 19704, 267, 1714, 28647, 267, 21435, 267, 543, 2539, 1394, 269, 1280, 930, 1004, 267, 713, 568, 741, 4641, 910, 789, 2661, 609, 513, 2783, 1572, 27728, 269, 2913, 781, 4685, 883, 1018, 3123, 27728, 267, 922, 4276, 547, 11976, 267, 543, 875, 1978, 6090, 1522, 3310, 713, 2960, 4524, 780, 1432, 1772, 623, 23635, 888, 303, 23635, 568, 606, 12982, 2960, 2783, 7133, 6634, 540, 1004, 5001, 269, 898, 4523, 950, 938, 1560, 779, 8878, 1062, 1107, 519, 4761, 1062, 1107, 15920, 856, 25768, 6786, 602, 3432, 909, 519, 2208, 4783, 540, 2960, 2281, 269, 28611, 267, 2960, 2281, 1332, 7444, 543, 1166, 820, 1055, 827, 1169, 2185, 4374, 269, 1717, 267, 538, 27728, 267, 1007, 2960, 2281, 1847, 547, 519, 2627, 865, 6385, 602, 789, 18061, 909, 1354, 789, 666, 8774, 267, 4929, 5394, 3623, 854, 10253, 543, 2699, 15649, 780, 7049, 525, 7591, 589, 10020, 912, 19950, 5944, 267, 1382, 5267, 602, 972, 949, 581, 513, 3095, 1063, 27728, 543, 938, 6090, 269, 13018, 267, 835, 1880, 5444, 1634, 607, 17692, 296, 295, 272, 814, 9575, 3744, 262, 3007, 269, 1677, 1174, 1946, 267, 1577, 781, 1101, 2263, 1018, 713, 5444, 1281, 780, 25603, 9253, 534, 5448, 7756, 2747, 5025, 1087, 18620, 19871, 476, 276, 630, 300, 6395, 276, 2187, 9281, 296, 295, 272, 1958, 3941, 513, 3940, 1572, 631, 6395, 276, 799, 6411, 899, 513, 3354, 9856, 3330, 938, 2281, 269, 1879, 513, 3644, 1045, 3547, 267, 631, 6395, 276, 17767, 621, 543, 12153, 606, 15372, 267, 1437, 908, 519, 31785, 517, 13374, 269, 3955, 2536, 976, 616, 5946, 5950, 676, 3984, 2281, 538, 3210, 547, 8290, 267, 9117, 607, 15202, 6675, 547, 10332, 7404, 2281, 540, 1761, 6937, 269, 26243, 267, 631, 6395, 276, 2337, 4339, 1996, 10194, 5563, 780, 4913, 267, 1919, 1205, 7294, 950, 621, 2501, 547, 27728, 1317, 631, 6395, 276, 2157, 2333, 711, 1152, 1282, 10194, 5563, 855, 849, 538, 16991, 2175, 971, 607, 27728, 269, 12207, 3494, 602, 936, 5562, 631, 6395, 276, 1223, 3565, 547, 5312, 6553, 2938, 538, 891, 4713, 780, 24868, 1218, 2986, 17692, 296, 295, 272, 22319, 23105, 2060, 16842, 11485, 912, 14722, 4362, 1808, 7648, 1369, 519, 17692, 296, 295, 272, 5444, 630, 21406, 19301, 11679, 610, 2582, 30859, 26340, 3359, 264, 602, 3100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1235, 454, 12812, 593, 3733, 7732, 1315, 3733, 700, 1235, 543, 594, 786, 1491, 596, 972 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 997, 1154, 593, 519, 1895, 2175, 540, 1272, 7229, 547, 3142, 827, 922, 2168, 9552, 538, 2898, 610, 538, 851, 3248, 268, 630, 323, 264, 1955, 19397, 3800, 5497, 547, 2061, 24570, 1369, 519, 1895, 3248, 268, 630, 324, 264, 1280, 322, 4601, 22151, 1453, 540, 519, 1895, 547, 1776, 1895, 23102, 13482, 593, 519, 10644, 543, 15722, 7321, 540, 519, 17235, 540, 2637, 17462, 267, 9137, 476, 273, 454, 303, 684, 27720, 6411, 1331, 21393, 543, 849, 635, 13109, 538, 543, 8942, 267, 24242, 267, 610, 1651, 924, 618, 547, 3479, 21393, 267, 543, 6105, 547, 519, 15007, 723, 606, 17185, 547, 2061, 543, 16401, 873, 563, 23219, 10963, 538, 519, 476, 1708, 273, 6739, 12289, 540, 12907, 454, 763, 1480, 2924, 3906, 2549, 333, 17965, 4139, 543, 5274, 7126, 13772, 6592, 2527, 2665, 540, 10963, 676, 519, 6739, 20331, 17086, 1996, 21127, 1282, 519, 476, 1708, 273, 6739, 12289, 540, 12907, 267, 1519, 25711, 267, 4291, 1903, 267, 22149, 543, 561, 17415, 269, 2991, 519, 29246, 320, 32003, 267, 3397, 333, 11726, 338, 11910, 600, 731, 267, 14199, 4937, 540, 2549, 333, 17965, 4139, 267, 1767, 602, 10963, 8149, 834, 732, 711, 9678, 13685, 543, 616, 2693, 851, 540, 606, 1256, 3677, 4806, 540, 2112, 10963, 267, 1519, 3063, 9080, 2772, 4291, 1903, 267, 25711, 543, 22149, 538, 824, 13026, 4525, 540, 12907, 4799, 6097, 547, 3220, 269, 10793, 20242, 1782, 540, 519, 9576, 17434, 4659, 585, 16470, 5525, 267, 891, 3527, 616, 851, 540, 519, 6739, 14985, 540, 4550, 28621, 20482, 8759, 13137, 269, 4706, 3804, 568, 834, 1729, 1491, 20947, 593, 519, 2551, 585, 519, 2912, 13369, 547, 5706, 1701, 20242, 1782, 7074, 602, 2147, 12485, 941, 1031, 538, 519, 5822, 4258, 7770, 2782, 267, 538, 519, 15787, 4655, 267, 543, 1282, 2622, 2782, 4083, 563, 763, 6896, 2470, 540, 519, 6146, 902, 540, 21127, 729, 4080, 676, 13222, 540, 519, 4987, 2950, 540, 4279, 6628, 543, 5125, 269, 634, 2212, 540, 3703, 4987, 24696, 277, 267, 9400, 18703, 267, 538, 4276, 609, 519, 6146, 902, 538, 29246, 320, 267, 7074, 281, 834, 2171, 6785, 602, 30922, 781, 4566, 585, 519, 12289, 3769, 3063, 9080, 2772, 4291, 1903, 676, 519, 4108, 543, 2027, 2533, 4799, 4002, 476, 278, 4989, 267, 4436, 12139, 14216, 1975, 20672, 601, 3370, 1239, 689, 513, 4436, 4987, 1867, 547, 519, 25143, 652, 698, 3812, 593, 476, 277, 4989, 269, 4340, 547, 519, 1239, 540, 5925, 954, 8526, 21350, 5367, 676, 519, 14618, 12579, 267, 6739, 4108, 10986, 5645, 856, 6146, 902, 540, 21127, 543, 4291, 1903, 540, 21977, 14586, 540, 2112, 1310, 789, 23384, 606, 23827, 566, 269, 1548, 729, 4330, 538, 873, 5330, 539, 547, 519, 4087, 540, 519, 4703, 1336, 538, 29246, 320, 269, 14216, 1975, 20672, 601, 3357, 547, 519, 3932, 602, 789, 4951, 602, 519, 2527, 659, 637, 941, 9444, 4351, 3527, 6862, 29065, 11036, 540, 930, 4108, 269, 13518, 811, 2693, 267, 891, 2326, 5815, 602, 519, 6146, 902, 540, 21127, 1223, 581, 851, 540, 513, 834, 27234, 4640, 257, 547, 834, 842, 574, 28371, 519, 19742, 2551, 543, 16401, 4187, 4799, 763, 4139, 18966, 585, 5274, 7126, 543, 922, 24988, 538, 12907, 267, 519, 4741, 585, 6406, 19115, 625, 630, 5425, 293, 1070, 4080, 2963, 540, 519, 585, 24862, 4483, 540, 21127, 676, 519, 6739, 4108, 689, 519, 14850, 773, 3022, 25795, 1575, 565, 547, 6576, 267, 543, 519, 5213, 1115, 330, 543, 700, 7795, 13089, 21933, 6814, 267, 543, 17235, 320, 1210, 519, 2259, 540, 19288, 13122, 269, 4340, 547, 519, 11483, 293, 267, 3885, 941, 9674, 267, 543, 6054, 543, 11436, 941, 1476, 4593, 730, 269, 4340, 547, 519, 11483, 293, 267, 6739, 4229, 849, 15286, 21127, 689, 8429, 998, 19493, 23725, 832, 547, 519, 1875, 268, 31039, 2694, 540, 12907, 267, 6679, 3595, 593, 873, 269, 4340, 547, 21977, 8387, 267, 519, 1482, 2259, 729, 1031, 676, 6739, 10136, 538, 5681, 344, 267, 10609, 1046, 643, 543, 19109, 643, 563, 763, 8689, 540, 2549, 333, 17965, 4139, 12907, 267, 538, 606, 5967, 609, 1546, 583, 22385, 654, 16279, 593, 476, 275, 4989, 476, 1708, 273, 267, 15034, 6576, 540, 1210, 6098, 12485, 547, 632, 10968, 519, 19742, 2551, 538, 14850, 773, 3022, 4872, 630, 23437, 9200, 2299, 5969, 1055, 1569, 547, 1426, 267, 1216, 267, 5201, 267, 543, 3002, 3761, 264, 543, 8744, 873, 547, 513, 19493, 31685, 269, 1703, 941, 7074, 2665, 540, 17527, 19493, 23725, 832, 267, 7387, 532, 540, 21772, 267, 11318, 540, 21127, 945, 6836, 547, 4734, 519, 14850, 773, 3022, 4872, 563, 4002, 476, 736, 4864, 476, 1708, 273, 267, 519, 8628, 11347, 540, 519, 6739, 18966, 547, 3486, 3906, 538, 21499, 267, 631, 16554, 841, 772, 569, 534, 990, 267, 538, 3210, 547, 519, 2022, 540, 7064, 547, 519, 5518, 540, 12907, 267, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 344, 267, 585, 519, 1007, 10189, 540, 4108, 5351, 689, 519, 2136, 2276, 267, 3370, 513, 2022, 593, 12108, 10912, 593, 519, 21977, 2551, 711, 547, 581, 838, 1563, 269, 13536, 267, 772, 569, 534, 990, 25216, 1010, 2022, 269, 634, 30626, 540, 519, 7638, 16223, 990, 3534, 681, 3385, 540, 12907, 15570, 17427, 853, 1030, 21123, 4157, 4300, 4705, 547, 5518, 540, 15212, 12138, 11709, 3541, 13852, 523, 543, 26554, 27891, 20913, 3026, 5069, 1067, 14053, 547, 5431, 631, 16554, 841, 772, 569, 534, 990, 607, 1268, 320, 1875, 1989, 1092, 543, 547, 1244, 677, 1864, 547, 519, 6739, 18966, 1813, 547, 1010, 1024, 665, 10537, 7125, 563, 4002, 476, 2537, 4728, 476, 1708, 273, 267, 519, 1530, 329, 332, 540, 12996, 7550, 513, 6571, 593, 519, 10243, 676, 6576, 540, 2112, 10963, 267, 10963, 1996, 8103, 267, 543, 19374, 540, 1480, 2924, 593, 519, 8513, 540, 12907, 269, 769, 13076, 609, 519, 6571, 267, 12996, 28715, 6411, 540, 21393, 543, 824, 19374, 540, 3486, 1876, 8149, 676, 6739, 10136, 593, 519, 8513, 540, 12907, 269, 634, 6571, 2829, 602, 891, 10963, 941, 8149, 834, 517, 519, 9753, 540, 519, 4108, 19524, 2987, 268, 27815, 5518, 32157, 30922, 8487, 4002, 476, 1691, 4989, 476, 1708, 273, 267, 519, 7638, 16223, 990, 3534, 681, 3385, 540, 12907, 7550, 513, 6571, 267, 834, 4002, 519, 10243, 540, 21393, 538, 12907, 676, 519, 6739, 18966, 2580, 538, 799, 519, 3527, 540, 519, 6739, 10136, 543, 519, 6739, 5718, 538, 12907, 616, 6444, 607, 21393, 540, 519, 21977, 1004, 269, 769, 13076, 609, 519, 3948, 540, 519, 681, 3385, 593, 519, 6571, 267, 6411, 540, 21393, 676, 6576, 3769, 912, 268, 2527, 32012, 885, 8149, 676, 6739, 10136, 538, 519, 17303, 13026, 11182, 454, 268, 9836, 2665, 540, 519, 20982, 11318, 540, 21127, 454, 268, 2527, 1244, 677, 725, 540, 519, 19742, 2551, 454, 268, 519, 4483, 540, 19774, 21977, 1453, 883, 519, 2069, 1062, 540, 519, 6739, 18966, 454, 268, 23069, 543, 6098, 9552, 540, 2804, 5989, 6703, 454, 268, 11528, 3527, 540, 519, 6739, 18966, 267, 2966, 585, 519, 16795, 9552, 540, 519, 21977, 1004, 454, 1103, 4873, 476, 1708, 273, 267, 513, 536, 760, 691, 16388, 1895, 538, 519, 2136, 2276, 6837, 5189, 513, 6571, 1915, 1944, 6739, 3527, 538, 12907, 607, 21393, 267, 543, 538, 5147, 519, 2475, 14130, 1705, 865, 267, 855, 9444, 814, 1044, 8815, 607, 540, 5437, 476, 1708, 273, 314, 26303, 14073, 8266, 540, 2477, 267, 799, 5431, 519, 5571, 2621, 538, 12907, 607, 21393, 912, 268, 12996, 630, 785, 1311, 6284, 25011, 743, 541, 2305, 2877, 2639, 268, 16231, 6243, 454, 13750, 906, 676, 8387, 543, 3906, 454, 291, 904, 1310, 519, 6602, 540, 2963, 540, 519, 29246, 320, 32003, 267, 21977, 5518, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 344, 10294, 602, 12907, 729, 7680, 606, 13986, 21393, 269, 14470, 5518, 1656, 337, 2763, 329, 667, 19085, 267, 11788, 10579, 540, 12996, 631, 622, 639, 345, 5651, 1177, 773, 1188, 328, 267, 11788, 10579, 540, 8050, 31883, 5842, 31712, 267, 18207, 1014, 5518, 594, 341, 17505, 13660, 4302, 267, 1977, 5518, 15608, 24068, 267, 543, 11788, 10579, 540, 4516, 3807, 514, 2558, 8775, 879, 849, 12290, 519, 3510, 538, 12907, 607, 513, 21393, 269, 3703, 11788, 10579, 16907, 529, 9652, 1767, 602, 834, 1492, 32012, 885, 538, 29246, 320, 616, 711, 2484, 689, 21393, 4799, 4002, 476, 1724, 4989, 476, 1708, 273, 267, 3943, 5518, 2506, 28609, 5839, 1258, 1767, 646, 4941, 547, 581, 834, 3249, 995, 609, 2474, 2580, 15819, 519, 28252, 540, 519, 834, 525, 5632, 566, 540, 1913, 257, 547, 1439, 519, 2112, 267, 28408, 602, 834, 305, 17892, 796, 559, 831, 958, 9250, 513, 22266, 2112, 267, 543, 621, 568, 1631, 3964, 602, 2112, 10963, 941, 8149, 676, 519, 6739, 7952, 1848, 2098, 601, 839, 5652, 344, 22309, 5839, 1258, 781, 18572, 563, 763, 2353, 27138, 330, 1778, 1014, 7027, 540, 932, 11699, 543, 16241, 20871, 1572, 593, 1169, 1533, 538, 519, 1158, 547, 5431, 519, 21393, 540, 519, 21977, 1004, 1282, 519, 476, 1708, 273, 6739, 12289, 543, 18149, 333, 519, 16809, 540, 519, 834, 305, 11701, 1158, 8487, 19617, 2730, 824, 1533, 3401, 543, 8387, 723, 1500, 6898, 827, 519, 3390, 563, 7049, 17462, 13772, 267, 513, 6115, 267, 667, 5861, 269, 1759, 1875, 3766, 21194, 3919, 8547, 676, 27068, 853, 656, 517, 267, 9783, 513, 2637, 17462, 17073, 1325, 1068, 538, 4989, 476, 1708, 273, 910, 934, 6748, 6576, 540, 22867, 21393, 1996, 19678, 2103, 3842, 513, 3609, 540, 834, 7875, 8336, 8487, 20059, 580, 725, 543, 5359, 454, 21893, 1867, 13408, 606, 4830, 14374, 883, 2436, 519, 6739, 18966, 12217, 3557, 5539, 585, 23563, 540, 519, 2637, 17462, 13482, 538, 922, 12289, 540, 12907, 543, 20147, 972, 616, 912, 268, 476, 272, 264, 10257, 12406, 547, 9959, 6576, 568, 3743, 585, 630, 328, 264, 1463, 543, 1857, 1651, 924, 618, 547, 3479, 21393, 267, 543, 630, 4512, 264, 513, 4806, 540, 32012, 885, 689, 799, 606, 23221, 540, 8247, 547, 6861, 519, 21977, 3084, 1895, 538, 851, 666, 581, 6537, 282, 543, 454, 268, 476, 273, 264, 519, 6228, 540, 513, 3978, 1981, 540, 21393, 538, 12907, 267, 24254, 519, 3656, 17185, 540, 782, 2276, 547, 2061, 21393, 4799, 5715, 8817, 13751, 5811, 540, 519, 6739, 18966, 781, 6601, 2851, 540, 519, 2637, 17462, 13482, 538, 12907, 543, 519, 667, 14280, 547, 16473, 454, 1103, 2038, 4728, 476, 1708, 273, 267, 519, 12751, 1160, 5913, 12460, 540, 519, 4139, 22518, 7040, 267, 10127, 574, 13259, 24703, 16679, 267, 1310, 13844, 6101, 3277, 23552, 689, 476, 4375, 2477, 267, 3323, 519, 5123, 540, 513, 2407, 7634, 540, 2112, 10963, 267, 543, 10963, 1996, 8103, 610, 21393, 538, 12907, 834, 2421, 1022, 1268, 257, 2094, 5437, 476, 1001, 274, 269, 13405, 547, 476, 1708, 273, 267, 519, 16861, 6514, 1185, 1336, 834, 516, 32208, 12406, 585, 18468, 602, 10963, 1369, 519, 16278, 540, 519, 5480, 723, 1044, 8149, 257, 543, 834, 30009, 1761, 2665, 602, 1131, 581, 8098, 24777, 4799, 4002, 476, 275, 4728, 476, 1708, 273, 519, 6167, 5274, 7126, 7027, 2813, 606, 18763, 4139, 8189, 540, 769, 11431, 593, 12907, 883, 19374, 540, 1480, 2924, 543, 540, 3486, 19493, 1876, 269, 4033, 13753, 540, 2112, 10963, 941, 849, 5645, 856, 14384, 896, 8471, 16278, 267, 519, 703, 328, 2209, 540, 799, 941, 4830, 2829, 563, 4002, 476, 2767, 2904, 476, 1708, 273, 267, 513, 1867, 676, 1715, 20514, 4659, 585, 15613, 543, 8889, 543, 14780, 9567, 9931, 28086, 10418, 585, 5274, 7126, 11943, 602, 972, 941, 10257, 12406, 547, 9959, 602, 6576, 1786, 3737, 1079, 4930, 540, 519, 476, 3707, 279, 2637, 17462, 13482, 267, 676, 15597, 1651, 1746, 21393, 998, 24677, 540, 519, 1318, 540, 12907, 607, 513, 1533, 543, 19678, 2103, 607, 513, 4182, 547, 2291, 267, 543, 676, 519, 585, 24862, 4483, 540, 21977, 1453, 547, 6576, 267, 799, 568, 513, 1024, 665, 10537, 957, 896, 2376, 4083, 540, 519, 15007, 269, 589, 14579, 8889, 2376, 17019, 602, 32157, 30922, 781, 3804, 729, 547, 834, 518, 848, 12907, 607, 513, 2797, 543, 3084, 11769, 543, 547, 4072, 1518, 922, 11317, 2580, 2495, 519, 1867, 5713, 607, 513, 9963, 602, 6576, 781, 2112, 1223, 1831, 21393, 563, 4002, 476, 2537, 4864, 476, 1708, 273, 267, 606, 4879, 676, 519, 4659, 585, 519, 5530, 540, 2782, 19528, 602, 21977, 1453, 616, 1373, 7550, 676, 6739, 3885, 543, 15109, 602, 834, 1492, 585, 24862, 4483, 540, 1453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9331, 476, 29300, 910, 3203, 17235, 281, 634, 14730, 17121, 540, 11370, 3539, 543, 590, 2454, 3203, 454, 24979, 1307, 1996, 2518, 2686, 2200, 616, 513, 3818, 1532, 11669, 13362, 1870, 602, 2501, 538, 1082, 1368, 2478, 269, 27824, 569, 568, 621, 519, 4357, 21689, 945, 554, 2231, 519, 632, 2548, 1515, 555, 3971, 547, 21102, 606, 1843, 538, 513, 2283, 1049, 646, 626, 269, 1703, 616, 1082, 5837, 267, 5683, 543, 7810, 8456, 799, 3565, 547, 519, 5571, 14226, 540, 2528, 543, 6561, 5001, 563, 2791, 786, 581, 5189, 547, 519, 18632, 2427, 540, 519, 3486, 4346, 540, 1148, 543, 1884, 1172, 885, 1107, 945, 862, 1080, 1148, 10963, 267, 519, 1764, 593, 2528, 267, 945, 519, 18046, 543, 23965, 616, 267, 543, 519, 1198, 540, 2112, 267, 4838, 543, 19525, 593, 1148, 543, 2528, 563, 3528, 12032, 540, 713, 1576, 267, 3811, 1053, 786, 581, 2111, 547, 912, 268, 10576, 2707, 2477, 543, 875, 519, 17403, 540, 1884, 1172, 885, 14796, 4529, 454, 268, 25506, 519, 13766, 540, 13059, 1148, 543, 2686, 3615, 547, 2707, 2477, 11305, 30743, 454, 268, 11512, 519, 1198, 540, 1148, 10963, 593, 4516, 270, 4692, 21808, 454, 268, 10812, 519, 2360, 540, 1148, 17403, 593, 2123, 1148, 16306 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 20776, 21215, 9983, 269, 634, 4957, 1101, 3948, 2306, 513, 1007, 3409, 267, 799, 5012, 547, 513, 3791, 3409, 267, 6038, 546, 24387, 1109, 7798, 532, 547, 513, 8772, 5180, 1384, 16248, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 20023, 7132, 4642, 11224, 4642, 563, 1892, 722, 488, 20023, 7132, 4642, 11224, 4642, 563, 1892, 722, 488, 476, 587, 488, 3080, 32674, 20023, 7132, 476, 587, 488, 821, 32674, 4642, 11224, 476, 587, 488, 18314, 587, 488, 4642, 780, 7922, 785, 2515, 3376, 2515, 269, 634, 4957, 1101, 3948, 568, 1100, 3476, 3020, 256, 901, 8772, 3942, 1281, 711, 2270, 1614, 2338, 602, 1223, 581, 4957, 269, 4935, 1142, 14469, 267, 3056, 782, 519, 1259, 1394, 547, 519, 1101, 1689, 267, 2965, 8659, 513, 7301, 3948, 256, 722, 480, 589, 2346, 267, 1175, 835, 2009, 2626, 1310, 782, 2496, 31917, 9983, 10678, 269, 570, 5281, 856, 602, 513, 4570, 15428, 268, 8010, 5832, 666, 2253, 609, 513, 1114, 1297, 780, 3080, 32674, 9050, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 2290, 7132, 835, 11224, 1079, 563, 1892, 722, 488, 5565, 7132, 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 5472, 6898, 616, 8197, 3020, 1317, 789, 666, 3132, 1384, 3080, 32674, 9050, 20023, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 587, 488, 3080, 32674, 20023, 7132, 476, 587, 488, 821, 32674, 4642, 11224, 476, 587, 488, 18314, 587, 488, 4642, 563, 1892, 722, 488, 5565, 7132, 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 1607, 568, 2479, 811, 4277, 982, 519, 3355, 3070, 607, 1134, 607, 922, 3312, 24909, 780, 306, 675, 2614, 267, 538, 519, 6891, 540, 2073, 606, 27644, 2626, 5012, 547, 513, 4898, 2685, 12808, 8390, 267, 1851, 1866, 780, 272, 587, 488, 476, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 1015, 815, 476, 1428, 780, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 587, 488, 272, 587, 488, 273, 587, 488, 271, 815, 476, 587, 488, 272, 587, 488, 273, 587, 488, 276, 780, 7617, 666, 2611, 3020, 676, 20367, 1439, 8393, 609, 1384, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 32674, 273, 587, 488, 272, 587, 488, 271, 815, 476, 32674, 273, 587, 488, 272, 587, 488, 276, 780, 300, 2660, 540, 1249, 267, 950, 782, 2418, 616, 6719, 25274, 267, 1169, 1297, 540, 2242, 909, 547, 476, 1321, 263, 14386, 666, 581, 10645, 547, 960, 780, 272, 587, 488, 476, 1321, 476, 876, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 587, 488, 272, 587, 488, 271, 1341, 476, 587, 488, 272, 587, 488, 271, 815, 476, 587, 488, 273, 587, 488, 271, 563, 1892, 722, 488, 476, 587, 488, 273, 587, 488, 271, 1341, 476, 587, 488, 273, 587, 488, 271, 815, 476, 1109, 275, 587, 488, 271, 563, 1892, 722, 488, 476, 587, 488, 276, 587, 488, 271, 1341, 476, 587, 488, 272, 587, 488, 271, 587, 488, 271, 815, 476, 587, 488, 1428, 587, 488, 876, 780, 1432, 513, 19046, 547, 1205, 547, 14255, 1947, 4194, 5705, 569, 1950, 7493, 13410, 602, 941, 2760, 2965, 2219, 909, 676, 4896, 269, 2368, 13410, 616, 2813, 855, 713, 835, 729, 4362, 269, 0, 20332, 2845, 1966, 692, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 6860, 6751, 454, 323, 18182, 27628, 454, 20332, 2845, 1966, 454, 296, 723, 547, 1265, 519, 1101, 12045, 540, 586, 284, 23692, 9230, 272, 2275, 657, 3287, 4297, 14370, 272, 266, 6523, 3287, 4297, 2020, 1492, 12045, 540, 519, 23692, 568, 476, 272, 266, 6523, 3287, 8358, 272, 2275, 657, 3287, 2020, 663, 519, 12045, 540, 519, 6418, 1599, 568, 1384, 9230, 272, 266, 6523, 343, 264, 630, 7562, 343, 264, 910, 630, 272, 2275, 657, 3287, 264, 11196, 7562, 343, 994, 5785, 734, 8894, 263, 272, 266, 6523, 3287, 4297, 317, 273, 692, 328, 1287, 16611, 543, 3893, 692, 263, 272, 266, 6523, 3287, 4297, 263, 7562, 343, 1341, 5609, 343, 6523, 343, 266, 7562, 343, 1606, 514, 343, 6523, 343, 994, 10900, 955, 454, 263, 272, 266, 6523, 3287, 4297, 317, 273, 2608, 476, 272, 2275, 657, 3287, 2020, 1729, 2973, 713, 909, 1384, 273, 7562, 343, 2608, 630, 272, 266, 6523, 3287, 4917, 10900, 955, 815, 586, 7055, 263, 272, 266, 6523, 3287, 4297, 317, 273, 2608, 476, 272, 2275, 657, 3287, 2020, 5475, 666, 576, 1782, 856, 8631, 1384, 273, 7562, 343, 454, 2411, 19203, 815, 586, 7055, 272, 2275, 657, 343, 317, 273, 692, 268, 476, 273, 7562, 343, 454, 2411, 19203, 815, 586, 7055, 6523, 343, 317, 273, 268, 272, 692, 3674, 713, 8806, 513, 2339, 540, 1175, 14921, 1312, 540, 891, 676, 910, 272, 286, 888, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 5881, 6751, 454, 5719, 321, 560, 320, 454, 312, 788, 1175, 9062, 1283, 543, 5377, 676, 910, 272, 269, 1411, 4312, 2944, 782, 519, 2182, 960, 256, 4270, 2944, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 3066, 6751, 454, 323, 18182, 27628, 454, 638, 1157, 2243, 267, 729, 972, 513, 1978, 7778, 585, 14921, 1312, 1003, 543, 14009, 676, 910, 272, 1862, 1175, 6998, 585, 2104, 4704, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6187, 281, 4029, 6751, 454, 5719, 321, 560, 320, 454, 2791, 1810, 1405, 723, 547, 798, 602, 2063, 1900, 269, 2659, 2626, 568, 1175, 607, 2953, 269, 1924, 952, 596, 11074, 1141, 596, 1705, 267, 596, 2811, 1869, 2953, 269, 898, 781, 4990, 540, 899, 952, 596, 1767, 513, 17070, 543, 789, 1767, 536, 266, 320, 267, 1287, 789, 616, 1312, 519, 1482, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 5881, 281, 736, 6751, 454, 323, 18182, 27628, 454, 2129, 21453, 1862, 9684, 596, 1360, 1454, 8627, 0, 258, 11660, 3502, 566, 692, 1012, 5675, 543, 2542, 3621, 10035, 692, 8867, 12069, 616, 595, 298, 268, 1321, 781, 2875, 9740, 2157, 563, 21995, 4841, 20083, 547, 713, 1377, 723, 513, 9864, 17117, 540, 32563, 1702, 543, 1983, 4909, 585, 21295, 960, 563, 4263, 6103, 630, 30267, 17087, 264, 4841, 20083, 547, 713, 1377, 723, 7152, 28671, 936, 4101, 1641, 2339, 267, 1519, 1641, 2339, 1702, 267, 3498, 540, 971, 1702, 547, 1483, 8996, 3871, 267, 543, 10763, 1983, 3617, 547, 1641, 2339, 563, 28723, 4841, 20083, 547, 713, 1377, 616, 4712, 585, 1570, 602, 3340, 9120, 2773, 543, 17117, 780, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 276, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1428, 692, 1012, 3848, 476, 280, 4534, 10417, 476, 280, 269, 275, 281, 11660, 3502, 566, 630, 8893, 2020, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 21844, 367, 376, 17432, 503, 32510, 479, 21844, 372, 364, 424, 486, 502, 423, 366, 499, 692, 422, 367, 376, 17432, 503, 32510, 479, 21844, 372, 364, 424, 486, 502, 423, 366, 499, 14602, 502, 10563, 480, 361, 424, 504, 358, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 630, 290, 268, 272, 2020, 2421, 700, 3041, 291, 18520, 4569, 12262, 520, 3446, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 543, 9208, 4813, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 5564, 28745, 25024, 609, 519, 23893, 12476, 281, 11660, 3502, 566, 692, 2421, 24700, 11403, 10789, 594, 12262, 520, 3446, 454, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 1548, 568, 11660, 3502, 566, 2496, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 824, 9136, 950, 789, 616, 13401, 3079, 540, 1523, 1302, 8204, 519, 3527, 269, 1703, 568, 1100, 6654, 2095, 540, 942, 998, 519, 11708, 7175, 835, 547, 2626, 519, 2243, 267, 1548, 4523, 1985, 27085, 769, 713, 3308, 6388, 267, 8713, 3096, 8901, 3347, 547, 1489, 519, 22464, 540, 3615, 269, 5565, 1523, 9136, 538, 519, 1482, 3113, 602, 3568, 519, 1482, 1826, 2361, 267, 855, 1100, 1201, 5166, 2361, 267, 616, 10924, 547, 2099, 1079, 1114, 8216, 9911, 540, 519, 1482, 12497, 2856, 269, 1677, 723, 1079, 1114, 6935, 9136, 267, 519, 9136, 949, 581, 3957, 630, 326, 1508, 513, 1201, 5166, 264, 538, 1931, 547, 6542, 1114, 8320, 540, 513, 2078, 269, 4039, 566, 9136, 798, 711, 13461, 593, 3448, 13307, 540, 519, 1843, 9136, 547, 4163, 1022, 2495, 269, 7843, 1602, 531, 3527, 616, 17697, 569, 6719, 676, 519, 4657, 540, 824, 9136, 538, 519, 3113, 269, 10251, 267, 713, 568, 2864, 899, 1603, 513, 1982, 1175, 676, 28408, 519, 9115, 540, 4632, 1152, 267, 6028, 519, 7084, 540, 3527, 547, 581, 22466, 269, 12344, 621, 1131, 581, 1732, 547, 2099, 942, 609, 513, 3791, 10155, 267, 1210, 519, 14839, 540, 1982, 11056, 1934, 1547, 476, 276, 269, 10439, 15789, 8950, 3292, 616, 11269, 540, 513, 5311, 540, 2621, 630, 332, 22389, 3009, 5528, 1070, 1141, 1142, 2680, 666, 581, 10924, 547, 14892, 11046, 1227, 269, 22682, 267, 3292, 723, 519, 2556, 6422, 4162, 547, 1489, 27564, 1702, 1210, 519, 13210, 540, 5752, 4654, 269, 4107, 5752, 4654, 267, 2705, 267, 616, 1257, 2861, 543, 519, 1620, 540, 513, 1982, 12346, 593, 1893, 4393, 269, 9208, 2542, 540, 513, 1982, 3081, 602, 2621, 4755, 18615, 569, 8259, 621, 568, 1016, 30062, 676, 513, 2027, 1852, 2095, 7271, 799, 2636, 513, 7914, 689, 835, 4835, 2985, 540, 3965, 547, 1776, 269, 7956, 2861, 4654, 840, 2850, 519, 5383, 6035, 676, 3308, 6041, 543, 972, 568, 1100, 1463, 6041, 540, 1852, 2095, 269, 769, 1249, 267, 1256, 952, 519, 2680, 540, 7914, 568, 3989, 267, 621, 568, 609, 513, 3616, 541, 894, 4020, 267, 711, 27564, 563, 277, 7612, 476, 275, 281, 589, 11822, 4578, 6363, 869, 20309, 4937, 3308, 4654, 476, 1039, 513, 3308, 4020, 602, 666, 581, 1031, 607, 513, 27564, 6041, 540, 1852, 2095, 269, 901, 4020, 2097, 689, 1239, 32704, 4654, 476, 543, 3096, 513, 6198, 2203, 7132, 11056, 593, 4570, 840, 268, 1718, 1431, 547, 5581, 519, 1852, 2095, 540, 606, 4082, 269, 7612, 476, 275, 2982, 513, 2241, 1239, 32704, 6516, 540, 606, 12980, 4082, 476, 274, 2608, 630, 275, 1341, 476, 276, 1040, 769, 713, 1383, 267, 1142, 5106, 568, 13401, 1152, 950, 782, 922, 11378, 616, 1459, 269, 634, 8691, 5106, 3976, 666, 711, 14892, 2394, 519, 1840, 5106, 568, 2347, 269, 14938, 9760, 540, 4238, 568, 3976, 24458, 1317, 540, 519, 4096, 1878, 1063, 4238, 269, 769, 1034, 1239, 32704, 3631, 267, 11378, 689, 824, 4238, 616, 10057, 676, 519, 1985, 5106, 267, 799, 840, 11079, 519, 11056, 540, 519, 5106, 1586, 2394, 4195, 11378, 616, 3177, 269, 769, 713, 6986, 1239, 32704, 2203, 267, 972, 568, 1100, 1982, 1533, 2094, 972, 616, 1100, 4632, 547, 11677, 741, 2418, 269, 7956, 2861, 6198, 4654, 899, 700, 7371, 610, 16066, 723, 606, 3773, 4183, 547, 2285, 4756, 6438, 6703, 269, 1717, 267, 3308, 4654, 1118, 713, 1852, 2095, 811, 10694, 1317, 789, 1831, 513, 11134, 585, 8204, 27564, 1702, 269, 901, 5413, 267, 2705, 267, 1281, 711, 2097, 1510, 2721, 19758, 269, 4014, 5276, 610, 1256, 6252, 9696, 540, 4238, 616, 1134, 6719, 2073, 1239, 32704, 3631, 723, 8373, 609, 2783, 1023, 543, 17787, 269, 1703, 568, 267, 2705, 267, 606, 4540, 3308, 6041, 1634, 607, 2095, 577, 11301, 267, 799, 946, 519, 4216, 543, 15561, 10035, 547, 5815, 1852, 2095, 538, 513, 2780, 1982, 269, 8058, 532, 2783, 1023, 543, 17787, 538, 713, 6041, 568, 1100, 1966, 267, 865, 711, 908, 513, 7914, 689, 835, 3684, 4971, 547, 1776, 666, 581, 6719, 676, 32750, 513, 1449, 269, 1403, 649, 1491, 891, 1079, 11269, 543, 10210, 519, 4839, 4221, 2856, 689, 2095, 24577, 532, 543, 3082, 621, 547, 519, 1239, 32704, 2203, 267, 649, 1205, 513, 3308, 6041, 602, 666, 6023, 1852, 2095, 1519, 2783, 1023, 543, 17787, 676, 13576, 1239, 835, 540, 1079, 2081, 267, 3079, 540, 4890, 1852, 269, 769, 4137, 476, 276, 267, 649, 1397, 875, 713, 666, 960, 585, 513, 1449, 5473, 7862, 547, 4642, 269, 769, 713, 1383, 267, 29491, 2418, 616, 5293, 607, 11378, 547, 513, 2027, 10766, 5106, 602, 10596, 922, 3403, 547, 835, 540, 1079, 533, 8083, 4470, 593, 519, 1871, 540, 519, 29491, 3403, 269, 634, 1482, 2856, 666, 581, 2944, 609, 17787, 563, 278, 7612, 476, 276, 281, 589, 4578, 6363, 869, 16448, 531, 476, 277, 269, 21992, 906, 538, 8713, 7351, 7760, 547, 8713, 1246, 689, 519, 18631, 4901, 269, 2334, 568, 267, 952, 649, 1491, 938, 6905, 595, 294, 6041, 267, 519, 3105, 8713, 267, 543, 19467, 621, 609, 519, 1239, 32704, 270, 6503, 24577, 6041, 5941, 538, 3296, 476, 276, 267, 519, 4611, 3308, 6041, 1893, 19306, 1312, 1826, 540, 1702, 538, 835, 10035, 269, 2913, 721, 960, 998, 606, 1383, 267, 3168, 1101, 693, 513, 6093, 3616, 541, 894, 6041, 540, 606, 2962, 538, 8713, 267, 543, 1287, 6313, 875, 621, 666, 581, 9168, 547, 519, 1007, 10035, 269, 1284, 8359, 519, 2653, 547, 1174, 4305, 540, 1818, 3443, 31817, 269, 3776, 2832, 786, 581, 547, 2099, 713, 538, 971, 513, 6073, 602, 782, 519, 4143, 2694, 540, 519, 4305, 616, 3989, 3616, 541, 8271, 267, 855, 519, 3527, 946, 519, 1007, 27564, 6041, 585, 11056, 540, 519, 12497, 1982, 269, 589, 2347, 2079, 1131, 4125, 1082, 11708, 609, 8665, 267, 3461, 267, 2707, 543, 10278, 267, 543, 5310, 1866, 267, 585, 1142, 3113, 855, 649, 786, 711, 979, 883, 602, 1377, 540, 1469, 585, 713, 1383, 269, 7612, 476, 277, 281, 589, 13159, 8713, 589, 2758, 454, 279, 3776, 1101, 4214, 5654, 693, 519, 1523, 540, 834, 335, 28666, 2580, 519, 2962, 540, 8380, 7912, 883, 513, 12826, 269, 901, 2962, 786, 581, 6719, 676, 519, 17076, 623, 21788, 269, 8921, 649, 786, 991, 547, 6430, 1018, 1239, 568, 4448, 538, 519, 3113, 547, 519, 2016, 2962, 543, 875, 3527, 2095, 998, 519, 3113, 269, 1403, 649, 2308, 519, 19954, 299, 307, 6935, 267, 1267, 281, 3095, 606, 957, 547, 606, 11769, 602, 568, 6383, 676, 519, 957, 2073, 607, 513, 13598, 3977, 2013, 6935, 267, 649, 1205, 519, 1267, 540, 8380, 7912, 538, 513, 12826, 568, 547, 1118, 513, 631, 21197, 307, 13543, 630, 5408, 7612, 476, 277, 1040, 2913, 721, 1631, 2736, 1079, 5798, 883, 519, 7848, 269, 901, 786, 581, 2944, 676, 1210, 513, 8520, 532, 4020, 540, 8380, 538, 835, 4212, 267, 11544, 267, 543, 8380, 538, 824, 4212, 269, 2776, 16227, 538, 8713, 267, 649, 1131, 723, 1031, 513, 942, 17076, 631, 21197, 1547, 3767, 649, 786, 946, 513, 1239, 32704, 8520, 630, 2254, 3254, 1040, 8921, 649, 786, 723, 547, 13489, 519, 4402, 585, 835, 8792, 267, 543, 952, 1932, 5394, 267, 1039, 513, 29537, 540, 1216, 269, 769, 4137, 476, 278, 267, 649, 1397, 875, 519, 3308, 6041, 1131, 1413, 952, 649, 1175, 24673, 519, 3616, 541, 894, 6041, 540, 27564, 1702, 4867, 538, 8713, 609, 938, 1007, 3308, 6041, 689, 3296, 476, 276, 269, 3767, 519, 4402, 568, 4712, 585, 5986, 269, 7612, 476, 278, 281, 634, 19835, 11059, 540, 590, 2316, 305, 532, 1403, 649, 979, 1394, 543, 556, 7721, 8533, 519, 1184, 267, 649, 666, 1491, 621, 835, 1900, 2417, 269, 634, 3113, 538, 4137, 476, 278, 6257, 1018, 568, 3238, 609, 519, 2962, 540, 28817, 519, 4402, 267, 602, 568, 519, 1852, 2095, 267, 855, 621, 1281, 711, 2161, 875, 621, 568, 547, 581, 2944, 269, 1703, 568, 1869, 519, 3616, 541, 894, 3597, 547, 519, 6041, 269, 769, 1931, 547, 2347, 519, 13326, 1063, 519, 1079, 3029, 540, 1702, 267, 649, 991, 513, 4214, 531, 7271, 585, 3527, 602, 616, 711, 3616, 541, 894, 269, 3807, 607, 513, 4214, 1759, 538, 8901, 25135, 32718, 3091, 513, 2143, 2070, 540, 513, 1523, 538, 2474, 540, 824, 3615, 267, 676, 1210, 513, 27564, 4214, 540, 513, 13796, 25135, 14653, 835, 666, 1294, 875, 2418, 666, 581, 17223, 676, 606, 2962, 269, 7612, 476, 279, 2982, 875, 513, 27564, 4214, 540, 590, 2316, 305, 666, 581, 3989, 538, 2474, 540, 6198, 11051, 543, 1239, 32704, 4238, 267, 9247, 6721, 513, 5650, 547, 5581, 711, 1152, 519, 1852, 2095, 267, 855, 519, 875, 563, 280, 7612, 476, 279, 281, 634, 17317, 1116, 11059, 540, 590, 2316, 305, 476, 278, 269, 1230, 7501, 543, 8892, 4518, 1284, 723, 3254, 513, 3308, 1893, 267, 8713, 267, 602, 3947, 513, 7059, 1702, 6041, 6388, 269, 10738, 8713, 267, 3616, 541, 894, 543, 27564, 1702, 616, 8449, 6719, 676, 10747, 1843, 543, 2962, 21437, 269, 769, 1880, 519, 1840, 540, 3308, 1893, 21437, 630, 11907, 32704, 270, 6503, 24577, 264, 547, 8713, 2636, 621, 547, 1184, 3527, 607, 1239, 32704, 12222, 23187, 519, 27564, 2470, 540, 519, 1702, 1369, 519, 6041, 269, 19672, 711, 9619, 616, 2965, 7829, 519, 2470, 540, 942, 630, 332, 558, 757, 5288, 11996, 267, 2621, 5288, 3157, 267, 3092, 4700, 543, 519, 3877, 593, 9306, 543, 1287, 14291, 547, 519, 3308, 1702, 6041, 585, 1919, 971, 607, 942, 12125, 269, 4201, 11703, 4159, 5108, 540, 12497, 11708, 568, 1271, 585, 15418, 540, 519, 11708, 543, 2792, 540, 519, 1702, 1369, 891, 11708, 1547, 1452, 786, 581, 8947, 538, 2104, 1568, 563, 1015, 22108, 476, 4864, 517, 267, 631, 269, 543, 589, 269, 5548, 326, 5964, 630, 1960, 278, 264, 594, 614, 894, 20472, 338, 538, 519, 10439, 4578, 10046, 5678, 267, 538, 18619, 540, 20959, 32600, 593, 10439, 19932, 267, 1772, 548, 540, 7167, 686, 267, 7977, 269, 476, 7261, 516, 267, 654, 10611, 1421, 590, 269, 7195, 778, 663, 541, 543, 589, 269, 774, 752, 541, 630, 1960, 275, 264, 11310, 10439, 1436, 689, 10417, 783, 23113, 267, 538, 17976, 11872, 538, 3642, 5292, 476, 279, 3374, 10417, 783, 23113, 281, 7351, 13756, 267, 32308, 269, 654, 8160, 269, 570, 788, 325, 22519, 691, 267, 808, 10422, 269, 16299, 543, 808, 12171, 269, 590, 16305, 269, 1715, 3840, 281, 306, 1440, 5424, 13305, 518, 25419, 269, 476, 16026, 267, 681, 269, 630, 2735, 271, 264, 26426, 8573, 2737, 281, 25705, 827, 6513, 267, 538, 14464, 11106, 5292, 269, 476, 1428, 3143, 269, 476, 274, 269, 476, 25760, 267, 570, 269, 630, 2735, 274, 264, 5384, 10934, 20904, 269, 15306, 269, 3115, 23171, 2160, 8950, 3163, 4972, 269, 476, 3794, 514, 1068, 267, 661, 269, 630, 1960, 271, 264, 10439, 14691, 2037, 4921, 267, 630, 273, 5292, 338, 1040, 11968, 1325, 600, 842, 657, 267, 11404, 281, 20959, 8950, 3163, 4964, 269, 476, 19134, 2917, 267, 681, 11053, 269, 630, 1960, 273, 264, 589, 31538, 23830, 585, 5384, 543, 6611, 543, 4256, 23688, 783, 4790, 571, 6493, 267, 538, 23675, 20917, 269, 7248, 269, 5292, 269, 476, 2537, 3143, 269, 476, 277, 268, 280, 267, 6032, 476, 6931, 267, 590, 269, 670, 269, 543, 570, 269, 25760, 630, 1960, 275, 264, 4112, 334, 1746, 16511, 1275, 538, 7843, 1602, 531, 25705, 267, 538, 7351, 12367, 538, 3642, 12020, 267, 32308, 269, 661, 269, 9995, 1168, 718, 543, 595, 7982, 560, 558, 269, 24545, 281, 296, 5308, 4964, 269, 476, 623, 10623, 858, 518, 267, 670, 6185, 269, 543, 681, 11053, 269, 19134, 2917, 630, 1960, 272, 264, 634, 10417, 783, 14691, 5113, 267, 8713, 281, 25705, 23830, 1210, 8641, 23113, 543, 15051, 267, 538, 18619, 540, 20959, 22544, 593, 10439, 19932, 267, 918, 12786, 267, 3567, 269, 476, 623, 10623, 858, 518, 267, 670, 6185, 269, 543, 681, 11053, 269, 19134, 2917, 630, 1960, 273, 264, 7843, 1602, 531, 267, 32085, 267, 543, 4790, 571, 842, 30047, 538, 519, 10417, 783, 14691, 5113, 267, 8713, 267, 538, 4750, 585, 21885, 543, 11933, 3749, 3642, 476, 275, 281, 273, 267, 6032, 476, 12313, 267, 645, 6993, 1421, 681, 8160, 269, 645, 2801, 14982, 543, 594, 2529, 269, 9540, 630, 1960, 274, 264, 589, 11010, 4184, 539, 12525, 16860, 540, 12229, 10439, 1436, 267, 538, 4750, 540, 10439, 19932, 543, 17270, 5292, 269, 476, 275, 3143, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 547, 15681, 952, 513, 15894, 9315, 1772, 674, 820, 538, 7201, 476, 2568, 1530, 6948, 692, 24591, 692, 1012, 552, 1692, 14559, 18248, 692, 288, 2370, 8153, 1249, 568, 602, 1169, 2582, 5491, 3556, 1297, 598, 13257, 547, 1945, 1572, 519, 700, 7795, 333, 5690, 780, 2171, 666, 1406, 3494, 707, 5491, 3556, 2760, 5143, 596, 827, 700, 7795, 333, 2901, 780, 7312, 5491, 3556, 814, 513, 5728, 23829, 728, 689, 519, 476, 2412, 536, 15085, 596, 986, 22486, 909, 593, 20764, 529, 713, 3018, 780, 288, 2370, 8153, 1249, 827, 891, 24819, 4773, 540, 5068, 568, 602, 1169, 2582, 5491, 3556, 1297, 598, 13257, 547, 1945, 1572, 519, 700, 7795, 333, 5690, 780, 1432, 779, 602, 286, 26023, 267, 621, 779, 513, 4542, 596, 666, 946, 547, 2638, 1022, 5491, 3556, 1297, 269, 4746, 267, 649, 2461, 7168, 2386, 972, 779, 513, 16517, 5428, 8945, 538, 972, 12341, 780, 2080, 779, 875, 621, 4422, 269, 4635, 707, 1378, 3556, 267, 610, 519, 3556, 2630, 267, 2119, 519, 1739, 1384, 1892, 18786, 609, 519, 2034, 3562, 2000, 770, 7857, 540, 519, 5491, 3556, 1297, 630, 514, 519, 1383, 1657, 267, 513, 476, 278, 1070, 5595, 1169, 824, 7857, 593, 519, 3556, 1297, 269, 1280, 519, 3556, 1657, 267, 707, 2338, 1131, 581, 607, 5205, 281, 476, 279, 476, 276, 476, 1691, 476, 279, 476, 279, 476, 276, 476, 1321, 476, 273, 476, 1015, 476, 277, 476, 279, 476, 274, 476, 1240, 476, 272, 476, 1691, 476, 274, 563, 1892, 6875, 1022, 5595, 18251, 2338, 596, 723, 543, 1039, 1142, 7857, 547, 1118, 621, 513, 2582, 7857, 630, 7474, 1797, 476, 1691, 267, 476, 1321, 267, 476, 1015, 267, 476, 1240, 543, 476, 1691, 538, 938, 1383, 1040, 1924, 707, 2338, 616, 1631, 281, 476, 279, 476, 276, 476, 276, 476, 279, 476, 279, 476, 276, 476, 274, 476, 273, 476, 272, 476, 277, 476, 279, 476, 274, 476, 280, 476, 272, 476, 276, 476, 274, 454, 1892, 5410, 909, 782, 540, 891, 2582, 9704, 630, 279, 7132, 476, 276, 7132, 476, 276, 7132, 476, 279, 267, 3092, 4700, 780, 3674, 519, 2040, 585, 707, 3556, 16883, 676, 476, 1015, 286, 2353, 5491, 267, 32259, 543, 4871, 3556, 2338, 616, 269, 2334, 779, 1946, 621, 779, 849, 1572, 513, 968, 9556, 476, 1015, 2638, 1848, 1403, 621, 3884, 1406, 16883, 676, 476, 1015, 267, 596, 2901, 3765, 20412, 730, 630, 16187, 762, 1070, 610, 596, 11214, 3893, 707, 3946, 593, 513, 16995, 267, 899, 713, 835, 269, 630, 28989, 267, 1705, 519, 968, 7312, 15894, 9315, 892, 851, 25010, 519, 9983, 286, 2020, 3086, 979, 2995, 707, 2828, 596, 2461, 2618, 545, 21669, 21184, 543, 530, 578, 873, 609, 713, 2370, 8945, 780, 1692, 1684, 1284, 5700, 2353, 901, 286, 595, 15120, 649, 2461, 13085, 269, 4746, 912, 763, 18869, 6487, 1018, 779, 909, 7308, 344, 1289, 519, 15833, 563, 20756, 267, 1776, 16995, 5491, 3556, 1297, 269, 1548, 616, 519, 8458, 2496, 5025, 21119, 667, 9445, 518, 267, 5395, 1190, 3213, 514, 19928, 12460, 692, 20124, 5491, 281, 7917, 700, 548, 342, 11481, 333, 270, 13480, 1504, 14351, 270, 7476, 1399, 16103, 543, 26826, 23340, 270, 21900, 19212, 779, 14893, 270, 7476, 1399, 16103, 692, 23220, 6838, 1635, 2098, 1120, 6339, 692, 2162, 19964, 692, 300, 454, 3674, 18789, 538, 707, 5027, 286, 28161, 851, 540, 938, 20536, 2146, 269, 0, 258, 11822, 15053, 4577, 18289, 692, 2691, 513, 1560, 7575, 21237, 538, 513, 2786, 1899, 593, 2901, 2427, 540, 513, 1448, 267, 519, 5163, 540, 1560, 568, 1572, 519, 2241, 23191, 5163, 780, 13295, 267, 519, 2241, 23191, 5163, 568, 513, 2027, 2013, 540, 519, 13350, 5163, 267, 15069, 267, 513, 2241, 23191, 5163, 568, 9090, 513, 13350, 5163, 267, 855, 782, 519, 13350, 20517, 616, 711, 519, 2241, 23191, 20517, 780, 2690, 1383, 267, 519, 5163, 540, 3618, 1472, 519, 3141, 568, 513, 13350, 5163, 267, 855, 621, 568, 711, 519, 2241, 23191, 5163, 269, 2201, 519, 824, 1688, 267, 519, 5163, 540, 513, 2241, 28764, 568, 2241, 23191, 5163, 607, 1134, 607, 519, 13350, 780, 1103, 513, 2241, 23191, 5163, 267, 519, 1560, 7575, 21237, 538, 513, 2786, 1899, 593, 2901, 2427, 540, 922, 606, 2990, 971, 602, 922, 10231, 568, 14354, 547, 519, 12761, 540, 519, 9325, 543, 519, 4287, 540, 10231, 568, 2141, 2509, 519, 1611, 2990, 269, 769, 824, 1913, 267, 519, 5163, 540, 513, 1560, 896, 513, 19620, 3196, 568, 513, 2241, 23191, 5163, 780, 27916, 1681, 10414, 692, 763, 3196, 267, 799, 568, 2047, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 568, 9859, 2509, 519, 1611, 2990, 568, 1572, 519, 19620, 3196, 1775, 4318, 1421, 519, 19620, 3196, 11148, 547, 3142, 519, 1560, 1394, 547, 922, 1611, 2990, 780, 272, 269, 273, 269, 272, 17148, 610, 18567, 540, 11822, 15053, 4577, 18289, 692, 16729, 616, 519, 2175, 630, 528, 4162, 264, 540, 2241, 23191, 5163, 1384, 9217, 264, 7673, 3396, 1109, 634, 5163, 1590, 581, 538, 2786, 1899, 593, 2901, 2427, 540, 513, 17386, 1448, 630, 11743, 2990, 6393, 23870, 264, 24748, 634, 3001, 1560, 1590, 1780, 689, 922, 1611, 2990, 14578, 1310, 513, 17386, 942, 1775, 4318, 1421, 5163, 1590, 581, 13350, 780, 31702, 264, 7673, 1109, 634, 10231, 540, 519, 3001, 1560, 1590, 2141, 581, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 519, 4287, 540, 10231, 1590, 2141, 581, 2509, 519, 1611, 2990, 267, 1775, 4318, 1421, 692, 10907, 5120, 566, 14668, 12761, 543, 538, 519, 4287, 6587, 547, 12761, 780, 2252, 693, 1022, 8216, 267, 519, 12761, 540, 1560, 689, 922, 1611, 2990, 568, 1535, 267, 519, 10231, 540, 519, 1560, 568, 692, 325, 10382, 910, 311, 692, 3719, 676, 13053, 779, 1876, 540, 5163, 267, 3196, 815, 2527, 1535, 10231, 692, 2690, 576, 14668, 1107, 1535, 692, 13295, 267, 519, 3196, 9117, 593, 519, 1560, 1590, 581, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 922, 4287, 1590, 581, 2509, 519, 1611, 2990, 630, 328, 4318, 1421, 519, 3196, 1590, 581, 519, 19620, 3196, 6393, 288, 1062, 267, 4171, 5163, 568, 2241, 23191, 267, 568, 1634, 607, 519, 2241, 23191, 14251, 1807, 780, 2690, 1383, 267, 5163, 540, 2241, 28764, 585, 1507, 17931, 267, 5163, 540, 519, 7623, 28764, 267, 5163, 540, 519, 2527, 7923, 693, 519, 1863, 1439, 540, 513, 5614, 14461, 569, 6378, 693, 922, 824, 1439, 267, 5163, 540, 512, 832, 1308, 28764, 3092, 269, 0, 288, 2489, 1935, 547, 6323, 2042, 692, 288, 717, 2894, 2207, 3201, 6673, 24165, 21815, 9215, 11550, 25770, 5960, 692, 296, 1265, 1169, 6323, 1966, 606, 6946, 11015, 543, 723, 1187, 3257, 873, 269, 1411, 1932, 1058, 2119, 547, 1265, 519, 7954, 3297, 1142, 1966, 543, 14458, 1169, 1966, 547, 922, 5072, 269, 1403, 596, 666, 2119, 707, 1655, 547, 2965, 723, 1187, 630, 1729, 519, 1655, 540, 707, 2702, 264, 543, 723, 513, 2318, 10182, 609, 6323, 267, 1256, 4101, 2042, 1058, 711, 10460, 607, 32462, 960, 855, 2241, 7954, 13410, 799, 6961, 17598, 2899, 12193, 269, 1403, 596, 1246, 891, 3268, 267, 596, 786, 581, 2111, 547, 4194, 2042, 7561, 630, 2865, 540, 519, 942, 267, 2042, 616, 711, 2352, 2016, 2614, 942, 267, 519, 1483, 7411, 6013, 538, 3257, 782, 519, 2042, 538, 519, 2547, 2179, 540, 942, 6393, 5575, 3268, 692, 3725, 958, 1174, 1018, 519, 2243, 568, 6998, 596, 780, 272, 4700, 4855, 856, 1018, 2035, 616, 3238, 2496, 268, 2467, 616, 2356, 1152, 476, 272, 610, 476, 273, 2489, 2035, 602, 621, 1223, 581, 827, 865, 713, 1900, 1058, 581, 2653, 2439, 273, 4700, 1548, 4834, 616, 693, 707, 12871, 2496, 5336, 739, 540, 519, 942, 267, 891, 666, 581, 1336, 593, 707, 4542, 6656, 269, 6258, 707, 4542, 6656, 630, 328, 4318, 269, 1018, 4834, 25758, 593, 972, 267, 1018, 596, 1058, 27655, 1317, 621, 568, 10691, 972, 269, 2422, 519, 4542, 6656, 585, 519, 3803, 2429, 519, 2165, 865, 596, 798, 711, 26545, 1076, 1282, 11400, 547, 1265, 1919, 2020, 274, 4700, 1548, 1344, 616, 596, 2016, 2496, 4149, 636, 3405, 1125, 782, 519, 1344, 2016, 538, 513, 1966, 547, 4632, 543, 2328, 621, 856, 896, 519, 2243, 630, 328, 4318, 269, 6991, 3355, 630, 12858, 264, 815, 476, 1220, 271, 7397, 829, 2034, 267, 18232, 512, 815, 476, 276, 7643, 1040, 901, 1259, 596, 798, 711, 723, 547, 11179, 3277, 547, 519, 2243, 17986, 509, 713, 786, 4688, 596, 942, 692, 275, 4700, 1548, 1344, 616, 596, 3843, 547, 4194, 585, 2496, 268, 2252, 596, 666, 1175, 12990, 2418, 596, 616, 2016, 883, 606, 3830, 596, 15422, 610, 1336, 538, 707, 4542, 6656, 267, 1390, 269, 19227, 267, 1294, 2630, 780, 2252, 596, 3112, 4194, 1175, 689, 519, 1344, 2016, 267, 28433, 513, 4640, 547, 661, 13697, 2975, 296, 7728, 14877, 4194, 585, 519, 1344, 780, 272, 4700, 1684, 596, 723, 6190, 1344, 547, 3274, 4194, 585, 519, 1966, 610, 1590, 596, 2736, 909, 519, 2243, 883, 5094, 2694, 630, 21865, 267, 713, 568, 2944, 585, 596, 547, 1832, 596, 593, 519, 1318, 3950, 267, 855, 824, 2053, 267, 596, 991, 547, 4137, 713, 856, 3054, 2496, 273, 4700, 1684, 596, 723, 1932, 1454, 1344, 543, 1058, 596, 11716, 1945, 3063, 2016, 1317, 621, 2306, 1919, 1932, 7294, 2496, 274, 4700, 1403, 596, 27114, 27237, 4137, 856, 513, 2243, 1369, 476, 276, 3764, 267, 700, 12788, 12717, 8668, 267, 1205, 1394, 547, 621, 2663, 0, 1892, 1948, 3493, 3285, 908, 7221, 543, 595, 28566, 692, 288, 3854, 2744, 610, 3854, 2530, 689, 519, 12871, 540, 513, 1244, 3285, 908, 10697, 786, 1152, 8451, 547, 519, 6708, 602, 596, 723, 1031, 519, 10697, 585, 513, 1875, 2389, 1314, 762, 3483, 630, 1721, 1383, 267, 1031, 585, 4357, 5301, 6393, 2791, 5173, 513, 3854, 2744, 610, 3854, 2530, 689, 513, 1244, 3285, 908, 10697, 1031, 585, 513, 1875, 2389, 1314, 762, 3483, 1210, 519, 2035, 540, 1942, 543, 26694, 1871, 896, 519, 7833, 3854, 1450, 1734, 1062, 267, 711, 519, 2035, 540, 1942, 3490, 543, 3854, 23131, 896, 519, 3854, 12374, 3454, 630, 290, 28566, 264, 3652, 780, 2252, 513, 13326, 16369, 2680, 4386, 585, 513, 1244, 3285, 908, 10697, 596, 723, 693, 930, 942, 1031, 585, 513, 1875, 2389, 1314, 762, 3483, 267, 513, 595, 28566, 2680, 4523, 269, 634, 1034, 1455, 13326, 16369, 2680, 585, 513, 1244, 3285, 908, 10697, 4386, 950, 596, 3247, 8066, 621, 630, 1721, 1383, 267, 596, 6133, 267, 6336, 610, 6861, 621, 264, 610, 3247, 1210, 621, 780, 1012, 29626, 513, 3854, 2744, 610, 3854, 2530, 692, 2791, 1118, 513, 3854, 2744, 952, 519, 26694, 1871, 540, 707, 1244, 3285, 908, 10697, 568, 3152, 982, 922, 1942, 269, 1411, 1118, 513, 3854, 2530, 952, 519, 9258, 568, 519, 2013, 267, 602, 568, 267, 519, 10697, 779, 1942, 568, 811, 982, 922, 26694, 1871, 780, 2791, 946, 1114, 12596, 547, 5173, 513, 3854, 2744, 610, 3854, 2530, 4470, 593, 2436, 519, 10697, 568, 513, 1384, 2162, 3493, 3285, 908, 10697, 711, 538, 513, 1970, 17032, 7535, 692, 2252, 707, 1244, 3285, 908, 10697, 568, 711, 513, 7535, 539, 10697, 267, 596, 5173, 513, 3854, 2744, 607, 5205, 1384, 2791, 5173, 519, 3854, 2530, 607, 5205, 1384, 1103, 891, 12596, 1384, 1892, 1412, 8999, 540, 20214, 262, 568, 519, 2040, 540, 519, 20214, 538, 707, 17429, 2388, 585, 519, 10697, 781, 7771, 538, 1871, 602, 568, 30289, 547, 707, 946, 540, 519, 10697, 267, 610, 596, 2348, 621, 8704, 4712, 585, 946, 267, 585, 513, 1875, 2389, 1314, 762, 3483, 454, 1892, 1412, 20135, 7771, 262, 568, 519, 7771, 538, 1871, 540, 519, 1244, 3285, 908, 10697, 2094, 596, 3323, 547, 3180, 621, 780, 7078, 281, 13317, 2744, 593, 1244, 3285, 908, 10697, 692, 299, 14019, 11751, 513, 14903, 538, 4864, 476, 1001, 279, 585, 8096, 276, 267, 1822, 543, 4421, 621, 538, 4873, 476, 1708, 271, 585, 8096, 278, 267, 1822, 269, 1261, 1031, 519, 14903, 476, 1015, 260, 540, 519, 942, 585, 4357, 5301, 269, 634, 7771, 538, 1871, 540, 519, 14903, 909, 547, 519, 4266, 540, 9042, 729, 8096, 273, 267, 1822, 780, 763, 2040, 540, 1010, 20214, 11341, 547, 1010, 4357, 946, 568, 8096, 1220, 630, 1015, 260, 540, 8096, 273, 267, 1822, 1040, 32632, 21410, 1010, 3854, 2744, 689, 595, 28566, 2680, 1109 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5211, 267, 4358, 538, 519, 10239, 547, 938, 22583, 2282, 30486, 543, 9676, 693, 4432, 7167, 11939, 1763, 969, 7546, 827, 476, 1789, 5195, 22583, 540, 25708, 5842, 17630, 267, 568, 513, 1713, 1216, 4199, 585, 519, 2749, 267, 855, 513, 14758, 8153, 849, 1271, 2707, 267, 29158, 6229, 15880, 267, 6238, 538, 519, 20698, 10044, 15142, 20991, 5045, 563, 290, 9051, 6229, 15880, 1101, 28368, 883, 2859, 3534, 1763, 969, 7546, 267, 827, 476, 3393, 5195, 7532, 4882, 11322, 540, 5842, 17630, 2282, 519, 2146, 540, 8805, 334, 269, 634, 13111, 849, 19306, 1216, 689, 2859, 3534, 15880, 269, 5221, 519, 13111, 568, 1360, 2647, 543, 13719, 267, 9271, 689, 21381, 616, 9645, 865, 950, 621, 779, 15164, 519, 4975, 27422, 547, 5305, 1034, 540, 519, 1216, 19654, 547, 4446, 21884, 1763, 969, 7546, 799, 568, 7522, 518, 543, 1454, 4514, 267, 1141, 21381, 568, 1447, 540, 513, 1966, 269, 4446, 21884, 1763, 969, 7546, 568, 17479, 1175, 2630, 519, 1476, 26475, 540, 29158, 6229, 15880, 543, 25882, 9503, 15880, 267, 827, 476, 1015, 5195, 7178, 540, 2859, 3534, 563, 7628, 1360, 6632, 12405, 952, 4446, 21884, 568, 538, 8594, 540, 14700, 519, 4430, 1216, 568, 5950, 1524, 519, 2481, 779, 25047, 3613, 324, 5529, 21383, 3118, 1394, 883, 29158, 6229, 15880, 269, 6270, 2621, 616, 4686, 282, 7363, 782, 519, 1216, 568, 11603, 585, 5842, 17630, 269, 1809, 29158, 6229, 15880, 267, 607, 851, 540, 519, 570, 6359, 340, 3570, 27347, 1117, 267, 568, 513, 29815, 776, 547, 519, 570, 6359, 340, 3570, 5211, 5045, 540, 519, 11204, 8473, 267, 865, 875, 1281, 519, 1216, 538, 4446, 21884, 1439, 909, 538, 5842, 17630, 3079, 888, 12585, 281, 519, 667, 592, 345, 3120, 1230, 706, 527, 563, 763, 667, 592, 345, 3120, 1230, 706, 527, 568, 513, 476, 1724, 269, 4343, 13304, 17489, 6864, 9254, 551, 3710, 547, 31818, 1216, 689, 29158, 6229, 15880, 547, 5842, 17630, 269, 20323, 16922, 540, 13897, 9055, 267, 2699, 6229, 1166, 6979, 267, 543, 5176, 1079, 5195, 540, 25310, 998, 27726, 8513, 630, 718, 25653, 676, 1688, 1070, 519, 31026, 527, 729, 9112, 538, 519, 1296, 476, 5002, 278, 268, 5002, 280, 676, 519, 8828, 4993, 13738, 4826, 7577, 896, 513, 1544, 25282, 676, 3627, 667, 269, 1975, 516, 1188, 1564, 563, 763, 1230, 706, 527, 7283, 10512, 998, 519, 4571, 268, 2735, 271, 338, 676, 799, 942, 519, 11308, 1166, 6979, 941, 865, 14016, 730, 543, 5826, 3790, 865, 1164, 602, 621, 729, 3144, 856, 540, 3028, 563, 763, 1230, 706, 527, 729, 22058, 730, 538, 519, 4571, 268, 1960, 271, 338, 543, 519, 11308, 1166, 6979, 941, 8719, 609, 1007, 5374, 27983, 593, 6405, 543, 5374, 7028, 269, 5221, 621, 729, 7543, 585, 2666, 6472, 543, 3937, 547, 3914, 930, 6753, 267, 21484, 641, 1562, 941, 2877, 547, 3761, 6405, 543, 547, 1747, 513, 5374, 959, 1380, 8115, 543, 1804, 10612, 6810, 563, 763, 667, 592, 345, 3120, 1230, 706, 527, 11498, 547, 667, 592, 345, 3120, 15880, 799, 26082, 519, 17305, 599, 5211, 799, 8928, 7178, 2394, 621, 10301, 922, 10278, 693, 13722, 17305, 599, 1763, 969, 7546, 538, 932, 3121, 966, 16695, 267, 1141, 513, 1216, 2126, 2030, 4384, 919, 519, 3892, 540, 1216, 547, 5842, 17630, 5561, 563, 1103, 476, 1220, 275, 268, 1220, 276, 267, 20359, 689, 5230, 22856, 16094, 8697, 519, 1230, 706, 527, 543, 621, 1586, 729, 856, 540, 3028, 269, 6969, 18203, 1223, 581, 5340, 519, 20831, 9605, 538, 476, 1220, 278, 3361, 2417, 3441, 543, 621, 729, 930, 942, 1354, 3573, 543, 7199, 18203, 1223, 581, 5645, 856, 563, 28275, 538, 476, 1220, 280, 513, 1804, 3296, 540, 519, 1230, 706, 527, 779, 1930, 8756, 729, 28459, 1540, 609, 8470, 539, 6405, 6227, 5116, 676, 31881, 832, 5652, 29357, 269, 13966, 609, 824, 18175, 10232, 519, 1230, 706, 527, 1586, 2968, 10512, 538, 5130, 476, 1001, 272, 269, 4014, 621, 814, 513, 4390, 547, 1847, 909, 547, 476, 2412, 2929, 17529, 829, 1554, 267, 4129, 687, 616, 26742, 19631, 543, 519, 2179, 9775, 14320, 4470, 593, 875, 1454, 25318, 1216, 568, 2139, 543, 2436, 621, 779, 2877, 563, 265, 3509, 7064, 547, 645, 1370, 661, 1749, 517, 540, 519, 5842, 17630, 5398, 7780, 1988, 4972, 585, 25786, 1250, 1569, 547, 2127, 602, 616, 6806, 547, 519, 1857, 563, 272, 269, 23488, 1635, 4477, 545, 16239, 269, 6406, 7177, 630, 13563, 5980, 540, 6406, 19296, 1070, 4320, 476, 5780, 267, 1100, 269, 476, 272, 630, 20464, 476, 1960, 277, 1916, 273, 269, 17183, 4826, 18242, 540, 519, 7414, 32437, 540, 8828, 4993, 1315, 670, 6185, 269, 5062, 10908, 1662, 534, 269, 6115, 281, 2475, 13382, 302, 267, 476, 4572, 272, 563, 274, 269, 674, 578, 2401, 267, 700, 269, 595, 269, 476, 4198, 274, 269, 589, 3778, 540, 667, 4461, 543, 4826, 18242, 540, 5375, 5842, 17630, 6019, 269, 1133, 643, 269, 540, 4993, 269, 9049, 19080, 269, 476, 22001, 653, 269, 9768, 476, 274, 476, 15836, 277, 476, 271, 5392, 3393, 476, 9262, 277, 275, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8141, 1194, 17321, 982, 519, 5757, 896, 519, 3141, 780, 14367, 3993, 20493, 267, 2141, 4712, 547, 2490, 4948, 13300, 883, 1565, 3255, 269, 834, 11039, 15207, 2437, 1352, 3459, 267, 834, 527, 814, 1945, 547, 798, 609, 1945, 1572, 26255, 3599, 269, 1411, 1294, 267, 3615, 666, 10581, 1317, 540, 513, 3196, 3160, 547, 519, 2597, 540, 519, 1216, 1373, 19774, 3010, 2026, 789, 4797, 741, 588, 2651, 2509, 595, 582, 1729, 267, 15207, 7948, 1405, 948, 855, 5469, 875, 6126, 3025, 8604, 1472, 1864, 269, 700, 2795, 532, 3885, 267, 2828, 20414, 909, 936, 2848, 5446, 11680, 540, 7401, 267, 18798, 4687, 521, 935, 525, 910, 782, 1666, 6362, 538, 1142, 824, 781, 2754, 1996, 519, 32668, 20457, 540, 519, 5757, 780, 4263, 2063, 267, 789, 6603, 595, 582, 1729, 269, 4706, 1164, 6075, 16863, 941, 1134, 964, 5703, 269, 3245, 2770, 27918, 3443, 31817, 547, 5260, 712, 344, 2407, 2296, 2736, 325, 6814, 267, 1169, 8670, 6743, 1932, 1434, 547, 3548, 256, 1809, 620, 553, 267, 950, 646, 4718, 519, 10624, 543, 922, 5777, 267, 4057, 15207, 5433, 2864, 771, 24711, 2989, 269, 2859, 982, 13977, 6550, 585, 14254, 286, 1261, 5828, 547, 1010, 3993, 267, 29359, 31960, 2066, 1010, 6263, 2934, 780, 9617, 1287, 267, 606, 11361, 14799, 9361, 7404, 9575, 8289, 540, 15207, 781, 30160, 6420, 523, 4082, 269, 2701, 10709, 539, 538, 543, 26866, 1229, 24963, 267, 834, 15919, 15210, 267, 1919, 602, 1942, 811, 5749, 1405, 8209, 1732, 269, 10025, 3884, 1405, 6027, 676, 2724, 4805, 269, 3371, 267, 1577, 803, 1397, 596, 1701, 2060, 602, 267, 1352, 11751, 15207, 513, 3636, 5186, 1170, 656, 799, 13820, 539, 31676, 5103, 1373, 1447, 7199, 780, 4517, 3976, 267, 938, 9661, 7475, 711, 609, 513, 6571, 267, 855, 513, 3407, 3992, 3079, 269, 5020, 267, 1454, 899, 2257, 267, 1419, 6799, 721, 13410, 7996, 547, 581, 12193, 269, 1656, 3006, 267, 1018, 4667, 14922, 5944, 1950, 1522, 3180, 6397, 16134, 269, 3807, 3314, 267, 2436, 596, 2811, 3695, 519, 13655, 540, 2470, 610, 10188, 519, 2978, 31307, 710, 1158, 540, 15296, 267, 2760, 3247, 6998, 2055, 267, 3251, 1439, 8393, 8049, 267, 543, 10027, 880, 1169, 4090, 6170, 609, 6068, 3283, 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, 303, 28558, 513, 2143, 4845, 827, 513, 13962, 1210, 519, 1739, 1913, 281, 2012, 815, 595, 582, 1729, 267, 3548, 13911, 815, 6995, 6300, 267, 1426, 815, 2296, 267, 3902, 305, 1052, 815, 811, 982, 11278, 1789, 267, 6075, 12773, 815, 1164, 267, 1858, 815, 8933, 728, 267, 2282, 815, 634, 24144, 1488, 916, 454, 306, 27542, 912, 290, 582, 1729, 267, 513, 3810, 268, 3603, 2296, 6995, 6300, 13883, 676, 519, 8933, 728, 267, 3091, 513, 18226, 1995, 609, 5777, 23630, 11278, 1789, 543, 568, 10375, 569, 4092, 2282, 634, 24144, 1488, 916, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 538, 513, 23749, 8468, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 729, 23362, 5275, 10372, 585, 8949, 10448, 2861, 8286, 602, 5447, 609, 513, 2973, 4189, 2732, 269, 1306, 606, 23153, 27697, 609, 513, 15116, 1719, 538, 2870, 2030, 14617, 6980, 267, 789, 941, 5462, 547, 1039, 3099, 543, 10761, 547, 741, 11477, 27132, 780, 3080, 1880, 8670, 9575, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 781, 3750, 910, 834, 290, 4954, 31884, 17054, 19676, 1701, 11109, 2760, 13986, 621, 1354, 267, 789, 24389, 593, 513, 5692, 547, 1711, 519, 3501, 11600, 267, 11018, 4195, 5820, 689, 2199, 6990, 543, 8600, 873, 23939, 269, 2060, 1390, 15131, 267, 789, 4553, 782, 5528, 5402, 543, 19179, 1243, 519, 3803, 1267, 780, 4913, 267, 12556, 1185, 824, 4566, 269, 769, 513, 9670, 2490, 540, 2621, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 19451, 569, 12349, 4936, 525, 1723, 7935, 19233, 3079, 540, 28471, 31884, 256, 901, 8966, 3132, 6221, 12286, 11495, 5762, 531, 3270, 855, 2451, 938, 5869, 7138, 1194, 827, 875, 621, 1522, 1860, 741, 5986, 7045, 269, 1133, 342, 3739, 547, 1577, 713, 32657, 777, 15658, 873, 267, 789, 4956, 547, 3082, 519, 11600, 1210, 713, 694, 16781, 760, 527, 748, 6602, 780, 2026, 519, 4936, 525, 1723, 7935, 19233, 521, 11170, 1194, 538, 519, 3443, 7258, 10477, 5388, 267, 12906, 553, 4904, 519, 10051, 267, 751, 2084, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 609, 24736, 269, 1879, 519, 4090, 3357, 547, 6492, 741, 5137, 267, 789, 6806, 741, 4064, 267, 3576, 513, 11116, 267, 543, 23121, 741, 10508, 1765, 11398, 2933, 679, 600, 1819, 676, 922, 2189, 2428, 1399, 8137, 543, 13035, 9403, 269, 898, 5828, 856, 1256, 1732, 982, 4397, 2439, 21615, 1245, 2989, 676, 713, 1995, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 8120, 547, 519, 1482, 23749, 8142, 267, 4687, 741, 796, 656, 4602, 730, 17636, 609, 8284, 3755, 269, 4256, 2022, 17275, 7279, 1851, 1866, 945, 3459, 19234, 609, 4936, 525, 1723, 7935, 19233, 1932, 267, 3056, 547, 811, 8906, 543, 4296, 1369, 519, 2146, 780, 7437, 713, 6126, 8009, 267, 579, 270, 309, 1122, 326, 22044, 2120, 277, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 930, 8949, 10448, 2861, 8286, 602, 594, 666, 2972, 1247, 1739, 513, 2973, 4189, 2732, 888, 272, 269, 10162, 16556, 17164, 762, 2405, 2917, 281, 28777, 17436, 267, 22282, 267, 28471, 31884, 267, 543, 1490, 639, 17632, 28667, 5671, 3960, 1194, 609, 14462, 3282, 543, 19023, 609, 13342, 267, 6070, 267, 543, 14723, 780, 273, 269, 853, 4428, 539, 13852, 3212, 13827, 281, 11350, 18717, 28077, 609, 844, 29184, 267, 3109, 10365, 267, 8970, 267, 543, 546, 5367, 14274, 780, 274, 269, 2098, 1075, 577, 7236, 715, 22751, 281, 18700, 1242, 1990, 1075, 577, 7236, 30653, 547, 5529, 609, 2261, 514, 4673, 14036, 543, 1989, 730, 533, 1301, 525, 534, 10381, 780, 275, 269, 918, 1446, 543, 2372, 29184, 6428, 611, 281, 25989, 3762, 2527, 3042, 609, 14462, 3282, 543, 11993, 10433, 1287, 547, 5529, 609, 11273, 844, 29184, 267, 22269, 14274, 267, 25636, 267, 543, 513, 28777, 13342, 642, 2088, 580, 4958, 974, 780, 276, 269, 6182, 2683, 1306, 32651, 281, 607, 32651, 884, 1513, 1989, 2683, 609, 14462, 3282, 267, 6070, 267, 543, 14723, 780, 277, 269, 595, 4954, 31884, 17054, 19676, 281, 28471, 31884, 7573, 13489, 1922, 3072, 609, 17436, 267, 17112, 267, 3039, 19637, 267, 543, 5798, 780, 278, 269, 21690, 8000, 6737, 590, 19281, 281, 6653, 15837, 267, 22323, 267, 13342, 267, 543, 10448, 26185, 20762, 2394, 5347, 543, 547, 5529, 609, 19967, 18506, 543, 669, 1161, 780, 279, 269, 12098, 27932, 8738, 3455, 281, 19471, 17724, 773, 3276, 7970, 1500, 530, 328, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 8080, 547, 519, 4241, 1158, 540, 30059, 700, 12083, 16424, 256, 901, 5969, 12967, 2029, 2636, 6705, 547, 1491, 1416, 540, 741, 2831, 899, 2760, 1354, 269, 5994, 1373, 2111, 547, 1832, 3950, 540, 1142, 10800, 781, 1072, 267, 8788, 267, 543, 4189, 6208, 1210, 8596, 543, 2780, 3292, 1107, 602, 781, 4010, 1018, 8856, 13184, 5464, 1281, 256, 2913, 781, 4685, 883, 713, 5863, 2361, 543, 3605, 875, 2029, 2337, 721, 1174, 938, 3484, 2831, 1732, 780, 5575, 267, 1577, 781, 4952, 596, 616, 513, 16027, 2921, 1416, 540, 16933, 593, 707, 1920, 781, 2244, 269, 1411, 1616, 782, 707, 16933, 547, 581, 2635, 267, 6126, 267, 543, 1134, 1922, 539, 865, 789, 666, 3132, 8949, 5144, 543, 5779, 585, 1004, 547, 2972, 269, 1809, 10992, 909, 593, 1169, 2582, 10800, 14350, 1131, 1491, 1932, 1454, 942, 256, 2334, 781, 1141, 8856, 13184, 5464, 2501, 538, 13561, 780, 293, 1301, 619, 946, 2027, 3457, 1572, 968, 18875, 1963, 892, 602, 1413, 899, 2458, 1513, 610, 16776, 269, 1358, 8936, 891, 5957, 1963, 547, 519, 16933, 262, 683, 4242, 267, 3850, 873, 547, 2445, 1271, 1344, 827, 1142, 3662, 269, 1452, 5100, 19269, 6895, 1919, 899, 1384, 265, 1215, 1454, 513, 10800, 22655, 543, 10425, 454, 265, 1403, 1352, 7575, 1472, 7363, 610, 4667, 27823, 454, 265, 6787, 1200, 1560, 2837, 568, 1175, 1318, 610, 952, 1945, 1522, 581, 4636, 692, 5472, 713, 1239, 4991, 2366, 5911, 8393, 547, 5904, 543, 16389, 267, 4758, 6705, 3407, 4030, 827, 741, 16933, 262, 2729, 269, 2060, 971, 5730, 1344, 267, 789, 666, 5544, 2042, 2038, 543, 2327, 602, 1169, 10800, 4991, 519, 3007, 1352, 2115, 780, 3086, 267, 1946, 568, 4683, 8105, 1256, 3238, 1934, 286, 4270, 267, 1589, 827, 4872, 4742, 22928, 4025, 609, 811, 2230, 6131, 547, 3395, 1426, 12725, 269, 1306, 649, 1628, 11396, 1369, 2749, 7182, 267, 9870, 2831, 1223, 849, 1831, 851, 540, 602, 3830, 269, 1635, 1210, 8856, 13184, 5464, 267, 4683, 6705, 786, 723, 606, 4443, 942, 5883, 4130, 2338, 540, 2831, 1247, 1869, 4509, 1164, 4441, 540, 10304, 543, 7607, 780, 2414, 2040, 909, 267, 8856, 13184, 5464, 3096, 3579, 4066, 899, 8596, 543, 5957, 1963, 547, 948, 6705, 1832, 3950, 540, 741, 2831, 262, 8171, 269, 1635, 1620, 1367, 10800, 5615, 267, 6705, 666, 1683, 10531, 1416, 267, 3056, 547, 18668, 16933, 543, 13820, 1512, 2472, 269, 1656, 950, 4683, 8105, 3587, 7839, 267, 891, 2645, 786, 1404, 513, 2629, 1909, 538, 1818, 2386, 938, 2749, 1814, 1562, 3251, 6899, 543, 11327, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 308, 2607, 340, 599, 267, 4171, 4013, 2012, 568, 3115, 14243, 321, 997, 320, 31970, 1642, 772, 2607, 340, 599, 2676, 529, 513, 19988, 2197, 538, 3162, 3013, 267, 4092, 538, 519, 9456, 851, 454, 1993, 519, 8828, 595, 821, 269, 4706, 3854, 543, 1034, 20651, 2749, 568, 454, 12507, 974, 341, 8721, 269, 898, 10665, 547, 519, 22583, 609, 8478, 1765, 8063, 540, 681, 6403, 334, 454, 294, 8681, 324, 1642, 5080, 1765, 267, 547, 519, 7178, 543, 22236, 609, 18335, 1765, 2889, 9109, 806, 454, 1993, 4856, 686, 550, 525, 267, 9980, 516, 681, 6403, 657, 543, 11370, 523, 657, 589, 2231, 267, 543, 519, 32534, 4975, 454, 1993, 11370, 523, 657, 589, 2231, 630, 29323, 730, 676, 519, 681, 6403, 334, 632, 3288, 1773, 1092, 28931, 663, 814, 5032, 338, 538, 454, 1492, 9533, 7909, 547, 519, 5045, 269, 898, 6227, 476, 12293, 267, 21497, 5998, 11054, 543, 568, 519, 454, 16149, 10545, 2197, 538, 3162, 3013, 267, 1310, 5080, 514, 877, 269, 4340, 454, 1729, 1239, 689, 519, 2063, 5442, 292, 14829, 538, 476, 1001, 272, 267, 519, 2551, 540, 772, 2607, 340, 599, 454, 529, 476, 274, 267, 30525, 267, 27183, 11317, 267, 11093, 621, 538, 20870, 2990, 1851, 519, 454, 13512, 10679, 3162, 1977, 2477, 563, 2005, 568, 513, 16232, 2197, 1016, 323, 22866, 883, 562, 31106, 13623, 543, 476, 10219, 25772, 269, 634, 3854, 543, 1034, 20651, 2749, 540, 519, 2197, 568, 22757, 341, 8721, 267, 609, 476, 272, 269, 274, 2929, 11317, 267, 4171, 23195, 1858, 568, 1472, 1079, 2929, 267, 627, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7093, 17800, 700, 12083, 16424, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 12124, 28524, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 834, 763, 28202, 3739, 2622, 540, 17224, 18209, 7177, 281, 8490, 589, 7878, 543, 6611, 8154, 15323, 5970, 596, 2479, 6743, 909, 693, 519, 6607, 543, 14478, 14742, 865, 2130, 1164, 1657, 286, 2107, 6148, 596, 4312, 26927, 3139, 827, 3695, 2230, 543, 9683, 824, 10785, 899, 20691, 798, 256, 4270, 267, 782, 1346, 5863, 6191, 602, 8038, 998, 519, 2011, 543, 883, 9018, 2230, 941, 2966, 543, 3710, 676, 13085, 8030, 1634, 607, 23825, 8030, 269, 4653, 267, 649, 786, 7832, 593, 606, 3078, 3460, 547, 1451, 811, 827, 1018, 789, 798, 543, 875, 621, 782, 1568, 2439, 1432, 568, 17224, 18209, 7177, 888, 28598, 5331, 8888, 8484, 267, 28862, 267, 14361, 267, 15408, 267, 543, 1256, 15177, 1949, 1107, 713, 568, 1018, 23825, 4702, 568, 782, 827, 256, 898, 779, 5258, 883, 1079, 1292, 8371, 910, 7098, 19392, 630, 13231, 3539, 9362, 538, 5163, 264, 543, 27668, 630, 14708, 1919, 1847, 1040, 8625, 267, 891, 4610, 948, 1711, 6909, 6472, 602, 2951, 998, 519, 5790, 543, 3564, 780, 19465, 4643, 525, 543, 9412, 1115, 454, 10900, 13430, 2691, 2679, 606, 8484, 610, 5624, 1222, 267, 972, 616, 1082, 2188, 602, 2097, 883, 1404, 269, 19296, 991, 547, 2015, 519, 2326, 1031, 267, 2597, 3892, 267, 3666, 267, 19876, 267, 12740, 267, 8749, 267, 6617, 267, 543, 1852, 1175, 547, 2012, 513, 1906, 256, 1358, 946, 4359, 2645, 543, 3301, 547, 18082, 1114, 2175, 543, 2327, 3106, 1354, 4376, 3217, 1055, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3579, 3344, 1384, 265, 2878, 29605, 5093, 3807, 899, 27568, 723, 2027, 17015, 1500, 689, 2189, 6878, 267, 23825, 8030, 849, 3442, 1808, 2326, 547, 4020, 741, 13144, 269, 2368, 1455, 3283, 1331, 24489, 267, 11956, 23212, 267, 543, 12432, 2326, 971, 607, 3327, 6775, 18674, 22169, 269, 3962, 1570, 814, 922, 5383, 4470, 593, 519, 3498, 563, 265, 2878, 26574, 17392, 5093, 21344, 3388, 856, 568, 2629, 585, 3811, 19426, 269, 1403, 1945, 568, 1932, 5230, 593, 835, 2427, 267, 621, 1522, 28550, 610, 8095, 796, 19055, 2406, 269, 1635, 5402, 17568, 3334, 267, 8030, 666, 15814, 2597, 14961, 4180, 5347, 26055, 563, 265, 2878, 1320, 6412, 267, 700, 3424, 267, 28463, 267, 543, 853, 1464, 5093, 1677, 1205, 3001, 267, 9817, 3132, 19876, 799, 24864, 519, 6174, 4464, 269, 1306, 621, 7575, 267, 12209, 5352, 12740, 602, 24515, 8904, 4543, 621, 10841, 754, 1247, 8749, 13290, 547, 3500, 621, 1524, 269, 24367, 11466, 1063, 891, 4229, 8952, 938, 4739, 11931, 1282, 8184, 780, 2750, 322, 1746, 6201, 454, 2411, 13430, 3086, 602, 649, 1174, 930, 9238, 1577, 781, 2263, 4241, 3156, 540, 23825, 2029, 1384, 265, 2878, 306, 1575, 3205, 545, 4469, 2074, 5093, 5457, 1346, 19270, 867, 324, 14742, 602, 1223, 3444, 519, 9533, 5488, 982, 3280, 286, 2334, 781, 647, 17367, 545, 3432, 256, 4014, 1100, 5010, 647, 17367, 545, 19426, 2291, 2221, 1813, 547, 2825, 4145, 267, 8331, 543, 1866, 3136, 15388, 1007, 2081, 547, 3035, 3608, 647, 17367, 545, 3560, 563, 265, 2878, 22129, 21094, 5093, 14992, 899, 7910, 8895, 12519, 543, 9791, 18882, 2832, 547, 2709, 2110, 15143, 883, 2230, 585, 14666, 5275, 9058, 2833, 269, 2290, 1554, 4166, 267, 596, 1522, 6443, 5215, 945, 723, 2907, 11603, 16295, 2336, 265, 2878, 291, 14772, 5093, 3245, 12419, 15004, 547, 13830, 10875, 6337, 267, 19025, 1831, 5051, 2442, 269, 2060, 7760, 538, 3642, 543, 12957, 267, 2503, 811, 11141, 3096, 16172, 780, 1103, 3932, 267, 23825, 4702, 10905, 6323, 267, 6128, 267, 543, 5876, 547, 1628, 15999, 10760, 6191, 269, 4706, 1764, 10301, 2484, 3564, 18229, 543, 8878, 6080, 15700, 4948, 2729, 269, 1924, 1985, 942, 596, 22401, 2390, 513, 7077, 1350, 4575, 2066, 519, 30723, 610, 14952, 693, 2592, 2366, 1394, 676, 11397, 28525, 267, 3314, 519, 6131, 2367, 543, 2021, 2324, 24091, 3297, 519, 10207, 11319, 6302, 543, 9750, 20030, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8923, 2149, 519, 4647, 769, 3410, 564, 28351, 3281, 2432, 267, 11730, 609, 1022, 30569, 525, 269, 16419, 676, 6723, 21960, 330, 20198, 10830, 269, 4017, 24945, 974, 769, 4887, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 1909, 769, 21774, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 2985, 769, 7664, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 1546, 4011, 1695, 543, 808, 6130, 267, 6480, 615, 267, 543, 7225, 603, 14597, 2185, 570, 24427, 1532, 9508, 272, 543, 3501, 9753, 609, 1433, 593, 741, 6402, 269, 4256, 18441, 4766, 538, 519, 6778, 532, 10244, 525, 281, 4529, 476, 275, 268, 276, 267, 950, 808, 6130, 8118, 519, 2052, 22528, 924, 10220, 590, 529, 5028, 282, 6480, 615, 476, 279, 267, 950, 6480, 615, 729, 609, 2473, 518, 343, 525, 547, 581, 1200, 1239, 547, 960, 2933, 282, 543, 7225, 603, 476, 279, 268, 1626, 267, 950, 7225, 603, 729, 543, 14593, 513, 2361, 547, 581, 519, 8755, 4760, 267, 4591, 1993, 1716, 525, 269, 1452, 2924, 616, 873, 269, 589, 17279, 540, 7293, 2923, 538, 4647, 543, 538, 1898, 30667, 676, 4173, 617, 582, 639, 267, 25264, 543, 570, 659, 7978, 568, 1378, 5213, 725, 269, 901, 7662, 4249, 17627, 6285, 540, 717, 333, 739, 1731, 657, 827, 519, 7194, 267, 5022, 3594, 945, 729, 741, 2621, 547, 1732, 960, 513, 7824, 282, 570, 3912, 5142, 267, 945, 3769, 513, 3922, 5314, 1996, 7261, 6350, 543, 581, 1010, 2856, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 518, 18209, 7177, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 20996, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 21001, 3380, 543, 6181, 1742, 910, 634, 9452, 540, 12390, 4157, 27204, 692, 8702, 267, 2104, 12206, 256, 4653, 649, 2811, 11362, 883, 513, 4241, 9661, 602, 2501, 782, 519, 1259, 689, 3504, 2053, 9789, 1650, 540, 12390, 4157, 27204, 267, 849, 1634, 607, 519, 16635, 540, 28691, 269, 901, 6909, 2680, 3576, 1747, 811, 982, 476, 273, 267, 1822, 1296, 3516, 950, 513, 1895, 540, 12703, 21847, 1572, 519, 631, 3147, 629, 4315, 10692, 585, 3909, 5191, 1996, 519, 16380, 945, 13026, 741, 2244, 269, 1809, 1018, 2306, 713, 3140, 4090, 5963, 9058, 568, 519, 10828, 3297, 519, 14393, 31397, 5216, 6377, 8781, 540, 519, 9093, 528, 1695, 269, 1924, 10544, 707, 942, 6191, 267, 1317, 649, 2461, 827, 547, 3460, 1394, 998, 519, 6502, 2439, 5331, 6972, 1524, 7452, 344, 10754, 538, 519, 2749, 540, 13243, 1472, 476, 13679, 14514, 269, 1411, 1131, 1294, 15999, 17633, 6131, 547, 1585, 10971, 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 ]
[ 3860, 4081, 1557, 1383, 1915, 1210, 519, 2034, 851, 540, 3384, 3197, 269, 589, 7294, 4729, 3029, 899, 596, 723, 10710, 3054, 513, 476, 2004, 267, 1118, 519, 3860, 3983, 817, 269, 4455, 476, 1321, 267, 8076, 3197, 267, 1053, 875, 547, 1711, 3197, 286, 8490, 513, 3860, 1603, 585, 707, 3209, 1454, 3860, 1603, 875, 547, 1390, 3197, 267, 476, 1822, 30087, 1650, 568, 267, 606, 21903, 269, 1403, 596, 666, 948, 596, 917, 519, 856, 3553, 945, 1118, 873, 513, 8666, 610, 5496, 2452, 269, 8074, 910, 952, 596, 1616, 547, 2328, 269, 11778, 476, 272, 910, 835, 540, 1390, 2984, 676, 31444, 1338, 4622, 269, 30180, 547, 1711, 4655, 2047, 547, 2097, 909, 606, 2653, 3860, 609, 2984, 269, 3967, 476, 1556, 267, 689, 972, 616, 519, 3860, 1603, 1184, 267, 476, 1001, 276, 910, 4179, 2517, 22967, 339, 30808, 2593, 270, 1433, 616, 519, 1650, 269, 3509, 5830, 723, 693, 2547, 835, 540, 721, 281, 4967, 593, 513, 2370, 4443, 621, 666, 581, 269, 30180, 547, 8300, 9867, 4664, 971, 607, 1271, 3693, 540, 269, 2311, 2547, 267, 596, 723, 693, 519, 2875, 875, 547, 519, 2295, 540, 476, 4200, 274, 278, 910, 707, 1915, 998, 20171, 585, 707, 7096, 5098, 269, 15043, 9678, 1915, 1646, 543, 3384, 602, 6529, 269, 4455, 476, 2918, 267, 519, 2278, 945, 616, 1187, 269, 1548, 952, 972, 616, 513, 1210, 519, 2347, 513, 2312, 269, 2290, 2025, 21641, 14084, 1472, 12341, 267, 476, 1001, 278, 910, 1354, 596, 666, 581, 2919, 3197, 269, 18833, 875, 547, 1020, 3197, 267, 3860, 1543, 269, 0, 305, 684, 263, 1729, 513, 264, 291, 10157, 281, 27915, 13560, 7913, 16373, 5516, 619, 2443, 5680, 5071, 518, 454, 2026, 649, 4076, 5892, 5941, 267, 519, 3747, 585, 7913, 16373, 568, 593, 519, 4473, 269, 6787, 596, 2461, 1175, 4358, 856, 538, 519, 2361, 610, 723, 513, 4282, 538, 3059, 6725, 267, 596, 949, 711, 917, 827, 782, 540, 519, 4876, 3255, 856, 972, 269, 7427, 2059, 593, 938, 3126, 607, 649, 1491, 513, 1413, 693, 1114, 4876, 3255, 269, 4653, 649, 2461, 2469, 547, 4685, 883, 519, 1158, 540, 513, 5680, 5071, 518, 563, 288, 5680, 5071, 518, 568, 267, 2356, 267, 2576, 945, 6212, 593, 519, 12716, 543, 32636, 540, 513, 3896, 267, 23622, 593, 11768, 267, 1374, 2609, 971, 607, 2681, 543, 2511, 267, 543, 4180, 602, 513, 3135, 786, 1413, 1434, 2066, 1585, 26292, 543, 3457, 630, 20459, 18376, 2070, 8957, 5985, 2070, 1040, 6884, 267, 513, 5680, 5071, 518, 786, 849, 946, 14103, 267, 22898, 267, 543, 824, 1357, 1374, 2645, 547, 1711, 513, 8647, 3896, 689, 519, 1374, 2813, 269, 9282, 713, 2034, 1184, 568, 1419, 2944, 676, 513, 5680, 3763, 518, 267, 930, 3549, 616, 3168, 585, 5680, 5071, 619, 945, 666, 849, 946, 8193, 543, 2645, 547, 1711, 519, 3896, 789, 1374, 563, 16158, 5071, 3622, 4016, 547, 519, 12716, 6712, 540, 513, 3135, 267, 971, 607, 281, 799, 2592, 616, 1031, 267, 1141, 513, 20446, 568, 5116, 267, 519, 4778, 543, 23935, 267, 543, 519, 2949, 11768, 540, 513, 2985, 269, 5680, 5071, 619, 946, 1585, 3292, 971, 607, 23489, 26598, 543, 16503, 15249, 547, 2936, 519, 1655, 1374, 585, 741, 7218, 685, 4609, 563, 7212, 513, 5680, 5071, 518, 949, 849, 798, 930, 540, 519, 4247, 540, 513, 5680, 3763, 518, 267, 789, 666, 2503, 547, 912, 268, 19372, 19534, 20828, 9122, 593, 27010, 10748, 1466, 454, 268, 3503, 1299, 22478, 12474, 454, 268, 14419, 9577, 1275, 10261, 539, 630, 21129, 2574, 8852, 267, 10004, 7207, 267, 3092, 8094, 268, 12315, 30334, 593, 20233, 719, 1299, 5071, 454, 268, 4530, 1299, 13724, 5071, 454, 288, 5680, 5071, 518, 1058, 723, 1082, 2596, 1374, 1983, 267, 607, 1134, 607, 513, 2596, 1620, 540, 8193, 270, 16467, 532, 267, 1256, 952, 789, 616, 711, 4397, 547, 1711, 519, 8647, 3896, 269, 589, 1906, 824, 1983, 789, 1058, 723, 616, 912, 268, 26386, 540, 5071, 24919, 454, 268, 9978, 5680, 5071, 454, 268, 9442, 1299, 3955, 26051, 10341, 454, 268, 22048, 267, 16373, 267, 1299, 4317, 9012, 454, 268, 10439, 5071, 454, 4407, 8193, 543, 1646, 5749, 1406, 2556, 585, 513, 4876, 538, 5680, 5071, 267, 789, 616, 849, 3395, 4610, 602, 979, 1688, 538, 1688, 609, 1357, 1374, 543, 3059, 6725, 269, 2060, 519, 2208, 540, 1514, 2923, 543, 519, 4950, 267, 5680, 5071, 568, 2141, 4657, 543, 15268, 269, 1403, 596, 2972, 1374, 267, 1603, 543, 2870, 1543, 2228, 267, 543, 616, 9952, 538, 3860, 3206, 267, 5680, 5071, 1522, 581, 513, 1434, 3514, 585, 596, 269, 0, 3080, 540, 519, 1034, 1455, 5396, 585, 1312, 2757, 7206, 607, 1134, 607, 10344, 568, 1869, 1272, 269, 12846, 1272, 10344, 568, 2921, 5961, 540, 8723, 3615, 538, 513, 588, 3042, 4259, 269, 898, 5205, 519, 1390, 2245, 538, 7206, 540, 7206, 3615, 538, 4948, 1272, 538, 588, 3042, 5468, 269, 12989, 568, 513, 1869, 1272, 7206, 676, 6754, 9919, 345, 22828, 269, 898, 568, 513, 4605, 540, 4829, 543, 824, 3615, 593, 513, 3349, 269, 2290, 540, 519, 2101, 2609, 540, 1869, 1272, 568, 519, 1198, 540, 8654, 593, 519, 3615, 269, 8074, 519, 17321, 9634, 540, 519, 4829, 602, 5815, 8654, 8711, 563, 26170, 1272, 10344, 3217, 713, 2245, 540, 3615, 543, 8654, 855, 19306, 891, 2592, 998, 12514, 269, 8074, 519, 8666, 540, 519, 11945, 2630, 269, 898, 1175, 2982, 513, 2241, 11945, 609, 8654, 689, 519, 2427, 269, 634, 3239, 2630, 602, 2982, 811, 2427, 1769, 539, 5613, 543, 2882, 1776, 1843, 630, 322, 663, 548, 264, 607, 1134, 269, 634, 1523, 540, 1869, 1272, 568, 547, 1397, 4948, 3688, 538, 2241, 543, 796, 611, 1941, 539, 2081, 563, 2467, 616, 1082, 1390, 2200, 585, 1869, 1272, 10344, 269, 594, 1810, 1406, 2503, 596, 547, 946, 930, 540, 519, 4359, 1305, 5725, 1934, 855, 789, 616, 4277, 547, 2263, 269, 7490, 1224, 563, 7312, 7084, 786, 581, 547, 979, 593, 513, 8666, 9496, 543, 2119, 547, 1491, 6337, 602, 9414, 1869, 1272, 269, 1411, 666, 2119, 8795, 8654, 998, 946, 540, 513, 6885, 610, 513, 8755, 2775, 610, 17689, 547, 3489, 8711, 543, 20224, 269, 7490, 2022, 1079, 6337, 689, 713, 9496, 543, 2022, 8292, 593, 707, 8666, 1519, 1141, 621, 729, 3144, 543, 824, 4143, 1344, 269, 4746, 2022, 513, 6085, 593, 2576, 3116, 779, 8666, 269, 2353, 17096, 3652, 1869, 4019, 269, 0, 288, 3650, 540, 1200, 476, 6200, 560, 4332, 16683, 593, 11728, 267, 11655, 3314, 23570, 328, 10564, 612, 2549, 761, 320, 623, 761, 600, 945, 4050, 2740, 519, 1928, 540, 15652, 267, 568, 20295, 585, 22338, 519, 1259, 585, 2413, 1554, 22158, 543, 4171, 1568, 3717, 540, 24360, 2053, 269, 18004, 593, 4864, 476, 4029, 267, 476, 4489, 280, 267, 538, 2871, 329, 3757, 342, 8403, 267, 2549, 761, 320, 28953, 547, 3127, 1310, 519, 3487, 819, 543, 2968, 513, 3370, 5856, 538, 476, 4350, 277, 950, 1352, 729, 18923, 476, 1704, 1296, 2025, 563, 9515, 9782, 547, 21239, 609, 1200, 5339, 1568, 899, 18237, 21186, 267, 6129, 518, 599, 543, 18491, 2006, 328, 6306, 689, 476, 1911, 824, 2835, 1312, 593, 6965, 543, 5708, 543, 1082, 12563, 8964, 855, 568, 1655, 15422, 585, 1200, 23570, 328, 6648, 31828, 329, 513, 752, 3873, 534, 2782, 529, 20961, 8356, 630, 302, 1372, 547, 2782, 529, 20961, 1070, 799, 533, 2293, 856, 519, 1928, 540, 2527, 659, 637, 1282, 519, 3487, 819, 538, 476, 3707, 278, 269, 2701, 729, 519, 1101, 4807, 547, 4309, 519, 19300, 640, 320, 13019, 611, 655, 328, 13815, 538, 476, 4198, 277, 543, 519, 1101, 23570, 328, 4807, 547, 581, 21688, 7228, 730, 609, 519, 22087, 2742, 1744, 686, 13815, 563, 5278, 540, 519, 6574, 2648, 2984, 616, 911, 326, 1227, 2295, 12577, 543, 1482, 729, 519, 2013, 609, 2549, 761, 320, 4171, 796, 7528, 1243, 2648, 585, 5856, 19300, 597, 23160, 327, 1014, 12858, 568, 1100, 5728, 269, 18270, 730, 585, 1200, 5075, 543, 546, 2109, 267, 2549, 761, 320, 779, 1568, 1185, 10689, 12201, 540, 1463, 3159, 543, 8521, 2431, 1145, 538, 10213, 4775, 7287, 2094, 1352, 729, 3833, 740, 600, 656, 593, 2924, 540, 2021, 563, 293, 792, 1652, 543, 18979, 267, 519, 476, 736, 628, 10601, 10564, 568, 8449, 6068, 593, 1312, 5011, 540, 519, 3127, 1700, 303, 8140, 8473, 543, 1082, 540, 1200, 1568, 616, 1869, 31960, 538, 519, 12271, 540, 3332, 18798, 269, 6744, 856, 930, 540, 2549, 761, 320, 779, 4583, 543, 11599, 10530, 593, 2648, 267, 1928, 543, 15652, 1934, 912, 272, 269, 23371, 17775, 18892, 11111, 7162, 362, 18028, 366, 23547, 11111, 7162, 494, 28637, 17775, 32172, 26498, 23371, 11111, 32172, 5936, 486, 7162, 506, 5936, 486, 28637, 17775, 21999, 26498, 2633, 486, 32172, 2633, 354, 17775, 2633, 366, 21005, 7162, 359, 18892, 7162, 493, 24691, 7162, 369, 24691, 2633, 376, 11165, 23371, 21999, 21005, 7162, 364, 26498, 2633, 506, 21005, 7162, 364, 2633, 500, 7162, 355, 17775, 454, 9558, 26569, 3130, 281, 570, 5028, 2113, 3534, 513, 13453, 3905, 320, 688, 328, 795, 320, 1047, 737, 16211, 554, 7752, 2993, 1612, 552, 330, 3649, 336, 339, 737, 328, 4232, 328, 986, 16223, 632, 563, 273, 269, 2633, 487, 28440, 18892, 21999, 21005, 29334, 18028, 501, 18892, 17775, 2633, 509, 7162, 506, 2633, 366, 7162, 501, 2633, 363, 21005, 267, 28440, 17775, 18892, 17775, 7162, 485, 2633, 370, 11695, 499, 17775, 21999, 21005, 7162, 362, 2633, 373, 24691, 21999, 27758, 2633, 505, 7162, 353, 17775, 18892, 21005, 29334, 14098, 357, 11695, 372, 26498, 23517, 7162, 362, 17775, 23517, 454, 9558, 26569, 3130, 281, 772, 332, 337, 737, 328, 16906, 795, 531, 14447, 328, 267, 6071, 568, 327, 336, 737, 328, 803, 515, 330, 737, 1276, 1768, 328, 1094, 753, 517, 803, 514, 454, 274, 269, 2633, 506, 2633, 373, 14098, 479, 7162, 511, 21005, 7162, 484, 2633, 506, 2633, 376, 11111, 2633, 355, 7162, 364, 5936, 480, 2633, 373, 21999, 21005, 7162, 507, 2633, 366, 24691, 7162, 359, 2633, 350, 2633, 376, 17775, 267, 29334, 28440, 2633, 507, 23547, 11111, 7162, 369, 2633, 373, 7162, 362, 17775, 18892, 11111, 7162, 502, 18892, 32172, 5936, 486, 454, 9558, 26569, 3130, 281, 808, 25301, 536, 6062, 513, 5633, 611, 678, 7795, 737, 328, 795, 15595, 752, 533, 1228, 344, 267, 7663, 1690, 327, 3534, 530, 1695, 544, 5028, 575, 9618, 688, 328, 454, 275, 269, 2633, 356, 18892, 23371, 21005, 21999, 11111, 7162, 355, 18028, 366, 7162, 356, 2633, 350, 2633, 376, 24691, 7162, 364, 2633, 373, 11111, 32172, 5936, 486, 29334, 27758, 23547, 11111, 32172, 5936, 486, 7162, 484, 2633, 506, 7162, 509, 2633, 373, 23547, 18028, 363, 26498, 23517, 21999, 17775, 7162, 502, 18892, 7162, 360, 5936, 480, 2633, 366, 7162, 362, 17775, 2633, 373, 28440, 14098, 357, 32172, 27758, 2633, 493, 32172, 5936, 486, 23517, 454, 9558, 26569, 3130, 281, 20144, 691, 328, 25697, 8920, 546, 17495, 752, 986, 3873, 688, 328, 267, 3141, 320, 688, 328, 513, 1690, 751, 18255, 12011, 517, 1183, 575, 9618, 943, 944, 803, 8676, 534, 27280, 554, 664, 454, 276, 269, 2633, 487, 28440, 31073, 21999, 21005, 21999, 14098, 501, 2633, 506, 2633, 376, 7162, 359, 17775, 7162, 353, 17775, 18892, 17775, 7162, 485, 2633, 370, 11695, 499, 2633, 376, 7162, 357, 17775, 7162, 483, 23517, 2633, 501, 5936, 480, 2633, 510, 11111, 7162, 366, 2633, 501, 11111, 7162, 355, 18028, 363, 11111, 454, 9558, 26569, 3130, 281, 772, 332, 337, 737, 328, 737, 698, 1794, 890, 512, 699, 568, 327, 336, 683, 2587, 3578, 320, 561, 15676, 1019, 5984, 454, 2080, 779, 530, 5109, 602, 2549, 761, 320, 623, 761, 600, 779, 2619, 31771, 1568, 2661, 593, 11014, 543, 949, 519, 23290, 2041, 31600, 540, 3332, 1413, 909, 547, 519, 544, 11232, 1157, 29787, 607, 741, 13057, 1769, 865, 607, 547, 581, 13974, 6619, 540, 741, 2053, 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 ]
[ 928, 269, 769, 4148, 579, 324, 576, 1147, 561, 685, 8882, 328, 561, 339, 1674, 269, 661, 1885, 632, 561, 685, 3036, 4306, 6865, 269, 2382, 26623, 31839, 9820, 632, 5589, 615, 3832, 6982, 604, 328, 6446, 13248, 682, 667, 2946, 975, 701, 268, 618, 679, 3213, 641, 2946, 1674, 267, 8303, 563, 2419, 600, 714, 334, 590, 1421, 14339, 337, 6403, 326, 22222, 4211, 629, 718, 3266, 661, 1421, 19257, 718, 525, 5336, 749, 5964, 594, 1421, 2279, 3570, 589, 1421, 700, 5451, 345, 16619, 681, 1421, 667, 4040, 334, 674, 1421, 2836, 17383, 4211, 1162, 589, 1421, 1924, 548, 5174, 523, 564, 589, 269, 543, 22616, 11252, 962, 269, 476, 1001, 271, 269, 2961, 1461, 6403, 10973, 553, 632, 15255, 1942, 6652, 535, 6403, 338, 545, 553, 586, 1979, 565, 6759, 3766, 545, 553, 1642, 647, 601, 334, 598, 25650, 4870, 579, 16780, 807, 865, 3691, 3288, 1102, 328, 561, 10177, 857, 11252, 586, 3288, 2144, 657, 18059, 679, 3235, 657, 626, 655, 553, 10859, 5451, 5090, 657, 269, 623, 597, 710, 657, 13679, 281, 7597, 268, 9834, 269, 2552, 516, 6652, 1627, 8160, 1421, 17455, 334, 631, 1421, 6480, 2784, 320, 661, 1421, 4236, 2784, 334, 661, 269, 543, 4469, 2803, 808, 563, 1001, 273, 269, 2885, 514, 24265, 632, 5033, 25022, 632, 1965, 23853, 28571, 643, 553, 632, 17485, 32488, 2389, 714, 2297, 10859, 5451, 5090, 657, 1642, 5621, 328, 680, 8457, 30067, 4618, 334, 269, 24163, 3244, 1842, 1470, 3955, 5991, 659, 1308, 865, 3691, 3288, 7579, 320, 8125, 4034, 516, 679, 2098, 517, 553, 3331, 479, 5090, 553, 269, 10713, 21059, 4201, 11252, 5448, 932, 12686, 334, 269, 1133, 21059, 13636, 10713, 527, 7559, 632, 2098, 517, 553, 3331, 479, 5090, 553, 267, 717, 6759, 1889, 345, 6022, 659, 1470, 267, 20736, 24546, 267, 631, 2946, 343, 4815, 563, 5719, 1149, 700, 1421, 14472, 550, 516, 614, 681, 1421, 661, 671, 16466, 667, 12282, 269, 543, 5395, 701, 631, 6185, 269, 476, 1220, 278, 269, 2885, 1588, 543, 6079, 1782, 10661, 540, 1079, 5993, 30230, 1606, 525, 593, 6132, 1156, 26730, 3990, 6211, 3037, 2267, 7370, 269, 7233, 543, 14606, 454, 7628, 670, 12282, 269, 543, 11709, 1677, 648, 333, 645, 12171, 269, 476, 1960, 271, 269, 21563, 4451, 974, 4205, 609, 824, 2371, 269, 15636, 19680, 4750, 540, 519, 6931, 928, 534, 5980, 454, 292, 671, 16466, 667, 12282, 1421, 14332, 12027, 631, 6993, 1421, 8575, 652, 516, 674, 11053, 1421, 1325, 517, 810, 623, 1421, 31410, 681, 11482, 1421, 14466, 611, 641, 565, 748, 808, 269, 543, 18521, 644, 3266, 589, 269, 476, 1001, 271, 269, 20308, 2360, 540, 1614, 5117, 8030, 593, 1102, 328, 561, 339, 1674, 538, 513, 10859, 268, 541, 573, 2405, 924, 8573, 10328, 31922, 269, 23270, 338, 1724, 281, 275, 4200, 268, 27944, 563, 292, 2675, 644, 3266, 589, 1421, 6742, 6403, 928, 345, 594, 1421, 632, 3288, 30434, 589, 1421, 17305, 5451, 3271, 320, 631, 6993, 14371, 269, 543, 8575, 525, 2389, 516, 674, 11053, 269, 476, 1220, 278, 269, 14606, 6132, 2380, 723, 2249, 6741, 322, 604, 328, 524, 2360, 593, 519, 6079, 1782, 11944, 540, 1614, 14934, 1186, 2684, 850, 2030, 2249, 269, 4750, 540, 1488, 573, 2037, 4921, 3583, 281, 1240, 268, 2764, 563, 15307, 2784, 320, 4211, 770, 650, 11252, 661, 1421, 8845, 5336, 528, 2297, 700, 1421, 16645, 541, 9418, 268, 5226, 842, 534, 8759, 808, 6993, 1421, 4236, 2784, 334, 25286, 8663, 571, 661, 1421, 595, 582, 5028, 4211, 528, 16699, 631, 1421, 22616, 14243, 5025, 344, 8403, 595, 269, 543, 12275, 2275, 17144, 6261, 2946, 30959, 808, 269, 476, 1001, 271, 269, 1849, 553, 604, 328, 524, 24265, 632, 17485, 2250, 714, 2297, 10300, 6759, 25206, 17485, 1642, 562, 648, 4614, 632, 631, 2946, 343, 4815, 607, 1539, 15606, 598, 829, 761, 334, 632, 15255, 9299, 1457, 553, 630, 7261, 5991, 558, 903, 30067, 4618, 639, 2567, 4129, 21059, 586, 1439, 655, 1143, 334, 632, 1965, 23853, 269, 4860, 529, 2389, 320, 5165, 545, 3570, 632, 21954, 1392, 21059, 10037, 281, 25002, 268, 275, 1626, 563, 14503, 2803, 808, 269, 543, 5696, 542, 525, 744, 269, 476, 1220, 272, 269, 7233, 1272, 1106, 543, 23286, 538, 513, 11204, 954, 9341, 9390, 281, 2360, 540, 3037, 1216, 1761, 543, 2837, 269, 4750, 540, 1488, 573, 2037, 4921, 5325, 281, 476, 4366, 276, 268, 5392, 278, 269, 4469, 2803, 808, 269, 543, 4236, 2784, 334, 661, 269, 476, 1960, 279, 269, 2885, 1588, 543, 2038, 2208, 7592, 454, 1993, 476, 1691, 2030, 2249, 5065, 547, 7187, 6792, 269, 3162, 13523, 7849, 626, 6246, 281, 476, 2412, 268, 5379, 563, 18661, 6403, 928, 345, 25575, 29166, 345, 670, 1421, 5651, 27713, 595, 269, 543, 5211, 320, 5025, 7666, 1791, 966, 269, 476, 1001, 273, 269, 15168, 2173, 1588, 267, 6668, 543, 2208, 540, 1614, 15466, 2371, 593, 1979, 23383, 3766, 673, 3037, 2267, 7370, 689, 513, 11204, 9341, 9390, 269, 7233, 10334, 454, 295, 1177, 7719, 595, 17679, 269, 476, 1220, 274, 269, 5843, 6716, 1143, 657, 1642, 647, 601, 334, 267, 2030, 553, 679, 10652, 580, 549, 632, 970, 514, 857, 11252, 586, 3288, 11122, 24265, 1642, 1319, 528, 1537, 632, 8419, 269, 8278, 2670, 2389, 655, 553, 1321, 281, 272, 268, 277, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 2735, 272, 320, 269, 590, 27713, 2389, 8412, 2983, 690, 337, 5451, 325, 3821, 632, 715, 826, 17383, 2274, 11252, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 2735, 272, 321, 269, 590, 27713, 2389, 8412, 2983, 690, 337, 5451, 325, 3821, 632, 3213, 24660, 10042, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 1220, 273, 269, 590, 27713, 2389, 8412, 632, 22252, 24265, 2983, 690, 337, 5451, 325, 3821, 1642, 1609, 5964, 632, 5842, 30511, 8000, 657, 6403, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 297, 2378, 926, 631, 1421, 570, 822, 8270, 589, 1421, 2098, 541, 724, 600, 715, 1421, 670, 21983, 3901, 328, 13850, 6993, 1421, 2098, 732, 595, 8160, 6993, 2676, 4537, 597, 345, 6598, 590, 1421, 10897, 7568, 643, 663, 670, 1421, 14858, 6255, 629, 1014, 13850, 10611, 269, 543, 1924, 327, 4599, 328, 631, 269, 476, 1220, 275, 269, 24951, 930, 3601, 540, 12933, 539, 543, 4608, 27434, 11934, 538, 1325, 698, 565, 16323, 540, 9459, 269, 9031, 4750, 540, 12594, 454, 17315, 2784, 334, 661, 269, 543, 4639, 984, 344, 631, 269, 476, 1960, 273, 269, 2885, 1588, 7350, 540, 694, 548, 322, 268, 1540, 3844, 8241, 2371, 269, 8241, 4750, 540, 17905, 454, 299, 525, 3821, 623, 269, 543, 17125, 569, 808, 2529, 269, 476, 1960, 273, 269, 12186, 540, 6939, 690, 25271, 3037, 12933, 593, 519, 2551, 6384, 540, 6259, 529, 905, 322, 1495, 320, 630, 289, 14993, 545, 19687, 1916, 13563, 11068, 1633, 7849, 626, 12553, 281, 7871, 268, 2568, 563, 30537, 2473, 10611, 1421, 808, 807, 2473, 13034, 1421, 7043, 700, 269, 304, 269, 543, 2098, 518, 2041, 590, 269, 476, 1220, 276, 269, 12186, 540, 1979, 23383, 3766, 673, 3037, 2267, 7370, 593, 6079, 4871, 267, 23286, 543, 10661, 540, 1079, 5993, 2030, 2249, 538, 519, 570, 1263, 3455, 19164, 630, 301, 3624, 1040, 7233, 543, 14606, 28071, 281, 23841, 268, 4343, 276, 563, 299, 1993, 623, 269, 543, 8709, 645, 13873, 808, 269, 1290, 1186, 269, 476, 2735, 278, 269, 1924, 2812, 540, 519, 2622, 269, 2902, 320, 2389, 1308, 14606, 13129, 543, 6176, 10418, 267, 14174, 302, 267, 20648, 269, 29021, 3163, 14539, 3213, 267, 5549, 269, 24545, 563, 299, 6759, 19649, 4211, 677, 15530, 589, 1421, 15609, 962, 269, 543, 25661, 17144, 5336, 12245, 517, 5964, 808, 269, 304, 269, 476, 1001, 271, 269, 4144, 268, 951, 21059, 535, 328, 2845, 523, 18863, 3821, 632, 1965, 23853, 632, 5843, 1723, 548, 639, 632, 1942, 6652, 1979, 565, 6759, 11551, 553, 632, 647, 601, 334, 632, 3288, 4050, 6403, 985, 3121, 632, 645, 24652, 4993, 267, 631, 2946, 343, 4815, 563, 3725, 341, 16695, 5165, 545, 3570, 632, 21954, 1392, 21059, 10037, 281, 272, 268, 278, 563, 300, 565, 2088, 8566, 21838, 571, 966, 8160, 269, 476, 1001, 274, 269, 8779, 6652, 1979, 565, 6759, 11551, 553, 1642, 647, 601, 334, 679, 3235, 2670, 2389, 655, 553, 632, 2250, 714, 2297, 1642, 5621, 328, 680, 8457, 1642, 14926, 324, 632, 631, 2946, 343, 4815, 269, 570, 8412, 2703, 2389, 7394, 269, 11120, 738, 611, 632, 595, 1329, 857, 553, 11206, 2297, 267, 10713, 21059, 4201, 11252, 5448, 632, 715, 826, 17383, 2274, 11252, 269, 700, 2088, 637, 269, 476, 15782, 6032, 563, 300, 2632, 320, 29823, 595, 1421, 28533, 1725, 16619, 645, 269, 543, 5696, 542, 525, 744, 269, 476, 1960, 276, 269, 14606, 1216, 946, 676, 1071, 25365, 19211, 543, 21823, 538, 519, 8828, 932, 8811, 340, 1695, 10224, 19164, 267, 6792, 269, 4750, 540, 1488, 573, 2037, 4921, 4029, 281, 272, 268, 1724, 269, 21546, 808, 15030, 269, 476, 1220, 277, 269, 21563, 4451, 974, 1319, 338, 21391, 23286, 540, 454, 12061, 28921, 2249, 538, 26151, 22465, 1875, 28921, 31922, 24790, 563, 302, 1206, 639, 631, 269, 543, 25672, 601, 631, 269, 476, 1220, 275, 269, 7720, 626, 675, 2175, 543, 519, 4527, 540, 536, 787, 4451, 5052, 3313, 535, 525, 26443, 2249, 11606, 538, 513, 3819, 1608, 13282, 748, 31922, 269, 744, 1815, 860, 807, 15946, 281, 27840, 268, 26482, 563, 303, 18372, 631, 8160, 1421, 28574, 320, 700, 1421, 8845, 700, 1421, 543, 4236, 2784, 334, 661, 269, 476, 1001, 274, 269, 2961, 1461, 328, 22271, 24265, 1642, 647, 601, 334, 679, 3935, 5362, 632, 595, 2106, 558, 903, 30067, 4618, 639, 8585, 26713, 267, 476, 6245, 273, 679, 1714, 6862, 334, 652, 324, 632, 631, 2946, 343, 4815, 269, 4860, 16695, 5165, 545, 3570, 632, 595, 1329, 857, 553, 11206, 2297, 275, 281, 7176, 268, 10755, 563, 303, 2946, 30959, 4149, 17505, 31712, 681, 8160, 267, 4236, 2784, 334, 661, 1421, 932, 23981, 13305, 1173, 553, 700, 269, 543, 4469, 2803, 808, 269, 476, 1001, 272, 269, 23268, 23286, 540, 8828, 932, 8811, 340, 1695, 10224, 19164, 2371, 538, 3210, 547, 11506, 5210, 269, 4750, 540, 1488, 573, 30287, 268, 906, 4037, 281, 476, 7818, 268, 280, 3199, 563, 303, 6652, 572, 681, 269, 543, 18004, 330, 2459, 681, 269, 476, 1220, 271, 269, 6356, 540, 8762, 8438, 3037, 1147, 19904, 2267, 7370, 593, 11944, 540, 15466, 2371, 269, 7233, 17905, 454, 5226, 328, 10722, 2158, 13305, 5028, 808, 12282, 1421, 10011, 749, 534, 657, 6261, 2946, 30959, 661, 1421, 4406, 16780, 807, 4211, 770, 549, 595, 8160, 1421, 6742, 6403, 928, 345, 7304, 889, 1470, 808, 12282, 1421, 590, 17505, 31712, 14114, 331, 591, 320, 570, 269, 543, 8053, 525, 8566, 517, 345, 5451, 548, 345, 595, 6993, 269, 476, 1220, 280, 269, 661, 2739, 334, 632, 3288, 1942, 571, 1979, 565, 6759, 326, 3821, 865, 3691, 3288, 1102, 328, 561, 10177, 857, 11252, 632, 989, 7699, 679, 796, 2250, 714, 531, 269, 6833, 571, 21337, 15330, 545, 3570, 2767, 281, 27868, 268, 27840, 269, 1234, 13433, 8566, 6759, 1889, 345, 966, 8160, 1421, 22870, 1090, 2632, 525, 6261, 699, 5866, 667, 1421, 21001, 24229, 14114, 329, 20364, 715, 9950, 1421, 454, 306, 17505, 31712, 6363, 1716, 5451, 526, 14162, 623, 11065, 269, 543, 22870, 1090, 2632, 525, 14114, 331, 643, 553, 744, 6993, 269, 476, 1220, 278, 269, 14466, 601, 554, 573, 1503, 6759, 326, 4815, 268, 3711, 1304, 531, 632, 15255, 4412, 1221, 3547, 554, 573, 337, 5451, 592, 545, 553, 1642, 647, 601, 334, 15988, 328, 524, 658, 632, 3288, 24140, 523, 8619, 1642, 678, 6403, 334, 1230, 577, 657, 269, 769, 2102, 1512, 17144, 19743, 10377, 5451, 592, 3821, 679, 631, 2946, 343, 4815, 2420, 281, 3451, 268, 5379, 563, 305, 1853, 320, 5025, 7666, 1791, 966, 1421, 2696, 6403, 928, 345, 25575, 29166, 345, 670, 1421, 2494, 340, 749, 4211, 5995, 5060, 594, 269, 543, 14339, 337, 6403, 326, 22222, 19053, 541, 6210, 5633 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 519, 21897, 563, 4407, 6646, 1705, 711, 2087, 1565, 267, 519, 1353, 4951, 602, 6646, 5280, 1453, 2347, 811, 10160, 1740, 543, 2087, 741, 4928, 2623, 267, 607, 4397, 269, 1879, 2921, 6646, 267, 1453, 6192, 476, 4391, 2600, 811, 12980, 2042, 829, 8792, 543, 8149, 476, 7871, 2600, 7864, 4928, 4341, 19374, 829, 5662, 563, 12234, 267, 5812, 609, 3105, 2090, 267, 3173, 1336, 602, 6646, 5594, 5280, 547, 2087, 1449, 8464, 950, 6646, 568, 3144, 593, 519, 1554, 540, 513, 1449, 267, 855, 711, 2614, 547, 5818, 1034, 1453, 779, 9344, 269, 1280, 1383, 267, 6646, 5280, 1453, 2333, 593, 3328, 476, 272, 269, 278, 6871, 2798, 856, 540, 476, 1911, 593, 2257, 543, 1514, 2090, 4255, 563, 18719, 1324, 4081, 9740, 568, 1271, 585, 1453, 609, 11838, 1317, 3379, 547, 741, 9905, 267, 1453, 609, 11838, 8858, 811, 1055, 2389, 2532, 4928, 2623, 267, 4309, 2539, 9344, 267, 543, 3489, 2539, 8464, 593, 4255, 269, 1358, 849, 616, 811, 2693, 547, 4309, 2027, 2069, 2533, 267, 581, 17477, 585, 513, 3446, 543, 6749, 856, 1354, 22692, 269, 18648, 4081, 9740, 568, 835, 540, 519, 1034, 27676, 23043, 2404, 609, 11838, 267, 1419, 3056, 547, 519, 1279, 3856, 25367, 543, 2883, 7965, 602, 21656, 11838, 538, 15296, 563, 28095, 1382, 5342, 676, 19994, 5069, 267, 606, 11838, 1382, 543, 2126, 22082, 267, 814, 1336, 602, 8965, 3797, 2443, 950, 1031, 1101, 2443, 568, 1447, 7199, 543, 811, 2500, 538, 8156, 1453, 609, 11838, 982, 6646, 269, 29918, 592, 1218, 616, 1034, 2500, 607, 513, 29433, 267, 2034, 11060, 2126, 4781, 585, 1346, 945, 991, 621, 543, 693, 2539, 13066, 982, 3335, 11311, 269, 3958, 267, 519, 5980, 585, 25833, 543, 19884, 27435, 630, 16256, 21990, 264, 814, 3370, 1007, 4791, 4808, 602, 9244, 4363, 8965, 6304, 607, 519, 1101, 11060, 2126, 585, 6107, 609, 11838, 563, 2108, 5978, 1382, 814, 1336, 942, 543, 942, 1586, 602, 8965, 6304, 568, 1655, 585, 1453, 609, 11838, 1317, 789, 267, 741, 3610, 267, 543, 741, 3237, 1451, 1983, 543, 2994, 602, 786, 948, 873, 8011, 693, 1153, 267, 693, 1753, 543, 538, 3347, 1279, 3856, 2223, 1767, 19994, 5069, 269, 968, 8469, 21899, 938, 1453, 3085, 1406, 4194, 519, 1966, 22924, 1152, 3217, 2476, 519, 2589, 17303, 269, 5502, 267, 3885, 1058, 1445, 593, 8965, 7459, 1101, 543, 1039, 6646, 1152, 952, 2877, 3034, 6826, 24173, 543, 4081, 7459, 602, 25006, 2087, 6198, 15717, 1279, 3856, 585, 6107, 609, 11838, 1331, 2385, 2866, 543, 4928, 2861, 2359, 2645, 899, 513, 3232, 1867, 3556, 267, 543, 1153, 2533, 1808, 547, 4081, 9740, 971, 607, 476, 27843, 4566, 1496, 659, 5570, 617, 725, 3177, 896, 8791, 476, 27843, 540, 519, 29407, 2920, 540, 476, 3192, 274, 316, 543, 2027, 2069, 25191, 2069, 4566, 630, 296, 7968, 338, 1916, 12867, 4063, 602, 519, 1353, 729, 5342, 538, 513, 6417, 4832, 1153, 6438, 1604, 543, 2164, 949, 581, 1114, 538, 513, 2834, 4928, 4259, 269, 1358, 1131, 899, 547, 21613, 713, 1353, 538, 513, 2067, 4928, 1604, 1210, 4081, 21195, 936, 519, 8653, 540, 513, 1153, 1032, 547, 2417, 6218, 519, 1764, 540, 6646, 593, 1565, 563, 27270, 281, 968, 763, 1198, 540, 8102, 656, 6646, 593, 519, 1565, 540, 4081, 21195, 538, 1453, 609, 11838, 281, 589, 19747, 31832, 20108, 1353, 892, 676, 19994, 5069, 267, 654, 269, 661, 269, 8633, 267, 1325, 1206, 345, 17526, 267, 589, 269, 681, 1421, 8585, 18115, 267, 645, 269, 631, 1421, 14780, 32304, 267, 808, 269, 590, 1421, 5839, 15343, 324, 267, 674, 269, 700, 1421, 10548, 657, 267, 631, 1421, 717, 333, 698, 344, 267, 661, 269, 631, 1421, 13983, 10719, 267, 589, 269, 681, 1421, 2051, 525, 267, 661, 269, 918, 1421, 1230, 24335, 267, 595, 269, 631, 1421, 31701, 10247, 267, 595, 269, 808, 1421, 8738, 3455, 267, 700, 1421, 5651, 992, 267, 589, 269, 590, 1421, 2098, 29697, 267, 2473, 1421, 4210, 753, 517, 267, 808, 269, 631, 1421, 654, 1314, 332, 976, 5652, 267, 808, 269, 717, 1421, 1299, 19994, 5069, 267, 654, 269, 661, 1421, 12789, 1421, 476, 2537, 2904, 476, 1708, 273, 267, 4750, 540, 31173, 543, 11916, 10017, 563, 1607, 1353, 729, 3370, 538, 519, 4750, 540, 31173, 543, 11916, 10017, 543, 729, 14102, 676, 519, 2817, 4659, 593, 10076, 2657, 563, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 256, 630, 4696, 8461, 1916, 3674, 621, 513, 4524, 286, 634, 1344, 568, 8572, 547, 4482, 543, 11677, 519, 1719, 540, 519, 1268, 8995, 607, 2348, 11838, 269, 634, 11020, 3026, 584, 976, 616, 5409, 5562, 286, 1547, 1215, 1134, 723, 649, 324, 25528, 519, 3026, 584, 517, 8416, 286, 1772, 972, 513, 3989, 16453, 286, 6496, 621, 4268, 609, 942, 543, 824, 2188, 888, 3963, 798, 649, 3801, 547, 3514, 3388, 883, 513, 968, 31863, 3892, 7455, 892, 888, 28646, 267, 519, 856, 11502, 593, 519, 7455, 666, 2490, 782, 540, 1699, 1702, 593, 922, 2212, 269, 1703, 3884, 1406, 513, 3043, 610, 11954, 10788, 585, 3388, 896, 519, 3141, 267, 799, 649, 1810, 1406, 1174, 2336, 2171, 991, 547, 1711, 513, 1604, 585, 891, 8335, 705, 1194, 7606, 547, 21707, 563, 21366, 6829, 616, 2123, 543, 711, 11006, 593, 4896, 563, 303, 601, 5069, 779, 1382, 1058, 581, 2808, 14353, 269, 1261, 814, 513, 1279, 1686, 540, 2623, 26209, 4485, 547, 11838, 269, 2755, 5707, 1674, 729, 711, 5018, 538, 713, 5618, 2376, 267, 594, 666, 3592, 10018, 602, 21904, 941, 1500, 593, 8965, 7355, 4805, 543, 8102, 656, 9570, 729, 849, 1759, 9003, 593, 2623, 607, 1134, 269, 1261, 779, 606, 2025, 1153, 2623, 626, 538, 519, 2564, 2361, 1107, 972, 779, 711, 1454, 968, 25924, 892, 538, 1018, 646, 2853, 610, 840, 2851, 563, 2026, 1250, 1382, 267, 543, 1866, 899, 23172, 22978, 543, 7137, 16466, 723, 3254, 267, 8965, 5707, 1674, 5012, 547, 23043, 538, 2324, 3965, 269, 11554, 3965, 568, 7168, 1271, 585, 19174, 267, 865, 621, 568, 1100, 4898, 519, 4589, 4951, 1100, 1764, 540, 8102, 1218, 593, 9740, 269, 17610, 267, 789, 941, 5360, 5050, 267, 855, 952, 596, 10556, 2576, 779, 1565, 2702, 593, 2618, 32430, 1199, 338, 267, 596, 666, 1406, 2503, 873, 547, 798, 1732, 27268, 269, 1284, 1397, 513, 5276, 1198, 585, 2623, 267, 543, 513, 13392, 1198, 585, 17133, 267, 609, 2362, 13066, 10556, 532, 17133, 630, 6518, 568, 5812, 609, 23798, 2963, 543, 3662, 3631, 1040, 3776, 1382, 849, 2982, 8102, 1218, 1860, 22965, 600, 622, 267, 606, 1271, 32239, 585, 1565, 269, 1284, 4951, 22965, 600, 622, 4679, 950, 5042, 5707, 1674, 568, 1031, 267, 855, 621, 11081, 950, 8965, 5707, 1674, 568, 1031, 269, 901, 568, 5812, 609, 824, 1382, 593, 8102, 656, 2360, 593, 22965, 600, 622, 269, 3143, 4898, 891, 3214, 2623, 958, 5707, 3603, 1810, 1406, 1397, 1565, 9283, 267, 519, 6646, 9570, 596, 616, 1210, 791, 4202, 741, 1565, 2702, 2507, 563, 16032, 267, 17659, 267, 9474, 303, 323, 301, 454, 22832, 645, 269, 670, 1446, 267, 12854, 267, 9474, 303, 323, 301, 454, 2252, 594, 11074, 4758, 1250, 1126, 1010, 11838, 6646, 267, 646, 9327, 1406, 581, 4847, 547, 1451, 4376, 269, 1261, 8910, 3274, 581, 1932, 26688, 547, 519, 4928, 269, 769, 1249, 593, 519, 32300, 649, 1450, 1864, 547, 1491, 513, 2736, 689, 519, 1199, 338, 269, 1261, 2141, 2501, 1524, 543, 12134, 585, 621, 5128, 1317, 646, 30877, 1010, 3014, 1404, 543, 1514, 5872, 23119, 563, 1607, 568, 513, 12517, 30096, 1353, 689, 2789, 14621, 282, 1299, 267, 2215, 320, 1795, 773, 630, 328, 4318, 1421, 621, 568, 3297, 513, 2628, 13665, 1070, 972, 616, 2699, 17514, 607, 547, 875, 31719, 3280, 713, 1353, 2731, 2479, 1223, 581, 2443, 3226, 609, 2463, 547, 519, 14905, 779, 1378, 19078, 13832, 1299, 12333, 8943, 540, 18430, 269, 2334, 1281, 10691, 1611, 547, 17538, 13766, 267, 855, 950, 621, 779, 1360, 2352, 547, 1174, 875, 971, 606, 2376, 1223, 23710, 4601, 1780, 25398, 5623, 1299, 1071, 1877, 609, 519, 14905, 779, 1378, 4835, 2382, 6627, 2480, 337, 583, 4176, 1299, 1869, 581, 9516, 585, 22910, 2507, 263, 24047, 901, 568, 835, 3236, 1141, 14656, 1055, 1930, 267, 1857, 11660, 1299, 19078, 22987, 609, 513, 2628, 13665, 3884, 1406, 1175, 630, 11357, 560, 656, 1947, 264, 30940, 267, 621, 779, 30739, 535, 4593, 958, 19450, 1299, 1582, 12413, 324, 908, 563, 23744, 267, 594, 1810, 1406, 2731, 1174, 519, 3409, 547, 3163, 540, 602, 799, 1965, 7870, 22987, 3297, 513, 2628, 13665, 282, 594, 1413, 547, 7377, 704, 1299, 267, 676, 9949, 267, 2543, 713, 968, 16631, 892, 607, 4652, 1023, 16666, 282, 855, 519, 2628, 13665, 568, 28348, 538, 519, 4207, 7070, 1299, 568, 606, 25031, 4641, 630, 261, 4440, 1946, 3163, 11392, 865, 1454, 936, 1606, 651, 696, 6291, 1299, 1253, 6412, 1040, 15979, 267, 2705, 267, 2523, 607, 621, 12211, 547, 6811, 602, 616, 1500, 547, 1198, 1483, 1158, 11916, 5369, 12278, 13756, 1299, 270, 528, 9615, 267, 1299, 10483, 676, 16957, 11660, 11407, 3297, 513, 2628, 13665, 2443, 602, 267, 538, 1250, 6644, 267, 568, 30849, 547, 519, 1448, 1141, 621, 568, 967, 626, 3907, 27720, 689, 519, 1360, 10782, 540, 15554, 657, 7220, 563, 3963, 1131, 519, 14905, 3442, 547, 24183, 741, 1378, 6392, 1299, 741, 1378, 26117, 2507, 888, 3719, 3025, 6487, 602, 267, 621, 779, 1031, 547, 948, 609, 1445, 269, 634, 23319, 568, 11838, 3007, 17211, 30759, 4524, 269, 14268, 1451, 547, 798, 707, 1382, 1034, 1453, 609, 2699, 3925, 856, 6738, 713, 1510, 2921, 1003, 6883, 1199, 338, 454, 1839, 3764, 286, 2334, 779, 899, 3368, 513, 1362, 1974, 269, 634, 1483, 1449, 568, 875, 1134, 789, 1451, 476, 278, 3108, 883, 519, 1554, 563, 296, 6557, 513, 2852, 7548, 267, 11001, 267, 543, 594, 723, 1520, 24863, 563, 5804, 1250, 2123, 1995, 543, 1346, 609, 1053, 267, 713, 1281, 711, 9983, 803, 269, 594, 2760, 2219, 8102, 1218, 5280, 1053, 1451, 267, 855, 2864, 621, 5280, 873, 3514, 538, 547, 1362, 543, 1205, 2463, 689, 3610, 543, 15032, 269, 2334, 568, 519, 1483, 4324, 269, 674, 18017, 1312, 519, 12886, 540, 9905, 543, 3610, 568, 1018, 2306, 8102, 1218, 26656, 2507, 594, 2760, 5156, 621, 547, 2965, 948, 803, 1247, 3053, 730, 2507, 898, 1175, 2337, 3025, 3116, 3398, 803, 543, 1449, 803, 609, 2463, 563, 10481, 6048, 267, 2825, 26273, 267, 13544, 540, 782, 23194, 563, 296, 729, 8995, 609, 5916, 1826, 11838, 538, 476, 1708, 271, 693, 476, 6078, 1296, 2025, 269, 3143, 267, 594, 798, 711, 3494, 602, 519, 8102, 1218, 1118, 803, 1022, 21273, 267, 667, 308, 295, 18496, 11686, 3122, 269, 594, 3335, 1265, 602, 519, 6646, 1152, 2337, 803, 547, 1445, 593, 1250, 4247, 950, 594, 666, 1205, 8885, 3323, 593, 1346, 4247, 269, 898, 779, 899, 594, 7340, 602, 519, 19309, 4247, 616, 19309, 3006, 269, 9453, 8102, 1218, 594, 993, 1360, 3362, 26531, 269, 1703, 616, 9748, 540, 2589, 22290, 1018, 568, 5941, 22812, 572, 2117, 1117, 538, 519, 2376, 1107, 585, 513, 2603, 540, 873, 267, 899, 519, 7340, 995, 270, 30447, 1222, 20218, 3283, 267, 519, 8102, 1218, 948, 269, 594, 798, 1589, 602, 594, 1223, 946, 513, 2603, 540, 948, 609, 3919, 267, 855, 602, 779, 711, 3833, 1018, 646, 779, 11319, 568, 621, 286, 968, 6826, 24173, 6304, 892, 8726, 602, 1797, 269, 634, 3797, 1759, 5574, 798, 1118, 2631, 547, 803, 267, 855, 789, 616, 811, 7199, 543, 8423, 704, 7115, 269, 12321, 1328, 6499, 547, 581, 476, 2412, 1296, 2025, 543, 991, 513, 544, 20207, 547, 948, 596, 1205, 707, 521, 30995, 2944, 269, 1684, 594, 991, 513, 562, 698, 547, 2995, 803, 547, 798, 519, 1919, 602, 594, 917, 602, 594, 10093, 1406, 2944, 2943, 31170, 9320, 269, 9453, 3168, 883, 621, 267, 713, 1353, 1281, 3100, 547, 1489, 519, 798, 3766, 797, 518, 16786, 602, 568, 21678, 1996, 14453, 5574, 269, 898, 814, 602, 1482, 6413, 32724, 9329, 563, 296, 723, 827, 476, 2004, 1919, 602, 594, 991, 547, 581, 3257, 1318, 1631, 543, 14775, 547, 713, 2376, 3884, 1406, 835, 540, 873, 269, 2368, 7853, 1289, 519, 562, 15967, 563, 296, 6557, 476, 6812, 543, 594, 6557, 593, 966, 344, 7079, 572, 269, 966, 344, 7079, 572, 3085, 1406, 1118, 803, 21273, 269, 594, 6557, 2907, 476, 13970, 21842, 269, 898, 1175, 2636, 803, 547, 2347, 811, 1919, 267, 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 ]
[ 4015, 540, 873, 538, 519, 3818, 1606, 9285, 2013, 264, 568, 2141, 513, 2203, 540, 606, 15821, 3069, 269, 2334, 568, 267, 1169, 15821, 3069, 568, 267, 693, 2547, 267, 959, 643, 6053, 6916, 4192, 269, 1924, 952, 1312, 1269, 306, 259, 543, 1269, 293, 259, 616, 2838, 547, 3274, 581, 8580, 17313, 540, 4834, 267, 1287, 1269, 306, 2969, 22829, 6661, 306, 2969, 263, 293, 6661, 306, 2969, 22829, 315, 1633, 674, 21174, 9008, 259, 563, 1892, 1403, 782, 12204, 616, 2582, 2023, 5036, 267, 1287, 782, 4238, 616, 519, 2189, 1599, 883, 519, 2582, 2023, 1305, 267, 543, 782, 4834, 1413, 899, 1269, 265, 284, 265, 259, 1141, 1269, 265, 259, 6763, 585, 519, 2582, 3693, 269, 634, 23698, 851, 540, 18445, 713, 18005, 1131, 581, 10747, 15821, 6436, 543, 741, 3631, 282, 519, 4890, 6169, 1131, 581, 2241, 269, 1306, 606, 936, 26973, 1935, 281, 519, 7121, 540, 620, 613, 30944, 540, 1022, 4521, 3164, 3069, 814, 513, 12363, 1843, 630, 514, 1249, 782, 7182, 264, 799, 568, 17223, 1448, 3772, 267, 865, 1169, 4521, 3164, 3069, 814, 513, 2203, 4171, 15298, 568, 513, 2582, 2023, 1305, 269, 9484, 476, 2420, 267, 476, 1001, 278, 693, 476, 2420, 281, 4510, 454, 9336, 1305, 540, 24936, 1682, 5473, 1152, 4834, 543, 8580, 17313, 568, 6916, 4192, 676, 519, 2497, 9967, 540, 513, 2582, 3693, 4399, 28588, 8961, 609, 782, 21635, 14648, 607, 4399, 28588, 259, 543, 782, 4238, 607, 24735, 269, 901, 568, 865, 1317, 538, 713, 2497, 782, 4834, 3180, 269, 0, 258, 32389, 540, 2067, 2338, 692, 32098, 2813, 676, 661, 326, 6975, 681, 6359, 651, 267, 12049, 20891, 25234, 651, 267, 22189, 30410, 16587, 4211, 889, 1938, 267, 4432, 2946, 517, 648, 631, 13370, 267, 21563, 534, 13198, 267, 30486, 918, 294, 267, 8841, 2349, 534, 14024, 267, 535, 1716, 629, 24335, 267, 21514, 1143, 660, 20692, 543, 4731, 541, 2513, 780, 32046, 593, 476, 1708, 273, 268, 4905, 268, 2918, 780, 7116, 2544, 10026, 5991, 3784, 7308, 800, 269, 710, 638, 1275, 5991, 1823, 5991, 13246, 1141, 692, 3412, 7964, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 269, 611, 1288, 5991, 1823, 5991, 13246, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 6230, 738, 328, 6473, 5991, 1823, 5991, 13246, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 8542, 1823, 5991, 13246, 692, 13449, 1104, 5748, 269, 9146, 6823, 268, 1211, 5874, 1922, 17313, 454, 13449, 1104, 5748, 12500, 2435, 3146, 331, 725, 454, 13449, 1104, 5748, 6983, 691, 14198, 1790, 6055, 268, 18196, 454, 13449, 1104, 5748, 6983, 641, 6055, 268, 18196, 454, 13449, 1104, 5748, 19709, 322, 22421, 268, 18196, 454, 13449, 1104, 5748, 6155, 8817, 1790, 1515, 268, 18196, 454, 13449, 1104, 5748, 269, 24105, 268, 18196, 454, 13449, 1104, 5748, 8807, 4233, 268, 18196, 454, 13449, 1104, 5748, 8807, 684, 2758, 658, 640, 2275, 641, 6055, 268, 18196, 454, 13449, 1104, 5748, 269, 1211, 640, 268, 18196, 454, 13449, 1104, 5748, 269, 10864, 566, 454, 13449, 1104, 5748, 269, 2889, 21752, 454, 13449, 1104, 5748, 269, 22780, 15178, 454, 13449, 1104, 5748, 26509, 5744, 7400, 338, 692, 13449, 1104, 1931, 7308, 800, 269, 1842, 1115, 454, 13449, 1104, 1931, 7308, 800, 269, 2181, 7451, 7531, 1012, 22830, 692, 763, 6935, 18016, 593, 519, 2067, 2338, 568, 519, 2189, 6935, 971, 602, 476, 271, 568, 1447, 982, 1022, 2067, 1297, 267, 543, 971, 602, 544, 266, 272, 18016, 562, 266, 272, 568, 6697, 547, 544, 18016, 562, 780, 1012, 26479, 692, 2162, 32389, 593, 519, 2067, 2338, 692, 19008, 268, 11433, 499, 2433, 21508, 499, 9890, 21508, 499, 9890, 772, 308, 561, 14706, 454, 19008, 268, 11433, 499, 4642, 268, 11433, 499, 544, 815, 1770, 454, 19008, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 4642, 268, 11433, 499, 815, 8900, 454, 19008, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 630, 24175, 764, 268, 11433, 499, 544, 264, 815, 682, 336, 268, 11433, 499, 562, 544, 692, 8882, 1460, 476, 1789, 9041, 19749, 353, 268, 11433, 499, 29390, 318, 19749, 353, 268, 11433, 499, 318, 815, 682, 336, 268, 11433, 499, 7531, 2162, 20010, 4214, 540, 519, 8635, 593, 519, 2067, 2338, 692, 11907, 682, 336, 268, 11433, 499, 262, 2433, 21508, 499, 9890, 21508, 499, 9890, 772, 308, 561, 14706, 1141, 454, 516, 4148, 6122, 336, 268, 11433, 499, 262, 2433, 630, 333, 2433, 21508, 499, 264, 9890, 682, 336, 268, 11433, 499, 262, 562, 562, 454, 335, 1886, 698, 622, 6122, 336, 268, 11433, 499, 262, 2433, 2715, 343, 586, 1990, 2433, 21508, 499, 348, 9890, 13151, 268, 11433, 499, 586, 5236, 376, 507, 1990, 9890, 630, 19008, 268, 11433, 499, 262, 1535, 586, 264, 9890, 630, 19008, 268, 11433, 499, 262, 1535, 1990, 9239, 1012, 16544, 692, 2162, 32389, 593, 519, 2067, 2338, 568, 513, 20790, 692, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 568, 1790, 1886, 630, 19008, 268, 11433, 499, 544, 562, 994, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 568, 1790, 1886, 15492, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 1790, 1886, 15492, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 568, 1790, 1886, 268, 24105, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 1790, 1886, 6122, 336, 268, 11433, 499, 544, 562, 692, 19008, 268, 11433, 499, 6261, 1886, 2433, 21508, 499, 9890, 21508, 499, 9890, 11330, 561, 14706, 454, 1440, 272, 630, 19008, 268, 11433, 499, 6261, 1886, 544, 562, 264, 815, 682, 336, 268, 11433, 499, 544, 562, 454, 1440, 273, 630, 19008, 268, 11433, 499, 6261, 1886, 544, 562, 264, 815, 568, 1790, 1886, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 1232, 22421, 692, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 568, 11546, 322, 22421, 630, 19008, 268, 11433, 499, 544, 562, 994, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 538, 331, 5182, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 538, 331, 5182, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 538, 337, 7329, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 513, 17602, 775, 692, 935, 13906, 523, 622, 3887, 336, 6122, 336, 3887, 336, 268, 11433, 499, 10778, 12757, 262, 1535, 586, 586, 262, 2433, 21508, 499, 348, 9890, 1535, 262, 5236, 376, 507, 1535, 9890, 1535, 18016, 268, 11433, 499, 586, 9890, 586, 5236, 376, 507, 586, 262, 9890, 1535, 262, 18016, 268, 11433, 499, 586, 7055, 935, 13906, 523, 622, 3887, 336, 6122, 336, 3887, 336, 268, 11433, 499, 1201, 331, 670, 1201, 331, 815, 670, 692, 935, 13906, 523, 622, 6122, 336, 3887, 336, 268, 11433, 499, 10778, 9852, 2433, 21508, 499, 264, 2715, 333, 562, 262, 2433, 21508, 499, 348, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 562, 5236, 376, 507, 562, 262, 9890, 544, 18016, 268, 11433, 499, 562, 7055, 935, 13906, 523, 622, 6122, 336, 3887, 336, 268, 11433, 499, 544, 670, 1201, 331, 815, 670, 692, 935, 13906, 523, 622, 3887, 336, 6122, 336, 268, 11433, 499, 10778, 31551, 544, 262, 2433, 21508, 499, 348, 630, 333, 2433, 21508, 499, 264, 9890, 544, 262, 5236, 376, 507, 544, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 544, 262, 18016, 268, 11433, 499, 562, 454, 935, 13906, 523, 622, 3887, 336, 6122, 336, 268, 11433, 499, 562, 1201, 331, 670, 815, 670, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 16846, 633, 692, 516, 4148, 6122, 336, 268, 11433, 499, 2433, 630, 333, 2433, 21508, 499, 264, 9890, 562, 18016, 268, 11433, 499, 562, 454, 516, 4148, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 815, 5182, 454, 516, 4148, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 1201, 331, 6122, 336, 268, 11433, 499, 562, 692, 19008, 3887, 336, 268, 11433, 499, 2433, 630, 332, 562, 2433, 21508, 499, 264, 9890, 544, 5236, 376, 507, 562, 9890, 544, 18016, 268, 11433, 499, 562, 454, 19008, 3887, 336, 268, 11433, 499, 544, 1547, 332, 1201, 331, 815, 1201, 331, 6122, 336, 268, 11433, 499, 544, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 1098, 1438, 692, 10520, 1438, 6122, 336, 268, 11433, 499, 2433, 568, 20675, 1438, 682, 336, 268, 11433, 499, 454, 10520, 1438, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 544, 561, 533, 7117, 815, 5182, 454, 10520, 1438, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 561, 264, 533, 7117, 21591, 10520, 1438, 6122, 336, 268, 11433, 499, 562, 544, 561, 533, 7117, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 24431, 2096, 13240, 692, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 2433, 630, 332, 562, 2433, 21508, 499, 264, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 562, 18016, 268, 11433, 499, 544, 9890, 544, 5236, 376, 507, 562, 454, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 533, 7117, 815, 1201, 331, 454, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 533, 7117, 21591, 777, 13151, 268, 11433, 499, 630, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 544, 562, 533, 7117, 9239, 2162, 634, 13148, 10288, 1305, 540, 2067, 2338, 10288, 676, 8635, 692, 11433, 499, 6261, 516, 4650, 2433, 2776, 4650, 561, 14706, 561, 14706, 454, 1440, 272, 21508, 499, 6261, 516, 4650, 815, 21508, 499, 454, 1440, 272, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 264, 815, 682, 336, 268, 11433, 499, 6261, 1886, 454, 1440, 272, 630, 1440, 273, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 4297, 815, 1201, 331, 6122, 336, 268, 11433, 499, 454, 1440, 273, 630, 1440, 273, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 4297, 815, 1098, 1438, 6122, 336, 268, 11433, 499, 692, 11433, 499, 6261, 657, 564, 2433, 30142, 564, 561, 14706, 561, 14706, 454, 1440, 272, 21508, 499, 6261, 657, 564, 815, 21508, 499, 6261, 516, 4650, 454, 1440, 273, 21508, 499, 6261, 657, 564, 815, 24431, 2096, 13240, 6122, 336, 268, 11433, 499, 7531, 2162, 1280, 1022, 1079, 2067, 2338, 649, 666, 6430, 799, 835, 568, 1447, 982, 519, 824, 692, 15035, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 630, 332, 18016, 268, 11433, 499, 562, 264, 1341, 630, 333, 18016, 268, 11433, 499, 544, 994, 15035, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 538, 331, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 538, 331, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 538, 337, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 5276, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 1280, 1022, 1614, 2067, 2338, 267, 972, 616, 1614, 2665, 538, 875, 789, 666, 581, 10288, 692, 322, 1162, 19195, 31644, 3887, 6123, 268, 11433, 499, 10778, 3287, 586, 1990, 2433, 21508, 499, 264, 9890, 772, 308, 561, 14706, 454, 322, 1162, 19195, 31644, 3887, 6123, 268, 11433, 499 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 875, 547, 4194, 2042, 602, 8451, 1282, 519, 1576, 540, 741, 7365, 269, 2107, 835, 23947, 1522, 723, 1945, 789, 1616, 547, 2232, 609, 519, 824, 267, 855, 616, 711, 2386, 875, 547, 979, 827, 621, 269, 769, 891, 2665, 543, 1866, 267, 513, 24468, 666, 948, 1930, 909, 2792, 1063, 596, 563, 2467, 3657, 11153, 18169, 454, 2791, 1058, 917, 602, 972, 616, 811, 3681, 1631, 585, 7365, 13508, 982, 1175, 9361, 538, 513, 4055, 543, 6158, 827, 707, 2042, 269, 6732, 3797, 568, 4742, 811, 543, 811, 2442, 267, 543, 666, 581, 606, 5140, 4781, 585, 1346, 945, 666, 1406, 1265, 606, 5604, 7404, 267, 610, 1346, 945, 991, 513, 811, 8465, 8430, 269, 1403, 596, 723, 513, 11967, 3659, 596, 666, 1312, 1476, 728, 538, 7247, 596, 1589, 786, 581, 31717, 267, 602, 568, 1776, 4781, 269, 3509, 2250, 832, 540, 13039, 786, 849, 2709, 13508, 952, 596, 2307, 563, 2252, 596, 2461, 14126, 827, 1942, 267, 930, 31837, 1734, 798, 3382, 13508, 267, 865, 581, 2386, 547, 1413, 883, 707, 2640, 547, 917, 1018, 4010, 596, 1522, 723, 547, 2628, 269, 6732, 3797, 568, 10097, 267, 543, 596, 666, 1419, 6718, 15004, 540, 7886, 547, 948, 2539, 519, 3902, 269, 1403, 596, 616, 8247, 593, 4543, 707, 7365, 998, 513, 2352, 1974, 267, 596, 1058, 9260, 519, 3790, 540, 3797, 1996, 519, 1942, 540, 711, 3478, 1022, 948, 1700, 663, 602, 1522, 581, 513, 3902, 596, 1810, 1406, 1616, 547, 2628, 563, 7197, 1004, 1491, 585, 11292, 519, 2702, 547, 3533, 543, 18172, 2628, 585, 5370, 610, 2533, 609, 5491, 6486, 267, 32259, 6486, 610, 5985, 3457, 269, 1717, 267, 519, 3157, 3238, 538, 1818, 519, 957, 540, 9878, 865, 4674, 1652, 616, 3833, 4241, 269, 32237, 4066, 2099, 519, 3056, 6316, 540, 1312, 519, 6531, 543, 519, 5769, 540, 12085, 630, 31166, 264, 4867, 10024, 4948, 1272, 269, 13192, 10276, 12574, 1448, 540, 9042, 3301, 3156, 971, 607, 1849, 1478, 623, 5308, 1949, 1683, 519, 2556, 3095, 1063, 4393, 23525, 543, 5121, 547, 2285, 5561, 519, 10375, 543, 2922, 8569, 2409, 789, 7287, 563, 2414, 3398, 11033, 824, 982, 6666, 267, 22278, 1590, 1902, 538, 513, 4062, 540, 8800, 1634, 607, 513, 4393, 12363, 269, 1452, 3457, 267, 799, 1921, 547, 3556, 6868, 685, 8492, 998, 513, 5150, 3060, 267, 7001, 543, 18172, 10141, 2272, 543, 11834, 1239, 269, 634, 29307, 4871, 23607, 519, 1344, 543, 15920, 606, 28431, 610, 24677, 1394, 547, 519, 4393, 12363, 563, 28324, 618, 3301, 2337, 3313, 519, 3432, 693, 799, 519, 12363, 666, 6023, 8852, 269, 31327, 6531, 2861, 3156, 971, 607, 1234, 767, 623, 5308, 610, 1849, 1478, 1450, 519, 946, 540, 1875, 13652, 6463, 4393, 23525, 899, 19503, 6758, 28459, 1540, 609, 3556, 1085, 22395, 269, 1306, 9367, 3136, 547, 1039, 10124, 547, 1312, 3301, 543, 8800, 267, 22278, 543, 5561, 616, 11981, 519, 1082, 2640, 563, 763, 8569, 3435, 2872, 568, 6385, 9687, 607, 1587, 9367, 11441, 547, 2743, 519, 991, 540, 22278, 547, 4196, 519, 16111, 4657, 6208, 543, 7375, 540, 2221, 779, 6800, 563, 2252, 596, 616, 3168, 585, 519, 1318, 623, 5308, 1062, 585, 707, 1870, 267, 519, 8569, 4966, 693, 8585, 31008, 10055, 10298, 11348, 2933, 538, 7674, 782, 2010, 540, 3549, 269, 634, 6109, 849, 3091, 513, 9803, 268, 3433, 10018, 267, 865, 3346, 513, 11347, 2221, 267, 543, 1451, 811, 827, 519, 3681, 602, 616, 2139, 547, 596, 563, 11764, 1067, 538, 8419, 13054, 18519, 2395, 609, 19711, 28323, 543, 4764, 543, 713, 568, 3501, 4365, 585, 10860, 547, 669, 597, 335, 538, 543, 1491, 12062, 538, 2922, 4025, 269, 589, 4775, 18151, 23933, 5798, 543, 4679, 519, 2551, 540, 741, 2146, 1369, 513, 1906, 4374, 269, 14175, 20217, 538, 1585, 10860, 267, 543, 891, 10860, 666, 1118, 1480, 1272, 22946, 269, 3371, 616, 2947, 5013, 827, 4832, 7786, 538, 8419, 912, 1892, 23207, 2338, 540, 19498, 666, 3142, 538, 1585, 3676, 563, 1892, 1358, 666, 2014, 621, 577, 1465, 538, 519, 2960, 543, 7143, 1206, 602, 666, 2490, 538, 547, 30919, 585, 10347, 2960, 2010, 563, 1892, 17018, 10181, 3996, 666, 2482, 476, 1911, 338, 540, 5798, 538, 513, 1747, 607, 6263, 607, 519, 1698, 540, 513, 11480, 563, 1892, 14400, 6770, 538, 30412, 899, 17605, 267, 15483, 30294, 267, 20151, 267, 5127, 12961, 267, 543, 811, 563, 1892, 2290, 666, 1832, 741, 10450, 2973, 543, 4894, 1022, 4990, 540, 1216, 4859, 267, 855, 1287, 835, 3112, 1852, 1018, 12543, 798, 269, 9747, 835, 2115, 547, 1118, 2386, 547, 1491, 3063, 3106, 543, 15416, 563, 9336, 1268, 6499, 547, 723, 513, 31978, 545, 543, 2973, 6197, 269, 4658, 3494, 538, 5329, 741, 10450, 2973, 865, 602, 835, 666, 2057, 1022, 4990, 540, 10860, 610, 30412, 693, 1753, 269, 1809, 607, 4166, 607, 835, 3268, 3544, 519, 2777, 267, 519, 19498, 1376, 24146, 269, 1703, 1522, 581, 17605, 593, 519, 6371, 602, 666, 29097, 3214, 543, 1118, 873, 1964, 1652, 1813, 547, 14021, 21422, 593, 519, 2960, 269, 17018, 10181, 3996, 616, 849, 519, 19057, 540, 1585, 3676, 267, 1498, 930, 540, 873, 723, 2907, 1044, 16701, 5344, 267, 855, 1869, 789, 3142, 538, 8290, 585, 3676, 899, 7178, 20407, 543, 32760, 602, 666, 581, 5739, 585, 3425, 1700, 2523, 3214, 563, 11764, 11302, 616, 519, 942, 585, 7477, 725, 543, 3214, 899, 547, 979, 856, 543, 1404, 269, 9747, 267, 621, 568, 1271, 547, 3406, 585, 608, 32558, 2209, 2282, 596, 945, 666, 798, 11641, 1852, 1472, 519, 2777, 865, 602, 972, 568, 1100, 1129, 540, 1022, 5521, 693, 782, 269, 28814, 1852, 18151, 2126, 568, 5645, 856, 538, 2185, 3268, 269, 634, 608, 32558, 2209, 1101, 8524, 519, 1858, 789, 616, 9277, 547, 960, 593, 543, 2697, 519, 4025, 602, 12958, 10860, 563, 5445, 6146, 519, 4540, 19498, 543, 1287, 1491, 9013, 3800, 602, 2063, 585, 930, 4374, 269, 4495, 519, 19498, 616, 782, 7166, 543, 519, 10024, 540, 1007, 10860, 616, 19275, 267, 789, 1683, 5826, 3028, 1169, 3923, 865, 602, 19498, 666, 2760, 4283, 519, 6098, 1858, 269, 4658, 666, 2972, 3544, 519, 6417, 1858, 1510, 2348, 547, 5855, 827, 519, 17079, 17486, 563, 763, 608, 32558, 2209, 540, 570, 2086, 320, 616, 1134, 3222, 540, 519, 2199, 885, 543, 8754, 666, 1491, 3608, 3268, 2509, 9013, 10860, 269, 1358, 960, 585, 1312, 5010, 543, 10821, 2115, 543, 12247, 16798, 3435, 607, 789, 1376, 741, 1184, 269, 1358, 1256, 2709, 513, 2724, 1394, 10018, 538, 2013, 519, 7817, 1281, 711, 1439, 909, 3478, 606, 3608, 1267, 865, 602, 1004, 666, 3972, 519, 16950, 1652, 3028, 585, 11641, 1852, 543, 18151, 2126, 269, 13966, 609, 5329, 2476, 519, 19498, 267, 789, 849, 960, 547, 1852, 543, 4894, 30412, 267, 5127, 12961, 267, 15483, 30294, 267, 17605, 543, 824, 7320, 602, 616, 5458, 10860, 585, 10821, 2127, 602, 616, 5921, 585, 3425, 563, 2791, 949, 723, 8068, 602, 713, 5816, 814, 1044, 1603, 513, 1297, 540, 9708, 827, 2790, 1072, 25015, 269, 594, 5963, 3494, 602, 972, 814, 2760, 1044, 513, 811, 1271, 942, 585, 1004, 547, 581, 3478, 948, 952, 789, 991, 621, 269, 634, 1297, 540, 4648, 7446, 547, 960, 538, 519, 2790, 1072, 2361, 568, 3395, 267, 799, 568, 2556, 1317, 519, 1297, 540, 2550, 5275, 948, 568, 3395, 1932, 563, 2252, 596, 1589, 596, 2461, 538, 991, 540, 2576, 547, 2911, 547, 267, 621, 949, 581, 942, 547, 3343, 2790, 1072, 13508, 269, 634, 2262, 968, 322, 1735, 1088, 532, 892, 568, 2731, 1175, 513, 3376, 2165, 585, 519, 4758, 543, 8391, 540, 5796, 610, 5583, 269, 4107, 11932, 267, 513, 24468, 3947, 596, 2576, 547, 1476, 728, 538, 950, 621, 2501, 547, 707, 2790, 1072, 563, 288, 24468, 666, 581, 2576, 689, 1022, 540, 1896, 1114, 22825, 1700, 25791, 11832, 267, 13309, 267, 1256, 16895, 616, 2808, 24784, 269, 13689, 593, 707, 4087, 267, 596, 949, 1152, 723, 835, 610, 1896, 3681, 593, 4466, 513, 24468, 602, 779, 1318, 585, 596, 563, 26045, 1072, 13508, 666, 1491, 1082, 3029, 269, 1280, 5176, 1169, 1966, 513, 3461, 949, 723, 267, 972, 568, 2356, 513, 13309, 945, 24870, 538, 621, 269, 2368, 1806, 540, 7463, 13508, 949, 1331, 7365, 13508, 267, 1920, 13508, 267, 610, 3075, 8213, 13508, 269, 1703, 616, 849, 1346, 945, 723, 1978, 1983, 538, 7231, 609, 1453, 610, 2550, 945, 723, 1044, 998, 1978, 911, 30864, 267, 971, 607, 17971, 563, 4415, 865, 1082, 3681, 950, 621, 2501, 547, 4466, 2790, 1072, 13508, 267, 596, 949, 581, 11842, 1141, 547, 1376, 269, 3502, 1279, 3516, 594, 5206, 606, 2376, 827, 875, 596, 666, 2253, 707, 3460, 543, 1265, 519, 1318, 2186, 540, 13309, 585, 596, 269, 6271, 1434, 1259, 547, 1451, 827, 13508, 3681, 568, 3274, 998, 2262, 540, 5023, 269, 5213, 1406, 581, 12922, 547, 2307, 707, 2828, 543, 1920, 952, 789, 917, 4896, 945, 789, 666, 4363, 547, 948, 609, 2790, 1072, 2152, 269, 1452, 2395, 267, 519, 16663, 593, 4466, 543, 3478, 948, 585, 3054, 568, 7168, 1454, 8854, 267, 543, 1034, 1004, 616, 11235, 547, 2671, 741, 7840, 593, 24784, 789, 2648, 269, 898, 786, 849, 948, 547, 917, 596, 616, 711, 4805, 538, 707, 1391, 585, 2790, 8171, 563, 3383, 596, 723, 2097, 547, 519, 3375, 602, 596, 1616, 547, 3343, 948, 609, 1022, 2790, 1072, 2152, 596, 949, 581, 7680, 269, 3689, 540, 782, 267, 596, 1058, 1745, 10583, 602, 596, 2461, 1818, 519, 3903, 547, 11441, 547, 581, 707, 1655, 1582, 269, 1809, 621, 666, 1174, 2406, 581, 11566, 950, 596, 2253, 519, 3406, 547, 1265, 519, 1318, 1826, 540, 8502, 585, 596, 269, 1703, 616, 865, 1082, 5079, 1631, 267, 799, 568, 11613, 513, 1434, 3364, 267, 855, 621, 779, 711, 2141, 2653, 547, 3313, 1141, 547, 1265, 1416, 269, 594, 8910, 899, 547, 1683, 513, 1507, 3391, 547, 948, 596, 1118, 602, 3903, 563, 307, 24688, 2464, 5508, 11550, 4668, 8991, 454, 2414, 1376, 1055, 267, 1175, 519, 16166, 666, 581, 14845, 256, 3245, 16895, 547, 16293, 267, 24784, 547, 24004, 28748, 267, 621, 1522, 581, 2182, 547, 917, 1141, 547, 1376, 269, 3371, 779, 519, 3017, 1063, 7426, 543, 1018, 789, 666, 2709, 596, 563, 268, 5369, 5505, 1700, 17647, 513, 4110, 538, 6530, 269, 1358, 723, 6594, 8965, 543, 7209, 4713, 543, 21911, 269, 1358, 666, 1118, 21904, 855, 666, 1406, 21559, 1022, 6646, 269, 1358, 666, 948, 596, 3313, 513, 1576, 540, 2126, 543, 1018, 707, 1985, 3268, 1522, 581, 563, 268, 5369, 9332, 28748, 1700, 335, 1601, 612, 513, 2564, 4110, 269, 1358, 1810, 1406, 3335, 1683, 3797, 7886, 267, 855, 3079, 2743, 609, 513, 3461, 547, 1865, 1095, 21564, 6527, 563, 268, 26935, 1235, 1700, 4754, 723, 513, 4110, 538, 1585, 4610, 269, 1358, 616, 4712, 547, 948, 596, 2911, 827, 543, 2232, 2042, 543, 4606, 267, 543, 3391, 596, 998, 873, 693, 707, 1378, 10605, 563, 268, 21835, 832, 1700, 1492, 1482, 607, 16293, 855, 2356, 789, 13404, 593, 835, 20614, 610, 1776, 267, 1775, 4318, 269, 7365, 13508, 267, 1920, 13508, 267, 3092, 269, 13518, 899, 16895, 789, 666, 948, 596, 2708, 2042, 543, 1246, 513, 1544, 540, 2962, 563, 295, 8582, 9215, 8863, 302, 5308, 292, 454, 3080, 540, 519, 1101, 3268, 596, 786, 1616, 547, 1491, 568, 10992, 1018, 4010, 707, 6142, 786, 3382, 269, 3509, 31837, 1734, 786, 1152, 723, 513, 1978, 1297, 540, 1142, 1826, 540, 8502, 538, 3060, 269, 898, 779, 909, 547, 596, 547, 4137, 856, 952, 596, 616, 2111, 547, 6488, 547, 979, 538, 610, 856, 540, 3060, 585, 707, 3795, 269, 2142, 3222, 602, 2790, 1072, 2152, 1419, 2154, 2789, 11564, 547, 4308, 609, 267, 865, 1942, 1522, 581, 835, 540, 519, 1034, 1271, 2188, 563, 5629, 596, 4076, 3893, 707, 1592, 267, 1376, 10912, 1472, 269, 1411, 991, 547, 1294, 945, 568, 2921, 1007, 2550, 269, 901, 666, 581, 513, 2370, 771, 24711, 2287, 693, 2053, 1317, 621, 4667, 602, 1100, 835, 814, 606, 6679, 547, 9290, 596, 267, 855, 1810, 1406, 2285, 909, 269, 3038, 11107, 666, 1152, 1491, 865, 1454, 540, 513, 3461, 4452, 543, 1369, 513, 2110, 2179, 540, 942, 972, 949, 1831, 606, 6679, 2139, 693, 707, 6074, 8502, 563, 2252, 596, 2661, 538, 513, 811, 6917, 1858, 267, 596, 1522, 723, 513, 811, 3908, 1592, 547, 3442, 689, 269, 594, 917, 594, 993, 538, 513, 1507, 4884, 543, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2470, 267, 891, 29529, 26642, 616, 2938, 607, 513, 10770, 4466, 593, 1965, 15047, 2762, 269, 630, 3607, 994, 305, 532, 539, 24647, 540, 552, 28009, 30858, 1965, 15047, 4345, 454, 2026, 5941, 4505, 267, 2550, 609, 552, 28009, 30858, 1965, 15047, 4345, 949, 1020, 10058, 8258, 3697, 25034, 725, 630, 27271, 2404, 609, 513, 17122, 7453, 675, 610, 27556, 1965, 23569, 32560, 1070, 6721, 513, 8258, 539, 24647, 630, 5408, 7612, 476, 1626, 1040, 630, 4097, 264, 2755, 519, 31630, 540, 519, 14034, 568, 7164, 267, 713, 5920, 1058, 581, 3810, 2303, 633, 540, 552, 28009, 30858, 1965, 15047, 4345, 267, 3226, 538, 1762, 2367, 609, 1279, 29280, 7988, 874, 698, 807, 267, 20443, 1426, 1764, 687, 267, 543, 513, 1686, 540, 11959, 610, 10447, 563, 263, 272, 4700, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 269, 15302, 540, 519, 24647, 281, 23369, 609, 1965, 15047, 2762, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26801, 281, 29300, 268, 275, 2767, 563, 263, 273, 4700, 3400, 345, 1014, 328, 700, 267, 19594, 17844, 594, 267, 7931, 1725, 10008, 589, 267, 1696, 620, 269, 19043, 540, 27556, 30704, 640, 543, 12162, 983, 640, 540, 519, 1965, 23569, 11940, 6242, 693, 5595, 9762, 2858, 10237, 2762, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 276, 282, 1015, 281, 272, 268, 277, 563, 263, 274, 4700, 667, 756, 1076, 595, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 24544, 540, 17406, 1965, 15047, 4345, 593, 5595, 9762, 2858, 1965, 15047, 2449, 543, 1439, 22000, 1210, 519, 1277, 11043, 4681, 607, 519, 4154, 3044, 269, 2806, 3256, 24919, 269, 476, 1220, 275, 282, 3066, 281, 275, 2641, 268, 28883, 563, 263, 275, 4700, 23821, 710, 9049, 267, 5839, 2158, 589, 297, 267, 700, 879, 2536, 594, 269, 15443, 5866, 1965, 15047, 4345, 281, 6452, 5596, 540, 10237, 4919, 5868, 269, 7101, 5735, 269, 476, 2735, 276, 282, 15150, 281, 6812, 272, 268, 6812, 278, 563, 263, 276, 4700, 23821, 710, 9049, 269, 29956, 1965, 15047, 4345, 269, 12054, 514, 10162, 550, 2102, 565, 269, 476, 1960, 275, 282, 3066, 281, 30130, 268, 12573, 563, 263, 277, 4700, 717, 1030, 614, 654, 289, 267, 700, 879, 2536, 594, 267, 3798, 749, 590, 267, 3619, 3559, 966, 298, 269, 15443, 573, 15633, 538, 519, 29572, 539, 24647, 269, 7101, 5735, 269, 476, 2735, 272, 282, 15946, 281, 1839, 268, 2764, 563, 263, 278, 4700, 717, 5585, 19301, 267, 1855, 680, 1157, 27699, 267, 7108, 7322, 808, 267, 1696, 620, 269, 31946, 322, 8328, 1035, 13183, 2670, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 273, 282, 16928, 281, 6924, 274, 268, 277, 6434, 563, 263, 279, 4700, 10557, 267, 9399, 267, 12794, 670, 330, 267, 1635, 684, 808, 295, 267, 1696, 620, 269, 8111, 325, 2772, 1965, 23569, 2860, 281, 10507, 15047, 4919, 4681, 17047, 609, 1277, 13771, 11043, 4681, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26951, 281, 276, 3374, 268, 276, 4510, 563, 263, 280, 4700, 898, 2967, 962, 267, 918, 690, 675, 570, 267, 21411, 8500, 4821, 962, 267, 589, 7288, 344, 4821, 670, 269, 5262, 2224, 29656, 12162, 983, 15087, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 3192, 278, 282, 12553, 281, 6321, 274, 268, 276, 5780, 563, 263, 1015, 4700, 13535, 595, 267, 23821, 710, 9049, 267, 700, 879, 2536, 594, 269, 3752, 3202, 21385, 538, 17406, 1965, 15047, 4345, 281, 30521, 4919, 4681, 269, 2806, 3256, 24919, 269, 476, 1960, 278, 282, 2420, 281, 276, 268, 278, 563, 263, 1556, 4700, 23821, 710, 9049, 267, 700, 879, 2536, 594, 267, 918, 637, 1088, 32518, 267, 17054, 2006, 32518, 269, 4173, 6647, 1965, 15047, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 272, 282, 15793, 281, 279, 8287, 268, 279, 5780, 563, 263, 1321, 4700, 23821, 710, 9049, 267, 700, 4141, 341, 1676, 15829, 267, 590, 4954, 15562, 267, 1696, 620, 269, 4173, 6647, 1965, 15047, 4345, 281, 11576, 6638, 540, 5595, 9762, 2858, 1965, 15047, 2762, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 279, 282, 14681, 281, 6872, 268, 7830, 563, 263, 1724, 4700, 1744, 2176, 23932, 557, 631, 297, 267, 23821, 710, 9049, 269, 4173, 6647, 1965, 15047, 4345, 538, 6382, 2635, 2550, 281, 11916, 543, 10237, 4919, 4681, 269, 7101, 5735, 269, 476, 1960, 273, 282, 9264, 281, 5952, 280, 268, 279, 8618, 563, 263, 1691, 4700, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 700, 879, 2536, 594, 269, 645, 10740, 1965, 15047, 2762, 281, 589, 1353, 585, 782, 12405, 269, 7885, 30887, 10938, 565, 22031, 520, 565, 269, 476, 1220, 279, 282, 277, 281, 1556, 268, 1839, 563, 263, 1428, 4700, 3619, 3559, 966, 267, 7043, 645, 310, 267, 6762, 614, 717, 269, 589, 874, 628, 748, 21385, 538, 519, 24647, 609, 15867, 18255, 897, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 272, 282, 15389, 281, 279, 7761, 268, 9262, 274, 563, 263, 1626, 4700, 26440, 787, 572, 15679, 267, 1546, 2480, 515, 3899, 7537, 269, 589, 874, 628, 1355, 1965, 23569, 21385, 538, 15867, 18255, 781, 2068, 540, 476, 850, 636, 543, 3935, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 275, 282, 280, 281, 3192, 268, 1001, 563, 263, 1704, 4700, 589, 7219, 590, 267, 16515, 325, 534, 674, 267, 13391, 1002, 717, 267, 1696, 620, 269, 7261, 339, 727, 6549, 21552, 1965, 15047, 4345, 10511, 18469, 609, 6375, 657, 6269, 1833, 538, 11361, 9649, 1591, 12091, 4345, 2550, 269, 28544, 7885, 5890, 1763, 269, 476, 1001, 274, 282, 1839, 281, 21497, 268, 25908, 563, 263, 1240, 4700, 7720, 657, 580, 674, 267, 24162, 654, 299, 269, 10507, 15047, 4345, 1282, 6375, 657, 6269, 1833, 269, 2098, 28039, 15436, 565, 269, 476, 1001, 273, 282, 10170, 281, 30444, 268, 27628, 563, 263, 866, 4700, 674, 773, 6921, 631, 267, 15168, 4226, 345, 589, 267, 12821, 9508, 589, 267, 1696, 620, 269, 18401, 689, 18328, 309, 1965, 15047, 4345, 1310, 782, 10942, 545, 5642, 20768, 24328, 1210, 1875, 2173, 344, 601, 334, 629, 331, 894, 14555, 281, 634, 1909, 540, 6375, 657, 6269, 1833, 269, 808, 7885, 22870, 1503, 269, 476, 1220, 276, 282, 4097, 281, 25546, 268, 23417, 563, 263, 736, 4700, 15887, 2940, 1188, 700, 267, 7377, 990, 545, 631, 267, 717, 691, 1676, 590, 267, 1696, 620, 269, 26590, 7486, 3968, 9306, 609, 11213, 24948, 543, 1965, 23569, 21385, 269, 808, 24717, 269, 476, 1960, 271, 282, 28091, 281, 23211, 279, 268, 22446, 273, 563, 263, 2641, 4700, 29813, 590, 267, 23821, 710, 9049, 267, 918, 578, 1023, 7288, 23140, 267, 1696, 620, 269, 27951, 21385, 540, 519, 24647, 538, 2550, 609, 1480, 6375, 32759, 3644, 281, 11916, 267, 10237, 4919, 267, 543, 2619, 11043, 4681, 269, 7101, 5735, 269, 476, 1960, 276, 282, 3707, 281, 4510, 278, 268, 26493, 563, 263, 2420, 4700, 23821, 710, 9049, 267, 10753, 2075, 615, 717, 267, 15576, 345, 6390, 21096, 267, 1696, 620, 269, 27951, 267, 1480, 6375, 32759, 3644, 5829, 21385, 538, 519, 24647, 269, 7101, 5735, 269, 476, 1960, 272, 282, 5197, 281, 26825, 268, 30444, 563, 263, 2537, 4700, 2098, 690, 571, 325, 657, 717, 301, 267, 9677, 328, 611, 537, 667, 267, 7338, 667, 267, 1696, 620, 269, 10684, 14001, 1965, 15047, 4345, 269, 2598, 10507, 20652, 269, 476, 1220, 280, 282, 2420, 281, 277, 3451, 268, 277, 4391, 563, 263, 2190, 4700, 23821, 710, 9049, 267, 681, 1054, 7322, 28251, 267, 700, 879, 2536, 594, 269, 27951, 1965, 23569, 22377, 1813, 547, 7885, 528, 559, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1960, 272, 282, 14444, 281, 280, 4649, 268, 4817, 277, 563, 263, 1839, 4700, 24138, 808, 300, 267, 22398, 8124, 623, 267, 24138, 22720, 267, 16334, 11839, 11553, 269, 1325, 754, 1258, 622, 14001, 1965, 15047, 4345, 281, 8865, 1867, 540, 513, 5063, 6444, 1106, 540, 4049, 1965, 15047, 4345, 609, 1965, 23569, 7453, 675, 734, 2784, 328, 4919, 2934, 269, 7101, 5735, 269, 476, 1960, 279, 282, 18684, 281, 4343, 280, 268, 4375, 272, 563, 263, 2918, 4700, 23821, 710, 9049, 269, 4446, 21884, 24647, 281, 9337, 585, 10237, 5505, 269, 2806, 3256, 24919, 269, 476, 1220, 276, 282, 1789, 281, 15836, 268, 15221, 563, 263, 2767, 4700, 23821, 710, 9049, 267, 631, 944, 1084, 667, 301, 267, 4173, 1782, 518, 670, 267, 700, 879, 2536, 594, 269, 10507, 23569, 703, 1090, 1116, 15554, 617, 1853, 6776, 592, 2670, 281, 589, 556, 24834, 6672, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 277, 282, 15704, 281, 14138, 276, 268, 14056, 271, 563, 263, 2764, 4700, 700, 4240, 339, 651, 623, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 30521, 11043, 5868, 540, 22480, 1965, 23569, 7453, 999, 281, 589, 4806, 1935, 269, 15571, 20877, 923, 269, 476, 1220, 274, 282, 2537, 281, 8660, 278, 268, 3445, 280, 563, 263, 3066, 4700, 932, 334, 22804, 267, 9995, 619, 27493, 267, 25306, 10790, 267, 1696, 620, 269, 10507, 23569, 703, 1090, 1116, 15554, 617, 1853, 6776, 592, 2670, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 272, 282, 277, 281, 280, 268, 1626, 563, 263, 1789, 4700, 6875, 10202, 670, 267, 772, 523, 334, 808, 267, 715, 880, 527, 8643, 670, 269, 661, 551, 8084, 23441, 11940, 6242, 538, 519, 5580, 24647, 281, 2776, 28700, 543, 10237, 11043, 4681, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1960, 276, 282, 13932, 281, 3445, 272, 268, 3445, 275, 563, 263, 4029, 4700, 2871, 24473, 590, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 2422, 6888, 540, 536, 10740, 2090, 585, 1114, 11868, 22480, 543, 23872, 7453, 999, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1220, 274, 282, 5197, 281, 278, 4391, 268, 278, 4510, 563, 263, 3953, 4700, 23849, 559, 641, 9567, 657, 590, 267, 32298, 623, 267, 30080, 8538, 778, 589, 267, 1696, 620, 269, 634, 1507, 23343, 9200, 24647, 281, 1323, 796, 1952, 3285, 730, 2014, 540, 7988, 874, 698, 807, 585, 17571, 538, 2550, 609, 552, 28009, 30858, 1965, 15047, 4345, 269, 30887, 842, 652, 7736, 8113, 269, 476, 1220, 273, 282, 4649, 281, 4200, 268, 11793, 563, 263, 3451, 4700, 6519, 590, 289, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 634, 1507, 23343, 9200, 24647, 281, 30521, 4919, 1129, 540, 7329, 11340, 987, 545, 552, 28009, 30858, 1965, 15047, 4345, 269, 7101, 5735, 269, 476, 1001, 271, 282, 16348, 281, 14096, 268, 16328, 563, 263, 4097, 4700, 2098, 20810, 2006, 20793, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 594, 10972, 24403, 552, 28009, 30858, 1965, 15047, 4345, 538, 4079, 281, 634, 8258, 539, 24647, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26951, 281, 476, 14689, 268, 13679, 563, 263, 3374, 4700, 6341, 14508, 674, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 674, 5202, 24647, 543, 12884, 525, 23569, 17406, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1001, 271, 282, 3707, 281, 280, 7761, 268, 9032, 277, 563, 263, 3607, 4700, 23821, 710, 9049, 267, 7108, 7322, 32518, 269, 674, 12089, 29529, 26642, 538, 519, 24647, 281, 589, 1129, 540, 17406, 1965, 15047, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 275, 282, 16960, 281, 22550, 268, 30116, 563, 13731, 710, 661, 269, 3798, 24325, 267, 11022, 282, 543, 16205, 590, 269, 23821, 710, 267, 11022, 454, 7804, 269, 3798, 24325, 543, 3220, 269, 23821, 710, 616, 10237, 5505, 538, 519, 4972, 540, 7101, 5735, 267, 11233, 540, 519, 2160, 540, 12425, 267, 15740, 267, 13698, 269, 3220, 269, 23821, 710, 568, 513, 4759, 540, 519, 28007, 4604, 540, 11930, 7101, 5735, 563, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 12041, 10573, 10955, 24325, 267, 2441, 710, 661, 5919, 23821, 710, 267, 16205, 590, 8198, 347, 20684, 7392, 10573, 32747, 1867, 2008, 347, 14630, 10573, 13202, 476, 272, 267, 476, 1001 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1717, 267, 950, 513, 2048, 22474, 321, 685, 15185, 609, 513, 2048, 25669, 344, 328, 685, 1695, 685, 630, 314, 643, 8079, 7133, 2576, 3116, 267, 2612, 1828, 3587, 19585, 281, 519, 4636, 539, 1268, 814, 547, 31799, 721, 1101, 2336, 3383, 713, 568, 711, 827, 1022, 2048, 342, 3994, 4777, 532, 685, 593, 519, 21024, 779, 851, 267, 855, 2864, 827, 1022, 2048, 516, 704, 322, 15664, 685, 646, 1522, 723, 1303, 9229, 563, 13425, 476, 1015, 2427, 8386, 20933, 16627, 543, 4063, 912, 5278, 2161, 2048, 22474, 321, 685, 616, 2048, 325, 5435, 338, 685, 630, 312, 639, 18860, 18498, 543, 17124, 1306, 611, 3769, 1916, 8448, 338, 2161, 789, 616, 21359, 563, 22552, 20315, 12239, 2705, 267, 568, 1018, 631, 269, 670, 269, 1744, 752, 597, 5206, 912, 2108, 6546, 16589, 949, 31799, 707, 2146, 741, 2250, 24966, 543, 1346, 547, 1246, 543, 2347, 3571, 3870, 547, 596, 543, 1832, 596, 593, 513, 1318, 1259, 267, 630, 300, 269, 670, 269, 1744, 752, 597, 994, 7312, 2048, 4596, 12613, 7419, 14510, 286, 5990, 7644, 24966, 286, 1703, 616, 1100, 971, 1913, 538, 519, 12428, 267, 6862, 616, 789, 29742, 539, 689, 519, 2796, 563, 296, 14353, 602, 713, 3705, 614, 1223, 711, 32230, 540, 519, 21024, 2348, 1022, 2048, 325, 5435, 338, 685, 610, 2048, 1260, 2466, 1154, 1022, 21359, 16224, 8754, 519, 703, 28424, 1913, 269, 1809, 646, 1058, 723, 2322, 873, 1063, 23049, 267, 2864, 982, 1533, 602, 2696, 1767, 873, 563, 32091, 24153, 281, 27190, 1389, 786, 581, 1500, 1100, 2339, 875, 6297, 649, 616, 267, 865, 623, 4041, 17955, 1448, 856, 547, 803, 1022, 540, 9553, 799, 596, 13182, 630, 12898, 707, 1378, 1382, 1040, 594, 8910, 581, 552, 27238, 18507, 547, 596, 563, 275, 269, 2048, 2171, 723, 8118, 585, 596, 513, 8915, 270, 5271, 1211, 14956, 2287, 563, 3383, 602, 2696, 1131, 2612, 9876, 596, 540, 1022, 1991, 543, 2663, 1234, 704, 322, 15664, 267, 543, 11886, 2390, 596, 3571, 674, 2948, 267, 543, 3391, 1315, 326, 3424, 596, 513, 18135, 697, 2989, 2619, 269, 630, 314, 341, 7481, 763, 13458, 15521, 729, 540, 18678, 2956, 269, 898, 729, 519, 4259, 538, 799, 12271, 543, 8186, 3459, 547, 1930, 269, 769, 942, 267, 621, 19658, 519, 20106, 540, 2696, 779, 674, 2948, 20324, 870, 344, 2507, 543, 1305, 1004, 593, 519, 11461, 1576, 2509, 519, 18135, 697, 2989, 11202, 563, 8248, 864, 1058, 2760, 581, 4503, 8289, 540, 269, 13458, 1058, 581, 513, 5617, 773, 591, 779, 3804, 267, 909, 18988, 693, 782, 2053, 267, 609, 15683, 543, 5126, 563, 8248, 864, 568, 693, 519, 4295, 540, 7607, 267, 2208, 267, 11606, 267, 2648, 267, 8788, 267, 4656, 267, 543, 8171, 563, 8248, 864, 568, 938, 28551, 547, 519, 1158, 281, 2048, 306, 8403, 600, 592, 268, 700, 1695, 328, 513, 2917, 330, 636, 16224, 2048, 9802, 2696, 779, 13458, 581, 2390, 596, 782, 256, 20371, 5978, 1985, 7335, 568, 689, 670, 304, 476, 4366, 281, 275, 268, 1626, 563, 5804, 17124, 1306, 611, 912, 10527, 570, 16078, 540, 21972, 599, 6798, 344, 344, 1695, 729, 547, 6961, 540, 519, 6574, 2956, 547, 519, 2104, 540, 5771, 269, 1280, 519, 1101, 942, 538, 3670, 1296, 12560, 17066, 941, 3964, 1063, 2725, 17433, 543, 2405, 2088, 267, 543, 3976, 519, 1259, 729, 8118, 547, 519, 21774, 540, 9099, 2093, 883, 519, 3632, 12818, 540, 26768, 25384, 1143, 269, 634, 2725, 764, 753, 945, 1185, 8317, 547, 3643, 519, 7332, 3786, 693, 21972, 599, 6798, 344, 344, 1695, 8120, 7184, 24330, 676, 519, 6891, 543, 519, 9322, 540, 17124, 781, 13794, 267, 543, 1082, 540, 873, 3459, 547, 3649, 591, 538, 741, 29383, 2509, 519, 5132, 840, 3737, 676, 1864, 269, 1306, 4166, 607, 519, 21064, 13137, 3357, 547, 606, 1439, 543, 1004, 540, 1312, 5011, 1223, 2743, 11884, 267, 1007, 17838, 678, 718, 1221, 1472, 519, 21024, 267, 1101, 538, 9937, 267, 1287, 538, 7366, 267, 1287, 538, 5215, 910, 865, 1454, 865, 602, 950, 519, 25384, 2372, 7590, 327, 13264, 519, 1854, 576, 1079, 1296, 1310, 922, 10390, 267, 519, 21024, 1223, 543, 1705, 19582, 2725, 17433, 3592, 1510, 4187, 269, 4935, 267, 538, 1249, 952, 711, 538, 5920, 267, 519, 570, 16078, 540, 21972, 599, 6798, 344, 344, 1695, 721, 22363, 538, 519, 5837, 543, 2797, 11802, 540, 5771, 936, 782, 17936, 3034, 8450, 2407, 7300, 268, 20801, 1524, 547, 2048, 293, 677, 344, 7232, 12915, 2672, 571, 2507, 621, 779, 966, 28475, 4277, 2336, 18716, 28405, 8294, 12022, 281, 476, 28519, 20254, 404, 511, 20254, 24291, 24220, 8294, 24220, 18247, 476, 15906, 404, 374, 18716, 14507, 18247, 20901, 476, 28519, 20254, 404, 511, 8294, 405, 489, 269, 12168, 360, 14534, 18247, 405, 495, 476, 18716, 404, 511, 14534, 12022, 12168, 373, 12022, 405, 487, 476, 20901, 404, 364, 8294, 12168, 367, 8294, 404, 355, 14507, 405, 493, 27755, 8294, 476, 28519, 18716, 476, 20901, 404, 364, 8294, 24291, 24220, 14180, 8294, 404, 350, 563, 15906, 8294, 12022, 28519, 18247, 20254, 404, 511, 281, 24291, 14534, 8294, 404, 350, 476, 18716, 18247, 404, 362, 14507, 405, 493, 404, 361, 27755, 14180, 12168, 373, 18716, 14180, 405, 491, 12168, 352, 15906, 12168, 374, 18716, 14507, 20901, 8294, 269, 476, 15906, 8294, 12022, 28519, 18247, 20254, 405, 496, 404, 511, 269, 24291, 14180, 18247, 405, 495, 404, 369, 14507, 476, 15906, 8294, 12022, 404, 354, 404, 372, 28519, 8294, 14507, 269, 476, 15906, 8294, 25078, 20254, 28519, 20254, 404, 511, 20254, 281, 18457, 25078, 20254, 18247, 14180, 405, 496, 404, 369, 18247, 14507, 20254, 563, 14154, 19781, 568, 10911, 308, 18426, 585, 717, 4629, 310, 8025, 563, 2171, 723, 2907, 5941, 17607, 267, 799, 568, 938, 5207, 6418, 3804, 269, 9453, 2558, 534, 638, 1006, 270, 590, 820, 523, 1695, 972, 666, 581, 1100, 2208, 538, 17607, 269, 11569, 267, 607, 649, 723, 5018, 4505, 267, 519, 6587, 540, 17607, 568, 10691, 2048, 684, 10277, 1145, 19028, 3383, 875, 666, 649, 1332, 538, 2048, 10277, 1145, 685, 950, 972, 568, 1100, 4708, 888, 763, 6587, 540, 17607, 568, 20548, 1833, 269, 2290, 666, 1152, 581, 1459, 538, 519, 9000, 540, 519, 824, 563, 19894, 22419, 281, 5457, 519, 1650, 540, 519, 1079, 14930, 540, 14088, 267, 2048, 290, 664, 543, 2806, 601, 16224, 519, 20548, 31395, 543, 519, 589, 2264, 563, 6124, 22419, 281, 10925, 2048, 3279, 336, 11445, 579, 323, 11445, 534, 685, 538, 2048, 15507, 713, 13505, 19028, 2467, 568, 865, 1454, 32659, 538, 519, 1158, 2221, 267, 543, 782, 5011, 1745, 2048, 342, 3994, 539, 16224, 1247, 538, 4641, 649, 616, 782, 4636, 532, 6000, 269, 594, 3858, 609, 519, 6031, 602, 4422, 912, 8072, 4910, 550, 618, 568, 519, 8914, 596, 4235, 267, 1247, 15691, 621, 786, 6146, 707, 10546, 19028, 4517, 1287, 972, 616, 865, 1082, 6013, 256, 4658, 616, 14084, 2451, 543, 1318, 827, 519, 15878, 685, 534, 543, 827, 1142, 824, 269, 594, 1745, 20994, 585, 971, 7606, 269, 769, 513, 11830, 2772, 1533, 513, 1268, 666, 2760, 1332, 538, 17607, 269, 4658, 779, 6013, 1397, 1141, 789, 1796, 267, 711, 1152, 607, 595, 1758, 714, 656, 18972, 267, 855, 849, 607, 28288, 540, 741, 1378, 18321, 799, 15081, 9529, 18266, 543, 9607, 519, 29763, 538, 1022, 1893, 563, 32091, 24153, 281, 3143, 2339, 875, 25981, 513, 2048, 8248, 864, 5174, 4265, 518, 685, 7959, 267, 521, 270, 515, 3112, 6707, 2232, 8954, 633, 2152, 1510, 1620, 519, 15878, 685, 534, 2507, 799, 2306, 594, 336, 337, 7752, 577, 718, 3188, 540, 24315, 4456, 5495, 18199, 2956, 2221, 563, 314, 643, 316, 589, 2048, 25669, 344, 328, 685, 1695, 685, 568, 513, 3983, 2048, 1372, 539, 685, 8149, 1996, 1866, 563, 2108, 2507, 4263, 713, 1448, 538, 942, 270, 10472, 1554, 519, 9324, 4536, 723, 16339, 8529, 540, 707, 9208, 540, 10055, 1464, 12168, 363, 18716, 14180, 405, 481, 14534, 630, 572, 4370, 922, 9860, 543, 16523, 1070, 865, 798, 711, 3180, 873, 538, 25713, 267, 855, 1796, 538, 25713, 540, 2725, 282, 593, 713, 1554, 594, 723, 4547, 547, 12032, 265, 585, 596, 267, 707, 9208, 540, 10055, 1464, 267, 543, 594, 723, 24009, 2390, 596, 267, 1250, 674, 2948, 267, 543, 594, 723, 9516, 267, 585, 596, 267, 8830, 640, 538, 32672, 5270, 270, 5771, 607, 513, 9208, 540, 10055, 1464, 2507, 892 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2273, 548, 646, 6854, 621, 538, 5728, 865, 922, 9589, 7060, 1131, 2149, 1864, 689, 519, 5682, 26427, 269, 717, 1177, 664, 4166, 4121, 602, 1010, 25796, 1145, 543, 4250, 666, 25010, 1010, 5837, 454, 2691, 519, 7083, 645, 23459, 752, 610, 519, 3039, 27585, 267, 8483, 1161, 717, 1177, 664, 585, 713, 5609, 646, 23465, 267, 968, 10190, 646, 10544, 5523, 519, 575, 2273, 548, 543, 796, 326, 9312, 922, 24516, 543, 454, 294, 1177, 664, 267, 945, 1185, 13351, 513, 4308, 609, 519, 18459, 547, 21704, 782, 1919, 646, 4607, 1282, 1010, 3251, 538, 519, 18459, 779, 23029, 267, 14543, 547, 798, 865, 538, 519, 2012, 540, 1582, 25535, 3569, 269, 634, 18459, 779, 7385, 13344, 11184, 717, 1177, 664, 513, 3039, 521, 1662, 15555, 1819, 547, 2149, 922, 4865, 528, 689, 2168, 2800, 269, 717, 1177, 664, 267, 11291, 532, 1010, 17149, 5870, 609, 519, 5682, 26427, 267, 16976, 547, 17591, 1010, 6876, 609, 519, 18459, 543, 968, 327, 573, 314, 525, 316, 621, 2476, 689, 782, 3946, 543, 4064, 892, 630, 18118, 476, 6942, 276, 1040, 3571, 3375, 1025, 520, 14688, 26991, 519, 669, 2526, 9317, 3009, 267, 968, 325, 9430, 513, 5837, 1449, 538, 3858, 532, 547, 12404, 519, 575, 2273, 548, 689, 519, 9393, 267, 609, 7247, 646, 814, 519, 1991, 11460, 547, 5385, 3094, 11789, 892, 630, 26156, 476, 280, 1040, 11184, 717, 1177, 664, 771, 637, 4624, 519, 18459, 7247, 729, 8027, 1864, 950, 646, 4956, 547, 1832, 519, 521, 1662, 513, 5728, 269, 901, 3375, 849, 17591, 539, 1010, 522, 987, 547, 3717, 5168, 693, 782, 2053, 1317, 646, 1705, 711, 30035, 1010, 10516, 519, 18459, 267, 543, 4061, 18549, 561, 1221, 547, 519, 18459, 269, 11184, 717, 1177, 664, 14543, 547, 27481, 519, 669, 2526, 9317, 3009, 998, 1010, 3922, 1436, 585, 1582, 25535, 3569, 936, 26621, 1010, 7029, 547, 8284, 454, 763, 5682, 26427, 3365, 7596, 539, 11184, 717, 1177, 664, 585, 2713, 909, 547, 1010, 1439, 540, 519, 20476, 664, 269, 634, 5682, 26427, 2220, 2426, 7466, 693, 717, 1177, 664, 779, 8405, 543, 519, 1101, 942, 717, 1177, 664, 1166, 514, 3481, 543, 519, 2034, 942, 519, 5682, 26427, 11074, 1318, 1354, 1010, 8405, 269, 634, 3791, 942, 519, 5682, 26427, 23638, 519, 4949, 324, 543, 9397, 519, 2960, 855, 3085, 1405, 1232, 777, 10028, 717, 1177, 664, 269, 6904, 3366, 547, 519, 5682, 26427, 7713, 547, 717, 1177, 664, 602, 646, 568, 2965, 519, 1482, 18459, 540, 519, 14500, 1141, 717, 1177, 664, 6170, 1010, 14812, 269, 634, 1101, 1079, 9514, 338, 267, 646, 6811, 267, 941, 538, 2132, 585, 519, 1259, 717, 1177, 664, 8120, 519, 21098, 525, 540, 1010, 7385, 267, 1739, 519, 3652, 540, 741, 3014, 607, 606, 9237, 812, 1058, 269, 634, 3791, 9514, 267, 646, 3081, 267, 729, 585, 717, 1177, 664, 779, 5821, 547, 2132, 519, 3039, 575, 2273, 548, 547, 1864, 593, 519, 2063, 1554, 269, 1809, 1317, 717, 1177, 664, 779, 17528, 729, 1152, 1317, 646, 4941, 547, 4688, 1010, 1272, 267, 543, 711, 1317, 646, 781, 1175, 31081, 22789, 267, 519, 5682, 26427, 8483, 1161, 1864, 269, 1261, 3762, 717, 1177, 664, 609, 1152, 513, 10077, 543, 513, 575, 2273, 548, 607, 513, 12576, 540, 1010, 1360, 1480, 5609, 269, 717, 1177, 664, 7024, 547, 3751, 14880, 779, 5480, 782, 11849, 3139, 543, 8909, 602, 646, 779, 8959, 513, 1449, 540, 8956, 676, 609, 3835, 532, 519, 3039, 575, 2273, 548, 689, 11184, 645, 23459, 752, 856, 540, 513, 7287, 547, 8190, 1010, 1378, 1272, 269, 1261, 7959, 899, 646, 779, 8959, 538, 1010, 10279, 607, 513, 27585, 543, 1577, 3025, 1524, 269, 12344, 267, 811, 11932, 267, 646, 779, 4121, 602, 646, 779, 711, 3501, 543, 2760, 786, 581, 269, 1261, 6941, 547, 519, 2898, 5480, 602, 646, 4566, 547, 5957, 519, 575, 2273, 548, 11014, 607, 513, 12576, 540, 1010, 17528, 267, 1317, 834, 320, 812, 949, 12404, 1010, 3765, 1372, 539, 267, 855, 2760, 32135, 621, 267, 585, 1141, 2899, 621, 3217, 3597, 519, 12962, 666, 2760, 581, 24850, 2668, 1809, 3079, 540, 1373, 5265, 865, 321, 1229, 267, 519, 2898, 5480, 14902, 338, 693, 717, 1177, 664, 779, 1913, 543, 23216, 602, 3025, 538, 5480, 786, 5957, 513, 2147, 575, 2273, 548, 585, 717, 1177, 664, 779, 454, 293, 5435, 543, 25863, 269, 1548, 798, 891, 1079, 1913, 2731, 798, 538, 938, 2729, 286, 1684, 789, 2285, 721, 1776, 4960, 610, 616, 789, 1175, 2035, 602, 649, 1616, 547, 1246, 286, 769, 519, 1158, 649, 2661, 538, 267, 835, 13337, 666, 1419, 1118, 610, 2736, 1945, 538, 938, 2729, 267, 855, 950, 11292, 609, 25863, 267, 649, 1810, 1406, 2141, 1491, 621, 607, 12517, 607, 2877, 543, 4166, 938, 13337, 3587, 2576, 3116, 779, 11348, 269, 11184, 717, 1177, 664, 779, 24966, 666, 581, 513, 3586, 12576, 540, 519, 9073, 649, 782, 1118, 607, 3425, 2059, 609, 519, 10839, 267, 968, 2005, 568, 2312, 1287, 602, 972, 666, 581, 1100, 25863, 1510, 13337, 267, 1175, 607, 835, 568, 8572, 547, 2132, 689, 24815, 1510, 1101, 1373, 2366, 883, 835, 269, 2290, 779, 4502, 568, 1152, 865, 1454, 3152, 1310, 513, 2132, 689, 513, 2887, 267, 2094, 952, 835, 568, 16950, 1652, 267, 835, 814, 4986, 547, 2744, 543, 4061, 4986, 454, 2026, 606, 16869, 2829, 267, 968, 290, 761, 923, 2015, 519, 11015, 540, 519, 6249, 513, 2101, 10697, 540, 11184, 717, 1177, 664, 543, 519, 5682, 26427, 543, 789, 3136, 547, 7521, 2436, 519, 1483, 1449, 729, 1018, 5949, 693, 16836, 670, 2246, 9188, 1068, 2864, 982, 519, 5385, 540, 9514, 338, 267, 607, 1134, 607, 2436, 267, 6368, 267, 717, 1177, 664, 5293, 610, 8959, 519, 4255, 892, 630, 12218, 673, 543, 19744, 9085, 29576, 1040, 634, 2601, 519, 13915, 2161, 713, 568, 1317, 789, 1294, 602, 519, 1483, 610, 7654, 519, 1483, 1449, 729, 950, 11184, 717, 1177, 664, 729, 538, 519, 14500, 3478, 7318, 676, 519, 4622, 799, 7140, 856, 547, 581, 519, 4622, 2864, 982, 3478, 2220, 2426, 693, 609, 606, 4949, 324, 269, 4014, 11184, 717, 1177, 664, 729, 711, 3222, 602, 519, 4622, 729, 4152, 1864, 896, 891, 6381, 646, 1705, 1616, 646, 1185, 547, 798, 1256, 952, 621, 5921, 646, 729, 513, 3787, 20247, 5819, 950, 2921, 519, 3039, 521, 1662, 269, 1306, 11184, 717, 1177, 664, 2829, 267, 2048, 2108, 2467, 267, 972, 779, 1250, 13337, 256, 634, 28067, 535, 328, 754, 1654, 343, 621, 892, 630, 1467, 476, 4343, 280, 25631, 11184, 717, 1177, 664, 2829, 713, 1317, 2899, 519, 3039, 27585, 11240, 338, 5128, 607, 519, 4622, 547, 11184, 717, 1177, 664, 646, 7959, 11849, 3139, 602, 646, 3576, 519, 3039, 521, 1662, 855, 6920, 602, 621, 779, 519, 4622, 779, 7385, 779, 13337, 1317, 1352, 6854, 1202, 12371, 602, 646, 1491, 621, 269, 4014, 713, 568, 8197, 3020, 621, 729, 1317, 519, 4622, 2322, 1010, 7385, 547, 621, 547, 1449, 11184, 717, 1177, 664, 779, 561, 1195, 958, 543, 19969, 855, 646, 1869, 12662, 782, 519, 16620, 593, 519, 4622, 779, 7385, 269, 1677, 17412, 4896, 945, 2306, 9073, 1058, 711, 2322, 519, 16620, 593, 2576, 3116, 2322, 2864, 2933, 543, 1451, 689, 519, 454, 5575, 540, 782, 2073, 689, 15248, 645, 23459, 752, 779, 1448, 540, 2070, 2073, 543, 538, 519, 1101, 5123, 689, 717, 1177, 664, 779, 5133, 849, 2073, 621, 4564, 513, 9059, 5657, 1143, 534, 269, 634, 14799, 13290, 547, 18609, 717, 1177, 664, 547, 1491, 519, 575, 2273, 548, 676, 20726, 532, 693, 922, 9589, 7060, 2073, 17548, 602, 646, 968, 322, 746, 711, 581, 1793, 664, 998, 1022, 4640, 593, 3618, 892, 630, 6977, 275, 264, 952, 646, 31273, 621, 1547, 717, 1177, 664, 3217, 519, 575, 2273, 548, 711, 856, 540, 561, 755, 2073, 855, 1317, 646, 12194, 2669, 543, 602, 2306, 1864, 1376, 547, 3494, 538, 922, 9589, 7060, 968, 2005, 1496, 1492, 575, 2273, 548, 316, 6157, 1131, 581, 26672, 573, 547, 4104, 718, 1373, 1793, 664, 892, 630, 6977, 279, 264, 1547, 898, 568, 513, 1259, 538, 799, 646, 13290, 547, 7753, 4250, 543, 5965, 5128, 585, 519, 13393, 609, 519, 5682, 26427, 269, 1403, 649, 1413, 693, 621, 689, 713, 5133, 2073, 519, 575, 2273, 548, 666, 849, 21843, 602, 717, 1177, 664, 6499, 547, 581, 21407, 602, 646, 2729, 269, 634, 4090, 646, 3217, 519, 575, 2273, 548, 568, 540, 1390, 2956, 2433, 2436, 646, 554, 1938, 610, 32141, 519, 575, 2273, 548, 543, 3947, 621, 547, 519, 7083, 2073, 646, 3423, 919, 2576, 779, 3972, 1547, 28788, 2284, 661, 269, 19161, 518, 2073, 538, 834, 294, 1177, 664, 781, 3493, 691, 675, 689, 519, 454, 2108, 306, 597, 717, 1177, 664, 543, 634, 5682, 26427, 892, 723, 513, 30162, 540, 4296, 543, 1894, 547, 8567, 782, 1472, 922, 1650, 269, 2368, 1806, 1223, 581, 14880, 1014, 669, 2526, 787, 609, 519, 20008, 4120, 540, 11184, 717, 1177, 664, 781, 13104, 543, 6307, 781, 3068, 538, 519, 1647, 267, 519, 6370, 1063, 11184, 717, 1177, 664, 543, 519, 5682, 26427, 799, 3576, 1747, 3330, 519, 32724, 540, 513, 5939, 267, 543, 634, 5682, 26427, 781, 3375, 4724, 717, 1177, 664, 538, 6029, 1864, 23502, 269, 1452, 1806, 1397, 1152, 1906, 4128, 1946, 968, 306, 597, 717, 1177, 664, 1656, 634, 5682, 26427, 892, 723, 4296, 543, 1894, 2509, 8567, 269, 0, 306, 6403, 331, 16129, 4643, 553, 267, 519, 1178, 4109, 543, 2144, 644, 924, 1225, 1807, 540, 519, 6014, 7467, 538, 717, 1241, 320, 267, 8050, 267, 3370, 513, 27412, 602, 24259, 1769, 593, 519, 1272, 543, 12556, 540, 513, 6014, 4807, 945, 5030, 538, 476, 1691, 628, 910, 1417, 1722, 717, 1241, 320, 6993, 560, 2607, 320, 729, 4535, 538, 476, 15389, 276, 547, 3619, 580, 543, 15243, 12844, 329, 1941, 269, 4173, 22516, 267, 6424, 12844, 329, 1941, 632, 4446, 686, 267, 729, 513, 4583, 10196, 543, 5480, 31485, 689, 3131, 335, 793, 534, 945, 9310, 6480, 615, 2961, 822, 7534, 267, 519, 8250, 540, 606, 16918, 6014, 1920, 538, 717, 1241, 320, 9950, 560, 615, 779, 7365, 693, 519, 2085, 540, 476, 1626, 729, 711, 3811, 267, 27229, 1317, 1200, 9393, 729, 606, 18473, 812, 945, 26884, 1200, 269, 4173, 1920, 11324, 4240, 1200, 543, 1200, 1762, 5067, 267, 15243, 267, 7175, 519, 1079, 540, 873, 547, 2132, 543, 2661, 609, 1200, 1920, 538, 717, 1241, 320, 269, 5629, 6738, 267, 15243, 6170, 942, 609, 1010, 4651, 267, 6424, 267, 945, 729, 2713, 538, 3131, 335, 793, 534, 282, 713, 13087, 1864, 547, 1353, 17651, 7258, 1864, 269, 1261, 6170, 942, 538, 30209, 855, 5555, 8120, 547, 717, 1241, 320, 547, 3136, 4974, 519, 6801, 269, 1703, 646, 5206, 4121, 2835, 267, 835, 540, 799, 2968, 513, 5929, 960, 538, 10120, 17651, 282, 646, 729, 6964, 676, 3751, 28828, 267, 607, 729, 1010, 4651, 269, 15243, 267, 543, 646, 9310, 513, 2199, 6014, 4807, 3957, 3619, 580, 267, 945, 20705, 547, 513, 15197, 1920, 609, 3959, 1519, 8075, 543, 729, 3238, 538, 4123, 543, 2724, 2000, 2056, 11482, 8077, 568, 1634, 827, 519, 6689, 540, 741, 8250, 8330, 2607, 320, 269, 634, 476, 1704, 4458, 6040, 30823, 523, 12311, 606, 4587, 812, 3957, 4236, 576, 325, 24415, 322, 6759, 269, 634, 19081, 729, 513, 11097, 1077, 945, 1185, 1044, 9310, 547, 513, 4807, 689, 519, 900, 5799, 1920, 540, 681, 1662, 9346, 630, 22069, 14137, 1649, 14062, 16481, 333, 1520, 4958, 264, 540, 30209, 269, 1261, 6039, 607, 23122, 540, 519, 2146, 543, 1185, 4308, 902, 609, 519, 15596, 269, 901, 6474, 729, 2808, 547, 581, 540, 519, 5207, 1931, 282, 8330, 2607, 320, 9887, 3177, 606, 11141, 9419, 787, 540, 930, 476, 1321, 267, 1911, 4396, 657, 630, 15290, 513, 9985, 11807, 9419, 787, 24132, 689, 476, 276, 267, 1822, 547, 476, 279, 267, 1822, 4396, 657, 1040, 1284, 917, 827, 713, 2040, 267, 711, 1317, 741, 11337, 18866, 15068, 267, 855, 1317, 4236, 576, 325, 19528, 621, 538, 1010, 476, 16928, 273, 786, 267, 538, 799, 646, 9138, 972, 602, 952, 646, 1705, 711, 7639, 519, 4576, 689, 799, 646, 729, 7092, 267, 8330, 2607, 320, 729, 547, 4309, 1200, 9419, 787, 538, 2407, 269, 2755, 713, 1131, 723, 1044, 513, 3044, 2783, 585, 513, 6014, 30612, 267, 713, 7008, 729, 1100, 3476, 6014, 538, 476, 16928, 273, 269, 1358, 1185 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29370, 12099, 267, 20206, 6819, 519, 1480, 31007, 547, 4782, 21407, 12374, 936, 7334, 16548, 267, 1256, 950, 519, 8545, 949, 2709, 513, 2362, 4397, 1871, 269, 901, 13283, 1419, 19674, 689, 519, 4250, 540, 1761, 9271, 269, 11671, 27023, 881, 2090, 723, 2404, 1981, 513, 11437, 609, 15398, 2534, 538, 519, 993, 17789, 323, 8403, 267, 896, 23164, 519, 2178, 4276, 1063, 3929, 4393, 543, 1981, 4879, 563, 28403, 1944, 835, 781, 1981, 513, 11437, 568, 513, 11358, 5813, 585, 6006, 18318, 269, 2368, 9520, 949, 10709, 2509, 1373, 811, 1981, 8584, 2091, 267, 1178, 10903, 908, 2509, 15061, 267, 1970, 3917, 1752, 9541, 269, 11524, 949, 10709, 519, 6587, 1259, 267, 23362, 5275, 1164, 3146, 1189, 3255, 267, 4352, 713, 2619, 949, 849, 1291, 547, 2799, 25359, 538, 741, 2823, 31987, 269, 717, 8724, 606, 1620, 540, 835, 781, 1981, 9043, 543, 519, 4664, 12018, 621, 568, 513, 2629, 1900, 4724, 13167, 606, 2500, 5092, 4640, 563, 299, 1601, 589, 11437, 543, 519, 13329, 2939, 540, 13574, 11429, 454, 299, 1601, 513, 11437, 267, 5702, 5532, 547, 519, 1439, 578, 618, 1198, 267, 568, 1776, 2565, 2460, 540, 29370, 12099, 269, 13809, 513, 11437, 4016, 547, 519, 5626, 31007, 547, 1745, 9271, 811, 8650, 569, 982, 12374, 540, 606, 6697, 9588, 269, 634, 1439, 578, 618, 1198, 267, 593, 519, 824, 1688, 267, 1915, 3278, 519, 4412, 3748, 540, 2043, 547, 936, 7407, 22590, 789, 1378, 267, 1419, 4611, 538, 873, 804, 15781, 547, 9541, 1256, 950, 513, 7787, 6268, 5267, 621, 781, 942, 547, 851, 2081, 563, 13828, 2530, 513, 11437, 543, 519, 1439, 578, 618, 1198, 616, 12082, 538, 519, 3929, 4393, 7740, 540, 519, 2634, 269, 11671, 27023, 881, 1382, 814, 7152, 602, 519, 2634, 23465, 811, 7920, 569, 547, 519, 19175, 540, 9561, 1945, 982, 547, 2744, 606, 6697, 6221, 269, 901, 31007, 666, 1291, 547, 1447, 31032, 268, 9953, 2711, 5092, 3664, 267, 607, 9520, 1522, 1332, 22350, 7923, 547, 896, 704, 14127, 7221, 543, 19292, 547, 2759, 741, 9271, 563, 3412, 4124, 585, 7767, 832, 454, 8139, 875, 4664, 3337, 5092, 3664, 267, 607, 11552, 691, 1117, 676, 29370, 12099, 1382, 267, 11438, 1896, 6286, 585, 9520, 14971, 547, 3986, 741, 2883, 2773, 912, 268, 3204, 6819, 30248, 281, 9861, 26256, 714, 656, 540, 3929, 6114, 547, 2344, 15088, 568, 519, 1101, 1900, 4724, 19086, 741, 3310, 593, 3375, 6194, 269, 7767, 832, 666, 25666, 2994, 547, 4383, 741, 4664, 267, 971, 607, 9591, 30966, 14827, 2798, 610, 12561, 513, 9836, 1935, 547, 9467, 563, 268, 30487, 11485, 281, 20876, 835, 781, 1981, 513, 11437, 9043, 543, 519, 8849, 6127, 3297, 621, 666, 3391, 519, 5542, 540, 5092, 2994, 602, 5447, 609, 1367, 1981, 10892, 563, 268, 570, 871, 1782, 15465, 4437, 1162, 281, 17607, 540, 5042, 12886, 267, 899, 2530, 513, 11437, 543, 519, 1439, 578, 618, 1198, 267, 666, 4217, 9520, 538, 1818, 811, 6662, 3664, 269, 11150, 547, 4831, 891, 12886, 7854, 29159, 267, 4259, 2530, 29676, 267, 543, 14237, 1033, 16670, 689, 9541, 563, 268, 4065, 543, 9751, 281, 1306, 519, 2361, 540, 29370, 12099, 5170, 547, 11457, 267, 621, 6799, 3255, 585, 9520, 547, 13599, 2933, 827, 519, 5767, 4681, 543, 2553, 585, 7393, 3375, 6194, 269, 901, 1702, 666, 581, 17170, 585, 17975, 5092, 2994, 563, 32507, 325, 12099, 6763, 607, 513, 9159, 6389, 602, 13123, 519, 26441, 540, 23798, 543, 8804, 267, 3246, 4030, 883, 519, 6946, 16799, 1063, 4664, 543, 7787, 640, 538, 5092, 5079, 269, 30248, 616, 606, 17271, 851, 540, 519, 1480, 1995, 267, 543, 789, 17216, 3310, 875, 649, 1935, 2883, 3664, 267, 1519, 1346, 538, 519, 1158, 540, 6006, 9467, 563, 3528, 18167, 883, 519, 8849, 3157, 30343, 3375, 6194, 267, 5778, 325, 12099, 3091, 3407, 4030, 602, 7668, 9520, 547, 1831, 811, 1140, 25293, 547, 741, 3929, 6114, 267, 1118, 811, 5483, 1981, 10526, 267, 543, 25559, 5042, 12886, 269, 2755, 1454, 3788, 547, 581, 20114, 538, 713, 6932, 2361, 267, 922, 1761, 547, 3986, 5092, 2773, 568, 26837, 4192, 267, 17021, 621, 606, 1858, 540, 1390, 1719, 543, 9153, 538, 519, 2883, 5251, 563, 5804, 23951, 560, 656, 514, 15887, 514, 540, 7767, 334, 305, 684, 1676, 19534, 269, 0, 763, 3406, 585, 7326, 998, 6138, 814, 21490, 519, 1259, 585, 9118, 5717, 602, 723, 16768, 519, 1449, 540, 942, 543, 3136, 547, 3310, 875, 649, 13498, 519, 1158, 269, 1452, 10952, 2055, 2611, 543, 616, 1869, 1898, 538, 938, 2413, 1158, 267, 8151, 689, 1346, 7282, 1480, 2470, 547, 1346, 7282, 519, 6228, 540, 2696, 543, 519, 5837, 4539, 540, 938, 23339, 269, 901, 5816, 786, 4983, 519, 15851, 2470, 540, 2947, 1134, 8153, 10952, 7440, 543, 875, 789, 1869, 3180, 538, 519, 1459, 563, 26903, 5288, 269, 715, 4669, 675, 454, 20755, 6804, 7726, 281, 3657, 2043, 5097, 8032, 676, 741, 7915, 7907, 267, 2833, 267, 610, 1604, 888, 26903, 5288, 269, 20741, 568, 513, 1279, 29280, 10952, 543, 3621, 7521, 602, 11394, 547, 1174, 519, 3119, 2188, 602, 3337, 606, 1367, 781, 1646, 269, 11096, 14279, 723, 6035, 1585, 5380, 593, 713, 3390, 267, 930, 10771, 519, 2956, 540, 7915, 7907, 630, 333, 1155, 1070, 1247, 1866, 8044, 602, 2833, 543, 519, 1604, 723, 513, 811, 1713, 3310, 630, 333, 4669, 675, 1916, 30262, 21077, 15806, 899, 3627, 28676, 543, 14639, 11219, 659, 13196, 681, 28907, 879, 4371, 15852, 16752, 593, 519, 2470, 5991, 4669, 675, 7521, 269, 28676, 5156, 602, 1004, 616, 4535, 609, 834, 29734, 1793, 919, 2437, 31552, 602, 741, 2833, 543, 1604, 3337, 741, 1915, 543, 1646, 269, 681, 28907, 879, 267, 593, 519, 824, 1688, 267, 6069, 519, 1523, 540, 519, 834, 333, 984, 548, 5260, 720, 2437, 19101, 602, 1004, 616, 20244, 1434, 543, 602, 2486, 18348, 338, 873, 269, 901, 10952, 27524, 30315, 9356, 519, 1279, 29280, 8082, 538, 1480, 1646, 1063, 519, 3310, 540, 17916, 7907, 543, 5007, 2188, 269, 25790, 538, 11976, 543, 23798, 538, 519, 8938, 23867, 2540, 4547, 1394, 713, 7521, 269, 1280, 1383, 267, 4974, 9838, 21054, 6659, 538, 1114, 5054, 2636, 721, 547, 1732, 1174, 519, 5107, 540, 6090, 543, 1604, 538, 5935, 1367, 7592, 269, 901, 7521, 568, 2565, 585, 26762, 4987, 267, 2790, 1072, 267, 543, 7803, 2623, 563, 763, 1353, 540, 4987, 568, 606, 3879, 13577, 1383, 540, 519, 2470, 5991, 4669, 675, 7521, 269, 4340, 547, 18793, 540, 519, 2470, 5133, 267, 4987, 568, 5097, 5462, 676, 4719, 2188, 267, 609, 5042, 5759, 1373, 15110, 269, 11531, 267, 18793, 540, 519, 20741, 5133, 8044, 602, 2825, 2188, 971, 607, 2069, 543, 909, 32523, 1404, 606, 1271, 1909, 538, 7214, 1646, 269, 634, 5872, 540, 11976, 543, 1604, 538, 8159, 4987, 3788, 513, 1950, 543, 6422, 2361, 267, 20206, 6819, 519, 5571, 7521, 1369, 519, 2470, 5991, 4669, 675, 7521, 563, 10403, 4024, 5288, 269, 10318, 24452, 281, 19484, 932, 7860, 538, 519, 7073, 6520, 454, 20755, 6804, 7726, 281, 1684, 3425, 4865, 1863, 786, 267, 3850, 873, 547, 1118, 5079, 10446, 267, 610, 798, 2188, 3564, 938, 1852, 2392, 9057, 710, 3388, 888, 763, 2085, 6040, 10952, 7521, 1063, 1863, 786, 543, 15002, 1143, 9607, 519, 4909, 3390, 540, 1480, 8116, 543, 519, 6708, 547, 799, 2043, 723, 519, 13190, 547, 1118, 4830, 5079, 269, 11096, 14279, 2429, 1686, 723, 23503, 2436, 938, 3527, 616, 1863, 610, 8806, 519, 1267, 540, 24441, 2188, 269, 2368, 8044, 602, 1863, 786, 568, 606, 7915, 2460, 540, 1480, 2470, 267, 1247, 1866, 2161, 602, 15002, 1143, 5546, 938, 3664, 267, 6766, 676, 2188, 971, 607, 11976, 267, 1604, 267, 543, 6848, 7506, 269, 25587, 15806, 971, 607, 1955, 28609, 23006, 15469, 519, 1523, 540, 1863, 786, 267, 19101, 602, 2043, 616, 5827, 540, 14628, 5837, 7744, 269, 23006, 11225, 5837, 5539, 607, 519, 2702, 547, 1118, 5079, 5812, 609, 513, 2631, 540, 10279, 267, 7488, 540, 5007, 7506, 269, 2201, 519, 824, 1688, 267, 15002, 1235, 971, 607, 4446, 1276, 1975, 3626, 5633, 543, 14880, 5576, 13449, 327, 21516, 11130, 602, 1169, 2680, 267, 1519, 1480, 3527, 267, 568, 5462, 676, 1991, 3123, 269, 1358, 6069, 602, 15002, 2065, 4229, 971, 607, 11976, 267, 909, 32523, 267, 543, 6848, 4229, 3337, 938, 5079, 538, 2081, 602, 616, 3564, 938, 6857, 1852, 563, 290, 17964, 5126, 2488, 606, 5140, 1383, 540, 519, 7521, 1063, 1863, 786, 543, 15002, 1143, 269, 589, 4909, 2243, 538, 3656, 543, 5683, 7744, 568, 2436, 610, 711, 1004, 616, 18177, 585, 741, 3527, 269, 11330, 7859, 540, 1863, 786, 11168, 2123, 5539, 543, 8044, 602, 20737, 723, 513, 5837, 17185, 547, 693, 821, 585, 741, 3527, 269, 2201, 519, 824, 1688, 267, 15002, 1235, 1522, 1489, 513, 811, 29260, 4640, 267, 19163, 602, 3544, 4632, 971, 607, 909, 32523, 543, 14227, 4567, 723, 513, 8101, 1764, 593, 7803, 2623, 269, 7073, 5717, 540, 13919, 267, 7881, 267, 543, 3656, 1949, 3136, 547, 1459, 2591, 538, 10188, 519, 6286, 540, 713, 10952, 27524, 30315, 563, 763, 9046, 540, 5345, 559, 281, 23942, 1401, 14571, 543, 5274, 22206, 1359, 454, 20755, 6804, 7726, 281, 1215, 666, 519, 6228, 540, 9409, 543, 7092, 538, 519, 1158, 581, 11028, 4290, 539, 609, 519, 6228, 540, 606, 782, 268, 3104, 532, 267, 15962, 2696, 888, 763, 8628, 10952, 598, 1495, 5300, 5219, 547, 607, 519, 9046, 540, 5345, 559, 9607, 519, 3100, 532, 24081, 1890, 1063, 519, 6228, 540, 606, 782, 27703, 995, 267, 1434, 2696, 543, 519, 1249, 602, 9409, 543, 7092, 616, 1455, 538, 519, 1158, 269, 634, 7907, 540, 513, 15962, 543, 782, 27703, 995, 5601, 609, 519, 7805, 7092, 543, 21440, 538, 519, 1480, 1995, 723, 1044, 519, 1641, 540, 538, 3829, 5717, 1063, 31188, 2103, 543, 15806, 563, 20606, 710, 540, 26194, 334, 3177, 835, 8106, 3210, 547, 519, 9046, 540, 5345, 559, 269, 27596, 6069, 602, 9409, 568, 513, 22975, 610, 9000, 540, 3280, 2864, 982, 513, 2318, 3196, 269, 4340, 547, 1010, 24396, 21169, 267, 2696, 2813, 513, 1158, 602, 729, 7620, 3501, 267, 543, 9409, 7153, 607, 513, 1267, 540, 3425, 705, 6748, 741, 1863, 786, 269, 901, 519, 617, 5390, 11363, 519, 2956, 540, 1480, 3903, 538, 519, 6228, 540, 9409, 267, 19163, 602, 2696, 2636, 585, 5837, 4636, 4777, 532, 676, 2870, 513, 1158, 609, 1863, 2914, 2683, 7919, 269, 2201, 519, 824, 1688, 267, 519, 14544, 543, 31188, 1014, 717, 2714, 325, 3072, 30247, 2274, 30519, 714, 5189, 519, 2856, 540, 519, 834, 12895, 540, 782, 2009, 10600, 1701, 2274, 30519, 714, 6069, 602, 519, 1158, 568, 519, 1655, 2009, 1267, 1369, 519, 23451, 540, 10143, 19870, 267, 1256, 538, 519, 3068, 540, 9409, 543, 7092, 269, 1261, 9738, 602, 2094, 2696, 568, 782, 27703, 995, 543, 1434, 267, 1261, 1131, 3442, 547, 1711, 513, 1158, 602, 568, 607, 1434, 607, 2009, 267, 1256, 952, 602, 1797, 28498, 930, 859, 2812, 547, 2291, 269, 4340, 547, 713, 519, 617, 5390, 267, 649, 3112, 4628, 10146, 519, 3677, 10143, 1544, 602, 2636, 1434, 543, 9409, 547, 30598, 1317, 540, 938, 3908, 1620, 563, 763, 1670, 4030, 883, 519, 9046, 540, 5345, 559, 3136, 547, 3310, 3909, 4978, 543, 10952, 9840, 267, 3246, 513, 2039, 540, 16752, 593, 519, 1950, 16799, 1063, 519, 10143, 543, 1480, 7092, 563, 763, 9650, 5174, 1328, 9046, 281, 3117, 4109, 1145, 543, 8447, 640, 454, 20755, 6804, 7726, 281, 1548, 568, 519, 2470, 540, 519, 2247, 267, 543, 875, 1281, 621, 9305, 547, 519, 1560, 543, 519, 1570, 1158, 888, 3080, 540, 6138, 781, 1279, 29280, 13655, 267, 519, 9650, 5174, 1328, 9046, 267, 7710, 519, 2470, 540, 9637, 543, 519, 1950, 4276, 1063, 519, 2247, 543, 1560, 269, 901, 2243, 27180, 2436, 519, 1560, 543, 2247, 616, 5094, 9988, 610, 952, 930, 954, 28947, 1063, 873, 1219, 625, 938, 2631, 540, 20932, 3823, 519, 2168, 1158, 269, 11096, 14279, 723, 2322, 8521, 1896, 6436, 547, 2491, 713, 1950, 2078, 543, 4194, 519, 9814, 540, 9637, 936, 519, 1296, 269, 11412, 2946, 29439, 26075, 267, 945, 5189, 519, 1523, 540, 12242, 1143, 267, 2488, 606, 1898, 5133, 593, 519, 9650, 5174, 1328, 9046, 269, 29439, 26075, 5156, 602, 519, 2247, 543, 1560, 941, 21739, 1114, 6878, 267, 609, 519, 2247, 1373, 1875, 14428, 9713, 543, 519, 1560, 7357, 1570, 269, 1261, 2219, 602, 519, 12566, 531, 14189, 25358, 519, 5872, 540, 2790, 543, 2168, 2833 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 5698, 609, 1079, 824, 3084, 20682, 267, 513, 2319, 540, 18039, 20506, 3467, 2817, 12524, 630, 17247, 301, 299, 264, 4966, 814, 15748, 513, 1788, 547, 8495, 519, 23812, 540, 1804, 8397, 7250, 4859, 538, 27230, 21272, 563, 763, 4972, 540, 6052, 779, 8433, 540, 26187, 559, 6052, 543, 12539, 5004, 630, 293, 4488, 300, 264, 786, 8366, 909, 547, 1269, 277, 269, 4037, 2929, 538, 14828, 547, 3173, 693, 26993, 301, 299, 267, 519, 7414, 19566, 2817, 12524, 630, 303, 13585, 299, 1070, 543, 519, 2817, 6052, 5303, 12524, 630, 25892, 299, 264, 1282, 519, 1985, 1614, 1296, 563, 22154, 568, 606, 3078, 1788, 585, 721, 1317, 621, 9607, 513, 12905, 543, 2565, 5057, 540, 513, 1970, 28003, 1648, 2104, 2223, 1767, 26993, 301, 299, 13111, 11653, 543, 9030, 31375, 26056, 6519, 563, 2108, 4263, 519, 1482, 942, 267, 519, 2838, 6791, 13976, 593, 26993, 301, 299, 779, 5756, 540, 1995, 2324, 538, 519, 7449, 16577, 593, 1644, 4066, 971, 607, 27230, 3327, 4859, 267, 2067, 3154, 4859, 543, 24232, 1648, 3034, 288, 2629, 5057, 540, 519, 11036, 267, 29805, 519, 15562, 3008, 14011, 5741, 630, 15152, 3033, 25756, 10495, 267, 19554, 267, 543, 5303, 24665, 566, 1070, 568, 513, 1353, 540, 519, 3106, 543, 4398, 540, 13936, 20762, 7250, 543, 2067, 3154, 538, 7449, 16577, 23854, 563, 22134, 4088, 568, 9591, 3294, 607, 513, 1970, 28003, 4492, 3903, 585, 6283, 267, 5201, 5108, 267, 5663, 267, 543, 2973, 1648, 4066, 267, 23960, 519, 2136, 2276, 685, 5912, 547, 513, 1970, 28003, 4346, 563, 288, 1713, 7411, 267, 2705, 267, 568, 4180, 519, 2922, 543, 2500, 4859, 540, 7250, 269, 14066, 8397, 7250, 4859, 786, 581, 2556, 607, 519, 2197, 21810, 547, 513, 2973, 1648, 4346, 602, 568, 12303, 3327, 268, 543, 12998, 6954, 269, 12358, 652, 1227, 267, 2705, 267, 1152, 6070, 26434, 25481, 610, 1309, 591, 985, 723, 1044, 3254, 547, 581, 2922, 543, 2500, 585, 1804, 31891, 1016, 614, 10328, 7250, 4859, 563, 4407, 711, 782, 4525, 723, 519, 17027, 2175, 2556, 585, 6070, 13570, 4859, 267, 674, 4488, 300, 568, 4974, 4859, 3681, 538, 891, 2127, 267, 1519, 24338, 5420, 28330, 547, 11895, 2067, 3154, 4859, 23854, 563, 763, 5063, 9307, 1382, 786, 2708, 519, 6639, 23250, 540, 13936, 7250, 538, 7449, 16577, 1949, 543, 5173, 519, 10512, 4220, 2404, 609, 971, 4859, 563, 12234, 267, 621, 786, 1020, 2029, 543, 2409, 547, 11574, 1346, 4220, 269, 30027, 3585, 267, 519, 1382, 4674, 786, 2482, 519, 2930, 24536, 585, 9001, 519, 3648, 3677, 4859, 19206, 2139, 538, 24338, 2923, 4859, 267, 607, 1134, 607, 519, 7872, 547, 1065, 17123, 4540, 2067, 3154, 4859, 5989, 585, 519, 7250, 4346, 563, 7661, 267, 519, 1788, 949, 3565, 547, 519, 10231, 543, 7269, 540, 7250, 946, 676, 9001, 4540, 5989, 630, 324, 3052, 1421, 4540, 2067, 3154, 4859, 23854, 264, 693, 4859, 6753, 1472, 519, 2136, 2276, 563, 2005, 786, 2232, 1271, 6639, 2591, 282, 22738, 1382, 547, 3715, 519, 23250, 540, 6932, 4066, 282, 543, 1020, 2645, 543, 4066, 547, 4217, 2872, 538, 14027, 7449, 16577, 7250, 4859, 563, 16449, 519, 2565, 2055, 602, 5640, 786, 2232, 616, 519, 1739, 912, 268, 1215, 666, 519, 2930, 543, 10512, 10898, 2404, 609, 7449, 16577, 7250, 4859, 581, 7307, 547, 2327, 1480, 543, 2825, 3106, 1282, 4238, 888, 268, 1215, 949, 6932, 4066, 630, 324, 3052, 1421, 8596, 267, 13111, 1138, 22399, 267, 543, 9584, 2645, 264, 581, 11573, 3042, 547, 1683, 513, 5100, 267, 2922, 267, 543, 3608, 7250, 7449, 16577, 4859, 1062, 888, 268, 1548, 2930, 267, 10512, 267, 543, 2804, 4030, 616, 2838, 547, 5512, 1804, 8397, 1016, 614, 10328, 7250, 4859, 610, 7250, 5991, 1823, 3154, 30012, 593, 513, 2462, 4336, 888, 293, 1752, 6901, 543, 2780, 3631, 786, 581, 1031, 547, 8495, 519, 2360, 540, 6986, 7250, 543, 20762, 7250, 593, 1016, 614, 10328, 4859, 1949, 269, 634, 1382, 786, 1445, 593, 12570, 1570, 17356, 267, 10747, 15451, 4205, 693, 519, 4295, 543, 13111, 10253, 267, 543, 14236, 4295, 268, 543, 13111, 8397, 2773, 269, 0, 8505, 334, 21020, 476, 273, 291, 630, 6406, 12467, 288, 7473, 8016, 4696, 476, 273, 291, 3301, 666, 581, 454, 4310, 547, 8908, 6272, 811, 3533, 543, 609, 3152, 8856, 267, 1510, 1210, 454, 22978, 15078, 543, 2930, 5373, 7405, 269, 898, 849, 2636, 3755, 547, 3561, 454, 663, 14391, 622, 12400, 609, 1257, 267, 7516, 267, 3401, 543, 7515, 269, 1411, 666, 1569, 513, 3102, 1305, 454, 1993, 11049, 267, 1374, 267, 14391, 566, 2645, 543, 960, 5488, 538, 606, 16022, 3593, 454, 8505, 334, 21020, 3323, 607, 513, 454, 9188, 793, 1907, 585, 8030, 543, 16413, 267, 855, 568, 1631, 1031, 676, 824, 454, 2889, 325, 11970, 1023, 607, 1134, 269, 4201, 3941, 330, 267, 519, 2754, 3297, 29772, 267, 814, 2919, 454, 322, 2396, 8747, 602, 666, 581, 1031, 676, 1374, 8030, 267, 3540, 8030, 2676, 19491, 3740, 543, 11418, 8030, 543, 7344, 8030, 269, 29772, 3976, 454, 1723, 951, 513, 5318, 17198, 689, 4702, 547, 4853, 5823, 267, 972, 568, 606, 29772, 454, 17569, 720, 585, 3025, 563, 1432, 786, 596, 1451, 454, 2791, 666, 1174, 519, 29772, 29683, 543, 3593, 8818, 563, 2791, 786, 1451, 875, 547, 946, 2596, 5373, 267, 11049, 267, 543, 13156, 2645, 563, 2791, 666, 10891, 5373, 3615, 593, 6106, 563, 2791, 666, 1039, 1257, 267, 554, 10248, 267, 543, 7516, 454, 268, 3143, 3105, 1702, 568, 2838, 454, 268, 476, 1428, 16497, 454, 268, 476, 6021, 281, 2764, 281, 6078, 25980, 454, 2171, 3112, 946, 713, 538, 22356, 454, 854, 3730, 585, 4195, 3540, 8030, 454, 25802, 8799, 543, 3730, 0, 10111, 2125, 267, 674, 1846, 543, 19871, 281, 2290, 11140, 547, 4341, 873, 782, 888, 291, 8123, 3173, 723, 4857, 513, 1883, 23643, 538, 519, 4155, 585, 519, 1259, 519, 6797, 9388, 609, 11950, 267, 9600, 543, 3940, 269, 1358, 2161, 621, 1223, 581, 513, 9621, 1007, 3077, 585, 28530, 519, 5774, 12515, 540, 9761, 6797, 2068, 543, 2392, 328, 3449, 563, 763, 4466, 568, 606, 856, 29115, 540, 519, 16099, 17449, 25665, 4659, 779, 968, 4958, 549, 20675, 3175, 892, 1935, 267, 538, 799, 18072, 12508, 540, 513, 1880, 2068, 616, 4857, 676, 3376, 13819, 543, 1287, 968, 339, 2586, 1394, 883, 3662, 3631, 547, 4137, 856, 1018, 602, 5365, 1797, 2223, 1767, 22361, 760, 6519, 267, 606, 13930, 7548, 540, 4915, 945, 3366, 519, 1353, 563, 1103, 713, 2013, 267, 6519, 543, 9164, 941, 13197, 513, 12440, 540, 11254, 7408, 2443, 15059, 2472, 540, 3940, 10307, 2443, 602, 8604, 547, 5365, 7378, 4187, 269, 1358, 2461, 1572, 4839, 3481, 7302, 664, 11254, 7408, 267, 610, 7460, 8150, 267, 543, 1185, 1044, 4857, 538, 476, 1220, 280, 607, 513, 7347, 15262, 540, 8377, 543, 7378, 4187, 538, 3425, 676, 16099, 3173, 3366, 676, 18332, 1715, 326, 731, 267, 519, 8689, 540, 519, 16099, 17449, 25665, 4659, 563, 763, 7681, 1063, 7460, 8150, 543, 7378, 4187, 1185, 1044, 1459, 538, 519, 3332, 6580, 1394, 547, 513, 476, 3422, 280, 1353, 602, 7902, 538, 519, 1715, 4789, 4750, 540, 6925, 269, 1656, 789, 723, 2094, 1044, 3254, 547, 581, 3810, 16762, 540, 2104, 3987, 1646, 676, 519, 19506, 13368, 532, 5069, 9839, 1353, 563, 2108, 4322, 31571, 2951, 1927, 609, 4057, 10894, 1072, 2223, 6519, 1767, 269, 968, 2467, 779, 513, 32618, 3140, 2594, 540, 713, 267, 855, 649, 1810, 1406, 917, 1018, 621, 1797, 3034, 1103, 2625, 532, 519, 1979, 17190, 540, 875, 7460, 288, 2026, 2097, 547, 581, 811, 10731, 538, 8377, 543, 7378, 9113, 2700, 267, 3173, 723, 1336, 602, 1114, 1418, 1949, 6023, 741, 15059, 538, 1114, 2081, 269, 769, 519, 6797, 267, 799, 8637, 811, 3170, 543, 7472, 811, 7280, 538, 2392, 328, 3449, 267, 621, 7140, 856, 602, 519, 7636, 3334, 602, 14892, 7460, 8150, 15059, 616, 5828, 1055, 676, 513, 2582, 9431, 6467, 563, 10521, 6675, 267, 513, 32635, 543, 513, 8485, 520, 848, 267, 960, 538, 11685, 547, 16212, 713, 9431, 6467, 602, 8060, 519, 2736, 1524, 540, 7460, 8150, 269, 634, 3666, 540, 891, 6675, 11887, 2436, 7460, 288, 2026, 616, 7745, 1524, 610, 18645, 563, 2108, 11039, 267, 1018, 952, 649, 2490, 621, 1394, 593, 9495, 6519, 4280, 269, 968, 2171, 666, 1491, 2476, 519, 7409, 7480, 5365, 267, 519, 32635, 267, 610, 1039, 811, 540, 519, 1437, 908, 5365, 267, 519, 8485, 520, 848, 1848, 901, 1935, 729, 29211, 676, 513, 5698, 609, 519, 1895, 540, 3220, 338, 269, 6424, 932, 340, 836, 543, 7665, 654, 2106, 333, 693, 519, 2160, 540, 7147, 3162, 13523, 6481, 4741, 267, 28543, 267, 945, 1185, 4362, 513, 3075, 602, 29620, 519, 32635, 563, 2691, 519, 3173, 7409, 1243, 519, 32635, 610, 15181, 519, 8485, 520, 848, 267, 519, 2164, 941, 3592, 9838, 269, 10738, 513, 3018, 538, 513, 3731, 2203, 540, 840, 26817, 3449, 267, 1437, 908, 7460, 8150, 15059, 4389, 3170, 18254, 538, 519, 6797, 543, 4824, 7280, 7939, 1510, 19249, 1560, 2597, 563, 22154, 1880, 3731, 2203, 630, 1492, 2098, 27462, 9761, 3731, 264, 568, 606, 3665, 2203, 540, 8377, 543, 10894, 2068, 267, 865, 952, 596, 666, 1205, 606, 6454, 538, 513, 3018, 267, 602, 779, 2731, 1713, 2223, 6519, 1767, 563, 7437, 891, 6901, 267, 519, 16099, 2319, 5532, 922, 4681, 547, 606, 11747, 602, 4249, 606, 1271, 1909, 538, 3170, 2504, 538, 519, 6797, 269, 1358, 4951, 602, 713, 11747, 267, 1572, 21085, 2275, 527, 3433, 11430, 848, 267, 25998, 609, 543, 568, 14931, 676, 519, 1482, 32635, 543, 8485, 520, 848, 602, 10038, 7460, 8150, 10307, 269, 769, 513, 3126, 540, 6901, 267, 789, 3964, 875, 543, 1141, 891, 1614, 2188, 2170, 538, 1114, 2694, 540, 6797, 2281, 563, 22998, 609, 16099, 26393, 4460, 670, 9007, 267, 519, 3173, 849, 1336, 602, 513, 1164, 1922, 28229, 2732, 630, 3697, 6704, 513, 2603, 540, 24494, 14614, 1070, 968, 16579, 525, 606, 19261, 538, 519, 2157, 540, 519, 32635, 543, 8485, 520, 848, 607, 851, 540, 513, 3677, 1982, 602, 8992, 3170, 13250, 538, 519, 6797, 2223, 6519, 1767, 269, 20943, 848, 2534, 4422, 909, 267, 8485, 520, 848, 2534, 4422, 1524, 2443, 811, 3983, 18560, 267, 1447, 1434, 18560, 2443, 3056, 547, 811, 6797, 3170, 543, 25013, 10894, 1072, 563, 22154, 2337, 547, 2491, 875, 543, 1946, 7460, 8150, 616, 2404, 609, 2935, 1229, 3170, 10307, 602, 666, 1291, 547, 1826, 476, 273, 3987, 2223, 1767, 1715, 326, 731, 267, 945, 814, 5249, 593, 7460, 8150, 538, 10894, 2068, 585, 811, 982, 513, 8717, 563, 2108, 2419, 5142, 685, 1895, 814, 1044, 513, 1483, 6205, 538, 6029, 519, 2956, 540, 713, 2223, 1767, 7917, 717, 619, 345, 1084, 11022, 267, 8689, 540, 4791, 543, 6037, 1049, 1382, 585, 519, 12590, 4937, 11233, 9839, 4741, 269, 968, 2467, 941, 23456, 827, 630, 6195, 8150, 264, 1279, 3516, 267, 855, 519, 3621, 1158, 729, 4990, 540, 6998, 2048, 6343, 779, 519, 7047, 543, 1018, 779, 519, 7504, 286, 685, 892, 1767, 717, 619, 345, 1084, 267, 945, 729, 711, 513, 851, 540, 713, 1353, 563, 29467, 779, 3395, 2963, 547, 2303, 602, 7460, 8150, 3884, 1406, 1175, 513, 12809, 15262, 540, 3987, 267, 855, 949, 2965, 1404, 513, 1909, 538, 6117, 519, 2068, 2223, 717, 619, 345, 1084, 1767, 269, 968, 2005, 3947, 721, 519, 8404, 547, 1449, 2436, 2242, 538, 519, 11254, 3679, 6981, 538, 938, 11326, 1131, 581, 4502, 3695, 3034, 4322, 4681, 616, 3908, 676, 519, 946, 540, 1152, 835, 2186, 540, 3662, 2203, 543, 519, 2110, 8653, 540, 519, 1353, 267, 855, 6519, 568, 23904, 602, 3476, 3856, 2090, 538, 824, 3662, 3631, 786, 7703, 873, 856, 563, 2108, 7212, 1454, 960, 3788, 547, 581, 2944, 972, 779, 513, 1761, 585, 713, 547, 581, 513, 1007, 3077, 585, 8156, 9761, 6797, 2068, 2223, 6519, 1767, 563, 763, 26257, 593, 281, 15310, 1399, 6797, 2068, 454, 16129, 5616, 5240, 454, 763, 26257, 593, 281, 15310, 1399, 6797, 2068, 454, 268, 1261, 531, 609, 5253, 281, 5440, 3536, 585, 513, 8902, 6797, 267, 5267, 1096, 2023, 4864, 476, 273, 267, 476, 1708, 273, 693, 476, 275, 281, 6349, 993, 454, 12441, 596, 917, 602, 596, 666, 1205, 513, 9761, 6797, 1256, 1510, 6704, 1022, 4568, 286, 2659, 6797, 15824, 476, 4335, 266, 4105, 10894, 3252, 1169, 1554, 602, 13141, 340, 563, 268, 15310, 1399, 6797, 2068, 2589, 281, 13809, 540, 3023 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 402, 371, 29645, 535, 4141, 282, 12428, 2800, 267, 3441, 267, 17939, 6756, 13913, 355, 402, 379, 29645, 2112, 267, 535, 4141, 631, 867, 339, 332, 295, 574, 269, 6184, 577, 337, 269, 476, 2568, 269, 476, 10170, 17939, 291, 523, 14790, 2190, 595, 3041, 643, 269, 476, 14690, 267, 476, 272, 269, 476, 277, 13067, 2419, 6135, 269, 476, 10219, 282, 6599, 328, 8084, 581, 20935, 267, 538, 6508, 2249, 543, 16755, 282, 28435, 6929, 476, 386, 496, 541, 5889, 745, 267, 581, 20935, 267, 476, 386, 496, 541, 745, 267, 535, 4141, 282, 12428, 2073, 28435, 6929, 476, 386, 496, 597, 761, 340, 267, 5204, 686, 659, 2073, 782, 815, 15180, 2914, 1057, 267, 865, 630, 286, 12355, 3310, 264, 13913, 355, 402, 372, 29645, 402, 372, 403, 494, 18841, 369, 495, 278, 476, 272, 15656, 476, 272, 281, 277, 282, 1294, 2523, 20698, 5719, 576, 1078, 654, 1057, 781, 590, 3563, 267, 717, 294, 301, 269, 476, 6642, 273, 267, 3143, 269, 476, 1724, 282, 815, 21007, 269, 476, 10219, 742, 269, 3220, 272, 281, 277, 5148, 2443, 454, 304, 531, 17828, 274, 680, 1116, 13913, 499, 402, 364, 403, 355, 402, 372, 402, 377, 29645, 402, 366, 29645, 25149, 32679, 10606, 476, 3451, 281, 4649, 15654, 267, 21879, 13913, 355, 402, 364, 29645, 402, 372, 29645, 25149, 32679, 403, 510, 402, 368, 21012, 25360, 332, 476, 15782, 281, 272, 282, 476, 15782, 281, 273, 282, 14087, 2739, 274, 5733, 1529, 710, 13737, 13913, 503, 402, 372, 403, 355, 402, 373, 29645, 30037, 476, 1556, 281, 1724, 282, 5606, 514, 1438, 6207, 13913, 355, 402, 372, 29645, 25149, 402, 374, 29645, 10606, 476, 1839, 281, 1704, 282, 3487, 545, 2118, 3742, 13913, 355, 402, 373, 29645, 402, 369, 29645, 476, 1015, 281, 280, 267, 12683, 21879, 13913, 355, 402, 373, 29645, 402, 366, 29645, 21012, 25360, 332, 476, 4029, 281, 1321, 1341, 267, 3092, 5919, 2443, 1352, 342, 29383, 4724, 267, 1521, 609, 679, 332, 640, 267, 1654, 343, 267, 3771, 817, 267, 609, 25197, 894, 540, 1268, 30037, 476, 1556, 281, 1724, 282, 10606, 476, 1015, 281, 280, 282, 476, 1839, 281, 1704, 282, 2899, 609, 13913, 506, 1268, 476, 1839, 281, 1240, 282, 849, 32096, 607, 6086, 633, 630, 24554, 610, 609, 21879, 264, 1654, 343, 518, 267, 3771, 817, 518, 267, 2549, 657, 476, 276, 281, 1321, 282, 30037, 476, 1556, 281, 1724, 282, 31519, 476, 2537, 281, 2420, 630, 292, 1070, 25360, 332, 476, 277, 281, 279, 282, 476, 278, 281, 276, 282, 476, 278, 281, 278, 282, 476, 279, 281, 274, 282, 476, 1015, 281, 276, 282, 476, 2537, 281, 276, 282, 476, 4029, 281, 1321, 282, 476, 5655, 281, 1556, 282, 476, 7597, 281, 736, 282, 476, 10619, 281, 275, 282, 476, 10619, 281, 2537, 282, 476, 16960, 281, 1321, 282, 6480, 615, 476, 274, 281, 1015, 282, 476, 279, 281, 272, 282, 476, 280, 281, 1015, 267, 476, 2190, 269, 2443, 2274, 10903, 16307, 476, 1240, 281, 1240, 1294, 1496, 13913, 355, 402, 372, 29645, 402, 371, 29645, 316, 2630, 4083, 269, 13913, 355, 402, 372, 29645, 402, 372, 403, 498, 267, 2630, 454, 314, 403, 355, 402, 372, 29645, 402, 371, 29645, 316, 8231, 12030, 894, 1118, 513, 15180, 2914, 1057, 282, 2443, 454, 304, 531, 5606, 514, 1438, 4020, 13913, 506, 402, 368, 403, 355, 402, 364, 29645, 402, 373, 29645, 2274, 10903, 16307, 476, 1240, 281, 1240, 547, 1118, 1496, 615, 316, 513, 15180, 2914, 1057, 630, 299, 698, 31769, 301, 267, 476, 6642, 273, 267, 476, 32076, 3220, 268, 2662, 299, 341, 13391, 523, 331, 269, 642, 1916, 7656, 269, 13913, 355, 29645, 29645, 630, 18414, 540, 1739, 282, 5635, 12428, 581, 8325, 630, 286, 12030, 894, 1070, 2073, 8325, 24737, 3022, 2182, 6149, 267, 28435, 6929, 476, 386, 496, 4669, 340, 267, 15151, 17180, 681, 297, 19604, 704, 289, 3008, 13797, 269, 476, 31973, 282, 5204, 686, 659, 4224, 267, 6149, 267, 1166, 842, 1040, 0, 2026, 531, 3873, 29246, 320, 4303, 454, 2026, 531, 3873, 29246, 320, 4303, 630, 10193, 1306, 531, 3873, 10658, 10937, 610, 20144, 12609, 4303, 264, 568, 513, 14418, 13037, 602, 16033, 919, 17700, 779, 1101, 28005, 517, 543, 519, 15713, 540, 519, 17700, 779, 2185, 15626, 18408, 1310, 1010, 21481, 269, 901, 14418, 13037, 568, 4767, 593, 519, 2407, 7599, 540, 519, 21632, 16264, 3923, 267, 799, 2356, 8813, 538, 519, 3923, 540, 5147, 269, 901, 1032, 267, 1306, 531, 3873, 29246, 320, 4303, 8813, 593, 5147, 476, 1724, 628, 267, 476, 1708, 273, 563, 30547, 540, 1306, 531, 3873, 29246, 320, 454, 2026, 531, 3873, 29246, 320, 5161, 540, 1079, 1913, 281, 1306, 531, 3873, 630, 324, 12915, 16264, 3923, 264, 543, 29246, 320, 630, 342, 11208, 1040, 4475, 267, 1306, 531, 3873, 29246, 320, 1797, 10847, 532, 593, 519, 2407, 7599, 1554, 540, 519, 21632, 16264, 3923, 610, 10847, 532, 547, 3314, 1271, 2621, 593, 519, 2407, 7599, 1554, 540, 519, 21632, 16264, 3923, 563, 763, 1101, 10752, 540, 17700, 454, 2026, 531, 3873, 29246, 320, 568, 835, 540, 519, 1034, 1271, 15976, 547, 634, 9545, 3385, 6844, 327, 1235, 1317, 621, 22842, 17700, 779, 1101, 28005, 517, 840, 3737, 547, 2947, 10841, 7497, 693, 519, 1546, 518, 5244, 540, 7203, 333, 987, 630, 309, 541, 11446, 328, 264, 2282, 5484, 4100, 2749, 267, 3127, 936, 476, 273, 267, 4335, 1296, 3516, 563, 763, 10752, 540, 17700, 779, 1101, 28005, 517, 616, 1634, 607, 519, 24747, 540, 20144, 12609, 630, 291, 327, 29108, 752, 330, 1952, 822, 3430, 3570, 27659, 3279, 1070, 9967, 540, 519, 968, 19177, 32201, 18266, 338, 892, 912, 268, 667, 4157, 330, 3873, 281, 7092, 568, 17916, 547, 6228, 454, 268, 6341, 644, 11535, 281, 5169, 540, 7092, 568, 13613, 454, 268, 715, 10098, 323, 3873, 281, 29696, 540, 7092, 2501, 689, 15603, 979, 540, 13613, 454, 268, 7395, 8615, 281, 968, 763, 32201, 20640, 19507, 11202, 892, 568, 519, 1259, 547, 519, 29696, 540, 13613, 543, 7092, 454, 4322, 10752, 616, 2808, 519, 5748, 540, 782, 14418, 6138, 563, 2026, 531, 3873, 29246, 320, 538, 17289, 454, 2026, 609, 1034, 3909, 14812, 538, 17289, 267, 1082, 774, 9820, 8661, 713, 13037, 676, 10283, 538, 513, 530, 1014, 512, 1014, 610, 513, 23156, 26569, 4931, 3711, 1637, 1184, 542, 693, 17633, 269, 4658, 786, 3802, 1614, 2053, 1472, 519, 3921, 1588, 10689, 538, 513, 29628, 6752, 593, 519, 10543, 540, 1306, 531, 3873, 29246, 320, 269, 4033, 16873, 1331, 973, 1746, 519, 5216, 840, 32383, 540, 519, 32201, 20640, 19507, 11202, 267, 3056, 1199, 14591, 267, 669, 13589, 538, 16130, 630, 1492, 1893, 540, 14418, 27403, 1070, 4758, 28005, 976, 267, 543, 4758, 620, 916, 547, 26112, 563, 763, 1554, 1310, 1306, 531, 3873, 29246, 320, 568, 4767, 607, 918, 29697, 1912, 753, 320, 267, 799, 7436, 519, 1376, 540, 519, 1614, 18881, 1912, 753, 320, 630, 528, 966, 817, 320, 264, 1974, 849, 5219, 547, 607, 14418, 30766, 269, 0, 7476, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 454, 279, 8025, 16998, 32767, 13878, 295, 674, 2562, 3201, 12327, 4456, 29898, 30316, 22432, 8745, 281, 11261, 281, 11270, 281, 5149, 476, 272, 281, 17992, 725, 267, 5556, 745, 775, 543, 5381, 640, 29898, 30316, 22432, 2422, 519, 11282, 7077, 4605, 2630, 585, 2055, 476, 1724, 269, 476, 272, 269, 14674, 519, 3126, 563, 1692, 898, 3718, 454, 1692, 547, 6445, 856, 543, 1129, 17602, 775, 2228, 888, 7476, 707, 2228, 10959, 543, 6445, 621, 538, 1210, 11636, 2934, 269, 17949, 5100, 6445, 762, 4610, 543, 2170, 2032, 269, 7427, 519, 2241, 5528, 2630, 912, 24400, 513, 17101, 4274, 267, 1818, 513, 16516, 13393, 543, 4947, 547, 519, 9036, 585, 513, 4357, 10554, 2306, 11264, 513, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 689, 4098, 547, 1439, 9688, 532, 269, 2475, 13751, 22553, 6087, 596, 547, 3533, 1711, 16155, 4570, 4574, 1759, 593, 840, 268, 24554, 539, 11422, 2861, 17074, 563, 7093, 6768, 707, 2703, 338, 538, 3764, 1210, 938, 2653, 1900, 8386, 9912, 23988, 912, 268, 5192, 519, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 596, 991, 563, 268, 7046, 621, 1210, 519, 6531, 2861, 9375, 543, 1376, 14577, 563, 268, 19130, 519, 10145, 4610, 282, 7722, 6105, 4408, 267, 4025, 540, 15335, 543, 2338, 3092, 563, 268, 11426, 1125, 519, 10959, 609, 12600, 6445, 762, 4610, 563, 268, 5410, 519, 1554, 270, 5503, 543, 1747, 707, 5907, 15040, 563, 268, 8437, 667, 821, 1739, 5595, 7721, 600, 1456, 3388, 563, 268, 16440, 519, 4712, 13402, 3561, 547, 707, 3926, 610, 1820, 621, 899, 513, 2182, 5299, 563, 18933, 3424, 569, 5352, 513, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 1510, 17596, 547, 4125, 4648, 269, 1284, 2907, 723, 811, 982, 476, 274, 2929, 3755, 1818, 519, 1034, 540, 938, 2189, 4015, 540, 3656, 6054, 269, 15012, 721, 1318, 1631, 543, 2744, 1569, 547, 519, 1283, 32562, 540, 2228, 17074, 269, 12315, 621, 513, 2119, 3054, 2336, 16987, 1466, 513, 5488, 1259, 547, 6445, 856, 543, 1129, 3029, 593, 519, 1357, 269, 7457, 519, 1034, 3573, 5399, 540, 17074, 2139, 563, 8196, 3318, 840, 32472, 17074, 547, 6445, 538, 543, 1129, 6054, 2228, 5488, 269, 5192, 1569, 547, 5215, 540, 3029, 563, 21292, 4143, 547, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 454, 4785, 299, 20235, 7208, 1571, 2872, 6122, 8172, 3354, 543, 10220, 4441, 563, 258, 272, 5769, 2389, 27434, 3354, 13021, 269, 3416, 999, 602, 513, 3896, 568, 1863, 540, 18453, 6285, 563, 10817, 5875, 4315, 602, 513, 1870, 10742, 645, 17668, 20774, 2787, 4441, 538, 519, 2475, 543, 4516, 563, 295, 580, 4554, 6075, 8039, 593, 835, 540, 519, 1034, 3810, 2389, 27434, 1587, 2689, 5867, 269, 0, 21902, 18267, 8791, 1315, 6789, 8976, 454, 313, 20810, 267, 10906, 2073, 30129, 267, 717, 2044, 2073, 25538, 1676, 267, 25303, 700, 269, 4586, 295, 1177, 2967, 328, 607, 513, 2707, 1858, 585, 7414, 9253, 545, 2100, 563, 302, 4117, 545, 10195, 723, 1044, 9763, 607, 2067, 20682, 585, 1620, 12105, 29159, 269, 9253, 545, 2100, 808, 269, 681, 269, 1299, 717, 269, 1280, 3122, 630, 305, 583, 19687, 264, 568, 513, 1804, 12593, 630, 15996, 24094, 4700, 540, 19211, 543, 4054, 609, 513, 3892, 8151, 689, 519, 5689, 698, 6470, 543, 21475, 6953, 2711, 18885, 4525, 7532, 547, 519, 22963, 11866, 543, 5045, 547, 5245, 543, 1715, 10215, 269, 769, 519, 22963, 2895, 28396, 267, 519, 12593, 814, 1185, 606, 23292, 5982, 267, 1818, 621, 835, 540, 519, 4102, 15496, 2030, 25281, 630, 4366, 24094, 4700, 538, 519, 10195, 269, 6145, 824, 22963, 2234, 9911, 630, 324, 3052, 1421, 540, 519, 3623, 951, 6919, 267, 543, 540, 519, 12593, 5576, 1221, 20660, 1070, 9253, 545, 2100, 814, 22734, 20498, 29159, 609, 2249, 8151, 689, 5420, 13355, 4054, 909, 547, 476, 1321, 544, 538, 3819, 547, 8544, 545, 7733, 267, 30832, 1782, 4054, 543, 23215, 550, 19211, 540, 8544, 545, 547, 6632, 4104, 267, 543, 1970, 21212, 19211, 540, 1164, 15038, 536, 9233, 269, 1284, 3524, 10642, 5027, 689, 835, 6046, 630, 3951, 306, 264, 543, 1614, 8392, 6955, 770, 630, 13700, 333, 299, 293, 267, 959, 333, 21180, 543, 27666, 321, 288, 2389, 337, 333, 295, 264, 4525, 689, 476, 1428, 9253, 545, 2100, 2249, 8204, 1034, 540, 519, 6810, 6069, 676, 19134, 2917, 267, 1079, 2249, 540, 519, 2322, 8271, 5829, 22963, 12593, 15107, 344, 9188, 2742, 267, 543, 519, 856, 16766, 2249, 3600, 1258, 344, 577, 807, 269, 634, 9696, 5833, 941, 9916, 896, 16163, 574, 3415, 267, 10171, 543, 28662, 2409, 269, 634, 18105, 4094, 625, 3812, 1489, 513, 22963, 9253, 545, 2100, 602, 2882, 15107, 344, 9188, 2742, 3448, 547, 856, 16766, 7414, 9253, 545, 2100, 689, 570, 1695, 16951, 267, 5245, 543, 1715, 10215, 269, 634, 2164, 849, 1489, 693, 2547, 835, 3236, 540, 22963, 9253, 545, 2100, 7674, 607, 513, 2707, 1858, 585, 17091, 4553, 676, 5982, 540, 2249, 547, 519, 3057, 13196, 553, 11866, 563, 19868, 538, 547, 1039, 713, 6221, 547, 707, 8430, 454, 272, 910, 28834, 2817, 7467, 540, 7849, 3778, 267, 15636, 1415, 267, 7467, 8081, 4741, 267, 476, 275, 2641, 271, 18234, 10830, 10003, 267, 2672, 527, 1633, 267, 11022, 267, 476, 21709, 5379, 267, 7330, 454, 273, 910, 8832, 14151, 2160, 267, 18143, 7070, 4972, 543, 7025, 21834, 543, 2637, 15299 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2068, 269, 1230, 4221, 281, 513, 8137, 3384, 1184, 602, 9054, 6758, 519, 10217, 269, 12870, 281, 513, 17867, 4524, 6353, 676, 606, 17418, 547, 13404, 267, 20026, 267, 2530, 540, 14031, 267, 606, 1117, 8205, 267, 4606, 540, 3665, 18354, 267, 16203, 267, 27303, 1145, 543, 27945, 1145, 267, 543, 4555, 540, 2669, 269, 674, 1846, 281, 5672, 1258, 19153, 799, 616, 1898, 547, 1272, 543, 1683, 513, 3730, 2707, 540, 1648, 1247, 32229, 519, 1560, 543, 922, 8219, 1996, 519, 4411, 563, 5445, 849, 1628, 543, 2226, 1560, 5160, 1247, 21528, 538, 519, 3560, 540, 3170, 30320, 8324, 2429, 519, 1560, 269, 4469, 24170, 6950, 281, 513, 23454, 540, 2890, 5991, 19153, 616, 476, 1321, 5049, 602, 14350, 2698, 936, 476, 736, 267, 1822, 269, 2290, 2030, 610, 10786, 949, 2270, 7366, 540, 32064, 6950, 269, 634, 811, 1134, 21503, 32064, 1355, 5049, 616, 7657, 2158, 267, 32064, 11169, 267, 568, 1993, 15442, 2158, 267, 844, 2075, 564, 514, 267, 16320, 30662, 573, 1231, 267, 543, 524, 622, 577, 1231, 269, 4469, 822, 517, 6950, 4061, 1118, 909, 519, 4102, 1895, 540, 4550, 268, 31038, 1218, 269, 15214, 5562, 281, 3810, 610, 23494, 3742, 563, 300, 1725, 10901, 281, 513, 1769, 267, 3623, 854, 22554, 267, 26815, 2182, 17285, 3693, 602, 538, 26781, 610, 8869, 1106, 17236, 609, 513, 13085, 3043, 18723, 269, 898, 568, 1031, 538, 7293, 23212, 267, 7510, 4710, 1013, 923, 267, 8755, 10344, 267, 543, 1651, 754, 10706, 23038, 269, 715, 22021, 281, 1022, 6219, 602, 2488, 1898, 29454, 585, 519, 5826, 540, 1272, 269, 25667, 281, 519, 2783, 540, 1373, 17324, 282, 2799, 1560, 2597, 3361, 676, 7050, 13250, 540, 3170, 269, 744, 548, 545, 18729, 281, 606, 522, 1176, 5277, 267, 595, 1704, 295, 3451, 4596, 15121, 267, 9648, 538, 3662, 543, 10448, 11041, 543, 1031, 538, 1818, 12853, 563, 21595, 2466, 545, 18729, 281, 513, 9761, 3679, 267, 595, 1428, 295, 4029, 4596, 15121, 267, 9648, 538, 1082, 2067, 11041, 543, 9600, 543, 1031, 538, 1818, 865, 2355, 269, 26263, 1803, 628, 4594, 710, 281, 513, 3114, 602, 11250, 909, 519, 2095, 540, 1344, 1063, 8229, 2281, 269, 3848, 5565, 2443, 5623, 540, 13565, 9085, 543, 3194, 5623, 540, 13565, 9085, 543, 3194, 6736, 519, 1249, 602, 10217, 814, 20335, 513, 3983, 22850, 936, 519, 1296, 267, 1082, 2090, 1397, 602, 267, 538, 1082, 2081, 267, 621, 568, 513, 2635, 1426, 269, 3487, 21871, 936, 519, 2250, 8717, 267, 3744, 267, 20485, 267, 6484, 1235, 543, 3173, 723, 6192, 3785, 602, 1397, 602, 10217, 666, 581, 1434, 585, 1004, 563, 22137, 593, 10217, 616, 9867, 543, 1142, 835, 3947, 513, 1114, 2601, 585, 519, 8560, 540, 519, 1426, 269, 2290, 3932, 568, 602, 713, 1426, 6585, 2640, 585, 3425, 538, 1896, 1114, 2081, 269, 2657, 8797, 10217, 814, 3334, 602, 948, 4339, 2295, 2068, 269, 898, 849, 814, 519, 2702, 547, 1118, 1004, 18668, 543, 3947, 513, 5818, 540, 1648, 269, 2353, 540, 519, 2090, 6961, 602, 10217, 568, 7429, 1022, 824, 6653, 269, 634, 4128, 585, 891, 3604, 616, 711, 2943, 4625, 6956, 269, 1717, 1142, 1353, 568, 5363, 538, 1620, 519, 2257, 540, 10217, 563, 9213, 267, 519, 2640, 540, 4189, 10217, 29387, 1022, 2942, 2360, 540, 519, 1426, 267, 855, 972, 616, 1869, 865, 1082, 12457, 2127, 4478, 519, 1382, 269, 589, 2319, 540, 3744, 814, 16355, 1386, 519, 3069, 602, 952, 1945, 16919, 1434, 267, 621, 1590, 581, 3983, 269, 634, 1433, 267, 28688, 543, 23081, 10394, 281, 589, 5623, 540, 2657, 543, 12594, 267, 799, 729, 20827, 676, 519, 4139, 23081, 10394, 9257, 630, 2975, 4596, 264, 543, 3812, 538, 9316, 609, 519, 4139, 23081, 10394, 3194, 7690, 630, 2975, 3918, 293, 1070, 519, 3872, 5748, 540, 519, 1977, 23081, 10394, 3194, 4659, 630, 3722, 6020, 1070, 11828, 519, 5767, 1382, 593, 519, 1761, 2640, 540, 10217, 543, 23342, 269, 2802, 617, 1108, 1703, 616, 1896, 2188, 602, 941, 3144, 883, 7156, 950, 8888, 519, 12191, 585, 519, 1353, 269, 898, 568, 1271, 547, 2232, 519, 1686, 540, 10217, 267, 519, 1818, 540, 10217, 267, 519, 2318, 543, 2942, 2360, 540, 10217, 267, 945, 14560, 10217, 543, 1946, 267, 543, 519, 2470, 540, 2090, 593, 10217, 269, 1635, 6313, 891, 1919, 267, 519, 5168, 827, 10217, 4652, 9529, 269, 3848, 9050, 2443, 11778, 543, 28454, 11778, 543, 28454, 28688, 814, 1044, 26916, 585, 922, 9422, 543, 5626, 2418, 585, 5553, 563, 13328, 2782, 4083, 7980, 3576, 5413, 540, 922, 1164, 9422, 1543, 543, 15808, 6617, 267, 1247, 9845, 543, 20691, 946, 621, 585, 922, 1164, 3170, 543, 19346, 9115, 267, 799, 616, 1634, 547, 5818, 1648, 2157, 269, 589, 476, 1428, 12063, 3046, 540, 5144, 10217, 2488, 476, 280, 260, 540, 519, 30318, 11545, 14190, 766, 630, 305, 6395, 264, 585, 7513, 267, 476, 274, 260, 585, 4401, 267, 476, 277, 260, 585, 3940, 267, 476, 280, 260, 585, 10775, 1993, 15442, 514, 267, 476, 272, 269, 476, 280, 260, 585, 555, 328, 3133, 543, 476, 273, 269, 476, 275, 260, 585, 6171, 589, 269, 28688, 568, 849, 3226, 3638, 538, 13101, 267, 543, 814, 513, 1164, 17811, 1543, 1813, 547, 922, 9645, 9115, 540, 3170, 543, 4006, 563, 20776, 557, 903, 543, 5359, 2161, 602, 26351, 585, 10217, 723, 1044, 4767, 538, 5111, 476, 2412, 2600, 540, 2021, 543, 476, 1428, 2600, 540, 2367, 269, 3509, 8951, 1867, 602, 741, 26351, 2049, 6140, 1282, 519, 1376, 540, 28689, 269, 16952, 5359, 1397, 602, 10217, 568, 1031, 607, 513, 1582, 2173, 539, 1709, 585, 4965, 25102, 27689, 267, 799, 6920, 513, 12214, 4493, 585, 26351, 6766, 676, 9449, 2157, 543, 7099, 269, 2859, 982, 3368, 540, 10217, 6159, 951, 2161, 602, 972, 568, 1100, 12990, 585, 741, 6159, 1324, 585, 10217, 543, 2021, 609, 623, 5960, 3409, 602, 789, 2333, 4616, 540, 10217, 1282, 713, 942, 563, 1607, 2982, 602, 972, 616, 19346, 543, 6915, 5562, 8069, 538, 10217, 269, 13804, 10901, 814, 849, 1044, 3254, 547, 3565, 547, 10217, 26351, 2094, 26351, 585, 10217, 723, 1044, 4389, 676, 13101, 9360, 269, 769, 1840, 547, 519, 1082, 9422, 2640, 540, 10217, 267, 519, 3170, 543, 19346, 5820, 540, 10217, 1039, 547, 922, 29284, 543, 9403, 269, 1452, 10444, 3601, 1683, 6800, 540, 10217, 2472, 609, 4313, 532, 7907, 269, 898, 568, 7805, 602, 519, 1164, 3170, 1543, 540, 10217, 2488, 1648, 543, 25685, 4606, 267, 1247, 519, 1164, 4006, 1543, 10607, 1648, 543, 4606, 540, 8788, 563, 11847, 2176, 540, 2799, 2634, 2119, 696, 2684, 534, 2157, 543, 22515, 10282, 609, 19346, 4616, 949, 2272, 585, 8476, 4606, 540, 1134, 1373, 267, 607, 1134, 269, 28688, 568, 3908, 538, 922, 946, 607, 513, 6198, 1426, 1813, 547, 922, 1164, 4006, 543, 3170, 9115, 282, 2705, 267, 23342, 3568, 519, 6198, 23466, 540, 10217, 609, 1100, 4006, 543, 1360, 2370, 3170, 269, 4595, 23342, 568, 2907, 1031, 607, 513, 2681, 656, 543, 7657, 28666, 267, 621, 568, 2907, 13931, 585, 946, 607, 513, 1426, 19605, 543, 1281, 711, 2154, 7199, 1426, 3106, 8062, 267, 7429, 824, 1761, 6198, 5820, 563, 290, 665, 10394, 568, 4867, 896, 7634, 585, 1761, 6198, 3601, 607, 606, 15934, 267, 1247, 538, 519, 3810, 2919, 5545, 6198, 1426, 2344, 267, 10217, 2472, 616, 2907, 1373, 30630, 585, 741, 9831, 894, 3601, 269, 898, 568, 2009, 602, 267, 538, 519, 2104, 267, 23342, 543, 10217, 949, 2899, 1586, 581, 9833, 607, 16392, 2472, 2864, 982, 17195, 3536, 267, 543, 10217, 2472, 949, 581, 10057, 585, 741, 1072, 1790, 668, 7627, 607, 1134, 607, 4313, 532, 3601, 269, 898, 1058, 581, 7074, 602, 606, 6454, 538, 13487, 1981, 2188, 1281, 711, 8850, 14377, 883, 513, 5786, 538, 2295, 1673, 1047, 848, 1981, 563, 3528, 21658, 267, 1256, 1498, 2921, 21110, 6971, 16796, 8501, 2157, 267, 621, 1281, 711, 2569, 519, 1981, 540, 2348, 513, 2295, 4323, 269, 769, 1840, 267, 519, 7811, 2640, 540, 4189, 10217, 1590, 581, 7059, 609, 519, 1761, 4220, 269, 4107, 10217, 2472, 616, 1164, 538, 3170, 267, 4006, 267, 543, 8477, 267, 543, 10438, 7050, 5666, 540, 10217, 1223, 3895, 8377, 267, 799, 1522, 2965, 2333, 519, 1981, 540, 2295, 2068, 269, 28688, 3568, 513, 1297, 540, 1114, 6464, 602, 666, 1860, 519, 2634, 543, 8401, 1062, 563, 1103, 1840, 547, 5266, 1804, 5666, 540, 519, 984, 668, 710, 630, 320, 7623, 2147, 547, 14933, 1070, 10217, 3568, 4307, 1803, 628, 2643, 8533, 630, 6518, 814, 3527, 2147, 547, 1346, 540, 18041, 2867, 26952, 264, 543, 513, 5063, 4362, 11140, 1572, 606, 663, 29524, 630, 6518, 25907, 547, 519, 1482, 3135, 538, 519, 2634, 607, 1281, 519, 3742, 12146, 538, 17089, 1040, 634, 2360, 540, 891, 7135, 593, 1480, 1072, 616, 711, 7357, 2312, 282, 2705, 267, 10217, 1281, 2408, 547, 581, 513, 968, 332, 785, 17038, 18146, 892, 1426, 267, 609, 5732, 2942, 6286, 585, 930, 1004, 269, 769, 1840, 267, 10217, 666, 581, 13982, 532, 267, 607, 519, 1082, 1004, 945, 6159, 557, 621, 786, 1140, 652, 563, 6637, 12866, 2443, 1230, 7501, 267, 20480, 543, 32505, 1230, 7501, 267, 20480, 267, 543, 32505, 4014, 1382, 543, 1344, 593, 1072, 2640, 540, 10217, 568, 17774, 5217, 267, 621, 779, 1271, 547, 3314, 602, 10217, 568, 693, 519, 9133, 540, 519, 1426, 3391, 18158, 2059, 609, 9600, 267, 11041, 543, 26265, 269, 1879, 649, 3548, 1932, 1082, 8477, 543, 3170, 267, 649, 2744, 2597, 267, 799, 4679, 1981, 585, 2295, 2068, 267, 930, 11871, 267, 3987, 267, 8377, 543, 824, 3676, 269, 14856, 513, 10217, 3046, 786, 711, 8209, 1118, 596, 3170, 267, 855, 10217, 13000, 1058, 581, 7059, 476, 603, 824, 1426, 5079, 2429, 519, 1554, 269, 1924, 723, 707, 10217, 543, 3548, 621, 1932, 269, 2755, 972, 616, 17386, 2318, 543, 2942, 2360, 2404, 609, 10217, 4616, 267, 519, 3173, 945, 5342, 519, 1353, 3494, 602, 10217, 568, 513, 3730, 1840, 547, 519, 2732, 269, 2755, 519, 1382, 607, 547, 2436, 610, 711, 10217, 1058, 581, 1031, 547, 1521, 513, 3099, 540, 9025, 2175, 568, 1869, 10169, 21016, 5477, 267, 10217, 949, 581, 5363, 538, 1082, 3871, 269, 28688, 779, 3983, 10639, 2501, 689, 519, 1082, 14868, 4478, 621, 269, 3798, 24325, 517, 264, 6736, 2442, 3661, 267, 10217, 3085, 1406, 2014, 610, 22009, 18383, 269, 26681, 1281, 621, 2014, 5959, 9178, 269, 769, 1249, 267, 10217, 814, 1978, 3601, 602, 960, 1996, 4006, 779, 2067, 12402, 547, 3132, 519, 5711, 4551, 602, 5012, 547, 9178, 269, 4658, 616, 849, 12922, 540, 10217, 779, 14933, 1543, 855, 621, 568, 9670, 547, 917, 602, 1247, 6995, 814, 476, 9873, 268, 5611, 8406, 540, 14933, 267, 10217, 1152, 814, 476, 277, 8406, 829, 26412, 269, 10801, 1686, 267, 10217, 814, 3177, 1082, 2640, 547, 1082, 2516, 540, 1004, 855, 1869, 6591, 513, 3983, 10639, 607, 606, 14432, 1426, 563, 763, 1975, 8643, 1841, 2808, 10217, 547, 581, 606, 21428, 549, 4134, 13519, 543, 519, 17417, 1031, 621, 585, 16392, 5301, 269, 4653, 267, 3646, 616, 1373, 1500, 547, 16355, 557, 519, 7242, 602, 10217, 3568, 513, 9589, 12146, 267, 3079, 5316, 5024, 519, 16990, 4606, 2404, 609, 10217, 547, 513, 5626, 7681, 609, 519, 9403, 269, 5525, 723, 8810, 602, 10217, 22262, 519, 2634, 547, 5305, 2067, 968, 335, 664, 26973, 619, 269, 9232, 630, 21930, 264, 3509, 1382, 3785, 723, 20114, 513, 3099, 540, 8753, 3823, 519, 2318, 2360, 540, 10217, 267, 8151, 689, 2640, 540, 519, 2295, 547, 5626, 2126, 563, 2662, 7241, 519, 2601, 267, 519, 2110, 3856, 1198, 540, 10217, 568, 3768, 529, 1584, 539, 269, 1656, 3173, 616, 669, 6235, 2476, 693, 10217, 779, 3983, 10639, 607, 513, 22938, 1426, 609, 741, 4797, 4681, 269, 2290, 540, 519, 1034, 1271, 2090, 4951, 602, 10217, 779, 2707, 540, 15459, 3170, 729, 588, 792, 545, 3679, 267, 799, 1281, 711, 6318, 8501, 2157, 269, 12344, 952, 519, 5253, 543, 10684, 10029, 556, 5035, 1881, 588, 792, 545, 3679, 607, 1447, 5739, 267, 519, 9422, 1871, 540, 10217, 1131, 4473, 269, 898, 568, 1271, 547, 5431, 602, 1082, 540, 519, 2090, 5941, 538, 713, 1957, 616, 18106, 610, 803, 4526, 563, 6624, 1866, 267, 2523, 1346, 23032, 676, 10217, 3549, 267, 666, 581, 22801, 543, 4734, 513, 2603, 540, 1713, 1344, 856, 269, 1280, 1383, 267, 1247, 1382, 17613, 602, 10217, 3568, 25168, 1156, 11169, 267, 799, 723, 15934, 3601, 267, 713, 3112, 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 ]
[ 476, 5780, 2929, 1296, 3516, 267, 4929, 7372, 9552, 543, 3056, 547, 519, 14486, 540, 782, 1875, 268, 822, 1014, 17878, 780, 4913, 267, 824, 3173, 3494, 602, 891, 15455, 8507, 689, 513, 2518, 6360, 602, 7018, 5111, 476, 275, 267, 4335, 1296, 3516, 269, 2334, 1131, 1611, 602, 519, 1184, 3743, 585, 8497, 891, 21300, 15455, 3576, 1747, 936, 513, 10156, 2053, 7051, 982, 2356, 10924, 269, 634, 7521, 1063, 891, 6436, 8711, 875, 1950, 543, 4241, 938, 4541, 781, 1686, 666, 581, 780, 2026, 513, 21233, 14542, 609, 1272, 593, 3047, 267, 596, 1522, 4898, 1018, 3425, 798, 1169, 1554, 610, 1018, 2645, 789, 4122, 946, 269, 18972, 4497, 538, 3875, 2238, 899, 14379, 1210, 4992, 543, 6698, 630, 21406, 4654, 1070, 4687, 1702, 998, 2854, 6054, 630, 3697, 2835, 267, 14786, 267, 543, 7270, 1070, 2679, 24181, 630, 7945, 607, 5321, 267, 13646, 267, 543, 8637, 264, 585, 4027, 1996, 4365, 2175, 267, 1818, 1426, 267, 4730, 3756, 267, 543, 10707, 2066, 5318, 9883, 1312, 593, 2244, 543, 2011, 269, 28871, 8246, 3457, 1331, 16389, 267, 5904, 267, 6517, 267, 14884, 267, 543, 14742, 269, 2353, 1346, 1919, 948, 873, 1118, 741, 2729, 4443, 543, 811, 4448, 609, 835, 1776, 780, 2791, 949, 849, 5469, 602, 3425, 4043, 547, 960, 1927, 538, 2516, 267, 8108, 2950, 1759, 593, 3838, 4690, 267, 4978, 267, 610, 6753, 269, 9442, 4249, 513, 2629, 1909, 1369, 891, 7239, 282, 2093, 616, 22121, 267, 3664, 1500, 15217, 267, 543, 2042, 12193, 607, 513, 2319, 269, 4658, 1419, 12840, 547, 2263, 2470, 267, 1451, 827, 922, 11580, 267, 543, 8190, 922, 5898, 585, 2104, 5481, 269, 13028, 625, 899, 519, 2487, 21300, 15455, 3565, 3648, 547, 9750, 938, 7104, 1702, 543, 4492, 7279, 2509, 519, 13655, 4478, 938, 9058, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 1446, 2632, 5505, 5063, 4362, 519, 9864, 15455, 540, 1079, 1007, 2249, 540, 21300, 1175, 3544, 540, 16629, 629, 331, 4545, 320, 269, 1306, 7150, 538, 513, 3163, 6034, 2376, 267, 789, 968, 516, 1636, 1079, 1007, 705, 601, 529, 4768, 573, 15455, 689, 519, 5580, 8575, 770, 5341, 339, 1014, 8485, 919, 540, 519, 744, 27968, 19869, 1735, 19438, 267, 538, 7187, 25448, 1848, 272, 454, 763, 2160, 540, 24872, 267, 4789, 267, 2046, 5305, 7150, 912, 13828, 941, 851, 540, 513, 1920, 540, 18642, 23097, 5387, 17878, 1634, 607, 705, 601, 13453, 2720, 1496, 320, 1920, 540, 524, 518, 520, 13239, 1014, 519, 1886, 617, 17878, 3910, 543, 5030, 7258, 519, 1454, 3677, 705, 601, 529, 4768, 16441, 534, 529, 19653, 3046, 8663, 16307, 267, 6029, 602, 25448, 729, 1753, 547, 3309, 21300, 2249, 1175, 1354, 513, 9649, 20503, 13351, 693, 519, 1439, 540, 519, 31350, 17675, 267, 10678, 519, 2085, 540, 17878, 269, 273, 454, 290, 516, 566, 1235, 616, 6126, 602, 4720, 1235, 616, 4947, 1472, 543, 7487, 602, 971, 513, 6727, 19746, 568, 519, 1267, 540, 513, 5001, 31685, 269, 1717, 267, 713, 19746, 7012, 1406, 519, 1267, 540, 606, 20503, 267, 855, 540, 513, 5001, 6360, 827, 476, 275, 267, 4335, 1296, 3516, 563, 763, 24627, 568, 15991, 2484, 1922, 564, 3481, 269, 769, 1249, 267, 513, 6252, 2376, 1775, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 3163, 1299, 7186, 1315, 26187, 2812, 1315, 20550, 13239, 26187, 2812, 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, 4495, 2390, 513, 942, 267, 538, 513, 14925, 711, 865, 2484, 2476, 267, 5030, 1079, 1655, 2828, 3957, 2098, 2089, 344, 543, 2107, 4226, 269, 1358, 6068, 4730, 3381, 3756, 1927, 256, 4256, 5172, 729, 1572, 834, 1103, 5765, 2437, 799, 1577, 873, 8038, 5624, 4721, 543, 6370, 9813, 28164, 269, 1809, 835, 1554, 789, 9289, 267, 834, 4692, 649, 1118, 938, 21804, 1413, 1114, 12482, 313, 2089, 344, 4280, 12157, 339, 289, 582, 267, 741, 5363, 8378, 8773, 267, 585, 948, 1620, 875, 1915, 29356, 1568, 269, 12157, 339, 289, 582, 6045, 267, 834, 2691, 596, 1689, 707, 1915, 781, 28459, 610, 24915, 267, 596, 2811, 19249, 922, 2527, 1107, 519, 2179, 540, 2339, 538, 606, 1843, 1701, 1261, 4797, 267, 834, 2419, 4474, 2527, 666, 1860, 875, 3728, 1919, 1847, 1317, 2597, 5540, 8904, 267, 17444, 3615, 2509, 1142, 824, 15323, 7775, 4226, 1185, 606, 2856, 269, 2701, 6069, 267, 834, 1432, 952, 649, 1500, 938, 12681, 2706, 1769, 676, 4758, 873, 3579, 13777, 22618, 17015, 286, 14348, 333, 1405, 602, 1611, 789, 1223, 546, 17690, 14763, 811, 3362, 8119, 19196, 1243, 569, 267, 1352, 3773, 267, 834, 4517, 6148, 1256, 7914, 2362, 2094, 1447, 2597, 1131, 991, 547, 979, 909, 15323, 289, 1245, 569, 267, 789, 4956, 547, 1449, 741, 3069, 538, 1483, 1272, 1210, 4948, 2326, 899, 1957, 267, 5068, 14569, 267, 543, 2835, 547, 18082, 5624, 3726, 2694, 269, 28392, 7893, 12035, 543, 9883, 267, 789, 4767, 875, 4946, 610, 9427, 3688, 4957, 875, 1164, 789, 1223, 7914, 269, 1677, 741, 9983, 267, 950, 789, 941, 1360, 1769, 267, 17259, 1164, 2968, 2352, 1813, 547, 3668, 540, 6617, 780, 306, 611, 569, 267, 5103, 2679, 9735, 3168, 1412, 4944, 2167, 7057, 10086, 789, 7691, 602, 4657, 513, 12681, 781, 5920, 4769, 1405, 4019, 538, 834, 1103, 5765, 257, 2094, 621, 7012, 1405, 2966, 609, 1346, 2934, 269, 8616, 267, 789, 4121, 1945, 3407, 910, 1247, 22212, 2527, 1522, 1764, 5163, 267, 3666, 6927, 1932, 269, 6884, 267, 1373, 7059, 5012, 547, 1732, 2773, 982, 1373, 5393, 17426, 269, 1656, 3976, 267, 938, 2370, 3744, 4362, 519, 2956, 540, 11466, 538, 6323, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 5716, 21160, 741, 3197, 262, 856, 22327, 543, 24915, 538, 769, 5765, 781, 8396, 1062, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1344, 593, 782, 3756, 269, 1717, 267, 1759, 593, 1250, 1382, 267, 769, 5765, 3085, 1405, 723, 513, 8396, 1062, 610, 1915, 29356, 4183, 269, 898, 568, 513, 5929, 9095, 1228, 16654, 9496, 518, 3014, 1141, 5716, 1852, 513, 2582, 5624, 1222, 543, 9718, 2933, 1996, 6329, 540, 10546, 14361, 269, 4475, 267, 5716, 3112, 21160, 741, 1915, 781, 856, 22327, 610, 24915, 538, 769, 5765, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 1691, 281, 15776, 15487, 9085, 543, 6581, 518, 7869, 910, 4197, 7756, 21126, 692, 5970, 596, 2479, 9289, 1018, 621, 1797, 950, 2576, 14439, 607, 24139, 610, 20210, 286, 2107, 5310, 596, 2811, 8049, 827, 1946, 930, 1004, 3442, 547, 2328, 827, 891, 2833, 538, 3332, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 15776, 15487, 9085, 543, 6581, 518, 7869, 2439, 5575, 267, 1577, 781, 2736, 1524, 930, 1271, 2474, 269, 15776, 15487, 4016, 547, 2021, 945, 616, 13631, 14156, 267, 9308, 267, 543, 5924, 6535, 656, 1227, 547, 824, 2021, 269, 3767, 267, 1018, 827, 20210, 3069, 286, 2334, 1522, 3280, 7294, 267, 855, 1810, 1405, 5855, 22924, 781, 1175, 513, 1259, 540, 3206, 602, 2591, 2757, 2093, 827, 4008, 543, 14920, 269, 6581, 518, 28466, 3494, 602, 972, 616, 811, 2081, 547, 2769, 3054, 982, 3274, 1373, 5256, 610, 4775, 267, 2786, 610, 14447, 269, 1358, 8661, 4763, 543, 23141, 2439, 3086, 602, 649, 1174, 891, 2035, 1732, 267, 1577, 781, 2263, 741, 4276, 609, 3332, 269, 1411, 949, 723, 1224, 2835, 10023, 3197, 945, 2697, 607, 24139, 1354, 267, 1256, 952, 596, 4769, 1405, 8275, 621, 693, 519, 942, 269, 1452, 9089, 666, 948, 3988, 26003, 1125, 609, 1866, 262, 2833, 543, 22962, 741, 1620, 540, 519, 1158, 1472, 873, 269, 2368, 2442, 1806, 540, 24139, 3332, 1331, 834, 7775, 1633, 334, 257, 676, 9098, 26741, 325, 543, 834, 763, 7822, 31947, 257, 676, 7705, 21701, 780, 20075, 518, 3069, 849, 4249, 513, 1713, 1909, 538, 5339, 9880, 269, 1879, 7421, 5931, 998, 713, 7828, 267, 13915, 4983, 875, 4589, 946, 1893, 543, 9423, 2553, 547, 4161, 6848, 8155, 3823, 4008, 543, 14920, 269, 1280, 3236, 267, 789, 1522, 2307, 2055, 899, 281, 1215, 1281, 519, 2278, 9446, 3197, 945, 1810, 1405, 3514, 1369, 6093, 4008, 5107, 286, 1548, 6835, 827, 14920, 1281, 519, 1433, 6655, 17697, 569, 610, 12799, 286, 1635, 6313, 3332, 998, 513, 20210, 7811, 5133, 267, 649, 2744, 4514, 4030, 883, 1312, 519, 1257, 3294, 543, 938, 1378, 4978, 827, 3961, 543, 4082, 780, 3719, 3314, 267, 7234, 3584, 1644, 547, 11806, 266, 2950, 12582, 1405, 1152, 4755, 1247, 4974, 3332, 282, 1930, 7391, 827, 2463, 267, 10343, 267, 543, 13784, 1058, 8831, 3564, 519, 4928, 1932, 269, 11559, 707, 2828, 267, 1920, 2818, 267, 543, 9905, 547, 9784, 3604, 543, 5660, 1585, 5380, 269, 2991, 782, 267, 3884, 1405, 1272, 811, 4277, 950, 649, 1451, 689, 835, 1776, 781, 2189, 2984, 2496, 1103, 3932, 267, 3695, 24139, 3332, 543, 7311, 20210, 3069, 2636, 721, 547, 5660, 3309, 9739, 543, 4228, 938, 8223, 540, 4008, 543, 14920, 269, 1924, 1985, 942, 596, 4584, 909, 513, 1433, 267, 2015, 875, 922, 3197, 543, 6386, 3565, 547, 519, 3638, 13795, 540, 1480, 1995, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 519, 13834, 543, 11557, 7081, 3194, 1849, 13831, 454, 17098, 782, 267, 21741, 603, 320, 12254, 3467, 1934, 2336, 2026, 2212, 540, 519, 17335, 310, 667, 9143, 13834, 543, 11557, 7081, 1382, 12440, 267, 621, 779, 513, 5458, 12257, 547, 10950, 596, 1394, 547, 519, 2034, 3390, 540, 717, 25311, 966, 7860, 269, 898, 814, 1044, 1390, 547, 1294, 875, 1134, 519, 1101, 3390, 729, 4607, 267, 543, 594, 6557, 2386, 713, 7160, 786, 8141, 1082, 18398, 5717, 269, 901, 814, 1044, 1776, 11112, 1032, 585, 519, 13834, 543, 11557, 7081, 12440, 269, 1284, 4076, 10150, 1896, 2542, 1895, 2743, 13522, 267, 22555, 543, 11461, 21667, 4432, 330, 30639, 267, 1141, 649, 4076, 8268, 971, 3584, 607, 4008, 9186, 568, 2257, 267, 29724, 2173, 553, 1529, 6541, 267, 543, 14920, 538, 519, 2984, 540, 4911, 11253, 25020, 269, 898, 814, 1044, 513, 1390, 4316, 585, 721, 782, 547, 5490, 883, 824, 2127, 540, 1382, 267, 543, 1589, 827, 1114, 18125, 540, 4008, 543, 14920, 269, 1284, 1413, 4464, 547, 519, 10872, 585, 713, 4081, 1032, 267, 1141, 519, 2542, 1895, 786, 581, 21365, 4798, 1519, 21272, 540, 4008, 3961, 3544, 540, 513, 5375, 2796, 267, 543, 1875, 321, 14373, 1143, 630, 13630, 5799, 547, 713, 3390, 540, 717, 25311, 966, 16211, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 525, 15487, 9085, 543, 6581, 518, 7869, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6468, 22439, 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, 8893, 281, 4197, 3776 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12347, 543, 693, 1164, 10605, 267, 865, 798, 711, 7227, 585, 519, 28963, 855, 1832, 3001, 3728, 269, 634, 15864, 1259, 568, 547, 1832, 513, 11733, 585, 3054, 267, 585, 1383, 267, 676, 10203, 689, 476, 272, 547, 476, 276, 563, 32622, 540, 3007, 454, 268, 8347, 547, 5734, 519, 18109, 693, 519, 7914, 909, 609, 707, 3946, 454, 268, 5901, 707, 3952, 593, 12048, 8700, 1282, 519, 15808, 454, 268, 5901, 707, 1394, 7168, 2786, 693, 519, 7914, 547, 15808, 2990, 267, 798, 711, 29345, 454, 268, 8571, 707, 17987, 538, 1142, 7914, 543, 9395, 523, 1864, 454, 268, 5901, 707, 17525, 538, 15808, 2990, 1318, 1657, 707, 3946, 454, 268, 1403, 596, 7985, 689, 707, 2539, 1394, 267, 3442, 547, 1900, 3079, 540, 17259, 563, 763, 3276, 701, 324, 666, 581, 1031, 538, 4222, 2866, 267, 610, 2866, 269, 634, 1034, 1455, 1259, 568, 519, 476, 272, 18826, 4161, 281, 798, 607, 1082, 607, 2009, 3276, 701, 525, 538, 835, 8792, 269, 4033, 7648, 616, 912, 268, 476, 274, 5036, 540, 476, 1428, 3276, 701, 525, 609, 476, 1789, 268, 3393, 2034, 23249, 454, 268, 589, 18158, 3337, 281, 1376, 609, 476, 1015, 3276, 701, 525, 267, 1287, 476, 280, 267, 1287, 476, 279, 543, 865, 593, 2394, 596, 3914, 476, 272, 267, 2736, 476, 1428, 3813, 454, 268, 769, 606, 8884, 2866, 281, 476, 272, 8792, 2196, 910, 476, 1015, 3276, 701, 525, 267, 476, 277, 5036, 538, 2698, 609, 476, 1428, 3813, 23249, 454, 268, 9737, 707, 4222, 2866, 281, 1310, 1142, 3635, 476, 276, 3276, 701, 525, 454, 13480, 8083, 5020, 5147, 476, 1839, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 1692, 1281, 7244, 1689, 1282, 3635, 286, 2659, 9224, 568, 4274, 569, 2966, 585, 6667, 269, 898, 568, 22862, 609, 1507, 24827, 602, 6882, 7452, 543, 17900, 607, 649, 11375, 1446, 269, 898, 849, 814, 29935, 17011, 602, 1039, 3636, 543, 7509, 547, 519, 2011, 1354, 11488, 621, 547, 707, 9641, 269, 634, 9224, 849, 18274, 3294, 676, 16937, 540, 5536, 538, 29935, 610, 32125, 547, 24773, 880, 8886, 1218, 269, 1717, 267, 1034, 1004, 798, 519, 1034, 540, 741, 7244, 676, 5023, 269, 901, 949, 3100, 4443, 547, 798, 2523, 1282, 3635, 267, 855, 3257, 865, 666, 2965, 1291, 547, 5409, 1203, 30968, 707, 1560, 267, 9561, 1648, 616, 14129, 269, 8347, 891, 17725, 7244, 2553, 547, 948, 1832, 707, 7244, 9350, 543, 7059, 563, 20797, 3826, 1127, 998, 707, 9224, 543, 856, 540, 5023, 1354, 3257, 512, 3931, 3635, 269, 23063, 20005, 538, 513, 11381, 610, 18084, 7953, 593, 519, 2666, 609, 707, 3946, 593, 707, 19704, 269, 22165, 515, 7184, 998, 707, 9224, 1247, 14656, 707, 5023, 269, 3973, 17938, 1446, 676, 5023, 269, 15566, 609, 713, 3635, 585, 513, 1906, 3764, 543, 10956, 5781, 1354, 2866, 543, 693, 824, 2053, 547, 3895, 11005, 543, 1648, 563, 763, 2259, 540, 2620, 14159, 7244, 666, 13236, 998, 707, 9224, 1282, 3635, 607, 1134, 607, 3207, 269, 10925, 707, 1394, 593, 513, 19756, 1319, 609, 707, 3946, 593, 707, 7181, 269, 22165, 515, 538, 998, 707, 9224, 865, 602, 707, 7181, 14380, 543, 1287, 11081, 607, 596, 17938, 1446, 998, 707, 5023, 563, 2521, 4244, 17725, 7244, 547, 2953, 519, 6208, 540, 7244, 1282, 519, 3635, 269, 23063, 20005, 593, 513, 19756, 11381, 610, 3635, 593, 606, 3635, 6191, 269, 2422, 519, 4994, 9416, 610, 14853, 540, 835, 1688, 547, 4019, 2571, 2604, 547, 519, 2427, 540, 835, 19911, 22567, 547, 2673, 621, 269, 22165, 515, 538, 998, 519, 824, 267, 1930, 19911, 22567, 585, 827, 1079, 7643, 269, 22165, 515, 998, 707, 5023, 543, 10956, 676, 11375, 2718, 609, 519, 824, 19911, 22567, 269, 901, 3635, 2337, 596, 1205, 1031, 547, 7244, 998, 707, 9224, 3079, 540, 707, 5023, 1282, 960, 563, 2710, 711, 11375, 1446, 25525, 3585, 610, 1932, 3533, 269, 901, 666, 1291, 547, 5409, 1203, 7976, 543, 21994, 269, 1403, 596, 723, 10447, 267, 7244, 5751, 666, 948, 2569, 519, 2589, 267, 2705, 267, 621, 568, 1271, 547, 5077, 513, 4387, 610, 13309, 547, 2327, 602, 596, 3635, 519, 7244, 5751, 7157, 563, 6524, 4358, 3635, 267, 971, 607, 4881, 610, 28185, 3101, 267, 2259, 17725, 7244, 1247, 3257, 824, 3029, 540, 3635, 971, 607, 7796, 919, 267, 10649, 610, 1769, 2597, 17666, 269, 1403, 596, 13236, 998, 707, 5023, 1247, 12008, 267, 707, 12687, 909, 4743, 949, 581, 1360, 19818, 344, 543, 723, 513, 3819, 5023, 269, 13693, 707, 4387, 827, 513, 24060, 588, 1905, 865, 596, 666, 1689, 707, 7244, 6208, 269, 1403, 596, 723, 2879, 1681, 610, 3207, 19103, 267, 596, 949, 849, 991, 2564, 2126, 1354, 596, 666, 1689, 707, 7244, 269, 4518, 8083, 5020, 5147, 476, 2190, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 1432, 568, 513, 6177, 2915, 3635, 286, 634, 6177, 2915, 568, 513, 1970, 27233, 1560, 7076, 3635, 602, 2636, 596, 547, 15313, 519, 2620, 11689, 1944, 6091, 540, 519, 12636, 543, 25637, 269, 1411, 666, 1020, 2599, 1852, 607, 1134, 607, 16885, 334, 4003, 267, 610, 513, 1732, 2631, 540, 17568, 540, 707, 2539, 1394, 543, 519, 10652, 6665, 538, 2230, 269, 1879, 596, 798, 519, 3635, 267, 1832, 707, 11983, 6241, 538, 519, 9243, 14302, 543, 707, 10652, 6665, 1869, 269, 634, 6177, 2915, 711, 1152, 18791, 707, 11983, 6241, 11689, 9088, 855, 849, 707, 14159, 6091, 267, 1394, 267, 7916, 543, 7953, 269, 898, 568, 2523, 2500, 585, 9845, 945, 991, 547, 24644, 851, 540, 519, 1560, 1247, 3001, 17873, 563, 7476, 3946, 543, 3952, 267, 13236, 856, 543, 2786, 523, 707, 1318, 1850, 269, 2659, 1850, 1058, 581, 6252, 547, 519, 6989, 543, 538, 1899, 609, 707, 1394, 269, 2311, 519, 1482, 942, 267, 22962, 707, 2451, 6186, 865, 602, 621, 568, 1463, 585, 596, 269, 2659, 6186, 1058, 581, 513, 2786, 1899, 609, 707, 1560, 543, 1318, 1850, 269, 4858, 576, 707, 14159, 6091, 543, 1832, 519, 6177, 6253, 662, 2990, 585, 827, 476, 1015, 7643, 269, 22165, 515, 538, 543, 2132, 707, 6186, 543, 1850, 547, 519, 4358, 2990, 269, 19244, 713, 609, 2451, 1850, 543, 1318, 6186, 269, 1677, 1039, 513, 4161, 267, 1106, 707, 21401, 1688, 883, 513, 9395, 31329, 543, 7444, 7485, 10945, 563, 289, 2273, 13928, 11644, 11588, 281, 8490, 7736, 4269, 454, 2691, 7900, 519, 6177, 1673, 690, 3635, 267, 960, 593, 26176, 2088, 676, 2810, 519, 1297, 540, 10221, 1431, 269, 1411, 798, 711, 991, 547, 17945, 519, 17945, 2990, 3564, 476, 1015, 7643, 610, 10956, 621, 547, 519, 1448, 540, 4887, 9854, 269, 1323, 2500, 15904, 5161, 540, 2185, 10221, 1431, 538, 799, 596, 3180, 1142, 2022, 585, 476, 1015, 7643, 267, 4553, 676, 513, 2539, 1297, 540, 10221, 1431, 547, 946, 593, 1018, 1379, 596, 1869, 723, 267, 2687, 547, 17755, 650, 269, 634, 1883, 568, 547, 2226, 3337, 2429, 519, 3003, 3635, 267, 1437, 908, 519, 6091, 538, 707, 5580, 543, 2539, 1560, 267, 855, 711, 4929, 707, 1394, 547, 1847, 269, 4518, 8083, 5020, 5147, 476, 2190, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 7628, 3635, 899, 6972, 610, 4881, 267, 596, 3006, 1294, 707, 11263, 543, 3946, 2220, 749, 269, 4014, 713, 7509, 12802, 949, 581, 2352, 543, 13943, 267, 896, 3592, 782, 2175, 621, 568, 513, 3339, 12214, 3210, 547, 3635, 543, 568, 711, 513, 2014, 585, 15372, 269, 2368, 1004, 616, 811, 6213, 982, 1866, 585, 3635, 14001, 11926, 540, 519, 3946, 563, 19102, 1078, 1973, 3761, 454, 2691, 596, 3635, 267, 1747, 513, 8273, 2243, 593, 707, 1973, 10009, 543, 7929, 1949, 269, 1306, 1973, 2095, 4679, 547, 707, 2295, 267, 9641, 543, 6091, 267, 621, 6971, 538, 17119, 885, 899, 707, 11263, 269, 1306, 513, 1267, 267, 3579, 707, 11263, 543, 519, 3946, 267, 6679, 741, 1973, 8043, 9962, 267, 4611, 538, 30046, 610, 11926, 269, 23849, 617, 7976, 910, 634, 546, 7976, 540, 519, 1973, 8043, 910, 19171, 547, 519, 2960, 4523, 609, 4674, 543, 568, 835, 540, 519, 2081, 519, 1560, 13847, 3002, 689, 519, 1973, 607, 3635, 2112, 916, 707, 1062, 563, 5194, 2601, 596, 786, 5469, 11926, 1282, 519, 3635, 602, 666, 6952, 5277, 538, 707, 3946, 269, 20306, 677, 4679, 519, 2179, 540, 1973, 23028, 998, 707, 1560, 269, 634, 2462, 6091, 540, 707, 7953, 1847, 25525, 3585, 538, 1034, 3029, 540, 3635, 267, 855, 519, 6091, 540, 707, 7916, 616, 4130, 543, 666, 711, 960, 865, 2182, 269, 1879, 707, 5580, 17873, 616, 2630, 519, 1377, 540, 707, 2295, 267, 607, 789, 616, 950, 596, 3802, 610, 2196, 267, 8904, 2306, 621, 9875, 585, 5277, 547, 4734, 707, 3946, 267, 4929, 873, 547, 9514, 909, 563, 7212, 4686, 267, 513, 811, 4049, 1106, 540, 1560, 1591, 11926, 949, 12212, 2049, 693, 9845, 547, 1491, 851, 538, 14053, 23242, 2621, 971, 607, 2261, 987, 976, 269, 715, 3139, 3834, 517, 520, 8145, 807, 267, 713, 5906, 2783, 568, 3361, 676, 513, 3668, 540, 6190, 9770, 538, 519, 1560, 269, 14066, 5666, 540, 1216, 4235, 538, 3665, 4674, 666, 2014, 8650, 19717, 540, 3339, 9770, 2157, 269, 4033, 2589, 267, 1519, 10539, 267, 9854, 543, 13481, 267, 616, 7805, 538, 1840, 547, 11926, 538, 519, 3946, 543, 11263, 269, 15526, 16143, 540, 7092, 689, 3834, 517, 520, 8145, 807, 3340, 7525, 2564, 3007, 563, 7212, 972, 568, 1100, 1259, 547, 2061, 30046, 8108, 538, 707, 3946, 593, 4674, 267, 596, 666, 2061, 9636, 676, 9427, 14034, 267, 29167, 267, 610, 695, 16630, 609, 9395, 524, 32332, 1354, 2866, 269, 1306, 4166, 607, 596, 3247, 267, 519, 10009, 543, 4320, 540, 5714, 538, 707, 3946, 786, 2132, 547, 3339, 4166, 269, 4518, 8083, 5020, 5147, 476, 2537, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 2414, 3635, 267, 519, 1560, 2115, 5567, 899, 5946, 2073, 9600, 543, 11950, 1547, 2961, 8510, 6233, 616, 1271, 585, 519, 1648, 3761, 267, 865, 596, 723, 2614, 1648, 547, 2196, 513, 1434, 1279, 2196, 585, 1383, 269, 1403, 596, 723, 1932, 2370, 1648, 538, 707, 1560, 267, 596, 786, 5469, 602, 596, 616, 5488, 538, 707, 1379, 269, 26287, 1231, 616, 1271, 585, 4887, 6051, 269, 1635, 4189, 2614, 5946, 267, 707, 1560, 568, 1732, 2111, 547, 7816, 519, 4887, 3441, 540, 519, 3635, 563, 2005, 781, 711, 519, 2013, 602, 596, 2811, 11207, 856, 540, 7328, 950, 596, 5721, 593, 606, 8900, 7181, 269, 634, 1560, 568, 1869, 11112, 7558, 532, 519, 6484, 540, 519, 1554, 1354, 269, 6969, 707, 2732, 4625, 2007, 3949, 543, 519, 26520, 538, 519, 16003, 12826, 267, 596, 786, 723, 476, 272, 547, 476, 273, 2395, 2451, 269, 901, 1797, 602, 596, 1869, 723, 1648, 543, 2679, 2326, 269, 23657, 1259, 267, 798, 711, 581, 12922, 952, 596, 723, 711, 13881, 1134, 585, 513, 4222, 2866, 269, 11569, 267, 972, 616, 849, 7899, 540, 1379, 9845, 945, 1685, 1134, 593, 606, 8900, 7181, 269, 6733, 585, 9845, 945, 1246, 606, 26740, 17509, 4189, 1505, 269, 2659, 1560, 814, 811, 14425, 982, 596, 1589, 543, 538, 1840, 267, 519, 2790, 2460, 4249, 606, 1271, 1909, 269, 645, 1168, 732, 540, 28491, 610, 3635, 609, 606, 8900, 7181, 269, 3502, 16764, 666, 798, 1134, 609, 713, 563, 1692, 1279, 1354, 3635, 1058, 596, 3548, 286, 594, 18973, 9845, 547, 3548, 513, 2462, 7594, 585, 1079, 610, 1614, 3108, 1354, 513, 630, 12741, 264, 2866, 269, 1452, 666, 581, 513, 1906, 32409, 609, 24113, 7423, 267, 9269, 6089, 267, 513, 1434, 19997, 609, 18437, 610, 513, 3905, 7594, 269, 1280, 3063, 1648, 267, 596, 666, 1491, 1776, 19337, 585, 3368, 606, 5662, 1354, 519, 2866, 610, 513, 26889, 540, 11945, 21360, 563, 288, 2462, 7594, 585, 519, 2866, 630, 274, 3108, 1354, 2866, 264, 568, 2523, 1271, 585, 9845, 269, 769, 1379, 5026, 1315, 8516, 596, 616, 1447, 8200, 593, 519, 1648, 3761, 540, 11950, 269, 26287, 1231, 616, 519, 1292, 2707, 540, 4887, 7816, 1318, 1310, 2866, 269, 634, 1840, 540, 5266, 1164, 11950, 1310, 2866, 1281, 711, 3100, 547, 581, 540, 1390, 1871, 585, 4887, 7816, 585, 519, 942, 1373, 563, 11795, 2397, 609, 9845, 454, 3528, 4189, 513, 19346, 3638, 7594, 476, 273, 547, 476, 274, 3108, 1354, 519, 2866, 596, 786, 5469, 602, 596, 666, 3180, 513, 1978, 10605, 585, 513, 2370, 3476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1472, 476, 1911, 332, 1472, 476, 4572, 271, 267, 543, 2951, 1131, 723, 1044, 1454, 811, 3908, 269, 1809, 2949, 594, 3858, 602, 519, 5001, 7829, 538, 476, 1708, 271, 814, 1044, 865, 828, 532, 563, 3963, 798, 596, 1589, 602, 286, 1358, 1767, 519, 1482, 3364, 1310, 834, 1873, 710, 2770, 257, 1282, 15525, 269, 26023, 267, 649, 1175, 3893, 18822, 563, 17606, 568, 17033, 513, 6830, 8462, 602, 713, 3884, 1406, 835, 540, 519, 1390, 2527, 13680, 1399, 2621, 538, 1977, 1686, 2223, 27050, 28822, 664, 267, 945, 729, 24068, 779, 8783, 540, 5234, 693, 519, 942, 267, 1767, 540, 670, 272, 301, 272, 538, 476, 1001, 280, 269, 968, 2005, 1185, 4986, 547, 798, 609, 721, 3257, 4376, 1318, 269, 898, 1175, 1185, 547, 798, 609, 9939, 269, 1403, 4896, 14659, 602, 713, 666, 1406, 4755, 1586, 267, 789, 1810, 1406, 723, 547, 979, 1394, 547, 476, 4489, 279, 267, 789, 1175, 723, 547, 979, 1394, 547, 476, 1220, 280, 267, 476, 1001, 271, 543, 4952, 513, 3644, 609, 513, 1114, 29723, 1275, 267, 543, 596, 666, 1175, 798, 519, 2979, 593, 602, 3034, 2005, 781, 27613, 2097, 19692, 2864, 982, 2663, 269, 18972, 1958, 25209, 593, 519, 2067, 9249, 540, 2831, 782, 936, 519, 1158, 267, 799, 4679, 519, 1297, 1990, 3019, 4680, 13497, 269, 4107, 971, 21383, 13569, 1810, 1405, 2014, 1022, 2417, 1480, 547, 1480, 3262, 269, 6056, 540, 631, 8991, 269, 1809, 972, 616, 21383, 13569, 602, 798, 3262, 1063, 3425, 267, 899, 538, 519, 2013, 540, 16568, 4211, 990, 268, 273, 269, 2755, 519, 5046, 6855, 568, 513, 2101, 15166, 15577, 267, 649, 941, 1869, 3833, 18822, 269, 631, 8991, 814, 513, 1454, 2362, 2013, 3170, 1275, 5223, 269, 23985, 602, 19082, 607, 3362, 607, 16568, 4211, 990, 268, 273, 1247, 1373, 607, 14686, 607, 631, 8991, 568, 7357, 2009, 563, 2171, 1058, 1376, 8600, 2899, 1034, 540, 519, 2551, 568, 18764, 543, 1480, 7239, 723, 8120, 547, 3339, 269, 3763, 543, 1449, 17617, 597, 1023, 3077, 1154, 519, 24721, 5946, 538, 2101, 3644, 3885, 269, 12706, 513, 18180, 602, 666, 4431, 547, 1007, 8290, 3533, 609, 513, 6669, 269, 8073, 19206, 547, 3533, 19856, 909, 2527, 2504, 540, 623, 14154, 269, 10934, 519, 8290, 602, 2408, 538, 2831, 1472, 721, 547, 917, 1018, 649, 616, 909, 547, 563, 296, 4126, 602, 2797, 3401, 786, 6432, 547, 519, 1004, 3257, 971, 18747, 563, 296, 4126, 602, 519, 1007, 22328, 2029, 519, 26172, 6500, 543, 589, 313, 10074, 616, 1759, 593, 786, 948, 721, 1020, 543, 5478, 811, 3533, 269, 634, 6765, 7271, 786, 581, 1134, 268, 25969, 267, 519, 18180, 786, 581, 972, 267, 519, 12145, 3815, 1131, 1869, 581, 6616, 1018, 547, 3077, 543, 9584, 585, 3106, 27160, 24351, 855, 621, 1058, 1869, 948, 563, 296, 4126, 2147, 1919, 666, 581, 2944, 609, 4028, 18970, 18025, 10135, 4152, 3937, 563, 3080, 540, 519, 4245, 602, 594, 4312, 4121, 689, 713, 6855, 568, 602, 5103, 11566, 2963, 543, 936, 513, 2929, 7972, 267, 972, 781, 513, 1875, 2389, 337, 20190, 2179, 540, 1004, 945, 1869, 3494, 621, 781, 711, 1483, 267, 610, 945, 20549, 547, 5957, 513, 9633, 267, 610, 945, 13889, 1996, 519, 1906, 267, 7646, 267, 10257, 3800, 649, 666, 1491, 547, 1205, 998, 713, 9800, 269, 1924, 952, 4376, 267, 1250, 5132, 538, 30768, 814, 8854, 1524, 2433, 18692, 763, 1249, 602, 1004, 666, 581, 12777, 12955, 689, 5046, 538, 513, 6413, 2943, 1869, 20912, 922, 6228, 814, 3592, 11207, 10032, 1022, 5132, 594, 723, 538, 8103, 563, 16591, 3659, 540, 9553, 568, 513, 12016, 269, 2701, 814, 2938, 1004, 538, 519, 18317, 609, 13044, 20912, 602, 621, 6818, 1932, 269, 1703, 781, 1004, 4867, 593, 5135, 945, 979, 834, 333, 1695, 602, 3085, 1405, 2291, 594, 1810, 1405, 723, 621, 267, 519, 2923, 1500, 602, 909, 2668, 1924, 9493, 1695, 454, 14188, 2685, 267, 1272, 814, 513, 1259, 540, 8939, 1996, 1004, 945, 3111, 547, 957, 547, 8190, 741, 1378, 563, 22829, 4660, 607, 2576, 4171, 535, 4800, 568, 606, 15096, 308, 12016, 994, 19013, 602, 3085, 1405, 960, 865, 1134, 585, 513, 2068, 4171, 1292, 2707, 540, 1981, 547, 1142, 1268, 568, 519, 7180, 540, 824, 1004, 563, 4002, 513, 1114, 942, 4336, 621, 1281, 269, 898, 779, 8939, 1996, 2516, 4882, 1539, 7724, 602, 8007, 267, 1871, 610, 11863, 519, 5686, 540, 19326, 543, 3661, 1949, 602, 1450, 971, 2915, 3022, 569, 27315, 995, 22293, 547, 21707, 563, 28989, 267, 602, 3085, 1405, 960, 950, 1034, 2516, 4882, 1539, 7724, 616, 26945, 538, 16431, 269, 4634, 1034, 1004, 1373, 10257, 3884, 1405, 2614, 950, 519, 2623, 540, 519, 1906, 945, 5749, 1405, 1590, 581, 7109, 730, 538, 519, 2012, 540, 5191, 269, 1924, 2067, 5542, 4805, 4465, 1405, 2965, 2087, 4376, 563, 12892, 16817, 1143, 267, 9800, 543, 1134, 593, 670, 301, 2483, 1607, 568, 4890, 16817, 1143, 563, 2005, 781, 513, 9490, 569, 7262, 7613, 269, 4658, 1522, 581, 1289, 748, 827, 3106, 3800, 1934, 538, 3127, 267, 855, 11613, 1100, 835, 538, 1250, 6905, 5858, 540, 2828, 543, 1920, 814, 2479, 17792, 922, 6228, 610, 602, 621, 781, 1945, 1004, 991, 547, 581, 6297, 827, 563, 10908, 984, 958, 972, 781, 2484, 811, 3972, 585, 5238, 543, 6392, 982, 538, 3013, 269, 27639, 799, 2463, 519, 11361, 267, 519, 3318, 267, 543, 519, 4013, 269, 4634, 3564, 2463, 621, 11498, 547, 24150, 538, 930, 4025, 563, 296, 9090, 1294, 621, 538, 1250, 1378, 2528, 267, 799, 568, 6259, 269, 898, 781, 513, 5595, 1196, 3022, 18156, 267, 543, 666, 581, 1767, 547, 5512, 2417, 15746, 267, 855, 538, 513, 6433, 3510, 621, 781, 3730, 563, 20278, 707, 5132, 538, 2067, 5542, 563, 1103, 1840, 547, 1373, 30299, 267, 713, 18941, 568, 7168, 3765, 7666, 3660, 269, 634, 5542, 2604, 568, 2484, 1932, 7646, 547, 723, 1022, 12105, 1764, 563, 2414, 17642, 281, 524, 10604, 2824, 338, 5097, 1996, 2043, 3564, 741, 10285, 2085, 267, 2824, 338, 2484, 1932, 1507, 540, 519, 2551, 630, 684, 1652, 649, 1294, 891, 7972, 3136, 585, 5756, 1070, 543, 568, 1152, 7646, 569, 8939, 585, 4550, 9633, 5095, 563, 7197, 11932, 267, 1373, 4550, 2173, 2532, 666, 1405, 581, 11911, 547, 513, 2312, 4719, 4756, 630, 24392, 594, 15475, 972, 1522, 581, 930, 1360, 4617, 9756, 1070, 543, 2067, 5542, 3217, 1259, 267, 1259, 3476, 982, 513, 1480, 10715, 547, 1711, 18476, 2164, 19037, 269, 3502, 1256, 3478, 883, 519, 1249, 602, 972, 781, 1454, 811, 547, 4720, 982, 2067, 5542, 269, 898, 2965, 1085, 4100, 803, 602, 27581, 834, 2889, 1606, 7220, 257, 1004, 723, 971, 16866, 5784, 827, 621, 563, 9616, 602, 519, 2053, 7051, 585, 7487, 2164, 568, 1644, 547, 519, 5542, 2604, 269, 1411, 666, 1294, 1360, 3728, 2164, 630, 324, 3052, 269, 513, 2582, 610, 1906, 5481, 264, 952, 519, 2604, 568, 9058, 563, 28425, 9590, 298, 713, 1152, 4523, 3842, 11461, 6304, 630, 5408, 3425, 16496, 9960, 540, 7031, 267, 5243, 267, 29372, 267, 3092, 994, 12179, 821, 945, 13000, 2257, 607, 513, 4984, 7475, 909, 609, 513, 7168, 32049, 13919, 563, 2791, 666, 4894, 2257, 689, 602, 3948, 543, 621, 3513, 1869, 581, 3020, 269, 5808, 1197, 24283, 741, 13919, 689, 4984, 786, 693, 2053, 13789, 7168, 705, 1817, 1370, 569, 563, 14188, 2685, 19951, 1256, 1004, 19101, 789, 798, 865, 1419, 2965, 1810, 1405, 269, 594, 4318, 32270, 568, 993, 7394, 2687, 547, 519, 5931, 267, 855, 2486, 6410, 593, 585, 519, 1034, 851, 563, 600, 7394, 815, 270, 284, 1799, 7394, 454, 2791, 666, 4894, 4984, 543, 13919, 689, 602, 3948, 543, 621, 3513, 1869, 581, 3020, 563, 10144, 786, 693, 2053, 13789, 7168, 705, 1817, 1370, 569, 563, 1805, 16433, 7012, 1405, 3909, 267, 855, 646, 1869, 15748, 513, 17254, 4842, 26718, 540, 1010, 1378, 2197, 5443, 269, 667, 527, 1729, 31474, 563, 9617, 3843, 547, 1118, 519, 1448, 602, 1373, 29695, 31426, 609, 1373, 1480, 267, 711, 1373, 3909, 563, 1432, 2337, 803, 547, 1832, 5132, 538, 8103, 568, 31935, 1373, 9800, 1282, 31595, 30778, 942, 269, 1215, 3411, 20814, 621, 1590, 723, 1044, 585, 1864, 547, 1265, 3025, 10876, 7947, 532, 2257, 907, 286, 17610, 649, 723, 513, 1804, 1297, 540, 1004, 1631, 602, 1810, 1406, 3494, 538, 13968, 267, 10074, 267, 3092, 907, 267, 855, 1832, 538, 2247, 602, 519, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 269, 18776, 568, 1373, 1500, 267, 1175, 3006, 621, 3340, 513, 1900, 1394, 547, 1294, 621, 563, 285, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 454, 2791, 2811, 606, 23904, 835, 269, 1358, 1131, 723, 20366, 585, 513, 1614, 682, 13949, 1810, 4486, 609, 513, 9224, 8258, 543, 4154, 5694, 269, 1306, 1279, 607, 621, 7012, 1405, 29382, 307, 563, 763, 3364, 602, 26208, 803, 827, 2413, 6214, 568, 875, 1454, 13842, 972, 568, 269, 594, 4898, 952, 621, 729, 2141, 713, 3983, 267, 610, 952, 519, 4950, 1175, 31438, 513, 1769, 593, 1018, 729, 2141, 972, 563, 2005, 2731, 729, 711, 2141, 899, 713, 269, 2311, 782, 563, 5278, 1004, 16620, 519, 4473, 540, 476, 2190, 3108, 10814, 3377, 9055, 269, 11524, 16620, 519, 4473, 540, 519, 5769, 269, 5637, 540, 891, 723, 547, 798, 609, 22412, 908, 811, 1344, 547, 811, 1004, 269, 1772, 621, 519, 1249, 602, 972, 568, 811, 1344, 630, 31642, 640, 264, 610, 568, 519, 1344, 3294, 630, 638, 1275, 25145, 6546, 779, 1434, 547, 917, 563, 296, 1810, 1406, 917, 267, 8726, 621, 568, 267, 594, 2731, 3138, 7752, 621, 269, 898, 779, 18374, 7543, 547, 723, 513, 7787, 4901, 827, 4376, 1644, 547, 6214, 269, 18421, 4667, 547, 632, 2102, 4733, 883, 31737, 3929, 7440, 2864, 982, 7234, 4890, 5013, 563, 296, 1589, 602, 781, 1317, 513, 264, 513, 2603, 540, 1004, 19951, 1589, 741, 4606, 3180, 811, 2956, 982, 18825, 3116, 781, 5013, 630, 719, 14141, 568, 513, 15265, 25129, 264, 543, 536, 264, 519, 5013, 2933, 723, 1831, 1447, 15889, 1317, 972, 4667, 547, 581, 513, 16221, 540, 5011, 547, 4376, 267, 609, 865, 1082, 2959, 8380, 741, 8095, 593, 1919, 602, 1256, 1175, 21945, 693, 513, 9243, 3490, 585, 606, 4661, 3217, 811, 4674, 982, 1004, 616, 8348, 270, 4754, 6488, 547, 13358, 269, 23883, 1317, 602, 4674, 814, 547, 581, 1163, 2105, 1996, 519, 7485, 540, 741, 1378, 12886, 267, 799, 723, 20335, 7168, 31737, 7064, 547, 519, 2228, 16079, 20830, 269, 15465, 4744, 28585, 568, 9688, 532, 267, 865, 1004, 1419, 1175, 9505, 1524, 543, 979, 883, 3929, 8396, 7154, 950, 5185, 609, 15852, 5784, 267, 1256, 950, 519, 5784, 616, 4843, 538, 513, 24534, 6073, 4534, 543, 6140, 267, 789, 616, 711, 267, 1317, 1946, 21898, 952, 519, 575, 5285, 568, 2907, 865, 1804, 543, 519, 1004, 593, 519, 824, 2427, 616, 5693, 18986, 1824, 563, 31800, 1695, 1134, 1394, 950, 13334, 3323, 18594, 1681, 7044, 11021, 513, 4276, 1063, 6171, 667, 10638, 543, 524, 10604, 621, 2968, 7168, 2312, 2053, 616, 711, 3226, 4957, 689, 8895, 773, 334, 779, 563, 27745, 596, 1683, 513, 2707, 5225, 286, 21518, 519, 7044, 1818, 6811, 602, 2921, 12192, 667, 1131, 2149, 1996, 5046, 610, 930, 824, 25749, 267, 610, 941, 789, 11307, 2954, 6158, 827, 9019, 3928, 540, 1346, 609, 642, 6185, 19518, 888, 296, 1589, 972, 568, 513, 2312, 3017, 538, 4357, 5867, 16069, 519, 3262, 540, 25749, 630, 9767, 5749, 1406, 1863, 547, 946, 741, 3760, 547, 3262, 1344, 5739, 547, 2486, 264, 543, 1018, 5949, 547, 31595, 563, 3719, 594, 993, 1818, 606, 13429, 1317, 594, 1810, 1406, 2965, 917, 1018, 7044, 596, 616, 13288, 547, 563, 290, 839, 1681, 286, 1546, 15065, 564, 1944, 6148, 855, 789, 798, 602, 609, 1169, 3381, 4304, 13044, 1100, 2339, 519, 9115, 563, 763, 1249, 602, 13334, 6818, 693, 782, 2982, 875, 1454, 1919, 723, 4957, 2094, 31595, 563, 285, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 454, 3963, 1131, 11686, 1489, 18965, 10074, 952, 646, 4769, 1406, 3494, 538, 5046, 543, 2257, 888, 5445, 917, 5046, 568, 1483, 543, 789, 3592, 6157, 3494, 538, 2257, 269, 1358, 1175, 1810, 1405, 1416, 952, 621, 3085, 1405, 1899, 741, 22836, 563, 13070, 872, 267, 855, 602, 3085, 1406, 6474 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3177, 602, 519, 3312, 960, 568, 5265, 11855, 563, 5472, 4930, 3370, 538, 4139, 6732, 4750, 540, 12729, 4065, 630, 22473, 297, 14154, 264, 616, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 476, 275, 269, 271, 4139, 17821, 630, 6717, 15760, 476, 275, 269, 271, 1916, 12179, 2417, 3892, 610, 946, 540, 1543, 3370, 896, 16671, 15760, 476, 275, 269, 271, 1590, 2270, 519, 2278, 4433, 264, 543, 519, 3370, 2376, 779, 2140, 267, 543, 4760, 11239, 269, 2353, 4930, 3370, 538, 594, 302, 297, 14154, 896, 513, 16671, 15760, 17821, 949, 581, 1031, 585, 7956, 543, 4578, 14086, 5301, 267, 1641, 547, 519, 2175, 540, 519, 16671, 15760, 17821, 2474, 269, 634, 12689, 2636, 585, 5010, 946, 269, 594, 302, 297, 14154, 2636, 556, 22852, 547, 15814, 267, 1121, 1460, 267, 3082, 267, 543, 1628, 2390, 519, 1570, 538, 1022, 5420, 610, 3898, 267, 865, 1279, 607, 5316, 1081, 568, 2016, 547, 519, 17082, 563, 763, 4760, 779, 6662, 568, 547, 22412, 622, 4930, 3370, 616, 1863, 269, 7201, 519, 11300, 12780, 12689, 630, 6717, 15760, 476, 275, 269, 876, 1070, 519, 4760, 2636, 519, 3593, 547, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 543, 1256, 946, 519, 8313, 585, 5010, 2238, 267, 3177, 602, 519, 3312, 960, 568, 5265, 11855, 563, 15411, 1569, 568, 606, 1935, 602, 552, 1162, 519, 15834, 2792, 543, 7512, 9316, 1851, 1114, 10459, 269, 594, 302, 297, 14154, 267, 4061, 267, 8309, 547, 922, 1378, 2361, 676, 3246, 811, 1569, 547, 922, 4930, 543, 513, 811, 12001, 2689, 1184, 269, 0, 7212, 26637, 658, 8316, 25079, 5206, 634, 25753, 2280, 14594, 538, 519, 1647, 540, 519, 13524, 2540, 267, 646, 5206, 621, 1210, 513, 2511, 543, 1641, 2339, 602, 8308, 10630, 519, 16431, 543, 1259, 540, 1272, 540, 2038, 21152, 538, 8830, 11939, 19899, 1663, 10642, 1715, 4789, 269, 2755, 930, 540, 519, 2035, 3769, 538, 519, 1650, 949, 581, 2352, 547, 1174, 950, 3168, 693, 873, 689, 513, 2413, 1448, 540, 2070, 267, 950, 891, 1919, 616, 5116, 538, 741, 3140, 2796, 267, 789, 1831, 1454, 4443, 547, 1174, 269, 1280, 1383, 267, 519, 2856, 602, 670, 6856, 1223, 711, 1175, 2196, 1055, 609, 1234, 3164, 526, 17435, 6996, 23014, 4667, 10169, 21173, 547, 519, 2413, 1158, 1317, 1352, 22821, 1406, 2938, 1200, 9393, 2094, 1352, 2451, 4789, 543, 4769, 1406, 1616, 547, 19533, 1864, 547, 2253, 609, 563, 2171, 786, 2328, 513, 2688, 3194, 7433, 593, 634, 3778, 19992, 634, 25753, 2280, 14594, 281, 1259, 540, 1272, 540, 2038, 21152, 538, 8830, 11939, 19899, 1663, 10642, 1715, 4789, 4481, 585, 596, 454, 3199, 278, 14468, 5830, 2228, 454, 9213, 779, 1158, 1131, 711, 723, 513, 1966, 609, 513, 4807, 945, 2451, 1200, 9393, 896, 1447, 593, 2730, 6381, 563, 4913, 267, 519, 8830, 11939, 2486, 538, 799, 670, 6856, 729, 9277, 547, 723, 5030, 1131, 723, 2808, 713, 513, 2481, 333, 762, 25213, 543, 1131, 8209, 26723, 2350, 1125, 670, 6856, 689, 782, 30251, 2486, 585, 519, 1964, 540, 1200, 1272, 267, 7488, 540, 1018, 3116, 1352, 1705, 269, 1677, 1174, 713, 2796, 267, 1287, 267, 621, 568, 2556, 547, 1413, 693, 519, 3909, 267, 1514, 267, 543, 2825, 2188, 602, 11658, 670, 6856, 538, 519, 476, 8182, 271, 338, 563, 303, 584, 11939, 1143, 9598, 730, 1175, 827, 3388, 3238, 538, 7810, 1272, 538, 476, 8182, 271, 338, 1715, 4789, 267, 1256, 1519, 875, 1004, 14437, 609, 1142, 824, 267, 875, 789, 21039, 267, 543, 1018, 2186, 540, 3347, 789, 1185, 269, 968, 1103, 1840, 547, 18468, 538, 519, 6207, 16285, 540, 2696, 267, 519, 2698, 1244, 571, 6143, 540, 812, 267, 543, 519, 2347, 13829, 540, 1480, 7919, 593, 10143, 11419, 585, 20778, 267, 789, 14129, 519, 2956, 540, 2123, 3909, 1995, 892, 630, 289, 578, 6577, 267, 476, 1220, 275, 1040, 5221, 540, 713, 4276, 547, 2123, 3909, 1995, 267, 670, 6856, 6785, 1352, 1131, 711, 581, 2111, 547, 2196, 2476, 689, 1200, 7365, 642, 3298, 547, 19533, 1776, 1256, 952, 1352, 1705, 12701, 873, 538, 1200, 2078, 547, 1234, 3164, 526, 17435, 6996, 23014, 269, 1306, 513, 8830, 11939, 9887, 267, 1352, 1185, 547, 2611, 538, 519, 8498, 607, 513, 9310, 4807, 607, 729, 8815, 2390, 538, 1200, 7365, 547, 3220, 269, 623, 787, 333, 928, 267, 513, 6390, 23011, 932, 3739, 10290, 267, 2394, 1352, 1185, 21533, 602, 646, 729, 21549, 563, 12179, 2251, 1447, 1131, 723, 26991, 1200, 1378, 4155, 547, 20778, 1256, 1498, 1352, 1185, 711, 9310, 1864, 32380, 269, 2755, 621, 568, 1419, 2653, 547, 14487, 670, 6856, 779, 7965, 547, 1200, 2486, 4805, 267, 621, 1590, 581, 15422, 602, 670, 6856, 9887, 729, 513, 1825, 591, 538, 519, 8830, 11939, 4984, 269, 4495, 670, 6856, 779, 5728, 729, 856, 267, 621, 729, 6654, 547, 519, 3003, 8498, 602, 670, 6856, 729, 711, 3177, 609, 519, 1482, 4110, 540, 5132, 607, 519, 1964, 540, 519, 27142, 543, 729, 4061, 513, 3152, 5609, 1676, 269, 1677, 3094, 1200, 1747, 538, 13140, 267, 621, 729, 2556, 585, 1200, 547, 7985, 519, 9803, 4567, 593, 3618, 547, 798, 4050, 766, 585, 1200, 2250, 23339, 269, 4014, 670, 6856, 554, 919, 1200, 25243, 4484, 267, 1352, 31273, 621, 1312, 1317, 1352, 568, 18617, 1352, 814, 8149, 519, 10782, 5609, 267, 855, 849, 1317, 519, 2486, 538, 799, 1352, 2729, 786, 2760, 1450, 1200, 547, 7340, 602, 1352, 568, 519, 10782, 5609, 1676, 540, 873, 782, 269, 901, 568, 519, 2601, 670, 6856, 7024, 547, 1200, 2025, 1753, 538, 519, 1439, 267, 2921, 909, 1200, 16663, 543, 519, 25243, 4484, 2394, 1200, 2669, 563, 763, 8830, 30808, 4371, 513, 7453, 1514, 1931, 602, 3576, 883, 2272, 1142, 824, 779, 9228, 32660, 563, 11997, 267, 1346, 945, 941, 2808, 6251, 547, 2696, 1185, 513, 2362, 1514, 7584, 538, 2486, 689, 1346, 945, 941, 2808, 547, 581, 6251, 547, 5609, 269, 8729, 547, 519, 1650, 540, 14088, 543, 18832, 267, 2367, 941, 9228, 547, 581, 6251, 547, 2696, 982, 2021, 543, 3909, 2367, 941, 6251, 547, 2696, 982, 1346, 945, 5249, 519, 4610, 269, 968, 15987, 711, 519, 31097, 267, 1034, 10125, 538, 1715, 4789, 941, 13856, 676, 8830, 11939, 544, 2803, 543, 14985, 892, 630, 5141, 1046, 267, 476, 1960, 280, 1040, 4197, 713, 2306, 621, 4443, 547, 1294, 875, 1234, 3164, 526, 17435, 6996, 23014, 1223, 711, 581, 2938, 547, 581, 1997, 908, 5128, 609, 670, 6856, 1310, 23421, 729, 4535, 1317, 1352, 729, 513, 15468, 4807, 543, 646, 729, 519, 5207, 5837, 6392, 538, 519, 8498, 269, 1358, 3357, 689, 6587, 7475, 540, 519, 1514, 8552, 267, 835, 8204, 3665, 5609, 543, 519, 824, 8204, 10700, 32660, 269, 23421, 779, 6760, 729, 538, 3274, 1373, 4535, 269, 2701, 729, 4535, 1510, 513, 4651, 267, 538, 6654, 543, 26837, 4192, 18670, 540, 1200, 3993, 779, 16806, 642, 3298, 607, 1134, 607, 519, 2262, 540, 2696, 563, 12892, 569, 6340, 267, 713, 5921, 602, 1352, 729, 20109, 676, 519, 26881, 5128, 543, 729, 4061, 11515, 534, 543, 7938, 20564, 547, 12314, 609, 519, 824, 1453, 538, 519, 8498, 610, 547, 581, 5701, 609, 1022, 2186, 540, 8103, 676, 519, 824, 27142, 563, 4415, 782, 713, 10792, 2126, 540, 711, 1152, 9887, 267, 855, 849, 540, 1200, 1126, 267, 621, 568, 2352, 585, 513, 1268, 538, 2413, 2053, 547, 1174, 1946, 670, 6856, 4769, 1406, 1175, 3640, 909, 543, 4734, 585, 1776, 4884, 563, 1607, 568, 538, 1804, 851, 1317, 540, 519, 6639, 8441, 540, 519, 942, 543, 519, 22524, 11163, 519, 10125, 1185, 609, 835, 1776, 269, 16690, 625, 941, 711, 8209, 865, 9674, 689, 1142, 824, 547, 519, 1448, 602, 670, 6856, 1223, 711, 723, 1500, 519, 3460, 547, 519, 1985, 4884, 593, 1200, 1378, 269, 1717, 267, 952, 1352, 1185, 267, 972, 729, 1100, 10018, 602, 972, 1131, 581, 513, 1753, 7996, 585, 1200, 547, 1847, 883, 269, 968, 19465, 5321, 543, 9591, 11396, 2838, 14021, 543, 1419, 1394, 12577, 547, 559, 892, 630, 297, 2158, 267, 476, 6977, 274, 1070, 2495, 8259, 513, 7385, 729, 4397, 267, 972, 729, 1100, 2601, 585, 513, 1753, 547, 581, 7555, 8900, 32261, 513, 4557, 656, 269, 1717, 267, 1256, 1185, 1352, 7753, 602, 21677, 267, 4123, 602, 11478, 1063, 519, 8830, 11939, 10125, 1131, 723, 24458, 1200, 25243, 4484, 1131, 723, 4553, 1200, 1100, 2339, 1141, 1352, 4682, 607, 1279, 607, 1352, 18423, 1369, 1200, 3909, 5943, 269, 769, 1840, 267, 21152, 1336, 621, 2556, 547, 7048, 2390, 1142, 824, 585, 32351, 998, 519, 1279, 267, 4411, 24475, 540, 519, 1715, 4789, 1604, 563, 2108, 6124, 4789, 619, 7960, 606, 6946, 1357, 540, 22524, 11163, 547, 2743, 519, 3747, 585, 4074, 267, 2324, 585, 12543, 945, 4421, 741, 4074, 538, 2132, 892, 630, 297, 2158, 267, 476, 6977, 274, 1040, 4014, 670, 6856, 779, 6760, 729, 2808, 835, 540, 519, 10782, 10963, 602, 1223, 581, 8149, 267, 621, 1131, 711, 723, 6039, 519, 12733, 547, 723, 1200, 19526, 2476, 538, 7890, 267, 6862, 1131, 621, 723, 1044, 2009, 585, 1200, 547, 723, 32206, 1200, 1272, 11992, 269, 7053, 267, 621, 729, 2808, 2556, 585, 21152, 267, 2523, 4775, 21152, 267, 547, 6529, 2673, 547, 519, 11175, 607, 513, 2268, 547, 2149, 2933, 1996, 7654, 20935, 12075, 269, 901, 568, 2938, 538, 634, 25753, 2280, 14594, 607, 621, 3587, 10423, 602, 23011, 623, 787, 333, 928, 729, 1033, 7134, 689, 556, 14765, 1456, 1010, 7385, 1317, 646, 1185, 1044, 9676, 676, 12075, 543, 1185, 1152, 5063, 17956, 1010, 5305, 1354, 588, 22824, 883, 30561, 563, 27916, 24071, 676, 891, 2825, 4145, 540, 2713, 538, 513, 23661, 569, 20651, 1007, 12733, 538, 519, 19069, 267, 519, 14461, 1514, 15796, 543, 519, 1256, 31749, 28975, 540, 8830, 11939, 1143, 607, 621, 729, 13736, 1312, 676, 519, 27142, 543, 5156, 676, 670, 6856, 9887, 267, 972, 729, 2370, 4781, 2429, 519, 1650, 585, 1022, 824, 6364, 269, 634, 3490, 6712, 540, 1480, 2470, 4547, 670, 6856, 543, 1234, 3164, 526, 17435, 6996, 23014, 1927, 1317, 540, 741, 20420, 543, 741, 2067, 1480, 16007, 563, 4913, 267, 519, 2362, 10912, 540, 741, 4984, 267, 2486, 267, 543, 1604, 8209, 6854, 873, 6306, 269, 16874, 1175, 835, 540, 891, 2609, 1044, 1114, 267, 519, 6364, 1522, 723, 1044, 1454, 1114, 269, 8316, 25079, 13978, 3020, 547, 519, 3332, 540, 519, 1974, 676, 9306, 513, 1650, 602, 1312, 7710, 1480, 2470, 607, 1945, 30758, 585, 9409, 543, 602, 20205, 513, 28005, 517, 540, 12204, 3823, 1018, 621, 3217, 547, 2661, 513, 2048, 16591, 1272, 563, 289, 578, 6577, 267, 8361, 2782, 1676, 269, 968, 13563, 8830, 11939, 1143, 1848, 476, 1220, 275, 269, 5617, 10079, 269, 5680, 563, 7476, 707, 1101, 1957, 609, 476, 1428, 260, 5508, 293, 454, 5141, 1046, 267, 7812, 623, 269, 968, 303, 584, 11939, 1143, 1848, 15610, 540, 1977, 9085, 269, 24697, 681, 269, 5395, 2378, 514, 1299, 21238, 645, 21043, 523, 630, 32295, 12175, 1715, 3840, 281, 8033, 10840, 23255, 267, 476, 1960, 280, 267, 6032, 269, 476, 280, 2641, 268, 2190, 269, 5680, 563, 295, 1177, 25079, 267, 26637, 1408, 269, 634, 25753, 2280, 14594, 269, 1715, 3840, 281, 21238, 623, 269, 12928, 641, 325, 267, 476, 1960, 273, 563, 297, 2158, 267, 2806, 1676, 667, 636, 2632, 269, 968, 290, 9051, 631, 1430, 1848, 634, 16503, 3603, 1977, 22335, 269, 1715, 3840, 281, 808, 269, 29859, 543, 7577, 267, 476, 6977, 274, 267, 533, 269, 476, 6795, 269, 5680, 269, 0, 20779, 1815, 565, 322, 710, 630, 9188, 659, 25485, 332, 14007, 3712, 577, 21778, 264, 568, 835, 540, 513, 1297, 540, 30175, 6950, 799, 723, 1044, 9678, 689, 519, 2030, 2051, 577, 32337, 15489, 1446, 267, 799, 568, 849, 519, 2707, 540, 897, 577, 21778, 269, 634, 3114, 2497, 540, 1629, 1815, 565, 322, 710, 15320, 689, 897, 577, 21778, 1152, 538, 602, 513, 18861, 1895, 30283, 519, 1035, 25485, 1895, 693, 519, 715, 2990, 540, 519, 897, 577, 21778, 11140, 630, 8993, 269, 476, 272, 1040, 272, 267, 273, 454, 19617, 2730, 2090, 540, 519, 14278, 1670, 2360, 540, 713, 3075, 538, 2831, 723, 1044, 4080, 269, 272, 267, 274, 268, 276, 898, 814, 1044, 1031, 538, 13066, 540, 476, 274, 547, 476, 736, 8406, 269, 3232, 585, 519, 2126, 540, 2550, 609, 5312, 24869, 18100, 26679, 543, 824, 683, 31129, 3676, 269, 30887, 14528 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23409, 2890, 23054, 540, 8830, 7219, 16660, 11409, 630, 2775, 4544, 264, 538, 519, 6147, 31616, 269, 715, 2925, 2281, 540, 519, 2634, 957, 15217, 547, 1184, 1344, 2877, 585, 1697, 5042, 8647, 269, 630, 290, 13072, 281, 19378, 717, 338, 577, 1889, 1170, 1676, 13478, 7220, 17421, 7732, 270, 2704, 18081, 14351, 17421, 994, 307, 3757, 7611, 689, 519, 9018, 851, 540, 513, 3911, 559, 1314, 3597, 267, 20515, 513, 5394, 2914, 6817, 3834, 25866, 529, 630, 1410, 25866, 529, 264, 9944, 519, 28603, 529, 269, 2290, 3834, 25866, 531, 1591, 568, 711, 5394, 2989, 269, 630, 5475, 918, 269, 10507, 879, 267, 7233, 22845, 267, 476, 273, 323, 1196, 1421, 3627, 25067, 543, 25860, 267, 476, 3422, 276, 994, 306, 1122, 7695, 540, 7799, 15252, 25168, 1335, 639, 269, 769, 935, 5477, 2963, 6920, 602, 972, 616, 476, 1428, 12415, 630, 277, 538, 519, 5294, 5448, 267, 476, 280, 538, 519, 1566, 626, 327, 657, 5448, 1040, 634, 512, 15625, 630, 311, 309, 264, 949, 581, 513, 12363, 12636, 602, 814, 1831, 13994, 4327, 543, 814, 11368, 519, 606, 639, 883, 922, 3490, 269, 0, 21609, 1439, 9734, 618, 4016, 547, 17543, 8380, 513, 1126, 267, 540, 2085, 476, 1240, 1296, 610, 896, 267, 693, 1981, 269, 634, 8594, 949, 4125, 2168, 610, 5626, 2800, 269, 4132, 1439, 9734, 618, 568, 9286, 1851, 3978, 21688, 23888, 269, 9197, 1307, 602, 666, 581, 9286, 607, 1126, 1439, 9734, 618, 666, 1331, 513, 1297, 540, 1114, 5615, 269, 13689, 2390, 519, 10335, 540, 519, 25213, 267, 519, 1644, 10997, 666, 581, 21688, 3415, 610, 3765, 12047, 6756, 528, 563, 6826, 6409, 12542, 2334, 2052, 581, 3117, 30872, 607, 4132, 7736, 9734, 618, 454, 2467, 616, 513, 2647, 3099, 540, 5615, 602, 666, 581, 9286, 607, 519, 6760, 540, 1126, 1439, 9734, 618, 269, 589, 1592, 540, 891, 5615, 568, 2016, 607, 896, 912, 268, 2142, 908, 513, 1126, 16094, 454, 268, 2806, 9646, 532, 513, 1126, 538, 513, 19526, 1286, 693, 513, 3905, 1747, 454, 268, 3502, 5265, 8023, 519, 1126, 454, 268, 18227, 10363, 5061, 1369, 519, 3914, 540, 519, 1126, 454, 268, 670, 9879, 513, 1126, 2618, 10999, 998, 1022, 1259, 454, 21609, 1439, 9734, 618, 666, 1267, 689, 513, 3099, 540, 1114, 2081, 269, 4107, 569, 267, 1126, 1439, 9734, 618, 568, 2808, 547, 2049, 1152, 998, 2168, 1439, 9734, 618, 269, 23299, 540, 513, 2385, 547, 1683, 1010, 610, 1200, 1126, 609, 930, 540, 519, 2596, 1272, 29476, 568, 849, 2808, 607, 6411, 540, 1126, 1439, 9734, 618, 269, 1280, 3236, 267, 519, 30671, 540, 513, 2385, 547, 1683, 1010, 610, 1200, 1126, 609, 6646, 538, 2053, 540, 19210, 786, 581, 9286, 607, 1126, 1439, 9734, 618, 269, 1773, 5217, 513, 1126, 538, 606, 1604, 1141, 646, 610, 1352, 786, 581, 693, 1761, 1981, 568, 849, 2808, 1126, 1439, 9734, 618, 563, 303, 6372, 31664, 540, 4132, 7736, 9734, 618, 454, 763, 10997, 602, 786, 581, 5185, 676, 2576, 15034, 540, 1126, 1439, 9734, 618, 786, 2901, 581, 3765, 12047, 6756, 528, 610, 21688, 3415, 269, 769, 2665, 1141, 519, 1126, 1705, 711, 3068, 1022, 1981, 540, 15629, 2800, 610, 2669, 267, 519, 1055, 2658, 786, 581, 9901, 609, 513, 3765, 12047, 6756, 528, 543, 646, 610, 1352, 786, 723, 547, 3068, 20507, 971, 607, 454, 268, 1955, 1440, 2581, 618, 540, 909, 547, 513, 1032, 454, 268, 11525, 566, 540, 827, 2185, 1296, 454, 268, 589, 5386, 540, 1269, 1911, 271, 454, 1103, 2665, 1141, 1126, 1439, 9734, 618, 3238, 513, 1981, 540, 1390, 15629, 2800, 610, 2669, 540, 519, 1126, 267, 519, 1055, 2658, 786, 581, 9901, 609, 513, 21688, 3415, 269, 1261, 610, 1352, 786, 723, 547, 3068, 20507, 602, 616, 513, 2603, 811, 4049, 269, 634, 20507, 616, 5018, 607, 896, 912, 268, 1955, 1440, 2581, 618, 540, 909, 547, 3670, 1296, 454, 268, 11525, 566, 540, 693, 2547, 2185, 1296, 454, 268, 589, 5386, 540, 909, 547, 1269, 1015, 267, 1822, 454, 5278, 821, 9901, 609, 1126, 1439, 9734, 618, 1058, 3346, 606, 18607, 4810, 538, 7803, 8878, 547, 1118, 2386, 602, 741, 2924, 616, 6870, 563, 303, 6372, 13751, 4347, 5151, 18830, 4132, 7736, 9734, 618, 454, 2252, 2576, 568, 15034, 540, 1126, 1439, 9734, 618, 267, 646, 610, 1352, 1058, 3346, 606, 18607, 4810, 538, 7803, 8878, 1317, 606, 4810, 1920, 1876, 18607, 1131, 723, 606, 2856, 540, 875, 1126, 1439, 9734, 618, 2665, 616, 11567, 543, 2322, 593, 4693, 269, 11109, 1702, 827, 519, 8878, 540, 1126, 1439, 9734, 618, 2665, 666, 948, 2576, 1205, 856, 540, 519, 10997, 269, 2368, 3656, 23640, 602, 666, 6961, 5363, 1996, 1126, 1439, 9734, 618, 10997, 1331, 912, 268, 634, 1367, 15034, 540, 1126, 1439, 9734, 618, 1705, 711, 798, 621, 609, 8247, 540, 31362, 519, 1126, 454, 268, 634, 2385, 15034, 540, 1126, 1439, 9734, 618, 729, 9117, 1369, 519, 2924, 547, 9015, 1010, 610, 1200, 1126, 454, 268, 634, 1367, 729, 15034, 632, 1061, 1947, 454, 268, 634, 15034, 1268, 729, 711, 519, 835, 3743, 585, 519, 1126, 610, 1010, 17017, 1439, 9734, 618, 454, 2252, 596, 610, 513, 6068, 835, 616, 6849, 10997, 585, 513, 3765, 12047, 6756, 528, 267, 21688, 3415, 267, 610, 667, 21397, 25213, 3346, 17865, 8235, 4975, 7803, 8878, 18607, 11023, 1066, 23821, 8636, 2221, 269, 0, 288, 2518, 12504, 2257, 3760, 454, 1729, 3605, 267, 2671, 543, 2697, 7320, 454, 289, 520, 8127, 723, 3376, 267, 6366, 9843, 267, 28489, 4703, 543, 513, 8720, 540, 561, 7927, 543, 838, 1149, 269, 1358, 616, 4057, 7669, 11302, 543, 2356, 3802, 593, 519, 26026, 539, 593, 5394, 267, 1850, 899, 533, 624, 7394, 543, 23856, 27634, 269, 590, 9231, 593, 519, 4262, 5377, 593, 741, 27634, 267, 789, 1413, 899, 10627, 12209, 267, 8754, 519, 1455, 2012, 563, 4322, 5961, 941, 3144, 1079, 5094, 1296, 693, 519, 9791, 4173, 517, 15167, 538, 8419, 269, 634, 1101, 10627, 8127, 729, 19481, 5147, 476, 1001, 272, 543, 519, 2034, 267, 4873, 476, 1001, 273, 269, 0, 27269, 708, 18469, 855, 2760, 3160, 539, 267, 3967, 8709, 29431, 1188, 630, 322, 269, 476, 16928, 271, 268, 13893, 272, 264, 2451, 606, 30170, 12705, 593, 11193, 1148, 543, 21490, 519, 1259, 585, 2104, 1483, 626, 26719, 269, 2060, 922, 13778, 8856, 543, 4487, 995, 946, 540, 2681, 267, 634, 23172, 6504, 7236, 5800, 11681, 267, 18995, 519, 16806, 540, 513, 1762, 7008, 267, 568, 15266, 547, 519, 17117, 540, 674, 12661, 880, 18048, 267, 6205, 540, 519, 7216, 13291, 1633, 3427, 269, 11709, 29431, 1188, 13556, 1312, 16712, 543, 3909, 1641, 6927, 267, 10771, 513, 7849, 1143, 543, 30527, 602, 6410, 16900, 1063, 476, 1428, 628, 2540, 4948, 1272, 543, 19621, 267, 31676, 5468, 269, 11554, 609, 3282, 5862, 267, 646, 3048, 730, 519, 5420, 267, 3850, 585, 1390, 8515, 543, 3178, 540, 2681, 563, 9199, 576, 519, 7376, 779, 11141, 522, 324, 12320, 516, 538, 713, 2182, 16225, 5619, 540, 1010, 960, 267, 1519, 26749, 20355, 267, 2582, 8470, 3909, 5515, 267, 543, 20827, 23609, 269, 3171, 520, 1005, 23762, 3877, 543, 2673, 9382, 540, 25704, 899, 634, 717, 5782, 16816, 541, 267, 713, 8313, 849, 3091, 513, 12225, 1108, 540, 8709, 29431, 1188, 779, 2504, 267, 1519, 519, 3977, 540, 1010, 13186, 799, 4797, 1256, 1310, 1010, 2669, 269, 0, 16829, 676, 964, 743, 777, 558, 580, 5988, 476, 1724, 267, 476, 1708, 271, 454, 3383, 607, 547, 9585, 713, 267, 646, 3580, 1616, 547, 4137, 856, 519, 2347, 1297, 540, 15028, 4093, 936, 519, 2949, 4093, 2009, 269, 6875, 513, 1413, 693, 519, 3670, 5185, 5884, 602, 568, 2016, 2630, 269, 10251, 267, 23842, 519, 2347, 1957, 7569, 606, 589, 2464, 15376, 563, 289, 12396, 568, 519, 1034, 4749, 1031, 1935, 269, 5291, 2517, 338, 3234, 15843, 1146, 3225, 760, 906, 2593, 270, 1001, 280, 270, 5400, 270, 1428, 270, 1492, 22190, 7002, 6361, 1532, 652, 1790, 1653, 2914, 761, 619, 16519, 12258, 5076, 270, 7151, 634, 11201, 540, 1403, 596, 798, 707, 6780, 267, 596, 5749, 1406, 2469, 547, 581, 27052, 568, 1403, 596, 1810, 1406, 798, 707, 6780, 267, 596, 3580, 581, 27052, 269, 9119, 585, 513, 9015, 563, 2690, 513, 1906, 540, 596, 267, 713, 1505, 540, 3206, 610, 6061, 2042, 616, 2469, 547, 581, 707, 3804, 269, 1717, 2094, 594, 1353, 513, 3395, 1297, 540, 13004, 538, 6280, 621, 5654, 899, 519, 12166, 20932, 3884, 1406, 1360, 5363, 538, 6476, 547, 6061, 2042, 543, 1620, 519, 15997, 547, 4020, 20932, 269, 901, 568, 513, 1390, 7848, 540, 1148, 543, 2979, 2336, 763, 11135, 3683, 10348, 540, 9119, 543, 1215, 547, 12736, 898, 454, 3383, 607, 547, 9585, 713, 267, 646, 3580, 1616, 547, 4137, 856, 519, 2347, 1297, 540, 15028, 4093, 936, 519, 2949, 4093, 2009, 269, 2598, 4740, 3615, 666, 4749, 581, 18886, 1210, 9981, 269, 769, 930, 8320, 789, 786, 4440, 8428, 689, 1880, 8847, 602, 596, 2461, 2907, 31235, 609, 563, 288, 1016, 23054, 540, 717, 602, 779, 513, 3102, 3113, 568, 1634, 607, 513, 804, 1664, 267, 543, 972, 779, 606, 2404, 21370, 9936, 269, 634, 1931, 1141, 519, 14622, 616, 10272, 616, 1271, 543, 1223, 4096, 2390, 519, 5690, 610, 2243, 602, 596, 2461, 6061, 269, 4634, 4610, 899, 1297, 3069, 602, 616, 513, 851, 540, 6986, 6128, 616, 693, 1459, 2565, 538, 3156, 630, 3697, 25563, 1070, 4352, 789, 5749, 1406, 3622, 2219, 540, 607, 851, 540, 519, 1858, 540, 4294, 6128, 829, 694, 563, 12385, 24136, 814, 17820, 606, 538, 1410, 9151, 1043, 4390, 547, 22113, 18125, 540, 519, 7122, 799, 723, 1044, 27972, 8898, 538, 9814, 269, 5291, 2517, 11357, 7806, 629, 1002, 339, 778, 776, 320, 2593, 270, 1001, 280, 270, 1015, 270, 1015, 270, 6866, 1532, 4078, 2389, 1245, 3613, 1559, 6823, 1532, 652, 2389, 4185, 1790, 1653, 2914, 3876, 28129, 6253, 520, 3917, 537, 16250, 539, 3562, 22345, 270, 898, 30242, 547, 9004, 1022, 10539, 602, 949, 581, 513, 1267, 540, 519, 13112, 340, 8864, 540, 519, 6986, 1893, 269, 5440, 1108, 568, 9247, 513, 1505, 540, 1620, 5546, 563, 21206, 1344, 3823, 10348, 779, 2160, 666, 581, 4092, 593, 519, 20513, 5589, 8816, 618, 543, 8081, 3135, 269, 1677, 10508, 538, 1010, 9413, 267, 3627, 2306, 519, 3375, 547, 1931, 513, 16741, 563, 763, 17023, 18266, 6168, 10348, 540, 9119, 454, 12024, 602, 596, 3580, 581, 538, 513, 2990, 547, 1118, 8415, 519, 9205, 2230, 811, 5781, 2094, 596, 666, 6157, 2932, 7899, 540, 4305, 1510, 17596, 547, 3251, 18284, 519, 3905, 1210, 3141, 513, 2603, 540, 519, 4090, 269, 2334, 779, 519, 3148, 693, 799, 596, 786, 1616, 5291, 2517, 27273, 16347, 327, 1515, 16691, 11486, 340, 3539, 1532, 652, 2275, 2396, 268, 22967, 2914, 761, 619, 270, 547, 6108, 519, 2681, 607, 621, 786, 581, 2111, 547, 960, 1134, 538, 519, 3148, 799, 2356, 1797, 596, 616, 2469, 547, 581, 2111, 547, 946, 621, 1472, 2009, 269, 1656, 1280, 267, 972, 616, 476, 279, 2409, 547, 2824, 519, 1360, 1101, 267, 476, 278, 2409, 547, 4584, 519, 2034, 267, 543, 476, 277, 2409, 547, 1904, 585, 519, 3791, 563, 20877, 7801, 568, 5702, 5532, 547, 519, 2856, 540, 606, 4830, 1305, 269, 1879, 596, 723, 715, 1004, 543, 596, 6999, 547, 1451, 875, 1082, 12417, 972, 616, 585, 782, 540, 891, 267, 621, 779, 1175, 715, 27353, 610, 715, 256, 634, 1592, 1223, 979, 593, 563, 1692, 547, 5192, 29035, 609, 10348, 540, 9119, 888, 763, 22951, 1938, 799, 1118, 909, 513, 1268, 779, 5027, 5749, 1406, 7429, 606, 22329, 267, 2094, 789, 798, 8197, 3589, 18825, 779, 22038, 269, 1306, 513, 12343, 267, 519, 2338, 476, 271, 543, 476, 1015, 5749, 1406, 7396, 607, 2609, 1369, 713, 1305, 269, 634, 3099, 540, 971, 4816, 8424, 13292, 519, 3003, 1297, 540, 8424, 538, 519, 2250, 5108, 563, 9169, 303, 3009, 568, 4922, 2139, 593, 519, 4950, 1519, 717, 603, 889, 269, 11374, 713, 2417, 3059, 4550, 268, 8932, 2084, 267, 519, 3606, 14950, 3429, 5439, 616, 1175, 16207, 2476, 269, 3143, 824, 5907, 3926, 1223, 581, 1031, 563, 2690, 3236, 267, 519, 5022, 538, 519, 2165, 9409, 666, 581, 22198, 6548, 547, 1711, 1654, 559, 610, 2661, 269, 634, 1367, 945, 11540, 713, 2243, 568, 513, 3044, 14745, 540, 513, 13680, 1399, 540, 561, 748, 344, 2979, 2069, 269, 634, 3020, 2626, 568, 789, 4769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 524, 4118, 692, 320, 815, 10581, 454, 321, 815, 10581, 454, 322, 815, 10581, 454, 345, 815, 8771, 692, 6112, 711, 1990, 912, 825, 2119, 912, 1038, 513, 815, 10581, 9272, 3488, 303, 617, 1690, 513, 281, 1412, 4917, 1038, 536, 815, 10581, 9272, 3488, 303, 617, 1690, 536, 281, 1412, 4917, 1038, 524, 815, 10581, 9272, 3488, 303, 617, 1690, 524, 281, 1412, 4917, 1038, 1990, 815, 6936, 454, 825, 4849, 912, 1038, 1820, 2891, 303, 617, 1690, 538, 928, 25449, 334, 23410, 857, 10590, 2020, 604, 630, 320, 2652, 476, 271, 2187, 825, 952, 630, 321, 2652, 476, 271, 2187, 1038, 952, 630, 322, 2652, 476, 271, 2187, 2018, 1820, 2891, 305, 6759, 1233, 1014, 773, 547, 385, 376, 338, 30790, 23410, 857, 578, 324, 5602, 1038, 3116, 912, 2018, 1820, 2891, 305, 6759, 1233, 534, 773, 16204, 345, 1815, 345, 928, 5602, 825, 3116, 912, 1038, 1820, 2891, 305, 6759, 1233, 534, 773, 561, 7236, 578, 324, 522, 887, 345, 342, 27927, 8643, 340, 1535, 284, 2580, 524, 1315, 536, 2020, 12828, 912, 825, 546, 815, 630, 321, 2608, 536, 264, 910, 630, 275, 2608, 513, 2608, 524, 2020, 825, 952, 546, 2652, 476, 271, 912, 1038, 1535, 1321, 815, 11196, 321, 1315, 630, 273, 2608, 513, 4917, 1038, 1820, 3488, 343, 272, 270, 273, 815, 2715, 271, 348, 29717, 8971, 3287, 1321, 11723, 825, 952, 546, 11203, 476, 271, 912, 1038, 1535, 272, 815, 11196, 321, 910, 524, 4118, 28460, 5560, 4297, 1315, 630, 273, 2608, 513, 994, 1038, 1535, 273, 815, 11196, 321, 1341, 524, 4118, 28460, 5560, 4297, 1315, 630, 273, 2608, 513, 994, 1038, 1820, 3488, 343, 272, 815, 2715, 271, 9574, 1535, 273, 815, 2715, 272, 348, 8339, 8971, 3287, 272, 267, 1535, 273, 4917, 0, 5228, 670, 836, 2006, 4131, 614, 1104, 670, 836, 2006, 4131, 614, 692, 5228, 13793, 2006, 318, 583, 2812, 1104, 1305, 29999, 7531, 5035, 670, 836, 2006, 17504, 912, 825, 2262, 18316, 815, 1412, 25901, 17902, 28847, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 5320, 281, 1592, 314, 295, 836, 2006, 4131, 614, 316, 815, 1305, 29999, 263, 295, 836, 2006, 17504, 269, 5320, 18316, 994, 1038, 1582, 3052, 340, 612, 539, 815, 8771, 692, 825, 1219, 1205, 29999, 318, 11898, 4311, 264, 9847, 1193, 912, 1038, 2262, 815, 11713, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 2262, 6910, 263, 12072, 269, 5891, 318, 12072, 318, 11898, 31156, 1038, 2132, 1412, 29717, 21860, 9852, 777, 19304, 267, 2262, 11723, 825, 1219, 1205, 29999, 4311, 264, 9847, 1193, 912, 1038, 2262, 815, 11713, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 2262, 6910, 263, 12072, 269, 5891, 318, 12072, 31156, 1038, 2132, 1412, 29717, 21860, 9852, 777, 19304, 267, 2262, 11723, 825, 1219, 9337, 29999, 4311, 267, 4484, 264, 9847, 536, 944, 912, 1038, 1007, 318, 24987, 815, 11713, 1038, 2953, 318, 12072, 815, 8771, 454, 1038, 1948, 3619, 998, 1142, 4484, 543, 1305, 547, 3020, 454, 1038, 585, 13793, 318, 12072, 538, 1582, 269, 5320, 912, 2018, 952, 13793, 318, 12072, 269, 12072, 2652, 4484, 912, 3546, 13793, 318, 12072, 20481, 815, 6936, 454, 3546, 2953, 318, 12072, 815, 6936, 454, 2018, 1007, 318, 24987, 6910, 22607, 836, 318, 12072, 994, 1038, 1582, 269, 5320, 815, 1007, 318, 24987, 454, 1038, 1582, 15630, 318, 29674, 539, 4590, 1038, 2132, 2953, 318, 12072, 692, 825, 1219, 1293, 318, 8145, 8724, 4311, 264, 9847, 703, 912, 1038, 1293, 815, 476, 271, 454, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 952, 711, 4484, 20481, 912, 3546, 1293, 6834, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 1293, 4671, 4973, 4311, 264, 9847, 703, 912, 1038, 2132, 7003, 4311, 269, 5320, 2020, 825, 1219, 1305, 318, 29674, 539, 4311, 2187, 1038, 952, 1582, 29644, 318, 8145, 8724, 3890, 2652, 476, 271, 912, 2018, 1582, 3052, 340, 612, 539, 815, 6936, 454, 0, 5814, 11885, 607, 5286, 5897, 258, 476, 273, 269, 273, 11822, 9266, 5547, 5897, 258, 476, 273, 269, 274, 6388, 540, 3131, 1061, 1258, 5897, 258, 476, 273, 269, 274, 269, 272, 2241, 6388, 1477, 18257, 1477, 3698, 6730, 3287, 272, 21726, 273, 8029, 825, 530, 272, 267, 342, 273, 267, 9064, 284, 271, 269, 276, 267, 271, 269, 276, 267, 271, 269, 278, 1477, 825, 31575, 24210, 272, 265, 342, 272, 21147, 273, 265, 342, 273, 1477, 825, 952, 31575, 10922, 23940, 6769, 1038, 2132, 476, 271, 1477, 825, 8640, 31575, 3436, 23940, 6769, 1038, 2132, 476, 272, 5897, 2745, 2891, 13263, 263, 271, 267, 271, 264, 14744, 2745, 263, 13263, 263, 271, 267, 271, 264, 10142, 2745, 2891, 13263, 263, 271, 267, 272, 264, 14744, 2745, 263, 13263, 263, 271, 267, 272, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 271, 264, 14744, 2745, 263, 13263, 263, 272, 267, 271, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 272, 264, 14744, 2745, 263, 13263, 263, 272, 267, 272, 17903, 18257, 5897, 258, 476, 273, 269, 274, 269, 273, 4437, 553, 267, 799, 568, 835, 540, 21635, 27160, 6123, 14577, 13059, 1871, 5897, 18257, 1477, 343, 284, 12639, 15126, 8443, 271, 267, 272, 8079, 1948, 6358, 1477, 342, 284, 12639, 15126, 8443, 271, 269, 276, 267, 271, 269, 276, 8079, 1948, 7076, 1477, 321, 15871, 271, 269, 278, 1948, 9186, 5897, 2745, 3287, 3418, 2745, 26028, 10142, 339, 5404, 24210, 265, 342, 1477, 2745, 6025, 5404, 10142, 8999, 284, 12639, 27904, 6025, 5404, 3418, 2745, 4433, 636, 10142, 2745, 4433, 636, 17070, 3418, 18257, 24653, 258, 476, 273, 269, 274, 269, 274, 6388, 540, 6730, 676, 9186, 543, 2597, 5897, 3698, 6730, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 271, 269, 276, 267, 476, 271, 269, 276, 29573, 825, 536, 815, 910, 271, 269, 278, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 3698, 715, 13263, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 268, 271, 269, 276, 267, 910, 271, 269, 276, 29573, 825, 536, 815, 476, 271, 269, 278, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 3698, 10758, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 271, 269, 276, 267, 476, 271, 269, 276, 29573, 825, 536, 815, 910, 271, 269, 273, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 2745, 2891, 13263, 263, 271, 267, 271, 264, 14744, 2745, 263, 13263, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 13263, 263, 271, 267, 272, 264, 14744, 2745, 263, 13263, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 271, 264, 14744, 2745, 263, 13263, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 272, 264, 14744, 2745, 263, 13263, 263, 272, 267, 476, 272, 264, 10142, 2745, 2891, 2793, 21254, 263, 271, 267, 271, 264, 14744, 2745, 263, 2793, 21254, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 2793, 21254, 263, 271, 267, 272, 264, 14744, 2745, 263, 2793, 21254, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 2793, 21254, 263, 272, 267, 271, 264, 14744, 2745, 263, 2793, 21254, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 2793, 21254, 263, 272, 267, 272, 264, 14744, 2745, 263, 2793, 21254, 263, 272, 267, 476, 272, 264, 10142, 2745, 2891, 3036, 263, 271, 267, 271, 264, 14744, 2745, 263, 3036, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 3036, 263, 271, 267, 272, 264, 14744, 2745, 263, 3036, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 3036, 263, 272, 267, 271, 264, 14744, 2745, 263, 3036, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 3036, 263, 272, 267, 272, 264, 14744, 2745, 263, 3036, 263, 272, 267, 476, 272, 17903, 0, 5228, 10070, 1104, 9949, 18743, 692, 5035, 8641, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3200, 1182, 2187, 1038, 1582, 3052, 1429, 284, 29239, 18743, 17338, 994, 1038, 1582, 17679, 284, 3200, 1182, 454, 825, 1219, 1039, 10955, 613, 4311, 267, 340, 267, 341, 2187, 1038, 1582, 3052, 1429, 314, 340, 4940, 6572, 17635, 994, 825, 1219, 30490, 31374, 25219, 559, 4311, 267, 341, 267, 6665, 1243, 267, 23637, 2187, 1038, 10272, 314, 341, 24557, 12148, 454, 1038, 585, 1775, 538, 1582, 3052, 1429, 314, 341, 14158, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 6745, 641, 1670, 31374, 25219, 559, 9217, 267, 6665, 1243, 267, 23637, 994, 1038, 10518, 27044, 263, 271, 267, 341, 2020, 825, 1219, 30490, 31374, 4311, 2187, 1038, 10272, 17342, 16178, 30297, 1345, 17679, 454, 1038, 10518, 17342, 2639, 1038, 585, 1775, 538, 2039, 4311, 17679, 2187, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 6745, 641, 1670, 31374, 25219, 559, 9217, 267, 6665, 1243, 267, 23637, 2020, 1038, 1820, 263, 23637, 994, 326, 284, 20877, 263, 277, 994, 326, 14491, 10955, 613, 263, 276, 267, 476, 273, 5148, 3097, 326, 14491, 10955, 613, 263, 276, 267, 476, 271, 5148, 3097, 326, 14491, 10955, 613, 263, 275, 267, 476, 271, 5148, 3097, 326, 14491, 10955, 613, 263, 275, 267, 476, 272, 5148, 3097, 326, 14491, 10955, 613, 263, 273, 267, 476, 274, 5148, 3097, 326, 14491, 10955, 613, 263, 274, 267, 476, 272, 11850, 326, 6745, 641, 1670, 31374, 4590, 0, 5814, 4351, 692, 5035, 22900, 912, 825, 5727, 589, 1362, 547, 2099, 782, 519, 22645, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 1287, 877, 267, 1003, 16062, 902, 815, 476, 271, 267, 7953, 815, 476, 271, 2187, 1038, 8173, 1038, 6282, 525, 513, 1007, 15743, 609, 513, 2012, 267, 609, 3681, 540, 10747, 1297, 540, 12209, 543, 7953, 692, 1038, 2433, 12407, 1287, 877, 281, 634, 22645, 2012, 454, 1038, 2433, 12407, 1003, 16062, 902, 281, 634, 1297, 540, 12209, 593, 519, 15743, 454, 1038, 2433, 12407, 7953, 281, 634, 1297, 540, 7953, 593, 519, 15743, 454, 1038, 8173, 1038, 1582, 269, 29173, 318, 10233, 815, 834, 4840, 1038, 1582, 269, 29173, 318, 27729, 815, 834, 4840, 1038, 1582, 269, 29173, 25292, 815, 834, 4840, 1038, 1582, 9884, 902, 3966, 815, 476, 271, 454, 1038, 1582, 269, 9405, 18045, 815, 1003, 16062, 902, 454, 1038, 1582, 269, 7076, 815, 476, 271, 1363, 1948, 18564, 649, 666, 1405, 5581, 4559, 282, 713, 568, 1141, 8292, 2339, 454, 1038, 1582, 269, 19417, 815, 476, 271, 1363, 1948, 769, 6279, 454, 1038, 1582, 269, 5586, 18045, 815, 7953, 454, 1038, 1582, 269, 4754, 10734, 805, 327, 6958, 790, 815, 8771, 454, 1038, 1582, 20508, 815, 1287, 877, 692, 825, 1219, 8038, 4311, 2187, 1038, 8173, 1038, 5269, 707, 15743, 8038, 2439, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 952, 1582, 269, 9405, 18045, 3436, 476, 271, 912, 2018, 1820, 2891, 296, 6415, 10760, 10590, 2020, 825, 1219, 7362, 6958, 790, 4311, 2187, 1038, 8173, 1038, 5269, 707, 15743, 13236, 3595, 2439, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 952, 1582, 269, 4754, 10734, 805, 327, 6958, 790, 912, 2018, 1820, 2891, 289, 1248, 8627, 10590, 2020, 825, 1219, 11876, 731, 4671, 516, 5501, 4311, 267, 14951, 2187, 1038, 8173, 1038, 5269, 707, 15743, 11876, 731, 14951, 780, 1038, 2433, 12407, 14951, 281, 589, 14951, 5569, 454, 1038, 2433, 8873, 281, 634, 14951, 2179, 454, 1038, 8173, 1038, 14951, 318, 600, 339, 815, 4351, 27110, 263, 272, 267, 476, 1911, 994, 1038, 1820, 2891, 296, 1205, 2715, 272, 348, 540, 519, 2715, 271, 348, 2668, 8971, 6025, 516, 5501, 267, 14951, 318, 600, 339, 4917, 1038, 2132, 14951, 318, 600, 339, 692, 825, 1219, 1847, 4311, 267, 3350, 25292, 2187, 1038, 8173, 1038, 631, 7174, 707, 15743, 1472, 267, 1759, 593, 519, 1826, 540, 3350, 543, 519, 1297, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3280, 538, 1250, 1286, 888, 288, 4496, 16150, 532, 3280, 1522, 581, 3361, 676, 513, 1297, 540, 1919, 971, 607, 513, 12816, 856, 20347, 14950, 267, 513, 18761, 20347, 10943, 1662, 13104, 267, 513, 10690, 8868, 12946, 610, 849, 513, 15116, 6221, 610, 11935, 3478, 12758, 538, 519, 26039, 269, 1879, 596, 5873, 971, 513, 3280, 267, 596, 1058, 10994, 621, 3533, 865, 602, 621, 3085, 1406, 2322, 707, 1272, 538, 28855, 344, 563, 3963, 1281, 1250, 1286, 1118, 513, 8860, 6846, 950, 594, 590, 4594, 593, 519, 26039, 888, 5194, 1455, 3510, 1141, 26039, 666, 2014, 8860, 6846, 568, 513, 6727, 1793, 600, 593, 519, 26039, 269, 1403, 596, 1900, 593, 519, 26039, 538, 606, 6595, 267, 596, 786, 5873, 513, 10792, 3280, 543, 1745, 519, 20347, 29465, 678, 22824, 269, 1717, 267, 952, 707, 20347, 21181, 616, 5394, 2614, 267, 1810, 1406, 5855, 563, 1432, 2306, 513, 10978, 16150, 532, 6846, 950, 6117, 888, 2691, 707, 20347, 21181, 616, 12816, 856, 267, 972, 568, 513, 4062, 540, 4496, 602, 26055, 593, 519, 23301, 269, 901, 4496, 2306, 513, 10978, 4496, 16150, 532, 6846, 602, 568, 711, 1360, 4313, 532, 269, 0, 304, 783, 5511, 1382, 568, 513, 1713, 3693, 540, 16917, 8344, 1382, 607, 621, 19329, 3173, 547, 723, 1239, 602, 3091, 4656, 883, 519, 8369, 267, 2418, 267, 543, 2146, 4441, 1141, 2079, 568, 1373, 2944, 269, 634, 1239, 10356, 8547, 593, 513, 16045, 779, 6644, 267, 2143, 7391, 543, 1445, 1895, 18801, 725, 269, 634, 6896, 1239, 11527, 8460, 519, 11001, 779, 3765, 24483, 543, 11226, 538, 519, 4015, 540, 3875, 1239, 269, 19120, 5511, 1382, 568, 606, 22920, 602, 568, 12290, 998, 3879, 13577, 1344, 3379, 547, 818, 603, 5471, 673, 2418, 971, 607, 11050, 1382, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 3414, 713, 1826, 540, 1382, 267, 972, 616, 11999, 5666, 540, 1913, 543, 1239, 602, 1590, 581, 6896, 269, 4475, 267, 1655, 7154, 540, 5883, 543, 12180, 519, 2019, 6058, 748, 1344, 14122, 10128, 606, 3617, 4640, 563, 3080, 540, 519, 2994, 3322, 519, 7503, 540, 519, 6151, 1239, 883, 2780, 6119, 269, 19369, 540, 519, 13006, 1239, 1759, 593, 3102, 11042, 585, 679, 11431, 3340, 1098, 21564, 1169, 11746, 543, 1883, 538, 519, 8852, 883, 2780, 6119, 543, 519, 19307, 5918, 27289, 547, 581, 6740, 18172, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 5272, 16606, 610, 1305, 540, 4967, 1590, 30134, 609, 513, 6093, 20927, 602, 23403, 519, 31150, 7857, 267, 3135, 267, 543, 4408, 540, 1239, 19216, 267, 1239, 11018, 4266, 267, 7154, 540, 1239, 11018, 267, 10489, 686, 828, 267, 3705, 614, 267, 1462, 626, 267, 543, 1974, 540, 2780, 7127, 607, 11609, 538, 519, 16606, 5650, 563, 5194, 4640, 3322, 3844, 1436, 540, 1239, 269, 898, 568, 1271, 585, 3173, 547, 4558, 2168, 1344, 602, 14122, 4967, 267, 11746, 19827, 543, 31286, 23357, 606, 538, 17739, 1043, 25937, 22277, 610, 13974, 6870, 6753, 269, 5047, 267, 621, 18715, 3354, 543, 10727, 540, 519, 1344, 269, 769, 713, 2013, 267, 621, 568, 1434, 547, 723, 835, 1367, 602, 6487, 1141, 782, 519, 1344, 568, 6740, 543, 949, 4217, 538, 4466, 950, 2838, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 1403, 519, 2994, 616, 11368, 267, 1287, 5640, 949, 1205, 519, 6351, 789, 2154, 547, 9585, 543, 19597, 622, 519, 10356, 1344, 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 ]
[ 616, 538, 519, 4570, 2039, 10142, 1012, 589, 4790, 571, 842, 267, 595, 267, 568, 513, 630, 4289, 5899, 14844, 630, 1415, 1993, 25962, 25023, 25952, 26230, 1412, 8782, 17903, 1012, 10671, 2231, 6769, 1012, 567, 7003, 18154, 314, 271, 8079, 2652, 476, 272, 1477, 1012, 567, 595, 314, 272, 316, 3436, 476, 271, 5897, 5035, 10658, 14794, 6769, 476, 15981, 1477, 825, 29425, 6769, 11434, 2450, 630, 301, 520, 3418, 11434, 4604, 630, 32317, 3418, 11434, 10148, 630, 4289, 1993, 4790, 571, 842, 3418, 11434, 10671, 2231, 6769, 16875, 2450, 3436, 476, 271, 1477, 16875, 7003, 29033, 264, 2652, 2450, 1477, 16875, 1403, 4604, 5157, 6012, 329, 316, 568, 513, 2871, 612, 267, 4604, 5157, 6012, 329, 4940, 32188, 568, 513, 21799, 538, 519, 11015, 23228, 16875, 1703, 568, 513, 835, 547, 835, 19359, 1063, 519, 524, 1137, 538, 4604, 543, 1477, 2018, 10148, 269, 1280, 1383, 267, 952, 834, 320, 257, 4564, 513, 21799, 538, 519, 11015, 267, 1477, 2018, 621, 5526, 538, 4604, 543, 972, 568, 4010, 835, 23061, 585, 834, 320, 2668, 1477, 16875, 1403, 10148, 5157, 6012, 273, 316, 568, 834, 284, 2580, 1287, 519, 21799, 10148, 5157, 6012, 271, 15947, 2018, 5526, 4010, 2899, 538, 519, 11015, 23228, 16875, 1403, 10148, 5157, 6012, 273, 316, 568, 834, 270, 257, 610, 29038, 2580, 1287, 519, 21799, 10148, 5157, 6012, 271, 15947, 2018, 5526, 4010, 7466, 538, 519, 11015, 23228, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 2450, 267, 4604, 267, 10148, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 10658, 14794, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 10658, 14794, 14844, 8274, 630, 4289, 1993, 4790, 571, 842, 264, 9847, 7183, 1477, 825, 10671, 2231, 281, 2450, 3436, 476, 271, 1477, 825, 15981, 1477, 825, 1582, 25915, 815, 2450, 1477, 825, 1582, 269, 4580, 815, 4604, 1477, 825, 1582, 269, 6247, 571, 6493, 815, 10148, 5897, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 10658, 14794, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 10658, 14794, 4297, 543, 1422, 1477, 8587, 1582, 25915, 2652, 824, 25915, 543, 1422, 1477, 8587, 1582, 269, 4580, 2652, 824, 269, 4580, 543, 1422, 1477, 8587, 1582, 269, 6247, 571, 6493, 2652, 824, 269, 6247, 571, 6493, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 10658, 14794, 9847, 5899, 1477, 825, 15981, 1477, 825, 521, 815, 1412, 303, 340, 14794, 7268, 333, 23917, 8782, 266, 1598, 4311, 25915, 11924, 262, 315, 333, 262, 266, 257, 32317, 24097, 333, 29177, 825, 585, 1775, 538, 2039, 4311, 25915, 8029, 8587, 585, 795, 538, 2039, 4311, 25915, 8029, 1038, 952, 568, 27349, 4311, 269, 4580, 5157, 6012, 329, 3910, 10817, 612, 8029, 16875, 521, 815, 521, 1341, 1193, 4311, 269, 4580, 5157, 6012, 329, 8079, 1341, 1412, 1412, 1477, 1038, 3116, 6769, 16875, 521, 815, 521, 1341, 1193, 4311, 269, 4580, 5157, 6012, 329, 8079, 1341, 1412, 1412, 2608, 476, 1321, 1477, 8587, 521, 815, 521, 1341, 1412, 315, 333, 262, 1477, 825, 521, 815, 521, 1341, 834, 3519, 14259, 6493, 24097, 333, 29177, 825, 585, 1775, 538, 2039, 12759, 4311, 269, 6247, 571, 6493, 264, 8029, 8587, 521, 815, 521, 1341, 1412, 314, 1412, 266, 1582, 269, 6247, 571, 6493, 5157, 6012, 271, 316, 1341, 1412, 476, 1412, 1341, 1422, 1477, 1038, 1193, 4311, 269, 6247, 571, 6493, 5157, 6012, 272, 8079, 1341, 1412, 476, 1412, 1341, 1582, 269, 6247, 571, 6493, 5157, 6012, 273, 27994, 1422, 1477, 1038, 1412, 9948, 262, 22065, 315, 333, 262, 1477, 825, 521, 815, 521, 1341, 1412, 264, 262, 1477, 825, 2132, 521, 24653, 5035, 2871, 612, 6769, 476, 15981, 1477, 476, 29425, 6769, 672, 3090, 630, 18360, 3418, 672, 1297, 630, 301, 520, 3418, 672, 10671, 2231, 6769, 11434, 7003, 263, 32188, 264, 2652, 476, 272, 1477, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 3090, 267, 1297, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 2871, 612, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 2871, 612, 5899, 14844, 9847, 7183, 1477, 825, 15981, 1477, 825, 1582, 269, 32188, 815, 3090, 1477, 825, 1582, 8542, 3784, 815, 1297, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 2871, 612, 9847, 5899, 1477, 825, 15981, 1477, 825, 2132, 834, 10817, 612, 3488, 346, 271, 348, 3299, 346, 272, 16585, 2668, 8971, 4311, 269, 32188, 267, 1582, 8542, 3784, 10142, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 2871, 612, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 2871, 612, 4297, 543, 1422, 1477, 8587, 1582, 269, 32188, 2652, 824, 269, 32188, 543, 1422, 1477, 8587, 1582, 8542, 3784, 2652, 824, 8542, 3784, 24653, 5035, 30142, 333, 6769, 476, 15981, 1477, 476, 29425, 6769, 672, 1535, 630, 301, 520, 3418, 672, 586, 630, 301, 520, 3418, 672, 8074, 281, 18882, 630, 3602, 1535, 284, 271, 543, 586, 284, 271, 264, 568, 1283, 2451, 23228, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 30142, 333, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 30142, 333, 14844, 14844, 9847, 7183, 1477, 825, 15981, 1477, 825, 1582, 11859, 815, 1535, 1477, 825, 1582, 13885, 815, 586, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 30142, 333, 9847, 5899, 1477, 825, 15981, 1477, 825, 2132, 834, 303, 657, 333, 20719, 271, 9574, 346, 272, 16585, 2668, 8971, 4311, 11859, 267, 1582, 13885, 10142, 476, 1219, 6449, 18091, 9191, 1345, 267, 1278, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 30142, 333, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 30142, 333, 4297, 543, 1422, 1477, 8587, 1582, 11859, 2652, 824, 11859, 543, 1422, 1477, 8587, 1582, 13885, 2652, 824, 13885, 24653, 1012, 2878, 7052, 1262, 570, 2464, 16249, 966, 3201, 308, 2464, 2878, 11960, 7052, 265, 1477, 1012, 8074, 281, 1452, 616, 849, 1031, 538, 519, 1806, 2630, 269, 5897, 30298, 14794, 272, 815, 10658, 14794, 263, 275, 267, 1496, 9131, 320, 12887, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 672, 18358, 320, 12887, 323, 12887, 324, 12887, 324, 28710, 1477, 4449, 672, 18358, 325, 12887, 323, 12887, 326, 12887, 326, 28710, 1477, 4449, 672, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 7386, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 672, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 672, 18358, 323, 3299, 276, 10086, 22065, 3910, 1477, 4449, 672, 18358, 324, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 672, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 672, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 815, 10658, 14794, 263, 275, 267, 1496, 9131, 320, 12887, 321, 12887, 321, 12887, 322, 28710, 1477, 23351, 18358, 320, 3299, 273, 267, 272, 267, 275, 3910, 1477, 23351, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 23351, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 4449, 19930, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 23351, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 23351, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 23351, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 23351, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 23351, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 23351, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 30298, 14794, 272, 14783, 273, 815, 10658, 14794, 263, 275, 267, 20886, 10817, 612, 3488, 320, 3299, 273, 1070, 262, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 18358, 320, 3299, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 17264, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 1012, 476, 855, 711, 2943, 20240, 1477, 30298, 14794, 272, 14783, 274, 815, 10658, 14794, 263, 275, 267, 20886, 10817, 612, 3488, 320, 3299, 273, 1070, 262, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 1496, 10817, 612, 3488, 320, 3299, 274, 1070, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 17264, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 1012, 476, 855, 711, 2943, 20240, 543, 11234, 7058, 1477, 30298, 14794, 272, 14783, 275, 815, 10658, 14794, 263, 275, 267, 20886, 273, 10086, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 275, 320, 815, 10658, 14794, 263, 275, 267, 20886, 273, 267, 10817, 612, 3488, 321, 3299, 272, 1070, 10817, 612, 3488, 321, 3299, 274, 1070, 262, 322, 28710, 1477, 4449, 23526, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 23526, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 4449, 17264, 1496, 9131, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 23526, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 23526, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 23526, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 23526, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 275, 321, 815, 10658, 14794, 263, 275, 267, 20886, 273, 267, 10817, 612, 3488, 321, 3299, 272, 1070, 10817, 612, 3488, 321, 3299, 275, 1070, 262, 322, 28710, 1477, 4449, 23526, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 23526, 18358, 325, 12887, 327, 12887, 328, 12887 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1403, 596, 1745, 14221, 782, 519, 942, 585, 1896, 4374, 267, 610, 952, 621, 7959, 899, 707, 12194, 616, 2921, 936, 707, 1272, 267, 1287, 621, 779, 513, 1434, 2856, 547, 2560, 28454, 2081, 547, 1852, 707, 4250, 666, 948, 596, 1732, 11883, 609, 891, 4606, 543, 2061, 4160, 689, 2921, 3180, 269, 17520, 568, 513, 3339, 7553, 602, 3123, 2799, 10332, 1145, 267, 4250, 267, 543, 2168, 4191, 267, 971, 607, 513, 4028, 2295, 2557, 269, 21824, 538, 1480, 7919, 949, 2049, 538, 3210, 547, 513, 1978, 17003, 9648, 538, 519, 1459, 267, 610, 538, 24736, 610, 20772, 540, 513, 2104, 3463, 9228, 607, 513, 1981, 547, 13951, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 14134, 338, 723, 1044, 4330, 607, 10571, 31667, 1023, 585, 1483, 1272, 267, 3255, 547, 11815, 1518, 16858, 267, 543, 513, 1106, 540, 27248, 3797, 269, 10572, 2818, 540, 519, 1895, 1582, 2275, 839, 1681, 1765, 18034, 952, 789, 4250, 1373, 695, 684, 2740, 610, 3541, 3660, 585, 6340, 741, 2247, 28934, 835, 1761, 1129, 602, 519, 1895, 949, 4497, 538, 1895, 20459, 269, 10902, 513, 1253, 7675, 7553, 26901, 539, 676, 31587, 8594, 267, 9409, 267, 1928, 267, 3092, 1421, 2436, 519, 3463, 568, 1483, 610, 16545, 282, 519, 4743, 610, 2783, 540, 1373, 12922, 269, 901, 4250, 666, 1287, 581, 31903, 676, 538, 31228, 11348, 269, 11289, 596, 1360, 1454, 11184, 269, 2290, 540, 519, 4107, 2552, 698, 1190, 543, 667, 836, 2730, 5900, 3363, 4437, 1162, 269, 901, 4250, 666, 723, 1082, 5817, 3123, 269, 4937, 4160, 3361, 676, 6296, 1554, 3562, 6377, 17613, 2356, 10596, 3533, 543, 568, 4810, 676, 3592, 3025, 693, 835, 942, 610, 1776, 269, 2755, 621, 568, 1419, 1045, 12097, 693, 519, 1377, 540, 2520, 641, 29176, 610, 1369, 1870, 3906, 267, 1895, 20459, 666, 849, 3277, 547, 5705, 2401, 3157, 540, 1514, 610, 20748, 29077, 267, 971, 607, 10283, 538, 11648, 610, 7787, 1944, 513, 4057, 3375, 1373, 1500, 676, 835, 781, 2828, 269, 28015, 1143, 267, 519, 7229, 946, 540, 5208, 547, 1711, 513, 2489, 2916, 540, 4250, 538, 513, 2551, 543, 7551, 547, 3142, 827, 513, 1880, 2797, 6662, 269, 1280, 1383, 267, 4250, 666, 8451, 519, 4090, 513, 4651, 22168, 519, 4332, 7585, 2421, 32129, 2006, 1912, 6185, 269, 593, 5412, 476, 736, 267, 476, 1708, 271, 538, 7763, 10675, 256, 9684, 596, 2433, 1040, 2549, 594, 3843, 547, 2149, 8885, 689, 513, 1880, 6364, 286, 898, 666, 2039, 689, 13581, 8401, 1145, 547, 1612, 3315, 4506, 4250, 543, 11784, 269, 898, 3091, 721, 1702, 543, 1620, 1765, 604, 649, 3442, 547, 3398, 621, 269, 26479, 540, 18483, 616, 1950, 543, 11786, 282, 1317, 540, 519, 7915, 7542, 6290, 540, 18483, 267, 519, 2165, 538, 922, 2442, 6165, 814, 2919, 606, 7920, 16663, 269, 634, 946, 540, 5208, 267, 6937, 267, 610, 12932, 9179, 547, 1651, 924, 4250, 267, 610, 547, 1071, 518, 576, 2962, 267, 585, 2797, 5301, 269, 10017, 4653, 9736, 476, 1708, 272, 12246, 16303, 23255, 267, 20941, 269, 1215, 547, 946, 4250, 538, 513, 4845, 269, 5046, 268, 866, 24677, 568, 2348, 513, 2147, 1198, 267, 543, 945, 798, 596, 15475, 568, 519, 623, 1221, 13100, 704, 286, 898, 729, 24084, 2287, 269, 1677, 2743, 519, 7355, 585, 1134, 8547, 4250, 267, 519, 4250, 1590, 581, 1641, 1947, 9758, 543, 1843, 1947, 10257, 269, 21824, 568, 606, 7553, 602, 3335, 4386, 950, 596, 13498, 513, 3463, 547, 707, 2123, 1134, 5630, 269, 513, 1808, 3236, 540, 610, 4412, 3748, 585, 971, 513, 4743, 281, 606, 9402, 4250, 540, 15627, 269, 834, 16341, 821, 945, 568, 8572, 610, 31464, 547, 2132, 547, 741, 2197, 540, 5169, 19962, 547, 513, 1134, 1922, 15903, 4250, 540, 1373, 30201, 3176, 585, 4128, 540, 5198, 267, 4984, 267, 22874, 267, 15376, 540, 513, 1880, 1514, 1895, 267, 610, 2797, 6644, 1701, 594, 1419, 5873, 1004, 2491, 519, 4250, 540, 519, 7083, 607, 513, 6071, 2463, 610, 27527, 269, 21824, 16748, 8535, 6828, 282, 21824, 31543, 282, 21824, 31543, 5600, 9549, 282, 4250, 585, 282, 4250, 585, 630, 16341, 821, 610, 1945, 264, 4595, 1287, 267, 3967, 529, 543, 824, 3173, 723, 1336, 602, 538, 513, 3510, 602, 666, 581, 6353, 607, 1895, 20459, 267, 2043, 4043, 547, 31831, 689, 11589, 22027, 543, 21520, 610, 10990, 532, 609, 519, 13618, 269, 21988, 4550, 8686, 3147, 710, 771, 15574, 1223, 544, 28854, 938, 2907, 1606, 1638, 1221, 1620, 540, 1981, 269, 2037, 11803, 1568, 519, 1482, 1259, 269, 18564, 1022, 2404, 4555, 269, 21824, 26182, 32349, 267, 16945, 1071, 2120, 9858, 267, 16895, 267, 5778, 27023, 1235, 267, 543, 3025, 538, 1532, 15277, 269, 21824, 14340, 609, 519, 3463, 540, 2800, 267, 2901, 2168, 267, 3929, 267, 610, 5626, 267, 1483, 610, 16545, 269, 12745, 568, 4503, 607, 513, 16437, 518, 3693, 9789, 25197, 566, 28934, 13939, 543, 1031, 269, 21824, 267, 899, 782, 824, 4664, 267, 568, 10416, 1344, 269, 1412, 338, 3689, 769, 13774, 1116, 16594, 281, 23875, 547, 4250, 2755, 12926, 2808, 513, 968, 17463, 892, 7553, 267, 4250, 2965, 5713, 606, 1271, 1909, 538, 5329, 721, 2922, 607, 621, 20834, 3278, 721, 547, 11883, 609, 1761, 8594, 269, 1809, 1175, 1317, 649, 782, 1995, 4250, 3085, 1405, 1611, 602, 649, 723, 547, 2661, 609, 621, 269, 898, 779, 2565, 267, 1498, 267, 602, 782, 1895, 2818, 1765, 2958, 14177, 540, 741, 2990, 610, 22097, 1765, 2041, 4847, 547, 3565, 547, 1895, 3375, 6194, 269, 898, 568, 513, 4241, 543, 15491, 1480, 7553, 269, 634, 1158, 568, 538, 513, 1533, 540, 13441, 543, 681, 3633, 13669, 802, 786, 2232, 519, 2152, 6917, 1870, 5411, 267, 6705, 543, 2244, 14935, 616, 6849, 269, 898, 779, 8347, 532, 547, 16440, 2974, 269, 1656, 1247, 519, 4250, 568, 1483, 267, 519, 3463, 568, 711, 269, 1358, 1058, 8007, 1981, 23824, 267, 581, 1930, 547, 2093, 689, 782, 1895, 2818, 1765, 2958, 14177, 540, 741, 1995, 610, 2990, 11652, 1711, 2834, 3255, 585, 2043, 547, 2671, 741, 2093, 267, 2462, 543, 1507, 269, 634, 946, 540, 5208, 607, 513, 1797, 540, 8236, 513, 3804, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 17593, 17461, 281, 4634, 1498, 1034, 9176, 2021, 1522, 723, 930, 4145, 3823, 519, 7154, 540, 6765, 930, 2021, 949, 1995, 513, 15398, 4250, 540, 27638, 630, 293, 8016, 1070, 799, 949, 1118, 6379, 513, 23892, 543, 9636, 532, 1995, 585, 873, 269, 562, 269, 476, 272, 269, 513, 269, 21824, 540, 25055, 267, 610, 834, 325, 792, 540, 7029, 2437, 568, 10416, 4250, 540, 9561, 835, 781, 13190, 269, 21824, 281, 519, 7553, 4810, 538, 519, 4527, 610, 3463, 540, 8594, 269, 700, 3554, 9061, 267, 1912, 6185, 1421, 543, 22630, 589, 750, 2023, 267, 1912, 6185, 269, 593, 5412, 476, 1691, 267, 476, 1708, 271, 538, 12861, 17583, 269, 4250, 19655, 267, 4250, 12332, 267, 4250, 8144, 267, 2296, 8675, 4214, 540, 4250, 269, 9894, 1411, 6258, 519, 4107, 12830, 7689, 540, 476, 1708, 271, 286, 8729, 585, 971, 606, 27283, 2376, 269, 1548, 666, 596, 1451, 689, 621, 547, 1118, 707, 476, 1708, 272, 1732, 286, 594, 1419, 5873, 1004, 2491, 519, 4250, 540, 519, 7083, 607, 513, 6071, 2463, 610, 27527, 269, 1548, 1281, 4250, 4082, 1611, 286, 476, 736, 2055, 596, 666, 2307, 3054, 2221, 269, 1403, 865, 267, 1946, 286, 8231, 630, 4310, 609, 1843, 264, 476, 273, 269, 4756, 10902, 589, 4250, 568, 513, 2219, 602, 1945, 18473, 1522, 4755, 610, 1522, 723, 5949, 269, 7689, 476, 274, 281, 1879, 649, 4250, 2560, 700, 3554, 9061, 267, 1912, 6185, 1421, 543, 22630, 589, 750, 2023, 267, 1912, 6185, 269, 21824, 814, 20335, 513, 3983, 22850, 269, 21824, 281, 519, 7553, 4810, 538, 519, 4527, 610, 3463, 540, 8594, 269, 634, 946, 540, 5208, 607, 513, 1797, 540, 8236, 513, 3804, 269, 4208, 8422, 24930, 262, 1261, 6758, 3657, 14568, 20537, 2290, 269, 6258, 811, 269, 6423, 811, 269, 3397, 528, 7469, 14113, 630, 698, 268, 7795, 268, 745, 327, 6363, 302, 292, 15515, 268, 7795, 264, 568, 513, 1826, 540, 4160, 4524, 538, 799, 596, 4250, 543, 2057, 4025, 610, 3871, 602, 1522, 2014, 596, 547, 11784, 543, 1118, 596, 1745, 16290, 267, 27303, 610, 19849, 21724, 269, 634, 1543, 540, 713, 2361, 568, 6854, 4357, 543, 786, 711, 581, 3254, 15597, 269, 715, 1735, 269, 634, 4250, 540, 18349, 568, 513, 3532, 4250, 602, 1419, 814, 513, 2484, 23568, 1764, 593, 938, 2729, 269, 14307, 674, 6185, 10611, 269, 540, 930, 16545, 2680, 610, 1995, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 5192, 519, 948, 596, 991, 689, 513, 13309, 2282, 596, 1700, 320, 17676, 3028, 689, 10017, 4653, 269, 23718, 6742, 665, 857, 1912, 6185, 269, 593, 5239, 476, 3066, 267, 476, 1708, 271, 538, 1411, 2052, 1406, 23063, 2060, 2974, 269, 4107, 1004, 1995, 930, 13285, 950, 11093, 2933, 538, 3871, 602, 1223, 1291, 547, 18349, 267, 855, 585, 930, 1004, 267, 519, 4250, 3587, 524, 23774, 1782, 269, 2290, 3364, 602, 744, 262, 11390, 1030, 324, 1767, 2731, 6949, 730, 609, 803, 281, 834, 296, 723, 1044, 11613, 17512, 1881, 1250, 2898, 1272, 543, 594, 723, 2760, 1577, 621, 3247, 803, 689, 3257, 1018, 594, 4941, 547, 798, 269, 1809, 596, 2731, 13264, 621, 1524, 269, 1879, 649, 1577, 979, 540, 938, 10206, 540, 4250, 607, 519, 1134, 532, 909, 540, 9409, 4229, 1369, 721, 9789, 22506, 1014, 14953, 11652, 2253, 547, 1294, 4250, 543, 922, 13959, 4664, 607, 1344, 267, 649, 666, 1589, 827, 873, 29596, 269, 1772, 621, 2009, 547, 2087, 7189, 262, 2126, 5079, 286, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 17520, 568, 513, 2168, 2783, 6825, 676, 7920, 543, 10770, 4606, 540, 11605, 267, 4250, 267, 2587, 560, 610, 23487, 269, 3213, 1127, 4369, 267, 610, 519, 7287, 585, 14429, 4369, 267, 538, 513, 1895, 949, 3132, 513, 12402, 1851, 922, 2818, 547, 3858, 693, 782, 3790, 269, 1809, 519, 6426, 3096, 519, 2262, 4250, 693, 2547, 476, 4968, 2053, 538, 4704, 547, 2696, 267, 865, 649, 1118, 513, 12161, 950, 649, 1524, 2452, 621, 269, 6258, 827, 519, 4214, 543, 2934, 540, 519, 2343, 532, 3942, 267, 543, 1491, 513, 7688, 547, 1449, 707, 1702, 269, 16844, 1765, 18485, 15295, 4763, 543, 4763, 540, 2219, 1765, 13757, 1044, 3254, 547, 2569, 519, 7872, 540, 1895, 20459, 269, 5192, 519, 948, 596, 991, 689, 513, 13309, 2282, 596, 1700, 320, 17676, 3028, 689, 10017, 4653, 269, 898, 568, 2009, 267, 2705, 267, 585, 6887, 547, 1118, 3664, 32069, 543, 609, 2370, 24895, 267, 538, 2081, 602, 616, 711, 8209, 22566, 540, 1895, 20459, 269, 20492, 602, 8362, 3541, 728, 968, 8083, 11107, 892, 949, 581, 811, 2693, 547, 2887, 10352, 269, 476, 273, 269, 476, 8618, 18467, 1677, 2142, 8605, 633, 1879, 1411, 4518, 3245, 5851, 267, 476, 275, 30258, 547, 7348, 2659, 20556, 689, 513, 1715, 21887, 267, 20492, 602, 4225, 741, 1895, 3961, 543, 13789, 4411, 569, 4724, 968, 8083, 11107, 5608, 2755, 1134, 1922, 4233, 532, 6887, 666, 630, 663, 1058, 264, 723, 930, 4655, 267, 1895, 20459, 1282, 519, 476, 3422, 272, 7345, 540, 623, 12127, 12289, 267, 10572, 2818, 540, 519, 1895, 1582, 2275, 839, 1681, 267, 811, 3860, 3206, 543, 6038, 3152, 5647, 1369, 3906, 267, 814, 1044, 3254, 547, 2569, 519, 7872, 540, 1895, 20459, 267, 1711, 2834, 3255, 585, 2043, 547, 2671, 741, 2093, 269, 634, 9153, 540, 606, 4608, 839, 1819, 3760, 602, 568, 26723, 839, 4601, 6131, 547, 1863, 4633, 814, 6537, 513, 2603, 540, 1719, 269, 21824, 543, 4160, 666, 1860, 782, 540, 721, 1169, 1631, 543, 1287, 269, 634, 9810, 1082, 1004, 723, 693, 519, 2856, 540, 2348, 547, 3717, 538, 1857, 568, 10416, 4250, 540, 24178, 11546, 987, 269, 1879, 596, 1205, 547, 917, 4250, 689, 7279, 267, 596, 666, 2981, 519, 2587 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10100, 267, 4278, 3424, 267, 543, 2872, 540, 922, 1004, 267, 7153, 607, 519, 581, 12317, 633, 540, 519, 2552, 5799, 269, 4706, 2551, 540, 476, 279, 267, 1822, 267, 1822, 2390, 606, 1858, 540, 2370, 1447, 982, 15930, 729, 6462, 676, 519, 1104, 566, 540, 6151, 2326, 267, 543, 676, 741, 5478, 543, 741, 5385, 936, 5498, 553, 585, 1079, 22188, 540, 519, 4105, 29476, 540, 922, 3232, 1272, 563, 2691, 538, 519, 4832, 540, 476, 866, 476, 1691, 519, 1004, 941, 1586, 6537, 883, 519, 3864, 544, 6130, 560, 668, 267, 476, 7785, 267, 1822, 540, 873, 2968, 535, 1872, 14476, 13383, 267, 543, 519, 14230, 941, 4389, 547, 519, 1533, 540, 513, 2749, 799, 267, 9676, 676, 513, 20935, 7952, 267, 568, 538, 2490, 14850, 773, 3022, 689, 1510, 269, 4935, 267, 922, 6302, 941, 513, 3774, 540, 15922, 517, 1115, 543, 513, 3625, 8172, 18239, 563, 15152, 2413, 2804, 2175, 267, 1100, 1104, 532, 4182, 11438, 811, 982, 513, 1906, 4374, 262, 15395, 6006, 540, 1426, 267, 4470, 607, 621, 1281, 2390, 519, 3232, 2855, 11040, 540, 16450, 282, 543, 519, 29696, 540, 713, 1102, 869, 267, 1927, 609, 519, 9552, 543, 1270, 9974, 540, 741, 803, 4526, 13632, 267, 12219, 519, 5617, 326, 2103, 609, 606, 1256, 3152, 31685, 2443, 519, 2530, 540, 741, 1360, 1272, 563, 4415, 519, 3247, 2457, 540, 519, 4853, 9219, 267, 741, 960, 15161, 941, 7329, 548, 267, 543, 3186, 3191, 22415, 1117, 1554, 543, 3781, 883, 741, 28795, 9806, 267, 2394, 547, 6377, 1614, 543, 513, 3368, 2929, 1004, 1590, 581, 5280, 538, 17493, 563, 763, 5617, 326, 2103, 616, 513, 1582, 3146, 2993, 656, 1004, 945, 1185, 8179, 1100, 7957, 832, 540, 519, 1158, 267, 543, 741, 1101, 15859, 543, 11173, 20089, 814, 1044, 547, 948, 2933, 269, 3502, 1152, 941, 782, 1346, 945, 1185, 2200, 1202, 11962, 602, 789, 1058, 2901, 2628, 1631, 610, 538, 519, 2104, 585, 741, 1426, 267, 855, 2484, 3564, 713, 267, 789, 723, 29739, 2390, 12391, 585, 741, 1378, 3186, 3482, 547, 519, 2407, 652, 6708, 540, 1346, 6967, 2200, 2443, 519, 17493, 540, 519, 4057, 4724, 519, 4057, 269, 1358, 723, 2933, 1305, 909, 1100, 3956, 585, 1649, 5271, 565, 775, 267, 855, 519, 1977, 28057, 8189, 814, 29739, 2390, 5418, 8172, 547, 519, 1158, 547, 948, 538, 513, 11411, 865, 2484, 3564, 741, 2702, 563, 1607, 8189, 729, 2813, 538, 1931, 602, 676, 6876, 609, 519, 11350, 580, 5166, 338, 593, 1312, 5011, 267, 513, 7450, 1522, 581, 8118, 538, 519, 3774, 540, 5374, 267, 998, 799, 1346, 945, 1185, 2200, 1223, 556, 268, 22056, 519, 2095, 540, 7727, 547, 2933, 282, 602, 998, 519, 1482, 8756, 267, 519, 1158, 1522, 2097, 547, 519, 15063, 540, 519, 3186, 3482, 267, 543, 3564, 713, 602, 621, 1223, 10018, 519, 25330, 1222, 540, 891, 7727, 547, 519, 6852, 946, 540, 519, 1004, 563, 763, 9997, 540, 19934, 4607, 513, 20494, 31773, 10138, 267, 855, 519, 2021, 540, 19934, 616, 25411, 684, 4221, 519, 2095, 2443, 24569, 543, 3056, 713, 588, 4459, 523, 4182, 547, 3152, 4222, 543, 3152, 1272, 563, 2171, 540, 519, 28057, 723, 1044, 10583, 540, 519, 17979, 547, 1747, 519, 2645, 538, 519, 3946, 540, 891, 2021, 267, 543, 723, 14478, 741, 1236, 559, 995, 946, 543, 741, 6454, 538, 1505, 609, 5662, 569, 25621, 269, 1284, 723, 5156, 621, 547, 581, 865, 1390, 606, 6667, 602, 649, 723, 3232, 24714, 621, 1223, 581, 3182, 3293, 676, 513, 1623, 12949, 1944, 1688, 267, 30385, 2639, 2171, 2709, 1200, 2370, 1433, 607, 938, 267, 543, 11427, 269, 918, 749, 17344, 781, 267, 24744, 538, 25621, 540, 873, 543, 519, 6667, 799, 789, 723, 8329, 547, 713, 2898, 3919, 269, 901, 20174, 543, 713, 3028, 723, 1631, 19079, 593, 585, 5176, 476, 12010, 1279, 2395, 269, 7201, 796, 576, 2084, 7965, 519, 2645, 723, 1044, 6854, 538, 519, 3946, 540, 891, 2021, 267, 543, 789, 723, 12913, 741, 4305, 269, 2353, 540, 713, 942, 972, 723, 11542, 3297, 873, 938, 16292, 17346, 609, 689, 13977, 547, 24239, 2395, 262, 7727, 538, 4434, 267, 543, 13357, 814, 3976, 1044, 602, 3845, 6552, 269, 3776, 2671, 543, 519, 2671, 540, 891, 2021, 814, 4061, 1044, 513, 4305, 540, 6604, 267, 711, 513, 4305, 540, 16185, 269, 3776, 4305, 543, 741, 338, 814, 1044, 547, 2226, 519, 17409, 540, 519, 1453, 267, 711, 547, 3819, 741, 17229, 269, 634, 2619, 657, 540, 519, 1279, 3515, 540, 2503, 656, 267, 669, 30568, 21746, 267, 1142, 609, 513, 19044, 540, 6392, 8930, 2740, 547, 922, 9221, 610, 4371, 538, 513, 1989, 574, 344, 31329, 267, 2760, 1244, 19843, 519, 2247, 540, 6689, 269, 7439, 1281, 4250, 2479, 4283, 741, 2370, 9843, 561, 652, 519, 28795, 5832, 540, 8804, 267, 9635, 543, 4287, 799, 7028, 891, 16292, 17346, 1058, 3111, 267, 585, 814, 519, 524, 14932, 2479, 8959, 538, 782, 891, 1079, 543, 513, 3368, 1296, 7790, 2334, 519, 1554, 4927, 711, 2097, 950, 930, 32068, 4807, 8015, 1200, 17229, 1590, 1796, 1354, 922, 10766, 547, 10956, 281, 834, 300, 525, 4620, 2572, 267, 24924, 562, 262, 344, 679, 513, 7132, 257, 568, 3274, 513, 1966, 540, 4074, 543, 2724, 269, 769, 713, 3013, 814, 513, 10279, 267, 543, 519, 2021, 540, 3013, 513, 17979, 563, 9616, 281, 11427, 269, 918, 749, 17344, 729, 519, 7385, 540, 519, 23070, 540, 519, 10911, 289, 5604, 538, 29761, 269, 0, 2710, 596, 1419, 3956, 693, 9413, 286, 4340, 547, 3173, 267, 713, 15398, 8417, 568, 513, 1434, 1129, 269, 4112, 534, 725, 563, 6097, 547, 513, 2487, 3621, 1353, 267, 24986, 796, 19055, 2406, 538, 4395, 540, 513, 4670, 666, 581, 513, 1129, 540, 968, 16591, 5837, 2631, 5608, 543, 711, 1175, 540, 968, 341, 592, 1676, 1464, 892, 610, 968, 933, 752, 1145, 9731, 1805, 3994, 518, 7106, 549, 1998, 540, 5837, 1098, 326, 11306, 454, 1103, 713, 5619, 267, 3592, 476, 272, 267, 1822, 3703, 2367, 543, 2021, 941, 4767, 563, 19853, 24986, 267, 799, 7018, 1247, 8384, 513, 4670, 610, 2542, 513, 1433, 267, 729, 9916, 538, 1880, 563, 19177, 6688, 540, 17229, 941, 4857, 267, 1519, 912, 268, 519, 17229, 540, 13613, 602, 8451, 1282, 3021, 725, 3248, 268, 6848, 17229, 799, 616, 519, 1267, 540, 7526, 1369, 513, 1895, 3248, 268, 519, 17229, 540, 8296, 602, 2408, 538, 519, 3068, 540, 519, 1928, 540, 1866, 3248, 268, 2366, 14939, 17229, 267, 799, 2049, 538, 4395, 540, 3001, 10207, 630, 16344, 916, 267, 4249, 267, 3092, 28593, 17843, 2055, 941, 1287, 4280, 547, 519, 10457, 543, 741, 10182, 729, 7318, 538, 519, 3068, 540, 476, 1789, 2010, 540, 5837, 1098, 326, 11306, 630, 15533, 267, 7301, 21334, 687, 267, 3092, 28593, 14187, 538, 1010, 1560, 267, 1434, 538, 1010, 2212, 2336, 290, 11538, 1131, 7794, 5837, 2418, 454, 4910, 738, 7790, 634, 1353, 1336, 602, 1346, 945, 524, 3072, 3362, 936, 2835, 543, 9413, 941, 811, 7106, 549, 1324, 540, 5837, 1098, 326, 11306, 563, 4322, 10457, 941, 849, 811, 2693, 547, 24946, 547, 17493, 543, 7106, 17311, 540, 14084, 563, 1103, 1249, 267, 519, 1382, 2319, 11099, 602, 891, 2366, 14939, 1835, 625, 616, 5702, 5532, 547, 5621, 745, 1143, 543, 6568, 269, 2701, 849, 11099, 602, 891, 17229, 12927, 519, 1459, 4090, 267, 519, 4664, 5433, 543, 5837, 2418, 563, 2108, 7212, 2104, 2090, 616, 2877, 267, 621, 5526, 713, 1382, 2591, 519, 26608, 18727, 10206, 602, 1152, 968, 16591, 892, 1004, 3956, 2108, 267, 2161, 3173, 689, 519, 2160, 540, 589, 541, 327, 639, 267, 16862, 267, 538, 519, 4317, 16723, 28743, 269, 0, 268, 476, 271, 269, 272, 476, 272, 269, 17327, 2657, 607, 513, 32001, 547, 3590, 545, 2657, 454, 268, 476, 271, 269, 273, 476, 273, 269, 634, 10020, 540, 17327, 5843, 6798, 727, 538, 3590, 545, 2657, 454, 268, 476, 271, 269, 274, 476, 274, 269, 11270, 7267, 2657, 543, 4706, 8177, 593, 519, 9839, 454, 268, 476, 271, 269, 275, 476, 275, 269, 12128, 543, 17327, 2657, 281, 589, 645, 573, 27399, 20556, 454, 268, 476, 271, 269, 276, 476, 276, 269, 17327, 2657, 543, 28614, 4270, 5630, 454, 268, 476, 271, 269, 277, 476, 277, 269, 26579, 543, 17327, 2657, 281, 20480, 585, 5637, 12624, 543, 4132, 454, 268, 476, 272, 8191, 454, 763, 3095, 1063, 5711, 1072, 543, 11528, 1072, 568, 606, 6946, 543, 1419, 15763, 2460, 540, 2949, 1134, 5630, 269, 901, 3408, 12538, 883, 519, 4241, 4276, 1063, 5711, 1072, 543, 11528, 1072, 267, 17766, 1769, 593, 519, 7096, 1764, 602, 519, 1072, 540, 938, 28182, 666, 723, 593, 519, 3003, 1560, 563, 272, 269, 17327, 2657, 607, 513, 32001, 547, 3590, 545, 2657, 454, 763, 5023, 5713, 607, 513, 6885, 883, 519, 2949, 1072, 540, 519, 1560, 269, 12983, 971, 607, 10733, 2068, 267, 19659, 267, 543, 5711, 5563, 666, 581, 10832, 540, 5817, 1072, 2152, 269, 901, 3296, 7710, 875, 5711, 1072, 666, 2992, 543, 3310, 11528, 1072, 267, 10771, 519, 2956, 540, 11455, 5959, 1416, 563, 273, 269, 634, 10020, 540, 17327, 5843, 6798, 727, 538, 3590, 545, 2657, 454, 763, 5711, 22435, 267, 513, 1950, 5117, 540, 4551, 538, 519, 5023, 267, 4249, 513, 2629, 1909, 538, 1312, 5711, 543, 11528, 1072, 269, 1955, 4472, 1734, 538, 519, 5711, 22435, 666, 3565, 547, 6553, 267, 799, 814, 1044, 5532, 547, 1585, 11528, 2175, 269, 4197, 519, 10347, 3666, 540, 519, 5711, 22435, 2488, 4030, 883, 4509, 6099, 2949, 1072, 563, 274, 269, 11270, 7267, 2657, 543, 4706, 8177, 593, 519, 9839, 454, 10932, 5267, 513, 4276, 1063, 27731, 1072, 543, 9025, 1072, 269, 11270, 7267, 2068, 267, 6353, 676, 6553, 543, 3968, 540, 519, 14779, 267, 949, 2333, 519, 1981, 540, 2295, 2068, 269, 901, 3296, 7710, 519, 6127, 3297, 713, 4276, 543, 519, 2956, 540, 5711, 9882, 538, 5885, 2295, 1072, 563, 275, 269, 12128, 543, 17327, 2657, 281, 589, 645, 573, 27399, 20556, 454, 763, 2078, 1063, 3987, 543, 5711, 1072, 568, 19915, 27399, 1765, 684, 25049, 3987, 666, 1291, 547, 5711, 1072, 2152, 267, 543, 4057, 5711, 1072, 949, 635, 12393, 3987, 2359, 269, 19737, 1312, 2175, 5348, 1120, 12264, 568, 1898, 585, 2043, 609, 3987, 269, 901, 3296, 12538, 883, 519, 16799, 1063, 3987, 543, 5711, 1072, 563, 276, 269, 17327, 2657, 543, 28614, 4270, 5630, 454, 763, 1072, 540, 519, 5711, 13570, 666, 3310, 7929, 1134, 5630, 269, 18648, 5711, 1072, 814, 1044, 5532, 547, 7929, 2175, 971, 607, 16415, 543, 5312, 30126, 17422, 2068, 630, 4596, 11520, 1040, 4197, 519, 4276, 1063, 5711, 1072, 543, 519, 7929, 1062, 19156, 519, 11455, 1935, 2877, 585, 2949, 1072, 563, 277, 269, 26579, 543, 17327, 2657, 281, 20480, 585, 5637, 12624, 543, 4132, 454, 302, 1537, 1072, 568, 540, 1880, 2956, 1282, 6379, 267, 607, 17441, 2242, 666, 1860, 519, 14779, 543, 2333, 519, 1981, 540, 10733, 2068, 269, 3958, 267, 14774, 5711, 1072, 814, 6286, 585, 519, 1126, 779, 1072, 269, 10289, 519, 4276, 1063, 6379, 267, 5711, 1072, 267, 543, 11528, 1072, 8711, 519, 4644, 540, 3102, 27514, 1416, 269, 0, 1432, 568, 4676, 2716, 1108, 888, 8269, 2716, 1108, 568, 513, 3797, 602, 13000, 519, 3952, 547, 3666, 519, 2898, 1560, 269, 4706, 1292, 6240, 568, 602, 676, 2527, 1645, 543, 7311, 2604, 547, 2694, 540, 519, 3952, 267, 1634, 607, 16846, 2127, 267, 824, 7222, 543, 4448, 2127, 540, 519, 1560, 786, 1745, 519, 4324, 563, 1103, 16846, 1108, 267, 519, 3952, 543, 3946, 616, 899, 9910, 7851, 540, 519, 1560, 781, 14169, 865, 1022, 1560, 1062, 666, 581, 15600, 543, 25623, 676, 2527, 1645, 519, 7222, 1858, 540, 519, 3723, 610, 1688, 269, 634, 2832, 568, 547, 12954, 519, 1560, 781, 1378, 7067, 3157, 538, 1931, 547, 1832, 621, 538, 3666, 563, 14611, 11588, 540, 4676, 2716, 1108, 454, 268, 13262, 543, 8082, 8323, 910, 898, 568, 6700, 602, 5111, 476, 4037, 260, 540, 2221, 781, 3676, 616, 2404, 547, 2566, 543, 8082, 269, 901, 5540, 519, 1560, 1949, 538, 1082, 2081, 543, 16846, 1108, 568, 540, 1390, 948, 547, 3035, 27921, 630, 25270, 264, 538, 519, 1560, 563, 268, 10266, 28057, 910, 1439, 6973, 1231, 9658, 1540, 676, 519, 30783, 14189, 616, 849, 2404, 609, 519, 5786, 540, 1928, 563, 268, 5489, 2135, 2305, 910, 22376, 1375, 880, 16846, 525, 616, 25623, 267, 799, 538, 2490, 22262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18791, 4661, 566, 267, 543, 4679, 10171, 540, 15028, 17260, 780, 9654, 269, 7351, 12367, 543, 24021, 12983, 538, 661, 11403, 692, 28770, 3101, 3466, 5935, 519, 661, 11403, 5251, 17663, 1384, 288, 269, 14464, 11106, 630, 9590, 264, 10241, 454, 3849, 9330, 906, 538, 3642, 2029, 1631, 7520, 12747, 3561, 2689, 267, 16762, 12642, 267, 5691, 20843, 267, 543, 5100, 20319, 2645, 2966, 547, 20928, 2013, 7245, 4247, 267, 3986, 4398, 267, 543, 2087, 6111, 2429, 519, 661, 11403, 27795, 780, 289, 269, 22647, 670, 792, 902, 543, 6732, 15107, 13257, 454, 763, 4473, 540, 6552, 5873, 902, 10776, 7458, 676, 5046, 268, 866, 6855, 9993, 814, 23185, 3747, 585, 5150, 2228, 5867, 5827, 540, 16475, 3059, 19014, 267, 3381, 1476, 17182, 267, 543, 6531, 2861, 3758, 4687, 3156, 269, 6270, 10124, 9153, 8476, 10333, 267, 13418, 267, 543, 13784, 585, 32321, 24797, 6105, 7722, 538, 3444, 31215, 661, 11403, 2238, 780, 290, 269, 16844, 543, 29621, 9024, 328, 2510, 454, 16391, 3074, 5001, 723, 14556, 1881, 19647, 547, 5009, 4008, 7862, 267, 7292, 5126, 267, 11806, 266, 2924, 267, 9659, 22581, 267, 2085, 4763, 267, 543, 18371, 8417, 1369, 741, 16034, 269, 9182, 267, 661, 11403, 12665, 1590, 3251, 32448, 540, 13346, 15295, 3270, 267, 2686, 22740, 8481, 267, 543, 15424, 22853, 18363, 6870, 6688, 780, 23997, 269, 10390, 692, 1607, 3184, 8268, 1883, 3344, 4478, 7694, 15539, 6571, 267, 10771, 7580, 4485, 16135, 538, 2312, 2792, 267, 11826, 2866, 267, 30190, 2594, 5329, 267, 7059, 6268, 1949, 267, 543, 5698, 609, 4810, 3656, 4648, 269, 1635, 6220, 4207, 7835, 543, 2104, 2591, 267, 3988, 6591, 4030, 883, 11455, 661, 11403, 10850, 26405, 547, 5838, 4264, 8013, 5383, 9624, 6422, 2344, 2175, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 9372, 814, 513, 5010, 543, 1455, 1876, 2259, 609, 513, 1880, 1445, 593, 5010, 543, 6142, 13882, 267, 1587, 15668, 1299, 2527, 12475, 1895, 3527, 267, 1072, 1299, 3106, 543, 3959, 563, 3891, 21783, 689, 27076, 5441, 267, 11062, 609, 513, 17677, 3689, 538, 2296, 1354, 4974, 693, 519, 9576, 9142, 540, 8535, 543, 519, 670, 5255, 338, 577, 2544, 24166, 4053, 1731, 538, 595, 860, 928, 543, 2324, 585, 1896, 1296, 607, 513, 8106, 22256, 269, 1261, 14753, 4436, 543, 814, 513, 2324, 1702, 540, 3943, 543, 7969, 563, 13731, 9372, 729, 5116, 1101, 538, 1010, 1032, 585, 519, 8713, 292, 538, 13751, 5525, 693, 5507, 3162, 7813, 2160, 563, 3891, 568, 849, 606, 26886, 18657, 1807, 563, 2690, 811, 1344, 827, 519, 1259, 536, 1551, 8651, 693, 26673, 3205, 16422, 1499, 960, 267, 1519, 938, 2474, 540, 6278, 267, 13927, 11413, 3948, 543, 938, 20286, 1184, 267, 5225, 4945, 1934, 269, 645, 1551, 8651, 616, 14931, 676, 519, 4446, 11621, 8274, 563, 4467, 14293, 267, 15928, 1299, 1488, 4226, 1674, 454, 13731, 9372, 814, 3573, 1995, 540, 5010, 25036, 543, 32404, 267, 4749, 609, 606, 3486, 3897, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10387, 7877, 2598, 335, 1393, 22375, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 18366, 22375, 1299, 2405, 2747, 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, 4495, 2390, 513, 942, 267, 538, 513, 14297, 2749, 5030, 1079, 1655, 2828, 267, 23183, 543, 16888, 269, 23183, 729, 606, 909, 18566, 543, 23904, 1268, 945, 6068, 4730, 519, 30413, 1247, 16888, 729, 811, 3978, 543, 9602, 267, 1419, 11589, 5128, 998, 1010, 15885, 593, 519, 14440, 269, 1358, 3838, 513, 6612, 585, 2575, 543, 9413, 267, 865, 789, 4956, 547, 12840, 593, 1818, 513, 2110, 4670, 1927, 780, 300, 807, 6700, 1603, 513, 7097, 827, 513, 1762, 8004, 3957, 15039, 945, 1185, 4503, 1200, 3993, 543, 5433, 4805, 538, 519, 1158, 269, 2701, 2219, 621, 1131, 581, 15700, 952, 15039, 1336, 24176, 538, 2575, 1310, 11836, 513, 1153, 6512, 269, 11531, 267, 16888, 4941, 547, 17492, 519, 3501, 7574, 6060, 547, 7001, 519, 1114, 30181, 2429, 519, 4670, 780, 297, 14493, 2813, 1896, 4773, 585, 1585, 10207, 267, 4358, 609, 513, 14264, 3273, 545, 6249, 585, 950, 15039, 1101, 16137, 827, 1200, 3993, 781, 2669, 269, 1261, 1031, 2571, 14440, 4967, 10483, 676, 11029, 12673, 547, 6655, 519, 7962, 1465, 543, 28194, 15039, 7959, 3330, 269, 1306, 1352, 5956, 547, 1921, 609, 824, 12372, 538, 1200, 1153, 6512, 267, 646, 3773, 22488, 3574, 13388, 7405, 547, 2099, 1007, 17052, 19806, 4040, 780, 2690, 519, 6172, 1314, 1141, 15039, 8188, 14488, 1282, 513, 2101, 2773, 267, 16888, 7768, 3728, 19550, 25576, 15664, 18819, 23091, 609, 14221, 5569, 23964, 267, 2679, 8082, 543, 24736, 269, 2311, 519, 1482, 942, 267, 23183, 5206, 19929, 1063, 15039, 543, 1200, 8284, 12372, 7234, 2994, 585, 7829, 6397, 2591, 4571, 26024, 269, 901, 5698, 12006, 16542, 543, 2500, 2792, 1983, 1107, 1898, 2609, 585, 1022, 3811, 1788, 610, 2078, 780, 7628, 2504, 267, 2705, 267, 7526, 3323, 16109, 1813, 547, 18312, 8369, 3823, 1978, 3344, 540, 519, 4670, 269, 1280, 3236, 267, 972, 941, 22195, 936, 2436, 547, 1331, 8763, 1893, 538, 835, 1880, 6429, 269, 2991, 1454, 7521, 267, 789, 7691, 602, 4509, 16614, 7391, 3366, 873, 6251, 547, 4466, 993, 27809, 3435, 982, 759, 15659, 547, 12699, 7440, 269, 769, 3257, 865, 267, 789, 4121, 3407, 4245, 827, 14207, 267, 1620, 4244, 5380, 267, 543, 6236, 5683, 6286, 1354, 2921, 2962, 780, 1103, 1776, 3236, 267, 13253, 15583, 730, 2417, 950, 16888, 15034, 23183, 540, 711, 4758, 2614, 3007, 547, 1469, 538, 1200, 7097, 8586, 1184, 269, 5502, 540, 32232, 1219, 13208, 267, 23183, 3576, 519, 9880, 9797, 543, 5249, 2182, 547, 2087, 1200, 4739, 269, 3414, 1930, 2792, 9055, 267, 789, 9619, 1142, 824, 781, 4145, 543, 24458, 3025, 5433, 4862, 543, 24019, 780, 2026, 519, 4670, 27636, 267, 789, 11368, 782, 891, 2833, 883, 741, 960, 267, 4611, 538, 513, 3532, 3803, 1587, 4904, 609, 6151, 7553, 267, 12416, 267, 543, 6667, 269, 4256, 4074, 540, 2648, 6566, 328, 1229, 693, 513, 2199, 14364, 267, 8391, 2565, 1035, 8010, 543, 11121, 1082, 13588, 6849, 2147, 9620, 538, 1483, 1272, 269, 1635, 6220, 8076, 1480, 4296, 543, 5466, 11541, 2152, 1369, 741, 4670, 267, 23183, 543, 16888, 7152, 519, 13710, 1379, 540, 1148, 543, 922, 4390, 547, 12115, 16398, 267, 1628, 13123, 267, 543, 6536, 4126, 9624, 21817, 780, 9961, 713, 3460, 267, 1312, 2828, 4362, 519, 4644, 540, 6568, 267, 8699, 267, 543, 6043, 1107, 7907, 2629, 711, 1152, 538, 3860, 18697, 855, 849, 538, 4948, 2713, 269, 5015, 267, 789, 6444, 519, 1871, 540, 5698, 543, 19713, 1367, 9342, 547, 3035, 7104, 3853, 269, 26361, 782, 3116, 267, 789, 6956, 602, 1169, 3375, 814, 4539, 267, 3450, 873, 5539, 543, 12477, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 3280, 10177, 1188, 3986, 519, 7099, 540, 519, 6429, 888, 296, 1810, 1405, 723, 513, 16148, 1995, 855, 1775, 666, 1683, 930, 2489, 1806, 540, 875, 3280, 339, 13715, 949, 3986, 519, 7099, 540, 519, 6429, 1384, 272, 269, 4259, 519, 3159, 281, 513, 3280, 10177, 1188, 666, 3715, 519, 7099, 540, 513, 6429, 269, 585, 1383, 267, 513, 8909, 610, 10565, 6060, 1223, 5815, 602, 1945, 8909, 610, 13249, 568, 8345, 780, 273, 269, 2870, 24457, 281, 513, 3280, 10177, 1188, 666, 1711, 24457, 543, 8082, 676, 1210, 552, 24809, 610, 796, 3553, 339, 1782, 4992, 267, 2575, 610, 16563, 780, 274, 269, 5885, 519, 4729, 281, 519, 3280, 10177, 1188, 666, 1489, 519, 4729, 676, 25967, 1681, 1880, 4729, 2798, 267, 971, 607, 513, 11509, 610, 7920, 10207, 780, 275, 269, 7393, 519, 3929, 1764, 281, 2575, 666, 3986, 519, 3929, 1764, 540, 513, 6429, 676, 14556, 4328, 519, 5304, 779, 4664, 610, 4606, 2509, 519, 3197, 780, 276, 269, 4259, 519, 5736, 610, 1747, 281, 519, 3280, 10177, 1188, 666, 948, 547, 3715, 519, 942, 543, 1747, 538, 799, 519, 7260, 568, 1305, 269, 585, 1383, 267, 513, 3280, 10177, 1188, 10023, 2575, 689, 519, 476, 2004, 338, 1223, 5815, 602, 519, 7260, 568, 1305, 538, 602, 5736, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 281, 17510, 11352, 12186, 1107, 1215, 2659, 19024, 538, 519, 7731, 2052, 23426, 1411, 692, 5331, 596, 723, 1175, 8452, 1753, 1310, 513, 1279, 1554, 693, 1153, 267, 9599, 547, 2995, 707, 1920, 827, 519, 2257, 1788, 596, 4076, 1044, 2324, 593, 782, 3018, 269, 1717, 267, 1354, 596, 1256, 1205, 513, 4960, 547, 1376, 6158, 267, 707, 4587, 7015, 23217, 3045, 25555, 1010, 5767, 22920, 1765, 7773, 940, 1101, 1747, 538, 519, 6237, 13558, 29658, 269, 6496, 713, 9183, 3280, 5432, 286, 1403, 865, 267, 596, 1522, 581, 5461, 547, 1451, 875, 4332, 1931, 666, 3310, 707, 7209, 267, 3347, 267, 543, 2833, 1369, 707, 1920, 2439, 1432, 1772, 17510, 11352, 888, 2411, 19030, 8245, 2952, 2322, 267, 4332, 1931, 4016, 547, 519, 2990, 1142, 1126, 6585, 538, 741, 1920, 1759, 593, 950, 789, 941, 4535, 269, 15380, 267, 972, 616, 2185, 6688, 540, 4332, 1931, 281, 9510, 267, 21836, 267, 1647, 267, 543, 1152, 1453, 269, 3962, 7121, 2501, 609, 922, 1378, 1305, 540, 2189, 7592, 543, 2591, 1813, 547, 3604, 538, 15366, 6788, 267, 24107, 31195, 267, 543, 1367, 29525, 780, 763, 6196, 652, 4132, 454, 1366, 15365, 2026, 519, 7800, 652, 1126, 267, 596, 2693, 4607, 3768, 22866, 3007, 689, 707, 3237, 1282, 519, 2038, 1296, 540, 707, 1272, 269, 901, 1419, 2164, 538, 2178, 5718, 1983, 267, 5539, 267, 931, 2615, 1190, 1145, 267, 543, 513, 12402, 547, 1246, 3652, 5702, 269, 3958, 267, 1373, 519, 1909, 2203, 543, 1383, 585, 707, 7820, 16254, 949, 1291, 547, 2362, 4081, 9740, 543, 20440, 2157, 780, 4913, 267, 621, 781, 1271, 547, 3314, 602, 891, 7592, 5749, 1405, 16798, 282, 1169, 1268, 814, 741, 2189, 7907, 7488, 540, 4332, 1931, 269, 1280, 3236, 267, 930, 9510, 1453, 949, 1745, 2604, 547, 7683, 856, 704, 845, 741, 16254, 543, 1831, 22350, 8013, 610, 19870, 2065, 780, 763, 5664, 4132, 454, 1366, 19567, 18455, 519, 1647, 1126, 1797, 3395, 909, 1063, 1079, 824, 16254, 945, 4440, 18796, 1454, 540, 707, 3237, 262, 942, 543, 1648, 269, 1677, 1796, 856, 267, 596, 1522, 1020, 5140, 19908, 1983, 267, 5876, 267, 7115, 267, 543, 13916, 269, 4595, 596, 1810, 1405, 2141, 4309, 519, 1482, 1377, 540, 3007, 607, 707, 4587, 543, 7820, 16254, 267, 596, 1223, 1265, 4244, 2081, 547, 2769, 3054, 267, 971, 607, 998, 1148, 267, 2575, 267, 610, 5026, 780, 4002, 519, 17498, 728, 267, 4743, 15763, 610, 31083, 611, 15735, 12212, 949, 1267, 538, 1970, 1582, 12635, 610, 30983, 2509, 707, 16254, 269, 898, 781, 1898, 547, 5431, 602, 3025, 8309, 19918, 547, 519, 1920, 6422, 543, 19262, 3160, 7071, 780, 763, 8479, 652, 4132, 454, 2411, 7042, 25105, 267, 519, 4816, 540, 519, 1920, 256, 10705, 2938, 607, 23406, 267, 15754, 622, 267, 543, 21245, 267, 21836, 1453, 2356, 2972, 2348, 4587, 16254, 1472, 547, 3391, 873, 998, 1585, 5933, 540, 1272, 269, 1358, 4324, 689, 1565, 3407, 1514, 1983, 899, 4687, 267, 2921, 7140, 267, 543, 7829, 4655, 6571, 1247, 4730, 609, 741, 14552, 543, 19946, 780, 7212, 21836, 1453, 4043, 547, 581, 811, 1416, 16451, 543, 1447, 3743, 982, 741, 4587, 16254, 267, 789, 1869, 4865, 6909, 1761, 585, 1967, 952, 2016, 2614, 1489, 543, 19015, 269, 2311, 2053, 267, 2705, 267, 789, 1522, 6560, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 570, 2454, 1200, 1352, 1223, 17277, 610, 2887, 543, 1352, 1590, 454, 19769, 593, 519, 16064, 563, 2691, 12391, 585, 513, 16143, 2212, 267, 8405, 610, 454, 4944, 1400, 5945, 538, 1216, 267, 1697, 8261, 538, 11060, 454, 321, 269, 3038, 3660, 1210, 519, 2212, 10943, 842, 4480, 563, 22998, 609, 824, 1272, 7666, 1841, 267, 9744, 5234, 543, 454, 27273, 6665, 832, 607, 513, 2319, 568, 912, 321, 269, 2290, 540, 519, 3119, 9021, 540, 454, 2791, 616, 513, 1272, 31384, 593, 13178, 10279, 1282, 513, 454, 24650, 344, 1920, 7669, 8400, 269, 898, 568, 1271, 547, 912, 321, 269, 2480, 534, 782, 2127, 538, 707, 8655, 7997, 540, 454, 16225, 720, 543, 4163, 707, 15063, 8546, 609, 596, 454, 520, 782, 2053, 563, 1724, 269, 589, 2212, 267, 8405, 610, 11983, 5945, 10355, 4523, 912, 320, 269, 769, 2620, 1216, 693, 513, 24892, 9744, 563, 7617, 540, 519, 1739, 568, 3020, 827, 23139, 454, 325, 1815, 531, 13847, 630, 288, 15709, 338, 25145, 322, 269, 18859, 1216, 2126, 267, 10151, 7535, 454, 26918, 543, 7525, 1272, 31384, 3007, 563, 2791, 616, 1272, 7666, 8973, 1282, 513, 1920, 7669, 8400, 950, 596, 5469, 513, 7669, 1067, 10977, 2407, 13080, 540, 519, 7535, 896, 1216, 269, 1548, 1058, 596, 798, 888, 322, 269, 8056, 2664, 2299, 3247, 1864, 689, 11173, 519, 454, 13808, 543, 2491, 519, 12178, 540, 519, 2534, 563, 5475, 9427, 513, 6857, 6408, 596, 14353, 814, 513, 11983, 5945, 689, 519, 1216, 267, 596, 1058, 798, 782, 519, 1739, 4849, 912, 322, 269, 16959, 519, 6408, 1055, 543, 4019, 519, 21181, 540, 454, 1704, 269, 5565, 1272, 7666, 1841, 616, 593, 13178, 10279, 1282, 513, 1857, 7669, 269, 1411, 616, 593, 513, 2736, 269, 2290, 1272, 31384, 31591, 519, 9744, 781, 661, 4338, 585, 513, 24760, 12809, 6408, 543, 13788, 519, 1216, 269, 6904, 3268, 1058, 596, 1491, 1985, 547, 4217, 538, 519, 15063, 888, 321, 269, 20780, 519, 1394, 4580, 547, 519, 1272, 31384, 543, 4217, 454, 514, 9427, 519, 6408, 689, 519, 1216, 607, 519, 454, 1278, 1272, 31384, 1579, 1513, 519, 7535, 563, 288, 1272, 31384, 8952, 606, 3750, 593, 519, 29123, 540, 519, 7535, 267, 10992, 519, 5377, 267, 1647, 543, 2627, 540, 519, 1216, 269, 1261, 568, 11744, 912, 321, 269, 13229, 17655, 563, 288, 3993, 543, 1200, 5067, 3802, 936, 547, 596, 282, 1352, 2829, 602, 646, 8593, 593, 519, 7535, 16064, 543, 5734, 1010, 2212, 269, 1411, 5469, 646, 814, 1973, 543, 5714, 4881, 689, 1010, 1274, 543, 646, 568, 4743, 546, 714, 5414, 269, 1548, 3268, 1058, 596, 1491, 1985, 888, 323, 269, 3629, 8261, 32278, 1247, 519, 824, 454, 5158, 7666, 1841, 5965, 547, 1394, 4580, 1864, 563, 763, 1272, 31384, 28643, 26770, 519, 7535, 547, 581, 454, 854, 11112, 538, 519, 12784, 269, 1280, 2500, 19121, 454, 31162, 557, 11462, 267, 1352, 5036, 909, 2789, 1272, 31384, 10473, 547, 2569, 519, 1297, 540, 29123, 14478, 676, 1142, 1272, 31384, 269, 901, 1826, 540, 3795, 568, 1572, 912, 323, 269, 18630, 3795, 563, 2414, 3927, 11571, 267, 596, 1590, 912, 323, 269, 8844, 707, 2212, 543, 4064, 607, 596, 11571, 547, 1413, 454, 29715, 569, 693, 1142, 1858, 2864, 982, 31325, 538, 513, 454, 2691, 3246, 1416, 547, 513, 6857, 1268, 596, 454, 338, 639, 1051, 540, 2348, 513, 2212, 267, 8405, 610, 11983, 5945, 543, 945, 729, 13676, 689, 513, 2887, 593, 519, 7535, 16064, 912, 323, 269, 1411, 798, 711, 1847, 519, 6408, 8259, 519, 6429, 454, 288, 4807, 2458, 1938, 609, 1776, 7669, 1067, 1247, 454, 323, 1516, 883, 519, 7535, 543, 12134, 519, 1272, 31384, 585, 454, 15276, 269, 9453, 3257, 606, 4879, 267, 519, 1272, 31384, 6645, 519, 4807, 1352, 666, 3136, 10977, 269, 634, 4807, 3762, 519, 9744, 543, 11394, 2564, 3007, 689, 513, 6413, 1310, 1352, 5956, 547, 1745, 32688, 17915, 538, 1200, 7916, 543, 7953, 269, 634, 1272, 31384, 949, 581, 912, 7628, 513, 4365, 5829, 1379, 5821, 693, 513, 9744, 267, 596, 1058, 912, 320, 269, 13068, 3025, 689, 519, 7535, 563, 7628, 538, 28129, 2866, 267, 1272, 7666, 1841, 2259, 454, 1492, 3268, 540, 9301, 513, 1253, 5962, 7669, 1067, 2676, 637, 322, 5224, 606, 3742, 6408, 267, 26655, 2359, 543, 6340, 609, 22168, 269, 634, 1272, 7666, 1841, 616, 8026, 2694, 540, 513, 3799, 2187, 321, 269, 17073, 2962, 1544, 563, 2791, 4283, 519, 7344, 4055, 543, 1265, 513, 454, 10852, 5199, 11832, 14084, 593, 1010, 1394, 593, 519, 454, 28776, 1985, 547, 513, 21117, 269, 1411, 2638, 519, 6429, 543, 454, 323, 9057, 710, 621, 568, 2922, 547, 4283, 269, 4438, 707, 3119, 4879, 267, 596, 1265, 519, 6408, 568, 17499, 855, 7244, 269, 1411, 1590, 4734, 547, 1205, 948, 267, 1018, 1058, 454, 320, 269, 8844, 1864, 883, 519, 670, 6993, 269, 2562, 9950, 2529, 269, 2990, 563, 7617, 540, 519, 1739, 568, 3020, 952, 519, 9614, 540, 454, 1492, 9744, 814, 8655, 596, 607, 519, 1152, 1272, 31384, 10647, 19121, 13178, 888, 320, 269, 1411, 723, 1044, 8655, 547, 2698, 3795, 563, 7617, 540, 519, 1739, 4773, 540, 3937, 991, 547, 581, 3362, 3015, 585, 6595, 946, 912, 321, 269, 7982, 4580, 267, 589, 3633, 454, 288, 4480, 547, 7413, 3350, 585, 513, 6408, 454, 5976, 513, 16143, 2212, 267, 8405, 610, 11983, 5945, 945, 568, 3068, 16365, 267, 693, 519, 2627, 543, 538, 1216, 1447, 982, 476, 274, 3952, 2620, 568, 519, 912, 321, 269, 10361, 10943, 842, 4480, 563, 2252, 1614, 1272, 7666, 1841, 616, 593, 10279, 267, 6595, 1394, 5346, 3795, 3217, 1747, 912, 322, 269, 1879, 513, 1272, 31384, 13788, 519, 1216, 585, 513, 15063, 563, 7617, 540, 519, 1739, 568, 519, 2547, 1271, 585, 513, 2922, 1895, 3643, 547, 513, 7535, 888, 322, 269, 23496, 972, 616, 2789, 2238, 9709, 454, 1721, 519, 1895, 454, 4407, 12391, 585, 2576, 609, 513, 16143, 11983, 5945, 267, 596, 5150, 519, 2269, 1186, 593, 513, 1394, 4580, 538, 519, 1739, 1931, 912, 323, 269, 16592, 9221, 267, 25637, 267, 25427, 338, 454, 2005, 568, 519, 3119, 5539, 540, 9744, 454, 2006, 1771, 547, 1683, 782, 855, 799, 540, 454, 323, 269, 3447, 908, 29123, 827, 543, 30191, 454, 763, 9651, 2792, 3044, 2882, 454, 327, 3058, 9049, 9169, 1344, 2139, 269, 1548, 568, 454, 514, 7672, 538, 713, 1344, 888, 321, 269, 1230, 13935, 1344, 827, 1018, 1826, 540, 454, 23755, 338, 616, 538, 946, 693, 519, 9744, 454, 288, 19121, 546, 1161, 883, 519, 13719, 1439, 540, 519, 22272, 7535, 269, 1411, 14353, 1352, 814, 513, 2212, 267, 8405, 610, 11983, 5945, 1317, 1352, 814, 912, 322, 269, 10552, 538, 519, 10772, 543, 9224, 563, 306, 1115, 609, 2147, 2474, 454, 16908, 2871, 8973, 4530, 454, 16908, 2871, 8973, 4530, 454, 13563, 4414, 9061, 5020, 31384, 18873, 589, 454, 8448, 5036, 676, 713, 17082, 454, 4338, 29583, 13658, 2280, 3184, 476, 1321, 454, 294, 990, 13047, 3184, 476, 1556, 454, 8448, 13658, 2280, 5036, 454, 17445, 30880, 15789, 454, 288, 261, 303, 3848, 476, 277, 454, 288, 16064, 540, 6486, 454, 18800, 2657, 3163, 0, 8489, 616, 3615, 540, 4704, 1031, 888, 30606, 338, 540, 13129, 616, 3615, 1031, 547, 2099, 513, 1268, 267, 2534, 610, 2680, 269, 3683, 942, 519, 1268, 16137, 602, 519, 1843, 6763, 585, 602, 1268, 267, 2534, 610, 2680, 269, 27014, 540, 13129, 616, 1031, 547, 948, 513, 1268, 1174, 1018, 568, 8345, 538, 741, 1604, 543, 849, 581, 1031, 547, 948, 1004, 1118, 5079, 563, 1432, 616, 3615, 1031, 585, 2792, 888, 30606, 338, 616, 1031, 547, 2099, 2238, 267, 4025, 267, 543, 1004, 269, 6201, 540, 891, 3615, 1331, 281, 18282, 630, 328, 4318, 1421, 4062, 540, 24095, 267, 24120, 267, 3574, 267, 5068, 1070, 9910, 2137, 267, 4773, 540, 519, 1483, 1843, 267, 543, 3615, 602, 616, 4010, 519, 1482, 607, 1346, 1373, 1031, 563, 1692, 798, 596, 4001, 3615, 540, 8100, 888, 8196, 513, 1129, 543, 5924, 2161, 547, 873, 552, 3052, 269, 968, 4707, 585, 513, 3802, 269, 968, 476, 273, 269, 2991, 4758, 519, 8629, 540, 13129, 596, 1058, 1376, 519, 2534, 5612, 547, 948, 873, 1174, 519, 4276, 1063, 519, 1843, 543, 519, 2534, 563, 8005, 1281, 3615, 540, 4704, 948, 888, 30606, 338, 540, 4704, 616, 3615, 602, 2099, 513, 1268, 267, 1843, 267, 4087, 630, 2897, 264, 610, 2680, 630, 13808, 1040, 1358, 666, 948, 1453, 609, 2792, 2042, 543, 3606, 1565, 2115, 269, 1358, 948, 1453, 547, 1451, 1018, 568, 8345, 538, 741, 1554, 563, 1432, 616, 623, 4488, 306, 6698, 888, 303, 4488, 306, 568, 513, 1826, 540, 4119, 618, 894, 543, 20010, 9442, 602, 3096, 3308, 6698, 547, 4001, 519, 15226, 547, 5968, 609, 3237, 267, 1416, 3464, 267, 3610, 543, 9905, 269, 634, 2832, 568, 547, 4001, 18532, 267, 6198, 2792, 543, 547, 1450, 3755, 547, 5968, 741, 6499, 543, 2115, 563, 1432, 568, 513, 2698, 2792, 1935, 888, 1432, 568, 513, 2698, 2792, 1935, 286, 634, 2698, 2792, 1935, 568, 827, 4466, 543, 1210, 519, 1318, 4999, 540, 2792, 2409, 585, 1142, 1268, 269, 901, 1935, 2337, 606, 1367, 547, 1106, 4296, 267, 5849, 3811, 4205, 543, 7028, 1344, 15377, 543, 7391, 563, 1432, 616, 519, 2010, 540, 2792, 888, 26668, 9537, 540, 9442, 454, 268, 7638, 4472, 9442, 269, 7638, 4472, 2792, 4386, 950, 649, 4497, 538, 6340, 609, 1866, 563, 268, 6348, 13305, 518, 4472, 9442, 269, 1548, 649, 798, 1247, 649, 3717, 1419, 3081, 811, 982, 519, 4890, 1913, 563, 268, 18838, 9442, 563, 268, 10439, 9442, 563, 1432, 568, 2956, 2792, 888, 763, 2792, 6770, 1004, 1927, 267, 6251, 547, 1142, 824, 269, 634, 2792, 568, 606, 1271, 2359, 1599, 5702, 2404, 609, 782, 824, 31707, 3252, 269, 898, 13123, 519, 7934, 1063, 2043, 543, 2516, 998, 2095, 540, 1344, 543, 1620, 1063, 873, 563, 1692, 798, 4704, 3615, 1489, 2792, 888, 2304, 1843, 540, 4704, 568, 1022, 1843, 799, 568, 1031, 18928, 547, 2099, 606, 6221, 267, 2534, 267, 1747, 267, 610, 1268, 269, 4197, 1483, 3615, 568, 519, 1101, 3942, 540, 12572, 1646, 269, 27014, 540, 4704, 616, 1031, 609, 2043, 945, 1265, 621, 2352, 547, 1174, 9275, 1913, 267, 4191, 267, 6698, 610, 11147, 563, 1432, 616, 623, 1815, 338, 6698, 888, 1432, 616, 519, 3670, 11775, 540, 623, 4488, 306, 888, 763, 623, 4488, 306, 1935, 4386, 538, 476, 277, 11775, 563, 268, 18001, 476, 272, 1107, 1855, 2851, 519, 3593, 2048, 1692, 547, 5968, 20371, 268, 18001, 476, 273, 1107, 1855, 2851, 2048, 291, 2700, 543, 18094, 20371, 268, 18001, 476, 274, 1107, 1855, 2851, 2048, 303, 27348, 26521, 685, 630, 24392, 930, 3755, 1020, 538, 1912, 1162, 476, 272, 1299, 476, 273, 994, 268, 18001, 476, 275, 1107, 1855, 2851, 519, 3593, 547, 1628, 513, 2048, 306, 27542, 2497, 20371, 1692, 798, 596, 2936, 623, 4488, 306, 538, 519, 4928, 888, 1692, 547, 2422, 623, 4488, 306, 454, 268, 4518, 609, 513, 4633, 25082, 2619, 6048, 630, 306, 10861, 264, 547, 4001, 707, 1126, 875, 547, 946, 623, 4488, 306, 563, 268, 12315, 707, 1126, 1896, 6486, 609, 824, 5172, 3688, 593, 621, 563, 268, 1879, 707, 1126, 5526, 4625, 6899, 609, 623, 4488, 306, 267, 5000, 1864, 547, 2253, 547, 1106, 5220, 563, 1692, 616, 3615, 540, 4704, 1031, 538, 2792, 888, 4913, 267, 713, 1106, 540, 2792, 666, 849, 581, 1031, 538, 1082, 811, 1950, 2081, 543, 519, 1367, 666, 5968, 267, 1118, 5079, 267, 543, 1451, 1893, 269, 1403, 649, 666, 1020, 519, 946, 540, 18282, 267, 3615, 543, 6698, 267, 649, 666, 2087, 12438, 1049, 1983, 267, 15971, 267, 1020, 1893, 2035, 267, 543, 2792, 563, 1692, 616, 3615, 540, 4704, 1031, 538, 4948, 1272, 888, 15953, 338, 540, 4704, 1548, 568, 606, 1843, 540, 4704, 286, 27014, 540, 4704, 616, 15889, 267, 3818, 1606, 29022, 3615, 1031, 547, 2099, 513, 1268, 267, 2534, 610, 2680, 269, 3683, 942, 513, 1126, 666, 1451, 602, 519, 1843, 6763, 585, 1945, 269, 27014, 540, 4704, 616, 1031, 547, 948, 513, 1268, 1174, 1018, 568, 8345, 538, 741, 1604, 563, 2691, 547, 946, 23877, 543, 3615, 540, 4704, 888, 24058, 338, 543, 3615, 540, 4704, 616, 1390, 267, 543, 666, 581, 1031, 538, 865, 1082, 2081, 269, 1358, 616, 2523, 3730, 609, 1453, 945, 723, 4049, 1565, 7965, 267, 2027, 2115, 267, 10295, 610, 2792, 8488, 269, 10439 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1007, 835, 610, 851, 540, 835, 2008, 347, 534, 10811, 1475, 341, 281, 547, 1039, 8513, 547, 513, 2197, 267, 1533, 267, 610, 3148, 267, 3335, 676, 21037, 282, 630, 29825, 264, 606, 1840, 602, 11498, 513, 1292, 2679, 2008, 347, 2889, 8010, 1475, 341, 281, 547, 14773, 610, 1533, 1945, 15597, 543, 3196, 2685, 2008, 347, 1260, 21215, 1475, 341, 281, 547, 1331, 610, 2874, 540, 1945, 282, 519, 957, 540, 1818, 909, 610, 8108, 1945, 2008, 347, 785, 11163, 1475, 333, 281, 5191, 689, 1776, 779, 610, 1866, 685, 1852, 610, 3310, 2008, 347, 1440, 4532, 760, 1275, 1475, 333, 281, 513, 8513, 12199, 676, 513, 19036, 610, 5918, 651, 2008, 347, 12584, 22066, 1475, 29951, 281, 17528, 547, 9585, 606, 5497, 1267, 610, 2348, 606, 30369, 6364, 282, 711, 3811, 2008, 347, 516, 8010, 1475, 341, 281, 547, 1491, 1394, 1945, 5892, 4503, 267, 2016, 267, 610, 6976, 267, 610, 2307, 547, 723, 621, 1394, 2008, 347, 15404, 3916, 1475, 333, 281, 513, 1246, 518, 540, 519, 4984, 540, 5771, 2008, 347, 5632, 13023, 622, 1475, 333, 281, 606, 9099, 1533, 896, 519, 5718, 540, 606, 9099, 12403, 731, 609, 519, 2140, 540, 1608, 13023, 2008, 347, 2102, 2045, 1475, 29951, 281, 540, 610, 11341, 547, 6090, 32372, 2694, 540, 519, 5027, 538, 2281, 264, 610, 519, 2257, 540, 6090, 2008, 347, 704, 1417, 720, 1475, 333, 281, 519, 1297, 267, 2179, 267, 610, 2557, 540, 1945, 267, 799, 568, 2356, 519, 2179, 829, 4627, 2008, 347, 9188, 25728, 1475, 341, 281, 547, 1847, 18746, 543, 2539, 282, 547, 2097, 689, 267, 610, 547, 581, 4448, 676, 513, 2078, 540, 1973, 2008, 347, 325, 17213, 1475, 29951, 281, 9237, 543, 25442, 282, 1930, 543, 6596, 538, 4082, 2008, 347, 629, 323, 6510, 1475, 341, 281, 547, 2285, 909, 267, 15646, 8784, 267, 610, 882, 22055, 880, 513, 17599, 267, 1318, 267, 610, 5539, 2008, 347, 4364, 8148, 1475, 29951, 281, 11341, 547, 610, 10362, 547, 519, 5664, 6520, 602, 568, 585, 519, 1974, 540, 589, 6185, 269, 7785, 547, 589, 6185, 269, 476, 13970, 271, 2008, 347, 5586, 754, 1475, 333, 281, 606, 2025, 1650, 602, 949, 610, 949, 711, 581, 4977, 3823, 930, 7606, 543, 2621, 282, 513, 1134, 8153, 1268, 945, 568, 25343, 676, 1866, 585, 513, 1279, 942, 267, 3226, 538, 513, 1880, 2361, 2008, 347, 330, 9519, 1475, 333, 281, 513, 15841, 17199, 538, 519, 2250, 267, 3335, 835, 540, 15626, 4332, 8036, 547, 4339, 538, 24915, 282, 630, 339, 3736, 538, 4279, 6628, 264, 513, 1268, 28165, 676, 519, 19988, 585, 2123, 20519, 2008, 347, 6635, 11037, 1014, 1475, 29951, 281, 11341, 547, 4622, 14880, 543, 519, 8941, 543, 17691, 2404, 609, 1864, 2008, 347, 333, 984, 548, 2006, 1475, 333, 281, 513, 812, 540, 1164, 7584, 610, 4567, 2008, 347, 322, 5971, 748, 1475, 29951, 281, 2111, 547, 3068, 543, 4308, 609, 8594, 610, 4250, 1510, 1166, 514, 4221, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2813, 9746, 15523, 538, 1931, 547, 2344, 811, 9921, 1543, 982, 568, 3335, 2404, 609, 922, 17514, 1222, 1920, 15129, 12478, 269, 634, 2754, 568, 1655, 1634, 585, 519, 2472, 540, 922, 4670, 18638, 267, 32240, 18557, 2289, 3930, 267, 799, 568, 2221, 835, 540, 519, 4102, 543, 1655, 8153, 801, 3930, 538, 1977, 21576, 269, 18557, 781, 824, 1614, 1292, 15523, 616, 32240, 18557, 20088, 543, 1763, 2176, 267, 18557, 9012, 17978, 267, 543, 18557, 19901, 15733, 543, 20308, 9012, 269, 18557, 849, 22595, 543, 13333, 519, 13235, 13739, 8613, 3060, 282, 10814, 8613, 5121, 971, 607, 18557, 19305, 267, 661, 9915, 301, 267, 589, 266, 292, 17978, 267, 543, 5131, 845, 282, 13629, 267, 23335, 2358, 267, 2575, 267, 543, 16222, 15523, 282, 543, 22595, 543, 27121, 476, 1691, 6249, 11614, 1472, 519, 1158, 269, 634, 2754, 814, 1044, 513, 5057, 540, 519, 22337, 13643, 11633, 19105, 2094, 2904, 476, 277, 267, 476, 1960, 272, 269, 12130, 4486, 31040, 267, 606, 2038, 543, 1134, 8153, 20419, 5137, 540, 519, 2754, 267, 568, 513, 3119, 3090, 543, 544, 2444, 582, 585, 18557, 269, 0, 1103, 713, 18248, 594, 786, 581, 1603, 827, 2620, 5498, 320, 7068, 543, 2713, 8093, 563, 28308, 15798, 616, 2808, 547, 581, 476, 1220, 332, 2620, 543, 3564, 1141, 1100, 1769, 689, 519, 3141, 666, 23309, 269, 2060, 1100, 1769, 547, 1489, 519, 6337, 24678, 7103, 1082, 10196, 5156, 602, 972, 941, 1100, 1272, 11478, 538, 891, 17909, 269, 1717, 1631, 649, 917, 7064, 547, 6639, 13120, 649, 666, 6494, 20140, 1149, 547, 1294, 1082, 2620, 5498, 320, 7068, 563, 29670, 8093, 568, 606, 11248, 602, 5654, 2147, 547, 519, 15455, 543, 2713, 3448, 540, 519, 15455, 630, 22261, 864, 330, 267, 476, 1960, 273, 1040, 1280, 6634, 540, 1296, 621, 568, 5156, 602, 891, 7103, 723, 2760, 4957, 922, 19916, 269, 0, 32417, 689, 16816, 13240, 2593, 454, 763, 10072, 540, 1558, 27957, 15033, 853, 20942, 19905, 28857, 630, 17307, 6347, 264, 689, 6705, 3366, 547, 519, 6284, 540, 513, 1990, 3019, 5328, 19182, 6347, 22871, 630, 4306, 4375, 279, 264, 538, 14918, 538, 2342, 543, 11992, 630, 298, 327, 13860, 543, 1866, 476, 1220, 279, 267, 3864, 5253, 8881, 16958, 630, 9128, 6347, 264, 476, 1220, 280, 1040, 10765, 2090, 7000, 602, 5254, 280, 568, 519, 12880, 13184, 23938, 19182, 6347, 630, 6369, 5336, 305, 6347, 264, 8833, 538, 3624, 630, 290, 14241, 543, 1866, 476, 1220, 280, 267, 15050, 629, 817, 328, 543, 1866, 476, 1220, 280, 1916, 1103, 15173, 15158, 630, 295, 298, 1070, 6477, 8105, 814, 17379, 6825, 569, 267, 543, 519, 476, 2412, 6967, 11396, 267, 1142, 609, 1472, 476, 7785, 2831, 6854, 538, 4988, 9205, 23445, 267, 3132, 1472, 476, 6110, 14918, 829, 1554, 269, 27051, 476, 11152, 829, 1298, 540, 519, 476, 29121, 271, 14918, 1793, 4381, 1229, 3232, 538, 670, 298, 616, 16487, 676, 5721, 689, 1896, 2127, 540, 22163, 3624, 547, 513, 3844, 705, 16201, 597, 269, 5254, 280, 814, 1044, 4080, 689, 11396, 538, 7187, 3624, 630, 290, 14241, 543, 1866, 476, 1220, 280, 1070, 855, 1100, 1239, 616, 2139, 827, 519, 1826, 543, 4908, 540, 15829, 5336, 305, 6347, 538, 6477, 11396, 538, 7013, 3624, 267, 1141, 972, 616, 3875, 1360, 1804, 24284, 563, 1607, 1353, 11567, 31566, 3928, 543, 27537, 15829, 5336, 305, 6347, 676, 13418, 10386, 693, 1079, 1804, 8397, 14021, 11396, 538, 2871, 836, 323, 784, 630, 325, 1301, 476, 272, 267, 476, 10755, 5439, 282, 3484, 476, 273, 267, 476, 5611, 5439, 264, 543, 1079, 1507, 8397, 11396, 538, 670, 298, 630, 325, 1301, 476, 272, 267, 476, 1911, 5439, 282, 3484, 476, 273, 267, 476, 6344, 5439, 1040, 11485, 540, 3444, 9762, 8727, 1282, 3560, 543, 26718, 729, 12290, 538, 15829, 5336, 305, 6347, 24308, 14918, 563, 301, 29569, 2220, 11274, 630, 9558, 342, 11274, 282, 6481, 18514, 543, 16811, 264, 941, 6394, 689, 5111, 3160, 2338, 540, 649, 534, 619, 267, 1710, 29913, 543, 9960, 521, 3298, 693, 782, 11396, 630, 8368, 476, 272, 1040, 2311, 519, 670, 298, 11396, 1152, 267, 2947, 2825, 2220, 11274, 689, 3484, 986, 2812, 267, 1793, 25744, 267, 14918, 262, 6704, 1216, 11149, 543, 4600, 262, 25192, 2560 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2356, 513, 3126, 540, 2621, 799, 1291, 547, 519, 1646, 540, 519, 2783, 543, 602, 267, 1247, 621, 568, 1419, 2404, 609, 2025, 2085, 267, 602, 7681, 3884, 1406, 2614, 547, 9594, 30169, 269, 1452, 1880, 2621, 4125, 1312, 519, 946, 543, 15059, 540, 519, 20162, 607, 1134, 607, 519, 2504, 543, 5826, 538, 519, 10549, 269, 634, 10549, 799, 616, 2500, 538, 616, 2356, 519, 3677, 2597, 24481, 10549, 971, 607, 519, 19704, 543, 25637, 269, 1452, 1683, 519, 5354, 540, 519, 31289, 950, 649, 616, 3257, 1022, 2597, 24481, 3635, 971, 607, 6972, 610, 4881, 563, 288, 628, 2280, 525, 945, 1685, 16625, 5163, 5751, 267, 971, 607, 4737, 532, 610, 17281, 267, 786, 1265, 602, 30169, 666, 849, 1020, 538, 519, 23969, 543, 13105, 2127, 563, 12867, 3494, 602, 513, 4719, 5057, 949, 849, 581, 3743, 585, 519, 1646, 855, 723, 711, 2943, 598, 13254, 1336, 513, 3095, 269, 2904, 723, 1336, 513, 2362, 9756, 538, 519, 1646, 540, 30169, 950, 513, 2385, 814, 519, 2783, 543, 513, 1126, 13604, 2919, 621, 563, 12867, 17695, 1125, 602, 513, 5444, 4857, 538, 519, 1032, 476, 1220, 271, 21560, 519, 2504, 540, 7510, 5268, 4944, 622, 267, 799, 29620, 519, 5250, 540, 7777, 12074, 538, 519, 10549, 269, 1358, 17695, 1125, 602, 713, 1880, 3114, 949, 2149, 519, 20162, 543, 941, 9415, 547, 1265, 602, 5111, 476, 2568, 260, 540, 2043, 945, 7985, 689, 30169, 798, 723, 7777, 12074, 538, 741, 10549, 267, 15738, 547, 519, 8446, 540, 713, 5444, 607, 513, 9594, 547, 30169, 563, 31714, 945, 7985, 689, 30169, 786, 849, 8858, 4887, 8467, 538, 1804, 4887, 2516, 267, 2523, 519, 22712, 878, 788, 6091, 269, 12824, 267, 2705, 267, 616, 711, 2386, 952, 621, 568, 519, 12263, 538, 519, 12597, 799, 3123, 519, 1367, 547, 6175, 741, 3635, 543, 4061, 4887, 4222, 610, 952, 621, 568, 519, 12263, 799, 3123, 519, 6175, 538, 4887, 4222, 269, 1358, 849, 17695, 1125, 602, 713, 8467, 267, 2523, 538, 519, 22712, 878, 788, 6091, 267, 949, 2392, 919, 519, 1646, 540, 14642, 572, 334, 12263, 543, 2965, 9594, 519, 23979, 540, 519, 10549, 269, 12824, 798, 917, 602, 519, 6793, 519, 4887, 2527, 267, 519, 1732, 2111, 519, 1560, 568, 2111, 547, 2149, 519, 10549, 563, 8448, 26715, 4128, 799, 949, 581, 3238, 538, 519, 1646, 540, 713, 2783, 1331, 2043, 945, 616, 968, 11312, 682, 13949, 892, 610, 968, 30893, 1442, 9054, 539, 6100, 12824, 723, 1336, 602, 891, 2043, 616, 811, 2693, 547, 1020, 10728, 1055, 547, 12263, 538, 741, 19704, 1247, 824, 11001, 814, 1336, 602, 2043, 4535, 609, 3026, 1407, 945, 1810, 1406, 2743, 12347, 723, 20162, 602, 3884, 1406, 4646, 7157, 269, 901, 19753, 5099, 873, 547, 519, 5957, 543, 15237, 2404, 609, 30169, 563, 17780, 593, 713, 3105, 1382, 7189, 849, 917, 602, 7063, 1404, 513, 1804, 851, 538, 519, 2242, 602, 2049, 538, 1804, 10549, 799, 1291, 547, 27777, 24763, 269, 15706, 945, 723, 12597, 7063, 2038, 538, 1272, 723, 3254, 513, 476, 1626, 260, 811, 10171, 547, 1020, 12263, 538, 519, 4299, 12597, 982, 1346, 945, 1185, 1100, 5945, 269, 4033, 2564, 2175, 799, 814, 1044, 1336, 547, 1404, 513, 851, 1646, 540, 713, 2783, 568, 8280, 17232, 807, 267, 1282, 799, 2043, 723, 519, 1761, 547, 1291, 883, 519, 10549, 543, 3441, 519, 20162, 267, 610, 2043, 609, 5312, 30456, 610, 15554, 690, 719, 945, 723, 7777, 12074, 538, 519, 10549, 689, 519, 14848, 269, 10251, 2043, 945, 2907, 7985, 689, 27131, 12263, 666, 849, 1397, 519, 14124, 2360, 540, 27777, 24763, 1317, 540, 519, 12982, 2242, 3361, 547, 519, 20162, 563, 7212, 3173, 543, 13500, 723, 711, 4628, 2697, 519, 3123, 540, 30169, 789, 723, 4857, 12153, 543, 19753, 19397, 2175, 799, 666, 581, 9619, 538, 1931, 547, 5732, 8488, 519, 12614, 610, 3247, 519, 1646, 540, 713, 11213, 2068, 563, 300, 20667, 14986, 4173, 2125, 568, 1141, 649, 4363, 596, 6718, 782, 540, 707, 5214, 267, 3552, 18705, 13557, 11922, 267, 14546, 267, 29225, 543, 6986, 267, 16955, 1898, 11041, 2336, 25898, 596, 899, 547, 1451, 519, 7067, 1148, 540, 589, 668, 7752, 2805, 267, 7822, 14727, 15009, 531, 10657, 610, 4676, 2716, 1108, 286, 28161, 606, 589, 668, 7752, 2805, 31943, 518, 267, 7822, 267, 32423, 31943, 518, 267, 610, 513, 19995, 540, 4676, 2716, 1108, 998, 519, 13995, 1753, 1353, 543, 3845, 19543, 6030, 693, 20010, 23046, 9142, 2336, 9596, 811, 827, 2473, 339, 754, 21509, 1107, 5843, 9539, 583, 3234, 757, 1107, 634, 16918, 540, 2067, 9360, 269, 11146, 1272, 267, 14970, 7043, 518, 2336, 2690, 2871, 5875, 3975, 267, 13229, 267, 476, 1911, 260, 7849, 4173, 4472, 3816, 12203, 2073, 5225, 3643, 7111, 3816, 12203, 454, 6701, 596, 3168, 585, 2298, 8324, 267, 2732, 11226, 543, 1072, 9360, 286, 16731, 519, 2657, 26929, 19255, 1107, 3810, 5227, 676, 19760, 295, 2336, 7312, 5131, 7300, 2657, 661, 1504, 1862, 3816, 12203, 275, 2593, 2336, 2252, 596, 10150, 713, 2022, 267, 1118, 2386, 596, 24049, 547, 1250, 681, 7704, 3049, 256, 0, 1428, 628, 540, 26836, 5633, 14626, 3660, 609, 4873, 476, 276, 628, 568, 1634, 607, 2622, 5113, 4303, 269, 901, 1032, 267, 519, 1554, 4386, 1247, 519, 2817, 30767, 6554, 568, 3056, 519, 2229, 12602, 563, 3682, 339, 1254, 540, 519, 5113, 267, 607, 16764, 779, 5539, 267, 3340, 1367, 543, 1895, 3646, 269, 21727, 532, 519, 1604, 568, 519, 10279, 540, 782, 1004, 269, 31471, 26663, 16589, 568, 519, 17082, 543, 2149, 528, 540, 519, 3618, 543, 1169, 13442, 540, 519, 3618, 543, 13140, 568, 9299, 2358, 16589, 269, 5274, 5630, 267, 519, 1608, 13023, 543, 13442, 540, 31471, 26663, 16589, 267, 568, 3743, 547, 2119, 585, 1646, 543, 4070, 540, 519, 3618, 563, 3682, 339, 1254, 540, 519, 1604, 568, 2808, 607, 835, 540, 519, 1034, 1713, 6927, 543, 849, 4145, 540, 519, 1480, 2146, 538, 519, 5736, 540, 2872, 543, 2029, 282, 32047, 267, 519, 5860, 538, 20651, 2694, 540, 519, 1158, 814, 2799, 519, 2042, 269, 6684, 267, 538, 938, 2197, 267, 6932, 543, 2810, 540, 2029, 543, 2810, 2551, 723, 7494, 8697, 519, 1604, 1247, 2919, 2477, 723, 3144, 2101, 3268, 547, 8190, 519, 1604, 269, 1809, 267, 19962, 547, 3875, 2591, 538, 938, 2197, 267, 519, 1966, 7930, 10301, 547, 922, 2629, 3942, 563, 291, 652, 2315, 540, 519, 1604, 538, 10053, 543, 20651, 2694, 540, 519, 1158, 27938, 519, 1272, 540, 519, 11317, 269, 16480, 267, 1082, 3646, 616, 1500, 538, 519, 1158, 547, 2149, 519, 1604, 267, 855, 519, 7264, 540, 519, 3618, 10093, 1406, 12913, 1018, 568, 2556, 547, 581, 2944, 563, 293, 6136, 267, 606, 5604, 1572, 7025, 10466, 10837, 814, 1044, 3964, 538, 15787, 799, 4769, 1406, 2291, 538, 5449, 6608, 609, 519, 1699, 2497, 543, 570, 3036, 338, 269, 769, 938, 2197, 267, 3527, 616, 1373, 3144, 547, 2149, 1604, 538, 19220, 540, 1585, 2591, 538, 713, 2543, 563, 27063, 540, 519, 1604, 23507, 519, 3618, 899, 513, 10516, 540, 31471, 26663, 16589, 538, 1931, 547, 3895, 1857, 4656, 585, 7863, 519, 1604, 267, 543, 547, 5000, 519, 1158, 547, 1832, 519, 3618, 2973, 543, 2061, 922, 9552, 543, 5533, 563, 16352, 713, 5133, 609, 2463, 547, 519, 1604, 6157, 3340, 547, 1689, 519, 1480, 779, 2623, 827, 519, 2470, 607, 1134, 607, 519, 1259, 547, 2661, 543, 17908, 519, 7068, 593, 519, 3618, 269, 12292, 593, 519, 3618, 3226, 5017, 616, 13344, 540, 31471, 26663, 16589, 799, 1058, 581, 6870, 538, 7156, 540, 519, 3909, 9753, 543, 4170, 540, 519, 1158, 563, 29936, 602, 649, 616, 6849, 3823, 1604, 616, 8537, 540, 17717, 538, 1114, 16899, 267, 2810, 2551, 538, 2462, 4872, 267, 4070, 540, 1875, 13807, 10165, 6306, 906, 543, 5656, 538, 799, 6042, 540, 1604, 723, 1044, 16053, 267, 7677, 2167, 267, 536, 6033, 625, 267, 856, 540, 4266, 17088, 6472, 267, 711, 11287, 519, 27194, 540, 2127, 1472, 519, 8075, 543, 865, 593, 269, 1452, 2042, 723, 12735, 4240, 938, 2197, 543, 1004, 799, 649, 991, 547, 1491, 2962, 1996, 543, 2061, 519, 5533, 540, 519, 1604, 547, 519, 1655, 540, 938, 2702, 563, 19013, 267, 2923, 616, 711, 18906, 633, 2614, 547, 3391, 267, 18663, 543, 3895, 519, 2528, 540, 1604, 4027, 269, 1306, 606, 1271, 2339, 585, 3025, 779, 1272, 543, 1072, 267, 519, 991, 547, 1604, 4027, 568, 5433, 811, 982, 1022, 824, 942, 563, 2005, 568, 12479, 602, 782, 4052, 3800, 547, 581, 8045, 1369, 519, 14232, 1296, 538, 1931, 547, 4481, 723, 513, 2635, 543, 561, 22133, 1604, 267, 543, 547, 1205, 7759, 540, 2713, 538, 10053, 543, 22125, 4872, 607, 1134, 607, 5838, 513, 28292, 543, 24526, 5108, 547, 519, 2197, 563, 3080, 540, 519, 14422, 540, 519, 2817, 30767, 6554, 568, 547, 581, 18906, 633, 547, 2149, 519, 1604, 269, 634, 2229, 568, 5462, 547, 960, 547, 519, 1655, 540, 2702, 538, 713, 2543, 607, 1604, 267, 899, 3354, 267, 568, 3810, 1271, 585, 519, 2197, 269, 1403, 2112, 543, 22584, 21279, 938, 1004, 267, 2825, 14784, 568, 2484, 5906, 543, 5739, 585, 938, 2729, 543, 15920, 7366, 540, 938, 11570, 547, 519, 10506, 543, 524, 655, 2678, 625, 593, 3232, 4493, 269, 0, 272, 7160, 540, 589, 1007, 543, 4824, 1686, 540, 519, 18326, 538, 8581, 538, 519, 1032, 476, 9692, 279, 1336, 538, 519, 17048, 563, 347, 8448, 10643, 1475, 9692, 279, 9721, 31052, 542, 14635, 630, 289, 10667, 5398, 7732, 1070, 9721, 3778, 543, 9177, 14635, 630, 289, 10667, 5398, 7732, 10245, 347, 13750, 618, 1475, 2421, 590, 11482, 269, 4856, 3419, 534, 2008, 347, 6944, 1026, 1903, 1475, 310, 12291, 267, 6276, 267, 17002, 267, 19468, 1399, 267, 14732, 717, 1421, 5449, 8227, 2008, 347, 9448, 4147, 5874, 1475, 6395, 280, 5392, 1547, 290, 6924, 476, 7277, 271, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 12858, 267, 476, 6642, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 6642, 2008, 2304, 11137, 540, 519, 31052, 542, 7338, 623, 2586, 5069, 5283, 617, 1090, 5597, 3964, 519, 2796, 540, 519, 4279, 9721, 31052, 542, 538, 9721, 3778, 267, 538, 519, 840, 2183, 547, 1010, 1433, 267, 634, 5729, 540, 23068, 834, 763, 18326, 540, 568, 519, 1034, 10795, 543, 13249, 2680, 538, 9721, 1686, 1063, 519, 15243, 924, 10617, 543, 519, 4279, 5482, 710, 269, 634, 11135, 540, 966, 710, 3258, 10830, 630, 296, 16194, 281, 6869, 932, 333, 665, 674, 327, 6403, 617, 327, 14255, 575, 25519, 528, 1070, 729, 606, 6278, 1282, 519, 9721, 31052, 542, 540, 593, 476, 2641, 4873, 950, 522, 3703, 7980, 9250, 606, 4323, 593, 966, 710, 3258, 10830, 3544, 2037, 333, 4593, 20564, 267, 6019, 1284, 343, 5112, 267, 519, 4102, 3786, 543, 22071, 540, 519, 1284, 343, 5112, 2136, 6825, 513, 7432, 1448, 538, 519, 18326, 267, 607, 621, 729, 519, 2063, 3801, 676, 19715, 281, 476, 7367, 4113, 1789, 12664, 4962, 16357, 301, 476, 277, 4113, 4097, 12664, 1556, 16357, 310, 1315, 11019, 301, 4586, 1103, 634, 5729, 540, 519, 3943, 7338, 4469, 534, 12298, 647, 12923, 538, 4758, 513, 1514, 25135, 14653, 540, 519, 942, 543, 2982, 519, 18326, 689, 1082, 18312, 543, 15852, 2798, 540, 2070, 269, 634, 1433, 568, 13085, 569, 2854, 543, 513, 1390, 9740, 6236, 901, 729, 606, 5863, 1433, 543, 3460, 998, 513, 3184, 540, 9721, 1686, 602, 568, 7361, 16618, 270, 276, 269, 634, 29547, 634, 5980, 540, 2136, 9721, 5443, 729, 8547, 538, 645, 1409, 770, 538, 4706, 6667, 729, 513, 1762, 25212, 15818, 267, 634, 2128, 323, 16423, 324, 570, 821, 267, 945, 729, 14376, 547, 21853, 3122, 1310, 13629, 513, 30732, 2280, 13886, 834, 2304, 4661, 593, 15773, 540, 519, 23597, 540, 8581, 2668, 8832, 3465, 2421, 614, 2103, 849, 11124, 689, 3909, 7130, 267, 1498, 1447, 16094, 267, 543, 1185, 12842, 14081, 534, 4586, 19853, 26481, 18326, 540, 2073, 2705, 267, 8507, 538, 519, 2920, 540, 5742, 267, 799, 4547, 8581, 512, 7660, 1869, 896, 3703, 1852, 269, 7905, 1547, 9721, 31052, 542, 2904, 3367, 2630, 585, 606, 1349, 689, 519, 282, 834, 289, 1409, 770, 5240, 12072, 11016, 267, 6902, 8525, 281, 476, 273, 269, 8281, 519, 2407, 2985, 543, 1205, 519, 3377, 607, 621, 729, 4080, 538, 634, 1739, 12971, 2316, 4753, 729, 7856, 538, 25212, 593, 519, 476, 2190, 628, 2904, 563, 288, 3803, 2930, 1867, 13886, 1098, 2000, 3133, 541, 3146 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 13849, 20400, 269, 27096, 673, 7070, 476, 1001, 280, 282, 2412, 281, 14321, 278, 1700, 4510, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 1911, 7761, 268, 25171, 268, 271, 4343, 4649, 14870, 454, 288, 7079, 328, 595, 269, 3525, 328, 267, 962, 601, 6511, 623, 269, 18961, 267, 9478, 681, 269, 1696, 620, 269, 4165, 773, 335, 850, 10364, 3075, 1875, 611, 11447, 25221, 12963, 20560, 23069, 4093, 269, 27096, 344, 269, 476, 1001, 275, 8734, 476, 1839, 282, 476, 10695, 263, 2420, 2567, 476, 21172, 276, 4534, 3445, 269, 2710, 328, 281, 1015, 269, 13199, 273, 270, 310, 301, 299, 269, 1822, 1822, 1822, 1822, 9083, 274, 10422, 10157, 2839, 281, 6751, 290, 275, 2190, 279, 4510, 563, 291, 2607, 10220, 540, 1453, 543, 10708, 609, 20560, 269, 2704, 328, 13019, 8663, 1306, 14508, 6261, 334, 30377, 1744, 4275, 345, 2160, 540, 6481, 7070, 267, 4972, 540, 27435, 267, 715, 655, 1794, 2465, 11233, 267, 4537, 4275, 345, 267, 674, 1513, 476, 278, 866, 4391, 268, 13647, 7906, 267, 9459, 563, 2704, 13206, 4472, 320, 589, 267, 1325, 26588, 604, 320, 589, 267, 1325, 544, 889, 1046, 589, 267, 670, 674, 3430, 537, 3873, 267, 8621, 2763, 327, 322, 717, 267, 918, 752, 1690, 20660, 589, 269, 11485, 2188, 2404, 609, 20560, 538, 1453, 543, 10708, 281, 589, 2013, 20820, 1353, 689, 16850, 9950, 335, 17952, 1299, 10263, 476, 1708, 271, 282, 13040, 6795, 277, 269, 8222, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 6614, 2041, 327, 269, 1708, 271, 269, 13040, 6795, 277, 563, 298, 9926, 7315, 13960, 7641, 267, 11809, 559, 2088, 9399, 267, 12379, 30987, 752, 13960, 30263, 267, 14642, 760, 13960, 918, 309, 267, 15718, 341, 1794, 12505, 14298, 267, 2398, 640, 14150, 17985, 269, 19043, 540, 608, 727, 15971, 585, 5868, 540, 20560, 538, 1453, 269, 9210, 850, 1186, 807, 1775, 1612, 758, 338, 714, 7356, 390, 373, 5500, 324, 521, 739, 15351, 807, 1315, 9210, 17952, 543, 3474, 2135, 903, 7356, 17148, 476, 1001, 280, 282, 1556, 263, 275, 2567, 4391, 280, 268, 9262, 563, 32292, 599, 3999, 641, 9567, 657, 8713, 269, 634, 9210, 850, 1186, 625, 281, 1530, 714, 999, 267, 5204, 526, 27689, 543, 5004, 269, 10228, 28790, 630, 20084, 2567, 2349, 611, 517, 6481, 14539, 282, 476, 1220, 276, 269, 3848, 476, 277, 267, 594, 10972, 24403, 9210, 850, 10364, 1530, 714, 999, 543, 5204, 526, 27689, 538, 5606, 3599, 269, 12232, 689, 281, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 9248, 21610, 289, 298, 18605, 271, 13045, 301, 15625, 22995, 267, 11875, 28086, 808, 295, 269, 21023, 832, 540, 20560, 538, 1453, 945, 723, 4810, 27095, 686, 548, 17465, 269, 715, 1621, 331, 808, 2405, 269, 476, 3192, 277, 282, 27768, 281, 9083, 280, 1700, 3451, 563, 293, 4157, 8500, 4821, 962, 267, 1530, 7288, 570, 267, 7937, 1206, 26854, 595, 267, 21007, 3120, 670, 267, 4498, 320, 631, 269, 19750, 4808, 585, 13500, 538, 519, 2359, 540, 27095, 686, 548, 17465, 269, 11020, 3763, 269, 476, 1960, 277, 282, 1240, 281, 5325, 280, 1700, 10019, 563, 300, 527, 23025, 654, 294, 269, 21073, 3134, 850, 10364, 639, 543, 8650, 16625, 17465, 538, 1453, 267, 10708, 267, 543, 1762, 4079, 281, 1696, 5735, 267, 6364, 267, 543, 2126, 269, 9210, 850, 1186, 807, 269, 476, 1960, 277, 282, 4391, 263, 11045, 331, 476, 272, 2567, 306, 10619, 1700, 306, 3199, 563, 2026, 724, 541, 10790, 267, 1234, 327, 2006, 21191, 267, 681, 18054, 16066, 267, 631, 636, 339, 1794, 715, 267, 1306, 724, 541, 10790, 267, 1744, 2378, 28999, 962, 267, 1696, 620, 269, 3465, 5524, 4806, 540, 1884, 773, 335, 850, 10364, 5061, 538, 7013, 9031, 281, 513, 24794, 8826, 20165, 1353, 538, 24596, 1416, 18013, 269, 674, 2752, 300, 3722, 8656, 476, 1001, 280, 282, 6858, 263, 277, 2567, 11820, 272, 268, 279, 269, 8222, 3820, 270, 1015, 269, 29204, 1839, 11721, 29108, 807, 269, 1001, 280, 269, 277, 269, 2537, 563, 290, 516, 22609, 4149, 528, 2692, 717, 267, 19839, 8291, 4211, 331, 2946, 618, 570, 267, 2405, 1177, 541, 661, 267, 4569, 24586, 674, 267, 21546, 19836, 267, 670, 659, 1335, 700, 267, 1696, 620, 269, 10495, 543, 2126, 540, 6689, 20560, 538, 27425, 269, 9210, 850, 1186, 807, 7046, 476, 1708, 271, 282, 276, 281, 5002, 268, 278, 269, 20396, 281, 476, 1015, 269, 1911, 273, 270, 788, 328, 275, 269, 11277, 10019, 454, 300, 342, 760, 641, 334, 661, 292, 267, 13019, 1002, 541, 590, 267, 27684, 623, 267, 2098, 29697, 667, 269, 28483, 543, 4791, 18572, 540, 17465, 538, 32509, 1453, 269, 7754, 3979, 6481, 4750, 269, 476, 1001, 277, 282, 2190, 281, 27123, 269, 8222, 281, 1015, 269, 14138, 6860, 9706, 600, 329, 269, 1001, 277, 269, 2190, 269, 27123, 269, 280, 2767, 276, 454, 310, 8932, 589, 267, 10609, 19981, 661, 267, 16679, 670, 267, 715, 553, 597, 589, 267, 19869, 31608, 6004, 269, 28582, 1537, 3270, 543, 21904, 693, 513, 2582, 11671, 31850, 5735, 4741, 538, 2372, 24297, 267, 9031, 281, 1323, 20894, 540, 476, 8182, 271, 27418, 269, 623, 297, 10064, 476, 1708, 271, 282, 1428, 263, 274, 2567, 1704, 268, 2641, 269, 4179, 2517, 324, 5570, 976, 269, 27495, 12975, 9706, 329, 985, 270, 14179, 1428, 270, 1170, 274, 270, 275, 563, 4692, 13960, 595, 267, 23160, 341, 580, 26856, 808, 267, 2549, 728, 25553, 267, 2098, 534, 1512, 700, 267, 2098, 532, 821, 674, 269, 634, 1981, 540, 20560, 538, 1453, 609, 524, 27112, 2068, 281, 513, 2551, 2861, 20165, 1353, 269, 3864, 4750, 540, 27096, 344, 476, 1708, 271, 267, 476, 2767, 281, 476, 10482, 280, 1700, 4817, 269, 8222, 281, 1015, 269, 9340, 272, 270, 2940, 269, 15221, 2568, 563, 15648, 630, 322, 264, 476, 1708, 272, 9031, 4750, 540, 25665, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 563, 303, 8140, 4750, 540, 25665, 267, 623, 752, 808, 4284, 2723, 267, 623, 297, 303, 568, 17676, 585, 1382, 543, 4081, 5301, 269, 898, 666, 581, 22434, 543, 6740, 267, 9102, 267, 11855, 543, 20926, 609, 2407, 4704, 540, 267, 543, 11760, 618, 547, 519, 623, 297, 303, 269, 0, 2710, 3556, 10904, 5957, 3109, 888, 14367, 3339, 2914, 792, 22101, 1442, 568, 3109, 855, 814, 25243, 10398, 532, 543, 513, 25243, 3673, 807, 630, 338, 1662, 1040, 12769, 31531, 267, 513, 29039, 31273, 513, 25243, 7542, 571, 2723, 334, 799, 568, 513, 1309, 701, 12816, 936, 519, 17525, 267, 13615, 693, 519, 8405, 538, 513, 6367, 676, 7522, 17446, 540, 12308, 538, 519, 4395, 267, 1510, 1022, 2048, 339, 3234, 685, 610, 10398, 532, 593, 621, 563, 3963, 798, 3556, 10904, 5957, 1114, 4778, 888, 763, 3556, 10904, 5957, 2699, 1317, 789, 616, 2808, 519, 14191, 9666, 619, 547, 519, 28831, 543, 4061, 1058, 581, 4712, 547, 8774, 741, 1973, 585, 519, 5939, 543, 2441, 269, 2560, 5682, 281, 634, 9949, 2681, 585, 22514, 906, 8204, 4126, 540, 2441, 779, 24446, 269, 9791, 281, 13507, 540, 519, 7910, 6307, 269, 15394, 12816, 593, 6307, 779, 3171, 770, 1554, 563, 31549, 972, 2479, 1044, 513, 3109, 29039, 538, 519, 7826, 5783, 888, 17442, 675, 534, 681, 1872, 3711, 11445, 630, 20809, 476, 1321, 267, 476, 4489, 273, 1107, 5412, 476, 279, 267, 476, 1960, 278, 264, 729, 519, 1101, 2413, 5065, 3979, 9315, 1400, 540, 519, 7826, 5783, 269, 1261, 6039, 607, 5246, 29989, 540, 11023, 1965, 6428, 320, 600, 689, 476, 3422, 279, 547, 476, 1960, 273, 267, 543, 729, 11506, 547, 519, 29039, 622, 538, 476, 3422, 271, 563, 3963, 798, 4936, 7826, 20577, 5957, 3109, 888, 1103, 7507, 267, 4936, 268, 1679, 7826, 23464, 616, 15868, 547, 5957, 3109, 267, 15454, 267, 543, 4544, 804, 518, 673, 695, 16630, 267, 1247, 538, 1034, 2477, 789, 616, 15868, 547, 5957, 1152, 3109, 267, 3833, 2693, 1317, 540, 1279, 29280, 2688, 543, 547, 10646, 873, 689, 1875, 4211, 987, 4301, 23464, 269, 901, 10039, 547, 519, 5824, 23464, 1152, 563, 1432, 4778, 2099, 519, 7826, 5783, 888, 299, 527, 17790, 2051, 2293, 538, 4936, 30871, 454, 268, 6519, 610, 4154, 585, 8285, 543, 14914, 630, 1492, 4332, 543, 24446, 1916, 268, 31947, 1282, 13491, 543, 30766, 855, 11909, 593, 519, 476, 274, 6113, 10732, 540, 13491, 543, 593, 5487, 564, 732, 10732, 267, 799, 568, 1318, 1354, 26054, 10732, 630, 604, 594, 3314, 7157, 1040, 6693, 268, 4414, 593, 519, 905, 6814, 540, 12004, 344, 3464, 630, 984, 16227, 267, 2699, 815, 1973, 1916, 1432, 2681, 798, 20577, 5957, 593, 14914, 888, 5475, 14914, 568, 936, 267, 20577, 2253, 9849, 3039, 22514, 906, 269, 5682, 4564, 519, 4126, 540, 2441, 779, 24446, 543, 18163, 1272, 269, 31035, 689, 519, 6654, 630, 325, 820, 6371, 585, 707, 1920, 779, 14914, 30504, 1070, 713, 1713, 27280, 666, 3262, 2027, 9702, 22619, 902, 538, 811, 2081, 982, 835, 563, 1432, 568, 519, 3017, 1063, 606, 2895, 29989, 543, 513, 29039, 888, 25205, 1400, 281, 2561, 31212, 676, 519, 28831, 267, 476, 9965, 3556, 10904, 5001, 267, 1519, 476, 1724, 538, 519, 772, 2529, 1421, 1118, 909, 519, 5441, 540, 9315, 10904, 269, 1306, 513, 1560, 267, 621, 1443, 2478, 519, 28831, 543, 267, 593, 1010, 2669, 267, 1528, 338, 513, 1007, 28831, 269, 5246, 29989, 281, 1323, 2895, 29989, 568, 513, 24649, 540, 513, 1292, 610, 23195, 1019, 665, 3150, 267, 849, 1572, 606, 2895, 10972, 665, 3150, 563, 8005, 729, 519, 1101, 3109, 28831, 540, 519, 7826, 5783, 888, 303, 2100, 8841, 594, 454, 19064, 2100, 12142, 8841, 594, 2008, 21270, 1941, 1475, 15900, 476, 273, 526, 11416, 5084, 4000, 1160, 4621, 592, 732, 2008, 8005, 729, 519, 1101, 3109, 1977, 23920, 888, 20606, 639, 24729, 2023, 630, 19688, 476, 272, 267, 476, 6977, 275, 1107, 5147, 476, 280, 267, 476, 6245, 278, 1070, 19071, 1242, 27596, 24729, 2023, 267, 729, 519, 1101, 4936, 7826, 17308, 538, 519, 2136, 2276, 15597, 1634, 547, 581, 3109, 950, 646, 729, 3921, 7134, 538, 476, 6642, 277, 563, 347, 309, 10273, 762, 31217, 24729, 2023, 2008, 347, 309, 10273, 730, 538, 1475, 290, 987, 4301, 5783, 2008, 24078, 972, 2479, 513, 3109, 28831, 888, 5591, 267, 621, 729, 1454, 811, 3309, 982, 596, 1522, 1589, 2223, 16026, 1767, 269, 5047, 267, 5198, 607, 649, 1589, 540, 621, 2221, 1705, 711, 723, 3833, 519, 1482, 2495, 1394, 1287, 269, 968, 2691, 596, 2161, 685, 18872, 28831, 16224, 596, 723, 547, 1589, 4936, 7276, 267, 711, 3979, 12677, 2223, 607, 13852, 527, 1729, 2322, 621, 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 ]
[ 1377, 540, 2866, 543, 1995, 786, 723, 606, 1764, 593, 707, 14057, 267, 607, 786, 519, 9872, 4433, 264, 799, 596, 960, 585, 269, 8549, 7936, 2564, 3915, 619, 543, 13798, 619, 4043, 547, 581, 519, 5207, 1274, 2996, 269, 8409, 945, 4196, 30229, 7740, 543, 13500, 685, 13646, 4043, 547, 1118, 519, 2547, 2179, 540, 2724, 563, 4407, 596, 666, 581, 513, 2489, 2564, 3915, 518, 610, 13798, 518, 267, 596, 666, 849, 3442, 547, 723, 513, 29286, 538, 1931, 547, 1118, 811, 2724, 267, 1454, 607, 513, 10629, 1522, 3442, 547, 798, 269, 1403, 585, 1383, 596, 3442, 547, 20647, 538, 513, 4101, 2361, 899, 5778, 17595, 17226, 267, 596, 949, 581, 2111, 547, 7118, 811, 2724, 982, 513, 20902, 13798, 518, 610, 3915, 518, 269, 1411, 666, 960, 538, 606, 5604, 610, 596, 666, 960, 689, 1753, 269, 4518, 693, 1753, 2564, 3915, 619, 543, 13798, 619, 666, 1118, 9170, 689, 1269, 1015, 269, 876, 547, 1269, 1839, 269, 876, 606, 5662, 563, 21357, 536, 3739, 543, 8193, 3292, 616, 2139, 693, 12621, 267, 4123, 3506, 267, 543, 2228, 9945, 269, 1411, 3580, 1616, 547, 1118, 2386, 782, 519, 3292, 596, 616, 6236, 616, 26886, 269, 6787, 596, 3442, 547, 7390, 2564, 536, 3739, 543, 8193, 5049, 538, 1268, 610, 2228, 568, 7357, 513, 2339, 540, 1018, 1568, 1655, 585, 707, 8430, 543, 1018, 2186, 540, 2883, 2200, 616, 2139, 547, 596, 269, 1403, 596, 1810, 1406, 723, 513, 2603, 540, 942, 610, 2724, 267, 2228, 2866, 949, 581, 1655, 269, 19227, 596, 1522, 4324, 689, 519, 3606, 3946, 6823, 1995, 543, 3068, 547, 3068, 5872, 799, 596, 1205, 689, 513, 4928, 1604, 563, 2662, 7241, 1826, 540, 1153, 596, 3442, 547, 7390, 267, 596, 1058, 1413, 585, 513, 1982, 799, 6227, 3388, 596, 991, 547, 917, 827, 2564, 536, 3739, 610, 8193, 269, 6481, 8193, 1153, 1058, 4001, 596, 827, 2564, 16166, 267, 14169, 543, 17550, 267, 543, 875, 547, 14377, 602, 1344, 883, 1697, 2564, 9479, 269, 6481, 536, 3739, 3292, 1058, 1331, 3102, 1344, 593, 2564, 6142, 267, 2229, 3782, 3292, 267, 1072, 6142, 3409, 3029, 267, 2564, 12319, 267, 543, 1239, 7127, 563, 288, 2603, 540, 3506, 2709, 22631, 4721, 607, 851, 540, 741, 6437, 267, 799, 666, 581, 513, 1390, 1259, 547, 1205, 707, 3952, 6632, 543, 1205, 930, 3946, 6823, 1995, 269, 1323, 22631, 1222, 949, 581, 2111, 547, 7914, 1376, 707, 4876, 267, 1932, 282, 513, 2603, 540, 2053, 596, 666, 3274, 5912, 689, 2028, 547, 2407, 6066, 9441, 1310, 707, 2866, 568, 2347, 269, 4634, 952, 713, 3884, 1406, 2009, 267, 519, 2816, 1995, 786, 1413, 1390, 593, 707, 16056, 267, 543, 949, 948, 596, 538, 707, 2816, 3406, 1310, 707, 2069, 568, 2347, 269, 1323, 22631, 1222, 949, 849, 22937, 596, 519, 6015, 596, 991, 547, 8011, 950, 596, 4283, 519, 13781, 585, 1483, 563, 21357, 536, 3739, 543, 8193, 616, 1079, 7123, 22825, 799, 616, 543, 786, 2141, 581, 2556, 269, 3807, 607, 13500, 786, 2141, 723, 2550, 17596, 3782, 267, 3782, 7426, 786, 2141, 991, 547, 581, 2111, 547, 5968, 543, 1205, 6976, 269, 4595, 3782, 7426, 1810, 1406, 723, 519, 942, 610, 519, 2200, 547, 798, 782, 713, 593, 741, 1378, 267, 789, 786, 2141, 723, 547, 16926, 9952, 2564, 3915, 619, 543, 13798, 619, 945, 666, 1118, 741, 2729, 4443, 269, 5741, 687, 676, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 264, 1533, 602, 519, 7694, 540, 2564, 3915, 619, 543, 13798, 619, 543, 2404, 22825, 568, 4397, 547, 2333, 676, 476, 736, 260, 676, 476, 1001, 279, 269, 1215, 1082, 824, 22825, 798, 596, 917, 540, 799, 616, 2810, 538, 3747, 891, 2395, 888, 7628, 519, 21748, 621, 814, 1831, 9875, 982, 2479, 547, 1205, 513, 22510, 2816, 269, 6481, 536, 3739, 543, 8193, 6009, 2709, 596, 6617, 543, 8112, 282, 519, 960, 693, 1753, 4316, 799, 536, 3739, 543, 8193, 2488, 568, 1390, 585, 1004, 945, 3180, 824, 851, 942, 6009, 267, 1616, 547, 3251, 693, 1753, 609, 741, 3214, 267, 610, 1175, 1616, 547, 2972, 513, 960, 693, 1753, 6197, 563, 6701, 596, 3168, 585, 2298, 8808, 3506, 538, 8419, 286, 6333, 2405, 27700, 4659, 269, 3776, 13464, 538, 2107, 1633, 334, 267, 8419, 267, 3091, 3292, 602, 666, 948, 596, 5721, 547, 581, 513, 2564, 13930, 267, 2564, 536, 3739, 543, 8193, 11285, 267, 610, 1353, 4052, 8808, 538, 513, 11215, 3872, 1604, 563, 268, 6481, 645, 3739, 543, 32017, 910, 24547, 5448, 454, 4263, 962, 2316, 19396, 4659, 267, 649, 616, 707, 581, 13154, 1765, 1962, 697, 2287, 707, 2104, 19773, 543, 8654, 707, 2619, 547, 513, 14785, 4876, 269, 1306, 513, 962, 2316, 2875, 267, 596, 3580, 2972, 2947, 5383, 912, 272, 269, 12752, 21524, 601, 539, 2866, 538, 570, 10232, 543, 14502, 267, 23675, 267, 6355, 267, 6481, 267, 26943, 2435, 8551, 610, 22518, 10456, 563, 273, 269, 24665, 730, 3292, 596, 666, 2347, 538, 607, 1906, 607, 476, 280, 3275, 563, 274, 269, 2037, 1120, 1242, 267, 2875, 19721, 12200, 945, 1683, 10531, 6044, 563, 275, 269, 11038, 22707, 6351, 585, 1346, 945, 20618, 563, 276, 269, 19396, 7896, 6351, 998, 707, 19396, 7896, 28154, 563, 268, 6481, 645, 3739, 1299, 32017, 910, 24547, 5448, 454, 10702, 707, 2069, 693, 681, 11047, 1380, 523, 5441, 269, 16521, 689, 5722, 3506, 540, 1353, 1519, 3292, 538, 1870, 267, 8808, 267, 2029, 267, 543, 811, 269, 1411, 1223, 7118, 707, 20277, 779, 4110, 538, 607, 2370, 607, 476, 1240, 3275, 543, 948, 4434, 707, 4876, 998, 938, 24665, 520, 3633, 1982, 563, 268, 6481, 645, 3739, 543, 32017, 25890, 454, 268, 2657, 6176, 5004, 25328, 781, 454, 268, 6481, 15928, 645, 3739, 543, 8433, 10029, 454, 4263, 772, 292, 296, 5441, 267, 649, 1616, 596, 547, 8011, 269, 1284, 2461, 899, 513, 1920, 543, 649, 1616, 596, 547, 581, 513, 851, 540, 621, 269, 3245, 519, 4090, 596, 4283, 23600, 1041, 267, 547, 22692, 543, 3564, 267, 649, 616, 1318, 972, 609, 596, 563, 268, 6481, 645, 3739, 1299, 15928, 32017, 630, 279, 5336, 517, 628, 24547, 5448, 5358, 994, 4263, 1977, 4659, 267, 649, 3494, 596, 666, 1831, 8726, 596, 1616, 547, 581, 267, 543, 649, 2461, 4712, 547, 948, 596, 1205, 972, 269, 1284, 11348, 6000, 593, 2324, 2182, 547, 5838, 2298, 267, 5499, 2069, 547, 938, 1053, 602, 3947, 873, 519, 1983, 547, 2253, 610, 3986, 741, 11678, 269, 1284, 2119, 547, 948, 938, 1053, 2743, 741, 3853, 540, 4657, 610, 7393, 741, 11678, 267, 543, 849, 948, 17053, 12820, 540, 938, 20021, 538, 5870, 519, 13781, 2115, 540, 519, 476, 2641, 560, 2540, 1247, 8362, 10283, 538, 519, 2950, 649, 7500, 1369, 563, 268, 6481, 32017, 543, 645, 3739, 454, 13563, 19396, 5441, 630, 3722, 290, 264, 3091, 3946, 6823, 2866, 602, 786, 5965, 1053, 585, 11678, 538, 519, 3782, 2872, 693, 1614, 3786, 4926, 538, 11968, 13353, 267, 14411, 267, 543, 21060, 6019, 267, 4993, 269, 589, 6717, 781, 3292, 9192, 4928, 15872, 543, 3946, 6823, 2866, 547, 5965, 1053, 585, 513, 24547, 5448, 610, 21133, 540, 27706, 3163, 4110, 563, 268, 6481, 645, 3739, 543, 32017, 454, 7476, 3946, 6823, 2866, 609, 15588, 1467, 5441, 269, 1284, 2709, 26885, 543, 4110, 3292, 538, 519, 2127, 540, 1072, 1416, 267, 1870, 267, 8808, 267, 7803, 5126, 267, 1612, 531, 20235, 267, 543, 2780, 3354, 269, 1284, 1174, 602, 2221, 781, 2875, 568, 11112, 609, 1082, 9021, 267, 865, 649, 2709, 1554, 267, 10543, 267, 543, 2228, 5049, 267, 4758, 596, 3681, 547, 3514, 1153, 883, 707, 8430, 563, 268, 24547, 5448, 910, 6481, 15928, 645, 3739, 1299, 32017, 454, 5978, 4876, 25700, 3292, 543, 8465, 1362, 16131, 1118, 590, 21750, 513, 1390, 3903, 585, 11112, 2324, 4079, 269, 9540, 5049, 2327, 10531, 3007, 585, 1142, 2875, 267, 543, 596, 786, 2744, 4876, 1983, 538, 606, 3872, 1604, 602, 1138, 12885, 519, 9036, 267, 865, 596, 666, 2253, 1210, 707, 2069, 5612, 593, 519, 2816, 563, 268, 24547, 5448, 538, 18329, 6481, 645, 3739, 543, 32017, 28154, 454, 26596, 808, 10394, 23936, 9503, 5441, 568, 606, 26886, 4357, 21738, 2852, 8149, 547, 519, 3318, 1967, 540, 922, 1053, 543, 20021, 563, 293, 15903, 538, 476, 3192, 278, 267, 590, 297, 31357, 814, 3786, 4926, 4092, 2429, 4993, 2987, 6984, 606, 6732, 6498, 543, 3091, 513, 3099, 540, 18965, 25890, 543, 21133, 540, 3163, 4110, 3292, 538, 519, 1870, 267, 2564, 543, 2930, 4610, 563, 268, 23422, 910, 6481, 8433, 454, 268, 25890, 910, 6481, 8433, 0, 1607, 834, 28350, 13541, 257, 9183, 568, 4742, 1447, 2484, 1922, 564, 3481, 607, 2487, 8441, 538, 7293, 1072, 5464, 1949, 723, 3366, 547, 513, 3099, 540, 2081, 547, 2697, 3441, 547, 513, 7293, 1062, 563, 3086, 267, 538, 519, 4750, 540, 11930, 8212, 267, 3173, 693, 14151, 3557, 2160, 723, 2813, 513, 1570, 602, 949, 581, 2111, 547, 711, 1152, 2631, 3441, 538, 7293, 2326, 267, 971, 607, 25305, 538, 513, 6775, 3146, 514, 1721, 1027, 12432, 267, 855, 547, 1256, 12115, 621, 269, 634, 2832, 540, 3384, 834, 2246, 26127, 13261, 3889, 257, 568, 547, 17932, 519, 2702, 540, 6211, 1949, 971, 607, 5642, 547, 2631, 519, 4527, 540, 3441, 267, 26699, 922, 11144, 267, 543, 16956, 4733, 3294, 563, 763, 3209, 14628, 1570, 2919, 676, 8361, 590, 617, 8457, 543, 9164, 3096, 834, 27729, 2173, 25514, 257, 22169, 609, 606, 11251, 6775, 19945, 6776, 3060, 602, 3252, 607, 1312, 519, 3441, 7020, 9300, 543, 8143, 17003, 6765, 1062, 547, 3132, 513, 3210, 602, 13147, 923, 519, 4359, 10444, 543, 7067, 7592, 3254, 538, 6211, 1949, 269, 1323, 18342, 8955, 18993, 1080, 1769, 998, 519, 6775, 19945, 6776, 1062, 547, 12725, 3002, 519, 1570, 267, 18398, 519, 27162, 515, 940, 543, 7067, 6127, 563, 763, 1570, 1062, 568, 5827, 540, 2810, 519, 32297, 540, 513, 19494, 676, 476, 1556, 2053, 269, 2991, 27162, 515, 940, 519, 19494, 267, 519, 11523, 666, 581, 6806, 1210, 519, 3337, 2173, 25514, 1198, 547, 9156, 606, 13778, 476, 9834, 2600, 540, 519, 1843, 781, 3312, 4222, 269, 769, 1249, 267, 1310, 519, 11523, 568, 6806, 267, 519, 1007, 1570, 568, 5176, 2947, 2053, 607, 9157, 607, 519, 3312, 19494, 267, 1256, 1498, 621, 814, 1044, 2269, 1441, 2250, 922, 3312, 5821, 8833, 1448, 676, 513, 3815, 540, 2185, 269, 634, 1570, 543, 7067, 1184, 666, 581, 4294, 1247, 519, 2497, 568, 538, 5106, 267, 799, 814, 711, 1044, 2009, 609, 4540, 7067, 2553, 563, 763, 2376, 267, 834, 8505, 26127, 10049, 609, 2552, 9776, 29110, 326, 515, 940, 543, 23046, 257, 676, 7812, 25661, 807, 267, 962, 597, 784, 6931, 267, 543, 8361, 19664, 334, 590, 617, 8457, 5526, 538, 519, 4750, 540, 11930, 8212, 269, 6423, 281, 5291, 2517, 15062, 18502, 760, 3820, 270, 15062, 10768, 777, 807, 340, 23218, 10482, 270, 328, 280, 9706, 6021, 274, 24423, 4882, 272, 454, 22711, 1235, 949, 7662, 513, 1863, 7300, 540, 713, 2376, 676, 32296, 4757, 11333, 2593, 454, 27237, 292, 281, 1323, 3239, 568, 2139, 585, 20859, 269, 7490, 3346, 18078, 17106, 11333, 3820, 454, 290, 4338, 3582, 281, 26365, 3239, 540, 513, 4496, 1449, 19494, 18460, 519, 8666, 268, 31516, 8022, 1505, 269, 5723, 27345, 808, 5495, 11748, 299, 5508, 6673, 12195, 296, 3633, 11682, 22076, 12903, 454, 297, 1783, 24198, 645, 31651, 1923, 1715, 1873, 1047, 3163, 5240, 454, 20458, 9979, 949, 2491, 875, 4881, 1216, 20077, 9370, 262, 2627, 2934, 454, 6349, 269, 1321, 269, 1001, 277, 1923, 24282, 3557, 454, 1432, 798, 28923, 267, 5616, 543, 19236, 1949, 723, 538, 1455, 888, 6349, 269, 1321, 269, 1001, 277, 1923, 2160, 540, 17842, 454, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11655, 723, 1032, 2740, 585, 513, 6198, 667, 2317, 1893, 6037, 1807, 563, 4407, 930, 2228, 2645, 3409, 547, 2709, 8144, 2533, 267, 621, 779, 1898, 547, 1935, 873, 609, 13657, 267, 607, 891, 16627, 1522, 711, 581, 4977, 610, 21705, 547, 519, 2707, 1570, 563, 763, 6946, 16082, 540, 4654, 538, 968, 291, 2317, 892, 2154, 513, 4514, 1620, 543, 2686, 2796, 547, 581, 8308, 12261, 269, 898, 779, 1732, 547, 7048, 593, 1134, 26455, 2959, 267, 971, 607, 7671, 29464, 2835, 2933, 563, 2252, 596, 2461, 513, 2462, 10178, 540, 667, 2317, 630, 528, 1175, 2968, 267, 7064, 547, 938, 2376, 264, 543, 1616, 547, 1865, 713, 14952, 748, 960, 540, 1148, 609, 824, 1004, 267, 1810, 1406, 3970, 3054, 1152, 547, 707, 1893, 563, 6944, 9009, 547, 667, 2317, 10209, 1132, 267, 24758, 1483, 8996, 4654, 4991, 1259, 4443, 950, 596, 946, 513, 5639, 6037, 1807, 689, 23849, 1723, 269, 1411, 666, 10004, 538, 1114, 4654, 267, 14377, 2592, 547, 1174, 4914, 9904, 267, 946, 1257, 547, 4633, 8144, 267, 543, 811, 563, 1103, 713, 2376, 267, 649, 12943, 519, 1739, 2243, 281, 968, 1432, 1893, 798, 789, 3717, 538, 667, 2317, 9495, 563, 2171, 849, 4121, 811, 827, 891, 2152, 281, 968, 6343, 1893, 798, 519, 674, 1069, 523, 3717, 5608, 968, 1432, 1893, 798, 519, 2311, 516, 1938, 3717, 9495, 543, 968, 3674, 519, 1893, 538, 667, 2317, 12428, 18313, 763, 16844, 540, 667, 2317, 19932, 454, 15463, 6975, 779, 21184, 6013, 538, 1010, 2702, 547, 4739, 513, 7122, 1141, 4529, 267, 4654, 267, 543, 9163, 616, 3309, 543, 15491, 563, 763, 3197, 538, 968, 291, 2317, 892, 2097, 689, 1114, 10080, 543, 10785, 267, 1142, 6340, 741, 1378, 4654, 267, 2417, 10771, 519, 5318, 1145, 543, 6988, 540, 519, 968, 291, 2317, 892, 7122, 563, 4407, 8895, 778, 5713, 607, 519, 1455, 11469, 585, 26300, 15362, 2792, 267, 1142, 4541, 543, 1249, 542, 6770, 922, 1378, 1893, 267, 4946, 3178, 543, 17381, 547, 519, 2239, 563, 2026, 968, 291, 2317, 476, 273, 892, 21040, 519, 7122, 1256, 2417, 267, 11655, 666, 18783, 513, 811, 6946, 13795, 540, 4654, 543, 4529, 267, 22805, 1927, 513, 4487, 995, 543, 15138, 1995, 563, 15371, 621, 779, 519, 28430, 6154, 5443, 1893, 267, 519, 5728, 633, 11469, 540, 519, 590, 731, 879, 22894, 267, 610, 519, 15626, 2311, 516, 1938, 685, 6561, 267, 968, 291, 2317, 892, 19595, 721, 540, 519, 1379, 543, 5898, 540, 1893, 538, 5935, 10600, 543, 10213, 9159, 2984, 563, 2026, 649, 24098, 811, 14624, 543, 2263, 519, 2479, 7721, 335, 21505, 7122, 540, 968, 291, 2317, 2223, 1577, 721, 10027, 880, 519, 10409, 11958, 4800, 602, 8591, 1776, 4494, 540, 11958, 4800, 547, 713, 11599, 1414, 30235, 20100, 563, 1103, 519, 2428, 9917, 961, 912, 2108, 291, 2317, 2223, 519, 12473, 2257, 5708, 3209, 676, 7671, 29464, 267, 2934, 513, 3309, 5044, 540, 4654, 602, 10802, 922, 5704, 2299, 16545, 7122, 269, 634, 1034, 4922, 9275, 1893, 568, 8895, 778, 267, 513, 8471, 11469, 6508, 689, 2296, 543, 23577, 545, 4654, 267, 7674, 607, 519, 1455, 1893, 585, 26300, 15362, 2792, 269, 634, 6154, 5443, 267, 5065, 547, 519, 9390, 4541, 1488, 21531, 529, 267, 723, 741, 1378, 1893, 609, 5072, 538, 12428, 267, 10452, 741, 2528, 543, 9620, 269, 2755, 12428, 7506, 616, 1459, 267, 968, 291, 2317, 892, 568, 711, 1759, 593, 5771, 267, 607, 519, 2278, 16668, 6667, 689, 1585, 1483, 8996, 4529, 543, 10764, 269, 3958, 267, 519, 5728, 633, 590, 731, 879, 22894, 7980, 723, 741, 1378, 12357, 1893, 267, 543, 972, 616, 8100, 547, 3504, 4654, 899, 968, 24874, 3047, 1848, 634, 6988, 540, 4654, 538, 968, 291, 2317, 892, 8309, 547, 922, 15138, 9423, 267, 1818, 621, 513, 11537, 5929, 585, 3988, 543, 13588, 7567, 563, 1432, 568, 519, 1034, 4922, 9275, 1893, 538, 968, 291, 2317, 2223, 543, 1018, 568, 922, 5169, 888, 763, 1034, 4922, 9275, 1893, 538, 968, 291, 2317, 892, 568, 8895, 778, 267, 1419, 5219, 547, 607, 519, 968, 21720, 11469, 892, 610, 968, 339, 8565, 1893, 1848, 898, 5713, 607, 513, 8059, 320, 21473, 8619, 585, 26300, 15362, 2792, 543, 2636, 2043, 689, 3309, 10785, 543, 4529, 547, 2170, 543, 4123, 269, 8895, 778, 12090, 689, 513, 3575, 540, 2296, 543, 1585, 23577, 545, 10209, 1132, 543, 814, 7960, 936, 519, 27453, 563, 1432, 1893, 798, 519, 6154, 5443, 1004, 3717, 267, 543, 875, 1281, 621, 2992, 741, 2528, 888, 763, 6154, 5443, 1004, 267, 5065, 547, 519, 9390, 4541, 1488, 21531, 529, 630, 291, 2317, 1070, 723, 741, 1378, 1893, 602, 6585, 1713, 2956, 538, 519, 1650, 1467, 269, 2755, 8895, 778, 568, 519, 1455, 1893, 267, 519, 6154, 5443, 1893, 568, 849, 7986, 267, 10452, 741, 9620, 267, 4978, 267, 543, 9390, 1259, 540, 1272, 269, 898, 1784, 1742, 689, 12428, 855, 814, 16866, 936, 519, 1296, 269, 634, 6154, 5443, 849, 946, 513, 14980, 1875, 8686, 5914, 1062, 540, 1688, 6786, 543, 17267, 1572, 519, 968, 327, 2863, 532, 1893, 892, 585, 15739, 564, 2792, 1282, 6968, 338, 543, 12959, 563, 3674, 972, 1022, 2963, 547, 1489, 519, 3409, 602, 3220, 269, 962, 826, 327, 538, 968, 291, 2317, 892, 14753, 13495, 18288, 888, 2467, 568, 513, 2442, 7242, 1851, 968, 291, 2317, 892, 12439, 602, 3220, 269, 654, 2454, 2023, 962, 826, 327, 267, 513, 7986, 1915, 538, 519, 3126, 267, 14753, 13495, 18288, 269, 1717, 267, 28138, 2959, 798, 711, 1489, 713, 3409, 267, 543, 972, 568, 1100, 2446, 540, 513, 1808, 667, 2317, 1893, 11603, 585, 3220, 269, 962, 826, 327, 269, 634, 1893, 9275, 676, 519, 1915, 3788, 1930, 547, 7664, 543, 25127, 1851, 11655, 269, 0, 8139, 11282, 2359, 538, 519, 2520, 617, 520, 15390, 1965, 686, 2930, 1957, 269, 4595, 519, 2520, 641, 549, 22422, 1907, 1568, 593, 1250, 2199, 2780, 267, 1775, 1131, 1589, 602, 519, 20327, 616, 21453, 269, 4239, 476, 5400, 267, 476, 736, 1620, 11282, 1949, 543, 20327, 585, 9095, 326, 529, 476, 272, 269, 8281, 519, 1592, 540, 6462, 13664, 543, 7299, 11282, 1949, 269, 4197, 4786, 20327, 568, 606, 1271, 2679, 3625, 950, 2324, 609, 543, 4259, 909, 1022, 13664, 1344, 1062, 575, 529, 269, 8382, 1883, 585, 3184, 2055, 538, 3478, 547, 917, 9095, 326, 529, 267, 476, 275, 628, 7160, 269, 6423, 811, 2093, 827, 7047, 2762, 267, 4786, 543, 2804, 4786, 269, 9257, 602, 3812, 519, 4786, 2601, 610, 1966, 585, 519, 4786, 6106, 3769, 538, 519, 4786, 4267, 786, 4268, 269, 20211, 16769, 267, 818, 764, 7614, 690, 267, 9095, 14090, 267, 818, 551, 944, 7901, 267, 9095, 7120, 267, 543, 818, 1027, 527, 616, 30931, 540, 2825, 269, 1403, 596, 616, 711, 2907, 29429, 538, 267, 596, 786, 581, 19430, 547, 21189, 1310, 596, 2824, 513, 3758, 547, 4647, 269, 5903, 540, 6462, 4786, 20327, 15276, 9095, 326, 529, 585, 18376, 563, 15430, 5034, 676, 14646, 11634, 2801, 742, 518, 15118, 23803, 575, 529, 2533, 267, 1651, 269, 1488, 9492, 777, 4786, 4786, 20327, 16467, 518, 927, 680, 626, 540, 9095, 326, 529, 3284, 529, 16298, 909, 1239, 538, 9095, 326, 529, 267, 5768, 15756, 12103, 615, 1965, 686, 2930, 1957, 269, 2060, 513, 15400, 6612, 585, 2870, 1620, 267, 530, 584, 2006, 814, 606, 3573, 1719, 538, 7851, 267, 7047, 2762, 267, 543, 1374, 267, 28285, 538, 1010, 5698, 609, 1965, 686, 547, 1711, 519, 4683, 2616, 2218, 267, 799, 3217, 5413, 540, 575, 529, 607, 606, 32687, 3760, 269, 4014, 519, 3618, 568, 1655, 6719, 676, 513, 838, 515, 5514, 267, 519, 3618, 568, 3006, 5701, 607, 513, 12106, 547, 1118, 6310, 9273, 4443, 563, 6701, 596, 1065, 549, 915, 532, 1239, 952, 865, 786, 596, 25117, 713, 610, 798, 621, 1169, 5503, 596, 15476, 1239, 269, 3143, 4786, 16879, 666, 8190, 5546, 540, 3677, 4525, 269, 589, 15810, 11282, 1062, 1759, 593, 513, 4786, 16879, 971, 607, 29529, 24271, 1807, 267, 620, 1499, 3160, 1858, 267, 610, 3775, 8657, 267, 782, 540, 799, 2059, 609, 3875, 824, 4786, 16879, 3631, 1683, 1585, 6127, 547, 1788, 7851, 540, 519, 1274, 2195, 20085, 2627, 5196, 513, 1000, 617, 7645, 7047, 14198, 11282, 7077, 269, 4924, 476, 2641, 267, 476, 1001, 272, 6697, 610, 3160, 1858, 20327, 513, 4786, 1858, 1993, 513, 2016, 2450, 267, 513, 5858, 1614, 6279, 538, 8006, 585, 3236, 267, 4564, 1482, 2179, 540, 3618, 2230, 1100, 2339, 1141, 593, 519, 8608, 519, 4786, 1858, 568, 4092, 269, 901, 4114, 23660, 519, 2070, 540, 519, 3618, 689, 519, 3141, 593, 519, 5162, 1151, 560, 823, 693, 29869, 538, 4342, 8822, 267, 12103, 269, 5741, 542, 9238, 585, 575, 529, 4648, 15276, 9095, 326, 529, 269, 634, 1353, 540, 4786, 20327, 568, 519, 18572, 540, 891, 1253, 25344, 269, 1548, 11282, 1062, 543, 16879, 568, 519, 4786, 538, 269, 4855, 28085, 585, 15649, 267, 3028, 24502, 267, 3009, 5439, 543, 811, 585, 513, 1808, 1587, 269, 13096, 636, 14759, 2520, 517, 564, 267, 519, 1965, 686, 2146, 575, 529, 269, 1452, 2835, 616, 5497, 547, 4217, 596, 609, 1620, 875, 547, 4383, 1239, 609, 9095, 326, 529, 476, 279, 563, 8139, 11282, 1949, 543, 20327, 585, 9095, 326, 529, 269, 10934, 20327, 23486, 8747, 540, 3875, 20327, 269, 1215, 547, 13143, 707, 4786, 547, 7824, 543, 795, 17989, 4647, 519, 1239, 269, 4804, 811, 827, 4786, 16879, 543, 11282, 1062, 2035, 269, 1403, 596, 723, 2417, 2055, 827, 4647, 543, 10380, 267, 1294, 519, 3655, 336, 269, 1703, 568, 1100, 3970, 547, 519, 1297, 540, 2009, 4786, 20327, 476, 272, 20327, 616, 513, 1641, 540, 1896, 6986, 6310, 4610, 267, 1519, 11186, 9511, 267, 1788, 633, 9511, 267, 543, 7030, 9529, 269, 4197, 4786, 20327, 13941, 2985, 585, 737, 691, 578, 20623, 269, 8437, 4647, 610, 1224, 2228, 7735, 547, 1205, 1210, 9095, 326, 529, 8901, 25566, 1433, 1631, 563, 24961, 20327, 2527, 11637, 20576, 540, 2029, 269, 589, 575, 529, 10923, 1344, 1062, 568, 513, 1187, 543, 6198, 4062, 540, 3937, 602, 3091, 7851, 267, 543, 865, 1454, 811, 269, 634, 9095, 326, 529, 11052, 1433, 4647, 19545, 7824, 267, 3134, 889, 267, 512, 29301, 267, 4254, 328, 269, 5741, 542, 9238, 585, 575, 529, 4648, 15276, 9095, 326, 529, 585, 269, 634, 6708, 267, 4087, 267, 543, 3959, 596, 1616, 547, 8190, 1590, 1217, 707, 3903, 540, 4786, 16879, 269, 17859, 540, 519, 4786, 16879, 6074, 267, 930, 1253, 25344, 547, 891, 4162, 786, 2049, 32650, 15326, 476, 1960, 275, 269, 589, 16879, 568, 519, 1797, 676, 799, 596, 4159, 519, 11282, 1062, 543, 707, 1239, 593, 513, 6366, 2627, 267, 971, 607, 513, 4062, 540, 1957, 610, 513, 3059, 5496, 269, 4635, 9095, 326, 529, 8901, 25566, 4647, 19545, 7824, 267, 3134, 889, 563, 19324, 686, 2046, 32245, 2835, 543, 18862, 593, 575, 529, 267, 7047, 2762, 267, 543, 519, 3498, 540, 8901, 2079, 269, 21213, 22097, 525, 686, 22097, 12319, 269, 12474, 5532, 689, 1934, 568, 711, 8242, 543, 568, 711, 4570, 585, 2487, 8747, 540, 9095, 326, 529, 269, 1452, 1614, 2835, 6338, 596, 547, 13664, 543, 15810, 11282, 1949, 543, 547, 2520, 617, 520, 15390, 2035, 543, 2982, 875, 547, 946, 519, 9095, 326, 529, 18376, 2472, 9095, 16769, 267, 818, 1027, 3218, 267, 543, 9095, 1613, 547, 2936, 13664, 6538, 6272, 269, 769, 7047, 2762, 267, 513, 4786, 16879, 568, 513, 1259, 547, 24609, 513, 5895, 525, 2627, 883, 513, 7077, 538, 1931, 547, 269, 17361, 2242, 538, 835, 4287, 547, 581, 15558, 676, 4336, 2242, 538, 519, 824, 4287, 269, 19019, 531, 3391, 585, 519, 9095, 326, 529, 11052, 1433, 1965, 686, 269, 1411, 666, 4647, 606, 10380, 3391, 267, 3732, 1239, 267, 543, 519, 5767, 4528, 540, 512, 660, 332, 2354, 563, 296, 557, 6836, 513, 1906, 1965, 686, 1666, 655, 777, 6106, 1158, 8265, 4786, 267, 543, 1158, 11052, 269, 1717, 267, 4786, 16879, 4016, 4481, 547, 513, 7047, 4919, 16879, 269, 9253, 7534, 32650, 15326, 693, 2825, 1949, 1382, 20576, 1965, 686, 269, 12834, 9103, 1023, 20925, 1689, 538, 519, 2450, 543, 3892, 540, 519, 7622, 2551, 5956, 693, 519, 10315, 1377, 609, 1896, 2959, 540, 1239, 563, 29973, 4162, 540, 782, 4786, 20327, 553, 1051, 267, 5133, 267, 543, 23673, 732, 5941, 269, 4014, 519, 3618, 568, 1655, 6719, 676, 513, 838, 515, 5514, 267, 519, 3618, 568, 3006, 5701, 607, 513, 12106 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3157, 543, 1870, 1184, 3301, 2709, 1896, 2640, 547, 3906, 563, 268, 22159, 540, 4220, 2404, 609, 6959, 543, 4420, 6352, 1815, 802, 563, 268, 3687, 574, 1436, 540, 32118, 2238, 543, 4199, 729, 5653, 454, 268, 20865, 20104, 2359, 267, 2792, 267, 543, 5698, 563, 268, 24046, 4398, 543, 2799, 7607, 563, 268, 20865, 22231, 538, 4238, 543, 10220, 609, 2872, 6042, 563, 268, 13722, 18820, 543, 4824, 2773, 585, 3906, 563, 1432, 616, 519, 476, 276, 4295, 1870, 3157, 888, 2467, 616, 2947, 4295, 1870, 3157, 602, 616, 1898, 585, 519, 8647, 540, 1022, 3919, 269, 1452, 3157, 616, 2629, 585, 8236, 519, 3919, 781, 3853, 543, 6859, 563, 268, 21864, 2359, 3157, 4125, 4259, 1279, 3856, 3853, 543, 6859, 267, 543, 3384, 454, 268, 7358, 1049, 3157, 2327, 3608, 543, 2500, 6765, 540, 2472, 610, 2533, 267, 1519, 2504, 267, 27147, 267, 11891, 2359, 267, 2298, 1852, 267, 543, 6075, 3028, 563, 268, 11038, 3157, 4125, 5883, 2883, 2200, 547, 2327, 2883, 3853, 616, 1558, 543, 4220, 616, 7307, 563, 268, 5274, 12754, 3157, 2327, 519, 1318, 1004, 609, 519, 1318, 1983, 616, 538, 1747, 563, 268, 16373, 3157, 4125, 7114, 543, 17598, 6075, 2115, 543, 4180, 2500, 6725, 547, 3077, 5561, 563, 1432, 616, 519, 476, 275, 6688, 540, 3157, 888, 19968, 3157, 666, 581, 19040, 883, 2185, 1292, 2010, 912, 268, 5004, 3157, 281, 3743, 585, 2949, 4058, 267, 11558, 267, 543, 1852, 540, 606, 3919, 563, 268, 7358, 1049, 3157, 281, 4295, 2238, 2047, 7700, 547, 519, 5137, 543, 6765, 540, 2472, 610, 2533, 563, 268, 25417, 3157, 281, 1683, 2556, 5989, 543, 2200, 585, 519, 5347, 8647, 540, 519, 3919, 563, 268, 25833, 3157, 281, 3743, 585, 6117, 5647, 543, 6454, 1369, 519, 3919, 563, 16032, 2853, 585, 7598, 3157, 2443, 2480, 11171, 621, 2336, 300, 6260, 856, 513, 1184, 1797, 596, 4076, 547, 1376, 689, 1900, 835, 269, 2334, 1797, 6998, 3054, 267, 1018, 616, 707, 3853, 543, 6859, 585, 513, 1880, 1184, 888, 2710, 596, 723, 519, 2556, 2200, 547, 4163, 856, 519, 1184, 267, 543, 875, 1058, 789, 581, 21248, 286, 5808, 3217, 5539, 585, 8876, 856, 519, 1184, 267, 543, 865, 593, 563, 291, 17805, 532, 519, 1184, 1210, 2480, 11171, 689, 1376, 547, 9096, 13071, 596, 1445, 593, 519, 960, 602, 6927, 2443, 1247, 2679, 3532, 12319, 563, 306, 9216, 12958, 513, 1900, 8386, 9912, 3391, 609, 1257, 267, 6402, 543, 23064, 13819, 32718, 563, 2791, 666, 3362, 946, 891, 585, 593, 24692, 3157, 1932, 269, 3371, 779, 513, 2480, 11171, 593, 875, 547, 593, 4580, 513, 2319, 593, 21912, 1103, 6455, 4044, 1807, 912, 31088, 32301, 568, 4105, 454, 31088, 32301, 13976, 519, 5748, 585, 513, 5347, 22892, 5106, 538, 519, 2110, 543, 1279, 2165, 563, 31936, 267, 707, 2319, 568, 2312, 593, 741, 5107, 543, 9021, 269, 901, 6971, 1022, 8458, 540, 6959, 267, 799, 666, 581, 2417, 31965, 609, 519, 948, 540, 2645, 899, 2480, 11171, 269, 3767, 1589, 827, 799, 1870, 1184, 596, 666, 2936, 538, 707, 3919, 2221, 269, 0, 17746, 2315, 8881, 9751, 281, 11146, 1280, 5020, 2201, 634, 16763, 454, 8139, 519, 8241, 14716, 23721, 454, 763, 4070, 2872, 538, 5245, 568, 1634, 585, 922, 4763, 267, 21214, 10821, 267, 5010, 267, 3540, 267, 543, 4853, 3785, 269, 898, 18271, 513, 5318, 13781, 602, 2882, 26767, 267, 23194, 15161, 267, 8030, 267, 543, 2978, 537, 516, 3464, 267, 1142, 609, 741, 2189, 5107, 543, 9021, 269, 2755, 891, 5107, 616, 1898, 585, 519, 3356, 540, 4070, 3785, 267, 789, 849, 16616, 4600, 547, 513, 3099, 540, 10898, 563, 7659, 18171, 1841, 538, 519, 8241, 14716, 12752, 454, 272, 269, 22484, 689, 1261, 2074, 454, 22998, 693, 15627, 267, 971, 607, 593, 21934, 13783, 267, 561, 5417, 619, 267, 610, 22908, 267, 568, 835, 540, 519, 3056, 3123, 540, 28896, 543, 7063, 538, 519, 4070, 2872, 269, 14146, 619, 1590, 1683, 2887, 4027, 1949, 543, 2327, 4600, 616, 8036, 538, 741, 946, 563, 273, 269, 15379, 18171, 1841, 454, 22998, 609, 5201, 666, 1291, 547, 5122, 28654, 267, 17236, 267, 543, 6850, 322, 1903, 269, 14716, 4600, 1419, 2097, 883, 3346, 609, 1379, 3515, 267, 25768, 11443, 267, 610, 5122, 3937, 267, 1818, 5122, 3106, 2629, 563, 274, 269, 15015, 30047, 543, 8210, 12455, 15299, 454, 299, 14823, 543, 8876, 5230, 2326, 610, 2645, 666, 1291, 547, 30273, 7063, 269, 14146, 619, 1058, 2936, 2922, 17666, 2853, 543, 1683, 3937, 899, 11876, 1235, 610, 7047, 338, 547, 2569, 519, 1981, 563, 275, 269, 7557, 10320, 543, 16811, 454, 23330, 908, 5230, 12227, 543, 3937, 267, 971, 607, 1835, 6951, 267, 4439, 671, 9926, 619, 267, 543, 14155, 2209, 267, 666, 581, 13818, 269, 7743, 2866, 543, 5826, 616, 1898, 547, 2061, 10913, 563, 276, 269, 12096, 532, 27014, 454, 30606, 338, 9991, 689, 15627, 610, 1373, 12628, 689, 1657, 666, 2014, 3978, 7063, 269, 20709, 1058, 5957, 3617, 2123, 8825, 3937, 630, 13048, 292, 264, 899, 2182, 22970, 543, 946, 11935, 2121, 1154, 610, 6952, 5867, 950, 2556, 563, 277, 269, 4762, 1441, 28805, 454, 22998, 538, 16876, 5624, 267, 971, 607, 512, 29168, 267, 666, 581, 5906, 1813, 547, 519, 1981, 540, 3411, 6327, 267, 6757, 3154, 4598, 267, 610, 2458, 22663, 269, 29615, 12930, 2866, 267, 14910, 267, 543, 3106, 3800, 616, 1898, 563, 278, 269, 32126, 748, 15240, 1734, 454, 17746, 2315, 4600, 949, 7237, 13818, 2326, 899, 20702, 267, 1291, 267, 610, 6757, 6464, 269, 7743, 7829, 267, 4859, 267, 543, 12871, 616, 2629, 547, 2061, 4598, 543, 1072, 4220, 563, 279, 269, 30433, 543, 966, 12299, 454, 17746, 2315, 4609, 616, 1419, 26776, 5054, 267, 543, 12675, 4598, 547, 1164, 6846, 2157, 666, 1291, 547, 6217, 2530, 269, 966, 2320, 725, 689, 5230, 12227, 666, 849, 2014, 1072, 2042, 269, 24651, 4027, 543, 3937, 5826, 616, 4105, 563, 280, 269, 14333, 543, 12019, 13262, 454, 288, 20624, 779, 2916, 666, 16616, 4070, 4600, 547, 3665, 5210, 269, 14333, 2566, 543, 3002, 5829, 10108, 267, 607, 1134, 607, 4411, 2566, 543, 3834, 1278, 8926, 538, 16830, 4525, 267, 616, 1713, 4145, 269, 29615, 12930, 20697, 267, 1964, 267, 543, 3617, 7802, 616, 1898, 563, 1015, 269, 18143, 18171, 1841, 454, 17746, 2315, 4609, 666, 3984, 6211, 10898, 899, 22285, 267, 4551, 267, 543, 7786, 269, 20709, 949, 581, 693, 1981, 540, 7929, 2152, 610, 5563, 269, 7743, 9882, 543, 623, 14154, 616, 2556, 547, 11574, 891, 4220, 563, 27735, 540, 14716, 8881, 9751, 538, 5245, 454, 272, 269, 22159, 538, 31071, 20070, 3753, 454, 19187, 3106, 2866, 28382, 4600, 609, 519, 1702, 543, 1983, 547, 2697, 543, 11574, 1761, 10898, 267, 3056, 547, 513, 1713, 5786, 538, 9036, 7063, 543, 10913, 563, 273, 269, 28597, 609, 22769, 454, 288, 26894, 4031, 543, 6042, 2154, 12820, 547, 1683, 7850, 3106, 2866, 547, 741, 4070, 4600, 269, 28597, 609, 891, 6042, 568, 1898, 547, 2057, 3656, 4539, 563, 274, 269, 3687, 574, 1436, 540, 674, 7614, 885, 454, 32086, 2337, 4600, 1174, 519, 4220, 2404, 609, 741, 4247, 543, 875, 547, 6922, 1047, 873, 267, 6038, 4227, 519, 10171, 540, 14603, 10913, 593, 4070, 4609, 563, 275, 269, 24046, 11485, 17607, 454, 32552, 2866, 4679, 4600, 685, 4656, 540, 3106, 10898, 267, 1818, 873, 811, 21713, 543, 14942, 538, 7114, 543, 5466, 1761, 4220, 563, 276, 269, 20865, 8605, 2032, 454, 288, 2922, 960, 1604, 568, 1419, 513, 811, 11327, 835, 269, 1879, 4600, 616, 8746, 538, 741, 3106, 1702, 267, 789, 666, 1445, 593, 741, 4247, 1510, 30411, 610, 4250, 540, 10913, 563, 277, 269, 8779, 14205, 902, 454, 293, 1168, 518, 9036, 7063, 1611, 2539, 4600, 685, 13180, 3790, 267, 4389, 2564, 9276, 267, 543, 8519, 29987, 1813, 547, 10913, 267, 3056, 547, 1942, 9806, 585, 12820, 563, 278, 269, 10466, 540, 20709, 685, 2657, 454, 32552, 2866, 5849, 602, 4600, 616, 5483, 827, 1072, 4220, 2404, 609, 4070, 960, 267, 971, 607, 4598, 547, 13818, 2326, 267, 7452, 267, 543, 6846, 267, 4543, 873, 2149, 741, 1279, 3856, 1072, 563, 279, 269, 17073, 15863, 16721, 1563, 1145, 454, 32086, 2488, 4600, 609, 519, 1983, 543, 1702, 2877, 547, 4431, 3927, 547, 18002, 267, 971, 607, 11642, 267, 3114, 29908, 267, 610, 7063, 267, 5732, 9494, 2729, 563, 280, 269, 8871, 10056, 540, 8881, 9177, 454, 2691, 3106, 2866, 568, 3922, 2213, 267, 621, 11942, 513, 2528, 540, 3106, 1369, 519, 4070, 2872, 267, 1141, 3106, 3587, 513, 3838, 1871, 543, 513, 7104, 5539, 563, 1015, 269, 14847, 1438, 1520, 2779, 720, 454, 17746, 2315, 3549, 609, 513, 2178, 3106, 2594, 543, 513, 7029, 547, 5571, 2866, 616, 811, 2693, 547, 4482, 9952, 4600, 543, 3094, 11731, 269, 1849, 1801, 543, 8639, 1419, 4782, 2324, 609, 3549, 602, 3922, 1047, 3106, 563, 15253, 7859, 540, 14716, 8881, 9751, 538, 5245, 454, 272, 269, 1473, 25934, 9751, 454, 1607, 3355, 2866, 2488, 606, 7650, 540, 519, 4070, 3135, 779, 3106, 4507, 267, 5773, 267, 543, 6595, 10873, 269, 898, 568, 1419, 519, 1101, 1900, 585, 1007, 4600, 10024, 513, 4070, 1788, 563, 273, 269, 4937, 8881, 30332, 454, 13480, 619, 616, 8036, 538, 4909, 3106, 5773, 267, 1519, 519, 1697, 946, 540, 2123, 8825, 3937, 630, 13048, 292, 1070, 9651, 8446, 267, 8989, 5773, 267, 543, 2922, 960, 2853, 563, 274, 269, 16930, 32126, 9751, 454, 27039, 593, 519, 4070, 3135, 543, 4247, 3238, 267, 4600, 949, 4309, 2866, 593, 1808, 10898, 267, 971, 607, 2324, 693, 15627, 267, 5122, 3106, 267, 13818, 6878, 267, 16876, 5624, 267, 543, 12227, 5106, 563, 275, 269, 17073, 15863, 9751, 454, 13480, 619, 616, 13473, 593, 875, 547, 4431, 547, 18002, 267, 1519, 3595, 3106, 267, 1101, 5351, 267, 543, 27549, 5773, 563, 276, 269, 11485, 10495, 454, 32086, 538, 1981, 4879, 543, 9651, 1852, 3800, 2337, 4600, 2697, 1761, 12178, 543, 1491, 3617, 15324, 3527, 563, 277, 269, 15822, 4518, 6396, 32276, 630, 14684, 5960, 994, 13480, 619, 949, 4309, 2866, 593, 2870, 543, 1739, 17335, 5960, 267, 799, 7291, 519, 2922, 5773, 585, 1808, 4070, 4247, 563, 278, 269, 7025, 8881, 454, 1607, 5057, 6227, 3584, 1644, 547, 2825, 4027, 267, 3653, 12871, 267, 543, 6940, 2853, 593, 4070, 4609, 563, 279, 269, 2657, 543, 4270, 5630, 454, 13480, 619, 616, 8036, 593, 4509, 2168, 543, 2790, 1072, 593, 519, 2816, 267, 1519, 519, 2956, 540, 7850, 1964, 267, 6484, 267, 543, 2566, 2359, 563, 280, 269, 27943, 28597, 454, 32086, 2882, 606, 7650, 540, 4143, 8241, 17163, 1072, 543, 3106, 4031, 543, 6042, 267, 3746, 2358, 519, 3656, 13800, 540, 4600, 543, 12820, 563, 1015, 269, 23120, 9751, 454, 302, 32054, 2866, 543, 18589, 615, 6030, 616, 3177, 547, 2327, 602, 4600, 3251, 1699, 609, 3106, 2853, 543, 6042, 563, 1556, 269, 8111, 6665, 528, 543, 15440, 9751, 454, 31714, 538, 19217, 800, 610, 31707, 5107, 4309, 3606, 2866, 538, 3106, 5718, 267, 10071, 8989, 267, 543, 5883, 3106, 593, 519, 4070, 3135, 563, 1321, 269, 11657, 566, 543, 16680, 18227, 454, 32086, 593, 519, 1697, 12319, 540, 3106, 5829, 13685, 267, 24422, 267, 543, 3106, 11401, 568, 1898, 585, 4509, 513, 2922, 960, 1604, 543, 735, 2391, 609, 6042, 563, 1724, 269, 8836, 17607, 543, 9442, 454, 17746, 2315, 3106, 2866, 1419, 3746, 2478, 519, 2956, 540, 2500, 2792, 267, 16542, 267, 543, 5807, 513, 3106, 23655, 2528, 1851, 782, 4600, 563, 2304, 11137, 540, 519, 14716, 12752, 853, 1846, 538, 5245, 454, 13146, 1239, 689, 15822, 4518, 5245, 19156, 519, 2565, 1909, 540, 4070, 3106, 2866, 538, 519, 2872, 779, 1391, 585, 4824, 3106, 4093, 269, 6736, 513, 862, 754, 762, 476, 6872, 2600, 5786, 538, 5245, 779, 960, 3170, 1275, 2557, 2094, 476, 1220, 278, 267, 519, 4070, 5823, 5170, 547, 3068, 10770, 2591, 269, 769, 476, 1708, 271, 543, 476, 1708, 272, 4805, 267, 519, 4070, 2872, 6592, 476, 2190, 28896, 267, 10223, 519, 991, 585, 5571, 3106, 9283, 269, 901, 22880, 4641, 19156, 519, 13766, 540, 7347, 4070, 3106, 2866, 3292, 563, 13010, 267, 519, 4070, 2872, 12066, 956, 609, 513, 16113, 1164, 11841, 2557, 540, 3978, 5945, 6811, 267, 609, 476, 1626, 269, 280, 6811, 829, 476, 272, 267, 1822, 4600, 267, 1134, 1657, 519, 2872, 3328, 540, 476, 1015, 269, 276, 6811, 829, 476, 272, 267, 1822, 4600, 269, 901, 2557, 20546, 525, 1256, 602, 540, 5663, 543, 6683, 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 ]
[ 31012, 6243, 1369, 519, 9677, 1014, 9399, 305, 563, 763, 1520, 21186, 6789, 17876, 729, 3964, 593, 5147, 476, 1626, 267, 476, 4572, 272, 1369, 519, 9677, 1014, 9399, 305, 607, 513, 12343, 540, 519, 15521, 540, 918, 1513, 269, 634, 14097, 16287, 519, 1439, 540, 519, 24272, 30510, 22411, 538, 2622, 2782, 594, 3177, 585, 519, 6498, 540, 519, 5449, 15506, 636, 744, 4565, 770, 540, 519, 918, 583, 9820, 17135, 622, 540, 519, 6739, 7276, 1063, 11908, 543, 11894, 269, 4340, 547, 519, 6876, 519, 7187, 3368, 609, 1713, 9677, 1014, 7332, 2551, 1131, 1831, 851, 540, 519, 8168, 11908, 855, 11292, 13190, 563, 5194, 14628, 14081, 729, 3964, 538, 5147, 476, 4572, 271, 538, 715, 12112, 577, 23186, 267, 606, 1858, 536, 867, 1359, 18433, 807, 267, 11894, 543, 9459, 267, 799, 729, 10645, 676, 18433, 2103, 543, 29494, 13568, 529, 269, 2991, 519, 13567, 540, 519, 3148, 676, 519, 4414, 8136, 267, 519, 715, 12112, 577, 23186, 32534, 8168, 31012, 6243, 729, 10294, 609, 834, 29148, 13218, 257, 547, 519, 29494, 329, 8643, 9399, 305, 269, 634, 15521, 540, 18293, 543, 519, 15521, 540, 918, 1513, 3964, 519, 715, 12112, 577, 23186, 3148, 607, 606, 14628, 14081, 896, 519, 4027, 540, 519, 8168, 6243, 540, 29494, 13568, 563, 23175, 338, 540, 1533, 454, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 630, 20606, 476, 1001, 274, 994, 347, 301, 541, 27332, 23902, 27332, 990, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 19064, 565, 1731, 17369, 631, 15965, 8643, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 11908, 2008, 24820, 548, 802, 663, 337, 3733, 553, 23364, 12505, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 18433, 807, 2008, 347, 301, 541, 27332, 23902, 27332, 990, 1475, 4572, 273, 1700, 4572, 276, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 347, 294, 1794, 534, 30138, 4053, 629, 2131, 990, 1475, 4572, 276, 1700, 4350, 279, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 23277, 16554, 841, 570, 12921, 327, 752, 11535, 630, 272, 560, 942, 10534, 4572, 273, 1700, 4572, 278, 1475, 10481, 3073, 807, 2008, 16085, 600, 611, 989, 320, 1325, 12011, 5271, 1475, 4572, 273, 1700, 4572, 280, 1475, 288, 345, 27930, 13568, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 272, 560, 942, 10534, 4572, 278, 1700, 4572, 279, 1475, 10481, 3073, 807, 2008, 23277, 16554, 841, 570, 12921, 327, 752, 11535, 630, 273, 526, 942, 10534, 4572, 279, 1700, 4350, 272, 1475, 10481, 3073, 807, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 273, 526, 942, 10534, 4350, 272, 1700, 4350, 276, 1475, 10481, 3073, 807, 2008, 16085, 23546, 20727, 573, 2279, 663, 12011, 5271, 1475, 4350, 272, 1700, 4350, 277, 1475, 288, 345, 27930, 13568, 2008, 24820, 767, 2037, 4157, 573, 2763, 1475, 18550, 1700, 9802, 476, 4350, 276, 1475, 10481, 3073, 807, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 274, 6113, 942, 10534, 4350, 276, 1700, 4350, 277, 1475, 10481, 3073, 807, 2008, 1805, 10102, 543, 2022, 531, 1686, 454, 1607, 3296, 2115, 3606, 14327, 585, 19027, 269, 630, 20809, 476, 1001, 272, 994, 6524, 476, 4572, 274, 267, 11908, 267, 18433, 807, 267, 543, 29494, 13568, 9783, 1142, 922, 1378, 2022, 720, 22827, 269, 634, 3690, 322, 14072, 22057, 18966, 3459, 29307, 922, 1378, 22827, 593, 5181, 476, 1428, 267, 476, 4572, 274, 267, 543, 25436, 17660, 519, 5094, 1065, 28362, 923, 262, 2152, 593, 5239, 476, 272, 563, 763, 1101, 2152, 15538, 540, 930, 540, 519, 22827, 540, 6576, 543, 18433, 807, 936, 2745, 539, 609, 513, 5182, 5627, 519, 2947, 268, 12072, 27099, 540, 519, 18966, 3330, 519, 2798, 269, 7136, 633, 10637, 2348, 1305, 538, 267, 713, 729, 4553, 676, 606, 3390, 540, 519, 18966, 781, 1378, 6272, 267, 2185, 2418, 540, 513, 2070, 540, 3282, 4610, 267, 543, 2185, 609, 513, 1395, 5653, 540, 8168, 6698, 936, 10239, 543, 3282, 3541, 9581, 267, 2418, 8151, 689, 476, 2412, 267, 1822, 547, 476, 4335, 267, 1822, 13193, 7632, 269, 634, 476, 2412, 267, 1822, 13193, 7632, 543, 476, 4037, 267, 1822, 13193, 7632, 941, 1287, 1147, 12737, 539, 547, 476, 10384, 267, 1822, 13193, 7632, 269, 2201, 5239, 476, 2190, 267, 519, 22827, 941, 556, 268, 1170, 4240, 609, 2418, 689, 476, 272, 547, 476, 1240, 4154, 737, 641, 1815, 802, 269, 18786, 538, 476, 4572, 275, 267, 519, 18966, 1031, 22827, 540, 519, 8168, 5742, 563, 7197, 540, 519, 22827, 540, 519, 18966, 616, 711, 2523, 4686, 2221, 267, 609, 476, 1960, 279, 5777, 538, 519, 2475, 259, 272, 1700, 273, 2039, 267, 4352, 519, 936, 21646, 593, 29515, 22827, 2039, 909, 547, 2475, 259, 1220, 269, 1306, 1522, 581, 4397, 689, 513, 2110, 1974, 540, 6165, 267, 1031, 22827, 616, 1447, 1455, 982, 30694, 543, 6227, 616, 711, 1419, 2938, 563, 268, 918, 1513, 6243, 454, 268, 13738, 32534, 8168, 31012, 6243, 454, 268, 26403, 1014, 1700, 14582, 528, 11701, 8168, 31012, 6243, 454, 268, 10787, 8109, 6243, 454, 268, 5213, 6243, 454, 268, 918, 889, 534, 4658, 781, 6243, 454, 268, 28554, 4115, 8168, 6243, 454, 268, 3115, 28362, 923, 540, 519, 8168, 5742, 454, 268, 918, 2674, 322, 5633, 6243, 454, 268, 6129, 344, 476, 1960, 275, 267, 6032, 269, 476, 4489, 1700, 4572, 454, 268, 6129, 344, 476, 1960, 275, 267, 533, 269, 476, 25090, 454, 268, 2843, 501, 3522, 18547, 8563, 18547, 13194, 4736, 18547, 9326, 16044, 482, 29391, 3264, 13077, 30530, 9326, 21444, 476, 1001, 276, 268, 6021, 268, 1839, 693, 519, 10158, 3724, 10724, 269, 2843, 495, 17201, 9841, 20732, 3522, 9326, 11012, 13833, 20046, 4736, 18547, 9326, 16044, 491, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 267, 476, 274, 268, 3264, 15800, 13194, 9686, 1421, 28314, 6459, 269, 476, 16417, 9686, 269, 2843, 494, 269, 2843, 506, 269, 2843, 509, 4814, 3378, 17153, 18775, 13833, 269, 2843, 506, 25974, 7549, 27593, 281, 29112, 13833, 20046, 4736, 18547, 9326, 16044, 491, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 267, 476, 3192, 273, 269, 2843, 351, 269, 476, 280, 630, 288, 269, 631, 269, 1160, 330, 1817, 990, 282, 1696, 620, 1421, 32308, 269, 630, 3192, 273, 1040, 834, 9558, 322, 14072, 22057, 18966, 2668, 4279, 8168, 15610, 630, 514, 6739, 1040, 5292, 269, 476, 280, 269, 18293, 281, 8168, 15610, 8094, 268, 590, 777, 541, 990, 476, 1001, 276, 267, 6032, 269, 476, 2004, 1700, 6872, 454, 268, 670, 1168, 8636, 476, 1960, 274, 267, 533, 269, 476, 27244, 454, 268, 2349, 879, 15414, 476, 1220, 278, 267, 533, 269, 476, 18891, 454, 268, 7956, 540, 519, 15521, 540, 918, 1513, 454, 268, 834, 9558, 322, 14072, 14901, 1923, 853, 10102, 543, 2022, 531, 1686, 1923, 853, 2086, 13328, 14532, 2668, 21444, 689, 519, 3312, 593, 476, 1001, 278, 268, 1321, 268, 1691, 269, 8158, 476, 1321, 4864, 476, 1001, 279, 563, 268, 2349, 879, 15414, 267, 30227, 630, 9802, 476, 1220, 278, 1070, 834, 6781, 16223, 1794, 807, 281, 4793, 1258, 720, 543, 5295, 538, 519, 23237, 16527, 2580, 2817, 885, 14430, 267, 476, 3374, 630, 273, 2567, 476, 10711, 1700, 22446, 267, 8222, 281, 1015, 269, 10482, 271, 270, 27947, 4962, 280, 3445, 278, 23713, 276, 6246, 1240, 267, 590, 273, 290, 2839, 476, 12553, 3199, 274, 28091, 454, 268, 11206, 1512, 6261, 5674, 7806, 267, 18264, 1329, 928, 630, 20464, 476, 1001, 279, 1070, 834, 306, 990, 2884, 8549, 1143, 693, 4518, 281, 16497, 689, 519, 3778, 540, 519, 3690, 322, 14072, 22057, 18966, 267, 476, 4572, 273, 268, 4350, 277, 2580, 808, 1695, 337, 321, 6686, 7815, 24166, 717, 525, 577, 747, 974, 27777, 1755, 335, 553, 267, 476, 4792, 630, 275, 2567, 476, 276, 3066, 1700, 4649, 280, 454, 268, 670, 1168, 8636, 267, 645, 14371, 269, 630, 1960, 274, 1070, 834, 6781, 16223, 1794, 807, 281, 513, 1966, 540, 3961, 543, 9562, 2580, 6239, 7489, 11752, 267, 476, 1321, 630, 274, 2567, 476, 29045, 1700, 26825, 267, 8222, 281, 1015, 269, 10482, 271, 270, 271, 2918, 4097, 280, 4375, 274, 5400, 275, 25484, 866, 454, 268, 18999, 267, 6424, 21244, 630, 3422, 273, 1070, 589, 3778, 540, 7073, 11908, 267, 5507, 281, 1284, 16582, 26709, 543, 12832, 565, 5459, 454, 268, 590, 777, 541, 990, 267, 1488, 338, 11726, 928, 630, 1001, 276, 1070, 3245, 18366, 547, 4201, 16860, 538, 519, 24272, 30510, 281, 634, 8168, 5742, 543, 519, 1818, 540, 2806, 16223, 1794, 807, 267, 3162, 744, 1087, 564, 807, 543, 18491, 1941, 334, 10127, 629, 12112, 267, 1715, 3840, 4975, 281, 30296, 267, 9768, 476, 7818, 268, 271, 268, 6078, 268, 276, 4792, 26764, 268, 278, 454, 268, 6129, 344, 267, 30370, 717, 3419, 528, 630, 1960, 275, 1070, 634, 10435, 540, 519, 9677, 1014, 13780, 630, 13553, 1196, 13776, 2349, 334, 4040, 2023, 267, 18518, 281, 18518, 2160, 4964, 0, 1432, 616, 519, 476, 275, 1292, 21437, 540, 519, 2657, 27801, 7844, 286, 634, 5859, 729, 2966, 1210, 519, 670, 13696, 267, 799, 2022, 12885, 602, 2185, 21437, 616, 1883, 9072, 585, 1857, 1072, 9439, 5275, 547, 1689, 2623, 281, 7496, 267, 2640, 267, 12117, 267, 543, 3463, 563, 1432, 568, 519, 3844, 4020, 540, 519, 2657, 27801, 7844, 286, 634, 2185, 1883, 21437, 540, 519, 1072, 3661, 2203, 616, 4857, 607, 9228, 18687, 543, 9228, 10335, 630, 18314, 7516, 540, 968, 628, 805, 25257, 543, 9228, 2640, 543, 9228, 7496, 630, 1492, 3334, 540, 968, 6339, 2640, 892, 1916, 7617, 1383, 568, 513, 5057, 540, 519, 2657, 27801, 7844, 670, 13696, 286, 634, 670, 13696, 24283, 689, 5626, 543, 8965, 3069, 609, 519, 5748, 602, 519, 1079, 3334, 540, 1072, 5829, 2623, 616, 476, 272, 264, 519, 7287, 547, 2057, 4576, 267, 610, 598, 14287, 1205, 1134, 952, 2907, 2192, 282, 543, 267, 476, 273, 264, 519, 3661, 602, 513, 1808, 1072, 2962, 786, 2061, 267, 610, 10826, 267, 4576, 563, 1432, 568, 513, 4020, 538, 1072, 2623, 286, 9502, 281, 513, 4020, 8204, 519, 13796, 10155, 540, 11775, 610, 3268, 998, 799, 2043, 616, 5156, 547, 1689, 630, 528, 711, 1689, 264, 741, 2623, 269, 0, 1432, 1772, 11982, 543, 1215, 6496, 898, 6435, 5980, 888, 1432, 568, 11982, 286, 11982, 568, 519, 2259, 540, 8105, 2371, 543, 13184, 269, 901, 2259, 729, 513, 2629, 1646, 538, 519, 4473, 540, 25161, 1480, 10340, 269, 23582, 730, 2249, 1500, 1426, 811, 10731, 267, 799, 1500, 621, 2009, 585, 3425, 547, 7017, 1524, 538, 4872, 543, 723, 1426, 1147, 680, 4926, 269, 11982, 7389, 1394, 5215, 540, 1296, 269, 3367, 593, 547, 1451, 811, 827, 519, 1686, 540, 6683, 269, 1548, 616, 519, 2640, 540, 6683, 286, 1656, 875, 1281, 621, 948, 2486, 286, 2913, 781, 1491, 513, 1413, 693, 930, 1806, 563, 293, 9879, 568, 519, 2504, 540, 1426, 454, 763, 20656, 540, 8105, 568, 513, 3395, 6161, 5001, 269, 1677, 5818, 8105, 7607, 543, 1118, 621, 811, 13476, 7874, 267, 3609, 10850, 1590, 581, 2178, 269, 1452, 10850, 1058, 1489, 2789, 8105, 1949, 543, 5512, 30398, 540, 3309, 11396, 269, 769, 930, 2665, 267, 713, 1522, 1611, 12561, 4719, 14842, 540, 7031, 610, 2030, 9960, 2553, 269, 1717, 267, 971, 2853, 1058, 581, 14284, 269, 1703, 616, 1082, 824, 4145, 602, 616, 17709, 540, 7156, 269, 634, 1739, 616, 930, 540, 873, 563, 2026, 1426, 5777, 3136, 547, 2333, 267, 2825, 543, 3662, 10304, 4145, 786, 3136, 547, 1332, 269, 769, 3345, 2914, 3480, 2342, 267, 6694, 3609, 568, 1373, 9141, 676, 2825, 4145, 543, 15314, 585, 4130, 4336, 8105, 269, 1717, 267, 6848, 3007, 547, 2825, 2152, 568, 27929, 543, 9687, 267, 8380, 2604, 593, 6705, 269, 5015, 267, 1082, 1745, 602, 8105, 19330, 513, 1279, 3856, 5133, 269, 769, 519, 2136, 2276, 543, 4516, 267, 8105, 568, 513, 2101, 23784, 547, 2518, 8337, 563, 763, 2104, 540, 8105, 1590, 1491, 1312, 1426, 3354, 543, 6917, 7622, 2115, 883, 2272, 269, 17497, 267, 2244, 26610, 538, 4000, 543, 513, 3668, 540, 4244, 24454, 3544, 540, 6683, 17225, 4264, 14556, 2305, 269, 901, 3340, 811, 6237, 2213, 6694, 2504, 1949, 602, 13104, 1507, 14516, 6705, 689, 2518, 2213, 6990, 269, 901, 666, 581, 6913, 998, 519, 556, 2275, 537, 7204, 540, 13184, 543, 27442, 1076, 8105, 269, 589, 30729, 540, 713, 7678 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5619, 267, 519, 11667, 1790, 4660, 5256, 9441, 4607, 476, 280, 563, 763, 2817, 23582, 20222, 12182, 1467, 5359, 602, 8951, 6502, 476, 1240, 547, 476, 2190, 543, 476, 1839, 547, 476, 4097, 3622, 4810, 519, 5207, 3928, 540, 15982, 7649, 5208, 7379, 309, 269, 3571, 3966, 923, 2322, 11735, 513, 1554, 1572, 834, 23272, 2088, 26321, 9796, 4303, 2580, 2356, 538, 5437, 267, 602, 19082, 4656, 827, 519, 1249, 602, 5824, 553, 723, 547, 960, 476, 1015, 3275, 3476, 982, 513, 3043, 5256, 547, 1118, 607, 1454, 2724, 607, 873, 563, 29638, 8635, 538, 721, 320, 454, 18814, 547, 741, 28507, 2470, 267, 1804, 772, 269, 769, 513, 5619, 2073, 2021, 941, 811, 2693, 982, 2367, 547, 2161, 789, 1185, 3144, 9397, 689, 741, 11678, 547, 1416, 585, 741, 1920, 269, 634, 2817, 23582, 20222, 12182, 1467, 5359, 602, 8951, 6502, 476, 1240, 547, 476, 2190, 543, 476, 1839, 547, 476, 4097, 3622, 4810, 519, 5207, 3928, 540, 15982, 7649, 5208, 7379, 309, 269, 1280, 1383, 267, 538, 2073, 2021, 6719, 476, 8064, 2600, 540, 519, 1072, 543, 1514, 2533, 13781, 543, 3194, 9727, 602, 3610, 1439, 909, 3623, 9760, 6690, 538, 741, 5049, 269, 8750, 532, 585, 621, 1058, 2611, 538, 1931, 547, 2226, 1699, 29095, 1222, 3292, 543, 1711, 1007, 3292, 547, 6175, 519, 4008, 3604, 269, 10738, 519, 31232, 1895, 540, 2362, 13867, 6082, 267, 3162, 9705, 6585, 519, 11097, 652, 7934, 267, 609, 2367, 15980, 476, 4391, 2600, 811, 982, 2021, 267, 593, 3328, 269, 1452, 3268, 666, 581, 3144, 693, 519, 5313, 267, 1533, 267, 543, 18513, 2157, 540, 2229, 269, 16237, 28517, 519, 2924, 540, 4600, 547, 15217, 20476, 664, 666, 948, 547, 2417, 2333, 13848, 585, 2021, 538, 519, 9036, 269, 1635, 21208, 7288, 3400, 325, 2073, 17555, 9466, 543, 661, 850, 523, 4793, 1084, 634, 4008, 7934, 538, 2628, 814, 7522, 539, 2094, 2073, 855, 621, 814, 7283, 5266, 7123, 936, 519, 2250, 476, 1428, 1296, 610, 865, 269, 3487, 540, 713, 568, 1813, 547, 3604, 538, 2829, 609, 5934, 13848, 2362, 982, 519, 5313, 5934, 13230, 543, 2436, 2829, 723, 606, 3160, 2628, 1876, 269, 14755, 575, 25311, 7391, 676, 5026, 533, 1495, 1080, 267, 4775, 9845, 616, 1869, 3843, 547, 4339, 1996, 519, 13230, 7934, 602, 6818, 538, 519, 5026, 1158, 269, 15907, 1614, 856, 540, 5722, 2021, 945, 1616, 547, 13649, 676, 2085, 476, 6858, 786, 12517, 6560, 609, 9494, 267, 3081, 595, 8042, 290, 269, 29594, 757, 945, 5815, 789, 616, 2693, 547, 3251, 693, 1753, 547, 948, 1416, 585, 741, 1453, 616, 1447, 2693, 547, 2503, 513, 4487, 781, 4110, 267, 3318, 4110, 267, 610, 12854, 3379, 547, 1346, 24584, 547, 9003, 10536, 513, 20277, 781, 4110, 269, 1280, 15816, 4080, 602, 476, 7918, 2600, 540, 2021, 1491, 544, 24471, 4734, 267, 1247, 1175, 476, 5655, 2600, 540, 2367, 1491, 942, 2476, 689, 741, 6009, 563, 10303, 15271, 693, 513, 1007, 2816, 616, 1419, 1759, 593, 15271, 693, 513, 1991, 2816, 267, 1022, 7130, 513, 4807, 4810, 538, 1018, 1352, 729, 6976, 538, 519, 2250, 786, 4163, 4464, 543, 7623, 538, 2104, 6009, 269, 17906, 267, 14822, 267, 29049, 6816, 267, 543, 5842, 12770, 2907, 1450, 7264, 945, 20618, 607, 1970, 4747, 547, 7390, 2146, 2852, 585, 1863, 563, 1103, 4864, 6011, 1197, 267, 519, 11686, 7245, 9783, 513, 3251, 1354, 621, 3893, 25093, 269, 1280, 1762, 2021, 267, 519, 7934, 814, 7522, 539, 676, 513, 2147, 14345, 936, 942, 269, 6468, 616, 26173, 538, 2229, 563, 29638, 8635, 5013, 454, 29995, 267, 713, 1797, 9361, 3623, 1836, 543, 18906, 1947, 538, 1362, 269, 1280, 15816, 4080, 602, 476, 7918, 2600, 540, 2021, 1491, 544, 24471, 4734, 267, 1247, 1175, 476, 5655, 2600, 540, 2367, 1491, 942, 2476, 689, 741, 6009, 269, 9197, 5241, 2875, 10211, 24675, 8749, 1082, 1762, 4892, 2484, 883, 519, 2942, 2427, 540, 519, 5763, 1899, 267, 609, 519, 3389, 5006, 585, 4775, 1053, 269, 634, 4008, 2628, 7934, 4016, 547, 519, 11667, 5993, 2628, 540, 782, 4807, 945, 960, 2407, 942, 543, 1032, 15778, 267, 3976, 3379, 547, 519, 2628, 540, 513, 2147, 4282, 540, 2367, 269, 634, 10457, 1331, 835, 945, 814, 513, 11556, 585, 6976, 1920, 4734, 2443, 11420, 1807, 918, 1009, 523, 28711, 756, 8681, 11652, 1776, 609, 513, 17629, 4132, 5516, 1544, 2073, 6845, 1807, 10906, 25303, 269, 28266, 1546, 299, 879, 549, 667, 4211, 307, 2073, 12662, 8521, 10873, 27137, 607, 8506, 2312, 20319, 6788, 689, 519, 1376, 540, 7694, 20196, 1450, 4600, 547, 7662, 8112, 689, 741, 12820, 267, 1247, 7863, 4600, 689, 2883, 1427, 531, 2747, 610, 7694, 7130, 269, 3557, 2861, 3160, 2628, 4031, 543, 9870, 1533, 5934, 13230, 2157, 666, 543, 798, 1404, 606, 1271, 1909, 538, 19086, 6237, 4008, 8635, 267, 855, 18487, 4507, 547, 2232, 11173, 4008, 2628, 8635, 616, 2556, 269, 634, 4130, 16468, 9566, 5798, 540, 2021, 849, 723, 547, 12701, 2417, 982, 5256, 16468, 9806, 267, 3274, 1317, 2021, 723, 3476, 1272, 2503, 17473, 269, 634, 11686, 7245, 666, 576, 1194, 1082, 540, 891, 11731, 543, 26823, 2471, 16172, 1310, 5518, 18496, 11686, 3576, 5604, 269, 3690, 14054, 9483, 717, 2355, 13834, 20677, 717, 2355, 21058, 26730, 3990, 23909, 2443, 971, 607, 1126, 3249, 543, 13962, 3028, 2443, 3136, 547, 19582, 519, 2539, 2196, 7714, 540, 519, 772, 269, 15788, 267, 1114, 2516, 540, 2021, 1995, 3982, 10616, 538, 2628, 538, 519, 9036, 1813, 547, 9003, 741, 5198, 269, 7324, 519, 476, 2641, 2477, 8989, 1239, 585, 693, 2547, 835, 1032, 1282, 519, 1974, 267, 519, 4639, 7813, 543, 717, 18054, 1185, 519, 6574, 19261, 267, 609, 2367, 1821, 7627, 1175, 476, 1626, 2600, 607, 1454, 942, 547, 10002, 4660, 6469, 543, 11928, 1516, 960, 607, 2021, 269, 16319, 899, 513, 862, 976, 1619, 2014, 267, 1318, 286, 4438, 10026, 267, 1647, 267, 543, 1164, 1153, 267, 8695, 3136, 547, 1831, 811, 8746, 538, 741, 5759, 543, 7048, 593, 741, 4987, 547, 8011, 563, 22372, 593, 476, 1691, 2689, 0, 763, 16522, 4854, 7186, 540, 10334, 454, 268, 476, 272, 269, 272, 330, 20042, 454, 2690, 5553, 267, 7350, 729, 1298, 1042, 593, 519, 2079, 540, 519, 18784, 543, 12550, 2675, 8084, 10600, 267, 855, 2094, 519, 1439, 540, 519, 476, 866, 628, 2540, 621, 24482, 7550, 10282, 607, 513, 1797, 547, 1174, 6211, 1949, 267, 22541, 5063, 676, 519, 21554, 540, 10991, 7350, 269, 12634, 10991, 7350, 568, 9247, 7768, 540, 1585, 968, 516, 14142, 11031, 892, 609, 1114, 2409, 267, 4654, 267, 23199, 543, 989, 31789, 8348, 547, 1174, 6211, 1949, 543, 24568, 1880, 23121, 11653, 873, 585, 6061, 1072, 267, 1426, 267, 1648, 543, 2825, 2042, 269, 16522, 4854, 7350, 568, 711, 1152, 606, 10137, 540, 2757, 4719, 4702, 1141, 2637, 13443, 3525, 1881, 5029, 3359, 630, 14875, 11675, 264, 616, 3812, 267, 855, 621, 568, 849, 1439, 15735, 540, 1585, 2609, 602, 1450, 519, 11944, 540, 1007, 5841, 1272, 3029, 269, 769, 713, 3184, 267, 513, 5618, 1686, 540, 10991, 7350, 568, 4843, 267, 4553, 676, 513, 6609, 540, 922, 1034, 7986, 968, 339, 1026, 525, 892, 543, 513, 20790, 585, 11008, 2358, 519, 1585, 4702, 4485, 4867, 13736, 538, 519, 2361, 269, 1323, 7650, 540, 4540, 543, 13439, 1417, 10648, 11675, 568, 849, 2016, 267, 1519, 930, 540, 741, 3156, 607, 1134, 607, 19777, 23245, 543, 1979, 846, 2579, 4220, 269, 7053, 267, 930, 2591, 267, 21140, 543, 19433, 525, 538, 10991, 7350, 3564, 519, 14541, 616, 1360, 13713, 8947, 267, 3226, 609, 2543, 547, 2518, 1514, 5126, 267, 24339, 26494, 540, 7636, 7350, 267, 2825, 4145, 267, 3609, 7939, 267, 519, 10648, 302, 7521, 267, 2923, 1728, 701, 267, 1857, 10343, 267, 543, 519, 3390, 540, 759, 584, 5550, 532, 17255, 1272, 563, 21292, 7049, 2045, 8943, 16522, 4854, 10334, 32081, 3798, 1746, 27275, 26590, 28614, 15540, 16522, 4854, 4437, 6048, 454, 272, 269, 272, 16522, 4854, 5020, 2776, 600, 1076, 454, 763, 2596, 1770, 540, 1272, 568, 519, 1591, 267, 609, 519, 19206, 540, 4719, 19021, 640, 543, 4720, 607, 2189, 10689, 12201, 269, 1280, 5553, 267, 7350, 814, 1044, 519, 2257, 540, 1272, 5059, 593, 519, 2079, 540, 519, 18784, 630, 332, 19830, 6951, 267, 2281, 267, 8031, 267, 3092, 4700, 543, 12550, 2675, 8084, 630, 514, 4167, 338, 267, 2831, 267, 2371, 267, 3092, 4700, 10600, 267, 855, 621, 814, 7930, 7550, 10282, 607, 513, 1797, 547, 1174, 6211, 1949, 2094, 519, 3735, 476, 866, 628, 2540, 269, 769, 476, 6245, 280, 267, 585, 3236, 267, 538, 513, 6073, 602, 568, 24188, 540, 2221, 779, 2923, 267, 519, 11785, 670, 14283, 11356, 4080, 2283, 14260, 519, 960, 540, 519, 2475, 8566, 9007, 29489, 10496, 13196, 700, 4141, 321, 607, 519, 968, 21551, 540, 1272, 892, 630, 30761, 476, 1001, 271, 1040, 700, 4141, 321, 630, 6245, 280, 264, 568, 1634, 585, 1010, 8798, 540, 5841, 851, 1156, 14003, 281, 25782, 1646, 729, 13251, 676, 8156, 4262, 2712, 24739, 5798, 609, 22803, 20919, 269, 700, 4141, 321, 22885, 540, 2713, 7103, 607, 3114, 6191, 267, 543, 646, 6322, 585, 513, 10991, 2257, 540, 1272, 5827, 540, 8108, 1007, 10659, 689, 519, 2609, 540, 2713, 2470, 267, 2147, 547, 519, 1259, 538, 799, 606, 11653, 12034, 1010, 960, 267, 607, 4052, 267, 3730, 543, 6417, 630, 293, 9734, 879, 476, 1220, 280, 1040, 1403, 649, 849, 11291, 519, 968, 306, 24678, 1505, 547, 1174, 1272, 892, 676, 519, 3943, 7548, 538, 4915, 267, 853, 2946, 874, 2033, 700, 14445, 630, 6977, 274, 1700, 4350, 280, 1070, 519, 968, 290, 516, 566, 540, 1007, 2249, 676, 8097, 4720, 892, 676, 519, 10656, 7762, 534, 626, 18018, 334, 632, 966, 1845, 630, 7277, 279, 1700, 4350, 276, 1070, 610, 519, 968, 306, 24678, 1007, 2249, 676, 4719, 4702, 892, 676, 519, 1977, 7762, 534, 626, 15751, 2349, 1389, 23932, 630, 6942, 275, 1700, 4198, 275, 1070, 649, 666, 1294, 602, 2093, 540, 968, 1910, 660, 4854, 1272, 892, 759, 15903, 607, 2038, 607, 519, 476, 4350, 271, 338, 630, 23173, 1842, 476, 1220, 280, 1916, 763, 1714, 1075, 9179, 540, 519, 2497, 540, 519, 11140, 3743, 585, 19021, 640, 538, 782, 2713, 7103, 267, 519, 5595, 25316, 541, 5537, 632, 20293, 1026, 31265, 545, 3679, 630, 19091, 264, 927, 1460, 267, 676, 6276, 23846, 543, 14731, 595, 4459, 538, 519, 476, 4198, 271, 338, 630, 301, 984, 601, 15356, 538, 25665, 610, 6925, 476, 3422, 273, 1916, 763, 6602, 540, 19231, 11476, 676, 654, 518, 1676, 1488, 828, 267, 12253, 715, 987, 753, 543, 16803, 8055, 538, 519, 476, 3422, 271, 338, 630, 301, 984, 601, 15356, 538, 25665, 610, 6925, 476, 3192, 279, 1916, 763, 3498, 540, 519, 19231, 11476, 585, 5027, 21921, 5364, 2029, 676, 6754, 19161, 543, 9164, 538, 519, 476, 3192, 271, 338, 630, 301, 984, 601, 15356, 538, 11061, 476, 2735, 271, 1916, 763, 1646, 540, 519, 2029, 585, 23731, 31265, 582, 728, 10282, 538, 519, 476, 2735, 271, 338, 630, 325, 1495, 4442, 960, 585, 2413, 7636, 7350, 711, 2943, 13752, 513, 17587, 15356, 1916, 763, 1646, 540, 519, 12443, 1067, 848, 20456, 31472, 630, 303, 10135, 264, 585, 519, 1808, 538, 20117, 29208, 540, 5027, 676, 918, 776, 631, 1638, 529, 538, 519, 476, 2735, 271, 338, 630, 301, 984, 601, 15356, 538, 11061, 476, 1960, 274, 1916, 7628, 891, 5756, 1079, 4760, 4930, 5219, 547, 519, 2165, 968, 1910, 660, 4854, 7350, 27535, 835, 547, 5031, 519, 1761, 1764, 540, 21921, 5364, 5027, 538, 1979, 27370, 1670, 3156, 630, 306, 5414, 321, 1023, 7288, 543, 4787, 1779, 320, 476, 3192, 279, 264, 543, 519, 824, 547, 3142, 909, 922, 10083, 538, 519, 2797, 7521, 630, 21659, 4802, 476, 3192, 280, 1040, 1635, 519, 476, 2735, 271, 338, 267, 10991, 7350, 729, 3989, 607, 968, 1492, 10282, 540, 5841, 3029, 540, 1272, 892, 630, 295, 984, 558, 476, 2735, 271, 1070, 855, 621, 849, 729, 2808, 24190, 547, 968, 321, 1470, 30261, 892, 676, 930, 3744, 630, 13051, 1676, 543, 590, 1143, 712, 476, 1220, 276, 1040, 4438, 519, 476, 1960, 271, 338, 267, 1247, 968, 9188, 793, 532, 10991, 6675, 892, 630, 305, 1177, 3149, 476, 1220, 271, 264, 2968, 513, 1455, 2259, 6211, 1382, 2523, 538, 519, 2475, 267, 519, 2361, 540, 10894, 4702, 729, 6932, 630, 289, 320, 13704, 1696, 620, 269, 476, 1960, 271, 1040, 3245, 513, 3140 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2780, 269, 595, 19897, 19306, 18906, 687, 689, 3025, 593, 519, 4541, 269, 1656, 2094, 596, 3442, 547, 4585, 621, 689, 707, 1753, 267, 610, 707, 5604, 2780, 267, 1946, 711, 1210, 519, 1655, 25319, 18297, 3103, 1774, 547, 1118, 707, 1544, 4422, 5347, 286, 0, 6944, 757, 630, 1001, 275, 910, 476, 4037, 279, 264, 20597, 760, 547, 1543, 454, 305, 1933, 16390, 476, 1001, 275, 454, 14483, 4528, 585, 476, 3066, 5437, 476, 1001, 280, 547, 4266, 630, 17739, 539, 476, 2918, 2904, 476, 1708, 271, 693, 476, 2537, 281, 2764, 994, 20969, 1700, 272, 29517, 4341, 281, 7664, 454, 1103, 713, 10406, 1765, 323, 6235, 3926, 814, 519, 1482, 2495, 607, 538, 4341, 476, 8064, 540, 519, 8752, 27990, 11621, 16390, 8807, 690, 1769, 1797, 513, 1769, 1031, 547, 2087, 519, 26149, 540, 519, 4155, 538, 2013, 540, 20893, 267, 6777, 6420, 267, 5230, 4764, 610, 513, 7452, 7088, 23584, 2775, 1797, 513, 2212, 2775, 540, 519, 2186, 5219, 547, 538, 519, 8752, 27990, 11621, 16390, 4877, 1046, 532, 1769, 1797, 513, 18736, 1769, 540, 519, 2186, 5219, 547, 538, 519, 8752, 27990, 11621, 16390, 269, 704, 1675, 540, 14334, 1797, 1765, 263, 320, 264, 1022, 942, 1282, 519, 3781, 267, 610, 6357, 264, 1022, 824, 942, 950, 972, 568, 13385, 21765, 547, 11904, 513, 1268, 21039, 538, 4158, 7802, 20559, 1043, 693, 513, 3845, 540, 476, 1911, 15432, 269, 9616, 476, 272, 12991, 697, 568, 3989, 538, 519, 9218, 269, 9616, 476, 273, 269, 2467, 616, 1100, 7222, 8847, 585, 519, 5301, 540, 10406, 476, 272, 540, 3487, 476, 1724, 540, 519, 8241, 10003, 16390, 269, 1452, 8847, 616, 2838, 585, 519, 5301, 540, 519, 29517, 3652, 8659, 538, 713, 10406, 269, 0, 296, 3333, 4512, 1744, 10098, 281, 8277, 325, 631, 3188, 548, 540, 519, 5101, 454, 7628, 519, 5545, 13567, 540, 2494, 577, 22202, 267, 621, 16219, 1082, 3255, 585, 1762, 3744, 945, 1616, 547, 8415, 713, 12733, 269, 1772, 327, 4512, 1744, 10098, 25868, 519, 8317, 267, 543, 609, 7616, 689, 519, 2782, 12080, 540, 15875, 3567, 267, 646, 8547, 5149, 476, 278, 4029, 267, 513, 6211, 543, 3114, 13137, 1382, 543, 1646, 269, 1261, 25945, 519, 6505, 652, 8186, 689, 3567, 547, 2932, 1480, 6901, 267, 2919, 11164, 4577, 20575, 23038, 267, 543, 7318, 6211, 543, 3114, 9604, 563, 20751, 513, 1906, 1296, 267, 646, 6385, 6172, 5523, 519, 16034, 267, 2469, 689, 18279, 547, 4937, 585, 519, 15875, 5545, 8136, 269, 3571, 1764, 543, 1379, 31083, 611, 15735, 1010, 3864, 11218, 267, 8277, 325, 631, 3188, 548, 269, 2991, 519, 2112, 267, 646, 535, 8898, 1010, 2669, 267, 855, 519, 31835, 729, 2111, 547, 12398, 1864, 269, 1717, 267, 646, 7858, 7007, 12046, 543, 729, 2760, 4547, 547, 5126, 563, 296, 3333, 4512, 1744, 10098, 281, 8277, 325, 631, 3188, 548, 540, 519, 5101, 568, 513, 12092, 1759, 593, 3616, 817, 1881, 6054, 1336, 538, 519, 2817, 19964, 543, 19475, 10029, 269, 1452, 616, 6054, 689, 519, 31835, 267, 10787, 5101, 5607, 16710, 4741, 267, 772, 2529, 269, 25220, 15051, 267, 918, 4725, 822, 657, 330, 2782, 9197, 1307, 23632, 267, 543, 6054, 602, 15068, 676, 4960, 538, 19519, 269, 0, 763, 1480, 1560, 32307, 6786, 1169, 942, 1945, 4422, 4636, 269, 634, 5464, 540, 891, 6786, 568, 540, 1898, 2956, 1317, 621, 11151, 3441, 543, 17522, 1369, 519, 1560, 269, 769, 713, 2376, 596, 666, 1224, 811, 827, 519, 6786, 519, 1560, 15920, 950, 621, 19330, 1978, 8324, 563, 9213, 267, 1082, 1004, 3548, 14432, 3536, 543, 9268, 267, 865, 621, 568, 3592, 7543, 547, 2743, 519, 5227, 3232, 27108, 540, 1898, 8324, 585, 1697, 8647, 269, 5047, 267, 1034, 2413, 2732, 1036, 6036, 2014, 6171, 10638, 563, 1432, 4523, 547, 707, 1560, 950, 596, 3668, 8324, 888, 2026, 6045, 676, 7189, 267, 3668, 540, 6171, 6981, 5932, 513, 3501, 2666, 585, 3676, 269, 769, 824, 1913, 267, 6171, 10638, 5540, 4105, 3252, 538, 519, 1560, 563, 309, 527, 7530, 7119, 538, 1142, 1367, 5114, 1369, 519, 1560, 267, 543, 950, 621, 19330, 1022, 540, 519, 1898, 8324, 267, 6494, 9490, 6786, 547, 2628, 3007, 563, 341, 9559, 10638, 1107, 25824, 2209, 454, 2080, 616, 2947, 1455, 6171, 10638, 2512, 10620, 832, 912, 272, 269, 15434, 22486, 15174, 5023, 454, 529, 2404, 609, 10638, 540, 6171, 645, 267, 2523, 10775, 1993, 15442, 514, 630, 289, 273, 1070, 562, 13519, 514, 630, 289, 274, 264, 543, 6171, 645, 1321, 269, 898, 849, 6920, 519, 3668, 540, 13058, 543, 4401, 269, 29618, 15174, 616, 1455, 538, 3543, 12579, 269, 16202, 811, 13687, 267, 5798, 267, 27966, 267, 804, 4461, 543, 23690, 9094, 267, 610, 16872, 563, 10144, 945, 798, 711, 3548, 5779, 1058, 3548, 811, 21378, 2812, 267, 22053, 267, 30637, 267, 12015, 14274, 267, 28140, 877, 543, 669, 731, 269, 21561, 6981, 540, 6171, 595, 267, 865, 602, 519, 4401, 568, 3362, 12842, 883, 519, 1560, 269, 634, 4999, 540, 891, 3536, 609, 22282, 267, 22648, 267, 28471, 31884, 267, 2699, 14723, 267, 543, 1866, 563, 273, 269, 30919, 543, 4552, 2530, 454, 4322, 2589, 5815, 602, 519, 1560, 19330, 13058, 267, 6171, 645, 278, 543, 3282, 19729, 8324, 630, 338, 20107, 538, 3170, 1070, 26759, 8324, 513, 267, 667, 267, 661, 543, 918, 269, 4552, 2530, 568, 2047, 1644, 547, 16283, 13058, 269, 8899, 2157, 540, 4401, 610, 4401, 10638, 5540, 519, 7067, 540, 16398, 267, 3819, 2960, 267, 30919, 267, 2699, 9634, 543, 4158, 20015, 2478, 563, 2252, 596, 3548, 513, 2603, 540, 5798, 267, 596, 949, 1995, 2042, 609, 519, 2157, 540, 6171, 645, 278, 267, 607, 519, 3940, 538, 5798, 29620, 713, 6171, 269, 16202, 811, 13803, 267, 10808, 267, 22481, 5452, 267, 2898, 9274, 267, 10683, 2472, 267, 25636, 267, 17228, 267, 678, 5684, 11241, 543, 20397, 563, 274, 269, 2699, 9634, 630, 659, 928, 264, 593, 1010, 1750, 4060, 267, 7916, 543, 25427, 338, 454, 659, 928, 950, 519, 1560, 19330, 1898, 9761, 7408, 543, 8324, 589, 543, 667, 269, 891, 1507, 15649, 18613, 1507, 521, 2931, 609, 7381, 578, 267, 543, 3006, 789, 616, 865, 11213, 602, 835, 666, 15991, 5706, 519, 31112, 547, 4894, 873, 563, 24965, 576, 6981, 540, 15459, 543, 1098, 9600, 543, 3548, 811, 2635, 9600, 269, 16202, 3165, 267, 30485, 5452, 267, 10808, 267, 30646, 543, 9267, 22756, 269, 14856, 17436, 267, 6653, 12277, 543, 2699, 18717, 547, 2333, 519, 1377, 540, 6171, 589, 538, 519, 1560, 563, 275, 269, 22210, 1231, 14815, 267, 21422, 543, 31018, 538, 519, 7916, 543, 7953, 454, 2252, 596, 723, 8068, 891, 2589, 267, 621, 568, 2693, 602, 3668, 540, 645, 8324, 267, 2523, 8324, 645, 277, 267, 645, 280, 630, 325, 4301, 3679, 264, 543, 645, 1321, 563, 1607, 5540, 519, 8229, 30804, 538, 519, 2960, 267, 543, 3123, 4965, 267, 9854, 267, 25874, 267, 17350, 543, 17441, 19261, 269, 634, 3070, 568, 547, 3548, 607, 32651, 267, 22156, 267, 5388, 267, 5798, 543, 3165, 563, 276, 269, 595, 1090, 1186, 543, 20585, 1928, 538, 519, 3952, 543, 7953, 454, 4322, 2589, 950, 707, 1560, 19330, 11379, 267, 7513, 543, 13101, 269, 1403, 596, 3323, 3257, 588, 1066, 6681, 543, 588, 1066, 6681, 3635, 267, 713, 949, 581, 519, 2601, 1946, 519, 1560, 19380, 1804, 5666, 540, 6886, 543, 1216, 19729, 8324, 267, 971, 607, 6171, 645, 563, 763, 2157, 540, 1216, 19729, 8324, 6749, 607, 513, 1267, 540, 7050, 24852, 269, 1684, 711, 16718, 707, 15904, 282, 782, 596, 723, 547, 798, 568, 2333, 519, 6981, 540, 20397, 267, 6328, 601, 22756, 267, 30646, 267, 22481, 267, 10027, 1845, 267, 13212, 267, 22282, 267, 18812, 26258, 267, 22648, 267, 546, 28888, 542, 267, 22156, 563, 341, 9559, 10638, 1107, 2589, 454, 1103, 1840, 547, 519, 1657, 2589, 267, 649, 723, 7396, 824, 2042, 602, 666, 581, 3361, 676, 6171, 10638, 912, 341, 9559, 513, 10638, 454, 325, 520, 8982, 267, 4057, 3781, 5075, 267, 4057, 2960, 1950, 542, 543, 4522, 267, 11702, 14779, 543, 513, 4412, 3748, 547, 2068, 4386, 563, 3698, 11351, 540, 6171, 645, 454, 11900, 11211, 6981, 540, 6171, 645, 272, 3123, 20026, 267, 9854, 267, 4887, 8467, 267, 4965, 267, 29338, 267, 2597, 2530, 543, 2042, 609, 519, 2295, 543, 519, 9667, 8778, 563, 24791, 645, 273, 5821, 3123, 3750, 16698, 267, 2960, 3170, 267, 31329, 3121, 538, 519, 5023, 267, 2960, 16420, 543, 6553, 563, 24791, 645, 274, 10638, 5012, 547, 15677, 267, 3668, 540, 1648, 1377, 267, 3983, 7362, 267, 4160, 267, 21385, 267, 15499, 2042, 543, 3668, 540, 14031, 563, 2252, 519, 1560, 19330, 6171, 645, 276, 945, 616, 2693, 547, 1995, 513, 8781, 14815, 538, 519, 3952, 543, 7953, 267, 25574, 267, 9854, 267, 13487, 2855, 15219, 8926, 267, 519, 20882, 547, 12154, 527, 267, 543, 20026, 563, 24791, 645, 277, 10638, 3123, 20026, 267, 17350, 267, 2960, 2042, 267, 4552, 2530, 267, 25574, 543, 5714, 12802, 563, 2252, 519, 1560, 19330, 645, 1321, 2073, 799, 786, 4308, 609, 9854, 267, 13165, 267, 4965, 267, 2530, 540, 14031, 267, 4160, 267, 6553, 538, 519, 5711, 13570, 267, 543, 17441, 19261, 563, 24791, 595, 10638, 454, 515, 2718, 16398, 543, 18655, 267, 9224, 1076, 2644, 543, 14779, 267, 15319, 543, 22224, 10549, 267, 30724, 3878, 267, 17350, 543, 20015, 2358, 568, 4299, 563, 341, 9559, 667, 10638, 454, 933, 752, 839, 7633, 543, 3123, 678, 1157, 1115, 267, 1286, 625, 267, 8459, 10007, 267, 4887, 8467, 543, 4057, 10338, 540, 7513, 563, 9377, 11351, 540, 6171, 661, 454, 529, 2404, 609, 17350, 267, 4160, 267, 12680, 2042, 267, 8519, 16846, 525, 267, 7411, 3001, 543, 4509, 3666, 269, 0, 8702, 547, 707, 1753, 1565, 585, 11016, 476, 279, 628, 2904, 476, 1708, 271, 2336, 9213, 568, 513, 4871, 9702, 256, 1677, 13767, 24260, 713, 267, 649, 616, 2469, 547, 798, 1451, 827, 966, 292, 1554, 269, 7427, 519, 5295, 4812, 2630, 547, 1265, 856, 827, 713, 4090, 748, 1554, 543, 1287, 3442, 606, 2534, 602, 596, 786, 2972, 563, 3086, 4584, 689, 835, 4882, 727, 540, 519, 2238, 7396, 2630, 912, 268, 4438, 24918, 1004, 1185, 547, 32311, 269, 3194, 543, 1265, 856, 1018, 1142, 1268, 729, 13886, 547, 269, 1548, 1131, 596, 4413, 1034, 689, 1018, 596, 2972, 4189, 2221, 888, 268, 1411, 616, 513, 17199, 267, 945, 814, 15068, 519, 2112, 256, 3503, 513, 4484, 547, 707, 6068, 3283, 693, 1753, 547, 2995, 873, 827, 707, 1995, 543, 547, 15260, 675, 873, 602, 596, 616, 2922, 269, 1411, 4465, 1406, 581, 2111, 547, 1118, 621, 547, 519, 16873, 267, 855, 596, 1058, 581, 1753, 4166, 563, 268, 634, 3703, 6554, 1616, 547, 12235, 513, 5428, 547, 8661, 966, 292, 1554, 269, 1358, 723, 2322, 596, 538, 5279, 540, 1418, 2358, 621, 269, 1358, 616, 6236, 513, 8265, 5428, 269, 1548, 786, 596, 798, 286, 1548, 786, 596, 3548, 286, 1548, 2027, 2621, 786, 4755, 286, 1548, 23598, 786, 596, 991, 286, 6904, 2027, 14538, 666, 596, 16436, 286, 3503, 782, 540, 707, 2093, 1524, 267, 547, 1294, 952, 596, 666, 6133, 621, 547, 519, 2229, 269, 0, 305, 7342, 10361, 2433, 670, 8582, 645, 5723, 22494, 2759, 5351, 17138, 11243, 17345, 307, 12460, 9743, 3482, 14630, 1103, 713, 2073, 519, 540, 4901, 568, 1480, 6375, 32759, 3644, 630, 14549, 16332, 32759, 7384, 3926, 3644, 3738, 543, 18867, 5351, 630, 10907, 638, 1600, 16332, 32759, 15540, 1717, 2073, 519, 1445, 568, 3622, 593, 875, 9002, 2179, 15978, 1547, 15978, 568, 519, 2783, 602, 4386, 13604, 476, 272, 814, 1044, 7783, 609, 7486, 1547, 898, 16401, 525, 606, 1367, 521, 12046, 23476, 798, 621, 9585, 762, 585, 2309, 626, 5563, 547, 28117, 519, 1268, 543, 12492, 9944, 519, 2175, 2813, 676, 519, 3142, 1524, 12046, 1547, 634, 3644, 568, 6655, 998, 1560, 1714, 13228, 757, 3226, 2123, 5491, 1899, 2073, 21420, 5714, 543, 943, 718, 639, 11166, 7197, 540, 519, 1453, 609, 15978, 941, 7783, 676, 741, 7486, 2357, 881, 2218, 7472, 1547, 901, 4523, 1022, 1282, 6379, 610, 950, 12419, 1547, 769, 1958, 848, 519, 1166, 17026, 2135, 814, 513, 1360, 26009, 10194, 4452, 543, 568, 711, 593, 6646, 2073, 621, 568, 2009, 585, 1200, 547, 3468, 519, 13692, 5523, 6512, 720, 538, 519, 27042, 4586, 763, 536, 3326, 1460, 890, 324, 24406, 525, 29454, 689, 519, 1875, 15200, 521, 1899, 6408, 5314, 519, 1625, 1636, 660, 320, 998, 1082, 1973 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12900, 267, 8710, 6329, 8451, 267, 799, 15237, 519, 1591, 17011, 543, 3976, 6146, 7103, 8659, 538, 519, 1216, 563, 1103, 519, 2013, 540, 3114, 3440, 770, 1216, 2126, 267, 835, 610, 811, 3114, 6878, 616, 3773, 547, 519, 3440, 770, 1216, 267, 2901, 2047, 610, 18549, 998, 14793, 3974, 267, 865, 602, 513, 6757, 5114, 3217, 1747, 602, 19754, 519, 5739, 12748, 7103, 543, 13596, 269, 1280, 519, 771, 26529, 540, 3440, 770, 1216, 267, 6878, 971, 607, 645, 269, 17645, 2073, 20841, 2073, 20841, 16755, 543, 1979, 665, 1938, 538, 2243, 269, 23520, 821, 771, 26529, 568, 849, 513, 1184, 1634, 689, 6704, 1216, 2126, 543, 666, 581, 1031, 547, 6146, 4551, 543, 8290, 538, 3440, 770, 1216, 269, 4595, 17645, 568, 18633, 267, 621, 568, 3622, 6383, 593, 3135, 689, 2011, 610, 5135, 538, 17645, 18402, 610, 676, 23735, 11868, 519, 2011, 609, 11158, 22311, 269, 25914, 710, 543, 20841, 16755, 616, 849, 1031, 593, 23593, 9635, 547, 21149, 6704, 1216, 543, 6146, 3543, 894, 4551, 543, 1082, 8290, 269, 15316, 1979, 665, 1938, 666, 849, 581, 1031, 547, 6146, 12748, 7103, 267, 4551, 543, 8290, 563, 23330, 566, 1510, 3440, 770, 1216, 5385, 454, 1103, 519, 29291, 267, 513, 3440, 770, 1216, 1062, 814, 1044, 4843, 585, 513, 8708, 6928, 267, 799, 1281, 711, 2154, 3440, 770, 1216, 5385, 1282, 5106, 543, 666, 4061, 798, 1510, 519, 14427, 3440, 770, 1216, 2126, 269, 1635, 1797, 540, 513, 5078, 7382, 6498, 543, 513, 7222, 23028, 543, 10398, 532, 1062, 267, 609, 513, 6190, 3586, 2179, 540, 3440, 770, 1216, 267, 6190, 6617, 585, 519, 2838, 15205, 2175, 540, 519, 6928, 568, 24458, 676, 23028, 1063, 519, 13688, 269, 634, 3440, 770, 1216, 568, 5645, 18385, 538, 519, 6928, 1510, 4947, 883, 3346, 609, 519, 7286, 1604, 267, 543, 1100, 21439, 666, 581, 20024, 269, 634, 6476, 609, 519, 1785, 12147, 9838, 6671, 8708, 6928, 267, 538, 799, 1585, 15205, 2665, 941, 8947, 267, 2982, 602, 713, 4244, 568, 1134, 14018, 269, 769, 1840, 547, 10992, 519, 16856, 6617, 267, 713, 2875, 5098, 849, 3177, 2963, 540, 24694, 3106, 538, 13076, 609, 519, 1699, 11745, 1242, 6042, 540, 25663, 3008, 4586, 268, 4139, 31845, 9257, 281, 11831, 770, 4826, 5004, 13482, 1547, 594, 19616, 267, 5507, 476, 1220, 276, 454, 268, 4168, 2725, 15590, 330, 839, 1547, 281, 5811, 540, 3440, 770, 1216, 2126, 593, 694, 6210, 532, 9635, 1547, 31297, 6953, 541, 7921, 267, 14502, 2160, 267, 5098, 267, 476, 1220, 277, 454, 268, 20913, 268, 3891, 514, 345, 670, 5255, 27346, 267, 4168, 2725, 15590, 330, 839, 281, 11831, 770, 1216, 2126, 910, 606, 7650, 1547, 769, 281, 5576, 858, 1299, 670, 2378, 523, 2073, 3143, 269, 476, 274, 270, 1220, 278, 454, 268, 15576, 10937, 19134, 580, 281, 5071, 540, 513, 8708, 6928, 585, 5106, 1510, 3440, 770, 1216, 5385, 1547, 17976, 693, 519, 5254, 294, 10554, 968, 10743, 2743, 12752, 892, 593, 5239, 476, 3066, 267, 476, 1001, 271, 693, 519, 2160, 540, 667, 7572, 7921, 7232, 1087, 523, 454, 268, 15576, 10937, 19134, 580, 281, 5071, 540, 513, 8708, 6928, 585, 5106, 1510, 3440, 770, 1216, 5385, 1547, 769, 281, 5729, 1504, 540, 519, 26676, 20761, 5980, 2073, 476, 1001, 271, 454, 268, 11137, 540, 519, 13482, 593, 519, 594, 19616, 3896, 454, 268, 13482, 593, 519, 16424, 543, 9615, 540, 11831, 770, 4826, 543, 20767, 9323, 689, 590, 4721, 6902, 8158, 5437, 476, 736, 267, 476, 1001, 271, 454, 268, 26954, 5013, 827, 3440, 770, 1216, 269, 630, 12626, 994, 268, 4937, 2376, 593, 519, 11831, 770, 4826, 13482, 609, 513, 3095, 547, 519, 2407, 1257, 630, 14457, 282, 4436, 994, 268, 4139, 31845, 9257, 4139, 13482, 585, 519, 6513, 543, 5004, 540, 590, 4721, 262, 11831, 770, 4826, 543, 20767, 9323, 630, 5408, 281, 1230, 6761, 1315, 11831, 770, 4826, 5004, 282, 2296, 994, 268, 575, 3326, 553, 577, 4621, 738, 532, 19709, 630, 14457, 282, 476, 6246, 737, 289, 264, 593, 519, 4367, 540, 16678, 2249, 538, 3440, 770, 1216, 630, 23389, 994, 268, 26954, 5013, 827, 519, 3440, 770, 1216, 630, 12626, 994, 268, 681, 2788, 9539, 528, 6975, 670, 6686, 3149, 10458, 281, 11831, 770, 1216, 910, 513, 11786, 5420, 269, 1714, 325, 523, 2041, 842, 584, 332, 14492, 454, 268, 28477, 1068, 700, 20044, 281, 3440, 770, 1216, 1062, 563, 268, 16423, 32184, 1284, 527, 17427, 518, 281, 12824, 24633, 540, 3440, 770, 1216, 7382, 9115, 538, 9635, 4586, 268, 968, 1805, 578, 25498, 892, 21279, 519, 7286, 5117, 1547, 0, 305, 4169, 543, 922, 2010, 454, 30547, 540, 7725, 454, 305, 4169, 616, 606, 14919, 540, 835, 610, 811, 6886, 4371, 1927, 676, 3114, 7554, 563, 293, 601, 1091, 1706, 543, 21247, 616, 519, 1034, 1455, 6886, 1336, 538, 7725, 563, 763, 3621, 1353, 540, 7725, 568, 1572, 4620, 14347, 563, 17780, 593, 519, 7154, 540, 5250, 1614, 2101, 2516, 540, 7725, 616, 3989, 5337, 15667, 267, 24348, 267, 543, 23009, 545, 563, 296, 326, 928, 748, 32520, 2443, 4396, 1881, 689, 29351, 543, 23419, 563, 306, 539, 21747, 32520, 2443, 519, 1267, 540, 18254, 540, 15998, 540, 7725, 563, 18404, 18982, 545, 32520, 2443, 4646, 856, 540, 4540, 7725, 18460, 973, 31051, 1436, 563, 15650, 540, 7725, 454, 296, 326, 928, 748, 32520, 610, 12729, 32520, 454, 3528, 7421, 519, 2557, 540, 1689, 538, 2837, 543, 2604, 689, 519, 2627, 2509, 519, 9703, 563, 18404, 324, 832, 267, 607, 789, 4866, 547, 519, 1482, 1826, 540, 2326, 3618, 568, 1500, 540, 563, 294, 9545, 2787, 568, 3152, 2282, 519, 18635, 543, 1447, 693, 519, 20337, 563, 24836, 6143, 31096, 267, 799, 568, 519, 1689, 538, 8904, 1871, 2687, 547, 519, 2527, 540, 1570, 267, 3947, 721, 1344, 827, 519, 2326, 538, 519, 3618, 779, 9703, 563, 10907, 573, 545, 7725, 616, 27537, 676, 513, 1164, 1543, 540, 21958, 630, 32483, 345, 543, 21688, 1091, 1706, 264, 909, 547, 476, 3199, 829, 1298, 563, 763, 1964, 568, 5258, 1851, 26459, 267, 12659, 23653, 267, 13101, 267, 4401, 12547, 267, 18654, 3092, 563, 4322, 7725, 723, 513, 14758, 1543, 540, 18219, 6886, 899, 4401, 543, 13101, 269, 9747, 267, 789, 616, 1447, 10053, 543, 616, 14402, 538, 7990, 982, 2596, 7725, 563, 4322, 7725, 13822, 519, 590, 658, 6712, 540, 519, 12933, 563, 18814, 547, 519, 4430, 540, 13339, 267, 15755, 29351, 3579, 338, 3728, 543, 1281, 711, 2095, 543, 3262, 2484, 2476, 563, 11947, 10239, 616, 4646, 540, 713, 1826, 540, 4224, 563, 11754, 7725, 602, 616, 2182, 267, 11741, 267, 7372, 543, 11259, 547, 29056, 563, 294, 3757, 924, 267, 21247, 543, 21688, 1091, 1706, 616, 6093, 1806, 563, 4322, 7725, 616, 4057, 538, 21958, 630, 12671, 476, 2412, 829, 1298, 5148, 3172, 525, 807, 1543, 568, 909, 547, 476, 2412, 829, 1298, 267, 543, 519, 6967, 568, 3262, 936, 4401, 12547, 267, 18654, 267, 26459, 267, 12659, 23653, 267, 11379, 3092, 563, 18814, 547, 1970, 21958, 1543, 267, 519, 2385, 1570, 540, 971, 7725, 3579, 338, 7444, 543, 3976, 267, 8928, 543, 19082, 2484, 2476, 269, 901, 2095, 543, 9023, 2285, 4473, 547, 6676, 9476, 563, 763, 4527, 540, 5230, 2609, 791, 11301, 547, 891, 7725, 513, 4158, 7990, 269, 3502, 1373, 1360, 2182, 267, 891, 7725, 616, 649, 9312, 5266, 3362, 563, 15368, 5306, 267, 575, 13741, 549, 543, 546, 11217, 924, 616, 6093, 1806, 563, 4504, 28424, 5337, 15667, 7725, 454, 2252, 29351, 3579, 338, 7444, 693, 1390, 17909, 267, 7777, 9274, 4646, 538, 519, 7725, 949, 581, 1360, 1804, 563, 22746, 7725, 616, 1572, 703, 28424, 7725, 610, 726, 583, 4577, 7725, 630, 324, 3052, 269, 21081, 924, 1916, 4322, 7725, 2408, 593, 519, 2627, 1152, 1310, 1373, 10575, 26661, 543, 3954, 24231, 563, 15761, 28424, 5337, 15667, 7725, 630, 299, 6072, 610, 26439, 545, 7725, 994, 268, 590, 5844, 9023, 540, 29351, 1175, 2630, 519, 2627, 610, 23419, 1657, 519, 2627, 2164, 538, 1507, 543, 5347, 9274, 538, 7725, 607, 4028, 9023, 11151, 16358, 1436, 267, 607, 513, 1267, 267, 971, 7725, 616, 5386, 3766, 11712, 563, 268, 6270, 7725, 616, 1572, 970, 28424, 7725, 610, 15027, 7725, 630, 324, 3052, 269, 5178, 5306, 1916, 268, 634, 1546, 764, 534, 20637, 538, 519, 4095, 4050, 1231, 983, 3148, 616, 540, 1666, 5306, 545, 5169, 563, 268, 9978, 7725, 2270, 513, 3152, 8167, 540, 2596, 27911, 267, 552, 3052, 269, 540, 4401, 267, 26459, 267, 610, 13101, 267, 543, 616, 3976, 16437, 518, 543, 18632, 538, 7990, 563, 306, 539, 21747, 7725, 616, 4646, 676, 12776, 2305, 267, 28051, 543, 735, 9146, 540, 21439, 563, 17798, 267, 789, 616, 30305, 610, 14404, 1881, 540, 8795, 11098, 525, 269, 7151, 281, 32498, 267, 32549, 3092, 563, 306, 539, 9323, 616, 513, 1267, 540, 3954, 644, 566, 630, 933, 1430, 532, 543, 11761, 264, 540, 782, 2010, 540, 7725, 563, 4322, 2010, 540, 7725, 3382, 476, 4037, 829, 1298, 540, 519, 3618, 779, 12933, 855, 2019, 636, 564, 29182, 19582, 1152, 476, 276, 829, 1298, 630, 20357, 789, 616, 2139, 1152, 538, 519, 5580, 851, 540, 519, 12933, 1916, 296, 576, 20024, 24348, 7725, 616, 1572, 11489, 610, 11489, 924, 269, 6489, 31398, 657, 1243, 21439, 616, 1572, 3138, 612, 563, 27039, 2390, 519, 7154, 540, 5250, 267, 24348, 7725, 616, 9286, 883, 912, 1889, 2559, 1227, 4646, 2443, 32498, 267, 598, 6921, 558, 4733, 267, 14680, 267, 32549, 267, 3138, 612, 563, 6716, 1227, 4646, 2443, 2520, 903, 518, 924, 267, 25879, 267, 14680, 267, 5755, 563, 17057, 1227, 4646, 2443, 14680, 267, 10300, 924, 267, 1494, 1662, 563, 296, 269, 11115, 1227, 4813, 539, 20767, 21747, 32520, 454, 5445, 616, 4646, 676, 7344, 8069, 899, 4881, 1216, 267, 2842, 267, 5836, 14768, 267, 4672, 267, 3092, 563, 288, 1066, 17675, 24348, 7725, 723, 811, 5070, 543, 8273, 21092, 5536, 543, 616, 2182, 543, 24338, 269, 1358, 1106, 519, 1655, 23854, 585, 15559, 899, 15780, 543, 19386, 269, 661, 3052, 269, 32498, 563, 26855, 650, 17675, 7725, 723, 811, 10036, 543, 616, 5386, 3766, 11712, 267, 29779, 267, 6140, 6650, 1889, 762, 630, 2865, 569, 1875, 268, 1602, 748, 610, 723, 1360, 6263, 22405, 1040, 1280, 661, 3052, 269, 10036, 7723, 543, 695, 2297, 616, 15866, 2415, 650, 17675, 563, 2862, 269, 5029, 1227, 4813, 539, 20767, 21747, 32520, 454, 763, 3788, 540, 2371, 543, 2831, 616, 12617, 896, 21439, 267, 543, 1813, 547, 3002, 543, 2604, 689, 936, 2391, 6106, 267, 741, 5888, 2242, 269, 15021, 543, 14680, 616, 1134, 8153, 1806, 563, 7656, 269, 6314, 1227, 4813, 539, 20767, 21747, 32520, 454, 12850, 5627, 6886, 18493, 919, 693, 519, 5023, 540, 20950, 610, 6070, 12647, 543, 2285, 4473, 547, 853, 531, 716, 2572, 543, 26106, 698, 2466, 525, 630, 24119, 657, 1080, 540, 18654, 2451, 936, 676, 519, 18654, 2173, 12089, 1216, 607, 621, 18493, 919, 538, 519, 11895, 23572, 1916, 27039, 593, 519, 2392, 7631, 766, 540, 7513, 1543, 610, 3327, 1543, 267, 24348, 7725, 949, 581, 1608, 3249, 748, 630, 3916, 9693, 267, 25879, 267, 12373, 558, 924, 264, 610, 3327, 17675, 630, 19254, 1916, 2419, 3971, 18567, 540, 20767, 21747, 32520, 454, 5445, 616, 14404, 1881, 543, 2874, 540, 1082, 6106, 610, 31324, 563, 5445, 3180, 519, 1034, 13181, 17027, 5638, 1813, 547, 519, 7436, 2451, 3297, 676, 1585, 2520, 26491, 630, 933, 1430, 3270, 267, 2842, 543, 1216, 2095, 264, 543, 6211, 2238, 630, 325, 1601, 2812, 1916, 5445, 616, 8093, 26448, 543, 723, 15455, 540, 2371, 543, 2831, 563, 4322, 7725, 616, 3622, 24338, 543, 1450, 1216, 547, 829, 3712, 622, 998, 873, 563, 763, 2262, 23009, 545, 1797, 2048, 4219, 540, 1106, 17483, 763, 5337, 15667, 543, 24348, 7725, 10929, 2168, 543, 3114, 2242, 1813, 547, 519, 3310, 540, 2837, 543, 2604, 4611, 538, 519, 5250, 540, 23009, 545, 7725, 563, 2691, 7725, 616, 7142, 1524, 547, 2539, 2157, 676, 29684, 3157, 610, 950, 25183, 29351, 8375, 998, 519, 12933, 2501, 538, 3346, 609, 519, 12933, 531, 7725, 267, 23009, 2670, 4386, 563, 1103, 519, 1184, 540, 23009, 1143, 538, 930, 7725, 9274, 610, 6886, 1205, 11231, 538, 6106, 610, 3515, 269, 6270, 606, 11460, 568, 1572, 1165, 2747, 610, 1899, 566, 563, 15919, 6886, 610, 2326, 540, 1114, 2516, 616, 11231, 883, 20367, 6094, 547, 5394, 6106, 269, 6270, 513, 2497, 568, 1572, 6512, 532, 563, 16435, 622, 267, 11634, 626 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2262, 968, 292, 5118, 2103, 892, 630, 292, 3766, 344, 696, 328, 268, 753, 1040, 1107, 1703, 616, 849, 519, 968, 29557, 8109, 4936, 328, 5608, 519, 12358, 926, 945, 2661, 538, 5527, 543, 9459, 543, 538, 602, 2489, 1858, 269, 769, 7262, 3127, 267, 972, 616, 519, 667, 4861, 320, 610, 667, 4861, 926, 945, 616, 5302, 27935, 689, 519, 13416, 2146, 563, 7049, 2045, 2257, 4667, 547, 30599, 4011, 622, 519, 3409, 602, 519, 27956, 1091, 616, 1360, 2673, 14077, 540, 519, 7642, 269, 6904, 5012, 721, 547, 3494, 602, 538, 1249, 267, 519, 27956, 1091, 616, 851, 540, 519, 834, 1015, 4503, 11031, 540, 5840, 4799, 763, 3095, 267, 811, 1344, 454, 1607, 960, 568, 538, 519, 1857, 6389, 454, 297, 320, 1100, 1965, 10540, 523, 7192, 1122, 597, 635, 550, 30213, 679, 6864, 652, 2376, 563, 312, 320, 1100, 694, 533, 4240, 523, 513, 10722, 611, 597, 635, 550, 926, 657, 513, 1609, 324, 1148, 6403, 1529, 334, 563, 4467, 906, 666, 711, 581, 3773, 547, 713, 2376, 1022, 811, 0, 30033, 277, 10648, 307, 4728, 476, 1839, 267, 476, 1001, 280, 454, 1103, 741, 1957, 3370, 538, 519, 4760, 3163, 267, 519, 2319, 4330, 2679, 519, 3965, 3926, 543, 741, 4566, 585, 4946, 547, 922, 10342, 267, 1610, 3820, 4080, 563, 14722, 723, 1044, 2324, 20406, 4724, 2679, 7061, 5904, 543, 5121, 267, 543, 723, 1500, 26058, 538, 1312, 2127, 538, 2487, 1296, 563, 3719, 835, 32485, 3815, 568, 519, 4070, 540, 7061, 3965, 3457, 269, 6270, 3457, 723, 1044, 3710, 267, 855, 2394, 1631, 267, 789, 723, 1044, 1932, 1804, 547, 2322, 593, 513, 13863, 267, 513, 10421, 585, 4052, 3156, 563, 1103, 713, 1007, 4674, 267, 519, 3173, 1867, 3384, 513, 7061, 3965, 3926, 602, 568, 711, 1152, 1507, 2614, 547, 3514, 593, 513, 13863, 267, 855, 568, 849, 2111, 547, 23074, 1239, 593, 3747, 563, 763, 3926, 568, 1360, 1507, 267, 5111, 476, 1015, 676, 476, 271, 269, 278, 30562, 4394, 543, 814, 606, 9642, 3337, 267, 899, 513, 18578, 2401, 821, 17711, 3046, 2443, 1279, 543, 6094, 609, 513, 711, 3481, 21083, 3337, 267, 609, 19141, 593, 2901, 1439, 563, 2005, 568, 1500, 540, 586, 1777, 8922, 9647, 990, 534, 611, 622, 609, 1507, 5666, 540, 683, 1328, 26606, 267, 799, 1106, 513, 13570, 563, 4322, 19659, 538, 2490, 3180, 513, 12627, 13570, 602, 20637, 2582, 22726, 17683, 1239, 1344, 630, 14706, 267, 835, 610, 1312, 1916, 2414, 7500, 519, 3926, 267, 519, 3173, 17991, 8955, 20512, 693, 621, 267, 4929, 22726, 547, 27043, 538, 519, 2036, 267, 799, 7142, 873, 547, 581, 12842, 2443, 1492, 12122, 849, 3361, 519, 22726, 547, 10836, 689, 519, 2036, 1310, 476, 4037, 6289, 846, 6948, 563, 7628, 519, 942, 1974, 950, 519, 22726, 941, 12842, 267, 519, 3173, 17991, 12242, 8955, 20512, 693, 519, 2036, 547, 8488, 519, 556, 655, 1120, 775, 540, 519, 22726, 585, 476, 1015, 6289, 846, 6948, 267, 799, 4847, 585, 593, 24683, 663, 23023, 540, 1239, 563, 7628, 519, 942, 1974, 950, 519, 22726, 941, 4371, 267, 789, 11478, 607, 12242, 20512, 2443, 2038, 543, 3735, 563, 2414, 1397, 602, 519, 3926, 729, 2965, 13936, 1239, 1344, 267, 519, 2319, 3379, 519, 5951, 10818, 540, 519, 22726, 1312, 1354, 543, 1310, 4859, 543, 1336, 873, 547, 581, 12303, 24240, 267, 2495, 789, 1869, 4371, 741, 4642, 267, 835, 610, 1312, 1533, 2443, 621, 1185, 711, 1044, 10032, 267, 799, 5921, 519, 3926, 729, 5963, 513, 7061, 3965, 3926, 269, 0, 2171, 11567, 519, 2360, 540, 6777, 543, 2825, 4632, 593, 519, 17909, 547, 799, 4779, 846, 521, 1678, 538, 6777, 267, 543, 519, 6708, 547, 799, 4779, 846, 4553, 538, 519, 13475, 540, 824, 1863, 8573, 4474, 4779, 846, 538, 519, 10239, 540, 519, 1016, 541, 8157, 2127, 540, 7187, 2865, 13785, 269, 1284, 7318, 513, 1505, 547, 9192, 519, 4632, 602, 1860, 6777, 2298, 630, 324, 3052, 269, 5860, 543, 21052, 264, 883, 513, 2582, 4756, 602, 568, 4443, 547, 2268, 538, 519, 2361, 269, 1284, 849, 6594, 519, 6777, 2175, 538, 519, 4832, 543, 5162, 9832, 540, 4955, 7992, 4779, 846, 269, 3689, 267, 649, 5340, 9756, 9382, 602, 7000, 602, 29855, 17909, 540, 4779, 846, 8519, 609, 2810, 6777, 2298, 267, 6777, 3178, 267, 15820, 267, 543, 2011, 2837, 269, 8921, 267, 649, 1985, 1031, 519, 589, 6390, 833, 1344, 21205, 630, 288, 2975, 264, 547, 3313, 519, 1655, 2203, 540, 29855, 3178, 267, 799, 8612, 602, 519, 1271, 4632, 941, 6777, 2298, 267, 15820, 267, 543, 6777, 2837, 269, 1280, 13009, 17000, 532, 2623, 267, 519, 1655, 2203, 3769, 2011, 2837, 1152, 269, 3204, 8973, 12119, 9832, 267, 5162, 9832, 1185, 14320, 1447, 6777, 982, 519, 4832, 9832, 602, 891, 1367, 4779, 846, 2451, 267, 855, 6777, 2298, 1705, 711, 8428, 269, 15788, 267, 938, 1007, 1505, 547, 4994, 6777, 2298, 630, 1877, 267, 1210, 513, 3846, 10309, 547, 2268, 519, 3196, 2838, 547, 2046, 513, 20533, 4779, 846, 3723, 1524, 538, 519, 6777, 547, 519, 3178, 540, 513, 4779, 846, 11640, 264, 2982, 9153, 267, 543, 649, 2303, 602, 2104, 2090, 540, 796, 326, 3634, 5162, 14498, 8495, 621, 2417, 563, 306, 852, 568, 835, 540, 519, 1034, 6654, 3344, 540, 5162, 267, 543, 621, 814, 1279, 1044, 2808, 835, 540, 519, 1292, 2188, 5935, 519, 5162, 14624, 540, 796, 326, 12885, 269, 5637, 7274, 630, 323, 3704, 264, 543, 2298, 630, 323, 3748, 543, 21052, 264, 540, 6777, 616, 1271, 267, 607, 789, 2047, 3310, 1426, 8244, 267, 519, 1648, 1942, 540, 6972, 267, 543, 519, 5322, 1063, 543, 1369, 12119, 9832, 630, 303, 1046, 518, 1696, 620, 1421, 476, 2735, 275, 282, 20707, 13704, 543, 20122, 2125, 267, 476, 2735, 280, 282, 645, 18365, 749, 1696, 620, 1421, 476, 1960, 271, 282, 590, 19508, 750, 1696, 620, 1421, 476, 1960, 273, 282, 623, 879, 2917, 1696, 620, 1421, 476, 1960, 274, 282, 21890, 514, 267, 476, 1960, 276, 282, 27405, 644, 1696, 620, 1421, 476, 1960, 278, 282, 17880, 565, 5459, 1696, 620, 1421, 476, 1960, 278, 282, 13643, 267, 476, 1960, 280, 282, 11831, 1696, 620, 1421, 476, 1220, 272, 282, 667, 262, 292, 517, 267, 476, 1220, 272, 282, 9652, 1696, 620, 1421, 476, 1220, 272, 282, 17939, 710, 1696, 620, 1421, 476, 1220, 273, 282, 590, 3530, 867, 267, 476, 1220, 275, 282, 1684, 20482, 1696, 620, 1421, 476, 1220, 276, 282, 667, 1380, 5435, 1696, 620, 1421, 476, 1220, 276, 282, 7313, 1961, 543, 631, 578, 520, 267, 476, 1220, 276, 282, 966, 1170, 7815, 1696, 620, 1421, 476, 1220, 276, 1040, 1452, 9422, 543, 2825, 2188, 616, 2219, 547, 1459, 513, 2178, 16496, 2604, 593, 796, 326, 12885, 2094, 811, 1648, 568, 3006, 6170, 950, 3001, 547, 3049, 982, 1018, 568, 15849, 23624, 689, 28041, 1426, 269, 634, 3601, 540, 519, 6777, 4268, 7494, 1312, 22883, 6053, 543, 9389, 958, 267, 543, 4096, 593, 519, 17888, 2175, 1282, 18254, 543, 519, 23009, 545, 3157, 602, 2253, 5612, 27502, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 282, 3647, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 15794, 267, 476, 1960, 280, 1040, 634, 2956, 540, 6777, 3382, 849, 9775, 1369, 519, 5162, 281, 6777, 3382, 1282, 4571, 547, 3735, 5162, 568, 3622, 811, 1271, 538, 2474, 540, 9019, 982, 2038, 5162, 267, 1317, 1282, 602, 1974, 540, 519, 1032, 267, 5162, 532, 796, 326, 12885, 616, 693, 741, 9803, 1560, 2783, 630, 30761, 731, 1696, 620, 1421, 476, 1960, 272, 1916, 291, 3704, 829, 694, 814, 1279, 1044, 519, 1034, 6594, 2460, 540, 6777, 538, 11050, 2090, 269, 634, 3178, 540, 519, 6777, 17569, 9775, 7494, 543, 568, 4299, 676, 1082, 2825, 2188, 267, 971, 607, 519, 4287, 543, 4222, 540, 17888, 12798, 267, 543, 519, 2208, 1106, 543, 3337, 540, 519, 10664, 269, 16176, 568, 5176, 2141, 4514, 538, 519, 1930, 982, 896, 6806, 666, 641, 625, 267, 607, 1000, 12127, 543, 8371, 1369, 519, 4104, 11677, 9991, 6777, 269, 769, 3735, 5162, 543, 5614, 267, 2705, 267, 6777, 949, 581, 4514, 538, 1016, 2275, 534, 4878, 2127, 607, 621, 5283, 1206, 5488, 538, 519, 1463, 24106, 540, 519, 1930, 2127, 630, 10497, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 31679, 328, 267, 476, 1220, 274, 282, 667, 262, 292, 517, 267, 476, 1220, 275, 282, 654, 1074, 2401, 1696, 620, 1421, 476, 1220, 276, 1916, 763, 2298, 540, 519, 6777, 568, 5310, 540, 1256, 3152, 2956, 982, 6777, 3178, 4805, 267, 607, 621, 5540, 519, 3178, 547, 799, 519, 2831, 16173, 269, 8899, 5860, 6777, 2488, 2370, 610, 1100, 1489, 267, 855, 607, 5860, 4679, 267, 811, 1489, 568, 3177, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 1879, 4974, 5162, 10069, 7497, 267, 29855, 3178, 568, 5310, 519, 2268, 540, 968, 324, 8997, 6777, 3178, 892, 602, 568, 14191, 547, 519, 3662, 781, 1448, 540, 2070, 267, 543, 621, 814, 5051, 6591, 10343, 1851, 3173, 4974, 5162, 14498, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 645, 684, 6773, 1696, 620, 1421, 476, 1960, 271, 282, 5576, 28704, 267, 476, 1960, 274, 282, 11831, 1696, 620, 1421, 476, 1220, 272, 282, 667, 636, 2632, 1696, 620, 1421, 476, 1220, 276, 1040, 1306, 606, 796, 326, 3634, 3268, 593, 519, 6777, 267, 513, 11215, 6241, 540, 11741, 539, 6777, 3029, 896, 922, 11876, 1993, 267, 543, 519, 3337, 543, 2450, 540, 713, 6241, 5673, 593, 519, 2298, 543, 2837, 540, 519, 6777, 267, 519, 1106, 543, 2450, 540, 519, 6777, 14848, 267, 543, 519, 3178, 543, 21052, 540, 9875, 6106, 1369, 519, 6777, 17569, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 634, 11215, 4390, 540, 519, 6777, 568, 5393, 4756, 281, 4195, 6777, 568, 5176, 2141, 1447, 10053, 982, 6777, 799, 814, 1044, 593, 519, 2666, 585, 930, 942, 1317, 23009, 2670, 4386, 865, 3533, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 282, 853, 528, 1188, 1696, 620, 1421, 476, 1220, 273, 1040, 16176, 568, 849, 3622, 811, 10053, 538, 519, 1930, 982, 896, 666, 641, 625, 630, 303, 9593, 1195, 1696, 620, 1421, 476, 1220, 273, 282, 31679, 328, 267, 476, 1220, 274, 282, 717, 1409, 534, 1696, 620, 1421, 476, 1220, 275, 282, 654, 1074, 2401, 1696, 620, 1421, 476, 1220, 276, 1070, 543, 607, 585, 6777, 3178, 267, 621, 568, 849, 4299, 676, 2842, 267, 5982, 267, 2837, 267, 543, 11195, 630, 10497, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 681, 4141, 321, 828, 1696, 620, 1421, 476, 1220, 274, 1916, 7212, 6777, 3178, 568, 2653, 547, 2268, 267, 621, 568, 711, 2653, 547, 22945, 6777, 2298, 269, 4107, 2409, 616, 2864, 942, 21791, 585, 519, 2110, 5162, 2395, 543, 5924, 2154, 3937, 602, 568, 2352, 547, 3560, 610, 6023, 538, 519, 2361, 269, 2368, 540, 519, 2409, 1031, 4867, 3322, 267, 585, 1383, 267, 519, 946, 540, 513, 681, 4461, 27475, 11579, 668, 2678, 630, 320, 13409, 2389, 5792, 4496, 11425, 2966, 547, 581, 9141, 883, 519, 6777, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1070, 610, 513, 1164, 6571, 11579, 668, 2678, 630, 320, 6094, 1166, 1563, 7893, 9133, 4448, 547, 606, 3167, 1098, 706, 1356, 282, 5576, 928, 20623, 7942, 1696, 620, 1421, 476, 1960, 280, 1040, 4033, 2409, 4125, 20857, 513, 7299, 14788, 538, 519, 6777, 17569, 543, 7893, 519, 4162, 540, 1142, 4494, 14350, 630, 303, 1408, 1889, 1512, 543, 5576, 928, 20623, 7942, 267, 476, 1220, 274, 1070, 7900, 13496, 4255, 630, 299, 836, 543, 26858, 267, 476, 1960, 276, 282, 19258, 3881, 543, 13153, 7720, 657, 267, 476, 1220, 271, 1070, 610, 7893, 6777, 21226, 5973, 757, 2901, 676, 2666, 1790, 523, 564, 7992, 16986, 630, 299, 1495, 6199, 1696, 620, 1421, 476, 1220, 277, 264, 610, 676, 10386, 543, 7766, 13621, 538, 519, 2978, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 7183, 540, 891, 7403, 2285, 513, 3728, 543, 693, 519, 1482, 942, 6325, 7447, 540, 6777, 2298, 267, 543, 621, 1131, 4061, 581, 4998, 547, 9192, 782, 519, 4162, 3769, 538, 6777, 2298, 630, 323, 3748, 267, 21052, 267, 543, 9043, 561, 8727 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 519, 3476, 269, 769, 519, 1482, 1259, 269, 607, 609, 513, 2604, 540, 1932, 6550, 693, 519, 3289, 7949, 267, 609, 476, 1911, 3952, 540, 25652, 543, 513, 835, 543, 835, 27917, 628, 20878, 30979, 267, 896, 15028, 2175, 827, 29235, 29350, 6550, 2604, 568, 5833, 693, 519, 30979, 543, 513, 11166, 540, 827, 476, 18605, 17529, 513, 8792, 267, 18530, 513, 8880, 15191, 476, 15757, 3952, 543, 513, 7299, 15191, 476, 14530, 269, 621, 3217, 513, 1899, 540, 25652, 476, 6110, 3952, 538, 3259, 547, 2226, 602, 2604, 267, 602, 693, 519, 3289, 7949, 1590, 581, 2799, 547, 476, 15876, 6550, 30867, 791, 1601, 2225, 693, 8479, 560, 1144, 896, 519, 1459, 1062, 267, 952, 5126, 568, 547, 581, 2944, 547, 519, 4540, 23028, 2030, 269, 2311, 519, 3289, 7847, 593, 8549, 8265, 972, 568, 1631, 689, 9215, 302, 547, 1100, 6550, 3595, 2604, 269, 2755, 930, 540, 519, 8257, 779, 25652, 3515, 616, 8209, 476, 4335, 3952, 538, 3259, 269, 476, 1911, 6550, 3289, 7949, 2604, 593, 971, 513, 1899, 3947, 827, 17288, 6550, 693, 519, 30979, 267, 17579, 532, 689, 513, 835, 543, 835, 21144, 628, 20878, 30979, 513, 8880, 6908, 1100, 3952, 267, 610, 513, 7299, 6908, 29235, 32732, 3952, 269, 570, 339, 568, 6654, 267, 4061, 267, 602, 811, 9252, 619, 616, 1572, 585, 1765, 22764, 1131, 3411, 823, 269, 898, 1131, 849, 581, 513, 1390, 948, 547, 519, 8257, 267, 952, 519, 5216, 20878, 610, 519, 8938, 20878, 1292, 593, 8549, 8265, 941, 10736, 883, 513, 1164, 25774, 3595, 1292, 547, 581, 1031, 585, 3595, 5301, 1152, 269, 543, 269, 538, 2013, 540, 6595, 267, 547, 3049, 519, 824, 1292, 338, 269, 3245, 971, 513, 1292, 1223, 581, 5833, 513, 3289, 7949, 2604, 540, 476, 5611, 547, 476, 1220, 6550, 543, 513, 835, 543, 835, 28451, 20878, 610, 1079, 20878, 6908, 1223, 581, 1031, 267, 3079, 540, 513, 835, 543, 835, 3887, 12915, 20878, 610, 835, 543, 835, 21144, 628, 20878, 6908, 607, 693, 1459, 693, 782, 2053, 267, 543, 3006, 711, 607, 1082, 540, 891, 607, 616, 2556, 267, 1317, 267, 538, 2013, 540, 3595, 267, 2604, 1590, 581, 6854, 593, 865, 1082, 5195, 540, 1292, 338, 269, 1306, 14621, 1216, 2604, 281, 634, 3595, 8257, 540, 2480, 7949, 517, 568, 538, 519, 726, 697, 540, 513, 21471, 945, 568, 16957, 547, 798, 513, 13977, 676, 24239, 20356, 1870, 538, 513, 19939, 676, 555, 7398, 341, 20584, 4055, 269, 7324, 2104, 9283, 1590, 581, 22672, 19861, 513, 4859, 6007, 585, 519, 10794, 6202, 3595, 15372, 751, 25393, 1062, 269, 2311, 1459, 972, 616, 476, 11260, 2281, 540, 6007, 267, 547, 2226, 799, 3790, 1269, 4968, 513, 1032, 269, 589, 24362, 11578, 8704, 693, 3844, 22071, 1131, 849, 7494, 24390, 519, 8594, 17333, 9073, 267, 607, 519, 32302, 1131, 1287, 581, 10299, 936, 1079, 6191, 267, 3079, 540, 835, 269, 634, 1732, 547, 10018, 519, 3106, 540, 1272, 543, 3959, 267, 519, 3595, 7182, 1058, 646, 6905, 269, 16938, 333, 607, 547, 2061, 519, 2417, 552, 14431, 540, 3595, 10177, 1186, 282, 3595, 1965, 7870, 1058, 581, 540, 3656, 17185, 593, 782, 5656, 936, 1079, 2984, 538, 4463, 282, 3154, 9505, 32187, 1058, 581, 5116, 3544, 5656, 543, 1058, 581, 3362, 3015, 282, 3154, 11281, 4296, 1058, 581, 540, 4401, 543, 711, 1291, 282, 519, 1796, 335, 6559, 1062, 1058, 581, 540, 17185, 585, 8165, 11642, 538, 782, 5656, 811, 982, 1614, 2984, 538, 4463, 282, 849, 519, 7939, 540, 519, 5569, 532, 540, 3167, 12904, 865, 607, 547, 2061, 602, 1373, 2944, 538, 5656, 267, 10754, 267, 610, 10246, 903, 267, 8259, 538, 29077, 609, 606, 3921, 12099, 799, 1058, 581, 5293, 282, 543, 519, 4203, 31021, 519, 8257, 609, 519, 4087, 540, 782, 1164, 19581, 5653, 12904, 267, 543, 711, 4328, 621, 607, 547, 950, 543, 1141, 519, 2749, 10754, 616, 14324, 909, 610, 29572, 539, 267, 865, 602, 267, 538, 12343, 540, 711, 1373, 711, 1881, 267, 519, 8257, 949, 711, 581, 25997, 547, 979, 1896, 10945, 856, 540, 519, 1259, 538, 1931, 547, 3914, 513, 3595, 269, 2353, 891, 7840, 616, 1500, 676, 12751, 5261, 670, 269, 700, 565, 2401, 269, 945, 267, 849, 267, 10071, 958, 6585, 909, 585, 32649, 519, 1383, 540, 835, 1870, 6109, 538, 519, 2749, 799, 814, 8704, 606, 25581, 3595, 15372, 1062, 693, 922, 2030, 267, 543, 740, 591, 1206, 3870, 2406, 547, 519, 3246, 540, 7482, 585, 519, 552, 14431, 543, 3937, 540, 513, 3595, 6728, 538, 519, 7187, 851, 540, 519, 2749, 282, 519, 24223, 540, 3595, 5443, 547, 7390, 782, 12644, 693, 519, 1079, 26974, 637, 282, 519, 10380, 540, 3670, 3606, 3595, 15372, 10833, 282, 519, 6718, 540, 513, 5548, 4007, 1305, 282, 543, 519, 9836, 24422, 540, 5656, 543, 6306, 906, 676, 10492, 540, 519, 3595, 8257, 1282, 519, 1032, 269, 5565, 8536, 1079, 4627, 543, 8938, 32732, 971, 24422, 941, 1500, 267, 543, 476, 276, 3066, 711, 1182, 941, 6039, 269, 634, 1297, 540, 32302, 1282, 476, 5002, 273, 729, 476, 28510, 282, 3441, 547, 5656, 267, 1269, 1321, 267, 1960, 282, 9115, 267, 1269, 1240, 267, 26522, 269, 3199, 282, 6142, 6976, 593, 5656, 267, 1269, 1556, 267, 7176, 275, 269, 7367, 267, 593, 9115, 267, 1269, 1626, 267, 2412, 278, 269, 3199, 282, 2530, 1657, 6142, 593, 5656, 267, 1269, 21497, 269, 593, 9115, 267, 1269, 272, 267, 2568, 278, 282, 1871, 540, 3959, 3238, 267, 1269, 274, 267, 6321, 273, 267, 16020, 282, 6142, 3238, 269, 1269, 273, 267, 28883, 267, 20862, 282, 2121, 2530, 267, 1269, 272, 269, 279, 2420, 12544, 1360, 5386, 2594, 585, 12751, 700, 565, 2401, 543, 1010, 2367, 269, 2986, 519, 476, 28510, 11642, 476, 24487, 941, 16876, 547, 519, 835, 2679, 282, 476, 2420, 339, 269, 547, 6989, 1141, 3595, 3323, 282, 476, 6245, 547, 1448, 540, 5169, 269, 634, 1297, 540, 32302, 729, 519, 4102, 538, 519, 1686, 540, 519, 8977, 6497, 267, 543, 17288, 29350, 811, 982, 538, 547, 582, 269, 634, 2530, 267, 2705, 267, 729, 4130, 982, 538, 1022, 1032, 2094, 476, 6642, 279, 634, 8261, 3196, 540, 519, 8257, 568, 607, 5205, 281, 12751, 282, 13930, 8783, 282, 3061, 1622, 267, 3670, 282, 25652, 5443, 269, 3670, 7141, 282, 14903, 5443, 267, 3670, 282, 10256, 267, 5216, 1765, 20135, 267, 13977, 324, 697, 269, 634, 3937, 568, 607, 5205, 281, 10395, 1588, 3114, 2599, 543, 25652, 530, 6782, 267, 609, 1079, 24239, 20645, 13688, 267, 476, 272, 267, 1911, 3952, 540, 835, 20878, 543, 1079, 543, 835, 28451, 20878, 25652, 267, 1614, 20878, 5548, 4007, 1305, 267, 543, 13613, 17929, 513, 1079, 543, 835, 28451, 10759, 1899, 949, 581, 4448, 609, 513, 835, 20878, 1899, 547, 581, 1031, 950, 3114, 13688, 616, 25356, 2433, 4999, 3114, 9817, 543, 25652, 530, 30368, 630, 5976, 17288, 3766, 718, 517, 12718, 269, 25652, 561, 5417, 619, 267, 3092, 13776, 1614, 282, 1079, 268, 1817, 572, 25652, 530, 30368, 630, 5976, 3670, 3766, 718, 517, 9040, 322, 4169, 267, 3092, 13776, 1079, 282, 19666, 14903, 282, 3028, 14903, 282, 16706, 530, 30368, 267, 1614, 281, 8783, 779, 1207, 1375, 625, 267, 1079, 269, 634, 18114, 616, 4628, 9280, 609, 561, 5417, 619, 269, 9040, 322, 4169, 267, 1591, 541, 10612, 267, 1272, 24437, 543, 26797, 267, 3092, 269, 0, 307, 933, 324, 4779, 539, 619, 267, 17408, 324, 642, 19470, 540, 552, 523, 642, 14575, 679, 552, 523, 4779, 25005, 454, 288, 2551, 2861, 6476, 540, 4775, 543, 5256, 1482, 20967, 2385, 543, 1114, 20967, 2385, 10820, 454, 1607, 7634, 3379, 10656, 1482, 20967, 2385, 630, 18485, 4775, 1482, 20967, 543, 5256, 1482, 20967, 264, 543, 1114, 20967, 2385, 10820, 593, 1453, 779, 5626, 1134, 5630, 267, 15970, 2566, 267, 543, 1489, 538, 1126, 556, 2130, 269, 898, 729, 849, 12290, 2436, 12205, 1851, 1453, 779, 1134, 5630, 267, 15970, 2566, 267, 543, 1489, 538, 1126, 556, 2130, 941, 1114, 538, 519, 1079, 7622, 2010, 269, 4578, 941, 1759, 593, 513, 25422, 11347, 5619, 269, 631, 10248, 729, 1031, 547, 3986, 16726, 538, 4282, 4162, 1063, 1312, 2010, 540, 3885, 267, 4611, 538, 606, 25107, 3732, 540, 476, 5002, 10820, 630, 6246, 4775, 1482, 20967, 2385, 267, 476, 7367, 5256, 1482, 20967, 2385, 267, 543, 476, 4817, 1114, 20967, 2385, 10820, 264, 609, 15556, 1063, 476, 276, 268, 1240, 1296, 2025, 269, 2201, 1453, 779, 1134, 5630, 267, 2042, 538, 519, 2385, 30512, 2078, 267, 1373, 14126, 827, 519, 1126, 267, 610, 519, 946, 540, 6101, 543, 13016, 1489, 267, 1100, 1713, 3604, 941, 1336, 1063, 11299, 538, 1482, 20967, 543, 1114, 20967, 2385, 10820, 610, 585, 18971, 538, 1482, 20967, 543, 1114, 20967, 2385, 10820, 269, 3204, 8973, 835, 2460, 540, 15970, 2566, 267, 12077, 2042, 538, 556, 2130, 519, 1126, 267, 18971, 538, 1482, 20967, 2385, 10820, 543, 11299, 538, 1114, 20967, 2385, 10820, 4080, 811, 2042, 982, 741, 13413, 630, 15289, 338, 543, 11299, 538, 1114, 20967, 3885, 1040, 26681, 519, 12205, 1063, 1453, 779, 1134, 5630, 543, 519, 30661, 630, 8001, 532, 2566, 4632, 1070, 6862, 1346, 1063, 1489, 543, 519, 30661, 630, 8001, 532, 2566, 543, 1453, 779, 1134, 5630, 1070, 28209, 2059, 7622, 1826, 269, 634, 1100, 3604, 602, 941, 1336, 538, 713, 2551, 2861, 1353, 593, 1126, 4093, 7488, 540, 7622, 1826, 25495, 519, 2164, 540, 1991, 13753, 1759, 593, 13418, 5439, 269, 1452, 4681, 616, 4143, 547, 1920, 16293, 267, 9439, 267, 5480, 8387, 267, 543, 14519, 945, 3343, 1344, 593, 4008, 4763, 267, 15970, 2833, 543, 1126, 4093, 538, 1482, 20967, 2385, 3885, 563, 291, 17805, 7392, 281, 3194, 9137, 454, 26397, 4266, 281, 5412, 476, 272, 267, 476, 1001, 279, 454, 295, 564, 512, 6359, 1091, 577, 337, 3424, 16677, 698, 690, 773, 330, 588, 3881, 1990, 747, 4557, 798, 601, 632, 6632, 839, 577, 1952, 601, 6359, 651, 1865, 773, 936, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 536, 4883, 523, 646, 339, 715, 25005, 4133, 28580, 531, 613, 321, 1221, 630, 301, 25005, 1633, 679, 966, 5055, 663, 7967, 264, 751, 4714, 2544, 1066, 679, 751, 593, 1457, 4614, 684, 523, 269, 16677, 698, 690, 773, 330, 581, 334, 690, 339, 14255, 770, 552, 523, 1979, 329, 323, 14141, 513, 534, 646, 339, 6632, 839, 577, 1952, 601, 6359, 651, 3181, 520, 522, 758, 632, 12103, 1846, 577, 1952, 601, 6359, 651, 1865, 773, 1566, 632, 1768, 516, 514, 523, 8709, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 751, 581, 341, 867, 7967, 269, 4437, 329, 323, 571, 2102, 1990, 1638, 523, 15854, 522, 758, 579, 527, 323, 745, 330, 30448, 6359, 330, 2262, 523, 581, 334, 867, 324, 15505, 1566, 1990, 578, 601, 14598, 6632, 839, 577, 1952, 601, 6359, 651, 620, 338, 12103, 1846, 577, 1952, 601, 6359, 651, 4143, 773, 269, 16677, 698, 690, 773, 330, 536, 1221, 339, 281, 630, 272, 264, 6632, 839, 577, 1952, 601, 6359, 651, 2613, 331, 10402, 8709, 10686, 27688, 267, 5376, 26385, 577, 679, 2351, 27688, 593, 1457, 15605, 2131, 1566, 646, 339, 2520, 321, 1221, 8709, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 267, 620, 338, 4364, 324, 2689, 2090, 1566, 593, 1457, 327, 3572, 324, 1768, 516, 514, 523, 282, 630, 273, 264, 4695, 328, 25612, 16781, 324, 1979, 329, 323, 571, 2102, 8709, 6632, 839, 577, 1952, 601, 6359, 330, 562, 633, 879, 630, 2690, 3518, 6359, 323, 571, 2102, 5148, 630, 274, 264, 1630, 2131, 15816, 2181, 6362, 523, 563, 763, 4760, 16677, 698, 690, 773, 330, 630, 303, 539, 698, 9609, 264, 6663, 547, 12954, 543, 1489, 519, 14046, 11407, 593, 1126, 556, 2130, 267, 2069, 543, 2866, 1369, 519, 10656, 1893, 1858, 630, 763, 13814, 543, 519, 674, 12661, 880, 3148, 1040, 16677, 698, 690, 773, 330, 1193, 1161, 547, 3565, 547, 519, 14046, 7521, 267, 855, 849, 13821, 547, 5818, 519, 1857, 7521, 593, 519, 1641, 540, 1126, 556, 2130, 267, 2069, 543, 2866, 269, 4475, 267, 7418, 786, 581, 24565, 12799, 593, 1312, 741, 14046, 20519, 543, 741, 1514, 10083, 269, 16677, 698, 690, 773, 330, 3091, 281, 630, 272, 264, 14046, 4930, 8989, 593, 12170, 267, 7811, 543, 3140, 1382, 538, 519, 2361, 540, 1126, 556, 2130, 267, 2069, 543, 2866, 267, 543, 2689, 2090, 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 ]
[ 269, 7736, 582, 28845, 14001, 30553, 540, 3733, 291, 6434, 12413, 17087, 27765, 26578, 2281, 269, 808, 269, 16332, 565, 269, 476, 14917, 267, 476, 6321, 279, 279, 1700, 6321, 280, 275, 630, 1220, 272, 1916, 298, 20760, 13403, 267, 715, 1421, 16653, 523, 14150, 267, 590, 269, 1299, 20568, 267, 962, 269, 808, 269, 5940, 3307, 595, 335, 294, 5027, 543, 4874, 16394, 28649, 1790, 8432, 1097, 339, 573, 344, 997, 3679, 5595, 3613, 8681, 539, 10717, 267, 6606, 267, 12954, 7131, 1556, 322, 263, 6629, 264, 1826, 476, 273, 27765, 26578, 1591, 840, 15479, 832, 543, 7131, 1556, 322, 263, 266, 264, 27765, 26578, 2281, 547, 3132, 1826, 594, 17692, 301, 269, 808, 269, 16332, 565, 269, 476, 14917, 267, 476, 26631, 272, 1700, 26631, 276, 630, 1220, 272, 1916, 1320, 5448, 268, 5825, 5414, 985, 7288, 267, 590, 269, 1696, 620, 269, 1473, 25934, 540, 1463, 21734, 2534, 998, 27899, 17167, 6438, 13364, 269, 3163, 476, 29720, 267, 476, 15150, 275, 1700, 15150, 278, 630, 1220, 272, 1916, 2171, 9684, 2978, 2818, 585, 3730, 5717, 543, 631, 269, 19681, 874, 1512, 585, 2565, 2542, 540, 519, 12377, 269, 8081, 539, 676, 14828, 689, 519, 12080, 540, 4065, 267, 9177, 267, 11846, 267, 3163, 543, 5303, 538, 3567, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 288, 330, 4275, 267, 590, 1421, 570, 8898, 320, 267, 918, 269, 1299, 18087, 880, 334, 267, 570, 269, 570, 3326, 6438, 13364, 281, 2565, 5946, 16046, 17916, 543, 9715, 12046, 269, 14844, 16332, 565, 476, 273, 267, 476, 277, 4037, 1700, 27151, 630, 1220, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 270, 3445, 277, 6021, 454, 1607, 2376, 568, 11855, 676, 454, 307, 3326, 6438, 13364, 476, 273, 543, 476, 275, 1114, 6053, 10038, 519, 1582, 3146, 2908, 531, 543, 15285, 540, 11983, 10260, 8849, 24888, 2281, 454, 1805, 655, 8426, 3194, 1299, 10657, 630, 1708, 273, 994, 24336, 6925, 630, 1708, 273, 994, 291, 641, 8533, 667, 274, 13805, 15202, 10970, 28179, 10856, 27131, 12263, 676, 5009, 570, 3326, 6438, 13805, 476, 275, 12159, 538, 15958, 2281, 454, 28053, 12280, 1299, 8376, 630, 1708, 273, 994, 303, 8824, 3194, 630, 1708, 273, 994, 20755, 532, 568, 3388, 281, 1764, 540, 1646, 267, 30333, 543, 27266, 11733, 593, 27104, 720, 3252, 538, 17256, 8778, 5563, 454, 300, 1075, 657, 531, 16332, 1108, 630, 1708, 273, 264, 0, 8368, 540, 9115, 912, 21581, 281, 7460, 294, 281, 4024, 634, 6196, 28404, 6435, 674, 697, 634, 1715, 27649, 888, 6195, 294, 281, 4024, 519, 2025, 6669, 948, 4339, 519, 1007, 11452, 888, 18550, 476, 2190, 568, 4139, 16515, 828, 17533, 4303, 269, 2290, 540, 519, 1034, 1271, 2645, 585, 519, 6604, 540, 713, 2068, 568, 519, 7460, 294, 6669, 269, 589, 2319, 540, 3744, 689, 2185, 2477, 786, 4166, 2253, 15388, 713, 6669, 538, 606, 8966, 2796, 269, 898, 568, 9709, 547, 1449, 2436, 519, 3075, 666, 3986, 519, 1560, 781, 23640, 1996, 519, 1007, 11452, 3968, 5046, 268, 866, 543, 824, 5563, 563, 20124, 281, 16671, 271, 5398, 23792, 1315, 17421, 281, 16671, 271, 5398, 23792, 454, 18550, 476, 2190, 568, 4139, 16515, 828, 17533, 4303, 269, 2290, 540, 519, 1034, 1271, 2645, 585, 519, 6604, 540, 713, 2068, 568, 519, 7460, 294, 6669, 269, 589, 2319, 540, 3744, 689, 2185, 2477, 786, 4166, 2253, 15388, 713, 6669, 538, 606, 8966, 2796, 269, 898, 568, 9709, 547, 1449, 2436, 519, 3075, 666, 3986, 519, 1560, 781, 23640, 1996, 519, 1007, 11452, 3968, 5046, 268, 866, 543, 824, 5563, 269, 3163, 12909, 827, 621, 563, 763, 1007, 1353, 568, 4397, 547, 4125, 11923, 543, 7189, 945, 723, 513, 2362, 1981, 540, 24931, 23197, 5563, 982, 519, 3328, 2551, 269, 634, 1353, 786, 849, 3382, 4587, 1004, 267, 1317, 789, 616, 811, 2693, 547, 723, 5906, 4539, 540, 11763, 3676, 563, 1432, 568, 713, 6669, 454, 6195, 294, 6669, 3568, 513, 18604, 8833, 540, 29901, 14385, 1756, 536, 990, 529, 267, 519, 1757, 894, 8665, 540, 834, 321, 990, 710, 21061, 2668, 898, 729, 3957, 1310, 519, 3943, 18117, 5505, 15751, 2836, 5471, 974, 543, 6682, 4068, 2871, 518, 514, 269, 769, 1082, 2477, 267, 1519, 6576, 267, 1453, 616, 18764, 538, 1200, 538, 519, 1101, 1032, 540, 1272, 269, 3163, 2798, 856, 602, 519, 6669, 568, 834, 338, 12522, 543, 10464, 267, 855, 2484, 689, 3501, 281, 621, 11151, 909, 547, 476, 2568, 260, 540, 19505, 2665, 538, 1453, 267, 609, 513, 2647, 2039, 540, 3928, 2066, 2477, 4799, 310, 728, 2039, 540, 4027, 454, 23777, 1227, 267, 10074, 948, 519, 1560, 1020, 12046, 1996, 513, 1808, 19800, 630, 321, 22160, 610, 3644, 1040, 634, 15116, 640, 540, 7460, 294, 568, 602, 621, 4679, 519, 1560, 781, 4187, 711, 1152, 1996, 519, 1757, 894, 8665, 540, 21061, 269, 20636, 3744, 723, 3370, 513, 3126, 540, 2090, 267, 519, 1034, 1271, 3932, 540, 799, 568, 602, 519, 4550, 2389, 21310, 17533, 6669, 11151, 827, 476, 1789, 260, 540, 782, 5563, 1369, 519, 1101, 1032, 1310, 12674, 269, 901, 4806, 849, 10039, 547, 8290, 563, 763, 968, 332, 4275, 31397, 892, 4681, 540, 519, 7460, 294, 6669, 723, 1044, 22309, 267, 855, 513, 2689, 3370, 676, 14959, 538, 476, 1001, 275, 11130, 602, 519, 6669, 4389, 782, 2275, 1021, 9019, 538, 1453, 630, 6011, 1197, 267, 621, 8612, 602, 519, 1377, 540, 2139, 2963, 729, 1970, 1040, 589, 476, 1001, 277, 2689, 3370, 676, 634, 22720, 297, 729, 811, 2318, 267, 855, 11329, 547, 519, 991, 585, 1007, 12007, 1382, 563, 7712, 1287, 267, 519, 4791, 2963, 585, 7460, 294, 781, 2640, 814, 22541, 269, 25124, 626, 631, 8811, 2967, 4880, 20660, 540, 519, 2160, 540, 715, 6359, 332, 1122, 523, 6481, 4741, 4330, 519, 2360, 540, 519, 6669, 593, 12046, 269, 4340, 547, 1864, 267, 519, 7460, 294, 6669, 666, 581, 6854, 9800, 538, 1480, 2960, 585, 1896, 3275, 269, 898, 838, 2720, 711, 1152, 519, 1808, 3965, 540, 4761, 2281, 1996, 21061, 269, 12207, 3409, 602, 621, 22262, 4761, 2281, 538, 2489, 585, 513, 1279, 942, 269, 4880, 20660, 543, 1010, 9164, 1572, 713, 7613, 834, 10177, 1441, 12046, 1701, 4256, 476, 1001, 279, 19747, 1353, 1336, 7460, 294, 12674, 1223, 2149, 1996, 22887, 18050, 5835, 8611, 3644, 563, 300, 8811, 2967, 4880, 20660, 543, 1010, 26393, 693, 519, 2160, 540, 18603, 267, 5345, 13370, 657, 717, 3554, 732, 961, 657, 267, 723, 13175, 513, 1353, 538, 10255, 547, 1397, 2436, 519, 7460, 294, 6669, 6971, 519, 11841, 540, 1585, 5563, 538, 519, 11361, 269, 589, 2147, 1353, 568, 9709, 585, 519, 13814, 563, 763, 1007, 2090, 941, 2966, 1354, 519, 1007, 11452, 7153, 269, 4880, 20660, 11099, 519, 1699, 6855, 786, 948, 12260, 519, 1761, 540, 519, 7460, 294, 6669, 538, 3152, 1469, 563, 14722, 689, 519, 2160, 6481, 4741, 7780, 516, 19816, 267, 519, 2160, 540, 24332, 630, 16269, 786, 1449, 519, 7145, 540, 7460, 294, 538, 7189, 264, 543, 519, 2160, 540, 1401, 2678, 630, 16269, 786, 1449, 519, 6669, 538, 519, 11361, 264, 8678, 4880, 9996, 543, 717, 3554, 28328, 657, 563, 11900, 18944, 676, 519, 1383, 540, 4880, 9996, 267, 3744, 689, 519, 4436, 7665, 23851, 4659, 1767, 789, 1131, 2932, 741, 1382, 609, 519, 7589, 540, 1072, 4600, 543, 519, 11361, 269, 898, 786, 946, 513, 16220, 9168, 6669, 602, 814, 711, 2943, 1044, 9516, 585, 31331, 1996, 21061, 563, 292, 32642, 12551, 267, 606, 6375, 6048, 693, 519, 2160, 540, 17842, 267, 5143, 3163, 538, 513, 16555, 602, 519, 6669, 786, 4440, 711, 581, 2111, 547, 4628, 4308, 609, 519, 1007, 11452, 269, 1809, 1034, 2693, 1352, 786, 581, 2111, 547, 11574, 922, 1764, 593, 3425, 269, 634, 11285, 7074, 602, 1352, 9887, 1281, 711, 2247, 3478, 18764, 563, 28082, 676, 1888, 454, 9202, 267, 519, 3390, 540, 1533, 14261, 540, 519, 6669, 786, 581, 4956, 454, 14722, 2303, 4587, 1004, 949, 991, 3606, 25750, 454, 14483, 4808, 798, 711, 2154, 1973, 4255, 585, 16568, 17336, 268, 273, 538, 971, 22881, 454, 763, 6669, 6707, 25623, 519, 2504, 540, 12489, 543, 570, 2281, 267, 519, 3744, 1705, 711, 1265, 1022, 3978, 2427, 2360, 454, 12901, 545, 1355, 10552, 26736, 2742, 6496, 3502, 6435, 14904, 2201, 20996, 20764, 7976, 910, 1230, 7501, 2986, 6739, 24930, 454, 5522, 553, 2742, 1281, 711, 4688, 689, 11452, 593, 7344, 14910, 0, 8368, 540, 9115, 912, 21581, 281, 6468, 769, 1452, 5584, 687, 3657, 2859, 6145, 569, 1677, 22206, 518, 3245, 9839, 8376, 454, 18131, 538, 891, 22825, 616, 811, 2693, 547, 7985, 689, 2295, 2068, 454, 16449, 2324, 2021, 267, 1514, 4600, 267, 11923, 543, 10685, 6666, 4536, 616, 519, 1034, 4299, 676, 2295, 2068, 269, 10815, 1419, 982, 1866, 267, 6455, 9946, 543, 1483, 10040, 2156, 24329, 3068, 713, 1966, 563, 20124, 281, 12368, 629, 599, 2593, 1315, 454, 16449, 2324, 2021, 267, 1514, 4600, 267, 11923, 543, 10685, 6666, 4536, 616, 519, 1034, 4299, 676, 2295, 2068, 267, 2687, 547, 513, 1353, 602, 786, 581, 4843, 693, 606, 1977, 9839, 5948, 3621, 10554, 5437, 476, 1626, 268, 1240, 538, 15740, 563, 763, 1353, 19801, 811, 982, 476, 4792, 267, 1822, 2022, 5443, 641, 30167, 2021, 267, 609, 606, 3328, 2085, 540, 476, 8287, 1296, 269, 634, 4589, 6743, 693, 519, 476, 736, 1034, 1455, 23909, 543, 19040, 519, 5171, 538, 2474, 540, 9025, 1072, 267, 1519, 2188, 971, 607, 7296, 267, 2597, 267, 2168, 2534, 267, 2732, 267, 1973, 2604, 267, 8501, 543, 17509, 1973, 4006, 269, 15788, 267, 5176, 476, 1724, 260, 540, 782, 5171, 1185, 4057, 9025, 1072, 267, 543, 1896, 23909, 941, 2404, 609, 2799, 9025, 1981, 538, 2021, 563, 15253, 1563, 547, 2021, 538, 824, 22825, 912, 12892, 4600, 941, 476, 3607, 260, 811, 2693, 547, 723, 2295, 2042, 563, 268, 4825, 841, 6666, 4536, 910, 676, 476, 3451, 18336, 268, 6468, 538, 1072, 1416, 616, 476, 1626, 9077, 2523, 11923, 267, 2790, 1072, 4600, 267, 543, 1753, 2861, 15637, 269, 634, 11923, 1185, 513, 476, 1691, 260, 2362, 1981, 540, 3384, 9025, 2068, 630, 290, 13748, 1916, 763, 9803, 1981, 729, 585, 2021, 2324, 607, 1483, 10040, 2156, 24329, 543, 6455, 8069, 269, 4256, 1981, 540, 595, 13748, 729, 476, 2190, 260, 2539, 269, 1280, 5728, 2456, 910, 476, 1556, 260, 2539, 3379, 547, 2021, 538, 824, 22825, 269, 2353, 7194, 723, 1044, 14661, 585, 2085, 267, 29281, 4567, 267, 2069, 543, 5198, 563, 2108, 11847, 6974, 2510, 540, 930, 22825, 941, 693, 1164, 1981, 540, 9025, 2068, 267, 4352, 789, 2933, 5249, 538, 519, 1072, 5823, 610, 6743, 1310, 2550, 693, 1753, 269, 1656, 713, 568, 9670, 267, 1317, 891, 2021, 616, 4440, 1732, 5483, 827, 519, 1981, 2188, 585, 9025, 2068, 2223, 16261, 525, 1353, 2278, 16170, 324, 715, 686, 16331, 540, 667, 516, 343, 601, 2160, 538, 15740, 563, 6097, 547, 519, 4589, 267, 713, 1353, 5267, 602, 13567, 568, 606, 1271, 3815, 538, 2021, 781, 2295, 1072, 267, 865, 7189, 1058, 4440, 22679, 790, 827, 519, 3924, 547, 2697, 1004, 693, 1164, 1981, 585, 9025, 2068, 563, 28082, 676, 1888, 454, 13051, 1030, 2772, 3601, 540, 5283, 28853, 454, 4322, 1981, 2188, 723, 519, 16999, 2963, 3490, 269, 1358, 666, 581, 6766, 547, 2061, 2068, 454, 1607, 3095, 568, 2693, 1813, 547, 4551, 602, 2014, 10733, 2068, 269, 7216, 3744, 2907, 834, 338, 639, 4624, 257, 602, 789, 1223, 2014, 2860, 540, 519, 24647, 543, 7181, 454, 763, 6574, 5786, 538, 519, 1981, 540, 18337, 2295, 2068, 1851, 1199, 527, 2209, 454, 2710, 2758, 1656, 3057, 25070, 14840, 1676, 962, 5271, 2102, 344, 4427, 528, 990, 5589, 6817, 1215, 1677, 13363, 634, 9839, 769, 8865, 2986, 1772, 17057, 545, 9839, 8376, 454, 16498, 2534, 2337, 609, 18337, 2295, 2068, 0, 8368, 540, 9115, 912, 21581, 281, 3194, 31698, 1715, 15053, 995, 12186, 2986, 4414, 29133, 454, 10932, 2982, 1007, 5739, 2360, 540, 2699, 5779, 454, 2691, 2699, 5779, 568, 2007, 6479, 538, 519, 24026, 267, 4551, 3132, 513, 5739, 6219, 602, 8309, 547, 519, 1646, 540, 2295, 2068, 563, 20124, 281, 12368, 629, 599, 2593, 1315, 454, 2710, 4701, 543, 6484, 1235, 723, 1279, 19230, 602, 1932, 1454, 2699, 5779, 538, 519, 2732, 666, 581, 3983, 585, 2295, 1072, 269, 634, 1977, 9839, 5948, 15565, 4189, 10709, 16469, 899, 2960, 1652, 9269, 610, 3165, 1317, 789, 616, 2539, 538, 15459, 3170, 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 ]
[ 18416, 6611, 29203, 281, 744, 263, 273, 317, 301, 2020, 258, 634, 1931, 540, 519, 12673, 538, 519, 5044, 1281, 711, 2339, 563, 258, 2422, 16571, 542, 547, 4194, 713, 1966, 269, 476, 7531, 258, 538, 910, 703, 562, 454, 258, 856, 910, 1496, 1598, 6540, 3698, 1100, 290, 2945, 322, 4002, 525, 3799, 2187, 825, 1219, 25961, 4433, 889, 2187, 1038, 952, 7003, 4433, 889, 264, 285, 284, 562, 912, 2018, 2132, 1305, 8443, 11357, 7481, 1038, 2164, 815, 25961, 4433, 889, 266, 257, 271, 5602, 1038, 952, 7003, 4433, 889, 264, 2652, 476, 271, 610, 1016, 314, 6352, 4433, 889, 9984, 272, 316, 256, 6889, 272, 13426, 2018, 2164, 815, 2164, 26509, 542, 263, 3559, 704, 4433, 889, 1341, 834, 272, 27363, 1038, 2132, 2164, 454, 825, 2132, 1592, 263, 3559, 704, 2891, 27363, 2745, 3799, 334, 290, 2945, 322, 4002, 525, 263, 273, 264, 9239, 3698, 1100, 290, 2945, 322, 4002, 525, 273, 3799, 2187, 825, 1219, 25961, 4433, 889, 2187, 1038, 952, 7003, 4433, 889, 264, 285, 284, 562, 912, 2018, 2132, 1305, 8443, 11357, 7481, 1038, 2164, 271, 815, 25961, 4433, 889, 266, 257, 271, 5602, 1038, 952, 7003, 4433, 889, 264, 2652, 476, 271, 610, 1016, 314, 6352, 4433, 889, 9984, 272, 316, 256, 6889, 272, 13426, 2018, 2164, 272, 815, 25961, 4433, 889, 1341, 834, 272, 5602, 1038, 3116, 912, 2018, 2164, 272, 815, 1305, 8443, 7481, 1038, 2164, 815, 2164, 271, 26509, 542, 263, 29798, 272, 994, 13872, 1038, 2132, 2164, 454, 825, 2132, 1592, 263, 3559, 704, 2891, 27363, 2745, 3799, 334, 290, 2945, 322, 4002, 525, 273, 263, 273, 11723, 258, 476, 273, 454, 258, 476, 876, 476, 4905, 476, 1015, 630, 343, 1556, 2020, 258, 476, 274, 454, 258, 476, 1822, 476, 9826, 476, 18089, 476, 1911, 476, 6200, 630, 343, 9340, 264, 825, 692, 258, 1491, 12537, 912, 258, 672, 3403, 543, 3977, 616, 1114, 543, 3651, 519, 1267, 540, 4756, 547, 711, 513, 3403, 1016, 855, 547, 2164, 454, 258, 672, 519, 2034, 4806, 1305, 2115, 547, 581, 1039, 1927, 609, 1547, 684, 542, 476, 0, 258, 476, 9083, 273, 269, 5681, 540, 17848, 1677, 23516, 23030, 10606, 454, 258, 14168, 692, 258, 476, 11260, 275, 692, 258, 476, 14338, 692, 258, 5410, 547, 5903, 692, 258, 9523, 454, 258, 1411, 616, 2016, 519, 3597, 540, 513, 9352, 3529, 1141, 1142, 6843, 814, 513, 1871, 476, 271, 610, 476, 272, 269, 3962, 3597, 3562, 6122, 2378, 2619, 4564, 513, 9352, 1297, 4358, 609, 519, 1034, 1713, 3787, 780, 258, 1280, 1383, 267, 952, 519, 2619, 568, 476, 271, 9847, 476, 272, 9847, 476, 272, 9847, 476, 271, 9847, 476, 272, 267, 1287, 713, 1223, 2099, 476, 18733, 4905, 538, 9352, 267, 799, 568, 476, 1724, 563, 258, 1280, 782, 3762, 538, 519, 3529, 267, 2015, 519, 2338, 6719, 676, 519, 2619, 689, 519, 3597, 547, 602, 6978, 269, 17776, 519, 2040, 540, 891, 2338, 780, 258, 634, 1449, 2665, 616, 6383, 865, 602, 519, 2626, 13352, 538, 513, 476, 3953, 1532, 1080, 8870, 780, 8528, 258, 7151, 476, 272, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 2639, 258, 19243, 281, 476, 2420, 454, 258, 19247, 281, 630, 1911, 264, 1341, 630, 6200, 264, 1341, 630, 8099, 264, 1341, 630, 9340, 264, 815, 476, 275, 1341, 476, 276, 1341, 476, 277, 1341, 476, 278, 815, 476, 2420, 454, 258, 7151, 476, 273, 1384, 258, 18452, 281, 3597, 815, 1496, 271, 2639, 258, 19243, 281, 476, 271, 454, 8528, 258, 4790, 571, 6493, 1384, 258, 634, 1297, 540, 9136, 538, 519, 3529, 568, 538, 519, 2039, 1496, 272, 267, 476, 1911, 271, 14073, 258, 19219, 22183, 568, 476, 271, 610, 476, 272, 563, 692, 258, 901, 3070, 1568, 1384, 454, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 2040, 305, 2393, 2414, 8867, 2378, 4311, 267, 3597, 281, 8838, 1308, 314, 21698, 11966, 8079, 9847, 703, 1384, 1038, 1219, 25961, 263, 2017, 267, 1003, 2187, 2018, 1875, 29985, 2698, 454, 2018, 952, 711, 1225, 16000, 543, 711, 1225, 16192, 912, 3546, 1003, 24177, 284, 476, 272, 3097, 3546, 1003, 1923, 284, 1225, 22183, 454, 3546, 2698, 6834, 1003, 28329, 3546, 2132, 454, 27030, 2018, 1003, 24177, 284, 476, 272, 3097, 2018, 1003, 1923, 284, 1225, 22183, 454, 2018, 952, 1225, 16000, 912, 3546, 25961, 263, 2017, 16000, 267, 1003, 994, 2018, 952, 1225, 16192, 912, 3546, 25961, 263, 2017, 16192, 267, 1003, 994, 1038, 2698, 815, 476, 271, 454, 1038, 25961, 20172, 267, 476, 271, 994, 1038, 2132, 2698, 0, 258, 476, 280, 6924, 269, 23030, 10326, 6682, 10327, 454, 258, 10434, 692, 258, 476, 28906, 271, 692, 258, 476, 3374, 692, 258, 5410, 547, 5903, 692, 258, 9523, 454, 258, 1411, 616, 2016, 519, 3597, 540, 513, 9352, 3529, 269, 1284, 3888, 12514, 593, 519, 3529, 9136, 1141, 1142, 8254, 693, 513, 6843, 666, 6895, 922, 2385, 267, 3294, 267, 543, 922, 7525, 1453, 780, 258, 17776, 519, 5934, 1297, 540, 12514, 2877, 547, 6895, 782, 9136, 540, 519, 3529, 780, 8528, 258, 7151, 476, 272, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 271, 267, 271, 19885, 1638, 267, 271, 267, 271, 2639, 258, 19243, 281, 476, 272, 454, 258, 19247, 281, 2290, 8254, 568, 2614, 547, 6895, 782, 9136, 952, 5116, 607, 3254, 563, 258, 7151, 476, 273, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 271, 267, 271, 19885, 1638, 267, 271, 19885, 1638, 267, 271, 19885, 1638, 19885, 1638, 267, 271, 2639, 258, 19243, 281, 476, 273, 454, 258, 19247, 281, 2311, 2547, 1079, 12514, 616, 2877, 547, 6895, 782, 9136, 540, 519, 3529, 269, 634, 1657, 3239, 2982, 835, 540, 519, 4570, 19383, 540, 8254, 13307, 563, 8528, 258, 4790, 571, 6493, 1384, 258, 634, 1297, 540, 9136, 538, 519, 3529, 568, 538, 519, 2039, 1496, 272, 267, 476, 1911, 271, 14073, 258, 19219, 22183, 2652, 476, 271, 7531, 258, 901, 3070, 1568, 1384, 454, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 1295, 23173, 5028, 290, 1478, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 13872, 1038, 1948, 1533, 568, 835, 540, 912, 1038, 1948, 476, 271, 910, 1225, 568, 2907, 16913, 454, 1038, 1948, 476, 272, 910, 1225, 568, 711, 16913, 267, 855, 666, 2307, 1126, 547, 2322, 513, 8254, 454, 1038, 1948, 476, 273, 910, 1225, 781, 2385, 568, 711, 16913, 267, 543, 814, 547, 2322, 513, 8254, 454, 1038, 7711, 331, 745, 6831, 5995, 263, 14085, 994, 1038, 1219, 25961, 263, 2017, 267, 1533, 2187, 2018, 1948, 596, 2141, 723, 519, 4781, 547, 2322, 513, 1007, 8254, 454, 2018, 1655, 815, 476, 272, 454, 2018, 952, 1225, 16000, 912, 3546, 1655, 6834, 25961, 263, 2017, 16000, 267, 476, 271, 994, 2018, 952, 1225, 16192, 912, 3546, 1655, 6834, 25961, 263, 2017, 16192, 267, 476, 271, 994, 27030, 2018, 1948, 1225, 568, 2907, 16913, 454, 2018, 952, 1533, 2652, 476, 271, 912, 3546, 6148, 815, 476, 271, 454, 3546, 952, 1225, 16000, 912, 7386, 6148, 6834, 25961, 263, 2017, 16000, 267, 476, 272, 994, 3546, 952, 1225, 16192, 912, 7386, 6148, 6834, 25961, 263, 2017, 16192, 267, 476, 272, 994, 3546, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 2018, 8640, 1533, 2652, 476, 272, 912, 3546, 952, 1225, 16000, 610, 1225, 16192, 912, 7386, 952, 1225, 16000, 912, 13376, 6148, 815, 25961, 263, 2017, 16000, 267, 476, 273, 994, 13376, 952, 1225, 16192, 912, 23351, 6148, 6834, 25961, 263, 2017, 16192, 267, 476, 272, 994, 13376, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 7386, 952, 1225, 16192, 912, 13376, 6148, 815, 25961, 263, 2017, 16192, 267, 476, 273, 994, 13376, 952, 1225, 16000, 912, 23351, 6148, 6834, 25961, 263, 2017, 16000, 267, 476, 272, 994, 13376, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 2018, 8640, 1533, 2652, 476, 273, 912, 3546, 1780, 454, 27030, 2018, 2132, 1655, 28329, 1038, 2132, 25961, 20172, 267, 476, 272, 994, 0, 5035, 623, 19991, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1283, 267, 2451, 267, 5377, 267, 1318, 2187, 1038, 1582, 6745, 641, 815, 1283, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 12500, 18847, 815, 5377, 454, 1038, 1582, 16192, 815, 1318, 22562, 825, 1219, 17967, 7272, 19991, 4311, 2187, 1038, 10917, 815, 1582, 6745, 641, 3097, 1038, 1582, 6745, 641, 815, 1582, 16000, 454, 1038, 1582, 16000, 815, 1582, 12500, 18847, 454, 1038, 1582, 12500, 18847, 815, 1582, 16192, 454, 1038, 1582, 16192, 815, 10917, 22562, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 303, 19991, 568, 2715, 1345, 6745, 641, 348, 2715, 1345, 16000, 348, 2715, 1345, 12500, 18847, 348, 2715, 1345, 16192, 348, 4840, 8931, 5035, 10658, 14794, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 2073, 544, 2187, 1038, 1582, 269, 4580, 815, 1496, 454, 2018, 1496, 346, 9574, 14085, 267, 271, 16689, 2018, 1496, 346, 9574, 271, 267, 271, 16689, 2018, 1496, 271, 267, 271, 267, 271, 2639, 1038, 23378, 8931, 825, 1219, 1747, 7272, 19991, 4311, 28872, 272, 267, 328, 25814, 2187, 13872, 1038, 1780, 692, 335, 815, 623, 19991, 263, 271, 267, 271, 16427, 273, 267, 272, 994, 2745, 9638, 994, 335, 269, 8527, 622, 7272, 19991, 4590, 2745, 9638, 2020, 258, 533, 815, 623, 19991, 263, 271, 267, 271, 16427, 272, 267, 273, 2020, 3698, 2638, 318, 539, 2471, 10734, 15277, 4671, 6851, 7272, 773, 806, 16216, 272, 267, 324, 273, 2187, 825, 952, 552, 272, 610, 552, 273, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 8640, 552, 272, 1341, 552, 273, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 0, 258, 3487, 819, 6997, 1564, 692, 258, 8827, 454, 258, 589, 5569, 590, 540, 27608, 2296, 5022, 568, 2016, 269, 1284, 1616, 547, 15652, 713, 5569, 883, 607, 1082, 2694, 607, 2009, 865, 602, 1142, 4484, 5526, 538, 693, 1034, 835, 851, 267, 543, 2132, 513, 1592, 540, 9981, 8204, 519, 2450, 540, 891, 2694, 563, 7531, 258, 7151, 476, 272, 1384, 258, 18452, 281, 590, 815, 834, 629, 29582, 321, 659, 611, 1030, 1122, 1372, 6062, 329, 327, 330, 2993, 329, 4840, 258, 19243, 281, 1496, 280, 267, 278, 267, 279, 2639, 258, 19247, 912, 258, 634, 15652, 568, 834, 629, 29582, 321, 20403, 2580, 834, 3698, 1122, 1372, 2580, 834, 6062, 329, 327, 330, 2993, 329, 8487, 258, 901, 568, 513, 15652, 865, 602, 1142, 4484, 5526, 538, 693, 1034, 835, 851, 563, 258, 589, 15652, 899, 834, 629, 29582, 321, 659, 611, 1030, 1122, 1372, 2580, 834, 6062, 329, 327, 330, 2993, 329, 257, 568, 11234, 267, 1317, 621, 10943, 1080, 590, 883, 1447, 2694, 563, 692, 258, 8074, 1384, 258, 590, 786, 723, 3259, 538, 2039, 1496, 272, 267, 476, 4335, 14073, 258, 590, 786, 2874, 540, 27608, 2296, 5022, 18011, 320, 262, 547, 1412, 345, 10807, 1152, 563, 7531, 258, 901, 3070, 1568, 476, 2439, 454, 5035, 8827, 912, 825, 1219, 15652, 24248, 1564, 4311, 267, 590, 281, 1193, 264, 9847, 5903, 27776, 14158, 1038, 1293, 815, 31460, 1038, 585, 521, 538, 590, 912, 2018, 952, 521, 711, 538, 1293, 912, 3546, 1293, 314, 338, 316, 815, 476, 272, 454, 2018, 3116, 912, 3546, 1293, 314, 338, 316, 6834, 476, 272, 692, 1038, 546, 815, 31460, 1038, 20735, 815, 11713, 1038, 1376, 815, 476, 271, 454, 1038, 585, 1775, 267, 521, 538, 26246, 22829, 2187, 2018, 952, 521, 711, 538, 546, 912, 3546, 546, 314, 338, 316, 815, 476, 271, 454, 2018, 546, 314, 338, 316, 23785, 272, 454, 2018, 952, 546, 314, 338, 316, 2652, 1293, 314, 338, 14158, 3546, 1642, 546, 314, 338, 2639, 2018, 952, 7003, 5560, 264, 2652, 476, 271, 912, 3546, 20735, 6910, 9217 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10741, 909, 547, 930, 1390, 5784, 540, 519, 4478, 1858, 1354, 1187, 333, 2454, 596, 1524, 883, 519, 3786, 2666, 1985, 547, 519, 32668, 543, 28677, 4856, 836, 5211, 269, 634, 5757, 803, 32752, 998, 3504, 15027, 4224, 267, 3056, 547, 606, 5863, 10977, 8559, 513, 7008, 540, 4627, 15432, 689, 519, 3786, 563, 1607, 568, 606, 5863, 16074, 7552, 543, 1134, 4502, 3257, 607, 513, 1259, 547, 6338, 3054, 547, 519, 22880, 27726, 5898, 540, 519, 14863, 1177, 836, 338, 563, 20911, 3633, 9215, 918, 301, 8582, 454, 21920, 281, 476, 1691, 5998, 630, 27987, 994, 11742, 281, 476, 279, 3108, 630, 7021, 9519, 5227, 994, 22706, 281, 5262, 2159, 1315, 6103, 476, 275, 268, 276, 630, 3147, 1800, 547, 519, 8241, 29303, 25397, 717, 15665, 3590, 1916, 303, 1046, 281, 18200, 517, 2817, 5244, 454, 5141, 657, 652, 16011, 281, 715, 518, 3419, 320, 454, 10111, 7457, 281, 3245, 715, 518, 3419, 320, 267, 2951, 5045, 7178, 2059, 715, 518, 3419, 320, 10003, 585, 476, 1704, 14790, 2394, 596, 3914, 4077, 2917, 779, 11206, 10003, 269, 12414, 2451, 543, 3136, 2059, 713, 4155, 585, 5111, 476, 277, 14790, 2394, 596, 3914, 519, 654, 690, 654, 690, 1286, 6288, 269, 634, 13009, 2212, 568, 593, 519, 9456, 2427, 540, 519, 15790, 1046, 267, 1985, 547, 606, 1344, 1129, 563, 4415, 856, 560, 4958, 3481, 7916, 519, 18533, 540, 4906, 630, 290, 2077, 334, 1234, 328, 264, 568, 513, 7986, 543, 4971, 532, 19506, 593, 519, 856, 12921, 16630, 540, 667, 8270, 267, 3854, 2749, 540, 519, 2622, 779, 21836, 2197, 267, 7033, 528, 700, 652, 324, 630, 292, 770, 7033, 528, 1040, 29740, 676, 519, 10582, 2103, 547, 1832, 519, 15866, 7826, 2551, 6126, 267, 19482, 547, 519, 1283, 540, 519, 7823, 593, 799, 621, 6763, 568, 513, 1390, 1995, 267, 4758, 596, 513, 6177, 779, 3750, 2070, 2059, 519, 5032, 543, 936, 519, 2749, 563, 763, 3802, 6238, 693, 4262, 1377, 689, 513, 1286, 6288, 693, 595, 2077, 334, 1234, 328, 16047, 267, 5101, 540, 667, 8270, 269, 634, 9897, 547, 519, 3490, 540, 519, 3802, 616, 22510, 267, 855, 1491, 513, 1286, 267, 1810, 1405, 11878, 513, 11332, 607, 519, 9897, 666, 581, 3833, 5906, 1813, 547, 519, 3982, 3668, 540, 2312, 4155, 3652, 543, 3908, 9920, 2866, 269, 11534, 5242, 519, 1286, 6288, 267, 519, 15309, 545, 11824, 1858, 814, 513, 1906, 24181, 799, 616, 840, 2739, 585, 513, 17552, 5371, 12899, 269, 634, 11824, 568, 2442, 609, 519, 17137, 267, 855, 1810, 1405, 2503, 1932, 1082, 6329, 607, 621, 781, 1369, 513, 6870, 15922, 269, 634, 3802, 3294, 568, 606, 1045, 580, 528, 908, 25047, 18214, 267, 12297, 1540, 2059, 519, 1259, 609, 9597, 1023, 18995, 519, 1272, 540, 2441, 269, 3245, 519, 3490, 596, 18214, 1472, 476, 4335, 3268, 563, 10666, 1614, 20453, 540, 519, 1259, 909, 972, 781, 513, 1804, 16822, 30965, 11128, 1141, 2533, 616, 4371, 593, 1271, 14026, 269, 3245, 1934, 267, 621, 781, 711, 2484, 547, 519, 21895, 693, 799, 1448, 596, 3580, 1265, 4906, 7555, 593, 1283, 540, 513, 1804, 8608, 543, 3168, 856, 2509, 667, 8270, 609, 1010, 7916, 2647, 1930, 269, 634, 5784, 689, 1934, 616, 10875, 267, 607, 596, 723, 513, 4971, 532, 2070, 1318, 909, 543, 1524, 519, 27726, 23795, 543, 936, 519, 2749, 3294, 563, 296, 917, 1018, 596, 2461, 3206, 256, 901, 568, 2469, 547, 581, 827, 513, 7552, 547, 18557, 1633, 269, 4270, 267, 538, 513, 2262, 267, 1100, 256, 4014, 594, 723, 1044, 547, 18903, 13738, 538, 18557, 1633, 267, 713, 568, 827, 606, 13476, 6213, 1379, 6728, 538, 12986, 602, 779, 3710, 3330, 513, 7823, 563, 6524, 2469, 547, 700, 1633, 828, 529, 267, 594, 8910, 2760, 1044, 547, 12986, 267, 1577, 4805, 4862, 540, 11272, 13738, 269, 634, 5397, 972, 538, 1250, 6263, 23934, 1286, 729, 4101, 547, 2161, 519, 2547, 607, 602, 6640, 621, 1185, 3323, 547, 6777, 538, 519, 2296, 11068, 4133, 543, 4797, 2429, 519, 1554, 269, 4014, 1100, 24928, 547, 6117, 538, 519, 6777, 267, 621, 779, 2356, 1044, 538, 513, 476, 275, 310, 291, 610, 609, 11800, 593, 269, 32010, 519, 10545, 267, 10464, 652, 4395, 8868, 5397, 23934, 594, 1223, 1265, 998, 606, 14542, 5251, 543, 4914, 2197, 568, 606, 1995, 711, 547, 581, 14406, 267, 2523, 538, 4789, 267, 1141, 18864, 4667, 547, 581, 1031, 547, 6117, 538, 519, 6777, 543, 519, 3003, 4155, 1062, 4667, 547, 9505, 1524, 693, 519, 1101, 20726, 540, 513, 6777, 4148, 820, 563, 3519, 8019, 267, 519, 2185, 543, 513, 3368, 5662, 5397, 267, 5828, 883, 513, 5722, 5662, 3043, 5679, 22976, 11878, 543, 693, 835, 1448, 621, 729, 6777, 532, 865, 2182, 594, 1223, 18923, 1294, 856, 519, 6885, 269, 898, 729, 513, 1390, 8323, 547, 6368, 3914, 519, 15678, 1510, 2348, 1236, 1342, 539, 593, 4672, 610, 1831, 4503, 538, 519, 21730, 4400, 4133, 563, 310, 1136, 909, 519, 1985, 1554, 267, 621, 729, 5863, 547, 1294, 519, 6777, 2275, 11474, 24781, 998, 799, 594, 8910, 26968, 5944, 9141, 538, 519, 4158, 269, 1703, 941, 10239, 267, 513, 10720, 543, 513, 8748, 4884, 4904, 609, 1793, 622, 8122, 539, 8075, 269, 14033, 2421, 267, 594, 729, 5143, 972, 729, 513, 8652, 3167, 1379, 6728, 1572, 11272, 13738, 269, 1733, 12241, 519, 5251, 729, 10077, 1042, 689, 5553, 540, 1793, 622, 5599, 267, 972, 729, 1100, 1379, 6728, 547, 581, 2938, 269, 5463, 4575, 547, 979, 593, 513, 4663, 540, 519, 12357, 630, 663, 10169, 15865, 264, 1379, 6728, 267, 972, 729, 4986, 811, 982, 606, 1344, 2679, 547, 2303, 621, 11478, 269, 1717, 267, 2899, 519, 2606, 3381, 3323, 267, 621, 3459, 547, 2097, 2312, 267, 519, 3003, 1379, 6728, 729, 3710, 883, 519, 7823, 267, 711, 593, 519, 1283, 267, 6862, 593, 519, 2427, 269, 1323, 11999, 1309, 591, 333, 729, 25653, 856, 543, 519, 3003, 6728, 729, 3710, 3330, 519, 7823, 563, 13436, 547, 824, 8652, 3167, 10473, 594, 4076, 2938, 267, 713, 568, 835, 799, 1568, 676, 16089, 1216, 689, 606, 5580, 8066, 2481, 547, 3132, 5201, 538, 8445, 2053, 540, 3747, 543, 1287, 15450, 519, 1216, 1394, 909, 1282, 1055, 8445, 2053, 269, 3502, 513, 4264, 1106, 540, 1648, 267, 855, 513, 2731, 15931, 835, 269, 5410, 547, 713, 519, 1249, 602, 789, 666, 3142, 519, 1379, 6728, 18402, 2228, 538, 12964, 7643, 267, 2864, 982, 3108, 585, 513, 3044, 2030, 267, 1287, 596, 723, 835, 5863, 9028, 540, 4702, 563, 30509, 689, 519, 1202, 2033, 569, 13085, 2856, 540, 15720, 519, 1379, 6728, 538, 519, 7823, 267, 519, 824, 2825, 6213, 3344, 540, 519, 1374, 1331, 5887, 532, 519, 1216, 15081, 650, 547, 3500, 922, 3432, 267, 1354, 621, 13788, 519, 10720, 269, 901, 5849, 602, 972, 779, 1100, 7298, 3977, 540, 1216, 267, 607, 1134, 607, 7863, 519, 8699, 540, 519, 10720, 543, 519, 3165, 602, 2661, 3330, 269, 1358, 849, 3710, 513, 15993, 585, 519, 3165, 547, 979, 998, 865, 789, 666, 4734, 519, 546, 25428, 10720, 543, 2212, 1394, 25318, 547, 838, 11921, 563, 11900, 728, 519, 7823, 3294, 267, 519, 11999, 1309, 591, 333, 8075, 519, 1379, 18402, 883, 799, 519, 1216, 678, 16640, 267, 547, 8095, 519, 18434, 693, 476, 4335, 337, 10975, 543, 3132, 5201, 269, 634, 2702, 547, 6385, 6467, 593, 610, 1055, 1797, 15364, 540, 1379, 3761, 2066, 519, 5177, 563, 5804, 606, 3872, 1448, 540, 2070, 267, 713, 568, 513, 8748, 1554, 7552, 952, 596, 2461, 538, 12986, 269, 898, 779, 606, 4316, 585, 1053, 547, 1294, 875, 5647, 267, 2872, 543, 2825, 4145, 666, 782, 581, 3927, 7307, 1510, 513, 17672, 1198, 269, 2060, 513, 1379, 6433, 3138, 4040, 538, 5245, 267, 621, 1522, 581, 4502, 2679, 513, 7008, 540, 891, 543, 513, 6046, 2030, 585, 1434, 2268, 547, 1683, 2973, 543, 6325, 2959, 540, 1648, 269, 0, 338, 11220, 1347, 568, 606, 8870, 1826, 602, 568, 4130, 982, 703, 799, 1797, 621, 666, 1405, 3180, 607, 2462, 543, 1507, 2418, 607, 703, 666, 269, 9896, 1347, 568, 2141, 835, 31632, 1247, 703, 568, 2356, 476, 275, 25466, 269, 1403, 596, 1616, 547, 917, 519, 3193, 543, 1295, 2418, 540, 9896, 1347, 596, 666, 946, 31901, 15311, 333, 10179, 545, 318, 3916, 1080, 563, 842, 1292, 630, 994, 560, 323, 15311, 322, 719, 24177, 834, 10946, 3065, 1871, 540, 9896, 1347, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 2381, 3065, 1871, 540, 9896, 1347, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 10946, 3065, 1871, 540, 703, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 2381, 3065, 1871, 540, 703, 281, 27029, 9616, 602, 594, 1185, 547, 5641, 519, 9896, 1347, 547, 606, 703, 1354, 8228, 621, 547, 2057, 602, 621, 781, 9102, 607, 513, 1915, 3090, 563, 288, 4484, 568, 2141, 6740, 607, 513, 1297, 269, 898, 781, 875, 596, 946, 602, 1297, 602, 2306, 519, 3017, 269, 28611, 596, 1131, 946, 1347, 3079, 540, 9896, 10420, 547, 4558, 5022, 1317, 602, 781, 519, 1826, 602, 519, 3044, 5399, 3252, 2503, 563, 296, 1174, 602, 267, 2625, 601, 332, 568, 594, 18085, 4952, 9896, 1347, 4433, 264, 1175, 1317, 594, 18085, 4952, 2942, 607, 857, 328, 1871, 1862, 296, 993, 711, 2386, 952, 594, 6045, 519, 1966, 1134, 267, 1250, 7117, 7117, 553, 3274, 2073, 952, 594, 7500, 609, 1347, 1826, 4756, 538, 1250, 1982, 267, 875, 798, 594, 6430, 952, 547, 1118, 621, 1347, 610, 9896, 1347, 1826, 1862, 2889, 12378, 568, 4542, 1657, 267, 1317, 594, 3274, 1810, 1405, 896, 560, 333, 611, 1018, 568, 1035, 583, 331, 3315, 8345, 538, 972, 10756, 2889, 10964, 332, 568, 594, 18085, 4952, 9896, 1347, 4433, 264, 1175, 1317, 594, 18085, 4952, 2942, 607, 857, 328, 1871, 454, 338, 11220, 10420, 543, 5667, 11220, 10420, 616, 3274, 9896, 543, 5667, 11220, 2418, 267, 1175, 899, 703, 338, 799, 666, 849, 581, 9896, 610, 5667, 11220, 267, 4849, 789, 616, 6740, 538, 476, 279, 11353, 269, 1358, 798, 711, 723, 547, 2099, 606, 32412, 2862, 1871, 269, 634, 3903, 540, 513, 9896, 610, 5667, 11220, 1347, 18627, 606, 703, 1500, 950, 519, 2450, 540, 4859, 568, 2565, 269, 6787, 9896, 610, 5667, 11220, 5673, 593, 2436, 519, 1871, 666, 2099, 513, 2942, 1297, 563, 763, 1347, 1826, 568, 3982, 689, 1312, 9896, 1347, 543, 5667, 11220, 1347, 269, 8307, 519, 1347, 1826, 1058, 2479, 581, 1031, 585, 8066, 3197, 910, 519, 6388, 949, 8359, 585, 621, 547, 581, 2901, 9896, 610, 5667, 11220, 267, 543, 596, 1058, 711, 7048, 593, 835, 610, 519, 824, 269, 769, 782, 2665, 2705, 267, 789, 782, 4558, 2338, 269, 16992, 616, 2338, 269, 0, 5804, 476, 6942, 277, 267, 519, 1032, 519, 2817, 13477, 540, 12333, 28473, 11833, 338, 729, 8547, 267, 2394, 519, 1459, 1554, 267, 3388, 602, 814, 7018, 538, 519, 2136, 2276, 814, 1044, 10630, 538, 543, 1472, 519, 3014, 540, 13836, 563, 5319, 2809, 891, 5697, 1977, 769, 11789, 685, 642, 793, 22863, 267, 2110, 14501, 593, 1713, 19320, 1063, 2101, 1977, 2984, 543, 2101, 21597, 13836, 563, 5415, 966, 793, 22863, 28527, 17652, 910, 6744, 7982, 10705, 2336, 301, 622, 968, 303, 2465, 1284, 324, 892, 20182, 454, 305, 18432, 7130, 16175, 11478, 538, 13836, 689, 519, 4571, 268, 6642, 271, 779, 2394, 519, 20352, 3459, 547, 2490, 538, 476, 3707, 278, 950, 10793, 773, 20484, 540, 519, 27201, 667, 617, 7970, 2968, 519, 1101, 1268, 540, 2681, 547, 2408, 538, 519, 2101, 682, 8046, 563, 5522, 16558, 3395, 909, 538, 519, 5045, 1282, 519, 13343, 18844, 5736, 5185, 24245, 10168, 538, 741, 554, 2210, 12495, 269, 715, 622, 968, 303, 2465, 1284, 324, 892, 20182, 729, 835, 540, 873, 269, 18004, 538, 476, 3707, 271, 267, 543, 3395, 909, 538, 853, 269, 22642, 7921, 8419, 267, 646, 4810, 17478, 543, 7130, 20250, 1169, 1554, 269, 1879, 715, 622, 9896, 547, 1404, 3318, 13836, 609, 519, 15829, 667, 617, 7970, 4873, 476, 4198, 280, 519, 2319, 729, 6213, 547, 519, 10168, 715, 622, 1185, 1044, 16271, 547, 3395, 909, 543, 729, 6297, 547, 3651, 1864, 547, 1404, 593, 6887, 1759, 538, 1875, 5498, 326, 27935, 5634, 6122, 6558, 10034, 1282, 1010, 1101, 1906, 1296, 538, 605, 3440, 563, 301, 622, 20182, 3181, 3176, 607, 513, 2101, 682, 16331, 518, 609, 519, 667, 617, 7970, 593, 4989, 476, 280, 267, 476, 3422, 274, 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, 22090, 6362, 596, 2476, 593, 20605, 2361, 15143, 2066, 17407, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 518, 18209, 1773, 10415, 10369, 454, 288, 518, 18209, 1773, 10415, 10369, 1635, 12443, 1067, 7392, 630, 28139, 564, 1877, 750, 8208, 821, 630, 303, 7417, 298, 1070, 2717, 2988, 1156, 2643, 590, 5285, 728, 630, 303, 4916, 1070, 12443, 21666, 622, 630, 15425, 24270, 1635, 589, 7878, 7392, 630, 300, 26090, 589, 7878, 267, 15585, 776, 589, 7878, 267, 4937, 28645, 1070, 1635, 13335, 1299, 1635, 16323, 910, 6820, 10369, 29362, 476, 1708, 274, 547, 476, 10711, 274, 454, 26046, 540, 17224, 18209, 1773, 10415, 10369, 15147, 532, 476, 1789, 266, 18831, 26451, 5811, 540, 2475, 267, 4516, 267, 5177, 267, 5125, 267, 5333, 267, 20918, 923, 267, 717, 6717, 2477, 267, 3567, 267, 9705, 543, 1082, 811, 454, 288, 518, 18209, 1773, 10415, 10369, 31326, 630, 1708, 274, 547, 476, 10711, 274, 994, 22091, 21505, 693, 513, 11931, 595, 8980, 305, 540, 476, 277, 9077, 519, 2518, 23825, 15229, 2344, 568, 6059, 547, 2333, 689, 513, 29925, 540, 2475, 259, 476, 1428, 5479, 538, 476, 1708, 274, 547, 2475, 259, 476, 2767, 5479, 676, 519, 1439, 540, 476, 10711, 274, 563, 28139, 564, 1877, 750, 8208, 821, 630, 303, 7417, 298, 264, 12249, 568, 606, 5140, 12990, 585, 8407, 971, 607, 5374, 543, 11956, 1813, 547, 922, 9058, 4222, 543, 6551, 7190, 269, 26597, 8484, 3334, 971, 607, 11896, 16295, 543, 6802, 24039, 616, 1500, 540, 4874, 564, 1877, 750, 8208, 821, 269, 4595, 713, 1570, 568, 11259, 547, 29230, 3974, 543, 666, 2844, 1164, 5982, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 9699, 29042, 31157, 998, 30730, 781, 4112, 334, 1080, 692, 296, 269, 4985, 692, 763, 1353, 540, 9699, 10723, 5931, 2488, 5813, 883, 519, 3638, 2686, 6561, 543, 3909, 4978, 540, 3127, 269, 9521, 1395, 6139, 2065, 10764, 971, 607, 8567, 610, 5771, 267, 799, 723, 13737, 13411, 2835, 267, 18420, 814, 513, 5318, 4015, 540, 30920, 1634, 607, 1744, 770, 6652, 269, 1452, 5931, 616, 19040, 883, 1079, 1292, 2516, 910, 29447, 583, 328, 630, 1492, 968, 515, 731, 892, 5931, 264, 543, 3911, 761, 328, 630, 1492, 968, 8145, 14801, 892, 5931, 1040, 901, 1576, 786, 5490, 4514, 883, 891, 6688, 267, 5373, 2390, 2984, 540, 519, 11537, 25976, 7083, 30730, 779, 7518, 1080, 1336, 5097, 538, 3911, 761, 328, 5931, 269, 3414, 713, 1935, 267, 596, 786, 2744, 513, 4396, 5748, 538, 26762, 1950, 2093, 4843, 538, 1585, 9699, 10723, 5931, 543, 741, 10083, 2221, 780, 2862, 269, 634, 10417, 540, 29447, 583, 328, 692, 306, 337, 583, 328, 4016, 547, 1346, 9699, 30920, 2808, 10143, 11240, 725, 4607, 676, 3504, 681, 880, 529, 630, 338, 1137, 264, 945, 1185, 25189, 5289, 22729, 543, 15398, 9637, 269, 1358, 941, 2111, 547, 5873, 610, 13498, 891, 18408, 1282, 2620, 9066, 610, 7663, 611, 6062, 269, 9050, 3119, 5931, 1118, 909, 519, 29447, 583, 328, 24402, 281, 519, 15519, 1386, 320, 267, 962, 1690, 20940, 320, 267, 6341, 8491, 320, 267, 543, 19158, 541, 341, 8491, 320, 269, 3958, 267, 972, 2291, 476, 10482, 2101, 543, 5634, 772, 20725, 6758, 1107, 10952, 1521, 2478, 8108, 851, 540, 519, 29447, 583, 328, 2245, 269, 4595, 789, 616, 2808, 7442, 19653, 515, 5984, 630, 2254, 30363, 676, 3425, 1070, 1100, 1367, 610, 1895, 6585, 6392, 936, 873, 282, 3079, 267, 789, 4196, 607, 15851, 2959, 540, 7326, 269, 769, 4207, 2486, 267, 5640, 8415, 891, 5931, 547, 2263, 4798, 540, 546, 327, 12609, 267, 737, 12609, 267, 544, 758, 3333, 320, 267, 543, 2909, 327, 2006, 269, 1280, 3236, 267, 4210, 9564, 966, 633, 16988, 7701, 5219, 547, 519, 28174, 553, 14916, 538, 1010, 18531, 5009, 8471, 10343, 543, 10103, 1851, 3309, 4529, 543, 5132, 338, 780, 7656, 269, 5548, 1324, 883, 3911, 761, 328, 692, 10712, 761, 328, 30920, 17663, 15422, 10752, 1759, 593, 9821, 267, 2853, 267, 1514, 8155, 267, 543, 2123, 2833, 269, 2755, 1447, 26060, 982, 29447, 583, 328, 5931, 267, 789, 1869, 3180, 1713, 3310, 5935, 6848, 2932, 543, 5837, 2418, 269, 6206, 23658, 20975, 896, 3911, 761, 328, 1331, 898, 8811, 14505, 630, 7290, 5566, 6386, 1070, 8830, 11446, 630, 534, 2615, 8941, 827, 9699, 24587, 1070, 20144, 1301, 1662, 770, 6652, 630, 18721, 9479, 1070, 543, 570, 656, 6652, 630, 525, 582, 20143, 12738, 1040, 3776, 1445, 3788, 10704, 1472, 30730, 781, 7518, 1080, 6537, 5631, 689, 519, 3134, 923, 10067, 629, 9618, 1092, 543, 4498, 643, 4461, 320, 267, 9286, 607, 898, 8811, 14505, 780, 4353, 269, 1401, 2364, 908, 30730, 781, 4112, 334, 1080, 692, 298, 16194, 3534, 267, 1419, 13269, 607, 519, 20032, 540, 2648, 267, 1404, 6888, 267, 543, 32660, 267, 5526, 30326, 538, 1312, 519, 10067, 629, 9618, 1092, 543, 4498, 643, 4461, 320, 269, 3571, 1272, 1650, 3091, 3407, 4245, 3823, 7881, 267, 13919, 267, 20174, 267, 5718, 267, 543, 4640, 269, 1284, 4927, 4983, 930, 8037, 14501, 5473, 30730, 267, 4098, 609, 1010, 6689, 929, 3471, 543, 4027, 540, 12418, 31459, 3056, 547, 1010, 11358, 1909, 1443, 2358, 1488, 329, 10044, 1282, 519, 918, 15843, 802, 2867, 571, 2782, 538, 519, 13225, 698, 822, 611, 717, 7534, 780, 309, 269, 19974, 2398, 3471, 1299, 10466, 540, 595, 4490, 4173, 1091, 692, 2026, 513, 1126, 267, 30730, 17820, 9058, 5759, 1256, 950, 2502, 538, 20027, 3765, 27815, 269, 2290, 4583, 12558, 22281, 338, 875, 646, 588, 1961, 7423, 5921, 585, 2146, 3892, 267, 29544, 18497, 4687, 543, 7862, 269, 6271, 9661, 6257, 1864, 17666, 6778, 29583, 731, 7315, 547, 2149, 27142, 689, 8731, 1370, 658, 22856, 2366, 676, 1473, 571, 267, 8204, 1219, 4800, 1996, 24407, 8128, 543, 16126, 593, 6418, 4222, 269, 6270, 2984, 18836, 1898, 21644, 899, 10100, 267, 21548, 267, 8296, 267, 543, 23274, 780, 9654, 269, 24547, 558, 2329, 1299, 15613, 281, 30730, 693, 918, 15843, 802, 2867, 571, 692, 2691, 17455, 6072, 19036, 1488, 329, 10044, 5185, 5683, 21140, 7282, 7589, 538, 519, 918, 15843, 802, 2867, 571, 2782, 267, 30730, 11461, 1864, 32375, 3842, 519, 13225, 698, 822, 611, 717, 7534, 267, 10771, 1582, 16531, 267, 1033, 16670, 267, 10279, 267, 543, 21704, 547, 2696, 269, 1306, 513, 2797, 2054, 626, 267, 30730, 8480, 539, 1312, 5011, 31205, 267, 4180, 9444, 6591, 15490, 5413, 2943, 6038, 4543, 5150, 11802, 585, 5126, 269, 1635, 7421, 891, 13685, 267, 2413, 3988, 1451, 2565, 3206, 1983, 267, 20320, 2553, 267, 543, 3375, 6194, 2994, 10858, 547, 3318, 11678, 543, 4948, 2591, 780, 23997, 269, 20710, 3101, 28673, 543, 7073, 640, 692, 9213, 267, 1896, 4589, 6451, 2609, 689, 2757, 9699, 561, 648, 883, 11174, 5708, 267, 1818, 891, 989, 6804, 8941, 3015, 547, 7820, 5481, 269, 6201, 1331, 12891, 2917, 15681, 529, 262, 834, 763, 26626, 540, 30730, 2437, 14181, 3873, 12653, 1399, 781, 834, 763, 18903, 540, 519, 23452, 13527, 2437, 543, 932, 527, 571, 14465, 518, 329, 2465, 6555, 752, 541, 27376, 781, 834, 10468, 11253, 281, 7861, 800, 14576, 1701, 1452, 1427, 32478, 2226, 4295, 3741, 11251, 1369, 3312, 6589, 1247, 15268, 1893, 267, 2511, 267, 543, 6881, 2409, 4143, 547, 4207, 9458, 269, 9747, 267, 23440, 609, 9699, 10723, 5931, 18327, 16832, 585, 19825, 16082, 1459, 538, 5368, 614, 2181, 1540, 8747, 780, 309, 7656, 269, 10390, 692, 8139, 9699, 10723, 5931, 3340, 30230, 4771, 5817, 2035, 267, 3140, 8658, 267, 5339, 3457, 267, 543, 4612, 894, 10850, 6964, 2429, 27453, 269, 29760, 593, 30730, 781, 7518, 1080, 6087, 721, 547, 6330, 6946, 6106, 540, 2495, 7915, 538, 519, 6626, 9135, 540, 9699, 13299, 3927, 269, 5015, 267, 16565, 15334, 538, 16208, 891, 5931, 10597, 938, 7071, 540, 14624, 3812, 2066, 2923, 5867, 23695, 547, 8795, 2085, 9832, 267, 3226, 1453, 781, 3332, 269, 11086, 267, 4974, 9699, 10723, 5931, 27862, 938, 8223, 540, 2518, 2686, 4763, 543, 11942, 8994, 2463, 543, 10892, 1063, 2950, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 8114, 29042, 31157, 454, 30022, 25103, 1369, 519, 2985, 454, 295, 8114, 10723, 5931, 616, 519, 2019, 6058, 748, 3332, 1644, 547, 1114, 5389, 543, 2528, 538, 18420, 269, 18420, 1281, 711, 723, 513, 2582, 10723, 1257, 899, 824, 10764, 269, 2368, 540, 519, 1271, 9699, 10723, 5931, 1331, 28174, 553, 267, 772, 20725, 6758, 267, 8830, 3570, 267, 898, 8811, 14505, 267, 13225, 698, 822, 611, 717, 7534, 543, 3397, 24252, 269, 18420, 568, 606, 4095, 4984, 4553, 543, 1316, 2213, 676, 1082, 1004, 1158, 2647, 563, 295, 8114, 5931, 616, 5258, 883, 1079, 6688, 29447, 583, 328, 543, 3911, 761, 328, 269, 29447, 583, 328, 568, 1018, 568, 4862, 543, 3911, 761, 328, 568, 1018, 568, 2854, 269, 29447, 583, 328, 2882, 28174, 553, 543, 772, 20725, 6758, 1247, 3911, 761, 328, 2882, 898, 8811, 14505, 899, 10548, 27011, 10067, 629, 9618, 1092, 1519, 13225, 698, 822, 611, 717, 7534, 269, 29447, 583, 328, 568, 2808, 607, 519, 1034, 22265, 543, 1271, 3504, 9699, 5931, 607, 621, 568, 5156, 602, 621, 568, 10299, 30375, 689, 835, 1268, 547, 1776, 676, 521, 1137, 543, 568, 711, 2854, 676, 1022, 1480, 7919, 563, 1103, 513, 1259, 621, 666, 581, 1767, 602, 521, 337, 583, 328, 616, 1945, 4862, 2047, 689, 519, 10971, 676, 519, 521, 1137, 543, 519, 521, 1137, 723, 5293, 621, 30375, 689, 835, 5108, 547, 606, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 16241, 1315, 9699, 1315, 30730, 781, 4112, 334, 1080, 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, 5149, 476, 279, 281, 9608, 29972, 4260, 7958, 910, 4980, 22899, 22627, 538, 24656, 692, 7072, 912, 1103, 519, 7706, 540, 12202, 267, 649, 1419, 1589, 540, 14637, 2371, 543, 8384, 873, 1332, 883, 7524, 267, 4829, 995, 7103, 269, 1717, 267, 723, 596, 2479, 11432, 1229, 519, 2856, 540, 14237, 4296, 3564, 713, 3618, 569, 6228, 286, 769, 713, 1770, 267, 649, 5490, 883, 519, 1523, 540, 2123, 12202, 15322, 607, 789, 9305, 547, 18163, 1272, 267, 4481, 3695, 875, 3347, 949, 22036, 543, 11457, 538, 13140, 269, 1284, 2721, 6667, 689, 13400, 15102, 543, 1921, 891, 2093, 609, 4207, 4555, 543, 1382, 780, 4089, 476, 272, 281, 4197, 17716, 538, 661, 1181, 640, 692, 9824, 580, 542, 543, 17035, 1404, 1713, 5107, 538, 5935, 2043, 262, 4978, 827, 2669, 543, 1310, 5158, 269, 8567, 3091, 2189, 5380, 593, 1018, 19179, 1080, 21071, 1739, 741, 2168, 27757, 269, 2290, 7986, 6249, 568, 519, 27402, 540, 14375, 7554, 5103, 519, 9000, 540, 5432, 3889, 899, 3885, 543, 2950, 269, 1215, 1522, 971, 4296, 8915, 2933, 538, 13140, 286, 1677, 2263, 713, 1523, 2417, 267, 1577, 781, 4983, 31694, 476, 278, 281, 280, 267, 799, 6257, 513, 3309, 11018, 540, 2043, 8087, 676, 5132, 780, 285, 29038, 1358, 616, 689, 1169, 14316, 267, 689, 782, 6082, 267, 543, 4654, 1862, 1432, 2306, 721, 1114, 1100, 3476, 17337, 3010, 1607, 8574, 8711, 519, 2956, 540, 4763, 543, 9322, 1851, 2696, 781, 1453, 269, 4014, 2686, 21441, 2611, 7805, 267, 789, 24044, 547, 1711, 15523, 269, 5502, 267, 891, 3604, 3565, 547, 513, 3638, 13795, 540, 2833, 543, 9163, 602, 27862, 519, 7104, 2898, 269, 1306, 22254 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29061, 12412, 1769, 6383, 689, 519, 1094, 653, 10921, 676, 1210, 519, 9168, 12408, 1505, 269, 3973, 267, 519, 15423, 2039, 543, 519, 8445, 540, 519, 561, 29061, 12412, 941, 6027, 2687, 547, 519, 11098, 540, 6751, 7246, 3625, 269, 4746, 267, 519, 10956, 1464, 540, 519, 11123, 306, 17016, 729, 11117, 269, 2311, 2063, 267, 519, 6027, 3448, 14556, 885, 540, 519, 561, 29061, 12412, 2687, 547, 519, 11098, 540, 6751, 7246, 3625, 941, 3379, 609, 519, 1871, 7229, 1210, 519, 4542, 540, 19681, 6975, 5174, 17621, 563, 1607, 1382, 729, 6462, 676, 2817, 17437, 681, 1299, 667, 5358, 998, 519, 2817, 3194, 7690, 540, 9705, 630, 24520, 293, 264, 14102, 676, 519, 12080, 540, 3163, 267, 23559, 543, 2104, 12020, 630, 1001, 275, 300, 273, 289, 273, 288, 3445, 274, 7277, 272, 264, 543, 713, 1382, 729, 6462, 676, 9978, 3163, 3194, 5358, 998, 519, 2817, 3194, 7690, 540, 9705, 630, 24520, 293, 264, 14102, 676, 519, 12080, 540, 3163, 267, 23559, 543, 2104, 12020, 630, 1001, 275, 305, 272, 288, 273, 288, 273, 288, 31239, 271, 2918, 736, 543, 476, 1001, 274, 305, 272, 288, 272, 288, 11793, 13932, 278, 1040, 0, 23178, 6833, 686, 26436, 454, 2691, 1004, 5873, 519, 2262, 4984, 267, 930, 804, 600, 909, 610, 5612, 1205, 17872, 543, 8825, 936, 1018, 789, 1745, 4984, 568, 270, 1889, 753, 547, 873, 610, 1018, 789, 2024, 741, 1378, 5132, 547, 581, 269, 594, 723, 547, 16153, 594, 4769, 1406, 1616, 547, 1491, 713, 1362, 1317, 540, 1250, 1378, 12886, 543, 4250, 540, 1373, 840, 3737, 547, 855, 607, 938, 1257, 2829, 998, 513, 10839, 7150, 676, 9410, 13162, 3751, 267, 12789, 968, 16631, 27180, 282, 4984, 3705, 1206, 269, 3163, 3947, 812, 1702, 799, 568, 1379, 282, 4984, 3947, 812, 7326, 799, 568, 1852, 6100, 634, 1353, 540, 4984, 2636, 721, 547, 1174, 1141, 938, 2413, 1554, 2245, 6508, 689, 543, 1174, 945, 649, 616, 607, 513, 2486, 269, 1677, 4628, 1174, 2413, 1554, 2528, 649, 1058, 1413, 883, 1018, 3909, 2245, 2161, 779, 267, 1018, 621, 1281, 267, 543, 875, 621, 1418, 3278, 563, 9199, 1288, 281, 1548, 621, 3081, 454, 9824, 580, 542, 568, 1945, 602, 814, 1044, 513, 851, 540, 812, 585, 5481, 607, 2484, 1394, 607, 621, 666, 581, 6592, 269, 898, 568, 513, 851, 540, 513, 1268, 779, 3661, 1949, 602, 14439, 543, 26342, 602, 649, 616, 1934, 1317, 540, 513, 2362, 543, 1989, 831, 1379, 982, 938, 30441, 269, 15215, 2636, 812, 547, 5581, 1018, 568, 1434, 543, 1018, 568, 3983, 267, 621, 2285, 721, 513, 2631, 3354, 543, 513, 5748, 593, 799, 547, 1332, 543, 29343, 2390, 269, 634, 10752, 540, 519, 1292, 6908, 10764, 971, 513, 8567, 729, 5293, 1524, 998, 2984, 543, 1114, 28005, 976, 602, 723, 1044, 2322, 538, 547, 513, 1257, 3898, 543, 998, 519, 1296, 814, 1044, 12261, 689, 922, 12355, 1257, 547, 3751, 6276, 547, 1082, 824, 8747, 602, 2413, 812, 1223, 1174, 609, 2370, 547, 1100, 7664, 563, 1103, 4529, 971, 607, 609, 519, 7111, 4892, 543, 11316, 2103, 519, 10752, 540, 741, 5065, 5132, 338, 941, 5293, 1524, 998, 2984, 267, 23929, 267, 7499, 4082, 269, 4634, 547, 713, 1554, 519, 11316, 2103, 1869, 554, 21343, 7544, 799, 568, 513, 1106, 540, 741, 3909, 4082, 543, 6561, 269, 1452, 23929, 2995, 2984, 827, 741, 2696, 610, 10971, 267, 547, 519, 16080, 3187, 621, 568, 1175, 513, 4190, 1106, 540, 1148, 543, 547, 873, 621, 568, 513, 1259, 547, 1831, 835, 609, 2696, 563, 9199, 1288, 281, 1548, 621, 1281, 454, 9824, 580, 542, 666, 723, 513, 3532, 1860, 936, 513, 1268, 1272, 543, 1259, 540, 1272, 269, 6270, 607, 11755, 538, 1082, 10764, 713, 568, 519, 835, 957, 602, 2636, 513, 1268, 519, 2702, 547, 2911, 547, 741, 2696, 543, 2769, 741, 7064, 267, 2307, 585, 5583, 267, 547, 1118, 13668, 267, 610, 1175, 547, 2911, 547, 1864, 17017, 14121, 1335, 269, 634, 7332, 5132, 3340, 922, 21071, 547, 7281, 2947, 6101, 19001, 513, 1554, 269, 674, 1690, 337, 568, 741, 840, 1673, 11921, 11755, 602, 568, 2016, 538, 1121, 27320, 540, 741, 2696, 630, 1001, 273, 1040, 20144, 7795, 337, 568, 741, 11755, 602, 568, 7281, 539, 693, 29869, 282, 799, 568, 547, 3314, 2696, 543, 547, 2307, 585, 5583, 630, 1001, 273, 1040, 1306, 337, 741, 12784, 11755, 267, 713, 568, 7281, 539, 1282, 519, 1034, 11112, 942, 607, 1004, 1439, 741, 1554, 513, 1906, 3764, 568, 1305, 11735, 547, 1586, 3314, 2696, 543, 519, 1989, 831, 2495, 540, 741, 2729, 630, 1001, 273, 1040, 7395, 327, 1026, 568, 7281, 539, 693, 23863, 267, 713, 568, 1776, 11755, 540, 519, 1121, 27320, 540, 2696, 630, 1001, 273, 1040, 1772, 3873, 568, 7281, 539, 538, 519, 10543, 607, 789, 979, 547, 5127, 547, 3314, 2696, 779, 4527, 267, 2307, 585, 5583, 267, 2307, 585, 1010, 23502, 267, 543, 3343, 1010, 19807, 630, 1001, 273, 1040, 27302, 585, 12356, 568, 513, 1259, 540, 1272, 543, 621, 568, 693, 519, 2295, 540, 1018, 945, 789, 616, 543, 875, 789, 9305, 547, 741, 2696, 563, 9199, 1288, 281, 1215, 621, 1418, 3278, 454, 22117, 11429, 568, 513, 1455, 8142, 1851, 1082, 10764, 269, 6270, 607, 609, 1082, 4168, 5132, 338, 543, 13039, 519, 30798, 568, 1291, 676, 513, 2250, 528, 1287, 596, 723, 707, 2507, 0, 12648, 513, 4090, 547, 1589, 540, 707, 9998, 3965, 267, 519, 1101, 3364, 602, 5949, 538, 707, 1272, 602, 596, 666, 3314, 269, 594, 798, 711, 917, 596, 267, 855, 594, 2907, 917, 1945, 1713, 827, 602, 3965, 269, 898, 729, 14156, 9901, 538, 930, 1259, 269, 898, 729, 513, 3965, 4904, 609, 1025, 1170, 610, 2620, 28194, 269, 898, 949, 581, 32049, 610, 596, 949, 723, 1044, 9663, 1190, 269, 594, 917, 713, 1317, 594, 917, 827, 519, 2634, 543, 3965, 269, 3776, 2634, 8637, 1344, 602, 621, 9060, 547, 581, 1713, 267, 543, 2178, 4664, 616, 835, 1259, 547, 5365, 4644, 269, 1924, 1018, 1281, 713, 1611, 585, 7855, 888, 3080, 1259, 547, 948, 2327, 602, 1453, 2965, 3314, 519, 1543, 568, 547, 1847, 2250, 3274, 8720, 4441, 543, 1589, 827, 2870, 2833, 585, 1453, 16135, 538, 873, 269, 18320, 1419, 649, 616, 6998, 6000, 1946, 1053, 1810, 1406, 917, 1945, 269, 1284, 917, 649, 4988, 621, 269, 1284, 666, 1294, 621, 593, 938, 3992, 4566, 282, 621, 779, 1044, 13761, 1055, 540, 519, 5750, 269, 1809, 789, 1869, 1810, 1406, 1205, 621, 269, 634, 1966, 949, 581, 789, 4769, 1406, 1995, 1454, 563, 20091, 513, 8574, 267, 6217, 1945, 1373, 1224, 267, 1373, 7898, 3293, 547, 610, 11423, 538, 513, 4976, 616, 3335, 711, 1360, 14156, 9901, 563, 1103, 8888, 513, 3992, 267, 9811, 267, 621, 568, 11613, 1271, 547, 723, 519, 4441, 538, 2247, 267, 855, 621, 568, 1175, 607, 1271, 547, 1589, 827, 519, 3992, 689, 519, 5133, 540, 519, 1126, 269, 4024, 1352, 581, 9599, 543, 7722, 267, 610, 786, 621, 581, 1175, 899, 3388, 3116, 602, 4523, 286, 6496, 519, 3992, 1491, 883, 2272, 1945, 1808, 827, 519, 1453, 538, 519, 4055, 267, 971, 607, 741, 4690, 267, 1945, 602, 814, 2047, 4299, 741, 2729, 610, 606, 3390, 602, 789, 723, 1044, 6158, 827, 286, 1772, 519, 3992, 519, 1482, 835, 596, 4076, 2141, 2944, 267, 7488, 540, 519, 1053, 267, 1032, 1310, 1032, 267, 610, 6148, 621, 3357, 1318, 689, 519, 6437, 1433, 609, 1100, 12381, 286, 898, 568, 2653, 547, 1294, 875, 519, 4267, 547, 519, 2055, 1657, 1291, 547, 3833, 1114, 2833, 585, 519, 1053, 563, 763, 1985, 942, 596, 2461, 2324, 593, 707, 3992, 1544, 267, 979, 3564, 1519, 519, 4441, 543, 581, 9237, 609, 3054, 827, 1018, 519, 1053, 616, 2469, 547, 1995, 269, 1403, 602, 1995, 786, 711, 2693, 1291, 547, 513, 3965, 602, 568, 6854, 1279, 3856, 267, 2119, 1945, 3116, 3079, 269, 14755, 267, 519, 811, 7722, 707, 1053, 616, 519, 811, 1187, 596, 3580, 723, 607, 513, 4116, 1932, 256, 0, 4467, 19397, 12031, 607, 1373, 513, 1826, 610, 1826, 540, 9836, 960, 267, 922, 11984, 1055, 741, 6054, 454, 763, 12031, 676, 1797, 540, 513, 12377, 568, 513, 2189, 2186, 540, 4791, 960, 267, 799, 786, 581, 513, 6041, 2404, 609, 519, 1505, 540, 2564, 1382, 5339, 1568, 267, 2688, 27787, 676, 799, 4791, 9345, 568, 6444, 607, 513, 5650, 540, 3621, 2208, 540, 5168, 865, 602, 607, 519, 1646, 540, 2564, 2418, 23429, 519, 2257, 602, 568, 1360, 563, 30547, 543, 2832, 540, 1603, 513, 12031, 454, 21132, 1888, 568, 1062, 540, 2564, 3741, 602, 10018, 519, 8647, 540, 2564, 5872, 4909, 2010, 540, 1702, 267, 602, 2306, 621, 2009, 547, 1174, 519, 3119, 3252, 540, 2029, 267, 971, 607, 585, 1383, 6609, 267, 6609, 267, 9472, 267, 31633, 543, 1062, 26494, 540, 9259, 543, 5013, 540, 4641, 563, 1607, 2186, 540, 513, 960, 267, 1312, 519, 3312, 2175, 585, 2564, 1382, 267, 607, 1134, 607, 922, 1576, 602, 568, 3003, 519, 6364, 5833, 693, 602, 267, 616, 6592, 269, 898, 786, 711, 3274, 4766, 519, 9836, 5013, 267, 855, 2488, 513, 3102, 2079, 267, 799, 3398, 2406, 9356, 1312, 2596, 2564, 543, 2189, 2010, 540, 2564, 1702, 267, 519, 26117, 540, 799, 666, 581, 4625, 20582, 538, 1142, 3236, 540, 519, 3498, 563, 288, 12031, 538, 519, 1062, 540, 2257, 15824, 513, 28730, 1599, 267, 602, 568, 267, 621, 568, 5423, 585, 519, 3483, 540, 1857, 8878, 543, 13844, 513, 10196, 610, 4081, 4110, 7429, 824, 3621, 1568, 269, 5221, 540, 519, 2298, 540, 12031, 519, 5856, 568, 24565, 267, 1175, 875, 4625, 8272, 549, 1042, 543, 6086, 7007, 519, 2175, 3769, 972, 514, 267, 8753, 543, 4388, 267, 741, 4791, 3209, 1399, 543, 4052, 2956, 563, 763, 9103, 1275, 540, 713, 2164, 9715, 538, 971, 960, 5267, 519, 2671, 3823, 519, 12031, 547, 2257, 267, 543, 865, 2982, 519, 4110, 540, 922, 4791, 20340, 267, 543, 1034, 11932, 519, 12588, 547, 14350, 1685, 513, 4791, 3406, 543, 4194, 1808, 9836, 2152, 563, 10497, 775, 3823, 519, 12031, 543, 922, 1880, 4052, 1871, 454, 288, 1189, 532, 540, 3173, 543, 3872, 5232, 568, 835, 540, 17003, 602, 568, 1271, 519, 4367, 540, 6469, 2029, 267, 3091, 14304, 741, 1533, 4567, 543, 13075, 4567, 540, 922, 3401, 269, 10318, 1456, 2436, 610, 711, 547, 8366, 513, 2564, 610, 3872, 1377, 547, 513, 2816, 11134, 568, 513, 1129, 540, 6284, 540, 741, 1983, 1317, 540, 17761, 2967, 328, 538, 1840, 547, 4791, 2146, 563, 5194, 1271, 3017, 540, 713, 12031, 1055, 741, 4791, 1568, 630, 21955, 585, 519, 9836, 543, 2930, 1867, 264, 568, 519, 1249, 602, 9836, 1344, 1336, 538, 922, 2366, 950, 596, 1413, 693, 519, 1082, 2347, 1106, 269, 15742, 569, 267, 1175, 1318, 1934, 519, 1292, 2798, 2404, 609, 4093, 4061, 519, 3259, 540, 2564, 29622, 616, 4330, 693, 3259, 267, 519, 4640, 540, 7900, 1382, 693, 3259, 267, 519, 1483, 1686, 2404, 609, 519, 2208, 540, 519, 9259, 602, 616, 6594, 2143, 563, 763, 1264, 28467, 2404, 609, 1344, 950, 596, 1413, 693, 519, 12031, 568, 8272, 549, 1042, 883, 519, 26837, 4192, 1249, 602, 7396, 1934, 568, 2016, 513, 3226, 2143, 23610, 1570, 267, 799, 1331, 912, 268, 1469, 676, 1469, 24134, 2676, 268, 2647, 32751, 687, 602, 616, 3140, 19320, 2676, 268, 519, 4093, 540, 9836, 3406, 563, 5445, 5963, 616, 4330, 538, 519, 1082, 11455, 950, 621, 2501, 547, 4791, 23440, 609, 519, 3337, 563, 763, 1344, 3823, 519, 12031, 1915, 3278, 519, 5169, 1275, 543, 23141, 540, 713, 1344, 602, 568, 1657, 269, 634, 5748, 585, 713, 568, 513, 10416, 6216, 1007, 1587, 267, 799, 1331, 513, 6609, 540, 519, 5767, 5013, 267, 9259, 543, 9086, 540, 2470, 543, 2486, 267, 538, 1840, 547, 31633, 540, 5892, 1634, 5107, 1055, 741, 6009, 610, 538, 606, 2460, 602, 568, 4625, 1114, 563, 4415, 14621, 547, 519, 2596, 4162, 540, 2029, 267, 519, 12031, 6799, 6216, 1007, 2093, 267, 6436, 543, 5013, 883, 4791, 2516, 269, 901, 1543, 540, 891, 960, 9356, 519, 9759, 3823, 519, 12136, 267, 519, 4806, 538, 4351, 1145, 267, 519, 2407, 2698, 1369, 519, 1587, 267, 519, 9703, 883, 519, 5007, 269, 5062, 323, 537, 6549, 779, 1523, 1934, 8308, 9356, 519, 3510, 3510, 538, 2029, 543, 14687, 2509, 519, 3056, 4287, 540, 2564, 1702, 269, 8307, 896, 971, 2175, 267, 713, 10206, 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, 3046, 665, 4802, 545, 1949, 269, 15681, 639, 589, 476, 5325, 281, 2568, 276, 1700, 277, 2764, 454, 305, 690, 601, 329, 808, 267, 2725, 1231, 27346, 523, 631, 267, 12928, 583, 16210, 681, 630, 1001, 273, 264, 6820, 8337, 896, 2025, 543, 1007, 7653, 1210, 7379, 6717, 2916, 8417, 2039, 9193, 269, 14844, 29725, 7827, 476, 273, 281, 27886, 1700, 26562, 454, 19913, 738, 345, 20336, 267, 32368, 518, 667, 267, 18548, 691, 700, 293, 630, 1960, 279, 264, 634, 1198, 540, 1804, 8397, 2095, 593, 1970, 7400, 28882, 2497, 543, 4720, 538, 4571, 26245, 3363, 7814, 2158, 269, 3933, 16661, 4860, 476, 14695, 281, 12293, 278, 1700, 9692, 272, 454, 19913, 342, 1512, 345, 595, 267, 918, 7238, 961, 1676, 268, 3891, 1188, 623, 267, 631, 13616, 661, 313, 267, 645, 637, 577, 667, 301, 267, 966, 573, 1446, 623, 267, 8187, 631, 267, 5576, 7564, 337, 595, 630, 1220, 280, 264, 3525, 2454, 3864, 5162, 7088, 9271, 538, 1699, 543, 2104, 2916, 269, 29725, 7827, 476, 6200, 281, 4366, 276, 1700, 276, 1691, 454, 4537, 777, 10098, 10790, 267, 32368, 518, 667, 630, 1960, 271, 264, 674, 1258, 1206, 267, 15191, 12535, 267, 543, 519, 21050, 18108, 269, 769, 281, 13053, 595, 310, 267, 4591, 641, 664, 523, 661, 302, 630, 2644, 264, 6987, 7806, 7211, 20676, 2158, 267, 519, 661, 20891, 26054, 26408, 18189, 4320, 269, 2549, 25561, 565, 17502, 267, 11785, 267, 6032, 476, 15757, 1700, 4489, 454, 306, 614, 331, 589, 267, 590, 1197, 6359, 985, 595, 267, 4144, 329, 330, 14259, 670, 267, 670, 10270, 548, 3455, 654, 267, 8709, 6196, 523, 4011, 724, 717, 297, 267, 8709, 3954, 7935, 324, 651, 631, 267, 26990, 619, 717, 267, 8709, 3954, 15049, 330, 645, 267, 8709, 10557, 17703, 523, 623, 297, 267, 8709, 20653, 628, 8576, 623, 630, 1220, 279, 264, 1879, 666, 649, 2503, 5393, 1164, 2627, 5210, 286, 2983, 19398, 1763, 32731, 476, 3374, 281, 1691, 454, 1320, 1941, 23145, 1111, 7131, 267, 670, 657, 9469, 645, 297, 267, 5062, 4504, 344, 516, 19294, 630, 1960, 274, 264, 5565, 26336, 540, 3046, 665, 4802, 545, 2914, 1511, 1272, 268, 12860, 7180, 269, 1627, 808, 20858, 25561, 565, 17502, 476, 15686, 281, 1704, 1700, 4649, 454, 308, 322, 3250, 7236, 700, 310, 267, 32368, 518, 667, 267, 5696, 650, 918, 293, 267, 25169, 8863, 630, 2735, 276, 264, 634, 7022, 779, 1554, 7814, 821, 540, 476, 1240, 1700, 866, 5988, 476, 3192, 280, 281, 3310, 540, 25318, 512, 893, 29208, 543, 2404, 21050, 18108, 24208, 593, 4028, 7814, 14003, 269, 3933, 16661, 4860, 476, 13647, 281, 280, 7830, 1700, 280, 6434, 454, 7079, 5548, 6577, 589, 630, 2735, 280, 264, 2201, 519, 29947, 543, 11423, 540, 7059, 7814, 2158, 676, 1019, 629, 1738, 8022, 269, 25561, 565, 2311, 21573, 4284, 476, 6078, 281, 14096, 1700, 13970, 454, 7079, 3954, 15049, 330, 645, 297, 297, 300, 267, 966, 3438, 2692, 623, 267, 5617, 10937, 1513, 8028, 300, 543, 5975, 1206, 31650, 630, 1220, 271, 264, 589, 14389, 12727, 22356, 15418, 540, 519, 661, 6938, 2412, 2627, 10325, 282, 10566, 300, 310, 293, 15306, 300, 655, 334, 476, 27768, 269, 5291, 2517, 4178, 269, 1815, 332, 342, 325, 269, 842, 9706, 3016, 725, 15828, 3869, 270, 1815, 21504, 725, 9706, 4206, 14121, 332, 270, 9826, 268, 4968, 14121, 332, 27768, 15005, 454, 7079, 966, 340, 675, 333, 667, 303, 1696, 620, 630, 1001, 272, 264, 634, 11347, 5834, 11444, 281, 606, 7650, 269, 29725, 7827, 476, 11820, 281, 276, 1700, 4029, 454, 310, 1716, 2993, 670, 267, 667, 597, 1066, 590, 267, 6931, 9528, 10790, 267, 2098, 650, 580, 631, 630, 1220, 273, 264, 13552, 673, 3344, 540, 519, 1272, 4783, 540, 519, 5162, 7088, 2048, 299, 1054, 541, 685, 630, 2190, 1700, 2918, 5412, 476, 1960, 280, 1040, 1627, 808, 20858, 25561, 565, 17502, 476, 12553, 281, 28147, 1700, 275, 3066, 454, 313, 16852, 962, 267, 1715, 749, 11555, 630, 1960, 279, 264, 589, 1160, 12723, 23990, 585, 7720, 626, 675, 12071, 343, 525, 689, 27321, 23117, 269, 3933, 16661, 4860, 476, 14695, 281, 278, 1839, 454, 12552, 979, 547, 6682, 1408, 590, 1197, 6359, 985, 585, 7900, 519, 2203, 8255, 609, 10566, 7232, 14390, 543, 2022, 3491, 22422, 519, 1239, 543, 547, 22189, 3798, 523, 585, 9691, 2847, 2358, 713, 1957, 269, 634, 4589, 1131, 849, 899, 547, 9684, 519, 2696, 323, 731, 3047, 7070, 4578, 543, 6176, 7896, 4741, 585, 3246, 519, 631, 2207, 6938, 556, 534, 4519, 1239, 563, 16978, 3055, 24045, 1570, 454, 19350, 568, 519, 3095, 547, 519, 5907, 24045, 1570, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 289, 320, 1846, 523, 267, 631, 1421, 12794, 1513, 2742, 267, 681, 12282, 1421, 11709, 5548, 6577, 267, 589, 12282, 269, 1696, 620, 269, 27275, 4201, 4379, 15420, 538, 2104, 5375, 2342, 609, 513, 15911, 9533, 7909, 269, 29725, 667, 2106, 476, 3393, 267, 476, 280, 5392, 1700, 280, 5038, 630, 1001, 276, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 19740, 11025, 268, 26522, 268, 22446, 280, 268, 279, 454, 268, 8693, 1689, 454, 268, 23427, 7814, 2158, 454, 268, 6987, 7806, 7211, 5912, 454, 268, 24953, 694, 2424, 0, 10214, 1498, 3348, 529, 568, 711, 513, 5758, 267, 513, 2875, 1869, 1058, 1331, 513, 5758, 540, 519, 3312, 1257, 269, 898, 568, 2565, 547, 2057, 3877, 269, 589, 5758, 270, 629, 5724, 1058, 19582, 1100, 811, 982, 835, 5037, 269, 1879, 2324, 593, 707, 3348, 529, 7440, 267, 3314, 827, 519, 9355, 267, 1118, 621, 6654, 1018, 596, 2119, 547, 6655, 1210, 2241, 1893, 543, 1557, 2497, 269, 5675, 513, 8865, 5530, 5811, 1923, 12891, 5112, 5675, 4741, 5675, 513, 8865, 5530, 5811, 589, 2013, 1353, 2079, 3340, 596, 547, 8495, 513, 1870, 1966, 267, 4983, 519, 4244, 3435, 267, 543, 15974, 519, 1034, 2500, 3070, 1210, 5885, 2963, 269, 3194, 20929, 281, 4985, 547, 3194, 281, 11879, 17352, 5675, 513, 11879, 5623, 630, 2704, 569, 5459, 4787, 2940, 267, 634, 5675, 10418, 267, 772, 540, 17842, 693, 25753, 28386, 264, 634, 3883, 5623, 610, 9137, 7600, 1664, 630, 300, 1173, 15756, 1160, 551, 518, 267, 5675, 8081, 267, 2160, 540, 17842, 264, 11879, 17352, 540, 4750, 15080, 630, 15463, 6975, 595, 719, 1206, 267, 2160, 540, 22598, 264, 5675, 513, 11879, 5623, 630, 763, 5675, 10418, 267, 10348, 781, 2160, 264, 12834, 1299, 11879, 15863, 910, 3733, 22967, 20459, 619, 2593, 12834, 1299, 11879, 15863, 769, 707, 3105, 23531, 594, 1576, 267, 596, 949, 723, 1044, 2838, 547, 2347, 513, 12834, 543, 16200, 15863, 4828, 267, 6998, 596, 547, 17412, 543, 4431, 547, 519, 1603, 540, 1866, 267, 1210, 2110, 1806, 543, 23278, 4925, 689, 938, 707, 1378, 2729, 547, 1489, 707, 6114, 563, 1692, 547, 3503, 513, 11879, 5811, 540, 513, 10374, 9452, 1923, 14271, 7716, 454, 1692, 547, 3503, 513, 3883, 7797, 281, 5153, 8386, 28157, 5675, 6651, 1358, 616, 811, 7294, 10467, 982, 1164, 1153, 4574, 269, 1215, 547, 2328, 513, 1433, 1867, 2852, 1377, 286, 634, 3268, 538, 1603, 713, 1826, 540, 7084, 585, 2852, 616, 2965, 519, 1482, 607, 950, 2870, 513, 1957, 585, 1164, 1153, 269, 1809, 2852, 7400, 4574, 2154, 602, 596, 1058, 2328, 513, 1433, 5758, 543, 1683, 2565, 2079, 610, 6268, 540, 519, 3267, 1215, 547, 3503, 513, 22414, 5811, 1215, 547, 3503, 513, 22414, 5811, 10801, 707, 4081, 4876, 267, 596, 3513, 581, 4280, 547, 2328, 4574, 538, 799, 596, 5635, 543, 4334, 1079, 1919, 281, 1079, 5931, 267, 1079, 6436, 267, 1079, 3140, 5515, 267, 1079, 3621, 3157, 267, 543, 865, 593, 269, 4635, 513, 11660, 4750, 9137, 547, 3503, 513, 11879, 5623, 3267, 5675, 513, 2565, 2689, 540, 513, 4760, 2376, 666, 948, 547, 2087, 707, 1382, 1983, 269, 1635, 12570, 519, 960, 540, 1866, 267, 596, 1020, 1983, 607, 513, 2565, 5467, 543, 1831, 5432, 609, 519, 2010, 540, 6268, 7355, 602, 786, 581, 4294, 547, 1382, 538, 707, 19509, 15505, 543, 3976, 707, 1378, 1382, 563, 2304, 15845, 2861, 7797, 24439, 513, 11879, 21261, 281, 16340, 569, 6340, 267, 972, 616, 1079, 2010, 540, 1603, 281, 6609, 543, 4661, 269, 769, 1603, 606, 2963, 2861, 1867, 267, 596, 616, 10503, 707, 3406, 585, 519, 2963, 543, 1818, 606, 4661, 602, 5012, 547, 519, 16252, 4433, 264, 596, 1118, 538, 707, 3932, 563, 3086, 267, 513, 2565, 5758, 568, 1454, 899, 513, 2689, 281, 596, 2285, 513, 5758, 609, 930, 31886, 593, 32330, 2798, 269, 15394, 835, 540, 519, 2609, 2337, 547, 3715, 519, 6249, 269, 1215, 547, 3503, 513, 11879, 4828, 281, 20895, 1862, 1923, 8382, 4537, 1046, 2593, 910, 5675, 11879, 1603, 786, 2154, 519, 5856, 547, 9691, 2708, 519, 1557, 2243, 267, 607, 1134, 607, 454, 1692, 547, 3503, 513, 28414, 5811, 4828, 630, 25456, 609, 20895, 994, 1692, 547, 3503, 513, 11879, 5811, 4828, 2443, 29216, 32487, 269, 4467, 2052, 1405, 4137, 856, 875, 547, 2328, 513, 2565, 2079, 1557, 286, 1284, 616, 1934, 547, 948, 596, 856, 256, 6875, 930, 4388, 689, 4966, 543, 1831, 606, 1557, 4487, 269, 476, 275, 14168, 18467, 547, 3503, 513, 11879, 5811, 630, 5976, 24436, 994, 1692, 547, 3503, 513, 11879, 5811, 4828, 910, 3905, 268, 22967, 2593, 454, 21980, 3894, 585, 5675, 513, 8865, 5530, 5811, 269, 589, 2013, 1353, 2079, 3340, 596, 547, 8495, 513, 1870, 1966, 267, 4983, 519, 4244, 3435, 267, 543, 15974, 519, 1034, 2500, 3070, 1210, 5885, 2963, 269, 7300, 654, 6020, 16249, 589, 595, 6020, 22310, 11555, 26177, 910, 808, 290, 308, 5245, 547, 1174, 519, 2565, 16555, 602, 5205, 269, 634, 5758, 1058, 581, 1547, 6662, 543, 1058, 711, 1331, 1022, 2123, 7664, 610, 4901, 269, 769, 513, 1382, 1759, 2376, 267, 9034, 1047, 1142, 3296, 540, 519, 2376, 269, 634, 3483, 540, 519, 16472, 568, 547, 2769, 707, 21520, 543, 8292, 827, 519, 1603, 596, 616, 17265, 269, 9137, 5623, 6201, 1923, 14288, 20055, 14492, 5623, 532, 606, 2376, 568, 711, 607, 2653, 607, 621, 4992, 281, 621, 3340, 513, 2565, 2247, 543, 3257, 930, 3063, 1382, 269, 6744, 856, 938, 2376, 2689, 5439, 547, 2744, 513, 1732, 1620, 540, 875, 547, 2689, 4930, 3054, 269, 1215, 547, 3503, 589, 11879, 2398, 2946, 30241, 2659, 7905, 4024, 8550, 1280, 1326, 1215, 547, 3503, 589, 11879, 2398, 2946, 30241, 2659, 7905, 4024, 8550, 1280, 1326, 2904, 476, 275, 267, 476, 1001, 278, 25849, 906, 2073, 5675, 19375, 17713, 7288, 589, 2565, 929, 2946, 30241, 568, 513, 1826, 540, 4081, 1603, 1141, 596, 17412, 1776, 4062, 540, 1257, 267, 922, 1292, 2093, 543, 7440, 267, 538, 1880, 267, 547, 1683, 5813, 883, 922, 2278, 781, 5098, 4586, 16240, 13229, 12834, 543, 15863, 10749, 269, 634, 12834, 281, 589, 5758, 568, 513, 13801, 22950, 19189, 540, 782, 519, 1292, 2093, 538, 606, 1557, 269, 898, 524, 2572, 519, 2278, 543, 519, 2140, 630, 17141, 538, 519, 1101, 4845, 5148, 621, 3568, 519, 1557, 781, 5098, 543, 5885, 2093, 282, 621, 949, 946, 1463, 19722, 540, 3196, 995, 610, 13801, 6898, 540, 519, 2278, 781, 2093, 282, 621, 786, 10691, 2356, 13712, 519, 2278, 781, 1806, 610, 5885, 3267, 27910, 24687, 281, 7083, 540, 519, 4469, 625, 281, 1215, 547, 3503, 16520, 5811, 1215, 547, 3503, 16520, 5811, 634, 16520, 4828, 281, 589, 5153, 8386, 28157, 6651, 269, 1879, 596, 1224, 585, 12257, 267, 707, 1152, 3804, 568, 18399, 269, 1411, 1522, 1265, 3054, 2542, 547, 1205, 9575, 909, 538, 606, 3078, 1650, 267, 547, 1451, 827, 606, 4277, 942, 610, 1747, 267, 610, 1175, 547, 1780, 942, 269, 476, 279, 11879, 18467, 1677, 13724, 2659, 1763, 2541, 910, 585, 15816, 2593, 4924, 476, 6021, 267, 476, 1001, 277, 5788, 5675, 513, 3532, 759, 636, 2946, 814, 2760, 1044, 2653, 269, 1809, 538, 2221, 781, 2228, 267, 5985, 543, 10509, 12454, 7694, 5251, 267, 621, 781, 2523, 4101, 269, 2334, 781, 1946, 621, 781, 2565, 547, 1451, 875, 547, 3267, 5675, 513, 2565, 813, 26150, 910, 15845, 2861, 5959, 2259, 3267, 0, 2237, 606, 1401, 1842, 7480, 4828, 910, 6201, 1299, 11762, 1923, 5384, 275, 16240, 901, 1900, 8386, 9912, 3391, 593, 16878, 1603, 2882, 16878, 1557, 1806, 267, 1557, 14592, 267, 1888, 2093, 267, 543, 4388, 269, 1401, 1842, 7480, 10749, 12262, 8830, 16746, 5675, 6997, 10705, 2053, 267, 1053, 616, 2838, 547, 2328, 16878, 3594, 609, 2370, 610, 1100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24235, 269, 898, 779, 942, 547, 1376, 2679, 707, 8878, 269, 0, 763, 11335, 2732, 666, 6175, 1981, 540, 782, 2275, 1021, 543, 9025, 9019, 538, 2550, 609, 10894, 6794, 267, 2687, 547, 1382, 3370, 538, 4144, 2896, 1108, 543, 5450, 20326, 6794, 563, 763, 11335, 2732, 267, 3989, 607, 513, 2732, 3638, 538, 5388, 267, 5613, 267, 3165, 267, 9274, 267, 22053, 267, 543, 14462, 3282, 267, 814, 1044, 3254, 547, 581, 2404, 609, 6454, 538, 7378, 4187, 538, 2550, 609, 8377, 269, 3958, 267, 621, 568, 6225, 538, 3119, 6604, 540, 19473, 4592, 13406, 5328, 9025, 2068, 630, 3008, 290, 13748, 1040, 1306, 891, 22074, 14626, 728, 538, 1346, 609, 10894, 6794, 630, 18404, 306, 1070, 3173, 6322, 547, 8495, 519, 2360, 540, 519, 11335, 2732, 15984, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 2550, 609, 5450, 306, 269, 3958, 267, 3173, 11117, 519, 4745, 2360, 540, 519, 11335, 2732, 267, 25161, 2623, 267, 543, 4965, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 1004, 609, 5450, 306, 563, 288, 17053, 20165, 1353, 729, 5342, 1210, 1239, 689, 634, 2817, 2657, 543, 12594, 22410, 11752, 630, 26822, 3198, 2464, 264, 689, 476, 1220, 278, 547, 476, 1001, 279, 267, 799, 568, 11347, 540, 519, 1977, 2551, 269, 5450, 306, 729, 6353, 2687, 547, 519, 4139, 12128, 18966, 563, 3849, 11447, 547, 11335, 2732, 729, 7229, 1210, 519, 4244, 11335, 2732, 4994, 630, 320, 300, 3633, 5148, 2949, 703, 1389, 540, 5613, 267, 5388, 267, 9274, 267, 3165, 267, 2699, 543, 9268, 5779, 267, 5223, 540, 1395, 10494, 18260, 547, 15459, 3170, 267, 543, 4568, 1543, 941, 12290, 547, 5173, 15984, 269, 634, 513, 300, 3633, 6060, 267, 10834, 875, 5702, 513, 1268, 740, 22363, 547, 519, 2732, 729, 26987, 609, 513, 2039, 540, 476, 271, 547, 476, 280, 630, 10964, 578, 11667, 267, 513, 300, 3633, 8464, 540, 476, 271, 547, 476, 274, 282, 11667, 267, 513, 300, 3633, 6060, 540, 476, 275, 282, 1657, 11667, 267, 513, 300, 3633, 8464, 547, 476, 276, 547, 476, 280, 1040, 634, 6820, 8447, 11314, 7726, 32666, 630, 294, 5183, 304, 264, 729, 8246, 585, 5171, 547, 1867, 741, 2168, 2534, 282, 519, 2168, 1072, 18102, 630, 15771, 304, 268, 280, 264, 729, 2016, 547, 2708, 585, 19591, 2589, 267, 15951, 538, 30883, 3796, 593, 513, 4336, 540, 476, 272, 547, 476, 2767, 563, 288, 2698, 540, 476, 279, 1789, 272, 5396, 941, 3769, 538, 519, 3803, 2079, 267, 609, 513, 11667, 1246, 5346, 942, 540, 476, 277, 269, 274, 1296, 269, 19893, 609, 606, 1657, 11667, 513, 8469, 6060, 941, 4587, 267, 1185, 513, 3648, 4130, 22765, 18592, 267, 543, 1185, 2362, 1164, 29213, 9067, 29952, 8501, 2157, 269, 3958, 267, 741, 11326, 941, 2539, 538, 5779, 4616, 543, 2362, 538, 5388, 267, 5613, 267, 2898, 9274, 267, 10808, 543, 16872, 269, 589, 2539, 6871, 540, 19591, 2589, 941, 849, 1336, 538, 713, 1895, 563, 290, 2135, 9695, 2079, 585, 782, 2275, 1021, 543, 9025, 9019, 538, 5450, 306, 5171, 1336, 602, 11667, 543, 1657, 11667, 513, 300, 3633, 6060, 267, 2168, 2534, 267, 2126, 585, 13119, 267, 543, 2126, 585, 3987, 941, 782, 3648, 2404, 609, 513, 2539, 1981, 540, 782, 2275, 1021, 9019, 269, 12870, 267, 7296, 267, 543, 25161, 2623, 941, 782, 2404, 609, 513, 2362, 1981, 540, 585, 782, 2275, 1021, 9019, 563, 1805, 7806, 4328, 5171, 2687, 547, 513, 300, 3633, 6060, 543, 2168, 2623, 267, 5171, 609, 513, 2630, 11667, 513, 300, 3633, 6060, 609, 25161, 2623, 1185, 519, 5207, 1981, 540, 782, 2275, 1021, 9019, 630, 327, 1794, 731, 5223, 1496, 16281, 3910, 476, 273, 269, 3393, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 3445, 268, 274, 269, 1704, 282, 623, 284, 269, 876, 1040, 3143, 3017, 538, 15679, 729, 1336, 1063, 2516, 602, 941, 20060, 539, 23358, 1369, 782, 512, 1068, 3796, 540, 513, 300, 3633, 8464, 269, 15706, 609, 513, 1970, 513, 300, 3633, 6060, 945, 941, 25161, 1185, 519, 5207, 1981, 540, 9025, 9019, 630, 16281, 267, 476, 273, 269, 11011, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6507, 268, 275, 269, 8064, 282, 623, 815, 269, 876, 1040, 589, 2539, 18985, 6060, 729, 1336, 547, 581, 606, 4830, 1981, 3815, 585, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 2767, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 876, 268, 272, 269, 2568, 282, 623, 284, 269, 4962, 1070, 11744, 513, 1164, 7779, 11335, 2732, 949, 22887, 10663, 782, 2275, 1021, 9019, 538, 5450, 779, 2550, 1510, 25161, 2623, 563, 8802, 1833, 2079, 585, 782, 2275, 1021, 543, 9025, 9019, 538, 1114, 8192, 5049, 609, 543, 1510, 4965, 1336, 602, 2550, 609, 513, 2539, 11439, 2732, 6060, 1510, 4965, 1185, 606, 2799, 15679, 585, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 2767, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6860, 268, 272, 269, 4649, 282, 623, 284, 269, 6349, 264, 3379, 609, 2043, 609, 513, 2362, 18985, 6060, 1510, 4965, 267, 1129, 4328, 602, 513, 2539, 7779, 11335, 2732, 538, 1346, 1510, 4965, 4679, 782, 2275, 1021, 9019, 269, 6684, 267, 1346, 609, 4965, 609, 2539, 11439, 8464, 1185, 519, 5207, 1981, 540, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 9032, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 3393, 268, 272, 269, 29483, 282, 623, 815, 269, 876, 1916, 2750, 600, 1456, 3334, 540, 519, 11335, 2732, 543, 741, 9295, 547, 782, 2275, 1021, 543, 9025, 9019, 267, 4189, 811, 5388, 267, 22053, 267, 10808, 267, 543, 3536, 609, 513, 1164, 1395, 10494, 18260, 9761, 3679, 547, 15459, 9761, 3679, 5223, 729, 2404, 609, 513, 2539, 782, 2275, 1021, 9019, 267, 1310, 14577, 585, 2085, 267, 3023, 267, 5198, 267, 2069, 267, 7296, 267, 543, 9025, 2068, 269, 589, 2362, 10448, 6981, 729, 1336, 547, 581, 3648, 2404, 609, 513, 2539, 9025, 9019, 607, 1134, 563, 21918, 14591, 540, 519, 1353, 1331, 519, 4015, 540, 23656, 919, 689, 19760, 3198, 2464, 26830, 267, 538, 799, 930, 4632, 616, 7508, 543, 666, 1291, 547, 513, 5786, 540, 519, 3769, 2551, 269, 3958, 267, 607, 8192, 1239, 729, 6394, 676, 18102, 267, 972, 949, 723, 1044, 27753, 1063, 8192, 1239, 1063, 5171, 543, 19760, 3198, 2464, 5967, 619, 563, 2108, 2507, 14683, 7779, 610, 9793, 7779, 11335, 2732, 1223, 22887, 10663, 267, 1256, 9258, 519, 8801, 2360, 540, 25161, 2623, 543, 4965, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 5171, 609, 10742, 2223, 519, 1353, 4589, 5206, 563, 293, 534, 670, 267, 15651, 962, 267, 11412, 2098, 267, 1696, 620, 269, 11335, 2732, 24506, 782, 2275, 1021, 543, 9025, 9019, 585, 2550, 609, 10894, 6794, 269, 4144, 12185, 8585, 629, 590, 785, 269, 15618, 2228, 2904, 476, 2537, 267, 476, 1708, 274, 269, 8222, 281, 1015, 269, 14093, 277, 4882, 9873, 7176, 268, 271, 2537, 268, 18089, 7367, 268, 278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 15610, 15178, 7650, 563, 268, 1715, 8050, 5291, 2517, 21745, 1388, 7456, 756, 269, 548, 14683, 12975, 14121, 7434, 270, 3286, 2305, 270, 2908, 4944, 664, 13045, 268, 634, 9085, 540, 3807, 2305, 1788, 267, 6236, 875, 8050, 20582, 2921, 7111, 1977, 2244, 543, 1818, 2112, 563, 268, 715, 2975, 3198, 631, 8008, 15121, 308, 288, 267, 519, 3312, 2473, 9654, 11416, 2871, 611, 2728, 701, 21485, 338, 15457, 1431, 1650, 5291, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1220, 278, 1015, 13136, 275, 2537, 2764, 270, 4178, 269, 5793, 1663, 701, 2593, 6230, 343, 14672, 4618, 3887, 11258, 454, 268, 2296, 8144, 540, 519, 1650, 540, 519, 7910, 543, 20844, 17630, 563, 268, 18112, 4302, 267, 6424, 269, 834, 289, 691, 565, 558, 2946, 632, 15255, 16629, 553, 281, 589, 16684, 20895, 540, 3571, 5020, 543, 8534, 257, 5291, 2517, 4178, 7456, 2444, 553, 553, 3820, 27651, 21867, 454, 268, 20098, 16629, 553, 267, 1634, 607, 519, 4347, 2658, 540, 519, 12075, 267, 729, 513, 2178, 5639, 10912, 585, 606, 1439, 547, 5053, 5208, 538, 3870, 540, 267, 607, 674, 2001, 17630, 3081, 538, 519, 4670, 267, 840, 2286, 676, 1383, 563, 268, 3776, 15248, 540, 2871, 611, 2728, 701, 5291, 2517, 4178, 4732, 534, 551, 320, 3820, 270, 842, 549, 11258, 454, 268, 1323, 1383, 540, 4207, 20174, 547, 519, 7826, 12624, 31001, 563, 268, 634, 10671, 518, 574, 1304, 334, 630, 14681, 271, 264, 5291, 2517, 22852, 6155, 1157, 8657, 12975, 270, 260, 278, 292, 4011, 2471, 270, 4910, 1545, 7304, 3225, 518, 574, 1304, 334, 21867, 454, 268, 589, 21001, 24229, 15178, 5650, 21494, 569, 25282, 676, 519, 5053, 267, 713, 3561, 267, 17116, 12638, 543, 8474, 543, 14053, 31302, 19169, 543, 14336, 4800, 267, 729, 547, 581, 1224, 547, 4095, 2516, 593, 1101, 3346, 269, 589, 13497, 29695, 1383, 540, 875, 519, 5053, 5701, 519, 12075, 563, 268, 12142, 20844, 17630, 281, 589, 7844, 540, 9966, 1006, 5291, 2517, 4178, 4732, 534, 551, 320, 3820, 270, 9857, 663, 773, 2998, 11258, 454, 268, 1323, 1383, 540, 20174, 547, 519, 1101, 6805, 23920, 267, 519, 4095, 547, 7247, 519, 7910, 540, 2871, 611, 2728, 701, 7902, 563, 268, 590, 16184, 619, 267, 623, 269, 834, 4462, 548, 4770, 10369, 17086, 281, 634, 4317, 8889, 20480, 540, 11633, 9534, 1701, 1133, 1161, 31772, 540, 1715, 3162, 12986, 4521, 4750, 476, 3066, 269, 272, 630, 1220, 277, 1040, 5291, 2517, 4178, 18502, 755, 2993, 328, 12975, 28898, 270, 879, 10768, 712, 11594, 270, 7419, 14684, 299, 297, 270, 1220, 277, 270, 277, 11258, 454, 268, 590, 16184, 619, 6941, 29724, 2000, 28515, 1143, 543, 875, 621, 5540, 2518, 6990, 269, 9282, 1010, 8100, 616, 3335, 538, 6935, 547, 8241, 6214, 267, 519, 5467, 666, 2744, 606, 1620, 540, 683, 565, 28515, 1143, 9789, 2804, 3609, 602, 5337, 1243, 519, 2098, 777, 520, 16695, 15141, 687, 563, 268, 9484, 592, 1386, 320, 267, 20844, 717, 514, 15530, 1546, 269, 19391, 919, 1325, 614, 267, 2107, 267, 593, 519, 3807, 15486, 585, 2782, 18830, 519, 12075, 269, 5291, 2517, 4178, 31815, 3518, 807, 12975, 270, 659, 529, 270, 1115, 270, 6717, 3918, 4696, 270, 572, 335, 592, 1386, 21867, 454, 268, 20844, 717, 1149, 632, 9484, 592, 1386, 320, 729, 513, 5053, 17308, 945, 7722, 538, 513, 4583, 4571, 268, 1428, 628, 2540, 7521, 609, 19258, 565, 727, 632, 20098, 16629, 553, 936, 519, 2924, 540, 519, 12075, 269, 29336, 553, 1723, 814, 1767, 602, 9484, 592, 1386, 320, 4564, 519, 5784, 602, 674, 2001, 17630, 4547, 547, 6792, 538, 519, 4098, 540, 519, 4670, 269, 6423, 1657, 585, 513, 5758, 540, 9484, 592, 1386, 320, 781, 7440, 563, 268, 590, 1069, 517, 676, 21293, 632, 8053, 525, 16394, 630, 14681, 272, 264, 5291, 2517, 4178, 6155, 580, 1388, 20931, 269, 7795, 12975, 270, 14048, 318, 20931, 4882, 335, 664, 4882, 335, 664, 8548, 2632, 525, 16394, 6983, 325, 332, 454, 268, 634, 4583, 28005, 517, 602, 12153, 20098, 16629, 553, 781, 834, 935, 11437, 2437, 538, 799, 8053, 525, 16394, 31234, 519, 8103, 540, 519, 7111, 4892, 563, 268, 20961, 267, 1323, 1575, 269, 834, 288, 10021, 518, 593, 3026, 565, 28515, 1143, 1701, 6820, 12983, 476, 2420, 4119, 269, 476, 1001, 271, 269, 5680, 269, 476, 2767, 4924, 269, 476, 1001, 273, 269, 5291, 2517, 4178, 3052, 331, 2128, 1170, 1132, 3820, 270, 14835, 270, 4375, 21669, 17376, 25534, 6823, 16250, 565, 28515, 1143, 563, 268, 6820, 1170, 1132, 3820, 568, 606, 2228, 8313, 267, 23185, 5631, 676, 28479, 766, 5830, 267, 602, 2337, 547, 8774, 1769, 593, 2152, 1472, 519, 1158, 689, 513, 3099, 540, 5380, 269, 20961, 781, 2376, 3877, 29724, 2000, 28515, 1143, 543, 519, 605, 781, 543, 598, 781, 540, 519, 2804, 3609, 538, 875, 621, 12211, 547, 2477, 540, 1585, 2804, 6617, 269, 634, 2376, 568, 5097, 605, 683, 565, 28515, 1143, 267, 855, 621, 1281, 5905, 2390, 519, 30852, 540, 519, 1062, 563, 268, 31187, 632, 21563, 2592, 540, 20098, 16629, 553, 269, 5291, 2517, 21745, 1388, 7456, 756, 269, 548, 14683, 12975, 14121, 7434, 270, 3286, 2305, 270, 2908, 4944, 664, 270, 13548, 270, 272, 13045, 268, 1546, 21563, 781, 2592, 834, 16647, 983, 1242, 257, 519, 3520, 5558, 1739, 6602, 602, 19258, 565, 727, 632, 20098, 16629, 553, 22281, 539, 538, 1010, 16684, 20121, 2315, 540, 519, 28851, 563, 268, 31187, 1546, 21563, 781, 16503, 5928, 585, 19258, 565, 727, 632, 20098, 16629, 553, 781, 10374, 10055, 540, 519, 20121, 2315, 540, 519, 28851, 5291, 2517, 4178, 269, 548, 14683, 12975, 270, 260, 278, 292, 324, 329, 326, 272, 7933, 665, 15828, 2444, 553, 553, 11305, 553, 553, 21867, 454, 268, 6271, 4015, 540, 2592, 18913, 20098, 16629, 553, 781, 1257, 563, 268, 9504, 20334, 269, 834, 289, 691, 565, 558, 2946, 632, 15255, 16629, 553, 1701, 9504, 267, 634, 5131, 15610, 269, 476, 2918, 4924, 269, 476, 1001, 271, 269, 5680, 269, 476, 272, 3057, 269, 476, 1001, 271, 269, 5291, 2517, 523, 25769, 3820, 28293, 20324, 691, 565, 558, 260, 290, 274, 260, 288, 280, 318, 1372, 9078, 553, 318, 290, 553, 553, 454, 268, 589, 22510, 2656, 2272, 540, 20098, 16629, 553, 267, 519, 9976, 4347, 2658, 540, 519, 12075, 267, 606, 3140, 4137, 1572, 547, 2247, 950, 674, 2001, 17630, 8992, 840, 2286, 676, 1383, 2864, 982, 1210, 3196, 1996, 519, 12075, 563, 268, 1990, 777, 520, 626, 732, 23728, 2593, 5291, 2517, 4178, 269, 345, 777, 520, 626, 732, 23728, 2593, 15828, 3855, 11258, 454, 268, 6435, 995, 4015, 540, 6402, 547, 713, 11204, 7111, 1977, 3350, 609, 4171, 2489, 6663, 30571, 29336, 553, 1723, 5128, 814, 2404, 1010, 4670, 269, 0, 24257, 12745, 568, 513, 1305, 454, 9563, 1411, 616, 6340, 538, 519, 13737, 269, 1684, 596, 1611, 547, 454, 9563, 17538, 602, 602, 568, 513, 2582, 3364, 1572, 454, 9563, 834, 935, 3667, 257, 799, 568, 513, 2608, 4820, 7781, 265, 1305, 888, 285, 291, 301, 281, 634, 6073, 538, 799, 16671, 4811, 1705, 713, 568, 547, 3715, 972, 941, 476, 279, 2101, 454, 285, 2399, 832, 602, 6766, 519, 6073, 538, 799, 513, 20902, 1239, 3693, 454, 285, 935, 1061, 3587, 513, 1360, 1808, 1239, 3693, 269, 901, 729, 5219, 547, 607, 519, 454, 285, 935, 3667, 799, 22466, 513, 1305, 540, 1919, 269, 898, 729, 16363, 1875, 7721, 5477, 607, 972, 454, 285, 13195, 1100, 1259, 547, 917, 952, 621, 729, 2347, 563, 24257, 540, 4642, 610, 811, 4018, 13294, 454, 9563, 1548, 568, 513, 1412, 23974, 8595, 262, 888, 285, 291, 301, 281, 898, 568, 513, 6167, 270, 4753, 293, 16898, 2165, 269, 898, 10199, 18922, 547, 606, 5007, 3196, 610, 454, 285, 553, 788, 551, 540, 2796, 630, 4905, 994, 310, 7159, 269, 1411, 616, 1934, 10747, 834, 935, 3667, 2668, 1411, 3112, 9029, 547, 606, 454, 262, 553, 1051, 540, 2796, 262, 538, 519, 1360, 4214, 540, 2796, 269, 630, 6349, 994, 285, 6518, 814, 513, 29286, 1198, 593, 519, 3236, 1373, 454, 17764, 267, 1134, 1287, 602, 568, 2484, 1932, 12145, 607, 851, 540, 513, 2489, 454, 3698, 6873, 267, 607, 8658, 666, 798, 2484, 811, 982, 713, 269, 589, 17187, 454, 935, 3667, 267, 585, 1383, 267, 666, 6338, 9988, 883, 519, 1455, 2666, 454, 7474, 941, 711, 1459, 1354, 269, 769, 7261, 322, 781, 1412, 332, 2222, 1492, 800, 262, 2070, 540, 454, 935, 3667, 338, 267, 513, 2796, 666, 1689, 519, 2495, 540, 513, 2262, 538, 1082, 2081, 2676, 2254, 2141, 25516, 269, 630, 6860, 994, 285, 7151, 281, 1403, 594, 993, 606, 3236, 540, 519, 1480, 1362, 630, 16341, 2161, 713, 454, 285, 332, 697, 581, 513, 12701, 1070, 543, 729, 538, 4516, 267, 713, 2306, 803, 513, 8225, 1480, 2676, 285, 7424, 811, 1808, 982, 513, 6071, 1480, 563, 24257, 602, 1860, 1585, 3344, 540, 454, 24257, 519, 5033, 24939, 540, 513, 2016, 3948, 563, 9563, 2986, 519, 5033, 24939, 610, 540, 519, 2495, 888, 285, 291, 301, 281, 13018, 538, 6167, 270, 4753, 293, 16898, 2474, 267, 621, 1110, 5809, 519, 5033, 24939, 676, 1818, 519, 454, 285, 27349, 811, 7463, 585, 519, 1808, 2796, 269, 589, 13598, 4266, 1239, 454, 285, 324, 2211, 666, 581, 15568, 543, 28653, 547, 581, 513, 834, 303, 21332, 24576, 2529, 1222, 6185, 622, 4840, 285, 6518, 568, 513, 1826, 540, 4266, 602, 3217, 593, 3606, 4162, 563, 285, 9616, 602, 782, 540, 519, 18631, 616, 2944, 1282, 519, 9781, 960, 547, 13217, 454, 285, 5471, 20631, 676, 1818, 519, 5033, 24939, 540, 1239, 2609, 811, 7463, 269, 630, 4962, 994, 308, 332, 1862, 594, 1589, 649, 616, 693, 3444, 5301, 827, 1018, 834, 9895, 24939, 257, 1797, 563, 1103, 1250, 2474, 267, 9039, 540, 713, 2242, 519, 5033, 24939, 630, 514, 1249, 267, 621, 1131, 581, 454, 4820, 540, 519, 5033, 24939, 1040, 1809, 15528, 267, 594, 1205, 519, 2856, 269, 630, 6187, 994, 24257, 7756, 2796, 4018, 13294, 666, 1764, 454, 24257, 835, 610, 811, 3344, 540, 519, 5033, 24939, 540, 971, 6898, 1519, 454, 24257, 6041, 2474, 543, 2035, 563, 24257, 589, 4837, 540, 1216, 454, 9563, 1548, 568, 713, 606, 1383, 540, 286, 1772, 519, 4837, 540, 1216, 454, 9563, 519, 1888, 540, 606, 23835, 1108, 267, 610, 606, 1383, 540, 513, 454, 9563, 6041, 540, 1945, 888, 285, 291, 301, 281, 1323, 3236, 540, 513, 1362, 540, 2901, 513, 30953, 540, 23835, 1108, 269, 630, 5881, 994, 10498, 267, 594, 1294, 269, 634, 1362, 540, 14296, 540, 1216, 269, 1809, 835, 3112, 1294, 513, 1362, 2676, 528, 723, 621, 9361, 593, 835, 781, 10051, 3349, 269, 630, 5400, 994, 285, 12344, 713, 454, 285, 529, 711, 519, 1655, 1383, 607, 594, 7074, 1310, 594, 5206, 621, 563, 24257, 12745, 835, 912, 24257, 19371, 540, 1216, 568, 9361, 593, 707, 10051, 3349, 269, 1677, 519, 3328, 5375, 454, 24257, 20626, 267, 621, 568, 3833, 538, 621, 781, 1747, 538, 713, 2796, 543, 568, 711, 6659, 538, 454, 24257, 835, 781, 4835, 24042, 8637, 563, 9563, 7790, 286, 1548, 4835, 24042, 8637, 616, 596, 6158, 454, 9563, 827, 286, 594, 1360, 1454, 8969, 952, 1250, 2634, 1568, 1210, 454, 9563, 681, 5263, 269, 1656, 1018, 1281, 1412, 571, 1047, 262, 1611, 888, 285, 291, 301, 281, 606, 21658, 547, 2161, 602, 596, 1131, 711, 6318, 621, 538, 707, 2489, 1377, 540, 454, 285, 10277, 1145, 538, 713, 2796, 607, 972, 568, 4986, 602, 16716, 596, 607, 8966, 610, 454, 285, 719, 540, 1747, 269, 744, 307, 15121, 267, 952, 596, 941, 1360, 19818, 344, 267, 596, 949, 5612, 4368, 622, 454, 285, 20365, 3007, 593, 713, 1843, 269, 630, 6021, 994, 10498, 267, 855, 1018, 814, 782, 713, 3893, 547, 798, 609, 1018, 630, 296, 2219, 264, 649, 941, 454, 339, 22736, 827, 286, 630, 18089, 994, 6630, 310, 267, 596, 1522, 1265, 713, 4277, 267, 922, 513, 2565, 5619, 594, 5206, 454, 1721, 835, 540, 519, 2796, 11925, 513, 1906, 1296, 3516, 267, 543, 2306, 513, 1906, 454, 23251, 18728, 799, 616, 4143, 1934, 269, 630, 18733, 994, 285, 23645, 10417, 281, 1216, 267, 1079, 6675, 540, 7250, 3808, 547, 835, 540, 454, 285, 2135, 4723, 538, 513, 4837, 454, 24257, 667, 836, 2730, 281, 7654, 454, 24257, 3557, 281, 5277, 454, 24257, 2422, 281, 844, 523, 4221, 19818, 454, 24257, 7136, 281, 827, 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 ]
[ 670, 5960, 5742, 941, 856, 1586, 538, 519, 1647, 540, 519, 3923, 269, 2201, 476, 736, 628, 267, 670, 5960, 23433, 2073, 950, 22215, 513, 5996, 1195, 538, 513, 6366, 9350, 267, 729, 2938, 1354, 20590, 543, 729, 4831, 16091, 609, 12964, 3178, 10997, 269, 2701, 729, 2938, 1586, 950, 22215, 1776, 5996, 1195, 543, 729, 1586, 16271, 547, 606, 4323, 676, 3178, 10997, 267, 930, 540, 799, 941, 9296, 3228, 2406, 2673, 269, 2608, 295, 5960, 772, 1440, 697, 630, 299, 773, 23133, 23404, 654, 571, 603, 681, 301, 264, 4718, 4986, 267, 855, 670, 5960, 5742, 630, 299, 773, 23133, 681, 300, 717, 9994, 599, 681, 301, 1070, 1310, 8289, 532, 5996, 9081, 856, 540, 2039, 593, 476, 1015, 628, 543, 476, 736, 628, 267, 16091, 513, 3791, 593, 476, 2420, 526, 20590, 1614, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 6344, 271, 18126, 543, 29855, 623, 2884, 549, 2372, 518, 7236, 540, 476, 1911, 275, 9748, 563, 295, 5960, 772, 3464, 3121, 630, 299, 773, 23133, 589, 297, 27963, 20044, 773, 681, 301, 264, 729, 593, 29862, 1055, 25676, 10008, 693, 519, 4098, 540, 4873, 855, 1352, 8120, 8900, 19942, 1310, 7508, 21471, 9635, 593, 476, 2767, 628, 543, 476, 4029, 560, 2904, 693, 476, 7742, 271, 543, 476, 5611, 271, 18126, 609, 1079, 8731, 6244, 3996, 17991, 689, 519, 10116, 693, 1142, 540, 873, 269, 769, 519, 594, 20897, 7256, 267, 670, 5960, 772, 874, 27212, 630, 852, 31924, 8121, 1261, 345, 2280, 681, 301, 264, 729, 2366, 547, 29862, 513, 17122, 1448, 1141, 519, 11507, 689, 11619, 2088, 547, 5484, 724, 21532, 543, 689, 570, 5875, 334, 547, 25676, 10008, 12969, 539, 267, 855, 1352, 1152, 4718, 513, 6413, 6928, 269, 670, 5960, 1133, 18566, 523, 630, 299, 773, 23133, 661, 288, 8381, 1189, 681, 301, 264, 1273, 9776, 519, 7532, 5032, 540, 24558, 1176, 538, 519, 1647, 540, 519, 3923, 543, 593, 476, 1626, 628, 1352, 8289, 539, 513, 1804, 561, 10719, 5045, 20129, 693, 1164, 3432, 543, 8876, 856, 513, 6024, 3500, 1990, 580, 345, 698, 269, 9050, 8731, 6244, 3996, 941, 17991, 693, 513, 2039, 540, 476, 14596, 271, 18126, 267, 855, 789, 14406, 713, 2352, 3077, 269, 2201, 476, 2537, 6113, 4873, 267, 513, 5365, 729, 1101, 1232, 7973, 539, 538, 942, 547, 581, 19500, 2390, 269, 898, 7000, 602, 2185, 13274, 619, 2407, 540, 10136, 941, 827, 547, 4734, 10878, 1255, 585, 25676, 10008, 676, 519, 18135, 1080, 540, 11619, 2088, 269, 670, 5960, 7984, 613, 729, 2907, 593, 29862, 5045, 540, 11619, 2088, 543, 2608, 295, 5960, 772, 874, 27212, 630, 28785, 31924, 2155, 6387, 11022, 654, 1678, 14979, 681, 301, 264, 543, 670, 5960, 1133, 18566, 523, 941, 693, 2899, 30774, 689, 5689, 3279, 547, 6443, 1200, 269, 1306, 519, 5996, 1195, 7153, 689, 519, 18135, 1080, 621, 729, 8185, 16091, 676, 8484, 689, 5689, 3279, 543, 5828, 1394, 547, 11619, 2088, 269, 8307, 670, 5960, 772, 874, 27212, 9575, 513, 19214, 540, 621, 607, 621, 19622, 267, 543, 1352, 1223, 711, 1205, 883, 513, 8731, 6244, 334, 20590, 2990, 269, 670, 5960, 772, 874, 27212, 729, 1287, 27416, 547, 5689, 3279, 269, 1306, 4166, 607, 1352, 1185, 8854, 267, 519, 5996, 1195, 30774, 1586, 543, 5293, 670, 5960, 7984, 613, 2073, 945, 729, 7722, 538, 606, 5106, 1996, 519, 16749, 1899, 693, 19248, 768, 2088, 267, 543, 6603, 25676, 10008, 9108, 269, 670, 5960, 7984, 613, 15354, 1200, 16710, 657, 896, 18279, 13177, 538, 1165, 21538, 593, 476, 2767, 628, 543, 789, 16309, 538, 25738, 909, 513, 5721, 538, 513, 15993, 2282, 15729, 5842, 1325, 817, 1470, 269, 18279, 3244, 12121, 5156, 602, 891, 6285, 593, 519, 7969, 7841, 1811, 941, 540, 9645, 1871, 269, 1280, 513, 1507, 4674, 593, 938, 851, 267, 519, 32228, 2103, 941, 7142, 547, 9856, 930, 476, 8517, 5195, 540, 9381, 3950, 543, 713, 1131, 991, 513, 1804, 1297, 540, 10136, 269, 670, 5960, 7984, 613, 849, 8289, 539, 1079, 5230, 2267, 23924, 609, 2185, 6861, 619, 593, 476, 3066, 628, 4873, 269, 2701, 17991, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4335, 271, 18126, 855, 609, 1100, 1267, 269, 2701, 729, 4831, 16091, 676, 519, 26603, 677, 855, 729, 3768, 600, 3042, 269, 2201, 476, 273, 526, 5147, 267, 1354, 13059, 547, 5689, 3279, 267, 670, 5960, 7984, 613, 8289, 539, 513, 21471, 6928, 26603, 9285, 676, 1018, 1352, 2219, 729, 606, 11439, 21471, 2267, 16014, 269, 2701, 17991, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4968, 271, 18126, 543, 4862, 835, 5734, 855, 1312, 9635, 4797, 593, 741, 1259, 15151, 3768, 600, 3042, 269, 30272, 835, 540, 891, 9635, 267, 519, 608, 21785, 4858, 1066, 320, 540, 476, 277, 269, 7597, 277, 9748, 267, 729, 3141, 330, 676, 2011, 4323, 593, 1200, 1259, 689, 6022, 1069, 334, 547, 25676, 10008, 563, 4002, 476, 1704, 628, 4873, 267, 607, 2907, 5143, 269, 670, 5960, 7780, 2865, 630, 299, 773, 23133, 2155, 6387, 28251, 595, 599, 2917, 681, 301, 264, 30774, 689, 5689, 3279, 547, 1780, 519, 24558, 1176, 9553, 26753, 543, 29862, 538, 519, 13323, 540, 661, 18860, 8598, 269, 4173, 3483, 729, 547, 9514, 909, 519, 16749, 593, 519, 7262, 2427, 540, 519, 7969, 25345, 269, 1635, 476, 2420, 526, 1352, 729, 1055, 853, 668, 2513, 328, 543, 593, 519, 3781, 540, 476, 2537, 6113, 270, 2190, 628, 1352, 15354, 1200, 16710, 657, 267, 896, 18279, 5576, 1993, 1752, 267, 538, 1165, 2692, 1846, 267, 547, 9514, 909, 519, 16749, 1899, 547, 3204, 326, 1470, 269, 634, 8034, 8240, 8959, 693, 1101, 26089, 513, 2034, 13941, 547, 7816, 873, 269, 670, 5960, 7780, 2865, 1287, 10272, 519, 7187, 1935, 547, 11619, 2088, 543, 8289, 539, 1079, 5996, 9081, 602, 5293, 856, 540, 2039, 269, 2201, 476, 2764, 628, 1352, 729, 2111, 547, 3595, 1614, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 6344, 271, 18126, 693, 7969, 18535, 6928, 2037, 878, 334, 22728, 540, 476, 275, 269, 24699, 9748, 267, 799, 1352, 521, 1678, 269, 6271, 3801, 547, 2244, 16710, 657, 1185, 547, 581, 14460, 950, 519, 26747, 729, 8289, 539, 689, 519, 13272, 563, 763, 3677, 20140, 1149, 693, 28641, 5258, 741, 29862, 338, 1063, 5484, 724, 21532, 267, 519, 13323, 540, 11184, 974, 543, 519, 32363, 613, 534, 269, 634, 29862, 338, 1055, 5484, 724, 21532, 941, 1134, 5116, 547, 18448, 6808, 689, 7977, 547, 4000, 1524, 519, 7178, 5032, 540, 10255, 543, 1346, 538, 519, 13323, 540, 11184, 974, 547, 3247, 9381, 6808, 547, 5484, 724, 21532, 689, 25676, 10008, 267, 799, 729, 1869, 519, 1292, 771, 10603, 1046, 566, 2823, 269, 769, 519, 32363, 613, 534, 267, 972, 729, 711, 1152, 519, 1271, 7382, 518, 6808, 689, 519, 667, 731, 534, 21304, 855, 849, 519, 10546, 4262, 10618, 609, 11511, 974, 267, 519, 667, 1712, 4754, 3150, 543, 519, 5259, 32363, 613, 534, 10195, 267, 1082, 540, 799, 1631, 1185, 4108, 575, 1551, 11143, 269, 1703, 941, 849, 1079, 824, 3096, 585, 20140, 1149, 267, 519, 1101, 540, 799, 729, 547, 4163, 7727, 547, 5689, 3279, 267, 799, 1631, 267, 609, 519, 2530, 540, 11511, 974, 267, 729, 12303, 2759, 1055, 689, 519, 7532, 607, 1134, 607, 689, 519, 7178, 269, 634, 2034, 4305, 729, 547, 4217, 538, 519, 26219, 5859, 602, 729, 1631, 538, 3356, 563, 295, 5960, 570, 27495, 630, 299, 773, 23133, 2155, 6387, 661, 15598, 12832, 565, 599, 681, 301, 264, 2451, 28641, 593, 476, 272, 560, 4873, 585, 5484, 724, 21532, 543, 593, 476, 278, 628, 7722, 513, 512, 1872, 267, 14402, 543, 606, 4550, 28175, 3405, 710, 911, 342, 2401, 676, 7784, 13933, 855, 519, 2962, 1185, 547, 581, 7745, 1055, 950, 1200, 7784, 795, 25428, 269, 11048, 519, 7784, 29539, 4406, 528, 6242, 543, 1079, 1507, 8043, 9103, 16226, 476, 4366, 280, 9748, 521, 1678, 607, 513, 1267, 540, 713, 2962, 269, 2701, 15354, 513, 11028, 18590, 5428, 593, 717, 9618, 1695, 6816, 602, 3781, 543, 556, 268, 10603, 1046, 539, 873, 1985, 1554, 269, 2201, 476, 1556, 628, 1352, 6743, 883, 5484, 724, 21532, 543, 17991, 513, 8731, 6244, 334, 693, 513, 2039, 540, 476, 15996, 271, 18126, 693, 606, 7969, 6928, 7258, 267, 18644, 570, 11035, 700, 631, 4072, 540, 476, 272, 269, 7785, 9748, 267, 799, 6926, 342, 909, 543, 521, 1678, 269, 8921, 1554, 1352, 16091, 513, 5996, 1195, 2038, 538, 519, 6640, 609, 1079, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 1220, 271, 18126, 29855, 7969, 21471, 6928, 8125, 341, 1470, 2480, 16336, 328, 540, 476, 272, 269, 3607, 278, 9748, 269, 2701, 729, 17212, 1386, 538, 713, 1858, 676, 670, 5960, 3204, 550, 630, 299, 773, 23133, 2155, 6387, 31125, 645, 992, 928, 681, 301, 264, 855, 1352, 1185, 513, 4625, 10145, 29862, 1063, 476, 866, 628, 4873, 543, 476, 276, 628, 5147, 269, 670, 5960, 570, 8922, 874, 630, 8333, 6387, 654, 297, 310, 28418, 681, 301, 264, 2451, 28641, 593, 476, 2918, 628, 4873, 543, 4166, 8289, 539, 519, 7969, 26747, 6428, 11985, 4947, 2786, 585, 1200, 269, 674, 8960, 1352, 1131, 4413, 609, 8731, 6244, 3996, 267, 1352, 17774, 3166, 543, 7722, 609, 1200, 7784, 13844, 1614, 16125, 856, 540, 476, 3451, 21448, 17991, 267, 1310, 799, 519, 7969, 1016, 19282, 25978, 11074, 1524, 676, 519, 29523, 269, 670, 5960, 570, 8922, 874, 1287, 17991, 1079, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4335, 18126, 18644, 609, 835, 540, 873, 543, 29855, 1200, 269, 670, 5960, 570, 8922, 874, 6603, 519, 5484, 724, 21532, 1858, 593, 476, 275, 628, 5147, 543, 1985, 1554, 7722, 519, 7969, 1071, 2120, 715, 8882, 20660, 540, 476, 2568, 278, 9748, 676, 7784, 13933, 543, 521, 1678, 1200, 269, 2201, 476, 279, 628, 1352, 16094, 8697, 519, 4550, 28175, 3405, 710, 911, 342, 2401, 1546, 700, 583, 16210, 540, 476, 29214, 9748, 855, 729, 7142, 547, 11198, 676, 513, 13272, 6007, 267, 799, 5734, 1200, 543, 8697, 1200, 4464, 269, 1546, 13198, 512, 16210, 1287, 9575, 3595, 543, 521, 1678, 269, 670, 5960, 570, 8922, 874, 729, 2663, 10288, 547, 8399, 547, 5689, 3279, 585, 18203, 563, 1103, 519, 26219, 5859, 267, 930, 2267, 23924, 543, 6861, 619, 689, 519, 11335, 18307, 564, 941, 2143, 547, 960, 593, 519, 9381, 1166, 1678, 540, 519, 7952, 269, 670, 5960, 3474, 628, 1014, 630, 8333, 6387, 631, 294, 681, 574, 15838, 667, 12569, 681, 301, 264, 729, 3773, 547, 713, 3196, 547, 29862, 1055, 2142, 597, 583, 267, 1141, 930, 1804, 966, 747, 344, 6861, 619, 941, 1759, 269, 2201, 476, 1839, 628, 4873, 267, 670, 5960, 3474, 628, 1014, 8289, 539, 519, 966, 747, 344, 3943, 26747, 27804, 742, 548, 584, 593, 519, 2627, 267, 855, 1352, 546, 1882, 1354, 606, 4323, 1223, 581, 6192, 269, 670, 5960, 3474, 628, 1014, 2073, 2705, 267, 7307, 547, 1832, 3950, 540, 1200, 10779, 776, 543, 1310, 1614, 3108, 27804, 742, 548, 584, 17774, 3166, 1586, 269, 670, 5960, 3474, 628, 1014, 729, 1287, 2111, 547, 3595, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 18605, 271, 18126, 18644, 609, 835, 540, 873, 543, 25738, 519, 10546, 883, 1079, 30556, 267, 799, 521, 1678, 269, 2701, 1185, 513, 3781, 7237, 609, 1776, 966, 747, 344, 3943, 26747, 593, 476, 2764, 628, 855, 519, 1079, 941, 865, 2673, 1927, 602, 4986, 1223, 581, 2944, 1354, 519, 10546, 546, 1882, 269, 30272, 519, 966, 747, 344, 20140, 1149, 595, 2727, 534, 543, 5651, 572, 23012, 547, 645, 714, 1068, 320, 563, 19177, 3703, 20140, 1149, 543, 1079, 5259, 20140, 1149, 1273, 9776, 538, 519, 32363, 613, 534, 1282, 4873, 269, 670, 5960, 8776, 321, 599, 630, 299, 773, 23133, 2155, 6387, 589, 6717, 631, 4536, 681, 301, 264, 30774, 689, 28641, 593, 476, 2764, 628, 2904, 543, 5293, 998, 519, 2480, 17369, 27053, 26463, 593, 1200, 1259, 547, 519, 667, 731, 534, 21304, 269, 2701, 1558, 1079, 1309, 2294, 267, 835, 540, 799, 729, 8876, 4620, 1503, 543, 521, 1678, 873, 676, 7784, 13933, 269, 2201, 476, 277, 628, 4873, 1055, 15729, 18774, 525, 1352, 11402, 519, 3943, 7382, 518, 22598, 540, 476, 274, 269, 11740, 9748, 543, 5734, 1200, 609, 513, 2582, 8731, 6244, 334, 17991, 689, 1318, 4230, 1716, 693, 476, 1911, 271, 18126, 269, 634, 7382, 518, 1287, 12979, 1819, 538, 13719, 1216, 543, 606, 5662, 543, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2119, 543, 2626, 519, 476, 1015, 1604, 5829, 2055, 602, 519, 5496, 786, 10460, 547, 596, 269, 7994, 519, 2626, 267, 5734, 519, 7735, 543, 7118, 2798, 563, 5194, 4159, 20217, 596, 547, 17967, 513, 5679, 984, 609, 9910, 2137, 540, 2831, 899, 519, 1306, 328, 1738, 17794, 543, 4095, 3552, 1028, 7923, 547, 621, 267, 543, 1451, 540, 519, 5726, 4567, 540, 1142, 2831, 607, 519, 7222, 1344, 2982, 909, 593, 519, 5496, 267, 609, 2127, 12006, 593, 519, 4095, 4786, 563, 2026, 596, 19584, 998, 519, 3908, 855, 24084, 2287, 10525, 267, 596, 3112, 948, 855, 2097, 856, 2348, 19927, 1082, 1007, 5013, 899, 875, 5726, 538, 3127, 7389, 1394, 547, 476, 274, 6113, 2540, 14514, 269, 589, 2203, 540, 513, 4224, 1196, 1112, 689, 14890, 12891, 24499, 779, 5736, 10268, 693, 519, 14266, 28542, 856, 519, 5726, 3646, 17298, 1282, 1010, 12081, 899, 7333, 940, 519, 10122, 540, 1978, 2249, 540, 3552, 3662, 267, 10661, 540, 4104, 543, 7320, 14425, 543, 29611, 540, 28877, 547, 6469, 543, 3552, 2831, 563, 10214, 8575, 32257, 19413, 1185, 3144, 4063, 540, 519, 2604, 547, 938, 4541, 281, 968, 24618, 2488, 2614, 547, 14183, 1169, 812, 781, 2115, 267, 855, 711, 1169, 812, 781, 26846, 3034, 7661, 267, 945, 568, 3743, 585, 519, 2916, 1689, 286, 5808, 3361, 8733, 19261, 286, 5808, 2813, 519, 2604, 593, 938, 3618, 779, 2200, 286, 6733, 883, 713, 1880, 4159, 693, 519, 14266, 585, 4267, 269, 3371, 779, 513, 23319, 2443, 621, 779, 3893, 19141, 3330, 563, 8489, 281, 3026, 327, 745, 3163, 10418, 267, 3220, 269, 661, 269, 15584, 10003, 267, 1937, 2993, 454, 2691, 281, 4728, 476, 2767, 27477, 454, 11742, 281, 476, 1015, 513, 6230, 269, 547, 476, 277, 533, 6230, 563, 23086, 281, 476, 28873, 268, 27149, 273, 476, 271, 4366, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11951, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5230, 1524, 335, 2293, 799, 616, 6038, 1651, 1243, 676, 2916, 1689, 563, 763, 1533, 540, 4993, 568, 711, 1007, 547, 8755, 17160, 267, 543, 17160, 607, 519, 1216, 4320, 538, 519, 8933, 2066, 519, 1533, 1628, 909, 543, 24492, 1282, 5230, 22856, 269, 1717, 267, 519, 2360, 540, 2916, 1689, 24244, 519, 11811, 4320, 267, 8754, 519, 10171, 540, 513, 19251, 2378, 331, 797, 563, 300, 1122, 2378, 331, 797, 1107, 4299, 2127, 543, 1018, 621, 1797, 547, 519, 2475, 454, 1103, 513, 1353, 267, 3744, 1336, 856, 602, 519, 4993, 6239, 9503, 267, 1519, 645, 5474, 7615, 267, 674, 637, 7224, 267, 543, 15762, 26963, 334, 267, 1131, 1294, 519, 1034, 9552, 269, 634, 1239, 568, 1759, 593, 513, 1788, 602, 7851, 519, 1216, 11517, 6283, 543, 2009, 13247, 13250, 936, 519, 1858, 538, 513, 476, 1789, 6377, 6885, 563, 763, 2475, 24959, 11752, 1767, 602, 1058, 6239, 9503, 581, 18233, 856, 1813, 547, 519, 19251, 2378, 331, 797, 282, 1426, 3761, 21463, 1223, 4755, 607, 519, 1858, 7472, 936, 513, 10116, 540, 519, 1426, 3761, 540, 519, 2475, 563, 763, 2360, 540, 519, 19251, 2378, 331, 797, 786, 581, 5433, 2066, 519, 2197, 269, 4340, 547, 513, 1353, 267, 519, 3441, 519, 19251, 2378, 331, 797, 1131, 2014, 1522, 3914, 1269, 272, 18265, 543, 16094, 3441, 519, 21060, 543, 11968, 13353, 17521, 269, 769, 1840, 267, 519, 31685, 1131, 1831, 519, 1942, 31586, 9568, 538, 2475, 1686, 1107, 2947, 2053, 602, 540, 23587, 15576, 27444, 267, 519, 1942, 31586, 593, 2594, 563, 5649, 4746, 281, 853, 762, 30803, 19791, 5494, 2642, 267, 12207, 17166, 7043, 518, 13773, 593, 519, 9855, 25792, 454, 763, 19251, 2378, 331, 797, 5949, 1354, 267, 543, 621, 1131, 581, 8338, 713, 942, 454, 7021, 476, 5611, 1296, 3516, 267, 519, 13642, 3557, 4718, 835, 540, 519, 1034, 14124, 17160, 538, 519, 1686, 540, 519, 2197, 269, 898, 729, 1287, 4553, 676, 513, 10980, 799, 28978, 519, 2360, 540, 519, 9568, 563, 763, 2680, 729, 3361, 676, 513, 3126, 540, 1524, 335, 2293, 602, 4904, 519, 8933, 543, 3366, 873, 547, 856, 335, 712, 269, 1306, 513, 1267, 267, 3601, 941, 10032, 267, 13184, 729, 8854, 267, 543, 2729, 941, 4503, 269, 4340, 547, 4210, 664, 267, 513, 1454, 8273, 3032, 659, 569, 338, 6193, 2680, 267, 971, 607, 538, 15762, 26963, 334, 267, 1223, 4755, 1586, 267, 855, 713, 942, 267, 621, 1223, 581, 8338, 563, 2108, 22746, 513, 6360, 2680, 538, 2413, 4993, 1131, 2693, 9765, 519, 14796, 689, 513, 1804, 9588, 13091, 676, 513, 9645, 14345, 2223, 1767, 519, 1353, 269, 968, 2171, 1265, 602, 2916, 1689, 814, 2907, 2799, 519, 1981, 540, 513, 630, 5908, 273, 264, 19251, 2378, 331, 797, 9183, 538, 4993, 267, 855, 602, 2104, 2916, 8337, 786, 2693, 3142, 827, 1256, 5857, 704, 1981, 4679, 2223, 621, 3773, 563, 2108, 27407, 267, 835, 540, 938, 3853, 568, 711, 1175, 547, 1174, 891, 2621, 23963, 267, 855, 621, 779, 849, 547, 948, 4993, 5965, 585, 873, 269, 898, 779, 513, 2243, 540, 950, 2864, 982, 952, 630, 1492, 19251, 2378, 331, 797, 264, 4386, 2223, 4210, 664, 1767, 563, 2108, 2691, 713, 630, 4148, 797, 264, 4386, 1586, 267, 519, 4539, 1131, 581, 3552, 569, 1114, 982, 789, 941, 1394, 538, 519, 476, 5908, 271, 338, 2223, 3773, 4210, 664, 269, 0, 268, 901, 4199, 2488, 513, 24920, 547, 946, 607, 513, 3391, 950, 8939, 3059, 2645, 543, 606, 6268, 19875, 547, 581, 4904, 856, 547, 3313, 519, 3872, 7145, 540, 519, 1907, 2899, 922, 1044, 5189, 883, 519, 6437, 563, 268, 13722, 12729, 267, 16592, 12729, 267, 5664, 3427, 267, 4400, 3427, 267, 12333, 3447, 1807, 454, 268, 6103, 476, 280, 267, 6103, 476, 1015, 267, 6103, 476, 1556, 267, 6103, 476, 1321, 454, 268, 7698, 7392, 912, 268, 15099, 10934, 267, 11676, 878, 270, 9928, 1681, 6651, 267, 9752, 270, 13981, 15613, 454, 268, 30960, 14811, 6199, 267, 13191, 16200, 267, 7225, 344, 700, 1030, 324, 828, 267, 13690, 717, 746, 267, 21280, 11672, 32095, 1326, 339, 454, 268, 11261, 1520, 4765, 912, 268, 11300, 12780, 21922, 6348, 4211, 558, 14293, 9523, 1325, 833, 454, 268, 9012, 14474, 912, 268, 8281, 762, 2703, 338, 267, 7956, 270, 12487, 7876, 454, 5591, 20241, 2943, 563, 17098, 972, 269, 594, 723, 513, 2243, 827, 713, 4199, 543, 1131, 899, 547, 7662, 10479, 547, 2671, 621, 538, 606, 594, 4306, 292, 2228, 1576, 594, 993, 2870, 269, 16393, 2576, 3914, 856, 547, 803, 827, 713, 630, 16942, 11333, 2593, 21663, 11289, 596, 256, 0, 1692, 519, 21478, 540, 4804, 31802, 543, 8682, 7232, 24351, 593, 4841, 685, 19556, 19793, 22777, 4438, 519, 13044, 268, 866, 17455, 2438, 888, 268, 476, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 1692, 547, 946, 513, 20396, 888, 268, 4804, 8404, 282, 8682, 30797, 282, 4841, 685, 6310, 10781, 454, 763, 1967, 540, 1053, 685, 6128, 1565, 568, 12936, 676, 1079, 2188, 281, 4835, 543, 5007, 7506, 269, 18378, 2188, 616, 519, 3815, 602, 2501, 689, 1369, 519, 1053, 267, 543, 5007, 2188, 616, 2188, 602, 2097, 689, 519, 1604, 540, 519, 1053, 269, 11790, 547, 581, 7074, 547, 2087, 519, 6310, 9740, 540, 1053, 616, 1565, 8404, 543, 1582, 30797, 269, 634, 3483, 540, 713, 1353, 729, 547, 1265, 856, 519, 3310, 540, 1565, 8404, 543, 1582, 30797, 593, 1053, 685, 6310, 10781, 1282, 519, 13044, 268, 866, 6855, 269, 901, 1382, 568, 608, 2022, 1249, 334, 1382, 5473, 513, 3732, 540, 476, 12208, 1053, 689, 1362, 2473, 594, 5183, 590, 7246, 693, 681, 807, 340, 5697, 676, 1210, 4351, 10386, 4480, 269, 4578, 4015, 1031, 519, 1739, 7405, 281, 630, 272, 264, 513, 18102, 540, 1565, 8404, 267, 630, 273, 264, 513, 18102, 540, 1582, 30797, 267, 543, 630, 274, 264, 1053, 685, 2979, 1867, 6486, 269, 634, 1382, 1239, 941, 21845, 1101, 676, 930, 1449, 4170, 267, 799, 616, 2343, 1275, 1449, 267, 10636, 657, 1027, 2880, 640, 1449, 267, 543, 24352, 565, 1467, 10846, 1449, 269, 2991, 16180, 519, 1449, 4170, 267, 519, 1239, 941, 21845, 1210, 2789, 5276, 9695, 269, 634, 1267, 4951, 602, 281, 630, 272, 264, 1053, 685, 1565, 8404, 1185, 513, 1713, 3310, 593, 1053, 685, 6310, 9740, 267, 630, 273, 264, 1053, 685, 1582, 30797, 1185, 513, 1713, 3310, 593, 1053, 685, 6310, 9740, 267, 543, 630, 274, 264, 1053, 685, 1565, 8404, 543, 1582, 30797, 8195, 1860, 1053, 685, 6310, 9740, 563, 268, 9736, 476, 1708, 272, 634, 22439, 269, 15618, 676, 7284, 656, 529, 4964, 590, 2752, 299, 563, 268, 7046, 7457, 454, 268, 901, 568, 606, 1930, 1569, 2376, 896, 519, 16671, 15760, 9539, 290, 12689, 563, 29241, 713, 2376, 454, 31159, 910, 12164, 293, 22847, 910, 4258, 3149, 328, 589, 686, 10620, 22847, 910, 667, 611, 836, 4236, 663, 328, 22847, 910, 1306, 7773, 623, 312, 910, 476, 1708, 272, 21096, 910, 476, 1708, 272, 270, 1321, 270, 1724, 30263, 910, 1215, 519, 21478, 540, 4804, 31802, 543, 8682, 7232, 24351, 593, 4841, 685, 19556, 19793, 22777, 4438, 519, 13044, 268, 866, 17455, 2438, 286, 31641, 910, 18619, 540, 519, 4139, 10985, 593, 12409, 5525, 538, 9119, 630, 2975, 334, 2464, 300, 476, 1708, 272, 264, 623, 289, 910, 7284, 656, 529, 4964, 9501, 910, 476, 3393, 273, 21768, 910, 476, 27174, 19301, 910, 476, 20720, 273, 268, 276, 4375, 279, 772, 305, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 11298, 910, 476, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 9517, 910, 589, 686, 10620, 1708, 272, 18317, 910, 0, 2171, 723, 5941, 1114, 2010, 540, 17656, 4287, 531, 17656, 25255, 1031, 538, 1114, 6381, 269, 2290, 540, 519, 1034, 1455, 2010, 540, 17656, 568, 7299, 17656, 1141, 1034, 19401, 616, 1743, 2683, 585, 1216, 267, 3282, 267, 610, 2067, 3154, 2786, 1524, 883, 519, 3618, 269, 3220, 3739, 693, 606, 5086, 824, 982, 7299, 666, 5734, 9072, 543, 12954, 23854, 538, 2081, 602, 3112, 581, 6913, 609, 513, 7299, 1134, 269, 769, 2665, 899, 891, 267, 606, 2702, 547, 8308, 27464, 519, 1134, 538, 8846, 543, 7285, 602, 8977, 689, 519, 7299, 568, 513, 3407, 2702, 563, 4002, 519, 824, 1688, 267, 8880, 4287, 531, 17656, 814, 8118, 6360, 326, 919, 585, 21427, 543, 5010, 9988, 945, 991, 3606, 10626, 19698, 689, 519, 29326, 267, 1216, 267, 543, 1379, 547, 3154, 543, 26313, 269, 2060, 519, 948, 540, 8880, 4287, 531, 17656, 25255, 267, 621, 568, 2009, 547, 3888, 20848, 5176, 9170, 693, 513, 5266, 8766, 1942, 543, 609, 1447, 17522, 547, 30120, 269, 898, 2636, 4287, 531, 17656, 25255, 547, 16590, 538, 513, 8880, 4287, 1510, 2348, 547, 2007, 2066, 519, 3037, 267, 543, 6679, 909, 1007, 12992, 269, 667, 27399, 17656, 814, 19117, 519, 17656, 1184, 563, 763, 22436, 540, 21222, 7267, 667, 27399, 3220, 3739, 616, 912, 268, 667, 9092, 1107, 1317, 540, 519, 9157, 2326, 1031, 676, 8880, 4287, 531, 17656, 25255, 267, 621, 11148, 547, 723, 3476, 1272, 21269, 543, 3152, 6111, 1282, 10380, 269, 21222, 7267, 4287, 531, 17656, 2636, 4443, 10380, 896, 8933, 267, 5397, 1811, 267, 3092, 267, 543, 30565, 532, 10612, 543, 10626, 3515, 10607, 15006, 563, 268, 674, 2120, 12305, 566, 1107, 1703, 779, 1447, 13897, 19774, 267, 1447, 547, 6450, 1722, 267, 543, 1447, 547, 26565, 540, 607, 596, 1131, 711, 991, 547, 1930, 909, 519, 3037, 269, 21222, 7267, 4287, 531, 17656, 568, 942, 22766, 936, 1930, 24408, 585, 1216, 543, 29326, 3515, 610, 20848, 563, 268, 13722, 8779, 1107, 4595, 621, 568, 5488, 267, 621, 849, 1797, 2539, 1942, 538, 519, 2631, 602, 1447, 13897, 19774, 1797, 1447, 13897, 8719, 543, 602, 9090, 17990, 942, 269, 4595, 621, 3340, 7864, 12427, 267, 972, 616, 849, 9806, 538, 2474, 540, 812, 12741, 269, 769, 1840, 267, 1447, 3937, 568, 2838, 607, 713, 1826, 540, 17656, 3085, 1406, 7048, 593, 1394, 327, 3996, 543, 824, 5230, 3937, 10519, 1023, 563, 268, 10815, 2598, 8306, 1107, 14924, 25597, 543, 942, 616, 17522, 2188, 538, 17656, 269, 4595, 8880, 17656, 8420, 2167, 1447, 3037, 543, 3085, 1406, 2154, 20857, 1524, 883, 707, 3959, 267, 3976, 30120, 786, 581, 12873, 563, 268, 21253, 1043, 19715, 1107, 21222, 7267, 17656, 2636, 13307, 540, 12992, 267, 1216, 543, 29326, 3515, 269, 1403, 596, 991, 513, 1899, 610, 20848, 2196, 896, 513, 4155, 267, 5397, 3118, 267, 7583, 3200, 267, 5757, 267, 610, 538, 606, 1858, 1141, 519, 10612, 1590, 7455, 267, 18074, 291, 666, 1450, 713, 543, 607, 513, 1267, 267, 2337, 21427, 543, 4213, 563, 268, 10815, 14606, 2552, 8727, 1107, 2094, 4287, 531, 17656, 24864, 3037, 547, 519, 2427, 2864, 982, 8744, 621, 547, 519, 2627, 267, 972, 779, 1454, 1447, 540, 513, 4960, 602, 3037, 12526, 786, 3262, 1657, 268, 3033, 269, 4746, 267, 13572, 3037, 1058, 711, 15449, 622, 519, 12992, 1317, 519, 10612, 4296, 616, 1279, 18835, 563, 268, 23225, 518, 18983, 527, 12983, 1107, 4287, 531, 17656, 25255, 2356, 2154, 1447, 3573, 28498, 1317, 621, 5932, 1447, 540, 513, 19717, 267, 7472, 1447, 11935, 267, 543, 1281, 711, 2154, 17527, 6808, 607, 10353, 547, 2757, 17656, 563, 4263, 11628, 7412, 7010, 267, 938, 3119, 1445, 543, 6791, 568, 538, 519, 8880, 4287, 531, 19309, 2361, 267, 649, 1745, 602, 2348, 936, 476, 3451, 1296, 540, 5916, 1995, 538, 782, 11775, 540, 519, 1184, 2636, 721, 547, 1683, 513, 2362, 3044, 540, 3028, 543, 2298, 547, 938, 5561, 269, 11910, 721, 1631, 269, 0, 2704, 29837, 11103, 2709, 2539, 3002, 19428, 267, 8143, 16756, 720, 543, 3002, 1761, 269, 634, 2837, 693, 799, 621, 666, 581, 1031, 585, 1279, 5712, 568, 476, 9873, 271, 476, 9610, 271, 9180, 269, 898, 568, 811, 982, 11956, 3623, 6510, 630, 1911, 271, 476, 9340, 876, 9180, 1040, 898, 666, 581, 1031, 538, 15755, 5054, 607, 1134, 607, 12444, 1944, 543, 4227, 11626, 2175, 269, 2755, 621, 1281, 723, 930, 4187, 547, 14809, 538, 606, 22279, 1604, 543, 568, 11630, 547, 8709, 18123, 25681, 607, 1134, 267, 519, 6775, 666, 1869, 581, 3362, 2144, 10757, 269, 901, 6775, 814, 513, 7415, 1648, 9494, 543, 568, 6140, 1031, 538, 3002, 13471, 7677, 2167, 269, 901, 19460, 666, 5818, 519, 1587, 779, 3977, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5149, 476, 280, 281, 12384, 667, 3496, 910, 589, 966, 2320, 656, 20309, 540, 1977, 23205, 16161, 692, 7072, 1384, 2026, 649, 5490, 883, 519, 1158, 540, 7900, 6575, 267, 621, 781, 1898, 547, 2263, 1585, 2686, 23929, 602, 13686, 938, 3309, 6561, 269, 769, 713, 1770, 267, 649, 786, 1445, 593, 4009, 15472, 267, 606, 2502, 543, 6422, 1106, 540, 12563, 7544, 602, 814, 2620, 5072, 538, 3013, 781, 1686, 269, 1635, 6313, 922, 8129, 267, 4720, 267, 2575, 267, 5515, 267, 7125, 267, 7802, 267, 543, 4207, 4644, 267, 649, 2832, 547, 1683, 513, 11455, 5133, 593, 1946, 4009, 15472, 3788, 513, 2442, 543, 19644, 2245, 2221, 780, 296, 269, 17959, 543, 3778, 540, 12384, 667, 3496, 1384, 288, 269, 7216, 23548, 25751, 281, 634, 9998, 6592, 8320, 540, 4009, 15472, 666, 581, 14360, 1394, 547, 476, 1704, 628, 2540, 4789, 950, 6917, 2950, 1131, 5531, 585, 1514, 2621, 1634, 607, 834, 2452, 6105, 1701, 1452, 13016, 1205, 2389, 690, 564, 1667, 1419, 12286, 2241, 1895, 23929, 5340, 547, 2661, 2575, 269, 1306, 2296, 13896, 28953, 547, 3345, 3013, 267, 789, 4547, 891, 5389, 2059, 267, 15268, 873, 547, 9290, 2199, 16919, 543, 7375, 269, 3683, 942, 267, 4009, 15472, 7960, 883, 513, 3982, 569, 1977, 1148, 1106, 6353, 676, 18512, 5322, 267, 6946, 3270, 267, 543, 2189, 6237, 7648, 780, 289, 269, 4886, 540, 7073, 12384, 667, 3496, 630, 4350, 271, 338, 6261, 6974, 2567, 4438, 519, 4279, 12870, 267, 1289, 518, 32008, 26396, 1305, 856, 547, 8190, 12955, 2757, 7544, 6163, 676, 10707, 2429, 519, 2136, 2276, 267, 25643, 1585, 6237, 23929, 267, 543, 3044, 1944, 741, 5515, 543, 7125, 269, 901, 4674, 3366, 547, 519, 5137, 540, 2413, 5375, 4009, 15472, 267, 799, 6591, 7839, 8560, 1282, 519, 2022, 8862, 310, 2862, 5736, 1813, 547, 2799, 16837, 942, 543, 1719, 538, 2146, 2238, 269, 4653, 267, 4009, 15472, 5170, 547, 8853, 7064, 547, 3906, 899, 11910, 518, 18350, 267, 799, 3895, 543, 10038, 519, 2534, 5001, 780, 2862, 269, 8535, 543, 681, 20263, 1384, 288, 269, 28042, 26505, 281, 12465, 4009, 7544, 26107, 3335, 4183, 535, 1497, 12454, 23964, 10483, 676, 13176, 267, 7333, 14765, 267, 8260, 22223, 267, 14440, 267, 610, 11063, 542, 269, 2637, 637, 2039, 689, 4544, 24124, 267, 2197, 267, 543, 29630, 1014, 7823, 2575, 547, 811, 4207, 1402, 267, 4224, 267, 18711, 267, 543, 5824, 18819, 269, 3509, 1289, 619, 849, 6451, 1899, 23929, 543, 15333, 23929, 883, 741, 27132, 267, 4946, 2417, 3099, 547, 519, 7574, 5251, 780, 289, 269, 7843, 17763, 543, 7033, 532, 281, 4107, 4009, 7544, 8964, 2226, 513, 11931, 32171, 1063, 476, 12893, 268, 9873, 20054, 829, 8792, 630, 321, 10975, 1070, 3850, 25249, 15792, 942, 547, 14892, 1950, 3268, 1247, 6967, 15222, 1242, 609, 741, 4891, 543, 8284, 5171, 269, 3958, 267, 1808, 24754, 3889, 971, 607, 530, 5306, 345, 267, 1079, 9912, 267, 1135, 6390, 267, 543, 695, 28984, 20690, 1585, 7544, 9696, 267, 3246, 1312, 17391, 9029, 543, 7293, 22122, 780, 7656, 269, 22955, 543, 595, 8712, 1384, 288, 269, 9978, 28073, 281, 2311, 922, 4295, 267, 4009, 15472, 3322, 2185, 15185, 11231, 538, 513, 4009, 5250, 945, 1685, 20291, 7575, 1759, 593, 5528, 2016, 676, 513, 1289, 518, 269, 5871, 5515, 1331, 1596, 523, 3547, 267, 10246, 332, 663, 525, 267, 13121, 18480, 267, 23638, 267, 10580, 267, 30617, 267, 6801, 267, 11800, 267, 543, 521, 1662, 904, 269, 3962, 4137, 5161, 540, 5730, 3723, 1740, 267, 7649, 4205, 267, 543, 10923, 17568, 1369, 519, 2949, 4009, 12122, 780, 289, 269, 11628, 9828, 281, 15332, 2596, 5322, 9114, 5051, 4101, 18902, 951, 5473, 2789, 2516, 540, 25249, 22589, 21800, 5515, 267, 4028, 13289, 1063, 1114, 5515, 267, 543, 1561, 6665, 1049, 2609, 8506, 8237, 29364, 3375, 6194, 1983, 269, 9457, 344, 540, 4359, 2553, 1419, 30193, 13680, 12439, 689, 6131, 15712, 10283, 538, 6896, 19194, 543, 23594, 4721, 780, 4353, 269, 1849, 5847, 543, 5900, 790, 1384, 288, 269, 8466, 12745, 281, 25214, 267, 4009, 25249, 20595, 4052, 960, 9660, 1500, 689, 14463, 17234, 971, 607, 3954, 574, 267, 10412, 267, 15144, 267, 610, 16463, 5078, 585, 24526, 2168, 2534, 269, 6468, 1810, 2740, 2407, 1236, 16630, 267, 1025, 11817, 267, 24203, 976, 267, 642, 3949, 267, 543, 13755, 26506, 267, 1247, 2367, 7328, 539, 1279, 27890, 267, 2458, 1563, 695, 16630, 267, 7080, 11367, 267, 543, 2647, 1532, 3234, 4364, 22970, 24188, 540, 22082, 2395, 780, 289, 269, 12634, 13910, 281, 27009, 267, 4352, 8076, 1974, 30933, 3788, 2442, 1851, 2757, 1235, 543, 1625, 1235, 267, 1034, 16351, 25249, 1904, 585, 6899, 2943, 31042, 8925, 6220, 6505, 4778, 267, 12050, 16493, 267, 543, 7362, 762, 2326, 20009, 547, 12675, 3350, 543, 1086, 17508, 269, 7457, 1559, 899, 1688, 12027, 2151, 12028, 267, 6512, 11446, 267, 25192, 267, 26797, 267, 11369, 956, 267, 543, 14446, 1039, 2123, 1166, 1515, 1510, 18731, 10342, 780, 309, 269, 7351, 12367, 543, 25684, 1384, 288, 269, 11154, 725, 543, 674, 4288, 281, 1677, 4482, 1007, 9458, 543, 2611, 4143, 267, 2413, 4009, 7544, 15731, 4603, 609, 4244, 12043, 971, 607, 5180, 15472, 630, 322, 537, 1255, 1739, 24441, 25287, 2762, 264, 543, 3575, 619, 630, 577, 4474, 4891, 4749, 1040, 5047, 267, 6220, 1875, 10177, 6463, 11964, 899, 12048, 5577, 267, 5907, 267, 610, 3486, 2575, 3826, 1127, 4195, 1272, 883, 588, 1446, 13467, 543, 22587, 547, 7820, 5481, 5275, 3209, 1399, 543, 4763, 780, 289, 269, 7991, 8490, 543, 4317, 19983, 281, 6736, 6639, 7760, 14123, 5691, 4296, 267, 4009, 15472, 3091, 9048, 2897, 762, 3255, 585, 3068, 3562, 19904, 5872, 267, 5698, 267, 543, 11505, 2679, 269, 19457, 18497, 2833, 998, 7544, 11942, 23274, 267, 6568, 267, 543, 8994, 2463, 1851, 2043, 689, 3309, 10080, 267, 7700, 9797, 547, 2790, 1072, 543, 2949, 8171, 780, 1103, 3932, 267, 4009, 15472, 4564, 513, 7524, 4082, 540, 1977, 18691, 14869, 539, 538, 1686, 267, 2528, 267, 543, 2245, 269, 3414, 21599, 538, 922, 9159, 18819, 267, 30811, 5322, 267, 543, 10477, 15312, 267, 649, 4126, 713, 1770, 26182, 4514, 7071, 585, 713, 15851, 1148, 1106, 543, 7512, 4797, 6278, 609, 922, 9687, 2853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 4898, 1141, 547, 1265, 519, 1655, 3781, 5158, 538, 2342, 267, 596, 723, 2097, 547, 519, 1318, 1747, 269, 2755, 930, 4872, 949, 2097, 909, 3533, 593, 707, 2247, 267, 1705, 596, 917, 602, 1082, 1655, 3781, 5158, 4872, 538, 2342, 616, 2901, 896, 3603, 610, 6456, 21889, 888, 2252, 513, 3787, 540, 3181, 879, 30987, 693, 3781, 1310, 3695, 519, 4872, 782, 1554, 568, 29886, 593, 707, 2247, 267, 2342, 786, 1118, 707, 16858, 2097, 3020, 269, 2755, 519, 4872, 616, 782, 827, 2025, 4884, 10945, 267, 3638, 3140, 21056, 267, 15882, 267, 26847, 267, 543, 1919, 547, 798, 267, 519, 25865, 16940, 10246, 903, 540, 3864, 4872, 543, 10195, 2709, 19957, 1187, 3842, 741, 9735, 3781, 5158, 563, 2171, 616, 6158, 476, 2190, 16923, 3781, 743, 889, 338, 267, 3014, 5749, 553, 267, 838, 553, 267, 1435, 338, 609, 1004, 18656, 3101, 538, 741, 19463, 581, 619, 267, 15483, 339, 5661, 267, 543, 14095, 7544, 19683, 563, 2467, 616, 7899, 540, 17822, 2066, 5195, 540, 5836, 609, 6105, 4881, 11489, 519, 2038, 6640, 3108, 543, 14297, 4872, 602, 2760, 3207, 269, 7937, 267, 543, 2342, 568, 1753, 547, 1082, 16678, 6532, 18353, 602, 2721, 519, 3781, 31450, 540, 782, 5686, 563, 15371, 596, 616, 4058, 513, 7552, 547, 661, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 13645, 19933, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 28477, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 10361, 543, 3026, 1188, 2201, 19223, 910, 4197, 631, 1926, 9253, 534, 5448, 692, 5970, 596, 2479, 4862, 540, 2960, 2860, 286, 898, 781, 835, 540, 519, 1034, 1455, 2010, 540, 11871, 602, 1004, 1205, 269, 1809, 1705, 596, 917, 602, 2860, 666, 849, 1020, 3330, 707, 5023, 286, 2334, 781, 1318, 256, 4653, 267, 649, 786, 1451, 827, 513, 1808, 2186, 540, 5023, 2860, 1572, 23872, 27441, 269, 5213, 1405, 5855, 282, 621, 781, 1360, 4686, 267, 855, 1577, 781, 1174, 1018, 621, 1797, 950, 2576, 4991, 713, 1826, 540, 2860, 780, 5331, 707, 5023, 607, 513, 11112, 2749, 1141, 1114, 2281, 723, 6009, 547, 798, 269, 2290, 1895, 540, 891, 2182, 11529, 2281, 616, 1572, 14264, 14231, 269, 4256, 2816, 568, 547, 3132, 513, 4158, 20119, 1634, 607, 14264, 514, 799, 3947, 2681, 547, 938, 2960, 267, 4064, 267, 543, 4552, 269, 6884, 267, 1813, 547, 1585, 4128, 899, 1932, 1454, 3141, 4598, 267, 1978, 4719, 2188, 267, 610, 1256, 1175, 3983, 9939, 267, 930, 540, 891, 14264, 14231, 1522, 1689, 543, 1332, 856, 540, 1852, 267, 3056, 547, 2960, 2860, 269, 901, 568, 1572, 27441, 269, 1879, 621, 4523, 538, 519, 2960, 267, 621, 781, 811, 5432, 543, 4443, 547, 5544, 2094, 649, 666, 1294, 2242, 593, 938, 2960, 269, 1717, 267, 3006, 267, 891, 1482, 14264, 14231, 616, 1336, 538, 824, 2694, 540, 938, 1560, 899, 938, 5023, 630, 18034, 593, 519, 8122, 540, 519, 5023, 1572, 519, 31370, 1040, 1656, 7058, 1018, 286, 1358, 666, 1831, 29406, 972, 1932, 256, 2913, 781, 1289, 713, 834, 17625, 27441, 3010, 3086, 267, 1946, 568, 5023, 27441, 865, 2189, 3379, 547, 2834, 2960, 2860, 286, 4270, 267, 1317, 621, 3085, 1405, 2049, 1419, 693, 782, 256, 8307, 1472, 476, 271, 269, 273, 260, 547, 476, 279, 260, 540, 782, 14264, 5557, 4755, 538, 519, 5023, 269, 5221, 540, 922, 678, 10846, 267, 3744, 1810, 1405, 917, 607, 1454, 827, 621, 607, 789, 798, 609, 2960, 27441, 269, 1280, 1383, 267, 7189, 5749, 1405, 2386, 4010, 1946, 930, 1004, 1205, 5023, 27441, 1247, 1866, 1810, 1405, 269, 2368, 1589, 621, 1223, 581, 5532, 547, 7296, 610, 4568, 4616, 267, 855, 5168, 2685, 267, 18864, 6487, 585, 2386, 269, 1924, 3173, 1832, 4974, 621, 547, 1265, 1732, 2081, 547, 2061, 267, 13209, 267, 543, 1521, 713, 16613, 2783, 780, 2080, 781, 1945, 4277, 281, 9894, 596, 917, 602, 6306, 689, 519, 5023, 267, 27441, 666, 2408, 538, 824, 2127, 1932, 286, 8786, 267, 16310, 519, 2960, 267, 27441, 666, 1860, 938, 4064, 610, 1106, 538, 4025, 1141, 972, 3884, 1405, 1022, 2960, 693, 782, 267, 971, 607, 538, 938, 5609, 4926, 610, 9667, 1062, 269, 1452, 616, 1572, 11940, 657, 531, 14264, 5557, 269, 3776, 5023, 27441, 3659, 8813, 883, 713, 7121, 780, 3383, 875, 1131, 4896, 917, 952, 789, 723, 5023, 27441, 286, 4279, 2243, 256, 4595, 2038, 7020, 568, 1898, 267, 1934, 616, 930, 1919, 547, 1413, 856, 585, 1384, 265, 589, 1007, 3109, 610, 6960, 15429, 593, 519, 8122, 540, 707, 5023, 602, 7012, 1406, 972, 1354, 454, 265, 15448, 538, 2450, 267, 3337, 267, 610, 2681, 540, 4540, 15649, 610, 9634, 454, 265, 28563, 5338, 267, 1928, 267, 610, 31018, 538, 519, 5023, 454, 265, 30975, 24948, 610, 6340, 454, 265, 700, 5366, 4522, 610, 7202, 999, 4743, 13943, 10393, 692, 2252, 596, 5469, 4376, 8966, 267, 2911, 547, 707, 4387, 610, 11290, 5612, 269, 5457, 267, 1373, 3222, 543, 21713, 2337, 2439, 21675, 8797, 267, 23262, 2356, 4894, 519, 10510, 998, 606, 5106, 3843, 741, 1655, 547, 1491, 856, 782, 4299, 8031, 269, 24658, 3797, 949, 849, 581, 1031, 1310, 6391, 547, 6146, 6967, 2860, 2281, 543, 2539, 519, 4960, 540, 24088, 269, 10251, 267, 2899, 519, 27441, 19082, 3564, 519, 5023, 3148, 630, 5471, 770, 553, 1242, 1070, 2126, 3587, 4101, 267, 543, 519, 23567, 11148, 547, 581, 4057, 269, 4475, 267, 6604, 543, 2038, 6304, 2611, 2629, 780, 1103, 5758, 267, 3314, 602, 4352, 5023, 27441, 568, 5393, 4686, 267, 1620, 621, 2488 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16823, 5665, 1949, 960, 609, 918, 30470, 267, 1519, 1082, 7657, 2293, 543, 8747, 540, 12380, 267, 645, 16256, 267, 9891, 529, 267, 8837, 267, 12794, 30884, 267, 1234, 716, 5308, 267, 4643, 476, 280, 267, 589, 4629, 306, 3194, 21952, 3590, 543, 13013, 2473, 269, 769, 1840, 267, 15692, 476, 273, 269, 273, 267, 717, 26214, 26260, 6324, 630, 5719, 15487, 918, 1626, 1070, 3687, 1460, 476, 274, 269, 272, 269, 273, 320, 267, 9891, 529, 476, 1015, 772, 274, 543, 16817, 476, 279, 269, 271, 269, 272, 267, 1927, 609, 824, 5665, 1949, 543, 930, 18960, 8747, 540, 891, 7396, 267, 616, 1634, 547, 960, 609, 1978, 7687, 563, 13640, 822, 23709, 1436, 1489, 585, 1978, 3457, 568, 2139, 585, 12380, 267, 7046, 7034, 291, 267, 5131, 7034, 291, 267, 4880, 7034, 291, 267, 4643, 476, 280, 543, 8837, 14538, 1210, 519, 12484, 22473, 16286, 269, 901, 7028, 513, 1612, 822, 23709, 25494, 3556, 267, 513, 1612, 822, 23709, 12210, 594, 23860, 17120, 267, 513, 17891, 3926, 585, 14577, 16823, 3965, 6165, 267, 543, 513, 966, 16598, 12449, 8818, 1210, 9501, 21201, 610, 966, 300, 2264, 10256, 563, 288, 1164, 7400, 7650, 540, 519, 918, 30470, 270, 304, 4932, 308, 5691, 1436, 1604, 281, 274, 454, 3528, 3294, 267, 918, 30470, 1281, 711, 1685, 1022, 900, 1637, 269, 5502, 267, 621, 27875, 519, 1315, 22563, 31574, 341, 332, 8818, 267, 799, 513, 3755, 10628, 3984, 666, 1287, 946, 547, 912, 268, 5590, 909, 519, 16823, 966, 300, 781, 2232, 2230, 269, 634, 3984, 1590, 849, 3761, 513, 6109, 2264, 3239, 630, 17141, 513, 2688, 19739, 5308, 950, 900, 6819, 7193, 338, 264, 602, 519, 16823, 666, 946, 547, 18849, 560, 1905, 883, 922, 1292, 13013, 563, 268, 16376, 519, 16823, 20533, 594, 23860, 563, 268, 10934, 519, 16823, 781, 3381, 4159, 1394, 5196, 519, 3984, 563, 4002, 12380, 267, 1627, 4932, 308, 8747, 476, 271, 269, 1015, 269, 272, 543, 2663, 568, 835, 971, 3755, 10628, 3984, 269, 1627, 4932, 308, 3096, 918, 30470, 950, 2139, 547, 5691, 1125, 14538, 693, 2282, 28921, 11250, 267, 855, 6382, 8813, 1394, 547, 3301, 26209, 900, 1637, 563, 12421, 958, 267, 918, 30470, 3096, 7256, 10292, 5308, 607, 606, 1930, 2707, 6388, 540, 513, 476, 1626, 19229, 1535, 10436, 19739, 5308, 563, 298, 30470, 781, 2694, 616, 13931, 896, 1585, 717, 26214, 27121, 912, 268, 918, 30470, 17830, 9074, 281, 717, 12195, 642, 273, 454, 268, 918, 30470, 3593, 9074, 281, 9437, 12195, 642, 273, 454, 268, 1627, 4932, 308, 5691, 17765, 4295, 5399, 630, 12221, 336, 655, 340, 18502, 264, 543, 1627, 4932, 308, 7193, 1062, 900, 15975, 281, 9437, 12195, 454, 268, 12380, 3593, 7154, 1627, 4932, 308, 900, 15975, 281, 717, 12195, 454, 268, 19739, 5308, 6119, 630, 321, 3930, 12500, 514, 267, 642, 326, 629, 3930, 12500, 514, 543, 642, 326, 629, 3930, 2275, 597, 6350, 12500, 514, 2567, 9437, 12195, 642, 273, 610, 2663, 454, 288, 12858, 918, 2032, 3459, 519, 1646, 540, 918, 30470, 693, 1627, 636, 3757, 564, 267, 513, 2029, 23492, 2754, 602, 729, 9715, 676, 4414, 24051, 538, 476, 1220, 279, 563, 298, 30470, 729, 24673, 883, 519, 12380, 17830, 1292, 1467, 538, 17830, 4528, 476, 273, 269, 277, 269, 736, 267, 799, 729, 5950, 593, 476, 276, 5988, 476, 1220, 278, 563, 298, 30470, 568, 9738, 676, 14529, 23383, 12844, 345, 7236, 563, 20877, 673, 2359, 2645, 454, 12221, 341, 7398, 7028, 918, 30470, 454, 268, 13690, 14024, 1107, 1357, 2861, 5691, 1436, 2359, 1907, 585, 918, 30470, 454, 268, 14044, 10724, 15440, 1107, 7028, 2870, 267, 11049, 267, 4358, 267, 543, 16069, 918, 30470, 2861, 5691, 6191, 267, 607, 1134, 607, 2661, 610, 4411, 8749, 7146, 1673, 1886, 9194, 540, 966, 16039, 1063, 14747, 563, 268, 1160, 343, 332, 2135, 14044, 5113, 1107, 606, 1930, 21299, 5691, 1436, 2359, 10189, 1519, 918, 30470, 543, 7046, 309, 313, 269, 898, 814, 513, 11953, 2173, 13926, 3888, 518, 267, 513, 1357, 2861, 6552, 2359, 717, 21397, 267, 543, 18593, 5010, 1489, 563, 268, 7046, 304, 305, 300, 1107, 2359, 3760, 585, 5883, 26945, 1239, 4099, 1102, 2858, 23461, 563, 268, 717, 301, 26041, 13340, 525, 1107, 717, 333, 727, 8818, 585, 5883, 5391, 341, 7398, 14538, 593, 12380, 563, 268, 522, 309, 7398, 1107, 1930, 21299, 5691, 1436, 2359, 1907, 585, 918, 30470, 3710, 593, 1283, 540, 5391, 341, 7398, 454, 347, 21581, 3556, 1475, 290, 597, 6350, 14160, 31270, 476, 276, 4510, 277, 623, 5746, 966, 16598, 3556, 267, 546, 16244, 966, 16598, 3556, 609, 4425, 577, 338, 966, 2464, 288, 24909, 267, 610, 5164, 326, 559, 607, 513, 5691, 476, 274, 291, 29453, 2008, 19064, 5746, 1475, 328, 24496, 293, 311, 3984, 623, 5746, 8115, 543, 623, 2862, 311, 274, 623, 5746, 547, 4959, 288, 8115, 2008, 347, 19152, 3926, 1475, 4916, 270, 273, 31040, 543, 6206, 4580, 2008, 16085, 895, 3556, 1475, 306, 895, 2349, 2120, 476, 1626, 267, 661, 10064, 2177, 296, 304, 23866, 303, 5746, 11536, 15389, 271, 267, 3400, 6665, 8299, 14647, 717, 293, 272, 267, 11483, 275, 2537, 272, 288, 15095, 2008, 347, 292, 22313, 8416, 3556, 1475, 4456, 291, 2549, 8064, 290, 280, 3583, 288, 630, 8649, 278, 4200, 271, 1070, 661, 1911, 271, 630, 4504, 601, 476, 279, 1839, 2412, 4932, 267, 476, 279, 1839, 10463, 299, 267, 476, 279, 1839, 4510, 24774, 1070, 17252, 1220, 271, 267, 543, 7464, 974, 330, 21512, 299, 279, 1724, 280, 2008, 347, 19400, 27594, 22245, 1475, 4504, 601, 476, 30697, 271, 2464, 289, 610, 25153, 10384, 2008, 31340, 4456, 1475, 24992, 476, 2004, 15406, 543, 476, 3953, 19505, 2008, 347, 9573, 308, 1475, 272, 1107, 476, 8182, 8713, 5825, 2008, 268, 13891, 1014, 476, 276, 269, 271, 543, 1657, 454, 268, 22918, 5622, 12380, 454, 268, 10668, 657, 2861, 14778, 454, 268, 4414, 24051, 27617, 12380, 630, 305, 4047, 299, 264, 476, 276, 269, 275, 543, 1657, 454, 268, 590, 27516, 12380, 27617, 18218, 630, 20784, 2464, 264, 476, 1556, 9501, 272, 543, 1657, 454, 268, 29974, 31583, 476, 1015, 269, 6860, 700, 4811, 543, 1657, 454, 268, 1133, 643, 1549, 23654, 18218, 0, 9558, 819, 19019, 6651, 910, 476, 9610, 10619, 454, 5649, 707, 1433, 9170, 267, 593, 1022, 3926, 267, 998, 4414, 306, 3559, 325, 781, 6531, 1759, 552, 5649, 518, 563, 19445, 11872, 543, 5530, 13088, 454, 289, 16742, 2987, 1353, 2645, 1331, 8711, 267, 1353, 10274, 267, 14391, 725, 267, 8847, 267, 15460, 267, 543, 5698, 563, 5970, 519, 1433, 1224, 547, 596, 2336, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 1031, 22356, 563, 21206, 3883, 19672, 454, 763, 21846, 19019, 6651, 2488, 1647, 268, 543, 1164, 17469, 3610, 4277, 543, 2502, 2238, 543, 2200, 547, 948, 1053, 3914, 741, 5912, 3853, 269, 16497, 1331, 7317, 2238, 1210, 519, 2146, 267, 1920, 267, 543, 5769, 2200, 547, 4125, 1053, 538, 1483, 8996, 3871, 269, 634, 6651, 20383, 6044, 2047, 609, 519, 476, 6872, 21846, 10341, 4857, 609, 519, 21846, 12020, 22802, 4149, 324, 1718, 9990, 630, 9143, 296, 268, 273, 264, 610, 998, 1022, 5912, 4879, 563, 9743, 2315, 531, 2238, 616, 6896, 538, 519, 3376, 2127, 540, 11554, 267, 4804, 267, 543, 12389, 543, 1331, 5216, 3584, 1369, 891, 2127, 734, 28236, 5532, 547, 519, 5871, 11759, 3557, 11621, 269, 1452, 6402, 1683, 7855, 513, 1797, 540, 8236, 4441, 4143, 547, 519, 1153, 3562, 14194, 738, 2000, 1516, 5912, 1184, 1247, 8220, 1893, 6575, 543, 6128, 4441, 547, 1483, 1272, 269, 21846, 14292, 2238, 616, 6896, 607, 5205, 912, 22512, 518, 14893, 543, 12020, 454, 10387, 7877, 11310, 543, 10341, 454, 23114, 14559, 5004, 454, 26322, 12833, 9876, 618, 543, 26402, 454, 16085, 1245, 1635, 1475, 24165, 268, 3633, 14539, 267, 5549, 8198, 31871, 540, 9664, 1475, 10755, 347, 0, 2791, 666, 1451, 827, 12110, 9972, 1416, 543, 666, 1265, 1416, 4758, 2472, 267, 9659, 11226, 267, 11361, 1416, 2472, 267, 8808, 1753, 7727, 267, 1753, 2564, 7727, 1299, 3937, 602, 786, 948, 6023, 1022, 3390, 609, 693, 1753, 1416, 269, 1656, 952, 596, 723, 513, 2648, 835, 602, 949, 991, 13930, 538, 519, 2282, 2104, 267, 596, 723, 1336, 513, 3135, 609, 1344, 547, 948, 596, 1376, 1620, 875, 713, 2068, 5540, 596, 607, 519, 27877, 543, 1018, 2200, 616, 2139, 585, 707, 2648, 3283, 689, 1376, 547, 9096, 563, 5719, 10879, 568, 519, 2530, 540, 5042, 8647, 1765, 628, 9722, 267, 19551, 267, 543, 7744, 11652, 8965, 5759, 547, 971, 606, 6708, 602, 621, 7679, 31013, 609, 513, 1268, 781, 3232, 1272, 543, 2238, 269, 1452, 3252, 1331, 3965, 267, 1893, 1983, 267, 3308, 8226, 267, 1966, 6061, 267, 1582, 31193, 267, 543, 519, 2702, 547, 1445, 543, 2628, 3007, 269, 2368, 1004, 609, 12110, 3112, 1852, 741, 4664, 267, 543, 741, 14789, 949, 1689, 269, 1546, 10879, 9832, 538, 10335, 689, 519, 7646, 652, 3942, 267, 950, 621, 568, 1175, 4098, 547, 1860, 513, 1268, 781, 8647, 267, 547, 519, 1034, 4049, 3942, 267, 950, 519, 1268, 1590, 4096, 4625, 593, 1866, 585, 2596, 2238, 540, 2713, 269, 1546, 10879, 9639, 2154, 2027, 2472, 547, 2149, 2933, 543, 519, 1268, 2921, 1416, 540, 741, 2115, 563, 29819, 543, 2589, 540, 12110, 1267, 950, 2899, 268, 11794, 11409, 630, 1676, 557, 2281, 264, 538, 519, 2634, 3247, 2324, 267, 6336, 4296, 609, 824, 2634, 2281, 267, 543, 5884, 269, 2755, 3025, 19380, 930, 11409, 607, 789, 2085, 267, 1004, 609, 12110, 1995, 2484, 3152, 2530, 563, 4407, 12110, 568, 811, 1455, 607, 1004, 1332, 4587, 630, 1575, 547, 3368, 540, 782, 1004, 2085, 476, 5952, 610, 4587, 949, 723, 930, 1106, 540, 12110, 1070, 621, 568, 711, 513, 3339, 851, 540, 10172, 269, 3509, 1004, 2661, 883, 741, 476, 3445, 338, 543, 3564, 1510, 1022, 4191, 540, 12110, 269, 2290, 1826, 540, 12110, 267, 4395, 582, 32294, 4713, 267, 568, 811, 1455, 538, 1647, 27070, 982, 4587, 4079, 563, 763, 3123, 540, 12110, 666, 4268, 267, 4470, 593, 519, 2010, 540, 2634, 2242, 602, 949, 581, 2921, 1747, 269, 12216, 781, 2068, 568, 519, 1034, 1455, 2014, 540, 12110, 538, 4587, 4079, 269, 4033, 632, 618, 5362, 1331, 10197, 344, 1560, 12110, 267, 4395, 582, 32294, 4713, 267, 543, 15466, 12110, 269, 898, 568, 1455, 585, 1004, 547, 723, 6404, 12110, 12544, 4999, 540, 1079, 610, 811, 2010, 540, 12110, 269, 1280, 1383, 267, 930, 1004, 723, 1312, 12216, 781, 2068, 543, 15466, 12110, 563, 2414, 13209, 12110, 267, 7189, 1101, 2708, 2436, 513, 1268, 814, 606, 5817, 1521, 762, 2783, 971, 607, 9402, 11178, 1599, 267, 3339, 2604, 8652, 21306, 639, 267, 610, 513, 6171, 10638, 602, 949, 9305, 547, 5042, 7965, 269, 7216, 7020, 540, 2589, 568, 1271, 267, 607, 930, 3123, 666, 581, 5701, 269, 769, 1082, 2665, 267, 519, 1808, 1826, 540, 12110, 513, 1268, 814, 949, 711, 581, 9672, 2394, 1310, 519, 1268, 814, 5747, 543, 519, 2634, 568, 8947, 563, 2171, 4076, 782, 16618, 513, 2012, 267, 1141, 649, 2322, 938, 10569, 267, 610, 952, 649, 19526, 519, 4395, 7450, 269, 898, 779, 3339, 547, 7340, 1919, 2899, 538, 513, 1247, 269, 1809, 3978, 3965, 2042, 1118, 621, 2182, 547, 798, 4948, 1919, 269, 1280, 1326, 1154, 875, 547, 1118, 1689, 267, 946, 519, 15146, 267, 610, 1265, 707, 1259, 1753, 949, 581, 4191, 540, 513, 811, 3978, 3965, 1966, 563, 2690, 930, 4587, 1004, 267, 3965, 2042, 616, 513, 1129, 540, 7646, 5042, 15717, 267, 12216, 779, 2068, 267, 610, 513, 1644, 12110, 269, 4658, 945, 616, 14126, 827, 3965, 2042, 1058, 1294, 513, 4387, 269, 20050, 602, 621, 1522, 581, 942, 547, 2911, 547, 513, 4387, 1331, 912, 10144, 609, 3965, 20286, 1058, 1118, 513, 1246, 5346, 13393, 547, 2638, 741, 3965, 1310, 476, 277, 3275, 547, 513, 1032, 269, 1358, 666, 2307, 513, 1920, 4759, 267, 3659, 267, 610, 519, 4387, 779, 5604, 547, 7618, 873, 952, 789, 2461, 14126, 789, 3580, 7340, 269, 1656, 519, 27877, 666, 454, 4537, 641, 5516, 326, 1853, 303, 20094, 2593, 585, 9659, 11226, 267, 11361, 1416, 2472, 267, 538, 1753, 8808, 7727, 267, 28876, 267, 19703, 543, 8023, 27022, 267, 1753, 2564, 7727, 543, 3937, 563, 1607, 3135, 2488, 9862, 27022, 267, 4217, 633, 3457, 267, 13344, 585, 519, 11361, 267, 20650, 267, 9659, 11226, 267, 2472, 585, 519, 27656, 11474, 267, 543, 6266, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1452, 9118, 18784, 31276, 10008, 1683, 606, 11999, 2627, 1858, 585, 5135, 543, 3327, 8166, 5385, 1063, 938, 18072, 543, 519, 2011, 649, 13236, 269, 27488, 7575, 689, 519, 31276, 10008, 883, 2699, 1973, 2281, 267, 1247, 3653, 995, 3327, 8166, 608, 1080, 519, 6587, 1259, 269, 2060, 1169, 7362, 649, 1491, 267, 6634, 540, 971, 8852, 2049, 8195, 267, 3850, 721, 547, 2661, 543, 1847, 780, 3086, 4952, 952, 1945, 7679, 31013, 609, 713, 10347, 1184, 286, 17148, 7133, 5761, 1599, 666, 2014, 7244, 7965, 543, 11874, 1764, 835, 779, 2298, 540, 1272, 269, 2334, 6770, 721, 547, 938, 5869, 2221, 910, 3039, 7401, 256, 14216, 1882, 689, 519, 796, 31038, 1242, 3762, 540, 6682, 749, 807, 5609, 18424, 2371, 267, 621, 814, 1279, 1044, 9976, 538, 1585, 4529, 585, 922, 3875, 1072, 2640, 269, 1809, 1018, 2306, 3039, 7401, 2027, 950, 621, 2501, 547, 938, 9641, 286, 2913, 781, 1265, 856, 2439, 21691, 2988, 1156, 11169, 616, 3532, 14434, 6923, 1459, 538, 1082, 5613, 267, 5388, 267, 543, 10425, 267, 1519, 3039, 7401, 269, 1358, 2149, 938, 1560, 1996, 5739, 1863, 18119, 267, 4227, 6553, 543, 5009, 2949, 1434, 1072, 269, 7324, 782, 2010, 540, 7401, 267, 3039, 7401, 3568, 519, 5207, 5834, 540, 25168, 1156, 11169, 267, 5097, 538, 519, 1106, 540, 524, 622, 577, 1231, 269, 5525, 2303, 602, 891, 14984, 6878, 4865, 4761, 28967, 24031, 3601, 267, 1818, 873, 5732, 6225, 8069, 1996, 10194, 5563, 899, 16568, 17336, 268, 273, 267, 3743, 585, 5046, 268, 866, 780, 11101, 267, 1382, 6920, 602, 3039, 7401, 25168, 1156, 11169, 6542, 11141, 4550, 13611, 2360, 676, 1139, 7675, 1808, 6675, 3238, 538, 24254, 6553, 1369, 938, 1560, 269, 4595, 5312, 6553, 1419, 896, 15533, 1082, 17422, 3676, 267, 10438, 3039, 7401, 5781, 1223, 5351, 538, 4509, 6099, 5761, 8647, 269, 3958, 267, 3039, 7401, 15225, 2178, 15934, 4162, 602, 16102, 5761, 8031, 689, 3441, 3361, 676, 2825, 14107, 267, 7551, 7700, 547, 1732, 7929, 1072, 780, 3719, 7227, 267, 972, 781, 811, 256, 14755, 6830, 4328, 938, 23640, 1996, 5007, 6937, 543, 28530, 6553, 267, 3039, 7401, 25168, 1156, 11169, 1397, 9153, 538, 7393, 938, 17916, 4761, 3210, 1932, 269, 589, 7347, 4761, 1062, 4249, 513, 2565, 1909, 538, 21108, 721, 1996, 32415, 13596, 1247, 5329, 4835, 20817, 693, 15922, 269, 4935, 267, 6220, 3039, 7401, 883, 938, 3232, 6296, 28382, 938, 1560, 609, 3063, 24915, 2556, 547, 2226, 8445, 2773, 543, 535, 754, 1055, 10108, 3927, 780, 3383, 267, 1985, 942, 596, 1745, 899, 521, 6235, 593, 1945, 3636, 543, 4313, 532, 267, 2015, 28823, 3054, 513, 25695, 7484, 540, 3039, 7401, 269, 3502, 1152, 1281, 621, 6492, 17175, 267, 855, 621, 849, 24502, 3833, 513, 24362, 950, 621, 2501, 547, 5885, 938, 7929, 1072, 256, 5457, 267, 2921, 1416, 540, 6000, 3322, 14637, 1312, 2247, 543, 1560, 282, 3976, 267, 30015, 6000, 609, 1702, 827, 2067, 13300, 899, 3039, 7401, 5713, 607, 1776, 1900, 2509, 1582, 268, 11391, 1077, 618, 269, 8414, 521, 6235, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 18043, 5623, 540, 519, 15783, 2422, 540, 5682, 21281, 2717, 2988, 1156, 11169, 538, 519, 5004, 540, 5046, 268, 866, 454, 16675, 7401, 568, 3812, 689, 6682, 749, 807, 5609, 18424, 630, 299, 4700, 19512, 543, 3762, 602, 723, 711, 8854, 998, 519, 16617, 543, 530, 2416, 532, 3157, 1031, 547, 3132, 3109, 543, 522, 565, 784, 29225, 269, 898, 729, 12090, 538, 3624, 267, 855, 922, 14713, 543, 2504, 723, 9450, 547, 824, 8109, 7489, 2477, 269, 11153, 25168, 1156, 4301, 7135, 267, 1519, 7657, 663, 2723, 338, 267, 32064, 11169, 267, 32064, 6950, 267, 543, 4307, 4301, 7408, 267, 616, 1336, 538, 3039, 7401, 543, 949, 13822, 3152, 982, 476, 1789, 260, 540, 519, 3819, 2597, 269, 4469, 822, 517, 11169, 267, 2523, 524, 622, 577, 1231, 267, 2099, 519, 5354, 540, 3039, 7401, 25168, 1156, 11169, 269, 5682, 7401, 25168, 1156, 4301, 7135, 723, 1044, 4080, 547, 24705, 1896, 1072, 2640, 269, 901, 2689, 6257, 519, 1761, 946, 540, 3039, 7401, 25168, 1156, 11169, 538, 519, 2359, 540, 11452, 2068, 476, 1001, 280, 630, 26542, 268, 866, 1040, 634, 6375, 558, 617, 17419, 267, 27611, 267, 15934, 267, 543, 4550, 13611, 2360, 540, 3039, 7401, 25168, 1156, 11169, 723, 849, 1044, 2808, 538, 713, 2689, 269, 769, 740, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4910, 21732, 25665, 257, 607, 851, 540, 834, 25503, 1315, 25665, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4144, 28549, 15907, 519, 2622, 692, 8893, 476, 275, 281, 5548, 5534, 16639, 540, 4144, 28549, 692, 8702, 1394, 267, 1762, 17701, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 1776, 11477, 7045, 607, 649, 2263, 930, 2757, 8286, 10150, 1282, 4144, 28549, 267, 835, 540, 519, 7887, 543, 6505, 652, 14812, 538, 3127, 543, 1851, 4095, 2950, 5001, 269, 3807, 899, 875, 1114, 4529, 8661, 741, 2189, 5389, 543, 9821, 267, 789, 849, 723, 741, 1378, 10058, 32345, 602, 7001, 519, 9759, 540, 741, 15976, 269, 2913, 781, 4685, 883, 713, 8949, 3460, 543, 3605, 1018, 2306, 4144, 28549, 971, 513, 32727, 696, 1190, 11812, 2439, 291, 12685, 8932, 267, 849, 1634, 607, 12213, 822, 8932, 267, 568, 2442, 569, 5219, 547, 607, 519, 16635, 540, 28691, 269, 898, 23327, 519, 11802, 540, 1769, 936, 14334, 267, 1434, 936, 9409, 267, 543, 1702, 936, 22293, 269, 19198, 8661, 676, 8654, 3282, 22311, 267, 16802, 532, 32030, 267, 27300, 13344, 267, 9849, 1007, 9660, 267, 7718, 908, 5321, 267, 543, 8600, 632, 937, 762, 905, 6814, 269, 24935, 540, 799, 267, 1577, 721, 6338, 596, 547, 5216, 5023, 22476, 13000, 5260, 10696, 2066, 1585, 17334, 540, 4144, 28549, 269, 3213, 4532, 2064, 286, 1284, 1589, 711, 256, 9462, 502, 489, 692, 301, 697, 476, 272, 281, 7937, 267, 8409, 11146, 569, 4678, 7719, 2336, 29432, 4131, 781, 14736, 1055, 938, 8819, 1258, 5669, 4663, 609, 513, 8670, 602, 1522, 3280, 5432, 1765, 26245, 7719, 256, 1403, 596, 11291, 938, 4901, 827, 12390, 4157, 27204, 538, 513, 3105, 3992, 630, 331, 11343, 11992, 538, 707, 1837, 1070, 596, 949, 3314, 891, 17705, 15837, 3443, 31817, 269, 1809, 1705, 596, 917, 602, 12075, 849, 5965, 741, 4528, 540, 4234, 7719, 1282, 4144, 28549, 286, 17214, 5097, 689, 27054, 4765, 12277, 267, 19637, 267, 14546, 267, 543, 11922, 267, 891, 5743, 6853, 25394, 616, 13719, 1922, 3072, 2394, 11344, 6960, 267, 1287, 6039, 3905, 609, 669, 583, 7958, 610, 27156, 269, 962, 636, 2439, 3086, 4952, 11981, 891, 17175, 4234, 7719, 1247, 11303, 676, 6068, 3283, 267, 4687, 2984, 543, 17409, 269, 6496, 333, 1405, 602, 1175, 3636, 707, 2295, 286, 901, 1995, 19141, 519, 7772, 748, 5790, 540, 1927, 1145, 602, 15449, 919, 1169, 7944, 540, 5321, 1282, 4144, 28549, 269, 1306, 3885, 5531, 547, 556, 329, 4069, 538, 519, 13037, 781, 4644, 267, 1426, 3587, 606, 1898, 5420, 998, 799, 8823, 616, 2813, 543, 19644, 585, 1296, 547, 2097, 269, 1656, 7058, 1018, 286, 1703, 781, 811, 1141, 602, 3357, 689, 2439, 301, 697, 476, 273, 281, 21690, 6164, 338, 1765, 306, 18860, 1146, 12011, 582, 13910, 2336, 5785, 15365, 4002, 519, 2034, 3781, 540, 4144, 28549, 267, 1004, 32696, 538, 1945, 5963, 2027, 1765, 338, 18860, 1146, 344, 3999, 256, 1452, 2620, 1922, 3072, 14859, 22756, 4904, 609, 4829, 25888, 610, 8169, 731, 616, 11613, 22023, 626, 1043, 267, 2523, 950, 20057, 1194, 609, 32314, 4006, 269, 4014, 3335, 2404, 609, 12390, 4157, 27204, 267, 647, 325, 1146, 344, 3999, 814, 1831, 5051, 2442, 1282, 4144, 28549, 607, 1134, 269, 4208, 267, 596, 2307, 286, 4270, 267, 1317, 945, 666, 5706, 891, 2770, 27918, 11084, 540, 8788, 865, 8898, 538, 6653, 21360, 286, 3502, 721, 2439, 2026, 596, 1491, 513, 11116, 883, 891, 31676, 1642, 2074, 267, 1450, 3054, 547, 9784, 519, 4763, 540, 2686, 5385, 269, 14080, 11040, 899, 4144, 28549, 2709, 3255, 585, 1114, 2950, 547, 1451, 689, 835, 1776, 267, 2671, 2853, 267, 543, 6038, 10802, 938, 2518, 6561, 269, 3767, 1780, 1346, 24494, 22556, 713, 1259, 267, 5225, 2439, 263, 9616, 547, 7855, 281, 18461, 1863, 547, 7696, 2085, 29003, 5717, 827, 2686, 18236, 267, 3261, 566, 267, 543, 2463, 24355, 301, 697, 476, 274, 281, 1290, 3228, 28690, 1765, 298, 1872, 601, 589, 11445, 1080, 2336, 5785, 19030, 3528, 1631, 267, 596, 1590, 581, 11842, 952, 972, 781, 4376, 3564, 22304, 3536, 1282, 4144, 28549, 269, 1937, 787, 711, 256, 2201, 519, 3791, 3781, 267, 649, 7237, 737, 1872, 601, 267, 513, 22101, 518, 1961, 1500, 609, 30653, 610, 12277, 267, 5798, 267, 8645, 267, 543, 3006, 5613, 610, 5388, 269, 645, 8898, 547, 19870, 267, 621, 5713, 607, 513, 4313, 532, 2427, 8670, 3501, 585, 1022, 18241, 11018, 780, 13914, 540, 737, 1872, 601, 607, 513, 2462, 29751, 689, 9835, 2742, 1765, 24711, 344, 267, 27357, 267, 543, 19315, 27940, 1606, 15384, 325, 3539, 269, 4706, 4527, 693, 519, 4144, 28549, 3349, 19752, 2648, 267, 29454, 267, 543, 14246, 1765, 11161, 7184, 11251, 1369, 22686, 7554, 269, 5994, 9361, 1524, 609, 707, 6905, 1920, 1310, 513, 1279, 1554, 540, 7908, 8481, 267, 20857, 883, 513, 2848, 5446, 6676, 540, 737, 1872, 601, 267, 543, 4687, 8941, 540, 2025, 2053, 269, 16319, 9589, 267, 3085, 1405, 621, 2496, 301, 697, 476, 275, 281, 20405, 4211, 10541, 6153, 1145, 1765, 2419, 12040, 5384, 2336, 14343, 13430, 7476, 4712, 585, 930, 3500, 2275, 10541, 9059, 593, 519, 8772, 3781, 1572, 26601, 550, 256, 20530, 11395, 569, 5423, 676, 9484, 14551, 328, 7642, 855, 17947, 676, 1082, 1866, 267, 713, 12403, 1138, 11302, 16074, 543, 568, 10150, 1282, 1744, 13741, 520, 6980, 269, 13268, 539, 609, 5779, 267, 10365, 267, 24061, 267, 12277, 267, 543, 824, 19787, 267, 26601, 550, 2112, 916, 1312, 11350, 625, 543, 12271, 7567, 780, 5331, 24971, 909, 547, 922, 21915, 531, 1944, 24710, 3649, 1111, 532, 998, 707, 1753, 267, 22348, 3025, 602, 5103, 646, 8157, 16131, 543, 9118, 19240, 267, 1920, 3788, 3844, 547, 938, 2729, 269, 13518, 899, 669, 12040, 781, 7041, 1184, 267, 2679, 2178, 3347, 3217, 9639, 267, 1416, 267, 543, 11007, 269, 14348, 333, 1405, 596, 3858, 2496, 301, 697, 476, 276, 281, 4858, 3660, 25925, 1765, 4504, 18166, 5668, 1695, 2336, 14343, 21387, 289, 1348, 18798, 26595, 256, 9373, 1672, 1695, 267, 519, 18991, 2909, 3660, 3138, 2378, 740, 1819, 676, 782, 269, 2037, 878, 1117, 609, 5798, 543, 1419, 1350, 18968, 609, 19542, 267, 1672, 1695, 1178, 806, 7515, 593, 590, 30117, 543, 824, 6014, 14812, 267, 1519, 4144, 28549, 269, 2755, 8385, 689, 3504, 5527, 267, 713, 3694, 6591, 8560, 1851, 7642, 543, 2968, 513, 20013, 538, 741, 10820, 780, 30706, 6836, 17444, 6306, 2571, 22204, 540, 28448, 19323, 1672, 1695, 286, 2107, 5310, 1019, 6137, 873, 883, 29549, 27130, 610, 1210, 873, 607, 26889, 13279, 286, 6270, 2241, 5418, 9778, 7618, 721, 540, 1272, 781, 3675, 903, 543, 12927, 4296, 1063, 2043, 269, 3619, 6619, 267, 2285, 621, 513, 2119, 2439, 301, 697, 476, 277, 281, 31201, 344, 1473, 592, 10885, 1765, 10267, 3150, 2349, 842, 8240, 23894, 517, 2336, 24801, 14945, 5141, 846, 707, 4064, 543, 19424, 513, 6094, 1212, 701, 28077, 609, 6063, 557, 1399, 10381, 11423, 267, 9900, 1094, 583, 2946, 539, 2394, 11344, 19870, 269, 8080, 547, 519, 1158, 540, 1025, 842, 8240, 256, 20323, 688, 4979, 689, 8109, 2342, 267, 891, 17175, 1612, 26118, 1336, 741, 1747, 9624, 4144, 28549, 7908, 8481, 1932, 269, 4256, 11029, 29284, 1264, 906, 2927, 640, 735, 4925, 610, 10217, 5671, 26072, 4898, 2685, 780, 7922, 842, 8240, 2099, 17545, 1765, 332, 1276, 899, 875, 3309, 2950, 32069, 11100, 1282, 18371, 2621, 269, 6787, 6039, 6653, 610, 29902, 267, 1025, 842, 8240, 8597, 547, 8795, 5493, 22863, 267, 11744, 13784, 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 ]
[ 568, 7915, 538, 9111, 2016, 602, 621, 568, 513, 2101, 9107, 1062, 269, 667, 22844, 4967, 602, 519, 9291, 540, 7126, 2488, 20038, 267, 585, 2043, 543, 18441, 824, 982, 1507, 2829, 267, 602, 1223, 581, 1031, 547, 4831, 1713, 28407, 540, 5354, 4341, 269, 2549, 2056, 519, 9139, 568, 12777, 7543, 2016, 519, 4170, 538, 9137, 966, 269, 3689, 267, 2549, 754, 906, 666, 1152, 581, 6069, 676, 1079, 22188, 8917, 538, 1312, 519, 5600, 543, 14130, 610, 676, 13170, 540, 1079, 22188, 540, 1533, 9777, 2137, 538, 15007, 269, 3973, 3731, 2305, 666, 581, 2016, 676, 13170, 540, 1312, 519, 5600, 543, 14130, 610, 1614, 21144, 2195, 540, 1533, 9777, 2137, 269, 769, 1840, 267, 9137, 966, 2829, 267, 968, 5591, 1533, 267, 1510, 922, 9844, 267, 4927, 581, 27226, 540, 922, 3160, 27049, 538, 519, 14130, 1848, 667, 22844, 630, 1220, 273, 267, 476, 14065, 268, 14341, 264, 4967, 602, 22853, 1223, 581, 17808, 676, 281, 774, 8812, 21144, 6845, 2209, 689, 519, 11157, 8696, 10545, 2829, 609, 476, 278, 269, 279, 2600, 540, 519, 772, 2529, 269, 2551, 269, 1403, 621, 5293, 519, 14130, 267, 1287, 24369, 1533, 9777, 2137, 538, 519, 10545, 2829, 267, 476, 274, 269, 280, 2600, 540, 519, 772, 2529, 2551, 267, 1223, 3625, 3731, 2305, 269, 589, 1876, 1223, 581, 5293, 538, 519, 14130, 676, 15823, 14633, 6845, 2209, 689, 8938, 29350, 2829, 267, 476, 1240, 2600, 540, 519, 772, 2529, 269, 2551, 269, 667, 22844, 779, 3070, 568, 602, 519, 14130, 581, 27618, 269, 3509, 7262, 11180, 2477, 723, 22833, 600, 1968, 9777, 2137, 269, 1717, 267, 538, 1034, 540, 891, 2477, 267, 1519, 519, 2296, 12057, 267, 519, 5580, 2777, 814, 1044, 27618, 610, 16094, 18604, 563, 17812, 816, 281, 1160, 1636, 1308, 23830, 769, 4334, 547, 519, 590, 13270, 1062, 267, 16295, 616, 711, 21248, 593, 519, 4493, 540, 513, 32469, 610, 5354, 282, 3079, 16295, 616, 21248, 8167, 958, 2687, 547, 519, 1297, 540, 16018, 4607, 676, 519, 5428, 269, 901, 1062, 2636, 585, 2789, 6041, 538, 13102, 269, 1717, 267, 14354, 6041, 568, 711, 513, 3443, 25445, 269, 898, 666, 581, 7294, 543, 16018, 666, 581, 8237, 538, 971, 513, 1259, 607, 547, 2327, 602, 1100, 2582, 5428, 666, 3035, 513, 32469, 610, 513, 5354, 269, 901, 666, 1291, 547, 4666, 6674, 543, 16132, 269, 1280, 1383, 267, 7977, 814, 1185, 476, 6812, 6608, 2094, 476, 3707, 277, 269, 769, 891, 1949, 267, 513, 5428, 602, 17993, 676, 513, 28489, 32469, 1419, 814, 547, 1106, 513, 22687, 538, 1931, 547, 3895, 22122, 269, 6271, 5413, 540, 513, 8167, 958, 11347, 1062, 568, 538, 2477, 609, 2620, 6803, 543, 610, 3909, 15523, 269, 2368, 1949, 267, 6140, 538, 5824, 3013, 267, 1450, 585, 6131, 6041, 540, 6805, 18441, 269, 769, 476, 1960, 275, 267, 28469, 773, 25511, 1512, 267, 513, 1876, 7548, 9930, 3990, 547, 581, 519, 19608, 30374, 4937, 585, 6406, 7126, 267, 4503, 519, 9930, 1588, 593, 519, 12406, 540, 1200, 1489, 585, 513, 14354, 6041, 1062, 269, 769, 513, 2749, 4204, 9550, 585, 2947, 14643, 16295, 267, 2161, 267, 1142, 28056, 1131, 723, 2947, 16018, 267, 799, 1352, 1223, 15814, 1851, 519, 2947, 10457, 1022, 1259, 1352, 15055, 269, 1403, 513, 11359, 540, 519, 17037, 1904, 539, 547, 834, 322, 636, 3634, 2437, 610, 726, 2794, 267, 782, 741, 16018, 585, 835, 11134, 267, 789, 1131, 581, 2111, 547, 1528, 835, 540, 519, 2947, 269, 2349, 2931, 1223, 798, 713, 952, 789, 8359, 547, 267, 855, 865, 1223, 1022, 23887, 1895, 540, 6190, 2450, 269, 901, 1062, 568, 900, 874, 5597, 711, 7292, 569, 1759, 281, 621, 2636, 17037, 547, 10891, 2933, 593, 8726, 4493, 789, 6999, 269, 898, 814, 2965, 1044, 6836, 538, 513, 1906, 22875, 4534, 1519, 519, 605, 14620, 6053, 1977, 2749, 540, 3212, 18319, 267, 13325, 4534, 543, 814, 1185, 8037, 1967, 538, 782, 540, 873, 269, 5518, 22735, 1767, 602, 1352, 1185, 8604, 547, 12167, 14354, 6041, 267, 513, 2990, 646, 1572, 834, 656, 573, 655, 7095, 543, 1360, 2352, 547, 9718, 1701, 4165, 573, 655, 7095, 286, 2334, 786, 2097, 607, 3377, 547, 519, 1434, 1004, 540, 5125, 267, 8050, 267, 519, 13814, 267, 543, 13785, 267, 1851, 824, 2477, 269, 11569, 267, 1034, 540, 519, 1528, 528, 919, 540, 25550, 2342, 267, 1519, 1346, 540, 519, 5391, 23306, 5101, 267, 1528, 741, 9777, 2137, 896, 930, 1106, 540, 14354, 6041, 282, 865, 798, 519, 9721, 267, 519, 32228, 2103, 267, 543, 519, 5840, 529, 282, 543, 865, 786, 519, 1715, 10215, 619, 267, 945, 5293, 513, 22275, 31558, 593, 519, 1641, 538, 476, 1960, 274, 563, 17812, 816, 1107, 12856, 6837, 2221, 22939, 2370, 942, 538, 4890, 18064, 3130, 269, 634, 9030, 960, 540, 6837, 568, 1382, 267, 7634, 267, 543, 14218, 1890, 3028, 269, 901, 568, 10630, 538, 519, 12233, 2497, 540, 6837, 269, 5637, 519, 5600, 543, 519, 14130, 723, 513, 1297, 540, 7463, 26639, 269, 1452, 26639, 616, 2417, 5258, 883, 1082, 1016, 1260, 2466, 21164, 269, 2368, 26639, 616, 8628, 543, 1866, 616, 4646, 585, 1808, 2152, 610, 24973, 1063, 519, 5600, 543, 519, 14130, 269, 634, 16126, 593, 513, 12233, 2497, 814, 1500, 6837, 11825, 976, 12665, 269, 634, 2243, 602, 14340, 689, 713, 4145, 519, 2110, 3259, 540, 2474, 543, 1651, 3518, 1890, 538, 6935, 547, 9111, 269, 22640, 7957, 832, 24826, 282, 13222, 2097, 909, 585, 9550, 1169, 1079, 1296, 269, 1717, 267, 547, 581, 606, 2500, 11285, 3340, 513, 17890, 942, 538, 5604, 269, 30557, 8758, 21164, 1107, 32719, 550, 26639, 609, 519, 1379, 547, 15974, 543, 2328, 9086, 602, 6227, 513, 1808, 1641, 8564, 8758, 21164, 1107, 570, 3637, 26639, 1305, 909, 547, 2232, 513, 1880, 3390, 17434, 9730, 1107, 589, 12233, 4646, 540, 2818, 689, 519, 5600, 543, 14130, 10985, 9730, 1107, 589, 4745, 12233, 2813, 547, 960, 856, 513, 14207, 593, 519, 8574, 540, 9086, 563, 283, 592, 12481, 2993, 285, 13070, 3472, 675, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 7343, 10187, 725, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30265, 539, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 289, 644, 1326, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 19733, 543, 4518, 4403, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 21328, 543, 25642, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 26296, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30025, 21637, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 31359, 10029, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 17220, 9534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 25938, 622, 8758, 21164, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 13070, 3472, 675, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 7343, 10187, 725, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30265, 539, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 289, 21403, 267, 24184, 267, 12124, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 4467, 12692, 267, 3163, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 21328, 543, 7849, 8249, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 5319, 1444, 543, 5398, 3718, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 293, 12099, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 297, 644, 26547, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 4910, 1545, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 305, 2737, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 16631, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 15675, 11106, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 22102, 6355, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 18184, 1841, 540, 24722, 18430, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 9558, 1636, 566, 543, 24486, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 309, 2678, 753, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 310, 904, 543, 31283, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 20288, 793, 9534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 294, 21194, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 297, 644, 26547, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 10890, 267, 4065, 267, 8534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 305, 2737, 543, 8556, 5928, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 15675, 11106, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 22102, 6355, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 309, 2678, 753, 16457, 21742, 2993, 20565, 592, 285, 17812, 816, 281, 12856, 910, 8758, 21164, 5600, 8758, 21164, 454, 20684, 4083, 281, 3465, 19409, 4208, 519, 13368, 619, 3442, 547, 723, 513, 7022, 3788, 1945, 540, 513, 9814, 269, 634, 8549, 626, 14430, 8774, 2370, 1769, 593, 519, 4128, 585, 513, 24164, 269, 8549, 626, 1948, 3583, 2073, 2854, 676, 12138, 16803, 267, 568, 519, 3622, 11855, 2707, 269, 634, 5518, 267, 2687, 547, 16803, 267, 1131, 723, 968, 21328, 538, 519, 15445, 1848, 901, 1648, 568, 28955, 538, 519, 7682, 4369, 540, 519, 7022, 267, 585, 7247, 606, 1367, 267, 711, 513, 14643, 267, 568, 2556, 538, 1931, 547, 1683, 9322, 543, 2656, 3664, 269, 16803, 4967, 602, 519, 24164, 568, 711, 513, 21257, 267, 1141, 513, 598, 2017, 2590, 14643, 267, 607, 538, 519, 2013, 540, 4789, 267, 568, 2556, 855, 711, 2141, 2500, 269, 16803, 849, 4967, 519, 2042, 609, 1533, 540, 1715, 3840, 779, 10324, 7936, 267, 513, 14643, 1062, 269, 667, 22844, 630, 1220, 273, 267, 476, 6924, 264, 4967, 602, 519, 17793, 1067, 779, 7620, 23163, 513, 811, 25931, 1062, 538, 799, 6837, 11221, 519, 10324, 855, 21787, 602, 519, 10324, 1131, 711, 581, 4830, 2614, 689, 6837, 269, 634, 21146, 2852, 1062, 729, 6074, 1317, 789, 2219, 519, 1528, 832, 540, 519, 5082, 7394, 5441, 267, 899, 519, 18211, 7095, 14130, 267, 1131, 3635, 929, 644, 550, 543, 4830, 10385, 538, 741, 16018, 269, 634, 1646, 540, 519, 5428, 1062, 538, 519, 2038, 476, 5197, 271, 338, 10032, 713, 2856, 267, 855, 519, 13368, 619, 1705, 711, 723, 519, 4324, 540, 12042, 338, 697, 269, 589, 12057, 776, 1062, 2488, 930, 3845, 1063, 519, 10324, 543, 519, 1004, 267, 855, 568, 811, 3759, 20160, 269, 634, 12722, 24164, 5280, 1020, 519, 7242, 602, 1152, 519, 5518, 5963, 22993, 519, 786, 540, 519, 1004, 267, 676, 1259, 540, 9550, 676, 968, 718, 519, 1004, 1848, 24641, 267, 519, 17793, 1067, 779, 8247, 4667, 547, 581, 602, 519, 23328, 1131, 18220, 519, 786, 540, 519, 1004, 610, 621, 1131, 886, 4310, 865, 602, 621, 1705, 711, 729, 711, 13671, 538, 513, 2582, 9872, 563, 20684, 4083, 281, 590, 30708, 476, 273, 1299, 476, 274, 281, 2037, 10179, 730, 25024, 540, 519, 5518, 2999, 592, 12481, 2993, 285, 763, 5518, 4927, 581, 2155, 6387, 538, 12751, 540, 519, 8136, 543, 13108, 540, 519, 2136, 2276, 267, 543, 540, 519, 631, 4106, 807, 540, 519, 1896, 2276, 267, 950, 1572, 883, 519, 4890, 6796, 540, 519, 2136, 2276, 282, 646, 949, 2154, 519, 32722, 267, 538, 1603, 267, 540, 519, 9030, 20229, 538, 1142, 540, 519, 10324, 3493, 25902, 267, 2390, 1022, 1641, 11341, 547, 519, 667, 583, 625, 540, 741, 9757, 5510, 1182, 267, 543, 646, 4927, 723, 1379, 547, 16827, 3115, 4471, 1407, 543, 623, 731, 976, 585, 5510, 5151, 1996, 519, 2136, 2276, 267, 4849, 538, 27418, 540, 1955, 701, 16670, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3891, 4927, 723, 5295, 267, 676, 543, 609, 519, 31876, 543, 3117, 550, 540, 519, 14130, 267, 547, 1118, 6164, 625, 267, 3177, 1079, 555, 8674, 540, 519, 7354, 2209, 1459, 598, 2017, 282, 543, 646, 4927, 9930, 3729, 267, 543, 676, 543, 609, 519, 31876, 543, 3117, 550, 540, 519, 14130, 267, 4927, 6966, 19264, 817, 611, 832, 267, 824, 1857, 3687, 8651, 543, 3117, 6160, 267, 7225, 2471, 540, 519, 18678, 7040, 267, 543, 782, 824, 12079, 619, 540, 519, 2136, 2276, 267, 4171, 2561, 2002, 906, 616, 711, 23954, 6382, 3177, 585, 267, 543, 799, 4927, 581, 3964, 676, 4521, 281, 855, 519, 6837, 949, 676, 4521, 22514, 519, 2561, 2002, 618, 540, 971, 17071, 12079, 619, 267, 607, 789, 1589, 1697, 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, 306, 4149, 10628, 23958, 3427, 540, 7025, 5525, 630, 425, 503, 502, 422, 366, 377, 423, 490, 478, 17432, 503, 424, 505, 494, 264, 4750, 540, 7025, 5525, 630, 425, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 264, 29030, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 11730, 476, 6860, 630, 3192, 278, 994, 17843, 2747, 540, 28820, 656, 8092, 268, 8196, 7827, 538, 519, 667, 1619, 569, 29740, 5346, 9351, 2433, 28820, 656, 8092, 7827, 24544, 538, 30209, 267, 8050, 476, 3192, 275, 268, 3192, 278, 454, 268, 13690, 267, 769, 454, 268, 17136, 11261, 454, 268, 10563, 482, 506, 424, 504, 372, 423, 490, 478, 17432, 503, 422, 369, 494, 29030, 503, 502, 422, 366, 377, 423, 490, 478, 17432, 503, 424, 505, 494, 454, 268, 29030, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 267, 5292, 269, 275, 3143, 269, 272, 267, 6032, 269, 476, 9262, 268, 1911, 454, 268, 23398, 2244, 14025, 28944, 616, 1419, 5340, 538, 4683, 2127, 585, 519, 3483, 21130, 7851, 267, 21130, 1239, 267, 5464, 2244, 14025, 1689, 267, 7598, 2244, 14025, 4566, 267, 865, 593, 269, 28820, 656, 2244, 267, 607, 835, 540, 6198, 2244, 14025, 6688, 267, 729, 711, 4481, 9286, 543, 6592, 538, 891, 6671, 2244, 14025, 2090, 269, 1717, 267, 1034, 2090, 3100, 547, 3274, 2697, 519, 1362, 540, 7477, 656, 2244, 1510, 9878, 3007, 547, 922, 4657, 3344, 269, 7905, 28331, 514, 15091, 602, 834, 1492, 3483, 540, 1362, 4328, 7477, 656, 2244, 568, 547, 3313, 922, 29839, 585, 1585, 3029, 540, 4683, 1646, 281, 585, 4853, 267, 10821, 267, 16351, 267, 543, 824, 5049, 540, 2244, 3096, 2668, 1656, 646, 2417, 5941, 1585, 2093, 540, 7477, 656, 268, 1633, 1353, 267, 855, 1510, 2469, 883, 1808, 7156, 540, 519, 6422, 3344, 540, 7477, 656, 268, 1633, 1689, 269, 24356, 1689, 540, 1646, 540, 7477, 656, 2244, 3340, 3280, 1702, 865, 607, 547, 1174, 519, 1184, 540, 7477, 656, 268, 1633, 7503, 883, 824, 2244, 3096, 269, 898, 568, 849, 6444, 602, 519, 6384, 540, 7477, 656, 2244, 616, 1256, 811, 1271, 267, 711, 1152, 538, 6935, 547, 4081, 1382, 855, 849, 547, 1118, 4443, 4683, 23923, 618, 4566, 543, 547, 4163, 873, 856, 6707, 563, 268, 28567, 538, 901, 30014, 281, 0, 278, 24342, 585, 834, 21776, 476, 6245, 276, 4840, 763, 12653, 1457, 540, 19291, 7937, 331, 454, 1103, 476, 6245, 276, 267, 3979, 1977, 23134, 17055, 3627, 19811, 8929, 543, 7166, 3043, 23134, 2875, 19291, 7937, 331, 269, 634, 7292, 569, 21678, 3377, 3795, 4478, 19811, 779, 4693, 14550, 7292, 13253, 1869, 1459, 593, 13464, 543, 538, 4884, 13977, 1296, 1310, 519, 1439, 540, 519, 6406, 2782, 563, 3725, 3164, 526, 594, 269, 654, 269, 700, 269, 18471, 29728, 454, 3725, 3164, 526, 594, 269, 654, 269, 700, 269, 18471, 29728, 267, 945, 13984, 519, 23134, 634, 1670, 12054, 2435, 538, 519, 476, 6245, 271, 338, 543, 4607, 513, 9457, 779, 4110, 689, 519, 5441, 540, 1715, 14948, 538, 476, 6245, 276, 267, 729, 835, 540, 23134, 779, 9998, 3979, 1977, 20021, 269, 1261, 949, 849, 723, 1044, 519, 1101, 543, 1152, 5449, 10553, 547, 10927, 689, 519, 2852, 563, 19365, 13177, 281, 23134, 779, 7831, 18763, 3979, 1977, 28941, 966, 754, 528, 454, 19365, 13177, 267, 513, 3109, 16724, 538, 23134, 538, 519, 1101, 3368, 540, 519, 476, 736, 628, 2540, 267, 729, 519, 3791, 543, 2063, 538, 513, 1899, 540, 4830, 3979, 1977, 21527, 945, 4421, 29295, 906, 547, 1053, 269, 634, 28215, 1053, 1031, 585, 13177, 630, 320, 7292, 1793, 584, 264, 10630, 519, 13680, 10168, 538, 23134, 729, 1869, 1360, 1454, 1459, 1282, 519, 2022, 31616, 5736, 267, 607, 538, 519, 2395, 540, 519, 1101, 13464, 29449, 267, 5449, 535, 1872, 1438, 10553, 6276, 19811, 9652, 563, 22832, 19811, 9652, 281, 634, 23134, 674, 1872, 1438, 32013, 454, 22832, 19811, 9652, 267, 513, 535, 1872, 1438, 10553, 15685, 1310, 606, 476, 7277, 274, 4693, 538, 23134, 267, 2968, 513, 7986, 4137, 538, 4884, 543, 593, 13464, 936, 519, 1576, 540, 1010, 1082, 5756, 2324, 693, 519, 5441, 540, 1715, 14948, 563, 22832, 15966, 9655, 543, 23134, 779, 3689, 21091, 4147, 7741, 454, 22832, 15966, 9655, 267, 23134, 779, 1605, 22770, 7022, 630, 5908, 279, 268, 6434, 1070, 15861, 3979, 1977, 10927, 1053, 883, 1010, 5049, 543, 9244, 22309, 8474, 543, 519, 28583, 2329, 1765, 935, 341, 11881, 602, 606, 13499, 3043, 7013, 1053, 11504, 519, 2852, 1310, 519, 6406, 2782, 563, 24961, 540, 715, 817, 879, 9335, 454, 24961, 540, 715, 817, 879, 9335, 538, 23134, 267, 1519, 476, 14695, 715, 817, 879, 9335, 267, 519, 2892, 3019, 3544, 540, 799, 2875, 19291, 7937, 331, 729, 8929, 538, 476, 6245, 276, 269, 0, 3528, 7812, 3171, 14852, 269, 18738, 270, 11073, 2515, 269, 11728, 267, 5181, 476, 866, 267, 476, 1708, 273, 454, 6624, 540, 721, 941, 6659, 609, 519, 2856, 602, 519, 2136, 2276, 814, 519, 1158, 779, 1655, 9111, 269, 1809, 602, 2070, 568, 711, 3838, 676, 3906, 602, 2965, 7584, 519, 1158, 779, 1629, 31097, 563, 1103, 922, 22640, 12039, 476, 1708, 271, 1867, 267, 519, 8859, 626, 779, 11106, 5149, 19486, 519, 772, 2529, 269, 607, 519, 476, 1839, 628, 1034, 11180, 4182, 269, 4595, 476, 1001, 277, 267, 789, 4076, 5116, 519, 772, 2529, 269, 538, 519, 968, 4148, 31090, 9111, 892, 7121, 267, 1310, 1629, 7627, 621, 689, 519, 968, 21459, 9111, 892, 1895, 585, 519, 1101, 942, 538, 476, 1001, 277, 563, 10527, 2475, 779, 2949, 2773, 568, 4371, 1394, 676, 513, 1297, 540, 12755, 5608, 2687, 547, 519, 1867, 267, 968, 10175, 5393, 1970, 2157, 540, 3972, 538, 5238, 543, 2797, 6105, 282, 968, 1372, 788, 14524, 538, 519, 8647, 540, 2229, 282, 2810, 6937, 547, 5191, 540, 4082, 282, 543, 513, 4110, 540, 6848, 26445, 602, 2306, 13618, 593, 1022, 3390, 3592, 7543, 547, 3035, 3034, 1103, 922, 476, 1708, 272, 5993, 15213, 538, 519, 2622, 1867, 267, 15213, 5600, 1107, 513, 2475, 2861, 1875, 17416, 630, 7474, 29377, 1382, 543, 14223, 593, 9111, 267, 2797, 5191, 267, 543, 1480, 2924, 264, 1107, 849, 19486, 519, 772, 2529, 269, 476, 1839, 628, 269, 968, 763, 11761, 540, 2475, 9111, 568, 7415, 267, 2523, 585, 513, 2197, 602, 814, 1279, 607, 18944, 547, 4196, 607, 513, 581, 13154, 540, 5191, 585, 519, 1158, 3034, 6097, 547, 15213, 5600, 267, 1614, 11972, 2042, 1404, 606, 16080, 1242, 1909, 538, 14944, 1456, 519, 1072, 540, 519, 1977, 2797, 1062, 281, 21376, 2126, 585, 1004, 540, 2681, 267, 519, 16789, 3310, 540, 2724, 538, 6214, 267, 543, 851, 16388, 26445, 543, 17119, 1143, 563, 1432, 827, 1934, 538, 13244, 3933, 3821, 888, 4131, 779, 1376, 609, 9111, 454, 763, 2262, 968, 12047, 7100, 892, 568, 6508, 689, 519, 5259, 2262, 2048, 12047, 758, 7806, 807, 8730, 799, 2501, 689, 1629, 657, 968, 15161, 892, 543, 737, 7806, 657, 968, 12741, 6100, 769, 824, 1913, 267, 968, 1492, 1004, 3180, 1379, 1848, 11933, 21154, 9111, 568, 513, 1390, 2856, 269, 1215, 547, 2259, 621, 3788, 513, 2713, 4603, 563, 2080, 538, 13244, 3933, 3821, 267, 649, 723, 18513, 12836, 1169, 1079, 1296, 607, 851, 540, 938, 2199, 9111, 269, 769, 1142, 540, 891, 12836, 267, 1585, 2199, 2516, 543, 3906, 1118, 11134, 23596, 906, 2443, 1271, 6786, 547, 17037, 827, 519, 5079, 1354, 873, 563, 15551, 305, 305, 23596, 618, 1184, 454, 3080, 540, 519, 27479, 532, 3906, 568, 15382, 305, 305, 1107, 13244, 3933, 15092, 585, 681, 550, 619, 7126, 269, 589, 2199, 29065, 1895, 267, 15382, 305, 305, 1101, 6896, 547, 3142, 10519, 1852, 547, 13244, 3933, 3821, 538, 476, 3192, 280, 3842, 519, 2199, 11036, 1184, 267, 1141, 4961, 1129, 4620, 1431, 547, 2322, 8908, 4031, 593, 519, 3440, 582, 585, 513, 1857, 8917, 269, 4595, 1287, 1247, 12180, 1472, 2146, 2152, 267, 15382, 305, 305, 814, 849, 1500, 23596, 906, 538, 2199, 12836, 267, 609, 922, 10639, 607, 513, 4557, 1218, 2924, 22299, 8876, 513, 2603, 540, 2597, 538, 513, 2749, 1141, 476, 273, 270, 274, 540, 7264, 616, 15646, 1562, 563, 3719, 2436, 610, 711, 835, 7028, 15382, 305, 305, 779, 4507, 543, 3760, 267, 972, 568, 1454, 547, 581, 29742, 539, 689, 922, 11134, 23596, 618, 1184, 563, 15551, 305, 305, 5063, 4371, 922, 1979, 268, 2335, 783, 23596, 618, 15007, 269, 2060, 13359, 22864, 1930, 547, 15382, 305, 305, 779, 2489, 15376, 267, 519, 15007, 1500, 23596, 906, 585, 2749, 14643, 267, 1153, 4604, 267, 2852, 4604, 543, 10519, 1852, 4604, 267, 607, 1134, 607, 585, 13244, 3933, 3821, 779, 13222, 585, 1533, 10198, 543, 10315, 28643, 269, 898, 568, 606, 8537, 2203, 950, 606, 3919, 779, 2489, 15376, 2306, 922, 23596, 618, 3664, 269, 1809, 1018, 28263, 519, 15382, 305, 305, 15007, 568, 1141, 519, 2370, 2048, 323, 685, 9111, 729, 2731, 8345, 563, 290, 663, 573, 919, 5275, 15382, 305, 305, 779, 23596, 618, 1590, 6445, 856, 606, 3573, 18102, 543, 7119, 538, 513, 11134, 24680, 5967, 267, 799, 568, 1930, 547, 519, 15382, 305, 305, 2489, 15376, 269, 634, 11042, 585, 2749, 14643, 10457, 941, 513, 3368, 5662, 1279, 267, 543, 12286, 5423, 2055, 689, 519, 15382, 305, 305, 6008, 1359, 9730, 543, 3606, 3283, 689, 1866, 11504, 519, 5967, 269, 634, 1394, 543, 8521, 538, 1346, 11042, 5795, 513, 1390, 2631, 540, 1141, 519, 10457, 941, 593, 1883, 2152, 7133, 938, 2146, 563, 1432, 952, 519, 3003, 2146, 1223, 723, 713, 1377, 540, 1344, 827, 519, 10457, 1354, 621, 888, 763, 15382, 305, 305, 18102, 543, 11134, 11042, 7044, 941, 3370, 593, 519, 15382, 305, 305, 3896, 630, 10059, 2517, 4178, 4732, 332, 31014, 3820, 270, 1708, 273, 23337, 31014, 2275, 663, 28371, 17942, 1613, 338, 270, 1070, 1500, 2139, 1354, 519, 15382, 305, 305, 15007, 267, 543, 2611, 593, 519, 15382, 305, 305, 3896, 2221, 269, 4208, 1281, 713, 2339, 286, 5221, 585, 2048, 1492, 1004, 685, 547, 723, 519, 1379, 267, 2048, 1492, 1004, 685, 991, 547, 581, 5483, 269, 1656, 538, 713, 2013, 267, 519, 3178, 540, 1344, 2139, 827, 519, 10457, 729, 3573, 563, 1103, 1034, 12836, 267, 519, 5354, 540, 1344, 602, 10301, 17037, 2501, 689, 519, 10457, 630, 528, 3906, 5885, 873, 264, 3842, 5859, 3332, 269, 23875, 4636, 609, 602, 1107, 922, 1434, 547, 1294, 1018, 10457, 630, 663, 741, 18793, 264, 1616, 547, 2161, 269, 1809, 971, 3332, 1869, 6140, 5161, 540, 2110, 3280, 17486, 543, 1793, 690, 2033, 1359, 563, 6546, 779, 1141, 519, 1857, 7706, 2501, 538, 2443, 543, 1857, 9489, 616, 2877, 547, 2327, 782, 616, 1732, 5483, 563, 1103, 519, 4013, 28056, 1344, 3391, 602, 4422, 856, 547, 782, 17037, 267, 2199, 13244, 3933, 3821, 18513, 10457, 723, 519, 4781, 540, 26446, 513, 476, 1220, 2048, 322, 663, 28371, 3948, 540, 8247, 8730, 538, 1312, 2296, 543, 5053, 1893, 8747, 269, 4595, 519, 6019, 540, 11968, 13353, 8255, 13244, 3933, 3821, 779, 12836, 267, 621, 5036, 519, 3902, 585, 891, 6898, 630, 22372, 2390, 741, 1378, 1942, 6051, 4700, 901, 1032, 519, 6019, 10997, 5111, 1269, 272, 267, 4968, 585, 2749, 14643, 543, 10519, 1852, 4604, 543, 1269, 272, 267, 4335, 585, 1153, 4604, 543, 2852, 4604, 563, 763, 4975, 540, 13244, 3933, 3821, 23297, 547, 13564, 1125, 891, 3790, 267, 865, 602, 782, 10457, 666, 723, 513, 476, 1220, 2262, 3948, 3370, 269, 2334, 779, 513, 1434, 3364, 267, 1317, 621, 5849, 602, 782, 17037, 786, 723, 693, 2547, 519, 1482, 5934, 15977, 540, 1344, 827, 782, 10457, 269, 1809, 540, 519, 476, 7597, 4872, 4171, 12836, 519, 6019, 786, 2196, 713, 5437, 267, 1152, 13244, 3933, 3821, 543, 4639, 21035, 723, 6074, 547, 7703, 713, 1942, 563, 4407, 593, 519, 13244, 3933, 3821, 4975, 7027, 8885, 538, 519, 3735, 476, 1960, 271, 338, 267, 594, 6707, 15469, 513, 8101, 2333, 538, 4975, 29552, 3795, 540, 3440, 582, 6709, 531, 1881, 10457, 269, 1306, 513, 1267, 585, 1082, 1296, 267, 11134, 6898, 593, 1585, 3584, 267, 2059, 609, 11042, 543, 15473, 630, 335, 22004, 676, 519, 4975, 540, 13244, 3933, 3821, 538, 14966, 609, 519, 13244, 3933, 3821, 13477, 540, 6468, 966, 582, 619, 264, 941, 13739, 593, 13244, 3933, 3821, 779, 4975, 29552, 585, 513, 3923, 1354, 519, 9550, 267, 543, 11540, 593, 13334, 563, 1607, 7641, 2861 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2663, 6410, 547, 15173, 15158, 543, 5245, 269, 3571, 7096, 1702, 540, 4457, 2528, 543, 1893, 4847, 1864, 547, 14377, 543, 5659, 3875, 25761, 5931, 267, 1519, 1346, 676, 13198, 2473, 684, 543, 1627, 1014, 11809, 784, 3333, 340, 269, 3958, 267, 1010, 1378, 12591, 267, 971, 607, 834, 763, 12280, 540, 30626, 31474, 257, 630, 3192, 278, 264, 543, 834, 24336, 1744, 27595, 257, 630, 3192, 275, 1070, 3177, 1651, 529, 633, 31886, 540, 4457, 6214, 543, 2486, 269, 3414, 1010, 14046, 18697, 543, 16994, 7422, 267, 27550, 1188, 332, 753, 2968, 606, 1271, 5639, 538, 5935, 2518, 11994, 540, 2413, 3624, 780, 8448, 1713, 4589, 1331, 1384, 272, 269, 13198, 2473, 684, 630, 6642, 272, 268, 4350, 277, 2567, 10705, 9833, 607, 519, 4651, 540, 2413, 4457, 3332, 267, 13198, 2473, 684, 10660, 1229, 519, 946, 540, 31546, 15066, 1893, 538, 2110, 2984, 543, 8214, 1194, 10296, 1514, 2152, 899, 22530, 819, 267, 22293, 267, 543, 13313, 563, 273, 269, 5487, 334, 2701, 630, 6245, 280, 268, 3422, 277, 2567, 19612, 585, 1010, 12667, 28402, 540, 19864, 781, 2539, 5049, 267, 5487, 334, 2701, 5206, 1093, 17257, 8941, 602, 9676, 519, 9759, 540, 4948, 1272, 896, 6385, 4657, 8739, 27791, 2175, 563, 274, 269, 661, 850, 523, 26284, 630, 4572, 271, 268, 1960, 276, 2567, 1306, 513, 4487, 540, 5626, 5708, 267, 26284, 8268, 4798, 540, 2648, 267, 3961, 267, 543, 13919, 538, 1200, 1568, 267, 1419, 10223, 519, 8082, 1063, 2245, 543, 29678, 563, 275, 269, 15651, 7102, 328, 630, 321, 269, 476, 4198, 275, 2567, 13876, 1242, 585, 1200, 5499, 9423, 2553, 543, 3309, 5396, 267, 15651, 7102, 328, 814, 1500, 8101, 7418, 547, 4207, 4457, 3332, 609, 9089, 543, 2110, 2984, 7567, 780, 14483, 12367, 543, 25684, 912, 17457, 4457, 2110, 2984, 3136, 547, 11457, 267, 10452, 5571, 14759, 1369, 4457, 2486, 269, 10765, 7835, 1331, 29293, 540, 4008, 543, 14920, 267, 2825, 9637, 267, 543, 3059, 2923, 781, 1764, 593, 3332, 269, 1280, 3236, 267, 2052, 2473, 826, 781, 8097, 6386, 4161, 30013, 3889, 543, 2243, 4641, 3294, 267, 1247, 20568, 595, 1460, 514, 781, 2257, 5708, 1568, 4497, 609, 6639, 7760, 543, 23019, 20304, 269, 5015, 267, 2228, 5867, 899, 4236, 327, 14241, 543, 1284, 756, 334, 7520, 519, 23425, 540, 2110, 2984, 267, 7175, 9962, 10333, 543, 5807, 5188, 1851, 3988, 543, 5830, 780, 1103, 3932, 267, 4974, 2413, 4457, 2110, 1650, 10070, 3091, 3407, 4030, 883, 3624, 781, 5339, 6561, 267, 10409, 10124, 267, 543, 1914, 19205, 8916, 269, 1635, 2502, 609, 1883, 5931, 267, 7421, 5339, 2553, 267, 543, 3695, 519, 2729, 543, 7506, 540, 7986, 4589, 267, 1053, 666, 15052, 741, 7071, 585, 4457, 3332, 543, 5660, 922, 11972, 10083, 538, 2221, 781, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 7216, 7689, 538, 1715, 590, 11659, 454, 303, 18824, 779, 3310, 593, 1250, 3646, 543, 17050, 3788, 3768, 574, 31944, 267, 543, 594, 993, 556, 1170, 5224, 519, 16434, 24744, 547, 1864, 538, 3624, 11595, 607, 519, 3312, 568, 12617, 538, 519, 21287, 540, 634, 3624, 9452, 3135, 563, 1765, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 454, 29394, 267, 3624, 11595, 454, 1556, 4864, 476, 1708, 272, 454, 268, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 267, 589, 5729, 1510, 24839, 267, 634, 3624, 9452, 4750, 267, 476, 1556, 4864, 476, 1001, 276, 454, 268, 1323, 3447, 730, 2494, 568, 3502, 513, 8000, 2443, 2201, 519, 2160, 267, 3624, 11595, 267, 4728, 476, 1001, 278, 454, 268, 634, 3624, 16869, 543, 634, 14210, 16710, 906, 2443, 654, 10248, 3624, 654, 10248, 630, 296, 1070, 3624, 11595, 267, 476, 276, 5130, 476, 1001, 279, 454, 268, 6348, 7721, 11962, 769, 27771, 687, 267, 769, 6665, 1043, 769, 330, 267, 2349, 1678, 9664, 2443, 654, 10248, 3624, 654, 10248, 630, 2862, 1070, 3624, 11595, 267, 476, 278, 5130, 476, 1001, 279, 454, 268, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 267, 2290, 1546, 1417, 2494, 267, 634, 1715, 3840, 5623, 540, 7734, 267, 476, 2764, 4873, 476, 1001, 279, 267, 2019, 269, 5038, 267, 1100, 269, 1556, 2443, 654, 10248, 3624, 654, 10248, 630, 18958, 9654, 994, 268, 2201, 1715, 590, 11659, 267, 4728, 476, 1220, 276, 8894, 268, 16497, 538, 1715, 590, 11659, 454, 268, 1715, 590, 11659, 808, 2714, 902, 454, 1103, 519, 4374, 3056, 909, 547, 519, 1101, 16683, 540, 24839, 27550, 1188, 332, 753, 685, 8429, 713, 4864, 267, 519, 8241, 10418, 593, 595, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17457, 4457, 10374, 9452, 26888, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 7489, 1315, 4457, 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, 18181, 1362, 256, 4653, 649, 616, 2469, 547, 1451, 827, 594, 1027, 21281, 5606, 16272, 543, 875, 789, 9305, 547, 9363, 2635, 269, 1411, 1522, 4898, 1018, 476, 5367, 7401, 814, 547, 798, 609, 1072, 267, 855, 3494, 621, 610, 711, 267, 28823, 707, 1378, 29225, 693, 1753, 666, 948, 596, 1174, 1271, 2035, 827, 11976, 267, 2123, 1436, 540, 2126, 267, 543, 1256, 2921, 1416, 540, 3054, 607, 596, 1332, 4587, 780, 5331, 713, 910, 950, 1004, 2911, 827, 11976, 267, 789, 2811, 6158, 827, 782, 519, 7592, 602, 616, 5293, 1524, 689, 3237, 547, 741, 1453, 998, 5027, 269, 6884, 891, 6090, 4163, 1344, 827, 1761, 1072, 2152, 899, 2295, 2042, 269, 3767, 267, 4952, 952, 7189, 1223, 1413, 883, 707, 4719, 17539, 547, 1294, 952, 972, 729, 1022, 1981, 540, 3478, 1346, 3676, 1354, 789, 2968, 3978, 269, 2334, 1259, 267, 789, 1223, 2285, 596, 2027, 5796, 543, 3007, 547, 1832, 596, 4743, 1434, 2429, 707, 1272, 2439, 1103, 519, 1158, 540, 1426, 543, 10425, 267, 649, 1289, 1620, 543, 1210, 5820, 1759, 593, 1367, 7375, 834, 26051, 1242, 5986, 1701, 898, 1797, 23115, 856, 799, 10366, 960, 1655, 585, 1142, 1268, 865, 3025, 21593, 741, 7594, 269, 1879, 2870, 476, 5367, 7401, 1102, 16272, 267, 649, 1205, 547, 4603, 609, 1114, 10659, 540, 5613, 267, 5810, 267, 14546, 267, 543, 824, 2067, 21187, 269, 1635, 3257, 713, 267, 649, 1711, 2189, 24025, 602, 8597, 4481, 547, 938, 6492, 19512, 1247, 3450, 721, 3407, 4245, 827, 10531, 3782, 780, 4131, 781, 4685, 4514, 883, 519, 1184, 540, 13167, 606, 594, 1027, 21281, 5606, 4288, 1927, 1384, 272, 269, 7994, 2659, 12476, 281, 3807, 899, 2348, 513, 2178, 5748, 2337, 1628, 513, 4396, 2777, 267, 4358, 1055, 609, 513, 8949, 3490, 7401, 5036, 909, 707, 476, 5367, 7401, 30376, 585, 1967, 269, 2368, 2442, 3681, 616, 3109, 267, 3039, 267, 3043, 267, 610, 522, 565, 784, 7401, 3762, 269, 3962, 835, 6770, 922, 1378, 3982, 8137, 9043, 267, 3850, 596, 547, 3442, 1945, 12050, 610, 11029, 4470, 593, 945, 786, 4235, 621, 630, 528, 6148, 2119, 873, 782, 256, 6393, 273, 269, 17292, 2659, 17186, 268, 11900, 281, 29759, 267, 5388, 267, 17580, 5810, 267, 543, 1585, 4005, 902, 666, 2981, 10750, 7401, 883, 1945, 9058, 269, 1280, 1383, 267, 4946, 21100, 540, 11993, 267, 10538, 267, 610, 29475, 5932, 513, 24253, 4832, 1521, 269, 2107, 3575, 538, 930, 4195, 20511, 3762, 610, 32175, 24968, 585, 513, 22196, 30148, 1714, 1460, 597, 269, 2142, 3860, 609, 707, 5079, 282, 3314, 1107, 713, 568, 22400, 10531, 11100, 2439, 274, 269, 6008, 788, 1656, 15346, 13560, 281, 4495, 596, 723, 4956, 593, 707, 4999, 267, 14869, 707, 598, 1723, 794, 2687, 547, 519, 5227, 942, 585, 519, 1826, 540, 7401, 596, 8359, 269, 30850, 267, 1577, 621, 3579, 1524, 4625, 1354, 7674, 936, 4672, 269, 17949, 519, 17175, 1623, 21620, 540, 10366, 16802, 532, 538, 1169, 521, 760, 2439, 3086, 1589, 1394, 547, 938, 4901, 827, 11976, 543, 10531, 4915, 269, 1403, 2576, 6487, 789, 949, 581, 12155, 547, 1978, 10108, 1813, 547, 15110, 2188, 267, 1287, 6704, 1808, 2010, 540, 476, 5367, 7401, 1102, 16272, 1223, 5732, 3565, 547, 4509, 741, 2949, 8171, 269, 1358, 2161, 6604, 568, 1732, 982, 10826, 267, 1318, 286, 1924, 1946, 711, 1376, 3695, 2081, 547, 3251, 2635, 676, 3843, 1007, 10346, 3358, 547, 9290, 707, 16919, 2496, 2026, 649, 2085, 267, 2523, 1282, 18273, 267, 2242, 2049, 1312, 9308, 543, 15508, 269, 18227, 3950, 540, 891, 7835, 2636, 721, 547, 3082, 9935, 543, 2226, 3666, 1369, 6000, 269, 25530, 476, 5367, 7401, 1102, 16272, 5781, 2488, 20697, 1898, 585, 2208, 543, 7028, 2318, 2790, 1072, 1932, 269, 1306, 606, 3773, 22429, 267, 8600, 891, 16098, 7512, 11009, 543, 9639, 1107, 1079, 2629, 1983, 2556, 585, 10188, 1272, 6707, 780, 3383, 979, 6619, 267, 5531, 2828, 543, 1920, 2818, 1472, 267, 543, 2671, 2984, 1247, 11981, 707, 19471, 594, 1027, 21281, 5606, 16272, 269, 5457, 267, 1620, 543, 19825, 3604, 1063, 2043, 533, 2314, 519, 2619, 2509, 13784, 543, 8296, 269, 4258, 619, 547, 1434, 1072, 267, 1582, 22523, 267, 543, 11995, 1187, 6901, 538, 519, 10051, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 6313, 513, 1268, 779, 22420, 4412, 3748, 547, 2295, 1966, 538, 1840, 547, 2417, 3467, 5532, 7965, 267, 4387, 666, 8415, 2965, 1360, 2038, 5574, 2059, 609, 2417, 3467, 16419, 3797, 2409, 269, 901, 4640, 711, 1175, 24024, 519, 3463, 540, 28491, 2621, 2705, 2417, 3467, 6990, 2295, 1072, 543, 9716, 1818, 946, 540, 6098, 4480, 540, 2713, 4388, 563, 4322, 575, 714, 21573, 5351, 538, 3168, 1310, 8101, 9424, 540, 2564, 2059, 609, 22420, 1344, 267, 7175, 513, 1390, 4308, 513, 2603, 811, 4977, 9193, 540, 3797, 1439, 2164, 269, 634, 16369, 540, 4207, 13120, 10607, 519, 16252, 540, 4998, 3797, 2409, 267, 3384, 18334, 12115, 902, 538, 1840, 547, 849, 5818, 539, 7082, 2347, 9547, 563, 763, 4473, 538, 9972, 7218, 588, 637, 521, 7621, 26338, 617, 821, 5489, 2135, 4540, 3797, 5943, 267, 3132, 513, 2603, 3476, 7996, 2053, 538, 1840, 547, 8101, 2959, 269, 6481, 1416, 4485, 2154, 547, 1331, 711, 8806, 2168, 1072, 543, 9716, 2705, 538, 1840, 2790, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 1027, 21281, 5606, 16272, 257, 607, 851, 540, 834, 23733, 1315, 30094, 1137, 1315, 24334, 1299, 21281, 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, 4985, 1384, 1103, 2221, 781, 1950, 543, 10562, 1158, 267, 5883, 707, 942, 3927, 814, 1831, 811, 1271, 982, 2479, 1354, 269, 901, 568, 2523, 3020, 585, 1762, 4079, 945, 1590, 3666, 2789, 9021, 971, 607, 1153, 1740, 267, 29599, 2238, 267, 1514, 1272, 267, 543, 2123, 9716, 269, 634, 2702, 547, 4383, 942, 20617, 666, 723, 513, 1713, 1764, 593, 1585, 3344, 540, 707, 1272, 267, 1519, 4081, 2773, 267, 2790, 1072, 267, 543, 2949, 1967, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 942, 2359, 543, 3922, 1436, 267, 5373, 2390, 519, 1383, 540, 9031, 781, 2189, 942, 1062, 547, 9414, 1883, 3741, 543, 2994, 780, 4089, 476, 272, 281, 4197, 5384, 5004, 543, 26875, 1436, 692, 4263, 922, 4295, 267, 942, 2359, 3322, 4058, 543, 16706, 6857, 1852, 540, 942, 6170, 593, 1808, 2238, 547, 2333, 7145, 267, 4398, 267, 543, 7607, 269, 898, 849, 3340, 4259, 14422, 1759, 593, 2418, 267, 3853, 267, 543, 21852, 269, 1635, 1565, 547, 4383 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1626, 264, 1341, 476, 273, 317, 8987, 1704, 4297, 270, 276, 568, 5231, 1496, 258, 21529, 316, 476, 5400, 4239, 476, 1001, 278, 267, 476, 6187, 281, 6246, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1109, 5231, 8921, 476, 1109, 314, 476, 2420, 9708, 476, 6540, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 476, 279, 268, 280, 32162, 1668, 11878, 1916, 2252, 596, 1616, 621, 3728, 1287, 4584, 519, 8184, 543, 8038, 269, 1703, 568, 835, 8184, 1142, 1554, 689, 22186, 332, 663, 340, 547, 13225, 611, 1905, 584, 269, 898, 3217, 1472, 476, 272, 32162, 547, 3914, 13225, 611, 1905, 584, 563, 8110, 2739, 942, 547, 979, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 763, 1655, 942, 547, 7552, 713, 31939, 568, 11354, 630, 18550, 267, 4989, 267, 2904, 264, 543, 4201, 4379, 630, 20826, 267, 5239, 267, 5437, 1040, 4438, 891, 2053, 267, 519, 4365, 543, 2837, 786, 3870, 707, 2427, 269, 1411, 666, 13248, 4064, 543, 12271, 883, 519, 694, 1066, 640, 540, 713, 1747, 269, 24641, 267, 15604, 543, 3933, 22792, 732, 711, 519, 15028, 12405, 547, 31939, 538, 1022, 540, 3490, 3786, 31939, 538, 18310, 269, 634, 2898, 942, 11507, 616, 4904, 609, 6777, 543, 31868, 2044, 4672, 563, 306, 7428, 263, 4728, 268, 17623, 2904, 994, 306, 7428, 568, 519, 1034, 5078, 942, 538, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 547, 979, 31939, 6362, 267, 607, 519, 4365, 568, 2312, 543, 519, 2070, 568, 3834, 2254, 545, 269, 1306, 922, 8445, 4005, 519, 8905, 666, 1205, 811, 22125, 982, 2479, 585, 31939, 6362, 269, 1403, 596, 14406, 519, 4201, 4379, 713, 568, 519, 1152, 3903, 602, 596, 723, 2451, 563, 8505, 4379, 263, 5181, 268, 5412, 994, 5194, 1655, 1974, 547, 3643, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 568, 1063, 3735, 4149, 324, 4697, 543, 4571, 268, 20103, 269, 634, 4365, 1282, 4201, 4379, 568, 811, 7123, 543, 2312, 3850, 29271, 5784, 269, 1411, 786, 2972, 3043, 22800, 10239, 2630, 519, 2312, 4544, 6607, 269, 898, 779, 606, 4244, 585, 7508, 856, 593, 519, 11354, 4005, 563, 303, 1069, 1080, 2838, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 307, 516, 330, 24329, 723, 547, 3489, 513, 31939, 6362, 11863, 689, 18310, 21094, 8274, 547, 3643, 918, 6195, 269, 1358, 849, 991, 547, 6718, 513, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 630, 918, 290, 4338, 1040, 1703, 616, 930, 3652, 547, 581, 4553, 676, 1169, 21233, 912, 268, 9701, 581, 538, 513, 1895, 263, 693, 2547, 476, 273, 1004, 994, 268, 9701, 581, 10483, 676, 513, 13931, 3391, 454, 268, 9701, 16926, 513, 2199, 31939, 6362, 8116, 547, 1205, 31939, 11863, 454, 298, 4545, 1156, 329, 2426, 320, 3148, 568, 513, 11658, 1858, 602, 2115, 513, 11863, 585, 9683, 269, 634, 1942, 540, 513, 11863, 585, 11658, 2127, 568, 20430, 476, 1015, 829, 533, 1314, 829, 3018, 269, 6271, 568, 519, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 263, 298, 290, 4338, 264, 28428, 281, 715, 11965, 476, 1220, 271, 829, 533, 1314, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 30991, 454, 2005, 779, 835, 540, 519, 13074, 1726, 802, 538, 18310, 267, 8151, 689, 476, 736, 268, 2918, 2395, 547, 2347, 7868, 2951, 8653, 666, 581, 27571, 676, 7446, 28296, 936, 4155, 339, 8692, 269, 8409, 945, 1616, 547, 13236, 538, 2470, 585, 513, 1247, 713, 568, 519, 1655, 4308, 585, 873, 269, 1411, 786, 849, 1205, 547, 2263, 1034, 540, 18310, 538, 835, 2582, 31939, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 898, 10719, 776, 454, 763, 2630, 7396, 568, 621, 10719, 776, 585, 707, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 31939, 1759, 2390, 519, 8653, 540, 476, 2190, 2395, 269, 898, 779, 519, 20125, 1259, 2009, 547, 2347, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 563, 21196, 476, 4905, 281, 27336, 2526, 538, 22186, 332, 663, 340, 543, 4483, 547, 519, 15678, 269, 630, 15793, 276, 332, 994, 21196, 476, 6349, 281, 22186, 332, 663, 340, 8289, 572, 4370, 543, 31939, 6362, 11863, 7041, 454, 21196, 476, 6734, 281, 26850, 547, 13225, 611, 1905, 584, 543, 5397, 547, 7629, 600, 454, 21196, 476, 6860, 281, 20000, 547, 2672, 8208, 541, 543, 31939, 547, 700, 531, 16554, 1046, 320, 630, 26297, 271, 332, 994, 21196, 476, 4962, 281, 7066, 330, 547, 918, 515, 572, 11445, 630, 18891, 271, 332, 8094, 21196, 476, 6187, 281, 7066, 330, 547, 631, 600, 1678, 515, 630, 9965, 276, 332, 8094, 21196, 476, 5881, 281, 7066, 330, 547, 26232, 874, 644, 514, 630, 21172, 271, 332, 8094, 21196, 476, 5400, 281, 7066, 330, 547, 32202, 784, 630, 4968, 271, 332, 8094, 21196, 476, 6021, 281, 7066, 330, 547, 4258, 1090, 630, 4343, 278, 271, 332, 8094, 21196, 476, 1015, 281, 3600, 743, 574, 26494, 1554, 693, 4258, 1090, 630, 4343, 278, 271, 332, 8094, 21196, 476, 1556, 281, 7066, 330, 547, 10548, 5995, 630, 3393, 279, 271, 332, 8094, 21196, 476, 1321, 281, 7066, 330, 547, 962, 531, 2426, 3490, 3786, 543, 31939, 1394, 547, 4258, 1090, 630, 14596, 271, 332, 8094, 21196, 476, 1724, 281, 7066, 330, 547, 1530, 548, 5487, 630, 275, 3066, 271, 332, 8094, 21196, 476, 1691, 281, 7066, 330, 547, 13850, 12584, 320, 630, 3374, 280, 276, 332, 8094, 21196, 476, 1428, 281, 7066, 330, 547, 10609, 3711, 659, 1156, 630, 28147, 271, 332, 8094, 21196, 476, 1626, 281, 7066, 330, 547, 700, 327, 517, 752, 630, 275, 4281, 271, 332, 8094, 21196, 476, 1704, 281, 7066, 330, 547, 13850, 12584, 320, 630, 31003, 276, 332, 8094, 21196, 476, 1240, 281, 7066, 330, 547, 2549, 329, 3342, 320, 630, 15996, 279, 332, 8094, 21196, 476, 866, 281, 7066, 330, 547, 932, 597, 11445, 630, 14096, 271, 332, 8094, 21196, 476, 736, 281, 7066, 330, 547, 1912, 584, 3518, 340, 630, 14028, 271, 332, 8094, 21196, 476, 2641, 281, 7066, 330, 547, 2672, 8208, 541, 454, 21196, 476, 2420, 281, 20000, 1394, 547, 13225, 611, 1905, 584, 454, 21196, 476, 2537, 281, 26850, 1394, 547, 22186, 332, 663, 340, 454, 21196, 476, 2190, 281, 3493, 691, 675, 1554, 454, 13425, 4289, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 2080, 616, 930, 1271, 1919, 711, 547, 4413, 856, 593, 519, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 912, 268, 1849, 582, 1127, 543, 14272, 18875, 454, 268, 7066, 330, 6362, 4425, 1824, 454, 268, 24953, 6215, 26802, 454, 268, 23225, 8424, 540, 6418, 31273, 454, 268, 18307, 324, 576, 10793, 564, 454, 268, 24953, 11058, 602, 6227, 707, 10772, 454, 268, 4826, 16513, 10793, 564, 454, 268, 570, 9317, 619, 543, 570, 6879, 16630, 454, 268, 12619, 532, 20045, 543, 570, 550, 454, 268, 7066, 330, 6362, 2717, 525, 454, 268, 24953, 3794, 7174, 454, 268, 5842, 3202, 13845, 9469, 454, 268, 590, 2426, 28904, 267, 23290, 2775, 543, 1216, 11480, 454, 268, 23448, 6292, 540, 13310, 14296, 952, 596, 616, 14850, 1051, 659, 1194, 454, 268, 3689, 22707, 14173, 454, 268, 16816, 3363, 19210, 1107, 18924, 2135, 543, 11955, 1107, 10361, 5995, 267, 853, 6729, 5995, 454, 268, 4826, 22729, 14342, 454, 268, 11846, 4585, 454, 268, 2405, 658, 6539, 454, 3719, 519, 30304, 666, 4268, 4470, 593, 1141, 267, 1141, 267, 543, 875, 596, 3442, 547, 979, 593, 513, 31939, 269, 1403, 519, 4365, 568, 1932, 4411, 596, 2461, 4440, 9849, 5230, 9660, 269, 1924, 267, 763, 21617, 519, 2837, 267, 519, 18219, 519, 9126, 786, 581, 563, 11795, 22187, 1377, 593, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 568, 835, 540, 519, 5207, 15820, 1726, 802, 538, 519, 1158, 269, 1411, 723, 547, 3802, 585, 1896, 2395, 538, 513, 1164, 15820, 3148, 269, 29303, 693, 971, 4463, 5781, 666, 2014, 596, 7244, 2042, 269, 1411, 786, 991, 1434, 1072, 267, 1164, 8516, 543, 6378, 8990, 547, 3035, 519, 3952, 269, 898, 779, 711, 602, 2352, 952, 596, 1246, 930, 4808, 543, 269, 589, 2635, 1367, 666, 3362, 1118, 621, 547, 3490, 3786, 269, 16816, 3363, 590, 32169, 543, 1133, 335, 9438, 762, 2916, 666, 8373, 922, 8436, 3006, 269, 1809, 952, 596, 1616, 547, 2490, 707, 3337, 267, 596, 786, 15983, 1265, 602, 1689, 1310, 519, 31939, 563, 21798, 540, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 763, 1942, 666, 4268, 689, 20430, 476, 1220, 271, 1107, 20430, 476, 12573, 271, 4470, 2390, 31939, 6362, 8041, 685, 1942, 2497, 269, 8779, 2882, 9276, 899, 6283, 267, 22098, 267, 1426, 267, 3391, 543, 849, 519, 1942, 540, 18983, 527, 543, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 263, 298, 290, 4338, 1040, 1411, 786, 991, 606, 3063, 9126, 540, 2724, 952, 596, 616, 513, 6300, 1695, 4301, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 6452, 7951, 566, 454, 298, 4545, 1156, 329, 2426, 320, 814, 930, 5214, 751, 1695, 11817, 543, 15805, 554, 7491, 585, 22098, 2059, 519, 8905, 269, 1452, 4025, 786, 711, 4313, 596, 899, 519, 3818, 3613, 541, 20730, 855, 789, 786, 1683, 596, 519, 1655, 7484, 540, 7401, 543, 10875, 2070, 269, 4438, 3781, 267, 596, 666, 849, 1293, 952, 596, 1616, 547, 269, 7937, 1018, 513, 3781, 602, 786, 581, 267, 7654, 519, 1655, 3781, 540, 707, 1272, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 5253, 454, 763, 1426, 596, 786, 581, 4189, 538, 918, 4545, 1156, 329, 2426, 320, 568, 2199, 267, 2241, 543, 1034, 540, 782, 5214, 269, 1306, 621, 779, 513, 1447, 10272, 31939, 6362, 5544, 865, 596, 949, 711, 1265, 1426, 607, 538, 824, 2442, 31939, 6362, 4609, 269, 634, 3536, 616, 11273, 609, 4195, 5820, 4947, 1318, 689, 519, 2361, 269, 1411, 666, 1175, 1205, 4503, 538, 519, 9329, 540, 1426, 269, 30766, 2812, 543, 19676, 543, 8216, 30653, 616, 519, 1034, 1455, 1426, 596, 786, 1205, 6039, 972, 269, 1411, 666, 849, 1205, 631, 6865, 302, 267, 12815, 320, 267, 543, 5839, 16336, 328, 855, 538, 1360, 1906, 4025, 1152, 563, 2791, 666, 849, 3142, 16152, 267, 10217, 13063, 267, 543, 10425, 609, 596, 952, 1152, 596, 723, 2614, 2230, 2451, 538, 707, 9126, 269, 0, 763, 7642, 10356, 2933, 1927, 538, 741, 4872, 2429, 782, 519, 16899, 540, 519, 4622, 13259, 553, 21838, 639, 267, 547, 2482, 1688, 593, 971, 607, 8179, 741, 10413, 281, 543, 1100, 812, 1223, 16641, 873, 282, 585, 519, 4250, 540, 873, 8593, 593, 782, 1004, 563, 297, 2794, 547, 281, 4446, 5886, 3040, 645, 21672, 3040, 19739, 3040, 11062, 3040, 22548, 651, 3040, 11023, 2421, 3040, 11875, 545, 2714, 3040, 1401, 1842, 3218, 781, 3040, 5890, 667, 551, 3040, 717, 2801, 2041, 548, 514, 3040, 717, 306, 289, 3040, 28711, 3040, 22630, 3040, 15917, 323, 1442, 3040, 670, 770, 902, 3040, 13067, 850, 9455, 3040, 808, 293, 289, 3040, 918, 291, 3040, 23765, 3040, 918, 297, 307, 3040, 700, 1052, 3040, 5839, 299, 13873, 3040, 631, 18449, 3040, 631, 18449, 310, 3040, 26436, 3040, 7313, 1961, 3040, 17240, 335, 527, 3040, 590, 1069, 517, 3040, 590, 4596, 3040, 570, 307, 289, 3040, 654, 2464, 3040, 570, 306, 298, 454, 13052, 303, 5308, 3951, 12088, 630, 2894, 21923, 23360, 19739, 25770, 264, 2414, 2482, 1688, 593, 971, 607, 8179, 741, 10413, 23102, 1692, 2484, 519, 7642, 19500, 2687, 547, 519, 7453, 4484, 540, 519, 1196, 1112, 267, 543, 968, 6365, 585, 741, 2729, 892, 1152, 950, 16091, 267, 568, 5310, 547, 581, 6065, 1540, 269, 1358, 1185, 593, 741, 2427, 782, 519, 10324, 540, 519, 10504, 630, 15307, 615, 476, 280, 281, 274, 1070, 543, 10423, 569, 547, 782, 703, 757, 543, 5301, 519, 2034, 1196, 1112, 729, 2808, 12303, 547, 4735, 531, 519, 1101, 269, 634, 7642, 267, 4061, 267, 1373, 538, 12797, 693, 7040, 267, 543, 267, 607, 729, 711, 796, 11499, 1310, 741, 15372, 267, 1373, 1631, 2407, 540, 967, 793, 566, 543, 642, 3188, 766, 267, 941, 4440, 17251, 547, 946, 741, 3255, 1247, 789, 1185, 519, 4960, 269, 1403, 865, 267, 945, 1223, 1843, 865, 1279, 607, 789, 1705, 4986, 1996, 519, 8128, 286, 543, 789, 267, 649, 723, 2938, 267, 941, 593, 741, 2427, 269, 2334, 789, 1705, 1118, 513, 26481, 946, 540, 741, 4316, 568, 3254, 5693, 676, 6480, 615, 476, 280, 281, 1626, 9950, 560, 615, 476, 280, 281, 273, 269, 634, 7642, 10356, 2933, 1927, 538, 741, 4872, 2443, 1955, 321, 617, 1221, 543, 11542, 2390, 741, 20237 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 345, 17624, 815, 521, 17624, 1341, 1775, 315, 23169, 17624, 2330, 2982, 692, 17961, 9387, 15857, 1422, 842, 3709, 299, 9078, 348, 1422, 2765, 18097, 345, 9078, 2410, 345, 17624, 317, 273, 910, 1990, 9078, 317, 273, 348, 17851, 1422, 2765, 346, 272, 2410, 273, 345, 17624, 4153, 3847, 263, 1422, 8421, 18750, 17624, 1341, 476, 272, 1341, 1775, 315, 23169, 9078, 264, 910, 1422, 8421, 18750, 17624, 1341, 1775, 315, 23169, 9078, 264, 910, 1422, 8421, 18750, 17624, 910, 476, 272, 910, 1775, 315, 23169, 9078, 264, 1341, 1422, 8421, 18750, 17624, 910, 1775, 315, 23169, 9078, 264, 1422, 2431, 264, 8607, 1299, 315, 343, 21375, 24560, 11355, 3189, 23169, 348, 1422, 1729, 476, 271, 316, 24001, 1422, 2765, 346, 272, 2410, 273, 338, 17624, 4153, 3847, 263, 1422, 8421, 13375, 7268, 2765, 346, 272, 1341, 521, 17624, 2410, 272, 910, 521, 17624, 348, 1422, 2431, 264, 1341, 1775, 19570, 315, 28072, 4067, 346, 338, 793, 12917, 331, 10275, 264, 1422, 2431, 264, 1422, 754, 9387, 265, 10926, 303, 1663, 21794, 713, 1394, 10484, 17961, 9387, 15857, 1422, 24837, 346, 296, 12917, 332, 19885, 264, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 2765, 3189, 7032, 2410, 273, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 332, 348, 1422, 842, 3709, 271, 8703, 272, 348, 521, 3867, 333, 268, 273, 348, 1422, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 910, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 330, 268, 272, 4153, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 333, 10275, 348, 22773, 546, 338, 8607, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 28072, 4067, 346, 3412, 348, 1422, 842, 3709, 271, 8703, 272, 348, 521, 3867, 333, 268, 273, 348, 1422, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 332, 348, 22773, 546, 338, 8607, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 28072, 4067, 346, 3412, 348, 1422, 842, 3709, 271, 23685, 13727, 348, 1422, 2765, 3189, 7562, 327, 3867, 333, 268, 273, 348, 1535, 7346, 6523, 327, 18898, 1535, 348, 1422, 3847, 263, 1535, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 332, 348, 22773, 15848, 267, 1422, 754, 9387, 265, 10926, 1260, 921, 1154, 519, 6169, 780, 2026, 3593, 3445, 274, 7597, 3085, 1405, 723, 519, 942, 15151, 594, 2219, 594, 1065, 525, 550, 1250, 1378, 3070, 12799, 585, 1346, 5461, 780, 28275, 609, 1422, 8218, 9387, 348, 1422, 842, 3709, 10559, 7032, 270, 273, 23685, 7032, 270, 273, 348, 1422, 2765, 12757, 18898, 1422, 3847, 7268, 6523, 1535, 9368, 22722, 333, 268, 273, 24828, 3847, 7268, 7562, 1535, 9368, 8203, 333, 348, 22773, 11513, 3944, 546, 26507, 1299, 315, 23637, 7758, 26635, 284, 273, 343, 2410, 284, 348, 476, 273, 13064, 333, 266, 272, 348, 22773, 1775, 18898, 1422, 842, 3709, 10559, 7032, 23685, 7032, 348, 586, 18898, 22773, 552, 13064, 12011, 348, 22773, 1422, 2765, 3189, 3847, 263, 272, 266, 324, 13064, 12011, 4153, 2431, 22722, 333, 268, 273, 24828, 3847, 263, 272, 3887, 13064, 12011, 4153, 2431, 8203, 333, 348, 22773, 11513, 3944, 546, 348, 344, 8607, 1299, 315, 23637, 7758, 346, 345, 284, 324, 3867, 12011, 12453, 284, 348, 910, 328, 22773, 476, 273, 13064, 333, 266, 272, 348, 1422, 842, 29192, 24472, 1422, 3847, 7268, 8421, 1990, 9368, 8203, 333, 22773, 1422, 2765, 18950, 345, 266, 272, 22722, 333, 268, 273, 12453, 263, 345, 268, 272, 8203, 333, 348, 22773, 11513, 3944, 546, 348, 345, 1422, 754, 9387, 348, 1141, 6695, 24472, 2330, 568, 519, 1770, 5858, 538, 2318, 4287, 269, 634, 2076, 8681, 568, 2868, 14521, 1055, 519, 2942, 1483, 1899, 543, 519, 26048, 666, 581, 632, 11526, 547, 1152, 11700, 846, 519, 2759, 3230, 15631, 272, 267, 271, 316, 29634, 10190, 1422, 8218, 9387, 348, 17851, 328, 22773, 476, 273, 13064, 333, 266, 272, 348, 11196, 272, 8203, 333, 1422, 842, 318, 271, 317, 272, 1422, 2765, 18950, 272, 22271, 22722, 333, 268, 273, 12453, 263, 272, 266, 345, 8203, 333, 348, 22773, 1422, 3847, 28381, 1422, 3847, 7268, 8421, 1990, 1341, 1775, 19570, 9368, 8203, 333, 910, 1422, 3847, 7268, 8421, 1990, 910, 1775, 19570, 9368, 8203, 333, 1422, 2431, 315, 348, 11513, 3944, 546, 348, 345, 8607, 17851, 273, 13064, 333, 266, 273, 348, 11196, 272, 22722, 333, 266, 272, 348, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 8218, 32413, 348, 562, 8607, 737, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 910, 333, 8607, 7117, 1422, 754, 32413, 348, 11196, 272, 8203, 335, 1422, 7032, 3867, 333, 10275, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 12917, 333, 10275, 9385, 2431, 264, 8607, 1299, 315, 29911, 1422, 9392, 1422, 842, 318, 271, 317, 272, 1990, 3867, 335, 266, 336, 348, 22773, 1422, 3847, 263, 1422, 8421, 1990, 1422, 2431, 8203, 330, 22773, 11513, 3944, 546, 348, 345, 1422, 754, 9387, 348, 543, 1210, 519, 1079, 12596, 1422, 8218, 9387, 348, 1422, 842, 318, 271, 317, 272, 1535, 18898, 22773, 1422, 3847, 7268, 8421, 1535, 9368, 8203, 332, 22773, 11513, 3944, 546, 26507, 17851, 1422, 2765, 346, 8987, 272, 8203, 332, 22773, 544, 256, 2410, 263, 333, 266, 272, 22722, 332, 266, 272, 3686, 1422, 32002, 346, 272, 348, 8607, 1422, 8218, 32413, 348, 910, 333, 8607, 7117, 1422, 754, 32413, 348, 17851, 11196, 272, 8203, 336, 1422, 8218, 32413, 348, 562, 266, 336, 268, 272, 8607, 7117, 1422, 754, 32413, 348, 815, 11196, 272, 8203, 336, 22773, 1422, 2765, 18950, 336, 266, 272, 9385, 26984, 32429, 266, 333, 268, 272, 20972, 263, 333, 268, 272, 25631, 348, 8607, 17851, 1422, 2765, 346, 8987, 272, 8203, 336, 2410, 263, 333, 268, 272, 25631, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 630, 336, 266, 272, 8203, 332, 1422, 32002, 346, 273, 348, 1422, 754, 9387, 348, 609, 519, 853, 26325, 2338, 540, 519, 1101, 2186, 649, 12446, 693, 1422, 8218, 9387, 348, 815, 273, 13064, 333, 266, 273, 348, 11196, 272, 22722, 333, 266, 272, 348, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 2765, 18950, 336, 266, 272, 8203, 332, 11196, 272, 22722, 330, 266, 335, 266, 336, 348, 1422, 7032, 3867, 333, 10275, 348, 562, 256, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 12917, 333, 10275, 9385, 2431, 20972, 263, 335, 266, 336, 266, 272, 22722, 330, 266, 272, 348, 630, 333, 268, 272, 25631, 630, 333, 10275, 25631, 348, 22773, 1547, 1422, 754, 9387, 348, 8921, 649, 9258, 519, 14805, 566, 3230, 330, 1422, 21375, 562, 10275, 2330, 543, 31693, 1776, 942, 519, 3815, 30967, 336, 266, 272, 22722, 332, 13157, 263, 335, 266, 336, 266, 272, 1790, 22722, 332, 6525, 538, 519, 562, 7631, 1807, 1422, 8218, 9387, 348, 1299, 15871, 273, 13064, 333, 266, 273, 4153, 267, 333, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 331, 284, 271, 11892, 332, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 11196, 335, 22722, 332, 2000, 348, 8607, 1299, 315, 29911, 1422, 2765, 346, 8987, 315, 7032, 22722, 330, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 348, 330, 9368, 20972, 330, 256, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 266, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 8607, 1299, 15871, 273, 13064, 333, 266, 273, 348, 22773, 562, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 331, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 332, 284, 331, 8703, 333, 268, 272, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 11196, 335, 22722, 332, 2000, 27874, 1299, 315, 29911, 1422, 2765, 346, 8987, 315, 7032, 22722, 330, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 348, 330, 9368, 20972, 330, 256, 348, 1422, 3847, 28381, 1422, 9508, 13375, 3799, 10275, 2000, 266, 272, 9368, 264, 28363, 8999, 3709, 336, 284, 272, 11892, 335, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 1422, 2431, 315, 348, 1422, 32002, 346, 274, 348, 1422, 754, 9387, 348, 1141, 6695, 9508, 4433, 14638, 568, 519, 667, 597, 747, 2280, 661, 3279, 6363, 4233, 780, 2005, 4667, 607, 952, 1422, 8218, 9387, 348, 1299, 315, 15153, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8999, 3709, 331, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 332, 284, 331, 8703, 333, 268, 272, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 335, 22722, 332, 2000, 348, 11196, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 8607, 1299, 7807, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 266, 272, 3686, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 8987, 336, 266, 272, 8203, 332, 8607, 17851, 8987, 272, 22722, 333, 268, 272, 12917, 333, 268, 272, 25631, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 7117, 268, 272, 8607, 562, 268, 272, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 266, 272, 3686, 8607, 17851, 476, 271, 22773, 2073, 1422, 754, 9387, 348, 2094, 3230, 336, 315, 19008, 562, 268, 273, 2330, 543, 6695, 8218, 32413, 348, 562, 268, 274, 8607, 562, 268, 272, 1422, 754, 32413, 13157, 271, 18079, 865, 519, 2034, 2165, 538, 519, 1225, 569, 31455, 1281, 711, 3565, 780, 2080, 568, 513, 32712, 8943, 540, 519, 1267, 630, 274, 264, 585, 19027, 1384, 6135, 691, 3248, 333, 28701, 476, 276, 3248, 9508, 28701, 22876, 630, 338, 264, 3681, 11346, 267, 15561, 282, 3970, 9230, 272, 268, 273, 22677, 272, 4149, 4297, 265, 313, 9508, 22829, 1070, 590, 815, 521, 264, 1439, 22876, 3248, 337, 272, 28701, 14458, 8987, 273, 317, 8987, 333, 266, 273, 12684, 333, 265, 5417, 263, 5417, 263, 5417, 263, 5417, 6357, 30796, 3799, 268, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2700, 540, 25073, 543, 29897, 11871, 1496, 13078, 267, 476, 22659, 267, 476, 21854, 4940, 1717, 267, 11601, 540, 4187, 676, 1480, 5761, 2860, 2281, 729, 2404, 609, 13019, 339, 272, 21467, 343, 16054, 543, 5444, 29208, 1547, 2806, 539, 7236, 1696, 620, 269, 7152, 602, 13019, 339, 1476, 619, 28250, 680, 11294, 4187, 3842, 22629, 540, 533, 7871, 17466, 21866, 1588, 543, 12159, 540, 18919, 7709, 538, 3210, 547, 28250, 680, 11294, 1547, 1849, 320, 518, 327, 719, 1696, 620, 269, 6659, 519, 7872, 602, 1313, 15047, 344, 4249, 606, 1271, 1909, 538, 7700, 547, 28250, 680, 11294, 4187, 1547, 769, 513, 11636, 2203, 540, 2759, 10389, 2695, 13904, 1591, 26217, 1591, 3515, 267, 22629, 540, 1313, 15047, 344, 676, 476, 274, 2173, 14007, 23565, 710, 610, 676, 11083, 294, 276, 22545, 6658, 267, 2059, 609, 22629, 540, 13019, 339, 8476, 519, 11118, 25570, 640, 540, 28250, 680, 11294, 1547, 21298, 267, 621, 814, 1044, 4080, 602, 1896, 2890, 23978, 616, 632, 29970, 538, 25073, 2860, 543, 11465, 305, 268, 20969, 8992, 1591, 6668, 543, 28250, 680, 11294, 4187, 676, 1524, 2958, 6819, 25280, 2894, 543, 1437, 908, 13019, 339, 1547, 4935, 267, 13019, 339, 270, 8976, 2894, 13374, 4249, 606, 1271, 1909, 538, 28250, 680, 11294, 4187, 543, 1223, 581, 18060, 539, 547, 9258, 519, 11259, 26737, 563, 8601, 1713, 7760, 538, 3075, 1646, 543, 7636, 2389, 1173, 9643, 3797, 267, 2757, 18068, 5170, 547, 581, 519, 2101, 2126, 4781, 269, 1280, 811, 982, 13977, 1296, 267, 28250, 680, 11294, 5713, 607, 835, 540, 519, 1034, 1271, 1884, 4618, 1356, 5061, 1031, 24802, 269, 1717, 267, 28250, 680, 11294, 4187, 5170, 547, 581, 519, 2101, 19224, 548, 538, 2860, 18068, 269, 1306, 13269, 538, 7612, 476, 272, 267, 10408, 8417, 547, 28250, 680, 11294, 568, 711, 1152, 14931, 676, 922, 19718, 267, 2498, 12999, 610, 5872, 609, 922, 3077, 5027, 855, 10408, 6114, 547, 28250, 680, 11294, 14001, 5027, 3441, 849, 1404, 513, 2101, 1909, 538, 14045, 519, 10700, 1591, 12556, 269, 19204, 666, 19334, 8825, 6114, 547, 21391, 1591, 4783, 11144, 543, 7816, 28250, 680, 11294, 14001, 5027, 3441, 269, 4014, 3573, 5027, 3441, 666, 16578, 1591, 2669, 676, 30091, 267, 1896, 15202, 11444, 267, 1519, 13019, 339, 267, 623, 298, 290, 267, 543, 30684, 298, 338, 630, 324, 3052, 1421, 18317, 298, 267, 808, 301, 298, 267, 543, 533, 4343, 30684, 298, 264, 666, 10038, 28250, 680, 11294, 14001, 30091, 269, 634, 10510, 16401, 528, 3940, 533, 7871, 1404, 513, 2565, 1909, 538, 15725, 1591, 4783, 10654, 267, 5027, 7816, 543, 30091, 269, 634, 1875, 516, 1061, 528, 1119, 4592, 710, 32635, 524, 5025, 4565, 666, 849, 7119, 538, 5027, 3441, 3210, 676, 1437, 908, 1585, 30684, 298, 338, 543, 15025, 609, 533, 7871, 543, 533, 10463, 269, 10765, 2963, 5267, 602, 2890, 23978, 666, 849, 10038, 28250, 680, 11294, 8417, 269, 4595, 1585, 15202, 11444, 10038, 28250, 680, 11294, 8417, 267, 835, 1259, 547, 2087, 519, 12117, 540, 28250, 680, 11294, 568, 547, 946, 621, 538, 4999, 609, 8069, 602, 3077, 519, 15202, 11444, 543, 3565, 547, 28250, 680, 11294, 4187, 269, 3958, 267, 9256, 28250, 680, 11294, 609, 7636, 2389, 1173, 9643, 3797, 1058, 2539, 519, 18262, 540, 28250, 680, 11294, 4867, 6964, 543, 3976, 948, 538, 10970, 11868, 922, 2427, 2360, 971, 607, 26669, 549, 1729, 13877, 640, 269, 1306, 5941, 538, 713, 1957, 267, 519, 10408, 2796, 814, 1713, 1764, 538, 14045, 519, 10700, 3210, 547, 28250, 680, 11294, 543, 949, 4268, 689, 835, 3461, 547, 1776, 269, 4935, 267, 519, 2101, 4161, 568, 547, 1020, 25191, 3797, 3681, 602, 786, 581, 20688, 13402, 547, 4324, 513, 1880, 3461, 269, 9717, 519, 10462, 609, 519, 1967, 540, 1022, 9241, 2919, 3075, 543, 519, 1967, 540, 28250, 680, 11294, 607, 513, 2447, 6139, 8427, 8665, 267, 713, 1935, 949, 581, 811, 15164, 543, 1058, 581, 8362, 22002, 563, 763, 4589, 25442, 569, 23294, 1125, 952, 789, 538, 30541, 1836, 2451, 856, 1022, 2101, 9295, 538, 713, 2361, 269, 901, 1957, 729, 6462, 676, 519, 16827, 11404, 5881, 272, 278, 2767, 630, 5723, 264, 689, 519, 2817, 9435, 4659, 269, 590, 269, 25421, 5864, 584, 20321, 568, 6462, 676, 519, 20530, 334, 28118, 3004, 710, 525, 1222, 13815, 7460, 5400, 274, 271, 4200, 689, 667, 7495, 7460, 14641, 269, 0, 763, 5208, 602, 13264, 856, 693, 519, 1439, 540, 519, 476, 3422, 271, 338, 6603, 922, 1164, 1448, 538, 476, 3192, 273, 267, 1498, 540, 1576, 693, 602, 942, 18864, 6785, 602, 519, 1297, 540, 7972, 1131, 8445, 538, 602, 1032, 543, 1287, 7771, 269, 898, 8604, 538, 476, 3192, 273, 607, 952, 8832, 8581, 729, 2469, 547, 581, 10057, 538, 606, 1102, 1716, 334, 540, 23038, 267, 4439, 7410, 267, 27632, 1824, 543, 6848, 15059, 269, 23566, 2632, 729, 929, 528, 690, 4240, 630, 338, 22273, 2105, 264, 547, 519, 1526, 1716, 566, 540, 9769, 1143, 267, 543, 519, 1158, 14478, 513, 724, 770, 607, 6628, 2366, 1612, 520, 549, 641, 619, 547, 26718, 12560, 1486, 22246, 538, 14216, 787, 563, 2026, 865, 1419, 538, 6935, 547, 8581, 267, 519, 3703, 2229, 5129, 513, 1079, 1922, 3166, 3014, 269, 2201, 835, 1688, 267, 1739, 519, 11023, 28002, 10985, 538, 5181, 476, 3192, 273, 267, 621, 3370, 513, 4901, 1957, 513, 4901, 1957, 634, 8892, 540, 8832, 8581, 281, 589, 7433, 585, 17564, 267, 538, 799, 621, 7150, 267, 538, 6935, 547, 1065, 691, 819, 912, 24679, 814, 1044, 11130, 602, 7156, 1522, 581, 2016, 547, 513, 9864, 610, 18106, 4483, 540, 16285, 2901, 538, 10923, 2474, 630, 773, 676, 22151, 547, 519, 9721, 6243, 1346, 2694, 540, 8832, 8581, 1141, 513, 5354, 538, 12797, 540, 971, 513, 4483, 6818, 264, 610, 538, 11758, 12302, 2474, 630, 1122, 267, 676, 12561, 513, 4806, 540, 4745, 19988, 5539, 585, 8832, 8581, 607, 5227, 676, 519, 4317, 14891, 543, 23267, 9549, 610, 676, 513, 10325, 540, 598, 3256, 514, 1756, 585, 799, 972, 616, 971, 9551, 757, 607, 519, 1715, 1261, 1962, 1938, 543, 1656, 528, 571, 1040, 1717, 9444, 540, 891, 6030, 952, 7550, 1510, 9844, 267, 1131, 581, 15095, 609, 519, 2769, 2262, 532, 540, 8791, 476, 272, 263, 273, 264, 540, 519, 8581, 2920, 267, 476, 3707, 280, 269, 5047, 519, 23055, 540, 513, 8087, 8581, 782, 3747, 513, 9322, 540, 519, 2898, 6532, 543, 1397, 1100, 1129, 540, 23928, 585, 1447, 281, 789, 1522, 1134, 2543, 519, 10661, 540, 513, 15866, 17557, 1533, 607, 606, 21677, 547, 9322, 4799, 3719, 593, 519, 824, 1688, 519, 3703, 2229, 31205, 9709, 585, 519, 1065, 691, 819, 540, 8832, 8581, 538, 519, 2013, 540, 796, 19055, 762, 5208, 1107, 1498, 519, 1544, 729, 15653, 607, 796, 1740, 762, 563, 303, 3639, 5950, 896, 519, 476, 1789, 4458, 268, 22364, 7000, 602, 519, 3703, 2229, 2808, 3001, 7366, 540, 5215, 540, 23597, 952, 789, 1223, 711, 3247, 519, 29083, 3392, 4115, 5208, 563, 257, 28269, 10579, 1261, 987, 729, 4843, 609, 513, 3126, 540, 3681, 1519, 513, 476, 1015, 22240, 1957, 1572, 834, 16446, 3863, 532, 519, 8473, 543, 2551, 4483, 8487, 2005, 6743, 693, 2436, 14081, 534, 5208, 1223, 581, 11074, 676, 912, 268, 18734, 2590, 2127, 609, 513, 7826, 5354, 547, 519, 6243, 540, 8581, 454, 268, 25021, 1367, 7826, 3885, 547, 519, 6243, 540, 8581, 454, 763, 4589, 16668, 909, 7851, 540, 875, 621, 1223, 960, 910, 1152, 547, 1265, 519, 2127, 4857, 585, 4483, 3769, 5458, 2338, 540, 14308, 1218, 563, 257, 2414, 4483, 519, 2898, 540, 519, 8513, 7178, 540, 519, 5211, 645, 2335, 1131, 2322, 476, 24487, 267, 1822, 23597, 543, 476, 25375, 267, 1822, 14308, 1218, 883, 519, 6243, 2437, 519, 1867, 1767, 563, 1103, 1840, 267, 519, 4589, 15861, 789, 1185, 1100, 2856, 875, 2551, 4483, 1223, 581, 4294, 547, 519, 5354, 540, 23597, 2713, 538, 645, 1409, 770, 610, 824, 4683, 2127, 4799, 763, 4566, 8659, 7851, 6029, 1312, 519, 2127, 602, 519, 3703, 2808, 547, 723, 7826, 2101, 885, 912, 4002, 519, 4493, 540, 713, 4786, 789, 4682, 593, 547, 5965, 513, 2048, 13678, 680, 1881, 685, 4786, 6029, 519, 2127, 547, 581, 524, 17660, 547, 519, 5045, 267, 2059, 609, 606, 7447, 540, 519, 17557, 543, 7826, 5095, 1198, 539, 269, 634, 7851, 2630, 616, 3144, 689, 519, 18917, 543, 949, 711, 8308, 2099, 519, 18747, 912, 763, 7194, 602, 519, 1544, 779, 1951, 1123, 338, 1031, 616, 7164, 267, 855, 27229, 3769, 519, 476, 3192, 272, 14829, 1107, 4922, 7911, 20799, 1540, 1107, 543, 2487, 9550, 2164, 269, 1703, 616, 930, 22114, 538, 519, 2079, 912, 268, 898, 2982, 2127, 899, 13648, 560, 1144, 607, 2348, 513, 2048, 26171, 7826, 2551, 8730, 5103, 519, 1249, 602, 538, 519, 2038, 476, 3192, 271, 338, 519, 8664, 1185, 513, 3982, 9769, 626, 5354, 281, 476, 6321, 269, 277, 260, 538, 476, 3192, 274, 269, 13648, 560, 1144, 8664, 1152, 8593, 883, 28929, 3946, 538, 476, 1960, 278, 563, 268, 898, 9709, 547, 1331, 10011, 1194, 1120, 538, 519, 4389, 8832, 8581, 267, 855, 711, 519, 30240, 1107, 543, 1454, 811, 9244, 9769, 626, 1107, 5087, 674, 9007, 27895, 267, 606, 1858, 602, 1869, 2221, 814, 513, 9769, 626, 5354, 563, 268, 898, 29737, 569, 2982, 9061, 332, 698, 6352, 607, 1373, 538, 2048, 3682, 11687, 656, 685, 8513, 267, 1498, 2283, 4601, 9709, 547, 1688, 621, 267, 543, 519, 2898, 540, 3162, 14022, 27895, 267, 547, 519, 14081, 563, 268, 898, 2982, 519, 9244, 28929, 9061, 3467, 667, 12788, 538, 14022, 27895, 607, 1373, 2048, 3682, 11687, 656, 685, 543, 9709, 547, 1832, 621, 538, 519, 4389, 8832, 8581, 1107, 5310, 547, 1683, 513, 8115, 547, 589, 7676, 333, 659, 331, 1195, 543, 519, 1849, 690, 615, 9503, 267, 1498, 891, 2127, 621, 849, 9709, 547, 524, 27827, 547, 519, 5045, 267, 5103, 741, 1287, 9769, 626, 5354, 563, 295, 611, 519, 1065, 691, 819, 2808, 676, 519, 3703, 2229, 538, 476, 3192, 273, 2097, 547, 1780, 621, 1131, 723, 2813, 607, 1082, 2042, 607, 621, 12479, 547, 8207, 269, 10871, 2213, 9769, 626, 2101, 885, 538, 5087, 674, 9007, 27895, 543, 13648, 560, 1144, 1131, 723, 1336, 2933, 2048, 2041, 16442, 10546, 3515, 8730, 1247, 519, 3084, 1235, 540, 9061, 3467, 1131, 723, 1336, 2933, 1869, 538, 8832, 8581, 5103, 1373, 11303, 593, 1614, 5011, 676, 519, 6243, 269, 1703, 1131, 723, 1044, 513, 1279, 543, 11991, 14816, 540, 2048, 301, 4899, 8581, 685, 15198, 1524, 519, 7532, 4871, 540, 519, 674, 1195, 548, 547, 10011, 1194, 1120, 630, 663, 1519, 853, 4599, 2033, 14386, 585, 1100, 24534, 2601, 563, 763, 476, 3192, 273, 1544, 729, 5310, 513, 1434, 1383, 540, 1946, 8832, 8581, 568, 2760, 1360, 1134, 7307, 676, 519, 3703, 1107, 789, 2408, 547, 1205, 2241, 5013, 4636, 267, 5103, 741, 5732, 24037, 4539, 563, 314, 9202, 2022, 281, 519, 772, 6395, 779, 1684, 1682, 1485, 4643, 316 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27288, 5158, 11094, 22851, 538, 4294, 1382, 543, 2488, 1344, 267, 3872, 2326, 543, 3292, 1759, 593, 1699, 1382, 547, 3895, 7320, 5726, 1519, 3646, 547, 1732, 1174, 519, 5222, 540, 9897, 543, 28565, 593, 7320, 543, 8134, 543, 547, 1020, 543, 6218, 2553, 585, 19086, 1346, 5222, 563, 763, 1863, 267, 2228, 267, 1582, 19550, 267, 7317, 1982, 729, 2813, 547, 948, 2038, 1126, 3249, 7855, 267, 3536, 16291, 5234, 267, 13538, 543, 3237, 1174, 519, 2956, 540, 4227, 519, 1981, 540, 1426, 3106, 1644, 547, 4195, 5613, 543, 5388, 585, 1762, 1453, 269, 634, 1982, 2882, 2947, 4559, 281, 12426, 547, 18014, 11588, 267, 18610, 21277, 576, 543, 5253, 13871, 29520, 24093, 267, 5253, 8881, 17943, 585, 519, 15858, 543, 519, 28881, 267, 5253, 8881, 543, 29972, 11242, 267, 543, 5253, 8881, 593, 12197, 10222, 1186, 547, 10787, 916, 543, 26478, 685, 10369, 269, 15026, 2200, 971, 607, 7454, 13756, 454, 257, 7712, 519, 476, 2735, 271, 781, 267, 519, 4872, 540, 8899, 749, 543, 22118, 333, 267, 12590, 723, 1831, 1753, 547, 1804, 2338, 540, 5449, 15076, 689, 25591, 269, 8899, 749, 568, 1753, 547, 519, 2034, 4102, 2551, 540, 18095, 617, 2103, 538, 519, 2136, 2276, 269, 2859, 982, 3368, 540, 782, 18095, 617, 1014, 4892, 2661, 2630, 519, 6710, 1899, 543, 513, 1713, 1297, 616, 693, 1164, 1981, 585, 1426, 22584, 543, 14000, 269, 5253, 22584, 814, 1044, 2404, 609, 4965, 267, 4057, 25050, 22021, 6981, 267, 543, 8377, 1851, 2021, 540, 10285, 2085, 563, 763, 11556, 2319, 540, 519, 29550, 540, 12590, 267, 19051, 267, 28599, 543, 26658, 2832, 547, 948, 24644, 519, 4104, 539, 2244, 3490, 676, 2324, 547, 2327, 602, 513, 1713, 8167, 540, 674, 23859, 3338, 616, 5293, 689, 835, 5108, 540, 2244, 14935, 547, 519, 1985, 609, 8766, 2179, 540, 4104, 7503, 543, 1612, 4897, 1436, 269, 634, 1382, 5057, 540, 713, 1788, 786, 946, 2244, 26782, 11042, 543, 513, 13875, 5619, 547, 1732, 1174, 875, 674, 293, 11675, 1118, 3664, 827, 519, 2104, 540, 741, 2244, 563, 22709, 11637, 814, 936, 476, 272, 267, 1822, 25210, 6721, 8511, 7031, 538, 476, 1321, 2929, 4009, 3952, 540, 6870, 3395, 2230, 630, 1220, 273, 17227, 540, 11982, 1040, 4107, 540, 12590, 685, 3039, 17346, 616, 12699, 609, 2901, 4492, 3282, 610, 5277, 4412, 2033, 269, 2755, 972, 616, 1100, 6109, 5515, 2139, 267, 649, 7447, 602, 2698, 946, 540, 8093, 10173, 585, 8511, 3002, 568, 6697, 547, 5176, 476, 272, 2929, 17529, 540, 4492, 3282, 267, 609, 5434, 538, 519, 2039, 540, 476, 2420, 2929, 6550, 540, 2910, 273, 12422, 563, 6624, 1507, 543, 5420, 12696, 543, 21932, 616, 4299, 676, 519, 2487, 6388, 540, 519, 5253, 8881, 7073, 1436, 2920, 630, 12396, 7246, 264, 7939, 607, 519, 4540, 2866, 1281, 711, 2232, 875, 547, 3313, 10220, 543, 17648, 602, 1507, 543, 5420, 1426, 21932, 630, 306, 6573, 338, 264, 2253, 2866, 609, 513, 3490, 1377, 540, 1426, 3106, 1702, 602, 1082, 590, 6573, 338, 798, 711, 723, 269, 901, 1788, 10953, 3015, 267, 4336, 29003, 267, 30973, 6404, 2173, 4215, 1543, 547, 1683, 590, 6573, 338, 609, 519, 1344, 789, 991, 547, 1732, 1174, 875, 547, 2936, 16473, 633, 6513, 338, 630, 15425, 264, 538, 741, 1426, 4213, 563, 20779, 663, 585, 4195, 267, 2199, 16719, 538, 5162, 568, 3970, 1652, 267, 543, 2504, 568, 711, 5176, 5870, 3747, 267, 8204, 513, 5458, 4316, 547, 2333, 2883, 6940, 540, 1367, 11396, 543, 1426, 1949, 269, 17497, 267, 972, 568, 513, 7934, 538, 1702, 2066, 938, 3148, 827, 12136, 267, 7350, 267, 543, 2359, 540, 1524, 344, 7646, 31974, 540, 5162, 16719, 267, 543, 649, 616, 15877, 585, 2413, 267, 3608, 21364, 16719, 2504, 1949, 269, 1452, 1079, 2188, 616, 12145, 3484, 8907, 543, 20656, 267, 543, 12145, 7082, 1569, 547, 4195, 267, 2199, 16719, 1032, 5180, 563, 18719, 1324, 2359, 540, 19293, 584, 4226, 3676, 267, 2523, 19293, 584, 4226, 1524, 344, 7646, 1168, 630, 7374, 300, 1070, 814, 1044, 9846, 4857, 676, 25210, 543, 21932, 538, 10790, 607, 513, 2101, 1382, 10862, 538, 519, 2250, 4557, 1296, 269, 769, 476, 1220, 275, 267, 1007, 12490, 540, 7131, 300, 8452, 799, 1185, 7753, 4187, 602, 729, 1287, 3044, 538, 782, 29475, 8677, 543, 18113, 6417, 519, 2068, 563, 10932, 5741, 5729, 281, 476, 1001, 275, 454, 20181, 4829, 543, 10448, 6981, 568, 6444, 607, 513, 1713, 1981, 3815, 585, 4057, 1072, 4093, 1519, 606, 2799, 1981, 540, 14968, 543, 8377, 543, 7766, 1071, 2173, 27225, 885, 971, 607, 13119, 267, 3987, 543, 2295, 2068, 269, 23207, 4829, 543, 10448, 6981, 5713, 607, 513, 8825, 3815, 1996, 8377, 543, 5312, 2068, 269, 634, 2949, 3804, 540, 713, 1788, 568, 547, 2333, 519, 4616, 540, 5613, 543, 5388, 538, 513, 3077, 2146, 676, 10128, 6791, 538, 11982, 267, 5253, 7457, 267, 543, 12594, 4065, 5752, 269, 0, 298, 5684, 619, 5652, 4966, 723, 13890, 519, 1283, 2185, 4757, 1085, 600, 4798, 543, 12485, 4867, 11342, 538, 519, 5664, 5101, 267, 5695, 7288, 6614, 267, 543, 4000, 3148, 630, 300, 4953, 288, 1040, 634, 1085, 4461, 5031, 1114, 1514, 4702, 2553, 1031, 676, 6880, 322, 3234, 10904, 267, 2705, 519, 6662, 3788, 519, 1482, 267, 799, 568, 547, 1303, 823, 5667, 639, 1051, 532, 9601, 543, 21102, 741, 2123, 543, 2883, 1344, 563, 4942, 5109, 3788, 519, 1034, 1455, 1826, 540, 1514, 4702, 4323, 269, 4340, 547, 519, 1975, 600, 543, 1912, 5109, 538, 476, 1708, 273, 1867, 267, 918, 5684, 619, 5652, 779, 4550, 14428, 5109, 1062, 555, 342, 14975, 936, 476, 4335, 2929, 8942, 547, 1569, 30081, 7270, 11451, 538, 476, 1708, 273, 269, 769, 519, 631, 4953, 288, 3148, 267, 649, 1294, 602, 713, 1826, 540, 3463, 568, 3395, 936, 942, 281, 519, 2034, 10116, 540, 476, 1708, 274, 4718, 476, 273, 2053, 811, 630, 9340, 260, 2333, 264, 26122, 3713, 687, 538, 6476, 547, 519, 1101, 10116, 540, 476, 1708, 274, 630, 14631, 260, 2333, 538, 3162, 4000, 267, 476, 13970, 260, 2333, 538, 15057, 543, 476, 10219, 260, 2333, 538, 13280, 1916, 763, 2185, 4757, 1085, 4461, 4330, 2417, 24320, 1047, 2933, 547, 723, 2097, 689, 11967, 2959, 267, 8945, 532, 741, 23700, 883, 6679, 519, 15737, 267, 14467, 593, 17351, 6402, 610, 23842, 5739, 27589, 563, 308, 526, 601, 9121, 1612, 26118, 281, 4112, 334, 1746, 1480, 7279, 267, 1082, 1004, 723, 4607, 15737, 543, 1257, 6835, 689, 2022, 531, 543, 4172, 8175, 2533, 3246, 6402, 547, 6166, 8569, 610, 547, 5667, 889, 18285, 269, 8437, 532, 593, 891, 6402, 28570, 338, 2043, 547, 513, 16995, 2985, 602, 2848, 1023, 6213, 1344, 563, 15447, 2659, 21436, 630, 298, 312, 290, 2567, 15536, 322, 3234, 10904, 723, 1044, 30286, 607, 7986, 8492, 31392, 1004, 547, 2347, 918, 312, 290, 19027, 547, 16783, 609, 2883, 6042, 610, 2057, 20022, 540, 8852, 269, 634, 6662, 1934, 568, 547, 17908, 1480, 4250, 676, 10223, 1913, 971, 607, 968, 4026, 550, 892, 538, 519, 4757, 547, 13861, 9601, 269, 634, 3898, 543, 1374, 540, 519, 4757, 267, 543, 519, 918, 312, 290, 3095, 2408, 547, 1413, 8076, 547, 11617, 8945, 1004, 563, 4462, 639, 783, 4757, 2272, 2845, 2987, 2534, 281, 1452, 16995, 25887, 9206, 7301, 1129, 2987, 270, 8421, 2987, 2534, 883, 606, 1367, 779, 4757, 2272, 543, 1683, 513, 3095, 547, 1867, 519, 3593, 269, 634, 4757, 2882, 1129, 2987, 3877, 971, 607, 2197, 267, 7379, 2232, 267, 4266, 543, 11422, 799, 1118, 519, 10332, 2408, 16048, 543, 2014, 5855, 269, 21676, 9482, 609, 519, 3486, 2951, 4005, 267, 713, 1085, 600, 6249, 666, 2333, 519, 6880, 322, 17964, 1967, 2557, 563, 10403, 2724, 281, 1452, 30081, 15737, 1404, 593, 2609, 540, 1480, 26846, 543, 7279, 269, 15536, 322, 3234, 10904, 3801, 547, 18609, 1004, 547, 1930, 513, 17351, 4757, 13613, 1644, 547, 2724, 12074, 269, 769, 4641, 267, 519, 13613, 568, 606, 14103, 2985, 602, 28570, 338, 519, 6408, 547, 513, 16995, 9786, 31326, 2985, 547, 21102, 4757, 22754, 563, 763, 1657, 12485, 616, 1634, 607, 1514, 4702, 2553, 269, 4317, 4702, 568, 513, 12879, 4480, 3710, 593, 875, 1004, 1589, 543, 957, 269, 901, 3322, 606, 4757, 610, 1257, 5048, 5910, 2056, 547, 581, 689, 513, 11967, 2707, 269, 4495, 513, 6880, 322, 17964, 17358, 1018, 4665, 919, 606, 1367, 779, 3527, 267, 789, 2119, 547, 17908, 741, 3668, 540, 1702, 543, 13861, 741, 7180, 547, 2743, 519, 1439, 3804, 563, 29467, 568, 1100, 2460, 540, 938, 1272, 602, 6880, 322, 3234, 10904, 3112, 17908, 269, 5274, 7180, 543, 7553, 568, 1100, 9868, 269, 1452, 1085, 4461, 616, 513, 1267, 540, 12879, 1759, 593, 4250, 267, 7279, 543, 26846, 269, 634, 1883, 1491, 12537, 568, 547, 2628, 3007, 547, 2596, 3877, 538, 15737, 1354, 14775, 267, 1256, 952, 789, 616, 689, 11967, 2959, 267, 1317, 835, 4636, 4945, 666, 1291, 547, 10792, 4539, 892, 29499, 8575, 615, 26232, 719, 267, 8048, 8232, 1763, 792, 7815, 693, 918, 5684, 619, 5652, 563, 2414, 16102, 3054, 1996, 971, 1085, 4461, 267, 918, 5684, 619, 5652, 4966, 4363, 519, 1739, 912, 268, 6875, 513, 6251, 1413, 693, 519, 30699, 779, 2012, 543, 4757, 2232, 1354, 1065, 2391, 547, 15737, 563, 268, 6733, 856, 585, 1462, 657, 538, 519, 1560, 540, 519, 4757, 543, 1641, 1899, 563, 268, 2422, 513, 1434, 28417, 6882, 563, 268, 24344, 707, 3926, 609, 11967, 28456, 3301, 971, 607, 918, 5684, 619, 5652, 20031, 1756, 547, 948, 6895, 707, 4757, 4216, 543, 3625, 26122, 8942, 563, 268, 12315, 3054, 942, 547, 1589, 1354, 1373, 2604, 323, 883, 1065, 2391, 547, 606, 4757, 563, 268, 1403, 8969, 26251, 267, 3346, 519, 7255, 6392, 547, 11028, 325, 3305, 519, 7662, 269, 0, 296, 729, 5063, 2542, 10793, 681, 269, 28418, 262, 3210, 593, 713, 8468, 281, 16393, 519, 6276, 30197, 6611, 23571, 3713, 19777, 793, 1023, 593, 608, 26979, 1115, 888, 1103, 606, 4998, 3510, 630, 25669, 3168, 693, 10338, 3515, 540, 513, 2706, 268, 24160, 264, 972, 616, 1082, 834, 321, 1470, 1606, 793, 2137, 2580, 855, 835, 540, 519, 15864, 547, 3713, 1131, 581, 606, 17645, 1899, 538, 519, 18342, 269, 1635, 3294, 267, 713, 1131, 711, 581, 6169, 267, 1256, 1498, 972, 1131, 991, 547, 581, 513, 3586, 25579, 5109, 2707, 540, 744, 273, 538, 519, 5790, 547, 2226, 519, 744, 274, 269, 1403, 15655, 1223, 849, 581, 1336, 649, 1223, 1318, 569, 1205, 966, 28475, 9599, 2094, 15655, 543, 5135, 1810, 1405, 1071, 7721, 626, 1360, 1134, 563, 9223, 281, 4208, 9327, 1405, 744, 274, 7020, 581, 6169, 286, 1772, 972, 1022, 1875, 1532, 8344, 1184, 910, 2907, 4767, 610, 7811, 910, 5827, 540, 10451, 744, 273, 593, 513, 19236, 4336, 609, 6190, 1526, 3599, 547, 2226, 606, 744, 274, 4494, 888, 7343, 30068, 972, 616, 7811, 3157, 602, 1223, 2965, 5352, 744, 273, 538, 519, 9000, 540, 1272, 269, 594, 1175, 1810, 1405, 917, 952, 621, 781, 8810, 281, 21419, 807, 949, 3132, 705, 8438, 5135, 4694, 12742, 593, 3110, 3386, 608, 26979, 1115, 1923, 11660, 18614, 0, 290, 7614, 690, 9612, 11778, 454, 11742, 21509, 11473, 543, 27657, 454, 300, 525, 19373, 807, 281, 634, 5072, 540, 519, 1158, 781, 2101, 10764, 9114, 538, 519, 23898, 540, 27859, 781, 674, 1068, 850, 595, 29266, 269, 16329, 5505, 267, 8385, 10478, 585, 519, 12567, 540, 3798, 523, 543, 4609, 540, 824, 19978, 2984, 267, 723, 11552, 691, 1117, 10881, 547, 519, 4332, 540, 10340, 543, 4872, 10362, 547, 922, 1101, 1390, 23693, 269, 9040, 2643, 8205, 540, 519, 6014, 31519, 729, 28263, 676, 519, 10806, 540, 28435, 6319, 267, 799, 729, 3294, 28263, 676, 5681, 518, 267, 543, 519, 1101, 2749, 734, 21589, 269, 9147, 5527, 281, 1862, 0, 2691, 1058, 594, 1376, 1148, 4245, 286, 1215, 798, 594, 979, 827, 20392, 1250, 1453, 547, 1148, 286, 1548, 616, 519, 2640, 540, 1148, 286, 1452, 616, 782, 2055, 1004, 2307, 827, 1148, 4245, 543, 1762, 1453, 563, 2026, 4166, 607, 1453, 616, 2025, 2614, 547, 581, 5461, 538, 1148, 543, 723, 2614, 5386, 5179, 1983, 547, 9787, 513, 22916, 517, 610, 25879, 2250, 601, 267, 789, 666, 2253, 3257, 1148, 563, 6524, 649, 979, 883, 875, 547, 6338, 873, 547, 1148, 543, 2671, 930, 1187, 267, 2085, 29003, 4245, 267, 621, 568, 1898, 547, 4063, 602, 1148, 1058, 581, 1175, 585, 1187, 269, 1703, 1058, 581, 1100, 2604, 593, 891, 1762 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22839, 689, 3923, 547, 3923, 538, 1312, 7187, 543, 7013, 8280, 7371, 12742, 269, 634, 25274, 3812, 7851, 616, 3226, 2312, 267, 609, 6801, 10502, 21092, 2687, 547, 741, 21386, 543, 6698, 8204, 2620, 1606, 5652, 3615, 971, 607, 683, 12712, 2801, 543, 15270, 563, 2691, 519, 3047, 729, 25065, 454, 5472, 519, 645, 1080, 540, 3163, 1284, 20944, 654, 3994, 454, 2704, 17057, 1235, 538, 3406, 540, 4154, 282, 5493, 2801, 2632, 5505, 538, 3406, 540, 513, 884, 4109, 2048, 332, 1170, 532, 3095, 685, 538, 519, 12105, 5832, 282, 10136, 8840, 1900, 593, 13123, 281, 3400, 30937, 18496, 12538, 883, 519, 1686, 540, 891, 543, 1082, 824, 8320, 540, 3621, 4636, 32567, 1145, 267, 16439, 519, 10419, 21116, 543, 7713, 875, 789, 3893, 621, 4636, 269, 1261, 849, 3181, 16218, 513, 30162, 540, 2442, 4978, 267, 689, 22968, 2206, 619, 8840, 4837, 547, 29047, 682, 7825, 902, 563, 763, 772, 1440, 697, 6056, 619, 454, 763, 5274, 17714, 3245, 12389, 538, 19029, 547, 4197, 519, 15328, 21573, 454, 8867, 517, 731, 631, 331, 617, 514, 578, 267, 1655, 18522, 2278, 630, 5976, 15537, 8316, 6362, 264, 540, 634, 9835, 5071, 267, 15244, 519, 1480, 1412, 617, 903, 8124, 540, 6602, 3299, 689, 4358, 547, 3802, 20005, 547, 2230, 2951, 269, 22716, 1944, 519, 9322, 540, 1702, 543, 519, 3860, 20949, 267, 646, 9388, 1101, 609, 519, 4720, 540, 519, 1480, 2634, 543, 519, 20882, 547, 1174, 282, 1287, 6257, 519, 1646, 540, 519, 2182, 9443, 909, 547, 519, 2038, 476, 736, 628, 2540, 282, 543, 6368, 12220, 519, 12825, 3356, 540, 2257, 543, 2029, 2094, 519, 6602, 540, 7061, 6323, 563, 763, 667, 836, 2730, 2353, 675, 540, 519, 1133, 16308, 454, 1692, 1131, 596, 3035, 1045, 529, 2225, 286, 1403, 596, 1223, 1831, 15865, 267, 1018, 1131, 596, 798, 286, 1548, 2591, 1131, 596, 3068, 286, 1452, 616, 17506, 6053, 4241, 2055, 267, 9870, 5837, 21140, 543, 20872, 3621, 13753, 607, 1134, 607, 11121, 1082, 14868, 543, 17691, 827, 9059, 14034, 543, 27972, 6545, 540, 1045, 529, 2225, 269, 901, 2647, 8573, 4474, 2686, 1686, 540, 519, 1523, 540, 1045, 529, 2225, 5088, 806, 18573, 543, 670, 294, 28243, 267, 10120, 1624, 738, 1143, 543, 7061, 3069, 267, 18410, 30944, 262, 26145, 543, 519, 9804, 31491, 720, 1031, 593, 4108, 9635, 269, 0, 2304, 3872, 16968, 585, 519, 4630, 2684, 2158, 1079, 267, 1932, 267, 543, 547, 563, 11514, 2452, 713, 16968, 538, 707, 4928, 950, 3168, 693, 4630, 2684, 2158, 543, 741, 1114, 10096, 543, 29745, 563, 268, 1079, 1107, 513, 1297, 6719, 676, 2048, 273, 20371, 268, 1932, 1107, 538, 4430, 610, 849, 454, 268, 547, 1107, 5631, 1031, 607, 513, 840, 6570, 610, 30163, 454, 8196, 713, 538, 14966, 609, 938, 3573, 2039, 540, 3872, 4630, 2684, 2158, 2200, 563, 12606, 713, 4199, 607, 851, 540, 513, 3677, 4199, 3640, 610, 5149, 4643, 563, 23945, 547, 8300, 1169, 1126, 609, 7366, 540, 4116, 4058, 543, 9716, 29654, 610, 835, 540, 1079, 20519, 6529, 518, 2835, 269, 5192, 707, 1863, 1433, 609, 513, 17546, 9578, 1544, 269, 10000, 14079, 547, 17546, 9578, 543, 3409, 9890, 6258, 811, 454, 10403, 25529, 518, 7734, 16301, 1299, 17148, 281, 634, 1863, 6529, 518, 1433, 2709, 568, 1152, 2139, 585, 476, 272, 3409, 829, 3742, 9578, 1299, 31597, 1544, 2818, 1282, 519, 30572, 1974, 862, 9760, 593, 519, 476, 277, 628, 5412, 476, 1001, 280, 543, 32195, 950, 13632, 2196, 856, 269, 1677, 3409, 519, 30572, 10516, 267, 3409, 1218, 1590, 19472, 741, 2022, 531, 2232, 3842, 938, 2228, 1106, 269, 17546, 853, 6621, 14425, 519, 1318, 547, 1689, 267, 18985, 610, 1439, 513, 13319, 693, 1022, 942, 1510, 5469, 563, 13349, 11759, 15099, 12972, 454, 8196, 6671, 10259, 585, 1164, 23151, 543, 824, 6594, 1913, 543, 585, 4946, 21879, 525, 547, 3490, 1913, 630, 324, 3052, 1421, 9361, 267, 20493, 267, 1835, 625, 267, 8788, 1916, 28557, 569, 946, 4749, 11821, 1913, 630, 324, 3052, 1421, 547, 267, 1932, 267, 1079, 282, 972, 267, 741, 1040, 20330, 8967, 749, 3446, 29003, 1913, 7157, 267, 17874, 8100, 607, 2877, 563, 8340, 811, 2200, 585, 891, 3584, 454, 26473, 652, 513, 1689, 454, 2791, 1590, 581, 29429, 538, 547, 7662, 513, 1689, 269, 6178, 909, 1631, 2336, 27751, 606, 18438, 454, 2791, 1590, 581, 29429, 538, 547, 1867, 606, 5470, 269, 6178, 909, 1631, 256, 0, 288, 269, 2422, 6888, 540, 31527, 28721, 454, 272, 269, 12197, 540, 1426, 454, 2252, 596, 4076, 14437, 28252, 540, 30691, 538, 519, 2361, 540, 1426, 267, 519, 1893, 568, 711, 513, 6986, 8652, 21666, 15042, 267, 855, 513, 2370, 9962, 12077, 11950, 269, 2961, 8510, 6233, 616, 7135, 540, 3327, 267, 7250, 543, 5135, 616, 1459, 538, 2470, 269, 3509, 11950, 723, 519, 12170, 4542, 8863, 273, 302, 563, 15650, 540, 11950, 454, 12507, 657, 21839, 728, 568, 513, 19346, 519, 14724, 602, 666, 711, 581, 29230, 7458, 883, 4130, 19346, 6675, 1586, 563, 10908, 26651, 1315, 4006, 9174, 568, 4922, 2139, 538, 5613, 267, 8970, 267, 543, 9932, 563, 2467, 535, 28229, 1927, 609, 7280, 543, 7319, 13427, 538, 5613, 543, 9932, 563, 29727, 716, 846, 267, 519, 2707, 666, 581, 5833, 689, 519, 29230, 7458, 26178, 12536, 998, 938, 1426, 563, 11514, 21839, 728, 568, 513, 19346, 602, 568, 7768, 540, 1079, 1395, 657, 30828, 563, 300, 5306, 846, 630, 6921, 26651, 1341, 7280, 1070, 666, 711, 581, 3362, 25496, 676, 3935, 545, 4551, 267, 621, 568, 1031, 538, 4816, 1426, 267, 5144, 8869, 682, 822, 2989, 3694, 630, 7356, 1540, 5144, 994, 299, 716, 846, 630, 6921, 26651, 1341, 7523, 716, 846, 1070, 1336, 538, 10800, 779, 5144, 543, 476, 276, 268, 279, 260, 538, 519, 3993, 779, 5144, 563, 306, 1075, 13427, 630, 6921, 26651, 1341, 535, 28229, 1070, 4006, 568, 3339, 269, 1879, 12699, 547, 1106, 538, 3200, 4006, 1572, 1286, 14712, 6960, 269, 13242, 585, 519, 5478, 540, 4672, 8645, 267, 2571, 10425, 267, 543, 17711, 563, 21691, 903, 21839, 728, 568, 513, 19346, 7768, 540, 1082, 1395, 657, 30828, 269, 2422, 6888, 540, 30691, 593, 30713, 30828, 538, 1426, 971, 607, 7573, 267, 20566, 267, 8970, 267, 3092, 10756, 273, 269, 1280, 7802, 454, 8170, 8652, 21666, 1570, 602, 1223, 581, 1031, 585, 7802, 568, 623, 14011, 630, 20580, 1881, 512, 699, 20953, 545, 3679, 1070, 799, 568, 1500, 540, 16948, 14870, 22005, 538, 799, 519, 1570, 568, 9247, 737, 14058, 2940, 630, 12027, 657, 2940, 1040, 918, 14058, 2940, 568, 782, 540, 519, 1570, 4646, 883, 23599, 7135, 267, 26759, 16948, 14870, 22005, 454, 303, 4673, 14870, 22005, 568, 1287, 12444, 1242, 1210, 2011, 883, 519, 623, 14011, 630, 5408, 4786, 1657, 4620, 10635, 8707, 1184, 1040, 2986, 623, 14011, 8032, 899, 28052, 550, 8869, 568, 1287, 2746, 539, 609, 8715, 12935, 883, 4874, 6856, 11103, 269, 661, 3122, 4874, 6775, 602, 568, 519, 10991, 20612, 602, 5654, 899, 8142, 269, 20290, 782, 26977, 19946, 949, 5957, 1500, 540, 4874, 6856, 269, 1677, 7520, 741, 8446, 666, 581, 2938, 689, 519, 3902, 269, 31245, 540, 7802, 1500, 540, 10991, 4874, 6856, 586, 541, 985, 616, 2356, 5266, 14949, 982, 7802, 1500, 689, 6151, 10412, 267, 16536, 610, 824, 2067, 11103, 269, 5685, 8864, 540, 1570, 1500, 689, 4874, 6856, 11103, 4299, 676, 19605, 630, 5417, 1438, 264, 538, 519, 1184, 540, 1818, 20612, 630, 15290, 32232, 609, 8715, 12935, 623, 14011, 1040, 24511, 267, 972, 616, 1866, 945, 849, 546, 756, 684, 31703, 22169, 585, 519, 5478, 540, 10991, 11103, 32067, 610, 29779, 1586, 269, 661, 326, 6775, 1543, 1570, 585, 7254, 3202, 23040, 9469, 269, 634, 12249, 568, 1500, 540, 4874, 26120, 563, 274, 269, 12197, 4604, 454, 19465, 2326, 6508, 689, 30691, 538, 2489, 519, 1106, 540, 5068, 269, 21311, 3490, 1570, 2147, 547, 700, 22333, 267, 799, 568, 513, 12249, 540, 4412, 22005, 267, 519, 522, 548, 21129, 7623, 1315, 620, 5287, 525, 540, 3327, 11800, 595, 274, 269, 2986, 5068, 1570, 568, 1287, 865, 2647, 267, 8151, 689, 519, 8122, 540, 519, 2777, 630, 27415, 17981, 1070, 11647, 267, 9703, 3937, 267, 536, 32658, 1286, 267, 7515, 267, 23107, 267, 10824, 267, 3092, 10756, 275, 269, 634, 6575, 454, 2690, 6927, 540, 1148, 267, 2523, 7206, 267, 519, 1292, 1909, 540, 30691, 2291, 538, 519, 13504, 1315, 3282, 5862, 543, 19857, 269, 9320, 519, 14552, 6785, 25182, 1031, 547, 6094, 519, 5862, 269, 7843, 1602, 531, 12602, 17001, 585, 1082, 540, 519, 18810, 616, 1500, 689, 5068, 610, 512, 5268, 625, 267, 3092, 907, 31527, 21666, 30177, 1031, 585, 19267, 1500, 540, 8899, 589, 668, 1738, 6519, 13336, 568, 513, 19857, 610, 15829, 16703, 4611, 689, 623, 1068, 600, 2088, 1201, 10320, 538, 1773, 1690, 340, 609, 513, 14495, 1448, 2039, 1063, 476, 13970, 334, 595, 1107, 476, 4198, 334, 595, 269, 15829, 16703, 554, 573, 549, 330, 12365, 344, 836, 1106, 19857, 7623, 568, 513, 7848, 540, 1612, 3530, 514, 267, 7814, 641, 541, 3530, 1231, 267, 543, 23599, 30691, 563, 272, 269, 2974, 1464, 543, 5888, 540, 30691, 538, 4948, 1272, 666, 581, 19882, 538, 519, 2361, 540, 1426, 267, 7802, 267, 8027, 267, 16450, 267, 1148, 267, 543, 15312, 563, 273, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 1426, 602, 568, 538, 519, 16087, 563, 274, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 7802, 568, 623, 14011, 630, 20580, 1881, 512, 699, 20953, 545, 3679, 1070, 799, 568, 1500, 540, 16948, 14870, 22005, 538, 799, 519, 1570, 568, 9247, 737, 14058, 2940, 630, 12027, 657, 2940, 1916, 275, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 519, 4604, 568, 513, 12249, 540, 4412, 22005, 267, 519, 522, 548, 21129, 7623, 1315, 620, 5287, 525, 540, 3327, 11800, 595, 274, 563, 276, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 6575, 281, 519, 1292, 1909, 540, 30691, 2291, 538, 519, 13504, 1315, 3282, 5862, 543, 19857, 563, 277, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 15312, 267, 1851, 1866, 281, 9067, 22496, 267, 14589, 532, 630, 327, 1515, 8851, 1210, 513, 3723, 23156, 264, 543, 824, 5820, 11544, 23815, 267, 14453, 610, 21489, 32432, 563, 278, 269, 8891, 10635, 8707, 2872, 568, 519, 1267, 540, 1570, 2861, 3282, 543, 2067, 3154, 269, 2368, 1806, 616, 519, 4620, 10635, 8707, 15229, 267, 1033, 10235, 267, 543, 5841, 12285, 563, 279, 269, 8891, 10635, 8707, 2596, 2326, 666, 581, 522, 548, 325, 1231, 267, 543, 23599, 861, 3766, 553, 563, 22134, 549, 28721, 281, 3281, 2432, 7768, 540, 3327, 543, 7250, 8444, 540, 3327, 8444, 563, 10111, 8510, 6233, 281, 589, 7623, 540, 3327, 267, 7250, 543, 5135, 616, 1336, 538, 2470, 602, 814, 519, 12170, 4542, 8863, 273, 302, 563, 30821, 10635, 8707, 6080, 281, 4620, 10635, 8707, 2872, 568, 606, 2872, 602, 2326, 6508, 689, 519, 4492, 2872, 267, 13005, 19386, 3154, 630, 11499, 3154, 1916, 302, 548, 21129, 281, 634, 2596, 5820, 616, 519, 1034, 1271, 4620, 10635, 8707, 338, 899, 2802, 22005, 630, 9220, 928, 1070, 4412, 22005, 630, 335, 1886, 2940, 1070, 855, 22005, 630, 8117, 2940, 1070, 543, 855, 611, 1329, 324, 563, 288, 668, 1738, 281, 5484, 345, 2940, 543, 2881, 684, 1415, 320, 1383, 22904, 2940, 630, 290, 277, 295, 277, 1070, 547, 1663, 2940, 630, 290, 277, 295, 276, 6224, 274, 1070, 543, 1535, 22005, 630, 290, 277, 295, 275, 630, 6224, 274, 264, 476, 273, 994, 306, 24678, 3154, 281, 589, 7848, 540, 3327, 24785, 630, 4596, 264, 543, 7250, 630, 295, 273, 264, 0, 18217, 273, 547, 918, 273, 994, 5978, 18014, 6437, 5360, 625, 5702, 609, 17834, 292, 779, 12729, 3427, 4457, 5678, 15099, 267, 18113, 8600, 707, 1126, 585, 741, 12729, 2069, 563, 12218, 525, 616, 9447, 24482, 543, 10483, 676, 15931, 946, 540, 3450, 11226, 971, 607, 562, 584, 8124, 30053, 267, 1913, 6486, 543, 3381, 24056, 269, 769, 1362, 267, 1453, 616, 9415, 547, 946, 2241, 3527, 543, 11132, 7215, 585, 5559, 26494, 547, 3035, 1732, 1565, 2833, 269, 18766, 689, 1565, 267, 649, 849, 1445, 593, 14237, 1434, 5837, 2418, 543, 6208, 538, 938, 1453, 563, 27456, 272, 547, 623, 274, 994, 5978, 13722, 12729, 5049, 616, 1759, 593, 17834, 292, 779, 12729, 3427, 4457, 15099, 630, 31863, 1299, 14451, 4457, 264, 543, 616, 2141 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17807, 814, 513, 3897, 2460, 267, 602, 521, 902, 513, 581, 342, 26677, 543, 581, 32612, 1359, 590, 790, 985, 685, 5152, 547, 19936, 945, 1413, 585, 547, 4194, 922, 16221, 13655, 269, 13562, 12002, 3277, 547, 1175, 835, 540, 922, 3226, 2502, 13655, 607, 519, 968, 323, 1046, 880, 2339, 6100, 901, 568, 5631, 1317, 789, 616, 968, 514, 519, 4158, 892, 827, 922, 2953, 2470, 269, 16480, 267, 513, 2603, 540, 3744, 2303, 602, 519, 4158, 3390, 568, 606, 2189, 543, 15792, 15293, 569, 1543, 602, 666, 711, 581, 14754, 267, 1317, 621, 1281, 711, 7544, 609, 1769, 27954, 610, 1022, 824, 1106, 540, 13590, 5982, 269, 8616, 267, 1256, 4352, 519, 3897, 8631, 568, 15865, 267, 19936, 7363, 1745, 602, 621, 9090, 1281, 20807, 519, 17807, 2094, 621, 11851, 338, 606, 28507, 14965, 1764, 593, 3615, 602, 666, 581, 8068, 1700, 10472, 2186, 540, 607, 535, 30711, 6801, 543, 519, 5863, 15270, 602, 23029, 873, 269, 769, 5412, 476, 1001, 279, 267, 513, 13781, 540, 19936, 5189, 602, 741, 1007, 1382, 540, 26931, 18740, 23571, 630, 295, 4306, 264, 5961, 1223, 1459, 606, 2629, 1900, 4724, 27283, 713, 21792, 267, 16678, 7623, 267, 18867, 17766, 1007, 9543, 593, 922, 12357, 543, 5728, 633, 2470, 269, 10435, 946, 540, 670, 4306, 779, 2250, 7422, 540, 513, 476, 2004, 2600, 18797, 1804, 14925, 13421, 538, 519, 13571, 1512, 29425, 1544, 267, 519, 19936, 9672, 602, 12499, 743, 13831, 7646, 1700, 1492, 1769, 543, 27556, 16657, 602, 695, 9404, 619, 538, 1063, 1367, 15270, 3330, 540, 513, 12440, 1700, 516, 557, 1023, 519, 8905, 602, 713, 15293, 569, 267, 12001, 6219, 786, 1491, 3842, 4055, 267, 18867, 27283, 922, 3892, 609, 513, 2603, 811, 6111, 982, 824, 2409, 602, 5469, 2473, 11920, 9543, 563, 4504, 571, 743, 13831, 1769, 568, 519, 1267, 540, 1253, 4533, 633, 4205, 5473, 15270, 538, 513, 12440, 269, 769, 519, 14784, 602, 1671, 1132, 267, 1268, 6801, 616, 14324, 1085, 872, 4221, 689, 519, 14965, 13218, 602, 12622, 873, 547, 741, 3984, 14925, 269, 1452, 678, 8775, 569, 859, 1112, 539, 6801, 1287, 979, 593, 547, 1483, 793, 2933, 609, 519, 8904, 4786, 540, 519, 2698, 12440, 269, 901, 849, 4523, 547, 581, 16382, 1034, 540, 519, 12440, 779, 2312, 3897, 3390, 30443, 802, 538, 15865, 1283, 5728, 269, 2473, 11920, 1769, 27954, 9727, 1141, 6887, 540, 15270, 616, 536, 18804, 883, 513, 2582, 2943, 1776, 267, 855, 621, 1281, 711, 16616, 519, 4909, 5943, 540, 519, 12440, 4805, 269, 901, 14906, 619, 2473, 11920, 7646, 513, 513, 2603, 1447, 1808, 911, 1356, 540, 519, 3897, 8631, 563, 10527, 2014, 602, 12499, 743, 13831, 1769, 568, 891, 606, 5140, 911, 1356, 540, 3897, 1641, 538, 513, 14925, 12440, 568, 602, 8449, 519, 4158, 1641, 543, 891, 6801, 8108, 519, 12499, 743, 13831, 7646, 616, 11613, 1863, 1922, 5979, 908, 593, 519, 14965, 2009, 540, 519, 12440, 4805, 1700, 810, 789, 616, 13197, 3226, 519, 1360, 1482, 8904, 269, 1284, 723, 20114, 513, 1007, 1259, 547, 1294, 519, 5544, 538, 799, 519, 3897, 1118, 1022, 3017, 11129, 547, 581, 267, 585, 519, 2601, 602, 596, 616, 16439, 10502, 519, 3169, 14965, 2009, 269, 1284, 666, 22113, 267, 609, 513, 1360, 25861, 16657, 267, 519, 1747, 540, 4158, 880, 3390, 2223, 7150, 3220, 269, 631, 790, 807, 8053, 525, 538, 513, 5412, 476, 736, 267, 476, 1001, 279, 16735, 7632, 924, 32379, 32374, 269, 3220, 269, 8053, 525, 267, 945, 568, 540, 519, 2160, 540, 1715, 3162, 12986, 538, 17638, 267, 5245, 267, 568, 513, 1071, 27236, 540, 519, 1353, 563, 763, 6602, 543, 3067, 2305, 540, 519, 27556, 16657, 540, 12499, 743, 13831, 9543, 267, 18297, 1369, 1175, 14925, 13421, 267, 20205, 513, 1007, 543, 3730, 6293, 602, 19936, 666, 946, 547, 2689, 519, 3140, 2250, 543, 4070, 540, 7523, 12519, 13421, 538, 1732, 3178, 982, 4505, 798, 762, 269, 6301, 569, 1317, 519, 12499, 743, 13831, 1769, 27954, 32338, 919, 689, 796, 331, 13806, 29152, 539, 6801, 7610, 1746, 14925, 13421, 267, 602, 723, 1044, 14324, 28040, 2787, 958, 689, 741, 3993, 610, 4651, 3766, 531, 1314, 625, 267, 621, 568, 513, 2472, 540, 519, 3846, 673, 4205, 3330, 519, 12440, 269, 1280, 713, 2601, 267, 519, 12499, 743, 13831, 9543, 814, 519, 1761, 547, 16616, 513, 1390, 2709, 540, 2629, 9623, 11341, 547, 519, 12440, 779, 934, 4958, 542, 6561, 543, 12105, 4505, 267, 607, 1134, 607, 519, 2527, 3892, 540, 519, 1880, 1268, 12440, 15270, 873, 30441, 543, 519, 2347, 12440, 607, 513, 2698, 269, 634, 19916, 267, 2179, 267, 543, 10252, 14670, 923, 540, 519, 12499, 743, 13831, 9543, 1142, 543, 1169, 1683, 1761, 3730, 5013, 11341, 547, 519, 12440, 779, 4720, 267, 543, 3157, 12018, 1367, 15270, 666, 581, 14360, 14139, 2189, 12535, 540, 12499, 743, 13831, 1769, 27954, 563, 763, 14730, 880, 11120, 564, 454, 763, 12357, 4158, 2339, 568, 5156, 547, 2874, 540, 16678, 1875, 27408, 5669, 5536, 602, 798, 711, 2170, 609, 13590, 5982, 269, 901, 16678, 6219, 1152, 23929, 609, 865, 8153, 607, 968, 21720, 892, 10570, 630, 321, 776, 4577, 264, 1641, 676, 1259, 540, 519, 2604, 540, 8904, 269, 769, 13076, 547, 519, 16453, 8605, 540, 15328, 17443, 267, 519, 17807, 568, 7768, 540, 12341, 1472, 476, 275, 269, 280, 260, 968, 20598, 892, 10570, 1118, 1022, 3017, 267, 476, 2918, 269, 279, 260, 4158, 1118, 513, 3017, 267, 543, 513, 627, 25891, 476, 6924, 269, 274, 260, 4158, 21755, 269, 769, 1249, 267, 519, 3897, 4222, 267, 799, 2337, 1118, 909, 1034, 540, 519, 17807, 267, 568, 606, 1256, 2799, 5728, 982, 519, 4158, 880, 1118, 513, 3017, 269, 634, 1034, 14916, 6444, 27792, 585, 519, 4158, 880, 1648, 23083, 602, 621, 568, 513, 7221, 540, 2230, 676, 3294, 267, 543, 621, 568, 3056, 547, 519, 17807, 547, 17108, 538, 922, 2208, 547, 922, 4865, 968, 17742, 12955, 6100, 1306, 519, 17807, 11250, 909, 538, 922, 7269, 267, 621, 9428, 2479, 21617, 543, 21617, 8273, 543, 3677, 21092, 1700, 4777, 15701, 547, 1831, 606, 11999, 535, 3419, 573, 1163, 534, 572, 267, 607, 922, 11642, 31300, 518, 856, 899, 513, 12955, 23156, 18723, 563, 763, 3833, 1768, 1026, 569, 3765, 24887, 968, 7538, 892, 10570, 1641, 568, 2965, 2731, 9058, 269, 4634, 18562, 10570, 3390, 568, 15069, 519, 678, 2863, 540, 519, 17184, 16445, 540, 476, 274, 267, 621, 6589, 585, 782, 540, 519, 2188, 3254, 538, 519, 5432, 11270, 545, 30325, 269, 634, 10570, 2609, 1118, 519, 8608, 602, 649, 616, 1034, 5432, 609, 267, 543, 602, 649, 666, 7237, 609, 938, 3047, 3491, 326, 5962, 12823, 269, 4634, 18562, 10570, 1641, 6589, 585, 1152, 513, 9425, 1507, 6712, 540, 519, 15328, 21573, 267, 621, 568, 1018, 5189, 10715, 883, 621, 269, 634, 4401, 538, 707, 1973, 267, 519, 7513, 538, 707, 7633, 267, 519, 1216, 602, 596, 8532, 267, 519, 5070, 602, 596, 3802, 2390, 616, 782, 7768, 540, 865, 3856, 539, 968, 867, 2435, 892, 10570, 1641, 269, 4107, 540, 519, 10570, 1919, 8694, 909, 4646, 3330, 519, 694, 2130, 1606, 14585, 4221, 267, 6046, 1922, 6748, 7677, 2167, 540, 519, 17807, 779, 16221, 6801, 269, 634, 11683, 10854, 4332, 540, 519, 17807, 267, 2808, 547, 723, 7018, 12303, 476, 1691, 5479, 586, 3464, 538, 519, 2250, 267, 1152, 3812, 519, 1769, 652, 540, 10570, 2934, 1700, 5139, 4088, 267, 26775, 267, 543, 15244, 540, 16864, 269, 634, 6801, 14475, 519, 1964, 538, 741, 796, 29207, 341, 2406, 1360, 3905, 23780, 267, 4358, 1055, 609, 519, 7250, 543, 26775, 2813, 538, 519, 670, 4007, 10854, 267, 543, 1287, 2679, 811, 543, 811, 18219, 543, 18219, 10570, 2934, 782, 519, 1259, 909, 547, 4401, 676, 1259, 540, 519, 1576, 540, 2962, 540, 6046, 12760, 269, 1717, 267, 519, 3389, 5006, 10570, 2934, 540, 782, 1700, 10472, 2186, 540, 607, 20879, 543, 4154, 1700, 17647, 1044, 1500, 950, 513, 7372, 5182, 6926, 342, 676, 3294, 909, 538, 513, 31975, 320, 16411, 269, 1452, 535, 30711, 267, 9735, 24974, 1025, 6814, 9292, 331, 28448, 4396, 2101, 10570, 1919, 856, 883, 519, 2777, 5473, 6801, 1700, 718, 2813, 538, 519, 694, 2130, 268, 854, 3905, 18337, 2295, 540, 519, 28738, 3218, 1804, 5182, 267, 610, 538, 922, 23292, 2669, 31462, 525, 563, 1103, 13076, 547, 519, 9208, 8605, 585, 519, 1646, 540, 519, 2462, 8397, 5943, 540, 519, 17807, 267, 2189, 5536, 540, 519, 1875, 27408, 5669, 3897, 1641, 693, 1101, 13401, 513, 14965, 29478, 609, 1175, 835, 1776, 267, 4061, 14335, 513, 22125, 4087, 540, 2230, 267, 17941, 519, 3897, 1641, 10300, 334, 269, 853, 1737, 1176, 267, 519, 15865, 2215, 867, 658, 10300, 657, 7768, 540, 519, 4158, 880, 1919, 2879, 520, 3481, 909, 12269, 540, 29814, 7250, 3154, 269, 25756, 568, 8449, 519, 1034, 15792, 267, 607, 3927, 607, 519, 1769, 652, 267, 10570, 3815, 538, 519, 17807, 269, 1306, 513, 1267, 267, 15270, 543, 741, 11317, 540, 695, 20810, 532, 6801, 267, 7153, 856, 540, 713, 2215, 867, 658, 14334, 563, 295, 4007, 267, 2220, 26325, 267, 543, 3093, 6804, 12269, 540, 32630, 29814, 3140, 9362, 10356, 1927, 538, 519, 6305, 1998, 14334, 269, 634, 12269, 1287, 1474, 619, 5435, 539, 1524, 883, 519, 5728, 633, 12271, 540, 519, 9490, 10300, 657, 540, 519, 4158, 3390, 269, 1306, 942, 22415, 1117, 593, 1189, 538, 519, 8905, 540, 519, 1455, 23822, 618, 267, 519, 3833, 7620, 2029, 540, 1126, 6801, 941, 1373, 4535, 269, 3973, 267, 519, 28448, 1396, 11642, 540, 519, 7620, 6801, 986, 3022, 13085, 569, 3330, 540, 519, 1101, 3504, 15270, 602, 6039, 519, 2629, 1685, 540, 9363, 2215, 867, 658, 24974, 524, 2784, 956, 563, 10214, 1247, 4158, 2339, 3274, 3112, 581, 9763, 267, 621, 568, 2356, 10924, 547, 2291, 2094, 540, 519, 7168, 1898, 27753, 602, 3173, 723, 4767, 10838, 519, 2527, 540, 1713, 8397, 18477, 4703, 1700, 659, 638, 1600, 689, 741, 7229, 14965, 4205, 1765, 268, 663, 519, 2527, 6027, 689, 519, 18476, 10570, 2339, 602, 789, 3984, 563, 763, 12492, 762, 6228, 540, 4158, 880, 2339, 729, 7620, 6069, 676, 519, 10656, 31485, 3967, 744, 677, 630, 5002, 271, 268, 4350, 273, 264, 607, 513, 6364, 540, 1010, 5059, 1648, 547, 723, 606, 1620, 540, 519, 20771, 29702, 540, 938, 4865, 27305, 10158, 30982, 779, 25499, 6801, 269, 769, 476, 4350, 274, 267, 519, 18230, 12677, 31485, 674, 761, 345, 2098, 19213, 344, 630, 6245, 279, 268, 3192, 275, 1070, 849, 6069, 519, 6228, 540, 606, 16678, 1106, 540, 15792, 543, 2312, 1641, 269, 2098, 19213, 344, 25189, 713, 3932, 1317, 646, 6444, 602, 930, 1106, 540, 15865, 968, 331, 22326, 2527, 892, 14612, 15293, 6438, 676, 519, 15328, 21573, 1700, 663, 602, 713, 2312, 543, 15865, 16678, 6219, 4299, 519, 20771, 29702, 540, 25499, 15270, 7610, 1746, 11397, 14925, 13421, 269, 769, 476, 4350, 280, 267, 14984, 2963, 602, 519, 9490, 15865, 3390, 2965, 6818, 538, 2470, 729, 7229, 689, 14925, 10047, 14258, 676, 519, 28936, 903, 545, 626, 9710, 864, 654, 269, 9040, 32024, 630, 4489, 273, 268, 1001, 277, 264, 540, 519, 4993, 4659, 540, 16370, 630, 9773, 27700, 264, 538, 17131, 611, 6511, 269, 11109, 1767, 602, 267, 9040, 32024, 1705, 711, 5469, 602, 1010, 24215, 2303, 633, 7422, 8612, 519, 4527, 540, 4158, 1641, 563, 27407, 267, 15823, 2600, 513, 2540, 538, 519, 2250, 267, 519, 31485, 966, 5028, 11676, 514, 630, 4572, 279, 268, 1001, 277, 264, 8057, 547, 1831, 519, 1360, 1101, 10196, 547, 1459, 20310, 6169, 585, 519, 6228, 540, 519, 4158, 8631, 269, 769, 519, 476, 3422, 271, 338, 267, 11676, 514, 1700, 15367, 4810, 9916, 2098, 19213, 344, 779, 7500, 607, 513, 10927, 2852, 2875, 1700, 2889, 12723, 1200, 1007, 3069, 602, 1352, 1759, 593, 7523, 12519, 10047, 14258, 269, 16797, 569, 1175, 1310, 11676, 514, 779, 5659, 729, 7000, 267, 513, 3099, 540, 1898, 7422, 723, 1044, 14475, 676, 824, 19936, 602, 849, 8612, 519, 6228, 540, 713, 2189, 267, 15293, 569, 4990, 540, 12001, 1118, 1022, 3017, 269, 634, 2663, 3621, 4255, 1185, 1044, 1759, 593, 7422, 602, 6964, 14965, 7828, 532, 540, 4282, 3615, 676, 32215, 14925, 13421, 267, 519, 3892, 543, 2837, 540, 1360, 3905, 17405, 13883, 3330, 540, 2123, 15270, 543, 14925, 13421, 267, 543, 630, 2169, 571, 711, 1932, 1279, 3516, 264, 519, 8068, 4806, 540, 606, 529, 582, 1886, 625, 14754, 538, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 3240, 267, 538, 1200, 1870, 11556, 267, 6257, 513, 2754, 1572, 4024, 645, 1722, 602, 814, 31601, 513, 2029, 602, 1131, 6460, 519, 9102, 2262, 547, 513, 3059, 3758, 585, 4616, 676, 3988, 610, 19700, 269, 4475, 267, 689, 1200, 7778, 25138, 729, 2111, 547, 2697, 519, 2344, 2497, 585, 1200, 6069, 1870, 11556, 269, 2701, 729, 849, 2111, 547, 1118, 10054, 827, 519, 2344, 2497, 543, 22786, 607, 25138, 3877, 519, 3549, 2907, 538, 6228, 1369, 519, 1482, 552, 268, 9248, 2344, 269, 2701, 849, 6941, 875, 519, 1870, 568, 3964, 267, 543, 519, 6735, 621, 8188, 2094, 8925, 616, 3177, 676, 922, 15712, 543, 1131, 723, 513, 2942, 1764, 593, 519, 1870, 563, 288, 3240, 849, 19528, 875, 519, 1870, 30242, 547, 2333, 8907, 267, 543, 713, 568, 998, 2810, 519, 1297, 540, 10643, 2139, 543, 849, 2810, 519, 2557, 693, 799, 10643, 616, 7857, 1242, 269, 634, 6074, 2409, 547, 3313, 519, 7443, 2173, 1314, 30093, 7274, 729, 676, 7114, 519, 8589, 3790, 543, 4180, 602, 621, 11224, 8589, 8907, 269, 4935, 267, 1352, 729, 2111, 547, 1469, 713, 676, 519, 946, 540, 2035, 563, 763, 21909, 539, 3575, 540, 14499, 543, 1875, 1790, 878, 532, 1131, 581, 1759, 593, 519, 7274, 540, 2835, 646, 23619, 267, 1312, 519, 10677, 539, 3283, 543, 519, 1863, 3283, 269, 4935, 267, 25138, 23083, 602, 519, 10677, 539, 2835, 581, 4421, 693, 2362, 5777, 267, 543, 14499, 568, 849, 31030, 593, 519, 5234, 602, 2337, 538, 7857, 1944, 519, 2835, 269, 1261, 5697, 11064, 547, 7127, 568, 849, 5018, 543, 568, 6353, 676, 519, 1082, 3549, 602, 616, 3964, 543, 2907, 7231, 609, 552, 268, 9248, 3976, 519, 2754, 729, 547, 946, 10229, 538, 1931, 547, 16174, 741, 2472, 1369, 519, 2344, 269, 634, 11556, 849, 6941, 519, 2409, 6074, 547, 6175, 3790, 540, 519, 1587, 267, 543, 713, 729, 998, 2870, 513, 31601, 1505, 540, 7857, 1944, 519, 2835, 602, 729, 14949, 2094, 4024, 645, 1722, 1131, 711, 723, 547, 6718, 3059, 2924, 689, 17404, 563, 11321, 773, 267, 538, 519, 1870, 11556, 267, 4857, 519, 2344, 2497, 607, 606, 552, 26247, 1759, 2344, 17929, 519, 2754, 9388, 609, 4024, 645, 1722, 9388, 609, 7857, 1944, 2835, 269, 1703, 941, 849, 10054, 1500, 827, 519, 2344, 2497, 543, 22786, 267, 543, 713, 729, 676, 946, 540, 22786, 3747, 4542, 543, 9273, 602, 519, 1870, 1131, 4019, 538, 1931, 547, 723, 12374, 693, 519, 1439, 269, 4935, 267, 21322, 729, 2111, 547, 2491, 602, 519, 8907, 1131, 581, 2799, 676, 519, 2754, 952, 789, 4389, 741, 5777, 585, 519, 552, 268, 9248, 602, 616, 1863, 543, 2810, 5777, 540, 552, 268, 9248, 602, 616, 10677, 539, 269, 634, 6074, 2409, 547, 3313, 519, 7443, 2173, 1314, 30093, 7274, 1131, 581, 676, 4946, 811, 5520, 547, 948, 609, 7857, 1944, 519, 2835, 543, 849, 519, 5413, 602, 646, 814, 1044, 2324, 14350, 585, 519, 2250, 3670, 3275, 267, 646, 786, 581, 2111, 547, 1118, 12434, 269, 645, 1722, 1131, 849, 2445, 1239, 547, 1265, 519, 8589, 1942, 267, 543, 8589, 8907, 3976, 621, 1131, 581, 2111, 547, 1683, 519, 7443, 12366, 1436, 269, 634, 6700, 3575, 540, 14499, 543, 1875, 1790, 878, 532, 568, 602, 645, 1722, 5036, 1010, 5777, 547, 581, 2147, 547, 1346, 6035, 676, 1010, 15712, 543, 849, 1118, 606, 2653, 543, 7874, 3135, 585, 1010, 5561, 269, 4475, 267, 811, 5561, 1131, 581, 2111, 547, 3643, 645, 1722, 779, 2228, 3135, 2094, 621, 568, 2653, 547, 946, 563, 4467, 7065, 819, 729, 519, 1292, 2942, 3196, 593, 519, 1870, 267, 855, 2094, 646, 30242, 547, 14664, 1010, 2029, 519, 1870, 1131, 581, 513, 2178, 3196, 538, 519, 552, 26247, 2344, 267, 2523, 950, 621, 2501, 547, 9117, 607, 513, 11064, 547, 1007, 6735, 269, 5015, 267, 645, 1722, 666, 581, 2111, 547, 5279, 1804, 3549, 585, 519, 946, 540, 1010, 4066, 3976, 621, 1131, 581, 513, 19311, 14679, 269, 1677, 2333, 1587, 15285, 267, 645, 1722, 786, 946, 27291, 543, 849, 14441, 1010, 2029, 607, 1114, 543, 2653, 547, 946, 269, 634, 1152, 2110, 5765, 540, 713, 11556, 729, 602, 21322, 1705, 711, 2697, 538, 1469, 875, 519, 1870, 786, 2569, 519, 3790, 540, 519, 1587, 1759, 593, 519, 1249, 602, 621, 1131, 581, 7199, 950, 6721, 621, 269, 0, 30262, 21077, 585, 19999, 601, 545, 3057, 1076, 602, 779, 1158, 14092, 13094, 543, 740, 27163, 5929, 5656, 267, 930, 7555, 585, 811, 982, 476, 273, 267, 1822, 1296, 267, 3504, 10255, 849, 3812, 1776, 20161, 602, 729, 3297, 519, 14710, 540, 606, 32415, 14655, 13108, 602, 1082, 12206, 3494, 729, 11358, 547, 2061, 519, 2197, 689, 1373, 936, 14725, 543, 9561, 519, 2418, 602, 5280, 1711, 5375, 31511, 563, 2005, 779, 519, 8988, 15183, 540, 700, 4768, 542, 267, 5045, 540, 18603, 267, 799, 3812, 930, 540, 519, 1158, 779, 1283, 3766, 24612, 1587, 1317, 540, 513, 7777, 1436, 540, 1291, 267, 13058, 267, 7601, 543, 8988, 2404, 609, 606, 5337, 15667, 31593, 883, 4587, 21439, 543, 15027, 7725, 267, 1280, 15816, 18225, 4080, 538, 513, 4183, 593, 519, 1909, 8988, 5129, 693, 519, 11135, 540, 6428, 600, 529, 538, 476, 21878, 645, 5861, 563, 5475, 513, 7372, 14655, 8136, 3366, 676, 3751, 2473, 518, 343, 525, 3893, 2250, 519, 1130, 5050, 476, 4968, 1975, 691, 753, 543, 930, 540, 922, 5259, 16167, 693, 519, 1780, 540, 26457, 641, 2643, 2801, 621, 8604, 972, 1131, 581, 1100, 7303, 519, 21037, 540, 10255, 543, 519, 8744, 540, 513, 1114, 2528, 607, 519, 6431, 2103, 25626, 2066, 563, 6546, 779, 950, 513, 1762, 23723, 1014, 22267, 3957, 23067, 626, 28965, 6069, 606, 8966, 1544, 281, 519, 16380, 1058, 711, 3068, 519, 14655, 7980, 593, 513, 25071, 267, 855, 2864, 1902, 538, 513, 18239, 563, 1103, 519, 17189, 6370, 540, 6428, 600, 529, 267, 519, 9241, 32472, 9635, 7307, 547, 6861, 519, 14655, 18239, 563, 3080, 1032, 2663, 267, 1510, 513, 26010, 547, 1489, 741, 11439, 4229, 267, 519, 6431, 2103, 1427, 8972, 547, 5607, 267, 519, 12139, 1650, 1644, 267, 4946, 602, 968, 288, 1297, 540, 12206, 3494, 602, 513, 14655, 11802, 1131, 723, 8423, 1598, 2426, 519, 1646, 540, 9147, 10255, 267, 543, 676, 10137, 5375, 31511, 3034, 6546, 1500, 6428, 600, 529, 835, 540, 519, 1034, 1713, 12959, 538, 1480, 1686, 267, 1869, 15422, 2221, 585, 875, 519, 811, 23603, 762, 5259, 18239, 17204, 513, 6746, 1227, 9120, 3196, 267, 29211, 676, 16550, 519, 28164, 547, 723, 519, 3141, 3297, 873, 543, 9420, 539, 676, 519, 12345, 536, 23395, 1055, 5259, 695, 3658, 267, 621, 814, 849, 1044, 1767, 563, 763, 14655, 26010, 4737, 539, 883, 519, 18135, 1080, 540, 6428, 600, 529, 543, 6836, 547, 3625, 1312, 1303, 27509, 855, 519, 1390, 2338, 540, 741, 9635, 3361, 513, 2186, 540, 4262, 7470, 6674, 543, 519, 5259, 18239, 4646, 538, 1899, 543, 20639, 513, 23801, 11802, 563, 763, 9635, 602, 5280, 547, 3094, 519, 6370, 540, 6428, 600, 529, 941, 6976, 585, 609, 8988, 689, 519, 15183, 540, 700, 4768, 542, 267, 519, 12139, 1767, 267, 4946, 602, 24085, 4362, 3592, 476, 1220, 15183, 543, 14788, 338, 538, 519, 1858, 6580, 547, 476, 21878, 268, 7742, 645, 5861, 269, 898, 568, 6059, 602, 476, 736, 267, 1822, 10437, 5249, 972, 547, 1683, 519, 8988, 585, 519, 18239, 4941, 676, 23067, 626, 28965, 563, 1103, 476, 4968, 1296, 540, 3742, 5599, 267, 700, 4768, 542, 3177, 3592, 476, 274, 267, 1822, 9748, 540, 6986, 8988, 269, 3143, 824, 2749, 538, 10255, 6417, 971, 513, 3638, 5599, 8664, 543, 621, 568, 5156, 602, 5599, 5129, 606, 1271, 1909, 538, 519, 4473, 540, 18603, 267, 519, 7214, 2295, 540, 519, 13642, 6520, 711, 1175, 540, 10255, 855, 5310, 538, 1158, 1686, 585, 1018, 621, 4547, 538, 2979, 267, 2257, 267, 6138, 267, 4915, 267, 14364, 543, 2565, 3206, 607, 513, 1907, 538, 2069, 563, 6781, 9646, 539, 538, 519, 476, 272, 560, 2540, 7460, 267, 519, 15183, 941, 2746, 17300, 538, 476, 5908, 275, 543, 24776, 585, 741, 1291, 676, 3943, 543, 5259, 3549, 2394, 476, 3192, 279, 563, 30262, 1168, 539, 5599, 3238, 1312, 519, 4393, 540, 3504, 1793, 698, 585, 6967, 1291, 543, 8988, 543, 519, 10868, 540, 4195, 7626, 269, 14086, 540, 13058, 7626, 729, 513, 20749, 1713, 538, 519, 700, 4768, 542, 1858, 585, 8464, 540, 1296, 543, 4401, 7626, 729, 849, 24776, 998, 519, 476, 4198, 271, 338, 563, 763, 15183, 4797, 547, 581, 3742, 267, 6721, 8988, 543, 824, 8407, 2394, 19311, 30423, 12074, 941, 25356, 538, 476, 3192, 279, 267, 4352, 519, 1909, 789, 5129, 538, 3504, 1686, 1185, 1279, 1044, 16618, 563, 8269, 518, 2590, 547, 519, 15183, 538, 1010, 476, 30500, 7460, 960, 18467, 543, 31283, 267, 2473, 523, 2684, 517, 5206, 281, 968, 2005, 568, 2312, 267, 594, 1095, 2541, 267, 547, 3025, 602, 891, 15183, 723, 585, 513, 1360, 1279, 942, 1044, 538, 3742, 5106, 282, 693, 1022, 2557, 1100, 835, 786, 14679, 547, 4368, 519, 4266, 693, 799, 789, 1101, 3459, 547, 581, 5249, 3034, 763, 11802, 693, 6428, 600, 529, 4847, 18603, 547, 21707, 543, 519, 2203, 540, 9111, 568, 1031, 676, 1034, 540, 519, 1158, 2221, 269, 2991, 519, 14710, 540, 30111, 267, 519, 2749, 32145, 540, 1975, 21840, 543, 18603, 3323, 519, 19994, 641, 517, 5886, 1014, 2782, 543, 519, 15183, 941, 25356, 585, 513, 1974, 267, 4929, 18603, 585, 513, 942, 547, 6336, 23146, 269, 26499, 776, 1975, 21840, 3294, 729, 17204, 676, 634, 15816, 267, 3056, 547, 519, 4473, 540, 24765, 8205, 543, 12138, 519, 4279, 547, 20630, 519, 14655, 7276, 602, 513, 2540, 4505, 2219, 621, 1131, 20630, 10255, 1354, 4881, 883, 29134, 1975, 691, 753, 267, 9635, 543, 8988, 269, 2334, 729, 10255, 269, 0, 763, 2622, 2657, 9257, 568, 4657, 922, 7840, 585, 519, 946, 540, 13968, 1282, 519, 11452, 6855, 543, 568, 1631, 2857, 2056, 602, 538, 2127, 1141, 972, 568, 7839, 6771, 267, 1004, 1058, 5957, 13968, 950, 1514, 26865, 568, 711, 2009, 267, 971, 607, 593, 1857, 3560, 543, 538, 15945, 563, 1103, 513, 2046, 5618, 532, 593, 11016, 267, 14959, 8689, 24932, 1968, 23413, 4592, 1520, 7315, 558, 717, 515, 3691, 344, 4615, 849, 1767, 1004, 936, 2085, 476, 2568, 610, 1346, 609, 5817, 2564, 2175, 1058, 5957, 513, 2564, 9633, 538, 3871, 1141, 1514, 26865, 3112, 581, 9738, 269, 14959, 814, 5892, 1152, 5227, 602, 1072, 1416, 4600, 267, 1346, 7210, 2989, 676, 5046, 268, 866, 543, 741, 1416, 575, 1392, 5957, 13968, 563, 307, 539, 4592, 15091, 602, 968, 332, 3696, 593, 741, 1378, 786, 711, 2149, 596, 689, 5046, 268, 866, 892, 543, 15091, 519, 2956, 540, 1688, 2914, 4770, 267, 1514, 26865, 543, 824, 3800, 269, 1261, 3773, 602, 1072, 4600, 538, 2127, 609, 7839, 6771, 1058, 1631, 5957, 2564, 13968, 538, 782, 2127, 540, 1072, 6703, 543, 711, 1175, 1346, 609, 9672, 5046, 268, 866, 2550, 267, 6031, 602, 7189, 2324, 538, 3556, 5735, 610, 824, 530, 1841, 267, 585, 1383, 267, 1058, 3136, 547, 5957, 513, 2564, 9633, 1256, 952, 972, 616, 1100, 1634, 11452, 2550, 269, 0, 2304, 28033, 3529, 21049, 547, 519, 9341, 661, 2692, 11206, 538, 23759, 3019, 814, 1044, 3957, 1310, 28167, 4144, 22479, 26369, 2094, 519, 17076, 543, 2825, 19191, 21936, 539, 1996, 519, 19883, 540, 519, 2030, 779, 1604, 563, 14071, 1360, 1454, 15874, 519, 1489, 24955, 5795, 721, 538, 5859, 532, 547, 2149, 661, 2692, 2063, 1032, 865, 621, 8604, 17501, 547, 8956, 1864, 538, 713, 1259, 267, 20803, 513, 2249, 2189, 1152, 547, 713, 4104, 267, 1310, 1864, 2223, 3081, 1353, 2278, 9410, 4258, 2131, 267, 513, 11001, 693, 681, 289, 294, 918, 1168, 563, 763, 1101, 9241, 4857, 2030, 2249, 4330, 676, 2257, 713, 1032, 2443, 513, 9691, 13155, 835, 2443, 814, 1044, 3957, 772, 19702, 18462, 546, 545, 777, 26369, 267, 1310, 519, 744, 2675, 1513, 16771, 6707, 21936, 539, 1996, 519, 19883, 540, 476, 7597, 267, 1822, 540, 519, 661, 2692, 11206, 779, 476, 1708, 267, 1822, 14143, 269, 634, 2030, 10301, 476, 275, 7397, 543, 814, 5835, 25984, 3762, 269, 772, 6155, 545, 9222, 9428, 538, 606, 796, 31695, 3148, 540, 519, 4104, 1753, 547, 513, 3099, 540, 13155, 2249, 899, 7262, 27580, 25022, 543, 4104, 19246, 269, 715, 5446, 513, 2030, 1310, 519, 4583, 7376, 24259, 513, 1769, 593, 519, 1869, 17866 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2081, 602, 519, 3703, 3936, 2401, 10125, 540, 5245, 267, 4516, 267, 1715, 10215, 543, 3162, 4000, 17411, 6805, 9082, 609, 14621, 547, 2797, 2924, 267, 4098, 609, 519, 11440, 4808, 540, 519, 476, 8146, 271, 338, 543, 18138, 609, 519, 18487, 2797, 17260, 538, 2990, 676, 1797, 540, 476, 4489, 271, 269, 14301, 593, 3833, 513, 2603, 540, 2200, 267, 922, 13354, 1184, 3091, 606, 8226, 883, 519, 8978, 13210, 540, 1459, 6377, 27900, 538, 1346, 3936, 2401, 7239, 563, 5649, 610, 8281, 26321, 23527, 267, 772, 928, 23974, 7126, 281, 7087, 4658, 538, 3703, 5590, 339, 2401, 16690, 625, 267, 476, 8146, 271, 268, 4489, 271, 7300, 454, 16032, 2027, 2516, 2835, 454, 1607, 568, 1419, 519, 476, 272, 560, 8737, 1382, 540, 6739, 2797, 543, 1514, 19583, 1369, 519, 2022, 4211, 2174, 684, 626, 1974, 269, 634, 27412, 28420, 543, 16094, 12116, 519, 12497, 543, 7811, 2306, 606, 3801, 3842, 6739, 1053, 543, 2797, 17024, 547, 1118, 1995, 540, 519, 14053, 3871, 540, 2022, 268, 10919, 1143, 543, 519, 6551, 832, 540, 13075, 267, 2797, 543, 1514, 7004, 563, 300, 1173, 15756, 631, 269, 25590, 20476, 1622, 513, 8903, 17855, 540, 519, 10367, 2729, 540, 519, 7489, 543, 4678, 2088, 6690, 945, 5368, 341, 580, 528, 730, 562, 344, 4975, 781, 28630, 1369, 519, 715, 31106, 715, 6839, 625, 269, 4173, 4983, 7710, 519, 6009, 540, 14940, 543, 4008, 538, 5935, 11776, 2093, 543, 519, 10367, 4259, 269, 25590, 267, 4171, 3158, 2978, 1819, 538, 25590, 520, 1144, 781, 28630, 3768, 18249, 267, 13279, 1200, 10367, 593, 2647, 11042, 609, 6690, 5234, 543, 1200, 2123, 7422, 689, 519, 4558, 2666, 563, 763, 17418, 540, 4708, 538, 16444, 20092, 568, 2356, 17814, 607, 513, 1267, 540, 513, 10795, 267, 2802, 12061, 1049, 626, 32692, 1851, 519, 16429, 327, 2297, 324, 5354, 543, 519, 20474, 12102, 269, 2938, 1282, 713, 9543, 267, 2626, 1522, 581, 25189, 3842, 32692, 7245, 269, 2943, 267, 607, 1627, 611, 686, 1772, 21166, 9060, 267, 713, 568, 1419, 1932, 5187, 2065, 606, 23115, 856, 543, 666, 1405, 3132, 9434, 4708, 563, 4415, 856, 1280, 1326, 1154, 519, 1955, 600, 568, 606, 17801, 4919, 4983, 540, 519, 5289, 10715, 540, 519, 22359, 3150, 26757, 262, 2572, 540, 31351, 9799, 267, 12309, 267, 519, 1034, 1271, 7332, 8378, 9205, 540, 519, 4099, 5101, 269, 538, 1899, 609, 476, 275, 1296, 540, 2361, 1740, 267, 713, 19545, 7710, 875, 519, 22359, 3150, 945, 4312, 32164, 3603, 267, 971, 513, 2603, 930, 942, 2250, 476, 274, 513, 1279, 942, 267, 547, 519, 7330, 267, 723, 3358, 547, 741, 1007, 5790, 563, 268, 5398, 12075, 267, 17721, 4258, 6593, 525, 281, 21094, 543, 28673, 593, 17650, 531, 16140, 630, 28757, 1977, 12075, 994, 268, 634, 1261, 728, 1375, 518, 5174, 21310, 2552, 7337, 344, 281, 634, 21073, 540, 519, 594, 268, 1320, 537, 630, 6944, 1026, 1903, 538, 13898, 994, 268, 634, 11572, 23539, 540, 9478, 23237, 281, 589, 5530, 538, 3828, 12351, 11416, 21829, 24686, 582, 1143, 454, 268, 634, 15348, 540, 7991, 8490, 538, 12124, 3624, 630, 24336, 2622, 338, 994, 268, 22994, 559, 1944, 30643, 781, 2598, 31419, 281, 7087, 15348, 543, 519, 26647, 24327, 936, 8092, 630, 5575, 24447, 281, 1715, 667, 597, 2388, 538, 7087, 5525, 994, 21206, 2200, 585, 26321, 23527, 267, 772, 928, 23974, 7126, 281, 7087, 4658, 538, 3703, 5590, 339, 2401, 16690, 625, 267, 476, 8146, 271, 268, 4489, 271, 454, 763, 7797, 779, 16252, 602, 519, 3703, 6554, 1058, 8831, 3743, 2229, 547, 519, 4540, 10125, 1107, 16592, 4516, 630, 302, 660, 9222, 1070, 13722, 4516, 630, 20075, 13069, 1070, 543, 519, 17535, 10125, 540, 25429, 1496, 476, 3374, 9948, 595, 6369, 8379, 5058, 589, 22444, 31631, 661, 6573, 296, 3918, 32108, 267, 1715, 19839, 1873, 1157, 267, 13584, 11977, 6816, 543, 1715, 11398, 1633, 1107, 729, 711, 5612, 19500, 2390, 269, 1809, 538, 476, 7277, 278, 267, 519, 1733, 580, 6554, 267, 609, 519, 3791, 23778, 27578, 630, 5459, 540, 519, 5449, 6305, 14012, 543, 7015, 2987, 18721, 540, 7083, 20736, 5069, 264, 607, 23122, 540, 1533, 585, 519, 10125, 267, 11292, 25429, 32108, 3743, 2229, 563, 1607, 729, 547, 581, 2944, 11156, 958, 538, 1079, 5933, 269, 3689, 1058, 2097, 2048, 10517, 6974, 894, 2229, 8730, 896, 799, 519, 6519, 13896, 941, 2111, 547, 1528, 513, 23328, 267, 855, 519, 10324, 4797, 547, 581, 513, 17294, 12912, 676, 519, 3703, 22477, 269, 2311, 519, 2034, 3942, 1131, 1246, 2048, 22529, 1043, 2229, 8730, 896, 799, 9030, 6392, 543, 1379, 1131, 9114, 630, 553, 538, 519, 3703, 12057, 264, 609, 606, 10324, 540, 6305, 14012, 543, 22277, 6074, 676, 267, 543, 3743, 547, 267, 519, 11221, 23328, 269, 4634, 896, 2048, 22529, 1043, 2229, 8730, 4352, 519, 21152, 1131, 581, 2016, 3592, 2407, 1852, 540, 741, 1378, 4835, 12602, 267, 519, 3703, 2229, 1131, 11677, 1852, 540, 281, 519, 12733, 779, 2797, 11156, 282, 519, 12733, 779, 4914, 1894, 543, 4123, 609, 6628, 267, 824, 3703, 10125, 543, 4914, 6082, 282, 543, 519, 12871, 540, 1857, 3338, 630, 6518, 538, 4516, 3238, 2048, 24465, 685, 3609, 264, 538, 519, 12733, 563, 27751, 267, 3703, 12057, 776, 14430, 630, 8146, 278, 1070, 2019, 269, 476, 278, 267, 533, 269, 476, 276, 269, 2073, 6032, 269, 476, 10602, 267, 476, 11025, 1700, 274, 269, 2073, 533, 269, 476, 1240, 269, 20616, 2271, 749, 3394, 1356, 282, 610, 2806, 10594, 1149, 685, 31541, 630, 1877, 12898, 281, 20616, 2271, 749, 3394, 1356, 1070, 4989, 630, 7277, 278, 1070, 533, 269, 476, 272, 269, 6423, 631, 269, 7935, 1188, 267, 634, 4279, 21637, 2920, 630, 26780, 281, 670, 8553, 8657, 267, 476, 3192, 274, 1040, 2201, 519, 3140, 2796, 540, 519, 20736, 5069, 7797, 267, 543, 922, 7766, 21200, 543, 3310, 267, 1294, 281, 808, 269, 681, 269, 631, 269, 30215, 267, 2048, 8624, 11102, 8682, 8566, 17922, 476, 8146, 279, 1700, 6977, 273, 8730, 538, 808, 269, 670, 269, 14986, 267, 589, 269, 13053, 543, 661, 269, 589, 269, 5484, 2103, 630, 2644, 1070, 634, 11062, 3778, 540, 519, 3703, 7276, 267, 476, 273, 2019, 338, 630, 23173, 8822, 1299, 1715, 3840, 281, 11062, 2160, 4964, 267, 476, 4350, 279, 1700, 2412, 1070, 2019, 269, 0, 3528, 29464, 17012, 651, 267, 9324, 529, 595, 269, 3828, 527, 3832, 1777, 454, 1607, 7274, 20476, 1622, 609, 476, 275, 1875, 16644, 4042, 20816, 281, 519, 10609, 11939, 15913, 540, 700, 26820, 282, 519, 19358, 583, 2197, 540, 670, 19561, 670, 338, 807, 282, 519, 30083, 7770, 10504, 540, 25590, 282, 543, 519, 27245, 1014, 962, 10224, 15913, 602, 693, 2063, 1266, 5285, 539, 519, 2347, 540, 3624, 269, 898, 27180, 519, 3504, 3140, 2250, 689, 799, 1346, 20816, 7153, 543, 6920, 875, 1142, 835, 538, 922, 2123, 1505, 4383, 960, 762, 12205, 585, 519, 10038, 540, 513, 3818, 268, 24055, 267, 3818, 268, 1782, 783, 267, 543, 3818, 14426, 11317, 269, 898, 11828, 1346, 7965, 711, 1152, 607, 513, 1486, 26167, 30369, 12558, 538, 3624, 781, 6561, 267, 2943, 6920, 519, 27265, 543, 8112, 540, 1346, 2829, 267, 543, 741, 1434, 19539, 3035, 2797, 543, 1514, 3666, 269, 519, 7274, 2488, 519, 2407, 652, 26567, 2272, 540, 519, 8884, 267, 1369, 799, 2797, 267, 12250, 267, 1514, 267, 543, 13075, 11941, 616, 3710, 2987, 865, 2484, 607, 12492, 762, 267, 543, 12034, 519, 8884, 10353, 547, 513, 5318, 3140, 2250, 540, 23372, 538, 8832, 543, 2565, 5607, 563, 5649, 610, 8281, 634, 11062, 3778, 540, 3624, 267, 5292, 269, 476, 277, 281, 1325, 1329, 3204, 1307, 543, 27079, 2276, 267, 476, 3445, 278, 268, 15793, 279, 7300, 454, 13436, 19580, 2835, 454, 26296, 5912, 538, 3624, 814, 14754, 630, 516, 264, 25218, 5314, 540, 7221, 689, 519, 14345, 547, 519, 1647, 538, 2883, 267, 1514, 543, 2797, 12823, 269, 5356, 606, 16367, 6218, 540, 3624, 781, 4207, 6454, 267, 713, 19545, 18271, 513, 8589, 5314, 7828, 547, 11953, 267, 30431, 622, 543, 2362, 10146, 519, 2409, 267, 6163, 267, 7835, 267, 513, 1297, 540, 7516, 543, 6384, 540, 519, 7613, 267, 543, 519, 6286, 543, 6286, 585, 6454, 543, 1072, 1369, 519, 4182, 563, 299, 334, 753, 689, 4914, 13075, 12205, 630, 9281, 296, 12029, 264, 547, 3624, 723, 1044, 606, 1271, 4358, 547, 3624, 779, 9591, 547, 519, 2627, 2518, 269, 901, 552, 26247, 4564, 519, 476, 272, 560, 8737, 1382, 5340, 538, 3624, 547, 1368, 720, 519, 3803, 10342, 540, 17692, 296, 10372, 547, 3624, 689, 476, 2735, 272, 547, 476, 1220, 273, 269, 898, 23607, 519, 1494, 1890, 540, 4914, 1344, 538, 7700, 547, 519, 24349, 1893, 2804, 2916, 676, 1797, 540, 14236, 519, 1880, 6388, 540, 519, 7341, 543, 741, 2883, 267, 13075, 267, 1514, 267, 8733, 267, 543, 4081, 5540, 563, 262, 15900, 3624, 262, 4016, 1394, 547, 519, 8884, 689, 519, 1376, 540, 1480, 4282, 538, 3624, 547, 519, 1283, 540, 519, 12390, 19092, 538, 6994, 476, 13136, 269, 634, 5072, 540, 4207, 24349, 1893, 2486, 543, 2245, 616, 782, 547, 581, 1459, 538, 713, 24233, 8884, 540, 24349, 1893, 10340, 269, 9149, 674, 1263, 781, 1007, 4049, 7664, 24643, 693, 519, 1034, 909, 3562, 15082, 14172, 543, 15456, 8906, 689, 519, 4505, 13977, 1296, 563, 268, 19331, 731, 4270, 14114, 6150, 9534, 286, 281, 3624, 779, 3465, 775, 538, 519, 5664, 5101, 1739, 519, 6259, 11354, 630, 763, 3502, 1154, 5069, 3624, 8889, 4659, 10022, 994, 268, 634, 13340, 518, 31052, 542, 630, 24464, 27408, 5025, 337, 916, 994, 268, 634, 10003, 547, 20985, 26291, 538, 3624, 630, 294, 1478, 940, 3624, 538, 519, 476, 2641, 560, 11416, 994, 268, 25790, 538, 29942, 32190, 17978, 281, 634, 476, 279, 628, 3624, 10985, 267, 595, 16703, 301, 476, 1001, 275, 267, 2473, 328, 262, 534, 267, 3624, 267, 5239, 476, 4029, 734, 21776, 476, 273, 267, 476, 1001, 275, 269, 4860, 2213, 29120, 14430, 630, 15973, 10716, 538, 8950, 543, 6176, 3163, 994, 268, 7335, 543, 22628, 23532, 20212, 538, 519, 21654, 281, 3245, 3624, 547, 4000, 454, 268, 4144, 19166, 545, 4457, 20764, 999, 281, 634, 5020, 543, 4518, 540, 15651, 717, 2426, 342, 340, 630, 24336, 2622, 338, 994, 15761, 571, 2200, 585, 634, 11062, 3778, 540, 3624, 267, 5292, 269, 476, 277, 281, 1325, 1329, 3204, 1307, 543, 27079, 2276, 267, 476, 3445, 278, 268, 15793, 279, 454, 2690, 1454, 540, 602, 1974, 3624, 729, 5258, 883, 607, 1082, 607, 8370, 610, 4557, 6237, 2829, 267, 543, 2394, 476, 31634, 519, 5087, 729, 12199, 676, 513, 19588, 540, 18633, 543, 2110, 24331, 4108, 20816, 269, 4438, 602, 1974, 267, 4108, 3196, 5462, 519, 3337, 540, 6214, 543, 4797, 547, 581, 513, 2101, 3815, 538, 519, 1101, 5756, 540, 519, 590, 2426, 269, 3502, 1152, 729, 519, 2038, 20870, 2540, 13856, 676, 519, 1252, 1023, 538, 5087, 3624, 282, 621, 849, 729, 513, 1974, 1282, 799, 1082, 540, 519, 6237, 2112, 331, 3581, 941, 1875, 6953, 534, 1252, 1023, 267, 3226, 32599, 2389, 262, 334, 5695, 802, 563, 4517, 891, 1585, 14624, 3576, 1747, 538, 513, 1158, 602, 729, 21739, 4657, 269, 5990, 700, 12442, 570, 262, 20315, 645, 3201, 23814, 5508, 31266, 2207, 2290, 540, 519, 2042, 540, 2757, 4457, 2351, 25086, 538, 922, 4308, 902, 609, 4914, 9082, 814, 1044, 922, 5821, 547, 6474, 17946, 4474, 3069, 609, 7683, 9687, 4890, 640, 269, 634, 3504, 4998, 540, 519, 834, 325, 633, 10851, 540, 19169, 257, 19424, 539, 513, 1158, 538, 799, 3624, 267, 610, 2864, 922, 15194, 15913, 267, 519, 581, 31600, 540, 519, 13495, 622, 540, 24656, 547, 1852, 18495, 267, 941, 519, 6852, 16048, 4865, 832, 540, 796, 23896, 539, 6392, 910, 6392, 602, 729, 693, 2899, 2797, 267, 2686, 267, 543, 5837, 563, 303, 22701, 6032, 269, 681, 269, 30619, 21197, 11062, 2876, 1559, 6732, 9736, 11062, 2160, 4964, 267, 476, 1220, 279, 6032, 269, 476, 14681, 268, 273, 11062, 2876, 1559, 6732, 9736, 11062, 2160, 4964, 267, 476, 1220, 279, 21850, 29767, 634, 2185, 20816, 602, 1106, 519, 1641, 2339, 540, 713, 4320, 723, 3622, 4607, 2942, 2126, 689, 2757, 4457, 12206, 543, 723, 1044, 9763, 607, 606, 954, 8306, 538, 519, 6264, 30908, 540, 4457, 1686, 269, 3962, 729, 3964, 676, 513, 1875, 16644, 4042, 15194, 1895, 267, 945, 9738, 741, 1378, 2686, 3961, 1247, 15194, 936, 513, 3818, 30710, 1533, 1519, 1804, 12390, 4457, 5095 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2462, 24914, 269, 27819, 513, 3791, 540, 7498, 3528, 476, 1001, 279, 267, 5841, 1098, 9600, 786, 1100, 3476, 581, 1336, 538, 15165, 3536, 267, 19323, 5370, 267, 543, 13792, 5388, 602, 4892, 3049, 741, 3885, 267, 607, 9307, 676, 519, 2136, 2276, 5253, 7498, 303, 4382, 1938, 616, 24819, 543, 1271, 282, 855, 875, 2922, 616, 789, 267, 543, 945, 4267, 713, 2629, 2243, 286, 4340, 547, 513, 1957, 3370, 538, 519, 4760, 645, 3930, 7220, 267, 519, 772, 2529, 269, 7025, 10466, 10837, 779, 7498, 268, 24770, 543, 24914, 281, 30645, 15395, 9620, 1996, 519, 12918, 454, 268, 8298, 3101, 267, 4155, 4070, 3136, 547, 4492, 4104, 2530, 538, 14466, 7699, 1715, 19892, 454, 268, 30188, 25329, 585, 13778, 1032, 540, 17717, 538, 15609, 15395, 454, 268, 9540, 6868, 543, 2845, 7970, 7903, 4514, 883, 5681, 21358, 779, 4102, 6288, 454, 268, 769, 30729, 267, 6792, 7125, 585, 2849, 1807, 1756, 593, 3486, 2620, 5498, 320, 5599, 454, 268, 22096, 779, 7297, 616, 28326, 13607, 585, 13155, 16142, 1299, 12345, 267, 8761, 1239, 689, 1148, 16388, 531, 535, 29913, 454, 268, 7797, 31438, 9864, 1769, 593, 10782, 4074, 25476, 538, 32630, 10068, 2872, 454, 268, 25706, 12959, 29287, 5068, 5533, 538, 1391, 547, 11177, 22600, 549, 1407, 454, 268, 1160, 14075, 539, 10980, 6770, 13778, 2242, 547, 8835, 1014, 2950, 538, 3474, 5451, 454, 268, 25890, 540, 5169, 585, 589, 920, 779, 513, 9809, 320, 6403, 568, 513, 5818, 585, 519, 8835, 1014, 15988, 797, 454, 268, 5125, 6786, 5818, 538, 1489, 585, 8478, 998, 8835, 8750, 454, 268, 1715, 5690, 5654, 693, 875, 8835, 10664, 786, 13789, 1310, 2916, 1689, 454, 27455, 2924, 543, 1349, 1161, 454, 268, 700, 4861, 758, 5070, 9553, 13313, 16785, 5170, 607, 12868, 547, 16056, 18666, 454, 268, 21537, 1047, 4503, 286, 8478, 779, 7887, 536, 32706, 5599, 6109, 3954, 625, 5757, 710, 2924, 454, 268, 634, 524, 913, 1540, 9371, 540, 519, 2048, 10048, 540, 519, 670, 1961, 685, 543, 1010, 16916, 8835, 4104, 454, 268, 5245, 11523, 6658, 593, 2916, 1486, 22246, 9428, 8015, 4339, 1996, 3154, 1788, 454, 268, 19176, 2825, 626, 30992, 547, 476, 274, 1296, 538, 7890, 585, 3454, 859, 5235, 454, 268, 12312, 540, 1793, 664, 2372, 559, 558, 19096, 6205, 786, 1869, 11441, 585, 2146, 779, 2924, 454, 268, 11473, 281, 12866, 7843, 321, 2946, 7087, 15628, 8929, 538, 8835, 1014, 2048, 25659, 332, 3282, 2112, 20371, 268, 7087, 15628, 3747, 5126, 1310, 476, 276, 8929, 538, 8835, 1014, 2048, 25659, 332, 3282, 2112, 20371, 5715, 2158, 807, 781, 11206, 15050, 2103, 454, 268, 769, 645, 11448, 334, 267, 519, 2048, 20175, 540, 631, 4821, 685, 4339, 12868, 779, 23967, 609, 782, 2914, 2674, 12284, 454, 268, 27505, 518, 29436, 1150, 3122, 661, 3944, 328, 267, 476, 10463, 267, 20061, 1394, 519, 1296, 538, 12868, 779, 32020, 7267, 334, 454, 268, 2991, 476, 736, 1296, 543, 5215, 540, 4054, 12630, 267, 17833, 574, 656, 534, 779, 25982, 2062, 3122, 26251, 454, 268, 10897, 328, 559, 1323, 8705, 267, 24414, 14147, 2861, 22600, 17311, 1332, 518, 267, 10523, 693, 476, 5038, 454, 268, 11206, 11808, 547, 5818, 13947, 3085, 1406, 723, 547, 15093, 3529, 4763, 454, 268, 1215, 3744, 543, 513, 2146, 616, 8744, 513, 645, 11448, 534, 5757, 23725, 528, 1394, 547, 1272, 454, 268, 11206, 11808, 666, 24214, 1732, 609, 1480, 4543, 1688, 267, 1353, 2982, 454, 268, 3245, 3731, 8573, 5200, 547, 15395, 267, 4414, 25352, 568, 606, 6532, 11808, 1909, 2203, 454, 306, 11322, 7489, 5989, 454, 268, 12868, 779, 1007, 3854, 2048, 342, 517, 1406, 15093, 519, 1604, 685, 281, 1627, 26031, 609, 715, 639, 656, 4673, 779, 3733, 337, 3534, 1306, 333, 1177, 10620, 6380, 527, 686, 454, 268, 9540, 6705, 538, 1929, 2692, 607, 25591, 3649, 951, 593, 29139, 548, 590, 777, 5726, 3652, 454, 268, 1677, 1628, 922, 2048, 13582, 685, 3854, 2749, 267, 12868, 8255, 513, 4155, 998, 513, 7686, 5744, 4104, 454, 268, 7605, 755, 5757, 10350, 1883, 547, 19620, 631, 2131, 784, 5211, 21755, 538, 3068, 540, 21394, 0, 1692, 798, 12601, 338, 10518, 909, 888, 288, 2603, 540, 1004, 723, 2854, 14916, 827, 875, 3167, 6472, 10518, 909, 547, 29528, 267, 4620, 1503, 26209, 267, 7250, 4492, 1591, 6472, 267, 543, 865, 593, 269, 769, 5758, 267, 1498, 267, 707, 12601, 779, 4398, 568, 12936, 676, 5663, 267, 1141, 543, 875, 596, 5397, 267, 543, 875, 4264, 707, 1379, 3761, 568, 563, 2691, 621, 2501, 547, 5663, 6472, 267, 649, 723, 519, 5413, 540, 811, 982, 513, 2540, 540, 594, 4753, 5478, 3297, 721, 269, 17451, 2094, 10464, 3282, 1660, 743, 539, 2038, 3167, 6472, 856, 540, 519, 2344, 538, 519, 476, 5002, 271, 338, 267, 10081, 9755, 723, 1044, 4466, 2081, 547, 3132, 594, 4753, 6472, 693, 4336, 267, 10464, 569, 563, 763, 1482, 666, 1406, 581, 1767, 540, 12601, 338, 269, 4014, 519, 1101, 6472, 941, 3167, 267, 789, 10093, 1406, 1044, 3812, 693, 4336, 2394, 5266, 5063, 269, 634, 9075, 1631, 1031, 538, 1346, 6472, 616, 693, 519, 1439, 540, 513, 1279, 543, 4199, 25673, 3761, 1899, 1765, 810, 952, 649, 1152, 5635, 519, 5478, 540, 1142, 2186, 540, 6174, 267, 972, 616, 811, 2518, 8337, 5434, 2404, 609, 6721, 3167, 563, 8489, 519, 12285, 16125, 519, 4155, 267, 12601, 338, 2253, 547, 6952, 909, 609, 741, 594, 4753, 30980, 563, 763, 5742, 540, 19634, 2740, 12207, 7330, 5359, 602, 267, 547, 6474, 519, 2518, 8337, 5434, 540, 606, 3328, 12601, 267, 513, 4620, 1503, 6174, 1131, 991, 547, 3035, 513, 4492, 4398, 540, 476, 11011, 5195, 547, 519, 20645, 30147, 18922, 547, 1175, 896, 476, 4375, 21240, 829, 1142, 1396, 516, 540, 4492, 563, 12024, 609, 594, 4753, 6517, 267, 1978, 5686, 540, 6117, 543, 1978, 1768, 23230, 1689, 875, 3608, 513, 6174, 568, 267, 855, 789, 5462, 602, 267, 593, 3328, 538, 519, 7330, 267, 606, 12601, 786, 2736, 1256, 593, 602, 5434, 25673, 6007, 538, 476, 2420, 3275, 540, 6117, 563, 2005, 849, 5673, 1765, 16673, 2041, 15069, 1765, 517, 875, 18660, 707, 7470, 568, 563, 2691, 649, 2911, 827, 1134, 3562, 2914, 515, 1564, 2079, 540, 594, 4753, 6472, 267, 649, 2461, 13288, 547, 519, 2898, 3761, 5832, 585, 4620, 1503, 267, 799, 568, 28020, 28537, 1765, 3199, 260, 540, 519, 1648, 568, 2356, 4503, 538, 519, 1184, 540, 10868, 267, 27715, 267, 21381, 267, 543, 865, 593, 563, 763, 1482, 2186, 540, 7156, 814, 547, 979, 883, 12570, 2436, 519, 1648, 2707, 676, 799, 596, 5279, 707, 12601, 568, 4264, 269, 769, 476, 1001, 280, 267, 3173, 689, 519, 2160, 540, 24368, 5206, 602, 4470, 593, 538, 799, 851, 540, 519, 2197, 596, 556, 12737, 539, 621, 267, 707, 12601, 779, 5434, 1223, 4268, 689, 1063, 476, 736, 260, 2539, 982, 513, 4620, 1503, 6174, 547, 476, 6434, 260, 2539, 269, 1656, 789, 849, 4362, 602, 513, 19018, 622, 630, 4818, 1563, 547, 519, 2489, 2551, 264, 1297, 540, 12601, 10256, 1031, 3859, 1379, 607, 851, 540, 741, 556, 12737, 532, 30147, 568, 6157, 811, 4264, 982, 5373, 689, 519, 7470, 563, 7021, 922, 10715, 267, 606, 3167, 6174, 786, 2141, 3132, 7864, 5434, 454, 4002, 2825, 1764, 267, 606, 12601, 786, 10726, 856, 606, 4835, 13674, 2599, 6174, 563, 3719, 602, 779, 6027, 2066, 922, 10715, 269, 5457, 267, 593, 3328, 267, 602, 1286, 3085, 1406, 968, 19874, 1256, 892, 3379, 547, 606, 594, 4753, 6174, 2394, 1296, 1310, 596, 1376, 6117, 621, 269, 1677, 2731, 7623, 519, 2640, 540, 707, 3167, 6174, 267, 596, 1131, 991, 547, 1832, 6117, 621, 585, 1296, 811, 269, 0, 13043, 11150, 281, 9351, 7844, 6396, 540, 18527, 454, 1103, 713, 835, 6066, 2979, 1576, 267, 649, 786, 1451, 543, 2259, 14921, 909, 547, 476, 273, 18251, 676, 476, 273, 18251, 2338, 1210, 519, 1858, 2203, 1505, 540, 8691, 563, 4785, 6103, 476, 274, 910, 476, 275, 454, 10743, 616, 1565, 2979, 8335, 982, 875, 741, 3237, 4121, 543, 3006, 602, 568, 4101, 585, 3237, 547, 948, 741, 1053, 1451, 2979, 2994, 269, 901, 1362, 568, 5059, 593, 17265, 835, 540, 1346, 2994, 267, 12082, 538, 1297, 2631, 267, 519, 9351, 7844, 6396, 540, 18527, 256, 630, 1607, 1505, 568, 3006, 5219, 547, 607, 519, 834, 26213, 6396, 1701, 264, 769, 713, 835, 6066, 1362, 267, 649, 786, 2689, 8691, 14249, 543, 519, 1858, 2203, 1505, 269, 901, 1362, 568, 3501, 585, 513, 2647, 2039, 540, 6267, 267, 689, 2483, 1607, 1362, 568, 6026, 538, 2296, 563, 10743, 786, 1451, 875, 547, 9062, 476, 273, 18251, 676, 476, 273, 18251, 2338, 1210, 519, 1858, 2203, 1505, 563, 25603, 519, 4116, 454, 8702, 6267, 543, 3885, 256, 594, 2648, 3450, 10026, 2979, 543, 2257, 267, 799, 594, 723, 936, 476, 1015, 1296, 540, 1995, 3257, 269, 594, 2972, 4101, 8885, 547, 2736, 1524, 9875, 3562, 268, 16187, 2979, 2035, 883, 2081, 602, 1053, 1265, 11541, 543, 2483, 30182, 12773, 281, 276, 269, 271, 10831, 540, 8039, 281, 263, 274, 994, 4467, 921, 1540, 676, 476, 280, 6267, 454, 299, 633, 3381, 11401, 454, 273, 268, 279, 6267, 829, 1362, 0, 1103, 1272, 267, 649, 1419, 1305, 3853, 585, 6000, 267, 20678, 547, 3035, 873, 538, 13922, 540, 4742, 3811, 267, 4583, 267, 610, 25343, 269, 1717, 267, 519, 10839, 676, 6424, 15966, 1638, 965, 12789, 1421, 968, 290, 3916, 321, 519, 7823, 865, 596, 666, 1294, 519, 1158, 267, 711, 865, 519, 1158, 666, 1294, 596, 2223, 19595, 721, 602, 938, 18144, 585, 13197, 938, 3853, 1058, 711, 581, 9003, 10704, 1472, 875, 1866, 13498, 721, 269, 5502, 267, 649, 1058, 1445, 593, 11543, 1007, 5380, 267, 7680, 2123, 2208, 267, 543, 11543, 513, 1732, 1620, 540, 519, 1158, 1472, 721, 563, 8139, 519, 12791, 19992, 519, 2372, 1774, 454, 4263, 1101, 16145, 267, 519, 10839, 1522, 3100, 899, 513, 2241, 4062, 540, 5796, 547, 5000, 1004, 547, 1445, 593, 1582, 21553, 2889, 22777, 2864, 982, 9003, 593, 8236, 21239, 543, 19539, 269, 1717, 267, 519, 4514, 2495, 3297, 519, 10839, 6013, 538, 519, 2856, 602, 1272, 568, 827, 5275, 1007, 2833, 543, 1565, 689, 873, 267, 2864, 982, 8806, 7213, 6819, 18517, 547, 1397, 1055, 547, 1866, 269, 1879, 649, 18214, 513, 7823, 267, 649, 616, 11319, 6000, 547, 519, 3970, 267, 1312, 9308, 543, 15508, 267, 538, 1931, 547, 2744, 513, 1007, 5133, 593, 519, 1158, 269, 634, 18214, 3294, 568, 606, 22920, 267, 855, 621, 568, 711, 519, 1034, 1271, 851, 540, 519, 3460, 563, 763, 10839, 849, 5267, 602, 649, 1058, 711, 2661, 938, 2729, 2687, 547, 824, 1004, 779, 6788, 269, 18320, 1419, 267, 649, 1205, 9575, 909, 538, 3843, 547, 23666, 1866, 610, 2744, 741, 13170, 267, 3079, 540, 13197, 938, 1378, 18653, 543, 4690, 269, 29725, 6883, 519, 7823, 568, 513, 14165, 585, 13197, 938, 1378, 2619, 267, 7488, 540, 1018, 1866, 949, 1589, 269, 1879, 649, 18214, 519, 7823, 585, 6000, 267, 649, 616, 5275, 547, 2744, 513, 1007, 5133, 267, 547, 1451, 267, 543, 547, 1332, 563, 28274, 519, 2372, 1774, 547, 3776, 22032, 454, 763, 10839, 666, 581, 4294, 547, 1082, 2127, 540, 938, 2729, 267, 689, 2123, 3347, 547, 4876, 3853, 269, 769, 938, 2123, 2729, 267, 621, 779, 2653, 547, 1205, 9575, 909, 538, 1018, 1866, 1589, 540, 721, 267, 543, 547, 1745, 2604, 547, 14883, 547, 741, 6788, 269, 1717, 267, 952, 649, 1445, 593, 938, 1378, 2208, 543, 1646, 267, 649, 666, 2744, 513, 4514, 1620, 540, 6000, 543, 519, 1158, 1472, 721, 563, 1103, 938, 11678, 267, 649, 949, 1745, 2604, 547, 3035, 1967, 610, 2744, 6284, 689, 1866, 269, 1717, 267, 952, 649, 1445, 593, 3257, 960, 602, 649, 1265, 6209, 543, 16180, 267, 2864, 982, 1175, 31743, 1310, 934, 565, 3547, 267, 649, 666, 1711, 513, 2631, 540, 3483, 543, 20106, 538, 938, 2729, 563, 1692, 547, 15233, 519, 2372, 1774, 538, 6657, 454, 2414, 4019, 519, 10839, 538, 2259, 267, 649, 666, 1376, 676, 4259, 3853, 585, 6000, 602, 616, 10704, 1472, 2123, 2208, 543, 1646, 267, 2864, 982, 5007, 15418, 269, 1284, 666, 1445, 593, 1565, 1007, 1983, 267, 11543, 1007, 5380, 267, 543, 5275, 856, 1007, 2833, 269, 1284, 666, 849, 3295, 6000, 609, 1004, 945, 2671, 938, 2418, 543, 1489, 938, 3853, 563, 5194, 1259, 547, 4019, 519, 10839, 568, 547, 4161, 6000, 547, 1900, 3544 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4055, 602, 6238, 609, 513, 1880, 4484, 454, 2171, 1223, 711, 1265, 519, 4484, 2473, 267, 865, 1250, 5067, 1767, 968, 343, 11920, 892, 543, 6410, 593, 547, 962, 563, 16605, 4466, 5022, 2394, 596, 3914, 2098, 454, 2467, 568, 1100, 16771, 538, 519, 3014, 563, 763, 3014, 5171, 616, 2324, 1927, 547, 1265, 782, 519, 5022, 538, 519, 9904, 563, 1103, 713, 3014, 267, 596, 616, 7114, 1913, 538, 513, 1978, 7121, 538, 9904, 673, 1931, 269, 901, 3014, 786, 1118, 596, 1589, 563, 16521, 519, 6688, 596, 1616, 547, 946, 538, 519, 3014, 563, 29613, 553, 585, 6688, 616, 7498, 2171, 8359, 1426, 607, 938, 7121, 563, 12648, 7140, 6031, 1913, 538, 9904, 673, 1931, 2394, 596, 1205, 547, 2098, 563, 763, 1101, 1268, 949, 2161, 968, 288, 568, 585, 11197, 454, 763, 2034, 6345, 949, 1533, 9232, 645, 568, 585, 14465, 3570, 3034, 2252, 513, 1268, 4991, 588, 22981, 593, 513, 4484, 267, 519, 824, 5716, 666, 4217, 873, 563, 5629, 596, 723, 6192, 835, 7121, 267, 3442, 1776, 835, 563, 1607, 568, 513, 1390, 6947, 3014, 585, 5716, 269, 898, 786, 948, 5716, 2259, 741, 3742, 6947, 1983, 269, 901, 3014, 666, 581, 5129, 609, 1079, 610, 811, 1004, 563, 3080, 6345, 786, 4584, 606, 6221, 538, 519, 4055, 563, 763, 1482, 6345, 786, 2285, 10881, 547, 519, 824, 1268, 4433, 264, 827, 519, 6221, 538, 519, 4055, 563, 763, 824, 5716, 685, 2816, 568, 547, 7058, 519, 6221, 1759, 593, 519, 10881, 2016, 563, 5629, 606, 6221, 814, 1044, 31665, 267, 1287, 1776, 6345, 786, 4584, 606, 6221, 543, 2285, 10881, 547, 1866, 563, 1607, 568, 875, 649, 1118, 7996, 585, 1279, 5712, 540, 942, 1187, 256, 898, 568, 513, 1390, 4244, 547, 2348, 3214, 593, 513, 5100, 6049, 610, 16979, 563, 7069, 1920, 6534, 803, 547, 2724, 693, 606, 2038, 2085, 269, 1306, 513, 2185, 4458, 6040, 267, 1250, 4587, 7015, 6931, 8124, 267, 5189, 803, 547, 10203, 2724, 269, 6931, 8124, 568, 22221, 1296, 1250, 9972, 267, 865, 646, 729, 1250, 21927, 2059, 609, 1373, 1250, 24107, 563, 5475, 1565, 875, 547, 2328, 538, 25777, 267, 1250, 3993, 5795, 803, 519, 4305, 540, 11423, 856, 11974, 547, 2628, 938, 7622, 10626, 12014, 269, 2991, 11264, 519, 4305, 267, 1250, 3158, 1131, 1129, 519, 2638, 563, 1607, 6026, 803, 3407, 4245, 269, 1306, 513, 8370, 4458, 6040, 267, 594, 729, 5432, 609, 875, 1454, 1250, 1920, 6976, 585, 1216, 267, 5201, 267, 15146, 267, 543, 10814, 2533, 269, 1306, 513, 1267, 267, 594, 729, 6857, 540, 7432, 1055, 8279, 950, 594, 2451, 513, 4055, 543, 875, 1454, 1216, 594, 1031, 950, 2921, 513, 8602, 269, 4495, 594, 3323, 9878, 12014, 593, 1250, 1378, 267, 621, 729, 2034, 2470, 547, 2628, 873, 538, 513, 12905, 6073, 563, 1607, 1433, 568, 2139, 593, 8835, 269, 8437, 519, 3239, 1657, 547, 1569, 621, 563, 7628, 519, 28782, 540, 1250, 1647, 543, 1164, 1153, 1296, 267, 6931, 8124, 543, 1010, 7385, 267, 18466, 548, 267, 14376, 803, 547, 3251, 609, 873, 585, 1079, 547, 1614, 4374, 269, 4438, 891, 2053, 267, 789, 6534, 803, 547, 2724, 3584, 971, 607, 519, 6006, 2344, 267, 1719, 3928, 267, 543, 5491, 998, 3756, 543, 1909, 4249, 269, 1358, 849, 11262, 543, 13234, 513, 1870, 543, 621, 729, 1250, 2816, 547, 4217, 543, 1451, 1018, 621, 3576, 547, 581, 606, 16724, 563, 303, 23035, 898, 2201, 454, 2691, 1250, 5067, 267, 595, 800, 267, 729, 19939, 3275, 267, 646, 4718, 513, 10116, 593, 519, 3349, 543, 19184, 539, 621, 538, 519, 2011, 269, 1261, 729, 27086, 693, 519, 3280, 621, 1500, 2899, 621, 5734, 519, 6989, 269, 1261, 8604, 5461, 538, 519, 10116, 543, 594, 4956, 621, 729, 942, 547, 1397, 1864, 513, 6477, 4445, 4871, 563, 7069, 3483, 729, 547, 1577, 1864, 5905, 267, 1745, 267, 543, 1404, 609, 11113, 269, 5221, 595, 800, 729, 19939, 3275, 693, 713, 942, 267, 594, 18423, 2673, 547, 1864, 269, 594, 1705, 711, 1616, 1864, 547, 2322, 519, 2724, 538, 1010, 5023, 269, 1261, 5402, 3576, 30779, 625, 267, 12183, 1564, 267, 546, 1307, 267, 543, 20453, 856, 540, 519, 5068, 9126, 543, 2322, 873, 538, 519, 6477, 4445, 4871, 269, 1261, 729, 20938, 609, 519, 804, 4474, 3280, 1500, 607, 519, 11113, 5734, 519, 5377, 540, 519, 6477, 4445, 4871, 563, 290, 800, 543, 594, 723, 8268, 1585, 2883, 7924, 3584, 2094, 1010, 1101, 7237, 609, 519, 10116, 607, 513, 19939, 3923, 2025, 269, 1452, 3584, 2039, 689, 2724, 6284, 543, 9494, 547, 1483, 10040, 10115, 543, 1870, 269, 1261, 814, 1044, 6534, 547, 713, 1888, 998, 3756, 543, 22488, 2238, 269, 1280, 1383, 267, 649, 5941, 1483, 10040, 10115, 676, 1210, 7591, 5937, 2129, 267, 1957, 267, 543, 15513, 563, 2171, 723, 849, 5941, 519, 3483, 540, 1286, 6142, 676, 1210, 1010, 11442, 6517, 269, 3733, 5067, 543, 594, 6108, 513, 2603, 540, 942, 538, 519, 1286, 2469, 547, 519, 17365, 4558, 267, 1404, 30098, 267, 5939, 267, 5399, 267, 3092, 269, 595, 800, 729, 8049, 827, 1018, 4523, 952, 594, 5734, 513, 1286, 269, 901, 3366, 547, 513, 4901, 827, 1286, 10913, 267, 7128, 10492, 267, 543, 1286, 6142, 1247, 649, 1185, 513, 1521, 693, 667, 6064, 514, 5213, 7491, 269, 1284, 4682, 1753, 543, 3989, 2474, 971, 607, 15668, 543, 16580, 6142, 676, 4730, 543, 1835, 4770, 11442, 6517, 563, 19400, 519, 3381, 2630, 547, 1451, 875, 547, 4001, 1453, 519, 2883, 7924, 1913, 267, 2667, 1115, 267, 9149, 3809, 267, 543, 3690, 13905, 676, 3274, 4730, 3933, 30496, 563, 19350, 616, 2055, 1082, 3237, 723, 827, 3450, 3214, 2883, 7924, 7498, 1692, 798, 596, 4001, 3214, 827, 18083, 888, 2750, 19397, 1453, 547, 4245, 538, 8804, 1281, 711, 723, 547, 581, 3819, 543, 19309, 269, 769, 1249, 267, 607, 4079, 649, 4308, 609, 2724, 3592, 593, 513, 3232, 4493, 269, 1411, 666, 1331, 707, 1126, 538, 930, 540, 1346, 1483, 1158, 2833, 267, 899, 1250, 3237, 1705, 267, 676, 2348, 873, 2628, 585, 741, 1378, 6221, 693, 519, 4558, 610, 4543, 596, 2628, 12014, 563, 5194, 2856, 568, 547, 946, 707, 1126, 779, 9162, 547, 2491, 2883, 2035, 2147, 547, 875, 649, 1031, 11442, 6517, 547, 2491, 1286, 6142, 563, 4415, 936, 476, 1789, 1296, 540, 5916, 1995, 538, 3450, 2883, 7924, 267, 6931, 8124, 543, 594, 723, 2854, 513, 1433, 1572, 267, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 269, 2467, 616, 936, 476, 8099, 3756, 270, 716, 8481, 267, 4388, 267, 543, 2200, 593, 875, 547, 4001, 3214, 2883, 7924, 693, 606, 2038, 2085, 269, 634, 2238, 1331, 2326, 543, 9162, 602, 596, 2907, 723, 538, 707, 1753, 269, 1358, 849, 1331, 1187, 2361, 15143, 602, 1711, 513, 3946, 6823, 1935, 543, 513, 7110, 547, 707, 1126, 779, 1565, 563, 2005, 786, 948, 596, 1491, 519, 27378, 3014, 856, 540, 875, 547, 16616, 3214, 547, 2724, 3584, 543, 2035, 563, 1432, 568, 6026, 538, 2883, 7924, 888, 1103, 519, 1433, 267, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 267, 649, 2232, 2724, 3584, 971, 607, 519, 1686, 540, 2724, 267, 1585, 2081, 1004, 7118, 621, 267, 543, 875, 621, 568, 1031, 269, 1411, 786, 1451, 1187, 2081, 547, 4001, 707, 1126, 827, 22343, 267, 2596, 12948, 267, 519, 3017, 1063, 20824, 543, 7221, 267, 543, 7963, 563, 2171, 849, 4001, 596, 875, 547, 946, 3688, 538, 707, 1753, 267, 971, 607, 9162, 543, 7802, 267, 547, 6338, 707, 1126, 547, 1483, 10040, 10115, 267, 13632, 267, 7554, 267, 543, 8994, 7482, 269, 6258, 547, 946, 7622, 3688, 547, 1711, 1187, 7653, 543, 1909, 4249, 865, 707, 1126, 786, 723, 606, 1620, 540, 891, 5396, 563, 2252, 596, 723, 513, 1126, 945, 814, 513, 2603, 540, 2093, 610, 814, 513, 7287, 547, 7118, 2724, 267, 4358, 513, 1870, 949, 581, 13267, 547, 873, 269, 1411, 786, 4309, 513, 1900, 8386, 9912, 3391, 593, 875, 707, 1126, 666, 581, 606, 16724, 269, 4634, 952, 707, 1126, 568, 711, 5461, 538, 1870, 267, 621, 568, 1390, 547, 16616, 873, 547, 713, 1641, 547, 5000, 873, 547, 957, 593, 741, 2093, 563, 1692, 1705, 596, 6430, 593, 891, 2883, 7924, 3584, 888, 2005, 729, 1271, 585, 6931, 8124, 543, 594, 547, 4001, 1453, 519, 1686, 540, 2724, 267, 875, 621, 568, 1031, 267, 875, 547, 7118, 621, 267, 543, 1818, 621, 1332, 269, 634, 3483, 540, 713, 1433, 568, 585, 1453, 547, 723, 513, 2596, 1620, 540, 2724, 2094, 789, 786, 4383, 621, 538, 741, 2104, 269, 1284, 3769, 3756, 543, 2238, 865, 596, 786, 917, 875, 547, 1459, 519, 1344, 538, 513, 17159, 543, 1187, 6073, 563, 4322, 2883, 7924, 3584, 941, 1759, 593, 6931, 8124, 779, 543, 1250, 3450, 1995, 269, 594, 723, 1995, 538, 2870, 21195, 543, 17849, 936, 476, 1839, 3610, 547, 16616, 3214, 547, 1483, 10040, 10115, 267, 519, 6006, 2344, 267, 22343, 267, 9494, 267, 3092, 269, 769, 3105, 6009, 267, 594, 5280, 3214, 1376, 4213, 1141, 789, 1500, 2724, 563, 31690, 8124, 568, 519, 2883, 4274, 538, 938, 1920, 543, 814, 476, 2767, 1296, 1995, 538, 2883, 2533, 543, 3450, 3214, 827, 2724, 269, 1261, 543, 1250, 3237, 941, 1250, 1101, 3610, 593, 2883, 3584, 269, 6931, 8124, 568, 513, 5449, 4871, 9614, 267, 6006, 30549, 267, 3454, 2054, 626, 267, 1072, 6142, 11285, 267, 13931, 538, 1272, 3959, 543, 13680, 1399, 6142, 267, 20090, 267, 543, 18579, 540, 519, 2475, 9540, 6355, 10029, 24573, 584, 540, 519, 5729, 563, 1607, 1946, 594, 4280, 1864, 547, 1071, 2914, 1679, 519, 1433, 609, 803, 269, 594, 3972, 1010, 27790, 2523, 950, 621, 2501, 547, 2883, 3584, 269, 1261, 9516, 519, 3584, 543, 1543, 538, 519, 1433, 563, 3963, 568, 2883, 7924, 1271, 585, 6107, 888, 27144, 918, 12011, 657, 13403, 267, 519, 2278, 540, 6762, 667, 611, 18648, 667, 611, 1767, 950, 596, 616, 606, 2937, 707, 1867, 3556, 568, 707, 5491, 6060, 269, 901, 3948, 568, 1360, 3020, 269, 901, 568, 835, 2601, 1946, 3450, 3214, 2883, 7924, 568, 865, 1271, 269, 4495, 513, 1126, 3587, 606, 2937, 267, 7829, 2724, 3587, 17149, 563, 2005, 568, 1655, 547, 1118, 713, 1184, 4443, 585, 1453, 676, 20392, 873, 547, 2724, 3584, 1247, 789, 616, 1762, 269, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 2982, 3237, 543, 3610, 875, 547, 9585, 713, 609, 2200, 789, 946, 3232, 563, 4131, 779, 1205, 938, 1453, 513, 2883, 2212, 1376, 543, 11441, 547, 2569, 519, 1297, 835, 2566, 538, 938, 2486, 2221, 267, 2724, 563, 763, 3883, 779, 17030, 454, 31690, 8124, 543, 594, 723, 1500, 621, 938, 5692, 547, 16616, 1453, 547, 2724, 3584, 538, 513, 1187, 1259, 269, 2060, 936, 476, 1789, 1296, 540, 5916, 1995, 538, 3450, 6107, 2883, 7924, 267, 649, 2285, 596, 513, 1101, 11804, 2070, 540, 875, 547, 1118, 2724, 513, 6643, 602, 568, 1187, 267, 2067, 267, 543, 4277, 2336, 1607, 568, 513, 1390, 1907, 585, 3237, 543, 7855, 540, 1453, 6502, 476, 275, 268, 1015, 2336, 1607, 1433, 2488, 519, 1739, 543, 865, 1454, 811, 7498, 1692, 547, 946, 1483, 8996, 2833, 547, 16616, 3214, 547, 2883, 7924, 454, 29222, 2238, 547, 6338, 20854, 543, 23021, 547, 2724, 6284, 563, 1692, 2724, 568, 1031, 538, 938, 2486, 1631, 543, 538, 519, 2250, 563, 26452, 2081, 602, 1004, 7118, 2724, 454, 30131, 4245, 538, 22343, 2724, 454, 763, 9238, 540, 12948, 454, 763, 3017, 1063, 513, 15668, 543, 10697, 454, 26452, 2010, 540, 7963, 543, 875, 621, 568, 1031, 454, 1692, 1004, 1902, 538, 7464, 24529, 454, 1692, 1004, 1902, 538, 519, 6006, 2344, 267, 7554, 267, 543, 8994, 7482, 454, 28275, 543, 5665, 513, 1870, 454, 298, 573, 6355, 14313, 454, 763, 3483, 540, 2348, 6142, 454, 2080, 568, 1548, 11524, 616, 590, 11691, 6168, 519, 3883, 454, 296, 2648, 602, 713, 1433, 3947, 1453, 606, 1620, 540, 2724, 543, 18083, 269, 3502, 1152, 1281, 621, 5490, 883, 2093, 602, 1118, 2724, 267, 855, 621, 11414, 519, 5013, 540, 2724, 282, 922, 3483, 267, 875, 547, 946, 2724, 607, 513, 1907, 547, 1332, 538, 782, 2127, 540, 938, 2729, 543, 824, 6472, 602, 948, 18645, 2883, 2208, 563, 296, 4121, 865, 1454, 689, 713, 1433, 269, 2290, 1469, 602, 12758, 609, 803, 729, 519, 1379, 540, 2324, 3965, 269, 9894, 596, 917, 602, 621, 568, 811, 1271, 982, 21842, 286, 1306, 2141, 267, 594, 1616, 547, 2671, 1018, 594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25270, 815, 476, 17168, 1822, 454, 2335, 783, 19950, 31948, 815, 476, 271, 269, 273, 454, 14140, 318, 25270, 815, 3666, 454, 12294, 10734, 895, 815, 3666, 270, 1321, 454, 21639, 10734, 895, 815, 630, 25270, 2608, 16733, 272, 1341, 630, 2335, 783, 19950, 31948, 270, 1321, 4297, 1262, 1321, 4297, 270, 1321, 454, 6112, 6936, 912, 825, 3666, 815, 1101, 318, 25270, 454, 825, 10865, 28324, 618, 815, 630, 21639, 10734, 895, 1341, 2539, 10734, 895, 8358, 273, 454, 825, 585, 1775, 538, 2039, 630, 1321, 2187, 1038, 3666, 815, 3666, 910, 10865, 28324, 618, 454, 1038, 3923, 15517, 815, 3666, 2608, 630, 2335, 783, 19950, 31948, 270, 1321, 269, 271, 994, 1038, 3666, 815, 3666, 1341, 3923, 15517, 454, 825, 952, 3666, 10922, 476, 271, 543, 3666, 13843, 910, 271, 269, 272, 912, 1038, 2736, 454, 825, 8640, 3666, 3436, 476, 271, 912, 1038, 2539, 10734, 895, 815, 10865, 28324, 618, 454, 825, 3116, 912, 1038, 5580, 10734, 895, 815, 10865, 28324, 618, 454, 2745, 2891, 20181, 652, 32237, 281, 14307, 5180, 263, 24629, 569, 28324, 618, 267, 476, 273, 4917, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 8193, 281, 583, 325, 268, 279, 692, 258, 476, 5785, 32458, 9339, 8894, 258, 7711, 12041, 672, 2433, 7117, 21628, 9884, 836, 454, 258, 7711, 14630, 11434, 2433, 476, 1708, 271, 268, 1015, 268, 2420, 476, 1626, 281, 2767, 454, 258, 7711, 17572, 11434, 2433, 678, 19561, 583, 2812, 18258, 454, 258, 7711, 20373, 281, 2368, 1455, 2409, 4122, 1031, 454, 258, 476, 5785, 5785, 28598, 5814, 795, 5459, 454, 5814, 15259, 454, 5228, 2619, 12221, 1104, 11202, 454, 5814, 1016, 15263, 454, 5814, 1535, 6447, 269, 564, 872, 9950, 2211, 21698, 607, 21180, 692, 3698, 2638, 5091, 597, 5560, 597, 2187, 825, 5727, 29991, 2436, 519, 15682, 6818, 267, 952, 621, 1281, 711, 2291, 267, 1711, 519, 15682, 12163, 825, 952, 711, 15259, 29624, 20216, 1235, 5560, 597, 2187, 1038, 2119, 912, 2018, 15259, 6230, 8898, 15077, 5560, 597, 994, 1038, 4849, 11711, 2750, 1235, 13286, 912, 2018, 1820, 2891, 310, 27073, 5058, 281, 30615, 2907, 6818, 15419, 3698, 2638, 7272, 1861, 5091, 597, 6600, 32327, 2187, 825, 5727, 29991, 2436, 519, 15682, 1141, 519, 3758, 6818, 6818, 267, 952, 621, 1281, 711, 2291, 267, 1711, 519, 15682, 12163, 825, 2619, 815, 15259, 29624, 6155, 597, 4067, 6600, 32327, 994, 825, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 264, 543, 2619, 14714, 8692, 10031, 1038, 2119, 912, 2018, 15259, 6230, 8898, 15077, 9638, 987, 994, 1038, 4849, 11711, 2750, 1235, 13286, 912, 2018, 1820, 2891, 310, 27073, 5058, 281, 30615, 2907, 6818, 15419, 3698, 2638, 18316, 318, 1410, 626, 6600, 32327, 2187, 825, 5727, 29991, 2436, 519, 1267, 3758, 6818, 610, 711, 267, 14827, 519, 1982, 12163, 825, 952, 711, 15259, 29624, 18994, 12803, 6600, 32327, 2187, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1267, 3758, 1281, 711, 2291, 2433, 4939, 338, 257, 4939, 32197, 994, 1038, 14827, 263, 272, 2020, 3698, 2638, 5091, 597, 318, 1410, 626, 31114, 5091, 597, 2187, 825, 5727, 29991, 2436, 519, 1267, 15682, 6818, 610, 711, 267, 14827, 519, 1982, 12163, 825, 952, 711, 15259, 29624, 18994, 323, 597, 31114, 5091, 597, 2187, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1267, 15682, 1281, 711, 2291, 2433, 4939, 338, 257, 4939, 1267, 5091, 597, 994, 1038, 14827, 263, 272, 2020, 3698, 2638, 318, 24105, 5091, 597, 5560, 1311, 800, 2187, 825, 5727, 29991, 2436, 519, 15682, 8900, 610, 711, 267, 14827, 519, 1982, 952, 8900, 12163, 825, 952, 7003, 263, 657, 269, 4289, 323, 597, 5560, 1311, 800, 4297, 2652, 476, 271, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 15682, 568, 8900, 2433, 4939, 338, 257, 4939, 15682, 994, 1038, 14827, 263, 272, 2020, 3698, 2328, 18316, 6600, 32327, 267, 5569, 2187, 825, 5727, 2237, 5569, 547, 3758, 12163, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 535, 815, 1930, 6600, 32327, 267, 1412, 342, 3299, 17683, 8782, 583, 325, 268, 279, 5073, 825, 535, 22182, 30415, 994, 825, 535, 25379, 10797, 3698, 2328, 19553, 5459, 18316, 6600, 32327, 267, 1543, 18380, 2187, 825, 5727, 2237, 9598, 547, 3758, 12163, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 609, 1930, 6600, 32327, 267, 834, 342, 2580, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 795, 5459, 6155, 2794, 263, 20880, 18380, 267, 535, 2020, 3698, 2328, 8217, 18316, 6600, 32327, 267, 3758, 8217, 267, 694, 335, 8782, 315, 333, 262, 2187, 825, 5727, 2237, 1592, 547, 3758, 780, 825, 1488, 7714, 912, 1038, 32197, 19304, 2567, 19540, 503, 24731, 7511, 24757, 10524, 370, 3248, 1038, 3758, 8217, 17338, 2567, 24757, 10524, 370, 28578, 23989, 3248, 1038, 694, 335, 19304, 2567, 26166, 421, 504, 498, 31033, 267, 421, 375, 502, 18777, 353, 29004, 351, 27310, 262, 315, 333, 262, 780, 825, 8173, 825, 952, 15259, 29624, 20216, 1235, 6600, 32327, 2187, 1038, 15259, 31927, 6600, 32327, 994, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 535, 815, 1930, 6600, 32327, 267, 1412, 320, 3299, 17683, 8782, 583, 325, 268, 279, 5073, 825, 585, 1775, 267, 1899, 538, 26246, 31526, 8217, 2187, 1038, 1948, 476, 31006, 12571, 492, 13601, 421, 350, 373, 12571, 492, 30837, 351, 21251, 20693, 510, 26166, 421, 504, 498, 31033, 454, 1038, 952, 1775, 2652, 7003, 31526, 8217, 264, 910, 476, 272, 912, 2018, 535, 22182, 263, 1467, 994, 1038, 3116, 912, 2018, 535, 22182, 263, 1467, 1341, 694, 335, 994, 825, 535, 25379, 10797, 3698, 1224, 18316, 6600, 32327, 2187, 825, 5727, 19530, 519, 3758, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 1543, 815, 535, 18667, 4590, 825, 1820, 2891, 763, 1535, 6447, 3758, 568, 2433, 4939, 338, 267, 1820, 519, 3758, 2433, 315, 333, 260, 338, 257, 4939, 630, 16344, 17575, 267, 1543, 11723, 3698, 1224, 19553, 5459, 18316, 6600, 32327, 2187, 825, 5727, 1348, 795, 5459, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 834, 337, 2580, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 1543, 18380, 815, 795, 5459, 269, 2903, 6600, 994, 825, 1948, 1820, 2891, 763, 795, 5459, 3758, 568, 2433, 4939, 338, 267, 1820, 519, 3758, 2433, 315, 333, 260, 338, 257, 4939, 630, 16344, 17575, 267, 1543, 18380, 4917, 825, 2132, 1543, 18380, 692, 3698, 1205, 18316, 318, 20880, 6600, 32327, 2187, 825, 5727, 19530, 519, 3758, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 2132, 535, 18667, 10797, 3698, 2196, 6262, 30113, 2187, 825, 2119, 912, 1038, 759, 815, 1016, 15263, 269, 14725, 6262, 30113, 267, 7387, 18989, 267, 2638, 18989, 994, 825, 4849, 1016, 15263, 5861, 6817, 31088, 13286, 607, 20093, 912, 1038, 1820, 3488, 2207, 305, 3036, 281, 3299, 20093, 994, 1038, 14827, 263, 272, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 637, 269, 16911, 994, 1038, 1820, 3488, 27987, 4567, 3009, 281, 22207, 759, 269, 8873, 13892, 2020, 3698, 2196, 318, 23719, 318, 1410, 527, 6262, 30113, 2187, 825, 2119, 912, 1038, 759, 815, 1016, 15263, 269, 14725, 6262, 30113, 267, 7387, 18989, 267, 2638, 18989, 994, 825, 4849, 1016, 15263, 5861, 6817, 31088, 13286, 607, 20093, 912, 1038, 1820, 3488, 310, 27073, 5058, 281, 3299, 20093, 994, 1038, 1948, 1410, 527, 263, 272, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 637, 269, 16911, 994, 1038, 1820, 3488, 27987, 4567, 3009, 281, 22207, 759, 269, 8873, 13892, 2020, 3698, 1205, 318, 13548, 18316, 9638, 987, 2676, 4449, 567, 24909, 284, 9131, 339, 604, 3299, 1412, 19112, 3299, 1412, 339, 858, 3299, 1412, 2316, 293, 3299, 1412, 8379, 294, 3299, 1412, 2316, 13697, 11172, 2676, 4449, 567, 3239, 25292, 8782, 718, 262, 2187, 825, 5727, 8266, 782, 6119, 1369, 513, 15682, 609, 519, 2016, 24909, 563, 8931, 825, 1488, 7714, 912, 1038, 2619, 630, 1598, 2567, 11711, 2619, 563, 1038, 24909, 630, 4289, 2567, 11711, 21879, 1592, 563, 1038, 3239, 25292, 630, 1598, 2567, 12005, 1826, 538, 18358, 718, 3299, 1412, 916, 338, 3299, 1412, 3966, 3299, 1412, 1091, 332, 28710, 9949, 1412, 718, 262, 780, 825, 8173, 825, 708, 326, 6958, 3796, 815, 11713, 825, 585, 970, 538, 24909, 912, 1038, 3758, 6958, 895, 815, 11202, 9638, 987, 1040, 6921, 984, 3488, 1262, 270, 29688, 24001, 8339, 8971, 263, 2169, 4917, 1038, 585, 535, 538, 3758, 6958, 895, 912, 2018, 535, 23919, 815, 1193, 6600, 994, 2018, 535, 333, 815, 15259, 29624, 12500, 553, 17575, 6600, 23919, 994, 2018, 952, 535, 23919, 711, 538, 708, 326, 6958, 3796, 912, 3546, 952, 535, 333, 31573, 14061, 11034, 1873, 603, 3488, 321, 329, 274, 10807, 610, 535, 333, 31573, 14061, 11034, 1873, 603, 3488, 28256, 1255, 520, 262, 2187, 7386, 952, 535, 333, 269, 1742, 5976, 3488, 321, 4900, 518, 6745, 604, 262, 2187, 13376, 3136, 454, 3546, 952, 3239, 25292, 2652, 1412, 718, 9166, 476, 1948, 782, 2592, 1336, 563, 7386, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 916, 338, 9166, 476, 1948, 3818, 1606, 1051, 1537, 2592, 563, 7386, 952, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 325, 822, 332, 318, 3299, 1412, 318, 332, 5060, 318, 3299, 1412, 300, 308, 311, 3299, 1412, 318, 5960, 318, 3299, 1412, 5960, 306, 3299, 1412, 300, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 3966, 9166, 476, 1948, 3818, 1606, 1051, 1537, 2592, 563, 7386, 952, 535, 333, 269, 11034, 1873, 603, 3488, 24427, 278, 262, 2187, 13376, 952, 1412, 318, 289, 310, 291, 318, 262, 514, 535, 333, 912, 23351, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 7386, 8640, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 333, 822, 335, 318, 3299, 1412, 318, 333, 611, 318, 3299, 1412, 2793, 291, 3299, 1412, 303, 3198, 3299, 1412, 318, 303, 318, 3299, 1412, 3966, 3299, 1412, 303, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 1091, 332, 9166, 476, 1948, 546, 8243, 3403, 2592, 563, 7386, 952, 535, 333, 269, 11034, 1873, 603, 3488, 306, 309, 262, 2187, 13376, 952, 535, 333, 269, 1742, 5976, 2891, 303, 3198, 272, 6745, 858, 8442, 610, 535, 333, 269, 1742, 5976, 2891, 303, 3198, 273, 6745, 858, 257, 2187, 23351, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 7386, 8640, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 333, 822, 335, 318, 3299, 1412, 318, 333, 611, 318, 3299, 1412, 2793, 291, 3299, 1412, 325, 822, 335, 318, 3299, 1412, 318, 325, 23424, 318, 3299, 21029, 293, 310, 291, 3299, 1412, 318, 293, 310, 291, 318, 3299, 1412, 318, 321, 23424, 318, 3299, 21029, 289, 310, 291, 3299, 1412, 318, 289, 310, 291, 318, 3299, 1412, 303, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 3116, 912, 7386, 6318, 28759, 2891, 13548, 25292, 1058, 581, 538, 18358, 718, 3299, 1412, 916, 338, 3299, 1412, 3966, 3299, 1412, 1091, 332, 11172, 23528, 825, 2132, 708, 326, 6958, 3796, 692, 3698, 1689, 318, 821, 13448, 6447, 3287, 6447, 12803, 2187, 825, 5727, 12163, 825, 2703, 815, 21180, 269, 27785, 3287, 6447, 12803, 994, 825, 3597, 815, 2703, 10947, 10174, 4590, 825, 1016, 272, 815, 3597, 26098, 3488, 18744, 305, 16412, 5073, 825, 1016, 272, 269, 3667, 815, 1412, 25152, 7055, 825, 2703, 22182, 3287, 6447, 12803, 994, 825, 1820, 3488, 1366, 734, 323, 821, 1366, 262, 9239, 3698, 1205, 318, 13548, 25292, 31526, 12173, 2187, 825, 5727, 297, 19276, 519, 3239, 1826, 2687, 547, 3758, 2012, 267, 2132, 2010, 1331, 1496, 3966, 267, 544, 1087, 267, 7183, 316, 12163, 825, 952, 3758, 12173, 269, 1742, 5976, 3488, 321, 4900, 518, 6745, 604, 262, 2187, 1038, 2132, 454, 825, 1948, 28859, 360, 502, 418, 503, 363, 12255, 29004, 362, 454, 825, 952, 3758, 12173, 269, 11034, 1873, 603, 3488, 306, 309, 262, 2187, 1038, 9041, 3966, 267, 9041, 916, 338, 815, 18358, 303, 272, 3299, 1412, 303, 273, 28710, 18358, 300, 272, 3299, 1412, 300, 273, 23300, 1038, 585, 1775, 538, 2039, 12759, 263, 318, 3966, 15892, 2018, 952, 3758 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 941, 2366, 538, 513, 12119, 22558, 540, 12897, 543, 4280, 593, 930, 24008, 267, 3238, 519, 971, 6905, 25315, 956, 563, 289, 565, 14746, 568, 544, 20293, 1633, 3758, 29717, 28130, 264, 835, 540, 873, 814, 20387, 547, 581, 8502, 543, 519, 2232, 945, 786, 1865, 713, 786, 8207, 7662, 540, 602, 2073, 5225, 2824, 519, 4647, 543, 513, 991, 1131, 7118, 28953, 676, 4180, 1010, 6360, 607, 2022, 267, 519, 12601, 28475, 289, 7495, 312, 568, 556, 12737, 539, 547, 1865, 513, 909, 3562, 15082, 1184, 568, 585, 713, 3028, 1265, 2219, 547, 1287, 1118, 4706, 1053, 1131, 8428, 623, 10998, 289, 646, 2966, 18796, 476, 1428, 3347, 562, 1405, 267, 1152, 5747, 602, 1010, 6240, 786, 3035, 2731, 476, 275, 547, 6338, 9411, 676, 519, 5836, 543, 9594, 3561, 538, 513, 2034, 7862, 269, 623, 4680, 542, 534, 513, 24140, 520, 549, 15642, 2297, 1642, 17650, 26915, 10016, 8145, 334, 5082, 7394, 29717, 645, 10008, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 21112, 520, 257, 607, 851, 540, 834, 30311, 1315, 9099, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 2233, 1738, 320, 543, 1215, 898, 2052, 18748, 2974, 692, 5970, 596, 2479, 5433, 513, 8325, 267, 15246, 1928, 602, 6238, 538, 707, 2539, 1394, 543, 12599, 1524, 835, 540, 707, 7953, 286, 1403, 865, 267, 596, 1522, 723, 4810, 1414, 1738, 320, 256, 1809, 1018, 4010, 568, 1414, 1738, 320, 267, 543, 875, 1281, 621, 1860, 938, 4703, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 5331, 707, 12636, 607, 513, 10518, 540, 2679, 7161, 269, 1452, 7161, 267, 1572, 31175, 267, 2149, 519, 11983, 10260, 267, 799, 15920, 6835, 1063, 707, 2634, 543, 519, 1964, 540, 707, 1560, 269, 9737, 1142, 26485, 267, 972, 616, 1507, 267, 15074, 23752, 24302, 687, 1572, 954, 591, 974, 13887, 25923, 269, 1358, 957, 899, 8710, 4726, 1499, 267, 3850, 721, 547, 1847, 1472, 20354, 780, 3086, 267, 1577, 781, 2911, 827, 13285, 269, 715, 12883, 616, 899, 6263, 12904, 602, 4163, 5122, 6786, 2429, 938, 1560, 269, 2290, 1271, 8229, 568, 519, 1414, 1738, 8229, 1107, 519, 4102, 8229, 538, 938, 1560, 256, 898, 5956, 538, 519, 2539, 1394, 267, 8255, 998, 519, 25637, 267, 12765, 4169, 267, 543, 1524, 1312, 7953, 269, 1879, 3388, 1568, 1134, 267, 649, 1810, 1405, 1745, 1022, 9636, 267, 543, 649, 979, 827, 938, 1554, 25747, 269, 1717, 267, 2152, 666, 8451, 950, 1945, 12662, 2604, 593, 519, 1414, 1738, 8229, 780, 11767, 1414, 1738, 320, 269, 2233, 1738, 320, 4523, 950, 1945, 267, 1419, 513, 8697, 610, 4439, 3101, 954, 591, 974, 13887, 1167, 267, 2046, 525, 1996, 519, 1414, 1738, 8229, 269, 901, 2604, 666, 2014, 1928, 267, 32688, 267, 31018, 267, 610, 8467, 2059, 519, 2619, 540, 519, 8229, 1107, 3335, 1152, 7133, 835, 2427, 540, 519, 1560, 269, 2334, 781, 1946, 596, 1522, 1995, 602, 9490, 14815, 10707, 1524, 707, 1850, 2439, 2080, 781, 1141, 1919, 1205, 4277, 267, 2523, 952, 596, 917, 2576, 2713, 609, 2166, 10973, 27470, 269, 7261, 10973, 27470, 568, 513, 4719, 4524, 602, 5540, 519, 9641, 267, 9667, 1062, 267, 543, 824, 8219, 269, 2755, 1394, 1928, 543, 30273, 2042, 616, 3833, 1455, 1851, 1004, 609, 2166, 10973, 27470, 267, 561, 29856, 1167, 1200, 333, 2747, 1107, 519, 2564, 2165, 585, 513, 8697, 610, 4439, 3101, 1167, 1107, 18387, 1405, 1044, 4922, 4080, 538, 713, 1895, 2394, 1631, 780, 1103, 1249, 267, 3173, 5063, 3838, 2984, 827, 1614, 1762, 4079, 609, 2166, 10973, 27470, 945, 2919, 561, 29856, 1167, 1200, 333, 2747, 269, 1280, 891, 2043, 267, 519, 1200, 333, 7007, 1167, 2322, 3063, 2566, 593, 741, 2907, 7925, 9641, 267, 1818, 621, 2352, 585, 873, 547, 13236, 7184, 543, 2312, 856, 22024, 269, 1306, 513, 1267, 267, 789, 941, 811, 11630, 547, 5761, 5563, 780, 4407, 1414, 1738, 320, 3884, 1405, 12600, 547, 1346, 609, 2166, 10973, 27470, 267, 1620, 922, 1761, 1764, 593, 1585, 2694, 540, 938, 1560, 19595, 721, 540, 519, 2956, 540, 2921, 1416, 540, 6000, 269, 1635, 4509, 1434, 14302, 267, 16706, 5781, 267, 17666, 3615, 9108, 267, 543, 8026, 11005, 2553, 267, 649, 666, 2569, 519, 1981, 540, 3384, 1414, 1738, 320, 543, 1832, 938, 4703, 2635, 543, 2178, 780, 3383, 1985, 942, 596, 5873, 2576, 6158, 827, 1414, 1738, 320, 267, 2671, 707, 16012, 1702, 609, 873, 256, 1411, 1175, 1522, 948, 873, 1732, 1174, 741, 1378, 1560, 543, 8300, 873, 547, 1491, 5279, 540, 741, 1072, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 29856, 1167, 1200, 333, 2747, 538, 1614, 2550, 609, 2166, 10973, 27470, 281, 513, 2013, 3126, 454, 22711, 540, 6481, 8865, 18614, 4320, 476, 276, 267, 9137, 1297, 281, 476, 24496, 630, 1001, 272, 994, 2414, 4266, 267, 561, 29856, 1167, 1200, 333, 2747, 814, 711, 1044, 4080, 538, 519, 2796, 540, 2166, 10973, 27470, 1256, 1498, 1394, 1928, 543, 30273, 2042, 616, 1360, 1455, 538, 2550, 609, 2166, 10973, 27470, 563, 2171, 1867, 593, 1614, 2550, 609, 2166, 10973, 27470, 945, 4810, 561, 29856, 1167, 1200, 333, 2747, 538, 519, 1576, 540, 741, 2068, 693, 6502, 476, 866, 547, 476, 2641, 1296, 630, 320, 476, 2420, 4458, 6040, 24272, 22057, 812, 267, 513, 476, 2537, 4458, 6040, 24272, 22057, 812, 267, 543, 513, 476, 2641, 4458, 6040, 24272, 22057, 4807, 1040, 3776, 3791, 3461, 5555, 5747, 1317, 540, 1200, 14016, 730, 17422, 3510, 267, 799, 729, 6766, 676, 519, 561, 29856, 1167, 1200, 333, 2747, 607, 621, 729, 711, 2009, 585, 1200, 547, 1685, 17422, 12775, 2553, 5265, 1317, 540, 519, 1928, 563, 299, 29856, 1167, 1200, 333, 2747, 666, 1291, 547, 513, 30380, 4783, 585, 2550, 609, 2166, 10973, 27470, 607, 621, 949, 3895, 17422, 5563, 269, 901, 1867, 8711, 519, 991, 547, 8495, 2550, 7157, 563, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 857, 1738, 320, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 15302, 1299, 17148, 1315, 4053, 1529, 25063, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 17073, 32163, 725, 543, 17423, 10435, 692, 5331, 596, 2811, 693, 1753, 267, 4730, 707, 5172, 3381, 3014, 267, 589, 24128, 6181, 1742, 269, 22582, 267, 1945, 4422, 4636, 609, 707, 3014, 1107, 6148, 972, 781, 513, 17079, 4929, 707, 1915, 547, 9496, 796, 19055, 2406, 630, 1901, 343, 17691, 1313, 1993, 790, 1070, 610, 5310, 519, 12449, 1376, 9117, 9490, 269, 1411, 1223, 7227, 585, 2395, 2394, 519, 9367, 4368, 713, 3390, 998, 741, 8912, 5650, 630, 27087, 5004, 1040, 1809, 1018, 952, 713, 1966, 568, 1818, 621, 7543, 585, 596, 547, 2972, 519, 3014, 267, 543, 596, 1616, 621, 6378, 1318, 2476, 286, 901, 568, 1141, 834, 28770, 11765, 30332, 257, 2097, 883, 1404, 2439, 2304, 2878, 655, 1120, 1890, 5650, 1262, 568, 513, 1305, 540, 3268, 3144, 950, 513, 2565, 3510, 2115, 7525, 3007, 267, 899, 950, 707, 589, 24128, 6181, 1742, 11080, 1995, 568, 8297, 1441, 1813, 547, 6397, 2152, 269, 1452, 5773, 616, 1114, 689, 2834, 3283, 607, 789, 2154, 16190, 3527, 543, 1419, 4125, 1236, 6235, 930, 3044, 3268, 547, 8207, 519, 14849, 2339, 3533, 269, 1717, 267, 971, 3871, 1590, 581, 4686, 17756, 2864, 982, 1455, 20825, 780, 3086, 1577, 781, 1589, 827, 1776, 9183, 281, 4952, 596, 543, 707, 2828, 616, 11504, 513, 4832, 3786, 269, 3962, 1554, 267, 596, 782, 7119, 538, 1585, 2238, 899, 10977, 267, 19482, 267, 610, 13167, 269, 1677, 2327, 3025, 781, 3106, 1247, 3001, 1063, 891, 2621, 267, 8036, 24784, 13173, 596, 538, 2516, 1759, 593, 707, 6502, 269, 901, 1259, 267, 1022, 1761, 18002, 666, 581, 17411, 16425, 543, 3927, 676, 3743, 4079, 945, 917, 875, 1655, 547, 1416, 585, 596, 780, 1103, 1312, 7653, 267, 2348, 513, 2312, 1544, 543, 6616, 7247, 547, 2490, 547, 1282, 606, 6595, 2337, 2226, 1931, 543, 1265, 2656, 3435, 269, 898, 849, 11151, 11784, 543, 10539, 1851, 1346, 4299, 676, 519, 6727, 1689, 269, 1924, 2436, 621, 781, 21338, 513, 1350, 3558, 344, 3381, 3014, 610, 4180, 1453, 781, 8171, 693, 513, 3786, 267, 1620, 6595, 5773, 568, 1898, 780, 12244, 912, 13914, 540, 1614, 811, 1483, 3734, 3871, 1141, 2348, 606, 6595, 5650, 1522, 581, 2556, 269, 3503, 873, 1524, 2630, 267, 2059, 609, 519, 4128, 1946, 891, 5773, 1131, 948, 4383, 519, 6433, 1732, 780, 272, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 273, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 274, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 8855, 267, 1373, 5423, 585, 6397, 3871, 2636, 721, 547, 2746, 9350, 569, 543, 7561, 950, 5185, 609, 2591, 269, 1635, 1565, 827, 6595, 5773, 1631, 267, 596, 786, 1020, 1271, 1983, 602, 786, 4324, 596, 2429, 707, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 5902, 22017, 2832, 15318, 1863, 454, 1607, 1184, 568, 1045, 12097, 952, 3339, 7827, 5004, 5773, 3112, 581, 4294, 1317, 606, 6595, 3340, 7525, 2962, 269, 769, 30085, 17691, 627, 10464, 540, 519, 2665, 267, 32238, 7902, 1369, 3670, 3275, 1310, 9668, 269, 13571, 1512, 18058, 6770, 6009, 267, 5989, 267, 543, 20848, 547, 27924, 753, 269, 5753, 616, 19882, 676, 2085, 543, 1118, 519, 3460, 547, 1142, 3786, 2534, 896, 519, 15569, 540, 1284, 11232, 24784, 269, 31349, 543, 1435, 326, 3818, 327, 871, 1863, 18572, 540, 1439, 30499, 4874, 2802, 22005, 28340, 910, 1723, 24406, 32644, 3289, 5766, 1564, 4646, 676, 7812, 15178, 30085, 17691, 627, 10464, 23071, 540, 631, 295, 19526, 519, 1071, 1790, 559, 582, 856, 540, 15483, 335, 527, 1287, 1835, 14414, 519, 7077, 538, 513, 12638, 25252, 8336, 267, 621, 814, 1044, 4080, 269, 674, 7037, 543, 17159, 3028, 2306, 585, 606, 11791, 10543, 269, 7313, 328, 267, 8835, 7670, 2255, 476, 273, 1100, 973, 11798, 11360, 620, 322, 27376, 9930, 328, 1019, 2531, 514, 1470, 2097, 530, 1731, 850, 6545, 269, 2052, 10399, 2014, 519, 9667, 1184, 547, 3500, 543, 3976, 2014, 1250, 30085, 17691, 1313, 1993, 790, 594, 723, 942, 9212, 9411, 538, 9185, 602, 594, 991, 547, 5173, 798, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 2078, 1063, 22030, 267, 2022, 24645, 3069, 267, 543, 519, 6214, 540, 7499, 2504, 543, 23425, 269, 1284, 786, 1445, 593, 519, 2833, 540, 5159, 543, 2686, 12696, 689, 19497, 32519, 6082, 267, 3226, 17111, 267, 607, 789, 6330, 741, 2197, 781, 3140, 23543, 1247, 20678, 547, 3715, 513, 3982, 3084, 3961, 1369, 519, 2518, 6575, 6429, 269, 1635, 6313, 519, 960, 540, 5640 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3047, 779, 7852, 540, 10047, 568, 21266, 1540, 476, 2537, 269, 275, 5232, 547, 922, 20771, 5163, 1472, 519, 6129, 630, 3467, 10502, 267, 922, 8095, 7852, 814, 513, 28550, 540, 476, 2537, 269, 275, 5232, 609, 2463, 547, 519, 7852, 540, 922, 10739, 1040, 901, 28550, 267, 799, 3123, 938, 12119, 7648, 267, 729, 2693, 519, 1267, 540, 513, 3032, 659, 569, 338, 6193, 1764, 602, 7018, 827, 476, 275, 269, 276, 5479, 1296, 3516, 1063, 519, 3047, 543, 1776, 1804, 1560, 799, 4440, 849, 8507, 538, 519, 5250, 540, 519, 7599, 269, 6270, 513, 1804, 28550, 568, 2219, 538, 2489, 547, 1267, 689, 513, 2178, 5872, 1063, 3615, 899, 519, 16580, 602, 4646, 519, 7599, 269, 25578, 849, 8095, 267, 543, 741, 8095, 17887, 666, 849, 581, 21266, 1540, 609, 2463, 547, 519, 25057, 540, 741, 10785, 269, 769, 519, 2013, 540, 938, 6129, 267, 799, 30809, 10199, 2899, 1169, 8938, 19317, 2395, 267, 922, 28550, 568, 1152, 476, 278, 269, 1839, 5232, 267, 543, 865, 649, 2760, 1205, 513, 1360, 1434, 1413, 693, 922, 5087, 610, 5045, 18635, 269, 13562, 12002, 18505, 4061, 602, 519, 6129, 2760, 1185, 513, 15779, 7237, 609, 1776, 5182, 630, 520, 2547, 711, 2094, 922, 19236, 1062, 4646, 267, 543, 693, 2547, 711, 609, 513, 6727, 16580, 1916, 763, 28550, 540, 513, 5182, 779, 8095, 568, 15069, 606, 1271, 4183, 267, 855, 6616, 621, 1101, 3340, 6616, 519, 10739, 540, 922, 10785, 269, 2290, 5863, 543, 694, 16781, 760, 527, 748, 1267, 540, 519, 3223, 16980, 5692, 543, 922, 3532, 2702, 547, 1265, 1098, 1746, 10785, 568, 922, 2702, 1107, 676, 1915, 1944, 19236, 1949, 1107, 547, 2232, 519, 3390, 540, 24974, 21266, 1206, 269, 853, 15362, 21266, 1206, 6027, 865, 2484, 538, 608, 26979, 8767, 1949, 4159, 513, 9670, 4763, 267, 689, 1360, 1507, 2418, 899, 938, 6129, 779, 547, 9244, 21266, 1540, 6801, 267, 543, 1256, 930, 968, 4958, 5766, 8565, 892, 6801, 4171, 4287, 540, 10047, 568, 6587, 547, 519, 19236, 20771, 4838, 269, 1452, 6801, 849, 4755, 547, 581, 10169, 1762, 282, 8197, 1034, 540, 519, 6801, 16475, 10785, 538, 519, 3223, 16980, 1982, 723, 711, 7960, 2250, 519, 7250, 8781, 3942, 540, 741, 2729, 269, 20290, 782, 540, 519, 21266, 1540, 6801, 3984, 3905, 808, 1575, 527, 619, 1765, 17839, 1115, 827, 519, 2527, 540, 18347, 630, 7474, 568, 267, 1804, 10785, 264, 855, 602, 10739, 1360, 2673, 547, 519, 5182, 543, 865, 616, 3905, 269, 634, 2647, 2039, 540, 4767, 21266, 1206, 5267, 602, 789, 21256, 711, 689, 513, 3044, 6727, 16580, 267, 855, 2864, 689, 930, 811, 6946, 1184, 602, 3560, 338, 513, 3339, 18347, 689, 922, 10739, 2484, 856, 630, 553, 538, 938, 3859, 1062, 264, 547, 606, 10739, 1360, 2673, 547, 519, 5182, 269, 0, 763, 26467, 1410, 717, 580, 553, 568, 519, 4102, 12377, 538, 1686, 267, 799, 568, 1946, 621, 729, 1572, 717, 580, 553, 269, 898, 568, 849, 1634, 607, 519, 8061, 559, 781, 6426, 1317, 540, 513, 1360, 8966, 2407, 22240, 17855, 540, 519, 26881, 267, 543, 519, 10828, 4478, 922, 5137, 563, 763, 11308, 6227, 616, 16463, 12641, 611, 543, 18674, 609, 4496, 610, 23788, 269, 634, 1433, 781, 7516, 616, 476, 10844, 4699, 1164, 267, 476, 2004, 4699, 2647, 543, 476, 2420, 4699, 5394, 799, 2838, 476, 8182, 1810, 4486, 2960, 585, 922, 1570, 269, 634, 1433, 22179, 3592, 476, 4037, 4846, 269, 898, 5161, 540, 476, 17168, 533, 1105, 906, 267, 540, 799, 5216, 616, 7508, 269, 898, 568, 7164, 945, 6569, 519, 3817, 610, 585, 1018, 3483, 267, 855, 621, 4667, 2693, 602, 789, 8659, 519, 31409, 710, 1395, 2880, 3652, 269, 634, 2278, 540, 519, 8943, 568, 711, 5018, 269, 7439, 568, 1010, 2601, 610, 3483, 1634, 269, 18753, 23607, 5815, 602, 519, 26467, 1410, 729, 2854, 676, 513, 2582, 1268, 267, 945, 13991, 476, 736, 547, 476, 3374, 1296, 540, 1010, 1272, 547, 1711, 713, 960, 269, 634, 26467, 1410, 729, 2854, 538, 519, 31409, 710, 5572, 540, 23093, 331, 1794, 823, 269, 634, 2063, 14261, 540, 519, 8943, 568, 689, 476, 14338, 280, 563, 763, 8943, 2882, 1082, 3909, 5931, 269, 634, 2898, 6196, 11620, 267, 1772, 573, 648, 781, 834, 292, 22029, 257, 540, 1530, 6807, 267, 9478, 4469, 822, 3780, 262, 4165, 19891, 919, 7225, 24191, 2801, 267, 26285, 826, 781, 4425, 1335, 1014, 20048, 1834, 267, 1585, 3594, 267, 2984, 543, 552, 1399, 332, 3098, 267, 17550, 267, 513, 19701, 267, 513, 17048, 609, 28986, 543, 1082, 824, 269, 634, 1257, 568, 2854, 538, 5824, 543, 3568, 1082, 10477, 12383, 563, 288, 7242, 27788, 519, 8943, 269, 4340, 547, 713, 7242, 267, 513, 31494, 729, 26722, 543, 729, 547, 581, 12617, 9800, 269, 634, 31494, 4280, 547, 581, 5950, 689, 1010, 24235, 543, 16219, 538, 2132, 585, 835, 3781, 547, 2328, 513, 1433, 5627, 782, 519, 1702, 540, 8103, 269, 14033, 28813, 267, 646, 2968, 2386, 602, 646, 1223, 711, 2347, 713, 4305, 4805, 865, 646, 1500, 513, 2027, 11755, 269, 3973, 519, 26881, 7902, 543, 519, 31494, 4421, 1010, 9997, 269, 634, 26881, 6192, 519, 12377, 543, 519, 31494, 3773, 519, 26881, 781, 4605, 856, 540, 14696, 585, 1010, 5351, 269, 769, 4255, 547, 30712, 519, 960, 267, 621, 568, 6059, 602, 10063, 1424, 1152, 519, 30951, 267, 1510, 519, 12383, 610, 30996, 880, 906, 267, 1131, 723, 3144, 8938, 1296, 540, 1875, 3613, 641, 1603, 269, 0, 9223, 689, 4147, 476, 1015, 3848, 10803, 454, 299, 1933, 532, 8935, 23336, 301, 583, 8827, 585, 596, 454, 278, 269, 276, 918, 266, 5784, 1923, 476, 4366, 269, 278, 918, 266, 1004, 899, 713, 454, 18704, 901, 11473, 454, 274, 269, 272, 918, 266, 14358, 1923, 476, 274, 269, 279, 918, 266, 700, 10105, 454, 277, 269, 277, 918, 266, 14358, 1923, 476, 3451, 269, 274, 918, 266, 700, 10105, 454, 273, 269, 280, 918, 266, 14358, 1923, 476, 1724, 269, 277, 918, 266, 700, 10105, 454, 278, 269, 273, 918, 266, 14358, 1923, 476, 4391, 269, 275, 918, 266, 700, 10105, 454, 280, 269, 276, 918, 266, 14358, 1923, 476, 1839, 269, 279, 918, 266, 700, 10105, 454, 4968, 266, 14358, 1923, 476, 5392, 269, 275, 918, 266, 700, 10105, 454, 4968, 266, 14358, 1923, 476, 275, 269, 277, 918, 266, 700, 10105, 454, 4097, 269, 273, 918, 266, 14358, 1923, 476, 8099, 269, 274, 918, 266, 700, 10105, 454, 10384, 266, 14358, 1923, 476, 276, 269, 271, 918, 266, 700, 10105, 454, 1839, 269, 275, 918, 266, 14358, 1923, 476, 4391, 269, 279, 918, 266, 700, 10105, 454, 278, 269, 276, 918, 266, 14358, 1923, 476, 3953, 269, 279, 918, 266, 700, 10105, 454, 2412, 269, 274, 918, 266, 14358, 1923, 476, 4375, 269, 273, 918, 266, 700, 10105, 454, 866, 269, 274, 918, 266, 14358, 1923, 476, 8064, 269, 274, 918, 266, 700, 10105, 454, 1220, 266, 14358, 1923, 476, 1220, 266, 700, 10105, 454, 1220, 266, 14358, 1923, 476, 1015, 269, 273, 918, 266, 700, 10105, 454, 30238, 18248, 5403, 454, 2975, 10345, 4604, 476, 1708, 271, 1362, 476, 1015, 21038, 585, 782, 1292, 5396, 269, 6744, 594, 17698, 1362, 476, 1015, 21038, 1519, 782, 1271, 3584, 267, 981, 4806, 543, 16287, 10325, 563, 2975, 10345, 8274, 476, 1708, 271, 1362, 476, 1015, 11400, 786, 581, 4371, 689, 4924, 476, 2767, 547, 3057, 476, 1789, 269, 5700, 827, 519, 594, 17698, 4266, 6656, 267, 16153, 3556, 267, 1267, 1299, 824, 1271, 1344, 563, 16810, 4604, 981, 476, 1708, 271, 568, 2253, 689, 476, 1240, 5988, 269, 24505, 4604, 981, 476, 1708, 271, 4147, 476, 1015, 1299, 476, 1321, 1053, 666, 2638, 1934, 1271, 1344, 1354, 519, 981, 563, 290, 18778, 4604, 476, 1708, 271, 2063, 8792, 981, 4388, 547, 5386, 2389, 2317, 707, 2773, 543, 5818, 707, 6015, 269, 5700, 811, 593, 875, 547, 581, 811, 2500, 538, 519, 981, 563, 297, 7417, 1292, 32414, 476, 1708, 271, 3239, 15494, 3095, 1500, 2661, 269, 5700, 3268, 547, 1118, 3239, 15494, 538, 808, 7417, 1292, 3498, 1106, 543, 917, 827, 3239, 16551, 563, 300, 1695, 541, 30773, 4604, 814, 5950, 15101, 290, 476, 1708, 271, 981, 4626, 564, 762, 585, 1362, 476, 1321, 269, 5700, 9049, 7034, 9391, 292, 981, 4806, 267, 7041, 4388, 543, 824, 1271, 3877, 563, 1432, 649, 2907, 4121, 538, 1362, 26577, 454, 1432, 649, 786, 1451, 454, 19686, 547, 12433, 6399, 676, 1463, 1505, 454, 19686, 547, 5173, 6399, 676, 2110, 24408, 1505, 454, 19686, 547, 5173, 6399, 676, 5153, 5937, 5271, 2747, 1505, 454, 6635, 10379, 1611, 540, 513, 6024, 4908, 3892, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 1463, 1505, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 10374, 12827, 1505, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 5153, 5937, 5271, 2747, 6396, 454, 1432, 568, 2405, 1014, 7790, 1215, 798, 649, 5173, 621, 15017, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 1612, 536, 6062, 269, 8347, 621, 1631, 563, 6781, 2312, 737, 732, 514, 3284, 928, 22027, 29243, 1952, 1612, 536, 6062, 269, 7442, 3534, 6049, 1297, 11578, 737, 732, 514, 563, 295, 584, 2001, 8627, 2806, 513, 777, 29243, 1952, 890, 3435, 533, 12711, 521, 752, 974, 344, 554, 267, 1208, 513, 777, 14150, 5048, 737, 13873, 613, 563, 295, 584, 2001, 8627, 2806, 513, 777, 29243, 1952, 890, 3435, 533, 12711, 521, 752, 974, 344, 554, 267, 1208, 513, 777, 14150, 533, 532, 737, 13873, 613, 454, 303, 8008, 8085, 2752, 8863, 4338, 307, 8991, 15760, 14160, 19798, 2433, 0, 763, 3014, 568, 5129, 782, 936, 519, 2197, 538, 782, 519, 2829, 269, 3127, 729, 519, 1158, 22299, 538, 19735, 585, 1082, 1296, 269, 670, 15736, 814, 1631, 1831, 2442, 538, 1082, 2477, 563, 15675, 8525, 670, 15736, 4828, 670, 15736, 568, 606, 9205, 3014, 5129, 1210, 554, 10541, 16853, 1063, 1079, 6887, 2348, 22221, 5716, 538, 1142, 676, 1739, 3652, 543, 6042, 538, 1931, 547, 3094, 610, 14710, 824, 2319, 563, 16524, 543, 10374, 4828, 593, 670, 15736, 538, 2296, 1284, 723, 3177, 2630, 1585, 2110, 543, 1279, 1557, 593, 19735, 3014, 896, 1585, 1913, 3970, 547, 948, 1053, 540, 5049, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 3092, 563, 32487, 610, 9433, 1603, 723, 1044, 835, 540, 519, 1455, 2994, 4553, 676, 519, 3610, 547, 3986, 1603, 5578, 543, 1702, 540, 2875, 827, 1022, 1888, 269, 2353, 519, 19735, 1557, 3177, 2630, 616, 2854, 538, 2653, 1913, 543, 2241, 5220, 563, 3383, 267, 1053, 666, 2824, 1022, 540, 519, 3594, 2016, 2630, 2687, 547, 741, 991, 543, 10421, 281, 670, 15736, 4828, 476, 272, 1913, 670, 15736, 568, 513, 3084, 3014, 540, 3127, 2705, 5129, 782, 936, 519, 2197, 563, 2005, 568, 513, 3728, 3014, 5129, 1063, 1079, 6887, 1996, 1142, 824, 269, 3962, 2319, 814, 476, 1556, 5716, 269, 2353, 519, 5716, 2832, 547, 5734, 519, 3440, 538, 824, 2319, 2121, 538, 1931, 547, 1205, 811, 6060, 269, 3776, 2197, 814, 1044, 519, 1158, 22299, 540, 19735, 538, 543, 1185, 4465, 476, 277, 4154, 1199, 1023, 538, 519, 21396, 3756, 563, 763, 1974, 1063, 547, 568, 1634, 607, 519, 11344, 5736, 540, 4095, 19735, 269, 634, 13085, 4095, 19735, 5716, 814, 1500, 519, 2197, 865, 10583, 540, 873, 607, 789, 723, 4465, 21396, 3756, 585, 19735, 1082, 2053, 585, 3127, 269, 1358, 6785, 1134, 519, 9059, 540, 4730, 19735, 543, 4465, 519, 2295, 540, 3025, 563, 295, 15736, 4828, 476, 273, 1913, 670, 15736, 568, 513, 1034, 2442, 3014, 543, 1634, 607, 519, 3084, 3014, 540, 3127, 269, 29892, 621, 5781, 2640, 721, 538, 1082, 2081, 563, 347, 29670, 2991, 23247, 269, 1107, 634, 8834, 16189, 549, 9452, 1475, 5472, 1614, 3137, 4766, 4010, 519, 1482, 3069, 2443, 519, 1482, 1599, 689, 562, 547, 554, 267, 936, 519, 3003, 6389, 540, 2009, 2418, 540, 562, 269, 4935, 649, 1223, 4782, 589, 610, 645, 936, 595, 1152, 585, 4128, 824, 982, 519, 3069, 3294, 8198, 347, 295, 15736, 4828, 6201, 1475, 18814, 1076, 729, 856, 585, 519, 1554, 865, 649, 1185, 513, 12990, 8198, 18871, 2177, 307, 16898, 744, 7838, 19766, 3198, 312, 715, 8582, 10573, 289, 22929, 17020, 344, 568, 5129, 609, 513, 3440, 593, 513, 11176, 12334 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 19523, 692, 5035, 8827, 24998, 2187, 825, 1219, 1265, 15171, 6312, 1181, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 15358, 568, 7183, 610, 7003, 25225, 264, 2999, 476, 274, 912, 2018, 2132, 8771, 454, 1038, 513, 274, 815, 910, 338, 903, 27982, 842, 454, 1038, 521, 815, 11713, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 316, 2999, 513, 274, 912, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 1247, 7003, 4433, 264, 3436, 476, 271, 543, 15358, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 316, 3436, 521, 15631, 272, 14158, 7386, 513, 274, 815, 521, 15631, 272, 2639, 7386, 1642, 521, 15631, 272, 2639, 2018, 521, 6910, 25225, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 20285, 1038, 2132, 8771, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 26098, 15171, 6312, 1181, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 0, 5035, 8827, 24998, 2187, 825, 1219, 1265, 11514, 1952, 18193, 301, 13246, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 5903, 27776, 2639, 1038, 8173, 1038, 3803, 815, 11713, 1038, 585, 4994, 267, 1003, 538, 26246, 25225, 2187, 2018, 1775, 815, 2612, 16325, 264, 910, 476, 272, 454, 2018, 15358, 5157, 316, 815, 910, 11274, 25225, 5157, 20285, 1038, 585, 4994, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 27709, 316, 3436, 476, 271, 912, 3546, 3803, 6910, 263, 8161, 1341, 476, 272, 2020, 1038, 2132, 3803, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 26098, 11514, 1952, 18193, 301, 13246, 8443, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 8079, 0, 5035, 8827, 24998, 2187, 825, 1219, 7989, 1393, 4462, 1664, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 759, 815, 1305, 8443, 7481, 1038, 1582, 269, 3559, 704, 3488, 3299, 15358, 267, 759, 994, 1038, 759, 272, 815, 11713, 1038, 585, 561, 538, 759, 912, 2018, 10917, 815, 561, 21858, 263, 3299, 5073, 2018, 10917, 272, 815, 11713, 2018, 585, 1775, 538, 10917, 912, 3546, 952, 1775, 2652, 1412, 12466, 7386, 3136, 454, 3546, 10917, 272, 6910, 17301, 9217, 4917, 2018, 759, 272, 6910, 6025, 11391, 272, 994, 1038, 2132, 759, 272, 692, 825, 1219, 25961, 4311, 267, 1900, 267, 1305, 267, 759, 2187, 1038, 952, 7003, 263, 3553, 264, 2652, 476, 271, 912, 2018, 759, 14491, 263, 21163, 11468, 7481, 2018, 2132, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 3553, 15892, 2018, 10917, 815, 1900, 11468, 2639, 2018, 10917, 6834, 1412, 10086, 1341, 1193, 263, 3553, 5157, 7481, 2018, 1582, 269, 3559, 704, 6025, 11391, 267, 1305, 11468, 328, 316, 1341, 1305, 5157, 1341, 476, 272, 281, 3910, 759, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 269, 11279, 1393, 4462, 1664, 8443, 268, 272, 16427, 272, 267, 274, 8079, 0, 258, 28702, 2006, 3014, 1477, 5814, 4351, 1477, 258, 5814, 532, 513, 4351, 1592, 540, 1913, 21506, 5228, 1913, 17572, 1104, 2262, 8217, 1477, 3698, 3014, 27182, 8029, 825, 13290, 284, 274, 1477, 825, 31665, 25716, 21506, 825, 31665, 318, 24393, 17342, 15947, 825, 31665, 29999, 17342, 15947, 825, 2262, 318, 1260, 921, 5406, 8782, 318, 262, 265, 6352, 27182, 3418, 825, 1820, 27182, 318, 1260, 921, 5406, 3418, 825, 1247, 476, 711, 31665, 543, 13290, 3436, 476, 271, 6769, 1038, 7058, 284, 6358, 3488, 10817, 612, 513, 4484, 610, 513, 2262, 2433, 262, 1040, 21639, 14052, 1038, 1948, 3832, 4242, 952, 7058, 567, 568, 2582, 4484, 476, 543, 568, 513, 9904, 1477, 1038, 952, 7003, 263, 29674, 264, 2525, 272, 610, 7003, 263, 29674, 264, 283, 6352, 27182, 264, 543, 7058, 18994, 10401, 28399, 2018, 1948, 3832, 4242, 952, 2262, 568, 2907, 31665, 1477, 2018, 952, 7058, 538, 31665, 318, 24393, 6769, 3546, 1820, 3488, 4131, 614, 568, 2907, 31665, 2433, 3299, 29674, 3418, 2018, 1948, 3832, 4242, 952, 7058, 568, 1318, 543, 813, 1742, 4484, 547, 31665, 5022, 1477, 2018, 8640, 7058, 711, 538, 2262, 6769, 3546, 1820, 3488, 10817, 612, 539, 4484, 568, 4636, 1412, 3418, 3546, 13290, 284, 339, 1845, 268, 272, 1477, 3546, 31665, 318, 24393, 6910, 263, 29674, 3418, 2018, 1948, 3832, 4242, 952, 7058, 568, 1318, 543, 813, 1742, 4484, 547, 31665, 5022, 1477, 2018, 3116, 6769, 3546, 1820, 2891, 12072, 31665, 568, 2953, 834, 3418, 3546, 31665, 318, 24393, 6910, 263, 29674, 3418, 3546, 2262, 318, 553, 8217, 284, 4289, 27182, 318, 1260, 921, 5406, 3418, 3546, 1948, 17541, 519, 31665, 4484, 538, 1697, 2990, 538, 519, 2262, 1477, 3546, 967, 823, 17342, 328, 585, 1775, 267, 4484, 538, 26246, 27182, 264, 952, 4484, 2652, 7058, 15947, 3546, 585, 4994, 538, 967, 823, 6769, 7386, 2262, 318, 553, 8217, 27709, 24557, 29674, 1477, 3546, 2262, 318, 1260, 921, 5406, 284, 5257, 269, 21860, 27182, 318, 553, 8217, 3418, 3546, 952, 834, 318, 257, 711, 538, 2262, 318, 1260, 921, 5406, 6769, 7386, 31665, 815, 6936, 1477, 1363, 1948, 3832, 4242, 952, 7058, 568, 513, 2262, 476, 543, 568, 513, 9904, 1477, 1038, 8640, 7003, 263, 29674, 264, 2525, 6352, 27182, 264, 543, 7058, 18994, 10401, 28399, 2018, 952, 7058, 538, 31665, 29999, 6769, 3546, 1820, 3488, 2704, 2819, 31665, 519, 1739, 2262, 2433, 3299, 29674, 3418, 2018, 8640, 7058, 256, 284, 2262, 6769, 3546, 1820, 3488, 29674, 539, 2262, 568, 4636, 2433, 20298, 3546, 31665, 29999, 6910, 263, 29674, 3418, 3546, 13290, 268, 284, 272, 1477, 2018, 3116, 6769, 3546, 1820, 3488, 10817, 612, 539, 2262, 568, 2953, 2433, 20298, 3546, 31665, 18989, 1477, 3546, 2262, 318, 1260, 921, 5406, 284, 5320, 1477, 1038, 1948, 604, 1775, 7058, 568, 4376, 3116, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 8253, 513, 4570, 7058, 2433, 1412, 3418, 2018, 1820, 2891, 4958, 787, 7058, 14744, 1038, 1820, 27182, 318, 1260, 921, 5406, 3418, 825, 952, 31665, 6769, 1038, 1820, 3488, 9767, 723, 1500, 513, 2953, 7058, 543, 4465, 519, 3014, 20298, 825, 3116, 6769, 1038, 1820, 3488, 9767, 723, 2196, 856, 540, 13290, 269, 634, 2262, 568, 22207, 5320, 476, 3418, 5897, 3698, 1292, 28399, 825, 2262, 815, 12690, 26716, 4069, 27182, 8217, 1040, 21639, 14052, 825, 1820, 3488, 299, 1115, 1404, 13793, 2006, 20298, 825, 3014, 27182, 3418, 825, 1404, 284, 6358, 3488, 2710, 596, 1616, 547, 3136, 281, 962, 21610, 262, 1040, 21639, 14052, 825, 952, 1404, 2525, 262, 312, 262, 6769, 11434, 3014, 27182, 3418, 1363, 1477, 1363, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 31476, 4449, 24541, 4449, 1477, 4449, 1477, 4449, 1477, 4449, 1477, 4449, 1477, 17264, 1477, 17264, 1477, 672, 0, 337, 25507, 9272, 2891, 10938, 519, 1297, 27363, 328, 284, 271, 454, 6112, 1775, 27045, 337, 912, 825, 795, 284, 271, 454, 825, 1247, 795, 27045, 328, 912, 1038, 1820, 9230, 328, 266, 272, 265, 272, 1070, 754, 6889, 19515, 1038, 795, 284, 329, 266, 273, 454, 825, 1775, 284, 328, 266, 272, 454, 825, 1820, 3890, 0, 328, 284, 271, 454, 329, 284, 276, 454, 6112, 1775, 283, 276, 912, 825, 1820, 2891, 834, 16732, 328, 265, 273, 1070, 754, 6889, 19515, 825, 737, 284, 271, 454, 825, 1247, 737, 283, 263, 329, 265, 273, 9984, 272, 912, 1038, 1820, 17347, 266, 272, 267, 754, 6889, 19515, 1038, 737, 23785, 272, 454, 825, 1820, 4590, 825, 795, 268, 284, 272, 454, 825, 1775, 23785, 272, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 898, 1223, 581, 849, 5258, 883, 476, 1911, 1232, 22329, 543, 476, 1911, 271, 10101, 563, 2791, 4121, 930, 5013, 827, 11304, 267, 865, 1631, 1577, 781, 979, 547, 519, 11013, 269, 634, 11013, 568, 849, 513, 1770, 540, 2527, 269, 898, 568, 2877, 547, 11168, 602, 972, 616, 711, 1152, 835, 2186, 540, 11013, 269, 1548, 1281, 621, 1611, 286, 1280, 1383, 267, 972, 616, 849, 11013, 268, 4403, 269, 769, 713, 2376, 649, 616, 2469, 547, 547, 1445, 1152, 593, 11013, 2173, 817, 563, 763, 11013, 568, 1031, 538, 519, 15875, 543, 2136, 2276, 22232, 1949, 540, 7403, 269, 28900, 267, 713, 1770, 568, 538, 946, 849, 538, 1776, 1949, 269, 634, 3090, 540, 519, 11013, 568, 18470, 610, 968, 563, 763, 3486, 1285, 7546, 16632, 12251, 11013, 814, 1100, 10855, 4214, 269, 898, 568, 3160, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 2290, 1285, 7546, 16632, 12251, 11013, 1223, 581, 5258, 883, 476, 1626, 1285, 7546, 16632, 12251, 13728, 610, 476, 10384, 271, 9274, 563, 763, 1285, 7546, 16632, 12251, 11013, 729, 24451, 538, 519, 1284, 2074, 543, 21474, 2920, 476, 3422, 274, 269, 634, 4214, 540, 713, 1770, 729, 2854, 538, 1101, 3296, 540, 713, 957, 281, 968, 763, 13452, 610, 519, 25451, 4927, 581, 519, 1770, 540, 6482, 540, 3259, 543, 519, 11013, 610, 519, 11304, 4927, 581, 519, 1770, 540, 6482, 540, 2527, 676, 4704, 547, 799, 1022, 6482, 5473, 513, 6482, 540, 3259, 610, 2527, 4927, 581, 1500, 538, 519, 2136, 8003, 282, 543, 268, 630, 320, 264, 519, 13452, 4927, 581, 476, 271, 269, 280, 1691, 275, 25451, 4010, 282, 630, 321, 264, 519, 11013, 4927, 581, 476, 271, 269, 28526, 30020, 4391, 11304, 4010, 3034, 31628, 3749, 851, 568, 2907, 3297, 721, 269, 769, 1985, 851, 649, 786, 2995, 596, 875, 1454, 568, 476, 5325, 269, 5881, 4846, 547, 7273, 269, 3767, 596, 4121, 602, 476, 5325, 269, 5881, 4846, 815, 1535, 7273, 269, 1924, 621, 568, 1164, 942, 547, 917, 519, 2626, 269, 5620, 513, 1413, 912, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6550, 563, 2005, 568, 606, 4977, 1267, 540, 875, 1454, 476, 5325, 269, 5881, 4846, 547, 11013, 269, 1411, 666, 849, 5180, 621, 1055, 269, 2991, 24263, 1055, 707, 1267, 786, 581, 607, 1739, 281, 476, 5325, 269, 5881, 4846, 815, 476, 9818, 269, 4649, 275, 7273, 563, 2791, 917, 476, 5325, 269, 5881, 4846, 568, 875, 1082, 7273, 267, 865, 1577, 779, 1294, 875, 1082, 4846, 476, 5325, 269, 5881, 7273, 281, 476, 5325, 269, 5881, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 11917, 16227, 267, 538, 713, 2013, 596, 949, 849, 5180, 1055, 713, 1267, 269, 2991, 621, 707, 6364, 568, 607, 1739, 281, 476, 5325, 269, 5881, 18470, 815, 476, 271, 269, 3393, 4846, 338, 563, 2171, 616, 849, 2469, 547, 1397, 596, 476, 5325, 269, 5881, 4846, 547, 875, 1082, 6550, 543, 476, 5325, 269, 5881, 11013, 875, 1082, 4846, 4093, 538, 7515, 269, 2913, 779, 1294, 912, 2171, 1616, 547, 2253, 609, 513, 5750, 585, 875, 1454, 568, 476, 5325, 269, 5881, 4846, 3160, 547, 11013, 563, 347, 298, 559, 9999, 630, 11899, 10534, 303, 2432, 630, 331, 321, 10534, 303, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 10245, 19064, 2432, 1475, 298, 559, 9999, 1475, 298, 559, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 2008, 3086, 596, 4121, 875, 1082, 476, 5325, 269, 5881, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 5325, 269, 5881, 11013, 267, 865, 621, 568, 942, 547, 979, 547, 519, 476, 5325, 269, 5881, 4846, 547, 7273, 4542, 563, 2414, 6460, 476, 5325, 269, 5881, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 786, 1397, 596, 513, 4542, 538, 1079, 1114, 8747, 269, 2913, 779, 2253, 609, 519, 1101, 835, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6364, 538, 6550, 454, 763, 1101, 4528, 540, 513, 4542, 2285, 596, 519, 1034, 2953, 6364, 269, 6884, 1256, 519, 10545, 3017, 666, 581, 9645, 269, 1924, 952, 596, 991, 606, 3169, 1267, 910, 1101, 4542, 786, 581, 519, 1655, 3070, 547, 6460, 875, 1082, 6550, 616, 6697, 547, 476, 5325, 269, 5881, 11304, 563, 3383, 1847, 593, 547, 519, 1776, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 5325, 269, 5881, 11304, 538, 6550, 563, 763, 1776, 4528, 540, 513, 4542, 568, 1524, 2630, 267, 1413, 912, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 454, 2026, 596, 666, 1294, 267, 519, 2034, 4542, 568, 12863, 269, 898, 1223, 581, 1732, 3903, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 5325, 269, 5881, 11304, 547, 6550, 538, 3728, 1259, 267, 585, 3236, 267, 1282, 10918, 269, 1411, 1152, 723, 547, 3314, 602, 3803, 1267, 786, 581, 711, 865, 3169, 563, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 616, 2469, 547, 1118, 513, 7503, 540, 476, 5325, 269, 5881, 4846, 547, 7273, 649, 1616, 547, 1397, 596, 4443, 1259, 547, 917, 476, 5325, 269, 5881, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 917, 1018, 568, 476, 5325, 269, 5881, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 5325, 269, 5881, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 15612, 1807, 568, 606, 3498, 269, 20593, 614, 568, 1759, 593, 3476, 4528, 540, 513, 4542, 799, 649, 4951, 596, 1657, 269, 8729, 547, 476, 5325, 269, 5881, 4846, 11013, 9498, 596, 666, 3362, 6460, 476, 5325, 269, 5881, 4846, 547, 7273, 269, 3807, 4283, 1297, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 20412, 622, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 8755, 563, 3383, 1577, 779, 2119, 547, 5173, 476, 5325, 269, 5881, 4846, 883, 7273, 1210, 476, 5325, 269, 5881, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 5325, 269, 5881, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 6364, 281, 476, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6550, 563, 2026, 596, 666, 1294, 267, 713, 476, 5325, 269, 5881, 4846, 5288, 7273, 9498, 568, 865, 3274, 547, 946, 563, 3086, 649, 666, 1847, 593, 547, 938, 8783, 1888, 910, 875, 547, 6460, 476, 5325, 269, 5881, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 616, 2469, 547, 2253, 476, 5325, 269, 5881, 11304, 11224, 547, 875, 1082, 6550, 7503, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 4977, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 519, 1267, 538, 6550, 454, 3383, 1018, 723, 596, 798, 547, 1451, 875, 1082, 6550, 3160, 547, 476, 5325, 269, 5881, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 1924, 476, 5325, 269, 5881, 11304, 568, 3160, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 563, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 3160, 476, 273, 269, 736, 269, 1924, 476, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 4649, 275, 271, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 5325, 269, 5881, 4846, 4154, 538, 6550, 269, 1924, 476, 5325, 269, 5881, 4846, 3160, 547, 875, 1082, 7273, 286, 1656, 1586, 910, 9062, 476, 5325, 269, 5881, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 1924, 6697, 540, 476, 5325, 269, 5881, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 4010, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 563, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 3371, 568, 519, 6364, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 5325, 269, 5881, 11304, 476, 9818, 269, 4649, 275, 6550, 563, 3086, 649, 666, 1847, 593, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 519, 1267, 538, 6550, 454, 3383, 476, 5325, 269, 5881, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 723, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 5325, 269, 5881, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 269, 1924, 476, 5325, 269, 5881, 11304, 568, 3160, 476, 273, 269, 273, 6550, 563, 13014, 1776, 9819, 609, 946, 540, 713, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 5325, 269, 5881, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 6460, 910, 476, 5325, 269, 5881, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 6550, 540, 22229, 269, 1924, 476, 5325, 269, 5881, 4846, 547, 11013, 2527, 568, 4010, 476, 9818, 269, 4649, 275, 563, 2252, 596, 4121, 875, 1454, 568, 476, 5325, 269, 5881, 11304, 2597, 538, 6550, 543, 616, 2111, 547, 6460, 621, 609, 946, 540, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 891, 4093, 538, 12125, 563, 2171, 616, 3222, 602, 4093, 4843, 538, 12125, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 7515, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3362, 5635, 476, 5325, 269, 5881, 4846, 6697, 547, 7273, 2164, 563, 24375, 609, 513, 476, 5325, 269, 5881, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1413, 476, 5325, 269, 5881, 4846, 3160, 11013, 5750, 585, 519, 2034, 4528, 540, 513, 4542, 912, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 5325, 269, 5881, 11304, 11224, 6550, 267, 519, 2164, 616, 519, 1482, 269, 634, 8273, 2179, 519, 811, 9645, 3017, 269, 5901, 621, 538, 2247, 950, 596, 1616, 547, 798, 8273, 1297, 982, 476, 5325, 269, 5881, 13532, 6550, 7503, 563, 3086, 596, 917, 875, 547, 6460, 476, 5325, 269, 5881, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 3657, 596, 8049, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 5325, 269, 5881, 11304, 547, 6550, 543, 13728, 9819, 888, 2171, 1616, 547, 1397, 596, 875, 596, 666, 5173, 621, 2370, 676, 2370, 269, 2913, 779, 2253, 269, 1215, 1454, 568, 476, 5325, 269, 5881, 4846, 538, 7273, 543, 12063, 888, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 5325, 269, 5881, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 2290, 11304, 568, 476, 273, 269, 14225, 25118, 7830, 6550, 563, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 563, 2414, 917, 875, 1454, 476, 5325, 269, 5881, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 3947, 476, 27628, 31256, 4572, 13728, 563, 3383, 3803, 6364, 568, 4010, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 898, 568, 849, 2009, 547, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 707, 1267, 568, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 563, 2026, 596, 666, 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 ]
[ 6769, 258, 825, 476, 272, 264, 3403, 2985, 1297, 3884, 1405, 513, 630, 12061, 24308, 264, 7857, 1477, 258, 610, 476, 273, 264, 3403, 2985, 1297, 568, 476, 271, 1477, 258, 610, 476, 274, 264, 3403, 2985, 1297, 568, 3152, 982, 2698, 1297, 540, 3817, 1477, 258, 610, 476, 275, 264, 3403, 2985, 1297, 585, 1439, 568, 1447, 982, 2985, 1297, 585, 4098, 1477, 6112, 711, 2985, 17484, 18994, 323, 13424, 3890, 610, 2985, 17484, 2525, 257, 271, 257, 1422, 1477, 8587, 610, 703, 263, 2457, 17484, 264, 3436, 2698, 303, 1137, 610, 703, 263, 2457, 17484, 264, 2999, 703, 263, 2457, 9359, 8029, 825, 20444, 326, 7901, 2891, 8923, 1683, 513, 4570, 2985, 1297, 1701, 267, 834, 8005, 3591, 10590, 3418, 825, 2985, 17484, 815, 4283, 7901, 2891, 11767, 519, 1297, 540, 519, 2063, 2985, 547, 946, 24333, 834, 8489, 547, 1439, 8119, 3418, 825, 952, 2985, 17484, 2525, 14085, 281, 1948, 14827, 593, 834, 290, 30327, 29177, 1038, 14827, 31476, 258, 1577, 519, 3593, 3442, 606, 3977, 3758, 2012, 1477, 16059, 17572, 11243, 815, 6119, 1511, 7901, 2891, 2580, 834, 24591, 519, 16013, 4364, 7300, 607, 29389, 267, 834, 29688, 23486, 14744, 6112, 3403, 17572, 11243, 2652, 3977, 17572, 11243, 281, 1948, 3112, 946, 1482, 3758, 607, 3403, 1477, 825, 20444, 326, 7901, 2891, 4692, 2254, 7670, 1679, 3312, 3758, 256, 2580, 834, 8923, 3442, 1776, 3758, 29389, 3418, 825, 3977, 17572, 11243, 815, 6119, 1511, 7901, 2891, 2580, 834, 24591, 519, 16013, 4364, 7300, 607, 29389, 267, 834, 29688, 23486, 14744, 604, 3977, 17572, 11243, 2652, 7183, 6769, 825, 14827, 3890, 1948, 14827, 593, 834, 290, 30327, 257, 5897, 258, 1224, 538, 3758, 267, 2328, 1007, 3758, 609, 16013, 4364, 2985, 2039, 543, 4688, 519, 1007, 3758, 1477, 16059, 14457, 815, 21584, 17572, 310, 31581, 14052, 258, 10208, 476, 272, 689, 13859, 1376, 2985, 1297, 547, 1205, 2953, 4994, 1871, 1477, 1721, 2985, 19617, 538, 2039, 17301, 263, 2457, 9359, 9984, 272, 267, 703, 263, 2457, 17484, 264, 8029, 825, 2985, 815, 3403, 17572, 10947, 17273, 263, 2457, 19617, 3418, 825, 3977, 14457, 14491, 17273, 263, 2457, 3418, 16059, 17572, 815, 3758, 263, 16059, 17572, 11243, 267, 834, 342, 321, 14744, 16059, 14457, 22182, 263, 16059, 17572, 3418, 16059, 17572, 25379, 14052, 0, 258, 476, 278, 269, 272, 2689, 5751, 24653, 18257, 1477, 1103, 1931, 547, 2196, 7157, 267, 713, 7097, 1101, 2115, 547, 1477, 2041, 5116, 538, 519, 3848, 476, 278, 834, 20797, 6119, 257, 17835, 23228, 263, 17572, 10092, 616, 4988, 538, 3296, 476, 278, 269, 273, 3418, 18257, 5897, 258, 3367, 513, 1257, 3758, 676, 8520, 532, 936, 1367, 3515, 1477, 3240, 22437, 655, 815, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 14744, 1721, 1899, 538, 1250, 22437, 655, 18667, 6050, 28399, 825, 1948, 2422, 513, 26893, 1310, 519, 1820, 3948, 282, 1477, 825, 1948, 3758, 2907, 3568, 1007, 1467, 3197, 1477, 825, 1820, 1899, 267, 1477, 3240, 22437, 655, 25379, 31476, 258, 7179, 930, 10145, 3515, 547, 5094, 519, 1079, 1806, 1477, 2745, 27719, 333, 14826, 257, 5897, 258, 2422, 834, 5976, 257, 547, 8850, 2673, 513, 3758, 950, 8737, 1477, 5976, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 8442, 607, 1250, 22437, 655, 6769, 825, 585, 1899, 538, 1250, 22437, 655, 18667, 6050, 28399, 1038, 1820, 1899, 267, 5897, 258, 3503, 519, 9115, 540, 835, 3758, 883, 1776, 267, 1899, 8386, 11060, 1477, 17763, 655, 1103, 815, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 14744, 17763, 655, 11073, 815, 1930, 2891, 16059, 17902, 2580, 834, 342, 14744, 1721, 1899, 538, 6648, 1103, 18667, 6050, 28399, 825, 6648, 11073, 22182, 263, 1467, 3418, 17763, 655, 1103, 25379, 14052, 17763, 655, 11073, 25379, 31476, 258, 19244, 519, 3105, 3635, 1210, 519, 834, 5976, 257, 20438, 1477, 258, 630, 1607, 786, 7670, 1679, 519, 3105, 3977, 3758, 269, 3418, 5976, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 8442, 607, 6648, 1103, 267, 1930, 2891, 16059, 17902, 2580, 834, 342, 8442, 607, 6648, 11073, 6769, 825, 585, 1899, 538, 6648, 1103, 18667, 6050, 28399, 1038, 6648, 11073, 22182, 263, 1467, 3418, 5897, 258, 2561, 754, 513, 1007, 1899, 547, 519, 1439, 540, 834, 16059, 17902, 29177, 258, 630, 23921, 547, 1376, 593, 513, 1007, 1899, 267, 865, 1039, 27719, 333, 257, 547, 519, 4098, 269, 3418, 5976, 1930, 2891, 16059, 17902, 2580, 834, 320, 8442, 607, 6648, 7343, 754, 6769, 825, 6648, 7343, 754, 22182, 19629, 333, 13295, 7475, 519, 688, 30884, 1701, 10142, 0, 258, 476, 278, 269, 274, 1164, 5334, 13990, 18258, 1477, 258, 3367, 538, 11483, 309, 1239, 5627, 4408, 543, 8464, 282, 4159, 513, 1164, 6060, 1592, 5897, 5814, 26417, 1477, 5814, 15259, 1477, 3240, 26073, 815, 834, 290, 281, 270, 18600, 5124, 14727, 6847, 2326, 270, 6637, 476, 278, 18025, 15462, 6119, 257, 5897, 14683, 306, 13990, 291, 1112, 815, 15079, 1477, 5976, 1930, 263, 657, 29624, 12459, 7765, 30044, 26073, 267, 834, 338, 13990, 27406, 19823, 834, 337, 321, 8442, 607, 1250, 17572, 6769, 825, 1250, 17572, 5649, 518, 815, 26417, 18667, 518, 30044, 17572, 3418, 825, 585, 2012, 267, 6060, 538, 1250, 17572, 5649, 518, 281, 1948, 1205, 1142, 2012, 270, 16557, 6292, 1477, 1038, 6060, 815, 703, 263, 16557, 264, 1948, 6460, 5569, 6060, 547, 8870, 1477, 1038, 952, 2012, 538, 1164, 306, 13990, 291, 1112, 281, 1948, 2907, 1185, 606, 7127, 585, 602, 2012, 1477, 2018, 952, 6060, 3436, 1164, 306, 13990, 291, 1112, 314, 4067, 13912, 1948, 1007, 6060, 568, 2362, 1477, 3546, 1164, 306, 13990, 291, 1112, 314, 4067, 316, 815, 6060, 1477, 1038, 3116, 281, 1948, 10093, 1405, 2938, 713, 2012, 2943, 282, 1039, 621, 547, 8675, 1477, 2018, 1164, 306, 13990, 291, 1112, 314, 4067, 316, 815, 6060, 1477, 17264, 1477, 1721, 2012, 538, 15044, 263, 14683, 306, 13990, 291, 1112, 8029, 825, 1820, 2012, 267, 1164, 306, 13990, 291, 1112, 314, 4067, 15947 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1419, 4611, 538, 513, 2530, 540, 1367, 2924, 269, 630, 14983, 264, 2372, 5875, 710, 10473, 941, 1419, 5667, 534, 3202, 543, 1875, 268, 3122, 850, 267, 4611, 538, 513, 3262, 540, 2068, 676, 16550, 1346, 945, 941, 7210, 547, 581, 538, 3346, 609, 1346, 945, 941, 2635, 269, 630, 5611, 264, 10705, 519, 9072, 540, 971, 27170, 1149, 941, 519, 2539, 5049, 267, 3226, 11082, 269, 630, 14681, 994, 289, 269, 2372, 5875, 710, 543, 25799, 7126, 454, 13750, 543, 5313, 6608, 616, 711, 2016, 606, 6207, 1318, 547, 18992, 547, 519, 946, 540, 741, 31741, 7060, 267, 607, 972, 616, 7687, 538, 1747, 269, 630, 13923, 264, 6270, 7687, 2154, 602, 519, 31741, 1590, 581, 834, 1492, 2547, 25516, 1797, 2556, 547, 2061, 519, 3262, 540, 513, 5906, 21380, 610, 11763, 2068, 1701, 630, 14631, 264, 901, 834, 548, 770, 25516, 1797, 1935, 257, 568, 22394, 543, 9247, 12651, 519, 3390, 540, 1018, 824, 2409, 1522, 2291, 547, 2270, 519, 16143, 3644, 267, 11735, 689, 27170, 1456, 2043, 16143, 540, 24954, 4598, 269, 630, 15150, 264, 1403, 519, 1367, 568, 711, 27170, 1441, 543, 26055, 513, 22125, 1016, 3118, 267, 971, 607, 538, 1715, 3840, 4975, 607, 3220, 269, 30621, 1975, 27247, 1705, 267, 519, 7872, 14340, 602, 519, 3644, 786, 3262, 3842, 513, 11522, 267, 14229, 324, 2763, 267, 610, 1086, 17508, 998, 13680, 3346, 269, 630, 14028, 264, 1548, 1223, 1267, 568, 519, 4098, 540, 513, 1804, 15435, 538, 519, 2136, 2276, 267, 835, 602, 1223, 1267, 538, 711, 1175, 519, 2530, 540, 3540, 23118, 540, 835, 267, 1079, 610, 4557, 2043, 267, 855, 519, 2347, 31741, 540, 10034, 610, 1256, 2829, 4470, 593, 519, 4336, 540, 519, 3262, 269, 630, 14444, 994, 18197, 2276, 3656, 1686, 2488, 15792, 2963, 10834, 602, 1857, 3106, 568, 513, 10862, 267, 1256, 952, 930, 2043, 1522, 6336, 930, 540, 741, 1367, 2924, 269, 630, 14991, 264, 634, 10966, 7040, 12199, 538, 15243, 5459, 602, 281, 834, 314, 339, 316, 515, 15698, 17956, 676, 519, 9139, 540, 519, 2136, 2276, 547, 1169, 1268, 1369, 922, 16278, 1281, 711, 1104, 606, 6207, 1318, 538, 1142, 1268, 547, 581, 267, 693, 782, 2053, 543, 538, 782, 6381, 267, 28025, 15685, 689, 27047, 842, 1701, 630, 15647, 264, 634, 15243, 5459, 7040, 3773, 602, 834, 314, 339, 316, 1877, 616, 32032, 27047, 6493, 547, 799, 1169, 1268, 568, 8209, 1641, 585, 519, 1455, 1434, 1701, 630, 14689, 264, 8616, 538, 5239, 476, 1001, 275, 267, 29237, 918, 659, 328, 670, 1157, 2135, 11130, 585, 1200, 5191, 950, 1352, 729, 1641, 547, 513, 16601, 31741, 538, 1715, 14948, 267, 5103, 27109, 1100, 2589, 540, 519, 2068, 269, 630, 8182, 264, 6145, 670, 1157, 2135, 267, 519, 27674, 858, 538, 1744, 4883, 1157, 1185, 14612, 13383, 547, 513, 2068, 8573, 5200, 2197, 267, 1141, 31847, 729, 19856, 656, 269, 630, 14065, 264, 6145, 670, 1157, 2135, 267, 1744, 4883, 1157, 17820, 1100, 2589, 540, 519, 2068, 950, 1352, 729, 7142, 883, 513, 16601, 31741, 269, 630, 14341, 264, 8616, 519, 5480, 538, 1744, 4883, 1157, 909, 18988, 519, 16601, 31741, 6466, 670, 1157, 2135, 729, 17212, 1386, 540, 1200, 16601, 31741, 689, 519, 19051, 9794, 945, 16363, 519, 31741, 547, 581, 11389, 32208, 269, 630, 14321, 264, 1306, 23576, 676, 15243, 5459, 267, 1744, 4883, 1157, 543, 1290, 18450, 267, 2136, 2276, 262, 10470, 723, 13840, 1044, 20916, 547, 3870, 519, 2530, 540, 1978, 1367, 2924, 538, 519, 12687, 540, 19856, 656, 27676, 11763, 3676, 269, 630, 13932, 264, 1306, 1279, 607, 31741, 13080, 616, 3261, 730, 1759, 593, 27496, 540, 519, 2068, 267, 1287, 971, 27170, 1149, 616, 519, 2547, 25516, 1797, 540, 7303, 519, 3262, 540, 2068, 269, 13679, 1773, 5593, 858, 1744, 4883, 1157, 729, 1641, 547, 513, 27552, 6377, 31741, 2094, 602, 729, 519, 1634, 29164, 1974, 540, 519, 31847, 3644, 693, 519, 942, 269, 630, 14917, 264, 6684, 267, 29237, 670, 1157, 2135, 729, 7620, 16271, 547, 513, 8938, 14633, 1554, 31741, 1317, 540, 519, 1634, 29164, 1974, 585, 519, 24954, 3644, 269, 630, 15757, 264, 634, 1249, 3788, 602, 28105, 19057, 540, 519, 24954, 3644, 723, 1044, 4857, 998, 3621, 2090, 267, 865, 519, 6881, 540, 606, 1367, 21945, 689, 606, 24954, 3613, 4459, 523, 3148, 1863, 540, 2589, 568, 711, 2614, 2601, 547, 2322, 519, 1857, 1072, 693, 1981, 269, 630, 12739, 264, 634, 6286, 540, 29237, 670, 1157, 2135, 781, 2487, 11802, 936, 31741, 949, 581, 602, 1533, 6608, 27464, 2476, 689, 519, 946, 540, 31741, 267, 1256, 2016, 3140, 18454, 269, 630, 15433, 994, 290, 269, 2136, 853, 730, 9701, 7427, 3624, 781, 7844, 540, 2372, 5875, 710, 454, 19770, 267, 899, 519, 2136, 2276, 267, 814, 513, 3638, 1686, 540, 2500, 3096, 540, 31741, 547, 2061, 519, 3262, 540, 2068, 267, 543, 538, 930, 2665, 267, 547, 30817, 2068, 269, 630, 10204, 264, 769, 1931, 547, 3247, 513, 3810, 11763, 2068, 899, 24954, 267, 519, 2136, 2276, 1058, 556, 3200, 547, 4505, 2013, 1876, 543, 3140, 1806, 540, 875, 824, 2477, 267, 5185, 609, 2147, 8623, 12515, 267, 941, 2111, 547, 3035, 519, 3791, 267, 543, 24903, 1034, 1271, 3804, 540, 519, 31741, 1876, 799, 568, 547, 834, 601, 574, 3729, 519, 6152, 257, 543, 30817, 519, 2068, 593, 513, 2199, 4336, 269, 630, 14378, 994, 4002, 2904, 476, 866, 267, 476, 1220, 275, 267, 519, 14959, 10294, 602, 16568, 814, 1044, 16701, 5344, 538, 3624, 269, 630, 15094, 264, 16568, 1185, 4505, 1044, 15810, 547, 581, 519, 1101, 12176, 540, 519, 8938, 23867, 2540, 547, 1267, 538, 606, 12473, 543, 29252, 1857, 1072, 9568, 269, 630, 15876, 264, 8550, 1354, 1185, 519, 2413, 1158, 2938, 971, 606, 15435, 269, 630, 14690, 264, 3624, 267, 9583, 16074, 267, 3710, 10506, 4481, 585, 27170, 1441, 2043, 543, 8704, 8611, 2638, 4812, 10473, 693, 1169, 1857, 3560, 1062, 538, 3210, 547, 519, 6433, 269, 630, 11260, 264, 10738, 3275, 267, 3624, 729, 2111, 547, 30817, 16568, 269, 630, 12293, 994, 2467, 616, 10486, 1063, 519, 27152, 6392, 12044, 31741, 6042, 538, 3624, 543, 538, 519, 2136, 2276, 269, 630, 10082, 264, 634, 1101, 9137, 540, 519, 3624, 13571, 1512, 2657, 4521, 2829, 519, 3483, 540, 31741, 3800, 568, 547, 834, 1729, 2149, 1480, 1072, 1701, 630, 9965, 264, 6684, 267, 519, 2136, 2276, 31741, 4031, 3343, 547, 834, 2181, 1203, 519, 4367, 267, 6771, 267, 610, 3262, 540, 3868, 762, 3676, 1701, 630, 9692, 264, 7073, 2257, 1100, 3476, 2306, 9591, 17062, 31741, 13080, 540, 4505, 5553, 606, 4781, 269, 630, 5197, 264, 4634, 835, 1554, 540, 11991, 1480, 30693, 568, 513, 18670, 540, 606, 1367, 781, 1318, 547, 7834, 543, 1223, 581, 16363, 796, 6247, 6627, 269, 630, 8687, 264, 1879, 28720, 31741, 267, 519, 1533, 610, 5313, 2229, 1590, 581, 2386, 547, 2308, 519, 2547, 25516, 1797, 602, 616, 1312, 10257, 543, 2556, 547, 2327, 519, 1857, 781, 1072, 543, 3106, 269, 630, 9264, 264, 4653, 267, 31741, 3259, 568, 18170, 676, 5013, 543, 23963, 8810, 1239, 5833, 998, 10480, 518, 958, 14102, 3906, 971, 607, 519, 15509, 610, 14959, 269, 630, 8146, 264, 634, 3390, 568, 711, 538, 27170, 1456, 1004, 267, 855, 538, 4259, 11389, 32208, 31741, 5712, 269, 630, 7277, 994, 15152, 519, 4457, 16568, 31741, 957, 267, 2043, 7283, 693, 31741, 6703, 543, 941, 8362, 16913, 585, 2947, 547, 5722, 2395, 267, 519, 3259, 540, 29164, 585, 1351, 7431, 8686, 6400, 269, 630, 6977, 264, 6684, 538, 519, 2136, 2276, 267, 31741, 13080, 585, 1346, 945, 12446, 689, 3644, 8573, 5200, 2127, 1590, 581, 8938, 14633, 2395, 267, 519, 1634, 29164, 1974, 585, 519, 24954, 3644, 269, 630, 5908, 264, 2372, 5875, 1456, 606, 1367, 693, 1164, 1981, 585, 606, 24954, 3968, 585, 8938, 14633, 2395, 5713, 513, 12242, 3483, 281, 585, 519, 1367, 267, 945, 11392, 3232, 1072, 1416, 6268, 799, 666, 2149, 741, 1378, 1072, 543, 2034, 569, 267, 607, 585, 519, 2489, 1857, 267, 945, 949, 581, 10710, 689, 4598, 547, 519, 3644, 269, 630, 6942, 264, 1403, 519, 1367, 568, 8659, 585, 1022, 1974, 1657, 8938, 14633, 2395, 1510, 6029, 1022, 2589, 267, 8066, 519, 1367, 568, 1100, 3476, 31741, 855, 26646, 269, 630, 6642, 264, 634, 3017, 1063, 31741, 543, 26646, 568, 24903, 2436, 610, 711, 519, 834, 548, 770, 25516, 1935, 257, 568, 8246, 1282, 519, 31741, 269, 630, 6245, 264, 19928, 5024, 2188, 602, 1058, 581, 8246, 950, 14045, 2436, 31741, 568, 2556, 1331, 6169, 676, 3621, 1239, 543, 5796, 689, 4966, 538, 519, 2361, 269, 630, 5002, 264, 1306, 1279, 607, 15424, 3800, 616, 7873, 19861, 676, 3621, 543, 2564, 4966, 267, 543, 607, 1279, 607, 519, 2797, 543, 3621, 2146, 960, 538, 10103, 547, 3970, 519, 4110, 540, 5191, 3144, 2476, 689, 16143, 2043, 1247, 21924, 519, 4324, 543, 3106, 547, 519, 1857, 693, 1804, 267, 1287, 519, 31741, 3800, 1831, 606, 17170, 1857, 4199, 269, 630, 4489, 264, 3624, 814, 8810, 713, 998, 1239, 6029, 513, 2185, 18881, 16701, 1709, 540, 513, 5732, 11451, 14042, 15435, 269, 630, 4572, 264, 3624, 267, 799, 814, 1044, 22309, 585, 9157, 3527, 1996, 1367, 23118, 1369, 922, 10665, 267, 8246, 31741, 13080, 1759, 2390, 519, 29164, 1974, 540, 519, 16568, 3644, 267, 538, 1840, 547, 4259, 909, 8611, 2638, 9557, 693, 7580, 4025, 543, 7366, 540, 2564, 4559, 547, 1521, 1346, 945, 941, 7210, 543, 2061, 873, 689, 10825, 519, 4576, 269, 630, 4350, 264, 1403, 3624, 1185, 711, 8246, 891, 2409, 267, 610, 952, 4457, 10470, 1185, 16363, 891, 2409, 1932, 11389, 32208, 267, 899, 519, 19051, 5480, 5063, 4371, 538, 670, 1157, 2135, 781, 2013, 267, 1287, 621, 568, 8969, 995, 602, 513, 2197, 609, 513, 2551, 540, 476, 272, 269, 274, 5479, 1004, 1223, 723, 15286, 16568, 689, 32117, 856, 540, 1852, 269, 630, 3707, 994, 763, 2136, 2276, 1058, 581, 811, 8348, 547, 1491, 2147, 3527, 607, 3624, 781, 1282, 519, 16568, 12176, 267, 2016, 602, 811, 24954, 2665, 1223, 8451, 538, 519, 2136, 2276, 952, 971, 2962, 568, 711, 3144, 269, 630, 4198, 264, 901, 568, 711, 547, 2161, 602, 519, 2136, 2276, 1058, 1246, 3624, 781, 1169, 4640, 267, 607, 3624, 781, 31741, 2409, 1223, 723, 1044, 20979, 971, 602, 519, 1297, 540, 2043, 27170, 1441, 1223, 723, 1044, 4389, 676, 24239, 3670, 2600, 269, 630, 3422, 264, 769, 1931, 547, 2569, 519, 1297, 540, 1346, 27170, 1441, 267, 4457, 8128, 1058, 723, 5059, 593, 2043, 945, 1185, 1044, 538, 3346, 609, 8362, 2192, 16568, 2550, 3079, 540, 9003, 2519, 741, 3646, 593, 519, 2489, 1857, 267, 799, 27648, 5176, 476, 272, 269, 274, 5479, 2043, 269, 630, 3192, 994, 4263, 519, 856, 3553, 540, 16568, 267, 3624, 729, 5185, 609, 513, 2068, 602, 729, 7164, 543, 922, 27496, 711, 6956, 538, 519, 3621, 2146, 267, 1454, 899, 519, 2136, 2276, 5185, 609, 519, 476, 1001, 275, 24954, 12176, 269, 630, 2735, 264, 3624, 3284, 11276, 6444, 602, 4352, 2564, 1344, 729, 17077, 543, 711, 4922, 6956, 267, 1018, 729, 1634, 729, 519, 3432, 693, 799, 519, 3644, 3262, 543, 922, 3170, 1275, 267, 4061, 3624, 7157, 8359, 547, 2746, 5612, 267, 2921, 3800, 547, 2061, 16568, 262, 3262, 543, 547, 2270, 519, 3644, 269, 630, 1960, 264, 3624, 8659, 519, 16568, 3644, 543, 5732, 10710, 6634, 540, 2729, 269, 630, 1220, 264, 634, 2136, 2276, 1058, 1451, 689, 3624, 602, 950, 6849, 2205, 12040, 267, 3362, 10141, 14456, 2068, 8623, 12515, 267, 513, 2197, 1590, 5612, 1445, 3646, 593, 5627, 519, 2068, 543, 7303, 2417, 3262, 269, 630, 1001, 994, 763, 2487, 3800, 3144, 538, 13280, 267, 513, 2197, 609, 513, 2551, 540, 8938, 14633, 2929, 1004, 2417, 12013, 1518, 519, 3407, 1761, 540, 2500, 13345, 540, 31741, 4031, 269, 630, 1708, 264, 2201, 5239, 476, 736, 267, 476, 1001, 275, 267, 14959, 10294, 13280, 1863, 540, 24954, 6771, 1310, 5176, 2185, 3275, 32626, 519, 3644, 269, 630, 10711, 264, 634, 642, 15501, 729, 11074, 1813, 547, 519, 7525, 4070, 540, 10072, 530, 1841, 267, 2147, 547, 3624, 781, 7525, 4070, 540, 16568, 1808, 31741, 10506, 543, 5464, 16143, 7783, 2043, 585, 519, 8938, 14633, 1554, 24954, 29164, 1974, 269, 630, 14225, 264, 14959, 17019, 519, 4457, 31741, 834, 24030, 569, 21022, 3255, 585, 2417, 6771, 257, 799, 12913, 519, 3483, 540, 31741, 269, 630, 13078, 264, 634, 2136, 2276, 1058, 1451, 689, 2477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14611, 9137, 12474, 454, 763, 6859, 540, 713, 1353, 941, 547, 3761, 5832, 2359, 267, 2042, 543, 3255, 540, 3761, 5832, 5388, 267, 3761, 5832, 1062, 540, 2146, 543, 13724, 1702, 519, 2804, 3761, 5832, 269, 634, 2164, 540, 713, 1353, 4951, 602, 634, 1034, 6705, 798, 533, 23098, 8105, 28111, 609, 3395, 5388, 543, 3662, 9393, 787, 269, 634, 3395, 10448, 585, 3548, 543, 9042, 563, 763, 2042, 543, 3255, 568, 713, 1858, 711, 814, 12555, 585, 946, 547, 3395, 5388, 543, 20548, 12198, 593, 811, 585, 13870, 267, 4393, 543, 9042, 269, 16748, 540, 2504, 814, 606, 7199, 269, 634, 6705, 562, 525, 7220, 585, 1966, 9010, 593, 13851, 267, 4859, 2472, 543, 6725, 1062, 563, 763, 4346, 3761, 5832, 1062, 540, 2146, 4951, 602, 519, 6705, 8195, 1063, 3395, 5388, 543, 9393, 787, 269, 2334, 856, 29115, 540, 10448, 3395, 585, 513, 9393, 787, 543, 856, 29115, 540, 9393, 787, 585, 10448, 3395, 607, 1134, 269, 634, 2146, 972, 729, 11018, 585, 3395, 543, 7556, 269, 634, 454, 325, 1301, 619, 5610, 585, 13226, 2504, 585, 10047, 540, 5858, 13870, 543, 1871, 269, 634, 1034, 6705, 2226, 547, 4876, 10092, 543, 15110, 7326, 16662, 1549, 958, 269, 0, 10527, 4220, 2404, 609, 13044, 616, 1360, 9244, 2404, 609, 2085, 563, 10527, 1981, 538, 1453, 950, 789, 1205, 13044, 568, 5393, 1970, 563, 14071, 2461, 3257, 891, 2090, 538, 1453, 693, 519, 4090, 1317, 649, 1616, 547, 581, 2111, 547, 946, 519, 6669, 538, 1453, 1058, 621, 6961, 2556, 3034, 763, 8330, 571, 313, 523, 29132, 6669, 8062, 593, 1453, 616, 1373, 1031, 547, 2708, 2436, 519, 795, 629, 7472, 513, 2178, 4761, 3210, 538, 1346, 1063, 3670, 543, 476, 1704, 563, 763, 4966, 7900, 519, 4255, 5116, 519, 4791, 8062, 593, 23249, 2394, 811, 1344, 689, 519, 5709, 1149, 543, 16195, 15733, 27943, 10837, 630, 300, 295, 6938, 264, 568, 3177, 593, 519, 1981, 540, 1973, 28163, 4080, 538, 4079, 563, 10000, 30098, 689, 519, 631, 295, 6938, 616, 4397, 538, 519, 4947, 2395, 563, 23178, 18373, 4797, 281, 968, 2171, 6157, 1810, 1406, 1616, 547, 581, 2921, 1022, 4220, 2016, 741, 3592, 30050, 1981, 540, 4576, 689, 519, 2068, 563, 2108, 4407, 972, 568, 10462, 1472, 713, 267, 543, 2394, 649, 1205, 20501, 1344, 689, 519, 26273, 267, 649, 2731, 5433, 602, 519, 1318, 3364, 547, 798, 729, 547, 23249, 519, 1353, 267, 1491, 6006, 543, 1174, 811, 4628, 2436, 972, 941, 1022, 4145, 3034, 1103, 519, 5177, 267, 811, 982, 476, 4029, 269, 277, 2929, 1004, 723, 4607, 519, 1101, 9570, 540, 519, 6669, 543, 811, 982, 476, 276, 269, 275, 2929, 723, 4607, 741, 2034, 9570, 563, 13828, 519, 8330, 571, 313, 523, 29132, 543, 26172, 6500, 5174, 1470, 301, 27700, 10074, 616, 1373, 1031, 538, 519, 5177, 267, 4352, 513, 3791, 267, 519, 7073, 320, 6669, 267, 814, 1044, 9516, 563, 23178, 18373, 4797, 281, 968, 296, 1589, 952, 649, 1223, 1174, 713, 4576, 267, 1256, 952, 621, 1281, 2490, 856, 547, 581, 3361, 676, 519, 6669, 543, 2697, 945, 568, 693, 1981, 543, 2149, 873, 689, 602, 1981, 267, 602, 540, 1576, 568, 519, 1655, 2009, 6364, 585, 16764, 563, 4692, 1356, 2589, 281, 20050, 519, 14686, 2068, 568, 14921, 538, 519, 15108, 1496, 27486, 20846, 2639, 30048, 1826, 476, 273, 281, 20640, 3952, 4191, 547, 5544, 1496, 9915, 5588, 299, 20846, 2639, 24109, 559, 2747, 585, 9167, 607, 32228, 2103, 7142, 547, 1413, 547, 28993, 585, 10074, 1496, 3918, 12717, 3201, 2639, 10527, 811, 1344, 649, 1205, 543, 519, 1732, 649, 666, 1174, 713, 607, 3728, 607, 2009, 267, 519, 1732, 519, 6364, 585, 16764, 267, 711, 1175, 538, 713, 2197, 855, 2429, 519, 1158, 1848, 0, 268, 1215, 666, 594, 948, 1250, 1126, 609, 513, 2542, 9659, 888, 268, 1548, 616, 519, 1283, 476, 276, 1565, 9124, 888, 268, 2052, 10010, 3988, 6952, 909, 888, 268, 1548, 568, 519, 3017, 1063, 2542, 7411, 543, 2542, 9659, 888, 268, 1548, 568, 3500, 4393, 4524, 888, 268, 1548, 1281, 1373, 513, 3500, 5467, 1611, 888, 268, 1215, 798, 596, 917, 952, 596, 723, 513, 2542, 9659, 888, 268, 1215, 798, 596, 917, 952, 596, 616, 513, 10010, 5467, 888, 268, 1772, 3500, 2542, 513, 9659, 888, 268, 4208, 1281, 1250, 1126, 6560, 609, 2542, 888, 268, 4208, 1281, 1250, 1126, 723, 513, 2182, 942, 2542, 888, 1692, 666, 594, 948, 1250, 1126, 609, 513, 2542, 9659, 888, 1692, 547, 6435, 513, 4132, 26647, 31227, 2060, 7335, 10673, 1406, 7227, 547, 1205, 707, 1126, 2542, 948, 1352, 779, 3297, 269, 2521, 547, 1224, 547, 707, 1126, 585, 513, 1906, 3764, 3232, 13034, 27626, 707, 1126, 3442, 2835, 693, 1200, 2542, 1377, 5861, 976, 3187, 10992, 856, 2835, 593, 11746, 5861, 5273, 513, 5467, 7888, 1753, 676, 5464, 5496, 6066, 10756, 1432, 616, 519, 1283, 476, 276, 1565, 9124, 888, 5804, 27577, 547, 1893, 4393, 4524, 547, 3308, 829, 24632, 270, 6665, 783, 5179, 17211, 267, 1620, 1565, 9124, 2337, 6530, 4648, 1732, 1174, 519, 5095, 789, 4196, 6185, 903, 21685, 269, 2560, 21619, 23054, 807, 269, 2560, 21619, 20412, 807, 269, 2560, 10748, 7480, 4393, 4524, 269, 2560, 5678, 4393, 4524, 21457, 3688, 7498, 4692, 10010, 3988, 6952, 909, 888, 763, 2817, 23941, 540, 2657, 1533, 602, 476, 4817, 2600, 540, 4057, 3988, 666, 581, 4547, 909, 547, 3446, 1377, 952, 789, 4309, 2500, 948, 2038, 269, 2755, 621, 568, 1869, 2009, 547, 948, 606, 4587, 1126, 609, 2542, 267, 1346, 3564, 3791, 3446, 2154, 1454, 811, 14021, 948, 563, 1432, 568, 519, 3017, 1063, 2542, 7411, 543, 2542, 9659, 888, 1103, 5758, 267, 513, 2542, 4524, 568, 513, 13598, 2165, 585, 513, 1808, 1565, 9659, 538, 2127, 540, 13093, 1670, 4393, 267, 2542, 8223, 267, 543, 5924, 2542, 21711, 269, 21619, 21685, 568, 513, 7463, 2165, 585, 513, 1808, 1826, 540, 2542, 9659, 6353, 676, 7965, 609, 13093, 1670, 4393, 543, 2542, 21711, 563, 1432, 568, 3500, 4393, 4524, 888, 16352, 3500, 4393, 3432, 814, 4986, 547, 798, 609, 875, 5100, 3214, 616, 269, 898, 779, 3361, 676, 2634, 3604, 602, 1118, 873, 1491, 3476, 547, 798, 1919, 982, 824, 3214, 269, 901, 2882, 3257, 6780, 267, 2348, 513, 6643, 267, 543, 1818, 3664, 899, 1018, 547, 3548, 585, 14254, 269, 20405, 4393, 3432, 666, 4755, 593, 922, 1378, 563, 1432, 1281, 1373, 513, 3500, 5467, 1611, 888, 5445, 2995, 803, 602, 1373, 513, 3500, 5467, 1797, 789, 13842, 2542, 267, 602, 789, 3112, 1265, 1022, 2835, 267, 602, 972, 568, 1100, 1259, 789, 786, 2479, 1224, 2614, 2835, 538, 476, 278, 628, 3446, 543, 602, 972, 568, 4986, 547, 581, 2944, 827, 621, 269, 1358, 723, 2016, 909, 1317, 540, 3432, 563, 1692, 798, 596, 917, 952, 596, 723, 513, 2542, 9659, 888, 1432, 616, 519, 2589, 540, 2542, 4713, 286, 3682, 21793, 3280, 532, 856, 1913, 6185, 858, 22187, 9301, 4992, 543, 519, 5022, 602, 1118, 909, 1346, 4992, 10422, 3233, 10259, 2529, 869, 2542, 269, 3682, 21793, 2542, 856, 10978, 609, 2953, 4082, 269, 3682, 21793, 1620, 1018, 729, 1175, 1224, 563, 1692, 798, 596, 917, 952, 596, 616, 513, 10010, 5467, 888, 307, 709, 1076, 19551, 543, 9301, 5022, 540, 519, 9904, 16638, 1464, 547, 2697, 6586, 2719, 1913, 610, 2347, 5432, 30053, 5103, 7928, 17279, 543, 2259, 269, 1805, 745, 31227, 547, 3280, 856, 1913, 543, 5924, 5569, 4992, 1927, 11482, 629, 1681, 936, 513, 2262, 5103, 7487, 610, 2542, 621, 1896, 2053, 1354, 21457, 3688, 2507, 31220, 3674, 3500, 2542, 513, 9659, 888, 291, 903, 21685, 568, 513, 1565, 7411, 602, 5097, 5540, 519, 1983, 3238, 538, 4977, 543, 31402, 2262, 2542, 543, 10259, 269, 10886, 2065, 2934, 540, 27577, 616, 7965, 538, 13093, 1670, 4656, 267, 11913, 3965, 543, 11913, 4393, 3432, 269, 21619, 21685, 4386, 2066, 519, 2039, 540, 7214, 5759, 563, 3963, 1281, 1250, 1126, 6560, 609, 2542, 888, 5278, 3214, 723, 513, 1565, 9659, 602, 2306, 2542, 2352, 547, 1451, 269, 11524, 2097, 547, 1153, 1510, 519, 7924, 2833, 789, 991, 547, 1831, 3988, 269, 2368, 1453, 6560, 1317, 789, 4076, 4607, 4057, 610, 16283, 2542, 6044, 563, 3963, 1281, 1250, 1126, 723, 513, 2182, 942, 2542, 888, 291, 903, 21685, 568, 513, 1455, 1565, 3017, 602, 3123, 8373, 609, 2542, 269, 11838, 543, 3500, 4393, 3432, 666, 849, 1118, 2542, 2182, 269, 1703, 616, 6266, 540, 2081, 547, 948, 3214, 2087, 267, 1745, 1447, 21616, 267, 543, 1256, 2972, 2542, 269, 0, 763, 12136, 540, 2067, 14599, 3327, 538, 519, 5790, 2488, 513, 2189, 4316, 547, 4266, 5214, 2326, 607, 2025, 607, 10199, 476, 2568, 267, 1296, 269, 9521, 1034, 13666, 8084, 6580, 2409, 267, 519, 6671, 3327, 6580, 4480, 568, 711, 1759, 593, 10203, 8250, 24745, 269, 898, 12346, 3079, 593, 519, 11636, 9178, 610, 14897, 766, 540, 519, 14599, 2385, 609, 942, 269, 1715, 569, 2813, 3327, 8444, 941, 16912, 539, 547, 2746, 609, 11626, 5135, 547, 1106, 3327, 8166, 2910, 476, 273, 6675, 269, 15571, 5562, 3327, 3976, 729, 3308, 1242, 607, 11543, 13675, 16382, 11626, 3327, 8166, 13788, 1765, 20041, 2244, 2371, 676, 15591, 267, 883, 2831, 602, 3049, 593, 519, 2371, 267, 883, 7286, 543, 4195, 7297, 607, 513, 15702, 5057, 267, 543, 689, 972, 883, 12748, 2371, 543, 2831, 269, 769, 2110, 267, 782, 2694, 540, 519, 3327, 4783, 941, 2938, 547, 581, 22983, 676, 519, 24236, 3327, 454, 12552, 547, 26187, 559, 17540, 1564, 267, 12539, 25441, 1772, 538, 8614, 16985, 344, 269, 2290, 26831, 2904, 5620, 606, 14168, 674, 1460, 454, 23737, 518, 281, 1018, 568, 28650, 6580, 543, 875, 1281, 621, 960, 888, 305, 659, 3559, 8381, 1281, 711, 960, 585, 267, 5077, 267, 1378, 8843, 538, 610, 4309, 7616, 689, 1022, 2754, 610, 13539, 602, 1131, 4324, 689, 713, 2376, 267, 543, 814, 31889, 1100, 4143, 28930, 725, 3564, 741, 4081, 13393, 269, 30521, 22932, 6580, 814, 9927, 938, 1620, 540, 519, 2250, 476, 2004, 267, 1296, 269, 7905, 4024, 731, 8644, 2421, 3812, 519, 1101, 28650, 7389, 538, 543, 729, 2663, 13752, 519, 17587, 15356, 585, 1010, 3646, 269, 30521, 22932, 6580, 1568, 676, 9236, 519, 1614, 1114, 24745, 540, 3327, 269, 1772, 582, 8554, 540, 513, 1880, 3693, 723, 519, 1482, 1297, 540, 22571, 538, 741, 13540, 267, 855, 1114, 2338, 540, 25268, 563, 1692, 798, 2520, 5505, 946, 3327, 6580, 547, 1265, 519, 2085, 540, 7725, 888, 763, 3327, 9219, 568, 3478, 19268, 269, 8693, 5638, 689, 513, 5545, 10720, 616, 1305, 547, 2087, 519, 6111, 540, 519, 6580, 4480, 267, 799, 1223, 948, 547, 8774, 1769, 593, 15456, 13655, 971, 607, 1946, 3026, 6387, 628, 1023, 2968, 17255, 269, 12539, 6580, 568, 1031, 547, 960, 856, 519, 2085, 540, 5214, 1570, 2443, 538, 1198, 267, 1022, 2713, 3364, 269, 634, 4480, 31963, 593, 3327, 267, 513, 14599, 24236, 540, 519, 3693, 602, 267, 7429, 824, 811, 7123, 3029, 540, 3327, 267, 1232, 904, 2476, 693, 513, 11931, 2557, 269, 5029, 3359, 7001, 513, 1978, 2179, 540, 3327, 689, 519, 5790, 950, 789, 616, 9800, 563, 763, 2702, 547, 10502, 4266, 267, 610, 2697, 519, 2085, 540, 606, 1843, 267, 666, 4001, 721, 950, 3047, 4646, 267, 948, 7866, 2250, 16374, 543, 2995, 721, 875, 2038, 3425, 5030, 269, 1924, 875, 798, 3744, 798, 621, 286, 30521, 22932, 6580, 568, 519, 1034, 1455, 1505, 676, 2484, 267, 2687, 547, 4966, 269, 901, 1505, 3322, 7893, 9424, 540, 3327, 267, 513, 14599, 3327, 24236, 2443, 610, 4528, 540, 606, 11046, 609, 513, 1114, 1297, 540, 25268, 269, 12539, 568, 24819, 538, 519, 1604, 269, 0, 21080, 10386, 585, 2079, 540, 2910, 543, 922, 13666, 8084, 5888, 630, 290, 268, 1724, 267, 744, 268, 1240, 267, 543, 595, 268, 1691, 264, 814, 1044, 5340, 693, 519, 620, 18090, 6728, 12312, 333, 321, 5585, 263, 5325, 5232, 301, 267, 476, 1724, 5232, 292, 267, 476, 20542, 277, 544, 1657, 4262, 1377, 264, 2094, 5181, 476, 1960, 277, 269, 589, 1164, 4110, 540, 13260, 568, 4767, 267, 799, 568, 1813, 547, 519, 2647, 8390, 538, 519, 5169, 540, 2011, 13999, 25541, 269, 2201, 519, 4493, 540, 519, 2910, 543, 24236, 2164, 267, 513, 8760, 540, 519, 1114, 5439, 568, 5340, 269, 4033, 1239, 971, 607, 2142, 268, 278, 267, 744, 268, 274, 267, 3448, 11195, 267, 543, 1394, 24551, 616, 1031, 547, 2285, 3606, 1344, 827, 519, 2011, 2527 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1519, 3490, 14057, 267, 13755, 4926, 267, 2640, 267, 6284, 3292, 267, 543, 1565, 3255, 269, 1323, 7471, 2698, 12587, 1935, 5849, 602, 3906, 666, 3927, 4482, 267, 11677, 267, 543, 4497, 1283, 13007, 676, 13267, 547, 3309, 2115, 543, 7375, 780, 321, 264, 18378, 24054, 454, 1103, 4156, 9698, 4016, 547, 519, 9228, 14619, 540, 13180, 2157, 1851, 5520, 7900, 2147, 6009, 1369, 519, 1482, 3919, 269, 23496, 4835, 9698, 3322, 3384, 5812, 2628, 3889, 602, 5431, 1367, 7418, 543, 2773, 2157, 780, 322, 264, 24498, 14847, 25163, 454, 2750, 4156, 28211, 18575, 519, 12972, 540, 10721, 13180, 2157, 609, 2872, 4441, 543, 2344, 3928, 269, 24367, 5007, 28211, 2337, 3906, 2611, 10694, 547, 17053, 554, 2231, 1247, 10893, 24826, 780, 323, 264, 13751, 19047, 454, 19617, 2730, 4031, 543, 6042, 1827, 13180, 543, 2640, 7245, 267, 8506, 12820, 547, 15666, 547, 5934, 13230, 4170, 267, 3160, 2628, 14074, 267, 4550, 1673, 4593, 19303, 29071, 267, 543, 824, 4808, 2966, 547, 2149, 4600, 262, 2924, 543, 2327, 4023, 2126, 269, 19361, 1436, 609, 4143, 9086, 6087, 9439, 547, 1020, 5360, 5050, 4507, 543, 2057, 14427, 25036, 780, 272, 269, 12476, 6428, 776, 543, 654, 720, 23113, 692, 26015, 14057, 4564, 519, 6378, 5057, 540, 9441, 13180, 267, 3335, 6829, 607, 606, 5993, 4137, 6976, 856, 538, 2834, 3888, 906, 630, 324, 3052, 1421, 1979, 15553, 569, 1040, 27588, 12581, 543, 8013, 3490, 14057, 3889, 3340, 6297, 7156, 540, 2188, 971, 607, 2816, 9021, 267, 2838, 1983, 267, 2069, 1377, 267, 13664, 4087, 267, 543, 2199, 4074, 6990, 269, 1284, 786, 4983, 1896, 2442, 2409, 585, 9591, 3490, 23269, 267, 1519, 1384, 320, 264, 10369, 623, 878, 532, 454, 15812, 564, 14499, 3322, 4259, 3490, 23269, 2687, 547, 25162, 1239, 6508, 689, 13380, 7158, 538, 2147, 3906, 5665, 1369, 519, 1482, 2872, 610, 3148, 269, 22685, 1154, 513, 2344, 2861, 1935, 16881, 519, 10661, 540, 608, 27238, 8013, 13180, 2157, 780, 321, 264, 16763, 16214, 454, 297, 984, 6268, 568, 513, 9836, 1184, 1031, 547, 2708, 519, 3448, 4502, 540, 1114, 7158, 1369, 606, 3919, 269, 1635, 26471, 2798, 610, 9344, 1759, 593, 2188, 971, 607, 5578, 7569, 267, 4674, 2838, 267, 5539, 10924, 267, 543, 2324, 2175, 11402, 267, 9439, 666, 1711, 24323, 12581, 2628, 3889, 602, 2992, 519, 8795, 5232, 540, 6988, 2404, 609, 3982, 5107, 780, 322, 264, 16340, 7171, 532, 454, 289, 5802, 7171, 532, 2458, 22663, 2757, 21712, 3446, 3889, 883, 6626, 13164, 267, 3850, 3152, 8112, 538, 8159, 4358, 23269, 543, 14577, 2628, 9832, 936, 942, 269, 901, 1935, 7512, 14694, 3350, 2066, 3252, 543, 13623, 1247, 5009, 811, 1930, 2792, 1063, 9946, 543, 5520, 3823, 13180, 6927, 780, 272, 269, 24438, 9796, 15789, 692, 24868, 762, 2628, 3292, 7110, 3490, 23269, 609, 3606, 15314, 13615, 547, 1367, 267, 2319, 267, 610, 10721, 2773, 14573, 269, 5871, 2010, 540, 4756, 2628, 1331, 13755, 4926, 267, 862, 3827, 267, 7443, 4687, 12417, 267, 543, 12374, 327, 2130, 4566, 269, 20074, 3811, 4756, 2628, 7341, 19329, 2312, 3804, 1606, 23293, 267, 12001, 2792, 267, 543, 11826, 6482, 3157, 269, 6206, 9270, 1331, 1384, 320, 264, 1325, 793, 532, 20505, 454, 28444, 675, 602, 4756, 2628, 9072, 616, 13988, 609, 7580, 14422, 543, 3895, 5551, 5615, 1851, 23700, 269, 1280, 1383, 267, 6455, 10243, 14565, 1058, 10996, 643, 1125, 1279, 3856, 6075, 3347, 2864, 982, 2110, 3856, 12374, 693, 519, 13258, 540, 7817, 9547, 780, 321, 264, 26787, 20970, 7600, 4997, 454, 31711, 6662, 267, 3067, 16666, 7355, 585, 10442, 2773, 4093, 5532, 547, 4756, 2628, 17758, 269, 3680, 24813, 3800, 11630, 547, 12879, 610, 31495, 13133, 566, 780, 322, 264, 21344, 10374, 31645, 5288, 269, 7043, 31645, 10312, 454, 1805, 686, 651, 606, 3617, 3666, 1063, 7525, 2883, 12587, 543, 3476, 3856, 5092, 538, 9441, 2208, 543, 1646, 269, 744, 3164, 332, 3508, 529, 593, 2110, 3856, 12374, 949, 24183, 3646, 547, 6536, 14017, 543, 7029, 1851, 1883, 20334, 780, 272, 269, 31287, 11588, 543, 7896, 692, 19741, 13075, 13180, 267, 3906, 2709, 513, 2039, 540, 1875, 2914, 720, 2640, 6322, 693, 7393, 2949, 8171, 267, 960, 3734, 3666, 267, 543, 2883, 3354, 269, 15019, 4324, 6688, 1331, 1072, 6142, 267, 16468, 9806, 4566, 267, 4734, 4507, 267, 3872, 6351, 267, 543, 8465, 960, 12417, 269, 1879, 8888, 3102, 2640, 15004, 267, 2015, 519, 1739, 1384, 320, 264, 20051, 667, 5744, 20126, 454, 290, 831, 547, 9867, 22097, 543, 1272, 5933, 676, 5356, 5079, 3358, 547, 2043, 262, 2189, 6381, 543, 7375, 269, 21278, 3681, 2636, 5520, 547, 21160, 741, 2640, 2823, 31987, 2687, 547, 2123, 14422, 780, 321, 264, 30855, 12525, 22436, 454, 16655, 4476, 2139, 3454, 17099, 543, 17429, 2388, 2404, 609, 1978, 2640, 17008, 267, 7551, 4227, 2121, 3790, 585, 1312, 16108, 543, 9441, 7567, 269, 6201, 1331, 476, 25002, 17347, 264, 12805, 7418, 267, 24875, 32158, 9309, 618, 267, 543, 6283, 24307, 780, 322, 264, 4004, 21899, 10025, 1160, 6570, 454, 22546, 1947, 5968, 519, 1871, 20790, 7915, 538, 10721, 2640, 17008, 267, 10771, 15889, 5383, 1471, 268, 14504, 23724, 15712, 543, 11744, 9758, 6161, 585, 9441, 10304, 780, 272, 269, 7351, 12367, 543, 8892, 19648, 692, 2026, 4074, 6990, 3136, 9687, 9624, 6639, 21463, 267, 13346, 6848, 8155, 267, 543, 15398, 6735, 585, 9952, 13007, 267, 5499, 4485, 547, 13180, 543, 2640, 7245, 10836, 269, 31838, 3466, 1331, 1384, 320, 264, 9608, 1242, 25166, 731, 7010, 454, 3849, 2194, 532, 8007, 3889, 547, 13918, 5051, 26945, 960, 1721, 806, 6353, 676, 3309, 10080, 267, 2418, 267, 543, 17050, 269, 11426, 1242, 13180, 543, 2640, 3435, 8597, 547, 13395, 12415, 267, 29103, 1359, 6278, 543, 9547, 780, 321, 264, 4578, 5937, 337, 1508, 17423, 10435, 454, 25219, 559, 1944, 4359, 12642, 2645, 547, 2697, 3270, 267, 3589, 3466, 267, 543, 11126, 4199, 14305, 538, 1483, 6066, 269, 8262, 1239, 3156, 7520, 5483, 3375, 1818, 16135, 538, 12170, 2963, 780, 322, 264, 717, 580, 19004, 20480, 454, 32382, 519, 4473, 540, 20314, 550, 7694, 3631, 6353, 676, 2110, 3856, 4497, 906, 267, 1788, 2861, 10467, 267, 543, 6552, 5698, 269, 15043, 8465, 13180, 543, 2640, 26336, 5827, 540, 8383, 908, 17254, 4346, 5171, 3788, 14063, 780, 323, 264, 14464, 11106, 16949, 454, 18204, 7992, 5841, 4987, 6620, 543, 3684, 1565, 7207, 883, 19684, 267, 5542, 267, 543, 2773, 2359, 3157, 267, 6908, 23164, 4238, 543, 5355, 6111, 269, 3642, 12454, 3435, 3986, 1843, 2032, 267, 7413, 9186, 267, 543, 2569, 11889, 24675, 2404, 609, 8261, 7459, 780, 3528, 13215, 519, 1148, 543, 2257, 540, 13180, 543, 2640, 7245, 267, 14971, 4074, 1894, 12665, 1831, 1732, 9280, 547, 10994, 10296, 2591, 29270, 2413, 3906, 269, 3414, 2565, 2079, 267, 3860, 1966, 6061, 267, 543, 5683, 19642, 267, 1053, 666, 3565, 25006, 547, 5935, 7524, 9036, 4529, 20690, 2740, 676, 3972, 267, 11413, 267, 543, 8994, 2463, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 4876, 607, 513, 1480, 2200, 11285, 568, 694, 788, 539, 538, 3347, 543, 6042, 269, 774, 344, 957, 899, 6474, 16234, 267, 30010, 3549, 609, 4648, 543, 1287, 957, 607, 513, 1647, 812, 538, 519, 9441, 270, 655, 1943, 518, 2078, 269, 1809, 1018, 4010, 1281, 513, 4876, 607, 513, 1480, 2200, 11285, 27167, 286, 10801, 713, 31597, 6651, 547, 29460, 513, 5274, 8249, 28154, 267, 649, 786, 2263, 1018, 1480, 2200, 568, 267, 875, 547, 1376, 513, 4876, 607, 513, 1480, 2200, 11285, 267, 1018, 519, 4876, 5654, 899, 267, 543, 2104, 3466, 538, 1480, 2200, 563, 5970, 596, 2479, 4294, 585, 513, 2816, 286, 1403, 865, 267, 513, 1480, 2200, 11285, 15044, 998, 707, 16056, 10838, 513, 10518, 540, 23078, 547, 3313, 952, 596, 941, 11727, 585, 519, 2816, 269, 1403, 519, 15679, 8257, 5433, 596, 941, 513, 1434, 6474, 585, 519, 2990, 267, 519, 1985, 1900, 729, 1034, 2693, 606, 538, 16512, 610, 6049, 5967, 269, 13689, 593, 519, 2990, 267, 513, 8470, 5967, 610, 2789, 11042, 949, 723, 7018, 1354, 596, 6368, 941, 21534, 269, 634, 15679, 11285, 5462, 707, 2628, 1759, 593, 707, 7173, 1470, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15253, 18730, 543, 11588, 10029, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 8534, 1299, 11633, 9534, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4498, 1145, 532, 519, 5295, 540, 11310, 13317, 998, 13229, 11310, 5004, 7010, 543, 18877, 540, 6657, 692, 7072, 692, 1103, 2221, 781, 6385, 4657, 1870, 1604, 267, 3906, 616, 4098, 547, 5431, 602, 741, 8013, 5413, 6013, 711, 1152, 538, 741, 2168, 7221, 855, 849, 538, 741, 30608, 2200, 971, 607, 1702, 3854, 269, 4340, 547, 3798, 9109, 26856, 543, 5689, 821, 630, 1960, 278, 1070, 7214, 3854, 5161, 540, 1614, 3334, 910, 1480, 3854, 267, 7293, 3854, 267, 543, 6075, 3854, 269, 7324, 560, 891, 267, 1702, 13054, 519, 1034, 4105, 5057, 540, 10721, 5763, 5137, 543, 4264, 1646, 269, 9182, 267, 5883, 543, 16107, 713, 1702, 3927, 814, 1831, 14063, 585, 4213, 5275, 1967, 269, 901, 3184, 12538, 883, 519, 14960, 540, 7598, 7347, 1702, 2359, 1949, 543, 14237, 7524, 2950, 540, 2259, 1369, 3906, 899, 9791, 9928, 2100, 13082, 630, 7034, 299, 1040, 1635, 12561, 1655, 2853, 6537, 689, 3811, 5119, 3906, 5665, 538, 2147, 6237, 5468, 267, 645, 20784, 666, 3648, 3986, 922, 10512, 4398, 267, 5647, 7207, 267, 543, 2949, 2773, 780, 8139, 11310, 5004, 7010, 630, 298, 5960, 2020, 288, 918, 5960, 4016, 547, 513, 1305, 540, 3157, 267, 2645, 267, 543, 2994, 2966, 547, 2697, 267, 1711, 267, 2099, 267, 15814, 267, 543, 5512, 519, 10073, 540, 4030, 543, 2833, 1369, 606, 3919, 269, 898, 16881, 519, 7503, 540, 512, 659, 527, 630, 26051, 267, 2796, 10391, 264, 1702, 883, 8763, 630, 323, 29545, 267, 9836, 264, 3029, 602, 666, 581, 3362, 3838, 1851, 5520, 269, 1323, 2500, 918, 5960, 1058, 6536, 6024, 1565, 267, 3895, 5698, 267, 7520, 3375, 6194, 267, 543, 5000, 1702, 4483, 2066, 25327, 267, 13623, 267, 543, 10923, 6302, 630, 2704, 822, 328, 1299, 2274, 573, 1676, 267, 476, 1220, 272, 1040, 769, 9759, 267, 621, 5713, 607, 513, 18463, 585, 13321, 1367, 6791, 883, 7104, 7326, 267, 7551, 7393, 10721, 6043, 543, 13916, 780, 22860, 4506, 1401, 12371, 918, 5960, 693, 645, 20784, 281, 26787, 7454, 13756, 7600, 4997, 692, 2414, 3715, 4143, 1655, 2259, 7355, 585, 645, 20784, 781, 1007, 918, 5960, 267, 1896, 2188, 1590, 581, 2808, 269, 1452, 1331, 1384, 272, 269, 1325, 9892, 609, 9746, 6859, 281, 634, 918, 5960, 1058, 1489, 543, 12927, 7580, 3853, 267, 14422, 267, 543, 2418, 1247, 5807, 513, 2528, 540, 1702, 4687, 543, 1565, 2429, 519, 3919, 563, 273, 269, 14871, 7266, 878, 1374, 281, 634, 1062, 1058, 8597, 547, 3309, 3593, 2115, 267, 7375, 267, 543, 5578, 2157, 282, 2709, 2653, 10333, 282, 543, 2327, 15774, 5610, 609, 4540, 8668, 5989, 563, 274, 269, 11559, 618, 540, 1079, 17574, 2792, 281, 634, 918, 5960, 1058, 5512, 1312, 6101, 543, 13016, 9055, 585, 27300, 2093, 267, 5955, 267, 543, 4245, 4121, 1851, 2319, 2818, 563, 275, 269, 21253, 2225, 543, 25382, 281, 1306, 645, 20784, 21040, 922, 11640, 2066, 519, 6789, 292, 3198, 3148, 267, 519, 1062, 1590, 13918, 2810, 12531, 540, 1239, 267, 3755, 267, 543, 6198, 4170, 1510, 18731, 2773, 610, 32636, 563, 276, 269, 2725, 553, 13701, 543, 12477, 281, 634, 918, 5960, 1058, 6451, 6127, 585, 9477, 543, 10442, 1883, 2773, 10832, 630, 298, 303, 3674, 264, 2404, 609, 1702, 11601, 267, 23425, 267, 3498, 267, 543, 1764, 563, 277, 269, 23120, 6454, 281, 8617, 8039, 267, 10311, 267, 543, 13217, 906, 540, 519, 1062, 1058, 581, 17298, 1759, 593, 3593, 5955, 267, 6639, 7760, 267, 543, 6932, 1655, 2853, 780, 32575, 7454, 13756, 689, 4400, 6261, 518, 14127, 20871, 692, 16352 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 621, 781, 20240, 607, 4977, 563, 288, 918, 1168, 27700, 23094, 4152, 11690, 666, 3432, 519, 1184, 909, 563, 6524, 596, 2253, 519, 4152, 593, 519, 6174, 267, 596, 1058, 1101, 1449, 707, 11281, 269, 12414, 621, 593, 267, 1305, 621, 547, 519, 2912, 1043, 4187, 1449, 610, 519, 15364, 18388, 518, 269, 6744, 602, 609, 519, 28525, 6306, 267, 602, 621, 568, 4758, 596, 513, 2542, 540, 1100, 15364, 267, 2356, 834, 5357, 257, 610, 834, 272, 2580, 1287, 5905, 519, 28525, 1927, 267, 713, 1058, 2285, 596, 513, 2542, 540, 15364, 267, 476, 271, 19315, 916, 454, 295, 809, 909, 1291, 454, 763, 1101, 851, 540, 713, 568, 547, 1449, 707, 13622, 909, 1291, 267, 607, 649, 2811, 2469, 547, 946, 713, 607, 513, 834, 342, 6387, 1291, 257, 630, 26074, 649, 666, 32603, 827, 519, 8709, 609, 621, 264, 950, 649, 2811, 4152, 519, 1124, 22806, 538, 519, 8709, 16172, 563, 268, 4530, 519, 8701, 640, 540, 707, 13622, 909, 1291, 1210, 707, 1617, 9014, 267, 1305, 707, 11281, 547, 519, 2912, 1043, 4187, 1449, 267, 1419, 20922, 676, 513, 7574, 4063, 3090, 563, 268, 9255, 835, 16785, 883, 519, 2661, 12363, 540, 1142, 1439, 540, 519, 13622, 1575, 1291, 267, 596, 1058, 1205, 606, 2912, 1043, 18388, 543, 519, 5496, 1058, 1224, 1472, 476, 271, 19315, 916, 563, 268, 18227, 835, 16785, 593, 519, 2661, 12363, 538, 835, 1439, 540, 519, 13622, 1575, 1291, 267, 1631, 5905, 519, 9243, 543, 3618, 12363, 538, 519, 824, 1439, 540, 519, 13622, 1575, 1291, 267, 891, 1058, 711, 2285, 596, 606, 2912, 1043, 3280, 543, 519, 4187, 1058, 5815, 20358, 610, 1100, 15364, 267, 2356, 20922, 676, 513, 834, 272, 257, 593, 519, 5496, 610, 834, 5357, 8487, 268, 769, 519, 1101, 11690, 267, 1847, 707, 1617, 9014, 16785, 5196, 519, 9243, 12363, 540, 519, 11690, 543, 10956, 519, 2638, 593, 782, 476, 274, 23525, 538, 519, 824, 1439, 540, 519, 13622, 1575, 11690, 267, 1586, 596, 2811, 3168, 585, 15364, 547, 519, 9243, 543, 1100, 15364, 547, 519, 2661, 543, 3618, 563, 268, 7053, 267, 538, 519, 1101, 11690, 267, 1847, 707, 1617, 9014, 16785, 5196, 519, 3618, 12363, 540, 519, 11690, 543, 10956, 782, 476, 274, 11974, 267, 596, 2811, 3168, 585, 15364, 1063, 519, 1079, 3618, 4296, 543, 1100, 15364, 547, 519, 2661, 543, 9243, 563, 2791, 1058, 1205, 519, 1739, 13220, 3248, 23277, 1446, 623, 29888, 1475, 293, 24580, 623, 29888, 610, 4934, 2280, 1475, 16676, 8462, 286, 2008, 30054, 633, 12363, 1475, 299, 633, 12363, 1475, 8133, 2008, 30054, 633, 12363, 1475, 10468, 23018, 12363, 1475, 5591, 2008, 30054, 633, 12363, 1475, 24618, 12363, 1475, 5591, 2008, 347, 10468, 23018, 12363, 1475, 10468, 23018, 12363, 1475, 8133, 2008, 347, 10468, 23018, 12363, 1475, 299, 633, 12363, 1475, 5591, 2008, 347, 10468, 23018, 12363, 1475, 24618, 12363, 1475, 5591, 2008, 347, 24618, 12363, 1475, 24618, 12363, 1475, 8133, 2008, 347, 24618, 12363, 1475, 10468, 23018, 12363, 1475, 5591, 2008, 347, 24618, 12363, 1475, 299, 633, 12363, 1475, 5591, 2008, 2252, 596, 1205, 1022, 2164, 4849, 891, 267, 596, 1058, 2638, 707, 1505, 267, 1964, 652, 543, 952, 596, 14578, 616, 3478, 11234, 2164, 267, 621, 781, 2009, 602, 596, 723, 513, 25768, 13622, 1575, 1291, 269, 4210, 777, 585, 513, 1634, 1434, 10682, 563, 5629, 596, 723, 519, 2953, 2164, 1934, 267, 11690, 519, 674, 4932, 3201, 292, 1439, 540, 519, 13622, 1575, 1291, 883, 707, 8709, 781, 13622, 909, 23094, 543, 32603, 883, 519, 8709, 2676, 3528, 726, 19982, 519, 32603, 1291, 883, 519, 29504, 23094, 543, 3001, 519, 6587, 1439, 1472, 519, 8709, 609, 596, 267, 596, 2811, 2111, 547, 2932, 519, 4255, 538, 513, 2241, 1259, 2348, 1312, 4296, 1369, 3914, 540, 519, 1617, 9014, 563, 2252, 707, 1617, 9014, 814, 25438, 850, 17157, 28339, 267, 621, 666, 581, 1360, 13561, 547, 946, 891, 593, 519, 23525, 538, 519, 32603, 10774, 809, 1575, 1291, 547, 1118, 519, 4152, 607, 2653, 607, 2009, 563, 28444, 675, 602, 519, 1292, 6467, 630, 305, 7374, 264, 543, 782, 5547, 2736, 619, 543, 23094, 17176, 616, 538, 519, 10396, 2990, 585, 713, 1449, 563, 763, 1482, 1184, 568, 1031, 585, 519, 1964, 540, 519, 476, 13301, 341, 10380, 267, 693, 1142, 476, 13301, 309, 17752, 519, 1482, 476, 280, 2638, 4255, 607, 1657, 1058, 581, 5340, 543, 519, 2164, 1058, 581, 519, 1482, 269, 1280, 519, 476, 274, 8930, 11690, 338, 267, 596, 1223, 798, 713, 609, 513, 1617, 9014, 16785, 1354, 519, 1394, 10833, 616, 7923, 547, 519, 23094, 267, 610, 621, 781, 1419, 513, 2603, 4443, 547, 946, 513, 23094, 3082, 528, 607, 3182, 3293, 1657, 952, 596, 723, 835, 563, 2690, 1022, 2182, 342, 1600, 4296, 267, 971, 607, 513, 535, 4310, 27513, 3092, 269, 519, 1449, 1058, 581, 5645, 856, 609, 707, 1617, 9014, 28525, 563, 5629, 596, 723, 7318, 543, 20240, 519, 8701, 640, 568, 2953, 593, 782, 540, 519, 476, 13301, 309, 2165, 5209, 267, 596, 666, 6445, 856, 519, 8701, 640, 3296, 593, 707, 10380, 15149, 543, 1847, 5196, 519, 1985, 1449, 563, 1607, 8701, 640, 4152, 1058, 581, 7368, 693, 707, 1974, 24422, 849, 563, 1607, 568, 5497, 607, 513, 3391, 1152, 543, 1058, 711, 581, 2655, 21114, 585, 519, 1697, 1702, 543, 1995, 269, 0, 2026, 10980, 267, 2594, 3002, 543, 30481, 8673, 28958, 519, 7414, 19566, 267, 3484, 5411, 543, 2361, 32305, 6560, 547, 3082, 269, 6884, 519, 3210, 7959, 1561, 14876, 610, 16283, 563, 21900, 21106, 676, 16888, 717, 1446, 454, 17806, 676, 590, 1120, 1470, 9986, 21573, 454, 1103, 2038, 4832, 267, 513, 1554, 28346, 337, 18413, 12555, 3515, 693, 513, 2030, 21543, 1175, 5045, 540, 24144, 267, 20957, 1421, 25540, 547, 519, 2666, 543, 5747, 269, 3571, 4013, 2014, 540, 2669, 729, 10294, 968, 17742, 1644, 3034, 2005, 729, 476, 10441, 5232, 856, 2443, 1896, 2395, 883, 513, 22266, 3002, 5951, 4171, 899, 814, 1831, 5051, 28125, 538, 1082, 2694, 540, 519, 2197, 269, 4053, 17632, 543, 804, 4461, 19323, 538, 741, 16115, 2059, 519, 6115, 5032, 269, 16680, 5210, 543, 18979, 12798, 23185, 835, 540, 519, 4102, 23967, 538, 519, 2136, 2276, 563, 291, 3754, 267, 19251, 2378, 2231, 543, 3002, 6329, 616, 27312, 593, 519, 7414, 19566, 607, 519, 2360, 540, 2916, 1689, 7369, 519, 5251, 269, 1358, 723, 7142, 3484, 5411, 267, 2361, 32305, 543, 1533, 22124, 547, 6330, 9241, 3665, 2175, 563, 3719, 11564, 547, 1896, 11396, 538, 519, 681, 4084, 9503, 538, 14822, 543, 538, 8828, 6115, 936, 519, 2063, 3923, 4951, 602, 519, 3210, 666, 1419, 1745, 1561, 14876, 267, 543, 693, 2053, 16283, 563, 303, 4301, 2096, 5474, 538, 14822, 543, 6115, 723, 5063, 3964, 3106, 6042, 547, 2149, 4600, 269, 3807, 1310, 519, 5309, 5109, 3002, 5951, 538, 4873, 267, 29583, 269, 25562, 9466, 540, 14822, 9859, 519, 1533, 779, 27706, 2657, 543, 8881, 8116, 547, 9772, 6595, 3652, 585, 1022, 9036, 1141, 2175, 1223, 1291, 547, 3002, 4576, 563, 763, 3652, 267, 799, 3576, 1198, 4119, 269, 476, 280, 267, 2154, 12820, 547, 1683, 1569, 547, 12094, 543, 3579, 6704, 1216, 538, 11396, 543, 824, 9205, 4025, 950, 5210, 3914, 476, 3199, 5232, 267, 609, 3606, 4170, 547, 2709, 811, 9397, 543, 13350, 9716, 11974, 950, 621, 10301, 476, 3445, 5232, 563, 763, 3652, 849, 2154, 12820, 602, 1683, 10151, 8027, 547, 2361, 4600, 267, 899, 1346, 609, 670, 268, 273, 288, 6694, 1471, 553, 267, 547, 1832, 11623, 693, 476, 4281, 5232, 610, 2630, 269, 6115, 3557, 713, 1032, 2813, 2147, 6595, 3652, 547, 4383, 3665, 4365, 3270, 267, 11836, 16506, 543, 4993, 267, 799, 723, 849, 13684, 3002, 3106, 6042, 602, 4019, 547, 11396, 538, 2487, 1296, 563, 13126, 281, 3367, 9509, 9137, 0, 763, 5767, 2029, 1031, 538, 4070, 540, 5656, 543, 13123, 269, 1358, 616, 1031, 607, 513, 2101, 3693, 538, 519, 12432, 2497, 269, 20056, 550, 2298, 267, 1164, 4452, 12946, 4390, 267, 15006, 267, 5488, 3432, 540, 4070, 267, 3092, 269, 616, 930, 540, 519, 4128, 1946, 621, 568, 11543, 8560, 538, 519, 4070, 2872, 563, 2108, 9515, 541, 27296, 1797, 18188, 5374, 801, 338, 269, 1452, 616, 7143, 4765, 547, 513, 7293, 4759, 585, 8236, 12432, 2962, 609, 6405, 269, 2701, 541, 27296, 568, 835, 540, 519, 2101, 2609, 538, 519, 12432, 2497, 3034, 6597, 14958, 568, 519, 1152, 10672, 538, 3127, 945, 568, 5663, 519, 19852, 801, 338, 593, 4628, 13128, 1164, 3432, 3684, 538, 2582, 14764, 269, 9747, 11007, 538, 10866, 568, 9738, 269, 3143, 2417, 4238, 616, 2838, 563, 26660, 540, 938, 801, 338, 568, 6697, 547, 824, 1134, 1634, 12478, 899, 20307, 267, 918, 302, 4596, 267, 3092, 563, 2171, 5478, 7711, 1911, 876, 562, 657, 538, 2582, 6521, 563, 763, 21969, 3429, 6713, 454, 6597, 769, 13555, 2060, 17934, 454, 26794, 540, 2701, 541, 27296, 454, 268, 2701, 541, 4045, 832, 723, 1164, 4452, 12946, 4390, 543, 2709, 5230, 4187, 585, 5821, 676, 1352, 2130, 267, 538, 12432, 2497, 563, 268, 15020, 1164, 2557, 540, 2504, 666, 581, 6913, 267, 1282, 4070, 563, 268, 661, 848, 540, 5106, 267, 1282, 4070, 269, 3143, 1808, 5578, 568, 2838, 585, 13841, 563, 268, 21253, 2225, 538, 1374, 540, 4070, 563, 268, 2701, 541, 4045, 832, 666, 581, 7143, 4765, 998, 1546, 1188, 16847, 267, 547, 3132, 6405, 28973, 563, 268, 12025, 540, 9587, 616, 4130, 8754, 585, 2016, 3710, 909, 1858, 649, 666, 723, 3677, 24095, 1858, 454, 268, 16200, 267, 14463, 267, 7123, 543, 20381, 11259, 563, 268, 12565, 936, 8115, 630, 4629, 289, 994, 268, 20497, 2679, 454, 268, 5295, 12518, 454, 4306, 11070, 595, 6938, 10499, 568, 5663, 19852, 28339, 2687, 547, 3486, 3044, 18869, 476, 16928, 1240, 543, 4152, 568, 2944, 607, 829, 589, 16703, 667, 272, 269, 272, 22230, 272, 269, 272, 300, 563, 8256, 18790, 519, 2565, 640, 540, 3498, 267, 2289, 14958, 814, 5402, 5697, 519, 6151, 1570, 609, 1697, 3114, 5888, 543, 7344, 3601, 547, 2327, 5140, 28891, 1464, 543, 4222, 563, 9515, 541, 28339, 609, 695, 1678, 8006, 476, 1724, 267, 476, 1626, 267, 476, 866, 267, 476, 2420, 543, 476, 1839, 6515, 616, 1034, 4122, 1031, 5001, 267, 609, 8795, 13080, 269, 595, 10984, 545, 7542, 337, 2737, 547, 9290, 519, 19852, 28339, 616, 13859, 676, 2289, 14958, 269, 13689, 2390, 519, 3498, 267, 645, 732, 19045, 610, 3414, 1546, 1188, 595, 10984, 545, 12113, 337, 2737, 616, 13859, 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 ]
[ 267, 1247, 519, 4339, 585, 7850, 13180, 19388, 619, 538, 3486, 10470, 269, 634, 12526, 2707, 267, 513, 23561, 2030, 267, 19156, 519, 25680, 991, 585, 22608, 6042, 593, 13818, 4853, 3157, 563, 13828, 2665, 20838, 519, 2956, 540, 2146, 6043, 538, 519, 3068, 540, 971, 10779, 885, 269, 18748, 539, 2950, 678, 718, 1221, 1927, 267, 14053, 12477, 543, 8165, 585, 741, 1318, 547, 513, 2973, 543, 2922, 1604, 269, 901, 7104, 6043, 267, 2705, 267, 1058, 711, 31083, 20760, 519, 5539, 540, 6080, 543, 6608, 547, 2061, 971, 12469, 563, 4322, 2013, 2090, 5031, 519, 25680, 4539, 540, 2825, 12526, 543, 519, 5571, 6560, 585, 7850, 13180, 269, 634, 4339, 585, 2825, 5126, 568, 1419, 1279, 543, 9808, 9853, 609, 2591, 267, 26089, 3102, 3656, 10850, 267, 7453, 11268, 267, 543, 519, 14713, 540, 14388, 2950, 563, 299, 20235, 17563, 585, 16418, 532, 4414, 816, 454, 15307, 629, 7667, 7347, 3656, 1102, 2858, 23461, 568, 11358, 538, 4180, 519, 4299, 2950, 262, 2924, 616, 6870, 543, 741, 20494, 341, 1734, 616, 9619, 3927, 267, 7551, 5807, 513, 2631, 540, 5126, 543, 3354, 269, 589, 3102, 3656, 5943, 585, 5275, 2699, 816, 585, 9601, 540, 2825, 12526, 568, 15747, 538, 5466, 519, 10848, 540, 891, 2665, 563, 4913, 267, 519, 1761, 585, 5126, 568, 1419, 554, 2086, 1229, 676, 3609, 3138, 2684, 3421, 269, 1452, 3138, 2684, 3421, 666, 7520, 519, 859, 5235, 540, 5539, 676, 519, 6105, 4929, 2825, 2800, 267, 14944, 1456, 519, 7145, 540, 3656, 973, 6847, 269, 1280, 3236, 267, 22394, 610, 1875, 7721, 11962, 6042, 593, 13818, 3653, 12871, 267, 610, 561, 1314, 11268, 540, 4540, 4031, 267, 666, 1711, 606, 1604, 1141, 12526, 13685, 979, 10002, 684, 1639, 563, 1103, 1769, 540, 891, 2591, 267, 25036, 2994, 1590, 581, 5402, 2919, 269, 11150, 949, 4125, 1362, 2962, 17015, 267, 799, 19597, 622, 519, 6811, 540, 1082, 9601, 883, 835, 27779, 267, 3976, 2810, 741, 7104, 29541, 1379, 269, 3958, 267, 1857, 1719, 25036, 666, 581, 15747, 538, 8744, 971, 2665, 547, 1769, 543, 11319, 585, 11528, 1689, 563, 2750, 13630, 21981, 4249, 513, 1713, 1909, 538, 891, 2665, 267, 3246, 3621, 2963, 547, 3715, 519, 3095, 1063, 519, 12526, 543, 519, 2800, 11124, 676, 519, 9601, 269, 15845, 540, 32226, 610, 18670, 540, 6042, 676, 519, 15034, 5428, 568, 849, 2629, 585, 3811, 25036, 563, 3725, 13257, 538, 2825, 9086, 1058, 2832, 693, 14874, 3609, 3138, 2684, 3421, 543, 14304, 11268, 6127, 269, 901, 2882, 811, 22608, 6042, 593, 4853, 2238, 609, 1761, 2825, 5222, 543, 6793, 20507, 585, 19374, 269, 1635, 6830, 4328, 519, 3656, 5943, 585, 5275, 2699, 816, 267, 621, 568, 2009, 547, 1683, 811, 2500, 18817, 585, 5126, 585, 9601, 540, 2825, 12526, 267, 17923, 3972, 538, 519, 3656, 1062, 563, 305, 1961, 540, 7025, 589, 2102, 2886, 454, 19931, 9431, 23388, 676, 22257, 4703, 4249, 513, 2629, 1909, 538, 519, 4027, 540, 2067, 2200, 543, 1857, 1072, 267, 2523, 538, 519, 2796, 540, 4853, 5533, 269, 7025, 8041, 267, 1312, 693, 519, 5313, 543, 1533, 1377, 267, 7703, 519, 5539, 540, 7598, 543, 30191, 9431, 4507, 6322, 693, 7303, 543, 9013, 8733, 12526, 269, 1452, 8041, 616, 32486, 547, 6895, 4853, 2238, 267, 2708, 2825, 5222, 267, 17997, 6042, 267, 543, 1491, 30997, 3527, 538, 2665, 540, 19374, 563, 288, 11765, 12477, 267, 4061, 267, 568, 540, 14063, 2956, 538, 4180, 602, 519, 9601, 540, 2825, 12526, 616, 18113, 9104, 730, 269, 901, 568, 6913, 998, 11826, 10220, 5464, 267, 543, 1141, 1875, 10687, 20869, 568, 9571, 267, 519, 8041, 666, 20818, 20507, 267, 22717, 610, 1256, 7080, 754, 4238, 540, 519, 1055, 2056, 6080, 269, 1452, 5309, 1438, 3527, 4196, 607, 15658, 1370, 338, 1996, 1761, 19374, 267, 8754, 7863, 7925, 2950, 689, 519, 5739, 2360, 540, 2825, 5533, 563, 20245, 8041, 849, 1404, 513, 1713, 1909, 538, 14123, 25036, 3157, 585, 9601, 5275, 2699, 816, 269, 901, 568, 6913, 676, 3246, 2565, 2963, 998, 741, 3329, 894, 4681, 267, 799, 666, 581, 1031, 547, 3715, 15668, 269, 769, 713, 2543, 267, 891, 8041, 957, 607, 8169, 617, 2103, 540, 2825, 5126, 267, 4180, 602, 519, 12376, 619, 2628, 585, 519, 2800, 3361, 676, 741, 3527, 563, 2414, 3986, 8116, 12477, 267, 972, 568, 513, 991, 585, 7347, 9431, 4507, 602, 5581, 2312, 5773, 585, 11268, 543, 1683, 585, 1857, 7589, 538, 3375, 6194, 3157, 269, 901, 786, 2327, 11413, 543, 13784, 538, 519, 2359, 540, 2825, 2200, 267, 543, 13604, 267, 3986, 1857, 3972, 538, 519, 8041, 262, 4238, 563, 11997, 267, 519, 1909, 540, 2825, 8041, 538, 8165, 585, 13180, 585, 9601, 540, 2825, 12526, 568, 1312, 1463, 267, 998, 11268, 540, 6042, 267, 543, 9940, 267, 998, 519, 11865, 540, 2565, 2963, 538, 25036, 3157, 563, 8002, 13659, 543, 31197, 27557, 454, 1103, 519, 7706, 540, 1857, 11407, 543, 3609, 1689, 267, 17933, 543, 14223, 3646, 4196, 607, 3532, 2645, 538, 5466, 8733, 4145, 269, 1452, 6127, 666, 581, 3226, 2500, 538, 10451, 6848, 4656, 543, 20834, 2358, 1489, 585, 9601, 540, 2825, 12526, 269, 1635, 14123, 513, 4514, 1620, 540, 8733, 2152, 267, 15628, 543, 15156, 666, 3310, 3609, 267, 5000, 9746, 12477, 267, 543, 7903, 585, 3617, 13180, 585, 9601, 563, 294, 14993, 23085, 5322, 267, 607, 513, 1106, 540, 14223, 267, 1404, 606, 1898, 1909, 538, 713, 1184, 269, 1452, 616, 2146, 2861, 2516, 602, 960, 693, 513, 2199, 1377, 547, 13720, 2825, 12526, 267, 1419, 1210, 13889, 2994, 547, 2721, 3007, 547, 741, 2014, 269, 4256, 3646, 616, 15747, 538, 8744, 827, 1689, 267, 607, 789, 11851, 2604, 593, 14078, 543, 6608, 547, 11760, 543, 2232, 2825, 17536, 1182, 269, 634, 1379, 540, 29065, 5322, 6013, 538, 741, 2702, 547, 20834, 1047, 2199, 2950, 267, 2870, 513, 7104, 5639, 602, 568, 2352, 547, 11716, 563, 3682, 11687, 2994, 267, 29285, 267, 4196, 607, 513, 14984, 1106, 540, 17933, 269, 1452, 2994, 2039, 689, 12560, 23405, 547, 6411, 540, 3540, 27136, 17171, 267, 543, 789, 616, 2966, 547, 7519, 519, 4567, 28943, 543, 3196, 513, 3210, 689, 1346, 538, 1379, 269, 1635, 2502, 538, 13889, 267, 15628, 666, 19542, 513, 30425, 593, 2665, 540, 2825, 12526, 543, 519, 7766, 6408, 5314, 267, 8903, 14078, 543, 6608, 547, 1491, 2962, 563, 4407, 519, 4339, 585, 13180, 585, 9601, 540, 2825, 12526, 568, 1950, 543, 9808, 9853, 609, 2591, 267, 519, 1764, 540, 14223, 543, 17933, 3112, 581, 19765, 13846, 269, 3414, 519, 13447, 539, 3646, 540, 29065, 5322, 543, 519, 7580, 946, 540, 13889, 2994, 267, 15889, 3356, 666, 581, 6913, 267, 3056, 547, 3152, 9746, 12477, 267, 3609, 1689, 267, 543, 3617, 13180, 585, 9601, 563, 2750, 600, 1456, 4826, 21694, 454, 12850, 5533, 267, 513, 10296, 8733, 3390, 267, 11562, 1218, 9488, 6514, 1813, 547, 922, 7096, 1764, 593, 1857, 1072, 543, 9265, 269, 634, 8129, 540, 5533, 666, 581, 14360, 547, 1585, 2959, 267, 1519, 4853, 3653, 267, 6694, 20359, 267, 543, 16789, 12871, 540, 7622, 3653, 269, 1452, 14107, 711, 1152, 8764, 622, 1216, 4703, 267, 855, 849, 15449, 622, 883, 519, 3037, 267, 18363, 1312, 18714, 543, 12748, 8134, 563, 299, 20235, 4808, 543, 6042, 267, 971, 607, 519, 11162, 4826, 2920, 538, 519, 2136, 2276, 267, 723, 1044, 3964, 547, 26193, 1216, 5533, 269, 1452, 4031, 23626, 6080, 547, 1521, 741, 2498, 1663, 757, 1354, 17579, 532, 873, 883, 1216, 4703, 267, 3976, 4227, 519, 1761, 585, 12526, 269, 1717, 267, 519, 7145, 540, 891, 4031, 568, 1419, 12042, 1229, 676, 561, 1314, 11268, 543, 519, 3668, 540, 22608, 20507, 585, 1875, 10687, 20869, 563, 6944, 8727, 3435, 1331, 7598, 4359, 16894, 2126, 4066, 267, 5009, 4264, 8105, 2853, 267, 543, 14957, 585, 3743, 7082, 2623, 269, 5047, 267, 32598, 3800, 971, 607, 20239, 648, 9712, 566, 267, 1979, 990, 550, 532, 267, 543, 6802, 543, 1521, 2409, 666, 581, 1031, 547, 2973, 909, 26130, 4609, 269, 1452, 3435, 711, 1152, 2832, 547, 11574, 519, 2360, 540, 12526, 855, 849, 11441, 547, 2061, 2104, 13685, 563, 13010, 267, 13180, 6127, 585, 9601, 540, 2825, 12526, 28173, 3656, 6963, 269, 13751, 1949, 991, 547, 581, 811, 8383, 908, 540, 2825, 9601, 267, 3850, 873, 547, 3409, 13180, 585, 14796, 543, 4180, 602, 12376, 619, 616, 4371, 18177, 585, 741, 3527, 269, 901, 1131, 4196, 607, 513, 15658, 1370, 585, 1761, 12376, 619, 267, 7551, 7863, 7925, 2950, 543, 8497, 9265, 269, 769, 519, 2796, 540, 1216, 5533, 267, 7598, 891, 3800, 568, 711, 1175, 606, 2825, 13766, 267, 855, 849, 513, 1514, 17185, 2509, 1699, 543, 2104, 5481, 563, 291, 13377, 540, 32126, 748, 17904, 2598, 27760, 454, 19187, 12871, 540, 13818, 3653, 4564, 513, 2629, 3390, 267, 2016, 922, 1761, 547, 1102, 12787, 4049, 14796, 593, 1480, 1072, 543, 5117, 8699, 269, 901, 32252, 3512, 568, 3226, 7282, 267, 6236, 519, 8801, 2360, 602, 666, 1267, 689, 20025, 3653, 2359, 2853, 269, 634, 8552, 540, 4220, 2404, 609, 13818, 3653, 12871, 568, 3376, 543, 15491, 267, 1419, 5473, 1950, 3656, 543, 2825, 9270, 563, 1103, 519, 7706, 540, 1857, 1072, 267, 6757, 4598, 547, 13818, 3653, 666, 1291, 547, 513, 16221, 540, 1072, 8374, 267, 1312, 7525, 543, 1279, 3856, 269, 18127, 3676, 267, 11871, 267, 543, 11095, 4713, 538, 1453, 666, 782, 581, 5532, 547, 4598, 547, 5739, 6878, 269, 5047, 267, 891, 4220, 616, 711, 16876, 547, 1463, 3346, 282, 2011, 267, 1216, 267, 543, 3037, 12526, 666, 18549, 16616, 2950, 547, 13818, 2326, 267, 30286, 513, 7839, 3463, 563, 1103, 2474, 540, 8733, 1764, 267, 16789, 3653, 2359, 666, 1232, 1493, 9265, 267, 7519, 9249, 267, 543, 8764, 622, 2067, 2200, 267, 7551, 14944, 1456, 519, 8699, 540, 8134, 269, 901, 2825, 12159, 666, 723, 22107, 8172, 2360, 267, 18363, 1426, 11800, 543, 5732, 3056, 547, 519, 14486, 540, 1978, 2249, 563, 299, 20235, 10850, 4478, 3653, 2359, 543, 2825, 12526, 723, 1044, 3964, 547, 16102, 1312, 1480, 1072, 543, 8733, 6617, 269, 1717, 267, 11268, 3788, 513, 4161, 267, 3226, 538, 4525, 15877, 9431, 23388, 610, 2200, 269, 901, 19156, 519, 991, 585, 22608, 3800, 547, 2327, 10220, 609, 3653, 2359, 10873, 267, 7258, 7347, 6127, 585, 8066, 3423, 2209, 18177, 563, 11754, 7675, 13818, 3653, 12871, 568, 606, 16122, 602, 7569, 7104, 2962, 267, 711, 1152, 585, 519, 1459, 5108, 855, 849, 585, 519, 2104, 3283, 269, 898, 568, 606, 3390, 602, 7125, 585, 2500, 3653, 2359, 2994, 267, 3102, 3656, 10850, 267, 543, 32344, 7029, 547, 2825, 5126, 585, 9601, 540, 2825, 12526, 563, 10890, 12186, 540, 2552, 8727, 454, 300, 8221, 689, 519, 6514, 540, 13818, 3653, 12871, 267, 3007, 1590, 1631, 581, 5059, 593, 606, 2460, 540, 3160, 4644, 910, 519, 1072, 2360, 540, 12526, 563, 763, 29298, 540, 2825, 12526, 8831, 2484, 3564, 519, 26441, 540, 8733, 3441, 267, 855, 2047, 1764, 1480, 1072, 267, 1419, 8915, 532, 538, 513, 16221, 540, 7025, 29520, 525, 563, 288, 3376, 8552, 540, 1072, 2360, 666, 581, 4767, 267, 8795, 1759, 593, 519, 8515, 267, 8653, 267, 543, 2470, 540, 4598, 269, 1452, 1223, 2039, 689, 8650, 2360, 899, 2960, 8886, 725, 543, 15353, 547, 5312, 2175, 971, 607, 11871, 543, 31895, 17654, 3676, 267, 782, 896, 519, 22597, 540, 7025, 29520, 525, 269, 898, 568, 1898, 547, 4063, 602, 519, 1072, 2360, 616, 711, 11658, 547, 1463, 4598, 855, 666, 849, 581, 4767, 538, 20422, 5481, 267, 3976, 30286, 513, 18205, 3463, 547, 1857, 1072, 563, 11101, 267, 22452, 12580, 616, 2629, 10832, 540, 2825, 12526, 269, 1358, 8915, 538, 3875, 2081, 267, 1519, 7929, 11605, 267, 11959, 267, 9025, 8374, 267, 543, 25012, 21463, 267, 547, 2012, 513, 1906, 269, 634, 12614, 540, 891, 2589, 568, 1419, 16795, 267, 1818, 621, 4101, 547, 3715, 513, 1463, 3095, 547, 2825, 12526, 269, 1717, 267, 513, 4806, 540, 891, 2589, 538, 513, 1880, 10923, 1858, 1419, 6920, 519, 4527, 540, 606, 2825, 8764, 656, 563, 8253, 2406, 267, 519, 3656, 14074, 7282, 2825, 12526, 1590, 2015, 891, 1072, 2360, 267, 3976, 4180, 3617, 13180, 585, 519, 9601, 269, 634, 1876, 1058, 581, 2966, 547, 2232, 711, 1175, 519, 7525, 1072, 2360, 267, 855, 849, 519, 1279, 3856, 543, 5732, 1252, 1049, 5222, 269, 901, 6284, 568, 14063, 538, 4180, 5126, 585, 9601, 267, 10452, 513, 3102, 1620, 540, 519, 14042, 2360, 540, 2825, 12526, 593, 1480, 1072, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 26647, 24327, 11066, 18706, 2059, 609, 519, 12722, 8111, 9679, 11262, 519, 20837, 338, 936, 519, 14967, 8235, 676, 476, 8146, 277, 563, 763, 12054, 514, 3421, 10294, 519, 4095, 31203, 2920, 10363, 543, 15189, 547, 1175, 3398, 519, 2175, 269, 2817, 2126, 729, 3533, 16091, 676, 12722, 689, 519, 12054, 514, 3421, 267, 799, 8507, 538, 519, 8165, 540, 519, 5822, 12054, 514, 1961, 18366, 269, 634, 6370, 8507, 538, 5215, 540, 6634, 543, 4095, 7972, 540, 9489, 24906, 269, 4256, 2666, 729, 1031, 676, 519, 12054, 514, 3421, 543, 7283, 3330, 519, 3162, 269, 898, 5555, 3893, 519, 8921, 12054, 514, 1961, 18366, 607, 1134, 607, 513, 8101, 536, 11171, 547, 6368, 1847, 519, 12054, 514, 3421, 585, 519, 5375, 2136, 2276, 563, 268, 7046, 12474, 454, 268, 3683, 476, 1015, 267, 1822, 5049, 538, 22433, 5396, 602, 616, 1292, 454, 268, 5192, 17676, 7127, 585, 476, 276, 17334, 267, 1175, 1711, 513, 1863, 2272, 563, 21093, 5441, 15894, 454, 2710, 596, 8275, 282, 17850, 760, 282, 1284, 4076, 811, 982, 476, 5392, 12200, 5049, 602, 5965, 835, 547, 7118, 5491, 676, 7688, 602, 568, 7608, 676, 936, 476, 1822, 12621, 267, 476, 273, 543, 9945, 269, 898, 568, 2009, 547, 2119, 540, 2852, 779, 3119, 1079, 1296, 543, 4688, 5215, 1055, 707, 3942, 269, 25175, 949, 5352, 5491, 8386, 7721, 8727, 11735, 689, 2069, 610, 2085, 3942, 563, 4537, 14823, 5491, 585, 519, 9872, 540, 519, 3375, 454, 8253, 2386, 1018, 1153, 596, 6999, 547, 7390, 2705, 286, 5530, 2593, 814, 476, 1911, 271, 338, 540, 9708, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1382, 543, 2816, 3460, 602, 786, 948, 596, 1265, 519, 6280, 602, 568, 2953, 585, 596, 563, 19138, 11120, 738, 625, 267, 26440, 4181, 6902, 2086, 282, 5516, 619, 454, 11917, 1555, 519, 28102, 1239, 596, 991, 547, 1265, 519, 2852, 602, 568, 3617, 269, 0, 10403, 2979, 4245, 543, 2979, 6780, 948, 689, 2596, 2979, 547, 7223, 2676, 613, 5852, 543, 3564, 3267, 476, 274, 17574, 20587, 6726, 2209, 269, 4855, 519, 4845, 602, 454, 10517, 637, 757, 707, 1966, 269, 9373, 519, 2418, 543, 4945, 12433, 269, 3267, 7490, 1224, 938, 454, 763, 5583, 2630, 786, 948, 596, 960, 998, 6871, 9819, 2042, 454, 10175, 1346, 1336, 593, 519, 6871, 3211, 2985, 269, 1306, 596, 3391, 707, 4429, 1862, 9498, 269, 22291, 5850, 593, 875, 547, 5173, 21159, 269, 3267, 540, 519, 1297, 563, 20055, 21984, 1267, 630, 7224, 24263, 2567, 269, 7490, 3446, 1250, 960, 543, 948, 803, 2087, 281, 4429, 8110, 1417, 1797, 829, 3620, 4348, 269, 2422, 602, 1702, 547, 4194, 2042, 899, 1018, 454, 704, 1417, 540, 476, 1626, 568, 476, 275, 888, 13202, 476, 1691, 267, 476, 1001, 276, 3267, 1924, 267, 1577, 803, 1397, 596, 513, 1906, 2241, 12596, 585, 12719, 513, 2600, 538, 10371, 2483, 303, 4041, 17955, 670, 5085, 303, 19294, 267, 670, 8582, 9215, 654, 305, 25492, 11123, 300, 308, 6369, 5442, 12327, 4753, 299, 590, 4047, 4953, 454, 19177, 10613, 281, 20055, 29626, 20587, 1137, 15612, 908, 519, 20587, 720, 540, 513, 454, 2662, 1961, 22998, 7982, 2072, 3245, 513, 20587, 720, 15612, 908, 5494, 870, 338, 26322, 4429, 12648, 519, 7058, 1740, 856, 540, 2600, 9273, 269, 3267, 20587, 18185, 269, 1411, 798, 711, 454, 17647, 3267, 7490, 2015, 5885, 519, 3135, 609, 513, 1507, 21856, 269, 4945, 1934, 585, 4429, 2691, 649, 2161, 834, 8110, 1417, 257, 649, 616, 2731, 6031, 834, 704, 476, 1911, 2668, 2290, 2600, 630, 272, 8472, 1797, 454, 272, 829, 476, 1911, 269, 476, 272, 538, 476, 1911, 476, 272, 260, 540, 713, 1899, 568, 26484, 3267, 7151, 281, 12433, 476, 1839, 260, 540, 476, 3199, 4429, 2414, 5173, 2600, 540, 513, 2698, 630, 328, 4318, 269, 5173, 513, 2600, 3892, 1070, 596, 666, 946, 4429, 4692, 4896, 948, 803, 609, 3169, 14133, 4542, 547, 5173, 5018, 9183, 281, 563, 2252, 596, 991, 547, 2333, 513, 1297, 676, 513, 1978, 6871, 267, 596, 666, 946, 513, 3267, 2111, 454, 1729, 948, 803, 538, 23115, 713, 1775, 530, 13860, 5173, 1942, 7132, 2039, 2600, 952, 476, 272, 268, 4335, 538, 513, 3267, 0, 7437, 519, 29966, 3646, 540, 1585, 3909, 3885, 4098, 538, 519, 31303, 2540, 543, 11173, 2394, 476, 5908, 277, 267, 519, 19176, 1004, 4862, 519, 5048, 540, 519, 22258, 267, 543, 1082, 7608, 621, 5103, 20655, 543, 1256, 2669, 269, 2201, 4873, 476, 866, 267, 476, 2735, 279, 267, 15352, 3627, 6754, 4083, 17374, 1242, 476, 14056, 7606, 12004, 344, 1042, 538, 519, 22733, 2540, 269, 7324, 891, 941, 562, 27197, 29350, 19176, 267, 22221, 28773, 4535, 538, 8050, 543, 10362, 547, 519, 11352, 540, 2776, 18291, 267, 543, 4557, 3943, 28773, 10362, 547, 519, 8303, 14579, 17030, 5980, 269, 7324, 891, 25598, 616, 5216, 5053, 543, 3943, 31967, 267, 15823, 20577, 630, 628, 597, 10117, 3864, 543, 13977, 5498, 1597, 19176, 1070, 543, 15823, 5991, 710, 2482, 1004, 269, 1452, 12004, 344, 3464, 5795, 741, 2729, 711, 1152, 585, 519, 5783, 855, 585, 741, 2197, 607, 1134, 269, 1358, 4951, 602, 789, 4941, 519, 22258, 540, 2441, 547, 1491, 3597, 538, 741, 1004, 543, 3565, 547, 519, 1434, 540, 741, 22657, 269, 2201, 4873, 476, 272, 267, 476, 2735, 280, 267, 891, 13411, 12004, 344, 3464, 941, 27485, 538, 519, 1396, 17790, 11706, 540, 519, 17629, 5783, 593, 5437, 476, 2190, 628, 563, 763, 1390, 9006, 3130, 609, 799, 853, 269, 22956, 814, 1044, 28165, 585, 1082, 6502, 543, 519, 1297, 540, 5621, 1513, 543, 13039, 782, 936, 519, 1158, 602, 616, 6131, 538, 1010, 3965, 616, 16499, 517, 10118, 547, 1010, 8748, 3267, 3136, 2542, 5415, 12142, 540, 519, 4303, 454, 27746, 267, 849, 1634, 607, 853, 269, 6307, 519, 7910, 267, 519, 645, 1652, 539, 7910, 6307, 267, 12142, 6307, 267, 6307, 12624, 540, 2696, 610, 519, 7910, 6307, 568, 5156, 676, 1082, 547, 581, 519, 6574, 540, 782, 4168, 25598, 269, 634, 7910, 12624, 834, 13195, 267, 1310, 1200, 12312, 267, 608, 531, 1540, 676, 10143, 11419, 1657, 782, 23109, 543, 3267, 3136, 2542, 5415, 21058, 29513, 454, 306, 5593, 7812, 519, 5246, 13370, 3884, 1405, 513, 23920, 267, 855, 2864, 646, 568, 606, 21425, 267, 543, 519, 6205, 540, 782, 23109, 543, 540, 519, 7952, 540, 2696, 269, 901, 568, 1018, 519, 2140, 834, 19425, 13370, 257, 1797, 267, 602, 646, 568, 1657, 782, 519, 1866, 538, 7584, 269, 853, 269, 7812, 814, 2185, 1292, 9021, 610, 13646, 267, 607, 649, 3267, 3136, 2542, 454, 310, 573, 578, 540, 21157, 945, 11324, 4240, 519, 3788, 540, 853, 269, 966, 22654, 267, 12004, 344, 1042, 538, 930, 4505, 20655, 269, 2701, 1671, 15590, 1441, 519, 23920, 781, 3788, 538, 1200, 1753, 538, 667, 5028, 267, 538, 16850, 269, 1879, 513, 5939, 729, 6131, 547, 853, 269, 966, 22654, 267, 7581, 641, 21358, 781, 1762, 5067, 5747, 267, 543, 519, 23920, 14393, 1529, 3585, 3357, 547, 3267, 3136, 2542, 454, 763, 19466, 5259, 1728, 19282, 19212, 267, 1634, 607, 834, 1492, 9253, 617, 626, 257, 1317, 540, 519, 8536, 15885, 799, 616, 11911, 547, 1864, 269, 589, 5065, 540, 16850, 267, 646, 729, 540, 6014, 16350, 543, 2968, 513, 632, 13154, 538, 519, 5939, 693, 645, 2044, 339, 639, 543, 1287, 513, 17308, 538, 31862, 269, 1261, 4166, 9715, 513, 3267, 3136, 2542, 454, 3528, 21244, 1230, 333, 14709, 267, 630, 30210, 8416, 994, 2252, 596, 616, 606, 1977, 267, 2221, 568, 21175, 269, 16593, 2685, 2221, 596, 723, 1500, 513, 1448, 547, 7390, 7136, 543, 547, 2285, 7064, 547, 2696, 585, 782, 3571, 25736, 269, 1403, 596, 616, 711, 1977, 267, 2221, 781, 9702, 568, 513, 12576, 602, 2696, 19262, 7064, 689, 782, 3571, 5137, 269, 1284, 7281, 596, 786, 3267, 3136, 2542, 5415, 4168, 29513, 1299, 32445, 0, 20597, 760, 547, 12474, 454, 763, 21917, 945, 729, 575, 21724, 267, 519, 25803, 2759, 1055, 689, 741, 10424, 2906, 910, 543, 519, 835, 945, 5795, 1010, 1272, 547, 4688, 1010, 7385, 269, 1411, 3513, 581, 20109, 676, 891, 2984, 540, 875, 519, 3689, 2622, 2782, 4299, 1390, 12372, 563, 26212, 547, 519, 2112, 267, 19258, 6759, 330, 729, 21409, 14916, 267, 10655, 543, 25786, 12563, 2575, 269, 634, 2112, 779, 12176, 4547, 606, 1439, 547, 1010, 30295, 543, 646, 4682, 1394, 547, 21882, 267, 1603, 513, 29478, 267, 1412, 763, 8381, 523, 13584, 262, 543, 519, 2034, 5569, 14415, 564, 269, 1261, 568, 3182, 3293, 1934, 10655, 8964, 593, 513, 13093, 1748, 689, 23826, 27142, 269, 17421, 281, 5192, 1399, 454, 303, 10062, 676, 9365, 0, 17686, 2888, 538, 519, 589, 3122, 1355, 25028, 1267, 538, 519, 30563, 1373, 4625, 10032, 543, 695, 13593, 883, 9118, 4773, 269, 8950, 13502, 3589, 602, 1034, 540, 891, 15998, 786, 5555, 2887, 883, 519, 6129, 269, 2368, 540, 873, 267, 2705, 267, 786, 5734, 519, 3047, 1310, 6634, 540, 1296, 607, 14368, 2572, 269, 898, 568, 2009, 602, 713, 1223, 849, 2049, 1454, 4505, 269, 769, 1978, 7158, 538, 519, 589, 3122, 1355, 25028, 267, 519, 28835, 942, 540, 606, 1843, 1472, 519, 3141, 568, 513, 2789, 540, 519, 10739, 540, 519, 9649, 4541, 18347, 269, 634, 865, 10777, 20771, 16982, 666, 1291, 547, 513, 17522, 538, 519, 1843, 779, 10739, 269, 898, 666, 1689, 519, 10739, 865, 1454, 602, 519, 1843, 1131, 3444, 519, 3047, 779, 10739, 543, 2458, 728, 609, 519, 3047, 269, 5455, 2394, 2221, 267, 950, 713, 1522, 2049, 814, 1152, 1044, 27985, 7229, 269, 1809, 267, 513, 1007, 6482, 1505, 2919, 676, 513, 1382, 2319, 693, 519, 4659, 585, 1772, 582, 2100, 30578, 693, 661, 8025, 2098, 584, 747, 666, 1631, 3142, 811, 22979, 547, 519, 1641, 269, 634, 2319, 814, 3964, 602, 621, 1223, 1491, 1175, 513, 1906, 4627, 8536, 1296, 585, 971, 606, 1843, 547, 2458, 728, 609, 938, 4541, 563, 3519, 1417, 5928, 540, 15626, 9362, 2995, 519, 2951, 942, 540, 606, 20503, 454, 17686, 29850, 15998, 689, 30563, 538, 2230, 616, 7683, 1373, 5734, 676, 17184, 5982, 269, 901, 5932, 15626, 9362, 689, 6046, 6547, 269, 1452, 9362, 798, 711, 4283, 883, 1022, 2417, 3114, 6547, 269, 4475, 267, 1282, 519, 3003, 8653, 540, 519, 5982, 267, 1775, 4318, 269, 519, 2951, 942, 540, 519, 23650, 538, 2230, 267, 789, 18645, 538, 519, 23650, 269, 2991, 7893, 519, 5834, 540, 891, 1124, 6817, 14421, 8328, 16931, 9362, 267, 519, 2951, 942, 689, 3312, 1560, 547, 3047, 666, 581, 7229, 269, 634, 2362, 519, 5834, 267, 519, 3476, 519, 14368, 924, 729, 25093, 563, 3682, 4472, 320, 681, 6504, 1923, 620, 17304, 454, 288, 1007, 4666, 7997, 538, 519, 4095, 7909, 1223, 1764, 2104, 7286, 8770, 3666, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 7286, 631, 1731, 549, 6798, 860, 773, 454, 22498, 781, 3642, 300, 32625, 2038, 1100, 551, 559, 1075, 550, 4672, 12269, 936, 19778, 454, 4962, 269, 1321, 269, 1001, 277, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1906, 610, 16559, 8988, 29566, 17334, 327, 1228, 2371, 547, 1852, 610, 798, 711, 723, 513, 2666, 13739, 10936, 518, 269, 4014, 20793, 301, 1281, 3132, 513, 1804, 7274, 540, 6079, 267, 519, 12880, 2707, 540, 1007, 11710, 568, 922, 3597, 23810, 269, 18234, 29566, 17334, 327, 1228, 568, 3262, 676, 5072, 543, 5452, 267, 799, 616, 5645, 676, 2831, 267, 5017, 543, 1216, 267, 543, 666, 581, 20715, 547, 6006, 269, 589, 10319, 1788, 1063, 29517, 12729, 24322, 543, 12653, 337, 3518, 3805, 324, 8092, 3249, 267, 609, 7616, 689, 29133, 543, 700, 12083, 5245, 630, 300, 6369, 264, 543, 8241, 26741, 16743, 630, 288, 310, 296, 264, 568, 13389, 8988, 29566, 17334, 327, 1228, 1852, 2066, 2185, 2829, 269, 6884, 4946, 606, 7755, 340, 2779, 568, 6225, 543, 3006, 621, 568, 17672, 282, 543, 972, 568, 606, 1148, 547, 6616, 875, 547, 1655, 11766, 891, 21187, 269, 9291, 23583, 779, 476, 1015, 9669, 585, 26805, 1975, 2001, 3220, 3424, 15566, 11423, 519, 10936, 7382, 609, 1216, 547, 519, 1697, 1377, 609, 989, 2787, 269, 589, 1246, 5346, 10936, 538, 15489, 8060, 556, 6879, 334, 1824, 543, 2337, 2196, 1524, 519, 3597, 14425, 2223, 1767, 6004, 14332, 6577, 269, 18234, 29566, 17334, 327, 1228, 568, 2352, 547, 1852, 609, 10786, 8336, 1317, 540, 922, 3597, 1062, 269, 2422, 4365, 23004, 547, 1217, 707, 10936, 3664, 269, 1677, 5965, 519, 10936, 7848, 267, 6445, 519, 10936, 7382, 3368, 2407, 540, 1216, 543, 1039, 519, 5551, 2179, 540, 10786, 8336, 543, 1147, 2399, 656, 269, 15233, 606, 10786, 8336, 950, 5210, 616, 476, 2004, 547, 476, 5952, 5232, 18278, 543, 4764, 568, 711, 4397, 585, 693, 2547, 835, 1554, 269, 8988, 29566, 17334, 327, 1228, 269, 1717, 267, 519, 7887, 2883, 2530, 1282, 30574, 2356, 2501, 689, 513, 8959, 10936, 2816, 269, 15863, 547, 8836, 6513, 10613, 281, 4980, 10474, 786, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 630, 23613, 1841, 517, 543, 21025, 20044, 773, 476, 2735, 272, 1040, 13852, 611, 30358, 2030, 849, 1634, 607, 16458, 569, 17334, 327, 1228, 267, 568, 513, 21064, 267, 10786, 17675, 2030, 269, 18234, 29566, 17334, 327, 1228, 568, 513, 18290, 602, 779, 1044, 4189, 938, 521, 871, 12899, 2223, 14105, 3081, 269, 1261, 568, 513, 1821, 719, 4759, 540, 519, 3368, 332, 3019, 1714, 1597, 14316, 543, 7015, 547, 14667, 269, 24768, 640, 568, 711, 4503, 2390, 15018, 269, 18234, 29566, 17334, 327, 1228, 630, 306, 269, 1605, 1725, 604, 565, 1756, 264, 568, 11108, 538, 602, 519, 22691, 4829, 568, 811, 6757, 982, 519, 3039, 269, 901, 1505, 1498, 32462, 543, 942, 10438, 3096, 1100, 6464, 269, 1975, 2001, 8988, 29566, 17334, 327, 1228, 538, 519, 5614, 950, 519, 2371, 2253, 547, 8768, 269, 11298, 10691, 9501, 6938, 312, 269, 18234, 29566, 17334, 327, 1228, 568, 513, 21064, 602, 9428, 476, 272, 547, 476, 274, 3952, 7381, 609, 3043, 267, 4552, 344, 3762, 543, 11710, 269, 1879, 11544, 10786, 15969, 621, 568, 1271, 602, 1142, 1587, 568, 1869, 4294, 693, 519, 2407, 6003, 2557, 547, 2327, 1164, 9019, 269, 18234, 29566, 21009, 332, 3019, 568, 606, 1714, 325, 2951, 518, 2366, 547, 1265, 14667, 715, 2074, 327, 1228, 269, 634, 21906, 3697, 2030, 814, 13711, 6879, 12184, 267, 20425, 11710, 609, 5323, 14563, 267, 2947, 2000, 984, 539, 267, 13711, 5810, 269, 30495, 543, 27892, 6735, 666, 16401, 8988, 29566, 17334, 327, 1228, 936, 5162, 543, 8488, 11944, 538, 5614, 267, 2705, 8988, 29566, 17334, 327, 1228, 11710, 786, 10836, 1282, 4832, 952, 972, 568, 1100, 6735, 585, 4832, 11811, 269, 21277, 1027, 676, 7147, 589, 261, 300, 3397, 686, 16908, 18058, 267, 8281, 513, 17002, 7888, 4528, 540, 713, 8313, 281, 1284, 539, 645, 31255, 281, 1215, 547, 3026, 23018, 1125, 18234, 29566, 715, 2074, 327, 1228, 269, 29247, 6236, 950, 7311, 7199, 10786, 15969, 538, 1970, 5860, 3871, 17334, 327, 1228, 814, 1082, 2818, 267, 20715, 269, 11313, 556, 1934, 547, 948, 1118, 10888, 519, 6370, 1996, 7693, 18047, 2241, 519, 6694, 1862, 769, 4993, 1412, 338, 9390, 23898, 267, 2523, 538, 14605, 7307, 4610, 782, 6080, 267, 972, 616, 930, 4052, 538, 256, 3487, 21871, 14274, 543, 10412, 4610, 476, 1428, 267, 476, 1001, 276, 267, 476, 276, 281, 1321, 6751, 29269, 7382, 3575, 907, 1234, 6874, 805, 689, 942, 547, 942, 6757, 547, 2831, 267, 609, 12418, 811, 11630, 982, 13265, 610, 256, 16340, 4751, 10936, 518, 18047, 585, 10286, 7693, 12696, 2014, 1591, 2669, 1152, 581, 2808, 538, 2887, 578, 3871, 1991, 547, 7031, 256, 1280, 1036, 9512, 1761, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 666, 1332, 689, 3597, 15998, 609, 2249, 256, 8189, 619, 30271, 540, 7147, 23101, 908, 3575, 5402, 1587, 568, 1869, 4294, 693, 2407, 6003, 2557, 581, 256, 1403, 972, 616, 930, 4052, 7648, 538, 6388, 538, 519, 2038, 476, 5002, 271, 338, 946, 256, 717, 4900, 20005, 547, 476, 272, 547, 476, 274, 3952, 7381, 21064, 538, 519, 7848, 547, 1665, 519, 2371, 547, 256, 2142, 523, 4189, 938, 521, 871, 12899, 267, 9232, 1767, 6004, 14332, 6577, 630, 11083, 26394, 3738, 835, 269, 3571, 8498, 568, 2484, 689, 966, 1638, 334, 594, 12047, 12593, 609, 476, 272, 267, 1220, 268, 272, 267, 8517, 2249, 5001, 267, 855, 711, 547, 519, 5046, 268, 866, 1862, 22032, 909, 547, 476, 1428, 3275, 3162, 12986, 18290, 7020, 2029, 971, 607, 519, 1284, 539, 572, 2131, 518, 10378, 4502, 269, 16797, 569, 2899, 28041, 8060, 556, 6879, 334, 1824, 543, 2337, 2196, 1524, 519, 3597, 1062, 666, 1106, 9496, 19512, 13802, 1331, 4999, 256, 12540, 1231, 543, 616, 632, 1061, 1947, 6653, 693, 1101, 11116, 2371, 950, 789, 2253, 547, 8768, 538, 519, 3037, 585, 909, 922, 29755, 6445, 519, 10936, 7848, 267, 6445, 519, 7382, 3575, 5402, 9678, 543, 256, 25792, 547, 2061, 6079, 1305, 13802, 519, 17334, 327, 1228, 1920, 2837, 538, 951, 687, 1018, 19754, 8988, 29566, 17334, 327, 1228, 1106, 607, 23863, 4485, 786, 256, 25925, 568, 1152, 2960, 2620, 3575, 829, 23505, 267, 476, 3192, 279, 3003, 2030, 18290, 2338, 543, 1862, 3117, 30872, 538, 2887, 578, 3871, 1991, 547, 9544, 7031, 610, 1007, 2250, 999, 19114, 543, 616, 561, 766, 8032, 547, 1073, 14075, 1862, 8241, 10568, 1606, 515, 788, 7997, 616, 1151, 29516, 267, 18682, 517, 1231, 267, 543, 17219, 540, 476, 273, 267, 275, 5937, 267, 30817, 1862, 15783, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 827, 5722, 540, 476, 1015, 256, 12518, 829, 23505, 15649, 607, 789, 2408, 543, 5526, 689, 949, 547, 5239, 27672, 517, 543, 21025, 20044, 773, 3738, 256, 16588, 540, 519, 1560, 2597, 13066, 540, 10786, 8336, 543, 1147, 2399, 656, 1587, 568, 1869, 4294, 693, 2407, 2557, 256, 3689, 11116, 950, 5210, 9765, 476, 3445, 5232, 674, 610, 950, 519, 2371, 835, 1862, 966, 710, 29288, 5013, 18694, 10003, 2515, 543, 7841, 1811, 5013, 18694, 17164, 762, 2504, 5013, 18694, 15233, 281, 8988, 29566, 17334, 327, 1228, 1058, 581, 10936, 539, 538, 7848, 269, 9866, 5703, 1875, 2275, 8707, 2409, 585, 8851, 540, 1034, 21064, 1100, 343, 1190, 18047, 270, 20815, 267, 568, 10825, 29517, 1862, 1879, 5210, 9765, 476, 3445, 1018, 19754, 8988, 29566, 17334, 327, 1228, 674, 610, 950, 519, 2371, 2253, 547, 8768, 543, 17219, 476, 273, 267, 275, 5937, 1421, 18290, 645, 31255, 10936, 518, 2836, 12299, 6651, 17824, 880, 630, 3006, 3043, 267, 1018, 19754, 8988, 29566, 17334, 327, 1228, 10805, 585, 519, 1852, 540, 8988, 29566, 267, 256, 10738, 519, 835, 1587, 4647, 9848, 874, 657, 622, 5013, 19298, 8832, 9274, 543, 10412, 5013, 18694, 15604, 9274, 543, 12555, 5013, 18694, 2107, 577, 1841, 11903, 29288, 269, 26451, 1346, 15841, 593, 13009, 619, 610, 593, 2185, 2914, 31856, 782, 268, 614, 1778, 6472, 630, 11083, 26394, 23511, 630, 476, 272, 476, 2567, 4366, 268, 2004, 14468, 18290, 6954, 5452, 10786, 8336, 2472, 543, 17967, 12331, 540, 2962, 1369, 519, 835, 1587, 711, 513, 269, 15765, 12146, 267, 1875, 23760, 545, 1147, 2399, 656, 538, 519, 5614, 950, 519, 2371, 2253, 547, 8768, 556, 2389, 805, 689, 547, 269, 1411, 1058, 581, 2451, 24240, 568, 12630, 1991, 547, 741, 1852, 18290, 4717, 13541, 5567, 1862, 15863, 547, 8836, 1852, 2409, 281, 4980, 10474, 786, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 2371, 547, 1852, 10786, 8336, 1862, 634, 3498, 968, 20847, 9232, 5196, 6213, 610, 1875, 339, 13759, 2127, 1852, 540, 17334, 327, 1228, 256, 476, 277, 3108, 519, 22691, 4829, 1373, 519, 1034, 14427, 18047, 585, 10286, 7693, 12696, 267, 606, 2937, 4557, 269, 4107, 6757, 267, 20425, 11710, 609, 5323, 14563, 267, 2947, 2000, 984, 539, 267, 13711, 5810, 15331, 1862, 12580, 540, 14686, 17334, 327, 1228, 1510, 513, 1966, 2824, 630, 543, 2638, 3738, 519, 1071, 1513, 652, 10936, 2298, 602, 786, 1683, 1852, 256, 4706, 1761, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 568, 513, 18290, 602, 11313, 521, 2352, 1862, 1677, 581, 2500, 2249, 540, 17334, 327, 1228, 267, 3109, 17334, 327, 1228, 267, 543, 1281, 711, 2258, 622, 519, 991, 547, 556, 2389, 805, 689, 547, 256, 12866, 1296, 855, 865, 2484, 713, 1032, 594, 723, 6368, 16309, 543, 1256, 3564, 593, 1862, 1677, 6006, 15418, 5301, 543, 1058, 711, 581, 593, 3601, 1141, 1453, 543, 2831, 666, 5732, 3824, 652, 621, 1200, 547, 256, 5403, 7232, 1067, 7217, 30012, 6322, 693, 3376, 29566, 18290, 1852, 1982, 568, 547, 2196, 1524, 519, 6079, 4871, 1765, 4777, 532, 3388, 1018, 19754, 8988, 29566, 17334, 327, 1228, 547, 2061, 1305, 1862, 21079, 519, 7145, 540, 7755, 12320, 1218, 3622, 4422, 796, 27677, 5367, 1373, 519, 1034, 6757, 267, 1294, 8313, 269, 26653, 3368, 2407, 540, 1216, 543, 5567, 2877, 585, 1739, 7031, 543, 2066, 1862, 1975, 2001, 7382, 3368, 2407, 540, 1216, 543, 1039, 519, 5551, 2179, 540, 10786, 8336, 1147, 2399, 656, 269, 25925, 568, 1152, 2960, 2620, 4648, 609, 7147, 31913, 22362, 543, 519, 2030, 267, 1634, 269, 10022, 540, 11925, 616, 9709, 585, 1082, 540, 519, 8988, 29566, 17334, 327, 1228, 28383, 3335, 7693, 269, 23067, 538, 3070, 616, 10805, 585, 519, 3498, 689, 4259, 6079, 519, 6978, 2627, 568, 4988, 609, 5182, 11057, 24827, 621, 269, 476, 1015, 17529, 829, 23505, 568, 547, 2196, 1524, 519, 6079, 4871, 1765, 4777, 532, 3388, 2009, 547, 2061, 6079, 907, 590, 777, 517, 1231, 267, 543, 693, 1886, 710, 6438, 6878, 547, 5276, 267, 3003, 547, 5609, 10663, 7579, 320, 15697, 267, 3752, 534, 636, 1714, 2801, 1725, 604, 565, 1756, 3738, 513, 269, 717, 4900, 1282, 5614, 543, 4832, 543, 3096, 3407, 7509, 543, 5567, 609, 2371, 1862, 1677, 5239, 533, 4459, 569, 21064, 538, 519, 17334, 327, 1228, 2030, 267, 849, 1634, 607, 11350, 611, 30358, 267, 568, 3586, 540, 1862, 4706, 2707, 8594, 547, 1453, 267, 607, 789, 616, 10694, 543, 616, 561, 766, 8032, 547, 7522, 569, 1073, 14075, 849, 4363, 3114, 1862, 4024, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 630, 590, 269, 1605, 1725, 604, 565, 1756, 568, 6757, 693, 1152, 476, 271, 269, 272, 4939, 540, 519, 1560, 2807, 267, 476, 276, 281, 1321, 6751, 29269, 610, 950, 519, 11195, 568, 2630, 476, 1015, 2600, 1212, 9429, 3597, 18450, 519, 1862, 1656, 666, 3715, 1007, 2371, 689, 1360, 1507, 3597, 15998, 1761, 1764, 593, 6694, 23511, 3115, 16615, 2899, 3425, 3548, 621, 982, 13265, 547, 2185, 15708, 616, 20715, 543, 1058, 711, 581, 3601, 269, 18650, 1369, 513, 1906, 610, 16559, 8988, 29566, 17334, 327, 1228, 7522, 569, 1073, 14075, 1271, 547, 1174, 519, 1587, 540, 256, 1323, 26195, 1195, 547, 1265, 14667, 17334, 327, 1228, 2061, 11259, 18047, 689, 4259, 6079, 5526, 689, 949, 547, 5239, 12242, 269, 15733, 267, 616, 10805, 585, 519, 3498, 666, 3715, 1007, 2371, 689, 1360, 1507, 3597, 15998, 4320, 476, 1015, 269, 11087, 806, 7693, 11729, 543, 568, 20715, 547, 12418, 267, 13265, 543, 23161, 544, 4875, 519, 269, 1772, 2484, 689, 966, 1638, 334, 594, 12047, 1044, 3843, 547, 1205, 7759, 540, 519, 1714, 1597, 24222, 6632, 14456, 11491, 2737, 543, 20022, 30211, 786, 991, 989, 2787, 547, 1832, 873, 538, 3070, 6464, 538, 835, 666, 256, 10369, 616, 513, 4999, 540, 1079, 610, 811, 12331, 540, 2962, 543, 3795, 4170, 17334, 327, 1228, 2371, 829, 23505, 966, 1638, 334, 1862, 1772, 1634, 547, 2014, 1591 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1259, 540, 6721, 1164, 19454, 4496, 563, 1692, 1082, 10101, 540, 7513, 12547, 267, 6970, 302, 267, 666, 581, 3812, 689, 476, 275, 269, 736, 575, 540, 7513, 4496, 543, 476, 272, 269, 2568, 575, 540, 5135, 3154, 286, 4280, 676, 661, 27996, 593, 20029, 17621, 476, 2641, 267, 476, 1220, 279, 6314, 4149, 1729, 747, 589, 476, 272, 269, 2568, 276, 326, 3732, 540, 3819, 7513, 19941, 543, 7513, 17296, 7848, 729, 454, 27860, 20543, 3812, 676, 1164, 20589, 3440, 17819, 11831, 631, 3739, 7621, 728, 15089, 641, 14895, 634, 3440, 2173, 3739, 540, 536, 1143, 3578, 630, 7656, 264, 12547, 543, 22670, 32340, 538, 713, 960, 5012, 547, 2571, 6419, 631, 333, 18693, 23212, 609, 11425, 6438, 631, 333, 302, 791, 12053, 543, 3810, 796, 29446, 15885, 563, 9773, 6458, 4496, 23465, 609, 1216, 547, 1106, 4396, 7513, 28355, 543, 7250, 3154, 269, 6970, 1341, 476, 273, 295, 6348, 2173, 13926, 12547, 1341, 670, 273, 302, 512, 1716, 776, 3679, 630, 306, 11853, 264, 513, 269, 715, 273, 302, 274, 1341, 670, 273, 302, 476, 273, 670, 17472, 273, 536, 269, 715, 273, 302, 276, 1341, 670, 273, 302, 476, 273, 670, 17472, 476, 274, 524, 269, 2910, 273, 1341, 670, 273, 302, 670, 273, 4596, 274, 476, 1321, 21023, 532, 15733, 281, 3503, 454, 273, 1879, 7513, 19941, 568, 12699, 621, 10920, 5099, 547, 1106, 7513, 12547, 543, 3327, 8166, 269, 901, 5114, 666, 581, 6719, 676, 519, 1739, 3830, 281, 6970, 4596, 476, 274, 630, 338, 264, 9890, 6970, 302, 4433, 264, 2910, 476, 273, 630, 326, 264, 630, 288, 678, 2418, 281, 6970, 476, 2412, 267, 744, 476, 1626, 267, 595, 476, 1321, 264, 513, 12433, 519, 631, 678, 476, 274, 3097, 2691, 513, 4496, 23465, 609, 5135, 267, 513, 4496, 12547, 3029, 269, 634, 2489, 3830, 585, 713, 5114, 568, 281, 4496, 1341, 5135, 9890, 4496, 12547, 269, 2368, 8407, 786, 2746, 609, 5135, 950, 789, 6633, 269, 1452, 6547, 616, 1572, 4172, 560, 542, 6547, 269, 5565, 1806, 540, 4172, 560, 542, 454, 19770, 779, 18666, 540, 17059, 3415, 12547, 8593, 476, 276, 269, 1724, 260, 1032, 593, 1032, 547, 476, 1240, 267, 278, 6246, 544, 339, 538, 670, 272, 267, 4951, 1239, 689, 3624, 9821, 16432, 543, 7229, 676, 590, 12613, 269, 31245, 540, 6469, 17059, 3415, 2468, 6448, 476, 4200, 269, 276, 260, 538, 3624, 554, 2642, 693, 513, 3818, 4458, 1970, 540, 476, 4029, 267, 16020, 586, 10224, 8276, 339, 538, 4873, 543, 2038, 5147, 267, 1354, 6450, 15929, 547, 476, 3451, 267, 7742, 586, 10224, 8276, 339, 607, 540, 5147, 476, 2190, 267, 2687, 547, 590, 12613, 10526, 563, 1278, 4496, 12547, 568, 4401, 263, 7656, 264, 12547, 269, 901, 3568, 4401, 263, 7656, 264, 12274, 630, 8722, 274, 266, 264, 543, 12547, 12274, 630, 302, 273, 268, 1040, 4826, 568, 3773, 547, 930, 540, 519, 7513, 12547, 3812, 538, 513, 1184, 1634, 607, 2048, 16435, 1136, 9957, 634, 1587, 540, 713, 5114, 568, 1031, 547, 1118, 29147, 269, 6970, 302, 4433, 264, 1341, 670, 273, 302, 454, 19686, 2986, 6987, 3555, 13242, 1677, 5136, 1555, 25289, 3245, 4706, 20957, 14086, 540, 6886, 543, 2409, 540, 25935, 540, 8407, 875, 798, 649, 1349, 4401, 689, 922, 7777, 22714, 899, 519, 4401, 12547, 22714, 688, 14670, 924, 561, 714, 523, 603, 928, 7513, 19941, 547, 4894, 1978, 23606, 899, 21958, 454, 313, 4532, 568, 606, 3693, 531, 4496, 269, 898, 568, 7396, 593, 519, 11270, 545, 7305, 607, 834, 313, 333, 2437, 609, 606, 10570, 8356, 518, 540, 476, 1789, 543, 606, 10570, 2597, 540, 476, 4792, 269, 4391, 267, 543, 621, 5283, 1206, 693, 476, 4281, 279, 674, 630, 22213, 595, 1040, 2098, 4532, 568, 2356, 513, 12457, 17285, 2681, 267, 855, 621, 666, 581, 25509, 547, 513, 21743, 8988, 561, 13831, 269, 769, 2470, 454, 291, 8283, 1500, 513, 13594, 540, 1793, 8898, 18654, 1496, 5632, 6458, 12547, 267, 5594, 5848, 2989, 547, 1106, 7513, 28355, 316, 543, 2699, 12547, 540, 16035, 1496, 1067, 322, 1722, 630, 2862, 264, 12547, 4940, 630, 274, 264, 1261, 1500, 513, 4965, 538, 519, 13594, 543, 5116, 827, 476, 274, 269, 276, 10101, 540, 16035, 4496, 972, 547, 957, 607, 606, 19650, 563, 27848, 878, 3679, 1341, 7513, 9890, 7513, 24277, 1341, 7250, 634, 6070, 602, 568, 3812, 5673, 2390, 799, 3679, 543, 799, 4496, 2746, 269, 634, 1739, 3349, 2488, 513, 5758, 540, 519, 2012, 540, 519, 6070, 3812, 676, 1114, 6547, 1063, 7408, 543, 8407, 269, 670, 842, 454, 9773, 6458, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 476, 1001, 279, 268, 1556, 268, 3066, 17972, 540, 7513, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 281, 4400, 21252, 269, 7201, 519, 1482, 8737, 3803, 2450, 543, 519, 1482, 5179, 1379, 267, 519, 4390, 540, 7513, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 568, 7466, 607, 1454, 607, 15191, 1984, 267, 11544, 32291, 543, 3440, 1984, 267, 543, 1648, 4616, 8519, 476, 1789, 18336, 280, 270, 273, 270, 1001, 274, 6440, 6333, 602, 7513, 4496, 23465, 609, 5135, 3154, 538, 519, 2011, 547, 1106, 7513, 12547, 269, 14597, 649, 2746, 476, 275, 269, 3445, 12387, 7513, 609, 476, 275, 269, 876, 12387, 5135, 3154, 269, 14419, 519, 8356, 518, 540, 18253, 540, 7513, 12547, 3812, 1310, 519, 5114, 568, 2347, 563, 763, 2627, 540, 536, 2044, 961, 1756, 4496, 568, 4988, 609, 513, 6094, 4494, 540, 12547, 602, 2337, 2149, 519, 4496, 689, 4323, 676, 2011, 269, 898, 1281, 711, 12444, 1125, 538, 2011, 1256, 693, 476, 7785, 9180, 269, 1717, 267, 32314, 536, 2044, 961, 1756, 4496, 1281, 6633, 538, 2011, 547, 2285, 513, 7848, 540, 3043, 536, 2044, 961, 1756, 12547, 267, 2142, 302, 267, 543, 536, 2044, 961, 1756, 6491, 20183, 267, 2142, 476, 274, 715, 476, 273, 4586, 10907, 573, 543, 513, 4496, 19941, 8838, 1308, 15331, 281, 634, 5114, 540, 7408, 609, 3327, 919, 2561, 541, 9850, 543, 2326, 9540, 5666, 540, 11256, 8869, 630, 338, 18754, 6396, 28392, 6529, 519, 6765, 8546, 998, 519, 12285, 3247, 704, 269, 32449, 18654, 4248, 883, 835, 540, 519, 1449, 13740, 563, 1240, 270, 278, 270, 1001, 274, 6440, 634, 5135, 12274, 23271, 538, 519, 6070, 6028, 519, 4496, 3297, 267, 543, 713, 5012, 547, 519, 4277, 8367, 602, 4496, 27911, 666, 581, 4389, 2047, 547, 519, 4496, 17033, 676, 519, 946, 540, 9211, 269, 6201, 616, 2016, 585, 519, 5786, 540, 24489, 8166, 267, 1990, 597, 935, 1756, 8166, 267, 26388, 12547, 543, 562, 328, 984, 1756, 12547, 543, 676, 11544, 12547, 32340, 1927, 543, 4227, 519, 6404, 11741, 267, 23212, 6693, 9773, 6458, 1543, 538, 14680, 8869, 269, 7799, 9693, 585, 1383, 568, 4646, 689, 22803, 3788, 971, 607, 16115, 543, 7729, 30416, 5450, 18982, 545, 7725, 7945, 607, 18899, 1793, 622, 14415, 924, 845, 950, 513, 4224, 2527, 568, 16271, 547, 1390, 3002, 543, 2604, 634, 9030, 3693, 538, 519, 0, 12041, 19964, 281, 3046, 2284, 7065, 6350, 454, 12041, 19964, 281, 3046, 2284, 7065, 6350, 454, 294, 636, 2068, 568, 513, 1455, 6161, 269, 717, 636, 2068, 666, 2014, 1082, 824, 1072, 2042, 267, 971, 607, 973, 5338, 14779, 267, 11926, 14779, 267, 543, 10690, 4522, 563, 2026, 707, 14779, 12115, 267, 789, 3513, 9395, 523, 1472, 707, 10690, 5694, 910, 865, 952, 596, 723, 513, 10690, 5694, 267, 798, 711, 11784, 563, 2414, 8430, 513, 16516, 13393, 267, 3717, 547, 707, 11290, 1318, 2476, 269, 1703, 781, 2141, 513, 4960, 602, 596, 666, 4688, 707, 3138, 657, 2989, 5694, 1210, 513, 5959, 10943, 842, 610, 676, 7738, 909, 519, 10733, 1858, 865, 789, 666, 1191, 531, 519, 5694, 269, 6168, 519, 2278, 454, 2005, 568, 1454, 4443, 547, 2697, 519, 3597, 2014, 540, 513, 4503, 5694, 543, 585, 707, 11290, 547, 3927, 2232, 621, 269, 634, 3339, 3123, 540, 5694, 3138, 657, 2287, 1331, 3248, 20540, 2632, 4345, 267, 513, 10733, 2068, 267, 666, 2014, 11029, 2042, 971, 607, 5694, 26252, 525, 610, 10690, 4522, 563, 294, 636, 2068, 568, 3361, 676, 6553, 689, 20715, 15799, 269, 634, 14779, 666, 7485, 2476, 689, 519, 4522, 267, 17021, 621, 2352, 610, 7543, 585, 596, 547, 2973, 873, 563, 763, 2067, 31289, 532, 540, 707, 4522, 1223, 7654, 581, 4503, 538, 519, 2680, 602, 596, 20836, 610, 804, 26067, 707, 4522, 1282, 519, 3781, 563, 5938, 996, 18655, 543, 10265, 7063, 666, 1419, 3142, 827, 5694, 3441, 610, 2530, 269, 1358, 616, 811, 2693, 547, 1995, 4522, 2530, 563, 2005, 568, 519, 3119, 2601, 3297, 1034, 5959, 2042, 269, 18648, 5711, 9882, 666, 1291, 513, 1268, 547, 723, 24571, 3022, 610, 7508, 4522, 563, 10303, 540, 1312, 4008, 10391, 2564, 2175, 267, 5642, 3448, 5860, 666, 6175, 543, 1831, 811, 11630, 547, 18655, 269, 13809, 540, 4522, 666, 2049, 950, 519, 5642, 4478, 835, 781, 4522, 19380, 922, 5860, 269, 901, 2783, 568, 811, 11342, 538, 2021, 945, 723, 4810, 17441, 2242, 936, 741, 2729, 267, 543, 616, 811, 2693, 547, 1995, 4617, 7633, 2663, 538, 1272, 563, 18131, 602, 616, 9176, 666, 723, 9395, 4522, 1317, 10399, 2333, 5642, 5860, 543, 12249, 2157, 269, 634, 28587, 1472, 707, 4522, 949, 849, 14020, 563, 2690, 10690, 4522, 267, 621, 568, 1655, 547, 5077, 513, 4387, 269, 769, 519, 29291, 267, 2705, 2073, 930, 5363, 25559, 1218, 949, 948, 596, 2061, 5694, 2530, 543, 2226, 2949, 8902, 4522, 269, 11270, 2632, 4345, 2126, 1223, 581, 1500, 4443, 676, 17678, 7466, 3232, 267, 29781, 1169, 1554, 267, 543, 2348, 2834, 2638, 5725, 563, 14187, 5711, 9882, 568, 4105, 585, 2178, 4522, 543, 547, 2057, 824, 5959, 2042, 269, 12989, 616, 513, 1906, 4808, 585, 4509, 1434, 5711, 9882, 563, 288, 14312, 2732, 27499, 513, 7513, 11656, 2732, 602, 2949, 10607, 4522, 781, 1072, 269, 589, 7059, 2732, 786, 1291, 547, 2178, 4522, 269, 3417, 10683, 2472, 543, 5388, 563, 22134, 4088, 3131, 6448, 19754, 4551, 1472, 3138, 657, 2989, 4522, 269, 634, 5739, 4551, 2014, 3968, 267, 19659, 267, 610, 15799, 267, 543, 607, 513, 1267, 267, 1033, 16670, 540, 519, 5694, 1281, 2049, 563, 288, 6070, 4248, 575, 1173, 548, 267, 799, 568, 4010, 899, 7250, 25681, 269, 898, 6411, 607, 606, 2500, 21149, 656, 543, 646, 1023, 11926, 269, 3689, 267, 621, 786, 948, 6146, 519, 6456, 4551, 538, 519, 5023, 267, 543, 7930, 267, 14779, 786, 1831, 6793, 2059, 2427, 10690, 4522, 563, 1607, 4999, 540, 476, 1911, 4939, 2067, 5820, 568, 1360, 2500, 585, 8156, 10690, 4522, 269, 2422, 3160, 2157, 540, 1312, 5820, 547, 9900, 18552, 519, 4299, 1858, 269, 681, 20600, 519, 5023, 609, 1216, 269, 901, 1543, 454, 2690, 2635, 4522, 267, 621, 568, 1271, 547, 2149, 519, 19596, 269, 589, 27357, 12837, 543, 15090, 569, 16543, 666, 3500, 1524, 519, 5650, 540, 5694, 2530, 543, 2333, 5711, 1072, 269, 1452, 616, 930, 5363, 4388, 547, 2061, 19596, 11761, 563, 19350, 616, 513, 1906, 2241, 2126, 3681, 602, 666, 581, 1031, 547, 7794, 21260, 4522, 269, 2659, 11290, 949, 4363, 1114, 2126, 3681, 4470, 593, 519, 10335, 540, 707, 1793, 871, 2287, 4522, 563, 2252, 707, 4522, 616, 3138, 657, 2287, 1813, 547, 10733, 2068, 267, 18440, 543, 3597, 4058, 568, 513, 1434, 4781, 563, 2005, 3513, 4339, 519, 3968, 563, 306, 29864, 281, 769, 4049, 2665, 267, 6391, 786, 581, 2838, 547, 1521, 519, 1966, 269, 769, 4148, 3139, 10733, 5160, 610, 5642, 666, 581, 6569, 563, 294, 2761, 338, 281, 2467, 616, 1079, 3681, 2139, 585, 10690, 4522, 281, 5160, 21910, 338, 630, 14752, 21910, 338, 264, 543, 5160, 21910, 338, 630, 339, 22568, 21910, 338, 1040, 1452, 666, 1489, 519, 1858, 593, 519, 4299, 5694, 543, 2061, 811, 3441, 547, 4522, 543, 14779, 538, 1004, 609, 10733, 2068, 563, 291, 1581, 14233, 281, 29392, 14233, 267, 971, 607, 10943, 6493, 267, 948, 2569, 3441, 689, 8860, 543, 949, 581, 2111, 547, 4368, 519, 1292, 540, 519, 3510, 563, 26139, 267, 519, 3597, 2014, 540, 519, 5694, 2530, 568, 2629, 547, 1022, 2126, 563, 2252, 596, 616, 7255, 827, 10690, 4522, 267, 1616, 547, 2087, 4522, 781, 1072, 543, 3274, 1491, 2556, 3800, 899, 8026, 1697, 5711, 9882, 267, 2834, 5959, 2638, 5725, 267, 543, 10438, 513, 14312, 2732, 263, 5341, 538, 6171, 667, 543, 7513, 264, 786, 948, 1832, 707, 4522, 538, 1434, 3337, 563, 304, 281, 1548, 4523, 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 ]
[ 29715, 800, 17107, 825, 585, 6221, 538, 8848, 269, 3430, 1026, 2373, 912, 1038, 10471, 815, 1205, 3430, 337, 263, 935, 14808, 267, 6221, 994, 1038, 562, 815, 10471, 14277, 333, 31116, 1038, 694, 336, 318, 6352, 815, 10471, 14277, 572, 336, 318, 6352, 257, 6540, 1038, 9041, 343, 267, 9041, 344, 815, 5352, 3799, 267, 694, 336, 318, 6352, 2020, 1038, 32197, 815, 6221, 1341, 29717, 339, 868, 28847, 1038, 2619, 815, 1239, 5091, 1311, 800, 1341, 1016, 29715, 800, 454, 1038, 2407, 24786, 815, 2619, 1341, 32197, 692, 1038, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 2187, 2018, 15259, 6230, 8898, 15077, 9638, 987, 2020, 1038, 609, 1930, 263, 21459, 24786, 267, 1412, 342, 10807, 607, 535, 912, 2018, 535, 22182, 2891, 258, 586, 29146, 343, 14826, 5602, 2018, 585, 1535, 267, 586, 538, 23407, 263, 318, 343, 267, 9041, 344, 2187, 3546, 535, 22182, 2891, 314, 346, 271, 348, 316, 315, 339, 314, 346, 272, 348, 316, 315, 333, 2668, 8971, 2891, 834, 269, 21860, 9852, 777, 19304, 267, 586, 24270, 476, 834, 834, 269, 21860, 9852, 777, 19304, 267, 1535, 30727, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2328, 15461, 18316, 24867, 1778, 273, 14818, 5038, 267, 1412, 30221, 273, 15305, 5038, 270, 17210, 825, 585, 562, 318, 1410, 3263, 538, 2039, 263, 273, 267, 476, 1556, 2187, 1038, 4762, 580, 309, 776, 532, 307, 1778, 5591, 6745, 1778, 9131, 333, 11172, 815, 476, 273, 1262, 333, 318, 1410, 3263, 454, 1038, 2328, 15461, 18316, 263, 3519, 14808, 309, 776, 532, 307, 1778, 5591, 2676, 4449, 8587, 1016, 29715, 800, 6889, 318, 30221, 346, 271, 348, 270, 2668, 8971, 263, 273, 1262, 333, 318, 1410, 3263, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 10289, 8225, 1733, 529, 5652, 543, 5253, 9177, 692, 7072, 281, 5620, 596, 2479, 4862, 540, 22090, 5652, 1354, 286, 898, 781, 513, 1826, 540, 23931, 4235, 602, 814, 1044, 10150, 676, 1004, 782, 936, 519, 1158, 585, 5553, 256, 4653, 267, 649, 786, 1451, 827, 8225, 22090, 5652, 267, 922, 1686, 267, 875, 621, 781, 1500, 267, 543, 1256, 3605, 930, 1187, 2081, 547, 6451, 621, 883, 1426, 10346, 269, 5213, 1405, 5855, 910, 1100, 991, 547, 6492, 1022, 22090, 5652, 952, 596, 1810, 1405, 1616, 547, 256, 3807, 1694, 1394, 267, 6001, 267, 543, 1577, 781, 4685, 883, 713, 8949, 7045, 1927, 2439, 4089, 476, 272, 281, 1548, 568, 8225, 1733, 529, 5652, 888, 4692, 6598, 22090, 5652, 267, 849, 1634, 607, 30383, 22090, 5652, 267, 568, 513, 6891, 602, 12090, 538, 4516, 1282, 519, 3735, 476, 1240, 628, 2540, 269, 27603, 267, 621, 729, 1500, 1210, 513, 4999, 540, 9274, 899, 30383, 267, 8970, 267, 10568, 267, 543, 24061, 267, 799, 941, 25496, 267, 30341, 267, 9907, 267, 543, 1287, 20762, 1927, 269, 3962, 10286, 8591, 2189, 10366, 267, 971, 607, 30383, 7700, 25970, 4967, 543, 8970, 4946, 29284, 269, 901, 2164, 538, 513, 5347, 543, 11684, 4508, 528, 609, 1950, 16919, 780, 4089, 476, 273, 281, 1215, 568, 8225, 1733, 529, 5652, 17214, 888, 763, 1184, 5956, 609, 4731, 1154, 543, 17819, 519, 9274, 267, 7432, 873, 883, 21432, 7912, 1572, 834, 326, 2077, 2668, 8921, 267, 1216, 568, 3773, 547, 1711, 513, 11188, 16466, 6438, 7848, 1572, 834, 332, 1662, 2580, 3850, 11476, 547, 6460, 588, 2117, 1127, 883, 14836, 269, 2991, 2072, 267, 13803, 568, 5189, 547, 1376, 519, 18829, 1184, 267, 14291, 4006, 883, 4568, 269, 11374, 18829, 267, 519, 5277, 25457, 1253, 20746, 998, 7601, 588, 1571, 267, 19459, 519, 5551, 4568, 689, 824, 6878, 269, 7053, 267, 519, 9241, 30341, 22090, 5652, 568, 5116, 3330, 18073, 29054, 547, 9921, 585, 1896, 1296, 267, 3384, 3638, 4778, 543, 10366, 780, 4089, 476, 274, 281, 17949, 532, 8225, 1733, 529, 5652, 13786, 4601, 454, 2005, 781, 1271, 547, 3314, 602, 11981, 22090, 5652, 19100, 1797, 1152, 3257, 865, 950, 596, 616, 16155, 4847, 543, 538, 20208, 269, 1403, 596, 3442, 547, 2119, 22090, 5652, 835, 1554, 267, 1491, 1507, 521, 2354, 543, 5660, 922, 1585, 10366, 269, 1411, 1522, 2972, 621, 16517, 630, 23719, 4672, 1070, 593, 519, 7725, 630, 5976, 4672, 18695, 1070, 610, 6404, 538, 15483, 339, 5661, 269, 2142, 2386, 547, 2141, 723, 513, 11280, 2937, 547, 27459, 1047, 543, 2760, 8532, 4568, 1247, 6117, 610, 5665, 5230, 12227, 780, 4089, 476, 275, 281, 18181, 609, 8225, 1733, 529, 5652, 454, 14582, 10079, 621, 610, 711, 267, 22090, 5652, 3884, 1405, 1175, 5921, 585, 521, 6235, 1107, 621, 666, 849, 581, 1031, 538, 5986, 256, 3509, 22730, 946, 22090, 5652, 547, 1039, 3178, 543, 8137, 547, 741, 8286, 269, 1280, 3236, 267, 596, 1223, 2261, 3729, 16469, 16074, 538, 513, 7848, 5627, 22090, 5652, 267, 6960, 4006, 267, 13342, 267, 543, 11922, 282, 1287, 3500, 3434, 873, 2394, 13035, 543, 30861, 269, 6271, 2856, 1131, 581, 6220, 22090, 5652, 883, 27156, 610, 28040, 625, 585, 3063, 14246, 543, 6988, 269, 1306, 1279, 607, 596, 1246, 513, 11967, 11600, 267, 972, 616, 11995, 7399, 585, 2870, 17705, 6980, 29689, 609, 519, 17175, 9759, 540, 8225, 22090, 5652, 780, 6962, 281, 1284, 4126, 596, 4121, 1945, 1007, 543, 4241, 827, 8225, 22090, 5652, 2221, 256, 6787, 596, 6430, 547, 2263, 922, 10366, 14693, 610, 3274, 23507, 621, 689, 7192, 541, 267, 917, 602, 713, 3140, 4235, 4249, 513, 1713, 1909, 538, 5935, 938, 2197, 781, 2686, 3961, 269, 1924, 1985, 942, 596, 3643, 513, 2199, 4558, 610, 13962, 267, 1832, 707, 4064, 22019, 539, 585, 8225, 22090, 5652, 2472, 543, 2671, 1018, 596, 4312, 4121, 609, 2828, 543, 1920, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 700, 645, 661, 681, 25526, 1315, 674, 744, 744, 667, 1299, 667, 681, 594, 715, 918, 1315, 681, 661, 595, 594, 623, 661, 590, 590, 661, 623, 570, 661, 631, 645, 661, 681, 476, 273, 476, 6349, 476, 272, 454, 24456, 15369, 667, 1456, 1923, 22598, 5940, 650, 7685, 1923, 4635, 10871, 21277, 576, 454, 300, 32767, 1721, 300, 4932, 3036, 22494, 25526, 17395, 22400, 631, 308, 294, 10396, 22400, 715, 28692, 454, 611, 1203, 675, 674, 18853, 8946, 2464, 292, 23333, 28421, 2316, 25770, 5084, 299, 631, 308, 14899, 5442, 5254, 16800, 6730, 590, 2793, 303, 589, 623, 2975, 11123, 589, 8863, 23814, 9215, 654, 2562, 256, 265, 589, 654, 7417, 298, 21715, 717, 4953, 288, 310, 17751, 454, 1892, 11404, 2793, 14888, 3198, 18040, 3041, 298, 312, 32217, 2752, 9169, 3040, 454, 291, 3041, 2316, 17247, 28475, 5508, 5990, 667, 4488, 32767, 9215, 13673, 9898, 267, 18161, 4306, 22400, 11682, 5588, 302, 10396, 5442, 4306, 8980, 305, 4456, 267, 674, 5357, 299, 8582, 6730, 570, 8980, 7711, 3201, 289, 12224, 4696, 3041, 2316, 17247, 8991, 267, 6730, 5442, 12710, 11070, 292, 1948, 4696, 299, 4037, 5442, 22400, 26480, 3582, 454, 17472, 623, 7838, 6224, 17955, 715, 4488, 8577, 14473, 269, 18771, 581, 3656, 6704, 2085, 547, 7119, 269, 966, 1355, 3544, 20563, 543, 1141, 19275, 269, 2290, 630, 272, 264, 9835, 15356, 2139, 547, 581, 4465, 269, 20976, 1493, 9835, 15356, 1871, 1269, 1015, 267, 1822, 269, 876, 21957, 269, 19556, 31853, 6874, 20535, 2243, 2838, 269, 2552, 652, 32195, 5239, 476, 1704, 267, 476, 1708, 272, 269, 9509, 2552, 652, 3877, 666, 581, 1336, 693, 10283, 10685, 6753, 543, 5084, 299, 4037, 28022, 269, 2485, 362, 540, 22598, 5940, 650, 619, 17290, 2836, 326, 776, 267, 4516, 563, 24127, 476, 1015, 1315, 3143, 269, 476, 275, 1315, 5181, 476, 1708, 272, 454, 21946, 2373, 543, 1744, 719, 4934, 338, 454, 19423, 634, 32386, 454, 10267, 12028, 685, 9669, 543, 570, 9581, 454, 21158, 689, 22598, 779, 11477, 6429, 454, 10673, 3534, 5839, 779, 8496, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 4241, 1158, 540, 1426, 2257, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 13858, 2460, 540, 621, 1572, 834, 14549, 12594, 543, 10791, 7497, 1701, 901, 2361, 2090, 875, 519, 1426, 649, 3548, 5222, 938, 4703, 267, 4543, 721, 1174, 1018, 5567, 616, 1898, 585, 1434, 1072, 543, 2208, 269, 1924, 1577, 781, 4685, 883, 713, 17705, 7045, 1927, 2439, 5331, 596, 1175, 3357, 1394, 689, 513, 1187, 1554, 693, 519, 6288, 267, 4743, 17237, 1310, 4730, 11090, 609, 707, 2828, 269, 1411, 1930, 519, 26806, 543, 1294, 1114, 2010, 540, 3536, 899, 5613, 267, 19787, 267, 18506, 267, 10381, 267, 3694, 267, 543, 1256, 2063, 3781, 781, 16741, 256, 1809, 723, 596, 2479, 2219, 827, 799, 540, 891, 786, 2285, 596, 1648, 267, 948, 1628, 2178, 6091, 267, 543, 1832, 596, 5059, 865, 602, 596, 666, 798, 1134, 538, 1153, 286, 2334, 781, 1141, 6484, 2501, 538, 2439, 301, 9173, 6212, 593, 8324, 267, 6886, 267, 5946, 267, 11950, 267, 9600, 267, 543, 1216, 1107, 782, 519, 2679, 7161, 602, 948, 938, 4703, 1332, 267, 7816, 2933, 267, 3251, 10069, 1242, 267, 543, 1599, 5265, 269, 2913, 781, 2743, 930, 540, 891, 12325, 1384, 272, 269, 2878, 309, 527, 7530, 4995, 1452, 6263, 1379, 17346, 4217, 1585, 1560, 3252, 971, 607, 20993, 12046, 630, 3697, 12192, 595, 1070, 14304, 7633, 630, 24791, 667, 1070, 543, 5329, 2960, 2635, 630, 24791, 661, 1040, 29759, 267, 5388, 267, 9274, 267, 543, 10683, 2472, 2356, 2270, 6266, 540, 8324, 2336, 273, 269, 2878, 14737, 5644, 4995, 6145, 27568, 11836, 4229, 267, 6886, 960, 1927, 547, 2226, 2178, 4522, 543, 7633, 267, 1489, 4887, 1599, 267, 543, 10038, 2295, 2041, 1846, 269, 1280, 3236, 267, 7513, 543, 16903, 2319, 909, 547, 1106, 4224, 3620, 731, 5694, 19596, 1247, 4401, 2337, 4163, 5135, 2429, 707, 1560, 2336, 274, 269, 2878, 3682, 974, 1231, 4995, 1879, 596, 1589, 540, 3940, 267, 4952, 2370, 4070, 4600, 24091, 2679, 543, 21338, 1919, 3330, 707, 1560, 269, 4053, 3380, 267, 8219, 267, 4552, 267, 18969, 267, 12489, 910, 789, 782, 991, 3940, 547, 1020, 543, 8853, 269, 16639, 899, 10709, 16469, 267, 5798, 267, 10365, 267, 10808, 267, 543, 5452, 616, 14095, 609, 873, 563, 275, 269, 2878, 10111, 8510, 6233, 4995, 1358, 1522, 3280, 7294, 267, 855, 2731, 267, 19719, 616, 1175, 2656, 1648, 2959, 1336, 538, 1082, 8949, 3536, 899, 18437, 267, 7573, 267, 12277, 267, 543, 9811, 267, 1256, 17711, 256, 1717, 267, 2898, 10286, 8747, 540, 1346, 588, 2117, 1127, 1683, 1279, 18835, 4492, 3379, 547, 26265, 563, 276, 269, 2878, 293, 1846, 4995, 3143, 267, 789, 5749, 1405, 3983, 16921, 256, 2368, 9600, 267, 899, 1395, 10494, 18260, 543, 4874, 12584, 18260, 3283, 267, 2149, 707, 2295, 543, 2634, 267, 31289, 4105, 8219, 267, 1202, 3634, 707, 1560, 267, 543, 5351, 538, 21716, 1978, 8324, 269, 2997, 665, 15606, 267, 3165, 267, 14462, 3282, 267, 543, 10808, 616, 3638, 538, 891, 1434, 9600, 563, 277, 269, 2878, 12850, 4995, 3776, 1272, 1606 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6695, 2765, 13997, 343, 910, 476, 276, 12453, 274, 348, 815, 1422, 2765, 13997, 344, 1341, 476, 275, 12453, 278, 348, 815, 1422, 2765, 13997, 345, 910, 476, 277, 12453, 273, 15732, 17798, 10484, 763, 2016, 1899, 10596, 998, 519, 1448, 6695, 3847, 263, 2715, 3189, 3944, 346, 276, 3686, 267, 910, 11513, 3944, 346, 275, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 264, 9681, 2467, 325, 4141, 10484, 763, 2990, 6152, 540, 519, 1448, 568, 6695, 11355, 513, 815, 476, 276, 315, 1002, 1775, 910, 476, 275, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 9681, 9827, 267, 519, 4287, 12753, 540, 519, 2016, 1899, 616, 3230, 3189, 3944, 346, 274, 3686, 267, 3189, 3944, 346, 278, 24995, 543, 3230, 3189, 3944, 346, 273, 3686, 9681, 1607, 1797, 602, 519, 1899, 568, 538, 519, 4287, 540, 519, 6152, 267, 6695, 11355, 536, 815, 476, 274, 315, 1002, 1775, 1341, 476, 278, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 9681, 2026, 649, 1634, 602, 519, 1899, 998, 2318, 6152, 6695, 11355, 513, 2330, 543, 538, 519, 4287, 540, 519, 6152, 6695, 11355, 536, 2330, 568, 2016, 676, 519, 3830, 267, 6695, 11355, 678, 815, 1422, 11355, 513, 1341, 1422, 14433, 1422, 11355, 536, 282, 20939, 20939, 315, 14433, 22174, 681, 9681, 17798, 10484, 11377, 23976, 1422, 11355, 678, 815, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 275, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 348, 1422, 2431, 264, 1341, 1422, 14433, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 1341, 476, 278, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 1607, 568, 519, 2838, 3830, 540, 519, 2016, 1899, 538, 6152, 1106, 780, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 279, 692, 8340, 519, 6152, 543, 519, 31951, 3830, 540, 519, 3515, 602, 10596, 998, 519, 5169, 543, 6695, 3847, 263, 2715, 276, 267, 910, 476, 273, 267, 274, 348, 1422, 2431, 14638, 780, 2162, 8827, 692, 763, 2838, 1899, 10596, 998, 519, 5169, 780, 11997, 267, 922, 2990, 6152, 568, 6695, 11355, 513, 815, 476, 271, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 1422, 24126, 1422, 3847, 263, 11513, 3944, 346, 272, 3686, 1422, 2431, 264, 9681, 763, 4287, 12753, 540, 519, 1899, 8429, 998, 5169, 543, 6695, 3847, 263, 2715, 276, 267, 910, 476, 273, 267, 274, 348, 1422, 2431, 14638, 616, 692, 17961, 9387, 4153, 3847, 263, 2715, 3189, 3944, 346, 276, 3686, 910, 476, 271, 348, 1422, 2431, 264, 17851, 11513, 3944, 346, 276, 3686, 11138, 315, 3847, 263, 2715, 910, 11513, 3944, 346, 273, 3686, 910, 476, 271, 348, 1422, 2431, 264, 261, 815, 268, 11513, 3944, 346, 273, 3686, 11138, 315, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 268, 271, 348, 1422, 2431, 264, 17851, 11513, 3944, 346, 274, 476, 14990, 754, 9387, 10926, 17798, 267, 519, 1899, 568, 6252, 547, 519, 6152, 2016, 676, 519, 3830, 267, 6695, 11355, 536, 815, 476, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 3189, 3944, 346, 31998, 9681, 763, 3830, 540, 519, 1899, 538, 6152, 1106, 998, 513, 1448, 609, 2990, 6152, 6695, 11355, 513, 2330, 543, 6252, 547, 6695, 11355, 536, 2330, 568, 10484, 17961, 9387, 31905, 315, 23976, 31046, 315, 11355, 678, 815, 1422, 11355, 513, 1341, 1422, 14433, 1422, 11355, 536, 282, 20939, 20939, 315, 14433, 22174, 681, 11138, 261, 315, 23976, 31046, 1422, 11355, 678, 815, 476, 271, 1341, 1422, 14433, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 348, 1422, 2431, 9385, 315, 261, 315, 23976, 31046, 315, 11355, 678, 815, 1422, 14433, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 348, 1422, 2431, 9385, 754, 9387, 10926, 763, 3830, 540, 519, 1899, 998, 519, 1448, 6695, 3847, 263, 2715, 346, 343, 318, 272, 9574, 346, 344, 318, 272, 9574, 346, 345, 318, 272, 3686, 1422, 2431, 14638, 267, 543, 4287, 12753, 3230, 320, 14720, 22698, 2330, 568, 2016, 676, 267, 6695, 2765, 13997, 343, 910, 2715, 343, 318, 272, 3686, 2410, 320, 348, 815, 1422, 2765, 13997, 344, 910, 2715, 344, 318, 272, 3686, 2410, 321, 348, 815, 1422, 2765, 13997, 345, 910, 2715, 345, 318, 272, 3686, 2410, 322, 15732, 17798, 267, 519, 3830, 540, 519, 2838, 1899, 538, 519, 31951, 1106, 568, 692, 17961, 9387, 31905, 315, 23976, 31046, 315, 2765, 13997, 343, 910, 476, 271, 12453, 276, 348, 815, 1422, 2765, 13997, 344, 910, 476, 271, 12453, 346, 910, 476, 273, 3686, 815, 1422, 2765, 13997, 345, 910, 476, 271, 12453, 274, 27874, 285, 261, 315, 23976, 20939, 1422, 2765, 12757, 2410, 276, 348, 815, 1422, 2765, 26635, 2410, 273, 348, 815, 1422, 2765, 346, 345, 2410, 274, 4153, 754, 9387, 10926, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 280, 692, 8340, 519, 6152, 543, 519, 7047, 14198, 4834, 540, 519, 1899, 602, 10596, 998, 519, 2798, 6695, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 1070, 315, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 14638, 780, 2162, 8827, 692, 4131, 519, 1899, 8429, 998, 519, 2798, 267, 3230, 303, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 14638, 543, 3230, 304, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 14638, 581, 623, 304, 269, 4595, 623, 304, 10596, 998, 3230, 303, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 14638, 267, 922, 2990, 6152, 568, 2016, 676, 692, 11377, 11355, 513, 815, 476, 274, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 910, 476, 276, 315, 1002, 737, 9681, 763, 4287, 12753, 540, 623, 304, 616, 2016, 676, 692, 17961, 9387, 4153, 3847, 263, 2715, 274, 910, 476, 274, 348, 1422, 2431, 264, 17851, 476, 271, 11138, 315, 3847, 263, 2715, 910, 476, 273, 1341, 476, 273, 348, 1422, 2431, 264, 17851, 476, 271, 11138, 315, 3847, 263, 2715, 277, 1341, 476, 276, 348, 1422, 2431, 264, 261, 815, 476, 1556, 17910, 9387, 10926, 763, 3830, 540, 519, 6152, 538, 519, 4287, 540, 623, 304, 568, 692, 17961, 9387, 4153, 11355, 536, 17851, 476, 271, 26142, 1002, 1775, 910, 476, 271, 26142, 1002, 795, 1341, 476, 1556, 315, 1002, 737, 3189, 3944, 346, 31998, 11138, 261, 284, 476, 1556, 315, 1002, 737, 3189, 3944, 346, 476, 14990, 754, 9387, 10926, 763, 3830, 540, 623, 304, 538, 6152, 1106, 568, 2016, 676, 10484, 17961, 9387, 4153, 11355, 678, 17851, 1422, 11355, 513, 1341, 1422, 14433, 536, 12101, 282, 20939, 315, 14433, 22174, 681, 11138, 261, 284, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 276, 315, 1002, 737, 348, 1422, 2431, 264, 1341, 476, 1556, 315, 14433, 1422, 1002, 737, 17910, 9387, 10926, 763, 3830, 540, 623, 304, 538, 31951, 1106, 568, 692, 17961, 9387, 31905, 315, 23976, 20939, 1422, 2765, 13997, 343, 910, 2715, 343, 318, 272, 3686, 2410, 320, 348, 815, 1422, 2765, 13997, 344, 910, 2715, 344, 318, 272, 3686, 2410, 321, 348, 815, 1422, 2765, 13997, 345, 910, 2715, 345, 318, 272, 3686, 2410, 322, 27874, 261, 315, 23976, 20939, 1422, 2765, 13997, 343, 910, 476, 274, 12453, 276, 348, 815, 1422, 2765, 13997, 344, 1341, 476, 273, 12453, 273, 348, 815, 1422, 2765, 13997, 345, 1341, 476, 276, 12453, 274, 4153, 754, 9387, 10926, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 1015, 692, 8340, 519, 5086, 1063, 519, 1739, 8424, 540, 3515, 1384, 9217, 264, 6695, 11355, 678, 815, 476, 273, 315, 1002, 1775, 910, 476, 276, 315, 1002, 795, 1341, 1422, 1002, 737, 1341, 1422, 14433, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 348, 1422, 2431, 14638, 543, 6695, 11355, 678, 815, 476, 278, 315, 1002, 1775, 910, 476, 277, 315, 1002, 737, 1341, 1422, 14153, 1422, 3847, 263, 11513, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 23870, 264, 6695, 11355, 678, 815, 476, 274, 315, 1002, 1775, 1341, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 1341, 1422, 14433, 1422, 3847, 263, 11513, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 348, 1422, 2431, 14638, 543, 6695, 11355, 678, 815, 476, 273, 315, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 6321, 315, 1002, 737, 1341, 1422, 14153, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 910, 476, 276, 315, 1002, 795, 910, 476, 275, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 2162, 8827, 692, 4131, 7117, 581, 519, 5086, 1063, 519, 2016, 3515, 780, 10190, 519, 5086, 1063, 519, 2016, 8424, 540, 3515, 568, 2016, 676, 692, 11377, 6523, 11513, 3944, 3189, 9064, 31998, 815, 1422, 3847, 347, 11513, 2765, 13997, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 3686, 2410, 3189, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 26142, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 3686, 348, 1422, 2431, 347, 9681, 9217, 264, 634, 2016, 3515, 616, 6252, 547, 519, 10321, 267, 3230, 3189, 11355, 536, 318, 272, 348, 815, 476, 274, 315, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 2330, 543, 3230, 3189, 11355, 536, 318, 273, 348, 815, 1422, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 18079, 6606, 780, 11997, 10484, 17961, 9387, 4153, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 17851, 1422, 6912, 2715, 346, 274, 317, 273, 348, 1341, 2715, 273, 317, 273, 348, 1341, 2715, 277, 317, 273, 3686, 284, 1422, 6912, 2715, 5392, 13157, 476, 278, 11138, 315, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 17851, 1422, 6912, 2715, 346, 272, 317, 273, 348, 1341, 2715, 273, 317, 273, 348, 1341, 2715, 273, 317, 273, 3686, 284, 1422, 6912, 476, 280, 284, 476, 274, 11138, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 348, 17851, 1422, 3847, 263, 2715, 274, 328, 1341, 476, 273, 329, 1341, 476, 277, 330, 348, 1422, 2431, 1040, 315, 3847, 263, 2715, 328, 1341, 476, 273, 329, 1341, 476, 273, 330, 348, 1422, 2431, 9385, 315, 261, 284, 476, 274, 1422, 9392, 476, 272, 1341, 476, 273, 1422, 9392, 476, 273, 1341, 476, 277, 1422, 9392, 476, 273, 11138, 261, 284, 476, 274, 1341, 476, 275, 1341, 476, 1321, 11138, 261, 284, 476, 866, 17910, 9387, 10926, 17798, 10484, 17961, 9387, 4153, 6523, 11513, 3944, 3189, 9064, 31998, 17851, 1422, 3847, 347, 11513, 2765, 13997, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 3686, 2410, 3189, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 26142, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 3686, 348, 1422, 2431, 347, 11138, 315, 6523, 11513, 3944, 3189, 9064, 31998, 17851, 1422, 3847, 347, 11513, 2765, 13997, 866, 12453, 346, 278, 1422, 9392, 476, 274, 3686, 348, 1422, 2431, 347, 815, 1422, 2765, 13997, 866, 12453, 346, 2641, 3686, 11138, 3189, 3944, 3189, 9064, 31998, 261, 815, 11513, 6523, 476, 3867, 910, 476, 272, 14990, 3847, 263, 11513, 2765, 13997, 866, 12453, 346, 2641, 3686, 348, 1422, 2431, 9385, 754, 9387, 10926, 23870, 264, 634, 2016, 3515, 616, 6252, 547, 519, 10321, 267, 3230, 3189, 11355, 536, 318, 272, 348, 815, 1422, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 2330, 543, 3230, 3189, 11355, 536, 318, 273, 348, 815, 476, 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 ]
[ 0, 273, 4139, 1931, 543, 1977, 21140, 454, 2171, 786, 2253, 547, 1589, 998, 891, 2055, 676, 6236, 693, 513, 1360, 2489, 1377, 1018, 621, 568, 602, 3013, 568, 3843, 547, 3035, 538, 519, 3486, 1062, 563, 1432, 616, 519, 7330, 779, 1279, 3856, 3853, 585, 3486, 1931, 888, 2414, 2626, 713, 2243, 649, 1101, 991, 513, 2324, 4214, 540, 1018, 3486, 1931, 568, 269, 1306, 596, 723, 2907, 2938, 267, 972, 616, 1114, 2081, 538, 799, 835, 1522, 1174, 543, 1915, 1047, 3486, 1931, 269, 7324, 891, 267, 1614, 18765, 540, 3486, 1931, 896, 12340, 1454, 540, 519, 4901, 602, 5205, 1934, 269, 634, 1101, 267, 1034, 5702, 855, 711, 1152, 2404, 609, 30527, 267, 568, 519, 2856, 602, 3486, 1931, 568, 519, 1587, 267, 538, 606, 29450, 673, 2829, 1606, 2448, 267, 540, 513, 3666, 540, 1379, 281, 519, 28170, 633, 1379, 540, 2829, 630, 528, 519, 1761, 547, 946, 971, 1379, 264, 568, 24132, 1996, 602, 540, 1866, 269, 11352, 1934, 568, 8032, 676, 519, 1379, 540, 835, 10992, 602, 540, 1866, 267, 610, 540, 519, 2178, 2531, 3215, 519, 4617, 563, 4913, 267, 596, 723, 849, 2938, 602, 3486, 1931, 666, 8451, 689, 22524, 11163, 543, 3226, 689, 3029, 540, 2318, 1606, 636, 22524, 11163, 269, 11352, 1934, 568, 513, 7104, 3959, 540, 2829, 602, 616, 2111, 547, 11282, 930, 540, 741, 4205, 547, 8994, 5413, 269, 634, 2296, 3427, 13187, 602, 3486, 1931, 14340, 689, 2048, 320, 2631, 540, 1455, 4690, 538, 1346, 10026, 610, 3119, 3853, 1496, 1993, 1514, 1272, 22049, 676, 519, 3652, 799, 21559, 519, 4806, 540, 7180, 602, 2771, 1622, 873, 282, 543, 676, 5238, 799, 1118, 891, 3652, 2500, 685, 630, 289, 1638, 267, 476, 1960, 276, 2073, 533, 269, 7906, 1040, 1280, 519, 2296, 3427, 267, 519, 3119, 3853, 540, 1514, 1272, 1331, 18715, 540, 3354, 267, 11650, 543, 3959, 267, 543, 3270, 540, 7180, 602, 27481, 891, 269, 1280, 1866, 267, 971, 607, 519, 27565, 19767, 540, 2022, 4149, 324, 1718, 2622, 2782, 3486, 1931, 267, 519, 13287, 540, 1804, 6207, 12374, 4249, 513, 2629, 1909, 538, 24569, 519, 1880, 3270, 540, 7180, 540, 513, 12666, 3486, 1931, 269, 7053, 267, 31767, 9382, 540, 22030, 543, 30566, 344, 538, 519, 24041, 3486, 1062, 3343, 547, 1397, 875, 1312, 1379, 543, 22524, 11163, 616, 2933, 8032, 676, 519, 19514, 1646, 540, 519, 24041, 1158, 4346, 269, 769, 713, 1576, 649, 1491, 519, 2070, 602, 782, 1614, 18765, 1107, 1379, 267, 2318, 1606, 636, 22524, 11163, 543, 24041, 1646, 1107, 1404, 513, 1909, 538, 513, 2808, 2272, 540, 519, 7330, 538, 3486, 1931, 269, 0, 19733, 32407, 594, 11803, 9652, 543, 15576, 773, 16399, 5063, 4843, 1382, 593, 4763, 267, 9698, 543, 10014, 538, 2069, 563, 19853, 960, 729, 1851, 519, 1382, 12286, 693, 519, 3162, 10491, 30451, 585, 519, 19750, 2422, 540, 3194, 10985, 538, 12052, 563, 10527, 10554, 729, 513, 1390, 4316, 547, 2671, 1250, 960, 543, 1451, 689, 1082, 1390, 3173, 827, 875, 649, 666, 1118, 2069, 1732, 585, 782, 1053, 2223, 16399, 1767, 563, 10932, 532, 519, 7201, 3146, 335, 18677, 538, 717, 26661, 15789, 454, 1320, 15106, 779, 1382, 9619, 519, 1966, 540, 896, 3146, 335, 19948, 540, 1970, 13867, 1053, 267, 7292, 18441, 543, 2296, 1893, 6267, 538, 22064, 3292, 269, 16399, 3177, 7840, 585, 1153, 13102, 676, 3168, 693, 1655, 2853, 689, 1472, 519, 2197, 563, 1320, 15106, 779, 1382, 3769, 875, 547, 5431, 22064, 4162, 538, 1053, 269, 2701, 12038, 827, 1210, 513, 8471, 9584, 1184, 610, 2199, 8155, 585, 10343, 883, 22064, 3292, 563, 19185, 883, 5753, 779, 7734, 454, 297, 28427, 12649, 8366, 20421, 1453, 779, 2835, 602, 4183, 1114, 7292, 543, 6803, 2516, 269, 2701, 4330, 875, 519, 2835, 1223, 28511, 11475, 952, 711, 1031, 14013, 563, 2690, 1383, 267, 519, 1453, 779, 1433, 2506, 28609, 779, 14134, 267, 1305, 538, 19168, 267, 1223, 12927, 1053, 685, 2093, 827, 4000, 1373, 606, 7357, 896, 16467, 539, 11782, 609, 1100, 2029, 610, 2413, 29319, 269, 9652, 3177, 7840, 585, 2238, 602, 3610, 1223, 6292, 609, 2835, 563, 288, 5691, 2361, 7552, 547, 13280, 1223, 948, 1053, 7753, 741, 26608, 18727, 18765, 827, 4000, 267, 2687, 547, 9652, 269, 634, 2534, 1131, 1450, 1053, 547, 1995, 513, 2413, 23302, 2749, 538, 4000, 609, 5230, 6808, 267, 28565, 543, 1236, 903, 322, 1905, 619, 563, 19733, 3194, 25547, 1161, 23779, 454, 7804, 269, 717, 3271, 807, 645, 719, 974, 267, 10491, 31692, 1639, 7905, 693, 2160, 540, 3162, 10491, 267, 26518, 16399, 779, 543, 9652, 779, 1382, 1282, 1200, 1883, 16694, 2232, 269, 645, 719, 974, 568, 519, 2278, 540, 476, 3445, 12326, 543, 519, 13653, 540, 519, 4741, 540, 28742, 585, 519, 4065, 543, 24054, 540, 3979, 1977, 4841, 563, 7804, 269, 27813, 12070, 9469, 267, 945, 11414, 519, 2069, 1698, 7723, 1576, 267, 4843, 609, 10026, 2069, 2101, 8865, 344, 21862, 21672, 1282, 2063, 1032, 779, 10554, 269, 634, 3162, 10491, 5948, 585, 5664, 5426, 4065, 4750, 3370, 741, 1382, 827, 875, 1053, 1558, 519, 9043, 540, 519, 3162, 10491, 23958, 998, 606, 1310, 17469, 17562, 1982, 563, 17556, 341, 21672, 568, 1631, 513, 8772, 3446, 2979, 543, 2257, 4116, 693, 5101, 2515, 16504, 3427, 538, 22735, 267, 590, 5861, 563, 28899, 538, 4065, 693, 7193, 454, 302, 653, 1953, 885, 547, 1459, 1382, 693, 2069, 19014, 568, 835, 540, 519, 1082, 4128, 547, 2101, 538, 2069, 693, 7193, 269, 7490, 3643, 519, 2069, 8257, 779, 1357, 3817, 585, 811, 827, 519, 2069, 32407, 602, 666, 5965, 596, 585, 513, 3450, 4876, 269, 0, 763, 8177, 540, 27275, 16661, 1923, 590, 27263, 24165, 10378, 540, 623, 29301, 334, 454, 763, 1032, 476, 1708, 271, 786, 581, 835, 585, 519, 2835, 547, 2161, 519, 2547, 269, 769, 1840, 547, 519, 12416, 602, 1671, 4240, 267, 621, 729, 849, 513, 2594, 1606, 23293, 1032, 585, 4365, 543, 2916, 12469, 269, 2986, 782, 519, 1296, 538, 1686, 585, 799, 649, 723, 1239, 267, 476, 1708, 271, 729, 519, 1034, 20019, 16160, 563, 7628, 476, 1708, 271, 267, 972, 941, 476, 2420, 4013, 4365, 12469, 267, 799, 616, 3989, 607, 2621, 602, 2014, 693, 2547, 513, 5479, 9489, 538, 14796, 563, 2467, 941, 849, 1082, 824, 14124, 15420, 602, 14201, 1406, 20039, 585, 538, 602, 18802, 269, 769, 1249, 267, 972, 941, 865, 1082, 3957, 24377, 543, 9341, 15420, 602, 585, 1152, 519, 2034, 942, 538, 1686, 267, 519, 715, 16703, 1185, 547, 16702, 883, 519, 5259, 9904, 1175, 547, 581, 2111, 547, 2012, 873, 782, 563, 9617, 1215, 27275, 3657, 1284, 32695, 888, 295, 584, 21814, 666, 798, 930, 2527, 9552, 543, 538, 2490, 1942, 1804, 13075, 5666, 538, 14796, 267, 855, 6159, 345, 1176, 2614, 267, 621, 779, 711, 1152, 519, 24377, 602, 616, 3257, 713, 563, 1103, 476, 1708, 271, 267, 621, 729, 4080, 602, 476, 1691, 540, 519, 4013, 4365, 12469, 941, 4049, 19711, 28323, 267, 543, 930, 540, 799, 25793, 1078, 30635, 1645, 14324, 29777, 607, 1134, 269, 774, 8974, 28323, 1810, 1406, 5806, 3729, 267, 789, 4755, 9170, 543, 1282, 782, 12405, 540, 519, 1032, 563, 1103, 27228, 538, 4864, 476, 1708, 271, 267, 513, 2582, 7088, 1062, 2968, 5393, 14124, 269, 589, 9583, 6093, 1899, 540, 19711, 28323, 1011, 10757, 883, 513, 632, 516, 11155, 630, 31138, 899, 513, 28575, 855, 609, 2786, 11060, 12798, 3079, 540, 2220, 26325, 3283, 264, 543, 12936, 811, 982, 476, 1015, 2929, 14143, 540, 8970, 4610, 267, 602, 779, 936, 476, 1556, 260, 540, 519, 3003, 2197, 779, 8970, 4610, 563, 1103, 623, 29301, 334, 267, 30339, 543, 14700, 616, 1100, 21046, 547, 519, 1858, 269, 4658, 1419, 2911, 827, 519, 7088, 602, 968, 3306, 9464, 623, 29301, 334, 1848, 769, 2038, 4873, 476, 4572, 272, 267, 8731, 1370, 658, 22856, 2220, 8215, 519, 23916, 5211, 547, 513, 13304, 2647, 543, 476, 1428, 3952, 2620, 538, 930, 4025, 269, 1703, 729, 2911, 602, 519, 2669, 17167, 3576, 1082, 2729, 267, 1519, 15146, 12427, 945, 18423, 693, 960, 547, 6494, 856, 21855, 563, 3674, 901, 519, 1715, 16453, 888, 2691, 621, 2501, 547, 4365, 19951, 267, 621, 4667, 602, 476, 1708, 271, 18387, 1406, 2731, 1044, 606, 7979, 1512, 267, 855, 538, 1249, 621, 779, 4742, 519, 1007, 3339, 563, 1708, 271, 729, 519, 476, 1015, 628, 15654, 1032, 609, 693, 2547, 5216, 5479, 1673, 20683, 12469, 269, 1280, 476, 1001, 279, 543, 476, 1001, 280, 267, 649, 4718, 513, 5916, 2698, 540, 1269, 15793, 5479, 538, 14796, 267, 543, 538, 476, 1001, 278, 267, 519, 3441, 2698, 729, 936, 1269, 4968, 5479, 563, 1805, 768, 338, 616, 3339, 1765, 6343, 779, 4957, 568, 602, 741, 4908, 543, 8515, 616, 6029, 1100, 4191, 540, 32033, 269, 2334, 779, 1946, 607, 513, 1753, 610, 1870, 8227, 621, 779, 1271, 547, 1491, 8726, 15416, 616, 2009, 563, 5591, 2339, 519, 15416, 596, 1491, 267, 621, 779, 1271, 547, 917, 602, 1919, 616, 3564, 707, 1852, 693, 2053, 269, 1924, 3314, 596, 4076, 3893, 513, 3659, 538, 519, 11808, 2872, 4171, 3804, 568, 547, 9156, 707, 12595, 3688, 543, 11177, 707, 3959, 834, 12024, 621, 2760, 1256, 5949, 4799, 2691, 15420, 798, 3441, 267, 649, 979, 547, 960, 547, 1118, 1919, 1318, 269, 13555, 590, 27263, 24165, 2221, 547, 1294, 875, 649, 666, 948, 269, 0, 3528, 700, 4768, 534, 3026, 1120, 320, 731, 454, 2690, 938, 1863, 11452, 6855, 3795, 267, 1451, 811, 1934, 563, 3080, 8929, 540, 8330, 571, 313, 523, 29132, 610, 26172, 6500, 814, 3592, 1100, 1198, 1996, 519, 18647, 3644, 15817, 10825, 6385, 1472, 519, 1158, 267, 855, 1007, 3943, 1382, 9060, 602, 1079, 795, 11274, 1683, 2178, 4027, 563, 12867, 689, 5333, 779, 30854, 584, 4659, 4080, 1007, 2963, 538, 519, 4760, 7186, 602, 2407, 12674, 568, 2565, 563, 1103, 8047, 4255, 267, 1973, 689, 1896, 18797, 1004, 2016, 741, 1101, 9570, 540, 519, 26172, 6500, 610, 8330, 571, 313, 523, 29132, 10074, 968, 321, 732, 569, 7409, 1243, 892, 519, 18647, 14583, 267, 519, 2319, 4080, 1547, 1809, 4374, 1310, 3478, 741, 2034, 9570, 267, 5176, 782, 1185, 1018, 3173, 16363, 606, 4761, 5818, 2178, 2614, 547, 9243, 1047, 519, 3968, 2443, 1256, 952, 621, 9863, 513, 2370, 1447, 14984, 982, 1996, 4505, 8747, 540, 519, 3644, 563, 4913, 267, 538, 1483, 1158, 2175, 267, 3173, 538, 6628, 1336, 602, 1256, 835, 9570, 540, 26172, 6500, 3177, 476, 11463, 829, 1298, 10171, 540, 4027, 1996, 6413, 5314, 267, 543, 8330, 571, 313, 523, 29132, 3177, 476, 10170, 2600, 4027, 1310, 835, 795, 629, 563, 763, 1482, 1353, 1336, 1079, 13066, 540, 519, 26172, 6500, 6669, 729, 476, 9834, 829, 1298, 8825, 1996, 6413, 5314, 609, 519, 18647, 14583, 543, 476, 6434, 829, 1298, 2500, 1996, 31916, 3968, 269, 2334, 4466, 729, 16079, 539, 2063, 15964, 676, 8225, 3173, 267, 1247, 513, 1867, 689, 5840, 6700, 4027, 1996, 7646, 18647, 3968, 949, 723, 1019, 5529, 2539, 267, 547, 476, 5038, 829, 1298, 563, 763, 3943, 3173, 849, 7318, 796, 341, 3147, 3990, 1004, 945, 1185, 15068, 513, 536, 719, 540, 519, 11452, 267, 543, 1336, 741, 12489, 941, 2185, 24670, 1447, 14984, 1996, 519, 1007, 30354, 269, 1809, 513, 2582, 6669, 9570, 13497, 5818, 539, 741, 17193, 2157, 2443, 26354, 3444, 3491, 339, 1254, 1996, 519, 18232, 14583, 543, 1079, 824, 4573, 1218, 563, 11577, 2642, 1282, 3127, 779, 30481, 12176, 4505, 713, 1032, 267, 18647, 568, 6059, 547, 581, 476, 2568, 829, 1298, 811, 11763, 982, 24488, 267, 519, 14583, 602, 16397, 6628, 936, 519, 1007, 1032, 267, 543, 10199, 7466, 607, 11763, 607, 519, 3312, 3644, 1101, 4857, 538, 18961, 7315, 267, 3624, 267, 538, 5130, 476, 1708, 271, 563, 763, 6115, 5403, 4080, 5094, 4681, 689, 634, 1715, 4789, 4750, 540, 6925, 602, 5267, 519, 18647, 14583, 568, 1447, 11630, 547, 9243, 5314, 676, 519, 12489, 6383, 676, 2550, 945, 1185, 16626, 689, 5046, 543, 1223, 556, 29795, 1346, 945, 1185, 2907, 28815, 519, 2068, 563, 18773, 5563, 616, 1147, 3101, 998, 5095, 609, 1970, 12674, 3928, 269, 3220, 18842, 3559, 548, 9546, 839, 5652, 267, 8689, 540, 519, 2475, 2578, 637, 585, 8376, 6513, 543, 10644, 267, 1767, 602, 779, 3056, 547, 968, 18314, 18408, 892, 2443, 3810, 6375, 2213, 2220, 520, 1127, 540, 3013, 616, 3478, 1394, 547, 3339, 1247, 6413, 5314, 568, 8375, 538, 824, 4025, 563, 22154, 4028, 4473, 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 ]
[ 1216, 11517, 5860, 269, 15394, 519, 1377, 693, 799, 1216, 11517, 2242, 883, 5277, 7436, 519, 3490, 540, 519, 6531, 538, 519, 5790, 8754, 1572, 28198, 1377, 563, 13295, 649, 6338, 606, 21933, 1664, 6678, 531, 6853, 7852, 543, 6678, 531, 6853, 3109, 3515, 607, 5205, 281, 3962, 1899, 2618, 668, 564, 11551, 513, 3586, 2837, 269, 2311, 1101, 16145, 972, 568, 2370, 11696, 28917, 1063, 519, 12125, 267, 855, 952, 519, 5750, 568, 29352, 676, 562, 27197, 5232, 543, 6743, 693, 538, 513, 11604, 519, 11696, 28917, 3587, 7805, 563, 763, 7299, 3515, 3254, 538, 519, 5750, 616, 519, 3586, 24766, 2837, 3515, 543, 782, 519, 2798, 4092, 2059, 513, 1880, 7299, 1899, 723, 1482, 24766, 2837, 269, 634, 632, 342, 1448, 2837, 568, 3160, 547, 519, 4628, 15459, 3819, 15941, 610, 6632, 15941, 5210, 269, 1548, 568, 5369, 668, 13011, 15873, 286, 0, 279, 1919, 3330, 856, 11414, 13588, 827, 4664, 3965, 543, 519, 2247, 15970, 3211, 585, 31852, 563, 1231, 728, 856, 1863, 7792, 2534, 9212, 513, 1906, 2110, 9413, 15970, 3211, 563, 6011, 547, 2385, 609, 4656, 887, 2421, 985, 559, 591, 2006, 1260, 15970, 3211, 585, 31852, 563, 1231, 728, 856, 4664, 543, 4606, 7792, 2534, 9212, 3756, 15970, 3211, 1863, 563, 8001, 532, 1565, 3211, 2592, 4976, 2979, 585, 3214, 1863, 23454, 1071, 3797, 563, 335, 27348, 3330, 856, 585, 1514, 4600, 11953, 20584, 960, 15970, 3211, 593, 9015, 563, 276, 1187, 8901, 4656, 9251, 518, 3211, 15970, 2035, 585, 9656, 1863, 2462, 543, 1507, 9251, 1523, 960, 563, 16451, 1196, 3386, 2012, 16439, 7792, 3211, 585, 2259, 15970, 593, 9015, 563, 548, 611, 1071, 15970, 3211, 689, 519, 3330, 856, 2837, 538, 8022, 1983, 7824, 563, 2181, 1613, 3308, 8901, 4987, 15970, 1983, 3211, 689, 519, 1071, 7824, 563, 6748, 519, 7260, 3330, 856, 607, 513, 3391, 5000, 707, 1126, 547, 1865, 2947, 4664, 3254, 2429, 2534, 3478, 917, 1250, 5748, 15970, 3211, 7824, 563, 1231, 728, 856, 5133, 2921, 3211, 585, 10962, 3446, 6586, 2719, 543, 6965, 15970, 1101, 1071, 563, 637, 3145, 6536, 1416, 1344, 4976, 2594, 5329, 609, 7792, 3211, 15970, 1863, 563, 1504, 3382, 15970, 3211, 689, 519, 3330, 856, 3797, 563, 1811, 547, 1491, 519, 6560, 856, 540, 6780, 2022, 15970, 3211, 538, 23882, 563, 13548, 2760, 2247, 519, 1053, 6780, 17337, 3237, 1007, 2053, 15970, 3211, 3797, 563, 1811, 547, 946, 3330, 856, 4001, 6565, 543, 22705, 17498, 15970, 3211, 1863, 563, 326, 5050, 1863, 9251, 16439, 3211, 15970, 585, 31852, 563, 1231, 728, 856, 7260, 4976, 2093, 585, 1072, 1362, 15970, 3211, 1164, 25217, 1053, 563, 28090, 10445, 519, 1379, 543, 3483, 540, 18295, 2634, 676, 606, 3330, 856, 2835, 1920, 5718, 4099, 15970, 3211, 538, 23882, 563, 1231, 728, 856, 4606, 543, 22196, 2994, 3211, 15970, 2790, 1072, 7824, 563, 1492, 16540, 1379, 543, 3483, 540, 18295, 2634, 676, 606, 3330, 856, 15970, 3211, 593, 9015, 563, 1231, 728, 856, 7792, 513, 22282, 8945, 2534, 9212, 543, 3756, 1071, 15970, 3797, 3211, 563, 1492, 6530, 540, 3330, 856, 513, 4190, 3992, 538, 3929, 15970, 3211, 593, 9015, 563, 325, 3555, 5750, 7333, 1676, 7792, 2979, 3211, 693, 15970, 538, 23882, 7824, 563, 2745, 762, 2458, 720, 3330, 856, 2534, 9212, 1071, 15970, 3211, 563, 15640, 538, 519, 10145, 23519, 7792, 3211, 15970, 585, 1053, 533, 3330, 856, 7260, 945, 1983, 3797, 563, 1231, 728, 856, 7792, 513, 22282, 8945, 2534, 9212, 543, 3756, 15970, 3211, 538, 23882, 269, 0, 1607, 2376, 2882, 513, 1592, 540, 8100, 267, 855, 922, 2959, 2611, 15458, 1317, 621, 814, 13385, 538, 1467, 14327, 269, 630, 20826, 476, 1001, 275, 264, 630, 9596, 875, 543, 950, 547, 4894, 713, 10959, 5048, 994, 763, 17189, 11135, 540, 918, 3121, 13323, 630, 30153, 24047, 3576, 1747, 538, 519, 2038, 3108, 540, 476, 277, 5147, 476, 3707, 274, 1282, 2622, 2782, 4083, 543, 729, 1063, 2136, 2276, 543, 5545, 9635, 1055, 519, 5032, 540, 30709, 4861, 836, 4673, 538, 519, 21125, 11866, 563, 4002, 476, 276, 5147, 267, 2136, 2276, 13108, 17130, 6828, 476, 3607, 269, 272, 630, 307, 294, 476, 3607, 269, 272, 264, 734, 12252, 539, 676, 681, 792, 31288, 9546, 6577, 700, 269, 589, 1231, 10290, 543, 9967, 540, 519, 1769, 2267, 23924, 2475, 306, 12968, 565, 21343, 2073, 2475, 306, 853, 269, 8402, 2073, 543, 2475, 306, 4477, 6511, 2073, 7132, 2185, 6861, 619, 267, 1185, 4607, 2262, 540, 1776, 834, 27717, 14623, 18124, 257, 5692, 1524, 834, 1492, 6215, 582, 257, 538, 519, 21125, 11866, 267, 543, 519, 4305, 1895, 8399, 539, 22070, 2250, 1715, 11908, 6816, 563, 763, 27469, 941, 538, 519, 1184, 540, 22745, 741, 1985, 18086, 538, 519, 21125, 11866, 267, 2348, 1175, 15354, 10136, 593, 519, 6532, 540, 681, 754, 13960, 607, 513, 16861, 1900, 547, 694, 1944, 519, 2101, 5545, 513, 1009, 8692, 693, 631, 1495, 320, 593, 1715, 11908, 6816, 269, 769, 1489, 540, 713, 13941, 267, 799, 729, 547, 1305, 909, 606, 3355, 11824, 3650, 585, 3001, 772, 2529, 269, 10136, 2066, 2349, 534, 3832, 19305, 547, 1715, 11908, 267, 31288, 589, 1231, 10290, 1185, 519, 3781, 1354, 5342, 513, 2267, 16014, 10514, 731, 618, 540, 966, 10042, 593, 30709, 4861, 836, 4673, 6816, 543, 645, 23879, 14150, 593, 1715, 11908, 543, 267, 2110, 540, 4492, 543, 993, 32099, 267, 729, 538, 519, 1184, 540, 1427, 3931, 547, 519, 4856, 531, 7256, 547, 25579, 880, 269, 589, 772, 2529, 269, 13149, 13941, 729, 16516, 593, 519, 7187, 13272, 540, 1715, 11908, 593, 476, 1015, 5147, 267, 602, 1131, 2154, 2417, 17189, 1489, 563, 4263, 476, 4905, 281, 6187, 1055, 30709, 4861, 836, 4673, 267, 519, 4305, 1895, 3357, 883, 3346, 609, 513, 5545, 15699, 1895, 26017, 676, 31288, 6833, 340, 334, 589, 7288, 344, 4821, 799, 15538, 540, 4557, 6861, 619, 16041, 609, 476, 273, 267, 7785, 8396, 10136, 602, 941, 3808, 585, 966, 10042, 267, 799, 789, 1031, 607, 513, 588, 1645, 1448, 585, 3001, 883, 631, 1495, 320, 269, 634, 5545, 941, 5258, 883, 1079, 4229, 267, 513, 5250, 540, 1614, 26603, 2176, 911, 4979, 519, 1292, 6241, 1101, 3357, 896, 4323, 563, 763, 772, 2529, 269, 9635, 8118, 3595, 693, 476, 4905, 281, 6872, 267, 20590, 476, 277, 1321, 16115, 538, 476, 2641, 3764, 543, 3670, 7643, 267, 3533, 29855, 519, 6861, 518, 15281, 714, 25431, 543, 11318, 31288, 589, 7288, 344, 4821, 269, 1717, 267, 4477, 6511, 1185, 1163, 2105, 782, 540, 1200, 8755, 1652, 8869, 519, 3105, 3781, 267, 1352, 729, 7142, 547, 946, 15137, 6804, 8869, 267, 3976, 27283, 9887, 547, 519, 5545, 9635, 609, 1169, 2892, 17383, 269, 5565, 540, 519, 5545, 6861, 619, 9250, 741, 7043, 700, 766, 8731, 6244, 3996, 543, 5734, 4477, 6511, 267, 3170, 958, 14124, 1200, 269, 634, 1292, 5545, 3196, 267, 799, 1185, 4831, 332, 2117, 1117, 2476, 689, 966, 10042, 609, 519, 1101, 3346, 267, 1287, 13264, 2476, 267, 2348, 15354, 1152, 476, 25616, 540, 519, 476, 273, 267, 7785, 10136, 269, 634, 5545, 6861, 518, 18491, 1846, 25431, 10443, 989, 1037, 267, 1247, 670, 1846, 8500, 25431, 729, 8697, 563, 13828, 4229, 3459, 547, 11198, 689, 519, 1858, 267, 855, 835, 5545, 543, 1079, 1977, 6861, 619, 7283, 547, 15063, 15000, 269, 2311, 827, 476, 4962, 281, 876, 267, 519, 6861, 619, 2549, 698, 21105, 543, 2475, 306, 22956, 22121, 8731, 6244, 3996, 543, 7784, 13933, 269, 2549, 698, 21105, 729, 5734, 543, 19622, 269, 634, 581, 3737, 18491, 1846, 25431, 729, 14460, 676, 1200, 12284, 538, 519, 6640, 267, 1352, 729, 10514, 539, 543, 10032, 676, 1977, 8484, 563, 4263, 519, 1482, 942, 607, 713, 6370, 729, 11200, 532, 267, 1776, 2475, 17189, 4305, 3196, 540, 1079, 6861, 619, 267, 2475, 306, 16200, 543, 2475, 306, 4258, 1998, 1512, 1185, 9411, 645, 23879, 14150, 23320, 7404, 547, 1683, 7387, 532, 1489, 585, 2475, 18858, 3591, 15354, 693, 19676, 31745, 4392, 4505, 602, 1554, 269, 769, 519, 2038, 3108, 540, 519, 6640, 513, 8731, 6244, 334, 729, 19481, 14656, 799, 5734, 519, 2475, 306, 16200, 593, 1200, 2823, 2427, 513, 1111, 267, 799, 8507, 538, 519, 2530, 540, 519, 6861, 518, 563, 763, 14603, 7392, 476, 11152, 8731, 6244, 334, 729, 513, 1259, 1189, 7043, 700, 766, 799, 3357, 689, 513, 2892, 17383, 17991, 676, 519, 5545, 6861, 619, 267, 3366, 676, 15281, 714, 25431, 267, 8185, 7722, 538, 519, 5094, 17189, 2962, 609, 1977, 1769, 2267, 23924, 543, 6861, 619, 2143, 1657, 267, 689, 513, 3845, 540, 476, 1556, 562, 27658, 5195, 630, 736, 5998, 1070, 543, 568, 5156, 547, 581, 13074, 24365, 3811, 8731, 6244, 334, 4323, 538, 1686, 2336, 763, 6861, 619, 2475, 306, 7101, 5112, 543, 22956, 1312, 18423, 3297, 547, 15063, 15000, 689, 4477, 6511, 269, 2755, 11324, 5224, 936, 476, 16020, 2367, 267, 7101, 5112, 543, 22956, 1185, 547, 556, 1263, 720, 519, 10546, 1614, 2053, 267, 789, 941, 13752, 519, 30814, 5149, 27375, 585, 741, 15063, 269, 2549, 698, 21105, 23012, 543, 2663, 15155, 4364, 543, 2759, 538, 3368, 519, 5179, 8731, 6244, 334, 10935, 2475, 306, 25280, 268, 11820, 267, 3061, 7134, 676, 2104, 5518, 540, 519, 2136, 2276, 3627, 674, 269, 17394, 630, 4489, 278, 268, 3422, 274, 1070, 538, 4563, 9116, 26463, 22236, 540, 30709, 4861, 836, 4673, 593, 4864, 476, 273, 269, 0, 763, 2825, 1966, 540, 3127, 568, 10416, 540, 519, 1739, 1826, 267, 519, 1852, 540, 799, 786, 2327, 4264, 1646, 563, 272, 269, 15510, 32278, 563, 273, 269, 21091, 2244, 946, 4058, 563, 274, 269, 13245, 5186, 680, 663, 543, 31922, 563, 275, 269, 8381, 2244, 543, 10664, 540, 3338, 563, 276, 269, 11094, 540, 6211, 4763, 563, 277, 269, 6513, 540, 5533, 538, 1216, 543, 2011, 563, 278, 269, 4886, 540, 1875, 1790, 3326, 5024, 7791, 1648, 1062, 563, 279, 269, 27822, 540, 3653, 543, 22016, 563, 280, 269, 8278, 10999, 15095, 1480, 17260, 1519, 1793, 636, 6454, 563, 1015, 269, 7025, 2069, 543, 4656, 693, 782, 2157, 563, 1556, 269, 5455, 323, 908, 2825, 4031, 563, 1321, 269, 1715, 7516, 547, 3084, 3354, 269, 0, 1607, 11728, 267, 513, 17079, 538, 7046, 7704, 299, 267, 7000, 676, 3354, 3173, 693, 26467, 523, 5669, 517, 606, 4830, 3354, 6109, 543, 849, 693, 5616, 267, 568, 3957, 9839, 1076, 539, 269, 5565, 3791, 540, 519, 3742, 1158, 2647, 7270, 616, 19847, 676, 713, 3354, 16950, 563, 8269, 518, 2590, 547, 9839, 1076, 539, 267, 23745, 5576, 928, 1512, 513, 3354, 4274, 5206, 538, 1010, 5816, 2022, 713, 3018, 912, 4002, 519, 4336, 540, 476, 272, 547, 476, 1015, 267, 713, 568, 606, 476, 1556, 563, 15368, 1227, 267, 606, 30429, 666, 10544, 476, 5038, 298, 540, 3965, 689, 513, 7746, 269, 634, 4323, 3762, 1100, 10250, 267, 543, 666, 581, 2944, 2789, 2053, 547, 10544, 513, 1114, 4351, 476, 5038, 298, 540, 3965, 269, 901, 1797, 602, 4376, 538, 3965, 4534, 9399, 299, 4357, 10569, 267, 3593, 10569, 267, 4376, 4534, 568, 7925, 269, 1656, 596, 723, 547, 8263, 602, 621, 568, 782, 19847, 269, 2353, 540, 621, 563, 257, 29272, 770, 13116, 257, 568, 519, 1318, 2262, 269, 2201, 519, 4336, 540, 476, 272, 547, 476, 1015, 267, 713, 568, 606, 476, 1556, 563, 763, 17079, 814, 1044, 1273, 3481, 269, 2991, 596, 15429, 707, 1949, 267, 596, 723, 547, 1205, 513, 1007, 1857, 270, 1440, 10675, 1883, 6292, 267, 9337, 707, 9399, 299, 15149, 267, 543, 1287, 1689, 1169, 10957, 602, 1223, 5732, 581, 4299, 563, 4263, 713, 1448, 267, 519, 5506, 568, 2673, 547, 835, 602, 1169, 3077, 814, 1185, 922, 4357, 10569, 13939, 676, 2789, 4987, 8041, 269, 634, 1483, 2243, 568, 2436, 610, 711, 2576, 22393, 17332, 713, 17079, 883, 7046, 7704, 299, 267, 543, 814, 1185, 1079, 1296, 540, 4652, 9116, 1229, 1569, 547, 3388, 269, 3733, 7058, 568, 8009, 267, 855, 594, 723, 1100, 6169, 269, 634, 865, 10777, 17079, 729, 7000, 593, 11728, 267, 543, 621, 779, 3533, 2808, 607, 513, 7887, 3354, 13438, 538, 2780, 1686, 563, 29587, 1076, 539, 568, 513, 21472, 17079, 1336, 538, 7046, 7704, 299, 4528, 476, 272, 269, 271, 269, 272, 543, 476, 272, 269, 271, 269, 273, 1532, 9508, 912, 763, 9839, 1076, 539, 17079, 2636, 4896, 593, 519, 5769, 547, 1224, 519, 3965, 540, 519, 1949, 6870, 676, 519, 7925, 8747, 540, 519, 7046, 7704, 299, 3301, 269, 901, 8332, 2478, 519, 5728, 10569 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4785, 476, 23841, 280, 3953, 273, 589, 454, 288, 3002, 9401, 9734, 5161, 540, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 667, 9680, 547, 519, 19976, 5011, 540, 519, 10824, 609, 18761, 8728, 540, 8424, 540, 7755, 334, 1456, 10824, 20177, 1927, 547, 5581, 9757, 2095, 735, 25902, 585, 519, 3002, 5385, 12862, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 998, 476, 5197, 667, 9680, 609, 2463, 547, 519, 7755, 334, 1456, 6676, 865, 602, 519, 1351, 2607, 725, 3444, 835, 1776, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 1776, 267, 588, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 547, 13822, 513, 27532, 3002, 5385, 24386, 610, 3002, 3613, 4392, 13111, 563, 5141, 2727, 338, 2139, 538, 454, 20373, 630, 8016, 305, 1257, 949, 2270, 6959, 994, 4462, 924, 2276, 30171, 476, 272, 715, 817, 518, 1696, 620, 563, 314, 9340, 476, 274, 267, 4037, 280, 267, 27088, 1496, 26493, 20029, 269, 476, 1240, 267, 3192, 274, 454, 272, 476, 272, 16777, 2969, 12327, 6224, 20315, 2207, 476, 18023, 832, 281, 31133, 531, 4432, 20550, 715, 817, 518, 267, 623, 272, 534, 1122, 326, 282, 961, 753, 9546, 323, 10458, 267, 9986, 325, 337, 1846, 20377, 639, 523, 267, 1312, 540, 5125, 476, 25849, 2465, 281, 14811, 324, 1325, 26152, 10622, 20635, 577, 10762, 2676, 310, 625, 21112, 523, 267, 5125, 476, 21854, 674, 6150, 281, 20029, 269, 476, 1704, 267, 476, 3192, 272, 476, 21076, 10331, 269, 3143, 12727, 476, 8687, 267, 276, 1240, 454, 14579, 13335, 13405, 640, 4578, 4239, 269, 476, 272, 267, 476, 3192, 272, 5125, 623, 476, 736, 476, 4366, 476, 4343, 277, 269, 278, 454, 7367, 2475, 269, 1849, 269, 476, 13679, 270, 14917, 476, 2271, 269, 1849, 674, 27005, 476, 274, 270, 876, 1496, 6812, 348, 12197, 540, 9612, 476, 13679, 270, 14917, 267, 476, 15757, 454, 22108, 24764, 6167, 3951, 3633, 29865, 2464, 623, 2969, 19006, 476, 274, 267, 13301, 267, 28803, 476, 274, 270, 3422, 277, 1488, 6996, 476, 13679, 270, 15757, 476, 274, 267, 6321, 279, 267, 278, 4792, 476, 274, 270, 3192, 272, 23951, 2784, 476, 13679, 270, 14917, 476, 1015, 270, 3422, 280, 570, 14309, 523, 321, 1075, 615, 476, 278, 270, 3192, 272, 30338, 12729, 1401, 3133, 518, 268, 28846, 808, 269, 3733, 327, 516, 19608, 1401, 3133, 518, 268, 763, 17232, 654, 269, 6790, 2544, 267, 12789, 269, 30374, 11860, 22611, 674, 269, 17664, 476, 9474, 22552, 16898, 589, 3002, 9401, 9734, 5161, 540, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 547, 519, 19976, 5011, 540, 519, 10824, 609, 18761, 8728, 540, 8424, 540, 7755, 334, 1456, 10824, 20177, 1927, 547, 5581, 9757, 2095, 735, 25902, 585, 519, 3002, 5385, 12862, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 998, 476, 5197, 609, 2463, 547, 519, 7755, 334, 1456, 6676, 865, 602, 519, 1351, 2607, 725, 3444, 835, 1776, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 606, 582, 1156, 560, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 547, 13822, 513, 27532, 3002, 5385, 24386, 610, 3002, 3613, 4392, 13111, 563, 278, 28787, 338, 267, 476, 277, 14301, 22955, 589, 589, 292, 15829, 262, 1775, 267, 2073, 278, 594, 966, 594, 262, 594, 476, 272, 476, 275, 476, 276, 25420, 4149, 18694, 561, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 7537, 3201, 700, 5442, 7730, 306, 2207, 674, 296, 23177, 1422, 292, 3201, 291, 6938, 3198, 301, 5442, 309, 7728, 27633, 15760, 544, 561, 1775, 13078, 3248, 2969, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 274, 267, 4037, 280, 267, 27088, 454, 276, 25420, 4149, 18694, 476, 273, 674, 347, 294, 269, 273, 522, 2641, 670, 9083, 273, 561, 273, 16658, 269, 277, 454, 294, 4456, 3201, 20700, 667, 2562, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 5442, 309, 7728, 27633, 10127, 17953, 11083, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 274, 267, 4037, 280, 267, 27088, 454, 276, 25420, 4149, 18694, 476, 274, 16658, 269, 274, 454, 294, 4456, 3201, 20700, 476, 271, 332, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 561, 301, 309, 7728, 27633, 11083, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 276, 25420, 4149, 18694, 476, 275, 681, 661, 590, 590, 589, 715, 594, 476, 273, 570, 476, 276, 28679, 476, 277, 631, 7711, 272, 544, 530, 15829, 476, 279, 561, 544, 267, 834, 307, 6515, 21191, 476, 275, 670, 476, 277, 561, 961, 650, 961, 961, 961, 331, 592, 335, 269, 1627, 570, 513, 589, 8150, 476, 277, 570, 530, 642, 570, 1775, 642, 476, 273, 642, 476, 272, 570, 1775, 561, 966, 552, 544, 589, 7117, 586, 808, 530, 808, 589, 561, 642, 476, 278, 513, 281, 544, 476, 277, 454, 2969, 307, 3036, 20911, 312, 30171, 1196, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 276, 25420, 4149, 18694, 476, 276, 717, 4456, 3201, 20700, 667, 2562, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 5442, 309, 7728, 27633, 563, 289, 312, 12103, 476, 24798, 338, 3248, 2969, 307, 3036, 20911, 312, 16777, 2969, 12327, 6224, 20315, 2207, 595, 4629, 7704, 268, 3918, 29052, 9970, 9215, 23781, 28714, 6673, 12195, 2975, 25972, 674, 296, 5085, 291, 5508, 5990, 5442, 309, 2894, 3582, 634, 8216, 3498, 12211, 547, 3002, 7721, 577, 9734, 3889, 585, 519, 2500, 4483, 540, 3002, 1851, 1079, 610, 811, 12862, 543, 267, 811, 3226, 267, 547, 513, 3002, 9401, 9734, 5665, 693, 2547, 538, 851, 593, 27532, 3741, 563, 289, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 17934, 15178, 3002, 9401, 13377, 267, 538, 799, 8424, 540, 11105, 10824, 5581, 2095, 20830, 585, 835, 610, 811, 12862, 9862, 547, 29906, 519, 10518, 540, 10824, 1063, 513, 5714, 17752, 543, 513, 5714, 29504, 616, 1134, 1634, 538, 519, 1148, 607, 513, 3982, 1826, 540, 3002, 9401, 9734, 267, 547, 581, 3379, 610, 4334, 539, 609, 8546, 5991, 652, 3002, 7721, 577, 13377, 543, 8546, 321, 1495, 548, 3002, 9401, 13377, 269, 769, 6676, 15178, 3002, 9401, 13377, 267, 32047, 267, 621, 814, 1044, 6069, 547, 1683, 1351, 2607, 730, 10824, 610, 547, 22775, 519, 10824, 811, 610, 1447, 25144, 538, 1931, 547, 3895, 31285, 543, 2333, 519, 3002, 10520, 2536, 2557, 689, 835, 5714, 547, 519, 824, 998, 519, 6676, 6438, 3774, 19459, 519, 9757, 2095, 735, 25902, 269, 1280, 519, 1034, 851, 267, 6676, 15178, 3002, 9401, 13377, 540, 6671, 4070, 616, 7199, 267, 723, 13385, 3002, 7721, 4219, 4398, 543, 3112, 581, 19632, 10375, 569, 269, 5015, 267, 789, 949, 581, 6353, 676, 513, 3668, 540, 17545, 585, 3875, 12862, 543, 2409, 540, 3002, 4483, 563, 4263, 713, 1448, 267, 649, 1058, 2446, 602, 3875, 12331, 540, 3002, 4483, 616, 1455, 538, 519, 1148, 269, 769, 1463, 3002, 5385, 267, 585, 1383, 267, 835, 3002, 20675, 2536, 5714, 949, 581, 5293, 538, 4831, 268, 9690, 547, 519, 824, 630, 324, 3052, 269, 950, 519, 1101, 568, 513, 8375, 3154, 543, 519, 2034, 568, 513, 27312, 1225, 1555, 540, 5277, 264, 865, 602, 519, 3002, 540, 519, 5449, 568, 11843, 547, 519, 8545, 676, 1463, 3346, 543, 1510, 1022, 26740, 3002, 4859, 610, 1510, 1022, 25801, 4483, 1063, 873, 269, 769, 835, 9940, 3002, 20675, 2536, 4480, 267, 835, 3002, 7721, 4219, 5714, 568, 5293, 998, 513, 2095, 26654, 540, 513, 646, 622, 343, 577, 9734, 3989, 676, 513, 5687, 958, 25801, 3774, 799, 8195, 568, 30409, 593, 519, 6587, 2427, 676, 513, 2034, 3002, 20675, 2536, 5714, 269, 4014, 519, 4483, 540, 3002, 547, 519, 3774, 676, 519, 15911, 5714, 543, 519, 4726, 335, 512, 542, 540, 3002, 689, 519, 3774, 676, 519, 16830, 5714, 3217, 1747, 8195, 267, 519, 4483, 568, 18562, 9940, 2094, 621, 3340, 519, 10827, 776, 540, 519, 3774, 269, 769, 713, 2013, 267, 519, 3774, 11151, 11544, 540, 519, 12862, 855, 2636, 3002, 4483, 689, 835, 547, 519, 824, 269, 769, 1776, 538, 1463, 3002, 7721, 4219, 7154, 267, 513, 3002, 3613, 4392, 13111, 568, 3177, 538, 519, 3002, 9401, 9734, 543, 949, 581, 30409, 609, 513, 5266, 3636, 5714, 547, 6318, 519, 2837, 540, 519, 2527, 543, 13604, 676, 513, 5266, 3579, 5714, 547, 7493, 3002, 689, 519, 2527, 269, 634, 27727, 540, 3002, 689, 519, 2527, 949, 581, 2808, 513, 4859, 540, 4411, 972, 514, 267, 519, 4411, 1373, 11843, 547, 513, 5266, 341, 3636, 5714, 693, 519, 1376, 540, 519, 6404, 4783, 269, 634, 8545, 3002, 7721, 4219, 7154, 568, 1419, 17941, 27532, 267, 2094, 519, 4483, 689, 835, 5714, 547, 519, 824, 3217, 1747, 3842, 513, 8143, 4859, 13111, 543, 538, 1079, 3982, 11775, 9674, 538, 942, 269, 32279, 621, 568, 14909, 547, 946, 513, 3002, 9401, 9734, 585, 21800, 9940, 3002, 5385, 543, 27532, 3002, 5385, 267, 585, 513, 3677, 1297, 540, 12862, 982, 1034, 6671, 3002, 9401, 13377, 666, 6707, 2308, 267, 543, 609, 1164, 646, 622, 343, 4219, 4398, 543, 1970, 3854, 1942, 563, 15477, 297, 4488, 4811, 5508, 5990, 5442, 309, 2894, 3582, 898, 568, 606, 1843, 540, 519, 8798, 547, 1683, 606, 4824, 3002, 9401, 9734, 13296, 519, 27069, 11393, 616, 14284, 563, 2005, 568, 849, 606, 1843, 540, 519, 8798, 547, 1683, 513, 1970, 322, 739, 267, 3810, 11684, 267, 3362, 19632, 543, 1164, 4398, 3002, 9401, 9734, 563, 306, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 1452, 3615, 267, 543, 1866, 799, 786, 1831, 7805, 1934, 2088, 1123, 267, 616, 25189, 538, 13076, 609, 519, 8798, 609, 513, 3002, 9401, 9734, 16030, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 547, 519, 19976, 543, 29529, 5011, 540, 519, 10824, 269, 634, 8545, 723, 27808, 569, 18761, 630, 638, 6621, 1037, 264, 8728, 20177, 547, 519, 8728, 540, 7755, 334, 1456, 10824, 609, 519, 3976, 1790, 8529, 10824, 538, 1394, 3562, 25746, 2078, 609, 519, 11105, 8424, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 630, 4944, 520, 6053, 264, 998, 561, 609, 2463, 547, 519, 20367, 972, 5976, 865, 602, 519, 1351, 2607, 566, 14249, 616, 20102, 15385, 593, 20102, 11105, 10824, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 1776, 267, 588, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 538, 22274, 2078, 547, 13822, 513, 27532, 3002, 7721, 577, 9734, 24386, 563, 1103, 13076, 609, 519, 8798, 543, 609, 3741, 3989, 538, 3498, 5395, 269, 3143, 269, 476, 6507, 274, 267, 5400, 273, 543, 3498, 5395, 269, 3143, 269, 476, 3393, 267, 9032, 277, 5018, 4505, 267, 3002, 7721, 577, 9734, 735, 25902, 616, 2813, 676, 13841, 267, 4421, 1359, 610, 6382, 27575, 1927, 519, 20102, 29270, 17534, 610, 8728, 540, 513, 6292, 540, 1351, 2607, 730, 6656, 2173, 13926, 10824, 267, 519, 10824, 1373, 22274, 689, 835, 1776, 547, 3989, 835, 26654, 543, 5581, 609, 824, 10824, 835, 610, 811, 3606, 735, 25902, 563, 5415, 4481, 267, 3498, 5395, 269, 3143, 269, 476, 6507, 274, 267, 5400, 273, 2488, 513, 3002, 9401, 9734, 538, 799, 519, 1351, 2607, 730, 10824, 1106, 8546, 15985, 956, 269, 4935, 267, 1142, 6292, 540, 8546, 10824, 14084, 538, 14742, 6252, 547, 519, 5044, 540, 20102, 6252, 13740, 547, 581, 4646, 972, 24992, 814, 267, 593, 29270, 5011, 2676, 320, 32469, 540, 22274, 268, 777, 691, 29270, 6677, 822, 885, 610, 1351, 2607, 725, 799, 20102, 11578, 547, 13822, 519, 9757, 13740, 1063, 873, 269, 634, 5266, 6094, 2914, 718, 10824, 616, 23295, 4646, 609, 519, 9757, 6677, 822, 885, 676, 22636, 540, 519, 10824, 538, 519, 6073, 610, 1351, 2607, 725, 609, 1142, 6677, 822, 640, 14178, 936, 606, 9095, 10126, 540, 827, 634, 6677, 822, 885, 616, 9674, 676, 3103, 799, 9114, 538, 513, 5603, 564, 1537, 7077, 540, 519, 5044, 543, 616, 3622, 1544, 541, 865, 607, 547, 581, 1071, 2169, 2400, 609, 519, 7222, 3103, 540, 519, 29270, 6676, 269, 1452, 28937, 267, 950, 1142, 6292, 540, 10824, 568, 19632, 609, 519, 10824, 538, 20102, 29270, 2078, 267, 1106, 519, 17923, 28937, 1063, 1142, 6292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 27240, 1801, 2147, 547, 4860, 30055, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 12532, 543, 681, 728, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1692, 2484, 723, 891, 1053, 15336, 676, 519, 942, 519, 4116, 781, 1286, 10301, 873, 1310, 741, 1668, 13264, 1524, 2496, 2162, 1215, 10787, 6496, 621, 8844, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 519, 3845, 621, 12599, 693, 1142, 3942, 780, 2162, 1215, 6008, 788, 1772, 519, 32437, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4002, 519, 7470, 3177, 267, 649, 666, 2721, 3515, 609, 1114, 27080, 269, 1215, 1082, 1114, 27080, 666, 596, 1265, 286, 2052, 596, 6582, 873, 538, 1931, 540, 14869, 1145, 2496, 2162, 700, 777, 8648, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10521, 7814, 1235, 267, 1316, 2358, 593, 513, 3950, 267, 1780, 1142, 824, 693, 519, 4358, 1899, 543, 979, 693, 3586, 11250, 1862, 2052, 596, 1265, 22272, 2053, 602, 616, 971, 602, 519, 7814, 1235, 786, 2743, 4010, 3368, 1259, 5180, 519, 269, 1547, 1547, 16317, 2162, 5455, 543, 21661, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 922, 7299, 543, 8880, 3350, 693, 1142, 3942, 780, 2162, 23155, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1281, 519, 2990, 540, 519, 1899, 1860, 519, 3830, 540, 519, 1899, 286, 1548, 666, 596, 2161, 827, 519, 4834, 540, 6252, 3515, 2496, 2162, 11272, 31509, 1479, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 18439, 519, 2078, 1063, 4187, 543, 2837, 692, 2162, 22084, 17547, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10521, 21772, 4734, 693, 519, 1482, 942, 689, 1079, 10034, 26757, 17980, 543, 966, 652, 517, 593, 519, 1482, 1279, 4155, 267, 21409, 2509, 1142, 824, 269, 2311, 1142, 13304, 2059, 519, 4155, 616, 19325, 269, 634, 21772, 262, 11250, 616, 3586, 269, 1547, 1547, 16317, 2162, 25927, 908, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 547, 519, 3830, 540, 1114, 3515, 950, 596, 14377, 873, 269, 8347, 547, 3589, 1018, 786, 4755, 269, 11512, 707, 4681, 780, 2162, 27339, 11814, 528, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8624, 937, 607, 1082, 19987, 607, 596, 666, 676, 5373, 1614, 2786, 3515, 780, 2162, 18289, 32190, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 19185, 693, 519, 3113, 910, 950, 729, 519, 1268, 3001, 16595, 286, 20405, 652, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 4188, 519, 7455, 865, 519, 29950, 12772, 609, 2282, 3586, 7299, 6991, 2496, 2162, 14484, 532, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 547, 519, 4834, 540, 1114, 3515, 950, 596, 2992, 873, 538, 835, 540, 519, 17887, 269, 8347, 547, 3589, 1018, 786, 4755, 269, 11512, 707, 4681, 780, 2162, 700, 3539, 543, 4258, 908, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10287, 519, 5528, 543, 596, 666, 1491, 513, 13551, 267, 2759, 621, 883, 476, 275, 4773, 267, 1167, 731, 1079, 1507, 12730, 267, 2322, 1927, 519, 6967, 1079, 4773, 543, 1439, 909, 609, 513, 13551, 519, 1482, 2450, 269, 8347, 621, 2439, 2162, 2311, 9406, 27449, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 6430, 2436, 1079, 3515, 616, 13902, 610, 711, 286, 2052, 596, 798, 713, 1510, 5373, 873, 2496, 2162, 6904, 1772, 4258, 1653, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2691, 594, 6288, 1250, 1286, 538, 4569, 560, 1144, 267, 972, 616, 1079, 1286, 11614, 547, 3442, 689, 269, 6904, 1286, 6288, 1058, 594, 946, 2496, 2162, 5080, 19828, 17992, 725, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 296, 3576, 519, 3113, 586, 284, 275, 343, 266, 278, 543, 5340, 2185, 14759, 269, 2052, 596, 1265, 519, 1931, 538, 799, 594, 1223, 723, 5645, 856, 519, 14759, 2496, 2162, 10965, 5622, 651, 1042, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 1103, 513, 2879, 809, 518, 3014, 519, 6960, 3440, 729, 593, 519, 9067, 540, 519, 17927, 855, 621, 1223, 711, 581, 5734, 2047, 607, 519, 3109, 3440, 729, 538, 519, 1259, 269, 1215, 1223, 621, 581, 1494, 1540, 676, 4730, 519, 3043, 3440, 1055, 513, 31289, 2496, 2162, 3131, 12993, 20514, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 303, 3789, 519, 3515, 865, 602, 789, 616, 13902, 547, 1142, 824, 269, 1548, 666, 596, 2161, 827, 519, 4834, 540, 13902, 3515, 2496, 2162, 631, 10212, 956, 18903, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 666, 1847, 519, 476, 275, 4773, 540, 519, 795, 12127, 1177, 543, 3514, 873, 883, 1312, 14592, 269, 11512, 1018, 814, 5949, 547, 519, 7508, 835, 1770, 540, 1858, 780, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 476, 272, 25451, 13306, 814, 835, 3068, 593, 519, 2666, 543, 835, 3068, 1996, 513, 3774, 269, 589, 476, 275, 25451, 21117, 682, 753, 1996, 519, 3774, 543, 1175, 18953, 519, 13306, 269, 1215, 1164, 568, 519, 1283, 540, 519, 21117, 1657, 519, 2666, 2496, 2162, 3245, 2353, 12397, 619, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 1805, 571, 697, 3515, 616, 6537, 689, 1142, 7944, 540, 513, 4009, 547, 519, 4571, 2798, 540, 519, 6587, 5011, 269, 18124, 519, 1858, 540, 519, 12354, 6782, 602, 568, 4646, 693, 519, 8998, 607, 513, 6824, 540, 519, 1858, 540, 519, 4009, 780, 2162, 6904, 1772, 8262, 3455, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 7617, 568, 8273, 267, 562, 266, 1015, 610, 476, 273, 333, 266, 274, 286, 2052, 596, 1265, 513, 1434, 1505, 540, 16460, 2147, 2055, 2496, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 692, 19868, 334, 2337, 721, 547, 1174, 27080, 540, 3515, 543, 1946, 631, 10212, 956, 18903, 568, 711, 9059, 855, 6128, 269, 6423, 519, 1966, 631, 10212, 956, 9059, 269, 0, 258, 14181, 18602, 692, 296, 5063, 11751, 513, 1433, 540, 14181, 18602, 13410, 693, 606, 19633, 547, 798, 593, 513, 7077, 269, 634, 6727, 8560, 540, 14181, 18602, 814, 14281, 803, 513, 3787, 267, 1317, 4352, 14181, 18602, 568, 513, 1360, 1434, 11015, 28203, 267, 1152, 835, 610, 1079, 13410, 513, 8717, 2731, 5734, 519, 2462, 942, 780, 306, 644, 18602, 814, 513, 2603, 540, 1360, 3551, 8799, 2934, 269, 5502, 540, 1373, 513, 2582, 2182, 11015, 267, 621, 781, 513, 11015, 28203, 267, 2870, 513, 2760, 268, 2056, 1305, 540, 13410, 547, 4194, 269, 22895, 958, 267, 621, 781, 3833, 3551, 547, 4323, 267, 711, 1256, 8506, 1840, 269, 634, 7411, 540, 13410, 9775, 267, 3850, 513, 24626, 547, 4584, 835, 540, 741, 5551, 1377, 269, 1703, 781, 513, 3099, 540, 4277, 2553, 585, 1818, 17429, 2388, 269, 1656, 540, 1576, 267, 519, 3652, 616, 2241, 2614, 547, 2491, 538, 1175, 513, 1906, 3764, 780, 2467, 616, 1896, 9425, 3551, 10509, 514, 13196, 1034, 1004, 946, 585, 1818, 17429, 2388, 538, 14181, 18602, 269, 3689, 267, 596, 666, 8237, 1142, 1591, 883, 8370, 9811, 270, 7224, 2829, 267, 585, 2436, 602, 1591, 568, 1142, 2009, 7857, 269, 667, 9254, 2388, 1287, 2139, 1331, 281, 1403, 972, 781, 1152, 835, 2230, 585, 513, 2016, 7857, 538, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 1287, 602, 1591, 1590, 581, 602, 7857, 269, 1403, 782, 7399, 855, 835, 585, 513, 2582, 1591, 616, 16934, 1287, 602, 1591, 1590, 2270, 519, 6967, 7857, 269, 1403, 782, 2139, 4025, 585, 513, 2016, 7857, 538, 513, 2582, 7449, 13645, 2049, 538, 513, 2582, 4737, 270, 26383, 267, 1287, 602, 7857, 666, 1405, 2408, 9170, 3116, 538, 602, 4737, 270, 26383, 269, 19452, 585, 1624, 675, 2325, 538, 513, 4737, 270, 26383, 799, 782, 616, 538, 519, 1482, 7449, 13645, 269, 7053, 267, 952, 1079, 2281, 1369, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 1142, 1152, 723, 1079, 7399, 2451, 267, 543, 1346, 1502, 756, 559, 2572, 616, 1312, 519, 1482, 267, 1287, 9444, 540, 1346, 9704, 666, 2408, 9170, 3116, 538, 602, 4737, 270, 26383, 4882, 889, 338, 13645, 780, 4322, 2553, 616, 782, 2027, 2665, 540, 1079, 1360, 3532, 4485, 267, 1312, 540, 799, 1413, 1152, 693, 513, 15410, 540, 519, 1634, 11015, 9993, 269, 634, 1101, 835, 568, 602, 649, 11716, 782, 2009, 1239, 855, 2436, 1142, 1591, 568, 513, 1808, 7857, 267, 543, 1118, 17429, 2388, 1369, 602, 15410, 540, 519, 2698, 11015, 9993, 269, 634, 824, 568, 602, 649, 1413, 693, 519, 9450, 1344, 540, 2436, 1142, 1591, 666, 581, 1142, 1808, 7857, 267, 543, 3970, 938, 7744, 547, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 269, 594, 4734, 621, 547, 519, 5467, 547, 4137, 856, 799, 540, 519, 12863, 2553, 616, 513, 2027, 2013, 540, 1142, 540, 519, 811, 2489, 2553, 780, 3682, 21793, 609, 1454, 12863, 2497, 267, 971, 607, 476, 274, 338, 520, 267, 1810, 1405, 723, 10375, 29162, 540, 9993, 799, 666, 581, 1031, 585, 23221, 267, 543, 1995, 814, 9244, 8612, 602, 519, 1655, 1259, 547, 4323, 873, 9688, 1947, 568, 3274, 547, 946, 1394, 10177, 9535, 269, 7982, 10177, 9535, 568, 519, 4480, 1141, 596, 2119, 835, 7872, 267, 543, 960, 693, 621, 2394, 596, 2901, 1265, 513, 3070, 610, 3313, 602, 972, 568, 9039, 538, 602, 1899, 267, 1287, 1847, 593, 547, 824, 7399, 269, 1403, 596, 1810, 1405, 1416, 827, 16798, 2164, 972, 616, 930, 19747, 32094, 2553, 267, 10416, 9967, 540, 2921, 513, 9864, 3070, 543, 3190, 532, 609, 621, 2394, 621, 3587, 513, 2407, 3070, 267, 799, 960, 1732, 269, 594, 1810, 1405, 1589, 972, 616, 1022, 1732, 29162, 585, 946, 593, 14181, 18602, 982, 519, 3283, 594, 5795, 1657, 267, 865, 585, 6061, 20902, 14181, 18602, 609, 2427, 3259, 3152, 982, 476, 274, 707, 1655, 914, 1131, 581, 547, 946, 1312, 17429, 794, 2553, 2394, 789, 1312, 3247, 27548, 2164, 267, 1287, 18992, 547, 1394, 10177, 9535, 780, 763, 1259, 594, 4194, 14181, 18602, 13410, 568, 547, 1101, 4137, 856, 1018, 594, 666, 17429, 576, 1759, 593, 1152, 519, 476, 272, 338, 267, 1287, 1152, 519, 476, 273, 338, 267, 1287, 476, 274, 338, 267, 3092, 269, 543, 950, 594, 1205, 547, 476, 280, 16833, 1394, 1472, 547, 476, 272, 269, 1403, 594, 1118, 606, 3003, 4783, 1510, 1373, 2111, 547, 17429, 576, 4376, 267, 594, 1376, 1603, 1018, 519, 2009, 9704, 616, 538, 1142, 1591, 543, 1118, 17429, 2388, 1759, 593, 602, 269, 901, 1935, 3096, 519, 1101, 540, 519, 1079, 3532, 2553, 267, 594, 4782, 621, 6140, 1317, 621, 781, 606, 2179, 540, 1344, 538, 513, 1106, 594, 666, 11593, 3180, 538, 1250, 2212, 267, 7429, 519, 824, 1935, 267, 799, 568, 1932, 1454, 1344, 547, 3180, 538, 1250, 2370, 2634, 693, 2899, 780, 2304, 4277, 844, 25184, 540, 1480, 17133, 568, 602, 649, 2811, 1360, 3983, 693, 3257, 1394, 10177, 9535, 269, 2755, 649, 666, 3362, 4558, 5266, 1804, 5666, 540, 1344, 538, 513, 10518, 267, 543, 5266, 1804, 5666, 540, 1344, 11231, 607, 606, 3239, 267, 513, 3833, 1507, 2179, 540, 1394, 10177, 9535, 1344, 786, 12235, 721, 4625, 269, 594, 4312, 1279, 7138, 1194, 607, 547, 1946, 713, 568, 267, 543, 14353, 602, 621, 6585, 513, 1297, 540, 10881, 547, 519, 25029, 540, 1480, 17133, 267, 855, 594, 2007, 816, 269, 1403, 596, 6999, 547, 18992, 547, 1394, 10177, 9535, 593, 513, 14181, 18602, 11015, 267, 519, 1034, 16022, 1259, 547, 798, 621, 568, 547, 1118, 2789, 2347, 12215, 540, 519, 3003, 4604, 267, 543, 2322, 1142, 7872, 585, 519, 3364, 1373, 4839, 3481, 593, 538, 4010, 835, 540, 873, 269, 1411, 2811, 1034, 2693, 547, 1118, 4028, 3356, 676, 4839, 4221, 593, 1945, 609, 4010, 1079, 7399, 267, 585, 1383, 513, 2582, 1591, 799, 1590, 581, 835, 540, 1079, 2009, 9704, 267, 610, 513, 4737, 799, 814, 1079, 2009, 7158, 585, 513, 1880, 7857, 547, 979, 538, 269, 1411 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3442, 8902, 8925, 267, 3056, 547, 3152, 1134, 5630, 543, 6038, 267, 19802, 689, 7092, 780, 4089, 476, 274, 281, 11588, 540, 28552, 24238, 692, 303, 847, 6005, 11009, 3091, 3875, 2640, 1312, 14156, 543, 9308, 269, 2368, 5383, 1331, 4389, 2566, 267, 2799, 1445, 267, 4824, 3929, 7939, 267, 8476, 1582, 18221, 267, 543, 1732, 3207, 2298, 269, 3958, 267, 1382, 5267, 602, 2834, 11009, 2259, 949, 7794, 519, 4761, 1062, 267, 2087, 9025, 1072, 267, 543, 6175, 5312, 1928, 780, 12244, 5384, 281, 8347, 713, 2241, 2534, 547, 6338, 11009, 883, 707, 3232, 1272, 269, 5590, 11735, 2947, 3764, 1142, 1554, 585, 835, 3018, 547, 2259, 13533, 7244, 269, 4855, 513, 9602, 5544, 267, 1694, 20354, 267, 2673, 707, 4064, 267, 543, 1445, 593, 707, 7362, 269, 1403, 707, 2247, 18389, 619, 267, 9900, 3142, 707, 3007, 1394, 547, 707, 7362, 269, 2311, 519, 1439, 540, 519, 3018, 267, 2992, 593, 1022, 2242, 596, 8068, 1282, 713, 942, 780, 6962, 281, 3414, 11009, 267, 649, 3605, 519, 1379, 540, 2713, 538, 519, 1459, 4090, 269, 1284, 1100, 3476, 29677, 1310, 7904, 7566, 5007, 2959, 540, 8788, 855, 3079, 20741, 938, 6418, 4708, 543, 7772, 269, 5457, 267, 519, 2619, 547, 20106, 6238, 689, 1369, 267, 543, 11009, 568, 513, 2629, 1900, 2509, 30196, 602, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1919, 602, 3180, 513, 1268, 1394, 689, 1140, 8724, 30593, 618, 563, 8368, 540, 12937, 454, 763, 3406, 585, 18266, 267, 585, 1483, 5314, 267, 31414, 267, 21481, 267, 17648, 538, 1034, 1004, 519, 1106, 540, 513, 2318, 1391, 269, 1358, 1256, 1268, 1518, 519, 1843, 540, 741, 3406, 267, 799, 3587, 513, 13287, 540, 2696, 269, 9282, 1390, 5289, 2367, 723, 10294, 602, 968, 1492, 10806, 540, 2696, 568, 1369, 26899, 5608, 519, 3406, 3587, 513, 13287, 540, 606, 1843, 1881, 9345, 269, 1809, 513, 13287, 568, 849, 513, 4881, 268, 12537, 267, 606, 9101, 269, 769, 713, 14834, 2196, 2705, 267, 543, 711, 1354, 267, 812, 7959, 602, 646, 568, 535, 9116, 1229, 282, 543, 1010, 7287, 547, 581, 1863, 538, 1931, 547, 1831, 8087, 609, 519, 1843, 540, 1010, 5289, 1279, 532, 267, 3587, 6793, 269, 28214, 1010, 791, 582, 1890, 547, 2736, 1346, 11800, 282, 799, 723, 1044, 13684, 2390, 1864, 1765, 15290, 576, 646, 6487, 711, 1765, 515, 13290, 547, 3489, 948, 689, 3544, 269, 1809, 676, 13461, 2390, 3544, 948, 646, 4422, 2476, 2417, 543, 2417, 689, 519, 10806, 1369, 267, 543, 646, 8806, 2306, 4195, 7554, 799, 17063, 1864, 1524, 811, 16119, 982, 1354, 563, 2005, 568, 1152, 519, 812, 945, 19707, 267, 602, 905, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 13221, 1315, 634, 9545, 3385, 1315, 24238, 630, 306, 10620, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 17796, 543, 28518, 6176, 692, 8893, 476, 274, 281, 32274, 519, 3778, 540, 14313, 543, 4658, 6732, 692, 1103, 2221, 781, 3059, 2085, 267, 4466, 1344, 2228, 814, 2760, 1044, 4443, 269, 2060, 1175, 513, 1906, 30390, 267, 649, 666, 1569, 9118, 4930, 267, 2835, 267, 7044, 267, 543, 811, 827, 1022, 1888, 602, 533, 2294, 938, 7279, 269, 1717, 267, 723, 596, 2479, 11074, 547, 1589, 827, 875, 6325, 713, 1344, 1522, 581, 286, 2052, 596, 3972, 3388, 596, 1224, 2228, 286, 1215, 798, 596, 917, 952, 1018, 596, 1265, 568, 4977, 267, 909, 3562, 15082, 267, 543, 1759, 593, 5013, 2864, 982, 25749, 2496, 2414, 1831, 5100, 6800, 540, 2228, 1344, 267, 621, 781, 1898, 547, 1451, 875, 547, 10250, 519, 1686, 540, 2093, 543, 1004, 1210, 1585, 2200, 2139, 593, 519, 4950, 269, 901, 5578, 786, 948, 596, 1732, 1174, 1141, 519, 1344, 2501, 689, 267, 945, 2813, 621, 267, 950, 621, 729, 3370, 267, 543, 2436, 621, 814, 22734, 1022, 1713, 10311, 2094, 1287, 269, 1635, 10442, 891, 2188, 267, 596, 666, 1020, 513, 2565, 14820, 543, 3313, 2436, 1945, 568, 4502, 4687, 609, 1866, 610, 19696, 538, 513, 1382, 1788, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 835, 1383, 540, 16439, 519, 1686, 540, 606, 2856, 676, 3695, 519, 1272, 543, 960, 540, 9995, 528, 674, 7967, 322, 17844, 267, 513, 23826, 25164, 3315, 560, 945, 5030, 1063, 476, 6942, 274, 543, 476, 4350, 274, 269, 4014, 646, 949, 711, 581, 607, 1134, 1634, 607, 1010, 21927, 590, 10176, 1495, 22506, 267, 674, 7967, 322, 17844, 1500, 1271, 7418, 547, 519, 2361, 540, 6530, 267, 3226, 538, 2127, 971, 607, 1126, 2079, 543, 8194, 2126, 780, 5331, 596, 3357, 2066, 513, 4241, 2376, 11331, 834, 293, 7967, 322, 17844, 543, 3571, 2622, 281, 1234, 11779, 1782, 519, 13336, 540, 519, 14863, 777, 652, 3427, 257, 1247, 19855, 2228, 269, 1411, 1336, 519, 4062, 10578, 855, 4941, 547, 1451, 811, 827, 922, 2278, 267, 2796, 267, 543, 2959, 269, 7316, 1131, 596, 1376, 2496, 5575, 267, 2119, 3168, 909, 2596, 27367, 1344, 827, 9995, 528, 674, 7967, 322, 17844, 269, 4635, 18019, 7270, 899, 27429, 610, 15610, 2826, 11927, 3821, 267, 596, 666, 3605, 1883, 3877, 827, 1010, 1272, 267, 2069, 267, 4876, 267, 543, 2101, 10781, 269, 5457, 2141, 547, 5595, 27902, 5013, 1996, 2789, 2959, 547, 2327, 741, 6111, 780, 9202, 267, 2263, 824, 1568, 2854, 676, 610, 827, 674, 7967, 322, 17844, 269, 6733, 585, 4081, 13746, 267, 2835, 267, 32026, 267, 543, 11042, 10023, 1864, 269, 3115, 17014, 12240, 971, 607, 808, 4306, 3036, 267, 5616, 10104, 267, 610, 707, 2199, 5399, 17048, 616, 5140, 4025, 547, 2253, 10478, 269, 1879, 6313, 891, 2959, 267, 2628, 3007, 547, 8313, 7389, 543, 4589, 262, 22754, 547, 15378, 17258, 780, 3086, 267, 1577, 781, 2490, 938, 1445, 1394, 547, 519, 3312, 2376, 269, 1677, 6218, 922, 10727, 267, 2015, 10992, 519, 1739, 3344, 1384, 265, 8191, 781, 4282, 543, 6791, 281, 5808, 5206, 519, 2376, 286, 3657, 789, 28337, 609, 6444, 5238, 610, 3906, 1369, 519, 4143, 2361, 286, 5620, 789, 30363, 824, 12326, 593, 2147, 3584, 888, 265, 21629, 610, 13384, 1681, 3919, 281, 1772, 519, 3896, 16475, 519, 2376, 2404, 609, 9945, 267, 1875, 2889, 22327, 267, 2229, 9988, 267, 610, 2923, 14078, 1634, 585, 6721, 2298, 1543, 286, 2107, 1281, 621, 2408, 1447, 18019, 1813, 547, 7050, 10229, 267, 10259, 6959, 267, 610, 11786, 6811, 888, 265, 22910, 4266, 281, 13201, 519, 1570, 5063, 1044, 8242, 610, 15428, 286, 1403, 865, 267, 941, 972, 1022, 8101, 2242, 1500, 3379, 547, 3105, 8747, 888, 265, 13022, 725, 543, 8100, 281, 6496, 519, 2278, 1683, 1697, 14327, 585, 782, 20926, 2326, 543, 7194, 5018, 538, 519, 1257, 286, 6744, 930, 540, 1346, 2959, 3054, 547, 13182, 741, 10083, 543, 14496, 780, 3528, 8026, 891, 3268, 5781, 267, 596, 3513, 1831, 740, 30794, 693, 9691, 7421, 2228, 2959, 543, 18390, 8159, 741, 1871, 585, 707, 1382, 3785, 543, 2123, 4690, 269, 1306, 3743, 3059, 4961, 267, 1565, 875, 547, 10250, 519, 1686, 540, 2093, 543, 1004, 2228, 2337, 721, 3565, 9797, 547, 5717, 267, 6536, 2635, 7521, 267, 543, 3895, 23610, 1344, 5385, 1851, 9905, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 1504, 674, 7967, 322, 17844, 1656, 3571, 2622, 281, 1234, 11779, 1782, 634, 13336, 2986, 634, 14863, 777, 652, 3427, 454, 292, 1504, 674, 7967, 322, 17844, 1656, 3571, 2622, 281, 1234, 11779, 1782, 634, 13336, 2986, 634, 14863, 777, 652, 3427, 454, 14725, 8149, 609, 938, 796, 337, 643, 6817, 2242, 543, 20641, 256, 581, 938, 6213, 4825, 549, 1483, 21059, 256, 946, 519, 6305, 20539, 1182, 256, 2196, 4867, 547, 938, 5208, 585, 707, 14486, 547, 654, 2562, 513, 9097, 20646, 2880, 30166, 8132, 3018, 2272, 543, 5266, 3310, 856, 593, 519, 5767, 1004, 256, 631, 4932, 6020, 781, 8076, 6739, 9012, 5525, 5741, 267, 799, 4607, 20641, 540, 519, 19545, 674, 7967, 322, 17844, 543, 3571, 2622, 281, 538, 2296, 593, 11728, 269, 8093, 689, 519, 2110, 593, 476, 2918, 5130, 476, 1001, 278, 269, 4396, 689, 519, 3138, 593, 4989, 476, 280, 267, 476, 1001, 271, 269, 6168, 2974, 267, 595, 2720, 528, 267, 11123, 294, 5588, 689, 519, 20167, 626, 18152, 593, 476, 1220, 278, 268, 5400, 268, 1240, 267, 6045, 4239, 476, 1428, 267, 476, 1220, 278, 269, 631, 4932, 6020, 9012, 3690, 10337, 28483, 267, 29352, 689, 519, 7783, 593, 476, 1220, 278, 268, 6187, 268, 1691, 267, 1031, 4239, 476, 278, 267, 476, 1220, 278, 269, 6168, 2974, 267, 4077, 640, 13782, 1807, 267, 1185, 689, 519, 3816, 1046, 762, 593, 476, 1220, 278, 268, 1015, 268, 1556, 267, 12790, 4239, 476, 1428, 267, 476, 1220, 278, 269, 634, 5664, 5101, 9012, 3194, 4659, 267, 4077, 640, 13782, 1807, 267, 6719, 689, 519, 5461, 593, 476, 1220, 278, 268, 4905, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 14740, 1325, 614, 725, 281, 1323, 22410, 540, 19837, 1539, 894, 14740, 13081, 692, 5331, 2348, 811, 982, 835, 1268, 2713, 3330, 707, 2212, 1107, 1142, 609, 922, 1378, 4555, 267, 4606, 267, 543, 8823, 269, 898, 1522, 3280, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 855, 585, 1004, 609, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 1070, 621, 781, 513, 4641, 789, 2661, 609, 1169, 1554, 269, 2913, 781, 2263, 1018, 713, 4524, 568, 267, 875, 621, 5540, 2043, 267, 543, 1946, 621, 4523, 780, 1432, 568, 19837, 1539, 894, 14740, 13081, 888, 5785, 15365, 5970, 596, 2479, 1336, 3054, 1990, 11238, 856, 1282, 1362, 610, 1247, 2542, 513, 1433, 267, 9561, 3950, 540, 942, 543, 30534, 1141, 596, 941, 286, 4107, 1004, 723, 4810, 7646, 4744, 27937, 1354, 267, 799, 568, 950, 938, 8186, 17303, 31028, 689, 938, 10450, 1813, 547, 2566, 267, 8194, 267, 610, 9854, 269, 1717, 267, 585, 1346, 8995, 609, 667, 2839, 267, 891, 14501, 616, 1454, 811, 7920, 543, 7928, 780, 10144, 609, 667, 2839, 1020, 1079, 610, 811, 3982, 9163, 602, 1491, 1852, 936, 741, 2623, 10446, 269, 1452, 1114, 9163, 267, 1572, 834, 531, 1562, 2437, 949, 4865, 2189, 4408, 267, 2123, 12583, 267, 7375, 267, 543, 1256, 2168, 4162, 269, 6884, 267, 891, 17176, 2049, 10393, 267, 4929, 10539, 543, 7411, 8647, 7363, 538, 3232, 1272, 780, 3963, 6496, 19837, 1539, 894, 14740, 13081, 19732, 523, 888, 14343, 15365, 12867, 3494, 602, 667, 2839, 1419, 2164, 689, 4049, 6689, 8194, 267, 971, 607, 3929, 267, 4638, 267, 610, 2168, 6057, 269, 1677, 11883, 609, 11566, 1928, 543, 4250, 267, 519, 1126, 781, 2247, 5932, 5094, 9163, 607, 513, 8878, 7271, 269, 3962, 7369, 3587, 3743, 585, 5883, 1808, 4664, 610, 2833, 267, 3850, 519, 1367, 547, 7639, 15779, 2621, 676, 26654, 531, 1944, 873, 780, 2026, 519, 1126, 9428, 4587, 267, 891, 32290, 2611, 9674, 267, 3056, 547, 519, 1646, 540, 3982, 14789, 1369, 835, 1268, 269, 4014, 3744, 3136, 4974, 667, 2839, 547, 1732, 1174, 922, 3123, 543, 2360, 267, 621, 3788, 2312, 602, 2043, 609, 713, 4524, 991, 17519, 1489, 543, 2126, 780, 1692, 2052, 1284, 6435, 4658, 2060, 19837, 1539, 894, 14740, 13081, 888, 32458, 7042, 21675, 585, 667, 2839, 3335, 3322, 3797, 5059, 593, 10128, 519, 1585, 32290, 883, 513, 2582, 3961, 269, 3414, 13508 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20020, 2496, 7692, 281, 23010, 267, 3006, 789, 798, 269, 1809, 594, 1175, 2995, 873, 602, 621, 781, 15502, 547, 581, 1114, 543, 602, 3025, 814, 1945, 2189, 827, 2933, 780, 8334, 281, 2334, 781, 1390, 267, 7585, 256, 1411, 2811, 6029, 6568, 543, 2463, 2509, 1866, 267, 799, 568, 1271, 538, 2679, 2318, 3347, 609, 1004, 1472, 596, 780, 7692, 281, 8729, 267, 7705, 256, 1635, 519, 1259, 267, 1018, 1281, 713, 723, 547, 798, 609, 519, 7027, 585, 7040, 28742, 543, 13059, 4961, 262, 556, 268, 18782, 9620, 543, 18454, 2496, 8334, 281, 6153, 2243, 256, 4634, 1498, 602, 14643, 6212, 593, 5355, 519, 5126, 1062, 267, 6803, 3961, 5250, 666, 1869, 1404, 513, 1909, 538, 741, 960, 269, 1280, 1383, 267, 952, 2576, 945, 5063, 3893, 856, 540, 7890, 6499, 547, 556, 15759, 3433, 883, 2486, 267, 6616, 741, 2686, 4282, 543, 2418, 666, 948, 3391, 873, 538, 1818, 1732, 5079, 543, 4466, 1489, 1949, 1369, 741, 2146, 780, 7692, 281, 7937, 267, 594, 1205, 621, 1631, 269, 18833, 945, 596, 616, 543, 4743, 10583, 540, 707, 2528, 666, 1118, 513, 2462, 3017, 538, 1272, 780, 8334, 281, 25999, 267, 7585, 256, 16871, 835, 781, 6803, 3961, 2337, 1628, 1582, 21873, 267, 6043, 267, 543, 2178, 4296, 609, 1866, 269, 901, 267, 538, 2490, 267, 8309, 547, 2949, 1134, 5630, 543, 1967, 538, 1585, 3344, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 1735, 4290, 585, 7040, 28742, 910, 5822, 932, 1734, 281, 4825, 9506, 22893, 262, 1234, 7232, 660, 787, 26647, 1375, 956, 543, 11773, 525, 538, 519, 10588, 540, 12052, 267, 476, 1001, 277, 454, 12606, 3312, 3561, 912, 1607, 1257, 568, 3684, 22345, 267, 543, 949, 2270, 6959, 269, 6744, 519, 3312, 3561, 547, 13182, 6111, 563, 291, 4488, 4932, 21612, 476, 1001, 277, 18688, 312, 31631, 22444, 31631, 8863, 3198, 290, 2464, 681, 4953, 7838, 301, 5058, 16275, 2316, 313, 27602, 685, 11555, 268, 7728, 23802, 31031, 308, 294, 21923, 2464, 6730, 24639, 6717, 8577, 2464, 5442, 5990, 667, 8780, 30278, 307, 5508, 23333, 9331, 289, 8656, 7027, 585, 7040, 28742, 25947, 10456, 585, 519, 7991, 530, 530, 530, 269, 524, 522, 579, 678, 512, 552, 1535, 524, 552, 561, 561, 552, 562, 524, 552, 1547, 522, 678, 575, 7027, 585, 7040, 28742, 6168, 519, 7027, 585, 7040, 28742, 4813, 539, 538, 519, 10588, 540, 12052, 538, 476, 2735, 273, 267, 519, 7027, 585, 7040, 28742, 630, 290, 4753, 264, 568, 513, 18758, 267, 1875, 4820, 16388, 18523, 3919, 602, 26195, 2888, 513, 5126, 1062, 538, 519, 10588, 540, 12052, 602, 1226, 19935, 5713, 922, 1004, 543, 5170, 547, 581, 513, 2203, 585, 2870, 6793, 543, 811, 25133, 2950, 269, 595, 4753, 779, 5692, 568, 547, 3986, 519, 5126, 1062, 538, 519, 10588, 540, 12052, 547, 4196, 519, 1857, 1226, 19935, 269, 595, 4753, 14439, 543, 23083, 1151, 340, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20685, 5371, 14740, 19725, 257, 607, 851, 540, 834, 24719, 13316, 1315, 19724, 640, 5525, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7170, 281, 4197, 962, 1752, 4354, 1407, 281, 589, 3212, 2131, 883, 519, 8892, 540, 3776, 19004, 692, 5970, 596, 2479, 9289, 875, 1004, 945, 22937, 2724, 6430, 1018, 1719, 2557, 547, 5279, 286, 2107, 1946, 707, 4587, 24107, 1522, 7118, 811, 1719, 593, 741, 9806, 2272, 982, 596, 798, 593, 16523, 267, 1256, 952, 596, 1312, 723, 6589, 693, 519, 1482, 4871, 286, 4270, 267, 835, 1271, 3815, 602, 5540, 1719, 3928, 568, 1945, 1572, 519, 834, 344, 1752, 7455, 1701, 5213, 1405, 1577, 519, 16681, 2012, 29057, 596, 1107, 621, 781, 1175, 513, 1907, 1031, 547, 3589, 1018, 1522, 4755, 609, 938, 4346, 538, 519, 2104, 256, 2913, 781, 4685, 883, 1620, 6556, 14258, 1927, 780, 5331, 596, 2811, 11256, 12897, 543, 991, 547, 4444, 10217, 13365, 269, 1411, 1265, 1079, 8637, 9513, 519, 1482, 6216, 267, 855, 15188, 589, 814, 513, 1732, 4308, 281, 789, 6133, 513, 476, 272, 1790, 895, 9126, 585, 1269, 276, 267, 1247, 15188, 645, 6499, 1269, 277, 585, 519, 3169, 1482, 3364, 269, 6904, 4558, 1131, 596, 3442, 286, 2986, 1576, 267, 596, 9364, 979, 585, 519, 14949, 4781, 256, 1809, 1018, 952, 596, 2877, 513, 2603, 540, 10217, 13365, 267, 899, 2614, 547, 2063, 513, 2898, 1032, 286, 3973, 267, 9140, 1082, 11435, 689, 15188, 589, 1223, 1831, 28842, 1304, 543, 7199, 1813, 547, 6283, 3790, 267, 4859, 267, 543, 865, 593, 269, 1924, 3079, 267, 596, 1522, 2015, 9140, 538, 13557, 689, 15188, 645, 1317, 267, 5103, 9878, 811, 909, 12506, 267, 621, 1568, 856, 547, 581, 14949, 2949, 950, 3262, 2066, 519, 3003, 1032, 780, 3086, 267, 1589, 827, 713, 9183, 538, 2474, 540, 12029, 543, 1719, 3928, 269, 1879, 2576, 18664, 4900, 2724, 267, 789, 3858, 547, 2628, 1394, 519, 2179, 789, 22666, 7132, 930, 3063, 1107, 602, 3063, 568, 1018, 649, 1289, 1719, 269, 3807, 899, 972, 941, 1079, 3681, 585, 9140, 10217, 13365, 267, 972, 616, 849, 2789, 3681, 2139, 585, 1346, 3168, 547, 10210, 2724, 269, 1358, 666, 3442, 2110, 3856, 12029, 630, 3697, 2921, 856, 513, 1507, 10211, 547, 3382, 14770, 625, 2394, 519, 1985, 2628, 13765, 21128, 1070, 5420, 3856, 12029, 630, 7945, 607, 1286, 14104, 1070, 610, 1279, 3856, 12029, 630, 1721, 1383, 267, 3478, 513, 20251, 547, 4444, 513, 2777, 6393, 3383, 267, 1141, 1281, 519, 6556, 7455, 2097, 538, 286, 4279, 2243, 256, 634, 6556, 7455, 568, 3274, 513, 5750, 6029, 519, 2078, 1063, 519, 3259, 540, 513, 10211, 630, 6011, 1082, 1296, 2394, 621, 2115, 547, 581, 6976, 1394, 264, 543, 519, 1719, 2557, 6035, 593, 602, 10211, 269, 1635, 9236, 891, 11729, 630, 15517, 3928, 264, 585, 1585, 1319, 20914, 630, 5979, 534, 13080, 1070, 649, 666, 1711, 513, 3308, 6041, 540, 1018, 10210, 619, 543, 32225, 2503, 786, 4755, 609, 519, 4346, 538, 519, 2104, 269, 901, 2337, 721, 1174, 2436, 4213, 543, 2043, 4782, 2110, 19985, 5420, 19985, 610, 1279, 3856, 12029, 267, 799, 6038, 7506, 1719, 3928, 780, 4131, 803, 2491, 519, 1614, 1292, 2010, 540, 6556, 14258, 1384, 272, 269, 16453, 962, 1752, 4354, 557, 281, 1403, 519, 6556, 7455, 19527, 16057, 267, 621, 1797, 602, 3476, 3856, 12029, 3622, 723, 2362, 1719, 3928, 3379, 547, 10156, 3856, 3283, 269, 700, 11367, 1616, 547, 581, 9104, 730, 585, 1119, 532, 909, 741, 2724, 585, 6905, 5712, 2094, 789, 3112, 946, 621, 11992, 1282, 602, 942, 269, 4935, 267, 789, 3747, 513, 2362, 2132, 269, 24613, 1394, 547, 938, 23739, 21658, 267, 713, 3510, 568, 2147, 547, 7446, 15188, 589, 585, 4130, 16306, 855, 1904, 532, 585, 15188, 645, 950, 4058, 6619, 585, 8273, 2115, 563, 273, 269, 769, 30062, 962, 1752, 4354, 557, 281, 6884, 267, 519, 6556, 7455, 949, 9386, 1524, 2072, 267, 2495, 602, 2110, 3856, 12029, 723, 2362, 1719, 3928, 982, 1279, 3856, 3283, 269, 1323, 30141, 6556, 7455, 5267, 602, 32225, 3494, 519, 4346, 568, 2469, 547, 3500, 1524, 4166, 269, 1306, 513, 1267, 267, 789, 1745, 10930, 5329, 741, 2724, 13615, 909, 538, 1279, 3856, 12029, 2864, 982, 5368, 4034, 532, 621, 2899, 741, 1699, 2110, 3856, 12029, 9921, 269, 5994, 1373, 14126, 827, 519, 3902, 540, 10217, 13365, 2810, 6385, 282, 596, 9364, 6006, 909, 593, 873, 1631, 1354, 5777, 4473, 256, 2334, 781, 9247, 1018, 32225, 798, 609, 2724, 950, 519, 6556, 7455, 12679, 1206, 563, 274, 269, 25065, 962, 1752, 4354, 557, 281, 14936, 267, 972, 616, 2053, 950, 519, 6556, 7455, 3587, 6366, 267, 10834, 2370, 3017, 538, 1719, 3928, 1851, 8795, 10211, 546, 15342, 269, 6270, 7653, 2303, 602, 32225, 1294, 3160, 4220, 543, 12587, 7488, 540, 2436, 789, 17063, 909, 741, 7482, 585, 519, 2110, 2165, 610, 1279, 2165, 269, 16514, 3025, 3206, 1312, 853, 2803, 589, 543, 645, 2709, 8449, 1434, 9388, 2439, 2026, 596, 666, 1294, 267, 6556, 14258, 948, 721, 1174, 1018, 4966, 18783, 3823, 519, 1072, 540, 938, 4346, 269, 8859, 1235, 267, 14519, 267, 543, 9520, 1832, 513, 2673, 3750, 593, 891, 11708, 547, 15378, 3466, 543, 5965, 2933, 9935, 269, 2755, 621, 1522, 3100, 1950, 693, 1101, 16145, 267, 8840, 1524, 2035, 899, 6556, 14258, 2306, 1870, 543, 9297, 1187, 543, 10578, 1107, 1310, 782, 267, 6616, 875, 938, 1158, 13333, 20019, 568, 1898, 585, 1818, 5483, 3664, 2221, 543, 14182, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6556, 7455, 568, 513, 21370, 6041, 540, 519, 1719, 3928, 585, 1114, 1319, 20914, 540, 7554, 269, 898, 13602, 519, 2078, 1063, 519, 1719, 2557, 630, 344, 1752, 264, 543, 519, 942, 547, 15657, 540, 7963, 267, 3335, 2229, 7554, 269, 634, 6556, 7455, 568, 1034, 4122, 4767, 609, 27308, 19736, 267, 607, 789, 616, 2808, 519, 2547, 19408, 9541, 563, 763, 6556, 7455, 666, 1491, 1614, 2489, 5546, 281, 16057, 1793, 14563, 610, 3339, 267, 18746, 1793, 14563, 610, 30141, 267, 543, 6366, 563, 763, 6556, 7455, 781, 3337, 543, 2242, 936, 942, 1683, 4030, 883, 519, 6788, 543, 27742, 540, 2344, 5171, 269, 898, 3091, 6286, 585, 519, 4346, 538, 519, 1739, 2081, 912, 14454, 267, 519, 6556, 7455, 568, 513, 1883, 13525, 540, 2344, 6788, 267, 2804, 2175, 267, 543, 1761, 10593, 538, 519, 4346, 269, 898, 568, 5702, 16913, 676, 24192, 267, 14519, 267, 543, 9520, 547, 2744, 4030, 883, 519, 2104, 18330, 540, 519, 4346, 563, 763, 3337, 540, 519, 6556, 7455, 543, 2242, 538, 922, 3337, 936, 942, 723, 1713, 6286, 585, 519, 552, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 312, 1752, 4354, 557, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 9314, 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, 4985, 1384, 763, 7041, 540, 1426, 585, 12256, 543, 1762, 1453, 814, 1279, 1044, 513, 2707, 540, 6161, 543, 1719, 585, 3237, 267, 15637, 267, 543, 3782, 4648, 7567, 269, 2060, 2810, 4656, 827, 519, 2956, 540, 2038, 6484, 538, 5935, 1279, 3856, 1072, 4093, 267, 972, 814, 1044, 17105, 8561, 593, 3246, 9002, 609, 27357, 267, 14312, 267, 543, 2922, 3536, 602, 666, 849, 8597, 547, 741, 2189, 8192, 2115, 543, 9993, 269, 901, 7678, 2509, 14711, 7888, 5986, 814, 6591, 20086, 1813, 547, 8375, 3928, 540, 1426, 11959, 1851, 12256, 543, 1762, 1453, 267, 799, 723, 2468, 9482, 538, 519, 2250, 1079, 5756, 2687, 547, 930, 9193, 269, 769, 713, 2796, 267, 621, 3587, 1898, 585, 1346, 3238, 538, 4816, 1426, 7041, 547, 1174, 519, 3741, 540, 14711, 7888, 5986, 267, 922, 2640, 267, 2591, 267, 543, 1761, 3435, 780, 4089, 594, 281, 4197, 17926, 5253, 19369, 543, 715, 26798, 20126, 692, 289, 17879, 1426, 7041, 3322, 2870, 5078, 6986, 525, 267, 544, 10449, 267, 543, 9416, 3536, 1210, 1585, 5820, 899, 5613, 267, 5388, 267, 9274, 267, 16469, 267, 543, 10683, 2472, 269, 1452, 21339, 2832, 547, 1683, 7850, 6484, 1247, 1373, 3362, 7558, 1043, 543, 2922, 585, 12256, 262, 3384, 1949, 269, 1306, 971, 267, 6297, 7156, 1590, 581, 2016, 547, 8939, 3617, 5820, 267, 4180, 1697, 5986, 2553, 267, 543, 9013, 6712, 7306, 1759, 593, 2085, 543, 11095, 19325, 780, 14813, 1218, 9907 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3010, 1262, 3721, 476, 276, 281, 19415, 2920, 1947, 543, 29594, 12533, 763, 26575, 1058, 1631, 4431, 609, 6568, 543, 1620, 269, 2142, 5423, 547, 2626, 2055, 267, 12172, 4145, 267, 543, 4309, 1489, 780, 265, 2878, 30874, 23016, 5093, 10312, 32348, 593, 519, 10584, 267, 4509, 3750, 3346, 543, 12162, 3429, 5594, 547, 1397, 6278, 563, 265, 2878, 29248, 24602, 13786, 525, 5093, 4406, 28371, 519, 10584, 781, 4664, 267, 14344, 741, 9620, 1510, 5356, 5667, 4301, 1243, 5796, 780, 8266, 10273, 1383, 6114, 1384, 257, 6546, 4992, 11212, 9157, 282, 594, 6415, 865, 20994, 596, 2811, 2469, 998, 713, 4799, 30948, 798, 596, 1589, 1131, 1118, 596, 1745, 1732, 1318, 1631, 12482, 1262, 21206, 9669, 543, 3816, 785, 619, 4373, 265, 2878, 290, 1735, 1088, 832, 5093, 1403, 18516, 7247, 547, 1476, 728, 538, 267, 2015, 5275, 3318, 13508, 2533, 269, 3004, 1441, 16293, 1711, 2922, 5054, 585, 7234, 6213, 3584, 563, 265, 2878, 18183, 7808, 640, 5093, 21727, 519, 7834, 540, 3838, 1344, 267, 1152, 12607, 3151, 3877, 952, 12799, 11292, 10479, 563, 265, 2878, 10287, 5346, 22062, 725, 5093, 21480, 7766, 12909, 547, 6895, 3356, 267, 2232, 1007, 2591, 267, 610, 8661, 18454, 780, 3528, 1739, 891, 3268, 267, 596, 3513, 6707, 20006, 1930, 5717, 827, 707, 4965, 609, 11967, 2043, 269, 5457, 267, 14379, 707, 2115, 3217, 10100, 267, 543, 5275, 948, 568, 513, 1129, 540, 4222, 780, 2026, 596, 3136, 3695, 713, 4241, 4541, 267, 3314, 938, 2138, 1729, 281, 2878, 3519, 3825, 14981, 1620, 267, 543, 1620, 11942, 2208, 1262, 269, 5901, 8026, 267, 543, 4166, 596, 3513, 1831, 21295, 538, 10188, 1950, 1480, 4205, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 307, 749, 1411, 5620, 12870, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 2878, 16215, 281, 2353, 16272, 543, 3955, 3667, 7081, 538, 17826, 1107, 589, 7981, 6733, 693, 9956, 4373, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1141, 2576, 5018, 1945, 602, 18056, 596, 540, 1776, 1650, 286, 2334, 781, 1572, 606, 782, 4288, 256, 1323, 782, 4288, 568, 513, 4704, 547, 1004, 267, 4025, 267, 2621, 267, 610, 1919, 3544, 519, 1257, 602, 3988, 610, 13588, 616, 4397, 547, 5431, 269, 19536, 946, 782, 16272, 547, 1039, 3178, 267, 2796, 267, 543, 2495, 547, 741, 960, 269, 1358, 666, 849, 1711, 4296, 1063, 1114, 2984, 543, 1256, 3140, 5712, 780, 265, 7078, 17041, 769, 513, 2413, 1650, 267, 513, 1915, 1522, 2161, 267, 834, 2005, 5433, 899, 594, 729, 6972, 998, 1250, 1378, 2123, 1412, 8334, 538, 24090, 1633, 262, 10590, 901, 782, 26360, 547, 11066, 2961, 2651, 781, 5929, 3209, 543, 5267, 602, 519, 1915, 1336, 2933, 538, 513, 9490, 267, 627, 15501, 673, 1158, 269, 22419, 945, 616, 5432, 609, 7705, 538, 24090, 1633, 786, 1174, 519, 6476, 1732, 543, 2972, 519, 4276, 780, 3086, 1577, 781, 2911, 827, 954, 3667, 7081, 269, 3955, 3667, 7081, 4016, 547, 875, 513, 1007, 1257, 12211, 547, 610, 5673, 2390, 4540, 5931, 269, 1879, 4589, 2328, 513, 1007, 1650, 6273, 676, 610, 1759, 593, 4505, 1568, 267, 789, 4497, 538, 954, 3667, 783, 5188, 269, 1635, 3257, 865, 267, 789, 16436, 3988, 547, 2721, 19320, 543, 2263, 3838, 4798, 780, 265, 7078, 17041, 3509, 18912, 8941, 2671, 2147, 2609, 1813, 547, 954, 3667, 7081, 269, 1280, 3236, 267, 595, 785, 699, 12848, 543, 16176, 6519, 1312, 4183, 29063, 1900, 15948, 338, 267, 9589, 14759, 267, 543, 4837, 1793, 26802, 610, 8914, 539, 13212, 269, 4197, 891, 4296, 27862, 938, 7071, 585, 1142, 1367, 9661, 780, 3383, 1018, 1281, 713, 723, 547, 798, 609, 6965, 543, 5261, 9956, 286, 4270, 267, 9956, 781, 4249, 543, 5067, 26506, 2270, 9118, 782, 16272, 543, 6542, 7415, 954, 3667, 7081, 269, 3571, 1568, 12732, 1082, 11964, 267, 1519, 15832, 267, 13357, 267, 18792, 267, 543, 1686, 269, 1306, 971, 267, 789, 2709, 3638, 3255, 585, 3695, 782, 16272, 543, 954, 3667, 7081, 780, 4131, 781, 1413, 693, 835, 1383, 689, 9956, 781, 1404, 267, 2608, 288, 631, 1749, 28026, 13957, 781, 14134, 29688, 623, 3089, 3081, 1384, 265, 257, 2252, 649, 20224, 723, 1055, 2105, 2676, 13914, 855, 713, 267, 543, 782, 568, 544, 2105, 912, 6546, 596, 723, 855, 1793, 3518, 1229, 1934, 2676, 4407, 891, 22649, 1705, 2408, 3248, 4517, 713, 4617, 543, 7329, 548, 6249, 2676, 5591, 811, 27548, 855, 513, 5326, 29389, 22177, 4322, 3515, 949, 7618, 721, 540, 9909, 610, 30148, 9035, 649, 4312, 4810, 6000, 269, 12344, 789, 3142, 547, 2247, 2442, 8964, 267, 9413, 267, 610, 2835, 10023, 28531, 26441, 11402, 1282, 3207, 269, 20876, 1346, 782, 16272, 2620, 839, 938, 1620, 540, 623, 3089, 781, 5048, 543, 10597, 938, 3929, 3210, 780, 11101, 267, 9956, 5128, 22666, 5391, 518, 958, 689, 824, 2959, 267, 2870, 6946, 3103, 540, 954, 3667, 7081, 269, 1261, 556, 1740, 539, 3504, 14868, 267, 12563, 2145, 525, 267, 543, 3105, 5339, 25704, 883, 1010, 1378, 13144, 269, 24356, 9956, 781, 14624, 2337, 721, 5660, 875, 5830, 1628, 2390, 4540, 6386, 1247, 4946, 2189, 5380, 780, 3528, 1565, 827, 782, 16272, 543, 954, 3667, 7081, 538, 6965, 267, 2523, 998, 519, 7828, 540, 9956, 781, 13085, 1568, 267, 596, 1831, 1732, 9280, 547, 5659, 1950, 3332, 543, 2697, 6456, 21889, 1369, 9583, 20775, 2984, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1495, 599, 267, 4989, 476, 2767, 267, 476, 1220, 279, 454, 4537, 6832, 538, 630, 4462, 264, 12024, 569, 23089, 267, 8033, 4240, 454, 30252, 7066, 330, 568, 513, 1747, 1141, 596, 2503, 547, 1265, 8100, 547, 9956, 269, 898, 779, 851, 540, 519, 3014, 269, 1809, 621, 729, 1152, 538, 519, 840, 656, 788, 523, 738, 1493, 630, 1492, 8772, 689, 519, 2063, 264, 12558, 602, 594, 8068, 4376, 9956, 534, 693, 782, 563, 1103, 602, 12558, 267, 649, 2461, 538, 606, 14595, 7122, 1765, 821, 538, 799, 3425, 616, 20630, 832, 2864, 982, 24625, 2209, 538, 954, 13807, 534, 8767, 2951, 269, 1809, 602, 7122, 13462, 547, 519, 8912, 10060, 7066, 330, 7122, 676, 12423, 513, 6928, 630, 1492, 2475, 306, 4347, 5050, 267, 2063, 2938, 538, 513, 3791, 5498, 1783, 3312, 3399, 7066, 330, 12558, 264, 602, 814, 8854, 1394, 538, 942, 543, 2066, 547, 713, 7122, 563, 296, 5143, 596, 602, 547, 2995, 596, 713, 269, 634, 1079, 3197, 1657, 630, 515, 779, 519, 4387, 282, 1352, 779, 519, 23977, 4754, 24568, 824, 1913, 267, 646, 779, 645, 2158, 282, 1352, 779, 1975, 1442, 264, 723, 1044, 2542, 519, 3332, 543, 1686, 540, 519, 824, 7122, 563, 13828, 5203, 525, 1185, 741, 9956, 267, 543, 602, 779, 1141, 519, 1719, 630, 325, 3373, 14386, 6013, 269, 3371, 781, 519, 4633, 267, 2468, 653, 5944, 2016, 538, 7406, 8386, 1922, 9347, 7154, 912, 2080, 781, 519, 1257, 267, 10443, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5472, 4288, 543, 3955, 3667, 7081, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 9956, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 634, 853, 698, 538, 15215, 267, 9147, 27639, 267, 543, 19088, 1108, 281, 589, 5530, 540, 5295, 267, 26306, 267, 543, 29526, 692, 296, 269, 4985, 692, 5331, 3054, 538, 513, 32668, 4104, 267, 519, 2011, 5394, 609, 9814, 543, 22471, 1006, 269, 22582, 267, 513, 15999, 588, 698, 19674, 689, 3297, 519, 4054, 267, 922, 1036, 531, 1884, 6840, 20414, 519, 546, 1952, 1194, 7943, 19003, 998, 519, 3762, 269, 901, 13442, 267, 26060, 2066, 4529, 543, 5553, 267, 5713, 607, 513, 14984, 3090, 540, 4222, 267, 7004, 267, 543, 28665, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 3909, 267, 3504, 2686, 267, 543, 29631, 4644, 540, 519, 588, 698, 267, 796, 792, 2251, 6106, 540, 2495, 602, 8831, 3564, 922, 2168, 1106, 780, 2862, 269, 634, 853, 698, 538, 15215, 692, 288, 269, 8567, 692, 1103, 4168, 13513, 267, 519, 588, 698, 4564, 4906, 2441, 1813, 547, 922, 7681, 609, 24446, 543, 23629, 1275, 269, 4706, 1884, 6840, 267, 799, 2887, 1055, 543, 1332, 1394, 12422, 267, 18427, 519, 2856, 540, 32193, 543, 25430, 1765, 935, 32383, 3844, 547, 519, 4168, 5132, 269, 5015, 267, 2038, 10271, 7550, 519, 588, 698, 607, 513, 3090, 540, 20174, 543, 7503, 1317, 540, 922, 19818, 585, 1216, 267, 782, 24851, 547, 12142, 27596, 781, 6609, 540, 519, 21705, 607, 1346, 945, 834, 323, 8667, 7184, 257, 689, 519, 19401, 1440, 902, 540, 10143, 5168, 630, 20606, 710, 267, 4762, 32268, 6393, 289, 269, 22469, 543, 25245, 623, 12298, 27801, 338, 692, 2690, 519, 22966, 1206, 543, 25245, 9082, 267, 519, 588, 698, 22993, 25386, 7907, 543, 729, 5702, 13615, 547, 741, 5289, 2853, 269, 595, 1716, 18365, 657, 267, 519, 22469, 5601, 540, 2470, 267, 12680, 267, 543, 7320, 267, 568, 4749, 13269, 609, 1884, 6840, 267, 29544, 1010, 2531, 514, 542, 936, 519, 2067, 1158, 269, 6684, 267, 519, 25245, 5601, 6154, 10455, 267, 2404, 609, 2205, 1006, 543, 13884, 267, 19299, 513, 9589, 6928, 4171, 16064, 568, 1500, 540, 588, 698, 1884, 6840, 267, 25967, 1681, 519, 4276, 1063, 519, 10143, 543, 519, 28458, 780, 7656, 269, 634, 853, 698, 538, 9147, 27639, 692, 288, 269, 5259, 543, 4936, 3203, 692, 1805, 4711, 941, 7986, 538, 13983, 1723, 7304, 2674, 1148, 267, 8204, 4798, 899, 16190, 1145, 267, 22231, 267, 543, 5898, 269, 1358, 24224, 17633, 267, 19821, 923, 267, 543, 18810, 267, 7674, 1312, 16560, 543, 12572, 5301, 269, 1280, 3236, 267, 519, 13527, 540, 3203, 28087, 693, 9210, 1127, 639, 12286, 3875, 18899, 588, 4711, 267, 10452, 519, 15831, 262, 1909, 607, 2149, 528, 540, 3552, 7068, 543, 519, 6968, 269, 5047, 267, 519, 10828, 540, 2920, 2801, 517, 267, 9927, 883, 513, 588, 698, 1310, 838, 3539, 2390, 3203, 28087, 28876, 267, 9727, 519, 546, 7081, 540, 519, 588, 698, 607, 1312, 32170, 543, 25433, 267, 10723, 2943, 7925, 780, 289, 269, 4457, 543, 5545, 27748, 2762, 692, 20751, 5101, 7489, 5389, 267, 519, 13650, 6585, 1390, 5289, 4644, 269, 769, 3624, 267, 621, 568, 2808, 606, 513, 22273, 5534, 30118, 540, 4708, 267, 15325, 267, 543, 13884, 269, 11531, 267, 5545, 18691, 2934, 8941, 540, 3337, 6879, 14823, 24587, 2921, 519, 1106, 540, 588, 4711, 267, 20515, 741, 1929, 1400, 4567, 607, 10827, 2456, 1063, 519, 6180, 531, 7706, 543, 519, 10143, 269, 3958, 267, 14418, 5931, 4766, 18477, 7919, 1634, 607, 737, 597, 514, 630, 24336, 264, 610, 10252, 630, 30153, 1070, 16403, 20143, 7068, 851, 3613, 698, 267, 602, 3142, 1434, 19539, 543, 4027, 547, 4075, 6681, 2043, 780, 4353, 269, 634, 853, 698, 538, 19088, 1108, 692, 288, 269, 4173, 8163, 543, 519, 661, 787, 2006, 628, 1014, 4425, 541, 692, 3080, 540, 4173, 8163, 262, 12964, 2978, 832, 3238, 13830, 519, 661, 787, 2006, 628, 1014, 4425, 541, 9800, 269, 4438, 713, 1391, 267, 646, 11402, 513, 7874, 588, 698, 267, 513, 10516, 689, 3203, 28087, 9887, 269, 6736, 1373, 22002, 24491, 8393, 676, 519, 5869, 267, 519, 562, 574, 1076, 13442, 1714, 24231, 7001, 2394, 6368, 5356, 3294, 786, 5944, 269, 901, 12558, 20502, 519, 588, 698, 781, 524, 7342, 543, 13916, 267, 3450, 3988, 3407, 4245, 827, 4199, 6888, 543, 1582, 16531, 780, 289, 269, 595, 2044, 928, 1014, 13130, 15391, 692, 5194, 4074, 2838, 4173, 8163, 547, 28958, 519, 595, 2044, 928, 1014, 13130, 267, 513, 16750, 798, 324, 10723, 547, 3203, 28087, 269, 2991, 3275, 540, 9477, 267, 646, 8970, 1229, 519, 12042, 2282, 519, 5211, 28247, 517, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2791, 616, 8384, 281, 4208, 616, 4342, 1564, 1572, 9635, 540, 519, 9390, 454, 763, 7943, 1025, 30769, 16841, 267, 543, 519, 1152, 3280, 568, 519, 2842, 28817, 909, 519, 5070, 849, 543, 849, 15309, 1782, 519, 26742, 19631, 267, 3819, 26965, 269, 769, 519, 3845, 267, 3564, 519, 6329, 540, 3636, 678, 2089, 1782, 909, 689, 519, 2666, 267, 2408, 968, 338, 4721, 540, 519, 9390, 2223, 17078, 523, 609, 5370, 269, 1809, 959, 697, 1934, 568, 1100, 1216, 585, 5195, 5111, 563, 5591, 267, 789, 5749, 1406, 930, 4990, 540, 588, 19702, 1214, 10935, 10188, 519, 3905, 521, 1343, 269, 1358, 616, 4342, 1564, 267, 29805, 968, 338, 4721, 540, 519, 9390, 892, 1317, 540, 519, 2220, 11691, 5322, 789, 1118, 950, 789, 3802, 9789, 344, 949, 849, 1118, 930, 26348, 1745, 15798, 1157, 11652, 581, 516, 1783, 789, 666, 3142, 5230, 13907, 563, 23173, 1564, 723, 1044, 5111, 585, 5553, 543, 616, 7150, 1082, 2186, 540, 2053, 538, 519, 6426, 267, 4481, 519, 6196, 4530, 574, 3415, 269, 1358, 616, 7620, 5941, 676, 2012, 2899, 519, 943, 21198, 540, 5527, 6035, 10130, 547, 14062, 519, 22445, 267, 602, 5030, 827, 476, 273, 8536, 849, 1296, 1354, 4906, 729, 4535, 630, 13765, 856, 2637, 269, 476, 1321, 281, 1626, 1040, 6145, 4207, 4342, 601, 5411, 267, 14062, 4440, 1031, 873, 547, 4163, 5370, 282, 547, 4163, 856, 5144, 267, 3170, 267, 543, 21237, 5779, 282, 543, 849, 547, 3761, 4552, 585, 1818, 813, 28328, 267, 512, 757, 267, 543, 849, 15790, 1115, 269, 6682, 601, 554, 1938, 616, 10123, 1500, 883, 16463, 267, 543, 849, 741, 546, 2426, 1522, 581, 6035, 585, 4492, 563, 1432, 779, 602, 6740, 538, 519, 4342, 601, 779, 1208, 335, 286, 2552, 9009, 547, 1018, 513, 2603, 540, 1158, 1589, 267, 621, 3884, 1406, 1216, 269, 6682, 1564, 1832, 3170, 959, 697, 1934, 267, 607, 1454, 607, 476, 1911, 6550, 630, 3393, 269, 276, 4846, 264, 540, 621, 269, 4107, 11864, 723, 513, 4494, 540, 3170, 10876, 741, 4703, 267, 855, 538, 9390, 5210, 267, 602, 4494, 1131, 3180, 538, 14246, 543, 2014, 513, 4342, 601, 547, 1831, 23986, 730, 267, 865, 621, 779, 782, 17477, 538, 741, 1208, 1186, 267, 547, 5351, 4688, 873, 3579, 563, 288, 4342, 601, 779, 1208, 335, 568, 899, 922, 1378, 15409, 1426, 4859, 256, 1879, 519, 4342, 601, 814, 2965, 3875, 2371, 547, 3548, 267, 922, 1208, 335, 3587, 5458, 543, 6109, 269, 1879, 1426, 568, 17077, 267, 519, 1208, 335, 695, 337, 3855, 607, 519, 4342, 601, 2729, 1055, 519, 3170, 6740, 972, 269, 1879, 713, 4523, 267, 519, 1208, 335, 593, 930, 4342, 1564, 1522, 849, 1166, 641, 936, 547, 519, 2427, 563, 763, 4342, 1564, 649, 1224, 827, 538, 519, 14644, 999, 616, 835, 3620, 22981, 26768, 4342, 1564, 267, 12212, 1572, 546, 668, 539, 2456, 269, 645, 716, 20379, 267, 799, 723, 476, 273, 1208, 1186, 267, 2661, 538, 519, 24301, 543, 849, 536, 867, 1359, 7823, 4525, 540, 1292, 5607, 269, 1358, 723, 2965, 10156, 7953, 543, 18219, 4703, 982, 741, 26768, 30980, 563, 2252, 596, 941, 856, 538, 519, 9390, 538, 519, 4832, 267, 621, 9327, 1406, 1491, 17890, 585, 596, 547, 3489, 1360, 19818, 344, 269, 769, 3905, 4365, 267, 513, 829, 18876, 666, 2661, 1152, 476, 273, 2395, 610, 865, 1510, 1216, 267, 2705, 4342, 1564, 666, 979, 476, 273, 4374, 610, 811, 1510, 2921, 513, 4235, 269, 1656, 538, 519, 5162, 267, 930, 723, 519, 1318, 547, 979, 5216, 4374, 256, 589, 4342, 601, 723, 519, 1318, 547, 6336, 909, 547, 835, 268, 274, 6113, 540, 922, 2407, 1560, 2597, 538, 1216, 1510, 11543, 7210, 269, 1879, 513, 19818, 344, 4342, 601, 1281, 2063, 569, 1205, 1216, 267, 621, 666, 4235, 607, 513, 2603, 607, 476, 2918, 17529, 630, 1911, 20990, 264, 538, 1175, 513, 1906, 3764, 256, 1358, 723, 519, 1318, 547, 10110, 1216, 513, 2603, 18334, 982, 1034, 1585, 824, 10130, 269, 1358, 11338, 1205, 930, 540, 519, 1216, 602, 789, 991, 689, 519, 2371, 789, 3548, 563, 8450, 811, 281, 13738, 3933, 9094, 17897, 476, 274, 9210, 28964, 476, 275, 267, 13738, 3933, 9094, 281, 17897, 476, 274, 9210, 28964, 476, 275, 454, 23173, 1564, 616, 4396, 10130, 267, 543, 789, 1810, 1406, 29153, 827, 8876, 13907, 909, 547, 476, 7785, 6550, 630, 7742, 4846, 1040, 1403, 789, 616, 6035, 6266, 602, 616, 849, 646, 11998, 267, 1498, 267, 789, 786, 1201, 639, 720, 547, 5229, 613, 269, 1656, 952, 789, 5749, 1406, 5701, 1134, 267, 789, 1522, 1256, 838, 527, 513, 1360, 3983, 23337, 2454, 5277, 693, 519, 829, 330, 573, 945, 5134, 805, 338, 873, 563, 763, 4342, 1564, 649, 1294, 1631, 723, 2965, 4957, 24215, 3787, 689, 519, 4090, 519, 10348, 540, 2701, 9346, 4682, 547, 21125, 968, 10843, 4342, 1564, 602, 11953, 10366, 267, 543, 849, 1360, 1454, 4154, 267, 543, 849, 11720, 6804, 10007, 892, 630, 272, 918, 7714, 269, 476, 1015, 281, 273, 1040, 769, 930, 3334, 540, 519, 1158, 267, 789, 616, 1869, 519, 513, 2603, 540, 18019, 1505, 547, 10536, 5111, 269, 1656, 789, 2461, 811, 982, 2693, 519, 1152, 1826, 540, 968, 338, 1222, 892, 596, 3580, 2479, 1265, 538, 519, 1647, 540, 519, 9390, 256, 0, 8133, 267, 972, 616, 606, 12808, 1297, 540, 3435, 267, 1498, 707, 4116, 786, 1616, 596, 547, 3442, 519, 1034, 6654, 835, 563, 2691, 519, 3196, 1281, 960, 593, 519, 2527, 267, 602, 960, 666, 581, 10736, 883, 1079, 3029, 912, 268, 519, 1761, 1648, 540, 519, 1843, 454, 268, 519, 15452, 1648, 540, 519, 1843, 454, 2252, 596, 4019, 513, 3196, 540, 1269, 8517, 326, 259, 1287, 2899, 519, 1843, 814, 1044, 6659, 519, 476, 273, 269, 275, 332, 621, 786, 1869, 581, 19335, 1317, 519, 3196, 568, 1152, 1175, 2614, 547, 25559, 8904, 543, 972, 568, 9039, 2451, 540, 547, 17108, 519, 1843, 269, 1924, 519, 15452, 1648, 786, 581, 4642, 543, 519, 1152, 1689, 786, 581, 519, 1689, 538, 1761, 1648, 269, 901, 568, 15069, 875, 707, 4116, 6499, 596, 547, 20272, 519, 1966, 563, 4913, 267, 15475, 519, 3196, 568, 1269, 8517, 267, 1822, 267, 1822, 267, 1822, 326, 259, 630, 11004, 781, 1100, 2027, 4644, 547, 713, 1297, 824, 982, 621, 781, 2462, 32656, 769, 713, 2013, 519, 1843, 786, 581, 6659, 476, 273, 269, 275, 332, 267, 855, 621, 786, 849, 581, 21409, 693, 513, 1164, 3432, 269, 634, 960, 2944, 786, 581, 513, 2603, 2362, 982, 538, 519, 1101, 2013, 1317, 621, 4679, 519, 15452, 1648, 540, 519, 1843, 607, 1134, 607, 922, 1761, 1648, 563, 1805, 2774, 569, 6340, 519, 2243, 1058, 723, 7150, 602, 519, 1843, 6238, 693, 1964, 543, 7475, 693, 1964, 476, 273, 269, 275, 332, 2362, 269, 901, 1131, 4628, 14574, 519, 1966, 269, 0, 291, 2884, 776, 21973, 9360, 585, 18518, 781, 1453, 281, 519, 1909, 540, 519, 10629, 563, 31880, 528, 728, 9360, 585, 18518, 1453, 616, 2556, 585, 1286, 625, 5786, 1141, 18497, 543, 1134, 1216, 4255, 1397, 28119, 2157, 540, 21973, 269, 634, 1909, 540, 519, 10629, 538, 3246, 19993, 15324, 5959, 1416, 547, 1762, 2550, 568, 5941, 269, 4746, 267, 519, 1697, 5959, 7014, 585, 21973, 9360, 568, 3177, 563, 263, 2735, 280, 1040, 26678, 21973, 9360, 585, 18518, 781, 1453, 281, 519, 1909, 540, 519, 10629, 269, 18518, 6925, 2433, 634, 4750, 2986, 634, 18518, 3557, 6481, 5948, 267, 476, 11025, 263, 1556, 1070, 476, 6434, 273, 268, 276, 907, 0, 299, 582, 639, 7401, 814, 1044, 14916, 1031, 585, 5215, 540, 1296, 538, 519, 5101, 607, 513, 7401, 585, 7067, 269, 898, 568, 1631, 1360, 1134, 8153, 538, 5375, 5389, 269, 898, 12090, 538, 3127, 543, 3624, 269, 898, 779, 513, 7401, 1500, 689, 513, 3099, 540, 2603, 639, 2371, 543, 3006, 1572, 2603, 639, 7401, 563, 299, 582, 639, 7401, 568, 513, 7524, 5835, 5277, 602, 568, 2813, 676, 2848, 9429, 7401, 3762, 609, 3905, 1216, 269, 634, 25739, 1786, 342, 568, 6653, 543, 29549, 267, 543, 814, 513, 1769, 6492, 269, 20769, 639, 814, 513, 2189, 24710, 602, 930, 5635, 547, 519, 9329, 540, 5810, 269, 634, 29549, 11041, 1336, 593, 519, 24968, 1711, 519, 20416, 269, 1358, 616, 13603, 3232, 1282, 519, 28480, 4005, 269, 634, 18742, 616, 13603, 1175, 1354, 519, 5810, 2253, 547, 2408, 563, 299, 582, 639, 7401, 3568, 513, 1804, 7274, 540, 1898, 5820, 602, 3895, 1072, 281, 14434, 267, 8324, 267, 543, 6886, 269, 5221, 519, 7401, 3762, 2270, 606, 11606, 540, 891, 5820, 789, 666, 581, 30341, 883, 513, 1507, 2179, 540, 5277, 602, 568, 1786, 14954, 269, 901, 2306, 519, 7401, 4235, 723, 606, 5393, 1164, 9422, 1871, 269, 6145, 3039, 7401, 267, 519, 24968, 540, 2603, 639, 7401, 616, 14095, 609, 1713, 5666, 540, 14933, 563, 299, 582, 639, 7401, 568, 1114, 982, 824, 8677, 540, 3039, 29225, 538, 602, 621, 1281, 711, 2270, 524, 622, 577, 1231, 269, 898, 568, 513, 1390, 2707, 540, 25168, 1156, 11169, 543, 32064, 6950, 602, 2709, 3875, 1072, 2640, 269, 898, 666, 948, 596, 2661, 3476, 543, 4339, 5312, 3676, 899, 3987, 543, 2295, 2068, 267, 1175, 899, 3039, 7401, 269, 20769, 639, 7401, 568, 711, 513, 12990, 585, 3039, 7401, 269, 898, 3085, 1406, 2270, 1022, 14933, 269, 898, 849, 1281, 711, 2270, 1022, 512, 2335, 514, 269, 769, 1249, 267, 621, 3568, 5176, 1100, 14933, 563, 26589, 2515, 1373, 3638, 538, 14434, 267, 2603, 639, 7401, 3762, 849, 2270, 513, 1713, 1297, 540, 4550, 2275, 22083, 7135, 269, 1452, 7135, 723, 1044, 8810, 547, 581, 2523, 2500, 1996, 6089, 2860, 269, 634, 7401, 6978, 1349, 814, 849, 1044, 1336, 547, 581, 3810, 2500, 1996, 28623, 543, 26679, 543, 2960, 3676, 971, 607, 27728, 543, 26253, 269, 769, 4791, 8062, 267, 2550, 945, 3576, 513, 1164, 2179, 540, 561, 12720, 540, 519, 1480, 1351, 7431, 3857, 655, 3196, 1185, 7864, 8320, 540, 17150, 2860, 269, 634, 4960, 540, 3384, 17150, 2860, 729, 849, 4389, 676, 715, 836, 575, 648, 978, 630, 1492, 12015, 2603, 639, 8768, 1040, 4033, 2090, 849, 7152, 606, 2333, 538, 519, 1981, 540, 7181, 543, 897, 28030, 11871, 607, 1134, 607, 897, 28030, 543, 5711, 11871, 563, 299, 582, 639, 7401, 666, 948, 596, 2539, 707, 8501, 269, 4400, 8501, 666, 1291, 547, 3875, 1072, 2152, 269, 16183, 29912, 568, 513, 2068, 538, 799, 29693, 13196, 540, 9761, 1570, 18645, 593, 519, 16209, 269, 634, 1164, 2157, 540, 14434, 538, 20769, 639, 7401, 948, 3247, 519, 5250, 540, 8501, 29693, 13196, 269, 901, 2306, 621, 2500, 538, 9013, 1164, 1973, 2604, 563, 299, 582, 639, 7401, 666, 849, 5351, 538, 9561, 2597, 676, 2810, 707, 10307, 269, 2659, 1560, 568, 2111, 547, 6633, 811, 3170, 952, 707, 10307, 568, 2362, 269, 1656, 950, 596, 6633, 811, 3170, 267, 596, 6175, 519, 2179, 540, 1426, 602, 596, 8532, 267, 7551, 1447, 2287, 707, 14031, 267, 799, 5012, 547, 513, 2539, 6981, 540, 1426, 267, 543, 538, 2490, 267, 1447, 8477, 10057, 269, 25667, 568, 606, 3390, 540, 1390, 6161, 2221, 269, 3509, 1004, 616, 10010, 609, 1164, 1973, 2604, 267, 3987, 267, 543, 1164, 8501, 267, 543, 609, 1434, 2601, 281, 621, 779, 711, 2635, 547, 581, 14968, 563, 299, 582, 639, 7401, 543, 824, 2603, 639, 3597, 29225, 5351, 538, 4543, 2226, 3339, 1648, 2157, 2429, 519, 1554, 269, 10552, 4006, 2157, 616, 519, 1034, 1455, 2014, 540, 9854, 543, 1970, 1648, 2157, 269, 634, 1560, 3085, 1406, 1745, 519, 991, 8532, 811, 4006, 1247, 6704, 713, 7401, 269, 634, 7401, 21560, 1560, 4006, 2157, 267, 865, 602, 621, 3085, 1406, 979, 1932, 1970, 610, 1932, 1164, 563, 299, 582, 639, 267, 607, 1134, 607, 824, 5388, 543, 4829, 616, 849, 5156, 547, 723, 513, 4105, 1909, 538, 20993, 519, 4761, 1062, 269, 901, 568, 519, 2601, 1946, 1082, 3442, 547, 4235, 19176, 2603, 639, 7401, 950, 789, 7985, 689, 606, 4576, 899, 513, 4411, 610, 2770, 269, 1879, 519, 4761, 1062, 568, 22541, 676, 519, 1560, 267, 621, 666, 8396, 17900, 543, 8290, 811, 3362, 269, 589, 4617, 4761, 1062, 666, 1291, 547, 29406, 10108, 269, 25530, 19176, 2603, 639, 7401, 666, 948, 2333, 707, 1560, 779, 4187, 547, 17900, 543, 8290, 563, 5194, 4324, 540, 519, 21364, 3039, 568, 922, 4390, 547, 12954, 20018, 2504, 269, 7502, 10402, 568, 606, 1271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14950, 538, 2990, 855, 10690, 2614, 547, 5512, 1863, 3350, 563, 274, 269, 1677, 4188, 21015, 22651, 267, 16833, 873, 1472, 707, 21389, 1235, 609, 519, 27374, 6849, 18746, 269, 24344, 20653, 23145, 2269, 1186, 16119, 547, 2226, 12972, 543, 6617, 780, 3528, 1739, 891, 4808, 543, 10115, 942, 538, 8939, 3617, 3106, 10591, 267, 596, 3513, 1305, 3054, 909, 585, 9118, 3108, 540, 11791, 5066, 619, 330, 908, 2833, 256, 5457, 267, 2921, 1416, 540, 707, 1560, 1797, 1373, 14942, 827, 6604, 2864, 982, 7996, 585, 7063, 547, 4755, 269, 3767, 1205, 4712, 547, 1350, 728, 9108, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 22802, 5004, 454, 268, 3883, 532, 1299, 2480, 1117, 30389, 454, 268, 12833, 334, 6005, 543, 9796, 906, 454, 268, 681, 1581, 19534, 12706, 518, 454, 268, 16797, 9248, 6732, 16949, 454, 268, 6796, 543, 29766, 454, 268, 22048, 1299, 6732, 16373, 454, 268, 623, 5308, 1299, 6744, 719, 12229, 454, 268, 4937, 15484, 454, 268, 14716, 1299, 24581, 16811, 454, 763, 1985, 5108, 540, 3937, 23934, 3301, 568, 6368, 1934, 269, 2913, 721, 1397, 596, 563, 6546, 781, 875, 1454, 649, 4312, 6738, 538, 513, 1032, 454, 302, 6113, 619, 9268, 543, 10203, 269, 16258, 563, 268, 16373, 1299, 12618, 20929, 454, 268, 4937, 16811, 20929, 454, 13425, 856, 938, 3937, 23934, 3301, 6476, 3391, 269, 8414, 10918, 563, 1692, 6496, 513, 681, 1581, 6355, 7844, 4518, 888, 305, 1581, 4213, 616, 14762, 2066, 1082, 6080, 267, 609, 1007, 3255, 6932, 1169, 1554, 269, 1717, 267, 4896, 3168, 883, 4358, 513, 23934, 1870, 2115, 547, 1174, 519, 2956, 540, 2348, 606, 2500, 23934, 1870, 2203, 538, 1747, 563, 1432, 1772, 513, 681, 1581, 7844, 888, 288, 23934, 1870, 2203, 568, 1114, 538, 1082, 2081, 689, 824, 2010, 540, 4213, 269, 634, 6671, 1870, 2203, 786, 581, 1759, 1472, 519, 9042, 540, 2901, 1434, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32552, 717, 792, 543, 13363, 633, 16811, 585, 24305, 619, 330, 908, 257, 607, 851, 540, 834, 16300, 13493, 1315, 11846, 1299, 28046, 1315, 17029, 2401, 1299, 769, 6441, 710, 4787, 908, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 1336, 8885, 29957, 998, 23749, 3735, 835, 3781, 950, 594, 16686, 2390, 606, 10578, 8142, 593, 678, 24250, 2674, 807, 910, 1004, 941, 7234, 875, 547, 14377, 3656, 6054, 689, 2296, 547, 4936, 1014, 256, 1306, 513, 23316, 27423, 543, 513, 10583, 4759, 540, 519, 4936, 1014, 29563, 267, 1250, 1719, 729, 533, 31985, 269, 9741, 1705, 594, 917, 602, 713, 17608, 15529, 8559, 1131, 1291, 803, 547, 606, 3078, 7045, 5473, 1250, 13395, 1719, 538, 4654, 543, 930, 1279, 16519, 326, 13516, 17052, 780, 2005, 782, 3323, 950, 594, 4718, 513, 7662, 689, 579, 270, 17746, 3191, 299, 1478, 267, 945, 2877, 6351, 24758, 513, 2629, 3561, 1107, 519, 14913, 7489, 630, 10345, 264, 8648, 262, 2376, 827, 7598, 513, 25799, 25943, 538, 513, 19858, 2104, 3557, 5742, 269, 1358, 4941, 5583, 593, 17021, 519, 2140, 543, 2243, 8308, 1247, 8497, 922, 3312, 2495, 543, 2796, 269, 3371, 781, 519, 4845, 789, 3177, 1384, 265, 257, 10345, 8648, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 8119, 22177, 28274, 1250, 1893, 1983, 267, 594, 13264, 1524, 519, 4845, 1900, 8386, 9912, 267, 12261, 621, 883, 4936, 1014, 267, 543, 6035, 1250, 4528, 281, 2608, 257, 10345, 8648, 281, 595, 636, 642, 320, 2936, 19327, 14295, 324, 328, 4790, 15856, 388, 505, 1308, 324, 522, 521, 26324, 513, 329, 1393, 1368, 591, 928, 548, 476, 388, 503, 328, 524, 564, 26324, 388, 505, 523, 4512, 1133, 328, 684, 4512, 632, 3557, 513, 548, 19274, 3218, 592, 14241, 521, 26324, 8275, 2763, 1073, 328, 624, 633, 548, 561, 528, 8119, 22177, 7069, 3210, 17275, 7279, 1851, 824, 3755, 282, 649, 3459, 29050, 17975, 519, 8144, 267, 4180, 6111, 543, 15984, 547, 4936, 1014, 8239, 3652, 269, 1284, 1256, 1185, 1187, 18530, 1472, 24668, 543, 5309, 338, 1644, 547, 5824, 5072, 602, 1312, 4654, 2671, 269, 898, 18056, 803, 540, 1346, 3735, 5991, 697, 1353, 7886, 1282, 2852, 267, 1141, 7214, 13287, 23091, 16900, 609, 17409, 543, 23274, 780, 2026, 938, 6643, 8057, 21950, 267, 865, 1705, 1250, 4276, 609, 891, 8284, 4936, 2103, 16559, 2066, 519, 8608, 269, 17652, 2614, 267, 649, 4646, 513, 7524, 2228, 1895, 267, 27300, 2984, 827, 938, 6561, 267, 2528, 267, 543, 2648, 585, 519, 4936, 1014, 1893, 269, 3414, 713, 1184, 267, 594, 7691, 1945, 7096, 281, 4352, 3845, 9674, 721, 9308, 267, 938, 3838, 4282, 543, 18653, 4547, 721, 6251, 1927, 982, 2479, 1354, 780, 3080, 3593, 3957, 5981, 267, 8385, 689, 7033, 529, 334, 4673, 855, 1631, 2713, 538, 8050, 267, 7000, 1010, 8966, 15908, 1107, 646, 6394, 25447, 4936, 1014, 22827, 10023, 3140, 20375, 543, 5339, 5515, 269, 6271, 3593, 267, 1656, 571, 267, 1759, 538, 29246, 11732, 267, 21334, 539, 1200, 5326, 540, 6679, 513, 2757, 4936, 1014, 29221, 2044, 21751, 538, 524, 990, 3419, 328, 543, 1071, 345, 517, 659, 328, 538, 1715, 3840, 4975, 14693, 269, 3776, 7391, 2095, 539, 24672, 1063, 3978, 1893, 9840, 543, 1769, 27329, 7333, 614, 267, 8108, 513, 9395, 10275, 27848, 2146, 3808, 676, 1455, 16060, 5103, 10923, 4763, 780, 3719, 1287, 3357, 606, 6397, 4729, 6335, 780, 20694, 6069, 12180, 513, 5691, 2743, 1575, 1141, 5171, 1223, 13686, 741, 2189, 15421, 543, 1865, 1761, 3785, 5009, 4936, 1014, 2528, 5001, 269, 15526, 8815, 2898, 27329, 569, 267, 11235, 547, 3565, 9797, 547, 938, 2686, 9371, 269, 2334, 781, 950, 1919, 3893, 4277, 780, 7628, 519, 1101, 5870, 267, 5981, 30792, 1010, 9058, 16826, 4015, 3842, 3381, 1289, 267, 4687, 4241, 8941, 3297, 1142, 31074, 269, 3973, 267, 1656, 571, 14281, 721, 609, 513, 2661, 17431, 540, 1818, 8949, 524, 990, 3419, 328, 1210, 1200, 20516, 781, 5728, 11600, 269, 3733, 1909, 729, 547, 7520, 1893, 11925, 267, 4543, 2818, 2087, 741, 15334, 543, 1451, 811, 827, 27597, 781, 10409, 16082, 780, 7437, 891, 11401, 267, 938, 6125, 22541, 267, 13321, 13680, 4205, 883, 6209, 3347, 269, 901, 1995, 6026, 803, 3407, 4245, 827, 8508, 938, 5072, 543, 5807, 4296, 3564, 10665, 269, 1635, 8362, 10283, 538, 713, 2228, 2146, 267, 594, 6591, 4030, 883, 1585, 3344, 540, 4936, 1014, 1272, 267, 9821, 267, 543, 5389, 602, 2620, 2989, 1250, 7071, 585, 938, 7104, 1686, 543, 3961, 780, 1103, 3932, 267, 1018, 7620, 8604, 899, 513, 2241, 8144, 3635, 5828, 856, 547, 581, 606, 23429, 3460, 4904, 609, 17409, 267, 1565, 267, 543, 9434, 17052, 269, 25927, 908, 602, 2582, 4845, 6039, 607, 513, 18463, 585, 2699, 4593, 1478, 532, 1250, 2686, 11348, 543, 2870, 19644, 8823, 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, 9558, 17218, 519, 1739, 4845, 547, 4936, 1014, 912, 10345, 8648, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 888, 3721, 476, 272, 281, 10576, 519, 1292, 2694, 540, 519, 4845, 543, 741, 2497, 563, 20428, 281, 10323, 8648, 454, 9223, 281, 1215, 786, 6388, 540, 519, 25799, 25943, 948, 6608, 543, 4961, 540, 519, 2104, 3557, 5742, 29311, 741, 3853, 2496, 3721, 476, 273, 281, 14419, 519, 3617, 4936, 1014, 6863, 585, 1142, 851, 540, 519, 4845, 563, 10345, 8648, 281, 10323, 8648, 630, 1607, 568, 513, 1697, 10902, 543, 1281, 711, 2154, 8144, 8094, 1692, 281, 595, 636, 454, 15884, 6388, 281, 642, 320, 2936, 19327, 454, 1993, 519, 25799, 25943, 281, 513, 14295, 320, 4790, 15856, 388, 505, 1308, 26324, 3097, 15276, 281, 513, 329, 25917, 454, 326, 4261, 906, 281, 1368, 591, 928, 548, 454, 663, 281, 476, 388, 503, 328, 454, 31842, 714, 839, 281, 524, 564, 26324, 388, 505, 523, 4512, 454, 1993, 519, 2104, 281, 513, 328, 19274, 3218, 592, 14241, 454, 13750, 5742, 281, 1133, 328, 2317, 320, 632, 3557, 454, 9418, 1047, 281, 521, 26324, 8275, 2763, 454, 26132, 3853, 281, 1073, 328, 624, 633, 548, 561, 528, 692, 3721, 476, 274, 281, 11352, 519, 1913, 543, 2453, 538, 513, 19016, 1227, 2953, 1259, 538, 4936, 1014, 267, 2921, 883, 2272, 1641, 268, 14620, 268, 15953, 630, 306, 309, 302, 264, 2497, 543, 1110, 604, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 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, 7170, 281, 4197, 623, 23635, 543, 4706, 18726, 17583, 692, 7072, 912, 5331, 2348, 2699, 267, 1085, 3315, 15649, 593, 707, 2960, 602, 616, 28349, 543, 3006, 11213, 269, 1452, 15649, 666, 2408, 9170, 855, 1034, 1419, 1397, 909, 593, 519, 19704, 267, 1714, 28647, 267, 21435, 267, 543, 2539, 1394, 269, 1280, 930, 1004, 267, 713, 568, 741, 4641, 910, 789, 2661, 609, 513, 2783, 1572, 27728, 269, 2913, 781, 4685, 883, 1018, 3123, 27728, 267, 922, 4276, 547, 11976, 267, 543, 875, 1978, 6090, 1522, 3310, 713, 2960, 4524, 780, 1432, 1772, 623, 23635, 888, 303, 23635, 568, 606, 12982, 2960, 2783, 7133, 6634, 540, 1004, 5001, 269, 898, 4523, 950, 938, 1560, 779, 8878, 1062, 1107, 519, 4761, 1062, 1107, 15920, 856, 25768, 6786, 602, 3432, 909, 519, 2208, 4783, 540, 2960, 2281, 269, 28611, 267, 2960, 2281, 1332, 7444, 543, 1166, 820, 1055, 827, 1169, 2185, 4374, 269, 1717, 267, 538, 27728, 267, 1007, 2960, 2281, 1847, 547, 519, 2627, 865, 6385, 602, 789, 18061, 909, 1354, 789, 666, 8774, 267, 4929, 5394, 3623, 854, 10253, 543, 2699, 15649, 780, 7049, 525, 7591, 589, 10020, 912, 19950, 5944, 267, 1382, 5267, 602, 972, 949, 581, 513, 3095, 1063, 27728, 543, 938, 6090, 269, 13018, 267, 835, 1880, 5444, 1634, 607, 17692, 296, 295, 272, 814, 9575, 3744, 262, 3007, 269, 1677, 1174, 1946, 267, 1577, 781, 1101, 2263, 1018, 713, 5444, 1281, 780, 25603, 9253, 534, 5448, 7756, 2747, 5025, 1087, 18620, 19871, 476, 276, 630, 300, 6395, 276, 2187, 9281, 296, 295, 272, 1958, 3941, 513, 3940, 1572, 631, 6395, 276, 799, 6411, 899, 513, 3354, 9856, 3330, 938, 2281, 269, 1879, 513, 3644, 1045, 3547, 267, 631, 6395, 276, 17767, 621, 543, 12153, 606, 15372, 267, 1437, 908, 519, 31785, 517, 13374, 269, 3955, 2536, 976, 616, 5946, 5950, 676, 3984, 2281, 538, 3210, 547, 8290, 267, 9117, 607, 15202, 6675, 547, 10332, 7404, 2281, 540, 1761, 6937, 269, 26243, 267, 631, 6395, 276, 2337, 4339, 1996, 10194, 5563, 780, 4913, 267, 1919, 1205, 7294, 950, 621, 2501, 547, 27728, 1317, 631, 6395, 276, 2157, 2333, 711, 1152, 1282, 10194, 5563, 855, 849, 538, 16991, 2175, 971, 607, 27728, 269, 12207, 3494, 602, 936, 5562, 631, 6395, 276, 1223, 3565, 547, 5312, 6553, 2938, 538, 891, 4713, 780, 24868, 1218, 2986, 17692, 296, 295, 272, 22319, 23105, 2060, 16842, 11485, 912, 14722, 4362, 1808, 7648, 1369, 519, 17692, 296, 295, 272, 5444, 630, 21406, 19301, 11679, 610, 2582, 30859, 26340, 3359, 264, 602, 3100 ]

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

[ 1235, 454, 12812, 593, 3733, 7732, 1315, 3733, 700, 1235, 543, 594, 786, 1491, 596, 972 ]

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

[ 997, 1154, 593, 519, 1895, 2175, 540, 1272, 7229, 547, 3142, 827, 922, 2168, 9552, 538, 2898, 610, 538, 851, 3248, 268, 630, 323, 264, 1955, 19397, 3800, 5497, 547, 2061, 24570, 1369, 519, 1895, 3248, 268, 630, 324, 264, 1280, 322, 4601, 22151, 1453, 540, 519, 1895, 547, 1776, 1895, 23102, 13482, 593, 519, 10644, 543, 15722, 7321, 540, 519, 17235, 540, 2637, 17462, 267, 9137, 476, 273, 454, 303, 684, 27720, 6411, 1331, 21393, 543, 849, 635, 13109, 538, 543, 8942, 267, 24242, 267, 610, 1651, 924, 618, 547, 3479, 21393, 267, 543, 6105, 547, 519, 15007, 723, 606, 17185, 547, 2061, 543, 16401, 873, 563, 23219, 10963, 538, 519, 476, 1708, 273, 6739, 12289, 540, 12907, 454, 763, 1480, 2924, 3906, 2549, 333, 17965, 4139, 543, 5274, 7126, 13772, 6592, 2527, 2665, 540, 10963, 676, 519, 6739, 20331, 17086, 1996, 21127, 1282, 519, 476, 1708, 273, 6739, 12289, 540, 12907, 267, 1519, 25711, 267, 4291, 1903, 267, 22149, 543, 561, 17415, 269, 2991, 519, 29246, 320, 32003, 267, 3397, 333, 11726, 338, 11910, 600, 731, 267, 14199, 4937, 540, 2549, 333, 17965, 4139, 267, 1767, 602, 10963, 8149, 834, 732, 711, 9678, 13685, 543, 616, 2693, 851, 540, 606, 1256, 3677, 4806, 540, 2112, 10963, 267, 1519, 3063, 9080, 2772, 4291, 1903, 267, 25711, 543, 22149, 538, 824, 13026, 4525, 540, 12907, 4799, 6097, 547, 3220, 269, 10793, 20242, 1782, 540, 519, 9576, 17434, 4659, 585, 16470, 5525, 267, 891, 3527, 616, 851, 540, 519, 6739, 14985, 540, 4550, 28621, 20482, 8759, 13137, 269, 4706, 3804, 568, 834, 1729, 1491, 20947, 593, 519, 2551, 585, 519, 2912, 13369, 547, 5706, 1701, 20242, 1782, 7074, 602, 2147, 12485, 941, 1031, 538, 519, 5822, 4258, 7770, 2782, 267, 538, 519, 15787, 4655, 267, 543, 1282, 2622, 2782, 4083, 563, 763, 6896, 2470, 540, 519, 6146, 902, 540, 21127, 729, 4080, 676, 13222, 540, 519, 4987, 2950, 540, 4279, 6628, 543, 5125, 269, 634, 2212, 540, 3703, 4987, 24696, 277, 267, 9400, 18703, 267, 538, 4276, 609, 519, 6146, 902, 538, 29246, 320, 267, 7074, 281, 834, 2171, 6785, 602, 30922, 781, 4566, 585, 519, 12289, 3769, 3063, 9080, 2772, 4291, 1903, 676, 519, 4108, 543, 2027, 2533, 4799, 4002, 476, 278, 4989, 267, 4436, 12139, 14216, 1975, 20672, 601, 3370, 1239, 689, 513, 4436, 4987, 1867, 547, 519, 25143, 652, 698, 3812, 593, 476, 277, 4989, 269, 4340, 547, 519, 1239, 540, 5925, 954, 8526, 21350, 5367, 676, 519, 14618, 12579, 267, 6739, 4108, 10986, 5645, 856, 6146, 902, 540, 21127, 543, 4291, 1903, 540, 21977, 14586, 540, 2112, 1310, 789, 23384, 606, 23827, 566, 269, 1548, 729, 4330, 538, 873, 5330, 539, 547, 519, 4087, 540, 519, 4703, 1336, 538, 29246, 320, 269, 14216, 1975, 20672, 601, 3357, 547, 519, 3932, 602, 789, 4951, 602, 519, 2527, 659, 637, 941, 9444, 4351, 3527, 6862, 29065, 11036, 540, 930, 4108, 269, 13518, 811, 2693, 267, 891, 2326, 5815, 602, 519, 6146, 902, 540, 21127, 1223, 581, 851, 540, 513, 834, 27234, 4640, 257, 547, 834, 842, 574, 28371, 519, 19742, 2551, 543, 16401, 4187, 4799, 763, 4139, 18966, 585, 5274, 7126, 543, 922, 24988, 538, 12907, 267, 519, 4741, 585, 6406, 19115, 625, 630, 5425, 293, 1070, 4080, 2963, 540, 519, 585, 24862, 4483, 540, 21127, 676, 519, 6739, 4108, 689, 519, 14850, 773, 3022, 25795, 1575, 565, 547, 6576, 267, 543, 519, 5213, 1115, 330, 543, 700, 7795, 13089, 21933, 6814, 267, 543, 17235, 320, 1210, 519, 2259, 540, 19288, 13122, 269, 4340, 547, 519, 11483, 293, 267, 3885, 941, 9674, 267, 543, 6054, 543, 11436, 941, 1476, 4593, 730, 269, 4340, 547, 519, 11483, 293, 267, 6739, 4229, 849, 15286, 21127, 689, 8429, 998, 19493, 23725, 832, 547, 519, 1875, 268, 31039, 2694, 540, 12907, 267, 6679, 3595, 593, 873, 269, 4340, 547, 21977, 8387, 267, 519, 1482, 2259, 729, 1031, 676, 6739, 10136, 538, 5681, 344, 267, 10609, 1046, 643, 543, 19109, 643, 563, 763, 8689, 540, 2549, 333, 17965, 4139, 12907, 267, 538, 606, 5967, 609, 1546, 583, 22385, 654, 16279, 593, 476, 275, 4989, 476, 1708, 273, 267, 15034, 6576, 540, 1210, 6098, 12485, 547, 632, 10968, 519, 19742, 2551, 538, 14850, 773, 3022, 4872, 630, 23437, 9200, 2299, 5969, 1055, 1569, 547, 1426, 267, 1216, 267, 5201, 267, 543, 3002, 3761, 264, 543, 8744, 873, 547, 513, 19493, 31685, 269, 1703, 941, 7074, 2665, 540, 17527, 19493, 23725, 832, 267, 7387, 532, 540, 21772, 267, 11318, 540, 21127, 945, 6836, 547, 4734, 519, 14850, 773, 3022, 4872, 563, 4002, 476, 736, 4864, 476, 1708, 273, 267, 519, 8628, 11347, 540, 519, 6739, 18966, 547, 3486, 3906, 538, 21499, 267, 631, 16554, 841, 772, 569, 534, 990, 267, 538, 3210, 547, 519, 2022, 540, 7064, 547, 519, 5518, 540, 12907, 267, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 344, 267, 585, 519, 1007, 10189, 540, 4108, 5351, 689, 519, 2136, 2276, 267, 3370, 513, 2022, 593, 12108, 10912, 593, 519, 21977, 2551, 711, 547, 581, 838, 1563, 269, 13536, 267, 772, 569, 534, 990, 25216, 1010, 2022, 269, 634, 30626, 540, 519, 7638, 16223, 990, 3534, 681, 3385, 540, 12907, 15570, 17427, 853, 1030, 21123, 4157, 4300, 4705, 547, 5518, 540, 15212, 12138, 11709, 3541, 13852, 523, 543, 26554, 27891, 20913, 3026, 5069, 1067, 14053, 547, 5431, 631, 16554, 841, 772, 569, 534, 990, 607, 1268, 320, 1875, 1989, 1092, 543, 547, 1244, 677, 1864, 547, 519, 6739, 18966, 1813, 547, 1010, 1024, 665, 10537, 7125, 563, 4002, 476, 2537, 4728, 476, 1708, 273, 267, 519, 1530, 329, 332, 540, 12996, 7550, 513, 6571, 593, 519, 10243, 676, 6576, 540, 2112, 10963, 267, 10963, 1996, 8103, 267, 543, 19374, 540, 1480, 2924, 593, 519, 8513, 540, 12907, 269, 769, 13076, 609, 519, 6571, 267, 12996, 28715, 6411, 540, 21393, 543, 824, 19374, 540, 3486, 1876, 8149, 676, 6739, 10136, 593, 519, 8513, 540, 12907, 269, 634, 6571, 2829, 602, 891, 10963, 941, 8149, 834, 517, 519, 9753, 540, 519, 4108, 19524, 2987, 268, 27815, 5518, 32157, 30922, 8487, 4002, 476, 1691, 4989, 476, 1708, 273, 267, 519, 7638, 16223, 990, 3534, 681, 3385, 540, 12907, 7550, 513, 6571, 267, 834, 4002, 519, 10243, 540, 21393, 538, 12907, 676, 519, 6739, 18966, 2580, 538, 799, 519, 3527, 540, 519, 6739, 10136, 543, 519, 6739, 5718, 538, 12907, 616, 6444, 607, 21393, 540, 519, 21977, 1004, 269, 769, 13076, 609, 519, 3948, 540, 519, 681, 3385, 593, 519, 6571, 267, 6411, 540, 21393, 676, 6576, 3769, 912, 268, 2527, 32012, 885, 8149, 676, 6739, 10136, 538, 519, 17303, 13026, 11182, 454, 268, 9836, 2665, 540, 519, 20982, 11318, 540, 21127, 454, 268, 2527, 1244, 677, 725, 540, 519, 19742, 2551, 454, 268, 519, 4483, 540, 19774, 21977, 1453, 883, 519, 2069, 1062, 540, 519, 6739, 18966, 454, 268, 23069, 543, 6098, 9552, 540, 2804, 5989, 6703, 454, 268, 11528, 3527, 540, 519, 6739, 18966, 267, 2966, 585, 519, 16795, 9552, 540, 519, 21977, 1004, 454, 1103, 4873, 476, 1708, 273, 267, 513, 536, 760, 691, 16388, 1895, 538, 519, 2136, 2276, 6837, 5189, 513, 6571, 1915, 1944, 6739, 3527, 538, 12907, 607, 21393, 267, 543, 538, 5147, 519, 2475, 14130, 1705, 865, 267, 855, 9444, 814, 1044, 8815, 607, 540, 5437, 476, 1708, 273, 314, 26303, 14073, 8266, 540, 2477, 267, 799, 5431, 519, 5571, 2621, 538, 12907, 607, 21393, 912, 268, 12996, 630, 785, 1311, 6284, 25011, 743, 541, 2305, 2877, 2639, 268, 16231, 6243, 454, 13750, 906, 676, 8387, 543, 3906, 454, 291, 904, 1310, 519, 6602, 540, 2963, 540, 519, 29246, 320, 32003, 267, 21977, 5518, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 344, 10294, 602, 12907, 729, 7680, 606, 13986, 21393, 269, 14470, 5518, 1656, 337, 2763, 329, 667, 19085, 267, 11788, 10579, 540, 12996, 631, 622, 639, 345, 5651, 1177, 773, 1188, 328, 267, 11788, 10579, 540, 8050, 31883, 5842, 31712, 267, 18207, 1014, 5518, 594, 341, 17505, 13660, 4302, 267, 1977, 5518, 15608, 24068, 267, 543, 11788, 10579, 540, 4516, 3807, 514, 2558, 8775, 879, 849, 12290, 519, 3510, 538, 12907, 607, 513, 21393, 269, 3703, 11788, 10579, 16907, 529, 9652, 1767, 602, 834, 1492, 32012, 885, 538, 29246, 320, 616, 711, 2484, 689, 21393, 4799, 4002, 476, 1724, 4989, 476, 1708, 273, 267, 3943, 5518, 2506, 28609, 5839, 1258, 1767, 646, 4941, 547, 581, 834, 3249, 995, 609, 2474, 2580, 15819, 519, 28252, 540, 519, 834, 525, 5632, 566, 540, 1913, 257, 547, 1439, 519, 2112, 267, 28408, 602, 834, 305, 17892, 796, 559, 831, 958, 9250, 513, 22266, 2112, 267, 543, 621, 568, 1631, 3964, 602, 2112, 10963, 941, 8149, 676, 519, 6739, 7952, 1848, 2098, 601, 839, 5652, 344, 22309, 5839, 1258, 781, 18572, 563, 763, 2353, 27138, 330, 1778, 1014, 7027, 540, 932, 11699, 543, 16241, 20871, 1572, 593, 1169, 1533, 538, 519, 1158, 547, 5431, 519, 21393, 540, 519, 21977, 1004, 1282, 519, 476, 1708, 273, 6739, 12289, 543, 18149, 333, 519, 16809, 540, 519, 834, 305, 11701, 1158, 8487, 19617, 2730, 824, 1533, 3401, 543, 8387, 723, 1500, 6898, 827, 519, 3390, 563, 7049, 17462, 13772, 267, 513, 6115, 267, 667, 5861, 269, 1759, 1875, 3766, 21194, 3919, 8547, 676, 27068, 853, 656, 517, 267, 9783, 513, 2637, 17462, 17073, 1325, 1068, 538, 4989, 476, 1708, 273, 910, 934, 6748, 6576, 540, 22867, 21393, 1996, 19678, 2103, 3842, 513, 3609, 540, 834, 7875, 8336, 8487, 20059, 580, 725, 543, 5359, 454, 21893, 1867, 13408, 606, 4830, 14374, 883, 2436, 519, 6739, 18966, 12217, 3557, 5539, 585, 23563, 540, 519, 2637, 17462, 13482, 538, 922, 12289, 540, 12907, 543, 20147, 972, 616, 912, 268, 476, 272, 264, 10257, 12406, 547, 9959, 6576, 568, 3743, 585, 630, 328, 264, 1463, 543, 1857, 1651, 924, 618, 547, 3479, 21393, 267, 543, 630, 4512, 264, 513, 4806, 540, 32012, 885, 689, 799, 606, 23221, 540, 8247, 547, 6861, 519, 21977, 3084, 1895, 538, 851, 666, 581, 6537, 282, 543, 454, 268, 476, 273, 264, 519, 6228, 540, 513, 3978, 1981, 540, 21393, 538, 12907, 267, 24254, 519, 3656, 17185, 540, 782, 2276, 547, 2061, 21393, 4799, 5715, 8817, 13751, 5811, 540, 519, 6739, 18966, 781, 6601, 2851, 540, 519, 2637, 17462, 13482, 538, 12907, 543, 519, 667, 14280, 547, 16473, 454, 1103, 2038, 4728, 476, 1708, 273, 267, 519, 12751, 1160, 5913, 12460, 540, 519, 4139, 22518, 7040, 267, 10127, 574, 13259, 24703, 16679, 267, 1310, 13844, 6101, 3277, 23552, 689, 476, 4375, 2477, 267, 3323, 519, 5123, 540, 513, 2407, 7634, 540, 2112, 10963, 267, 543, 10963, 1996, 8103, 610, 21393, 538, 12907, 834, 2421, 1022, 1268, 257, 2094, 5437, 476, 1001, 274, 269, 13405, 547, 476, 1708, 273, 267, 519, 16861, 6514, 1185, 1336, 834, 516, 32208, 12406, 585, 18468, 602, 10963, 1369, 519, 16278, 540, 519, 5480, 723, 1044, 8149, 257, 543, 834, 30009, 1761, 2665, 602, 1131, 581, 8098, 24777, 4799, 4002, 476, 275, 4728, 476, 1708, 273, 519, 6167, 5274, 7126, 7027, 2813, 606, 18763, 4139, 8189, 540, 769, 11431, 593, 12907, 883, 19374, 540, 1480, 2924, 543, 540, 3486, 19493, 1876, 269, 4033, 13753, 540, 2112, 10963, 941, 849, 5645, 856, 14384, 896, 8471, 16278, 267, 519, 703, 328, 2209, 540, 799, 941, 4830, 2829, 563, 4002, 476, 2767, 2904, 476, 1708, 273, 267, 513, 1867, 676, 1715, 20514, 4659, 585, 15613, 543, 8889, 543, 14780, 9567, 9931, 28086, 10418, 585, 5274, 7126, 11943, 602, 972, 941, 10257, 12406, 547, 9959, 602, 6576, 1786, 3737, 1079, 4930, 540, 519, 476, 3707, 279, 2637, 17462, 13482, 267, 676, 15597, 1651, 1746, 21393, 998, 24677, 540, 519, 1318, 540, 12907, 607, 513, 1533, 543, 19678, 2103, 607, 513, 4182, 547, 2291, 267, 543, 676, 519, 585, 24862, 4483, 540, 21977, 1453, 547, 6576, 267, 799, 568, 513, 1024, 665, 10537, 957, 896, 2376, 4083, 540, 519, 15007, 269, 589, 14579, 8889, 2376, 17019, 602, 32157, 30922, 781, 3804, 729, 547, 834, 518, 848, 12907, 607, 513, 2797, 543, 3084, 11769, 543, 547, 4072, 1518, 922, 11317, 2580, 2495, 519, 1867, 5713, 607, 513, 9963, 602, 6576, 781, 2112, 1223, 1831, 21393, 563, 4002, 476, 2537, 4864, 476, 1708, 273, 267, 606, 4879, 676, 519, 4659, 585, 519, 5530, 540, 2782, 19528, 602, 21977, 1453, 616, 1373, 7550, 676, 6739, 3885, 543, 15109, 602, 834, 1492, 585, 24862, 4483, 540, 1453 ]

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

[ 9331, 476, 29300, 910, 3203, 17235, 281, 634, 14730, 17121, 540, 11370, 3539, 543, 590, 2454, 3203, 454, 24979, 1307, 1996, 2518, 2686, 2200, 616, 513, 3818, 1532, 11669, 13362, 1870, 602, 2501, 538, 1082, 1368, 2478, 269, 27824, 569, 568, 621, 519, 4357, 21689, 945, 554, 2231, 519, 632, 2548, 1515, 555, 3971, 547, 21102, 606, 1843, 538, 513, 2283, 1049, 646, 626, 269, 1703, 616, 1082, 5837, 267, 5683, 543, 7810, 8456, 799, 3565, 547, 519, 5571, 14226, 540, 2528, 543, 6561, 5001, 563, 2791, 786, 581, 5189, 547, 519, 18632, 2427, 540, 519, 3486, 4346, 540, 1148, 543, 1884, 1172, 885, 1107, 945, 862, 1080, 1148, 10963, 267, 519, 1764, 593, 2528, 267, 945, 519, 18046, 543, 23965, 616, 267, 543, 519, 1198, 540, 2112, 267, 4838, 543, 19525, 593, 1148, 543, 2528, 563, 3528, 12032, 540, 713, 1576, 267, 3811, 1053, 786, 581, 2111, 547, 912, 268, 10576, 2707, 2477, 543, 875, 519, 17403, 540, 1884, 1172, 885, 14796, 4529, 454, 268, 25506, 519, 13766, 540, 13059, 1148, 543, 2686, 3615, 547, 2707, 2477, 11305, 30743, 454, 268, 11512, 519, 1198, 540, 1148, 10963, 593, 4516, 270, 4692, 21808, 454, 268, 10812, 519, 2360, 540, 1148, 17403, 593, 2123, 1148, 16306 ]

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

[ 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 20776, 21215, 9983, 269, 634, 4957, 1101, 3948, 2306, 513, 1007, 3409, 267, 799, 5012, 547, 513, 3791, 3409, 267, 6038, 546, 24387, 1109, 7798, 532, 547, 513, 8772, 5180, 1384, 16248, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 20023, 7132, 4642, 11224, 4642, 563, 1892, 722, 488, 20023, 7132, 4642, 11224, 4642, 563, 1892, 722, 488, 476, 587, 488, 3080, 32674, 20023, 7132, 476, 587, 488, 821, 32674, 4642, 11224, 476, 587, 488, 18314, 587, 488, 4642, 780, 7922, 785, 2515, 3376, 2515, 269, 634, 4957, 1101, 3948, 568, 1100, 3476, 3020, 256, 901, 8772, 3942, 1281, 711, 2270, 1614, 2338, 602, 1223, 581, 4957, 269, 4935, 1142, 14469, 267, 3056, 782, 519, 1259, 1394, 547, 519, 1101, 1689, 267, 2965, 8659, 513, 7301, 3948, 256, 722, 480, 589, 2346, 267, 1175, 835, 2009, 2626, 1310, 782, 2496, 31917, 9983, 10678, 269, 570, 5281, 856, 602, 513, 4570, 15428, 268, 8010, 5832, 666, 2253, 609, 513, 1114, 1297, 780, 3080, 32674, 9050, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 2290, 7132, 835, 11224, 1079, 563, 1892, 722, 488, 5565, 7132, 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 5472, 6898, 616, 8197, 3020, 1317, 789, 666, 3132, 1384, 3080, 32674, 9050, 20023, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 587, 488, 3080, 32674, 20023, 7132, 476, 587, 488, 821, 32674, 4642, 11224, 476, 587, 488, 18314, 587, 488, 4642, 563, 1892, 722, 488, 5565, 7132, 1079, 11224, 2185, 563, 1892, 722, 488, 12866, 7132, 4557, 11224, 19939, 780, 1607, 568, 2479, 811, 4277, 982, 519, 3355, 3070, 607, 1134, 607, 922, 3312, 24909, 780, 306, 675, 2614, 267, 538, 519, 6891, 540, 2073, 606, 27644, 2626, 5012, 547, 513, 4898, 2685, 12808, 8390, 267, 1851, 1866, 780, 272, 587, 488, 476, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 1015, 815, 476, 1428, 780, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 587, 488, 272, 587, 488, 273, 587, 488, 271, 815, 476, 587, 488, 272, 587, 488, 273, 587, 488, 276, 780, 7617, 666, 2611, 3020, 676, 20367, 1439, 8393, 609, 1384, 273, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 272, 1341, 476, 272, 815, 476, 273, 563, 1892, 722, 488, 476, 273, 1341, 476, 273, 815, 476, 275, 563, 1892, 722, 488, 476, 276, 1341, 476, 32674, 273, 587, 488, 272, 587, 488, 271, 815, 476, 32674, 273, 587, 488, 272, 587, 488, 276, 780, 300, 2660, 540, 1249, 267, 950, 782, 2418, 616, 6719, 25274, 267, 1169, 1297, 540, 2242, 909, 547, 476, 1321, 263, 14386, 666, 581, 10645, 547, 960, 780, 272, 587, 488, 476, 1321, 476, 876, 540, 519, 2338, 1934, 1223, 581, 4957, 547, 513, 1808, 1871, 865, 602, 1169, 3948, 568, 1109, 25152, 563, 1892, 722, 488, 476, 587, 488, 272, 587, 488, 271, 1341, 476, 587, 488, 272, 587, 488, 271, 815, 476, 587, 488, 273, 587, 488, 271, 563, 1892, 722, 488, 476, 587, 488, 273, 587, 488, 271, 1341, 476, 587, 488, 273, 587, 488, 271, 815, 476, 1109, 275, 587, 488, 271, 563, 1892, 722, 488, 476, 587, 488, 276, 587, 488, 271, 1341, 476, 587, 488, 272, 587, 488, 271, 587, 488, 271, 815, 476, 587, 488, 1428, 587, 488, 876, 780, 1432, 513, 19046, 547, 1205, 547, 14255, 1947, 4194, 5705, 569, 1950, 7493, 13410, 602, 941, 2760, 2965, 2219, 909, 676, 4896, 269, 2368, 13410, 616, 2813, 855, 713, 835, 729, 4362, 269, 0, 20332, 2845, 1966, 692, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 6860, 6751, 454, 323, 18182, 27628, 454, 20332, 2845, 1966, 454, 296, 723, 547, 1265, 519, 1101, 12045, 540, 586, 284, 23692, 9230, 272, 2275, 657, 3287, 4297, 14370, 272, 266, 6523, 3287, 4297, 2020, 1492, 12045, 540, 519, 23692, 568, 476, 272, 266, 6523, 3287, 8358, 272, 2275, 657, 3287, 2020, 663, 519, 12045, 540, 519, 6418, 1599, 568, 1384, 9230, 272, 266, 6523, 343, 264, 630, 7562, 343, 264, 910, 630, 272, 2275, 657, 3287, 264, 11196, 7562, 343, 994, 5785, 734, 8894, 263, 272, 266, 6523, 3287, 4297, 317, 273, 692, 328, 1287, 16611, 543, 3893, 692, 263, 272, 266, 6523, 3287, 4297, 263, 7562, 343, 1341, 5609, 343, 6523, 343, 266, 7562, 343, 1606, 514, 343, 6523, 343, 994, 10900, 955, 454, 263, 272, 266, 6523, 3287, 4297, 317, 273, 2608, 476, 272, 2275, 657, 3287, 2020, 1729, 2973, 713, 909, 1384, 273, 7562, 343, 2608, 630, 272, 266, 6523, 3287, 4917, 10900, 955, 815, 586, 7055, 263, 272, 266, 6523, 3287, 4297, 317, 273, 2608, 476, 272, 2275, 657, 3287, 2020, 5475, 666, 576, 1782, 856, 8631, 1384, 273, 7562, 343, 454, 2411, 19203, 815, 586, 7055, 272, 2275, 657, 343, 317, 273, 692, 268, 476, 273, 7562, 343, 454, 2411, 19203, 815, 586, 7055, 6523, 343, 317, 273, 268, 272, 692, 3674, 713, 8806, 513, 2339, 540, 1175, 14921, 1312, 540, 891, 676, 910, 272, 286, 888, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 5881, 6751, 454, 5719, 321, 560, 320, 454, 312, 788, 1175, 9062, 1283, 543, 5377, 676, 910, 272, 269, 1411, 4312, 2944, 782, 519, 2182, 960, 256, 4270, 2944, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6734, 281, 3066, 6751, 454, 323, 18182, 27628, 454, 638, 1157, 2243, 267, 729, 972, 513, 1978, 7778, 585, 14921, 1312, 1003, 543, 14009, 676, 910, 272, 1862, 1175, 6998, 585, 2104, 4704, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 6187, 281, 4029, 6751, 454, 5719, 321, 560, 320, 454, 2791, 1810, 1405, 723, 547, 798, 602, 2063, 1900, 269, 2659, 2626, 568, 1175, 607, 2953, 269, 1924, 952, 596, 11074, 1141, 596, 1705, 267, 596, 2811, 1869, 2953, 269, 898, 781, 4990, 540, 899, 952, 596, 1767, 513, 17070, 543, 789, 1767, 536, 266, 320, 267, 1287, 789, 616, 1312, 519, 1482, 563, 1892, 8734, 476, 277, 628, 476, 1220, 280, 267, 476, 5881, 281, 736, 6751, 454, 323, 18182, 27628, 454, 2129, 21453, 1862, 9684, 596, 1360, 1454, 8627, 0, 258, 11660, 3502, 566, 692, 1012, 5675, 543, 2542, 3621, 10035, 692, 8867, 12069, 616, 595, 298, 268, 1321, 781, 2875, 9740, 2157, 563, 21995, 4841, 20083, 547, 713, 1377, 723, 513, 9864, 17117, 540, 32563, 1702, 543, 1983, 4909, 585, 21295, 960, 563, 4263, 6103, 630, 30267, 17087, 264, 4841, 20083, 547, 713, 1377, 723, 7152, 28671, 936, 4101, 1641, 2339, 267, 1519, 1641, 2339, 1702, 267, 3498, 540, 971, 1702, 547, 1483, 8996, 3871, 267, 543, 10763, 1983, 3617, 547, 1641, 2339, 563, 28723, 4841, 20083, 547, 713, 1377, 616, 4712, 585, 1570, 602, 3340, 9120, 2773, 543, 17117, 780, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 276, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1428, 692, 1012, 3848, 476, 280, 4534, 10417, 476, 280, 269, 275, 281, 11660, 3502, 566, 630, 8893, 2020, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 21844, 367, 376, 17432, 503, 32510, 479, 21844, 372, 364, 424, 486, 502, 423, 366, 499, 692, 422, 367, 376, 17432, 503, 32510, 479, 21844, 372, 364, 424, 486, 502, 423, 366, 499, 14602, 502, 10563, 480, 361, 424, 504, 358, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 630, 290, 268, 272, 2020, 2421, 700, 3041, 291, 18520, 4569, 12262, 520, 3446, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 543, 9208, 4813, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 5564, 28745, 25024, 609, 519, 23893, 12476, 281, 11660, 3502, 566, 692, 2421, 24700, 11403, 10789, 594, 12262, 520, 3446, 454, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 1548, 568, 11660, 3502, 566, 2496, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 2237, 2898, 2338, 543, 17447, 538, 3621, 10035, 282, 4019, 519, 3652, 540, 23055, 547, 6218, 3621, 10035, 7215, 543, 3313, 519, 1297, 540, 1713, 9704, 519, 1267, 814, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 28403, 1125, 519, 30424, 540, 8918, 2338, 538, 3044, 1106, 267, 1587, 1106, 543, 3621, 10035, 1210, 1360, 1507, 543, 1360, 1804, 2338, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 692, 26199, 10035, 267, 1946, 621, 568, 1031, 267, 543, 14291, 2338, 547, 543, 689, 3621, 10035, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 11660, 3502, 566, 590 ]

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

[ 824, 9136, 950, 789, 616, 13401, 3079, 540, 1523, 1302, 8204, 519, 3527, 269, 1703, 568, 1100, 6654, 2095, 540, 942, 998, 519, 11708, 7175, 835, 547, 2626, 519, 2243, 267, 1548, 4523, 1985, 27085, 769, 713, 3308, 6388, 267, 8713, 3096, 8901, 3347, 547, 1489, 519, 22464, 540, 3615, 269, 5565, 1523, 9136, 538, 519, 1482, 3113, 602, 3568, 519, 1482, 1826, 2361, 267, 855, 1100, 1201, 5166, 2361, 267, 616, 10924, 547, 2099, 1079, 1114, 8216, 9911, 540, 519, 1482, 12497, 2856, 269, 1677, 723, 1079, 1114, 6935, 9136, 267, 519, 9136, 949, 581, 3957, 630, 326, 1508, 513, 1201, 5166, 264, 538, 1931, 547, 6542, 1114, 8320, 540, 513, 2078, 269, 4039, 566, 9136, 798, 711, 13461, 593, 3448, 13307, 540, 519, 1843, 9136, 547, 4163, 1022, 2495, 269, 7843, 1602, 531, 3527, 616, 17697, 569, 6719, 676, 519, 4657, 540, 824, 9136, 538, 519, 3113, 269, 10251, 267, 713, 568, 2864, 899, 1603, 513, 1982, 1175, 676, 28408, 519, 9115, 540, 4632, 1152, 267, 6028, 519, 7084, 540, 3527, 547, 581, 22466, 269, 12344, 621, 1131, 581, 1732, 547, 2099, 942, 609, 513, 3791, 10155, 267, 1210, 519, 14839, 540, 1982, 11056, 1934, 1547, 476, 276, 269, 10439, 15789, 8950, 3292, 616, 11269, 540, 513, 5311, 540, 2621, 630, 332, 22389, 3009, 5528, 1070, 1141, 1142, 2680, 666, 581, 10924, 547, 14892, 11046, 1227, 269, 22682, 267, 3292, 723, 519, 2556, 6422, 4162, 547, 1489, 27564, 1702, 1210, 519, 13210, 540, 5752, 4654, 269, 4107, 5752, 4654, 267, 2705, 267, 616, 1257, 2861, 543, 519, 1620, 540, 513, 1982, 12346, 593, 1893, 4393, 269, 9208, 2542, 540, 513, 1982, 3081, 602, 2621, 4755, 18615, 569, 8259, 621, 568, 1016, 30062, 676, 513, 2027, 1852, 2095, 7271, 799, 2636, 513, 7914, 689, 835, 4835, 2985, 540, 3965, 547, 1776, 269, 7956, 2861, 4654, 840, 2850, 519, 5383, 6035, 676, 3308, 6041, 543, 972, 568, 1100, 1463, 6041, 540, 1852, 2095, 269, 769, 1249, 267, 1256, 952, 519, 2680, 540, 7914, 568, 3989, 267, 621, 568, 609, 513, 3616, 541, 894, 4020, 267, 711, 27564, 563, 277, 7612, 476, 275, 281, 589, 11822, 4578, 6363, 869, 20309, 4937, 3308, 4654, 476, 1039, 513, 3308, 4020, 602, 666, 581, 1031, 607, 513, 27564, 6041, 540, 1852, 2095, 269, 901, 4020, 2097, 689, 1239, 32704, 4654, 476, 543, 3096, 513, 6198, 2203, 7132, 11056, 593, 4570, 840, 268, 1718, 1431, 547, 5581, 519, 1852, 2095, 540, 606, 4082, 269, 7612, 476, 275, 2982, 513, 2241, 1239, 32704, 6516, 540, 606, 12980, 4082, 476, 274, 2608, 630, 275, 1341, 476, 276, 1040, 769, 713, 1383, 267, 1142, 5106, 568, 13401, 1152, 950, 782, 922, 11378, 616, 1459, 269, 634, 8691, 5106, 3976, 666, 711, 14892, 2394, 519, 1840, 5106, 568, 2347, 269, 14938, 9760, 540, 4238, 568, 3976, 24458, 1317, 540, 519, 4096, 1878, 1063, 4238, 269, 769, 1034, 1239, 32704, 3631, 267, 11378, 689, 824, 4238, 616, 10057, 676, 519, 1985, 5106, 267, 799, 840, 11079, 519, 11056, 540, 519, 5106, 1586, 2394, 4195, 11378, 616, 3177, 269, 769, 713, 6986, 1239, 32704, 2203, 267, 972, 568, 1100, 1982, 1533, 2094, 972, 616, 1100, 4632, 547, 11677, 741, 2418, 269, 7956, 2861, 6198, 4654, 899, 700, 7371, 610, 16066, 723, 606, 3773, 4183, 547, 2285, 4756, 6438, 6703, 269, 1717, 267, 3308, 4654, 1118, 713, 1852, 2095, 811, 10694, 1317, 789, 1831, 513, 11134, 585, 8204, 27564, 1702, 269, 901, 5413, 267, 2705, 267, 1281, 711, 2097, 1510, 2721, 19758, 269, 4014, 5276, 610, 1256, 6252, 9696, 540, 4238, 616, 1134, 6719, 2073, 1239, 32704, 3631, 723, 8373, 609, 2783, 1023, 543, 17787, 269, 1703, 568, 267, 2705, 267, 606, 4540, 3308, 6041, 1634, 607, 2095, 577, 11301, 267, 799, 946, 519, 4216, 543, 15561, 10035, 547, 5815, 1852, 2095, 538, 513, 2780, 1982, 269, 8058, 532, 2783, 1023, 543, 17787, 538, 713, 6041, 568, 1100, 1966, 267, 865, 711, 908, 513, 7914, 689, 835, 3684, 4971, 547, 1776, 666, 581, 6719, 676, 32750, 513, 1449, 269, 1403, 649, 1491, 891, 1079, 11269, 543, 10210, 519, 4839, 4221, 2856, 689, 2095, 24577, 532, 543, 3082, 621, 547, 519, 1239, 32704, 2203, 267, 649, 1205, 513, 3308, 6041, 602, 666, 6023, 1852, 2095, 1519, 2783, 1023, 543, 17787, 676, 13576, 1239, 835, 540, 1079, 2081, 267, 3079, 540, 4890, 1852, 269, 769, 4137, 476, 276, 267, 649, 1397, 875, 713, 666, 960, 585, 513, 1449, 5473, 7862, 547, 4642, 269, 769, 713, 1383, 267, 29491, 2418, 616, 5293, 607, 11378, 547, 513, 2027, 10766, 5106, 602, 10596, 922, 3403, 547, 835, 540, 1079, 533, 8083, 4470, 593, 519, 1871, 540, 519, 29491, 3403, 269, 634, 1482, 2856, 666, 581, 2944, 609, 17787, 563, 278, 7612, 476, 276, 281, 589, 4578, 6363, 869, 16448, 531, 476, 277, 269, 21992, 906, 538, 8713, 7351, 7760, 547, 8713, 1246, 689, 519, 18631, 4901, 269, 2334, 568, 267, 952, 649, 1491, 938, 6905, 595, 294, 6041, 267, 519, 3105, 8713, 267, 543, 19467, 621, 609, 519, 1239, 32704, 270, 6503, 24577, 6041, 5941, 538, 3296, 476, 276, 267, 519, 4611, 3308, 6041, 1893, 19306, 1312, 1826, 540, 1702, 538, 835, 10035, 269, 2913, 721, 960, 998, 606, 1383, 267, 3168, 1101, 693, 513, 6093, 3616, 541, 894, 6041, 540, 606, 2962, 538, 8713, 267, 543, 1287, 6313, 875, 621, 666, 581, 9168, 547, 519, 1007, 10035, 269, 1284, 8359, 519, 2653, 547, 1174, 4305, 540, 1818, 3443, 31817, 269, 3776, 2832, 786, 581, 547, 2099, 713, 538, 971, 513, 6073, 602, 782, 519, 4143, 2694, 540, 519, 4305, 616, 3989, 3616, 541, 8271, 267, 855, 519, 3527, 946, 519, 1007, 27564, 6041, 585, 11056, 540, 519, 12497, 1982, 269, 589, 2347, 2079, 1131, 4125, 1082, 11708, 609, 8665, 267, 3461, 267, 2707, 543, 10278, 267, 543, 5310, 1866, 267, 585, 1142, 3113, 855, 649, 786, 711, 979, 883, 602, 1377, 540, 1469, 585, 713, 1383, 269, 7612, 476, 277, 281, 589, 13159, 8713, 589, 2758, 454, 279, 3776, 1101, 4214, 5654, 693, 519, 1523, 540, 834, 335, 28666, 2580, 519, 2962, 540, 8380, 7912, 883, 513, 12826, 269, 901, 2962, 786, 581, 6719, 676, 519, 17076, 623, 21788, 269, 8921, 649, 786, 991, 547, 6430, 1018, 1239, 568, 4448, 538, 519, 3113, 547, 519, 2016, 2962, 543, 875, 3527, 2095, 998, 519, 3113, 269, 1403, 649, 2308, 519, 19954, 299, 307, 6935, 267, 1267, 281, 3095, 606, 957, 547, 606, 11769, 602, 568, 6383, 676, 519, 957, 2073, 607, 513, 13598, 3977, 2013, 6935, 267, 649, 1205, 519, 1267, 540, 8380, 7912, 538, 513, 12826, 568, 547, 1118, 513, 631, 21197, 307, 13543, 630, 5408, 7612, 476, 277, 1040, 2913, 721, 1631, 2736, 1079, 5798, 883, 519, 7848, 269, 901, 786, 581, 2944, 676, 1210, 513, 8520, 532, 4020, 540, 8380, 538, 835, 4212, 267, 11544, 267, 543, 8380, 538, 824, 4212, 269, 2776, 16227, 538, 8713, 267, 649, 1131, 723, 1031, 513, 942, 17076, 631, 21197, 1547, 3767, 649, 786, 946, 513, 1239, 32704, 8520, 630, 2254, 3254, 1040, 8921, 649, 786, 723, 547, 13489, 519, 4402, 585, 835, 8792, 267, 543, 952, 1932, 5394, 267, 1039, 513, 29537, 540, 1216, 269, 769, 4137, 476, 278, 267, 649, 1397, 875, 519, 3308, 6041, 1131, 1413, 952, 649, 1175, 24673, 519, 3616, 541, 894, 6041, 540, 27564, 1702, 4867, 538, 8713, 609, 938, 1007, 3308, 6041, 689, 3296, 476, 276, 269, 3767, 519, 4402, 568, 4712, 585, 5986, 269, 7612, 476, 278, 281, 634, 19835, 11059, 540, 590, 2316, 305, 532, 1403, 649, 979, 1394, 543, 556, 7721, 8533, 519, 1184, 267, 649, 666, 1491, 621, 835, 1900, 2417, 269, 634, 3113, 538, 4137, 476, 278, 6257, 1018, 568, 3238, 609, 519, 2962, 540, 28817, 519, 4402, 267, 602, 568, 519, 1852, 2095, 267, 855, 621, 1281, 711, 2161, 875, 621, 568, 547, 581, 2944, 269, 1703, 568, 1869, 519, 3616, 541, 894, 3597, 547, 519, 6041, 269, 769, 1931, 547, 2347, 519, 13326, 1063, 519, 1079, 3029, 540, 1702, 267, 649, 991, 513, 4214, 531, 7271, 585, 3527, 602, 616, 711, 3616, 541, 894, 269, 3807, 607, 513, 4214, 1759, 538, 8901, 25135, 32718, 3091, 513, 2143, 2070, 540, 513, 1523, 538, 2474, 540, 824, 3615, 267, 676, 1210, 513, 27564, 4214, 540, 513, 13796, 25135, 14653, 835, 666, 1294, 875, 2418, 666, 581, 17223, 676, 606, 2962, 269, 7612, 476, 279, 2982, 875, 513, 27564, 4214, 540, 590, 2316, 305, 666, 581, 3989, 538, 2474, 540, 6198, 11051, 543, 1239, 32704, 4238, 267, 9247, 6721, 513, 5650, 547, 5581, 711, 1152, 519, 1852, 2095, 267, 855, 519, 875, 563, 280, 7612, 476, 279, 281, 634, 17317, 1116, 11059, 540, 590, 2316, 305, 476, 278, 269, 1230, 7501, 543, 8892, 4518, 1284, 723, 3254, 513, 3308, 1893, 267, 8713, 267, 602, 3947, 513, 7059, 1702, 6041, 6388, 269, 10738, 8713, 267, 3616, 541, 894, 543, 27564, 1702, 616, 8449, 6719, 676, 10747, 1843, 543, 2962, 21437, 269, 769, 1880, 519, 1840, 540, 3308, 1893, 21437, 630, 11907, 32704, 270, 6503, 24577, 264, 547, 8713, 2636, 621, 547, 1184, 3527, 607, 1239, 32704, 12222, 23187, 519, 27564, 2470, 540, 519, 1702, 1369, 519, 6041, 269, 19672, 711, 9619, 616, 2965, 7829, 519, 2470, 540, 942, 630, 332, 558, 757, 5288, 11996, 267, 2621, 5288, 3157, 267, 3092, 4700, 543, 519, 3877, 593, 9306, 543, 1287, 14291, 547, 519, 3308, 1702, 6041, 585, 1919, 971, 607, 942, 12125, 269, 4201, 11703, 4159, 5108, 540, 12497, 11708, 568, 1271, 585, 15418, 540, 519, 11708, 543, 2792, 540, 519, 1702, 1369, 891, 11708, 1547, 1452, 786, 581, 8947, 538, 2104, 1568, 563, 1015, 22108, 476, 4864, 517, 267, 631, 269, 543, 589, 269, 5548, 326, 5964, 630, 1960, 278, 264, 594, 614, 894, 20472, 338, 538, 519, 10439, 4578, 10046, 5678, 267, 538, 18619, 540, 20959, 32600, 593, 10439, 19932, 267, 1772, 548, 540, 7167, 686, 267, 7977, 269, 476, 7261, 516, 267, 654, 10611, 1421, 590, 269, 7195, 778, 663, 541, 543, 589, 269, 774, 752, 541, 630, 1960, 275, 264, 11310, 10439, 1436, 689, 10417, 783, 23113, 267, 538, 17976, 11872, 538, 3642, 5292, 476, 279, 3374, 10417, 783, 23113, 281, 7351, 13756, 267, 32308, 269, 654, 8160, 269, 570, 788, 325, 22519, 691, 267, 808, 10422, 269, 16299, 543, 808, 12171, 269, 590, 16305, 269, 1715, 3840, 281, 306, 1440, 5424, 13305, 518, 25419, 269, 476, 16026, 267, 681, 269, 630, 2735, 271, 264, 26426, 8573, 2737, 281, 25705, 827, 6513, 267, 538, 14464, 11106, 5292, 269, 476, 1428, 3143, 269, 476, 274, 269, 476, 25760, 267, 570, 269, 630, 2735, 274, 264, 5384, 10934, 20904, 269, 15306, 269, 3115, 23171, 2160, 8950, 3163, 4972, 269, 476, 3794, 514, 1068, 267, 661, 269, 630, 1960, 271, 264, 10439, 14691, 2037, 4921, 267, 630, 273, 5292, 338, 1040, 11968, 1325, 600, 842, 657, 267, 11404, 281, 20959, 8950, 3163, 4964, 269, 476, 19134, 2917, 267, 681, 11053, 269, 630, 1960, 273, 264, 589, 31538, 23830, 585, 5384, 543, 6611, 543, 4256, 23688, 783, 4790, 571, 6493, 267, 538, 23675, 20917, 269, 7248, 269, 5292, 269, 476, 2537, 3143, 269, 476, 277, 268, 280, 267, 6032, 476, 6931, 267, 590, 269, 670, 269, 543, 570, 269, 25760, 630, 1960, 275, 264, 4112, 334, 1746, 16511, 1275, 538, 7843, 1602, 531, 25705, 267, 538, 7351, 12367, 538, 3642, 12020, 267, 32308, 269, 661, 269, 9995, 1168, 718, 543, 595, 7982, 560, 558, 269, 24545, 281, 296, 5308, 4964, 269, 476, 623, 10623, 858, 518, 267, 670, 6185, 269, 543, 681, 11053, 269, 19134, 2917, 630, 1960, 272, 264, 634, 10417, 783, 14691, 5113, 267, 8713, 281, 25705, 23830, 1210, 8641, 23113, 543, 15051, 267, 538, 18619, 540, 20959, 22544, 593, 10439, 19932, 267, 918, 12786, 267, 3567, 269, 476, 623, 10623, 858, 518, 267, 670, 6185, 269, 543, 681, 11053, 269, 19134, 2917, 630, 1960, 273, 264, 7843, 1602, 531, 267, 32085, 267, 543, 4790, 571, 842, 30047, 538, 519, 10417, 783, 14691, 5113, 267, 8713, 267, 538, 4750, 585, 21885, 543, 11933, 3749, 3642, 476, 275, 281, 273, 267, 6032, 476, 12313, 267, 645, 6993, 1421, 681, 8160, 269, 645, 2801, 14982, 543, 594, 2529, 269, 9540, 630, 1960, 274, 264, 589, 11010, 4184, 539, 12525, 16860, 540, 12229, 10439, 1436, 267, 538, 4750, 540, 10439, 19932, 543, 17270, 5292, 269, 476, 275, 3143, 269 ]

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

[ 0, 258, 1215, 547, 15681, 952, 513, 15894, 9315, 1772, 674, 820, 538, 7201, 476, 2568, 1530, 6948, 692, 24591, 692, 1012, 552, 1692, 14559, 18248, 692, 288, 2370, 8153, 1249, 568, 602, 1169, 2582, 5491, 3556, 1297, 598, 13257, 547, 1945, 1572, 519, 700, 7795, 333, 5690, 780, 2171, 666, 1406, 3494, 707, 5491, 3556, 2760, 5143, 596, 827, 700, 7795, 333, 2901, 780, 7312, 5491, 3556, 814, 513, 5728, 23829, 728, 689, 519, 476, 2412, 536, 15085, 596, 986, 22486, 909, 593, 20764, 529, 713, 3018, 780, 288, 2370, 8153, 1249, 827, 891, 24819, 4773, 540, 5068, 568, 602, 1169, 2582, 5491, 3556, 1297, 598, 13257, 547, 1945, 1572, 519, 700, 7795, 333, 5690, 780, 1432, 779, 602, 286, 26023, 267, 621, 779, 513, 4542, 596, 666, 946, 547, 2638, 1022, 5491, 3556, 1297, 269, 4746, 267, 649, 2461, 7168, 2386, 972, 779, 513, 16517, 5428, 8945, 538, 972, 12341, 780, 2080, 779, 875, 621, 4422, 269, 4635, 707, 1378, 3556, 267, 610, 519, 3556, 2630, 267, 2119, 519, 1739, 1384, 1892, 18786, 609, 519, 2034, 3562, 2000, 770, 7857, 540, 519, 5491, 3556, 1297, 630, 514, 519, 1383, 1657, 267, 513, 476, 278, 1070, 5595, 1169, 824, 7857, 593, 519, 3556, 1297, 269, 1280, 519, 3556, 1657, 267, 707, 2338, 1131, 581, 607, 5205, 281, 476, 279, 476, 276, 476, 1691, 476, 279, 476, 279, 476, 276, 476, 1321, 476, 273, 476, 1015, 476, 277, 476, 279, 476, 274, 476, 1240, 476, 272, 476, 1691, 476, 274, 563, 1892, 6875, 1022, 5595, 18251, 2338, 596, 723, 543, 1039, 1142, 7857, 547, 1118, 621, 513, 2582, 7857, 630, 7474, 1797, 476, 1691, 267, 476, 1321, 267, 476, 1015, 267, 476, 1240, 543, 476, 1691, 538, 938, 1383, 1040, 1924, 707, 2338, 616, 1631, 281, 476, 279, 476, 276, 476, 276, 476, 279, 476, 279, 476, 276, 476, 274, 476, 273, 476, 272, 476, 277, 476, 279, 476, 274, 476, 280, 476, 272, 476, 276, 476, 274, 454, 1892, 5410, 909, 782, 540, 891, 2582, 9704, 630, 279, 7132, 476, 276, 7132, 476, 276, 7132, 476, 279, 267, 3092, 4700, 780, 3674, 519, 2040, 585, 707, 3556, 16883, 676, 476, 1015, 286, 2353, 5491, 267, 32259, 543, 4871, 3556, 2338, 616, 269, 2334, 779, 1946, 621, 779, 849, 1572, 513, 968, 9556, 476, 1015, 2638, 1848, 1403, 621, 3884, 1406, 16883, 676, 476, 1015, 267, 596, 2901, 3765, 20412, 730, 630, 16187, 762, 1070, 610, 596, 11214, 3893, 707, 3946, 593, 513, 16995, 267, 899, 713, 835, 269, 630, 28989, 267, 1705, 519, 968, 7312, 15894, 9315, 892, 851, 25010, 519, 9983, 286, 2020, 3086, 979, 2995, 707, 2828, 596, 2461, 2618, 545, 21669, 21184, 543, 530, 578, 873, 609, 713, 2370, 8945, 780, 1692, 1684, 1284, 5700, 2353, 901, 286, 595, 15120, 649, 2461, 13085, 269, 4746, 912, 763, 18869, 6487, 1018, 779, 909, 7308, 344, 1289, 519, 15833, 563, 20756, 267, 1776, 16995, 5491, 3556, 1297, 269, 1548, 616, 519, 8458, 2496, 5025, 21119, 667, 9445, 518, 267, 5395, 1190, 3213, 514, 19928, 12460, 692, 20124, 5491, 281, 7917, 700, 548, 342, 11481, 333, 270, 13480, 1504, 14351, 270, 7476, 1399, 16103, 543, 26826, 23340, 270, 21900, 19212, 779, 14893, 270, 7476, 1399, 16103, 692, 23220, 6838, 1635, 2098, 1120, 6339, 692, 2162, 19964, 692, 300, 454, 3674, 18789, 538, 707, 5027, 286, 28161, 851, 540, 938, 20536, 2146, 269, 0, 258, 11822, 15053, 4577, 18289, 692, 2691, 513, 1560, 7575, 21237, 538, 513, 2786, 1899, 593, 2901, 2427, 540, 513, 1448, 267, 519, 5163, 540, 1560, 568, 1572, 519, 2241, 23191, 5163, 780, 13295, 267, 519, 2241, 23191, 5163, 568, 513, 2027, 2013, 540, 519, 13350, 5163, 267, 15069, 267, 513, 2241, 23191, 5163, 568, 9090, 513, 13350, 5163, 267, 855, 782, 519, 13350, 20517, 616, 711, 519, 2241, 23191, 20517, 780, 2690, 1383, 267, 519, 5163, 540, 3618, 1472, 519, 3141, 568, 513, 13350, 5163, 267, 855, 621, 568, 711, 519, 2241, 23191, 5163, 269, 2201, 519, 824, 1688, 267, 519, 5163, 540, 513, 2241, 28764, 568, 2241, 23191, 5163, 607, 1134, 607, 519, 13350, 780, 1103, 513, 2241, 23191, 5163, 267, 519, 1560, 7575, 21237, 538, 513, 2786, 1899, 593, 2901, 2427, 540, 922, 606, 2990, 971, 602, 922, 10231, 568, 14354, 547, 519, 12761, 540, 519, 9325, 543, 519, 4287, 540, 10231, 568, 2141, 2509, 519, 1611, 2990, 269, 769, 824, 1913, 267, 519, 5163, 540, 513, 1560, 896, 513, 19620, 3196, 568, 513, 2241, 23191, 5163, 780, 27916, 1681, 10414, 692, 763, 3196, 267, 799, 568, 2047, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 568, 9859, 2509, 519, 1611, 2990, 568, 1572, 519, 19620, 3196, 1775, 4318, 1421, 519, 19620, 3196, 11148, 547, 3142, 519, 1560, 1394, 547, 922, 1611, 2990, 780, 272, 269, 273, 269, 272, 17148, 610, 18567, 540, 11822, 15053, 4577, 18289, 692, 16729, 616, 519, 2175, 630, 528, 4162, 264, 540, 2241, 23191, 5163, 1384, 9217, 264, 7673, 3396, 1109, 634, 5163, 1590, 581, 538, 2786, 1899, 593, 2901, 2427, 540, 513, 17386, 1448, 630, 11743, 2990, 6393, 23870, 264, 24748, 634, 3001, 1560, 1590, 1780, 689, 922, 1611, 2990, 14578, 1310, 513, 17386, 942, 1775, 4318, 1421, 5163, 1590, 581, 13350, 780, 31702, 264, 7673, 1109, 634, 10231, 540, 519, 3001, 1560, 1590, 2141, 581, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 519, 4287, 540, 10231, 1590, 2141, 581, 2509, 519, 1611, 2990, 267, 1775, 4318, 1421, 692, 10907, 5120, 566, 14668, 12761, 543, 538, 519, 4287, 6587, 547, 12761, 780, 2252, 693, 1022, 8216, 267, 519, 12761, 540, 1560, 689, 922, 1611, 2990, 568, 1535, 267, 519, 10231, 540, 519, 1560, 568, 692, 325, 10382, 910, 311, 692, 3719, 676, 13053, 779, 1876, 540, 5163, 267, 3196, 815, 2527, 1535, 10231, 692, 2690, 576, 14668, 1107, 1535, 692, 13295, 267, 519, 3196, 9117, 593, 519, 1560, 1590, 581, 14354, 547, 519, 12761, 540, 519, 1560, 689, 922, 1611, 2990, 543, 922, 4287, 1590, 581, 2509, 519, 1611, 2990, 630, 328, 4318, 1421, 519, 3196, 1590, 581, 519, 19620, 3196, 6393, 288, 1062, 267, 4171, 5163, 568, 2241, 23191, 267, 568, 1634, 607, 519, 2241, 23191, 14251, 1807, 780, 2690, 1383, 267, 5163, 540, 2241, 28764, 585, 1507, 17931, 267, 5163, 540, 519, 7623, 28764, 267, 5163, 540, 519, 2527, 7923, 693, 519, 1863, 1439, 540, 513, 5614, 14461, 569, 6378, 693, 922, 824, 1439, 267, 5163, 540, 512, 832, 1308, 28764, 3092, 269, 0, 288, 2489, 1935, 547, 6323, 2042, 692, 288, 717, 2894, 2207, 3201, 6673, 24165, 21815, 9215, 11550, 25770, 5960, 692, 296, 1265, 1169, 6323, 1966, 606, 6946, 11015, 543, 723, 1187, 3257, 873, 269, 1411, 1932, 1058, 2119, 547, 1265, 519, 7954, 3297, 1142, 1966, 543, 14458, 1169, 1966, 547, 922, 5072, 269, 1403, 596, 666, 2119, 707, 1655, 547, 2965, 723, 1187, 630, 1729, 519, 1655, 540, 707, 2702, 264, 543, 723, 513, 2318, 10182, 609, 6323, 267, 1256, 4101, 2042, 1058, 711, 10460, 607, 32462, 960, 855, 2241, 7954, 13410, 799, 6961, 17598, 2899, 12193, 269, 1403, 596, 1246, 891, 3268, 267, 596, 786, 581, 2111, 547, 4194, 2042, 7561, 630, 2865, 540, 519, 942, 267, 2042, 616, 711, 2352, 2016, 2614, 942, 267, 519, 1483, 7411, 6013, 538, 3257, 782, 519, 2042, 538, 519, 2547, 2179, 540, 942, 6393, 5575, 3268, 692, 3725, 958, 1174, 1018, 519, 2243, 568, 6998, 596, 780, 272, 4700, 4855, 856, 1018, 2035, 616, 3238, 2496, 268, 2467, 616, 2356, 1152, 476, 272, 610, 476, 273, 2489, 2035, 602, 621, 1223, 581, 827, 865, 713, 1900, 1058, 581, 2653, 2439, 273, 4700, 1548, 4834, 616, 693, 707, 12871, 2496, 5336, 739, 540, 519, 942, 267, 891, 666, 581, 1336, 593, 707, 4542, 6656, 269, 6258, 707, 4542, 6656, 630, 328, 4318, 269, 1018, 4834, 25758, 593, 972, 267, 1018, 596, 1058, 27655, 1317, 621, 568, 10691, 972, 269, 2422, 519, 4542, 6656, 585, 519, 3803, 2429, 519, 2165, 865, 596, 798, 711, 26545, 1076, 1282, 11400, 547, 1265, 1919, 2020, 274, 4700, 1548, 1344, 616, 596, 2016, 2496, 4149, 636, 3405, 1125, 782, 519, 1344, 2016, 538, 513, 1966, 547, 4632, 543, 2328, 621, 856, 896, 519, 2243, 630, 328, 4318, 269, 6991, 3355, 630, 12858, 264, 815, 476, 1220, 271, 7397, 829, 2034, 267, 18232, 512, 815, 476, 276, 7643, 1040, 901, 1259, 596, 798, 711, 723, 547, 11179, 3277, 547, 519, 2243, 17986, 509, 713, 786, 4688, 596, 942, 692, 275, 4700, 1548, 1344, 616, 596, 3843, 547, 4194, 585, 2496, 268, 2252, 596, 666, 1175, 12990, 2418, 596, 616, 2016, 883, 606, 3830, 596, 15422, 610, 1336, 538, 707, 4542, 6656, 267, 1390, 269, 19227, 267, 1294, 2630, 780, 2252, 596, 3112, 4194, 1175, 689, 519, 1344, 2016, 267, 28433, 513, 4640, 547, 661, 13697, 2975, 296, 7728, 14877, 4194, 585, 519, 1344, 780, 272, 4700, 1684, 596, 723, 6190, 1344, 547, 3274, 4194, 585, 519, 1966, 610, 1590, 596, 2736, 909, 519, 2243, 883, 5094, 2694, 630, 21865, 267, 713, 568, 2944, 585, 596, 547, 1832, 596, 593, 519, 1318, 3950, 267, 855, 824, 2053, 267, 596, 991, 547, 4137, 713, 856, 3054, 2496, 273, 4700, 1684, 596, 723, 1932, 1454, 1344, 543, 1058, 596, 11716, 1945, 3063, 2016, 1317, 621, 2306, 1919, 1932, 7294, 2496, 274, 4700, 1403, 596, 27114, 27237, 4137, 856, 513, 2243, 1369, 476, 276, 3764, 267, 700, 12788, 12717, 8668, 267, 1205, 1394, 547, 621, 2663, 0, 1892, 1948, 3493, 3285, 908, 7221, 543, 595, 28566, 692, 288, 3854, 2744, 610, 3854, 2530, 689, 519, 12871, 540, 513, 1244, 3285, 908, 10697, 786, 1152, 8451, 547, 519, 6708, 602, 596, 723, 1031, 519, 10697, 585, 513, 1875, 2389, 1314, 762, 3483, 630, 1721, 1383, 267, 1031, 585, 4357, 5301, 6393, 2791, 5173, 513, 3854, 2744, 610, 3854, 2530, 689, 513, 1244, 3285, 908, 10697, 1031, 585, 513, 1875, 2389, 1314, 762, 3483, 1210, 519, 2035, 540, 1942, 543, 26694, 1871, 896, 519, 7833, 3854, 1450, 1734, 1062, 267, 711, 519, 2035, 540, 1942, 3490, 543, 3854, 23131, 896, 519, 3854, 12374, 3454, 630, 290, 28566, 264, 3652, 780, 2252, 513, 13326, 16369, 2680, 4386, 585, 513, 1244, 3285, 908, 10697, 596, 723, 693, 930, 942, 1031, 585, 513, 1875, 2389, 1314, 762, 3483, 267, 513, 595, 28566, 2680, 4523, 269, 634, 1034, 1455, 13326, 16369, 2680, 585, 513, 1244, 3285, 908, 10697, 4386, 950, 596, 3247, 8066, 621, 630, 1721, 1383, 267, 596, 6133, 267, 6336, 610, 6861, 621, 264, 610, 3247, 1210, 621, 780, 1012, 29626, 513, 3854, 2744, 610, 3854, 2530, 692, 2791, 1118, 513, 3854, 2744, 952, 519, 26694, 1871, 540, 707, 1244, 3285, 908, 10697, 568, 3152, 982, 922, 1942, 269, 1411, 1118, 513, 3854, 2530, 952, 519, 9258, 568, 519, 2013, 267, 602, 568, 267, 519, 10697, 779, 1942, 568, 811, 982, 922, 26694, 1871, 780, 2791, 946, 1114, 12596, 547, 5173, 513, 3854, 2744, 610, 3854, 2530, 4470, 593, 2436, 519, 10697, 568, 513, 1384, 2162, 3493, 3285, 908, 10697, 711, 538, 513, 1970, 17032, 7535, 692, 2252, 707, 1244, 3285, 908, 10697, 568, 711, 513, 7535, 539, 10697, 267, 596, 5173, 513, 3854, 2744, 607, 5205, 1384, 2791, 5173, 519, 3854, 2530, 607, 5205, 1384, 1103, 891, 12596, 1384, 1892, 1412, 8999, 540, 20214, 262, 568, 519, 2040, 540, 519, 20214, 538, 707, 17429, 2388, 585, 519, 10697, 781, 7771, 538, 1871, 602, 568, 30289, 547, 707, 946, 540, 519, 10697, 267, 610, 596, 2348, 621, 8704, 4712, 585, 946, 267, 585, 513, 1875, 2389, 1314, 762, 3483, 454, 1892, 1412, 20135, 7771, 262, 568, 519, 7771, 538, 1871, 540, 519, 1244, 3285, 908, 10697, 2094, 596, 3323, 547, 3180, 621, 780, 7078, 281, 13317, 2744, 593, 1244, 3285, 908, 10697, 692, 299, 14019, 11751, 513, 14903, 538, 4864, 476, 1001, 279, 585, 8096, 276, 267, 1822, 543, 4421, 621, 538, 4873, 476, 1708, 271, 585, 8096, 278, 267, 1822, 269, 1261, 1031, 519, 14903, 476, 1015, 260, 540, 519, 942, 585, 4357, 5301, 269, 634, 7771, 538, 1871, 540, 519, 14903, 909, 547, 519, 4266, 540, 9042, 729, 8096, 273, 267, 1822, 780, 763, 2040, 540, 1010, 20214, 11341, 547, 1010, 4357, 946, 568, 8096, 1220, 630, 1015, 260, 540, 8096, 273, 267, 1822, 1040, 32632, 21410, 1010, 3854, 2744, 689, 595, 28566, 2680, 1109 ]

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

[ 5211, 267, 4358, 538, 519, 10239, 547, 938, 22583, 2282, 30486, 543, 9676, 693, 4432, 7167, 11939, 1763, 969, 7546, 827, 476, 1789, 5195, 22583, 540, 25708, 5842, 17630, 267, 568, 513, 1713, 1216, 4199, 585, 519, 2749, 267, 855, 513, 14758, 8153, 849, 1271, 2707, 267, 29158, 6229, 15880, 267, 6238, 538, 519, 20698, 10044, 15142, 20991, 5045, 563, 290, 9051, 6229, 15880, 1101, 28368, 883, 2859, 3534, 1763, 969, 7546, 267, 827, 476, 3393, 5195, 7532, 4882, 11322, 540, 5842, 17630, 2282, 519, 2146, 540, 8805, 334, 269, 634, 13111, 849, 19306, 1216, 689, 2859, 3534, 15880, 269, 5221, 519, 13111, 568, 1360, 2647, 543, 13719, 267, 9271, 689, 21381, 616, 9645, 865, 950, 621, 779, 15164, 519, 4975, 27422, 547, 5305, 1034, 540, 519, 1216, 19654, 547, 4446, 21884, 1763, 969, 7546, 799, 568, 7522, 518, 543, 1454, 4514, 267, 1141, 21381, 568, 1447, 540, 513, 1966, 269, 4446, 21884, 1763, 969, 7546, 568, 17479, 1175, 2630, 519, 1476, 26475, 540, 29158, 6229, 15880, 543, 25882, 9503, 15880, 267, 827, 476, 1015, 5195, 7178, 540, 2859, 3534, 563, 7628, 1360, 6632, 12405, 952, 4446, 21884, 568, 538, 8594, 540, 14700, 519, 4430, 1216, 568, 5950, 1524, 519, 2481, 779, 25047, 3613, 324, 5529, 21383, 3118, 1394, 883, 29158, 6229, 15880, 269, 6270, 2621, 616, 4686, 282, 7363, 782, 519, 1216, 568, 11603, 585, 5842, 17630, 269, 1809, 29158, 6229, 15880, 267, 607, 851, 540, 519, 570, 6359, 340, 3570, 27347, 1117, 267, 568, 513, 29815, 776, 547, 519, 570, 6359, 340, 3570, 5211, 5045, 540, 519, 11204, 8473, 267, 865, 875, 1281, 519, 1216, 538, 4446, 21884, 1439, 909, 538, 5842, 17630, 3079, 888, 12585, 281, 519, 667, 592, 345, 3120, 1230, 706, 527, 563, 763, 667, 592, 345, 3120, 1230, 706, 527, 568, 513, 476, 1724, 269, 4343, 13304, 17489, 6864, 9254, 551, 3710, 547, 31818, 1216, 689, 29158, 6229, 15880, 547, 5842, 17630, 269, 20323, 16922, 540, 13897, 9055, 267, 2699, 6229, 1166, 6979, 267, 543, 5176, 1079, 5195, 540, 25310, 998, 27726, 8513, 630, 718, 25653, 676, 1688, 1070, 519, 31026, 527, 729, 9112, 538, 519, 1296, 476, 5002, 278, 268, 5002, 280, 676, 519, 8828, 4993, 13738, 4826, 7577, 896, 513, 1544, 25282, 676, 3627, 667, 269, 1975, 516, 1188, 1564, 563, 763, 1230, 706, 527, 7283, 10512, 998, 519, 4571, 268, 2735, 271, 338, 676, 799, 942, 519, 11308, 1166, 6979, 941, 865, 14016, 730, 543, 5826, 3790, 865, 1164, 602, 621, 729, 3144, 856, 540, 3028, 563, 763, 1230, 706, 527, 729, 22058, 730, 538, 519, 4571, 268, 1960, 271, 338, 543, 519, 11308, 1166, 6979, 941, 8719, 609, 1007, 5374, 27983, 593, 6405, 543, 5374, 7028, 269, 5221, 621, 729, 7543, 585, 2666, 6472, 543, 3937, 547, 3914, 930, 6753, 267, 21484, 641, 1562, 941, 2877, 547, 3761, 6405, 543, 547, 1747, 513, 5374, 959, 1380, 8115, 543, 1804, 10612, 6810, 563, 763, 667, 592, 345, 3120, 1230, 706, 527, 11498, 547, 667, 592, 345, 3120, 15880, 799, 26082, 519, 17305, 599, 5211, 799, 8928, 7178, 2394, 621, 10301, 922, 10278, 693, 13722, 17305, 599, 1763, 969, 7546, 538, 932, 3121, 966, 16695, 267, 1141, 513, 1216, 2126, 2030, 4384, 919, 519, 3892, 540, 1216, 547, 5842, 17630, 5561, 563, 1103, 476, 1220, 275, 268, 1220, 276, 267, 20359, 689, 5230, 22856, 16094, 8697, 519, 1230, 706, 527, 543, 621, 1586, 729, 856, 540, 3028, 269, 6969, 18203, 1223, 581, 5340, 519, 20831, 9605, 538, 476, 1220, 278, 3361, 2417, 3441, 543, 621, 729, 930, 942, 1354, 3573, 543, 7199, 18203, 1223, 581, 5645, 856, 563, 28275, 538, 476, 1220, 280, 513, 1804, 3296, 540, 519, 1230, 706, 527, 779, 1930, 8756, 729, 28459, 1540, 609, 8470, 539, 6405, 6227, 5116, 676, 31881, 832, 5652, 29357, 269, 13966, 609, 824, 18175, 10232, 519, 1230, 706, 527, 1586, 2968, 10512, 538, 5130, 476, 1001, 272, 269, 4014, 621, 814, 513, 4390, 547, 1847, 909, 547, 476, 2412, 2929, 17529, 829, 1554, 267, 4129, 687, 616, 26742, 19631, 543, 519, 2179, 9775, 14320, 4470, 593, 875, 1454, 25318, 1216, 568, 2139, 543, 2436, 621, 779, 2877, 563, 265, 3509, 7064, 547, 645, 1370, 661, 1749, 517, 540, 519, 5842, 17630, 5398, 7780, 1988, 4972, 585, 25786, 1250, 1569, 547, 2127, 602, 616, 6806, 547, 519, 1857, 563, 272, 269, 23488, 1635, 4477, 545, 16239, 269, 6406, 7177, 630, 13563, 5980, 540, 6406, 19296, 1070, 4320, 476, 5780, 267, 1100, 269, 476, 272, 630, 20464, 476, 1960, 277, 1916, 273, 269, 17183, 4826, 18242, 540, 519, 7414, 32437, 540, 8828, 4993, 1315, 670, 6185, 269, 5062, 10908, 1662, 534, 269, 6115, 281, 2475, 13382, 302, 267, 476, 4572, 272, 563, 274, 269, 674, 578, 2401, 267, 700, 269, 595, 269, 476, 4198, 274, 269, 589, 3778, 540, 667, 4461, 543, 4826, 18242, 540, 5375, 5842, 17630, 6019, 269, 1133, 643, 269, 540, 4993, 269, 9049, 19080, 269, 476, 22001, 653, 269, 9768, 476, 274, 476, 15836, 277, 476, 271, 5392, 3393, 476, 9262, 277, 275, 269 ]

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

[ 8141, 1194, 17321, 982, 519, 5757, 896, 519, 3141, 780, 14367, 3993, 20493, 267, 2141, 4712, 547, 2490, 4948, 13300, 883, 1565, 3255, 269, 834, 11039, 15207, 2437, 1352, 3459, 267, 834, 527, 814, 1945, 547, 798, 609, 1945, 1572, 26255, 3599, 269, 1411, 1294, 267, 3615, 666, 10581, 1317, 540, 513, 3196, 3160, 547, 519, 2597, 540, 519, 1216, 1373, 19774, 3010, 2026, 789, 4797, 741, 588, 2651, 2509, 595, 582, 1729, 267, 15207, 7948, 1405, 948, 855, 5469, 875, 6126, 3025, 8604, 1472, 1864, 269, 700, 2795, 532, 3885, 267, 2828, 20414, 909, 936, 2848, 5446, 11680, 540, 7401, 267, 18798, 4687, 521, 935, 525, 910, 782, 1666, 6362, 538, 1142, 824, 781, 2754, 1996, 519, 32668, 20457, 540, 519, 5757, 780, 4263, 2063, 267, 789, 6603, 595, 582, 1729, 269, 4706, 1164, 6075, 16863, 941, 1134, 964, 5703, 269, 3245, 2770, 27918, 3443, 31817, 547, 5260, 712, 344, 2407, 2296, 2736, 325, 6814, 267, 1169, 8670, 6743, 1932, 1434, 547, 3548, 256, 1809, 620, 553, 267, 950, 646, 4718, 519, 10624, 543, 922, 5777, 267, 4057, 15207, 5433, 2864, 771, 24711, 2989, 269, 2859, 982, 13977, 6550, 585, 14254, 286, 1261, 5828, 547, 1010, 3993, 267, 29359, 31960, 2066, 1010, 6263, 2934, 780, 9617, 1287, 267, 606, 11361, 14799, 9361, 7404, 9575, 8289, 540, 15207, 781, 30160, 6420, 523, 4082, 269, 2701, 10709, 539, 538, 543, 26866, 1229, 24963, 267, 834, 15919, 15210, 267, 1919, 602, 1942, 811, 5749, 1405, 8209, 1732, 269, 10025, 3884, 1405, 6027, 676, 2724, 4805, 269, 3371, 267, 1577, 803, 1397, 596, 1701, 2060, 602, 267, 1352, 11751, 15207, 513, 3636, 5186, 1170, 656, 799, 13820, 539, 31676, 5103, 1373, 1447, 7199, 780, 4517, 3976, 267, 938, 9661, 7475, 711, 609, 513, 6571, 267, 855, 513, 3407, 3992, 3079, 269, 5020, 267, 1454, 899, 2257, 267, 1419, 6799, 721, 13410, 7996, 547, 581, 12193, 269, 1656, 3006, 267, 1018, 4667, 14922, 5944, 1950, 1522, 3180, 6397, 16134, 269, 3807, 3314, 267, 2436, 596, 2811, 3695, 519, 13655, 540, 2470, 610, 10188, 519, 2978, 31307, 710, 1158, 540, 15296, 267, 2760, 3247, 6998, 2055, 267, 3251, 1439, 8393, 8049, 267, 543, 10027, 880, 1169, 4090, 6170, 609, 6068, 3283, 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, 303, 28558, 513, 2143, 4845, 827, 513, 13962, 1210, 519, 1739, 1913, 281, 2012, 815, 595, 582, 1729, 267, 3548, 13911, 815, 6995, 6300, 267, 1426, 815, 2296, 267, 3902, 305, 1052, 815, 811, 982, 11278, 1789, 267, 6075, 12773, 815, 1164, 267, 1858, 815, 8933, 728, 267, 2282, 815, 634, 24144, 1488, 916, 454, 306, 27542, 912, 290, 582, 1729, 267, 513, 3810, 268, 3603, 2296, 6995, 6300, 13883, 676, 519, 8933, 728, 267, 3091, 513, 18226, 1995, 609, 5777, 23630, 11278, 1789, 543, 568, 10375, 569, 4092, 2282, 634, 24144, 1488, 916, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 538, 513, 23749, 8468, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 729, 23362, 5275, 10372, 585, 8949, 10448, 2861, 8286, 602, 5447, 609, 513, 2973, 4189, 2732, 269, 1306, 606, 23153, 27697, 609, 513, 15116, 1719, 538, 2870, 2030, 14617, 6980, 267, 789, 941, 5462, 547, 1039, 3099, 543, 10761, 547, 741, 11477, 27132, 780, 3080, 1880, 8670, 9575, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 781, 3750, 910, 834, 290, 4954, 31884, 17054, 19676, 1701, 11109, 2760, 13986, 621, 1354, 267, 789, 24389, 593, 513, 5692, 547, 1711, 519, 3501, 11600, 267, 11018, 4195, 5820, 689, 2199, 6990, 543, 8600, 873, 23939, 269, 2060, 1390, 15131, 267, 789, 4553, 782, 5528, 5402, 543, 19179, 1243, 519, 3803, 1267, 780, 4913, 267, 12556, 1185, 824, 4566, 269, 769, 513, 9670, 2490, 540, 2621, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 19451, 569, 12349, 4936, 525, 1723, 7935, 19233, 3079, 540, 28471, 31884, 256, 901, 8966, 3132, 6221, 12286, 11495, 5762, 531, 3270, 855, 2451, 938, 5869, 7138, 1194, 827, 875, 621, 1522, 1860, 741, 5986, 7045, 269, 1133, 342, 3739, 547, 1577, 713, 32657, 777, 15658, 873, 267, 789, 4956, 547, 3082, 519, 11600, 1210, 713, 694, 16781, 760, 527, 748, 6602, 780, 2026, 519, 4936, 525, 1723, 7935, 19233, 521, 11170, 1194, 538, 519, 3443, 7258, 10477, 5388, 267, 12906, 553, 4904, 519, 10051, 267, 751, 2084, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 609, 24736, 269, 1879, 519, 4090, 3357, 547, 6492, 741, 5137, 267, 789, 6806, 741, 4064, 267, 3576, 513, 11116, 267, 543, 23121, 741, 10508, 1765, 11398, 2933, 679, 600, 1819, 676, 922, 2189, 2428, 1399, 8137, 543, 13035, 9403, 269, 898, 5828, 856, 1256, 1732, 982, 4397, 2439, 21615, 1245, 2989, 676, 713, 1995, 267, 579, 270, 309, 1122, 326, 22044, 2120, 7597, 8120, 547, 519, 1482, 23749, 8142, 267, 4687, 741, 796, 656, 4602, 730, 17636, 609, 8284, 3755, 269, 4256, 2022, 17275, 7279, 1851, 1866, 945, 3459, 19234, 609, 4936, 525, 1723, 7935, 19233, 1932, 267, 3056, 547, 811, 8906, 543, 4296, 1369, 519, 2146, 780, 7437, 713, 6126, 8009, 267, 579, 270, 309, 1122, 326, 22044, 2120, 277, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 930, 8949, 10448, 2861, 8286, 602, 594, 666, 2972, 1247, 1739, 513, 2973, 4189, 2732, 888, 272, 269, 10162, 16556, 17164, 762, 2405, 2917, 281, 28777, 17436, 267, 22282, 267, 28471, 31884, 267, 543, 1490, 639, 17632, 28667, 5671, 3960, 1194, 609, 14462, 3282, 543, 19023, 609, 13342, 267, 6070, 267, 543, 14723, 780, 273, 269, 853, 4428, 539, 13852, 3212, 13827, 281, 11350, 18717, 28077, 609, 844, 29184, 267, 3109, 10365, 267, 8970, 267, 543, 546, 5367, 14274, 780, 274, 269, 2098, 1075, 577, 7236, 715, 22751, 281, 18700, 1242, 1990, 1075, 577, 7236, 30653, 547, 5529, 609, 2261, 514, 4673, 14036, 543, 1989, 730, 533, 1301, 525, 534, 10381, 780, 275, 269, 918, 1446, 543, 2372, 29184, 6428, 611, 281, 25989, 3762, 2527, 3042, 609, 14462, 3282, 543, 11993, 10433, 1287, 547, 5529, 609, 11273, 844, 29184, 267, 22269, 14274, 267, 25636, 267, 543, 513, 28777, 13342, 642, 2088, 580, 4958, 974, 780, 276, 269, 6182, 2683, 1306, 32651, 281, 607, 32651, 884, 1513, 1989, 2683, 609, 14462, 3282, 267, 6070, 267, 543, 14723, 780, 277, 269, 595, 4954, 31884, 17054, 19676, 281, 28471, 31884, 7573, 13489, 1922, 3072, 609, 17436, 267, 17112, 267, 3039, 19637, 267, 543, 5798, 780, 278, 269, 21690, 8000, 6737, 590, 19281, 281, 6653, 15837, 267, 22323, 267, 13342, 267, 543, 10448, 26185, 20762, 2394, 5347, 543, 547, 5529, 609, 19967, 18506, 543, 669, 1161, 780, 279, 269, 12098, 27932, 8738, 3455, 281, 19471, 17724, 773, 3276, 7970, 1500, 530, 328, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269 ]

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

[ 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, 8080, 547, 519, 4241, 1158, 540, 30059, 700, 12083, 16424, 256, 901, 5969, 12967, 2029, 2636, 6705, 547, 1491, 1416, 540, 741, 2831, 899, 2760, 1354, 269, 5994, 1373, 2111, 547, 1832, 3950, 540, 1142, 10800, 781, 1072, 267, 8788, 267, 543, 4189, 6208, 1210, 8596, 543, 2780, 3292, 1107, 602, 781, 4010, 1018, 8856, 13184, 5464, 1281, 256, 2913, 781, 4685, 883, 713, 5863, 2361, 543, 3605, 875, 2029, 2337, 721, 1174, 938, 3484, 2831, 1732, 780, 5575, 267, 1577, 781, 4952, 596, 616, 513, 16027, 2921, 1416, 540, 16933, 593, 707, 1920, 781, 2244, 269, 1411, 1616, 782, 707, 16933, 547, 581, 2635, 267, 6126, 267, 543, 1134, 1922, 539, 865, 789, 666, 3132, 8949, 5144, 543, 5779, 585, 1004, 547, 2972, 269, 1809, 10992, 909, 593, 1169, 2582, 10800, 14350, 1131, 1491, 1932, 1454, 942, 256, 2334, 781, 1141, 8856, 13184, 5464, 2501, 538, 13561, 780, 293, 1301, 619, 946, 2027, 3457, 1572, 968, 18875, 1963, 892, 602, 1413, 899, 2458, 1513, 610, 16776, 269, 1358, 8936, 891, 5957, 1963, 547, 519, 16933, 262, 683, 4242, 267, 3850, 873, 547, 2445, 1271, 1344, 827, 1142, 3662, 269, 1452, 5100, 19269, 6895, 1919, 899, 1384, 265, 1215, 1454, 513, 10800, 22655, 543, 10425, 454, 265, 1403, 1352, 7575, 1472, 7363, 610, 4667, 27823, 454, 265, 6787, 1200, 1560, 2837, 568, 1175, 1318, 610, 952, 1945, 1522, 581, 4636, 692, 5472, 713, 1239, 4991, 2366, 5911, 8393, 547, 5904, 543, 16389, 267, 4758, 6705, 3407, 4030, 827, 741, 16933, 262, 2729, 269, 2060, 971, 5730, 1344, 267, 789, 666, 5544, 2042, 2038, 543, 2327, 602, 1169, 10800, 4991, 519, 3007, 1352, 2115, 780, 3086, 267, 1946, 568, 4683, 8105, 1256, 3238, 1934, 286, 4270, 267, 1589, 827, 4872, 4742, 22928, 4025, 609, 811, 2230, 6131, 547, 3395, 1426, 12725, 269, 1306, 649, 1628, 11396, 1369, 2749, 7182, 267, 9870, 2831, 1223, 849, 1831, 851, 540, 602, 3830, 269, 1635, 1210, 8856, 13184, 5464, 267, 4683, 6705, 786, 723, 606, 4443, 942, 5883, 4130, 2338, 540, 2831, 1247, 1869, 4509, 1164, 4441, 540, 10304, 543, 7607, 780, 2414, 2040, 909, 267, 8856, 13184, 5464, 3096, 3579, 4066, 899, 8596, 543, 5957, 1963, 547, 948, 6705, 1832, 3950, 540, 741, 2831, 262, 8171, 269, 1635, 1620, 1367, 10800, 5615, 267, 6705, 666, 1683, 10531, 1416, 267, 3056, 547, 18668, 16933, 543, 13820, 1512, 2472, 269, 1656, 950, 4683, 8105, 3587, 7839, 267, 891, 2645, 786, 1404, 513, 2629, 1909, 538, 1818, 2386, 938, 2749, 1814, 1562, 3251, 6899, 543, 11327, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 308, 2607, 340, 599, 267, 4171, 4013, 2012, 568, 3115, 14243, 321, 997, 320, 31970, 1642, 772, 2607, 340, 599, 2676, 529, 513, 19988, 2197, 538, 3162, 3013, 267, 4092, 538, 519, 9456, 851, 454, 1993, 519, 8828, 595, 821, 269, 4706, 3854, 543, 1034, 20651, 2749, 568, 454, 12507, 974, 341, 8721, 269, 898, 10665, 547, 519, 22583, 609, 8478, 1765, 8063, 540, 681, 6403, 334, 454, 294, 8681, 324, 1642, 5080, 1765, 267, 547, 519, 7178, 543, 22236, 609, 18335, 1765, 2889, 9109, 806, 454, 1993, 4856, 686, 550, 525, 267, 9980, 516, 681, 6403, 657, 543, 11370, 523, 657, 589, 2231, 267, 543, 519, 32534, 4975, 454, 1993, 11370, 523, 657, 589, 2231, 630, 29323, 730, 676, 519, 681, 6403, 334, 632, 3288, 1773, 1092, 28931, 663, 814, 5032, 338, 538, 454, 1492, 9533, 7909, 547, 519, 5045, 269, 898, 6227, 476, 12293, 267, 21497, 5998, 11054, 543, 568, 519, 454, 16149, 10545, 2197, 538, 3162, 3013, 267, 1310, 5080, 514, 877, 269, 4340, 454, 1729, 1239, 689, 519, 2063, 5442, 292, 14829, 538, 476, 1001, 272, 267, 519, 2551, 540, 772, 2607, 340, 599, 454, 529, 476, 274, 267, 30525, 267, 27183, 11317, 267, 11093, 621, 538, 20870, 2990, 1851, 519, 454, 13512, 10679, 3162, 1977, 2477, 563, 2005, 568, 513, 16232, 2197, 1016, 323, 22866, 883, 562, 31106, 13623, 543, 476, 10219, 25772, 269, 634, 3854, 543, 1034, 20651, 2749, 540, 519, 2197, 568, 22757, 341, 8721, 267, 609, 476, 272, 269, 274, 2929, 11317, 267, 4171, 23195, 1858, 568, 1472, 1079, 2929, 267, 627, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7093, 17800, 700, 12083, 16424, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 12124, 28524, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 834, 763, 28202, 3739, 2622, 540, 17224, 18209, 7177, 281, 8490, 589, 7878, 543, 6611, 8154, 15323, 5970, 596, 2479, 6743, 909, 693, 519, 6607, 543, 14478, 14742, 865, 2130, 1164, 1657, 286, 2107, 6148, 596, 4312, 26927, 3139, 827, 3695, 2230, 543, 9683, 824, 10785, 899, 20691, 798, 256, 4270, 267, 782, 1346, 5863, 6191, 602, 8038, 998, 519, 2011, 543, 883, 9018, 2230, 941, 2966, 543, 3710, 676, 13085, 8030, 1634, 607, 23825, 8030, 269, 4653, 267, 649, 786, 7832, 593, 606, 3078, 3460, 547, 1451, 811, 827, 1018, 789, 798, 543, 875, 621, 782, 1568, 2439, 1432, 568, 17224, 18209, 7177, 888, 28598, 5331, 8888, 8484, 267, 28862, 267, 14361, 267, 15408, 267, 543, 1256, 15177, 1949, 1107, 713, 568, 1018, 23825, 4702, 568, 782, 827, 256, 898, 779, 5258, 883, 1079, 1292, 8371, 910, 7098, 19392, 630, 13231, 3539, 9362, 538, 5163, 264, 543, 27668, 630, 14708, 1919, 1847, 1040, 8625, 267, 891, 4610, 948, 1711, 6909, 6472, 602, 2951, 998, 519, 5790, 543, 3564, 780, 19465, 4643, 525, 543, 9412, 1115, 454, 10900, 13430, 2691, 2679, 606, 8484, 610, 5624, 1222, 267, 972, 616, 1082, 2188, 602, 2097, 883, 1404, 269, 19296, 991, 547, 2015, 519, 2326, 1031, 267, 2597, 3892, 267, 3666, 267, 19876, 267, 12740, 267, 8749, 267, 6617, 267, 543, 1852, 1175, 547, 2012, 513, 1906, 256, 1358, 946, 4359, 2645, 543, 3301, 547, 18082, 1114, 2175, 543, 2327, 3106, 1354, 4376, 3217, 1055, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3579, 3344, 1384, 265, 2878, 29605, 5093, 3807, 899, 27568, 723, 2027, 17015, 1500, 689, 2189, 6878, 267, 23825, 8030, 849, 3442, 1808, 2326, 547, 4020, 741, 13144, 269, 2368, 1455, 3283, 1331, 24489, 267, 11956, 23212, 267, 543, 12432, 2326, 971, 607, 3327, 6775, 18674, 22169, 269, 3962, 1570, 814, 922, 5383, 4470, 593, 519, 3498, 563, 265, 2878, 26574, 17392, 5093, 21344, 3388, 856, 568, 2629, 585, 3811, 19426, 269, 1403, 1945, 568, 1932, 5230, 593, 835, 2427, 267, 621, 1522, 28550, 610, 8095, 796, 19055, 2406, 269, 1635, 5402, 17568, 3334, 267, 8030, 666, 15814, 2597, 14961, 4180, 5347, 26055, 563, 265, 2878, 1320, 6412, 267, 700, 3424, 267, 28463, 267, 543, 853, 1464, 5093, 1677, 1205, 3001, 267, 9817, 3132, 19876, 799, 24864, 519, 6174, 4464, 269, 1306, 621, 7575, 267, 12209, 5352, 12740, 602, 24515, 8904, 4543, 621, 10841, 754, 1247, 8749, 13290, 547, 3500, 621, 1524, 269, 24367, 11466, 1063, 891, 4229, 8952, 938, 4739, 11931, 1282, 8184, 780, 2750, 322, 1746, 6201, 454, 2411, 13430, 3086, 602, 649, 1174, 930, 9238, 1577, 781, 2263, 4241, 3156, 540, 23825, 2029, 1384, 265, 2878, 306, 1575, 3205, 545, 4469, 2074, 5093, 5457, 1346, 19270, 867, 324, 14742, 602, 1223, 3444, 519, 9533, 5488, 982, 3280, 286, 2334, 781, 647, 17367, 545, 3432, 256, 4014, 1100, 5010, 647, 17367, 545, 19426, 2291, 2221, 1813, 547, 2825, 4145, 267, 8331, 543, 1866, 3136, 15388, 1007, 2081, 547, 3035, 3608, 647, 17367, 545, 3560, 563, 265, 2878, 22129, 21094, 5093, 14992, 899, 7910, 8895, 12519, 543, 9791, 18882, 2832, 547, 2709, 2110, 15143, 883, 2230, 585, 14666, 5275, 9058, 2833, 269, 2290, 1554, 4166, 267, 596, 1522, 6443, 5215, 945, 723, 2907, 11603, 16295, 2336, 265, 2878, 291, 14772, 5093, 3245, 12419, 15004, 547, 13830, 10875, 6337, 267, 19025, 1831, 5051, 2442, 269, 2060, 7760, 538, 3642, 543, 12957, 267, 2503, 811, 11141, 3096, 16172, 780, 1103, 3932, 267, 23825, 4702, 10905, 6323, 267, 6128, 267, 543, 5876, 547, 1628, 15999, 10760, 6191, 269, 4706, 1764, 10301, 2484, 3564, 18229, 543, 8878, 6080, 15700, 4948, 2729, 269, 1924, 1985, 942, 596, 22401, 2390, 513, 7077, 1350, 4575, 2066, 519, 30723, 610, 14952, 693, 2592, 2366, 1394, 676, 11397, 28525, 267, 3314, 519, 6131, 2367, 543, 2021, 2324, 24091, 3297, 519, 10207, 11319, 6302, 543, 9750, 20030, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8923, 2149, 519, 4647, 769, 3410, 564, 28351, 3281, 2432, 267, 11730, 609, 1022, 30569, 525, 269, 16419, 676, 6723, 21960, 330, 20198, 10830, 269, 4017, 24945, 974, 769, 4887, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 1909, 769, 21774, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 2985, 769, 7664, 4787, 17287, 5554, 267, 476, 1001, 275, 267, 5292, 476, 4366, 267, 17136, 476, 273, 267, 1546, 4011, 1695, 543, 808, 6130, 267, 6480, 615, 267, 543, 7225, 603, 14597, 2185, 570, 24427, 1532, 9508, 272, 543, 3501, 9753, 609, 1433, 593, 741, 6402, 269, 4256, 18441, 4766, 538, 519, 6778, 532, 10244, 525, 281, 4529, 476, 275, 268, 276, 267, 950, 808, 6130, 8118, 519, 2052, 22528, 924, 10220, 590, 529, 5028, 282, 6480, 615, 476, 279, 267, 950, 6480, 615, 729, 609, 2473, 518, 343, 525, 547, 581, 1200, 1239, 547, 960, 2933, 282, 543, 7225, 603, 476, 279, 268, 1626, 267, 950, 7225, 603, 729, 543, 14593, 513, 2361, 547, 581, 519, 8755, 4760, 267, 4591, 1993, 1716, 525, 269, 1452, 2924, 616, 873, 269, 589, 17279, 540, 7293, 2923, 538, 4647, 543, 538, 1898, 30667, 676, 4173, 617, 582, 639, 267, 25264, 543, 570, 659, 7978, 568, 1378, 5213, 725, 269, 901, 7662, 4249, 17627, 6285, 540, 717, 333, 739, 1731, 657, 827, 519, 7194, 267, 5022, 3594, 945, 729, 741, 2621, 547, 1732, 960, 513, 7824, 282, 570, 3912, 5142, 267, 945, 3769, 513, 3922, 5314, 1996, 7261, 6350, 543, 581, 1010, 2856, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 518, 18209, 7177, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 20996, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 21001, 3380, 543, 6181, 1742, 910, 634, 9452, 540, 12390, 4157, 27204, 692, 8702, 267, 2104, 12206, 256, 4653, 649, 2811, 11362, 883, 513, 4241, 9661, 602, 2501, 782, 519, 1259, 689, 3504, 2053, 9789, 1650, 540, 12390, 4157, 27204, 267, 849, 1634, 607, 519, 16635, 540, 28691, 269, 901, 6909, 2680, 3576, 1747, 811, 982, 476, 273, 267, 1822, 1296, 3516, 950, 513, 1895, 540, 12703, 21847, 1572, 519, 631, 3147, 629, 4315, 10692, 585, 3909, 5191, 1996, 519, 16380, 945, 13026, 741, 2244, 269, 1809, 1018, 2306, 713, 3140, 4090, 5963, 9058, 568, 519, 10828, 3297, 519, 14393, 31397, 5216, 6377, 8781, 540, 519, 9093, 528, 1695, 269, 1924, 10544, 707, 942, 6191, 267, 1317, 649, 2461, 827, 547, 3460, 1394, 998, 519, 6502, 2439, 5331, 6972, 1524, 7452, 344, 10754, 538, 519, 2749, 540, 13243, 1472, 476, 13679, 14514, 269, 1411, 1131, 1294, 15999, 17633, 6131, 547, 1585, 10971, 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 ]

[ 3860, 4081, 1557, 1383, 1915, 1210, 519, 2034, 851, 540, 3384, 3197, 269, 589, 7294, 4729, 3029, 899, 596, 723, 10710, 3054, 513, 476, 2004, 267, 1118, 519, 3860, 3983, 817, 269, 4455, 476, 1321, 267, 8076, 3197, 267, 1053, 875, 547, 1711, 3197, 286, 8490, 513, 3860, 1603, 585, 707, 3209, 1454, 3860, 1603, 875, 547, 1390, 3197, 267, 476, 1822, 30087, 1650, 568, 267, 606, 21903, 269, 1403, 596, 666, 948, 596, 917, 519, 856, 3553, 945, 1118, 873, 513, 8666, 610, 5496, 2452, 269, 8074, 910, 952, 596, 1616, 547, 2328, 269, 11778, 476, 272, 910, 835, 540, 1390, 2984, 676, 31444, 1338, 4622, 269, 30180, 547, 1711, 4655, 2047, 547, 2097, 909, 606, 2653, 3860, 609, 2984, 269, 3967, 476, 1556, 267, 689, 972, 616, 519, 3860, 1603, 1184, 267, 476, 1001, 276, 910, 4179, 2517, 22967, 339, 30808, 2593, 270, 1433, 616, 519, 1650, 269, 3509, 5830, 723, 693, 2547, 835, 540, 721, 281, 4967, 593, 513, 2370, 4443, 621, 666, 581, 269, 30180, 547, 8300, 9867, 4664, 971, 607, 1271, 3693, 540, 269, 2311, 2547, 267, 596, 723, 693, 519, 2875, 875, 547, 519, 2295, 540, 476, 4200, 274, 278, 910, 707, 1915, 998, 20171, 585, 707, 7096, 5098, 269, 15043, 9678, 1915, 1646, 543, 3384, 602, 6529, 269, 4455, 476, 2918, 267, 519, 2278, 945, 616, 1187, 269, 1548, 952, 972, 616, 513, 1210, 519, 2347, 513, 2312, 269, 2290, 2025, 21641, 14084, 1472, 12341, 267, 476, 1001, 278, 910, 1354, 596, 666, 581, 2919, 3197, 269, 18833, 875, 547, 1020, 3197, 267, 3860, 1543, 269, 0, 305, 684, 263, 1729, 513, 264, 291, 10157, 281, 27915, 13560, 7913, 16373, 5516, 619, 2443, 5680, 5071, 518, 454, 2026, 649, 4076, 5892, 5941, 267, 519, 3747, 585, 7913, 16373, 568, 593, 519, 4473, 269, 6787, 596, 2461, 1175, 4358, 856, 538, 519, 2361, 610, 723, 513, 4282, 538, 3059, 6725, 267, 596, 949, 711, 917, 827, 782, 540, 519, 4876, 3255, 856, 972, 269, 7427, 2059, 593, 938, 3126, 607, 649, 1491, 513, 1413, 693, 1114, 4876, 3255, 269, 4653, 649, 2461, 2469, 547, 4685, 883, 519, 1158, 540, 513, 5680, 5071, 518, 563, 288, 5680, 5071, 518, 568, 267, 2356, 267, 2576, 945, 6212, 593, 519, 12716, 543, 32636, 540, 513, 3896, 267, 23622, 593, 11768, 267, 1374, 2609, 971, 607, 2681, 543, 2511, 267, 543, 4180, 602, 513, 3135, 786, 1413, 1434, 2066, 1585, 26292, 543, 3457, 630, 20459, 18376, 2070, 8957, 5985, 2070, 1040, 6884, 267, 513, 5680, 5071, 518, 786, 849, 946, 14103, 267, 22898, 267, 543, 824, 1357, 1374, 2645, 547, 1711, 513, 8647, 3896, 689, 519, 1374, 2813, 269, 9282, 713, 2034, 1184, 568, 1419, 2944, 676, 513, 5680, 3763, 518, 267, 930, 3549, 616, 3168, 585, 5680, 5071, 619, 945, 666, 849, 946, 8193, 543, 2645, 547, 1711, 519, 3896, 789, 1374, 563, 16158, 5071, 3622, 4016, 547, 519, 12716, 6712, 540, 513, 3135, 267, 971, 607, 281, 799, 2592, 616, 1031, 267, 1141, 513, 20446, 568, 5116, 267, 519, 4778, 543, 23935, 267, 543, 519, 2949, 11768, 540, 513, 2985, 269, 5680, 5071, 619, 946, 1585, 3292, 971, 607, 23489, 26598, 543, 16503, 15249, 547, 2936, 519, 1655, 1374, 585, 741, 7218, 685, 4609, 563, 7212, 513, 5680, 5071, 518, 949, 849, 798, 930, 540, 519, 4247, 540, 513, 5680, 3763, 518, 267, 789, 666, 2503, 547, 912, 268, 19372, 19534, 20828, 9122, 593, 27010, 10748, 1466, 454, 268, 3503, 1299, 22478, 12474, 454, 268, 14419, 9577, 1275, 10261, 539, 630, 21129, 2574, 8852, 267, 10004, 7207, 267, 3092, 8094, 268, 12315, 30334, 593, 20233, 719, 1299, 5071, 454, 268, 4530, 1299, 13724, 5071, 454, 288, 5680, 5071, 518, 1058, 723, 1082, 2596, 1374, 1983, 267, 607, 1134, 607, 513, 2596, 1620, 540, 8193, 270, 16467, 532, 267, 1256, 952, 789, 616, 711, 4397, 547, 1711, 519, 8647, 3896, 269, 589, 1906, 824, 1983, 789, 1058, 723, 616, 912, 268, 26386, 540, 5071, 24919, 454, 268, 9978, 5680, 5071, 454, 268, 9442, 1299, 3955, 26051, 10341, 454, 268, 22048, 267, 16373, 267, 1299, 4317, 9012, 454, 268, 10439, 5071, 454, 4407, 8193, 543, 1646, 5749, 1406, 2556, 585, 513, 4876, 538, 5680, 5071, 267, 789, 616, 849, 3395, 4610, 602, 979, 1688, 538, 1688, 609, 1357, 1374, 543, 3059, 6725, 269, 2060, 519, 2208, 540, 1514, 2923, 543, 519, 4950, 267, 5680, 5071, 568, 2141, 4657, 543, 15268, 269, 1403, 596, 2972, 1374, 267, 1603, 543, 2870, 1543, 2228, 267, 543, 616, 9952, 538, 3860, 3206, 267, 5680, 5071, 1522, 581, 513, 1434, 3514, 585, 596, 269, 0, 3080, 540, 519, 1034, 1455, 5396, 585, 1312, 2757, 7206, 607, 1134, 607, 10344, 568, 1869, 1272, 269, 12846, 1272, 10344, 568, 2921, 5961, 540, 8723, 3615, 538, 513, 588, 3042, 4259, 269, 898, 5205, 519, 1390, 2245, 538, 7206, 540, 7206, 3615, 538, 4948, 1272, 538, 588, 3042, 5468, 269, 12989, 568, 513, 1869, 1272, 7206, 676, 6754, 9919, 345, 22828, 269, 898, 568, 513, 4605, 540, 4829, 543, 824, 3615, 593, 513, 3349, 269, 2290, 540, 519, 2101, 2609, 540, 1869, 1272, 568, 519, 1198, 540, 8654, 593, 519, 3615, 269, 8074, 519, 17321, 9634, 540, 519, 4829, 602, 5815, 8654, 8711, 563, 26170, 1272, 10344, 3217, 713, 2245, 540, 3615, 543, 8654, 855, 19306, 891, 2592, 998, 12514, 269, 8074, 519, 8666, 540, 519, 11945, 2630, 269, 898, 1175, 2982, 513, 2241, 11945, 609, 8654, 689, 519, 2427, 269, 634, 3239, 2630, 602, 2982, 811, 2427, 1769, 539, 5613, 543, 2882, 1776, 1843, 630, 322, 663, 548, 264, 607, 1134, 269, 634, 1523, 540, 1869, 1272, 568, 547, 1397, 4948, 3688, 538, 2241, 543, 796, 611, 1941, 539, 2081, 563, 2467, 616, 1082, 1390, 2200, 585, 1869, 1272, 10344, 269, 594, 1810, 1406, 2503, 596, 547, 946, 930, 540, 519, 4359, 1305, 5725, 1934, 855, 789, 616, 4277, 547, 2263, 269, 7490, 1224, 563, 7312, 7084, 786, 581, 547, 979, 593, 513, 8666, 9496, 543, 2119, 547, 1491, 6337, 602, 9414, 1869, 1272, 269, 1411, 666, 2119, 8795, 8654, 998, 946, 540, 513, 6885, 610, 513, 8755, 2775, 610, 17689, 547, 3489, 8711, 543, 20224, 269, 7490, 2022, 1079, 6337, 689, 713, 9496, 543, 2022, 8292, 593, 707, 8666, 1519, 1141, 621, 729, 3144, 543, 824, 4143, 1344, 269, 4746, 2022, 513, 6085, 593, 2576, 3116, 779, 8666, 269, 2353, 17096, 3652, 1869, 4019, 269, 0, 288, 3650, 540, 1200, 476, 6200, 560, 4332, 16683, 593, 11728, 267, 11655, 3314, 23570, 328, 10564, 612, 2549, 761, 320, 623, 761, 600, 945, 4050, 2740, 519, 1928, 540, 15652, 267, 568, 20295, 585, 22338, 519, 1259, 585, 2413, 1554, 22158, 543, 4171, 1568, 3717, 540, 24360, 2053, 269, 18004, 593, 4864, 476, 4029, 267, 476, 4489, 280, 267, 538, 2871, 329, 3757, 342, 8403, 267, 2549, 761, 320, 28953, 547, 3127, 1310, 519, 3487, 819, 543, 2968, 513, 3370, 5856, 538, 476, 4350, 277, 950, 1352, 729, 18923, 476, 1704, 1296, 2025, 563, 9515, 9782, 547, 21239, 609, 1200, 5339, 1568, 899, 18237, 21186, 267, 6129, 518, 599, 543, 18491, 2006, 328, 6306, 689, 476, 1911, 824, 2835, 1312, 593, 6965, 543, 5708, 543, 1082, 12563, 8964, 855, 568, 1655, 15422, 585, 1200, 23570, 328, 6648, 31828, 329, 513, 752, 3873, 534, 2782, 529, 20961, 8356, 630, 302, 1372, 547, 2782, 529, 20961, 1070, 799, 533, 2293, 856, 519, 1928, 540, 2527, 659, 637, 1282, 519, 3487, 819, 538, 476, 3707, 278, 269, 2701, 729, 519, 1101, 4807, 547, 4309, 519, 19300, 640, 320, 13019, 611, 655, 328, 13815, 538, 476, 4198, 277, 543, 519, 1101, 23570, 328, 4807, 547, 581, 21688, 7228, 730, 609, 519, 22087, 2742, 1744, 686, 13815, 563, 5278, 540, 519, 6574, 2648, 2984, 616, 911, 326, 1227, 2295, 12577, 543, 1482, 729, 519, 2013, 609, 2549, 761, 320, 4171, 796, 7528, 1243, 2648, 585, 5856, 19300, 597, 23160, 327, 1014, 12858, 568, 1100, 5728, 269, 18270, 730, 585, 1200, 5075, 543, 546, 2109, 267, 2549, 761, 320, 779, 1568, 1185, 10689, 12201, 540, 1463, 3159, 543, 8521, 2431, 1145, 538, 10213, 4775, 7287, 2094, 1352, 729, 3833, 740, 600, 656, 593, 2924, 540, 2021, 563, 293, 792, 1652, 543, 18979, 267, 519, 476, 736, 628, 10601, 10564, 568, 8449, 6068, 593, 1312, 5011, 540, 519, 3127, 1700, 303, 8140, 8473, 543, 1082, 540, 1200, 1568, 616, 1869, 31960, 538, 519, 12271, 540, 3332, 18798, 269, 6744, 856, 930, 540, 2549, 761, 320, 779, 4583, 543, 11599, 10530, 593, 2648, 267, 1928, 543, 15652, 1934, 912, 272, 269, 23371, 17775, 18892, 11111, 7162, 362, 18028, 366, 23547, 11111, 7162, 494, 28637, 17775, 32172, 26498, 23371, 11111, 32172, 5936, 486, 7162, 506, 5936, 486, 28637, 17775, 21999, 26498, 2633, 486, 32172, 2633, 354, 17775, 2633, 366, 21005, 7162, 359, 18892, 7162, 493, 24691, 7162, 369, 24691, 2633, 376, 11165, 23371, 21999, 21005, 7162, 364, 26498, 2633, 506, 21005, 7162, 364, 2633, 500, 7162, 355, 17775, 454, 9558, 26569, 3130, 281, 570, 5028, 2113, 3534, 513, 13453, 3905, 320, 688, 328, 795, 320, 1047, 737, 16211, 554, 7752, 2993, 1612, 552, 330, 3649, 336, 339, 737, 328, 4232, 328, 986, 16223, 632, 563, 273, 269, 2633, 487, 28440, 18892, 21999, 21005, 29334, 18028, 501, 18892, 17775, 2633, 509, 7162, 506, 2633, 366, 7162, 501, 2633, 363, 21005, 267, 28440, 17775, 18892, 17775, 7162, 485, 2633, 370, 11695, 499, 17775, 21999, 21005, 7162, 362, 2633, 373, 24691, 21999, 27758, 2633, 505, 7162, 353, 17775, 18892, 21005, 29334, 14098, 357, 11695, 372, 26498, 23517, 7162, 362, 17775, 23517, 454, 9558, 26569, 3130, 281, 772, 332, 337, 737, 328, 16906, 795, 531, 14447, 328, 267, 6071, 568, 327, 336, 737, 328, 803, 515, 330, 737, 1276, 1768, 328, 1094, 753, 517, 803, 514, 454, 274, 269, 2633, 506, 2633, 373, 14098, 479, 7162, 511, 21005, 7162, 484, 2633, 506, 2633, 376, 11111, 2633, 355, 7162, 364, 5936, 480, 2633, 373, 21999, 21005, 7162, 507, 2633, 366, 24691, 7162, 359, 2633, 350, 2633, 376, 17775, 267, 29334, 28440, 2633, 507, 23547, 11111, 7162, 369, 2633, 373, 7162, 362, 17775, 18892, 11111, 7162, 502, 18892, 32172, 5936, 486, 454, 9558, 26569, 3130, 281, 808, 25301, 536, 6062, 513, 5633, 611, 678, 7795, 737, 328, 795, 15595, 752, 533, 1228, 344, 267, 7663, 1690, 327, 3534, 530, 1695, 544, 5028, 575, 9618, 688, 328, 454, 275, 269, 2633, 356, 18892, 23371, 21005, 21999, 11111, 7162, 355, 18028, 366, 7162, 356, 2633, 350, 2633, 376, 24691, 7162, 364, 2633, 373, 11111, 32172, 5936, 486, 29334, 27758, 23547, 11111, 32172, 5936, 486, 7162, 484, 2633, 506, 7162, 509, 2633, 373, 23547, 18028, 363, 26498, 23517, 21999, 17775, 7162, 502, 18892, 7162, 360, 5936, 480, 2633, 366, 7162, 362, 17775, 2633, 373, 28440, 14098, 357, 32172, 27758, 2633, 493, 32172, 5936, 486, 23517, 454, 9558, 26569, 3130, 281, 20144, 691, 328, 25697, 8920, 546, 17495, 752, 986, 3873, 688, 328, 267, 3141, 320, 688, 328, 513, 1690, 751, 18255, 12011, 517, 1183, 575, 9618, 943, 944, 803, 8676, 534, 27280, 554, 664, 454, 276, 269, 2633, 487, 28440, 31073, 21999, 21005, 21999, 14098, 501, 2633, 506, 2633, 376, 7162, 359, 17775, 7162, 353, 17775, 18892, 17775, 7162, 485, 2633, 370, 11695, 499, 2633, 376, 7162, 357, 17775, 7162, 483, 23517, 2633, 501, 5936, 480, 2633, 510, 11111, 7162, 366, 2633, 501, 11111, 7162, 355, 18028, 363, 11111, 454, 9558, 26569, 3130, 281, 772, 332, 337, 737, 328, 737, 698, 1794, 890, 512, 699, 568, 327, 336, 683, 2587, 3578, 320, 561, 15676, 1019, 5984, 454, 2080, 779, 530, 5109, 602, 2549, 761, 320, 623, 761, 600, 779, 2619, 31771, 1568, 2661, 593, 11014, 543, 949, 519, 23290, 2041, 31600, 540, 3332, 1413, 909, 547, 519, 544, 11232, 1157, 29787, 607, 741, 13057, 1769, 865, 607, 547, 581, 13974, 6619, 540, 741, 2053, 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 ]

[ 928, 269, 769, 4148, 579, 324, 576, 1147, 561, 685, 8882, 328, 561, 339, 1674, 269, 661, 1885, 632, 561, 685, 3036, 4306, 6865, 269, 2382, 26623, 31839, 9820, 632, 5589, 615, 3832, 6982, 604, 328, 6446, 13248, 682, 667, 2946, 975, 701, 268, 618, 679, 3213, 641, 2946, 1674, 267, 8303, 563, 2419, 600, 714, 334, 590, 1421, 14339, 337, 6403, 326, 22222, 4211, 629, 718, 3266, 661, 1421, 19257, 718, 525, 5336, 749, 5964, 594, 1421, 2279, 3570, 589, 1421, 700, 5451, 345, 16619, 681, 1421, 667, 4040, 334, 674, 1421, 2836, 17383, 4211, 1162, 589, 1421, 1924, 548, 5174, 523, 564, 589, 269, 543, 22616, 11252, 962, 269, 476, 1001, 271, 269, 2961, 1461, 6403, 10973, 553, 632, 15255, 1942, 6652, 535, 6403, 338, 545, 553, 586, 1979, 565, 6759, 3766, 545, 553, 1642, 647, 601, 334, 598, 25650, 4870, 579, 16780, 807, 865, 3691, 3288, 1102, 328, 561, 10177, 857, 11252, 586, 3288, 2144, 657, 18059, 679, 3235, 657, 626, 655, 553, 10859, 5451, 5090, 657, 269, 623, 597, 710, 657, 13679, 281, 7597, 268, 9834, 269, 2552, 516, 6652, 1627, 8160, 1421, 17455, 334, 631, 1421, 6480, 2784, 320, 661, 1421, 4236, 2784, 334, 661, 269, 543, 4469, 2803, 808, 563, 1001, 273, 269, 2885, 514, 24265, 632, 5033, 25022, 632, 1965, 23853, 28571, 643, 553, 632, 17485, 32488, 2389, 714, 2297, 10859, 5451, 5090, 657, 1642, 5621, 328, 680, 8457, 30067, 4618, 334, 269, 24163, 3244, 1842, 1470, 3955, 5991, 659, 1308, 865, 3691, 3288, 7579, 320, 8125, 4034, 516, 679, 2098, 517, 553, 3331, 479, 5090, 553, 269, 10713, 21059, 4201, 11252, 5448, 932, 12686, 334, 269, 1133, 21059, 13636, 10713, 527, 7559, 632, 2098, 517, 553, 3331, 479, 5090, 553, 267, 717, 6759, 1889, 345, 6022, 659, 1470, 267, 20736, 24546, 267, 631, 2946, 343, 4815, 563, 5719, 1149, 700, 1421, 14472, 550, 516, 614, 681, 1421, 661, 671, 16466, 667, 12282, 269, 543, 5395, 701, 631, 6185, 269, 476, 1220, 278, 269, 2885, 1588, 543, 6079, 1782, 10661, 540, 1079, 5993, 30230, 1606, 525, 593, 6132, 1156, 26730, 3990, 6211, 3037, 2267, 7370, 269, 7233, 543, 14606, 454, 7628, 670, 12282, 269, 543, 11709, 1677, 648, 333, 645, 12171, 269, 476, 1960, 271, 269, 21563, 4451, 974, 4205, 609, 824, 2371, 269, 15636, 19680, 4750, 540, 519, 6931, 928, 534, 5980, 454, 292, 671, 16466, 667, 12282, 1421, 14332, 12027, 631, 6993, 1421, 8575, 652, 516, 674, 11053, 1421, 1325, 517, 810, 623, 1421, 31410, 681, 11482, 1421, 14466, 611, 641, 565, 748, 808, 269, 543, 18521, 644, 3266, 589, 269, 476, 1001, 271, 269, 20308, 2360, 540, 1614, 5117, 8030, 593, 1102, 328, 561, 339, 1674, 538, 513, 10859, 268, 541, 573, 2405, 924, 8573, 10328, 31922, 269, 23270, 338, 1724, 281, 275, 4200, 268, 27944, 563, 292, 2675, 644, 3266, 589, 1421, 6742, 6403, 928, 345, 594, 1421, 632, 3288, 30434, 589, 1421, 17305, 5451, 3271, 320, 631, 6993, 14371, 269, 543, 8575, 525, 2389, 516, 674, 11053, 269, 476, 1220, 278, 269, 14606, 6132, 2380, 723, 2249, 6741, 322, 604, 328, 524, 2360, 593, 519, 6079, 1782, 11944, 540, 1614, 14934, 1186, 2684, 850, 2030, 2249, 269, 4750, 540, 1488, 573, 2037, 4921, 3583, 281, 1240, 268, 2764, 563, 15307, 2784, 320, 4211, 770, 650, 11252, 661, 1421, 8845, 5336, 528, 2297, 700, 1421, 16645, 541, 9418, 268, 5226, 842, 534, 8759, 808, 6993, 1421, 4236, 2784, 334, 25286, 8663, 571, 661, 1421, 595, 582, 5028, 4211, 528, 16699, 631, 1421, 22616, 14243, 5025, 344, 8403, 595, 269, 543, 12275, 2275, 17144, 6261, 2946, 30959, 808, 269, 476, 1001, 271, 269, 1849, 553, 604, 328, 524, 24265, 632, 17485, 2250, 714, 2297, 10300, 6759, 25206, 17485, 1642, 562, 648, 4614, 632, 631, 2946, 343, 4815, 607, 1539, 15606, 598, 829, 761, 334, 632, 15255, 9299, 1457, 553, 630, 7261, 5991, 558, 903, 30067, 4618, 639, 2567, 4129, 21059, 586, 1439, 655, 1143, 334, 632, 1965, 23853, 269, 4860, 529, 2389, 320, 5165, 545, 3570, 632, 21954, 1392, 21059, 10037, 281, 25002, 268, 275, 1626, 563, 14503, 2803, 808, 269, 543, 5696, 542, 525, 744, 269, 476, 1220, 272, 269, 7233, 1272, 1106, 543, 23286, 538, 513, 11204, 954, 9341, 9390, 281, 2360, 540, 3037, 1216, 1761, 543, 2837, 269, 4750, 540, 1488, 573, 2037, 4921, 5325, 281, 476, 4366, 276, 268, 5392, 278, 269, 4469, 2803, 808, 269, 543, 4236, 2784, 334, 661, 269, 476, 1960, 279, 269, 2885, 1588, 543, 2038, 2208, 7592, 454, 1993, 476, 1691, 2030, 2249, 5065, 547, 7187, 6792, 269, 3162, 13523, 7849, 626, 6246, 281, 476, 2412, 268, 5379, 563, 18661, 6403, 928, 345, 25575, 29166, 345, 670, 1421, 5651, 27713, 595, 269, 543, 5211, 320, 5025, 7666, 1791, 966, 269, 476, 1001, 273, 269, 15168, 2173, 1588, 267, 6668, 543, 2208, 540, 1614, 15466, 2371, 593, 1979, 23383, 3766, 673, 3037, 2267, 7370, 689, 513, 11204, 9341, 9390, 269, 7233, 10334, 454, 295, 1177, 7719, 595, 17679, 269, 476, 1220, 274, 269, 5843, 6716, 1143, 657, 1642, 647, 601, 334, 267, 2030, 553, 679, 10652, 580, 549, 632, 970, 514, 857, 11252, 586, 3288, 11122, 24265, 1642, 1319, 528, 1537, 632, 8419, 269, 8278, 2670, 2389, 655, 553, 1321, 281, 272, 268, 277, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 2735, 272, 320, 269, 590, 27713, 2389, 8412, 2983, 690, 337, 5451, 325, 3821, 632, 715, 826, 17383, 2274, 11252, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 2735, 272, 321, 269, 590, 27713, 2389, 8412, 2983, 690, 337, 5451, 325, 3821, 632, 3213, 24660, 10042, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 2562, 9680, 296, 269, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 269, 476, 1220, 273, 269, 590, 27713, 2389, 8412, 632, 22252, 24265, 2983, 690, 337, 5451, 325, 3821, 1642, 1609, 5964, 632, 5842, 30511, 8000, 657, 6403, 269, 631, 2946, 343, 4815, 267, 667, 12171, 563, 297, 2378, 926, 631, 1421, 570, 822, 8270, 589, 1421, 2098, 541, 724, 600, 715, 1421, 670, 21983, 3901, 328, 13850, 6993, 1421, 2098, 732, 595, 8160, 6993, 2676, 4537, 597, 345, 6598, 590, 1421, 10897, 7568, 643, 663, 670, 1421, 14858, 6255, 629, 1014, 13850, 10611, 269, 543, 1924, 327, 4599, 328, 631, 269, 476, 1220, 275, 269, 24951, 930, 3601, 540, 12933, 539, 543, 4608, 27434, 11934, 538, 1325, 698, 565, 16323, 540, 9459, 269, 9031, 4750, 540, 12594, 454, 17315, 2784, 334, 661, 269, 543, 4639, 984, 344, 631, 269, 476, 1960, 273, 269, 2885, 1588, 7350, 540, 694, 548, 322, 268, 1540, 3844, 8241, 2371, 269, 8241, 4750, 540, 17905, 454, 299, 525, 3821, 623, 269, 543, 17125, 569, 808, 2529, 269, 476, 1960, 273, 269, 12186, 540, 6939, 690, 25271, 3037, 12933, 593, 519, 2551, 6384, 540, 6259, 529, 905, 322, 1495, 320, 630, 289, 14993, 545, 19687, 1916, 13563, 11068, 1633, 7849, 626, 12553, 281, 7871, 268, 2568, 563, 30537, 2473, 10611, 1421, 808, 807, 2473, 13034, 1421, 7043, 700, 269, 304, 269, 543, 2098, 518, 2041, 590, 269, 476, 1220, 276, 269, 12186, 540, 1979, 23383, 3766, 673, 3037, 2267, 7370, 593, 6079, 4871, 267, 23286, 543, 10661, 540, 1079, 5993, 2030, 2249, 538, 519, 570, 1263, 3455, 19164, 630, 301, 3624, 1040, 7233, 543, 14606, 28071, 281, 23841, 268, 4343, 276, 563, 299, 1993, 623, 269, 543, 8709, 645, 13873, 808, 269, 1290, 1186, 269, 476, 2735, 278, 269, 1924, 2812, 540, 519, 2622, 269, 2902, 320, 2389, 1308, 14606, 13129, 543, 6176, 10418, 267, 14174, 302, 267, 20648, 269, 29021, 3163, 14539, 3213, 267, 5549, 269, 24545, 563, 299, 6759, 19649, 4211, 677, 15530, 589, 1421, 15609, 962, 269, 543, 25661, 17144, 5336, 12245, 517, 5964, 808, 269, 304, 269, 476, 1001, 271, 269, 4144, 268, 951, 21059, 535, 328, 2845, 523, 18863, 3821, 632, 1965, 23853, 632, 5843, 1723, 548, 639, 632, 1942, 6652, 1979, 565, 6759, 11551, 553, 632, 647, 601, 334, 632, 3288, 4050, 6403, 985, 3121, 632, 645, 24652, 4993, 267, 631, 2946, 343, 4815, 563, 3725, 341, 16695, 5165, 545, 3570, 632, 21954, 1392, 21059, 10037, 281, 272, 268, 278, 563, 300, 565, 2088, 8566, 21838, 571, 966, 8160, 269, 476, 1001, 274, 269, 8779, 6652, 1979, 565, 6759, 11551, 553, 1642, 647, 601, 334, 679, 3235, 2670, 2389, 655, 553, 632, 2250, 714, 2297, 1642, 5621, 328, 680, 8457, 1642, 14926, 324, 632, 631, 2946, 343, 4815, 269, 570, 8412, 2703, 2389, 7394, 269, 11120, 738, 611, 632, 595, 1329, 857, 553, 11206, 2297, 267, 10713, 21059, 4201, 11252, 5448, 632, 715, 826, 17383, 2274, 11252, 269, 700, 2088, 637, 269, 476, 15782, 6032, 563, 300, 2632, 320, 29823, 595, 1421, 28533, 1725, 16619, 645, 269, 543, 5696, 542, 525, 744, 269, 476, 1960, 276, 269, 14606, 1216, 946, 676, 1071, 25365, 19211, 543, 21823, 538, 519, 8828, 932, 8811, 340, 1695, 10224, 19164, 267, 6792, 269, 4750, 540, 1488, 573, 2037, 4921, 4029, 281, 272, 268, 1724, 269, 21546, 808, 15030, 269, 476, 1220, 277, 269, 21563, 4451, 974, 1319, 338, 21391, 23286, 540, 454, 12061, 28921, 2249, 538, 26151, 22465, 1875, 28921, 31922, 24790, 563, 302, 1206, 639, 631, 269, 543, 25672, 601, 631, 269, 476, 1220, 275, 269, 7720, 626, 675, 2175, 543, 519, 4527, 540, 536, 787, 4451, 5052, 3313, 535, 525, 26443, 2249, 11606, 538, 513, 3819, 1608, 13282, 748, 31922, 269, 744, 1815, 860, 807, 15946, 281, 27840, 268, 26482, 563, 303, 18372, 631, 8160, 1421, 28574, 320, 700, 1421, 8845, 700, 1421, 543, 4236, 2784, 334, 661, 269, 476, 1001, 274, 269, 2961, 1461, 328, 22271, 24265, 1642, 647, 601, 334, 679, 3935, 5362, 632, 595, 2106, 558, 903, 30067, 4618, 639, 8585, 26713, 267, 476, 6245, 273, 679, 1714, 6862, 334, 652, 324, 632, 631, 2946, 343, 4815, 269, 4860, 16695, 5165, 545, 3570, 632, 595, 1329, 857, 553, 11206, 2297, 275, 281, 7176, 268, 10755, 563, 303, 2946, 30959, 4149, 17505, 31712, 681, 8160, 267, 4236, 2784, 334, 661, 1421, 932, 23981, 13305, 1173, 553, 700, 269, 543, 4469, 2803, 808, 269, 476, 1001, 272, 269, 23268, 23286, 540, 8828, 932, 8811, 340, 1695, 10224, 19164, 2371, 538, 3210, 547, 11506, 5210, 269, 4750, 540, 1488, 573, 30287, 268, 906, 4037, 281, 476, 7818, 268, 280, 3199, 563, 303, 6652, 572, 681, 269, 543, 18004, 330, 2459, 681, 269, 476, 1220, 271, 269, 6356, 540, 8762, 8438, 3037, 1147, 19904, 2267, 7370, 593, 11944, 540, 15466, 2371, 269, 7233, 17905, 454, 5226, 328, 10722, 2158, 13305, 5028, 808, 12282, 1421, 10011, 749, 534, 657, 6261, 2946, 30959, 661, 1421, 4406, 16780, 807, 4211, 770, 549, 595, 8160, 1421, 6742, 6403, 928, 345, 7304, 889, 1470, 808, 12282, 1421, 590, 17505, 31712, 14114, 331, 591, 320, 570, 269, 543, 8053, 525, 8566, 517, 345, 5451, 548, 345, 595, 6993, 269, 476, 1220, 280, 269, 661, 2739, 334, 632, 3288, 1942, 571, 1979, 565, 6759, 326, 3821, 865, 3691, 3288, 1102, 328, 561, 10177, 857, 11252, 632, 989, 7699, 679, 796, 2250, 714, 531, 269, 6833, 571, 21337, 15330, 545, 3570, 2767, 281, 27868, 268, 27840, 269, 1234, 13433, 8566, 6759, 1889, 345, 966, 8160, 1421, 22870, 1090, 2632, 525, 6261, 699, 5866, 667, 1421, 21001, 24229, 14114, 329, 20364, 715, 9950, 1421, 454, 306, 17505, 31712, 6363, 1716, 5451, 526, 14162, 623, 11065, 269, 543, 22870, 1090, 2632, 525, 14114, 331, 643, 553, 744, 6993, 269, 476, 1220, 278, 269, 14466, 601, 554, 573, 1503, 6759, 326, 4815, 268, 3711, 1304, 531, 632, 15255, 4412, 1221, 3547, 554, 573, 337, 5451, 592, 545, 553, 1642, 647, 601, 334, 15988, 328, 524, 658, 632, 3288, 24140, 523, 8619, 1642, 678, 6403, 334, 1230, 577, 657, 269, 769, 2102, 1512, 17144, 19743, 10377, 5451, 592, 3821, 679, 631, 2946, 343, 4815, 2420, 281, 3451, 268, 5379, 563, 305, 1853, 320, 5025, 7666, 1791, 966, 1421, 2696, 6403, 928, 345, 25575, 29166, 345, 670, 1421, 2494, 340, 749, 4211, 5995, 5060, 594, 269, 543, 14339, 337, 6403, 326, 22222, 19053, 541, 6210, 5633 ]

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

[ 610, 519, 21897, 563, 4407, 6646, 1705, 711, 2087, 1565, 267, 519, 1353, 4951, 602, 6646, 5280, 1453, 2347, 811, 10160, 1740, 543, 2087, 741, 4928, 2623, 267, 607, 4397, 269, 1879, 2921, 6646, 267, 1453, 6192, 476, 4391, 2600, 811, 12980, 2042, 829, 8792, 543, 8149, 476, 7871, 2600, 7864, 4928, 4341, 19374, 829, 5662, 563, 12234, 267, 5812, 609, 3105, 2090, 267, 3173, 1336, 602, 6646, 5594, 5280, 547, 2087, 1449, 8464, 950, 6646, 568, 3144, 593, 519, 1554, 540, 513, 1449, 267, 855, 711, 2614, 547, 5818, 1034, 1453, 779, 9344, 269, 1280, 1383, 267, 6646, 5280, 1453, 2333, 593, 3328, 476, 272, 269, 278, 6871, 2798, 856, 540, 476, 1911, 593, 2257, 543, 1514, 2090, 4255, 563, 18719, 1324, 4081, 9740, 568, 1271, 585, 1453, 609, 11838, 1317, 3379, 547, 741, 9905, 267, 1453, 609, 11838, 8858, 811, 1055, 2389, 2532, 4928, 2623, 267, 4309, 2539, 9344, 267, 543, 3489, 2539, 8464, 593, 4255, 269, 1358, 849, 616, 811, 2693, 547, 4309, 2027, 2069, 2533, 267, 581, 17477, 585, 513, 3446, 543, 6749, 856, 1354, 22692, 269, 18648, 4081, 9740, 568, 835, 540, 519, 1034, 27676, 23043, 2404, 609, 11838, 267, 1419, 3056, 547, 519, 1279, 3856, 25367, 543, 2883, 7965, 602, 21656, 11838, 538, 15296, 563, 28095, 1382, 5342, 676, 19994, 5069, 267, 606, 11838, 1382, 543, 2126, 22082, 267, 814, 1336, 602, 8965, 3797, 2443, 950, 1031, 1101, 2443, 568, 1447, 7199, 543, 811, 2500, 538, 8156, 1453, 609, 11838, 982, 6646, 269, 29918, 592, 1218, 616, 1034, 2500, 607, 513, 29433, 267, 2034, 11060, 2126, 4781, 585, 1346, 945, 991, 621, 543, 693, 2539, 13066, 982, 3335, 11311, 269, 3958, 267, 519, 5980, 585, 25833, 543, 19884, 27435, 630, 16256, 21990, 264, 814, 3370, 1007, 4791, 4808, 602, 9244, 4363, 8965, 6304, 607, 519, 1101, 11060, 2126, 585, 6107, 609, 11838, 563, 2108, 5978, 1382, 814, 1336, 942, 543, 942, 1586, 602, 8965, 6304, 568, 1655, 585, 1453, 609, 11838, 1317, 789, 267, 741, 3610, 267, 543, 741, 3237, 1451, 1983, 543, 2994, 602, 786, 948, 873, 8011, 693, 1153, 267, 693, 1753, 543, 538, 3347, 1279, 3856, 2223, 1767, 19994, 5069, 269, 968, 8469, 21899, 938, 1453, 3085, 1406, 4194, 519, 1966, 22924, 1152, 3217, 2476, 519, 2589, 17303, 269, 5502, 267, 3885, 1058, 1445, 593, 8965, 7459, 1101, 543, 1039, 6646, 1152, 952, 2877, 3034, 6826, 24173, 543, 4081, 7459, 602, 25006, 2087, 6198, 15717, 1279, 3856, 585, 6107, 609, 11838, 1331, 2385, 2866, 543, 4928, 2861, 2359, 2645, 899, 513, 3232, 1867, 3556, 267, 543, 1153, 2533, 1808, 547, 4081, 9740, 971, 607, 476, 27843, 4566, 1496, 659, 5570, 617, 725, 3177, 896, 8791, 476, 27843, 540, 519, 29407, 2920, 540, 476, 3192, 274, 316, 543, 2027, 2069, 25191, 2069, 4566, 630, 296, 7968, 338, 1916, 12867, 4063, 602, 519, 1353, 729, 5342, 538, 513, 6417, 4832, 1153, 6438, 1604, 543, 2164, 949, 581, 1114, 538, 513, 2834, 4928, 4259, 269, 1358, 1131, 899, 547, 21613, 713, 1353, 538, 513, 2067, 4928, 1604, 1210, 4081, 21195, 936, 519, 8653, 540, 513, 1153, 1032, 547, 2417, 6218, 519, 1764, 540, 6646, 593, 1565, 563, 27270, 281, 968, 763, 1198, 540, 8102, 656, 6646, 593, 519, 1565, 540, 4081, 21195, 538, 1453, 609, 11838, 281, 589, 19747, 31832, 20108, 1353, 892, 676, 19994, 5069, 267, 654, 269, 661, 269, 8633, 267, 1325, 1206, 345, 17526, 267, 589, 269, 681, 1421, 8585, 18115, 267, 645, 269, 631, 1421, 14780, 32304, 267, 808, 269, 590, 1421, 5839, 15343, 324, 267, 674, 269, 700, 1421, 10548, 657, 267, 631, 1421, 717, 333, 698, 344, 267, 661, 269, 631, 1421, 13983, 10719, 267, 589, 269, 681, 1421, 2051, 525, 267, 661, 269, 918, 1421, 1230, 24335, 267, 595, 269, 631, 1421, 31701, 10247, 267, 595, 269, 808, 1421, 8738, 3455, 267, 700, 1421, 5651, 992, 267, 589, 269, 590, 1421, 2098, 29697, 267, 2473, 1421, 4210, 753, 517, 267, 808, 269, 631, 1421, 654, 1314, 332, 976, 5652, 267, 808, 269, 717, 1421, 1299, 19994, 5069, 267, 654, 269, 661, 1421, 12789, 1421, 476, 2537, 2904, 476, 1708, 273, 267, 4750, 540, 31173, 543, 11916, 10017, 563, 1607, 1353, 729, 3370, 538, 519, 4750, 540, 31173, 543, 11916, 10017, 543, 729, 14102, 676, 519, 2817, 4659, 593, 10076, 2657, 563, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 256, 630, 4696, 8461, 1916, 3674, 621, 513, 4524, 286, 634, 1344, 568, 8572, 547, 4482, 543, 11677, 519, 1719, 540, 519, 1268, 8995, 607, 2348, 11838, 269, 634, 11020, 3026, 584, 976, 616, 5409, 5562, 286, 1547, 1215, 1134, 723, 649, 324, 25528, 519, 3026, 584, 517, 8416, 286, 1772, 972, 513, 3989, 16453, 286, 6496, 621, 4268, 609, 942, 543, 824, 2188, 888, 3963, 798, 649, 3801, 547, 3514, 3388, 883, 513, 968, 31863, 3892, 7455, 892, 888, 28646, 267, 519, 856, 11502, 593, 519, 7455, 666, 2490, 782, 540, 1699, 1702, 593, 922, 2212, 269, 1703, 3884, 1406, 513, 3043, 610, 11954, 10788, 585, 3388, 896, 519, 3141, 267, 799, 649, 1810, 1406, 1174, 2336, 2171, 991, 547, 1711, 513, 1604, 585, 891, 8335, 705, 1194, 7606, 547, 21707, 563, 21366, 6829, 616, 2123, 543, 711, 11006, 593, 4896, 563, 303, 601, 5069, 779, 1382, 1058, 581, 2808, 14353, 269, 1261, 814, 513, 1279, 1686, 540, 2623, 26209, 4485, 547, 11838, 269, 2755, 5707, 1674, 729, 711, 5018, 538, 713, 5618, 2376, 267, 594, 666, 3592, 10018, 602, 21904, 941, 1500, 593, 8965, 7355, 4805, 543, 8102, 656, 9570, 729, 849, 1759, 9003, 593, 2623, 607, 1134, 269, 1261, 779, 606, 2025, 1153, 2623, 626, 538, 519, 2564, 2361, 1107, 972, 779, 711, 1454, 968, 25924, 892, 538, 1018, 646, 2853, 610, 840, 2851, 563, 2026, 1250, 1382, 267, 543, 1866, 899, 23172, 22978, 543, 7137, 16466, 723, 3254, 267, 8965, 5707, 1674, 5012, 547, 23043, 538, 2324, 3965, 269, 11554, 3965, 568, 7168, 1271, 585, 19174, 267, 865, 621, 568, 1100, 4898, 519, 4589, 4951, 1100, 1764, 540, 8102, 1218, 593, 9740, 269, 17610, 267, 789, 941, 5360, 5050, 267, 855, 952, 596, 10556, 2576, 779, 1565, 2702, 593, 2618, 32430, 1199, 338, 267, 596, 666, 1406, 2503, 873, 547, 798, 1732, 27268, 269, 1284, 1397, 513, 5276, 1198, 585, 2623, 267, 543, 513, 13392, 1198, 585, 17133, 267, 609, 2362, 13066, 10556, 532, 17133, 630, 6518, 568, 5812, 609, 23798, 2963, 543, 3662, 3631, 1040, 3776, 1382, 849, 2982, 8102, 1218, 1860, 22965, 600, 622, 267, 606, 1271, 32239, 585, 1565, 269, 1284, 4951, 22965, 600, 622, 4679, 950, 5042, 5707, 1674, 568, 1031, 267, 855, 621, 11081, 950, 8965, 5707, 1674, 568, 1031, 269, 901, 568, 5812, 609, 824, 1382, 593, 8102, 656, 2360, 593, 22965, 600, 622, 269, 3143, 4898, 891, 3214, 2623, 958, 5707, 3603, 1810, 1406, 1397, 1565, 9283, 267, 519, 6646, 9570, 596, 616, 1210, 791, 4202, 741, 1565, 2702, 2507, 563, 16032, 267, 17659, 267, 9474, 303, 323, 301, 454, 22832, 645, 269, 670, 1446, 267, 12854, 267, 9474, 303, 323, 301, 454, 2252, 594, 11074, 4758, 1250, 1126, 1010, 11838, 6646, 267, 646, 9327, 1406, 581, 4847, 547, 1451, 4376, 269, 1261, 8910, 3274, 581, 1932, 26688, 547, 519, 4928, 269, 769, 1249, 593, 519, 32300, 649, 1450, 1864, 547, 1491, 513, 2736, 689, 519, 1199, 338, 269, 1261, 2141, 2501, 1524, 543, 12134, 585, 621, 5128, 1317, 646, 30877, 1010, 3014, 1404, 543, 1514, 5872, 23119, 563, 1607, 568, 513, 12517, 30096, 1353, 689, 2789, 14621, 282, 1299, 267, 2215, 320, 1795, 773, 630, 328, 4318, 1421, 621, 568, 3297, 513, 2628, 13665, 1070, 972, 616, 2699, 17514, 607, 547, 875, 31719, 3280, 713, 1353, 2731, 2479, 1223, 581, 2443, 3226, 609, 2463, 547, 519, 14905, 779, 1378, 19078, 13832, 1299, 12333, 8943, 540, 18430, 269, 2334, 1281, 10691, 1611, 547, 17538, 13766, 267, 855, 950, 621, 779, 1360, 2352, 547, 1174, 875, 971, 606, 2376, 1223, 23710, 4601, 1780, 25398, 5623, 1299, 1071, 1877, 609, 519, 14905, 779, 1378, 4835, 2382, 6627, 2480, 337, 583, 4176, 1299, 1869, 581, 9516, 585, 22910, 2507, 263, 24047, 901, 568, 835, 3236, 1141, 14656, 1055, 1930, 267, 1857, 11660, 1299, 19078, 22987, 609, 513, 2628, 13665, 3884, 1406, 1175, 630, 11357, 560, 656, 1947, 264, 30940, 267, 621, 779, 30739, 535, 4593, 958, 19450, 1299, 1582, 12413, 324, 908, 563, 23744, 267, 594, 1810, 1406, 2731, 1174, 519, 3409, 547, 3163, 540, 602, 799, 1965, 7870, 22987, 3297, 513, 2628, 13665, 282, 594, 1413, 547, 7377, 704, 1299, 267, 676, 9949, 267, 2543, 713, 968, 16631, 892, 607, 4652, 1023, 16666, 282, 855, 519, 2628, 13665, 568, 28348, 538, 519, 4207, 7070, 1299, 568, 606, 25031, 4641, 630, 261, 4440, 1946, 3163, 11392, 865, 1454, 936, 1606, 651, 696, 6291, 1299, 1253, 6412, 1040, 15979, 267, 2705, 267, 2523, 607, 621, 12211, 547, 6811, 602, 616, 1500, 547, 1198, 1483, 1158, 11916, 5369, 12278, 13756, 1299, 270, 528, 9615, 267, 1299, 10483, 676, 16957, 11660, 11407, 3297, 513, 2628, 13665, 2443, 602, 267, 538, 1250, 6644, 267, 568, 30849, 547, 519, 1448, 1141, 621, 568, 967, 626, 3907, 27720, 689, 519, 1360, 10782, 540, 15554, 657, 7220, 563, 3963, 1131, 519, 14905, 3442, 547, 24183, 741, 1378, 6392, 1299, 741, 1378, 26117, 2507, 888, 3719, 3025, 6487, 602, 267, 621, 779, 1031, 547, 948, 609, 1445, 269, 634, 23319, 568, 11838, 3007, 17211, 30759, 4524, 269, 14268, 1451, 547, 798, 707, 1382, 1034, 1453, 609, 2699, 3925, 856, 6738, 713, 1510, 2921, 1003, 6883, 1199, 338, 454, 1839, 3764, 286, 2334, 779, 899, 3368, 513, 1362, 1974, 269, 634, 1483, 1449, 568, 875, 1134, 789, 1451, 476, 278, 3108, 883, 519, 1554, 563, 296, 6557, 513, 2852, 7548, 267, 11001, 267, 543, 594, 723, 1520, 24863, 563, 5804, 1250, 2123, 1995, 543, 1346, 609, 1053, 267, 713, 1281, 711, 9983, 803, 269, 594, 2760, 2219, 8102, 1218, 5280, 1053, 1451, 267, 855, 2864, 621, 5280, 873, 3514, 538, 547, 1362, 543, 1205, 2463, 689, 3610, 543, 15032, 269, 2334, 568, 519, 1483, 4324, 269, 674, 18017, 1312, 519, 12886, 540, 9905, 543, 3610, 568, 1018, 2306, 8102, 1218, 26656, 2507, 594, 2760, 5156, 621, 547, 2965, 948, 803, 1247, 3053, 730, 2507, 898, 1175, 2337, 3025, 3116, 3398, 803, 543, 1449, 803, 609, 2463, 563, 10481, 6048, 267, 2825, 26273, 267, 13544, 540, 782, 23194, 563, 296, 729, 8995, 609, 5916, 1826, 11838, 538, 476, 1708, 271, 693, 476, 6078, 1296, 2025, 269, 3143, 267, 594, 798, 711, 3494, 602, 519, 8102, 1218, 1118, 803, 1022, 21273, 267, 667, 308, 295, 18496, 11686, 3122, 269, 594, 3335, 1265, 602, 519, 6646, 1152, 2337, 803, 547, 1445, 593, 1250, 4247, 950, 594, 666, 1205, 8885, 3323, 593, 1346, 4247, 269, 898, 779, 899, 594, 7340, 602, 519, 19309, 4247, 616, 19309, 3006, 269, 9453, 8102, 1218, 594, 993, 1360, 3362, 26531, 269, 1703, 616, 9748, 540, 2589, 22290, 1018, 568, 5941, 22812, 572, 2117, 1117, 538, 519, 2376, 1107, 585, 513, 2603, 540, 873, 267, 899, 519, 7340, 995, 270, 30447, 1222, 20218, 3283, 267, 519, 8102, 1218, 948, 269, 594, 798, 1589, 602, 594, 1223, 946, 513, 2603, 540, 948, 609, 3919, 267, 855, 602, 779, 711, 3833, 1018, 646, 779, 11319, 568, 621, 286, 968, 6826, 24173, 6304, 892, 8726, 602, 1797, 269, 634, 3797, 1759, 5574, 798, 1118, 2631, 547, 803, 267, 855, 789, 616, 811, 7199, 543, 8423, 704, 7115, 269, 12321, 1328, 6499, 547, 581, 476, 2412, 1296, 2025, 543, 991, 513, 544, 20207, 547, 948, 596, 1205, 707, 521, 30995, 2944, 269, 1684, 594, 991, 513, 562, 698, 547, 2995, 803, 547, 798, 519, 1919, 602, 594, 917, 602, 594, 10093, 1406, 2944, 2943, 31170, 9320, 269, 9453, 3168, 883, 621, 267, 713, 1353, 1281, 3100, 547, 1489, 519, 798, 3766, 797, 518, 16786, 602, 568, 21678, 1996, 14453, 5574, 269, 898, 814, 602, 1482, 6413, 32724, 9329, 563, 296, 723, 827, 476, 2004, 1919, 602, 594, 991, 547, 581, 3257, 1318, 1631, 543, 14775, 547, 713, 2376, 3884, 1406, 835, 540, 873, 269, 2368, 7853, 1289, 519, 562, 15967, 563, 296, 6557, 476, 6812, 543, 594, 6557, 593, 966, 344, 7079, 572, 269, 966, 344, 7079, 572, 3085, 1406, 1118, 803, 21273, 269, 594, 6557, 2907, 476, 13970, 21842, 269, 898, 1175, 2636, 803, 547, 2347, 811, 1919, 267, 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 ]

[ 4015, 540, 873, 538, 519, 3818, 1606, 9285, 2013, 264, 568, 2141, 513, 2203, 540, 606, 15821, 3069, 269, 2334, 568, 267, 1169, 15821, 3069, 568, 267, 693, 2547, 267, 959, 643, 6053, 6916, 4192, 269, 1924, 952, 1312, 1269, 306, 259, 543, 1269, 293, 259, 616, 2838, 547, 3274, 581, 8580, 17313, 540, 4834, 267, 1287, 1269, 306, 2969, 22829, 6661, 306, 2969, 263, 293, 6661, 306, 2969, 22829, 315, 1633, 674, 21174, 9008, 259, 563, 1892, 1403, 782, 12204, 616, 2582, 2023, 5036, 267, 1287, 782, 4238, 616, 519, 2189, 1599, 883, 519, 2582, 2023, 1305, 267, 543, 782, 4834, 1413, 899, 1269, 265, 284, 265, 259, 1141, 1269, 265, 259, 6763, 585, 519, 2582, 3693, 269, 634, 23698, 851, 540, 18445, 713, 18005, 1131, 581, 10747, 15821, 6436, 543, 741, 3631, 282, 519, 4890, 6169, 1131, 581, 2241, 269, 1306, 606, 936, 26973, 1935, 281, 519, 7121, 540, 620, 613, 30944, 540, 1022, 4521, 3164, 3069, 814, 513, 12363, 1843, 630, 514, 1249, 782, 7182, 264, 799, 568, 17223, 1448, 3772, 267, 865, 1169, 4521, 3164, 3069, 814, 513, 2203, 4171, 15298, 568, 513, 2582, 2023, 1305, 269, 9484, 476, 2420, 267, 476, 1001, 278, 693, 476, 2420, 281, 4510, 454, 9336, 1305, 540, 24936, 1682, 5473, 1152, 4834, 543, 8580, 17313, 568, 6916, 4192, 676, 519, 2497, 9967, 540, 513, 2582, 3693, 4399, 28588, 8961, 609, 782, 21635, 14648, 607, 4399, 28588, 259, 543, 782, 4238, 607, 24735, 269, 901, 568, 865, 1317, 538, 713, 2497, 782, 4834, 3180, 269, 0, 258, 32389, 540, 2067, 2338, 692, 32098, 2813, 676, 661, 326, 6975, 681, 6359, 651, 267, 12049, 20891, 25234, 651, 267, 22189, 30410, 16587, 4211, 889, 1938, 267, 4432, 2946, 517, 648, 631, 13370, 267, 21563, 534, 13198, 267, 30486, 918, 294, 267, 8841, 2349, 534, 14024, 267, 535, 1716, 629, 24335, 267, 21514, 1143, 660, 20692, 543, 4731, 541, 2513, 780, 32046, 593, 476, 1708, 273, 268, 4905, 268, 2918, 780, 7116, 2544, 10026, 5991, 3784, 7308, 800, 269, 710, 638, 1275, 5991, 1823, 5991, 13246, 1141, 692, 3412, 7964, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 269, 611, 1288, 5991, 1823, 5991, 13246, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 6230, 738, 328, 6473, 5991, 1823, 5991, 13246, 454, 13449, 1104, 10026, 5991, 3784, 7308, 800, 8542, 1823, 5991, 13246, 692, 13449, 1104, 5748, 269, 9146, 6823, 268, 1211, 5874, 1922, 17313, 454, 13449, 1104, 5748, 12500, 2435, 3146, 331, 725, 454, 13449, 1104, 5748, 6983, 691, 14198, 1790, 6055, 268, 18196, 454, 13449, 1104, 5748, 6983, 641, 6055, 268, 18196, 454, 13449, 1104, 5748, 19709, 322, 22421, 268, 18196, 454, 13449, 1104, 5748, 6155, 8817, 1790, 1515, 268, 18196, 454, 13449, 1104, 5748, 269, 24105, 268, 18196, 454, 13449, 1104, 5748, 8807, 4233, 268, 18196, 454, 13449, 1104, 5748, 8807, 684, 2758, 658, 640, 2275, 641, 6055, 268, 18196, 454, 13449, 1104, 5748, 269, 1211, 640, 268, 18196, 454, 13449, 1104, 5748, 269, 10864, 566, 454, 13449, 1104, 5748, 269, 2889, 21752, 454, 13449, 1104, 5748, 269, 22780, 15178, 454, 13449, 1104, 5748, 26509, 5744, 7400, 338, 692, 13449, 1104, 1931, 7308, 800, 269, 1842, 1115, 454, 13449, 1104, 1931, 7308, 800, 269, 2181, 7451, 7531, 1012, 22830, 692, 763, 6935, 18016, 593, 519, 2067, 2338, 568, 519, 2189, 6935, 971, 602, 476, 271, 568, 1447, 982, 1022, 2067, 1297, 267, 543, 971, 602, 544, 266, 272, 18016, 562, 266, 272, 568, 6697, 547, 544, 18016, 562, 780, 1012, 26479, 692, 2162, 32389, 593, 519, 2067, 2338, 692, 19008, 268, 11433, 499, 2433, 21508, 499, 9890, 21508, 499, 9890, 772, 308, 561, 14706, 454, 19008, 268, 11433, 499, 4642, 268, 11433, 499, 544, 815, 1770, 454, 19008, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 4642, 268, 11433, 499, 815, 8900, 454, 19008, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 630, 24175, 764, 268, 11433, 499, 544, 264, 815, 682, 336, 268, 11433, 499, 562, 544, 692, 8882, 1460, 476, 1789, 9041, 19749, 353, 268, 11433, 499, 29390, 318, 19749, 353, 268, 11433, 499, 318, 815, 682, 336, 268, 11433, 499, 7531, 2162, 20010, 4214, 540, 519, 8635, 593, 519, 2067, 2338, 692, 11907, 682, 336, 268, 11433, 499, 262, 2433, 21508, 499, 9890, 21508, 499, 9890, 772, 308, 561, 14706, 1141, 454, 516, 4148, 6122, 336, 268, 11433, 499, 262, 2433, 630, 333, 2433, 21508, 499, 264, 9890, 682, 336, 268, 11433, 499, 262, 562, 562, 454, 335, 1886, 698, 622, 6122, 336, 268, 11433, 499, 262, 2433, 2715, 343, 586, 1990, 2433, 21508, 499, 348, 9890, 13151, 268, 11433, 499, 586, 5236, 376, 507, 1990, 9890, 630, 19008, 268, 11433, 499, 262, 1535, 586, 264, 9890, 630, 19008, 268, 11433, 499, 262, 1535, 1990, 9239, 1012, 16544, 692, 2162, 32389, 593, 519, 2067, 2338, 568, 513, 20790, 692, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 568, 1790, 1886, 630, 19008, 268, 11433, 499, 544, 562, 994, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 568, 1790, 1886, 15492, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 1790, 1886, 15492, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 568, 1790, 1886, 268, 24105, 454, 529, 1790, 1886, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 1790, 1886, 6122, 336, 268, 11433, 499, 544, 562, 692, 19008, 268, 11433, 499, 6261, 1886, 2433, 21508, 499, 9890, 21508, 499, 9890, 11330, 561, 14706, 454, 1440, 272, 630, 19008, 268, 11433, 499, 6261, 1886, 544, 562, 264, 815, 682, 336, 268, 11433, 499, 544, 562, 454, 1440, 273, 630, 19008, 268, 11433, 499, 6261, 1886, 544, 562, 264, 815, 568, 1790, 1886, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 1232, 22421, 692, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 568, 11546, 322, 22421, 630, 19008, 268, 11433, 499, 544, 562, 994, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 538, 331, 5182, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 538, 331, 5182, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 538, 337, 7329, 454, 529, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 568, 11546, 322, 22421, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 513, 17602, 775, 692, 935, 13906, 523, 622, 3887, 336, 6122, 336, 3887, 336, 268, 11433, 499, 10778, 12757, 262, 1535, 586, 586, 262, 2433, 21508, 499, 348, 9890, 1535, 262, 5236, 376, 507, 1535, 9890, 1535, 18016, 268, 11433, 499, 586, 9890, 586, 5236, 376, 507, 586, 262, 9890, 1535, 262, 18016, 268, 11433, 499, 586, 7055, 935, 13906, 523, 622, 3887, 336, 6122, 336, 3887, 336, 268, 11433, 499, 1201, 331, 670, 1201, 331, 815, 670, 692, 935, 13906, 523, 622, 6122, 336, 3887, 336, 268, 11433, 499, 10778, 9852, 2433, 21508, 499, 264, 2715, 333, 562, 262, 2433, 21508, 499, 348, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 562, 5236, 376, 507, 562, 262, 9890, 544, 18016, 268, 11433, 499, 562, 7055, 935, 13906, 523, 622, 6122, 336, 3887, 336, 268, 11433, 499, 544, 670, 1201, 331, 815, 670, 692, 935, 13906, 523, 622, 3887, 336, 6122, 336, 268, 11433, 499, 10778, 31551, 544, 262, 2433, 21508, 499, 348, 630, 333, 2433, 21508, 499, 264, 9890, 544, 262, 5236, 376, 507, 544, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 544, 262, 18016, 268, 11433, 499, 562, 454, 935, 13906, 523, 622, 3887, 336, 6122, 336, 268, 11433, 499, 562, 1201, 331, 670, 815, 670, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 16846, 633, 692, 516, 4148, 6122, 336, 268, 11433, 499, 2433, 630, 333, 2433, 21508, 499, 264, 9890, 562, 18016, 268, 11433, 499, 562, 454, 516, 4148, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 815, 5182, 454, 516, 4148, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 1201, 331, 6122, 336, 268, 11433, 499, 562, 692, 19008, 3887, 336, 268, 11433, 499, 2433, 630, 332, 562, 2433, 21508, 499, 264, 9890, 544, 5236, 376, 507, 562, 9890, 544, 18016, 268, 11433, 499, 562, 454, 19008, 3887, 336, 268, 11433, 499, 544, 1547, 332, 1201, 331, 815, 1201, 331, 6122, 336, 268, 11433, 499, 544, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 1098, 1438, 692, 10520, 1438, 6122, 336, 268, 11433, 499, 2433, 568, 20675, 1438, 682, 336, 268, 11433, 499, 454, 10520, 1438, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 544, 561, 533, 7117, 815, 5182, 454, 10520, 1438, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 561, 264, 533, 7117, 21591, 10520, 1438, 6122, 336, 268, 11433, 499, 562, 544, 561, 533, 7117, 7531, 2162, 32389, 593, 519, 2067, 2338, 568, 24431, 2096, 13240, 692, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 2433, 630, 332, 562, 2433, 21508, 499, 264, 9890, 544, 18016, 268, 11433, 499, 562, 9890, 562, 18016, 268, 11433, 499, 544, 9890, 544, 5236, 376, 507, 562, 454, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 533, 7117, 815, 1201, 331, 454, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 533, 7117, 21591, 777, 13151, 268, 11433, 499, 630, 656, 529, 2096, 13240, 6122, 336, 268, 11433, 499, 544, 562, 533, 7117, 9239, 2162, 634, 13148, 10288, 1305, 540, 2067, 2338, 10288, 676, 8635, 692, 11433, 499, 6261, 516, 4650, 2433, 2776, 4650, 561, 14706, 561, 14706, 454, 1440, 272, 21508, 499, 6261, 516, 4650, 815, 21508, 499, 454, 1440, 272, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 264, 815, 682, 336, 268, 11433, 499, 6261, 1886, 454, 1440, 272, 630, 1440, 273, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 4297, 815, 1201, 331, 6122, 336, 268, 11433, 499, 454, 1440, 273, 630, 1440, 273, 630, 1440, 273, 21508, 499, 6261, 516, 4650, 4297, 815, 1098, 1438, 6122, 336, 268, 11433, 499, 692, 11433, 499, 6261, 657, 564, 2433, 30142, 564, 561, 14706, 561, 14706, 454, 1440, 272, 21508, 499, 6261, 657, 564, 815, 21508, 499, 6261, 516, 4650, 454, 1440, 273, 21508, 499, 6261, 657, 564, 815, 24431, 2096, 13240, 6122, 336, 268, 11433, 499, 7531, 2162, 1280, 1022, 1079, 2067, 2338, 649, 666, 6430, 799, 835, 568, 1447, 982, 519, 824, 692, 15035, 6122, 336, 268, 11433, 499, 10778, 9852, 562, 2433, 21508, 499, 264, 9890, 630, 332, 18016, 268, 11433, 499, 562, 264, 1341, 630, 333, 18016, 268, 11433, 499, 544, 994, 15035, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 4642, 268, 11433, 499, 815, 538, 331, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 4642, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 538, 331, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 4642, 268, 11433, 499, 815, 538, 337, 5182, 454, 15035, 6122, 336, 268, 11433, 499, 630, 24175, 764, 268, 11433, 499, 544, 264, 630, 24175, 764, 268, 11433, 499, 562, 264, 815, 5276, 6122, 336, 268, 11433, 499, 544, 562, 7531, 2162, 1280, 1022, 1614, 2067, 2338, 267, 972, 616, 1614, 2665, 538, 875, 789, 666, 581, 10288, 692, 322, 1162, 19195, 31644, 3887, 6123, 268, 11433, 499, 10778, 3287, 586, 1990, 2433, 21508, 499, 264, 9890, 772, 308, 561, 14706, 454, 322, 1162, 19195, 31644, 3887, 6123, 268, 11433, 499 ]

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

[ 875, 547, 4194, 2042, 602, 8451, 1282, 519, 1576, 540, 741, 7365, 269, 2107, 835, 23947, 1522, 723, 1945, 789, 1616, 547, 2232, 609, 519, 824, 267, 855, 616, 711, 2386, 875, 547, 979, 827, 621, 269, 769, 891, 2665, 543, 1866, 267, 513, 24468, 666, 948, 1930, 909, 2792, 1063, 596, 563, 2467, 3657, 11153, 18169, 454, 2791, 1058, 917, 602, 972, 616, 811, 3681, 1631, 585, 7365, 13508, 982, 1175, 9361, 538, 513, 4055, 543, 6158, 827, 707, 2042, 269, 6732, 3797, 568, 4742, 811, 543, 811, 2442, 267, 543, 666, 581, 606, 5140, 4781, 585, 1346, 945, 666, 1406, 1265, 606, 5604, 7404, 267, 610, 1346, 945, 991, 513, 811, 8465, 8430, 269, 1403, 596, 723, 513, 11967, 3659, 596, 666, 1312, 1476, 728, 538, 7247, 596, 1589, 786, 581, 31717, 267, 602, 568, 1776, 4781, 269, 3509, 2250, 832, 540, 13039, 786, 849, 2709, 13508, 952, 596, 2307, 563, 2252, 596, 2461, 14126, 827, 1942, 267, 930, 31837, 1734, 798, 3382, 13508, 267, 865, 581, 2386, 547, 1413, 883, 707, 2640, 547, 917, 1018, 4010, 596, 1522, 723, 547, 2628, 269, 6732, 3797, 568, 10097, 267, 543, 596, 666, 1419, 6718, 15004, 540, 7886, 547, 948, 2539, 519, 3902, 269, 1403, 596, 616, 8247, 593, 4543, 707, 7365, 998, 513, 2352, 1974, 267, 596, 1058, 9260, 519, 3790, 540, 3797, 1996, 519, 1942, 540, 711, 3478, 1022, 948, 1700, 663, 602, 1522, 581, 513, 3902, 596, 1810, 1406, 1616, 547, 2628, 563, 7197, 1004, 1491, 585, 11292, 519, 2702, 547, 3533, 543, 18172, 2628, 585, 5370, 610, 2533, 609, 5491, 6486, 267, 32259, 6486, 610, 5985, 3457, 269, 1717, 267, 519, 3157, 3238, 538, 1818, 519, 957, 540, 9878, 865, 4674, 1652, 616, 3833, 4241, 269, 32237, 4066, 2099, 519, 3056, 6316, 540, 1312, 519, 6531, 543, 519, 5769, 540, 12085, 630, 31166, 264, 4867, 10024, 4948, 1272, 269, 13192, 10276, 12574, 1448, 540, 9042, 3301, 3156, 971, 607, 1849, 1478, 623, 5308, 1949, 1683, 519, 2556, 3095, 1063, 4393, 23525, 543, 5121, 547, 2285, 5561, 519, 10375, 543, 2922, 8569, 2409, 789, 7287, 563, 2414, 3398, 11033, 824, 982, 6666, 267, 22278, 1590, 1902, 538, 513, 4062, 540, 8800, 1634, 607, 513, 4393, 12363, 269, 1452, 3457, 267, 799, 1921, 547, 3556, 6868, 685, 8492, 998, 513, 5150, 3060, 267, 7001, 543, 18172, 10141, 2272, 543, 11834, 1239, 269, 634, 29307, 4871, 23607, 519, 1344, 543, 15920, 606, 28431, 610, 24677, 1394, 547, 519, 4393, 12363, 563, 28324, 618, 3301, 2337, 3313, 519, 3432, 693, 799, 519, 12363, 666, 6023, 8852, 269, 31327, 6531, 2861, 3156, 971, 607, 1234, 767, 623, 5308, 610, 1849, 1478, 1450, 519, 946, 540, 1875, 13652, 6463, 4393, 23525, 899, 19503, 6758, 28459, 1540, 609, 3556, 1085, 22395, 269, 1306, 9367, 3136, 547, 1039, 10124, 547, 1312, 3301, 543, 8800, 267, 22278, 543, 5561, 616, 11981, 519, 1082, 2640, 563, 763, 8569, 3435, 2872, 568, 6385, 9687, 607, 1587, 9367, 11441, 547, 2743, 519, 991, 540, 22278, 547, 4196, 519, 16111, 4657, 6208, 543, 7375, 540, 2221, 779, 6800, 563, 2252, 596, 616, 3168, 585, 519, 1318, 623, 5308, 1062, 585, 707, 1870, 267, 519, 8569, 4966, 693, 8585, 31008, 10055, 10298, 11348, 2933, 538, 7674, 782, 2010, 540, 3549, 269, 634, 6109, 849, 3091, 513, 9803, 268, 3433, 10018, 267, 865, 3346, 513, 11347, 2221, 267, 543, 1451, 811, 827, 519, 3681, 602, 616, 2139, 547, 596, 563, 11764, 1067, 538, 8419, 13054, 18519, 2395, 609, 19711, 28323, 543, 4764, 543, 713, 568, 3501, 4365, 585, 10860, 547, 669, 597, 335, 538, 543, 1491, 12062, 538, 2922, 4025, 269, 589, 4775, 18151, 23933, 5798, 543, 4679, 519, 2551, 540, 741, 2146, 1369, 513, 1906, 4374, 269, 14175, 20217, 538, 1585, 10860, 267, 543, 891, 10860, 666, 1118, 1480, 1272, 22946, 269, 3371, 616, 2947, 5013, 827, 4832, 7786, 538, 8419, 912, 1892, 23207, 2338, 540, 19498, 666, 3142, 538, 1585, 3676, 563, 1892, 1358, 666, 2014, 621, 577, 1465, 538, 519, 2960, 543, 7143, 1206, 602, 666, 2490, 538, 547, 30919, 585, 10347, 2960, 2010, 563, 1892, 17018, 10181, 3996, 666, 2482, 476, 1911, 338, 540, 5798, 538, 513, 1747, 607, 6263, 607, 519, 1698, 540, 513, 11480, 563, 1892, 14400, 6770, 538, 30412, 899, 17605, 267, 15483, 30294, 267, 20151, 267, 5127, 12961, 267, 543, 811, 563, 1892, 2290, 666, 1832, 741, 10450, 2973, 543, 4894, 1022, 4990, 540, 1216, 4859, 267, 855, 1287, 835, 3112, 1852, 1018, 12543, 798, 269, 9747, 835, 2115, 547, 1118, 2386, 547, 1491, 3063, 3106, 543, 15416, 563, 9336, 1268, 6499, 547, 723, 513, 31978, 545, 543, 2973, 6197, 269, 4658, 3494, 538, 5329, 741, 10450, 2973, 865, 602, 835, 666, 2057, 1022, 4990, 540, 10860, 610, 30412, 693, 1753, 269, 1809, 607, 4166, 607, 835, 3268, 3544, 519, 2777, 267, 519, 19498, 1376, 24146, 269, 1703, 1522, 581, 17605, 593, 519, 6371, 602, 666, 29097, 3214, 543, 1118, 873, 1964, 1652, 1813, 547, 14021, 21422, 593, 519, 2960, 269, 17018, 10181, 3996, 616, 849, 519, 19057, 540, 1585, 3676, 267, 1498, 930, 540, 873, 723, 2907, 1044, 16701, 5344, 267, 855, 1869, 789, 3142, 538, 8290, 585, 3676, 899, 7178, 20407, 543, 32760, 602, 666, 581, 5739, 585, 3425, 1700, 2523, 3214, 563, 11764, 11302, 616, 519, 942, 585, 7477, 725, 543, 3214, 899, 547, 979, 856, 543, 1404, 269, 9747, 267, 621, 568, 1271, 547, 3406, 585, 608, 32558, 2209, 2282, 596, 945, 666, 798, 11641, 1852, 1472, 519, 2777, 865, 602, 972, 568, 1100, 1129, 540, 1022, 5521, 693, 782, 269, 28814, 1852, 18151, 2126, 568, 5645, 856, 538, 2185, 3268, 269, 634, 608, 32558, 2209, 1101, 8524, 519, 1858, 789, 616, 9277, 547, 960, 593, 543, 2697, 519, 4025, 602, 12958, 10860, 563, 5445, 6146, 519, 4540, 19498, 543, 1287, 1491, 9013, 3800, 602, 2063, 585, 930, 4374, 269, 4495, 519, 19498, 616, 782, 7166, 543, 519, 10024, 540, 1007, 10860, 616, 19275, 267, 789, 1683, 5826, 3028, 1169, 3923, 865, 602, 19498, 666, 2760, 4283, 519, 6098, 1858, 269, 4658, 666, 2972, 3544, 519, 6417, 1858, 1510, 2348, 547, 5855, 827, 519, 17079, 17486, 563, 763, 608, 32558, 2209, 540, 570, 2086, 320, 616, 1134, 3222, 540, 519, 2199, 885, 543, 8754, 666, 1491, 3608, 3268, 2509, 9013, 10860, 269, 1358, 960, 585, 1312, 5010, 543, 10821, 2115, 543, 12247, 16798, 3435, 607, 789, 1376, 741, 1184, 269, 1358, 1256, 2709, 513, 2724, 1394, 10018, 538, 2013, 519, 7817, 1281, 711, 1439, 909, 3478, 606, 3608, 1267, 865, 602, 1004, 666, 3972, 519, 16950, 1652, 3028, 585, 11641, 1852, 543, 18151, 2126, 269, 13966, 609, 5329, 2476, 519, 19498, 267, 789, 849, 960, 547, 1852, 543, 4894, 30412, 267, 5127, 12961, 267, 15483, 30294, 267, 17605, 543, 824, 7320, 602, 616, 5458, 10860, 585, 10821, 2127, 602, 616, 5921, 585, 3425, 563, 2791, 949, 723, 8068, 602, 713, 5816, 814, 1044, 1603, 513, 1297, 540, 9708, 827, 2790, 1072, 25015, 269, 594, 5963, 3494, 602, 972, 814, 2760, 1044, 513, 811, 1271, 942, 585, 1004, 547, 581, 3478, 948, 952, 789, 991, 621, 269, 634, 1297, 540, 4648, 7446, 547, 960, 538, 519, 2790, 1072, 2361, 568, 3395, 267, 799, 568, 2556, 1317, 519, 1297, 540, 2550, 5275, 948, 568, 3395, 1932, 563, 2252, 596, 1589, 596, 2461, 538, 991, 540, 2576, 547, 2911, 547, 267, 621, 949, 581, 942, 547, 3343, 2790, 1072, 13508, 269, 634, 2262, 968, 322, 1735, 1088, 532, 892, 568, 2731, 1175, 513, 3376, 2165, 585, 519, 4758, 543, 8391, 540, 5796, 610, 5583, 269, 4107, 11932, 267, 513, 24468, 3947, 596, 2576, 547, 1476, 728, 538, 950, 621, 2501, 547, 707, 2790, 1072, 563, 288, 24468, 666, 581, 2576, 689, 1022, 540, 1896, 1114, 22825, 1700, 25791, 11832, 267, 13309, 267, 1256, 16895, 616, 2808, 24784, 269, 13689, 593, 707, 4087, 267, 596, 949, 1152, 723, 835, 610, 1896, 3681, 593, 4466, 513, 24468, 602, 779, 1318, 585, 596, 563, 26045, 1072, 13508, 666, 1491, 1082, 3029, 269, 1280, 5176, 1169, 1966, 513, 3461, 949, 723, 267, 972, 568, 2356, 513, 13309, 945, 24870, 538, 621, 269, 2368, 1806, 540, 7463, 13508, 949, 1331, 7365, 13508, 267, 1920, 13508, 267, 610, 3075, 8213, 13508, 269, 1703, 616, 849, 1346, 945, 723, 1978, 1983, 538, 7231, 609, 1453, 610, 2550, 945, 723, 1044, 998, 1978, 911, 30864, 267, 971, 607, 17971, 563, 4415, 865, 1082, 3681, 950, 621, 2501, 547, 4466, 2790, 1072, 13508, 267, 596, 949, 581, 11842, 1141, 547, 1376, 269, 3502, 1279, 3516, 594, 5206, 606, 2376, 827, 875, 596, 666, 2253, 707, 3460, 543, 1265, 519, 1318, 2186, 540, 13309, 585, 596, 269, 6271, 1434, 1259, 547, 1451, 827, 13508, 3681, 568, 3274, 998, 2262, 540, 5023, 269, 5213, 1406, 581, 12922, 547, 2307, 707, 2828, 543, 1920, 952, 789, 917, 4896, 945, 789, 666, 4363, 547, 948, 609, 2790, 1072, 2152, 269, 1452, 2395, 267, 519, 16663, 593, 4466, 543, 3478, 948, 585, 3054, 568, 7168, 1454, 8854, 267, 543, 1034, 1004, 616, 11235, 547, 2671, 741, 7840, 593, 24784, 789, 2648, 269, 898, 786, 849, 948, 547, 917, 596, 616, 711, 4805, 538, 707, 1391, 585, 2790, 8171, 563, 3383, 596, 723, 2097, 547, 519, 3375, 602, 596, 1616, 547, 3343, 948, 609, 1022, 2790, 1072, 2152, 596, 949, 581, 7680, 269, 3689, 540, 782, 267, 596, 1058, 1745, 10583, 602, 596, 2461, 1818, 519, 3903, 547, 11441, 547, 581, 707, 1655, 1582, 269, 1809, 621, 666, 1174, 2406, 581, 11566, 950, 596, 2253, 519, 3406, 547, 1265, 519, 1318, 1826, 540, 8502, 585, 596, 269, 1703, 616, 865, 1082, 5079, 1631, 267, 799, 568, 11613, 513, 1434, 3364, 267, 855, 621, 779, 711, 2141, 2653, 547, 3313, 1141, 547, 1265, 1416, 269, 594, 8910, 899, 547, 1683, 513, 1507, 3391, 547, 948, 596, 1118, 602, 3903, 563, 307, 24688, 2464, 5508, 11550, 4668, 8991, 454, 2414, 1376, 1055, 267, 1175, 519, 16166, 666, 581, 14845, 256, 3245, 16895, 547, 16293, 267, 24784, 547, 24004, 28748, 267, 621, 1522, 581, 2182, 547, 917, 1141, 547, 1376, 269, 3371, 779, 519, 3017, 1063, 7426, 543, 1018, 789, 666, 2709, 596, 563, 268, 5369, 5505, 1700, 17647, 513, 4110, 538, 6530, 269, 1358, 723, 6594, 8965, 543, 7209, 4713, 543, 21911, 269, 1358, 666, 1118, 21904, 855, 666, 1406, 21559, 1022, 6646, 269, 1358, 666, 948, 596, 3313, 513, 1576, 540, 2126, 543, 1018, 707, 1985, 3268, 1522, 581, 563, 268, 5369, 9332, 28748, 1700, 335, 1601, 612, 513, 2564, 4110, 269, 1358, 1810, 1406, 3335, 1683, 3797, 7886, 267, 855, 3079, 2743, 609, 513, 3461, 547, 1865, 1095, 21564, 6527, 563, 268, 26935, 1235, 1700, 4754, 723, 513, 4110, 538, 1585, 4610, 269, 1358, 616, 4712, 547, 948, 596, 2911, 827, 543, 2232, 2042, 543, 4606, 267, 543, 3391, 596, 998, 873, 693, 707, 1378, 10605, 563, 268, 21835, 832, 1700, 1492, 1482, 607, 16293, 855, 2356, 789, 13404, 593, 835, 20614, 610, 1776, 267, 1775, 4318, 269, 7365, 13508, 267, 1920, 13508, 267, 3092, 269, 13518, 899, 16895, 789, 666, 948, 596, 2708, 2042, 543, 1246, 513, 1544, 540, 2962, 563, 295, 8582, 9215, 8863, 302, 5308, 292, 454, 3080, 540, 519, 1101, 3268, 596, 786, 1616, 547, 1491, 568, 10992, 1018, 4010, 707, 6142, 786, 3382, 269, 3509, 31837, 1734, 786, 1152, 723, 513, 1978, 1297, 540, 1142, 1826, 540, 8502, 538, 3060, 269, 898, 779, 909, 547, 596, 547, 4137, 856, 952, 596, 616, 2111, 547, 6488, 547, 979, 538, 610, 856, 540, 3060, 585, 707, 3795, 269, 2142, 3222, 602, 2790, 1072, 2152, 1419, 2154, 2789, 11564, 547, 4308, 609, 267, 865, 1942, 1522, 581, 835, 540, 519, 1034, 1271, 2188, 563, 5629, 596, 4076, 3893, 707, 1592, 267, 1376, 10912, 1472, 269, 1411, 991, 547, 1294, 945, 568, 2921, 1007, 2550, 269, 901, 666, 581, 513, 2370, 771, 24711, 2287, 693, 2053, 1317, 621, 4667, 602, 1100, 835, 814, 606, 6679, 547, 9290, 596, 267, 855, 1810, 1406, 2285, 909, 269, 3038, 11107, 666, 1152, 1491, 865, 1454, 540, 513, 3461, 4452, 543, 1369, 513, 2110, 2179, 540, 942, 972, 949, 1831, 606, 6679, 2139, 693, 707, 6074, 8502, 563, 2252, 596, 2661, 538, 513, 811, 6917, 1858, 267, 596, 1522, 723, 513, 811, 3908, 1592, 547, 3442, 689, 269, 594, 917, 594, 993, 538, 513, 1507, 4884, 543, 519 ]

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

[ 538, 2470, 267, 891, 29529, 26642, 616, 2938, 607, 513, 10770, 4466, 593, 1965, 15047, 2762, 269, 630, 3607, 994, 305, 532, 539, 24647, 540, 552, 28009, 30858, 1965, 15047, 4345, 454, 2026, 5941, 4505, 267, 2550, 609, 552, 28009, 30858, 1965, 15047, 4345, 949, 1020, 10058, 8258, 3697, 25034, 725, 630, 27271, 2404, 609, 513, 17122, 7453, 675, 610, 27556, 1965, 23569, 32560, 1070, 6721, 513, 8258, 539, 24647, 630, 5408, 7612, 476, 1626, 1040, 630, 4097, 264, 2755, 519, 31630, 540, 519, 14034, 568, 7164, 267, 713, 5920, 1058, 581, 3810, 2303, 633, 540, 552, 28009, 30858, 1965, 15047, 4345, 267, 3226, 538, 1762, 2367, 609, 1279, 29280, 7988, 874, 698, 807, 267, 20443, 1426, 1764, 687, 267, 543, 513, 1686, 540, 11959, 610, 10447, 563, 263, 272, 4700, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 269, 15302, 540, 519, 24647, 281, 23369, 609, 1965, 15047, 2762, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26801, 281, 29300, 268, 275, 2767, 563, 263, 273, 4700, 3400, 345, 1014, 328, 700, 267, 19594, 17844, 594, 267, 7931, 1725, 10008, 589, 267, 1696, 620, 269, 19043, 540, 27556, 30704, 640, 543, 12162, 983, 640, 540, 519, 1965, 23569, 11940, 6242, 693, 5595, 9762, 2858, 10237, 2762, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 276, 282, 1015, 281, 272, 268, 277, 563, 263, 274, 4700, 667, 756, 1076, 595, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 24544, 540, 17406, 1965, 15047, 4345, 593, 5595, 9762, 2858, 1965, 15047, 2449, 543, 1439, 22000, 1210, 519, 1277, 11043, 4681, 607, 519, 4154, 3044, 269, 2806, 3256, 24919, 269, 476, 1220, 275, 282, 3066, 281, 275, 2641, 268, 28883, 563, 263, 275, 4700, 23821, 710, 9049, 267, 5839, 2158, 589, 297, 267, 700, 879, 2536, 594, 269, 15443, 5866, 1965, 15047, 4345, 281, 6452, 5596, 540, 10237, 4919, 5868, 269, 7101, 5735, 269, 476, 2735, 276, 282, 15150, 281, 6812, 272, 268, 6812, 278, 563, 263, 276, 4700, 23821, 710, 9049, 269, 29956, 1965, 15047, 4345, 269, 12054, 514, 10162, 550, 2102, 565, 269, 476, 1960, 275, 282, 3066, 281, 30130, 268, 12573, 563, 263, 277, 4700, 717, 1030, 614, 654, 289, 267, 700, 879, 2536, 594, 267, 3798, 749, 590, 267, 3619, 3559, 966, 298, 269, 15443, 573, 15633, 538, 519, 29572, 539, 24647, 269, 7101, 5735, 269, 476, 2735, 272, 282, 15946, 281, 1839, 268, 2764, 563, 263, 278, 4700, 717, 5585, 19301, 267, 1855, 680, 1157, 27699, 267, 7108, 7322, 808, 267, 1696, 620, 269, 31946, 322, 8328, 1035, 13183, 2670, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 273, 282, 16928, 281, 6924, 274, 268, 277, 6434, 563, 263, 279, 4700, 10557, 267, 9399, 267, 12794, 670, 330, 267, 1635, 684, 808, 295, 267, 1696, 620, 269, 8111, 325, 2772, 1965, 23569, 2860, 281, 10507, 15047, 4919, 4681, 17047, 609, 1277, 13771, 11043, 4681, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26951, 281, 276, 3374, 268, 276, 4510, 563, 263, 280, 4700, 898, 2967, 962, 267, 918, 690, 675, 570, 267, 21411, 8500, 4821, 962, 267, 589, 7288, 344, 4821, 670, 269, 5262, 2224, 29656, 12162, 983, 15087, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 3192, 278, 282, 12553, 281, 6321, 274, 268, 276, 5780, 563, 263, 1015, 4700, 13535, 595, 267, 23821, 710, 9049, 267, 700, 879, 2536, 594, 269, 3752, 3202, 21385, 538, 17406, 1965, 15047, 4345, 281, 30521, 4919, 4681, 269, 2806, 3256, 24919, 269, 476, 1960, 278, 282, 2420, 281, 276, 268, 278, 563, 263, 1556, 4700, 23821, 710, 9049, 267, 700, 879, 2536, 594, 267, 918, 637, 1088, 32518, 267, 17054, 2006, 32518, 269, 4173, 6647, 1965, 15047, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 272, 282, 15793, 281, 279, 8287, 268, 279, 5780, 563, 263, 1321, 4700, 23821, 710, 9049, 267, 700, 4141, 341, 1676, 15829, 267, 590, 4954, 15562, 267, 1696, 620, 269, 4173, 6647, 1965, 15047, 4345, 281, 11576, 6638, 540, 5595, 9762, 2858, 1965, 15047, 2762, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 279, 282, 14681, 281, 6872, 268, 7830, 563, 263, 1724, 4700, 1744, 2176, 23932, 557, 631, 297, 267, 23821, 710, 9049, 269, 4173, 6647, 1965, 15047, 4345, 538, 6382, 2635, 2550, 281, 11916, 543, 10237, 4919, 4681, 269, 7101, 5735, 269, 476, 1960, 273, 282, 9264, 281, 5952, 280, 268, 279, 8618, 563, 263, 1691, 4700, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 700, 879, 2536, 594, 269, 645, 10740, 1965, 15047, 2762, 281, 589, 1353, 585, 782, 12405, 269, 7885, 30887, 10938, 565, 22031, 520, 565, 269, 476, 1220, 279, 282, 277, 281, 1556, 268, 1839, 563, 263, 1428, 4700, 3619, 3559, 966, 267, 7043, 645, 310, 267, 6762, 614, 717, 269, 589, 874, 628, 748, 21385, 538, 519, 24647, 609, 15867, 18255, 897, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 272, 282, 15389, 281, 279, 7761, 268, 9262, 274, 563, 263, 1626, 4700, 26440, 787, 572, 15679, 267, 1546, 2480, 515, 3899, 7537, 269, 589, 874, 628, 1355, 1965, 23569, 21385, 538, 15867, 18255, 781, 2068, 540, 476, 850, 636, 543, 3935, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 275, 282, 280, 281, 3192, 268, 1001, 563, 263, 1704, 4700, 589, 7219, 590, 267, 16515, 325, 534, 674, 267, 13391, 1002, 717, 267, 1696, 620, 269, 7261, 339, 727, 6549, 21552, 1965, 15047, 4345, 10511, 18469, 609, 6375, 657, 6269, 1833, 538, 11361, 9649, 1591, 12091, 4345, 2550, 269, 28544, 7885, 5890, 1763, 269, 476, 1001, 274, 282, 1839, 281, 21497, 268, 25908, 563, 263, 1240, 4700, 7720, 657, 580, 674, 267, 24162, 654, 299, 269, 10507, 15047, 4345, 1282, 6375, 657, 6269, 1833, 269, 2098, 28039, 15436, 565, 269, 476, 1001, 273, 282, 10170, 281, 30444, 268, 27628, 563, 263, 866, 4700, 674, 773, 6921, 631, 267, 15168, 4226, 345, 589, 267, 12821, 9508, 589, 267, 1696, 620, 269, 18401, 689, 18328, 309, 1965, 15047, 4345, 1310, 782, 10942, 545, 5642, 20768, 24328, 1210, 1875, 2173, 344, 601, 334, 629, 331, 894, 14555, 281, 634, 1909, 540, 6375, 657, 6269, 1833, 269, 808, 7885, 22870, 1503, 269, 476, 1220, 276, 282, 4097, 281, 25546, 268, 23417, 563, 263, 736, 4700, 15887, 2940, 1188, 700, 267, 7377, 990, 545, 631, 267, 717, 691, 1676, 590, 267, 1696, 620, 269, 26590, 7486, 3968, 9306, 609, 11213, 24948, 543, 1965, 23569, 21385, 269, 808, 24717, 269, 476, 1960, 271, 282, 28091, 281, 23211, 279, 268, 22446, 273, 563, 263, 2641, 4700, 29813, 590, 267, 23821, 710, 9049, 267, 918, 578, 1023, 7288, 23140, 267, 1696, 620, 269, 27951, 21385, 540, 519, 24647, 538, 2550, 609, 1480, 6375, 32759, 3644, 281, 11916, 267, 10237, 4919, 267, 543, 2619, 11043, 4681, 269, 7101, 5735, 269, 476, 1960, 276, 282, 3707, 281, 4510, 278, 268, 26493, 563, 263, 2420, 4700, 23821, 710, 9049, 267, 10753, 2075, 615, 717, 267, 15576, 345, 6390, 21096, 267, 1696, 620, 269, 27951, 267, 1480, 6375, 32759, 3644, 5829, 21385, 538, 519, 24647, 269, 7101, 5735, 269, 476, 1960, 272, 282, 5197, 281, 26825, 268, 30444, 563, 263, 2537, 4700, 2098, 690, 571, 325, 657, 717, 301, 267, 9677, 328, 611, 537, 667, 267, 7338, 667, 267, 1696, 620, 269, 10684, 14001, 1965, 15047, 4345, 269, 2598, 10507, 20652, 269, 476, 1220, 280, 282, 2420, 281, 277, 3451, 268, 277, 4391, 563, 263, 2190, 4700, 23821, 710, 9049, 267, 681, 1054, 7322, 28251, 267, 700, 879, 2536, 594, 269, 27951, 1965, 23569, 22377, 1813, 547, 7885, 528, 559, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1960, 272, 282, 14444, 281, 280, 4649, 268, 4817, 277, 563, 263, 1839, 4700, 24138, 808, 300, 267, 22398, 8124, 623, 267, 24138, 22720, 267, 16334, 11839, 11553, 269, 1325, 754, 1258, 622, 14001, 1965, 15047, 4345, 281, 8865, 1867, 540, 513, 5063, 6444, 1106, 540, 4049, 1965, 15047, 4345, 609, 1965, 23569, 7453, 675, 734, 2784, 328, 4919, 2934, 269, 7101, 5735, 269, 476, 1960, 279, 282, 18684, 281, 4343, 280, 268, 4375, 272, 563, 263, 2918, 4700, 23821, 710, 9049, 269, 4446, 21884, 24647, 281, 9337, 585, 10237, 5505, 269, 2806, 3256, 24919, 269, 476, 1220, 276, 282, 1789, 281, 15836, 268, 15221, 563, 263, 2767, 4700, 23821, 710, 9049, 267, 631, 944, 1084, 667, 301, 267, 4173, 1782, 518, 670, 267, 700, 879, 2536, 594, 269, 10507, 23569, 703, 1090, 1116, 15554, 617, 1853, 6776, 592, 2670, 281, 589, 556, 24834, 6672, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 277, 282, 15704, 281, 14138, 276, 268, 14056, 271, 563, 263, 2764, 4700, 700, 4240, 339, 651, 623, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 30521, 11043, 5868, 540, 22480, 1965, 23569, 7453, 999, 281, 589, 4806, 1935, 269, 15571, 20877, 923, 269, 476, 1220, 274, 282, 2537, 281, 8660, 278, 268, 3445, 280, 563, 263, 3066, 4700, 932, 334, 22804, 267, 9995, 619, 27493, 267, 25306, 10790, 267, 1696, 620, 269, 10507, 23569, 703, 1090, 1116, 15554, 617, 1853, 6776, 592, 2670, 269, 30887, 842, 652, 7101, 2723, 269, 476, 2735, 272, 282, 277, 281, 280, 268, 1626, 563, 263, 1789, 4700, 6875, 10202, 670, 267, 772, 523, 334, 808, 267, 715, 880, 527, 8643, 670, 269, 661, 551, 8084, 23441, 11940, 6242, 538, 519, 5580, 24647, 281, 2776, 28700, 543, 10237, 11043, 4681, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1960, 276, 282, 13932, 281, 3445, 272, 268, 3445, 275, 563, 263, 4029, 4700, 2871, 24473, 590, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 2422, 6888, 540, 536, 10740, 2090, 585, 1114, 11868, 22480, 543, 23872, 7453, 999, 540, 519, 24647, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1220, 274, 282, 5197, 281, 278, 4391, 268, 278, 4510, 563, 263, 3953, 4700, 23849, 559, 641, 9567, 657, 590, 267, 32298, 623, 267, 30080, 8538, 778, 589, 267, 1696, 620, 269, 634, 1507, 23343, 9200, 24647, 281, 1323, 796, 1952, 3285, 730, 2014, 540, 7988, 874, 698, 807, 585, 17571, 538, 2550, 609, 552, 28009, 30858, 1965, 15047, 4345, 269, 30887, 842, 652, 7736, 8113, 269, 476, 1220, 273, 282, 4649, 281, 4200, 268, 11793, 563, 263, 3451, 4700, 6519, 590, 289, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 634, 1507, 23343, 9200, 24647, 281, 30521, 4919, 1129, 540, 7329, 11340, 987, 545, 552, 28009, 30858, 1965, 15047, 4345, 269, 7101, 5735, 269, 476, 1001, 271, 282, 16348, 281, 14096, 268, 16328, 563, 263, 4097, 4700, 2098, 20810, 2006, 20793, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 594, 10972, 24403, 552, 28009, 30858, 1965, 15047, 4345, 538, 4079, 281, 634, 8258, 539, 24647, 269, 7101, 5735, 269, 476, 1220, 276, 282, 26951, 281, 476, 14689, 268, 13679, 563, 263, 3374, 4700, 6341, 14508, 674, 267, 23821, 710, 9049, 267, 11676, 525, 514, 10323, 267, 1696, 620, 269, 674, 5202, 24647, 543, 12884, 525, 23569, 17406, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 1001, 271, 282, 3707, 281, 280, 7761, 268, 9032, 277, 563, 263, 3607, 4700, 23821, 710, 9049, 267, 7108, 7322, 32518, 269, 674, 12089, 29529, 26642, 538, 519, 24647, 281, 589, 1129, 540, 17406, 1965, 15047, 4345, 269, 589, 297, 305, 2549, 808, 10162, 550, 2102, 565, 269, 476, 2735, 275, 282, 16960, 281, 22550, 268, 30116, 563, 13731, 710, 661, 269, 3798, 24325, 267, 11022, 282, 543, 16205, 590, 269, 23821, 710, 267, 11022, 454, 7804, 269, 3798, 24325, 543, 3220, 269, 23821, 710, 616, 10237, 5505, 538, 519, 4972, 540, 7101, 5735, 267, 11233, 540, 519, 2160, 540, 12425, 267, 15740, 267, 13698, 269, 3220, 269, 23821, 710, 568, 513, 4759, 540, 519, 28007, 4604, 540, 11930, 7101, 5735, 563, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 12041, 10573, 10955, 24325, 267, 2441, 710, 661, 5919, 23821, 710, 267, 16205, 590, 8198, 347, 20684, 7392, 10573, 32747, 1867, 2008, 347, 14630, 10573, 13202, 476, 272, 267, 476, 1001 ]

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

[ 1717, 267, 950, 513, 2048, 22474, 321, 685, 15185, 609, 513, 2048, 25669, 344, 328, 685, 1695, 685, 630, 314, 643, 8079, 7133, 2576, 3116, 267, 2612, 1828, 3587, 19585, 281, 519, 4636, 539, 1268, 814, 547, 31799, 721, 1101, 2336, 3383, 713, 568, 711, 827, 1022, 2048, 342, 3994, 4777, 532, 685, 593, 519, 21024, 779, 851, 267, 855, 2864, 827, 1022, 2048, 516, 704, 322, 15664, 685, 646, 1522, 723, 1303, 9229, 563, 13425, 476, 1015, 2427, 8386, 20933, 16627, 543, 4063, 912, 5278, 2161, 2048, 22474, 321, 685, 616, 2048, 325, 5435, 338, 685, 630, 312, 639, 18860, 18498, 543, 17124, 1306, 611, 3769, 1916, 8448, 338, 2161, 789, 616, 21359, 563, 22552, 20315, 12239, 2705, 267, 568, 1018, 631, 269, 670, 269, 1744, 752, 597, 5206, 912, 2108, 6546, 16589, 949, 31799, 707, 2146, 741, 2250, 24966, 543, 1346, 547, 1246, 543, 2347, 3571, 3870, 547, 596, 543, 1832, 596, 593, 513, 1318, 1259, 267, 630, 300, 269, 670, 269, 1744, 752, 597, 994, 7312, 2048, 4596, 12613, 7419, 14510, 286, 5990, 7644, 24966, 286, 1703, 616, 1100, 971, 1913, 538, 519, 12428, 267, 6862, 616, 789, 29742, 539, 689, 519, 2796, 563, 296, 14353, 602, 713, 3705, 614, 1223, 711, 32230, 540, 519, 21024, 2348, 1022, 2048, 325, 5435, 338, 685, 610, 2048, 1260, 2466, 1154, 1022, 21359, 16224, 8754, 519, 703, 28424, 1913, 269, 1809, 646, 1058, 723, 2322, 873, 1063, 23049, 267, 2864, 982, 1533, 602, 2696, 1767, 873, 563, 32091, 24153, 281, 27190, 1389, 786, 581, 1500, 1100, 2339, 875, 6297, 649, 616, 267, 865, 623, 4041, 17955, 1448, 856, 547, 803, 1022, 540, 9553, 799, 596, 13182, 630, 12898, 707, 1378, 1382, 1040, 594, 8910, 581, 552, 27238, 18507, 547, 596, 563, 275, 269, 2048, 2171, 723, 8118, 585, 596, 513, 8915, 270, 5271, 1211, 14956, 2287, 563, 3383, 602, 2696, 1131, 2612, 9876, 596, 540, 1022, 1991, 543, 2663, 1234, 704, 322, 15664, 267, 543, 11886, 2390, 596, 3571, 674, 2948, 267, 543, 3391, 1315, 326, 3424, 596, 513, 18135, 697, 2989, 2619, 269, 630, 314, 341, 7481, 763, 13458, 15521, 729, 540, 18678, 2956, 269, 898, 729, 519, 4259, 538, 799, 12271, 543, 8186, 3459, 547, 1930, 269, 769, 942, 267, 621, 19658, 519, 20106, 540, 2696, 779, 674, 2948, 20324, 870, 344, 2507, 543, 1305, 1004, 593, 519, 11461, 1576, 2509, 519, 18135, 697, 2989, 11202, 563, 8248, 864, 1058, 2760, 581, 4503, 8289, 540, 269, 13458, 1058, 581, 513, 5617, 773, 591, 779, 3804, 267, 909, 18988, 693, 782, 2053, 267, 609, 15683, 543, 5126, 563, 8248, 864, 568, 693, 519, 4295, 540, 7607, 267, 2208, 267, 11606, 267, 2648, 267, 8788, 267, 4656, 267, 543, 8171, 563, 8248, 864, 568, 938, 28551, 547, 519, 1158, 281, 2048, 306, 8403, 600, 592, 268, 700, 1695, 328, 513, 2917, 330, 636, 16224, 2048, 9802, 2696, 779, 13458, 581, 2390, 596, 782, 256, 20371, 5978, 1985, 7335, 568, 689, 670, 304, 476, 4366, 281, 275, 268, 1626, 563, 5804, 17124, 1306, 611, 912, 10527, 570, 16078, 540, 21972, 599, 6798, 344, 344, 1695, 729, 547, 6961, 540, 519, 6574, 2956, 547, 519, 2104, 540, 5771, 269, 1280, 519, 1101, 942, 538, 3670, 1296, 12560, 17066, 941, 3964, 1063, 2725, 17433, 543, 2405, 2088, 267, 543, 3976, 519, 1259, 729, 8118, 547, 519, 21774, 540, 9099, 2093, 883, 519, 3632, 12818, 540, 26768, 25384, 1143, 269, 634, 2725, 764, 753, 945, 1185, 8317, 547, 3643, 519, 7332, 3786, 693, 21972, 599, 6798, 344, 344, 1695, 8120, 7184, 24330, 676, 519, 6891, 543, 519, 9322, 540, 17124, 781, 13794, 267, 543, 1082, 540, 873, 3459, 547, 3649, 591, 538, 741, 29383, 2509, 519, 5132, 840, 3737, 676, 1864, 269, 1306, 4166, 607, 519, 21064, 13137, 3357, 547, 606, 1439, 543, 1004, 540, 1312, 5011, 1223, 2743, 11884, 267, 1007, 17838, 678, 718, 1221, 1472, 519, 21024, 267, 1101, 538, 9937, 267, 1287, 538, 7366, 267, 1287, 538, 5215, 910, 865, 1454, 865, 602, 950, 519, 25384, 2372, 7590, 327, 13264, 519, 1854, 576, 1079, 1296, 1310, 922, 10390, 267, 519, 21024, 1223, 543, 1705, 19582, 2725, 17433, 3592, 1510, 4187, 269, 4935, 267, 538, 1249, 952, 711, 538, 5920, 267, 519, 570, 16078, 540, 21972, 599, 6798, 344, 344, 1695, 721, 22363, 538, 519, 5837, 543, 2797, 11802, 540, 5771, 936, 782, 17936, 3034, 8450, 2407, 7300, 268, 20801, 1524, 547, 2048, 293, 677, 344, 7232, 12915, 2672, 571, 2507, 621, 779, 966, 28475, 4277, 2336, 18716, 28405, 8294, 12022, 281, 476, 28519, 20254, 404, 511, 20254, 24291, 24220, 8294, 24220, 18247, 476, 15906, 404, 374, 18716, 14507, 18247, 20901, 476, 28519, 20254, 404, 511, 8294, 405, 489, 269, 12168, 360, 14534, 18247, 405, 495, 476, 18716, 404, 511, 14534, 12022, 12168, 373, 12022, 405, 487, 476, 20901, 404, 364, 8294, 12168, 367, 8294, 404, 355, 14507, 405, 493, 27755, 8294, 476, 28519, 18716, 476, 20901, 404, 364, 8294, 24291, 24220, 14180, 8294, 404, 350, 563, 15906, 8294, 12022, 28519, 18247, 20254, 404, 511, 281, 24291, 14534, 8294, 404, 350, 476, 18716, 18247, 404, 362, 14507, 405, 493, 404, 361, 27755, 14180, 12168, 373, 18716, 14180, 405, 491, 12168, 352, 15906, 12168, 374, 18716, 14507, 20901, 8294, 269, 476, 15906, 8294, 12022, 28519, 18247, 20254, 405, 496, 404, 511, 269, 24291, 14180, 18247, 405, 495, 404, 369, 14507, 476, 15906, 8294, 12022, 404, 354, 404, 372, 28519, 8294, 14507, 269, 476, 15906, 8294, 25078, 20254, 28519, 20254, 404, 511, 20254, 281, 18457, 25078, 20254, 18247, 14180, 405, 496, 404, 369, 18247, 14507, 20254, 563, 14154, 19781, 568, 10911, 308, 18426, 585, 717, 4629, 310, 8025, 563, 2171, 723, 2907, 5941, 17607, 267, 799, 568, 938, 5207, 6418, 3804, 269, 9453, 2558, 534, 638, 1006, 270, 590, 820, 523, 1695, 972, 666, 581, 1100, 2208, 538, 17607, 269, 11569, 267, 607, 649, 723, 5018, 4505, 267, 519, 6587, 540, 17607, 568, 10691, 2048, 684, 10277, 1145, 19028, 3383, 875, 666, 649, 1332, 538, 2048, 10277, 1145, 685, 950, 972, 568, 1100, 4708, 888, 763, 6587, 540, 17607, 568, 20548, 1833, 269, 2290, 666, 1152, 581, 1459, 538, 519, 9000, 540, 519, 824, 563, 19894, 22419, 281, 5457, 519, 1650, 540, 519, 1079, 14930, 540, 14088, 267, 2048, 290, 664, 543, 2806, 601, 16224, 519, 20548, 31395, 543, 519, 589, 2264, 563, 6124, 22419, 281, 10925, 2048, 3279, 336, 11445, 579, 323, 11445, 534, 685, 538, 2048, 15507, 713, 13505, 19028, 2467, 568, 865, 1454, 32659, 538, 519, 1158, 2221, 267, 543, 782, 5011, 1745, 2048, 342, 3994, 539, 16224, 1247, 538, 4641, 649, 616, 782, 4636, 532, 6000, 269, 594, 3858, 609, 519, 6031, 602, 4422, 912, 8072, 4910, 550, 618, 568, 519, 8914, 596, 4235, 267, 1247, 15691, 621, 786, 6146, 707, 10546, 19028, 4517, 1287, 972, 616, 865, 1082, 6013, 256, 4658, 616, 14084, 2451, 543, 1318, 827, 519, 15878, 685, 534, 543, 827, 1142, 824, 269, 594, 1745, 20994, 585, 971, 7606, 269, 769, 513, 11830, 2772, 1533, 513, 1268, 666, 2760, 1332, 538, 17607, 269, 4658, 779, 6013, 1397, 1141, 789, 1796, 267, 711, 1152, 607, 595, 1758, 714, 656, 18972, 267, 855, 849, 607, 28288, 540, 741, 1378, 18321, 799, 15081, 9529, 18266, 543, 9607, 519, 29763, 538, 1022, 1893, 563, 32091, 24153, 281, 3143, 2339, 875, 25981, 513, 2048, 8248, 864, 5174, 4265, 518, 685, 7959, 267, 521, 270, 515, 3112, 6707, 2232, 8954, 633, 2152, 1510, 1620, 519, 15878, 685, 534, 2507, 799, 2306, 594, 336, 337, 7752, 577, 718, 3188, 540, 24315, 4456, 5495, 18199, 2956, 2221, 563, 314, 643, 316, 589, 2048, 25669, 344, 328, 685, 1695, 685, 568, 513, 3983, 2048, 1372, 539, 685, 8149, 1996, 1866, 563, 2108, 2507, 4263, 713, 1448, 538, 942, 270, 10472, 1554, 519, 9324, 4536, 723, 16339, 8529, 540, 707, 9208, 540, 10055, 1464, 12168, 363, 18716, 14180, 405, 481, 14534, 630, 572, 4370, 922, 9860, 543, 16523, 1070, 865, 798, 711, 3180, 873, 538, 25713, 267, 855, 1796, 538, 25713, 540, 2725, 282, 593, 713, 1554, 594, 723, 4547, 547, 12032, 265, 585, 596, 267, 707, 9208, 540, 10055, 1464, 267, 543, 594, 723, 24009, 2390, 596, 267, 1250, 674, 2948, 267, 543, 594, 723, 9516, 267, 585, 596, 267, 8830, 640, 538, 32672, 5270, 270, 5771, 607, 513, 9208, 540, 10055, 1464, 2507, 892 ]

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

[ 2273, 548, 646, 6854, 621, 538, 5728, 865, 922, 9589, 7060, 1131, 2149, 1864, 689, 519, 5682, 26427, 269, 717, 1177, 664, 4166, 4121, 602, 1010, 25796, 1145, 543, 4250, 666, 25010, 1010, 5837, 454, 2691, 519, 7083, 645, 23459, 752, 610, 519, 3039, 27585, 267, 8483, 1161, 717, 1177, 664, 585, 713, 5609, 646, 23465, 267, 968, 10190, 646, 10544, 5523, 519, 575, 2273, 548, 543, 796, 326, 9312, 922, 24516, 543, 454, 294, 1177, 664, 267, 945, 1185, 13351, 513, 4308, 609, 519, 18459, 547, 21704, 782, 1919, 646, 4607, 1282, 1010, 3251, 538, 519, 18459, 779, 23029, 267, 14543, 547, 798, 865, 538, 519, 2012, 540, 1582, 25535, 3569, 269, 634, 18459, 779, 7385, 13344, 11184, 717, 1177, 664, 513, 3039, 521, 1662, 15555, 1819, 547, 2149, 922, 4865, 528, 689, 2168, 2800, 269, 717, 1177, 664, 267, 11291, 532, 1010, 17149, 5870, 609, 519, 5682, 26427, 267, 16976, 547, 17591, 1010, 6876, 609, 519, 18459, 543, 968, 327, 573, 314, 525, 316, 621, 2476, 689, 782, 3946, 543, 4064, 892, 630, 18118, 476, 6942, 276, 1040, 3571, 3375, 1025, 520, 14688, 26991, 519, 669, 2526, 9317, 3009, 267, 968, 325, 9430, 513, 5837, 1449, 538, 3858, 532, 547, 12404, 519, 575, 2273, 548, 689, 519, 9393, 267, 609, 7247, 646, 814, 519, 1991, 11460, 547, 5385, 3094, 11789, 892, 630, 26156, 476, 280, 1040, 11184, 717, 1177, 664, 771, 637, 4624, 519, 18459, 7247, 729, 8027, 1864, 950, 646, 4956, 547, 1832, 519, 521, 1662, 513, 5728, 269, 901, 3375, 849, 17591, 539, 1010, 522, 987, 547, 3717, 5168, 693, 782, 2053, 1317, 646, 1705, 711, 30035, 1010, 10516, 519, 18459, 267, 543, 4061, 18549, 561, 1221, 547, 519, 18459, 269, 11184, 717, 1177, 664, 14543, 547, 27481, 519, 669, 2526, 9317, 3009, 998, 1010, 3922, 1436, 585, 1582, 25535, 3569, 936, 26621, 1010, 7029, 547, 8284, 454, 763, 5682, 26427, 3365, 7596, 539, 11184, 717, 1177, 664, 585, 2713, 909, 547, 1010, 1439, 540, 519, 20476, 664, 269, 634, 5682, 26427, 2220, 2426, 7466, 693, 717, 1177, 664, 779, 8405, 543, 519, 1101, 942, 717, 1177, 664, 1166, 514, 3481, 543, 519, 2034, 942, 519, 5682, 26427, 11074, 1318, 1354, 1010, 8405, 269, 634, 3791, 942, 519, 5682, 26427, 23638, 519, 4949, 324, 543, 9397, 519, 2960, 855, 3085, 1405, 1232, 777, 10028, 717, 1177, 664, 269, 6904, 3366, 547, 519, 5682, 26427, 7713, 547, 717, 1177, 664, 602, 646, 568, 2965, 519, 1482, 18459, 540, 519, 14500, 1141, 717, 1177, 664, 6170, 1010, 14812, 269, 634, 1101, 1079, 9514, 338, 267, 646, 6811, 267, 941, 538, 2132, 585, 519, 1259, 717, 1177, 664, 8120, 519, 21098, 525, 540, 1010, 7385, 267, 1739, 519, 3652, 540, 741, 3014, 607, 606, 9237, 812, 1058, 269, 634, 3791, 9514, 267, 646, 3081, 267, 729, 585, 717, 1177, 664, 779, 5821, 547, 2132, 519, 3039, 575, 2273, 548, 547, 1864, 593, 519, 2063, 1554, 269, 1809, 1317, 717, 1177, 664, 779, 17528, 729, 1152, 1317, 646, 4941, 547, 4688, 1010, 1272, 267, 543, 711, 1317, 646, 781, 1175, 31081, 22789, 267, 519, 5682, 26427, 8483, 1161, 1864, 269, 1261, 3762, 717, 1177, 664, 609, 1152, 513, 10077, 543, 513, 575, 2273, 548, 607, 513, 12576, 540, 1010, 1360, 1480, 5609, 269, 717, 1177, 664, 7024, 547, 3751, 14880, 779, 5480, 782, 11849, 3139, 543, 8909, 602, 646, 779, 8959, 513, 1449, 540, 8956, 676, 609, 3835, 532, 519, 3039, 575, 2273, 548, 689, 11184, 645, 23459, 752, 856, 540, 513, 7287, 547, 8190, 1010, 1378, 1272, 269, 1261, 7959, 899, 646, 779, 8959, 538, 1010, 10279, 607, 513, 27585, 543, 1577, 3025, 1524, 269, 12344, 267, 811, 11932, 267, 646, 779, 4121, 602, 646, 779, 711, 3501, 543, 2760, 786, 581, 269, 1261, 6941, 547, 519, 2898, 5480, 602, 646, 4566, 547, 5957, 519, 575, 2273, 548, 11014, 607, 513, 12576, 540, 1010, 17528, 267, 1317, 834, 320, 812, 949, 12404, 1010, 3765, 1372, 539, 267, 855, 2760, 32135, 621, 267, 585, 1141, 2899, 621, 3217, 3597, 519, 12962, 666, 2760, 581, 24850, 2668, 1809, 3079, 540, 1373, 5265, 865, 321, 1229, 267, 519, 2898, 5480, 14902, 338, 693, 717, 1177, 664, 779, 1913, 543, 23216, 602, 3025, 538, 5480, 786, 5957, 513, 2147, 575, 2273, 548, 585, 717, 1177, 664, 779, 454, 293, 5435, 543, 25863, 269, 1548, 798, 891, 1079, 1913, 2731, 798, 538, 938, 2729, 286, 1684, 789, 2285, 721, 1776, 4960, 610, 616, 789, 1175, 2035, 602, 649, 1616, 547, 1246, 286, 769, 519, 1158, 649, 2661, 538, 267, 835, 13337, 666, 1419, 1118, 610, 2736, 1945, 538, 938, 2729, 267, 855, 950, 11292, 609, 25863, 267, 649, 1810, 1406, 2141, 1491, 621, 607, 12517, 607, 2877, 543, 4166, 938, 13337, 3587, 2576, 3116, 779, 11348, 269, 11184, 717, 1177, 664, 779, 24966, 666, 581, 513, 3586, 12576, 540, 519, 9073, 649, 782, 1118, 607, 3425, 2059, 609, 519, 10839, 267, 968, 2005, 568, 2312, 1287, 602, 972, 666, 581, 1100, 25863, 1510, 13337, 267, 1175, 607, 835, 568, 8572, 547, 2132, 689, 24815, 1510, 1101, 1373, 2366, 883, 835, 269, 2290, 779, 4502, 568, 1152, 865, 1454, 3152, 1310, 513, 2132, 689, 513, 2887, 267, 2094, 952, 835, 568, 16950, 1652, 267, 835, 814, 4986, 547, 2744, 543, 4061, 4986, 454, 2026, 606, 16869, 2829, 267, 968, 290, 761, 923, 2015, 519, 11015, 540, 519, 6249, 513, 2101, 10697, 540, 11184, 717, 1177, 664, 543, 519, 5682, 26427, 543, 789, 3136, 547, 7521, 2436, 519, 1483, 1449, 729, 1018, 5949, 693, 16836, 670, 2246, 9188, 1068, 2864, 982, 519, 5385, 540, 9514, 338, 267, 607, 1134, 607, 2436, 267, 6368, 267, 717, 1177, 664, 5293, 610, 8959, 519, 4255, 892, 630, 12218, 673, 543, 19744, 9085, 29576, 1040, 634, 2601, 519, 13915, 2161, 713, 568, 1317, 789, 1294, 602, 519, 1483, 610, 7654, 519, 1483, 1449, 729, 950, 11184, 717, 1177, 664, 729, 538, 519, 14500, 3478, 7318, 676, 519, 4622, 799, 7140, 856, 547, 581, 519, 4622, 2864, 982, 3478, 2220, 2426, 693, 609, 606, 4949, 324, 269, 4014, 11184, 717, 1177, 664, 729, 711, 3222, 602, 519, 4622, 729, 4152, 1864, 896, 891, 6381, 646, 1705, 1616, 646, 1185, 547, 798, 1256, 952, 621, 5921, 646, 729, 513, 3787, 20247, 5819, 950, 2921, 519, 3039, 521, 1662, 269, 1306, 11184, 717, 1177, 664, 2829, 267, 2048, 2108, 2467, 267, 972, 779, 1250, 13337, 256, 634, 28067, 535, 328, 754, 1654, 343, 621, 892, 630, 1467, 476, 4343, 280, 25631, 11184, 717, 1177, 664, 2829, 713, 1317, 2899, 519, 3039, 27585, 11240, 338, 5128, 607, 519, 4622, 547, 11184, 717, 1177, 664, 646, 7959, 11849, 3139, 602, 646, 3576, 519, 3039, 521, 1662, 855, 6920, 602, 621, 779, 519, 4622, 779, 7385, 779, 13337, 1317, 1352, 6854, 1202, 12371, 602, 646, 1491, 621, 269, 4014, 713, 568, 8197, 3020, 621, 729, 1317, 519, 4622, 2322, 1010, 7385, 547, 621, 547, 1449, 11184, 717, 1177, 664, 779, 561, 1195, 958, 543, 19969, 855, 646, 1869, 12662, 782, 519, 16620, 593, 519, 4622, 779, 7385, 269, 1677, 17412, 4896, 945, 2306, 9073, 1058, 711, 2322, 519, 16620, 593, 2576, 3116, 2322, 2864, 2933, 543, 1451, 689, 519, 454, 5575, 540, 782, 2073, 689, 15248, 645, 23459, 752, 779, 1448, 540, 2070, 2073, 543, 538, 519, 1101, 5123, 689, 717, 1177, 664, 779, 5133, 849, 2073, 621, 4564, 513, 9059, 5657, 1143, 534, 269, 634, 14799, 13290, 547, 18609, 717, 1177, 664, 547, 1491, 519, 575, 2273, 548, 676, 20726, 532, 693, 922, 9589, 7060, 2073, 17548, 602, 646, 968, 322, 746, 711, 581, 1793, 664, 998, 1022, 4640, 593, 3618, 892, 630, 6977, 275, 264, 952, 646, 31273, 621, 1547, 717, 1177, 664, 3217, 519, 575, 2273, 548, 711, 856, 540, 561, 755, 2073, 855, 1317, 646, 12194, 2669, 543, 602, 2306, 1864, 1376, 547, 3494, 538, 922, 9589, 7060, 968, 2005, 1496, 1492, 575, 2273, 548, 316, 6157, 1131, 581, 26672, 573, 547, 4104, 718, 1373, 1793, 664, 892, 630, 6977, 279, 264, 1547, 898, 568, 513, 1259, 538, 799, 646, 13290, 547, 7753, 4250, 543, 5965, 5128, 585, 519, 13393, 609, 519, 5682, 26427, 269, 1403, 649, 1413, 693, 621, 689, 713, 5133, 2073, 519, 575, 2273, 548, 666, 849, 21843, 602, 717, 1177, 664, 6499, 547, 581, 21407, 602, 646, 2729, 269, 634, 4090, 646, 3217, 519, 575, 2273, 548, 568, 540, 1390, 2956, 2433, 2436, 646, 554, 1938, 610, 32141, 519, 575, 2273, 548, 543, 3947, 621, 547, 519, 7083, 2073, 646, 3423, 919, 2576, 779, 3972, 1547, 28788, 2284, 661, 269, 19161, 518, 2073, 538, 834, 294, 1177, 664, 781, 3493, 691, 675, 689, 519, 454, 2108, 306, 597, 717, 1177, 664, 543, 634, 5682, 26427, 892, 723, 513, 30162, 540, 4296, 543, 1894, 547, 8567, 782, 1472, 922, 1650, 269, 2368, 1806, 1223, 581, 14880, 1014, 669, 2526, 787, 609, 519, 20008, 4120, 540, 11184, 717, 1177, 664, 781, 13104, 543, 6307, 781, 3068, 538, 519, 1647, 267, 519, 6370, 1063, 11184, 717, 1177, 664, 543, 519, 5682, 26427, 799, 3576, 1747, 3330, 519, 32724, 540, 513, 5939, 267, 543, 634, 5682, 26427, 781, 3375, 4724, 717, 1177, 664, 538, 6029, 1864, 23502, 269, 1452, 1806, 1397, 1152, 1906, 4128, 1946, 968, 306, 597, 717, 1177, 664, 1656, 634, 5682, 26427, 892, 723, 4296, 543, 1894, 2509, 8567, 269, 0, 306, 6403, 331, 16129, 4643, 553, 267, 519, 1178, 4109, 543, 2144, 644, 924, 1225, 1807, 540, 519, 6014, 7467, 538, 717, 1241, 320, 267, 8050, 267, 3370, 513, 27412, 602, 24259, 1769, 593, 519, 1272, 543, 12556, 540, 513, 6014, 4807, 945, 5030, 538, 476, 1691, 628, 910, 1417, 1722, 717, 1241, 320, 6993, 560, 2607, 320, 729, 4535, 538, 476, 15389, 276, 547, 3619, 580, 543, 15243, 12844, 329, 1941, 269, 4173, 22516, 267, 6424, 12844, 329, 1941, 632, 4446, 686, 267, 729, 513, 4583, 10196, 543, 5480, 31485, 689, 3131, 335, 793, 534, 945, 9310, 6480, 615, 2961, 822, 7534, 267, 519, 8250, 540, 606, 16918, 6014, 1920, 538, 717, 1241, 320, 9950, 560, 615, 779, 7365, 693, 519, 2085, 540, 476, 1626, 729, 711, 3811, 267, 27229, 1317, 1200, 9393, 729, 606, 18473, 812, 945, 26884, 1200, 269, 4173, 1920, 11324, 4240, 1200, 543, 1200, 1762, 5067, 267, 15243, 267, 7175, 519, 1079, 540, 873, 547, 2132, 543, 2661, 609, 1200, 1920, 538, 717, 1241, 320, 269, 5629, 6738, 267, 15243, 6170, 942, 609, 1010, 4651, 267, 6424, 267, 945, 729, 2713, 538, 3131, 335, 793, 534, 282, 713, 13087, 1864, 547, 1353, 17651, 7258, 1864, 269, 1261, 6170, 942, 538, 30209, 855, 5555, 8120, 547, 717, 1241, 320, 547, 3136, 4974, 519, 6801, 269, 1703, 646, 5206, 4121, 2835, 267, 835, 540, 799, 2968, 513, 5929, 960, 538, 10120, 17651, 282, 646, 729, 6964, 676, 3751, 28828, 267, 607, 729, 1010, 4651, 269, 15243, 267, 543, 646, 9310, 513, 2199, 6014, 4807, 3957, 3619, 580, 267, 945, 20705, 547, 513, 15197, 1920, 609, 3959, 1519, 8075, 543, 729, 3238, 538, 4123, 543, 2724, 2000, 2056, 11482, 8077, 568, 1634, 827, 519, 6689, 540, 741, 8250, 8330, 2607, 320, 269, 634, 476, 1704, 4458, 6040, 30823, 523, 12311, 606, 4587, 812, 3957, 4236, 576, 325, 24415, 322, 6759, 269, 634, 19081, 729, 513, 11097, 1077, 945, 1185, 1044, 9310, 547, 513, 4807, 689, 519, 900, 5799, 1920, 540, 681, 1662, 9346, 630, 22069, 14137, 1649, 14062, 16481, 333, 1520, 4958, 264, 540, 30209, 269, 1261, 6039, 607, 23122, 540, 519, 2146, 543, 1185, 4308, 902, 609, 519, 15596, 269, 901, 6474, 729, 2808, 547, 581, 540, 519, 5207, 1931, 282, 8330, 2607, 320, 9887, 3177, 606, 11141, 9419, 787, 540, 930, 476, 1321, 267, 1911, 4396, 657, 630, 15290, 513, 9985, 11807, 9419, 787, 24132, 689, 476, 276, 267, 1822, 547, 476, 279, 267, 1822, 4396, 657, 1040, 1284, 917, 827, 713, 2040, 267, 711, 1317, 741, 11337, 18866, 15068, 267, 855, 1317, 4236, 576, 325, 19528, 621, 538, 1010, 476, 16928, 273, 786, 267, 538, 799, 646, 9138, 972, 602, 952, 646, 1705, 711, 7639, 519, 4576, 689, 799, 646, 729, 7092, 267, 8330, 2607, 320, 729, 547, 4309, 1200, 9419, 787, 538, 2407, 269, 2755, 713, 1131, 723, 1044, 513, 3044, 2783, 585, 513, 6014, 30612, 267, 713, 7008, 729, 1100, 3476, 6014, 538, 476, 16928, 273, 269, 1358, 1185 ]

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

[ 29370, 12099, 267, 20206, 6819, 519, 1480, 31007, 547, 4782, 21407, 12374, 936, 7334, 16548, 267, 1256, 950, 519, 8545, 949, 2709, 513, 2362, 4397, 1871, 269, 901, 13283, 1419, 19674, 689, 519, 4250, 540, 1761, 9271, 269, 11671, 27023, 881, 2090, 723, 2404, 1981, 513, 11437, 609, 15398, 2534, 538, 519, 993, 17789, 323, 8403, 267, 896, 23164, 519, 2178, 4276, 1063, 3929, 4393, 543, 1981, 4879, 563, 28403, 1944, 835, 781, 1981, 513, 11437, 568, 513, 11358, 5813, 585, 6006, 18318, 269, 2368, 9520, 949, 10709, 2509, 1373, 811, 1981, 8584, 2091, 267, 1178, 10903, 908, 2509, 15061, 267, 1970, 3917, 1752, 9541, 269, 11524, 949, 10709, 519, 6587, 1259, 267, 23362, 5275, 1164, 3146, 1189, 3255, 267, 4352, 713, 2619, 949, 849, 1291, 547, 2799, 25359, 538, 741, 2823, 31987, 269, 717, 8724, 606, 1620, 540, 835, 781, 1981, 9043, 543, 519, 4664, 12018, 621, 568, 513, 2629, 1900, 4724, 13167, 606, 2500, 5092, 4640, 563, 299, 1601, 589, 11437, 543, 519, 13329, 2939, 540, 13574, 11429, 454, 299, 1601, 513, 11437, 267, 5702, 5532, 547, 519, 1439, 578, 618, 1198, 267, 568, 1776, 2565, 2460, 540, 29370, 12099, 269, 13809, 513, 11437, 4016, 547, 519, 5626, 31007, 547, 1745, 9271, 811, 8650, 569, 982, 12374, 540, 606, 6697, 9588, 269, 634, 1439, 578, 618, 1198, 267, 593, 519, 824, 1688, 267, 1915, 3278, 519, 4412, 3748, 540, 2043, 547, 936, 7407, 22590, 789, 1378, 267, 1419, 4611, 538, 873, 804, 15781, 547, 9541, 1256, 950, 513, 7787, 6268, 5267, 621, 781, 942, 547, 851, 2081, 563, 13828, 2530, 513, 11437, 543, 519, 1439, 578, 618, 1198, 616, 12082, 538, 519, 3929, 4393, 7740, 540, 519, 2634, 269, 11671, 27023, 881, 1382, 814, 7152, 602, 519, 2634, 23465, 811, 7920, 569, 547, 519, 19175, 540, 9561, 1945, 982, 547, 2744, 606, 6697, 6221, 269, 901, 31007, 666, 1291, 547, 1447, 31032, 268, 9953, 2711, 5092, 3664, 267, 607, 9520, 1522, 1332, 22350, 7923, 547, 896, 704, 14127, 7221, 543, 19292, 547, 2759, 741, 9271, 563, 3412, 4124, 585, 7767, 832, 454, 8139, 875, 4664, 3337, 5092, 3664, 267, 607, 11552, 691, 1117, 676, 29370, 12099, 1382, 267, 11438, 1896, 6286, 585, 9520, 14971, 547, 3986, 741, 2883, 2773, 912, 268, 3204, 6819, 30248, 281, 9861, 26256, 714, 656, 540, 3929, 6114, 547, 2344, 15088, 568, 519, 1101, 1900, 4724, 19086, 741, 3310, 593, 3375, 6194, 269, 7767, 832, 666, 25666, 2994, 547, 4383, 741, 4664, 267, 971, 607, 9591, 30966, 14827, 2798, 610, 12561, 513, 9836, 1935, 547, 9467, 563, 268, 30487, 11485, 281, 20876, 835, 781, 1981, 513, 11437, 9043, 543, 519, 8849, 6127, 3297, 621, 666, 3391, 519, 5542, 540, 5092, 2994, 602, 5447, 609, 1367, 1981, 10892, 563, 268, 570, 871, 1782, 15465, 4437, 1162, 281, 17607, 540, 5042, 12886, 267, 899, 2530, 513, 11437, 543, 519, 1439, 578, 618, 1198, 267, 666, 4217, 9520, 538, 1818, 811, 6662, 3664, 269, 11150, 547, 4831, 891, 12886, 7854, 29159, 267, 4259, 2530, 29676, 267, 543, 14237, 1033, 16670, 689, 9541, 563, 268, 4065, 543, 9751, 281, 1306, 519, 2361, 540, 29370, 12099, 5170, 547, 11457, 267, 621, 6799, 3255, 585, 9520, 547, 13599, 2933, 827, 519, 5767, 4681, 543, 2553, 585, 7393, 3375, 6194, 269, 901, 1702, 666, 581, 17170, 585, 17975, 5092, 2994, 563, 32507, 325, 12099, 6763, 607, 513, 9159, 6389, 602, 13123, 519, 26441, 540, 23798, 543, 8804, 267, 3246, 4030, 883, 519, 6946, 16799, 1063, 4664, 543, 7787, 640, 538, 5092, 5079, 269, 30248, 616, 606, 17271, 851, 540, 519, 1480, 1995, 267, 543, 789, 17216, 3310, 875, 649, 1935, 2883, 3664, 267, 1519, 1346, 538, 519, 1158, 540, 6006, 9467, 563, 3528, 18167, 883, 519, 8849, 3157, 30343, 3375, 6194, 267, 5778, 325, 12099, 3091, 3407, 4030, 602, 7668, 9520, 547, 1831, 811, 1140, 25293, 547, 741, 3929, 6114, 267, 1118, 811, 5483, 1981, 10526, 267, 543, 25559, 5042, 12886, 269, 2755, 1454, 3788, 547, 581, 20114, 538, 713, 6932, 2361, 267, 922, 1761, 547, 3986, 5092, 2773, 568, 26837, 4192, 267, 17021, 621, 606, 1858, 540, 1390, 1719, 543, 9153, 538, 519, 2883, 5251, 563, 5804, 23951, 560, 656, 514, 15887, 514, 540, 7767, 334, 305, 684, 1676, 19534, 269, 0, 763, 3406, 585, 7326, 998, 6138, 814, 21490, 519, 1259, 585, 9118, 5717, 602, 723, 16768, 519, 1449, 540, 942, 543, 3136, 547, 3310, 875, 649, 13498, 519, 1158, 269, 1452, 10952, 2055, 2611, 543, 616, 1869, 1898, 538, 938, 2413, 1158, 267, 8151, 689, 1346, 7282, 1480, 2470, 547, 1346, 7282, 519, 6228, 540, 2696, 543, 519, 5837, 4539, 540, 938, 23339, 269, 901, 5816, 786, 4983, 519, 15851, 2470, 540, 2947, 1134, 8153, 10952, 7440, 543, 875, 789, 1869, 3180, 538, 519, 1459, 563, 26903, 5288, 269, 715, 4669, 675, 454, 20755, 6804, 7726, 281, 3657, 2043, 5097, 8032, 676, 741, 7915, 7907, 267, 2833, 267, 610, 1604, 888, 26903, 5288, 269, 20741, 568, 513, 1279, 29280, 10952, 543, 3621, 7521, 602, 11394, 547, 1174, 519, 3119, 2188, 602, 3337, 606, 1367, 781, 1646, 269, 11096, 14279, 723, 6035, 1585, 5380, 593, 713, 3390, 267, 930, 10771, 519, 2956, 540, 7915, 7907, 630, 333, 1155, 1070, 1247, 1866, 8044, 602, 2833, 543, 519, 1604, 723, 513, 811, 1713, 3310, 630, 333, 4669, 675, 1916, 30262, 21077, 15806, 899, 3627, 28676, 543, 14639, 11219, 659, 13196, 681, 28907, 879, 4371, 15852, 16752, 593, 519, 2470, 5991, 4669, 675, 7521, 269, 28676, 5156, 602, 1004, 616, 4535, 609, 834, 29734, 1793, 919, 2437, 31552, 602, 741, 2833, 543, 1604, 3337, 741, 1915, 543, 1646, 269, 681, 28907, 879, 267, 593, 519, 824, 1688, 267, 6069, 519, 1523, 540, 519, 834, 333, 984, 548, 5260, 720, 2437, 19101, 602, 1004, 616, 20244, 1434, 543, 602, 2486, 18348, 338, 873, 269, 901, 10952, 27524, 30315, 9356, 519, 1279, 29280, 8082, 538, 1480, 1646, 1063, 519, 3310, 540, 17916, 7907, 543, 5007, 2188, 269, 25790, 538, 11976, 543, 23798, 538, 519, 8938, 23867, 2540, 4547, 1394, 713, 7521, 269, 1280, 1383, 267, 4974, 9838, 21054, 6659, 538, 1114, 5054, 2636, 721, 547, 1732, 1174, 519, 5107, 540, 6090, 543, 1604, 538, 5935, 1367, 7592, 269, 901, 7521, 568, 2565, 585, 26762, 4987, 267, 2790, 1072, 267, 543, 7803, 2623, 563, 763, 1353, 540, 4987, 568, 606, 3879, 13577, 1383, 540, 519, 2470, 5991, 4669, 675, 7521, 269, 4340, 547, 18793, 540, 519, 2470, 5133, 267, 4987, 568, 5097, 5462, 676, 4719, 2188, 267, 609, 5042, 5759, 1373, 15110, 269, 11531, 267, 18793, 540, 519, 20741, 5133, 8044, 602, 2825, 2188, 971, 607, 2069, 543, 909, 32523, 1404, 606, 1271, 1909, 538, 7214, 1646, 269, 634, 5872, 540, 11976, 543, 1604, 538, 8159, 4987, 3788, 513, 1950, 543, 6422, 2361, 267, 20206, 6819, 519, 5571, 7521, 1369, 519, 2470, 5991, 4669, 675, 7521, 563, 10403, 4024, 5288, 269, 10318, 24452, 281, 19484, 932, 7860, 538, 519, 7073, 6520, 454, 20755, 6804, 7726, 281, 1684, 3425, 4865, 1863, 786, 267, 3850, 873, 547, 1118, 5079, 10446, 267, 610, 798, 2188, 3564, 938, 1852, 2392, 9057, 710, 3388, 888, 763, 2085, 6040, 10952, 7521, 1063, 1863, 786, 543, 15002, 1143, 9607, 519, 4909, 3390, 540, 1480, 8116, 543, 519, 6708, 547, 799, 2043, 723, 519, 13190, 547, 1118, 4830, 5079, 269, 11096, 14279, 2429, 1686, 723, 23503, 2436, 938, 3527, 616, 1863, 610, 8806, 519, 1267, 540, 24441, 2188, 269, 2368, 8044, 602, 1863, 786, 568, 606, 7915, 2460, 540, 1480, 2470, 267, 1247, 1866, 2161, 602, 15002, 1143, 5546, 938, 3664, 267, 6766, 676, 2188, 971, 607, 11976, 267, 1604, 267, 543, 6848, 7506, 269, 25587, 15806, 971, 607, 1955, 28609, 23006, 15469, 519, 1523, 540, 1863, 786, 267, 19101, 602, 2043, 616, 5827, 540, 14628, 5837, 7744, 269, 23006, 11225, 5837, 5539, 607, 519, 2702, 547, 1118, 5079, 5812, 609, 513, 2631, 540, 10279, 267, 7488, 540, 5007, 7506, 269, 2201, 519, 824, 1688, 267, 15002, 1235, 971, 607, 4446, 1276, 1975, 3626, 5633, 543, 14880, 5576, 13449, 327, 21516, 11130, 602, 1169, 2680, 267, 1519, 1480, 3527, 267, 568, 5462, 676, 1991, 3123, 269, 1358, 6069, 602, 15002, 2065, 4229, 971, 607, 11976, 267, 909, 32523, 267, 543, 6848, 4229, 3337, 938, 5079, 538, 2081, 602, 616, 3564, 938, 6857, 1852, 563, 290, 17964, 5126, 2488, 606, 5140, 1383, 540, 519, 7521, 1063, 1863, 786, 543, 15002, 1143, 269, 589, 4909, 2243, 538, 3656, 543, 5683, 7744, 568, 2436, 610, 711, 1004, 616, 18177, 585, 741, 3527, 269, 11330, 7859, 540, 1863, 786, 11168, 2123, 5539, 543, 8044, 602, 20737, 723, 513, 5837, 17185, 547, 693, 821, 585, 741, 3527, 269, 2201, 519, 824, 1688, 267, 15002, 1235, 1522, 1489, 513, 811, 29260, 4640, 267, 19163, 602, 3544, 4632, 971, 607, 909, 32523, 543, 14227, 4567, 723, 513, 8101, 1764, 593, 7803, 2623, 269, 7073, 5717, 540, 13919, 267, 7881, 267, 543, 3656, 1949, 3136, 547, 1459, 2591, 538, 10188, 519, 6286, 540, 713, 10952, 27524, 30315, 563, 763, 9046, 540, 5345, 559, 281, 23942, 1401, 14571, 543, 5274, 22206, 1359, 454, 20755, 6804, 7726, 281, 1215, 666, 519, 6228, 540, 9409, 543, 7092, 538, 519, 1158, 581, 11028, 4290, 539, 609, 519, 6228, 540, 606, 782, 268, 3104, 532, 267, 15962, 2696, 888, 763, 8628, 10952, 598, 1495, 5300, 5219, 547, 607, 519, 9046, 540, 5345, 559, 9607, 519, 3100, 532, 24081, 1890, 1063, 519, 6228, 540, 606, 782, 27703, 995, 267, 1434, 2696, 543, 519, 1249, 602, 9409, 543, 7092, 616, 1455, 538, 519, 1158, 269, 634, 7907, 540, 513, 15962, 543, 782, 27703, 995, 5601, 609, 519, 7805, 7092, 543, 21440, 538, 519, 1480, 1995, 723, 1044, 519, 1641, 540, 538, 3829, 5717, 1063, 31188, 2103, 543, 15806, 563, 20606, 710, 540, 26194, 334, 3177, 835, 8106, 3210, 547, 519, 9046, 540, 5345, 559, 269, 27596, 6069, 602, 9409, 568, 513, 22975, 610, 9000, 540, 3280, 2864, 982, 513, 2318, 3196, 269, 4340, 547, 1010, 24396, 21169, 267, 2696, 2813, 513, 1158, 602, 729, 7620, 3501, 267, 543, 9409, 7153, 607, 513, 1267, 540, 3425, 705, 6748, 741, 1863, 786, 269, 901, 519, 617, 5390, 11363, 519, 2956, 540, 1480, 3903, 538, 519, 6228, 540, 9409, 267, 19163, 602, 2696, 2636, 585, 5837, 4636, 4777, 532, 676, 2870, 513, 1158, 609, 1863, 2914, 2683, 7919, 269, 2201, 519, 824, 1688, 267, 519, 14544, 543, 31188, 1014, 717, 2714, 325, 3072, 30247, 2274, 30519, 714, 5189, 519, 2856, 540, 519, 834, 12895, 540, 782, 2009, 10600, 1701, 2274, 30519, 714, 6069, 602, 519, 1158, 568, 519, 1655, 2009, 1267, 1369, 519, 23451, 540, 10143, 19870, 267, 1256, 538, 519, 3068, 540, 9409, 543, 7092, 269, 1261, 9738, 602, 2094, 2696, 568, 782, 27703, 995, 543, 1434, 267, 1261, 1131, 3442, 547, 1711, 513, 1158, 602, 568, 607, 1434, 607, 2009, 267, 1256, 952, 602, 1797, 28498, 930, 859, 2812, 547, 2291, 269, 4340, 547, 713, 519, 617, 5390, 267, 649, 3112, 4628, 10146, 519, 3677, 10143, 1544, 602, 2636, 1434, 543, 9409, 547, 30598, 1317, 540, 938, 3908, 1620, 563, 763, 1670, 4030, 883, 519, 9046, 540, 5345, 559, 3136, 547, 3310, 3909, 4978, 543, 10952, 9840, 267, 3246, 513, 2039, 540, 16752, 593, 519, 1950, 16799, 1063, 519, 10143, 543, 1480, 7092, 563, 763, 9650, 5174, 1328, 9046, 281, 3117, 4109, 1145, 543, 8447, 640, 454, 20755, 6804, 7726, 281, 1548, 568, 519, 2470, 540, 519, 2247, 267, 543, 875, 1281, 621, 9305, 547, 519, 1560, 543, 519, 1570, 1158, 888, 3080, 540, 6138, 781, 1279, 29280, 13655, 267, 519, 9650, 5174, 1328, 9046, 267, 7710, 519, 2470, 540, 9637, 543, 519, 1950, 4276, 1063, 519, 2247, 543, 1560, 269, 901, 2243, 27180, 2436, 519, 1560, 543, 2247, 616, 5094, 9988, 610, 952, 930, 954, 28947, 1063, 873, 1219, 625, 938, 2631, 540, 20932, 3823, 519, 2168, 1158, 269, 11096, 14279, 723, 2322, 8521, 1896, 6436, 547, 2491, 713, 1950, 2078, 543, 4194, 519, 9814, 540, 9637, 936, 519, 1296, 269, 11412, 2946, 29439, 26075, 267, 945, 5189, 519, 1523, 540, 12242, 1143, 267, 2488, 606, 1898, 5133, 593, 519, 9650, 5174, 1328, 9046, 269, 29439, 26075, 5156, 602, 519, 2247, 543, 1560, 941, 21739, 1114, 6878, 267, 609, 519, 2247, 1373, 1875, 14428, 9713, 543, 519, 1560, 7357, 1570, 269, 1261, 2219, 602, 519, 12566, 531, 14189, 25358, 519, 5872, 540, 2790, 543, 2168, 2833 ]

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

[ 0, 1103, 5698, 609, 1079, 824, 3084, 20682, 267, 513, 2319, 540, 18039, 20506, 3467, 2817, 12524, 630, 17247, 301, 299, 264, 4966, 814, 15748, 513, 1788, 547, 8495, 519, 23812, 540, 1804, 8397, 7250, 4859, 538, 27230, 21272, 563, 763, 4972, 540, 6052, 779, 8433, 540, 26187, 559, 6052, 543, 12539, 5004, 630, 293, 4488, 300, 264, 786, 8366, 909, 547, 1269, 277, 269, 4037, 2929, 538, 14828, 547, 3173, 693, 26993, 301, 299, 267, 519, 7414, 19566, 2817, 12524, 630, 303, 13585, 299, 1070, 543, 519, 2817, 6052, 5303, 12524, 630, 25892, 299, 264, 1282, 519, 1985, 1614, 1296, 563, 22154, 568, 606, 3078, 1788, 585, 721, 1317, 621, 9607, 513, 12905, 543, 2565, 5057, 540, 513, 1970, 28003, 1648, 2104, 2223, 1767, 26993, 301, 299, 13111, 11653, 543, 9030, 31375, 26056, 6519, 563, 2108, 4263, 519, 1482, 942, 267, 519, 2838, 6791, 13976, 593, 26993, 301, 299, 779, 5756, 540, 1995, 2324, 538, 519, 7449, 16577, 593, 1644, 4066, 971, 607, 27230, 3327, 4859, 267, 2067, 3154, 4859, 543, 24232, 1648, 3034, 288, 2629, 5057, 540, 519, 11036, 267, 29805, 519, 15562, 3008, 14011, 5741, 630, 15152, 3033, 25756, 10495, 267, 19554, 267, 543, 5303, 24665, 566, 1070, 568, 513, 1353, 540, 519, 3106, 543, 4398, 540, 13936, 20762, 7250, 543, 2067, 3154, 538, 7449, 16577, 23854, 563, 22134, 4088, 568, 9591, 3294, 607, 513, 1970, 28003, 4492, 3903, 585, 6283, 267, 5201, 5108, 267, 5663, 267, 543, 2973, 1648, 4066, 267, 23960, 519, 2136, 2276, 685, 5912, 547, 513, 1970, 28003, 4346, 563, 288, 1713, 7411, 267, 2705, 267, 568, 4180, 519, 2922, 543, 2500, 4859, 540, 7250, 269, 14066, 8397, 7250, 4859, 786, 581, 2556, 607, 519, 2197, 21810, 547, 513, 2973, 1648, 4346, 602, 568, 12303, 3327, 268, 543, 12998, 6954, 269, 12358, 652, 1227, 267, 2705, 267, 1152, 6070, 26434, 25481, 610, 1309, 591, 985, 723, 1044, 3254, 547, 581, 2922, 543, 2500, 585, 1804, 31891, 1016, 614, 10328, 7250, 4859, 563, 4407, 711, 782, 4525, 723, 519, 17027, 2175, 2556, 585, 6070, 13570, 4859, 267, 674, 4488, 300, 568, 4974, 4859, 3681, 538, 891, 2127, 267, 1519, 24338, 5420, 28330, 547, 11895, 2067, 3154, 4859, 23854, 563, 763, 5063, 9307, 1382, 786, 2708, 519, 6639, 23250, 540, 13936, 7250, 538, 7449, 16577, 1949, 543, 5173, 519, 10512, 4220, 2404, 609, 971, 4859, 563, 12234, 267, 621, 786, 1020, 2029, 543, 2409, 547, 11574, 1346, 4220, 269, 30027, 3585, 267, 519, 1382, 4674, 786, 2482, 519, 2930, 24536, 585, 9001, 519, 3648, 3677, 4859, 19206, 2139, 538, 24338, 2923, 4859, 267, 607, 1134, 607, 519, 7872, 547, 1065, 17123, 4540, 2067, 3154, 4859, 5989, 585, 519, 7250, 4346, 563, 7661, 267, 519, 1788, 949, 3565, 547, 519, 10231, 543, 7269, 540, 7250, 946, 676, 9001, 4540, 5989, 630, 324, 3052, 1421, 4540, 2067, 3154, 4859, 23854, 264, 693, 4859, 6753, 1472, 519, 2136, 2276, 563, 2005, 786, 2232, 1271, 6639, 2591, 282, 22738, 1382, 547, 3715, 519, 23250, 540, 6932, 4066, 282, 543, 1020, 2645, 543, 4066, 547, 4217, 2872, 538, 14027, 7449, 16577, 7250, 4859, 563, 16449, 519, 2565, 2055, 602, 5640, 786, 2232, 616, 519, 1739, 912, 268, 1215, 666, 519, 2930, 543, 10512, 10898, 2404, 609, 7449, 16577, 7250, 4859, 581, 7307, 547, 2327, 1480, 543, 2825, 3106, 1282, 4238, 888, 268, 1215, 949, 6932, 4066, 630, 324, 3052, 1421, 8596, 267, 13111, 1138, 22399, 267, 543, 9584, 2645, 264, 581, 11573, 3042, 547, 1683, 513, 5100, 267, 2922, 267, 543, 3608, 7250, 7449, 16577, 4859, 1062, 888, 268, 1548, 2930, 267, 10512, 267, 543, 2804, 4030, 616, 2838, 547, 5512, 1804, 8397, 1016, 614, 10328, 7250, 4859, 610, 7250, 5991, 1823, 3154, 30012, 593, 513, 2462, 4336, 888, 293, 1752, 6901, 543, 2780, 3631, 786, 581, 1031, 547, 8495, 519, 2360, 540, 6986, 7250, 543, 20762, 7250, 593, 1016, 614, 10328, 4859, 1949, 269, 634, 1382, 786, 1445, 593, 12570, 1570, 17356, 267, 10747, 15451, 4205, 693, 519, 4295, 543, 13111, 10253, 267, 543, 14236, 4295, 268, 543, 13111, 8397, 2773, 269, 0, 8505, 334, 21020, 476, 273, 291, 630, 6406, 12467, 288, 7473, 8016, 4696, 476, 273, 291, 3301, 666, 581, 454, 4310, 547, 8908, 6272, 811, 3533, 543, 609, 3152, 8856, 267, 1510, 1210, 454, 22978, 15078, 543, 2930, 5373, 7405, 269, 898, 849, 2636, 3755, 547, 3561, 454, 663, 14391, 622, 12400, 609, 1257, 267, 7516, 267, 3401, 543, 7515, 269, 1411, 666, 1569, 513, 3102, 1305, 454, 1993, 11049, 267, 1374, 267, 14391, 566, 2645, 543, 960, 5488, 538, 606, 16022, 3593, 454, 8505, 334, 21020, 3323, 607, 513, 454, 9188, 793, 1907, 585, 8030, 543, 16413, 267, 855, 568, 1631, 1031, 676, 824, 454, 2889, 325, 11970, 1023, 607, 1134, 269, 4201, 3941, 330, 267, 519, 2754, 3297, 29772, 267, 814, 2919, 454, 322, 2396, 8747, 602, 666, 581, 1031, 676, 1374, 8030, 267, 3540, 8030, 2676, 19491, 3740, 543, 11418, 8030, 543, 7344, 8030, 269, 29772, 3976, 454, 1723, 951, 513, 5318, 17198, 689, 4702, 547, 4853, 5823, 267, 972, 568, 606, 29772, 454, 17569, 720, 585, 3025, 563, 1432, 786, 596, 1451, 454, 2791, 666, 1174, 519, 29772, 29683, 543, 3593, 8818, 563, 2791, 786, 1451, 875, 547, 946, 2596, 5373, 267, 11049, 267, 543, 13156, 2645, 563, 2791, 666, 10891, 5373, 3615, 593, 6106, 563, 2791, 666, 1039, 1257, 267, 554, 10248, 267, 543, 7516, 454, 268, 3143, 3105, 1702, 568, 2838, 454, 268, 476, 1428, 16497, 454, 268, 476, 6021, 281, 2764, 281, 6078, 25980, 454, 2171, 3112, 946, 713, 538, 22356, 454, 854, 3730, 585, 4195, 3540, 8030, 454, 25802, 8799, 543, 3730, 0, 10111, 2125, 267, 674, 1846, 543, 19871, 281, 2290, 11140, 547, 4341, 873, 782, 888, 291, 8123, 3173, 723, 4857, 513, 1883, 23643, 538, 519, 4155, 585, 519, 1259, 519, 6797, 9388, 609, 11950, 267, 9600, 543, 3940, 269, 1358, 2161, 621, 1223, 581, 513, 9621, 1007, 3077, 585, 28530, 519, 5774, 12515, 540, 9761, 6797, 2068, 543, 2392, 328, 3449, 563, 763, 4466, 568, 606, 856, 29115, 540, 519, 16099, 17449, 25665, 4659, 779, 968, 4958, 549, 20675, 3175, 892, 1935, 267, 538, 799, 18072, 12508, 540, 513, 1880, 2068, 616, 4857, 676, 3376, 13819, 543, 1287, 968, 339, 2586, 1394, 883, 3662, 3631, 547, 4137, 856, 1018, 602, 5365, 1797, 2223, 1767, 22361, 760, 6519, 267, 606, 13930, 7548, 540, 4915, 945, 3366, 519, 1353, 563, 1103, 713, 2013, 267, 6519, 543, 9164, 941, 13197, 513, 12440, 540, 11254, 7408, 2443, 15059, 2472, 540, 3940, 10307, 2443, 602, 8604, 547, 5365, 7378, 4187, 269, 1358, 2461, 1572, 4839, 3481, 7302, 664, 11254, 7408, 267, 610, 7460, 8150, 267, 543, 1185, 1044, 4857, 538, 476, 1220, 280, 607, 513, 7347, 15262, 540, 8377, 543, 7378, 4187, 538, 3425, 676, 16099, 3173, 3366, 676, 18332, 1715, 326, 731, 267, 519, 8689, 540, 519, 16099, 17449, 25665, 4659, 563, 763, 7681, 1063, 7460, 8150, 543, 7378, 4187, 1185, 1044, 1459, 538, 519, 3332, 6580, 1394, 547, 513, 476, 3422, 280, 1353, 602, 7902, 538, 519, 1715, 4789, 4750, 540, 6925, 269, 1656, 789, 723, 2094, 1044, 3254, 547, 581, 3810, 16762, 540, 2104, 3987, 1646, 676, 519, 19506, 13368, 532, 5069, 9839, 1353, 563, 2108, 4322, 31571, 2951, 1927, 609, 4057, 10894, 1072, 2223, 6519, 1767, 269, 968, 2467, 779, 513, 32618, 3140, 2594, 540, 713, 267, 855, 649, 1810, 1406, 917, 1018, 621, 1797, 3034, 1103, 2625, 532, 519, 1979, 17190, 540, 875, 7460, 288, 2026, 2097, 547, 581, 811, 10731, 538, 8377, 543, 7378, 9113, 2700, 267, 3173, 723, 1336, 602, 1114, 1418, 1949, 6023, 741, 15059, 538, 1114, 2081, 269, 769, 519, 6797, 267, 799, 8637, 811, 3170, 543, 7472, 811, 7280, 538, 2392, 328, 3449, 267, 621, 7140, 856, 602, 519, 7636, 3334, 602, 14892, 7460, 8150, 15059, 616, 5828, 1055, 676, 513, 2582, 9431, 6467, 563, 10521, 6675, 267, 513, 32635, 543, 513, 8485, 520, 848, 267, 960, 538, 11685, 547, 16212, 713, 9431, 6467, 602, 8060, 519, 2736, 1524, 540, 7460, 8150, 269, 634, 3666, 540, 891, 6675, 11887, 2436, 7460, 288, 2026, 616, 7745, 1524, 610, 18645, 563, 2108, 11039, 267, 1018, 952, 649, 2490, 621, 1394, 593, 9495, 6519, 4280, 269, 968, 2171, 666, 1491, 2476, 519, 7409, 7480, 5365, 267, 519, 32635, 267, 610, 1039, 811, 540, 519, 1437, 908, 5365, 267, 519, 8485, 520, 848, 1848, 901, 1935, 729, 29211, 676, 513, 5698, 609, 519, 1895, 540, 3220, 338, 269, 6424, 932, 340, 836, 543, 7665, 654, 2106, 333, 693, 519, 2160, 540, 7147, 3162, 13523, 6481, 4741, 267, 28543, 267, 945, 1185, 4362, 513, 3075, 602, 29620, 519, 32635, 563, 2691, 519, 3173, 7409, 1243, 519, 32635, 610, 15181, 519, 8485, 520, 848, 267, 519, 2164, 941, 3592, 9838, 269, 10738, 513, 3018, 538, 513, 3731, 2203, 540, 840, 26817, 3449, 267, 1437, 908, 7460, 8150, 15059, 4389, 3170, 18254, 538, 519, 6797, 543, 4824, 7280, 7939, 1510, 19249, 1560, 2597, 563, 22154, 1880, 3731, 2203, 630, 1492, 2098, 27462, 9761, 3731, 264, 568, 606, 3665, 2203, 540, 8377, 543, 10894, 2068, 267, 865, 952, 596, 666, 1205, 606, 6454, 538, 513, 3018, 267, 602, 779, 2731, 1713, 2223, 6519, 1767, 563, 7437, 891, 6901, 267, 519, 16099, 2319, 5532, 922, 4681, 547, 606, 11747, 602, 4249, 606, 1271, 1909, 538, 3170, 2504, 538, 519, 6797, 269, 1358, 4951, 602, 713, 11747, 267, 1572, 21085, 2275, 527, 3433, 11430, 848, 267, 25998, 609, 543, 568, 14931, 676, 519, 1482, 32635, 543, 8485, 520, 848, 602, 10038, 7460, 8150, 10307, 269, 769, 513, 3126, 540, 6901, 267, 789, 3964, 875, 543, 1141, 891, 1614, 2188, 2170, 538, 1114, 2694, 540, 6797, 2281, 563, 22998, 609, 16099, 26393, 4460, 670, 9007, 267, 519, 3173, 849, 1336, 602, 513, 1164, 1922, 28229, 2732, 630, 3697, 6704, 513, 2603, 540, 24494, 14614, 1070, 968, 16579, 525, 606, 19261, 538, 519, 2157, 540, 519, 32635, 543, 8485, 520, 848, 607, 851, 540, 513, 3677, 1982, 602, 8992, 3170, 13250, 538, 519, 6797, 2223, 6519, 1767, 269, 20943, 848, 2534, 4422, 909, 267, 8485, 520, 848, 2534, 4422, 1524, 2443, 811, 3983, 18560, 267, 1447, 1434, 18560, 2443, 3056, 547, 811, 6797, 3170, 543, 25013, 10894, 1072, 563, 22154, 2337, 547, 2491, 875, 543, 1946, 7460, 8150, 616, 2404, 609, 2935, 1229, 3170, 10307, 602, 666, 1291, 547, 1826, 476, 273, 3987, 2223, 1767, 1715, 326, 731, 267, 945, 814, 5249, 593, 7460, 8150, 538, 10894, 2068, 585, 811, 982, 513, 8717, 563, 2108, 2419, 5142, 685, 1895, 814, 1044, 513, 1483, 6205, 538, 6029, 519, 2956, 540, 713, 2223, 1767, 7917, 717, 619, 345, 1084, 11022, 267, 8689, 540, 4791, 543, 6037, 1049, 1382, 585, 519, 12590, 4937, 11233, 9839, 4741, 269, 968, 2467, 941, 23456, 827, 630, 6195, 8150, 264, 1279, 3516, 267, 855, 519, 3621, 1158, 729, 4990, 540, 6998, 2048, 6343, 779, 519, 7047, 543, 1018, 779, 519, 7504, 286, 685, 892, 1767, 717, 619, 345, 1084, 267, 945, 729, 711, 513, 851, 540, 713, 1353, 563, 29467, 779, 3395, 2963, 547, 2303, 602, 7460, 8150, 3884, 1406, 1175, 513, 12809, 15262, 540, 3987, 267, 855, 949, 2965, 1404, 513, 1909, 538, 6117, 519, 2068, 2223, 717, 619, 345, 1084, 1767, 269, 968, 2005, 3947, 721, 519, 8404, 547, 1449, 2436, 2242, 538, 519, 11254, 3679, 6981, 538, 938, 11326, 1131, 581, 4502, 3695, 3034, 4322, 4681, 616, 3908, 676, 519, 946, 540, 1152, 835, 2186, 540, 3662, 2203, 543, 519, 2110, 8653, 540, 519, 1353, 267, 855, 6519, 568, 23904, 602, 3476, 3856, 2090, 538, 824, 3662, 3631, 786, 7703, 873, 856, 563, 2108, 7212, 1454, 960, 3788, 547, 581, 2944, 972, 779, 513, 1761, 585, 713, 547, 581, 513, 1007, 3077, 585, 8156, 9761, 6797, 2068, 2223, 6519, 1767, 563, 763, 26257, 593, 281, 15310, 1399, 6797, 2068, 454, 16129, 5616, 5240, 454, 763, 26257, 593, 281, 15310, 1399, 6797, 2068, 454, 268, 1261, 531, 609, 5253, 281, 5440, 3536, 585, 513, 8902, 6797, 267, 5267, 1096, 2023, 4864, 476, 273, 267, 476, 1708, 273, 693, 476, 275, 281, 6349, 993, 454, 12441, 596, 917, 602, 596, 666, 1205, 513, 9761, 6797, 1256, 1510, 6704, 1022, 4568, 286, 2659, 6797, 15824, 476, 4335, 266, 4105, 10894, 3252, 1169, 1554, 602, 13141, 340, 563, 268, 15310, 1399, 6797, 2068, 2589, 281, 13809, 540, 3023 ]

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

[ 402, 371, 29645, 535, 4141, 282, 12428, 2800, 267, 3441, 267, 17939, 6756, 13913, 355, 402, 379, 29645, 2112, 267, 535, 4141, 631, 867, 339, 332, 295, 574, 269, 6184, 577, 337, 269, 476, 2568, 269, 476, 10170, 17939, 291, 523, 14790, 2190, 595, 3041, 643, 269, 476, 14690, 267, 476, 272, 269, 476, 277, 13067, 2419, 6135, 269, 476, 10219, 282, 6599, 328, 8084, 581, 20935, 267, 538, 6508, 2249, 543, 16755, 282, 28435, 6929, 476, 386, 496, 541, 5889, 745, 267, 581, 20935, 267, 476, 386, 496, 541, 745, 267, 535, 4141, 282, 12428, 2073, 28435, 6929, 476, 386, 496, 597, 761, 340, 267, 5204, 686, 659, 2073, 782, 815, 15180, 2914, 1057, 267, 865, 630, 286, 12355, 3310, 264, 13913, 355, 402, 372, 29645, 402, 372, 403, 494, 18841, 369, 495, 278, 476, 272, 15656, 476, 272, 281, 277, 282, 1294, 2523, 20698, 5719, 576, 1078, 654, 1057, 781, 590, 3563, 267, 717, 294, 301, 269, 476, 6642, 273, 267, 3143, 269, 476, 1724, 282, 815, 21007, 269, 476, 10219, 742, 269, 3220, 272, 281, 277, 5148, 2443, 454, 304, 531, 17828, 274, 680, 1116, 13913, 499, 402, 364, 403, 355, 402, 372, 402, 377, 29645, 402, 366, 29645, 25149, 32679, 10606, 476, 3451, 281, 4649, 15654, 267, 21879, 13913, 355, 402, 364, 29645, 402, 372, 29645, 25149, 32679, 403, 510, 402, 368, 21012, 25360, 332, 476, 15782, 281, 272, 282, 476, 15782, 281, 273, 282, 14087, 2739, 274, 5733, 1529, 710, 13737, 13913, 503, 402, 372, 403, 355, 402, 373, 29645, 30037, 476, 1556, 281, 1724, 282, 5606, 514, 1438, 6207, 13913, 355, 402, 372, 29645, 25149, 402, 374, 29645, 10606, 476, 1839, 281, 1704, 282, 3487, 545, 2118, 3742, 13913, 355, 402, 373, 29645, 402, 369, 29645, 476, 1015, 281, 280, 267, 12683, 21879, 13913, 355, 402, 373, 29645, 402, 366, 29645, 21012, 25360, 332, 476, 4029, 281, 1321, 1341, 267, 3092, 5919, 2443, 1352, 342, 29383, 4724, 267, 1521, 609, 679, 332, 640, 267, 1654, 343, 267, 3771, 817, 267, 609, 25197, 894, 540, 1268, 30037, 476, 1556, 281, 1724, 282, 10606, 476, 1015, 281, 280, 282, 476, 1839, 281, 1704, 282, 2899, 609, 13913, 506, 1268, 476, 1839, 281, 1240, 282, 849, 32096, 607, 6086, 633, 630, 24554, 610, 609, 21879, 264, 1654, 343, 518, 267, 3771, 817, 518, 267, 2549, 657, 476, 276, 281, 1321, 282, 30037, 476, 1556, 281, 1724, 282, 31519, 476, 2537, 281, 2420, 630, 292, 1070, 25360, 332, 476, 277, 281, 279, 282, 476, 278, 281, 276, 282, 476, 278, 281, 278, 282, 476, 279, 281, 274, 282, 476, 1015, 281, 276, 282, 476, 2537, 281, 276, 282, 476, 4029, 281, 1321, 282, 476, 5655, 281, 1556, 282, 476, 7597, 281, 736, 282, 476, 10619, 281, 275, 282, 476, 10619, 281, 2537, 282, 476, 16960, 281, 1321, 282, 6480, 615, 476, 274, 281, 1015, 282, 476, 279, 281, 272, 282, 476, 280, 281, 1015, 267, 476, 2190, 269, 2443, 2274, 10903, 16307, 476, 1240, 281, 1240, 1294, 1496, 13913, 355, 402, 372, 29645, 402, 371, 29645, 316, 2630, 4083, 269, 13913, 355, 402, 372, 29645, 402, 372, 403, 498, 267, 2630, 454, 314, 403, 355, 402, 372, 29645, 402, 371, 29645, 316, 8231, 12030, 894, 1118, 513, 15180, 2914, 1057, 282, 2443, 454, 304, 531, 5606, 514, 1438, 4020, 13913, 506, 402, 368, 403, 355, 402, 364, 29645, 402, 373, 29645, 2274, 10903, 16307, 476, 1240, 281, 1240, 547, 1118, 1496, 615, 316, 513, 15180, 2914, 1057, 630, 299, 698, 31769, 301, 267, 476, 6642, 273, 267, 476, 32076, 3220, 268, 2662, 299, 341, 13391, 523, 331, 269, 642, 1916, 7656, 269, 13913, 355, 29645, 29645, 630, 18414, 540, 1739, 282, 5635, 12428, 581, 8325, 630, 286, 12030, 894, 1070, 2073, 8325, 24737, 3022, 2182, 6149, 267, 28435, 6929, 476, 386, 496, 4669, 340, 267, 15151, 17180, 681, 297, 19604, 704, 289, 3008, 13797, 269, 476, 31973, 282, 5204, 686, 659, 4224, 267, 6149, 267, 1166, 842, 1040, 0, 2026, 531, 3873, 29246, 320, 4303, 454, 2026, 531, 3873, 29246, 320, 4303, 630, 10193, 1306, 531, 3873, 10658, 10937, 610, 20144, 12609, 4303, 264, 568, 513, 14418, 13037, 602, 16033, 919, 17700, 779, 1101, 28005, 517, 543, 519, 15713, 540, 519, 17700, 779, 2185, 15626, 18408, 1310, 1010, 21481, 269, 901, 14418, 13037, 568, 4767, 593, 519, 2407, 7599, 540, 519, 21632, 16264, 3923, 267, 799, 2356, 8813, 538, 519, 3923, 540, 5147, 269, 901, 1032, 267, 1306, 531, 3873, 29246, 320, 4303, 8813, 593, 5147, 476, 1724, 628, 267, 476, 1708, 273, 563, 30547, 540, 1306, 531, 3873, 29246, 320, 454, 2026, 531, 3873, 29246, 320, 5161, 540, 1079, 1913, 281, 1306, 531, 3873, 630, 324, 12915, 16264, 3923, 264, 543, 29246, 320, 630, 342, 11208, 1040, 4475, 267, 1306, 531, 3873, 29246, 320, 1797, 10847, 532, 593, 519, 2407, 7599, 1554, 540, 519, 21632, 16264, 3923, 610, 10847, 532, 547, 3314, 1271, 2621, 593, 519, 2407, 7599, 1554, 540, 519, 21632, 16264, 3923, 563, 763, 1101, 10752, 540, 17700, 454, 2026, 531, 3873, 29246, 320, 568, 835, 540, 519, 1034, 1271, 15976, 547, 634, 9545, 3385, 6844, 327, 1235, 1317, 621, 22842, 17700, 779, 1101, 28005, 517, 840, 3737, 547, 2947, 10841, 7497, 693, 519, 1546, 518, 5244, 540, 7203, 333, 987, 630, 309, 541, 11446, 328, 264, 2282, 5484, 4100, 2749, 267, 3127, 936, 476, 273, 267, 4335, 1296, 3516, 563, 763, 10752, 540, 17700, 779, 1101, 28005, 517, 616, 1634, 607, 519, 24747, 540, 20144, 12609, 630, 291, 327, 29108, 752, 330, 1952, 822, 3430, 3570, 27659, 3279, 1070, 9967, 540, 519, 968, 19177, 32201, 18266, 338, 892, 912, 268, 667, 4157, 330, 3873, 281, 7092, 568, 17916, 547, 6228, 454, 268, 6341, 644, 11535, 281, 5169, 540, 7092, 568, 13613, 454, 268, 715, 10098, 323, 3873, 281, 29696, 540, 7092, 2501, 689, 15603, 979, 540, 13613, 454, 268, 7395, 8615, 281, 968, 763, 32201, 20640, 19507, 11202, 892, 568, 519, 1259, 547, 519, 29696, 540, 13613, 543, 7092, 454, 4322, 10752, 616, 2808, 519, 5748, 540, 782, 14418, 6138, 563, 2026, 531, 3873, 29246, 320, 538, 17289, 454, 2026, 609, 1034, 3909, 14812, 538, 17289, 267, 1082, 774, 9820, 8661, 713, 13037, 676, 10283, 538, 513, 530, 1014, 512, 1014, 610, 513, 23156, 26569, 4931, 3711, 1637, 1184, 542, 693, 17633, 269, 4658, 786, 3802, 1614, 2053, 1472, 519, 3921, 1588, 10689, 538, 513, 29628, 6752, 593, 519, 10543, 540, 1306, 531, 3873, 29246, 320, 269, 4033, 16873, 1331, 973, 1746, 519, 5216, 840, 32383, 540, 519, 32201, 20640, 19507, 11202, 267, 3056, 1199, 14591, 267, 669, 13589, 538, 16130, 630, 1492, 1893, 540, 14418, 27403, 1070, 4758, 28005, 976, 267, 543, 4758, 620, 916, 547, 26112, 563, 763, 1554, 1310, 1306, 531, 3873, 29246, 320, 568, 4767, 607, 918, 29697, 1912, 753, 320, 267, 799, 7436, 519, 1376, 540, 519, 1614, 18881, 1912, 753, 320, 630, 528, 966, 817, 320, 264, 1974, 849, 5219, 547, 607, 14418, 30766, 269, 0, 7476, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 454, 279, 8025, 16998, 32767, 13878, 295, 674, 2562, 3201, 12327, 4456, 29898, 30316, 22432, 8745, 281, 11261, 281, 11270, 281, 5149, 476, 272, 281, 17992, 725, 267, 5556, 745, 775, 543, 5381, 640, 29898, 30316, 22432, 2422, 519, 11282, 7077, 4605, 2630, 585, 2055, 476, 1724, 269, 476, 272, 269, 14674, 519, 3126, 563, 1692, 898, 3718, 454, 1692, 547, 6445, 856, 543, 1129, 17602, 775, 2228, 888, 7476, 707, 2228, 10959, 543, 6445, 621, 538, 1210, 11636, 2934, 269, 17949, 5100, 6445, 762, 4610, 543, 2170, 2032, 269, 7427, 519, 2241, 5528, 2630, 912, 24400, 513, 17101, 4274, 267, 1818, 513, 16516, 13393, 543, 4947, 547, 519, 9036, 585, 513, 4357, 10554, 2306, 11264, 513, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 689, 4098, 547, 1439, 9688, 532, 269, 2475, 13751, 22553, 6087, 596, 547, 3533, 1711, 16155, 4570, 4574, 1759, 593, 840, 268, 24554, 539, 11422, 2861, 17074, 563, 7093, 6768, 707, 2703, 338, 538, 3764, 1210, 938, 2653, 1900, 8386, 9912, 23988, 912, 268, 5192, 519, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 596, 991, 563, 268, 7046, 621, 1210, 519, 6531, 2861, 9375, 543, 1376, 14577, 563, 268, 19130, 519, 10145, 4610, 282, 7722, 6105, 4408, 267, 4025, 540, 15335, 543, 2338, 3092, 563, 268, 11426, 1125, 519, 10959, 609, 12600, 6445, 762, 4610, 563, 268, 5410, 519, 1554, 270, 5503, 543, 1747, 707, 5907, 15040, 563, 268, 8437, 667, 821, 1739, 5595, 7721, 600, 1456, 3388, 563, 268, 16440, 519, 4712, 13402, 3561, 547, 707, 3926, 610, 1820, 621, 899, 513, 2182, 5299, 563, 18933, 3424, 569, 5352, 513, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 1510, 17596, 547, 4125, 4648, 269, 1284, 2907, 723, 811, 982, 476, 274, 2929, 3755, 1818, 519, 1034, 540, 938, 2189, 4015, 540, 3656, 6054, 269, 15012, 721, 1318, 1631, 543, 2744, 1569, 547, 519, 1283, 32562, 540, 2228, 17074, 269, 12315, 621, 513, 2119, 3054, 2336, 16987, 1466, 513, 5488, 1259, 547, 6445, 856, 543, 1129, 3029, 593, 519, 1357, 269, 7457, 519, 1034, 3573, 5399, 540, 17074, 2139, 563, 8196, 3318, 840, 32472, 17074, 547, 6445, 538, 543, 1129, 6054, 2228, 5488, 269, 5192, 1569, 547, 5215, 540, 3029, 563, 21292, 4143, 547, 476, 279, 628, 6103, 4569, 15937, 11929, 21584, 454, 4785, 299, 20235, 7208, 1571, 2872, 6122, 8172, 3354, 543, 10220, 4441, 563, 258, 272, 5769, 2389, 27434, 3354, 13021, 269, 3416, 999, 602, 513, 3896, 568, 1863, 540, 18453, 6285, 563, 10817, 5875, 4315, 602, 513, 1870, 10742, 645, 17668, 20774, 2787, 4441, 538, 519, 2475, 543, 4516, 563, 295, 580, 4554, 6075, 8039, 593, 835, 540, 519, 1034, 3810, 2389, 27434, 1587, 2689, 5867, 269, 0, 21902, 18267, 8791, 1315, 6789, 8976, 454, 313, 20810, 267, 10906, 2073, 30129, 267, 717, 2044, 2073, 25538, 1676, 267, 25303, 700, 269, 4586, 295, 1177, 2967, 328, 607, 513, 2707, 1858, 585, 7414, 9253, 545, 2100, 563, 302, 4117, 545, 10195, 723, 1044, 9763, 607, 2067, 20682, 585, 1620, 12105, 29159, 269, 9253, 545, 2100, 808, 269, 681, 269, 1299, 717, 269, 1280, 3122, 630, 305, 583, 19687, 264, 568, 513, 1804, 12593, 630, 15996, 24094, 4700, 540, 19211, 543, 4054, 609, 513, 3892, 8151, 689, 519, 5689, 698, 6470, 543, 21475, 6953, 2711, 18885, 4525, 7532, 547, 519, 22963, 11866, 543, 5045, 547, 5245, 543, 1715, 10215, 269, 769, 519, 22963, 2895, 28396, 267, 519, 12593, 814, 1185, 606, 23292, 5982, 267, 1818, 621, 835, 540, 519, 4102, 15496, 2030, 25281, 630, 4366, 24094, 4700, 538, 519, 10195, 269, 6145, 824, 22963, 2234, 9911, 630, 324, 3052, 1421, 540, 519, 3623, 951, 6919, 267, 543, 540, 519, 12593, 5576, 1221, 20660, 1070, 9253, 545, 2100, 814, 22734, 20498, 29159, 609, 2249, 8151, 689, 5420, 13355, 4054, 909, 547, 476, 1321, 544, 538, 3819, 547, 8544, 545, 7733, 267, 30832, 1782, 4054, 543, 23215, 550, 19211, 540, 8544, 545, 547, 6632, 4104, 267, 543, 1970, 21212, 19211, 540, 1164, 15038, 536, 9233, 269, 1284, 3524, 10642, 5027, 689, 835, 6046, 630, 3951, 306, 264, 543, 1614, 8392, 6955, 770, 630, 13700, 333, 299, 293, 267, 959, 333, 21180, 543, 27666, 321, 288, 2389, 337, 333, 295, 264, 4525, 689, 476, 1428, 9253, 545, 2100, 2249, 8204, 1034, 540, 519, 6810, 6069, 676, 19134, 2917, 267, 1079, 2249, 540, 519, 2322, 8271, 5829, 22963, 12593, 15107, 344, 9188, 2742, 267, 543, 519, 856, 16766, 2249, 3600, 1258, 344, 577, 807, 269, 634, 9696, 5833, 941, 9916, 896, 16163, 574, 3415, 267, 10171, 543, 28662, 2409, 269, 634, 18105, 4094, 625, 3812, 1489, 513, 22963, 9253, 545, 2100, 602, 2882, 15107, 344, 9188, 2742, 3448, 547, 856, 16766, 7414, 9253, 545, 2100, 689, 570, 1695, 16951, 267, 5245, 543, 1715, 10215, 269, 634, 2164, 849, 1489, 693, 2547, 835, 3236, 540, 22963, 9253, 545, 2100, 7674, 607, 513, 2707, 1858, 585, 17091, 4553, 676, 5982, 540, 2249, 547, 519, 3057, 13196, 553, 11866, 563, 19868, 538, 547, 1039, 713, 6221, 547, 707, 8430, 454, 272, 910, 28834, 2817, 7467, 540, 7849, 3778, 267, 15636, 1415, 267, 7467, 8081, 4741, 267, 476, 275, 2641, 271, 18234, 10830, 10003, 267, 2672, 527, 1633, 267, 11022, 267, 476, 21709, 5379, 267, 7330, 454, 273, 910, 8832, 14151, 2160, 267, 18143, 7070, 4972, 543, 7025, 21834, 543, 2637, 15299 ]

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

[ 2068, 269, 1230, 4221, 281, 513, 8137, 3384, 1184, 602, 9054, 6758, 519, 10217, 269, 12870, 281, 513, 17867, 4524, 6353, 676, 606, 17418, 547, 13404, 267, 20026, 267, 2530, 540, 14031, 267, 606, 1117, 8205, 267, 4606, 540, 3665, 18354, 267, 16203, 267, 27303, 1145, 543, 27945, 1145, 267, 543, 4555, 540, 2669, 269, 674, 1846, 281, 5672, 1258, 19153, 799, 616, 1898, 547, 1272, 543, 1683, 513, 3730, 2707, 540, 1648, 1247, 32229, 519, 1560, 543, 922, 8219, 1996, 519, 4411, 563, 5445, 849, 1628, 543, 2226, 1560, 5160, 1247, 21528, 538, 519, 3560, 540, 3170, 30320, 8324, 2429, 519, 1560, 269, 4469, 24170, 6950, 281, 513, 23454, 540, 2890, 5991, 19153, 616, 476, 1321, 5049, 602, 14350, 2698, 936, 476, 736, 267, 1822, 269, 2290, 2030, 610, 10786, 949, 2270, 7366, 540, 32064, 6950, 269, 634, 811, 1134, 21503, 32064, 1355, 5049, 616, 7657, 2158, 267, 32064, 11169, 267, 568, 1993, 15442, 2158, 267, 844, 2075, 564, 514, 267, 16320, 30662, 573, 1231, 267, 543, 524, 622, 577, 1231, 269, 4469, 822, 517, 6950, 4061, 1118, 909, 519, 4102, 1895, 540, 4550, 268, 31038, 1218, 269, 15214, 5562, 281, 3810, 610, 23494, 3742, 563, 300, 1725, 10901, 281, 513, 1769, 267, 3623, 854, 22554, 267, 26815, 2182, 17285, 3693, 602, 538, 26781, 610, 8869, 1106, 17236, 609, 513, 13085, 3043, 18723, 269, 898, 568, 1031, 538, 7293, 23212, 267, 7510, 4710, 1013, 923, 267, 8755, 10344, 267, 543, 1651, 754, 10706, 23038, 269, 715, 22021, 281, 1022, 6219, 602, 2488, 1898, 29454, 585, 519, 5826, 540, 1272, 269, 25667, 281, 519, 2783, 540, 1373, 17324, 282, 2799, 1560, 2597, 3361, 676, 7050, 13250, 540, 3170, 269, 744, 548, 545, 18729, 281, 606, 522, 1176, 5277, 267, 595, 1704, 295, 3451, 4596, 15121, 267, 9648, 538, 3662, 543, 10448, 11041, 543, 1031, 538, 1818, 12853, 563, 21595, 2466, 545, 18729, 281, 513, 9761, 3679, 267, 595, 1428, 295, 4029, 4596, 15121, 267, 9648, 538, 1082, 2067, 11041, 543, 9600, 543, 1031, 538, 1818, 865, 2355, 269, 26263, 1803, 628, 4594, 710, 281, 513, 3114, 602, 11250, 909, 519, 2095, 540, 1344, 1063, 8229, 2281, 269, 3848, 5565, 2443, 5623, 540, 13565, 9085, 543, 3194, 5623, 540, 13565, 9085, 543, 3194, 6736, 519, 1249, 602, 10217, 814, 20335, 513, 3983, 22850, 936, 519, 1296, 267, 1082, 2090, 1397, 602, 267, 538, 1082, 2081, 267, 621, 568, 513, 2635, 1426, 269, 3487, 21871, 936, 519, 2250, 8717, 267, 3744, 267, 20485, 267, 6484, 1235, 543, 3173, 723, 6192, 3785, 602, 1397, 602, 10217, 666, 581, 1434, 585, 1004, 563, 22137, 593, 10217, 616, 9867, 543, 1142, 835, 3947, 513, 1114, 2601, 585, 519, 8560, 540, 519, 1426, 269, 2290, 3932, 568, 602, 713, 1426, 6585, 2640, 585, 3425, 538, 1896, 1114, 2081, 269, 2657, 8797, 10217, 814, 3334, 602, 948, 4339, 2295, 2068, 269, 898, 849, 814, 519, 2702, 547, 1118, 1004, 18668, 543, 3947, 513, 5818, 540, 1648, 269, 2353, 540, 519, 2090, 6961, 602, 10217, 568, 7429, 1022, 824, 6653, 269, 634, 4128, 585, 891, 3604, 616, 711, 2943, 4625, 6956, 269, 1717, 1142, 1353, 568, 5363, 538, 1620, 519, 2257, 540, 10217, 563, 9213, 267, 519, 2640, 540, 4189, 10217, 29387, 1022, 2942, 2360, 540, 519, 1426, 267, 855, 972, 616, 1869, 865, 1082, 12457, 2127, 4478, 519, 1382, 269, 589, 2319, 540, 3744, 814, 16355, 1386, 519, 3069, 602, 952, 1945, 16919, 1434, 267, 621, 1590, 581, 3983, 269, 634, 1433, 267, 28688, 543, 23081, 10394, 281, 589, 5623, 540, 2657, 543, 12594, 267, 799, 729, 20827, 676, 519, 4139, 23081, 10394, 9257, 630, 2975, 4596, 264, 543, 3812, 538, 9316, 609, 519, 4139, 23081, 10394, 3194, 7690, 630, 2975, 3918, 293, 1070, 519, 3872, 5748, 540, 519, 1977, 23081, 10394, 3194, 4659, 630, 3722, 6020, 1070, 11828, 519, 5767, 1382, 593, 519, 1761, 2640, 540, 10217, 543, 23342, 269, 2802, 617, 1108, 1703, 616, 1896, 2188, 602, 941, 3144, 883, 7156, 950, 8888, 519, 12191, 585, 519, 1353, 269, 898, 568, 1271, 547, 2232, 519, 1686, 540, 10217, 267, 519, 1818, 540, 10217, 267, 519, 2318, 543, 2942, 2360, 540, 10217, 267, 945, 14560, 10217, 543, 1946, 267, 543, 519, 2470, 540, 2090, 593, 10217, 269, 1635, 6313, 891, 1919, 267, 519, 5168, 827, 10217, 4652, 9529, 269, 3848, 9050, 2443, 11778, 543, 28454, 11778, 543, 28454, 28688, 814, 1044, 26916, 585, 922, 9422, 543, 5626, 2418, 585, 5553, 563, 13328, 2782, 4083, 7980, 3576, 5413, 540, 922, 1164, 9422, 1543, 543, 15808, 6617, 267, 1247, 9845, 543, 20691, 946, 621, 585, 922, 1164, 3170, 543, 19346, 9115, 267, 799, 616, 1634, 547, 5818, 1648, 2157, 269, 589, 476, 1428, 12063, 3046, 540, 5144, 10217, 2488, 476, 280, 260, 540, 519, 30318, 11545, 14190, 766, 630, 305, 6395, 264, 585, 7513, 267, 476, 274, 260, 585, 4401, 267, 476, 277, 260, 585, 3940, 267, 476, 280, 260, 585, 10775, 1993, 15442, 514, 267, 476, 272, 269, 476, 280, 260, 585, 555, 328, 3133, 543, 476, 273, 269, 476, 275, 260, 585, 6171, 589, 269, 28688, 568, 849, 3226, 3638, 538, 13101, 267, 543, 814, 513, 1164, 17811, 1543, 1813, 547, 922, 9645, 9115, 540, 3170, 543, 4006, 563, 20776, 557, 903, 543, 5359, 2161, 602, 26351, 585, 10217, 723, 1044, 4767, 538, 5111, 476, 2412, 2600, 540, 2021, 543, 476, 1428, 2600, 540, 2367, 269, 3509, 8951, 1867, 602, 741, 26351, 2049, 6140, 1282, 519, 1376, 540, 28689, 269, 16952, 5359, 1397, 602, 10217, 568, 1031, 607, 513, 1582, 2173, 539, 1709, 585, 4965, 25102, 27689, 267, 799, 6920, 513, 12214, 4493, 585, 26351, 6766, 676, 9449, 2157, 543, 7099, 269, 2859, 982, 3368, 540, 10217, 6159, 951, 2161, 602, 972, 568, 1100, 12990, 585, 741, 6159, 1324, 585, 10217, 543, 2021, 609, 623, 5960, 3409, 602, 789, 2333, 4616, 540, 10217, 1282, 713, 942, 563, 1607, 2982, 602, 972, 616, 19346, 543, 6915, 5562, 8069, 538, 10217, 269, 13804, 10901, 814, 849, 1044, 3254, 547, 3565, 547, 10217, 26351, 2094, 26351, 585, 10217, 723, 1044, 4389, 676, 13101, 9360, 269, 769, 1840, 547, 519, 1082, 9422, 2640, 540, 10217, 267, 519, 3170, 543, 19346, 5820, 540, 10217, 1039, 547, 922, 29284, 543, 9403, 269, 1452, 10444, 3601, 1683, 6800, 540, 10217, 2472, 609, 4313, 532, 7907, 269, 898, 568, 7805, 602, 519, 1164, 3170, 1543, 540, 10217, 2488, 1648, 543, 25685, 4606, 267, 1247, 519, 1164, 4006, 1543, 10607, 1648, 543, 4606, 540, 8788, 563, 11847, 2176, 540, 2799, 2634, 2119, 696, 2684, 534, 2157, 543, 22515, 10282, 609, 19346, 4616, 949, 2272, 585, 8476, 4606, 540, 1134, 1373, 267, 607, 1134, 269, 28688, 568, 3908, 538, 922, 946, 607, 513, 6198, 1426, 1813, 547, 922, 1164, 4006, 543, 3170, 9115, 282, 2705, 267, 23342, 3568, 519, 6198, 23466, 540, 10217, 609, 1100, 4006, 543, 1360, 2370, 3170, 269, 4595, 23342, 568, 2907, 1031, 607, 513, 2681, 656, 543, 7657, 28666, 267, 621, 568, 2907, 13931, 585, 946, 607, 513, 1426, 19605, 543, 1281, 711, 2154, 7199, 1426, 3106, 8062, 267, 7429, 824, 1761, 6198, 5820, 563, 290, 665, 10394, 568, 4867, 896, 7634, 585, 1761, 6198, 3601, 607, 606, 15934, 267, 1247, 538, 519, 3810, 2919, 5545, 6198, 1426, 2344, 267, 10217, 2472, 616, 2907, 1373, 30630, 585, 741, 9831, 894, 3601, 269, 898, 568, 2009, 602, 267, 538, 519, 2104, 267, 23342, 543, 10217, 949, 2899, 1586, 581, 9833, 607, 16392, 2472, 2864, 982, 17195, 3536, 267, 543, 10217, 2472, 949, 581, 10057, 585, 741, 1072, 1790, 668, 7627, 607, 1134, 607, 4313, 532, 3601, 269, 898, 1058, 581, 7074, 602, 606, 6454, 538, 13487, 1981, 2188, 1281, 711, 8850, 14377, 883, 513, 5786, 538, 2295, 1673, 1047, 848, 1981, 563, 3528, 21658, 267, 1256, 1498, 2921, 21110, 6971, 16796, 8501, 2157, 267, 621, 1281, 711, 2569, 519, 1981, 540, 2348, 513, 2295, 4323, 269, 769, 1840, 267, 519, 7811, 2640, 540, 4189, 10217, 1590, 581, 7059, 609, 519, 1761, 4220, 269, 4107, 10217, 2472, 616, 1164, 538, 3170, 267, 4006, 267, 543, 8477, 267, 543, 10438, 7050, 5666, 540, 10217, 1223, 3895, 8377, 267, 799, 1522, 2965, 2333, 519, 1981, 540, 2295, 2068, 269, 28688, 3568, 513, 1297, 540, 1114, 6464, 602, 666, 1860, 519, 2634, 543, 8401, 1062, 563, 1103, 1840, 547, 5266, 1804, 5666, 540, 519, 984, 668, 710, 630, 320, 7623, 2147, 547, 14933, 1070, 10217, 3568, 4307, 1803, 628, 2643, 8533, 630, 6518, 814, 3527, 2147, 547, 1346, 540, 18041, 2867, 26952, 264, 543, 513, 5063, 4362, 11140, 1572, 606, 663, 29524, 630, 6518, 25907, 547, 519, 1482, 3135, 538, 519, 2634, 607, 1281, 519, 3742, 12146, 538, 17089, 1040, 634, 2360, 540, 891, 7135, 593, 1480, 1072, 616, 711, 7357, 2312, 282, 2705, 267, 10217, 1281, 2408, 547, 581, 513, 968, 332, 785, 17038, 18146, 892, 1426, 267, 609, 5732, 2942, 6286, 585, 930, 1004, 269, 769, 1840, 267, 10217, 666, 581, 13982, 532, 267, 607, 519, 1082, 1004, 945, 6159, 557, 621, 786, 1140, 652, 563, 6637, 12866, 2443, 1230, 7501, 267, 20480, 543, 32505, 1230, 7501, 267, 20480, 267, 543, 32505, 4014, 1382, 543, 1344, 593, 1072, 2640, 540, 10217, 568, 17774, 5217, 267, 621, 779, 1271, 547, 3314, 602, 10217, 568, 693, 519, 9133, 540, 519, 1426, 3391, 18158, 2059, 609, 9600, 267, 11041, 543, 26265, 269, 1879, 649, 3548, 1932, 1082, 8477, 543, 3170, 267, 649, 2744, 2597, 267, 799, 4679, 1981, 585, 2295, 2068, 267, 930, 11871, 267, 3987, 267, 8377, 543, 824, 3676, 269, 14856, 513, 10217, 3046, 786, 711, 8209, 1118, 596, 3170, 267, 855, 10217, 13000, 1058, 581, 7059, 476, 603, 824, 1426, 5079, 2429, 519, 1554, 269, 1924, 723, 707, 10217, 543, 3548, 621, 1932, 269, 2755, 972, 616, 17386, 2318, 543, 2942, 2360, 2404, 609, 10217, 4616, 267, 519, 3173, 945, 5342, 519, 1353, 3494, 602, 10217, 568, 513, 3730, 1840, 547, 519, 2732, 269, 2755, 519, 1382, 607, 547, 2436, 610, 711, 10217, 1058, 581, 1031, 547, 1521, 513, 3099, 540, 9025, 2175, 568, 1869, 10169, 21016, 5477, 267, 10217, 949, 581, 5363, 538, 1082, 3871, 269, 28688, 779, 3983, 10639, 2501, 689, 519, 1082, 14868, 4478, 621, 269, 3798, 24325, 517, 264, 6736, 2442, 3661, 267, 10217, 3085, 1406, 2014, 610, 22009, 18383, 269, 26681, 1281, 621, 2014, 5959, 9178, 269, 769, 1249, 267, 10217, 814, 1978, 3601, 602, 960, 1996, 4006, 779, 2067, 12402, 547, 3132, 519, 5711, 4551, 602, 5012, 547, 9178, 269, 4658, 616, 849, 12922, 540, 10217, 779, 14933, 1543, 855, 621, 568, 9670, 547, 917, 602, 1247, 6995, 814, 476, 9873, 268, 5611, 8406, 540, 14933, 267, 10217, 1152, 814, 476, 277, 8406, 829, 26412, 269, 10801, 1686, 267, 10217, 814, 3177, 1082, 2640, 547, 1082, 2516, 540, 1004, 855, 1869, 6591, 513, 3983, 10639, 607, 606, 14432, 1426, 563, 763, 1975, 8643, 1841, 2808, 10217, 547, 581, 606, 21428, 549, 4134, 13519, 543, 519, 17417, 1031, 621, 585, 16392, 5301, 269, 4653, 267, 3646, 616, 1373, 1500, 547, 16355, 557, 519, 7242, 602, 10217, 3568, 513, 9589, 12146, 267, 3079, 5316, 5024, 519, 16990, 4606, 2404, 609, 10217, 547, 513, 5626, 7681, 609, 519, 9403, 269, 5525, 723, 8810, 602, 10217, 22262, 519, 2634, 547, 5305, 2067, 968, 335, 664, 26973, 619, 269, 9232, 630, 21930, 264, 3509, 1382, 3785, 723, 20114, 513, 3099, 540, 8753, 3823, 519, 2318, 2360, 540, 10217, 267, 8151, 689, 2640, 540, 519, 2295, 547, 5626, 2126, 563, 2662, 7241, 519, 2601, 267, 519, 2110, 3856, 1198, 540, 10217, 568, 3768, 529, 1584, 539, 269, 1656, 3173, 616, 669, 6235, 2476, 693, 10217, 779, 3983, 10639, 607, 513, 22938, 1426, 609, 741, 4797, 4681, 269, 2290, 540, 519, 1034, 1271, 2090, 4951, 602, 10217, 779, 2707, 540, 15459, 3170, 729, 588, 792, 545, 3679, 267, 799, 1281, 711, 6318, 8501, 2157, 269, 12344, 952, 519, 5253, 543, 10684, 10029, 556, 5035, 1881, 588, 792, 545, 3679, 607, 1447, 5739, 267, 519, 9422, 1871, 540, 10217, 1131, 4473, 269, 898, 568, 1271, 547, 5431, 602, 1082, 540, 519, 2090, 5941, 538, 713, 1957, 616, 18106, 610, 803, 4526, 563, 6624, 1866, 267, 2523, 1346, 23032, 676, 10217, 3549, 267, 666, 581, 22801, 543, 4734, 513, 2603, 540, 1713, 1344, 856, 269, 1280, 1383, 267, 1247, 1382, 17613, 602, 10217, 3568, 25168, 1156, 11169, 267, 799, 723, 15934, 3601, 267, 713, 3112, 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 ]

[ 476, 5780, 2929, 1296, 3516, 267, 4929, 7372, 9552, 543, 3056, 547, 519, 14486, 540, 782, 1875, 268, 822, 1014, 17878, 780, 4913, 267, 824, 3173, 3494, 602, 891, 15455, 8507, 689, 513, 2518, 6360, 602, 7018, 5111, 476, 275, 267, 4335, 1296, 3516, 269, 2334, 1131, 1611, 602, 519, 1184, 3743, 585, 8497, 891, 21300, 15455, 3576, 1747, 936, 513, 10156, 2053, 7051, 982, 2356, 10924, 269, 634, 7521, 1063, 891, 6436, 8711, 875, 1950, 543, 4241, 938, 4541, 781, 1686, 666, 581, 780, 2026, 513, 21233, 14542, 609, 1272, 593, 3047, 267, 596, 1522, 4898, 1018, 3425, 798, 1169, 1554, 610, 1018, 2645, 789, 4122, 946, 269, 18972, 4497, 538, 3875, 2238, 899, 14379, 1210, 4992, 543, 6698, 630, 21406, 4654, 1070, 4687, 1702, 998, 2854, 6054, 630, 3697, 2835, 267, 14786, 267, 543, 7270, 1070, 2679, 24181, 630, 7945, 607, 5321, 267, 13646, 267, 543, 8637, 264, 585, 4027, 1996, 4365, 2175, 267, 1818, 1426, 267, 4730, 3756, 267, 543, 10707, 2066, 5318, 9883, 1312, 593, 2244, 543, 2011, 269, 28871, 8246, 3457, 1331, 16389, 267, 5904, 267, 6517, 267, 14884, 267, 543, 14742, 269, 2353, 1346, 1919, 948, 873, 1118, 741, 2729, 4443, 543, 811, 4448, 609, 835, 1776, 780, 2791, 949, 849, 5469, 602, 3425, 4043, 547, 960, 1927, 538, 2516, 267, 8108, 2950, 1759, 593, 3838, 4690, 267, 4978, 267, 610, 6753, 269, 9442, 4249, 513, 2629, 1909, 1369, 891, 7239, 282, 2093, 616, 22121, 267, 3664, 1500, 15217, 267, 543, 2042, 12193, 607, 513, 2319, 269, 4658, 1419, 12840, 547, 2263, 2470, 267, 1451, 827, 922, 11580, 267, 543, 8190, 922, 5898, 585, 2104, 5481, 269, 13028, 625, 899, 519, 2487, 21300, 15455, 3565, 3648, 547, 9750, 938, 7104, 1702, 543, 4492, 7279, 2509, 519, 13655, 4478, 938, 9058, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 1446, 2632, 5505, 5063, 4362, 519, 9864, 15455, 540, 1079, 1007, 2249, 540, 21300, 1175, 3544, 540, 16629, 629, 331, 4545, 320, 269, 1306, 7150, 538, 513, 3163, 6034, 2376, 267, 789, 968, 516, 1636, 1079, 1007, 705, 601, 529, 4768, 573, 15455, 689, 519, 5580, 8575, 770, 5341, 339, 1014, 8485, 919, 540, 519, 744, 27968, 19869, 1735, 19438, 267, 538, 7187, 25448, 1848, 272, 454, 763, 2160, 540, 24872, 267, 4789, 267, 2046, 5305, 7150, 912, 13828, 941, 851, 540, 513, 1920, 540, 18642, 23097, 5387, 17878, 1634, 607, 705, 601, 13453, 2720, 1496, 320, 1920, 540, 524, 518, 520, 13239, 1014, 519, 1886, 617, 17878, 3910, 543, 5030, 7258, 519, 1454, 3677, 705, 601, 529, 4768, 16441, 534, 529, 19653, 3046, 8663, 16307, 267, 6029, 602, 25448, 729, 1753, 547, 3309, 21300, 2249, 1175, 1354, 513, 9649, 20503, 13351, 693, 519, 1439, 540, 519, 31350, 17675, 267, 10678, 519, 2085, 540, 17878, 269, 273, 454, 290, 516, 566, 1235, 616, 6126, 602, 4720, 1235, 616, 4947, 1472, 543, 7487, 602, 971, 513, 6727, 19746, 568, 519, 1267, 540, 513, 5001, 31685, 269, 1717, 267, 713, 19746, 7012, 1406, 519, 1267, 540, 606, 20503, 267, 855, 540, 513, 5001, 6360, 827, 476, 275, 267, 4335, 1296, 3516, 563, 763, 24627, 568, 15991, 2484, 1922, 564, 3481, 269, 769, 1249, 267, 513, 6252, 2376, 1775, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 3163, 1299, 7186, 1315, 26187, 2812, 1315, 20550, 13239, 26187, 2812, 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, 4495, 2390, 513, 942, 267, 538, 513, 14925, 711, 865, 2484, 2476, 267, 5030, 1079, 1655, 2828, 3957, 2098, 2089, 344, 543, 2107, 4226, 269, 1358, 6068, 4730, 3381, 3756, 1927, 256, 4256, 5172, 729, 1572, 834, 1103, 5765, 2437, 799, 1577, 873, 8038, 5624, 4721, 543, 6370, 9813, 28164, 269, 1809, 835, 1554, 789, 9289, 267, 834, 4692, 649, 1118, 938, 21804, 1413, 1114, 12482, 313, 2089, 344, 4280, 12157, 339, 289, 582, 267, 741, 5363, 8378, 8773, 267, 585, 948, 1620, 875, 1915, 29356, 1568, 269, 12157, 339, 289, 582, 6045, 267, 834, 2691, 596, 1689, 707, 1915, 781, 28459, 610, 24915, 267, 596, 2811, 19249, 922, 2527, 1107, 519, 2179, 540, 2339, 538, 606, 1843, 1701, 1261, 4797, 267, 834, 2419, 4474, 2527, 666, 1860, 875, 3728, 1919, 1847, 1317, 2597, 5540, 8904, 267, 17444, 3615, 2509, 1142, 824, 15323, 7775, 4226, 1185, 606, 2856, 269, 2701, 6069, 267, 834, 1432, 952, 649, 1500, 938, 12681, 2706, 1769, 676, 4758, 873, 3579, 13777, 22618, 17015, 286, 14348, 333, 1405, 602, 1611, 789, 1223, 546, 17690, 14763, 811, 3362, 8119, 19196, 1243, 569, 267, 1352, 3773, 267, 834, 4517, 6148, 1256, 7914, 2362, 2094, 1447, 2597, 1131, 991, 547, 979, 909, 15323, 289, 1245, 569, 267, 789, 4956, 547, 1449, 741, 3069, 538, 1483, 1272, 1210, 4948, 2326, 899, 1957, 267, 5068, 14569, 267, 543, 2835, 547, 18082, 5624, 3726, 2694, 269, 28392, 7893, 12035, 543, 9883, 267, 789, 4767, 875, 4946, 610, 9427, 3688, 4957, 875, 1164, 789, 1223, 7914, 269, 1677, 741, 9983, 267, 950, 789, 941, 1360, 1769, 267, 17259, 1164, 2968, 2352, 1813, 547, 3668, 540, 6617, 780, 306, 611, 569, 267, 5103, 2679, 9735, 3168, 1412, 4944, 2167, 7057, 10086, 789, 7691, 602, 4657, 513, 12681, 781, 5920, 4769, 1405, 4019, 538, 834, 1103, 5765, 257, 2094, 621, 7012, 1405, 2966, 609, 1346, 2934, 269, 8616, 267, 789, 4121, 1945, 3407, 910, 1247, 22212, 2527, 1522, 1764, 5163, 267, 3666, 6927, 1932, 269, 6884, 267, 1373, 7059, 5012, 547, 1732, 2773, 982, 1373, 5393, 17426, 269, 1656, 3976, 267, 938, 2370, 3744, 4362, 519, 2956, 540, 11466, 538, 6323, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 5716, 21160, 741, 3197, 262, 856, 22327, 543, 24915, 538, 769, 5765, 781, 8396, 1062, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1344, 593, 782, 3756, 269, 1717, 267, 1759, 593, 1250, 1382, 267, 769, 5765, 3085, 1405, 723, 513, 8396, 1062, 610, 1915, 29356, 4183, 269, 898, 568, 513, 5929, 9095, 1228, 16654, 9496, 518, 3014, 1141, 5716, 1852, 513, 2582, 5624, 1222, 543, 9718, 2933, 1996, 6329, 540, 10546, 14361, 269, 4475, 267, 5716, 3112, 21160, 741, 1915, 781, 856, 22327, 610, 24915, 538, 769, 5765, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 1691, 281, 15776, 15487, 9085, 543, 6581, 518, 7869, 910, 4197, 7756, 21126, 692, 5970, 596, 2479, 9289, 1018, 621, 1797, 950, 2576, 14439, 607, 24139, 610, 20210, 286, 2107, 5310, 596, 2811, 8049, 827, 1946, 930, 1004, 3442, 547, 2328, 827, 891, 2833, 538, 3332, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 15776, 15487, 9085, 543, 6581, 518, 7869, 2439, 5575, 267, 1577, 781, 2736, 1524, 930, 1271, 2474, 269, 15776, 15487, 4016, 547, 2021, 945, 616, 13631, 14156, 267, 9308, 267, 543, 5924, 6535, 656, 1227, 547, 824, 2021, 269, 3767, 267, 1018, 827, 20210, 3069, 286, 2334, 1522, 3280, 7294, 267, 855, 1810, 1405, 5855, 22924, 781, 1175, 513, 1259, 540, 3206, 602, 2591, 2757, 2093, 827, 4008, 543, 14920, 269, 6581, 518, 28466, 3494, 602, 972, 616, 811, 2081, 547, 2769, 3054, 982, 3274, 1373, 5256, 610, 4775, 267, 2786, 610, 14447, 269, 1358, 8661, 4763, 543, 23141, 2439, 3086, 602, 649, 1174, 891, 2035, 1732, 267, 1577, 781, 2263, 741, 4276, 609, 3332, 269, 1411, 949, 723, 1224, 2835, 10023, 3197, 945, 2697, 607, 24139, 1354, 267, 1256, 952, 596, 4769, 1405, 8275, 621, 693, 519, 942, 269, 1452, 9089, 666, 948, 3988, 26003, 1125, 609, 1866, 262, 2833, 543, 22962, 741, 1620, 540, 519, 1158, 1472, 873, 269, 2368, 2442, 1806, 540, 24139, 3332, 1331, 834, 7775, 1633, 334, 257, 676, 9098, 26741, 325, 543, 834, 763, 7822, 31947, 257, 676, 7705, 21701, 780, 20075, 518, 3069, 849, 4249, 513, 1713, 1909, 538, 5339, 9880, 269, 1879, 7421, 5931, 998, 713, 7828, 267, 13915, 4983, 875, 4589, 946, 1893, 543, 9423, 2553, 547, 4161, 6848, 8155, 3823, 4008, 543, 14920, 269, 1280, 3236, 267, 789, 1522, 2307, 2055, 899, 281, 1215, 1281, 519, 2278, 9446, 3197, 945, 1810, 1405, 3514, 1369, 6093, 4008, 5107, 286, 1548, 6835, 827, 14920, 1281, 519, 1433, 6655, 17697, 569, 610, 12799, 286, 1635, 6313, 3332, 998, 513, 20210, 7811, 5133, 267, 649, 2744, 4514, 4030, 883, 1312, 519, 1257, 3294, 543, 938, 1378, 4978, 827, 3961, 543, 4082, 780, 3719, 3314, 267, 7234, 3584, 1644, 547, 11806, 266, 2950, 12582, 1405, 1152, 4755, 1247, 4974, 3332, 282, 1930, 7391, 827, 2463, 267, 10343, 267, 543, 13784, 1058, 8831, 3564, 519, 4928, 1932, 269, 11559, 707, 2828, 267, 1920, 2818, 267, 543, 9905, 547, 9784, 3604, 543, 5660, 1585, 5380, 269, 2991, 782, 267, 3884, 1405, 1272, 811, 4277, 950, 649, 1451, 689, 835, 1776, 781, 2189, 2984, 2496, 1103, 3932, 267, 3695, 24139, 3332, 543, 7311, 20210, 3069, 2636, 721, 547, 5660, 3309, 9739, 543, 4228, 938, 8223, 540, 4008, 543, 14920, 269, 1924, 1985, 942, 596, 4584, 909, 513, 1433, 267, 2015, 875, 922, 3197, 543, 6386, 3565, 547, 519, 3638, 13795, 540, 1480, 1995, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 519, 13834, 543, 11557, 7081, 3194, 1849, 13831, 454, 17098, 782, 267, 21741, 603, 320, 12254, 3467, 1934, 2336, 2026, 2212, 540, 519, 17335, 310, 667, 9143, 13834, 543, 11557, 7081, 1382, 12440, 267, 621, 779, 513, 5458, 12257, 547, 10950, 596, 1394, 547, 519, 2034, 3390, 540, 717, 25311, 966, 7860, 269, 898, 814, 1044, 1390, 547, 1294, 875, 1134, 519, 1101, 3390, 729, 4607, 267, 543, 594, 6557, 2386, 713, 7160, 786, 8141, 1082, 18398, 5717, 269, 901, 814, 1044, 1776, 11112, 1032, 585, 519, 13834, 543, 11557, 7081, 12440, 269, 1284, 4076, 10150, 1896, 2542, 1895, 2743, 13522, 267, 22555, 543, 11461, 21667, 4432, 330, 30639, 267, 1141, 649, 4076, 8268, 971, 3584, 607, 4008, 9186, 568, 2257, 267, 29724, 2173, 553, 1529, 6541, 267, 543, 14920, 538, 519, 2984, 540, 4911, 11253, 25020, 269, 898, 814, 1044, 513, 1390, 4316, 585, 721, 782, 547, 5490, 883, 824, 2127, 540, 1382, 267, 543, 1589, 827, 1114, 18125, 540, 4008, 543, 14920, 269, 1284, 1413, 4464, 547, 519, 10872, 585, 713, 4081, 1032, 267, 1141, 519, 2542, 1895, 786, 581, 21365, 4798, 1519, 21272, 540, 4008, 3961, 3544, 540, 513, 5375, 2796, 267, 543, 1875, 321, 14373, 1143, 630, 13630, 5799, 547, 713, 3390, 540, 717, 25311, 966, 16211, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 525, 15487, 9085, 543, 6581, 518, 7869, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6468, 22439, 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, 8893, 281, 4197, 3776 ]

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

[ 12347, 543, 693, 1164, 10605, 267, 865, 798, 711, 7227, 585, 519, 28963, 855, 1832, 3001, 3728, 269, 634, 15864, 1259, 568, 547, 1832, 513, 11733, 585, 3054, 267, 585, 1383, 267, 676, 10203, 689, 476, 272, 547, 476, 276, 563, 32622, 540, 3007, 454, 268, 8347, 547, 5734, 519, 18109, 693, 519, 7914, 909, 609, 707, 3946, 454, 268, 5901, 707, 3952, 593, 12048, 8700, 1282, 519, 15808, 454, 268, 5901, 707, 1394, 7168, 2786, 693, 519, 7914, 547, 15808, 2990, 267, 798, 711, 29345, 454, 268, 8571, 707, 17987, 538, 1142, 7914, 543, 9395, 523, 1864, 454, 268, 5901, 707, 17525, 538, 15808, 2990, 1318, 1657, 707, 3946, 454, 268, 1403, 596, 7985, 689, 707, 2539, 1394, 267, 3442, 547, 1900, 3079, 540, 17259, 563, 763, 3276, 701, 324, 666, 581, 1031, 538, 4222, 2866, 267, 610, 2866, 269, 634, 1034, 1455, 1259, 568, 519, 476, 272, 18826, 4161, 281, 798, 607, 1082, 607, 2009, 3276, 701, 525, 538, 835, 8792, 269, 4033, 7648, 616, 912, 268, 476, 274, 5036, 540, 476, 1428, 3276, 701, 525, 609, 476, 1789, 268, 3393, 2034, 23249, 454, 268, 589, 18158, 3337, 281, 1376, 609, 476, 1015, 3276, 701, 525, 267, 1287, 476, 280, 267, 1287, 476, 279, 543, 865, 593, 2394, 596, 3914, 476, 272, 267, 2736, 476, 1428, 3813, 454, 268, 769, 606, 8884, 2866, 281, 476, 272, 8792, 2196, 910, 476, 1015, 3276, 701, 525, 267, 476, 277, 5036, 538, 2698, 609, 476, 1428, 3813, 23249, 454, 268, 9737, 707, 4222, 2866, 281, 1310, 1142, 3635, 476, 276, 3276, 701, 525, 454, 13480, 8083, 5020, 5147, 476, 1839, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 1692, 1281, 7244, 1689, 1282, 3635, 286, 2659, 9224, 568, 4274, 569, 2966, 585, 6667, 269, 898, 568, 22862, 609, 1507, 24827, 602, 6882, 7452, 543, 17900, 607, 649, 11375, 1446, 269, 898, 849, 814, 29935, 17011, 602, 1039, 3636, 543, 7509, 547, 519, 2011, 1354, 11488, 621, 547, 707, 9641, 269, 634, 9224, 849, 18274, 3294, 676, 16937, 540, 5536, 538, 29935, 610, 32125, 547, 24773, 880, 8886, 1218, 269, 1717, 267, 1034, 1004, 798, 519, 1034, 540, 741, 7244, 676, 5023, 269, 901, 949, 3100, 4443, 547, 798, 2523, 1282, 3635, 267, 855, 3257, 865, 666, 2965, 1291, 547, 5409, 1203, 30968, 707, 1560, 267, 9561, 1648, 616, 14129, 269, 8347, 891, 17725, 7244, 2553, 547, 948, 1832, 707, 7244, 9350, 543, 7059, 563, 20797, 3826, 1127, 998, 707, 9224, 543, 856, 540, 5023, 1354, 3257, 512, 3931, 3635, 269, 23063, 20005, 538, 513, 11381, 610, 18084, 7953, 593, 519, 2666, 609, 707, 3946, 593, 707, 19704, 269, 22165, 515, 7184, 998, 707, 9224, 1247, 14656, 707, 5023, 269, 3973, 17938, 1446, 676, 5023, 269, 15566, 609, 713, 3635, 585, 513, 1906, 3764, 543, 10956, 5781, 1354, 2866, 543, 693, 824, 2053, 547, 3895, 11005, 543, 1648, 563, 763, 2259, 540, 2620, 14159, 7244, 666, 13236, 998, 707, 9224, 1282, 3635, 607, 1134, 607, 3207, 269, 10925, 707, 1394, 593, 513, 19756, 1319, 609, 707, 3946, 593, 707, 7181, 269, 22165, 515, 538, 998, 707, 9224, 865, 602, 707, 7181, 14380, 543, 1287, 11081, 607, 596, 17938, 1446, 998, 707, 5023, 563, 2521, 4244, 17725, 7244, 547, 2953, 519, 6208, 540, 7244, 1282, 519, 3635, 269, 23063, 20005, 593, 513, 19756, 11381, 610, 3635, 593, 606, 3635, 6191, 269, 2422, 519, 4994, 9416, 610, 14853, 540, 835, 1688, 547, 4019, 2571, 2604, 547, 519, 2427, 540, 835, 19911, 22567, 547, 2673, 621, 269, 22165, 515, 538, 998, 519, 824, 267, 1930, 19911, 22567, 585, 827, 1079, 7643, 269, 22165, 515, 998, 707, 5023, 543, 10956, 676, 11375, 2718, 609, 519, 824, 19911, 22567, 269, 901, 3635, 2337, 596, 1205, 1031, 547, 7244, 998, 707, 9224, 3079, 540, 707, 5023, 1282, 960, 563, 2710, 711, 11375, 1446, 25525, 3585, 610, 1932, 3533, 269, 901, 666, 1291, 547, 5409, 1203, 7976, 543, 21994, 269, 1403, 596, 723, 10447, 267, 7244, 5751, 666, 948, 2569, 519, 2589, 267, 2705, 267, 621, 568, 1271, 547, 5077, 513, 4387, 610, 13309, 547, 2327, 602, 596, 3635, 519, 7244, 5751, 7157, 563, 6524, 4358, 3635, 267, 971, 607, 4881, 610, 28185, 3101, 267, 2259, 17725, 7244, 1247, 3257, 824, 3029, 540, 3635, 971, 607, 7796, 919, 267, 10649, 610, 1769, 2597, 17666, 269, 1403, 596, 13236, 998, 707, 5023, 1247, 12008, 267, 707, 12687, 909, 4743, 949, 581, 1360, 19818, 344, 543, 723, 513, 3819, 5023, 269, 13693, 707, 4387, 827, 513, 24060, 588, 1905, 865, 596, 666, 1689, 707, 7244, 6208, 269, 1403, 596, 723, 2879, 1681, 610, 3207, 19103, 267, 596, 949, 849, 991, 2564, 2126, 1354, 596, 666, 1689, 707, 7244, 269, 4518, 8083, 5020, 5147, 476, 2190, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 1432, 568, 513, 6177, 2915, 3635, 286, 634, 6177, 2915, 568, 513, 1970, 27233, 1560, 7076, 3635, 602, 2636, 596, 547, 15313, 519, 2620, 11689, 1944, 6091, 540, 519, 12636, 543, 25637, 269, 1411, 666, 1020, 2599, 1852, 607, 1134, 607, 16885, 334, 4003, 267, 610, 513, 1732, 2631, 540, 17568, 540, 707, 2539, 1394, 543, 519, 10652, 6665, 538, 2230, 269, 1879, 596, 798, 519, 3635, 267, 1832, 707, 11983, 6241, 538, 519, 9243, 14302, 543, 707, 10652, 6665, 1869, 269, 634, 6177, 2915, 711, 1152, 18791, 707, 11983, 6241, 11689, 9088, 855, 849, 707, 14159, 6091, 267, 1394, 267, 7916, 543, 7953, 269, 898, 568, 2523, 2500, 585, 9845, 945, 991, 547, 24644, 851, 540, 519, 1560, 1247, 3001, 17873, 563, 7476, 3946, 543, 3952, 267, 13236, 856, 543, 2786, 523, 707, 1318, 1850, 269, 2659, 1850, 1058, 581, 6252, 547, 519, 6989, 543, 538, 1899, 609, 707, 1394, 269, 2311, 519, 1482, 942, 267, 22962, 707, 2451, 6186, 865, 602, 621, 568, 1463, 585, 596, 269, 2659, 6186, 1058, 581, 513, 2786, 1899, 609, 707, 1560, 543, 1318, 1850, 269, 4858, 576, 707, 14159, 6091, 543, 1832, 519, 6177, 6253, 662, 2990, 585, 827, 476, 1015, 7643, 269, 22165, 515, 538, 543, 2132, 707, 6186, 543, 1850, 547, 519, 4358, 2990, 269, 19244, 713, 609, 2451, 1850, 543, 1318, 6186, 269, 1677, 1039, 513, 4161, 267, 1106, 707, 21401, 1688, 883, 513, 9395, 31329, 543, 7444, 7485, 10945, 563, 289, 2273, 13928, 11644, 11588, 281, 8490, 7736, 4269, 454, 2691, 7900, 519, 6177, 1673, 690, 3635, 267, 960, 593, 26176, 2088, 676, 2810, 519, 1297, 540, 10221, 1431, 269, 1411, 798, 711, 991, 547, 17945, 519, 17945, 2990, 3564, 476, 1015, 7643, 610, 10956, 621, 547, 519, 1448, 540, 4887, 9854, 269, 1323, 2500, 15904, 5161, 540, 2185, 10221, 1431, 538, 799, 596, 3180, 1142, 2022, 585, 476, 1015, 7643, 267, 4553, 676, 513, 2539, 1297, 540, 10221, 1431, 547, 946, 593, 1018, 1379, 596, 1869, 723, 267, 2687, 547, 17755, 650, 269, 634, 1883, 568, 547, 2226, 3337, 2429, 519, 3003, 3635, 267, 1437, 908, 519, 6091, 538, 707, 5580, 543, 2539, 1560, 267, 855, 711, 4929, 707, 1394, 547, 1847, 269, 4518, 8083, 5020, 5147, 476, 2190, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 7628, 3635, 899, 6972, 610, 4881, 267, 596, 3006, 1294, 707, 11263, 543, 3946, 2220, 749, 269, 4014, 713, 7509, 12802, 949, 581, 2352, 543, 13943, 267, 896, 3592, 782, 2175, 621, 568, 513, 3339, 12214, 3210, 547, 3635, 543, 568, 711, 513, 2014, 585, 15372, 269, 2368, 1004, 616, 811, 6213, 982, 1866, 585, 3635, 14001, 11926, 540, 519, 3946, 563, 19102, 1078, 1973, 3761, 454, 2691, 596, 3635, 267, 1747, 513, 8273, 2243, 593, 707, 1973, 10009, 543, 7929, 1949, 269, 1306, 1973, 2095, 4679, 547, 707, 2295, 267, 9641, 543, 6091, 267, 621, 6971, 538, 17119, 885, 899, 707, 11263, 269, 1306, 513, 1267, 267, 3579, 707, 11263, 543, 519, 3946, 267, 6679, 741, 1973, 8043, 9962, 267, 4611, 538, 30046, 610, 11926, 269, 23849, 617, 7976, 910, 634, 546, 7976, 540, 519, 1973, 8043, 910, 19171, 547, 519, 2960, 4523, 609, 4674, 543, 568, 835, 540, 519, 2081, 519, 1560, 13847, 3002, 689, 519, 1973, 607, 3635, 2112, 916, 707, 1062, 563, 5194, 2601, 596, 786, 5469, 11926, 1282, 519, 3635, 602, 666, 6952, 5277, 538, 707, 3946, 269, 20306, 677, 4679, 519, 2179, 540, 1973, 23028, 998, 707, 1560, 269, 634, 2462, 6091, 540, 707, 7953, 1847, 25525, 3585, 538, 1034, 3029, 540, 3635, 267, 855, 519, 6091, 540, 707, 7916, 616, 4130, 543, 666, 711, 960, 865, 2182, 269, 1879, 707, 5580, 17873, 616, 2630, 519, 1377, 540, 707, 2295, 267, 607, 789, 616, 950, 596, 3802, 610, 2196, 267, 8904, 2306, 621, 9875, 585, 5277, 547, 4734, 707, 3946, 267, 4929, 873, 547, 9514, 909, 563, 7212, 4686, 267, 513, 811, 4049, 1106, 540, 1560, 1591, 11926, 949, 12212, 2049, 693, 9845, 547, 1491, 851, 538, 14053, 23242, 2621, 971, 607, 2261, 987, 976, 269, 715, 3139, 3834, 517, 520, 8145, 807, 267, 713, 5906, 2783, 568, 3361, 676, 513, 3668, 540, 6190, 9770, 538, 519, 1560, 269, 14066, 5666, 540, 1216, 4235, 538, 3665, 4674, 666, 2014, 8650, 19717, 540, 3339, 9770, 2157, 269, 4033, 2589, 267, 1519, 10539, 267, 9854, 543, 13481, 267, 616, 7805, 538, 1840, 547, 11926, 538, 519, 3946, 543, 11263, 269, 15526, 16143, 540, 7092, 689, 3834, 517, 520, 8145, 807, 3340, 7525, 2564, 3007, 563, 7212, 972, 568, 1100, 1259, 547, 2061, 30046, 8108, 538, 707, 3946, 593, 4674, 267, 596, 666, 2061, 9636, 676, 9427, 14034, 267, 29167, 267, 610, 695, 16630, 609, 9395, 524, 32332, 1354, 2866, 269, 1306, 4166, 607, 596, 3247, 267, 519, 10009, 543, 4320, 540, 5714, 538, 707, 3946, 786, 2132, 547, 3339, 4166, 269, 4518, 8083, 5020, 5147, 476, 2537, 267, 476, 1001, 278, 1715, 5616, 22048, 17020, 2426, 267, 12868, 454, 2414, 3635, 267, 519, 1560, 2115, 5567, 899, 5946, 2073, 9600, 543, 11950, 1547, 2961, 8510, 6233, 616, 1271, 585, 519, 1648, 3761, 267, 865, 596, 723, 2614, 1648, 547, 2196, 513, 1434, 1279, 2196, 585, 1383, 269, 1403, 596, 723, 1932, 2370, 1648, 538, 707, 1560, 267, 596, 786, 5469, 602, 596, 616, 5488, 538, 707, 1379, 269, 26287, 1231, 616, 1271, 585, 4887, 6051, 269, 1635, 4189, 2614, 5946, 267, 707, 1560, 568, 1732, 2111, 547, 7816, 519, 4887, 3441, 540, 519, 3635, 563, 2005, 781, 711, 519, 2013, 602, 596, 2811, 11207, 856, 540, 7328, 950, 596, 5721, 593, 606, 8900, 7181, 269, 634, 1560, 568, 1869, 11112, 7558, 532, 519, 6484, 540, 519, 1554, 1354, 269, 6969, 707, 2732, 4625, 2007, 3949, 543, 519, 26520, 538, 519, 16003, 12826, 267, 596, 786, 723, 476, 272, 547, 476, 273, 2395, 2451, 269, 901, 1797, 602, 596, 1869, 723, 1648, 543, 2679, 2326, 269, 23657, 1259, 267, 798, 711, 581, 12922, 952, 596, 723, 711, 13881, 1134, 585, 513, 4222, 2866, 269, 11569, 267, 972, 616, 849, 7899, 540, 1379, 9845, 945, 1685, 1134, 593, 606, 8900, 7181, 269, 6733, 585, 9845, 945, 1246, 606, 26740, 17509, 4189, 1505, 269, 2659, 1560, 814, 811, 14425, 982, 596, 1589, 543, 538, 1840, 267, 519, 2790, 2460, 4249, 606, 1271, 1909, 269, 645, 1168, 732, 540, 28491, 610, 3635, 609, 606, 8900, 7181, 269, 3502, 16764, 666, 798, 1134, 609, 713, 563, 1692, 1279, 1354, 3635, 1058, 596, 3548, 286, 594, 18973, 9845, 547, 3548, 513, 2462, 7594, 585, 1079, 610, 1614, 3108, 1354, 513, 630, 12741, 264, 2866, 269, 1452, 666, 581, 513, 1906, 32409, 609, 24113, 7423, 267, 9269, 6089, 267, 513, 1434, 19997, 609, 18437, 610, 513, 3905, 7594, 269, 1280, 3063, 1648, 267, 596, 666, 1491, 1776, 19337, 585, 3368, 606, 5662, 1354, 519, 2866, 610, 513, 26889, 540, 11945, 21360, 563, 288, 2462, 7594, 585, 519, 2866, 630, 274, 3108, 1354, 2866, 264, 568, 2523, 1271, 585, 9845, 269, 769, 1379, 5026, 1315, 8516, 596, 616, 1447, 8200, 593, 519, 1648, 3761, 540, 11950, 269, 26287, 1231, 616, 519, 1292, 2707, 540, 4887, 7816, 1318, 1310, 2866, 269, 634, 1840, 540, 5266, 1164, 11950, 1310, 2866, 1281, 711, 3100, 547, 581, 540, 1390, 1871, 585, 4887, 7816, 585, 519, 942, 1373, 563, 11795, 2397, 609, 9845, 454, 3528, 4189, 513, 19346, 3638, 7594, 476, 273, 547, 476, 274, 3108, 1354, 519, 2866, 596, 786, 5469, 602, 596, 666, 3180, 513, 1978, 10605, 585, 513, 2370, 3476 ]

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

[ 1472, 476, 1911, 332, 1472, 476, 4572, 271, 267, 543, 2951, 1131, 723, 1044, 1454, 811, 3908, 269, 1809, 2949, 594, 3858, 602, 519, 5001, 7829, 538, 476, 1708, 271, 814, 1044, 865, 828, 532, 563, 3963, 798, 596, 1589, 602, 286, 1358, 1767, 519, 1482, 3364, 1310, 834, 1873, 710, 2770, 257, 1282, 15525, 269, 26023, 267, 649, 1175, 3893, 18822, 563, 17606, 568, 17033, 513, 6830, 8462, 602, 713, 3884, 1406, 835, 540, 519, 1390, 2527, 13680, 1399, 2621, 538, 1977, 1686, 2223, 27050, 28822, 664, 267, 945, 729, 24068, 779, 8783, 540, 5234, 693, 519, 942, 267, 1767, 540, 670, 272, 301, 272, 538, 476, 1001, 280, 269, 968, 2005, 1185, 4986, 547, 798, 609, 721, 3257, 4376, 1318, 269, 898, 1175, 1185, 547, 798, 609, 9939, 269, 1403, 4896, 14659, 602, 713, 666, 1406, 4755, 1586, 267, 789, 1810, 1406, 723, 547, 979, 1394, 547, 476, 4489, 279, 267, 789, 1175, 723, 547, 979, 1394, 547, 476, 1220, 280, 267, 476, 1001, 271, 543, 4952, 513, 3644, 609, 513, 1114, 29723, 1275, 267, 543, 596, 666, 1175, 798, 519, 2979, 593, 602, 3034, 2005, 781, 27613, 2097, 19692, 2864, 982, 2663, 269, 18972, 1958, 25209, 593, 519, 2067, 9249, 540, 2831, 782, 936, 519, 1158, 267, 799, 4679, 519, 1297, 1990, 3019, 4680, 13497, 269, 4107, 971, 21383, 13569, 1810, 1405, 2014, 1022, 2417, 1480, 547, 1480, 3262, 269, 6056, 540, 631, 8991, 269, 1809, 972, 616, 21383, 13569, 602, 798, 3262, 1063, 3425, 267, 899, 538, 519, 2013, 540, 16568, 4211, 990, 268, 273, 269, 2755, 519, 5046, 6855, 568, 513, 2101, 15166, 15577, 267, 649, 941, 1869, 3833, 18822, 269, 631, 8991, 814, 513, 1454, 2362, 2013, 3170, 1275, 5223, 269, 23985, 602, 19082, 607, 3362, 607, 16568, 4211, 990, 268, 273, 1247, 1373, 607, 14686, 607, 631, 8991, 568, 7357, 2009, 563, 2171, 1058, 1376, 8600, 2899, 1034, 540, 519, 2551, 568, 18764, 543, 1480, 7239, 723, 8120, 547, 3339, 269, 3763, 543, 1449, 17617, 597, 1023, 3077, 1154, 519, 24721, 5946, 538, 2101, 3644, 3885, 269, 12706, 513, 18180, 602, 666, 4431, 547, 1007, 8290, 3533, 609, 513, 6669, 269, 8073, 19206, 547, 3533, 19856, 909, 2527, 2504, 540, 623, 14154, 269, 10934, 519, 8290, 602, 2408, 538, 2831, 1472, 721, 547, 917, 1018, 649, 616, 909, 547, 563, 296, 4126, 602, 2797, 3401, 786, 6432, 547, 519, 1004, 3257, 971, 18747, 563, 296, 4126, 602, 519, 1007, 22328, 2029, 519, 26172, 6500, 543, 589, 313, 10074, 616, 1759, 593, 786, 948, 721, 1020, 543, 5478, 811, 3533, 269, 634, 6765, 7271, 786, 581, 1134, 268, 25969, 267, 519, 18180, 786, 581, 972, 267, 519, 12145, 3815, 1131, 1869, 581, 6616, 1018, 547, 3077, 543, 9584, 585, 3106, 27160, 24351, 855, 621, 1058, 1869, 948, 563, 296, 4126, 2147, 1919, 666, 581, 2944, 609, 4028, 18970, 18025, 10135, 4152, 3937, 563, 3080, 540, 519, 4245, 602, 594, 4312, 4121, 689, 713, 6855, 568, 602, 5103, 11566, 2963, 543, 936, 513, 2929, 7972, 267, 972, 781, 513, 1875, 2389, 337, 20190, 2179, 540, 1004, 945, 1869, 3494, 621, 781, 711, 1483, 267, 610, 945, 20549, 547, 5957, 513, 9633, 267, 610, 945, 13889, 1996, 519, 1906, 267, 7646, 267, 10257, 3800, 649, 666, 1491, 547, 1205, 998, 713, 9800, 269, 1924, 952, 4376, 267, 1250, 5132, 538, 30768, 814, 8854, 1524, 2433, 18692, 763, 1249, 602, 1004, 666, 581, 12777, 12955, 689, 5046, 538, 513, 6413, 2943, 1869, 20912, 922, 6228, 814, 3592, 11207, 10032, 1022, 5132, 594, 723, 538, 8103, 563, 16591, 3659, 540, 9553, 568, 513, 12016, 269, 2701, 814, 2938, 1004, 538, 519, 18317, 609, 13044, 20912, 602, 621, 6818, 1932, 269, 1703, 781, 1004, 4867, 593, 5135, 945, 979, 834, 333, 1695, 602, 3085, 1405, 2291, 594, 1810, 1405, 723, 621, 267, 519, 2923, 1500, 602, 909, 2668, 1924, 9493, 1695, 454, 14188, 2685, 267, 1272, 814, 513, 1259, 540, 8939, 1996, 1004, 945, 3111, 547, 957, 547, 8190, 741, 1378, 563, 22829, 4660, 607, 2576, 4171, 535, 4800, 568, 606, 15096, 308, 12016, 994, 19013, 602, 3085, 1405, 960, 865, 1134, 585, 513, 2068, 4171, 1292, 2707, 540, 1981, 547, 1142, 1268, 568, 519, 7180, 540, 824, 1004, 563, 4002, 513, 1114, 942, 4336, 621, 1281, 269, 898, 779, 8939, 1996, 2516, 4882, 1539, 7724, 602, 8007, 267, 1871, 610, 11863, 519, 5686, 540, 19326, 543, 3661, 1949, 602, 1450, 971, 2915, 3022, 569, 27315, 995, 22293, 547, 21707, 563, 28989, 267, 602, 3085, 1405, 960, 950, 1034, 2516, 4882, 1539, 7724, 616, 26945, 538, 16431, 269, 4634, 1034, 1004, 1373, 10257, 3884, 1405, 2614, 950, 519, 2623, 540, 519, 1906, 945, 5749, 1405, 1590, 581, 7109, 730, 538, 519, 2012, 540, 5191, 269, 1924, 2067, 5542, 4805, 4465, 1405, 2965, 2087, 4376, 563, 12892, 16817, 1143, 267, 9800, 543, 1134, 593, 670, 301, 2483, 1607, 568, 4890, 16817, 1143, 563, 2005, 781, 513, 9490, 569, 7262, 7613, 269, 4658, 1522, 581, 1289, 748, 827, 3106, 3800, 1934, 538, 3127, 267, 855, 11613, 1100, 835, 538, 1250, 6905, 5858, 540, 2828, 543, 1920, 814, 2479, 17792, 922, 6228, 610, 602, 621, 781, 1945, 1004, 991, 547, 581, 6297, 827, 563, 10908, 984, 958, 972, 781, 2484, 811, 3972, 585, 5238, 543, 6392, 982, 538, 3013, 269, 27639, 799, 2463, 519, 11361, 267, 519, 3318, 267, 543, 519, 4013, 269, 4634, 3564, 2463, 621, 11498, 547, 24150, 538, 930, 4025, 563, 296, 9090, 1294, 621, 538, 1250, 1378, 2528, 267, 799, 568, 6259, 269, 898, 781, 513, 5595, 1196, 3022, 18156, 267, 543, 666, 581, 1767, 547, 5512, 2417, 15746, 267, 855, 538, 513, 6433, 3510, 621, 781, 3730, 563, 20278, 707, 5132, 538, 2067, 5542, 563, 1103, 1840, 547, 1373, 30299, 267, 713, 18941, 568, 7168, 3765, 7666, 3660, 269, 634, 5542, 2604, 568, 2484, 1932, 7646, 547, 723, 1022, 12105, 1764, 563, 2414, 17642, 281, 524, 10604, 2824, 338, 5097, 1996, 2043, 3564, 741, 10285, 2085, 267, 2824, 338, 2484, 1932, 1507, 540, 519, 2551, 630, 684, 1652, 649, 1294, 891, 7972, 3136, 585, 5756, 1070, 543, 568, 1152, 7646, 569, 8939, 585, 4550, 9633, 5095, 563, 7197, 11932, 267, 1373, 4550, 2173, 2532, 666, 1405, 581, 11911, 547, 513, 2312, 4719, 4756, 630, 24392, 594, 15475, 972, 1522, 581, 930, 1360, 4617, 9756, 1070, 543, 2067, 5542, 3217, 1259, 267, 1259, 3476, 982, 513, 1480, 10715, 547, 1711, 18476, 2164, 19037, 269, 3502, 1256, 3478, 883, 519, 1249, 602, 972, 781, 1454, 811, 547, 4720, 982, 2067, 5542, 269, 898, 2965, 1085, 4100, 803, 602, 27581, 834, 2889, 1606, 7220, 257, 1004, 723, 971, 16866, 5784, 827, 621, 563, 9616, 602, 519, 2053, 7051, 585, 7487, 2164, 568, 1644, 547, 519, 5542, 2604, 269, 1411, 666, 1294, 1360, 3728, 2164, 630, 324, 3052, 269, 513, 2582, 610, 1906, 5481, 264, 952, 519, 2604, 568, 9058, 563, 28425, 9590, 298, 713, 1152, 4523, 3842, 11461, 6304, 630, 5408, 3425, 16496, 9960, 540, 7031, 267, 5243, 267, 29372, 267, 3092, 994, 12179, 821, 945, 13000, 2257, 607, 513, 4984, 7475, 909, 609, 513, 7168, 32049, 13919, 563, 2791, 666, 4894, 2257, 689, 602, 3948, 543, 621, 3513, 1869, 581, 3020, 269, 5808, 1197, 24283, 741, 13919, 689, 4984, 786, 693, 2053, 13789, 7168, 705, 1817, 1370, 569, 563, 14188, 2685, 19951, 1256, 1004, 19101, 789, 798, 865, 1419, 2965, 1810, 1405, 269, 594, 4318, 32270, 568, 993, 7394, 2687, 547, 519, 5931, 267, 855, 2486, 6410, 593, 585, 519, 1034, 851, 563, 600, 7394, 815, 270, 284, 1799, 7394, 454, 2791, 666, 4894, 4984, 543, 13919, 689, 602, 3948, 543, 621, 3513, 1869, 581, 3020, 563, 10144, 786, 693, 2053, 13789, 7168, 705, 1817, 1370, 569, 563, 1805, 16433, 7012, 1405, 3909, 267, 855, 646, 1869, 15748, 513, 17254, 4842, 26718, 540, 1010, 1378, 2197, 5443, 269, 667, 527, 1729, 31474, 563, 9617, 3843, 547, 1118, 519, 1448, 602, 1373, 29695, 31426, 609, 1373, 1480, 267, 711, 1373, 3909, 563, 1432, 2337, 803, 547, 1832, 5132, 538, 8103, 568, 31935, 1373, 9800, 1282, 31595, 30778, 942, 269, 1215, 3411, 20814, 621, 1590, 723, 1044, 585, 1864, 547, 1265, 3025, 10876, 7947, 532, 2257, 907, 286, 17610, 649, 723, 513, 1804, 1297, 540, 1004, 1631, 602, 1810, 1406, 3494, 538, 13968, 267, 10074, 267, 3092, 907, 267, 855, 1832, 538, 2247, 602, 519, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 269, 18776, 568, 1373, 1500, 267, 1175, 3006, 621, 3340, 513, 1900, 1394, 547, 1294, 621, 563, 285, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 454, 2791, 2811, 606, 23904, 835, 269, 1358, 1131, 723, 20366, 585, 513, 1614, 682, 13949, 1810, 4486, 609, 513, 9224, 8258, 543, 4154, 5694, 269, 1306, 1279, 607, 621, 7012, 1405, 29382, 307, 563, 763, 3364, 602, 26208, 803, 827, 2413, 6214, 568, 875, 1454, 13842, 972, 568, 269, 594, 4898, 952, 621, 729, 2141, 713, 3983, 267, 610, 952, 519, 4950, 1175, 31438, 513, 1769, 593, 1018, 729, 2141, 972, 563, 2005, 2731, 729, 711, 2141, 899, 713, 269, 2311, 782, 563, 5278, 1004, 16620, 519, 4473, 540, 476, 2190, 3108, 10814, 3377, 9055, 269, 11524, 16620, 519, 4473, 540, 519, 5769, 269, 5637, 540, 891, 723, 547, 798, 609, 22412, 908, 811, 1344, 547, 811, 1004, 269, 1772, 621, 519, 1249, 602, 972, 568, 811, 1344, 630, 31642, 640, 264, 610, 568, 519, 1344, 3294, 630, 638, 1275, 25145, 6546, 779, 1434, 547, 917, 563, 296, 1810, 1406, 917, 267, 8726, 621, 568, 267, 594, 2731, 3138, 7752, 621, 269, 898, 779, 18374, 7543, 547, 723, 513, 7787, 4901, 827, 4376, 1644, 547, 6214, 269, 18421, 4667, 547, 632, 2102, 4733, 883, 31737, 3929, 7440, 2864, 982, 7234, 4890, 5013, 563, 296, 1589, 602, 781, 1317, 513, 264, 513, 2603, 540, 1004, 19951, 1589, 741, 4606, 3180, 811, 2956, 982, 18825, 3116, 781, 5013, 630, 719, 14141, 568, 513, 15265, 25129, 264, 543, 536, 264, 519, 5013, 2933, 723, 1831, 1447, 15889, 1317, 972, 4667, 547, 581, 513, 16221, 540, 5011, 547, 4376, 267, 609, 865, 1082, 2959, 8380, 741, 8095, 593, 1919, 602, 1256, 1175, 21945, 693, 513, 9243, 3490, 585, 606, 4661, 3217, 811, 4674, 982, 1004, 616, 8348, 270, 4754, 6488, 547, 13358, 269, 23883, 1317, 602, 4674, 814, 547, 581, 1163, 2105, 1996, 519, 7485, 540, 741, 1378, 12886, 267, 799, 723, 20335, 7168, 31737, 7064, 547, 519, 2228, 16079, 20830, 269, 15465, 4744, 28585, 568, 9688, 532, 267, 865, 1004, 1419, 1175, 9505, 1524, 543, 979, 883, 3929, 8396, 7154, 950, 5185, 609, 15852, 5784, 267, 1256, 950, 519, 5784, 616, 4843, 538, 513, 24534, 6073, 4534, 543, 6140, 267, 789, 616, 711, 267, 1317, 1946, 21898, 952, 519, 575, 5285, 568, 2907, 865, 1804, 543, 519, 1004, 593, 519, 824, 2427, 616, 5693, 18986, 1824, 563, 31800, 1695, 1134, 1394, 950, 13334, 3323, 18594, 1681, 7044, 11021, 513, 4276, 1063, 6171, 667, 10638, 543, 524, 10604, 621, 2968, 7168, 2312, 2053, 616, 711, 3226, 4957, 689, 8895, 773, 334, 779, 563, 27745, 596, 1683, 513, 2707, 5225, 286, 21518, 519, 7044, 1818, 6811, 602, 2921, 12192, 667, 1131, 2149, 1996, 5046, 610, 930, 824, 25749, 267, 610, 941, 789, 11307, 2954, 6158, 827, 9019, 3928, 540, 1346, 609, 642, 6185, 19518, 888, 296, 1589, 972, 568, 513, 2312, 3017, 538, 4357, 5867, 16069, 519, 3262, 540, 25749, 630, 9767, 5749, 1406, 1863, 547, 946, 741, 3760, 547, 3262, 1344, 5739, 547, 2486, 264, 543, 1018, 5949, 547, 31595, 563, 3719, 594, 993, 1818, 606, 13429, 1317, 594, 1810, 1406, 2965, 917, 1018, 7044, 596, 616, 13288, 547, 563, 290, 839, 1681, 286, 1546, 15065, 564, 1944, 6148, 855, 789, 798, 602, 609, 1169, 3381, 4304, 13044, 1100, 2339, 519, 9115, 563, 763, 1249, 602, 13334, 6818, 693, 782, 2982, 875, 1454, 1919, 723, 4957, 2094, 31595, 563, 285, 5354, 540, 519, 2442, 8917, 538, 519, 2475, 20366, 585, 2576, 602, 1281, 3494, 538, 2257, 454, 3963, 1131, 11686, 1489, 18965, 10074, 952, 646, 4769, 1406, 3494, 538, 5046, 543, 2257, 888, 5445, 917, 5046, 568, 1483, 543, 789, 3592, 6157, 3494, 538, 2257, 269, 1358, 1175, 1810, 1405, 1416, 952, 621, 3085, 1405, 1899, 741, 22836, 563, 13070, 872, 267, 855, 602, 3085, 1406, 6474 ]

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

[ 3177, 602, 519, 3312, 960, 568, 5265, 11855, 563, 5472, 4930, 3370, 538, 4139, 6732, 4750, 540, 12729, 4065, 630, 22473, 297, 14154, 264, 616, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 476, 275, 269, 271, 4139, 17821, 630, 6717, 15760, 476, 275, 269, 271, 1916, 12179, 2417, 3892, 610, 946, 540, 1543, 3370, 896, 16671, 15760, 476, 275, 269, 271, 1590, 2270, 519, 2278, 4433, 264, 543, 519, 3370, 2376, 779, 2140, 267, 543, 4760, 11239, 269, 2353, 4930, 3370, 538, 594, 302, 297, 14154, 896, 513, 16671, 15760, 17821, 949, 581, 1031, 585, 7956, 543, 4578, 14086, 5301, 267, 1641, 547, 519, 2175, 540, 519, 16671, 15760, 17821, 2474, 269, 634, 12689, 2636, 585, 5010, 946, 269, 594, 302, 297, 14154, 2636, 556, 22852, 547, 15814, 267, 1121, 1460, 267, 3082, 267, 543, 1628, 2390, 519, 1570, 538, 1022, 5420, 610, 3898, 267, 865, 1279, 607, 5316, 1081, 568, 2016, 547, 519, 17082, 563, 763, 4760, 779, 6662, 568, 547, 22412, 622, 4930, 3370, 616, 1863, 269, 7201, 519, 11300, 12780, 12689, 630, 6717, 15760, 476, 275, 269, 876, 1070, 519, 4760, 2636, 519, 3593, 547, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 543, 1256, 946, 519, 8313, 585, 5010, 2238, 267, 3177, 602, 519, 3312, 960, 568, 5265, 11855, 563, 15411, 1569, 568, 606, 1935, 602, 552, 1162, 519, 15834, 2792, 543, 7512, 9316, 1851, 1114, 10459, 269, 594, 302, 297, 14154, 267, 4061, 267, 8309, 547, 922, 1378, 2361, 676, 3246, 811, 1569, 547, 922, 4930, 543, 513, 811, 12001, 2689, 1184, 269, 0, 7212, 26637, 658, 8316, 25079, 5206, 634, 25753, 2280, 14594, 538, 519, 1647, 540, 519, 13524, 2540, 267, 646, 5206, 621, 1210, 513, 2511, 543, 1641, 2339, 602, 8308, 10630, 519, 16431, 543, 1259, 540, 1272, 540, 2038, 21152, 538, 8830, 11939, 19899, 1663, 10642, 1715, 4789, 269, 2755, 930, 540, 519, 2035, 3769, 538, 519, 1650, 949, 581, 2352, 547, 1174, 950, 3168, 693, 873, 689, 513, 2413, 1448, 540, 2070, 267, 950, 891, 1919, 616, 5116, 538, 741, 3140, 2796, 267, 789, 1831, 1454, 4443, 547, 1174, 269, 1280, 1383, 267, 519, 2856, 602, 670, 6856, 1223, 711, 1175, 2196, 1055, 609, 1234, 3164, 526, 17435, 6996, 23014, 4667, 10169, 21173, 547, 519, 2413, 1158, 1317, 1352, 22821, 1406, 2938, 1200, 9393, 2094, 1352, 2451, 4789, 543, 4769, 1406, 1616, 547, 19533, 1864, 547, 2253, 609, 563, 2171, 786, 2328, 513, 2688, 3194, 7433, 593, 634, 3778, 19992, 634, 25753, 2280, 14594, 281, 1259, 540, 1272, 540, 2038, 21152, 538, 8830, 11939, 19899, 1663, 10642, 1715, 4789, 4481, 585, 596, 454, 3199, 278, 14468, 5830, 2228, 454, 9213, 779, 1158, 1131, 711, 723, 513, 1966, 609, 513, 4807, 945, 2451, 1200, 9393, 896, 1447, 593, 2730, 6381, 563, 4913, 267, 519, 8830, 11939, 2486, 538, 799, 670, 6856, 729, 9277, 547, 723, 5030, 1131, 723, 2808, 713, 513, 2481, 333, 762, 25213, 543, 1131, 8209, 26723, 2350, 1125, 670, 6856, 689, 782, 30251, 2486, 585, 519, 1964, 540, 1200, 1272, 267, 7488, 540, 1018, 3116, 1352, 1705, 269, 1677, 1174, 713, 2796, 267, 1287, 267, 621, 568, 2556, 547, 1413, 693, 519, 3909, 267, 1514, 267, 543, 2825, 2188, 602, 11658, 670, 6856, 538, 519, 476, 8182, 271, 338, 563, 303, 584, 11939, 1143, 9598, 730, 1175, 827, 3388, 3238, 538, 7810, 1272, 538, 476, 8182, 271, 338, 1715, 4789, 267, 1256, 1519, 875, 1004, 14437, 609, 1142, 824, 267, 875, 789, 21039, 267, 543, 1018, 2186, 540, 3347, 789, 1185, 269, 968, 1103, 1840, 547, 18468, 538, 519, 6207, 16285, 540, 2696, 267, 519, 2698, 1244, 571, 6143, 540, 812, 267, 543, 519, 2347, 13829, 540, 1480, 7919, 593, 10143, 11419, 585, 20778, 267, 789, 14129, 519, 2956, 540, 2123, 3909, 1995, 892, 630, 289, 578, 6577, 267, 476, 1220, 275, 1040, 5221, 540, 713, 4276, 547, 2123, 3909, 1995, 267, 670, 6856, 6785, 1352, 1131, 711, 581, 2111, 547, 2196, 2476, 689, 1200, 7365, 642, 3298, 547, 19533, 1776, 1256, 952, 1352, 1705, 12701, 873, 538, 1200, 2078, 547, 1234, 3164, 526, 17435, 6996, 23014, 269, 1306, 513, 8830, 11939, 9887, 267, 1352, 1185, 547, 2611, 538, 519, 8498, 607, 513, 9310, 4807, 607, 729, 8815, 2390, 538, 1200, 7365, 547, 3220, 269, 623, 787, 333, 928, 267, 513, 6390, 23011, 932, 3739, 10290, 267, 2394, 1352, 1185, 21533, 602, 646, 729, 21549, 563, 12179, 2251, 1447, 1131, 723, 26991, 1200, 1378, 4155, 547, 20778, 1256, 1498, 1352, 1185, 711, 9310, 1864, 32380, 269, 2755, 621, 568, 1419, 2653, 547, 14487, 670, 6856, 779, 7965, 547, 1200, 2486, 4805, 267, 621, 1590, 581, 15422, 602, 670, 6856, 9887, 729, 513, 1825, 591, 538, 519, 8830, 11939, 4984, 269, 4495, 670, 6856, 779, 5728, 729, 856, 267, 621, 729, 6654, 547, 519, 3003, 8498, 602, 670, 6856, 729, 711, 3177, 609, 519, 1482, 4110, 540, 5132, 607, 519, 1964, 540, 519, 27142, 543, 729, 4061, 513, 3152, 5609, 1676, 269, 1677, 3094, 1200, 1747, 538, 13140, 267, 621, 729, 2556, 585, 1200, 547, 7985, 519, 9803, 4567, 593, 3618, 547, 798, 4050, 766, 585, 1200, 2250, 23339, 269, 4014, 670, 6856, 554, 919, 1200, 25243, 4484, 267, 1352, 31273, 621, 1312, 1317, 1352, 568, 18617, 1352, 814, 8149, 519, 10782, 5609, 267, 855, 849, 1317, 519, 2486, 538, 799, 1352, 2729, 786, 2760, 1450, 1200, 547, 7340, 602, 1352, 568, 519, 10782, 5609, 1676, 540, 873, 782, 269, 901, 568, 519, 2601, 670, 6856, 7024, 547, 1200, 2025, 1753, 538, 519, 1439, 267, 2921, 909, 1200, 16663, 543, 519, 25243, 4484, 2394, 1200, 2669, 563, 763, 8830, 30808, 4371, 513, 7453, 1514, 1931, 602, 3576, 883, 2272, 1142, 824, 779, 9228, 32660, 563, 11997, 267, 1346, 945, 941, 2808, 6251, 547, 2696, 1185, 513, 2362, 1514, 7584, 538, 2486, 689, 1346, 945, 941, 2808, 547, 581, 6251, 547, 5609, 269, 8729, 547, 519, 1650, 540, 14088, 543, 18832, 267, 2367, 941, 9228, 547, 581, 6251, 547, 2696, 982, 2021, 543, 3909, 2367, 941, 6251, 547, 2696, 982, 1346, 945, 5249, 519, 4610, 269, 968, 15987, 711, 519, 31097, 267, 1034, 10125, 538, 1715, 4789, 941, 13856, 676, 8830, 11939, 544, 2803, 543, 14985, 892, 630, 5141, 1046, 267, 476, 1960, 280, 1040, 4197, 713, 2306, 621, 4443, 547, 1294, 875, 1234, 3164, 526, 17435, 6996, 23014, 1223, 711, 581, 2938, 547, 581, 1997, 908, 5128, 609, 670, 6856, 1310, 23421, 729, 4535, 1317, 1352, 729, 513, 15468, 4807, 543, 646, 729, 519, 5207, 5837, 6392, 538, 519, 8498, 269, 1358, 3357, 689, 6587, 7475, 540, 519, 1514, 8552, 267, 835, 8204, 3665, 5609, 543, 519, 824, 8204, 10700, 32660, 269, 23421, 779, 6760, 729, 538, 3274, 1373, 4535, 269, 2701, 729, 4535, 1510, 513, 4651, 267, 538, 6654, 543, 26837, 4192, 18670, 540, 1200, 3993, 779, 16806, 642, 3298, 607, 1134, 607, 519, 2262, 540, 2696, 563, 12892, 569, 6340, 267, 713, 5921, 602, 1352, 729, 20109, 676, 519, 26881, 5128, 543, 729, 4061, 11515, 534, 543, 7938, 20564, 547, 12314, 609, 519, 824, 1453, 538, 519, 8498, 610, 547, 581, 5701, 609, 1022, 2186, 540, 8103, 676, 519, 824, 27142, 563, 4415, 782, 713, 10792, 2126, 540, 711, 1152, 9887, 267, 855, 849, 540, 1200, 1126, 267, 621, 568, 2352, 585, 513, 1268, 538, 2413, 2053, 547, 1174, 1946, 670, 6856, 4769, 1406, 1175, 3640, 909, 543, 4734, 585, 1776, 4884, 563, 1607, 568, 538, 1804, 851, 1317, 540, 519, 6639, 8441, 540, 519, 942, 543, 519, 22524, 11163, 519, 10125, 1185, 609, 835, 1776, 269, 16690, 625, 941, 711, 8209, 865, 9674, 689, 1142, 824, 547, 519, 1448, 602, 670, 6856, 1223, 711, 723, 1500, 519, 3460, 547, 519, 1985, 4884, 593, 1200, 1378, 269, 1717, 267, 952, 1352, 1185, 267, 972, 729, 1100, 10018, 602, 972, 1131, 581, 513, 1753, 7996, 585, 1200, 547, 1847, 883, 269, 968, 19465, 5321, 543, 9591, 11396, 2838, 14021, 543, 1419, 1394, 12577, 547, 559, 892, 630, 297, 2158, 267, 476, 6977, 274, 1070, 2495, 8259, 513, 7385, 729, 4397, 267, 972, 729, 1100, 2601, 585, 513, 1753, 547, 581, 7555, 8900, 32261, 513, 4557, 656, 269, 1717, 267, 1256, 1185, 1352, 7753, 602, 21677, 267, 4123, 602, 11478, 1063, 519, 8830, 11939, 10125, 1131, 723, 24458, 1200, 25243, 4484, 1131, 723, 4553, 1200, 1100, 2339, 1141, 1352, 4682, 607, 1279, 607, 1352, 18423, 1369, 1200, 3909, 5943, 269, 769, 1840, 267, 21152, 1336, 621, 2556, 547, 7048, 2390, 1142, 824, 585, 32351, 998, 519, 1279, 267, 4411, 24475, 540, 519, 1715, 4789, 1604, 563, 2108, 6124, 4789, 619, 7960, 606, 6946, 1357, 540, 22524, 11163, 547, 2743, 519, 3747, 585, 4074, 267, 2324, 585, 12543, 945, 4421, 741, 4074, 538, 2132, 892, 630, 297, 2158, 267, 476, 6977, 274, 1040, 4014, 670, 6856, 779, 6760, 729, 2808, 835, 540, 519, 10782, 10963, 602, 1223, 581, 8149, 267, 621, 1131, 711, 723, 6039, 519, 12733, 547, 723, 1200, 19526, 2476, 538, 7890, 267, 6862, 1131, 621, 723, 1044, 2009, 585, 1200, 547, 723, 32206, 1200, 1272, 11992, 269, 7053, 267, 621, 729, 2808, 2556, 585, 21152, 267, 2523, 4775, 21152, 267, 547, 6529, 2673, 547, 519, 11175, 607, 513, 2268, 547, 2149, 2933, 1996, 7654, 20935, 12075, 269, 901, 568, 2938, 538, 634, 25753, 2280, 14594, 607, 621, 3587, 10423, 602, 23011, 623, 787, 333, 928, 729, 1033, 7134, 689, 556, 14765, 1456, 1010, 7385, 1317, 646, 1185, 1044, 9676, 676, 12075, 543, 1185, 1152, 5063, 17956, 1010, 5305, 1354, 588, 22824, 883, 30561, 563, 27916, 24071, 676, 891, 2825, 4145, 540, 2713, 538, 513, 23661, 569, 20651, 1007, 12733, 538, 519, 19069, 267, 519, 14461, 1514, 15796, 543, 519, 1256, 31749, 28975, 540, 8830, 11939, 1143, 607, 621, 729, 13736, 1312, 676, 519, 27142, 543, 5156, 676, 670, 6856, 9887, 267, 972, 729, 2370, 4781, 2429, 519, 1650, 585, 1022, 824, 6364, 269, 634, 3490, 6712, 540, 1480, 2470, 4547, 670, 6856, 543, 1234, 3164, 526, 17435, 6996, 23014, 1927, 1317, 540, 741, 20420, 543, 741, 2067, 1480, 16007, 563, 4913, 267, 519, 2362, 10912, 540, 741, 4984, 267, 2486, 267, 543, 1604, 8209, 6854, 873, 6306, 269, 16874, 1175, 835, 540, 891, 2609, 1044, 1114, 267, 519, 6364, 1522, 723, 1044, 1454, 1114, 269, 8316, 25079, 13978, 3020, 547, 519, 3332, 540, 519, 1974, 676, 9306, 513, 1650, 602, 1312, 7710, 1480, 2470, 607, 1945, 30758, 585, 9409, 543, 602, 20205, 513, 28005, 517, 540, 12204, 3823, 1018, 621, 3217, 547, 2661, 513, 2048, 16591, 1272, 563, 289, 578, 6577, 267, 8361, 2782, 1676, 269, 968, 13563, 8830, 11939, 1143, 1848, 476, 1220, 275, 269, 5617, 10079, 269, 5680, 563, 7476, 707, 1101, 1957, 609, 476, 1428, 260, 5508, 293, 454, 5141, 1046, 267, 7812, 623, 269, 968, 303, 584, 11939, 1143, 1848, 15610, 540, 1977, 9085, 269, 24697, 681, 269, 5395, 2378, 514, 1299, 21238, 645, 21043, 523, 630, 32295, 12175, 1715, 3840, 281, 8033, 10840, 23255, 267, 476, 1960, 280, 267, 6032, 269, 476, 280, 2641, 268, 2190, 269, 5680, 563, 295, 1177, 25079, 267, 26637, 1408, 269, 634, 25753, 2280, 14594, 269, 1715, 3840, 281, 21238, 623, 269, 12928, 641, 325, 267, 476, 1960, 273, 563, 297, 2158, 267, 2806, 1676, 667, 636, 2632, 269, 968, 290, 9051, 631, 1430, 1848, 634, 16503, 3603, 1977, 22335, 269, 1715, 3840, 281, 808, 269, 29859, 543, 7577, 267, 476, 6977, 274, 267, 533, 269, 476, 6795, 269, 5680, 269, 0, 20779, 1815, 565, 322, 710, 630, 9188, 659, 25485, 332, 14007, 3712, 577, 21778, 264, 568, 835, 540, 513, 1297, 540, 30175, 6950, 799, 723, 1044, 9678, 689, 519, 2030, 2051, 577, 32337, 15489, 1446, 267, 799, 568, 849, 519, 2707, 540, 897, 577, 21778, 269, 634, 3114, 2497, 540, 1629, 1815, 565, 322, 710, 15320, 689, 897, 577, 21778, 1152, 538, 602, 513, 18861, 1895, 30283, 519, 1035, 25485, 1895, 693, 519, 715, 2990, 540, 519, 897, 577, 21778, 11140, 630, 8993, 269, 476, 272, 1040, 272, 267, 273, 454, 19617, 2730, 2090, 540, 519, 14278, 1670, 2360, 540, 713, 3075, 538, 2831, 723, 1044, 4080, 269, 272, 267, 274, 268, 276, 898, 814, 1044, 1031, 538, 13066, 540, 476, 274, 547, 476, 736, 8406, 269, 3232, 585, 519, 2126, 540, 2550, 609, 5312, 24869, 18100, 26679, 543, 824, 683, 31129, 3676, 269, 30887, 14528 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23409, 2890, 23054, 540, 8830, 7219, 16660, 11409, 630, 2775, 4544, 264, 538, 519, 6147, 31616, 269, 715, 2925, 2281, 540, 519, 2634, 957, 15217, 547, 1184, 1344, 2877, 585, 1697, 5042, 8647, 269, 630, 290, 13072, 281, 19378, 717, 338, 577, 1889, 1170, 1676, 13478, 7220, 17421, 7732, 270, 2704, 18081, 14351, 17421, 994, 307, 3757, 7611, 689, 519, 9018, 851, 540, 513, 3911, 559, 1314, 3597, 267, 20515, 513, 5394, 2914, 6817, 3834, 25866, 529, 630, 1410, 25866, 529, 264, 9944, 519, 28603, 529, 269, 2290, 3834, 25866, 531, 1591, 568, 711, 5394, 2989, 269, 630, 5475, 918, 269, 10507, 879, 267, 7233, 22845, 267, 476, 273, 323, 1196, 1421, 3627, 25067, 543, 25860, 267, 476, 3422, 276, 994, 306, 1122, 7695, 540, 7799, 15252, 25168, 1335, 639, 269, 769, 935, 5477, 2963, 6920, 602, 972, 616, 476, 1428, 12415, 630, 277, 538, 519, 5294, 5448, 267, 476, 280, 538, 519, 1566, 626, 327, 657, 5448, 1040, 634, 512, 15625, 630, 311, 309, 264, 949, 581, 513, 12363, 12636, 602, 814, 1831, 13994, 4327, 543, 814, 11368, 519, 606, 639, 883, 922, 3490, 269, 0, 21609, 1439, 9734, 618, 4016, 547, 17543, 8380, 513, 1126, 267, 540, 2085, 476, 1240, 1296, 610, 896, 267, 693, 1981, 269, 634, 8594, 949, 4125, 2168, 610, 5626, 2800, 269, 4132, 1439, 9734, 618, 568, 9286, 1851, 3978, 21688, 23888, 269, 9197, 1307, 602, 666, 581, 9286, 607, 1126, 1439, 9734, 618, 666, 1331, 513, 1297, 540, 1114, 5615, 269, 13689, 2390, 519, 10335, 540, 519, 25213, 267, 519, 1644, 10997, 666, 581, 21688, 3415, 610, 3765, 12047, 6756, 528, 563, 6826, 6409, 12542, 2334, 2052, 581, 3117, 30872, 607, 4132, 7736, 9734, 618, 454, 2467, 616, 513, 2647, 3099, 540, 5615, 602, 666, 581, 9286, 607, 519, 6760, 540, 1126, 1439, 9734, 618, 269, 589, 1592, 540, 891, 5615, 568, 2016, 607, 896, 912, 268, 2142, 908, 513, 1126, 16094, 454, 268, 2806, 9646, 532, 513, 1126, 538, 513, 19526, 1286, 693, 513, 3905, 1747, 454, 268, 3502, 5265, 8023, 519, 1126, 454, 268, 18227, 10363, 5061, 1369, 519, 3914, 540, 519, 1126, 454, 268, 670, 9879, 513, 1126, 2618, 10999, 998, 1022, 1259, 454, 21609, 1439, 9734, 618, 666, 1267, 689, 513, 3099, 540, 1114, 2081, 269, 4107, 569, 267, 1126, 1439, 9734, 618, 568, 2808, 547, 2049, 1152, 998, 2168, 1439, 9734, 618, 269, 23299, 540, 513, 2385, 547, 1683, 1010, 610, 1200, 1126, 609, 930, 540, 519, 2596, 1272, 29476, 568, 849, 2808, 607, 6411, 540, 1126, 1439, 9734, 618, 269, 1280, 3236, 267, 519, 30671, 540, 513, 2385, 547, 1683, 1010, 610, 1200, 1126, 609, 6646, 538, 2053, 540, 19210, 786, 581, 9286, 607, 1126, 1439, 9734, 618, 269, 1773, 5217, 513, 1126, 538, 606, 1604, 1141, 646, 610, 1352, 786, 581, 693, 1761, 1981, 568, 849, 2808, 1126, 1439, 9734, 618, 563, 303, 6372, 31664, 540, 4132, 7736, 9734, 618, 454, 763, 10997, 602, 786, 581, 5185, 676, 2576, 15034, 540, 1126, 1439, 9734, 618, 786, 2901, 581, 3765, 12047, 6756, 528, 610, 21688, 3415, 269, 769, 2665, 1141, 519, 1126, 1705, 711, 3068, 1022, 1981, 540, 15629, 2800, 610, 2669, 267, 519, 1055, 2658, 786, 581, 9901, 609, 513, 3765, 12047, 6756, 528, 543, 646, 610, 1352, 786, 723, 547, 3068, 20507, 971, 607, 454, 268, 1955, 1440, 2581, 618, 540, 909, 547, 513, 1032, 454, 268, 11525, 566, 540, 827, 2185, 1296, 454, 268, 589, 5386, 540, 1269, 1911, 271, 454, 1103, 2665, 1141, 1126, 1439, 9734, 618, 3238, 513, 1981, 540, 1390, 15629, 2800, 610, 2669, 540, 519, 1126, 267, 519, 1055, 2658, 786, 581, 9901, 609, 513, 21688, 3415, 269, 1261, 610, 1352, 786, 723, 547, 3068, 20507, 602, 616, 513, 2603, 811, 4049, 269, 634, 20507, 616, 5018, 607, 896, 912, 268, 1955, 1440, 2581, 618, 540, 909, 547, 3670, 1296, 454, 268, 11525, 566, 540, 693, 2547, 2185, 1296, 454, 268, 589, 5386, 540, 909, 547, 1269, 1015, 267, 1822, 454, 5278, 821, 9901, 609, 1126, 1439, 9734, 618, 1058, 3346, 606, 18607, 4810, 538, 7803, 8878, 547, 1118, 2386, 602, 741, 2924, 616, 6870, 563, 303, 6372, 13751, 4347, 5151, 18830, 4132, 7736, 9734, 618, 454, 2252, 2576, 568, 15034, 540, 1126, 1439, 9734, 618, 267, 646, 610, 1352, 1058, 3346, 606, 18607, 4810, 538, 7803, 8878, 1317, 606, 4810, 1920, 1876, 18607, 1131, 723, 606, 2856, 540, 875, 1126, 1439, 9734, 618, 2665, 616, 11567, 543, 2322, 593, 4693, 269, 11109, 1702, 827, 519, 8878, 540, 1126, 1439, 9734, 618, 2665, 666, 948, 2576, 1205, 856, 540, 519, 10997, 269, 2368, 3656, 23640, 602, 666, 6961, 5363, 1996, 1126, 1439, 9734, 618, 10997, 1331, 912, 268, 634, 1367, 15034, 540, 1126, 1439, 9734, 618, 1705, 711, 798, 621, 609, 8247, 540, 31362, 519, 1126, 454, 268, 634, 2385, 15034, 540, 1126, 1439, 9734, 618, 729, 9117, 1369, 519, 2924, 547, 9015, 1010, 610, 1200, 1126, 454, 268, 634, 1367, 729, 15034, 632, 1061, 1947, 454, 268, 634, 15034, 1268, 729, 711, 519, 835, 3743, 585, 519, 1126, 610, 1010, 17017, 1439, 9734, 618, 454, 2252, 596, 610, 513, 6068, 835, 616, 6849, 10997, 585, 513, 3765, 12047, 6756, 528, 267, 21688, 3415, 267, 610, 667, 21397, 25213, 3346, 17865, 8235, 4975, 7803, 8878, 18607, 11023, 1066, 23821, 8636, 2221, 269, 0, 288, 2518, 12504, 2257, 3760, 454, 1729, 3605, 267, 2671, 543, 2697, 7320, 454, 289, 520, 8127, 723, 3376, 267, 6366, 9843, 267, 28489, 4703, 543, 513, 8720, 540, 561, 7927, 543, 838, 1149, 269, 1358, 616, 4057, 7669, 11302, 543, 2356, 3802, 593, 519, 26026, 539, 593, 5394, 267, 1850, 899, 533, 624, 7394, 543, 23856, 27634, 269, 590, 9231, 593, 519, 4262, 5377, 593, 741, 27634, 267, 789, 1413, 899, 10627, 12209, 267, 8754, 519, 1455, 2012, 563, 4322, 5961, 941, 3144, 1079, 5094, 1296, 693, 519, 9791, 4173, 517, 15167, 538, 8419, 269, 634, 1101, 10627, 8127, 729, 19481, 5147, 476, 1001, 272, 543, 519, 2034, 267, 4873, 476, 1001, 273, 269, 0, 27269, 708, 18469, 855, 2760, 3160, 539, 267, 3967, 8709, 29431, 1188, 630, 322, 269, 476, 16928, 271, 268, 13893, 272, 264, 2451, 606, 30170, 12705, 593, 11193, 1148, 543, 21490, 519, 1259, 585, 2104, 1483, 626, 26719, 269, 2060, 922, 13778, 8856, 543, 4487, 995, 946, 540, 2681, 267, 634, 23172, 6504, 7236, 5800, 11681, 267, 18995, 519, 16806, 540, 513, 1762, 7008, 267, 568, 15266, 547, 519, 17117, 540, 674, 12661, 880, 18048, 267, 6205, 540, 519, 7216, 13291, 1633, 3427, 269, 11709, 29431, 1188, 13556, 1312, 16712, 543, 3909, 1641, 6927, 267, 10771, 513, 7849, 1143, 543, 30527, 602, 6410, 16900, 1063, 476, 1428, 628, 2540, 4948, 1272, 543, 19621, 267, 31676, 5468, 269, 11554, 609, 3282, 5862, 267, 646, 3048, 730, 519, 5420, 267, 3850, 585, 1390, 8515, 543, 3178, 540, 2681, 563, 9199, 576, 519, 7376, 779, 11141, 522, 324, 12320, 516, 538, 713, 2182, 16225, 5619, 540, 1010, 960, 267, 1519, 26749, 20355, 267, 2582, 8470, 3909, 5515, 267, 543, 20827, 23609, 269, 3171, 520, 1005, 23762, 3877, 543, 2673, 9382, 540, 25704, 899, 634, 717, 5782, 16816, 541, 267, 713, 8313, 849, 3091, 513, 12225, 1108, 540, 8709, 29431, 1188, 779, 2504, 267, 1519, 519, 3977, 540, 1010, 13186, 799, 4797, 1256, 1310, 1010, 2669, 269, 0, 16829, 676, 964, 743, 777, 558, 580, 5988, 476, 1724, 267, 476, 1708, 271, 454, 3383, 607, 547, 9585, 713, 267, 646, 3580, 1616, 547, 4137, 856, 519, 2347, 1297, 540, 15028, 4093, 936, 519, 2949, 4093, 2009, 269, 6875, 513, 1413, 693, 519, 3670, 5185, 5884, 602, 568, 2016, 2630, 269, 10251, 267, 23842, 519, 2347, 1957, 7569, 606, 589, 2464, 15376, 563, 289, 12396, 568, 519, 1034, 4749, 1031, 1935, 269, 5291, 2517, 338, 3234, 15843, 1146, 3225, 760, 906, 2593, 270, 1001, 280, 270, 5400, 270, 1428, 270, 1492, 22190, 7002, 6361, 1532, 652, 1790, 1653, 2914, 761, 619, 16519, 12258, 5076, 270, 7151, 634, 11201, 540, 1403, 596, 798, 707, 6780, 267, 596, 5749, 1406, 2469, 547, 581, 27052, 568, 1403, 596, 1810, 1406, 798, 707, 6780, 267, 596, 3580, 581, 27052, 269, 9119, 585, 513, 9015, 563, 2690, 513, 1906, 540, 596, 267, 713, 1505, 540, 3206, 610, 6061, 2042, 616, 2469, 547, 581, 707, 3804, 269, 1717, 2094, 594, 1353, 513, 3395, 1297, 540, 13004, 538, 6280, 621, 5654, 899, 519, 12166, 20932, 3884, 1406, 1360, 5363, 538, 6476, 547, 6061, 2042, 543, 1620, 519, 15997, 547, 4020, 20932, 269, 901, 568, 513, 1390, 7848, 540, 1148, 543, 2979, 2336, 763, 11135, 3683, 10348, 540, 9119, 543, 1215, 547, 12736, 898, 454, 3383, 607, 547, 9585, 713, 267, 646, 3580, 1616, 547, 4137, 856, 519, 2347, 1297, 540, 15028, 4093, 936, 519, 2949, 4093, 2009, 269, 2598, 4740, 3615, 666, 4749, 581, 18886, 1210, 9981, 269, 769, 930, 8320, 789, 786, 4440, 8428, 689, 1880, 8847, 602, 596, 2461, 2907, 31235, 609, 563, 288, 1016, 23054, 540, 717, 602, 779, 513, 3102, 3113, 568, 1634, 607, 513, 804, 1664, 267, 543, 972, 779, 606, 2404, 21370, 9936, 269, 634, 1931, 1141, 519, 14622, 616, 10272, 616, 1271, 543, 1223, 4096, 2390, 519, 5690, 610, 2243, 602, 596, 2461, 6061, 269, 4634, 4610, 899, 1297, 3069, 602, 616, 513, 851, 540, 6986, 6128, 616, 693, 1459, 2565, 538, 3156, 630, 3697, 25563, 1070, 4352, 789, 5749, 1406, 3622, 2219, 540, 607, 851, 540, 519, 1858, 540, 4294, 6128, 829, 694, 563, 12385, 24136, 814, 17820, 606, 538, 1410, 9151, 1043, 4390, 547, 22113, 18125, 540, 519, 7122, 799, 723, 1044, 27972, 8898, 538, 9814, 269, 5291, 2517, 11357, 7806, 629, 1002, 339, 778, 776, 320, 2593, 270, 1001, 280, 270, 1015, 270, 1015, 270, 6866, 1532, 4078, 2389, 1245, 3613, 1559, 6823, 1532, 652, 2389, 4185, 1790, 1653, 2914, 3876, 28129, 6253, 520, 3917, 537, 16250, 539, 3562, 22345, 270, 898, 30242, 547, 9004, 1022, 10539, 602, 949, 581, 513, 1267, 540, 519, 13112, 340, 8864, 540, 519, 6986, 1893, 269, 5440, 1108, 568, 9247, 513, 1505, 540, 1620, 5546, 563, 21206, 1344, 3823, 10348, 779, 2160, 666, 581, 4092, 593, 519, 20513, 5589, 8816, 618, 543, 8081, 3135, 269, 1677, 10508, 538, 1010, 9413, 267, 3627, 2306, 519, 3375, 547, 1931, 513, 16741, 563, 763, 17023, 18266, 6168, 10348, 540, 9119, 454, 12024, 602, 596, 3580, 581, 538, 513, 2990, 547, 1118, 8415, 519, 9205, 2230, 811, 5781, 2094, 596, 666, 6157, 2932, 7899, 540, 4305, 1510, 17596, 547, 3251, 18284, 519, 3905, 1210, 3141, 513, 2603, 540, 519, 4090, 269, 2334, 779, 519, 3148, 693, 799, 596, 786, 1616, 5291, 2517, 27273, 16347, 327, 1515, 16691, 11486, 340, 3539, 1532, 652, 2275, 2396, 268, 22967, 2914, 761, 619, 270, 547, 6108, 519, 2681, 607, 621, 786, 581, 2111, 547, 960, 1134, 538, 519, 3148, 799, 2356, 1797, 596, 616, 2469, 547, 581, 2111, 547, 946, 621, 1472, 2009, 269, 1656, 1280, 267, 972, 616, 476, 279, 2409, 547, 2824, 519, 1360, 1101, 267, 476, 278, 2409, 547, 4584, 519, 2034, 267, 543, 476, 277, 2409, 547, 1904, 585, 519, 3791, 563, 20877, 7801, 568, 5702, 5532, 547, 519, 2856, 540, 606, 4830, 1305, 269, 1879, 596, 723, 715, 1004, 543, 596, 6999, 547, 1451, 875, 1082, 12417, 972, 616, 585, 782, 540, 891, 267, 621, 779, 1175, 715, 27353, 610, 715, 256, 634, 1592, 1223, 979, 593, 563, 1692, 547, 5192, 29035, 609, 10348, 540, 9119, 888, 763, 22951, 1938, 799, 1118, 909, 513, 1268, 779, 5027, 5749, 1406, 7429, 606, 22329, 267, 2094, 789, 798, 8197, 3589, 18825, 779, 22038, 269, 1306, 513, 12343, 267, 519, 2338, 476, 271, 543, 476, 1015, 5749, 1406, 7396, 607, 2609, 1369, 713, 1305, 269, 634, 3099, 540, 971, 4816, 8424, 13292, 519, 3003, 1297, 540, 8424, 538, 519, 2250, 5108, 563, 9169, 303, 3009, 568, 4922, 2139, 593, 519, 4950, 1519, 717, 603, 889, 269, 11374, 713, 2417, 3059, 4550, 268, 8932, 2084, 267, 519, 3606, 14950, 3429, 5439, 616, 1175, 16207, 2476, 269, 3143, 824, 5907, 3926, 1223, 581, 1031, 563, 2690, 3236, 267, 519, 5022, 538, 519, 2165, 9409, 666, 581, 22198, 6548, 547, 1711, 1654, 559, 610, 2661, 269, 634, 1367, 945, 11540, 713, 2243, 568, 513, 3044, 14745, 540, 513, 13680, 1399, 540, 561, 748, 344, 2979, 2069, 269, 634, 3020, 2626, 568, 789, 4769 ]

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

[ 0, 5814, 524, 4118, 692, 320, 815, 10581, 454, 321, 815, 10581, 454, 322, 815, 10581, 454, 345, 815, 8771, 692, 6112, 711, 1990, 912, 825, 2119, 912, 1038, 513, 815, 10581, 9272, 3488, 303, 617, 1690, 513, 281, 1412, 4917, 1038, 536, 815, 10581, 9272, 3488, 303, 617, 1690, 536, 281, 1412, 4917, 1038, 524, 815, 10581, 9272, 3488, 303, 617, 1690, 524, 281, 1412, 4917, 1038, 1990, 815, 6936, 454, 825, 4849, 912, 1038, 1820, 2891, 303, 617, 1690, 538, 928, 25449, 334, 23410, 857, 10590, 2020, 604, 630, 320, 2652, 476, 271, 2187, 825, 952, 630, 321, 2652, 476, 271, 2187, 1038, 952, 630, 322, 2652, 476, 271, 2187, 2018, 1820, 2891, 305, 6759, 1233, 1014, 773, 547, 385, 376, 338, 30790, 23410, 857, 578, 324, 5602, 1038, 3116, 912, 2018, 1820, 2891, 305, 6759, 1233, 534, 773, 16204, 345, 1815, 345, 928, 5602, 825, 3116, 912, 1038, 1820, 2891, 305, 6759, 1233, 534, 773, 561, 7236, 578, 324, 522, 887, 345, 342, 27927, 8643, 340, 1535, 284, 2580, 524, 1315, 536, 2020, 12828, 912, 825, 546, 815, 630, 321, 2608, 536, 264, 910, 630, 275, 2608, 513, 2608, 524, 2020, 825, 952, 546, 2652, 476, 271, 912, 1038, 1535, 1321, 815, 11196, 321, 1315, 630, 273, 2608, 513, 4917, 1038, 1820, 3488, 343, 272, 270, 273, 815, 2715, 271, 348, 29717, 8971, 3287, 1321, 11723, 825, 952, 546, 11203, 476, 271, 912, 1038, 1535, 272, 815, 11196, 321, 910, 524, 4118, 28460, 5560, 4297, 1315, 630, 273, 2608, 513, 994, 1038, 1535, 273, 815, 11196, 321, 1341, 524, 4118, 28460, 5560, 4297, 1315, 630, 273, 2608, 513, 994, 1038, 1820, 3488, 343, 272, 815, 2715, 271, 9574, 1535, 273, 815, 2715, 272, 348, 8339, 8971, 3287, 272, 267, 1535, 273, 4917, 0, 5228, 670, 836, 2006, 4131, 614, 1104, 670, 836, 2006, 4131, 614, 692, 5228, 13793, 2006, 318, 583, 2812, 1104, 1305, 29999, 7531, 5035, 670, 836, 2006, 17504, 912, 825, 2262, 18316, 815, 1412, 25901, 17902, 28847, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 5320, 281, 1592, 314, 295, 836, 2006, 4131, 614, 316, 815, 1305, 29999, 263, 295, 836, 2006, 17504, 269, 5320, 18316, 994, 1038, 1582, 3052, 340, 612, 539, 815, 8771, 692, 825, 1219, 1205, 29999, 318, 11898, 4311, 264, 9847, 1193, 912, 1038, 2262, 815, 11713, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 2262, 6910, 263, 12072, 269, 5891, 318, 12072, 318, 11898, 31156, 1038, 2132, 1412, 29717, 21860, 9852, 777, 19304, 267, 2262, 11723, 825, 1219, 1205, 29999, 4311, 264, 9847, 1193, 912, 1038, 2262, 815, 11713, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 2262, 6910, 263, 12072, 269, 5891, 318, 12072, 31156, 1038, 2132, 1412, 29717, 21860, 9852, 777, 19304, 267, 2262, 11723, 825, 1219, 9337, 29999, 4311, 267, 4484, 264, 9847, 536, 944, 912, 1038, 1007, 318, 24987, 815, 11713, 1038, 2953, 318, 12072, 815, 8771, 454, 1038, 1948, 3619, 998, 1142, 4484, 543, 1305, 547, 3020, 454, 1038, 585, 13793, 318, 12072, 538, 1582, 269, 5320, 912, 2018, 952, 13793, 318, 12072, 269, 12072, 2652, 4484, 912, 3546, 13793, 318, 12072, 20481, 815, 6936, 454, 3546, 2953, 318, 12072, 815, 6936, 454, 2018, 1007, 318, 24987, 6910, 22607, 836, 318, 12072, 994, 1038, 1582, 269, 5320, 815, 1007, 318, 24987, 454, 1038, 1582, 15630, 318, 29674, 539, 4590, 1038, 2132, 2953, 318, 12072, 692, 825, 1219, 1293, 318, 8145, 8724, 4311, 264, 9847, 703, 912, 1038, 1293, 815, 476, 271, 454, 1038, 585, 4484, 538, 1582, 269, 5320, 912, 2018, 952, 711, 4484, 20481, 912, 3546, 1293, 6834, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 1293, 4671, 4973, 4311, 264, 9847, 703, 912, 1038, 2132, 7003, 4311, 269, 5320, 2020, 825, 1219, 1305, 318, 29674, 539, 4311, 2187, 1038, 952, 1582, 29644, 318, 8145, 8724, 3890, 2652, 476, 271, 912, 2018, 1582, 3052, 340, 612, 539, 815, 6936, 454, 0, 5814, 11885, 607, 5286, 5897, 258, 476, 273, 269, 273, 11822, 9266, 5547, 5897, 258, 476, 273, 269, 274, 6388, 540, 3131, 1061, 1258, 5897, 258, 476, 273, 269, 274, 269, 272, 2241, 6388, 1477, 18257, 1477, 3698, 6730, 3287, 272, 21726, 273, 8029, 825, 530, 272, 267, 342, 273, 267, 9064, 284, 271, 269, 276, 267, 271, 269, 276, 267, 271, 269, 278, 1477, 825, 31575, 24210, 272, 265, 342, 272, 21147, 273, 265, 342, 273, 1477, 825, 952, 31575, 10922, 23940, 6769, 1038, 2132, 476, 271, 1477, 825, 8640, 31575, 3436, 23940, 6769, 1038, 2132, 476, 272, 5897, 2745, 2891, 13263, 263, 271, 267, 271, 264, 14744, 2745, 263, 13263, 263, 271, 267, 271, 264, 10142, 2745, 2891, 13263, 263, 271, 267, 272, 264, 14744, 2745, 263, 13263, 263, 271, 267, 272, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 271, 264, 14744, 2745, 263, 13263, 263, 272, 267, 271, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 272, 264, 14744, 2745, 263, 13263, 263, 272, 267, 272, 17903, 18257, 5897, 258, 476, 273, 269, 274, 269, 273, 4437, 553, 267, 799, 568, 835, 540, 21635, 27160, 6123, 14577, 13059, 1871, 5897, 18257, 1477, 343, 284, 12639, 15126, 8443, 271, 267, 272, 8079, 1948, 6358, 1477, 342, 284, 12639, 15126, 8443, 271, 269, 276, 267, 271, 269, 276, 8079, 1948, 7076, 1477, 321, 15871, 271, 269, 278, 1948, 9186, 5897, 2745, 3287, 3418, 2745, 26028, 10142, 339, 5404, 24210, 265, 342, 1477, 2745, 6025, 5404, 10142, 8999, 284, 12639, 27904, 6025, 5404, 3418, 2745, 4433, 636, 10142, 2745, 4433, 636, 17070, 3418, 18257, 24653, 258, 476, 273, 269, 274, 269, 274, 6388, 540, 6730, 676, 9186, 543, 2597, 5897, 3698, 6730, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 271, 269, 276, 267, 476, 271, 269, 276, 29573, 825, 536, 815, 910, 271, 269, 278, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 3698, 715, 13263, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 268, 271, 269, 276, 267, 910, 271, 269, 276, 29573, 825, 536, 815, 476, 271, 269, 278, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 3698, 10758, 3287, 272, 267, 1535, 273, 8029, 825, 1535, 815, 5286, 15126, 8443, 343, 272, 267, 1535, 273, 29573, 825, 530, 815, 5286, 15126, 8443, 271, 269, 276, 267, 476, 271, 269, 276, 29573, 825, 536, 815, 910, 271, 269, 273, 1477, 825, 31575, 815, 5286, 27904, 26028, 2608, 1535, 264, 1341, 536, 5897, 825, 952, 31575, 10922, 476, 271, 6769, 1038, 2132, 476, 271, 1477, 825, 3116, 6769, 1038, 2132, 476, 272, 24653, 2745, 2891, 13263, 263, 271, 267, 271, 264, 14744, 2745, 263, 13263, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 13263, 263, 271, 267, 272, 264, 14744, 2745, 263, 13263, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 271, 264, 14744, 2745, 263, 13263, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 13263, 263, 272, 267, 272, 264, 14744, 2745, 263, 13263, 263, 272, 267, 476, 272, 264, 10142, 2745, 2891, 2793, 21254, 263, 271, 267, 271, 264, 14744, 2745, 263, 2793, 21254, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 2793, 21254, 263, 271, 267, 272, 264, 14744, 2745, 263, 2793, 21254, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 2793, 21254, 263, 272, 267, 271, 264, 14744, 2745, 263, 2793, 21254, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 2793, 21254, 263, 272, 267, 272, 264, 14744, 2745, 263, 2793, 21254, 263, 272, 267, 476, 272, 264, 10142, 2745, 2891, 3036, 263, 271, 267, 271, 264, 14744, 2745, 263, 3036, 263, 271, 267, 476, 271, 264, 10142, 2745, 2891, 3036, 263, 271, 267, 272, 264, 14744, 2745, 263, 3036, 263, 271, 267, 476, 272, 264, 10142, 2745, 2891, 3036, 263, 272, 267, 271, 264, 14744, 2745, 263, 3036, 263, 272, 267, 476, 271, 264, 10142, 2745, 2891, 3036, 263, 272, 267, 272, 264, 14744, 2745, 263, 3036, 263, 272, 267, 476, 272, 17903, 0, 5228, 10070, 1104, 9949, 18743, 692, 5035, 8641, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3200, 1182, 2187, 1038, 1582, 3052, 1429, 284, 29239, 18743, 17338, 994, 1038, 1582, 17679, 284, 3200, 1182, 454, 825, 1219, 1039, 10955, 613, 4311, 267, 340, 267, 341, 2187, 1038, 1582, 3052, 1429, 314, 340, 4940, 6572, 17635, 994, 825, 1219, 30490, 31374, 25219, 559, 4311, 267, 341, 267, 6665, 1243, 267, 23637, 2187, 1038, 10272, 314, 341, 24557, 12148, 454, 1038, 585, 1775, 538, 1582, 3052, 1429, 314, 341, 14158, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 6745, 641, 1670, 31374, 25219, 559, 9217, 267, 6665, 1243, 267, 23637, 994, 1038, 10518, 27044, 263, 271, 267, 341, 2020, 825, 1219, 30490, 31374, 4311, 2187, 1038, 10272, 17342, 16178, 30297, 1345, 17679, 454, 1038, 10518, 17342, 2639, 1038, 585, 1775, 538, 2039, 4311, 17679, 2187, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 6745, 641, 1670, 31374, 25219, 559, 9217, 267, 6665, 1243, 267, 23637, 2020, 1038, 1820, 263, 23637, 994, 326, 284, 20877, 263, 277, 994, 326, 14491, 10955, 613, 263, 276, 267, 476, 273, 5148, 3097, 326, 14491, 10955, 613, 263, 276, 267, 476, 271, 5148, 3097, 326, 14491, 10955, 613, 263, 275, 267, 476, 271, 5148, 3097, 326, 14491, 10955, 613, 263, 275, 267, 476, 272, 5148, 3097, 326, 14491, 10955, 613, 263, 273, 267, 476, 274, 5148, 3097, 326, 14491, 10955, 613, 263, 274, 267, 476, 272, 11850, 326, 6745, 641, 1670, 31374, 4590, 0, 5814, 4351, 692, 5035, 22900, 912, 825, 5727, 589, 1362, 547, 2099, 782, 519, 22645, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 1287, 877, 267, 1003, 16062, 902, 815, 476, 271, 267, 7953, 815, 476, 271, 2187, 1038, 8173, 1038, 6282, 525, 513, 1007, 15743, 609, 513, 2012, 267, 609, 3681, 540, 10747, 1297, 540, 12209, 543, 7953, 692, 1038, 2433, 12407, 1287, 877, 281, 634, 22645, 2012, 454, 1038, 2433, 12407, 1003, 16062, 902, 281, 634, 1297, 540, 12209, 593, 519, 15743, 454, 1038, 2433, 12407, 7953, 281, 634, 1297, 540, 7953, 593, 519, 15743, 454, 1038, 8173, 1038, 1582, 269, 29173, 318, 10233, 815, 834, 4840, 1038, 1582, 269, 29173, 318, 27729, 815, 834, 4840, 1038, 1582, 269, 29173, 25292, 815, 834, 4840, 1038, 1582, 9884, 902, 3966, 815, 476, 271, 454, 1038, 1582, 269, 9405, 18045, 815, 1003, 16062, 902, 454, 1038, 1582, 269, 7076, 815, 476, 271, 1363, 1948, 18564, 649, 666, 1405, 5581, 4559, 282, 713, 568, 1141, 8292, 2339, 454, 1038, 1582, 269, 19417, 815, 476, 271, 1363, 1948, 769, 6279, 454, 1038, 1582, 269, 5586, 18045, 815, 7953, 454, 1038, 1582, 269, 4754, 10734, 805, 327, 6958, 790, 815, 8771, 454, 1038, 1582, 20508, 815, 1287, 877, 692, 825, 1219, 8038, 4311, 2187, 1038, 8173, 1038, 5269, 707, 15743, 8038, 2439, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 952, 1582, 269, 9405, 18045, 3436, 476, 271, 912, 2018, 1820, 2891, 296, 6415, 10760, 10590, 2020, 825, 1219, 7362, 6958, 790, 4311, 2187, 1038, 8173, 1038, 5269, 707, 15743, 13236, 3595, 2439, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 952, 1582, 269, 4754, 10734, 805, 327, 6958, 790, 912, 2018, 1820, 2891, 289, 1248, 8627, 10590, 2020, 825, 1219, 11876, 731, 4671, 516, 5501, 4311, 267, 14951, 2187, 1038, 8173, 1038, 5269, 707, 15743, 11876, 731, 14951, 780, 1038, 2433, 12407, 14951, 281, 589, 14951, 5569, 454, 1038, 2433, 8873, 281, 634, 14951, 2179, 454, 1038, 8173, 1038, 14951, 318, 600, 339, 815, 4351, 27110, 263, 272, 267, 476, 1911, 994, 1038, 1820, 2891, 296, 1205, 2715, 272, 348, 540, 519, 2715, 271, 348, 2668, 8971, 6025, 516, 5501, 267, 14951, 318, 600, 339, 4917, 1038, 2132, 14951, 318, 600, 339, 692, 825, 1219, 1847, 4311, 267, 3350, 25292, 2187, 1038, 8173, 1038, 631, 7174, 707, 15743, 1472, 267, 1759, 593, 519, 1826, 540, 3350, 543, 519, 1297, 540 ]

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

[ 3280, 538, 1250, 1286, 888, 288, 4496, 16150, 532, 3280, 1522, 581, 3361, 676, 513, 1297, 540, 1919, 971, 607, 513, 12816, 856, 20347, 14950, 267, 513, 18761, 20347, 10943, 1662, 13104, 267, 513, 10690, 8868, 12946, 610, 849, 513, 15116, 6221, 610, 11935, 3478, 12758, 538, 519, 26039, 269, 1879, 596, 5873, 971, 513, 3280, 267, 596, 1058, 10994, 621, 3533, 865, 602, 621, 3085, 1406, 2322, 707, 1272, 538, 28855, 344, 563, 3963, 1281, 1250, 1286, 1118, 513, 8860, 6846, 950, 594, 590, 4594, 593, 519, 26039, 888, 5194, 1455, 3510, 1141, 26039, 666, 2014, 8860, 6846, 568, 513, 6727, 1793, 600, 593, 519, 26039, 269, 1403, 596, 1900, 593, 519, 26039, 538, 606, 6595, 267, 596, 786, 5873, 513, 10792, 3280, 543, 1745, 519, 20347, 29465, 678, 22824, 269, 1717, 267, 952, 707, 20347, 21181, 616, 5394, 2614, 267, 1810, 1406, 5855, 563, 1432, 2306, 513, 10978, 16150, 532, 6846, 950, 6117, 888, 2691, 707, 20347, 21181, 616, 12816, 856, 267, 972, 568, 513, 4062, 540, 4496, 602, 26055, 593, 519, 23301, 269, 901, 4496, 2306, 513, 10978, 4496, 16150, 532, 6846, 602, 568, 711, 1360, 4313, 532, 269, 0, 304, 783, 5511, 1382, 568, 513, 1713, 3693, 540, 16917, 8344, 1382, 607, 621, 19329, 3173, 547, 723, 1239, 602, 3091, 4656, 883, 519, 8369, 267, 2418, 267, 543, 2146, 4441, 1141, 2079, 568, 1373, 2944, 269, 634, 1239, 10356, 8547, 593, 513, 16045, 779, 6644, 267, 2143, 7391, 543, 1445, 1895, 18801, 725, 269, 634, 6896, 1239, 11527, 8460, 519, 11001, 779, 3765, 24483, 543, 11226, 538, 519, 4015, 540, 3875, 1239, 269, 19120, 5511, 1382, 568, 606, 22920, 602, 568, 12290, 998, 3879, 13577, 1344, 3379, 547, 818, 603, 5471, 673, 2418, 971, 607, 11050, 1382, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 3414, 713, 1826, 540, 1382, 267, 972, 616, 11999, 5666, 540, 1913, 543, 1239, 602, 1590, 581, 6896, 269, 4475, 267, 1655, 7154, 540, 5883, 543, 12180, 519, 2019, 6058, 748, 1344, 14122, 10128, 606, 3617, 4640, 563, 3080, 540, 519, 2994, 3322, 519, 7503, 540, 519, 6151, 1239, 883, 2780, 6119, 269, 19369, 540, 519, 13006, 1239, 1759, 593, 3102, 11042, 585, 679, 11431, 3340, 1098, 21564, 1169, 11746, 543, 1883, 538, 519, 8852, 883, 2780, 6119, 543, 519, 19307, 5918, 27289, 547, 581, 6740, 18172, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 5272, 16606, 610, 1305, 540, 4967, 1590, 30134, 609, 513, 6093, 20927, 602, 23403, 519, 31150, 7857, 267, 3135, 267, 543, 4408, 540, 1239, 19216, 267, 1239, 11018, 4266, 267, 7154, 540, 1239, 11018, 267, 10489, 686, 828, 267, 3705, 614, 267, 1462, 626, 267, 543, 1974, 540, 2780, 7127, 607, 11609, 538, 519, 16606, 5650, 563, 5194, 4640, 3322, 3844, 1436, 540, 1239, 269, 898, 568, 1271, 585, 3173, 547, 4558, 2168, 1344, 602, 14122, 4967, 267, 11746, 19827, 543, 31286, 23357, 606, 538, 17739, 1043, 25937, 22277, 610, 13974, 6870, 6753, 269, 5047, 267, 621, 18715, 3354, 543, 10727, 540, 519, 1344, 269, 769, 713, 2013, 267, 621, 568, 1434, 547, 723, 835, 1367, 602, 6487, 1141, 782, 519, 1344, 568, 6740, 543, 949, 4217, 538, 4466, 950, 2838, 630, 310, 565, 742, 1696, 620, 1421, 476, 1001, 279, 1040, 1403, 519, 2994, 616, 11368, 267, 1287, 5640, 949, 1205, 519, 6351, 789, 2154, 547, 9585, 543, 19597, 622, 519, 10356, 1344, 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 ]

[ 616, 538, 519, 4570, 2039, 10142, 1012, 589, 4790, 571, 842, 267, 595, 267, 568, 513, 630, 4289, 5899, 14844, 630, 1415, 1993, 25962, 25023, 25952, 26230, 1412, 8782, 17903, 1012, 10671, 2231, 6769, 1012, 567, 7003, 18154, 314, 271, 8079, 2652, 476, 272, 1477, 1012, 567, 595, 314, 272, 316, 3436, 476, 271, 5897, 5035, 10658, 14794, 6769, 476, 15981, 1477, 825, 29425, 6769, 11434, 2450, 630, 301, 520, 3418, 11434, 4604, 630, 32317, 3418, 11434, 10148, 630, 4289, 1993, 4790, 571, 842, 3418, 11434, 10671, 2231, 6769, 16875, 2450, 3436, 476, 271, 1477, 16875, 7003, 29033, 264, 2652, 2450, 1477, 16875, 1403, 4604, 5157, 6012, 329, 316, 568, 513, 2871, 612, 267, 4604, 5157, 6012, 329, 4940, 32188, 568, 513, 21799, 538, 519, 11015, 23228, 16875, 1703, 568, 513, 835, 547, 835, 19359, 1063, 519, 524, 1137, 538, 4604, 543, 1477, 2018, 10148, 269, 1280, 1383, 267, 952, 834, 320, 257, 4564, 513, 21799, 538, 519, 11015, 267, 1477, 2018, 621, 5526, 538, 4604, 543, 972, 568, 4010, 835, 23061, 585, 834, 320, 2668, 1477, 16875, 1403, 10148, 5157, 6012, 273, 316, 568, 834, 284, 2580, 1287, 519, 21799, 10148, 5157, 6012, 271, 15947, 2018, 5526, 4010, 2899, 538, 519, 11015, 23228, 16875, 1403, 10148, 5157, 6012, 273, 316, 568, 834, 270, 257, 610, 29038, 2580, 1287, 519, 21799, 10148, 5157, 6012, 271, 15947, 2018, 5526, 4010, 7466, 538, 519, 11015, 23228, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 2450, 267, 4604, 267, 10148, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 10658, 14794, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 10658, 14794, 14844, 8274, 630, 4289, 1993, 4790, 571, 842, 264, 9847, 7183, 1477, 825, 10671, 2231, 281, 2450, 3436, 476, 271, 1477, 825, 15981, 1477, 825, 1582, 25915, 815, 2450, 1477, 825, 1582, 269, 4580, 815, 4604, 1477, 825, 1582, 269, 6247, 571, 6493, 815, 10148, 5897, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 10658, 14794, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 10658, 14794, 4297, 543, 1422, 1477, 8587, 1582, 25915, 2652, 824, 25915, 543, 1422, 1477, 8587, 1582, 269, 4580, 2652, 824, 269, 4580, 543, 1422, 1477, 8587, 1582, 269, 6247, 571, 6493, 2652, 824, 269, 6247, 571, 6493, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 10658, 14794, 9847, 5899, 1477, 825, 15981, 1477, 825, 521, 815, 1412, 303, 340, 14794, 7268, 333, 23917, 8782, 266, 1598, 4311, 25915, 11924, 262, 315, 333, 262, 266, 257, 32317, 24097, 333, 29177, 825, 585, 1775, 538, 2039, 4311, 25915, 8029, 8587, 585, 795, 538, 2039, 4311, 25915, 8029, 1038, 952, 568, 27349, 4311, 269, 4580, 5157, 6012, 329, 3910, 10817, 612, 8029, 16875, 521, 815, 521, 1341, 1193, 4311, 269, 4580, 5157, 6012, 329, 8079, 1341, 1412, 1412, 1477, 1038, 3116, 6769, 16875, 521, 815, 521, 1341, 1193, 4311, 269, 4580, 5157, 6012, 329, 8079, 1341, 1412, 1412, 2608, 476, 1321, 1477, 8587, 521, 815, 521, 1341, 1412, 315, 333, 262, 1477, 825, 521, 815, 521, 1341, 834, 3519, 14259, 6493, 24097, 333, 29177, 825, 585, 1775, 538, 2039, 12759, 4311, 269, 6247, 571, 6493, 264, 8029, 8587, 521, 815, 521, 1341, 1412, 314, 1412, 266, 1582, 269, 6247, 571, 6493, 5157, 6012, 271, 316, 1341, 1412, 476, 1412, 1341, 1422, 1477, 1038, 1193, 4311, 269, 6247, 571, 6493, 5157, 6012, 272, 8079, 1341, 1412, 476, 1412, 1341, 1582, 269, 6247, 571, 6493, 5157, 6012, 273, 27994, 1422, 1477, 1038, 1412, 9948, 262, 22065, 315, 333, 262, 1477, 825, 521, 815, 521, 1341, 1412, 264, 262, 1477, 825, 2132, 521, 24653, 5035, 2871, 612, 6769, 476, 15981, 1477, 476, 29425, 6769, 672, 3090, 630, 18360, 3418, 672, 1297, 630, 301, 520, 3418, 672, 10671, 2231, 6769, 11434, 7003, 263, 32188, 264, 2652, 476, 272, 1477, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 3090, 267, 1297, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 2871, 612, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 2871, 612, 5899, 14844, 9847, 7183, 1477, 825, 15981, 1477, 825, 1582, 269, 32188, 815, 3090, 1477, 825, 1582, 8542, 3784, 815, 1297, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 2871, 612, 9847, 5899, 1477, 825, 15981, 1477, 825, 2132, 834, 10817, 612, 3488, 346, 271, 348, 3299, 346, 272, 16585, 2668, 8971, 4311, 269, 32188, 267, 1582, 8542, 3784, 10142, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 2871, 612, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 2871, 612, 4297, 543, 1422, 1477, 8587, 1582, 269, 32188, 2652, 824, 269, 32188, 543, 1422, 1477, 8587, 1582, 8542, 3784, 2652, 824, 8542, 3784, 24653, 5035, 30142, 333, 6769, 476, 15981, 1477, 476, 29425, 6769, 672, 1535, 630, 301, 520, 3418, 672, 586, 630, 301, 520, 3418, 672, 8074, 281, 18882, 630, 3602, 1535, 284, 271, 543, 586, 284, 271, 264, 568, 1283, 2451, 23228, 476, 15981, 5897, 476, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 8029, 825, 15981, 1477, 825, 19461, 3278, 513, 30142, 333, 269, 5897, 825, 12186, 281, 23688, 919, 1582, 5897, 825, 6449, 8181, 1029, 281, 30142, 333, 14844, 14844, 9847, 7183, 1477, 825, 15981, 1477, 825, 1582, 11859, 815, 1535, 1477, 825, 1582, 13885, 815, 586, 5897, 476, 1219, 6449, 516, 1440, 9191, 1345, 8029, 825, 15981, 1477, 825, 16849, 513, 5569, 6041, 540, 1582, 269, 5897, 825, 6449, 516, 1440, 1029, 281, 30142, 333, 9847, 5899, 1477, 825, 15981, 1477, 825, 2132, 834, 303, 657, 333, 20719, 271, 9574, 346, 272, 16585, 2668, 8971, 4311, 11859, 267, 1582, 13885, 10142, 476, 1219, 6449, 18091, 9191, 1345, 267, 1278, 8029, 825, 15981, 1477, 825, 16849, 6936, 952, 1582, 543, 824, 616, 3160, 269, 8771, 6382, 269, 5897, 825, 6449, 18091, 1029, 281, 30142, 333, 7102, 9847, 645, 944, 1477, 825, 15981, 1477, 825, 2132, 630, 529, 27349, 263, 1278, 267, 30142, 333, 4297, 543, 1422, 1477, 8587, 1582, 11859, 2652, 824, 11859, 543, 1422, 1477, 8587, 1582, 13885, 2652, 824, 13885, 24653, 1012, 2878, 7052, 1262, 570, 2464, 16249, 966, 3201, 308, 2464, 2878, 11960, 7052, 265, 1477, 1012, 8074, 281, 1452, 616, 849, 1031, 538, 519, 1806, 2630, 269, 5897, 30298, 14794, 272, 815, 10658, 14794, 263, 275, 267, 1496, 9131, 320, 12887, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 672, 18358, 320, 12887, 323, 12887, 324, 12887, 324, 28710, 1477, 4449, 672, 18358, 325, 12887, 323, 12887, 326, 12887, 326, 28710, 1477, 4449, 672, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 7386, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 672, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 672, 18358, 323, 3299, 276, 10086, 22065, 3910, 1477, 4449, 672, 18358, 324, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 672, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 672, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 672, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 815, 10658, 14794, 263, 275, 267, 1496, 9131, 320, 12887, 321, 12887, 321, 12887, 322, 28710, 1477, 23351, 18358, 320, 3299, 273, 267, 272, 267, 275, 3910, 1477, 23351, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 23351, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 4449, 19930, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 23351, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 23351, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 23351, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 23351, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 23351, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 23351, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 30298, 14794, 272, 14783, 273, 815, 10658, 14794, 263, 275, 267, 20886, 10817, 612, 3488, 320, 3299, 273, 1070, 262, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 18358, 320, 3299, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 17264, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 1012, 476, 855, 711, 2943, 20240, 1477, 30298, 14794, 272, 14783, 274, 815, 10658, 14794, 263, 275, 267, 20886, 10817, 612, 3488, 320, 3299, 273, 1070, 262, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 1496, 10817, 612, 3488, 320, 3299, 274, 1070, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 320, 3299, 277, 10086, 265, 28710, 1477, 4449, 17264, 18358, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 1012, 513, 9864, 3070, 547, 11015, 272, 609, 513, 21799, 13148, 4904, 538, 1477, 1012, 476, 855, 711, 2943, 20240, 543, 11234, 7058, 1477, 30298, 14794, 272, 14783, 275, 815, 10658, 14794, 263, 275, 267, 20886, 273, 10086, 321, 12887, 321, 12887, 322, 28710, 1477, 4449, 17264, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 17264, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 23351, 1496, 9131, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 17264, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 17264, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 17264, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 275, 320, 815, 10658, 14794, 263, 275, 267, 20886, 273, 267, 10817, 612, 3488, 321, 3299, 272, 1070, 10817, 612, 3488, 321, 3299, 274, 1070, 262, 322, 28710, 1477, 4449, 23526, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 23526, 18358, 325, 12887, 327, 12887, 328, 12887, 328, 11172, 3910, 1477, 4449, 17264, 1496, 9131, 321, 3299, 274, 10086, 268, 28710, 1477, 4449, 23526, 18358, 322, 3299, 274, 10086, 8782, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 268, 28710, 1477, 4449, 23526, 18358, 326, 3299, 273, 10086, 270, 28710, 1477, 4449, 23526, 18358, 327, 3299, 275, 10086, 8782, 3910, 1477, 4449, 23526, 18358, 328, 3299, 272, 10086, 268, 11172, 316, 10142, 30298, 14794, 272, 14783, 275, 321, 815, 10658, 14794, 263, 275, 267, 20886, 273, 267, 10817, 612, 3488, 321, 3299, 272, 1070, 10817, 612, 3488, 321, 3299, 275, 1070, 262, 322, 28710, 1477, 4449, 23526, 1496, 274, 267, 273, 267, 272, 267, 275, 3910, 1477, 4449, 23526, 18358, 325, 3299, 274, 10086, 326, 12887, 326, 28710, 1477, 4449, 23526, 18358, 325, 12887, 327, 12887, 328, 12887 ]

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

[ 1403, 596, 1745, 14221, 782, 519, 942, 585, 1896, 4374, 267, 610, 952, 621, 7959, 899, 707, 12194, 616, 2921, 936, 707, 1272, 267, 1287, 621, 779, 513, 1434, 2856, 547, 2560, 28454, 2081, 547, 1852, 707, 4250, 666, 948, 596, 1732, 11883, 609, 891, 4606, 543, 2061, 4160, 689, 2921, 3180, 269, 17520, 568, 513, 3339, 7553, 602, 3123, 2799, 10332, 1145, 267, 4250, 267, 543, 2168, 4191, 267, 971, 607, 513, 4028, 2295, 2557, 269, 21824, 538, 1480, 7919, 949, 2049, 538, 3210, 547, 513, 1978, 17003, 9648, 538, 519, 1459, 267, 610, 538, 24736, 610, 20772, 540, 513, 2104, 3463, 9228, 607, 513, 1981, 547, 13951, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 14134, 338, 723, 1044, 4330, 607, 10571, 31667, 1023, 585, 1483, 1272, 267, 3255, 547, 11815, 1518, 16858, 267, 543, 513, 1106, 540, 27248, 3797, 269, 10572, 2818, 540, 519, 1895, 1582, 2275, 839, 1681, 1765, 18034, 952, 789, 4250, 1373, 695, 684, 2740, 610, 3541, 3660, 585, 6340, 741, 2247, 28934, 835, 1761, 1129, 602, 519, 1895, 949, 4497, 538, 1895, 20459, 269, 10902, 513, 1253, 7675, 7553, 26901, 539, 676, 31587, 8594, 267, 9409, 267, 1928, 267, 3092, 1421, 2436, 519, 3463, 568, 1483, 610, 16545, 282, 519, 4743, 610, 2783, 540, 1373, 12922, 269, 901, 4250, 666, 1287, 581, 31903, 676, 538, 31228, 11348, 269, 11289, 596, 1360, 1454, 11184, 269, 2290, 540, 519, 4107, 2552, 698, 1190, 543, 667, 836, 2730, 5900, 3363, 4437, 1162, 269, 901, 4250, 666, 723, 1082, 5817, 3123, 269, 4937, 4160, 3361, 676, 6296, 1554, 3562, 6377, 17613, 2356, 10596, 3533, 543, 568, 4810, 676, 3592, 3025, 693, 835, 942, 610, 1776, 269, 2755, 621, 568, 1419, 1045, 12097, 693, 519, 1377, 540, 2520, 641, 29176, 610, 1369, 1870, 3906, 267, 1895, 20459, 666, 849, 3277, 547, 5705, 2401, 3157, 540, 1514, 610, 20748, 29077, 267, 971, 607, 10283, 538, 11648, 610, 7787, 1944, 513, 4057, 3375, 1373, 1500, 676, 835, 781, 2828, 269, 28015, 1143, 267, 519, 7229, 946, 540, 5208, 547, 1711, 513, 2489, 2916, 540, 4250, 538, 513, 2551, 543, 7551, 547, 3142, 827, 513, 1880, 2797, 6662, 269, 1280, 1383, 267, 4250, 666, 8451, 519, 4090, 513, 4651, 22168, 519, 4332, 7585, 2421, 32129, 2006, 1912, 6185, 269, 593, 5412, 476, 736, 267, 476, 1708, 271, 538, 7763, 10675, 256, 9684, 596, 2433, 1040, 2549, 594, 3843, 547, 2149, 8885, 689, 513, 1880, 6364, 286, 898, 666, 2039, 689, 13581, 8401, 1145, 547, 1612, 3315, 4506, 4250, 543, 11784, 269, 898, 3091, 721, 1702, 543, 1620, 1765, 604, 649, 3442, 547, 3398, 621, 269, 26479, 540, 18483, 616, 1950, 543, 11786, 282, 1317, 540, 519, 7915, 7542, 6290, 540, 18483, 267, 519, 2165, 538, 922, 2442, 6165, 814, 2919, 606, 7920, 16663, 269, 634, 946, 540, 5208, 267, 6937, 267, 610, 12932, 9179, 547, 1651, 924, 4250, 267, 610, 547, 1071, 518, 576, 2962, 267, 585, 2797, 5301, 269, 10017, 4653, 9736, 476, 1708, 272, 12246, 16303, 23255, 267, 20941, 269, 1215, 547, 946, 4250, 538, 513, 4845, 269, 5046, 268, 866, 24677, 568, 2348, 513, 2147, 1198, 267, 543, 945, 798, 596, 15475, 568, 519, 623, 1221, 13100, 704, 286, 898, 729, 24084, 2287, 269, 1677, 2743, 519, 7355, 585, 1134, 8547, 4250, 267, 519, 4250, 1590, 581, 1641, 1947, 9758, 543, 1843, 1947, 10257, 269, 21824, 568, 606, 7553, 602, 3335, 4386, 950, 596, 13498, 513, 3463, 547, 707, 2123, 1134, 5630, 269, 513, 1808, 3236, 540, 610, 4412, 3748, 585, 971, 513, 4743, 281, 606, 9402, 4250, 540, 15627, 269, 834, 16341, 821, 945, 568, 8572, 610, 31464, 547, 2132, 547, 741, 2197, 540, 5169, 19962, 547, 513, 1134, 1922, 15903, 4250, 540, 1373, 30201, 3176, 585, 4128, 540, 5198, 267, 4984, 267, 22874, 267, 15376, 540, 513, 1880, 1514, 1895, 267, 610, 2797, 6644, 1701, 594, 1419, 5873, 1004, 2491, 519, 4250, 540, 519, 7083, 607, 513, 6071, 2463, 610, 27527, 269, 21824, 16748, 8535, 6828, 282, 21824, 31543, 282, 21824, 31543, 5600, 9549, 282, 4250, 585, 282, 4250, 585, 630, 16341, 821, 610, 1945, 264, 4595, 1287, 267, 3967, 529, 543, 824, 3173, 723, 1336, 602, 538, 513, 3510, 602, 666, 581, 6353, 607, 1895, 20459, 267, 2043, 4043, 547, 31831, 689, 11589, 22027, 543, 21520, 610, 10990, 532, 609, 519, 13618, 269, 21988, 4550, 8686, 3147, 710, 771, 15574, 1223, 544, 28854, 938, 2907, 1606, 1638, 1221, 1620, 540, 1981, 269, 2037, 11803, 1568, 519, 1482, 1259, 269, 18564, 1022, 2404, 4555, 269, 21824, 26182, 32349, 267, 16945, 1071, 2120, 9858, 267, 16895, 267, 5778, 27023, 1235, 267, 543, 3025, 538, 1532, 15277, 269, 21824, 14340, 609, 519, 3463, 540, 2800, 267, 2901, 2168, 267, 3929, 267, 610, 5626, 267, 1483, 610, 16545, 269, 12745, 568, 4503, 607, 513, 16437, 518, 3693, 9789, 25197, 566, 28934, 13939, 543, 1031, 269, 21824, 267, 899, 782, 824, 4664, 267, 568, 10416, 1344, 269, 1412, 338, 3689, 769, 13774, 1116, 16594, 281, 23875, 547, 4250, 2755, 12926, 2808, 513, 968, 17463, 892, 7553, 267, 4250, 2965, 5713, 606, 1271, 1909, 538, 5329, 721, 2922, 607, 621, 20834, 3278, 721, 547, 11883, 609, 1761, 8594, 269, 1809, 1175, 1317, 649, 782, 1995, 4250, 3085, 1405, 1611, 602, 649, 723, 547, 2661, 609, 621, 269, 898, 779, 2565, 267, 1498, 267, 602, 782, 1895, 2818, 1765, 2958, 14177, 540, 741, 2990, 610, 22097, 1765, 2041, 4847, 547, 3565, 547, 1895, 3375, 6194, 269, 898, 568, 513, 4241, 543, 15491, 1480, 7553, 269, 634, 1158, 568, 538, 513, 1533, 540, 13441, 543, 681, 3633, 13669, 802, 786, 2232, 519, 2152, 6917, 1870, 5411, 267, 6705, 543, 2244, 14935, 616, 6849, 269, 898, 779, 8347, 532, 547, 16440, 2974, 269, 1656, 1247, 519, 4250, 568, 1483, 267, 519, 3463, 568, 711, 269, 1358, 1058, 8007, 1981, 23824, 267, 581, 1930, 547, 2093, 689, 782, 1895, 2818, 1765, 2958, 14177, 540, 741, 1995, 610, 2990, 11652, 1711, 2834, 3255, 585, 2043, 547, 2671, 741, 2093, 267, 2462, 543, 1507, 269, 634, 946, 540, 5208, 607, 513, 1797, 540, 8236, 513, 3804, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 17593, 17461, 281, 4634, 1498, 1034, 9176, 2021, 1522, 723, 930, 4145, 3823, 519, 7154, 540, 6765, 930, 2021, 949, 1995, 513, 15398, 4250, 540, 27638, 630, 293, 8016, 1070, 799, 949, 1118, 6379, 513, 23892, 543, 9636, 532, 1995, 585, 873, 269, 562, 269, 476, 272, 269, 513, 269, 21824, 540, 25055, 267, 610, 834, 325, 792, 540, 7029, 2437, 568, 10416, 4250, 540, 9561, 835, 781, 13190, 269, 21824, 281, 519, 7553, 4810, 538, 519, 4527, 610, 3463, 540, 8594, 269, 700, 3554, 9061, 267, 1912, 6185, 1421, 543, 22630, 589, 750, 2023, 267, 1912, 6185, 269, 593, 5412, 476, 1691, 267, 476, 1708, 271, 538, 12861, 17583, 269, 4250, 19655, 267, 4250, 12332, 267, 4250, 8144, 267, 2296, 8675, 4214, 540, 4250, 269, 9894, 1411, 6258, 519, 4107, 12830, 7689, 540, 476, 1708, 271, 286, 8729, 585, 971, 606, 27283, 2376, 269, 1548, 666, 596, 1451, 689, 621, 547, 1118, 707, 476, 1708, 272, 1732, 286, 594, 1419, 5873, 1004, 2491, 519, 4250, 540, 519, 7083, 607, 513, 6071, 2463, 610, 27527, 269, 1548, 1281, 4250, 4082, 1611, 286, 476, 736, 2055, 596, 666, 2307, 3054, 2221, 269, 1403, 865, 267, 1946, 286, 8231, 630, 4310, 609, 1843, 264, 476, 273, 269, 4756, 10902, 589, 4250, 568, 513, 2219, 602, 1945, 18473, 1522, 4755, 610, 1522, 723, 5949, 269, 7689, 476, 274, 281, 1879, 649, 4250, 2560, 700, 3554, 9061, 267, 1912, 6185, 1421, 543, 22630, 589, 750, 2023, 267, 1912, 6185, 269, 21824, 814, 20335, 513, 3983, 22850, 269, 21824, 281, 519, 7553, 4810, 538, 519, 4527, 610, 3463, 540, 8594, 269, 634, 946, 540, 5208, 607, 513, 1797, 540, 8236, 513, 3804, 269, 4208, 8422, 24930, 262, 1261, 6758, 3657, 14568, 20537, 2290, 269, 6258, 811, 269, 6423, 811, 269, 3397, 528, 7469, 14113, 630, 698, 268, 7795, 268, 745, 327, 6363, 302, 292, 15515, 268, 7795, 264, 568, 513, 1826, 540, 4160, 4524, 538, 799, 596, 4250, 543, 2057, 4025, 610, 3871, 602, 1522, 2014, 596, 547, 11784, 543, 1118, 596, 1745, 16290, 267, 27303, 610, 19849, 21724, 269, 634, 1543, 540, 713, 2361, 568, 6854, 4357, 543, 786, 711, 581, 3254, 15597, 269, 715, 1735, 269, 634, 4250, 540, 18349, 568, 513, 3532, 4250, 602, 1419, 814, 513, 2484, 23568, 1764, 593, 938, 2729, 269, 14307, 674, 6185, 10611, 269, 540, 930, 16545, 2680, 610, 1995, 269, 7754, 545, 4214, 267, 513, 6727, 11566, 4250, 267, 609, 610, 1510, 2014, 267, 602, 7472, 1728, 3122, 673, 610, 19450, 2623, 267, 543, 602, 1419, 19082, 3533, 998, 513, 1895, 540, 7606, 610, 2831, 269, 5192, 519, 948, 596, 991, 689, 513, 13309, 2282, 596, 1700, 320, 17676, 3028, 689, 10017, 4653, 269, 23718, 6742, 665, 857, 1912, 6185, 269, 593, 5239, 476, 3066, 267, 476, 1708, 271, 538, 1411, 2052, 1406, 23063, 2060, 2974, 269, 4107, 1004, 1995, 930, 13285, 950, 11093, 2933, 538, 3871, 602, 1223, 1291, 547, 18349, 267, 855, 585, 930, 1004, 267, 519, 4250, 3587, 524, 23774, 1782, 269, 2290, 3364, 602, 744, 262, 11390, 1030, 324, 1767, 2731, 6949, 730, 609, 803, 281, 834, 296, 723, 1044, 11613, 17512, 1881, 1250, 2898, 1272, 543, 594, 723, 2760, 1577, 621, 3247, 803, 689, 3257, 1018, 594, 4941, 547, 798, 269, 1809, 596, 2731, 13264, 621, 1524, 269, 1879, 649, 1577, 979, 540, 938, 10206, 540, 4250, 607, 519, 1134, 532, 909, 540, 9409, 4229, 1369, 721, 9789, 22506, 1014, 14953, 11652, 2253, 547, 1294, 4250, 543, 922, 13959, 4664, 607, 1344, 267, 649, 666, 1589, 827, 873, 29596, 269, 1772, 621, 2009, 547, 2087, 7189, 262, 2126, 5079, 286, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 17520, 568, 513, 2168, 2783, 6825, 676, 7920, 543, 10770, 4606, 540, 11605, 267, 4250, 267, 2587, 560, 610, 23487, 269, 3213, 1127, 4369, 267, 610, 519, 7287, 585, 14429, 4369, 267, 538, 513, 1895, 949, 3132, 513, 12402, 1851, 922, 2818, 547, 3858, 693, 782, 3790, 269, 1809, 519, 6426, 3096, 519, 2262, 4250, 693, 2547, 476, 4968, 2053, 538, 4704, 547, 2696, 267, 865, 649, 1118, 513, 12161, 950, 649, 1524, 2452, 621, 269, 6258, 827, 519, 4214, 543, 2934, 540, 519, 2343, 532, 3942, 267, 543, 1491, 513, 7688, 547, 1449, 707, 1702, 269, 16844, 1765, 18485, 15295, 4763, 543, 4763, 540, 2219, 1765, 13757, 1044, 3254, 547, 2569, 519, 7872, 540, 1895, 20459, 269, 5192, 519, 948, 596, 991, 689, 513, 13309, 2282, 596, 1700, 320, 17676, 3028, 689, 10017, 4653, 269, 898, 568, 2009, 267, 2705, 267, 585, 6887, 547, 1118, 3664, 32069, 543, 609, 2370, 24895, 267, 538, 2081, 602, 616, 711, 8209, 22566, 540, 1895, 20459, 269, 20492, 602, 8362, 3541, 728, 968, 8083, 11107, 892, 949, 581, 811, 2693, 547, 2887, 10352, 269, 476, 273, 269, 476, 8618, 18467, 1677, 2142, 8605, 633, 1879, 1411, 4518, 3245, 5851, 267, 476, 275, 30258, 547, 7348, 2659, 20556, 689, 513, 1715, 21887, 267, 20492, 602, 4225, 741, 1895, 3961, 543, 13789, 4411, 569, 4724, 968, 8083, 11107, 5608, 2755, 1134, 1922, 4233, 532, 6887, 666, 630, 663, 1058, 264, 723, 930, 4655, 267, 1895, 20459, 1282, 519, 476, 3422, 272, 7345, 540, 623, 12127, 12289, 267, 10572, 2818, 540, 519, 1895, 1582, 2275, 839, 1681, 267, 811, 3860, 3206, 543, 6038, 3152, 5647, 1369, 3906, 267, 814, 1044, 3254, 547, 2569, 519, 7872, 540, 1895, 20459, 267, 1711, 2834, 3255, 585, 2043, 547, 2671, 741, 2093, 269, 634, 9153, 540, 606, 4608, 839, 1819, 3760, 602, 568, 26723, 839, 4601, 6131, 547, 1863, 4633, 814, 6537, 513, 2603, 540, 1719, 269, 21824, 543, 4160, 666, 1860, 782, 540, 721, 1169, 1631, 543, 1287, 269, 634, 9810, 1082, 1004, 723, 693, 519, 2856, 540, 2348, 547, 3717, 538, 1857, 568, 10416, 4250, 540, 24178, 11546, 987, 269, 1879, 596, 1205, 547, 917, 4250, 689, 7279, 267, 596, 666, 2981, 519, 2587 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10100, 267, 4278, 3424, 267, 543, 2872, 540, 922, 1004, 267, 7153, 607, 519, 581, 12317, 633, 540, 519, 2552, 5799, 269, 4706, 2551, 540, 476, 279, 267, 1822, 267, 1822, 2390, 606, 1858, 540, 2370, 1447, 982, 15930, 729, 6462, 676, 519, 1104, 566, 540, 6151, 2326, 267, 543, 676, 741, 5478, 543, 741, 5385, 936, 5498, 553, 585, 1079, 22188, 540, 519, 4105, 29476, 540, 922, 3232, 1272, 563, 2691, 538, 519, 4832, 540, 476, 866, 476, 1691, 519, 1004, 941, 1586, 6537, 883, 519, 3864, 544, 6130, 560, 668, 267, 476, 7785, 267, 1822, 540, 873, 2968, 535, 1872, 14476, 13383, 267, 543, 519, 14230, 941, 4389, 547, 519, 1533, 540, 513, 2749, 799, 267, 9676, 676, 513, 20935, 7952, 267, 568, 538, 2490, 14850, 773, 3022, 689, 1510, 269, 4935, 267, 922, 6302, 941, 513, 3774, 540, 15922, 517, 1115, 543, 513, 3625, 8172, 18239, 563, 15152, 2413, 2804, 2175, 267, 1100, 1104, 532, 4182, 11438, 811, 982, 513, 1906, 4374, 262, 15395, 6006, 540, 1426, 267, 4470, 607, 621, 1281, 2390, 519, 3232, 2855, 11040, 540, 16450, 282, 543, 519, 29696, 540, 713, 1102, 869, 267, 1927, 609, 519, 9552, 543, 1270, 9974, 540, 741, 803, 4526, 13632, 267, 12219, 519, 5617, 326, 2103, 609, 606, 1256, 3152, 31685, 2443, 519, 2530, 540, 741, 1360, 1272, 563, 4415, 519, 3247, 2457, 540, 519, 4853, 9219, 267, 741, 960, 15161, 941, 7329, 548, 267, 543, 3186, 3191, 22415, 1117, 1554, 543, 3781, 883, 741, 28795, 9806, 267, 2394, 547, 6377, 1614, 543, 513, 3368, 2929, 1004, 1590, 581, 5280, 538, 17493, 563, 763, 5617, 326, 2103, 616, 513, 1582, 3146, 2993, 656, 1004, 945, 1185, 8179, 1100, 7957, 832, 540, 519, 1158, 267, 543, 741, 1101, 15859, 543, 11173, 20089, 814, 1044, 547, 948, 2933, 269, 3502, 1152, 941, 782, 1346, 945, 1185, 2200, 1202, 11962, 602, 789, 1058, 2901, 2628, 1631, 610, 538, 519, 2104, 585, 741, 1426, 267, 855, 2484, 3564, 713, 267, 789, 723, 29739, 2390, 12391, 585, 741, 1378, 3186, 3482, 547, 519, 2407, 652, 6708, 540, 1346, 6967, 2200, 2443, 519, 17493, 540, 519, 4057, 4724, 519, 4057, 269, 1358, 723, 2933, 1305, 909, 1100, 3956, 585, 1649, 5271, 565, 775, 267, 855, 519, 1977, 28057, 8189, 814, 29739, 2390, 5418, 8172, 547, 519, 1158, 547, 948, 538, 513, 11411, 865, 2484, 3564, 741, 2702, 563, 1607, 8189, 729, 2813, 538, 1931, 602, 676, 6876, 609, 519, 11350, 580, 5166, 338, 593, 1312, 5011, 267, 513, 7450, 1522, 581, 8118, 538, 519, 3774, 540, 5374, 267, 998, 799, 1346, 945, 1185, 2200, 1223, 556, 268, 22056, 519, 2095, 540, 7727, 547, 2933, 282, 602, 998, 519, 1482, 8756, 267, 519, 1158, 1522, 2097, 547, 519, 15063, 540, 519, 3186, 3482, 267, 543, 3564, 713, 602, 621, 1223, 10018, 519, 25330, 1222, 540, 891, 7727, 547, 519, 6852, 946, 540, 519, 1004, 563, 763, 9997, 540, 19934, 4607, 513, 20494, 31773, 10138, 267, 855, 519, 2021, 540, 19934, 616, 25411, 684, 4221, 519, 2095, 2443, 24569, 543, 3056, 713, 588, 4459, 523, 4182, 547, 3152, 4222, 543, 3152, 1272, 563, 2171, 540, 519, 28057, 723, 1044, 10583, 540, 519, 17979, 547, 1747, 519, 2645, 538, 519, 3946, 540, 891, 2021, 267, 543, 723, 14478, 741, 1236, 559, 995, 946, 543, 741, 6454, 538, 1505, 609, 5662, 569, 25621, 269, 1284, 723, 5156, 621, 547, 581, 865, 1390, 606, 6667, 602, 649, 723, 3232, 24714, 621, 1223, 581, 3182, 3293, 676, 513, 1623, 12949, 1944, 1688, 267, 30385, 2639, 2171, 2709, 1200, 2370, 1433, 607, 938, 267, 543, 11427, 269, 918, 749, 17344, 781, 267, 24744, 538, 25621, 540, 873, 543, 519, 6667, 799, 789, 723, 8329, 547, 713, 2898, 3919, 269, 901, 20174, 543, 713, 3028, 723, 1631, 19079, 593, 585, 5176, 476, 12010, 1279, 2395, 269, 7201, 796, 576, 2084, 7965, 519, 2645, 723, 1044, 6854, 538, 519, 3946, 540, 891, 2021, 267, 543, 789, 723, 12913, 741, 4305, 269, 2353, 540, 713, 942, 972, 723, 11542, 3297, 873, 938, 16292, 17346, 609, 689, 13977, 547, 24239, 2395, 262, 7727, 538, 4434, 267, 543, 13357, 814, 3976, 1044, 602, 3845, 6552, 269, 3776, 2671, 543, 519, 2671, 540, 891, 2021, 814, 4061, 1044, 513, 4305, 540, 6604, 267, 711, 513, 4305, 540, 16185, 269, 3776, 4305, 543, 741, 338, 814, 1044, 547, 2226, 519, 17409, 540, 519, 1453, 267, 711, 547, 3819, 741, 17229, 269, 634, 2619, 657, 540, 519, 1279, 3515, 540, 2503, 656, 267, 669, 30568, 21746, 267, 1142, 609, 513, 19044, 540, 6392, 8930, 2740, 547, 922, 9221, 610, 4371, 538, 513, 1989, 574, 344, 31329, 267, 2760, 1244, 19843, 519, 2247, 540, 6689, 269, 7439, 1281, 4250, 2479, 4283, 741, 2370, 9843, 561, 652, 519, 28795, 5832, 540, 8804, 267, 9635, 543, 4287, 799, 7028, 891, 16292, 17346, 1058, 3111, 267, 585, 814, 519, 524, 14932, 2479, 8959, 538, 782, 891, 1079, 543, 513, 3368, 1296, 7790, 2334, 519, 1554, 4927, 711, 2097, 950, 930, 32068, 4807, 8015, 1200, 17229, 1590, 1796, 1354, 922, 10766, 547, 10956, 281, 834, 300, 525, 4620, 2572, 267, 24924, 562, 262, 344, 679, 513, 7132, 257, 568, 3274, 513, 1966, 540, 4074, 543, 2724, 269, 769, 713, 3013, 814, 513, 10279, 267, 543, 519, 2021, 540, 3013, 513, 17979, 563, 9616, 281, 11427, 269, 918, 749, 17344, 729, 519, 7385, 540, 519, 23070, 540, 519, 10911, 289, 5604, 538, 29761, 269, 0, 2710, 596, 1419, 3956, 693, 9413, 286, 4340, 547, 3173, 267, 713, 15398, 8417, 568, 513, 1434, 1129, 269, 4112, 534, 725, 563, 6097, 547, 513, 2487, 3621, 1353, 267, 24986, 796, 19055, 2406, 538, 4395, 540, 513, 4670, 666, 581, 513, 1129, 540, 968, 16591, 5837, 2631, 5608, 543, 711, 1175, 540, 968, 341, 592, 1676, 1464, 892, 610, 968, 933, 752, 1145, 9731, 1805, 3994, 518, 7106, 549, 1998, 540, 5837, 1098, 326, 11306, 454, 1103, 713, 5619, 267, 3592, 476, 272, 267, 1822, 3703, 2367, 543, 2021, 941, 4767, 563, 19853, 24986, 267, 799, 7018, 1247, 8384, 513, 4670, 610, 2542, 513, 1433, 267, 729, 9916, 538, 1880, 563, 19177, 6688, 540, 17229, 941, 4857, 267, 1519, 912, 268, 519, 17229, 540, 13613, 602, 8451, 1282, 3021, 725, 3248, 268, 6848, 17229, 799, 616, 519, 1267, 540, 7526, 1369, 513, 1895, 3248, 268, 519, 17229, 540, 8296, 602, 2408, 538, 519, 3068, 540, 519, 1928, 540, 1866, 3248, 268, 2366, 14939, 17229, 267, 799, 2049, 538, 4395, 540, 3001, 10207, 630, 16344, 916, 267, 4249, 267, 3092, 28593, 17843, 2055, 941, 1287, 4280, 547, 519, 10457, 543, 741, 10182, 729, 7318, 538, 519, 3068, 540, 476, 1789, 2010, 540, 5837, 1098, 326, 11306, 630, 15533, 267, 7301, 21334, 687, 267, 3092, 28593, 14187, 538, 1010, 1560, 267, 1434, 538, 1010, 2212, 2336, 290, 11538, 1131, 7794, 5837, 2418, 454, 4910, 738, 7790, 634, 1353, 1336, 602, 1346, 945, 524, 3072, 3362, 936, 2835, 543, 9413, 941, 811, 7106, 549, 1324, 540, 5837, 1098, 326, 11306, 563, 4322, 10457, 941, 849, 811, 2693, 547, 24946, 547, 17493, 543, 7106, 17311, 540, 14084, 563, 1103, 1249, 267, 519, 1382, 2319, 11099, 602, 891, 2366, 14939, 1835, 625, 616, 5702, 5532, 547, 5621, 745, 1143, 543, 6568, 269, 2701, 849, 11099, 602, 891, 17229, 12927, 519, 1459, 4090, 267, 519, 4664, 5433, 543, 5837, 2418, 563, 2108, 7212, 2104, 2090, 616, 2877, 267, 621, 5526, 713, 1382, 2591, 519, 26608, 18727, 10206, 602, 1152, 968, 16591, 892, 1004, 3956, 2108, 267, 2161, 3173, 689, 519, 2160, 540, 589, 541, 327, 639, 267, 16862, 267, 538, 519, 4317, 16723, 28743, 269, 0, 268, 476, 271, 269, 272, 476, 272, 269, 17327, 2657, 607, 513, 32001, 547, 3590, 545, 2657, 454, 268, 476, 271, 269, 273, 476, 273, 269, 634, 10020, 540, 17327, 5843, 6798, 727, 538, 3590, 545, 2657, 454, 268, 476, 271, 269, 274, 476, 274, 269, 11270, 7267, 2657, 543, 4706, 8177, 593, 519, 9839, 454, 268, 476, 271, 269, 275, 476, 275, 269, 12128, 543, 17327, 2657, 281, 589, 645, 573, 27399, 20556, 454, 268, 476, 271, 269, 276, 476, 276, 269, 17327, 2657, 543, 28614, 4270, 5630, 454, 268, 476, 271, 269, 277, 476, 277, 269, 26579, 543, 17327, 2657, 281, 20480, 585, 5637, 12624, 543, 4132, 454, 268, 476, 272, 8191, 454, 763, 3095, 1063, 5711, 1072, 543, 11528, 1072, 568, 606, 6946, 543, 1419, 15763, 2460, 540, 2949, 1134, 5630, 269, 901, 3408, 12538, 883, 519, 4241, 4276, 1063, 5711, 1072, 543, 11528, 1072, 267, 17766, 1769, 593, 519, 7096, 1764, 602, 519, 1072, 540, 938, 28182, 666, 723, 593, 519, 3003, 1560, 563, 272, 269, 17327, 2657, 607, 513, 32001, 547, 3590, 545, 2657, 454, 763, 5023, 5713, 607, 513, 6885, 883, 519, 2949, 1072, 540, 519, 1560, 269, 12983, 971, 607, 10733, 2068, 267, 19659, 267, 543, 5711, 5563, 666, 581, 10832, 540, 5817, 1072, 2152, 269, 901, 3296, 7710, 875, 5711, 1072, 666, 2992, 543, 3310, 11528, 1072, 267, 10771, 519, 2956, 540, 11455, 5959, 1416, 563, 273, 269, 634, 10020, 540, 17327, 5843, 6798, 727, 538, 3590, 545, 2657, 454, 763, 5711, 22435, 267, 513, 1950, 5117, 540, 4551, 538, 519, 5023, 267, 4249, 513, 2629, 1909, 538, 1312, 5711, 543, 11528, 1072, 269, 1955, 4472, 1734, 538, 519, 5711, 22435, 666, 3565, 547, 6553, 267, 799, 814, 1044, 5532, 547, 1585, 11528, 2175, 269, 4197, 519, 10347, 3666, 540, 519, 5711, 22435, 2488, 4030, 883, 4509, 6099, 2949, 1072, 563, 274, 269, 11270, 7267, 2657, 543, 4706, 8177, 593, 519, 9839, 454, 10932, 5267, 513, 4276, 1063, 27731, 1072, 543, 9025, 1072, 269, 11270, 7267, 2068, 267, 6353, 676, 6553, 543, 3968, 540, 519, 14779, 267, 949, 2333, 519, 1981, 540, 2295, 2068, 269, 901, 3296, 7710, 519, 6127, 3297, 713, 4276, 543, 519, 2956, 540, 5711, 9882, 538, 5885, 2295, 1072, 563, 275, 269, 12128, 543, 17327, 2657, 281, 589, 645, 573, 27399, 20556, 454, 763, 2078, 1063, 3987, 543, 5711, 1072, 568, 19915, 27399, 1765, 684, 25049, 3987, 666, 1291, 547, 5711, 1072, 2152, 267, 543, 4057, 5711, 1072, 949, 635, 12393, 3987, 2359, 269, 19737, 1312, 2175, 5348, 1120, 12264, 568, 1898, 585, 2043, 609, 3987, 269, 901, 3296, 12538, 883, 519, 16799, 1063, 3987, 543, 5711, 1072, 563, 276, 269, 17327, 2657, 543, 28614, 4270, 5630, 454, 763, 1072, 540, 519, 5711, 13570, 666, 3310, 7929, 1134, 5630, 269, 18648, 5711, 1072, 814, 1044, 5532, 547, 7929, 2175, 971, 607, 16415, 543, 5312, 30126, 17422, 2068, 630, 4596, 11520, 1040, 4197, 519, 4276, 1063, 5711, 1072, 543, 519, 7929, 1062, 19156, 519, 11455, 1935, 2877, 585, 2949, 1072, 563, 277, 269, 26579, 543, 17327, 2657, 281, 20480, 585, 5637, 12624, 543, 4132, 454, 302, 1537, 1072, 568, 540, 1880, 2956, 1282, 6379, 267, 607, 17441, 2242, 666, 1860, 519, 14779, 543, 2333, 519, 1981, 540, 10733, 2068, 269, 3958, 267, 14774, 5711, 1072, 814, 6286, 585, 519, 1126, 779, 1072, 269, 10289, 519, 4276, 1063, 6379, 267, 5711, 1072, 267, 543, 11528, 1072, 8711, 519, 4644, 540, 3102, 27514, 1416, 269, 0, 1432, 568, 4676, 2716, 1108, 888, 8269, 2716, 1108, 568, 513, 3797, 602, 13000, 519, 3952, 547, 3666, 519, 2898, 1560, 269, 4706, 1292, 6240, 568, 602, 676, 2527, 1645, 543, 7311, 2604, 547, 2694, 540, 519, 3952, 267, 1634, 607, 16846, 2127, 267, 824, 7222, 543, 4448, 2127, 540, 519, 1560, 786, 1745, 519, 4324, 563, 1103, 16846, 1108, 267, 519, 3952, 543, 3946, 616, 899, 9910, 7851, 540, 519, 1560, 781, 14169, 865, 1022, 1560, 1062, 666, 581, 15600, 543, 25623, 676, 2527, 1645, 519, 7222, 1858, 540, 519, 3723, 610, 1688, 269, 634, 2832, 568, 547, 12954, 519, 1560, 781, 1378, 7067, 3157, 538, 1931, 547, 1832, 621, 538, 3666, 563, 14611, 11588, 540, 4676, 2716, 1108, 454, 268, 13262, 543, 8082, 8323, 910, 898, 568, 6700, 602, 5111, 476, 4037, 260, 540, 2221, 781, 3676, 616, 2404, 547, 2566, 543, 8082, 269, 901, 5540, 519, 1560, 1949, 538, 1082, 2081, 543, 16846, 1108, 568, 540, 1390, 948, 547, 3035, 27921, 630, 25270, 264, 538, 519, 1560, 563, 268, 10266, 28057, 910, 1439, 6973, 1231, 9658, 1540, 676, 519, 30783, 14189, 616, 849, 2404, 609, 519, 5786, 540, 1928, 563, 268, 5489, 2135, 2305, 910, 22376, 1375, 880, 16846, 525, 616, 25623, 267, 799, 538, 2490, 22262 ]

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

[ 18791, 4661, 566, 267, 543, 4679, 10171, 540, 15028, 17260, 780, 9654, 269, 7351, 12367, 543, 24021, 12983, 538, 661, 11403, 692, 28770, 3101, 3466, 5935, 519, 661, 11403, 5251, 17663, 1384, 288, 269, 14464, 11106, 630, 9590, 264, 10241, 454, 3849, 9330, 906, 538, 3642, 2029, 1631, 7520, 12747, 3561, 2689, 267, 16762, 12642, 267, 5691, 20843, 267, 543, 5100, 20319, 2645, 2966, 547, 20928, 2013, 7245, 4247, 267, 3986, 4398, 267, 543, 2087, 6111, 2429, 519, 661, 11403, 27795, 780, 289, 269, 22647, 670, 792, 902, 543, 6732, 15107, 13257, 454, 763, 4473, 540, 6552, 5873, 902, 10776, 7458, 676, 5046, 268, 866, 6855, 9993, 814, 23185, 3747, 585, 5150, 2228, 5867, 5827, 540, 16475, 3059, 19014, 267, 3381, 1476, 17182, 267, 543, 6531, 2861, 3758, 4687, 3156, 269, 6270, 10124, 9153, 8476, 10333, 267, 13418, 267, 543, 13784, 585, 32321, 24797, 6105, 7722, 538, 3444, 31215, 661, 11403, 2238, 780, 290, 269, 16844, 543, 29621, 9024, 328, 2510, 454, 16391, 3074, 5001, 723, 14556, 1881, 19647, 547, 5009, 4008, 7862, 267, 7292, 5126, 267, 11806, 266, 2924, 267, 9659, 22581, 267, 2085, 4763, 267, 543, 18371, 8417, 1369, 741, 16034, 269, 9182, 267, 661, 11403, 12665, 1590, 3251, 32448, 540, 13346, 15295, 3270, 267, 2686, 22740, 8481, 267, 543, 15424, 22853, 18363, 6870, 6688, 780, 23997, 269, 10390, 692, 1607, 3184, 8268, 1883, 3344, 4478, 7694, 15539, 6571, 267, 10771, 7580, 4485, 16135, 538, 2312, 2792, 267, 11826, 2866, 267, 30190, 2594, 5329, 267, 7059, 6268, 1949, 267, 543, 5698, 609, 4810, 3656, 4648, 269, 1635, 6220, 4207, 7835, 543, 2104, 2591, 267, 3988, 6591, 4030, 883, 11455, 661, 11403, 10850, 26405, 547, 5838, 4264, 8013, 5383, 9624, 6422, 2344, 2175, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 9372, 814, 513, 5010, 543, 1455, 1876, 2259, 609, 513, 1880, 1445, 593, 5010, 543, 6142, 13882, 267, 1587, 15668, 1299, 2527, 12475, 1895, 3527, 267, 1072, 1299, 3106, 543, 3959, 563, 3891, 21783, 689, 27076, 5441, 267, 11062, 609, 513, 17677, 3689, 538, 2296, 1354, 4974, 693, 519, 9576, 9142, 540, 8535, 543, 519, 670, 5255, 338, 577, 2544, 24166, 4053, 1731, 538, 595, 860, 928, 543, 2324, 585, 1896, 1296, 607, 513, 8106, 22256, 269, 1261, 14753, 4436, 543, 814, 513, 2324, 1702, 540, 3943, 543, 7969, 563, 13731, 9372, 729, 5116, 1101, 538, 1010, 1032, 585, 519, 8713, 292, 538, 13751, 5525, 693, 5507, 3162, 7813, 2160, 563, 3891, 568, 849, 606, 26886, 18657, 1807, 563, 2690, 811, 1344, 827, 519, 1259, 536, 1551, 8651, 693, 26673, 3205, 16422, 1499, 960, 267, 1519, 938, 2474, 540, 6278, 267, 13927, 11413, 3948, 543, 938, 20286, 1184, 267, 5225, 4945, 1934, 269, 645, 1551, 8651, 616, 14931, 676, 519, 4446, 11621, 8274, 563, 4467, 14293, 267, 15928, 1299, 1488, 4226, 1674, 454, 13731, 9372, 814, 3573, 1995, 540, 5010, 25036, 543, 32404, 267, 4749, 609, 606, 3486, 3897, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10387, 7877, 2598, 335, 1393, 22375, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 18366, 22375, 1299, 2405, 2747, 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, 4495, 2390, 513, 942, 267, 538, 513, 14297, 2749, 5030, 1079, 1655, 2828, 267, 23183, 543, 16888, 269, 23183, 729, 606, 909, 18566, 543, 23904, 1268, 945, 6068, 4730, 519, 30413, 1247, 16888, 729, 811, 3978, 543, 9602, 267, 1419, 11589, 5128, 998, 1010, 15885, 593, 519, 14440, 269, 1358, 3838, 513, 6612, 585, 2575, 543, 9413, 267, 865, 789, 4956, 547, 12840, 593, 1818, 513, 2110, 4670, 1927, 780, 300, 807, 6700, 1603, 513, 7097, 827, 513, 1762, 8004, 3957, 15039, 945, 1185, 4503, 1200, 3993, 543, 5433, 4805, 538, 519, 1158, 269, 2701, 2219, 621, 1131, 581, 15700, 952, 15039, 1336, 24176, 538, 2575, 1310, 11836, 513, 1153, 6512, 269, 11531, 267, 16888, 4941, 547, 17492, 519, 3501, 7574, 6060, 547, 7001, 519, 1114, 30181, 2429, 519, 4670, 780, 297, 14493, 2813, 1896, 4773, 585, 1585, 10207, 267, 4358, 609, 513, 14264, 3273, 545, 6249, 585, 950, 15039, 1101, 16137, 827, 1200, 3993, 781, 2669, 269, 1261, 1031, 2571, 14440, 4967, 10483, 676, 11029, 12673, 547, 6655, 519, 7962, 1465, 543, 28194, 15039, 7959, 3330, 269, 1306, 1352, 5956, 547, 1921, 609, 824, 12372, 538, 1200, 1153, 6512, 267, 646, 3773, 22488, 3574, 13388, 7405, 547, 2099, 1007, 17052, 19806, 4040, 780, 2690, 519, 6172, 1314, 1141, 15039, 8188, 14488, 1282, 513, 2101, 2773, 267, 16888, 7768, 3728, 19550, 25576, 15664, 18819, 23091, 609, 14221, 5569, 23964, 267, 2679, 8082, 543, 24736, 269, 2311, 519, 1482, 942, 267, 23183, 5206, 19929, 1063, 15039, 543, 1200, 8284, 12372, 7234, 2994, 585, 7829, 6397, 2591, 4571, 26024, 269, 901, 5698, 12006, 16542, 543, 2500, 2792, 1983, 1107, 1898, 2609, 585, 1022, 3811, 1788, 610, 2078, 780, 7628, 2504, 267, 2705, 267, 7526, 3323, 16109, 1813, 547, 18312, 8369, 3823, 1978, 3344, 540, 519, 4670, 269, 1280, 3236, 267, 972, 941, 22195, 936, 2436, 547, 1331, 8763, 1893, 538, 835, 1880, 6429, 269, 2991, 1454, 7521, 267, 789, 7691, 602, 4509, 16614, 7391, 3366, 873, 6251, 547, 4466, 993, 27809, 3435, 982, 759, 15659, 547, 12699, 7440, 269, 769, 3257, 865, 267, 789, 4121, 3407, 4245, 827, 14207, 267, 1620, 4244, 5380, 267, 543, 6236, 5683, 6286, 1354, 2921, 2962, 780, 1103, 1776, 3236, 267, 13253, 15583, 730, 2417, 950, 16888, 15034, 23183, 540, 711, 4758, 2614, 3007, 547, 1469, 538, 1200, 7097, 8586, 1184, 269, 5502, 540, 32232, 1219, 13208, 267, 23183, 3576, 519, 9880, 9797, 543, 5249, 2182, 547, 2087, 1200, 4739, 269, 3414, 1930, 2792, 9055, 267, 789, 9619, 1142, 824, 781, 4145, 543, 24458, 3025, 5433, 4862, 543, 24019, 780, 2026, 519, 4670, 27636, 267, 789, 11368, 782, 891, 2833, 883, 741, 960, 267, 4611, 538, 513, 3532, 3803, 1587, 4904, 609, 6151, 7553, 267, 12416, 267, 543, 6667, 269, 4256, 4074, 540, 2648, 6566, 328, 1229, 693, 513, 2199, 14364, 267, 8391, 2565, 1035, 8010, 543, 11121, 1082, 13588, 6849, 2147, 9620, 538, 1483, 1272, 269, 1635, 6220, 8076, 1480, 4296, 543, 5466, 11541, 2152, 1369, 741, 4670, 267, 23183, 543, 16888, 7152, 519, 13710, 1379, 540, 1148, 543, 922, 4390, 547, 12115, 16398, 267, 1628, 13123, 267, 543, 6536, 4126, 9624, 21817, 780, 9961, 713, 3460, 267, 1312, 2828, 4362, 519, 4644, 540, 6568, 267, 8699, 267, 543, 6043, 1107, 7907, 2629, 711, 1152, 538, 3860, 18697, 855, 849, 538, 4948, 2713, 269, 5015, 267, 789, 6444, 519, 1871, 540, 5698, 543, 19713, 1367, 9342, 547, 3035, 7104, 3853, 269, 26361, 782, 3116, 267, 789, 6956, 602, 1169, 3375, 814, 4539, 267, 3450, 873, 5539, 543, 12477, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 3280, 10177, 1188, 3986, 519, 7099, 540, 519, 6429, 888, 296, 1810, 1405, 723, 513, 16148, 1995, 855, 1775, 666, 1683, 930, 2489, 1806, 540, 875, 3280, 339, 13715, 949, 3986, 519, 7099, 540, 519, 6429, 1384, 272, 269, 4259, 519, 3159, 281, 513, 3280, 10177, 1188, 666, 3715, 519, 7099, 540, 513, 6429, 269, 585, 1383, 267, 513, 8909, 610, 10565, 6060, 1223, 5815, 602, 1945, 8909, 610, 13249, 568, 8345, 780, 273, 269, 2870, 24457, 281, 513, 3280, 10177, 1188, 666, 1711, 24457, 543, 8082, 676, 1210, 552, 24809, 610, 796, 3553, 339, 1782, 4992, 267, 2575, 610, 16563, 780, 274, 269, 5885, 519, 4729, 281, 519, 3280, 10177, 1188, 666, 1489, 519, 4729, 676, 25967, 1681, 1880, 4729, 2798, 267, 971, 607, 513, 11509, 610, 7920, 10207, 780, 275, 269, 7393, 519, 3929, 1764, 281, 2575, 666, 3986, 519, 3929, 1764, 540, 513, 6429, 676, 14556, 4328, 519, 5304, 779, 4664, 610, 4606, 2509, 519, 3197, 780, 276, 269, 4259, 519, 5736, 610, 1747, 281, 519, 3280, 10177, 1188, 666, 948, 547, 3715, 519, 942, 543, 1747, 538, 799, 519, 7260, 568, 1305, 269, 585, 1383, 267, 513, 3280, 10177, 1188, 10023, 2575, 689, 519, 476, 2004, 338, 1223, 5815, 602, 519, 7260, 568, 1305, 538, 602, 5736, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 281, 17510, 11352, 12186, 1107, 1215, 2659, 19024, 538, 519, 7731, 2052, 23426, 1411, 692, 5331, 596, 723, 1175, 8452, 1753, 1310, 513, 1279, 1554, 693, 1153, 267, 9599, 547, 2995, 707, 1920, 827, 519, 2257, 1788, 596, 4076, 1044, 2324, 593, 782, 3018, 269, 1717, 267, 1354, 596, 1256, 1205, 513, 4960, 547, 1376, 6158, 267, 707, 4587, 7015, 23217, 3045, 25555, 1010, 5767, 22920, 1765, 7773, 940, 1101, 1747, 538, 519, 6237, 13558, 29658, 269, 6496, 713, 9183, 3280, 5432, 286, 1403, 865, 267, 596, 1522, 581, 5461, 547, 1451, 875, 4332, 1931, 666, 3310, 707, 7209, 267, 3347, 267, 543, 2833, 1369, 707, 1920, 2439, 1432, 1772, 17510, 11352, 888, 2411, 19030, 8245, 2952, 2322, 267, 4332, 1931, 4016, 547, 519, 2990, 1142, 1126, 6585, 538, 741, 1920, 1759, 593, 950, 789, 941, 4535, 269, 15380, 267, 972, 616, 2185, 6688, 540, 4332, 1931, 281, 9510, 267, 21836, 267, 1647, 267, 543, 1152, 1453, 269, 3962, 7121, 2501, 609, 922, 1378, 1305, 540, 2189, 7592, 543, 2591, 1813, 547, 3604, 538, 15366, 6788, 267, 24107, 31195, 267, 543, 1367, 29525, 780, 763, 6196, 652, 4132, 454, 1366, 15365, 2026, 519, 7800, 652, 1126, 267, 596, 2693, 4607, 3768, 22866, 3007, 689, 707, 3237, 1282, 519, 2038, 1296, 540, 707, 1272, 269, 901, 1419, 2164, 538, 2178, 5718, 1983, 267, 5539, 267, 931, 2615, 1190, 1145, 267, 543, 513, 12402, 547, 1246, 3652, 5702, 269, 3958, 267, 1373, 519, 1909, 2203, 543, 1383, 585, 707, 7820, 16254, 949, 1291, 547, 2362, 4081, 9740, 543, 20440, 2157, 780, 4913, 267, 621, 781, 1271, 547, 3314, 602, 891, 7592, 5749, 1405, 16798, 282, 1169, 1268, 814, 741, 2189, 7907, 7488, 540, 4332, 1931, 269, 1280, 3236, 267, 930, 9510, 1453, 949, 1745, 2604, 547, 7683, 856, 704, 845, 741, 16254, 543, 1831, 22350, 8013, 610, 19870, 2065, 780, 763, 5664, 4132, 454, 1366, 19567, 18455, 519, 1647, 1126, 1797, 3395, 909, 1063, 1079, 824, 16254, 945, 4440, 18796, 1454, 540, 707, 3237, 262, 942, 543, 1648, 269, 1677, 1796, 856, 267, 596, 1522, 1020, 5140, 19908, 1983, 267, 5876, 267, 7115, 267, 543, 13916, 269, 4595, 596, 1810, 1405, 2141, 4309, 519, 1482, 1377, 540, 3007, 607, 707, 4587, 543, 7820, 16254, 267, 596, 1223, 1265, 4244, 2081, 547, 2769, 3054, 267, 971, 607, 998, 1148, 267, 2575, 267, 610, 5026, 780, 4002, 519, 17498, 728, 267, 4743, 15763, 610, 31083, 611, 15735, 12212, 949, 1267, 538, 1970, 1582, 12635, 610, 30983, 2509, 707, 16254, 269, 898, 781, 1898, 547, 5431, 602, 3025, 8309, 19918, 547, 519, 1920, 6422, 543, 19262, 3160, 7071, 780, 763, 8479, 652, 4132, 454, 2411, 7042, 25105, 267, 519, 4816, 540, 519, 1920, 256, 10705, 2938, 607, 23406, 267, 15754, 622, 267, 543, 21245, 267, 21836, 1453, 2356, 2972, 2348, 4587, 16254, 1472, 547, 3391, 873, 998, 1585, 5933, 540, 1272, 269, 1358, 4324, 689, 1565, 3407, 1514, 1983, 899, 4687, 267, 2921, 7140, 267, 543, 7829, 4655, 6571, 1247, 4730, 609, 741, 14552, 543, 19946, 780, 7212, 21836, 1453, 4043, 547, 581, 811, 1416, 16451, 543, 1447, 3743, 982, 741, 4587, 16254, 267, 789, 1869, 4865, 6909, 1761, 585, 1967, 952, 2016, 2614, 1489, 543, 19015, 269, 2311, 2053, 267, 2705, 267, 789, 1522, 6560, 609 ]

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

[ 269, 570, 2454, 1200, 1352, 1223, 17277, 610, 2887, 543, 1352, 1590, 454, 19769, 593, 519, 16064, 563, 2691, 12391, 585, 513, 16143, 2212, 267, 8405, 610, 454, 4944, 1400, 5945, 538, 1216, 267, 1697, 8261, 538, 11060, 454, 321, 269, 3038, 3660, 1210, 519, 2212, 10943, 842, 4480, 563, 22998, 609, 824, 1272, 7666, 1841, 267, 9744, 5234, 543, 454, 27273, 6665, 832, 607, 513, 2319, 568, 912, 321, 269, 2290, 540, 519, 3119, 9021, 540, 454, 2791, 616, 513, 1272, 31384, 593, 13178, 10279, 1282, 513, 454, 24650, 344, 1920, 7669, 8400, 269, 898, 568, 1271, 547, 912, 321, 269, 2480, 534, 782, 2127, 538, 707, 8655, 7997, 540, 454, 16225, 720, 543, 4163, 707, 15063, 8546, 609, 596, 454, 520, 782, 2053, 563, 1724, 269, 589, 2212, 267, 8405, 610, 11983, 5945, 10355, 4523, 912, 320, 269, 769, 2620, 1216, 693, 513, 24892, 9744, 563, 7617, 540, 519, 1739, 568, 3020, 827, 23139, 454, 325, 1815, 531, 13847, 630, 288, 15709, 338, 25145, 322, 269, 18859, 1216, 2126, 267, 10151, 7535, 454, 26918, 543, 7525, 1272, 31384, 3007, 563, 2791, 616, 1272, 7666, 8973, 1282, 513, 1920, 7669, 8400, 950, 596, 5469, 513, 7669, 1067, 10977, 2407, 13080, 540, 519, 7535, 896, 1216, 269, 1548, 1058, 596, 798, 888, 322, 269, 8056, 2664, 2299, 3247, 1864, 689, 11173, 519, 454, 13808, 543, 2491, 519, 12178, 540, 519, 2534, 563, 5475, 9427, 513, 6857, 6408, 596, 14353, 814, 513, 11983, 5945, 689, 519, 1216, 267, 596, 1058, 798, 782, 519, 1739, 4849, 912, 322, 269, 16959, 519, 6408, 1055, 543, 4019, 519, 21181, 540, 454, 1704, 269, 5565, 1272, 7666, 1841, 616, 593, 13178, 10279, 1282, 513, 1857, 7669, 269, 1411, 616, 593, 513, 2736, 269, 2290, 1272, 31384, 31591, 519, 9744, 781, 661, 4338, 585, 513, 24760, 12809, 6408, 543, 13788, 519, 1216, 269, 6904, 3268, 1058, 596, 1491, 1985, 547, 4217, 538, 519, 15063, 888, 321, 269, 20780, 519, 1394, 4580, 547, 519, 1272, 31384, 543, 4217, 454, 514, 9427, 519, 6408, 689, 519, 1216, 607, 519, 454, 1278, 1272, 31384, 1579, 1513, 519, 7535, 563, 288, 1272, 31384, 8952, 606, 3750, 593, 519, 29123, 540, 519, 7535, 267, 10992, 519, 5377, 267, 1647, 543, 2627, 540, 519, 1216, 269, 1261, 568, 11744, 912, 321, 269, 13229, 17655, 563, 288, 3993, 543, 1200, 5067, 3802, 936, 547, 596, 282, 1352, 2829, 602, 646, 8593, 593, 519, 7535, 16064, 543, 5734, 1010, 2212, 269, 1411, 5469, 646, 814, 1973, 543, 5714, 4881, 689, 1010, 1274, 543, 646, 568, 4743, 546, 714, 5414, 269, 1548, 3268, 1058, 596, 1491, 1985, 888, 323, 269, 3629, 8261, 32278, 1247, 519, 824, 454, 5158, 7666, 1841, 5965, 547, 1394, 4580, 1864, 563, 763, 1272, 31384, 28643, 26770, 519, 7535, 547, 581, 454, 854, 11112, 538, 519, 12784, 269, 1280, 2500, 19121, 454, 31162, 557, 11462, 267, 1352, 5036, 909, 2789, 1272, 31384, 10473, 547, 2569, 519, 1297, 540, 29123, 14478, 676, 1142, 1272, 31384, 269, 901, 1826, 540, 3795, 568, 1572, 912, 323, 269, 18630, 3795, 563, 2414, 3927, 11571, 267, 596, 1590, 912, 323, 269, 8844, 707, 2212, 543, 4064, 607, 596, 11571, 547, 1413, 454, 29715, 569, 693, 1142, 1858, 2864, 982, 31325, 538, 513, 454, 2691, 3246, 1416, 547, 513, 6857, 1268, 596, 454, 338, 639, 1051, 540, 2348, 513, 2212, 267, 8405, 610, 11983, 5945, 543, 945, 729, 13676, 689, 513, 2887, 593, 519, 7535, 16064, 912, 323, 269, 1411, 798, 711, 1847, 519, 6408, 8259, 519, 6429, 454, 288, 4807, 2458, 1938, 609, 1776, 7669, 1067, 1247, 454, 323, 1516, 883, 519, 7535, 543, 12134, 519, 1272, 31384, 585, 454, 15276, 269, 9453, 3257, 606, 4879, 267, 519, 1272, 31384, 6645, 519, 4807, 1352, 666, 3136, 10977, 269, 634, 4807, 3762, 519, 9744, 543, 11394, 2564, 3007, 689, 513, 6413, 1310, 1352, 5956, 547, 1745, 32688, 17915, 538, 1200, 7916, 543, 7953, 269, 634, 1272, 31384, 949, 581, 912, 7628, 513, 4365, 5829, 1379, 5821, 693, 513, 9744, 267, 596, 1058, 912, 320, 269, 13068, 3025, 689, 519, 7535, 563, 7628, 538, 28129, 2866, 267, 1272, 7666, 1841, 2259, 454, 1492, 3268, 540, 9301, 513, 1253, 5962, 7669, 1067, 2676, 637, 322, 5224, 606, 3742, 6408, 267, 26655, 2359, 543, 6340, 609, 22168, 269, 634, 1272, 7666, 1841, 616, 8026, 2694, 540, 513, 3799, 2187, 321, 269, 17073, 2962, 1544, 563, 2791, 4283, 519, 7344, 4055, 543, 1265, 513, 454, 10852, 5199, 11832, 14084, 593, 1010, 1394, 593, 519, 454, 28776, 1985, 547, 513, 21117, 269, 1411, 2638, 519, 6429, 543, 454, 323, 9057, 710, 621, 568, 2922, 547, 4283, 269, 4438, 707, 3119, 4879, 267, 596, 1265, 519, 6408, 568, 17499, 855, 7244, 269, 1411, 1590, 4734, 547, 1205, 948, 267, 1018, 1058, 454, 320, 269, 8844, 1864, 883, 519, 670, 6993, 269, 2562, 9950, 2529, 269, 2990, 563, 7617, 540, 519, 1739, 568, 3020, 952, 519, 9614, 540, 454, 1492, 9744, 814, 8655, 596, 607, 519, 1152, 1272, 31384, 10647, 19121, 13178, 888, 320, 269, 1411, 723, 1044, 8655, 547, 2698, 3795, 563, 7617, 540, 519, 1739, 4773, 540, 3937, 991, 547, 581, 3362, 3015, 585, 6595, 946, 912, 321, 269, 7982, 4580, 267, 589, 3633, 454, 288, 4480, 547, 7413, 3350, 585, 513, 6408, 454, 5976, 513, 16143, 2212, 267, 8405, 610, 11983, 5945, 945, 568, 3068, 16365, 267, 693, 519, 2627, 543, 538, 1216, 1447, 982, 476, 274, 3952, 2620, 568, 519, 912, 321, 269, 10361, 10943, 842, 4480, 563, 2252, 1614, 1272, 7666, 1841, 616, 593, 10279, 267, 6595, 1394, 5346, 3795, 3217, 1747, 912, 322, 269, 1879, 513, 1272, 31384, 13788, 519, 1216, 585, 513, 15063, 563, 7617, 540, 519, 1739, 568, 519, 2547, 1271, 585, 513, 2922, 1895, 3643, 547, 513, 7535, 888, 322, 269, 23496, 972, 616, 2789, 2238, 9709, 454, 1721, 519, 1895, 454, 4407, 12391, 585, 2576, 609, 513, 16143, 11983, 5945, 267, 596, 5150, 519, 2269, 1186, 593, 513, 1394, 4580, 538, 519, 1739, 1931, 912, 323, 269, 16592, 9221, 267, 25637, 267, 25427, 338, 454, 2005, 568, 519, 3119, 5539, 540, 9744, 454, 2006, 1771, 547, 1683, 782, 855, 799, 540, 454, 323, 269, 3447, 908, 29123, 827, 543, 30191, 454, 763, 9651, 2792, 3044, 2882, 454, 327, 3058, 9049, 9169, 1344, 2139, 269, 1548, 568, 454, 514, 7672, 538, 713, 1344, 888, 321, 269, 1230, 13935, 1344, 827, 1018, 1826, 540, 454, 23755, 338, 616, 538, 946, 693, 519, 9744, 454, 288, 19121, 546, 1161, 883, 519, 13719, 1439, 540, 519, 22272, 7535, 269, 1411, 14353, 1352, 814, 513, 2212, 267, 8405, 610, 11983, 5945, 1317, 1352, 814, 912, 322, 269, 10552, 538, 519, 10772, 543, 9224, 563, 306, 1115, 609, 2147, 2474, 454, 16908, 2871, 8973, 4530, 454, 16908, 2871, 8973, 4530, 454, 13563, 4414, 9061, 5020, 31384, 18873, 589, 454, 8448, 5036, 676, 713, 17082, 454, 4338, 29583, 13658, 2280, 3184, 476, 1321, 454, 294, 990, 13047, 3184, 476, 1556, 454, 8448, 13658, 2280, 5036, 454, 17445, 30880, 15789, 454, 288, 261, 303, 3848, 476, 277, 454, 288, 16064, 540, 6486, 454, 18800, 2657, 3163, 0, 8489, 616, 3615, 540, 4704, 1031, 888, 30606, 338, 540, 13129, 616, 3615, 1031, 547, 2099, 513, 1268, 267, 2534, 610, 2680, 269, 3683, 942, 519, 1268, 16137, 602, 519, 1843, 6763, 585, 602, 1268, 267, 2534, 610, 2680, 269, 27014, 540, 13129, 616, 1031, 547, 948, 513, 1268, 1174, 1018, 568, 8345, 538, 741, 1604, 543, 849, 581, 1031, 547, 948, 1004, 1118, 5079, 563, 1432, 616, 3615, 1031, 585, 2792, 888, 30606, 338, 616, 1031, 547, 2099, 2238, 267, 4025, 267, 543, 1004, 269, 6201, 540, 891, 3615, 1331, 281, 18282, 630, 328, 4318, 1421, 4062, 540, 24095, 267, 24120, 267, 3574, 267, 5068, 1070, 9910, 2137, 267, 4773, 540, 519, 1483, 1843, 267, 543, 3615, 602, 616, 4010, 519, 1482, 607, 1346, 1373, 1031, 563, 1692, 798, 596, 4001, 3615, 540, 8100, 888, 8196, 513, 1129, 543, 5924, 2161, 547, 873, 552, 3052, 269, 968, 4707, 585, 513, 3802, 269, 968, 476, 273, 269, 2991, 4758, 519, 8629, 540, 13129, 596, 1058, 1376, 519, 2534, 5612, 547, 948, 873, 1174, 519, 4276, 1063, 519, 1843, 543, 519, 2534, 563, 8005, 1281, 3615, 540, 4704, 948, 888, 30606, 338, 540, 4704, 616, 3615, 602, 2099, 513, 1268, 267, 1843, 267, 4087, 630, 2897, 264, 610, 2680, 630, 13808, 1040, 1358, 666, 948, 1453, 609, 2792, 2042, 543, 3606, 1565, 2115, 269, 1358, 948, 1453, 547, 1451, 1018, 568, 8345, 538, 741, 1554, 563, 1432, 616, 623, 4488, 306, 6698, 888, 303, 4488, 306, 568, 513, 1826, 540, 4119, 618, 894, 543, 20010, 9442, 602, 3096, 3308, 6698, 547, 4001, 519, 15226, 547, 5968, 609, 3237, 267, 1416, 3464, 267, 3610, 543, 9905, 269, 634, 2832, 568, 547, 4001, 18532, 267, 6198, 2792, 543, 547, 1450, 3755, 547, 5968, 741, 6499, 543, 2115, 563, 1432, 568, 513, 2698, 2792, 1935, 888, 1432, 568, 513, 2698, 2792, 1935, 286, 634, 2698, 2792, 1935, 568, 827, 4466, 543, 1210, 519, 1318, 4999, 540, 2792, 2409, 585, 1142, 1268, 269, 901, 1935, 2337, 606, 1367, 547, 1106, 4296, 267, 5849, 3811, 4205, 543, 7028, 1344, 15377, 543, 7391, 563, 1432, 616, 519, 2010, 540, 2792, 888, 26668, 9537, 540, 9442, 454, 268, 7638, 4472, 9442, 269, 7638, 4472, 2792, 4386, 950, 649, 4497, 538, 6340, 609, 1866, 563, 268, 6348, 13305, 518, 4472, 9442, 269, 1548, 649, 798, 1247, 649, 3717, 1419, 3081, 811, 982, 519, 4890, 1913, 563, 268, 18838, 9442, 563, 268, 10439, 9442, 563, 1432, 568, 2956, 2792, 888, 763, 2792, 6770, 1004, 1927, 267, 6251, 547, 1142, 824, 269, 634, 2792, 568, 606, 1271, 2359, 1599, 5702, 2404, 609, 782, 824, 31707, 3252, 269, 898, 13123, 519, 7934, 1063, 2043, 543, 2516, 998, 2095, 540, 1344, 543, 1620, 1063, 873, 563, 1692, 798, 4704, 3615, 1489, 2792, 888, 2304, 1843, 540, 4704, 568, 1022, 1843, 799, 568, 1031, 18928, 547, 2099, 606, 6221, 267, 2534, 267, 1747, 267, 610, 1268, 269, 4197, 1483, 3615, 568, 519, 1101, 3942, 540, 12572, 1646, 269, 27014, 540, 4704, 616, 1031, 609, 2043, 945, 1265, 621, 2352, 547, 1174, 9275, 1913, 267, 4191, 267, 6698, 610, 11147, 563, 1432, 616, 623, 1815, 338, 6698, 888, 1432, 616, 519, 3670, 11775, 540, 623, 4488, 306, 888, 763, 623, 4488, 306, 1935, 4386, 538, 476, 277, 11775, 563, 268, 18001, 476, 272, 1107, 1855, 2851, 519, 3593, 2048, 1692, 547, 5968, 20371, 268, 18001, 476, 273, 1107, 1855, 2851, 2048, 291, 2700, 543, 18094, 20371, 268, 18001, 476, 274, 1107, 1855, 2851, 2048, 303, 27348, 26521, 685, 630, 24392, 930, 3755, 1020, 538, 1912, 1162, 476, 272, 1299, 476, 273, 994, 268, 18001, 476, 275, 1107, 1855, 2851, 519, 3593, 547, 1628, 513, 2048, 306, 27542, 2497, 20371, 1692, 798, 596, 2936, 623, 4488, 306, 538, 519, 4928, 888, 1692, 547, 2422, 623, 4488, 306, 454, 268, 4518, 609, 513, 4633, 25082, 2619, 6048, 630, 306, 10861, 264, 547, 4001, 707, 1126, 875, 547, 946, 623, 4488, 306, 563, 268, 12315, 707, 1126, 1896, 6486, 609, 824, 5172, 3688, 593, 621, 563, 268, 1879, 707, 1126, 5526, 4625, 6899, 609, 623, 4488, 306, 267, 5000, 1864, 547, 2253, 547, 1106, 5220, 563, 1692, 616, 3615, 540, 4704, 1031, 538, 2792, 888, 4913, 267, 713, 1106, 540, 2792, 666, 849, 581, 1031, 538, 1082, 811, 1950, 2081, 543, 519, 1367, 666, 5968, 267, 1118, 5079, 267, 543, 1451, 1893, 269, 1403, 649, 666, 1020, 519, 946, 540, 18282, 267, 3615, 543, 6698, 267, 649, 666, 2087, 12438, 1049, 1983, 267, 15971, 267, 1020, 1893, 2035, 267, 543, 2792, 563, 1692, 616, 3615, 540, 4704, 1031, 538, 4948, 1272, 888, 15953, 338, 540, 4704, 1548, 568, 606, 1843, 540, 4704, 286, 27014, 540, 4704, 616, 15889, 267, 3818, 1606, 29022, 3615, 1031, 547, 2099, 513, 1268, 267, 2534, 610, 2680, 269, 3683, 942, 513, 1126, 666, 1451, 602, 519, 1843, 6763, 585, 1945, 269, 27014, 540, 4704, 616, 1031, 547, 948, 513, 1268, 1174, 1018, 568, 8345, 538, 741, 1604, 563, 2691, 547, 946, 23877, 543, 3615, 540, 4704, 888, 24058, 338, 543, 3615, 540, 4704, 616, 1390, 267, 543, 666, 581, 1031, 538, 865, 1082, 2081, 269, 1358, 616, 2523, 3730, 609, 1453, 945, 723, 4049, 1565, 7965, 267, 2027, 2115, 267, 10295, 610, 2792, 8488, 269, 10439 ]

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

[ 513, 1007, 835, 610, 851, 540, 835, 2008, 347, 534, 10811, 1475, 341, 281, 547, 1039, 8513, 547, 513, 2197, 267, 1533, 267, 610, 3148, 267, 3335, 676, 21037, 282, 630, 29825, 264, 606, 1840, 602, 11498, 513, 1292, 2679, 2008, 347, 2889, 8010, 1475, 341, 281, 547, 14773, 610, 1533, 1945, 15597, 543, 3196, 2685, 2008, 347, 1260, 21215, 1475, 341, 281, 547, 1331, 610, 2874, 540, 1945, 282, 519, 957, 540, 1818, 909, 610, 8108, 1945, 2008, 347, 785, 11163, 1475, 333, 281, 5191, 689, 1776, 779, 610, 1866, 685, 1852, 610, 3310, 2008, 347, 1440, 4532, 760, 1275, 1475, 333, 281, 513, 8513, 12199, 676, 513, 19036, 610, 5918, 651, 2008, 347, 12584, 22066, 1475, 29951, 281, 17528, 547, 9585, 606, 5497, 1267, 610, 2348, 606, 30369, 6364, 282, 711, 3811, 2008, 347, 516, 8010, 1475, 341, 281, 547, 1491, 1394, 1945, 5892, 4503, 267, 2016, 267, 610, 6976, 267, 610, 2307, 547, 723, 621, 1394, 2008, 347, 15404, 3916, 1475, 333, 281, 513, 1246, 518, 540, 519, 4984, 540, 5771, 2008, 347, 5632, 13023, 622, 1475, 333, 281, 606, 9099, 1533, 896, 519, 5718, 540, 606, 9099, 12403, 731, 609, 519, 2140, 540, 1608, 13023, 2008, 347, 2102, 2045, 1475, 29951, 281, 540, 610, 11341, 547, 6090, 32372, 2694, 540, 519, 5027, 538, 2281, 264, 610, 519, 2257, 540, 6090, 2008, 347, 704, 1417, 720, 1475, 333, 281, 519, 1297, 267, 2179, 267, 610, 2557, 540, 1945, 267, 799, 568, 2356, 519, 2179, 829, 4627, 2008, 347, 9188, 25728, 1475, 341, 281, 547, 1847, 18746, 543, 2539, 282, 547, 2097, 689, 267, 610, 547, 581, 4448, 676, 513, 2078, 540, 1973, 2008, 347, 325, 17213, 1475, 29951, 281, 9237, 543, 25442, 282, 1930, 543, 6596, 538, 4082, 2008, 347, 629, 323, 6510, 1475, 341, 281, 547, 2285, 909, 267, 15646, 8784, 267, 610, 882, 22055, 880, 513, 17599, 267, 1318, 267, 610, 5539, 2008, 347, 4364, 8148, 1475, 29951, 281, 11341, 547, 610, 10362, 547, 519, 5664, 6520, 602, 568, 585, 519, 1974, 540, 589, 6185, 269, 7785, 547, 589, 6185, 269, 476, 13970, 271, 2008, 347, 5586, 754, 1475, 333, 281, 606, 2025, 1650, 602, 949, 610, 949, 711, 581, 4977, 3823, 930, 7606, 543, 2621, 282, 513, 1134, 8153, 1268, 945, 568, 25343, 676, 1866, 585, 513, 1279, 942, 267, 3226, 538, 513, 1880, 2361, 2008, 347, 330, 9519, 1475, 333, 281, 513, 15841, 17199, 538, 519, 2250, 267, 3335, 835, 540, 15626, 4332, 8036, 547, 4339, 538, 24915, 282, 630, 339, 3736, 538, 4279, 6628, 264, 513, 1268, 28165, 676, 519, 19988, 585, 2123, 20519, 2008, 347, 6635, 11037, 1014, 1475, 29951, 281, 11341, 547, 4622, 14880, 543, 519, 8941, 543, 17691, 2404, 609, 1864, 2008, 347, 333, 984, 548, 2006, 1475, 333, 281, 513, 812, 540, 1164, 7584, 610, 4567, 2008, 347, 322, 5971, 748, 1475, 29951, 281, 2111, 547, 3068, 543, 4308, 609, 8594, 610, 4250, 1510, 1166, 514, 4221, 347 ]

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

[ 2813, 9746, 15523, 538, 1931, 547, 2344, 811, 9921, 1543, 982, 568, 3335, 2404, 609, 922, 17514, 1222, 1920, 15129, 12478, 269, 634, 2754, 568, 1655, 1634, 585, 519, 2472, 540, 922, 4670, 18638, 267, 32240, 18557, 2289, 3930, 267, 799, 568, 2221, 835, 540, 519, 4102, 543, 1655, 8153, 801, 3930, 538, 1977, 21576, 269, 18557, 781, 824, 1614, 1292, 15523, 616, 32240, 18557, 20088, 543, 1763, 2176, 267, 18557, 9012, 17978, 267, 543, 18557, 19901, 15733, 543, 20308, 9012, 269, 18557, 849, 22595, 543, 13333, 519, 13235, 13739, 8613, 3060, 282, 10814, 8613, 5121, 971, 607, 18557, 19305, 267, 661, 9915, 301, 267, 589, 266, 292, 17978, 267, 543, 5131, 845, 282, 13629, 267, 23335, 2358, 267, 2575, 267, 543, 16222, 15523, 282, 543, 22595, 543, 27121, 476, 1691, 6249, 11614, 1472, 519, 1158, 269, 634, 2754, 814, 1044, 513, 5057, 540, 519, 22337, 13643, 11633, 19105, 2094, 2904, 476, 277, 267, 476, 1960, 272, 269, 12130, 4486, 31040, 267, 606, 2038, 543, 1134, 8153, 20419, 5137, 540, 519, 2754, 267, 568, 513, 3119, 3090, 543, 544, 2444, 582, 585, 18557, 269, 0, 1103, 713, 18248, 594, 786, 581, 1603, 827, 2620, 5498, 320, 7068, 543, 2713, 8093, 563, 28308, 15798, 616, 2808, 547, 581, 476, 1220, 332, 2620, 543, 3564, 1141, 1100, 1769, 689, 519, 3141, 666, 23309, 269, 2060, 1100, 1769, 547, 1489, 519, 6337, 24678, 7103, 1082, 10196, 5156, 602, 972, 941, 1100, 1272, 11478, 538, 891, 17909, 269, 1717, 1631, 649, 917, 7064, 547, 6639, 13120, 649, 666, 6494, 20140, 1149, 547, 1294, 1082, 2620, 5498, 320, 7068, 563, 29670, 8093, 568, 606, 11248, 602, 5654, 2147, 547, 519, 15455, 543, 2713, 3448, 540, 519, 15455, 630, 22261, 864, 330, 267, 476, 1960, 273, 1040, 1280, 6634, 540, 1296, 621, 568, 5156, 602, 891, 7103, 723, 2760, 4957, 922, 19916, 269, 0, 32417, 689, 16816, 13240, 2593, 454, 763, 10072, 540, 1558, 27957, 15033, 853, 20942, 19905, 28857, 630, 17307, 6347, 264, 689, 6705, 3366, 547, 519, 6284, 540, 513, 1990, 3019, 5328, 19182, 6347, 22871, 630, 4306, 4375, 279, 264, 538, 14918, 538, 2342, 543, 11992, 630, 298, 327, 13860, 543, 1866, 476, 1220, 279, 267, 3864, 5253, 8881, 16958, 630, 9128, 6347, 264, 476, 1220, 280, 1040, 10765, 2090, 7000, 602, 5254, 280, 568, 519, 12880, 13184, 23938, 19182, 6347, 630, 6369, 5336, 305, 6347, 264, 8833, 538, 3624, 630, 290, 14241, 543, 1866, 476, 1220, 280, 267, 15050, 629, 817, 328, 543, 1866, 476, 1220, 280, 1916, 1103, 15173, 15158, 630, 295, 298, 1070, 6477, 8105, 814, 17379, 6825, 569, 267, 543, 519, 476, 2412, 6967, 11396, 267, 1142, 609, 1472, 476, 7785, 2831, 6854, 538, 4988, 9205, 23445, 267, 3132, 1472, 476, 6110, 14918, 829, 1554, 269, 27051, 476, 11152, 829, 1298, 540, 519, 476, 29121, 271, 14918, 1793, 4381, 1229, 3232, 538, 670, 298, 616, 16487, 676, 5721, 689, 1896, 2127, 540, 22163, 3624, 547, 513, 3844, 705, 16201, 597, 269, 5254, 280, 814, 1044, 4080, 689, 11396, 538, 7187, 3624, 630, 290, 14241, 543, 1866, 476, 1220, 280, 1070, 855, 1100, 1239, 616, 2139, 827, 519, 1826, 543, 4908, 540, 15829, 5336, 305, 6347, 538, 6477, 11396, 538, 7013, 3624, 267, 1141, 972, 616, 3875, 1360, 1804, 24284, 563, 1607, 1353, 11567, 31566, 3928, 543, 27537, 15829, 5336, 305, 6347, 676, 13418, 10386, 693, 1079, 1804, 8397, 14021, 11396, 538, 2871, 836, 323, 784, 630, 325, 1301, 476, 272, 267, 476, 10755, 5439, 282, 3484, 476, 273, 267, 476, 5611, 5439, 264, 543, 1079, 1507, 8397, 11396, 538, 670, 298, 630, 325, 1301, 476, 272, 267, 476, 1911, 5439, 282, 3484, 476, 273, 267, 476, 6344, 5439, 1040, 11485, 540, 3444, 9762, 8727, 1282, 3560, 543, 26718, 729, 12290, 538, 15829, 5336, 305, 6347, 24308, 14918, 563, 301, 29569, 2220, 11274, 630, 9558, 342, 11274, 282, 6481, 18514, 543, 16811, 264, 941, 6394, 689, 5111, 3160, 2338, 540, 649, 534, 619, 267, 1710, 29913, 543, 9960, 521, 3298, 693, 782, 11396, 630, 8368, 476, 272, 1040, 2311, 519, 670, 298, 11396, 1152, 267, 2947, 2825, 2220, 11274, 689, 3484, 986, 2812, 267, 1793, 25744, 267, 14918, 262, 6704, 1216, 11149, 543, 4600, 262, 25192, 2560 ]

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

[ 2356, 513, 3126, 540, 2621, 799, 1291, 547, 519, 1646, 540, 519, 2783, 543, 602, 267, 1247, 621, 568, 1419, 2404, 609, 2025, 2085, 267, 602, 7681, 3884, 1406, 2614, 547, 9594, 30169, 269, 1452, 1880, 2621, 4125, 1312, 519, 946, 543, 15059, 540, 519, 20162, 607, 1134, 607, 519, 2504, 543, 5826, 538, 519, 10549, 269, 634, 10549, 799, 616, 2500, 538, 616, 2356, 519, 3677, 2597, 24481, 10549, 971, 607, 519, 19704, 543, 25637, 269, 1452, 1683, 519, 5354, 540, 519, 31289, 950, 649, 616, 3257, 1022, 2597, 24481, 3635, 971, 607, 6972, 610, 4881, 563, 288, 628, 2280, 525, 945, 1685, 16625, 5163, 5751, 267, 971, 607, 4737, 532, 610, 17281, 267, 786, 1265, 602, 30169, 666, 849, 1020, 538, 519, 23969, 543, 13105, 2127, 563, 12867, 3494, 602, 513, 4719, 5057, 949, 849, 581, 3743, 585, 519, 1646, 855, 723, 711, 2943, 598, 13254, 1336, 513, 3095, 269, 2904, 723, 1336, 513, 2362, 9756, 538, 519, 1646, 540, 30169, 950, 513, 2385, 814, 519, 2783, 543, 513, 1126, 13604, 2919, 621, 563, 12867, 17695, 1125, 602, 513, 5444, 4857, 538, 519, 1032, 476, 1220, 271, 21560, 519, 2504, 540, 7510, 5268, 4944, 622, 267, 799, 29620, 519, 5250, 540, 7777, 12074, 538, 519, 10549, 269, 1358, 17695, 1125, 602, 713, 1880, 3114, 949, 2149, 519, 20162, 543, 941, 9415, 547, 1265, 602, 5111, 476, 2568, 260, 540, 2043, 945, 7985, 689, 30169, 798, 723, 7777, 12074, 538, 741, 10549, 267, 15738, 547, 519, 8446, 540, 713, 5444, 607, 513, 9594, 547, 30169, 563, 31714, 945, 7985, 689, 30169, 786, 849, 8858, 4887, 8467, 538, 1804, 4887, 2516, 267, 2523, 519, 22712, 878, 788, 6091, 269, 12824, 267, 2705, 267, 616, 711, 2386, 952, 621, 568, 519, 12263, 538, 519, 12597, 799, 3123, 519, 1367, 547, 6175, 741, 3635, 543, 4061, 4887, 4222, 610, 952, 621, 568, 519, 12263, 799, 3123, 519, 6175, 538, 4887, 4222, 269, 1358, 849, 17695, 1125, 602, 713, 8467, 267, 2523, 538, 519, 22712, 878, 788, 6091, 267, 949, 2392, 919, 519, 1646, 540, 14642, 572, 334, 12263, 543, 2965, 9594, 519, 23979, 540, 519, 10549, 269, 12824, 798, 917, 602, 519, 6793, 519, 4887, 2527, 267, 519, 1732, 2111, 519, 1560, 568, 2111, 547, 2149, 519, 10549, 563, 8448, 26715, 4128, 799, 949, 581, 3238, 538, 519, 1646, 540, 713, 2783, 1331, 2043, 945, 616, 968, 11312, 682, 13949, 892, 610, 968, 30893, 1442, 9054, 539, 6100, 12824, 723, 1336, 602, 891, 2043, 616, 811, 2693, 547, 1020, 10728, 1055, 547, 12263, 538, 741, 19704, 1247, 824, 11001, 814, 1336, 602, 2043, 4535, 609, 3026, 1407, 945, 1810, 1406, 2743, 12347, 723, 20162, 602, 3884, 1406, 4646, 7157, 269, 901, 19753, 5099, 873, 547, 519, 5957, 543, 15237, 2404, 609, 30169, 563, 17780, 593, 713, 3105, 1382, 7189, 849, 917, 602, 7063, 1404, 513, 1804, 851, 538, 519, 2242, 602, 2049, 538, 1804, 10549, 799, 1291, 547, 27777, 24763, 269, 15706, 945, 723, 12597, 7063, 2038, 538, 1272, 723, 3254, 513, 476, 1626, 260, 811, 10171, 547, 1020, 12263, 538, 519, 4299, 12597, 982, 1346, 945, 1185, 1100, 5945, 269, 4033, 2564, 2175, 799, 814, 1044, 1336, 547, 1404, 513, 851, 1646, 540, 713, 2783, 568, 8280, 17232, 807, 267, 1282, 799, 2043, 723, 519, 1761, 547, 1291, 883, 519, 10549, 543, 3441, 519, 20162, 267, 610, 2043, 609, 5312, 30456, 610, 15554, 690, 719, 945, 723, 7777, 12074, 538, 519, 10549, 689, 519, 14848, 269, 10251, 2043, 945, 2907, 7985, 689, 27131, 12263, 666, 849, 1397, 519, 14124, 2360, 540, 27777, 24763, 1317, 540, 519, 12982, 2242, 3361, 547, 519, 20162, 563, 7212, 3173, 543, 13500, 723, 711, 4628, 2697, 519, 3123, 540, 30169, 789, 723, 4857, 12153, 543, 19753, 19397, 2175, 799, 666, 581, 9619, 538, 1931, 547, 5732, 8488, 519, 12614, 610, 3247, 519, 1646, 540, 713, 11213, 2068, 563, 300, 20667, 14986, 4173, 2125, 568, 1141, 649, 4363, 596, 6718, 782, 540, 707, 5214, 267, 3552, 18705, 13557, 11922, 267, 14546, 267, 29225, 543, 6986, 267, 16955, 1898, 11041, 2336, 25898, 596, 899, 547, 1451, 519, 7067, 1148, 540, 589, 668, 7752, 2805, 267, 7822, 14727, 15009, 531, 10657, 610, 4676, 2716, 1108, 286, 28161, 606, 589, 668, 7752, 2805, 31943, 518, 267, 7822, 267, 32423, 31943, 518, 267, 610, 513, 19995, 540, 4676, 2716, 1108, 998, 519, 13995, 1753, 1353, 543, 3845, 19543, 6030, 693, 20010, 23046, 9142, 2336, 9596, 811, 827, 2473, 339, 754, 21509, 1107, 5843, 9539, 583, 3234, 757, 1107, 634, 16918, 540, 2067, 9360, 269, 11146, 1272, 267, 14970, 7043, 518, 2336, 2690, 2871, 5875, 3975, 267, 13229, 267, 476, 1911, 260, 7849, 4173, 4472, 3816, 12203, 2073, 5225, 3643, 7111, 3816, 12203, 454, 6701, 596, 3168, 585, 2298, 8324, 267, 2732, 11226, 543, 1072, 9360, 286, 16731, 519, 2657, 26929, 19255, 1107, 3810, 5227, 676, 19760, 295, 2336, 7312, 5131, 7300, 2657, 661, 1504, 1862, 3816, 12203, 275, 2593, 2336, 2252, 596, 10150, 713, 2022, 267, 1118, 2386, 596, 24049, 547, 1250, 681, 7704, 3049, 256, 0, 1428, 628, 540, 26836, 5633, 14626, 3660, 609, 4873, 476, 276, 628, 568, 1634, 607, 2622, 5113, 4303, 269, 901, 1032, 267, 519, 1554, 4386, 1247, 519, 2817, 30767, 6554, 568, 3056, 519, 2229, 12602, 563, 3682, 339, 1254, 540, 519, 5113, 267, 607, 16764, 779, 5539, 267, 3340, 1367, 543, 1895, 3646, 269, 21727, 532, 519, 1604, 568, 519, 10279, 540, 782, 1004, 269, 31471, 26663, 16589, 568, 519, 17082, 543, 2149, 528, 540, 519, 3618, 543, 1169, 13442, 540, 519, 3618, 543, 13140, 568, 9299, 2358, 16589, 269, 5274, 5630, 267, 519, 1608, 13023, 543, 13442, 540, 31471, 26663, 16589, 267, 568, 3743, 547, 2119, 585, 1646, 543, 4070, 540, 519, 3618, 563, 3682, 339, 1254, 540, 519, 1604, 568, 2808, 607, 835, 540, 519, 1034, 1713, 6927, 543, 849, 4145, 540, 519, 1480, 2146, 538, 519, 5736, 540, 2872, 543, 2029, 282, 32047, 267, 519, 5860, 538, 20651, 2694, 540, 519, 1158, 814, 2799, 519, 2042, 269, 6684, 267, 538, 938, 2197, 267, 6932, 543, 2810, 540, 2029, 543, 2810, 2551, 723, 7494, 8697, 519, 1604, 1247, 2919, 2477, 723, 3144, 2101, 3268, 547, 8190, 519, 1604, 269, 1809, 267, 19962, 547, 3875, 2591, 538, 938, 2197, 267, 519, 1966, 7930, 10301, 547, 922, 2629, 3942, 563, 291, 652, 2315, 540, 519, 1604, 538, 10053, 543, 20651, 2694, 540, 519, 1158, 27938, 519, 1272, 540, 519, 11317, 269, 16480, 267, 1082, 3646, 616, 1500, 538, 519, 1158, 547, 2149, 519, 1604, 267, 855, 519, 7264, 540, 519, 3618, 10093, 1406, 12913, 1018, 568, 2556, 547, 581, 2944, 563, 293, 6136, 267, 606, 5604, 1572, 7025, 10466, 10837, 814, 1044, 3964, 538, 15787, 799, 4769, 1406, 2291, 538, 5449, 6608, 609, 519, 1699, 2497, 543, 570, 3036, 338, 269, 769, 938, 2197, 267, 3527, 616, 1373, 3144, 547, 2149, 1604, 538, 19220, 540, 1585, 2591, 538, 713, 2543, 563, 27063, 540, 519, 1604, 23507, 519, 3618, 899, 513, 10516, 540, 31471, 26663, 16589, 538, 1931, 547, 3895, 1857, 4656, 585, 7863, 519, 1604, 267, 543, 547, 5000, 519, 1158, 547, 1832, 519, 3618, 2973, 543, 2061, 922, 9552, 543, 5533, 563, 16352, 713, 5133, 609, 2463, 547, 519, 1604, 6157, 3340, 547, 1689, 519, 1480, 779, 2623, 827, 519, 2470, 607, 1134, 607, 519, 1259, 547, 2661, 543, 17908, 519, 7068, 593, 519, 3618, 269, 12292, 593, 519, 3618, 3226, 5017, 616, 13344, 540, 31471, 26663, 16589, 799, 1058, 581, 6870, 538, 7156, 540, 519, 3909, 9753, 543, 4170, 540, 519, 1158, 563, 29936, 602, 649, 616, 6849, 3823, 1604, 616, 8537, 540, 17717, 538, 1114, 16899, 267, 2810, 2551, 538, 2462, 4872, 267, 4070, 540, 1875, 13807, 10165, 6306, 906, 543, 5656, 538, 799, 6042, 540, 1604, 723, 1044, 16053, 267, 7677, 2167, 267, 536, 6033, 625, 267, 856, 540, 4266, 17088, 6472, 267, 711, 11287, 519, 27194, 540, 2127, 1472, 519, 8075, 543, 865, 593, 269, 1452, 2042, 723, 12735, 4240, 938, 2197, 543, 1004, 799, 649, 991, 547, 1491, 2962, 1996, 543, 2061, 519, 5533, 540, 519, 1604, 547, 519, 1655, 540, 938, 2702, 563, 19013, 267, 2923, 616, 711, 18906, 633, 2614, 547, 3391, 267, 18663, 543, 3895, 519, 2528, 540, 1604, 4027, 269, 1306, 606, 1271, 2339, 585, 3025, 779, 1272, 543, 1072, 267, 519, 991, 547, 1604, 4027, 568, 5433, 811, 982, 1022, 824, 942, 563, 2005, 568, 12479, 602, 782, 4052, 3800, 547, 581, 8045, 1369, 519, 14232, 1296, 538, 1931, 547, 4481, 723, 513, 2635, 543, 561, 22133, 1604, 267, 543, 547, 1205, 7759, 540, 2713, 538, 10053, 543, 22125, 4872, 607, 1134, 607, 5838, 513, 28292, 543, 24526, 5108, 547, 519, 2197, 563, 3080, 540, 519, 14422, 540, 519, 2817, 30767, 6554, 568, 547, 581, 18906, 633, 547, 2149, 519, 1604, 269, 634, 2229, 568, 5462, 547, 960, 547, 519, 1655, 540, 2702, 538, 713, 2543, 607, 1604, 267, 899, 3354, 267, 568, 3810, 1271, 585, 519, 2197, 269, 1403, 2112, 543, 22584, 21279, 938, 1004, 267, 2825, 14784, 568, 2484, 5906, 543, 5739, 585, 938, 2729, 543, 15920, 7366, 540, 938, 11570, 547, 519, 10506, 543, 524, 655, 2678, 625, 593, 3232, 4493, 269, 0, 272, 7160, 540, 589, 1007, 543, 4824, 1686, 540, 519, 18326, 538, 8581, 538, 519, 1032, 476, 9692, 279, 1336, 538, 519, 17048, 563, 347, 8448, 10643, 1475, 9692, 279, 9721, 31052, 542, 14635, 630, 289, 10667, 5398, 7732, 1070, 9721, 3778, 543, 9177, 14635, 630, 289, 10667, 5398, 7732, 10245, 347, 13750, 618, 1475, 2421, 590, 11482, 269, 4856, 3419, 534, 2008, 347, 6944, 1026, 1903, 1475, 310, 12291, 267, 6276, 267, 17002, 267, 19468, 1399, 267, 14732, 717, 1421, 5449, 8227, 2008, 347, 9448, 4147, 5874, 1475, 6395, 280, 5392, 1547, 290, 6924, 476, 7277, 271, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 12858, 267, 476, 6642, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 6642, 2008, 2304, 11137, 540, 519, 31052, 542, 7338, 623, 2586, 5069, 5283, 617, 1090, 5597, 3964, 519, 2796, 540, 519, 4279, 9721, 31052, 542, 538, 9721, 3778, 267, 538, 519, 840, 2183, 547, 1010, 1433, 267, 634, 5729, 540, 23068, 834, 763, 18326, 540, 568, 519, 1034, 10795, 543, 13249, 2680, 538, 9721, 1686, 1063, 519, 15243, 924, 10617, 543, 519, 4279, 5482, 710, 269, 634, 11135, 540, 966, 710, 3258, 10830, 630, 296, 16194, 281, 6869, 932, 333, 665, 674, 327, 6403, 617, 327, 14255, 575, 25519, 528, 1070, 729, 606, 6278, 1282, 519, 9721, 31052, 542, 540, 593, 476, 2641, 4873, 950, 522, 3703, 7980, 9250, 606, 4323, 593, 966, 710, 3258, 10830, 3544, 2037, 333, 4593, 20564, 267, 6019, 1284, 343, 5112, 267, 519, 4102, 3786, 543, 22071, 540, 519, 1284, 343, 5112, 2136, 6825, 513, 7432, 1448, 538, 519, 18326, 267, 607, 621, 729, 519, 2063, 3801, 676, 19715, 281, 476, 7367, 4113, 1789, 12664, 4962, 16357, 301, 476, 277, 4113, 4097, 12664, 1556, 16357, 310, 1315, 11019, 301, 4586, 1103, 634, 5729, 540, 519, 3943, 7338, 4469, 534, 12298, 647, 12923, 538, 4758, 513, 1514, 25135, 14653, 540, 519, 942, 543, 2982, 519, 18326, 689, 1082, 18312, 543, 15852, 2798, 540, 2070, 269, 634, 1433, 568, 13085, 569, 2854, 543, 513, 1390, 9740, 6236, 901, 729, 606, 5863, 1433, 543, 3460, 998, 513, 3184, 540, 9721, 1686, 602, 568, 7361, 16618, 270, 276, 269, 634, 29547, 634, 5980, 540, 2136, 9721, 5443, 729, 8547, 538, 645, 1409, 770, 538, 4706, 6667, 729, 513, 1762, 25212, 15818, 267, 634, 2128, 323, 16423, 324, 570, 821, 267, 945, 729, 14376, 547, 21853, 3122, 1310, 13629, 513, 30732, 2280, 13886, 834, 2304, 4661, 593, 15773, 540, 519, 23597, 540, 8581, 2668, 8832, 3465, 2421, 614, 2103, 849, 11124, 689, 3909, 7130, 267, 1498, 1447, 16094, 267, 543, 1185, 12842, 14081, 534, 4586, 19853, 26481, 18326, 540, 2073, 2705, 267, 8507, 538, 519, 2920, 540, 5742, 267, 799, 4547, 8581, 512, 7660, 1869, 896, 3703, 1852, 269, 7905, 1547, 9721, 31052, 542, 2904, 3367, 2630, 585, 606, 1349, 689, 519, 282, 834, 289, 1409, 770, 5240, 12072, 11016, 267, 6902, 8525, 281, 476, 273, 269, 8281, 519, 2407, 2985, 543, 1205, 519, 3377, 607, 621, 729, 4080, 538, 634, 1739, 12971, 2316, 4753, 729, 7856, 538, 25212, 593, 519, 476, 2190, 628, 2904, 563, 288, 3803, 2930, 1867, 13886, 1098, 2000, 3133, 541, 3146 ]

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

[ 513, 13849, 20400, 269, 27096, 673, 7070, 476, 1001, 280, 282, 2412, 281, 14321, 278, 1700, 4510, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 1911, 7761, 268, 25171, 268, 271, 4343, 4649, 14870, 454, 288, 7079, 328, 595, 269, 3525, 328, 267, 962, 601, 6511, 623, 269, 18961, 267, 9478, 681, 269, 1696, 620, 269, 4165, 773, 335, 850, 10364, 3075, 1875, 611, 11447, 25221, 12963, 20560, 23069, 4093, 269, 27096, 344, 269, 476, 1001, 275, 8734, 476, 1839, 282, 476, 10695, 263, 2420, 2567, 476, 21172, 276, 4534, 3445, 269, 2710, 328, 281, 1015, 269, 13199, 273, 270, 310, 301, 299, 269, 1822, 1822, 1822, 1822, 9083, 274, 10422, 10157, 2839, 281, 6751, 290, 275, 2190, 279, 4510, 563, 291, 2607, 10220, 540, 1453, 543, 10708, 609, 20560, 269, 2704, 328, 13019, 8663, 1306, 14508, 6261, 334, 30377, 1744, 4275, 345, 2160, 540, 6481, 7070, 267, 4972, 540, 27435, 267, 715, 655, 1794, 2465, 11233, 267, 4537, 4275, 345, 267, 674, 1513, 476, 278, 866, 4391, 268, 13647, 7906, 267, 9459, 563, 2704, 13206, 4472, 320, 589, 267, 1325, 26588, 604, 320, 589, 267, 1325, 544, 889, 1046, 589, 267, 670, 674, 3430, 537, 3873, 267, 8621, 2763, 327, 322, 717, 267, 918, 752, 1690, 20660, 589, 269, 11485, 2188, 2404, 609, 20560, 538, 1453, 543, 10708, 281, 589, 2013, 20820, 1353, 689, 16850, 9950, 335, 17952, 1299, 10263, 476, 1708, 271, 282, 13040, 6795, 277, 269, 8222, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 6614, 2041, 327, 269, 1708, 271, 269, 13040, 6795, 277, 563, 298, 9926, 7315, 13960, 7641, 267, 11809, 559, 2088, 9399, 267, 12379, 30987, 752, 13960, 30263, 267, 14642, 760, 13960, 918, 309, 267, 15718, 341, 1794, 12505, 14298, 267, 2398, 640, 14150, 17985, 269, 19043, 540, 608, 727, 15971, 585, 5868, 540, 20560, 538, 1453, 269, 9210, 850, 1186, 807, 1775, 1612, 758, 338, 714, 7356, 390, 373, 5500, 324, 521, 739, 15351, 807, 1315, 9210, 17952, 543, 3474, 2135, 903, 7356, 17148, 476, 1001, 280, 282, 1556, 263, 275, 2567, 4391, 280, 268, 9262, 563, 32292, 599, 3999, 641, 9567, 657, 8713, 269, 634, 9210, 850, 1186, 625, 281, 1530, 714, 999, 267, 5204, 526, 27689, 543, 5004, 269, 10228, 28790, 630, 20084, 2567, 2349, 611, 517, 6481, 14539, 282, 476, 1220, 276, 269, 3848, 476, 277, 267, 594, 10972, 24403, 9210, 850, 10364, 1530, 714, 999, 543, 5204, 526, 27689, 538, 5606, 3599, 269, 12232, 689, 281, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 9248, 21610, 289, 298, 18605, 271, 13045, 301, 15625, 22995, 267, 11875, 28086, 808, 295, 269, 21023, 832, 540, 20560, 538, 1453, 945, 723, 4810, 27095, 686, 548, 17465, 269, 715, 1621, 331, 808, 2405, 269, 476, 3192, 277, 282, 27768, 281, 9083, 280, 1700, 3451, 563, 293, 4157, 8500, 4821, 962, 267, 1530, 7288, 570, 267, 7937, 1206, 26854, 595, 267, 21007, 3120, 670, 267, 4498, 320, 631, 269, 19750, 4808, 585, 13500, 538, 519, 2359, 540, 27095, 686, 548, 17465, 269, 11020, 3763, 269, 476, 1960, 277, 282, 1240, 281, 5325, 280, 1700, 10019, 563, 300, 527, 23025, 654, 294, 269, 21073, 3134, 850, 10364, 639, 543, 8650, 16625, 17465, 538, 1453, 267, 10708, 267, 543, 1762, 4079, 281, 1696, 5735, 267, 6364, 267, 543, 2126, 269, 9210, 850, 1186, 807, 269, 476, 1960, 277, 282, 4391, 263, 11045, 331, 476, 272, 2567, 306, 10619, 1700, 306, 3199, 563, 2026, 724, 541, 10790, 267, 1234, 327, 2006, 21191, 267, 681, 18054, 16066, 267, 631, 636, 339, 1794, 715, 267, 1306, 724, 541, 10790, 267, 1744, 2378, 28999, 962, 267, 1696, 620, 269, 3465, 5524, 4806, 540, 1884, 773, 335, 850, 10364, 5061, 538, 7013, 9031, 281, 513, 24794, 8826, 20165, 1353, 538, 24596, 1416, 18013, 269, 674, 2752, 300, 3722, 8656, 476, 1001, 280, 282, 6858, 263, 277, 2567, 11820, 272, 268, 279, 269, 8222, 3820, 270, 1015, 269, 29204, 1839, 11721, 29108, 807, 269, 1001, 280, 269, 277, 269, 2537, 563, 290, 516, 22609, 4149, 528, 2692, 717, 267, 19839, 8291, 4211, 331, 2946, 618, 570, 267, 2405, 1177, 541, 661, 267, 4569, 24586, 674, 267, 21546, 19836, 267, 670, 659, 1335, 700, 267, 1696, 620, 269, 10495, 543, 2126, 540, 6689, 20560, 538, 27425, 269, 9210, 850, 1186, 807, 7046, 476, 1708, 271, 282, 276, 281, 5002, 268, 278, 269, 20396, 281, 476, 1015, 269, 1911, 273, 270, 788, 328, 275, 269, 11277, 10019, 454, 300, 342, 760, 641, 334, 661, 292, 267, 13019, 1002, 541, 590, 267, 27684, 623, 267, 2098, 29697, 667, 269, 28483, 543, 4791, 18572, 540, 17465, 538, 32509, 1453, 269, 7754, 3979, 6481, 4750, 269, 476, 1001, 277, 282, 2190, 281, 27123, 269, 8222, 281, 1015, 269, 14138, 6860, 9706, 600, 329, 269, 1001, 277, 269, 2190, 269, 27123, 269, 280, 2767, 276, 454, 310, 8932, 589, 267, 10609, 19981, 661, 267, 16679, 670, 267, 715, 553, 597, 589, 267, 19869, 31608, 6004, 269, 28582, 1537, 3270, 543, 21904, 693, 513, 2582, 11671, 31850, 5735, 4741, 538, 2372, 24297, 267, 9031, 281, 1323, 20894, 540, 476, 8182, 271, 27418, 269, 623, 297, 10064, 476, 1708, 271, 282, 1428, 263, 274, 2567, 1704, 268, 2641, 269, 4179, 2517, 324, 5570, 976, 269, 27495, 12975, 9706, 329, 985, 270, 14179, 1428, 270, 1170, 274, 270, 275, 563, 4692, 13960, 595, 267, 23160, 341, 580, 26856, 808, 267, 2549, 728, 25553, 267, 2098, 534, 1512, 700, 267, 2098, 532, 821, 674, 269, 634, 1981, 540, 20560, 538, 1453, 609, 524, 27112, 2068, 281, 513, 2551, 2861, 20165, 1353, 269, 3864, 4750, 540, 27096, 344, 476, 1708, 271, 267, 476, 2767, 281, 476, 10482, 280, 1700, 4817, 269, 8222, 281, 1015, 269, 9340, 272, 270, 2940, 269, 15221, 2568, 563, 15648, 630, 322, 264, 476, 1708, 272, 9031, 4750, 540, 25665, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 563, 303, 8140, 4750, 540, 25665, 267, 623, 752, 808, 4284, 2723, 267, 623, 297, 303, 568, 17676, 585, 1382, 543, 4081, 5301, 269, 898, 666, 581, 22434, 543, 6740, 267, 9102, 267, 11855, 543, 20926, 609, 2407, 4704, 540, 267, 543, 11760, 618, 547, 519, 623, 297, 303, 269, 0, 2710, 3556, 10904, 5957, 3109, 888, 14367, 3339, 2914, 792, 22101, 1442, 568, 3109, 855, 814, 25243, 10398, 532, 543, 513, 25243, 3673, 807, 630, 338, 1662, 1040, 12769, 31531, 267, 513, 29039, 31273, 513, 25243, 7542, 571, 2723, 334, 799, 568, 513, 1309, 701, 12816, 936, 519, 17525, 267, 13615, 693, 519, 8405, 538, 513, 6367, 676, 7522, 17446, 540, 12308, 538, 519, 4395, 267, 1510, 1022, 2048, 339, 3234, 685, 610, 10398, 532, 593, 621, 563, 3963, 798, 3556, 10904, 5957, 1114, 4778, 888, 763, 3556, 10904, 5957, 2699, 1317, 789, 616, 2808, 519, 14191, 9666, 619, 547, 519, 28831, 543, 4061, 1058, 581, 4712, 547, 8774, 741, 1973, 585, 519, 5939, 543, 2441, 269, 2560, 5682, 281, 634, 9949, 2681, 585, 22514, 906, 8204, 4126, 540, 2441, 779, 24446, 269, 9791, 281, 13507, 540, 519, 7910, 6307, 269, 15394, 12816, 593, 6307, 779, 3171, 770, 1554, 563, 31549, 972, 2479, 1044, 513, 3109, 29039, 538, 519, 7826, 5783, 888, 17442, 675, 534, 681, 1872, 3711, 11445, 630, 20809, 476, 1321, 267, 476, 4489, 273, 1107, 5412, 476, 279, 267, 476, 1960, 278, 264, 729, 519, 1101, 2413, 5065, 3979, 9315, 1400, 540, 519, 7826, 5783, 269, 1261, 6039, 607, 5246, 29989, 540, 11023, 1965, 6428, 320, 600, 689, 476, 3422, 279, 547, 476, 1960, 273, 267, 543, 729, 11506, 547, 519, 29039, 622, 538, 476, 3422, 271, 563, 3963, 798, 4936, 7826, 20577, 5957, 3109, 888, 1103, 7507, 267, 4936, 268, 1679, 7826, 23464, 616, 15868, 547, 5957, 3109, 267, 15454, 267, 543, 4544, 804, 518, 673, 695, 16630, 267, 1247, 538, 1034, 2477, 789, 616, 15868, 547, 5957, 1152, 3109, 267, 3833, 2693, 1317, 540, 1279, 29280, 2688, 543, 547, 10646, 873, 689, 1875, 4211, 987, 4301, 23464, 269, 901, 10039, 547, 519, 5824, 23464, 1152, 563, 1432, 4778, 2099, 519, 7826, 5783, 888, 299, 527, 17790, 2051, 2293, 538, 4936, 30871, 454, 268, 6519, 610, 4154, 585, 8285, 543, 14914, 630, 1492, 4332, 543, 24446, 1916, 268, 31947, 1282, 13491, 543, 30766, 855, 11909, 593, 519, 476, 274, 6113, 10732, 540, 13491, 543, 593, 5487, 564, 732, 10732, 267, 799, 568, 1318, 1354, 26054, 10732, 630, 604, 594, 3314, 7157, 1040, 6693, 268, 4414, 593, 519, 905, 6814, 540, 12004, 344, 3464, 630, 984, 16227, 267, 2699, 815, 1973, 1916, 1432, 2681, 798, 20577, 5957, 593, 14914, 888, 5475, 14914, 568, 936, 267, 20577, 2253, 9849, 3039, 22514, 906, 269, 5682, 4564, 519, 4126, 540, 2441, 779, 24446, 543, 18163, 1272, 269, 31035, 689, 519, 6654, 630, 325, 820, 6371, 585, 707, 1920, 779, 14914, 30504, 1070, 713, 1713, 27280, 666, 3262, 2027, 9702, 22619, 902, 538, 811, 2081, 982, 835, 563, 1432, 568, 519, 3017, 1063, 606, 2895, 29989, 543, 513, 29039, 888, 25205, 1400, 281, 2561, 31212, 676, 519, 28831, 267, 476, 9965, 3556, 10904, 5001, 267, 1519, 476, 1724, 538, 519, 772, 2529, 1421, 1118, 909, 519, 5441, 540, 9315, 10904, 269, 1306, 513, 1560, 267, 621, 1443, 2478, 519, 28831, 543, 267, 593, 1010, 2669, 267, 1528, 338, 513, 1007, 28831, 269, 5246, 29989, 281, 1323, 2895, 29989, 568, 513, 24649, 540, 513, 1292, 610, 23195, 1019, 665, 3150, 267, 849, 1572, 606, 2895, 10972, 665, 3150, 563, 8005, 729, 519, 1101, 3109, 28831, 540, 519, 7826, 5783, 888, 303, 2100, 8841, 594, 454, 19064, 2100, 12142, 8841, 594, 2008, 21270, 1941, 1475, 15900, 476, 273, 526, 11416, 5084, 4000, 1160, 4621, 592, 732, 2008, 8005, 729, 519, 1101, 3109, 1977, 23920, 888, 20606, 639, 24729, 2023, 630, 19688, 476, 272, 267, 476, 6977, 275, 1107, 5147, 476, 280, 267, 476, 6245, 278, 1070, 19071, 1242, 27596, 24729, 2023, 267, 729, 519, 1101, 4936, 7826, 17308, 538, 519, 2136, 2276, 15597, 1634, 547, 581, 3109, 950, 646, 729, 3921, 7134, 538, 476, 6642, 277, 563, 347, 309, 10273, 762, 31217, 24729, 2023, 2008, 347, 309, 10273, 730, 538, 1475, 290, 987, 4301, 5783, 2008, 24078, 972, 2479, 513, 3109, 28831, 888, 5591, 267, 621, 729, 1454, 811, 3309, 982, 596, 1522, 1589, 2223, 16026, 1767, 269, 5047, 267, 5198, 607, 649, 1589, 540, 621, 2221, 1705, 711, 723, 3833, 519, 1482, 2495, 1394, 1287, 269, 968, 2691, 596, 2161, 685, 18872, 28831, 16224, 596, 723, 547, 1589, 4936, 7276, 267, 711, 3979, 12677, 2223, 607, 13852, 527, 1729, 2322, 621, 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 ]

[ 1377, 540, 2866, 543, 1995, 786, 723, 606, 1764, 593, 707, 14057, 267, 607, 786, 519, 9872, 4433, 264, 799, 596, 960, 585, 269, 8549, 7936, 2564, 3915, 619, 543, 13798, 619, 4043, 547, 581, 519, 5207, 1274, 2996, 269, 8409, 945, 4196, 30229, 7740, 543, 13500, 685, 13646, 4043, 547, 1118, 519, 2547, 2179, 540, 2724, 563, 4407, 596, 666, 581, 513, 2489, 2564, 3915, 518, 610, 13798, 518, 267, 596, 666, 849, 3442, 547, 723, 513, 29286, 538, 1931, 547, 1118, 811, 2724, 267, 1454, 607, 513, 10629, 1522, 3442, 547, 798, 269, 1403, 585, 1383, 596, 3442, 547, 20647, 538, 513, 4101, 2361, 899, 5778, 17595, 17226, 267, 596, 949, 581, 2111, 547, 7118, 811, 2724, 982, 513, 20902, 13798, 518, 610, 3915, 518, 269, 1411, 666, 960, 538, 606, 5604, 610, 596, 666, 960, 689, 1753, 269, 4518, 693, 1753, 2564, 3915, 619, 543, 13798, 619, 666, 1118, 9170, 689, 1269, 1015, 269, 876, 547, 1269, 1839, 269, 876, 606, 5662, 563, 21357, 536, 3739, 543, 8193, 3292, 616, 2139, 693, 12621, 267, 4123, 3506, 267, 543, 2228, 9945, 269, 1411, 3580, 1616, 547, 1118, 2386, 782, 519, 3292, 596, 616, 6236, 616, 26886, 269, 6787, 596, 3442, 547, 7390, 2564, 536, 3739, 543, 8193, 5049, 538, 1268, 610, 2228, 568, 7357, 513, 2339, 540, 1018, 1568, 1655, 585, 707, 8430, 543, 1018, 2186, 540, 2883, 2200, 616, 2139, 547, 596, 269, 1403, 596, 1810, 1406, 723, 513, 2603, 540, 942, 610, 2724, 267, 2228, 2866, 949, 581, 1655, 269, 19227, 596, 1522, 4324, 689, 519, 3606, 3946, 6823, 1995, 543, 3068, 547, 3068, 5872, 799, 596, 1205, 689, 513, 4928, 1604, 563, 2662, 7241, 1826, 540, 1153, 596, 3442, 547, 7390, 267, 596, 1058, 1413, 585, 513, 1982, 799, 6227, 3388, 596, 991, 547, 917, 827, 2564, 536, 3739, 610, 8193, 269, 6481, 8193, 1153, 1058, 4001, 596, 827, 2564, 16166, 267, 14169, 543, 17550, 267, 543, 875, 547, 14377, 602, 1344, 883, 1697, 2564, 9479, 269, 6481, 536, 3739, 3292, 1058, 1331, 3102, 1344, 593, 2564, 6142, 267, 2229, 3782, 3292, 267, 1072, 6142, 3409, 3029, 267, 2564, 12319, 267, 543, 1239, 7127, 563, 288, 2603, 540, 3506, 2709, 22631, 4721, 607, 851, 540, 741, 6437, 267, 799, 666, 581, 513, 1390, 1259, 547, 1205, 707, 3952, 6632, 543, 1205, 930, 3946, 6823, 1995, 269, 1323, 22631, 1222, 949, 581, 2111, 547, 7914, 1376, 707, 4876, 267, 1932, 282, 513, 2603, 540, 2053, 596, 666, 3274, 5912, 689, 2028, 547, 2407, 6066, 9441, 1310, 707, 2866, 568, 2347, 269, 4634, 952, 713, 3884, 1406, 2009, 267, 519, 2816, 1995, 786, 1413, 1390, 593, 707, 16056, 267, 543, 949, 948, 596, 538, 707, 2816, 3406, 1310, 707, 2069, 568, 2347, 269, 1323, 22631, 1222, 949, 849, 22937, 596, 519, 6015, 596, 991, 547, 8011, 950, 596, 4283, 519, 13781, 585, 1483, 563, 21357, 536, 3739, 543, 8193, 616, 1079, 7123, 22825, 799, 616, 543, 786, 2141, 581, 2556, 269, 3807, 607, 13500, 786, 2141, 723, 2550, 17596, 3782, 267, 3782, 7426, 786, 2141, 991, 547, 581, 2111, 547, 5968, 543, 1205, 6976, 269, 4595, 3782, 7426, 1810, 1406, 723, 519, 942, 610, 519, 2200, 547, 798, 782, 713, 593, 741, 1378, 267, 789, 786, 2141, 723, 547, 16926, 9952, 2564, 3915, 619, 543, 13798, 619, 945, 666, 1118, 741, 2729, 4443, 269, 5741, 687, 676, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 264, 1533, 602, 519, 7694, 540, 2564, 3915, 619, 543, 13798, 619, 543, 2404, 22825, 568, 4397, 547, 2333, 676, 476, 736, 260, 676, 476, 1001, 279, 269, 1215, 1082, 824, 22825, 798, 596, 917, 540, 799, 616, 2810, 538, 3747, 891, 2395, 888, 7628, 519, 21748, 621, 814, 1831, 9875, 982, 2479, 547, 1205, 513, 22510, 2816, 269, 6481, 536, 3739, 543, 8193, 6009, 2709, 596, 6617, 543, 8112, 282, 519, 960, 693, 1753, 4316, 799, 536, 3739, 543, 8193, 2488, 568, 1390, 585, 1004, 945, 3180, 824, 851, 942, 6009, 267, 1616, 547, 3251, 693, 1753, 609, 741, 3214, 267, 610, 1175, 1616, 547, 2972, 513, 960, 693, 1753, 6197, 563, 6701, 596, 3168, 585, 2298, 8808, 3506, 538, 8419, 286, 6333, 2405, 27700, 4659, 269, 3776, 13464, 538, 2107, 1633, 334, 267, 8419, 267, 3091, 3292, 602, 666, 948, 596, 5721, 547, 581, 513, 2564, 13930, 267, 2564, 536, 3739, 543, 8193, 11285, 267, 610, 1353, 4052, 8808, 538, 513, 11215, 3872, 1604, 563, 268, 6481, 645, 3739, 543, 32017, 910, 24547, 5448, 454, 4263, 962, 2316, 19396, 4659, 267, 649, 616, 707, 581, 13154, 1765, 1962, 697, 2287, 707, 2104, 19773, 543, 8654, 707, 2619, 547, 513, 14785, 4876, 269, 1306, 513, 962, 2316, 2875, 267, 596, 3580, 2972, 2947, 5383, 912, 272, 269, 12752, 21524, 601, 539, 2866, 538, 570, 10232, 543, 14502, 267, 23675, 267, 6355, 267, 6481, 267, 26943, 2435, 8551, 610, 22518, 10456, 563, 273, 269, 24665, 730, 3292, 596, 666, 2347, 538, 607, 1906, 607, 476, 280, 3275, 563, 274, 269, 2037, 1120, 1242, 267, 2875, 19721, 12200, 945, 1683, 10531, 6044, 563, 275, 269, 11038, 22707, 6351, 585, 1346, 945, 20618, 563, 276, 269, 19396, 7896, 6351, 998, 707, 19396, 7896, 28154, 563, 268, 6481, 645, 3739, 1299, 32017, 910, 24547, 5448, 454, 10702, 707, 2069, 693, 681, 11047, 1380, 523, 5441, 269, 16521, 689, 5722, 3506, 540, 1353, 1519, 3292, 538, 1870, 267, 8808, 267, 2029, 267, 543, 811, 269, 1411, 1223, 7118, 707, 20277, 779, 4110, 538, 607, 2370, 607, 476, 1240, 3275, 543, 948, 4434, 707, 4876, 998, 938, 24665, 520, 3633, 1982, 563, 268, 6481, 645, 3739, 543, 32017, 25890, 454, 268, 2657, 6176, 5004, 25328, 781, 454, 268, 6481, 15928, 645, 3739, 543, 8433, 10029, 454, 4263, 772, 292, 296, 5441, 267, 649, 1616, 596, 547, 8011, 269, 1284, 2461, 899, 513, 1920, 543, 649, 1616, 596, 547, 581, 513, 851, 540, 621, 269, 3245, 519, 4090, 596, 4283, 23600, 1041, 267, 547, 22692, 543, 3564, 267, 649, 616, 1318, 972, 609, 596, 563, 268, 6481, 645, 3739, 1299, 15928, 32017, 630, 279, 5336, 517, 628, 24547, 5448, 5358, 994, 4263, 1977, 4659, 267, 649, 3494, 596, 666, 1831, 8726, 596, 1616, 547, 581, 267, 543, 649, 2461, 4712, 547, 948, 596, 1205, 972, 269, 1284, 11348, 6000, 593, 2324, 2182, 547, 5838, 2298, 267, 5499, 2069, 547, 938, 1053, 602, 3947, 873, 519, 1983, 547, 2253, 610, 3986, 741, 11678, 269, 1284, 2119, 547, 948, 938, 1053, 2743, 741, 3853, 540, 4657, 610, 7393, 741, 11678, 267, 543, 849, 948, 17053, 12820, 540, 938, 20021, 538, 5870, 519, 13781, 2115, 540, 519, 476, 2641, 560, 2540, 1247, 8362, 10283, 538, 519, 2950, 649, 7500, 1369, 563, 268, 6481, 32017, 543, 645, 3739, 454, 13563, 19396, 5441, 630, 3722, 290, 264, 3091, 3946, 6823, 2866, 602, 786, 5965, 1053, 585, 11678, 538, 519, 3782, 2872, 693, 1614, 3786, 4926, 538, 11968, 13353, 267, 14411, 267, 543, 21060, 6019, 267, 4993, 269, 589, 6717, 781, 3292, 9192, 4928, 15872, 543, 3946, 6823, 2866, 547, 5965, 1053, 585, 513, 24547, 5448, 610, 21133, 540, 27706, 3163, 4110, 563, 268, 6481, 645, 3739, 543, 32017, 454, 7476, 3946, 6823, 2866, 609, 15588, 1467, 5441, 269, 1284, 2709, 26885, 543, 4110, 3292, 538, 519, 2127, 540, 1072, 1416, 267, 1870, 267, 8808, 267, 7803, 5126, 267, 1612, 531, 20235, 267, 543, 2780, 3354, 269, 1284, 1174, 602, 2221, 781, 2875, 568, 11112, 609, 1082, 9021, 267, 865, 649, 2709, 1554, 267, 10543, 267, 543, 2228, 5049, 267, 4758, 596, 3681, 547, 3514, 1153, 883, 707, 8430, 563, 268, 24547, 5448, 910, 6481, 15928, 645, 3739, 1299, 32017, 454, 5978, 4876, 25700, 3292, 543, 8465, 1362, 16131, 1118, 590, 21750, 513, 1390, 3903, 585, 11112, 2324, 4079, 269, 9540, 5049, 2327, 10531, 3007, 585, 1142, 2875, 267, 543, 596, 786, 2744, 4876, 1983, 538, 606, 3872, 1604, 602, 1138, 12885, 519, 9036, 267, 865, 596, 666, 2253, 1210, 707, 2069, 5612, 593, 519, 2816, 563, 268, 24547, 5448, 538, 18329, 6481, 645, 3739, 543, 32017, 28154, 454, 26596, 808, 10394, 23936, 9503, 5441, 568, 606, 26886, 4357, 21738, 2852, 8149, 547, 519, 3318, 1967, 540, 922, 1053, 543, 20021, 563, 293, 15903, 538, 476, 3192, 278, 267, 590, 297, 31357, 814, 3786, 4926, 4092, 2429, 4993, 2987, 6984, 606, 6732, 6498, 543, 3091, 513, 3099, 540, 18965, 25890, 543, 21133, 540, 3163, 4110, 3292, 538, 519, 1870, 267, 2564, 543, 2930, 4610, 563, 268, 23422, 910, 6481, 8433, 454, 268, 25890, 910, 6481, 8433, 0, 1607, 834, 28350, 13541, 257, 9183, 568, 4742, 1447, 2484, 1922, 564, 3481, 607, 2487, 8441, 538, 7293, 1072, 5464, 1949, 723, 3366, 547, 513, 3099, 540, 2081, 547, 2697, 3441, 547, 513, 7293, 1062, 563, 3086, 267, 538, 519, 4750, 540, 11930, 8212, 267, 3173, 693, 14151, 3557, 2160, 723, 2813, 513, 1570, 602, 949, 581, 2111, 547, 711, 1152, 2631, 3441, 538, 7293, 2326, 267, 971, 607, 25305, 538, 513, 6775, 3146, 514, 1721, 1027, 12432, 267, 855, 547, 1256, 12115, 621, 269, 634, 2832, 540, 3384, 834, 2246, 26127, 13261, 3889, 257, 568, 547, 17932, 519, 2702, 540, 6211, 1949, 971, 607, 5642, 547, 2631, 519, 4527, 540, 3441, 267, 26699, 922, 11144, 267, 543, 16956, 4733, 3294, 563, 763, 3209, 14628, 1570, 2919, 676, 8361, 590, 617, 8457, 543, 9164, 3096, 834, 27729, 2173, 25514, 257, 22169, 609, 606, 11251, 6775, 19945, 6776, 3060, 602, 3252, 607, 1312, 519, 3441, 7020, 9300, 543, 8143, 17003, 6765, 1062, 547, 3132, 513, 3210, 602, 13147, 923, 519, 4359, 10444, 543, 7067, 7592, 3254, 538, 6211, 1949, 269, 1323, 18342, 8955, 18993, 1080, 1769, 998, 519, 6775, 19945, 6776, 1062, 547, 12725, 3002, 519, 1570, 267, 18398, 519, 27162, 515, 940, 543, 7067, 6127, 563, 763, 1570, 1062, 568, 5827, 540, 2810, 519, 32297, 540, 513, 19494, 676, 476, 1556, 2053, 269, 2991, 27162, 515, 940, 519, 19494, 267, 519, 11523, 666, 581, 6806, 1210, 519, 3337, 2173, 25514, 1198, 547, 9156, 606, 13778, 476, 9834, 2600, 540, 519, 1843, 781, 3312, 4222, 269, 769, 1249, 267, 1310, 519, 11523, 568, 6806, 267, 519, 1007, 1570, 568, 5176, 2947, 2053, 607, 9157, 607, 519, 3312, 19494, 267, 1256, 1498, 621, 814, 1044, 2269, 1441, 2250, 922, 3312, 5821, 8833, 1448, 676, 513, 3815, 540, 2185, 269, 634, 1570, 543, 7067, 1184, 666, 581, 4294, 1247, 519, 2497, 568, 538, 5106, 267, 799, 814, 711, 1044, 2009, 609, 4540, 7067, 2553, 563, 763, 2376, 267, 834, 8505, 26127, 10049, 609, 2552, 9776, 29110, 326, 515, 940, 543, 23046, 257, 676, 7812, 25661, 807, 267, 962, 597, 784, 6931, 267, 543, 8361, 19664, 334, 590, 617, 8457, 5526, 538, 519, 4750, 540, 11930, 8212, 269, 6423, 281, 5291, 2517, 15062, 18502, 760, 3820, 270, 15062, 10768, 777, 807, 340, 23218, 10482, 270, 328, 280, 9706, 6021, 274, 24423, 4882, 272, 454, 22711, 1235, 949, 7662, 513, 1863, 7300, 540, 713, 2376, 676, 32296, 4757, 11333, 2593, 454, 27237, 292, 281, 1323, 3239, 568, 2139, 585, 20859, 269, 7490, 3346, 18078, 17106, 11333, 3820, 454, 290, 4338, 3582, 281, 26365, 3239, 540, 513, 4496, 1449, 19494, 18460, 519, 8666, 268, 31516, 8022, 1505, 269, 5723, 27345, 808, 5495, 11748, 299, 5508, 6673, 12195, 296, 3633, 11682, 22076, 12903, 454, 297, 1783, 24198, 645, 31651, 1923, 1715, 1873, 1047, 3163, 5240, 454, 20458, 9979, 949, 2491, 875, 4881, 1216, 20077, 9370, 262, 2627, 2934, 454, 6349, 269, 1321, 269, 1001, 277, 1923, 24282, 3557, 454, 1432, 798, 28923, 267, 5616, 543, 19236, 1949, 723, 538, 1455, 888, 6349, 269, 1321, 269, 1001, 277, 1923, 2160, 540, 17842, 454, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256 ]

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

[ 11655, 723, 1032, 2740, 585, 513, 6198, 667, 2317, 1893, 6037, 1807, 563, 4407, 930, 2228, 2645, 3409, 547, 2709, 8144, 2533, 267, 621, 779, 1898, 547, 1935, 873, 609, 13657, 267, 607, 891, 16627, 1522, 711, 581, 4977, 610, 21705, 547, 519, 2707, 1570, 563, 763, 6946, 16082, 540, 4654, 538, 968, 291, 2317, 892, 2154, 513, 4514, 1620, 543, 2686, 2796, 547, 581, 8308, 12261, 269, 898, 779, 1732, 547, 7048, 593, 1134, 26455, 2959, 267, 971, 607, 7671, 29464, 2835, 2933, 563, 2252, 596, 2461, 513, 2462, 10178, 540, 667, 2317, 630, 528, 1175, 2968, 267, 7064, 547, 938, 2376, 264, 543, 1616, 547, 1865, 713, 14952, 748, 960, 540, 1148, 609, 824, 1004, 267, 1810, 1406, 3970, 3054, 1152, 547, 707, 1893, 563, 6944, 9009, 547, 667, 2317, 10209, 1132, 267, 24758, 1483, 8996, 4654, 4991, 1259, 4443, 950, 596, 946, 513, 5639, 6037, 1807, 689, 23849, 1723, 269, 1411, 666, 10004, 538, 1114, 4654, 267, 14377, 2592, 547, 1174, 4914, 9904, 267, 946, 1257, 547, 4633, 8144, 267, 543, 811, 563, 1103, 713, 2376, 267, 649, 12943, 519, 1739, 2243, 281, 968, 1432, 1893, 798, 789, 3717, 538, 667, 2317, 9495, 563, 2171, 849, 4121, 811, 827, 891, 2152, 281, 968, 6343, 1893, 798, 519, 674, 1069, 523, 3717, 5608, 968, 1432, 1893, 798, 519, 2311, 516, 1938, 3717, 9495, 543, 968, 3674, 519, 1893, 538, 667, 2317, 12428, 18313, 763, 16844, 540, 667, 2317, 19932, 454, 15463, 6975, 779, 21184, 6013, 538, 1010, 2702, 547, 4739, 513, 7122, 1141, 4529, 267, 4654, 267, 543, 9163, 616, 3309, 543, 15491, 563, 763, 3197, 538, 968, 291, 2317, 892, 2097, 689, 1114, 10080, 543, 10785, 267, 1142, 6340, 741, 1378, 4654, 267, 2417, 10771, 519, 5318, 1145, 543, 6988, 540, 519, 968, 291, 2317, 892, 7122, 563, 4407, 8895, 778, 5713, 607, 519, 1455, 11469, 585, 26300, 15362, 2792, 267, 1142, 4541, 543, 1249, 542, 6770, 922, 1378, 1893, 267, 4946, 3178, 543, 17381, 547, 519, 2239, 563, 2026, 968, 291, 2317, 476, 273, 892, 21040, 519, 7122, 1256, 2417, 267, 11655, 666, 18783, 513, 811, 6946, 13795, 540, 4654, 543, 4529, 267, 22805, 1927, 513, 4487, 995, 543, 15138, 1995, 563, 15371, 621, 779, 519, 28430, 6154, 5443, 1893, 267, 519, 5728, 633, 11469, 540, 519, 590, 731, 879, 22894, 267, 610, 519, 15626, 2311, 516, 1938, 685, 6561, 267, 968, 291, 2317, 892, 19595, 721, 540, 519, 1379, 543, 5898, 540, 1893, 538, 5935, 10600, 543, 10213, 9159, 2984, 563, 2026, 649, 24098, 811, 14624, 543, 2263, 519, 2479, 7721, 335, 21505, 7122, 540, 968, 291, 2317, 2223, 1577, 721, 10027, 880, 519, 10409, 11958, 4800, 602, 8591, 1776, 4494, 540, 11958, 4800, 547, 713, 11599, 1414, 30235, 20100, 563, 1103, 519, 2428, 9917, 961, 912, 2108, 291, 2317, 2223, 519, 12473, 2257, 5708, 3209, 676, 7671, 29464, 267, 2934, 513, 3309, 5044, 540, 4654, 602, 10802, 922, 5704, 2299, 16545, 7122, 269, 634, 1034, 4922, 9275, 1893, 568, 8895, 778, 267, 513, 8471, 11469, 6508, 689, 2296, 543, 23577, 545, 4654, 267, 7674, 607, 519, 1455, 1893, 585, 26300, 15362, 2792, 269, 634, 6154, 5443, 267, 5065, 547, 519, 9390, 4541, 1488, 21531, 529, 267, 723, 741, 1378, 1893, 609, 5072, 538, 12428, 267, 10452, 741, 2528, 543, 9620, 269, 2755, 12428, 7506, 616, 1459, 267, 968, 291, 2317, 892, 568, 711, 1759, 593, 5771, 267, 607, 519, 2278, 16668, 6667, 689, 1585, 1483, 8996, 4529, 543, 10764, 269, 3958, 267, 519, 5728, 633, 590, 731, 879, 22894, 7980, 723, 741, 1378, 12357, 1893, 267, 543, 972, 616, 8100, 547, 3504, 4654, 899, 968, 24874, 3047, 1848, 634, 6988, 540, 4654, 538, 968, 291, 2317, 892, 8309, 547, 922, 15138, 9423, 267, 1818, 621, 513, 11537, 5929, 585, 3988, 543, 13588, 7567, 563, 1432, 568, 519, 1034, 4922, 9275, 1893, 538, 968, 291, 2317, 2223, 543, 1018, 568, 922, 5169, 888, 763, 1034, 4922, 9275, 1893, 538, 968, 291, 2317, 892, 568, 8895, 778, 267, 1419, 5219, 547, 607, 519, 968, 21720, 11469, 892, 610, 968, 339, 8565, 1893, 1848, 898, 5713, 607, 513, 8059, 320, 21473, 8619, 585, 26300, 15362, 2792, 543, 2636, 2043, 689, 3309, 10785, 543, 4529, 547, 2170, 543, 4123, 269, 8895, 778, 12090, 689, 513, 3575, 540, 2296, 543, 1585, 23577, 545, 10209, 1132, 543, 814, 7960, 936, 519, 27453, 563, 1432, 1893, 798, 519, 6154, 5443, 1004, 3717, 267, 543, 875, 1281, 621, 2992, 741, 2528, 888, 763, 6154, 5443, 1004, 267, 5065, 547, 519, 9390, 4541, 1488, 21531, 529, 630, 291, 2317, 1070, 723, 741, 1378, 1893, 602, 6585, 1713, 2956, 538, 519, 1650, 1467, 269, 2755, 8895, 778, 568, 519, 1455, 1893, 267, 519, 6154, 5443, 1893, 568, 849, 7986, 267, 10452, 741, 9620, 267, 4978, 267, 543, 9390, 1259, 540, 1272, 269, 898, 1784, 1742, 689, 12428, 855, 814, 16866, 936, 519, 1296, 269, 634, 6154, 5443, 849, 946, 513, 14980, 1875, 8686, 5914, 1062, 540, 1688, 6786, 543, 17267, 1572, 519, 968, 327, 2863, 532, 1893, 892, 585, 15739, 564, 2792, 1282, 6968, 338, 543, 12959, 563, 3674, 972, 1022, 2963, 547, 1489, 519, 3409, 602, 3220, 269, 962, 826, 327, 538, 968, 291, 2317, 892, 14753, 13495, 18288, 888, 2467, 568, 513, 2442, 7242, 1851, 968, 291, 2317, 892, 12439, 602, 3220, 269, 654, 2454, 2023, 962, 826, 327, 267, 513, 7986, 1915, 538, 519, 3126, 267, 14753, 13495, 18288, 269, 1717, 267, 28138, 2959, 798, 711, 1489, 713, 3409, 267, 543, 972, 568, 1100, 2446, 540, 513, 1808, 667, 2317, 1893, 11603, 585, 3220, 269, 962, 826, 327, 269, 634, 1893, 9275, 676, 519, 1915, 3788, 1930, 547, 7664, 543, 25127, 1851, 11655, 269, 0, 8139, 11282, 2359, 538, 519, 2520, 617, 520, 15390, 1965, 686, 2930, 1957, 269, 4595, 519, 2520, 641, 549, 22422, 1907, 1568, 593, 1250, 2199, 2780, 267, 1775, 1131, 1589, 602, 519, 20327, 616, 21453, 269, 4239, 476, 5400, 267, 476, 736, 1620, 11282, 1949, 543, 20327, 585, 9095, 326, 529, 476, 272, 269, 8281, 519, 1592, 540, 6462, 13664, 543, 7299, 11282, 1949, 269, 4197, 4786, 20327, 568, 606, 1271, 2679, 3625, 950, 2324, 609, 543, 4259, 909, 1022, 13664, 1344, 1062, 575, 529, 269, 8382, 1883, 585, 3184, 2055, 538, 3478, 547, 917, 9095, 326, 529, 267, 476, 275, 628, 7160, 269, 6423, 811, 2093, 827, 7047, 2762, 267, 4786, 543, 2804, 4786, 269, 9257, 602, 3812, 519, 4786, 2601, 610, 1966, 585, 519, 4786, 6106, 3769, 538, 519, 4786, 4267, 786, 4268, 269, 20211, 16769, 267, 818, 764, 7614, 690, 267, 9095, 14090, 267, 818, 551, 944, 7901, 267, 9095, 7120, 267, 543, 818, 1027, 527, 616, 30931, 540, 2825, 269, 1403, 596, 616, 711, 2907, 29429, 538, 267, 596, 786, 581, 19430, 547, 21189, 1310, 596, 2824, 513, 3758, 547, 4647, 269, 5903, 540, 6462, 4786, 20327, 15276, 9095, 326, 529, 585, 18376, 563, 15430, 5034, 676, 14646, 11634, 2801, 742, 518, 15118, 23803, 575, 529, 2533, 267, 1651, 269, 1488, 9492, 777, 4786, 4786, 20327, 16467, 518, 927, 680, 626, 540, 9095, 326, 529, 3284, 529, 16298, 909, 1239, 538, 9095, 326, 529, 267, 5768, 15756, 12103, 615, 1965, 686, 2930, 1957, 269, 2060, 513, 15400, 6612, 585, 2870, 1620, 267, 530, 584, 2006, 814, 606, 3573, 1719, 538, 7851, 267, 7047, 2762, 267, 543, 1374, 267, 28285, 538, 1010, 5698, 609, 1965, 686, 547, 1711, 519, 4683, 2616, 2218, 267, 799, 3217, 5413, 540, 575, 529, 607, 606, 32687, 3760, 269, 4014, 519, 3618, 568, 1655, 6719, 676, 513, 838, 515, 5514, 267, 519, 3618, 568, 3006, 5701, 607, 513, 12106, 547, 1118, 6310, 9273, 4443, 563, 6701, 596, 1065, 549, 915, 532, 1239, 952, 865, 786, 596, 25117, 713, 610, 798, 621, 1169, 5503, 596, 15476, 1239, 269, 3143, 4786, 16879, 666, 8190, 5546, 540, 3677, 4525, 269, 589, 15810, 11282, 1062, 1759, 593, 513, 4786, 16879, 971, 607, 29529, 24271, 1807, 267, 620, 1499, 3160, 1858, 267, 610, 3775, 8657, 267, 782, 540, 799, 2059, 609, 3875, 824, 4786, 16879, 3631, 1683, 1585, 6127, 547, 1788, 7851, 540, 519, 1274, 2195, 20085, 2627, 5196, 513, 1000, 617, 7645, 7047, 14198, 11282, 7077, 269, 4924, 476, 2641, 267, 476, 1001, 272, 6697, 610, 3160, 1858, 20327, 513, 4786, 1858, 1993, 513, 2016, 2450, 267, 513, 5858, 1614, 6279, 538, 8006, 585, 3236, 267, 4564, 1482, 2179, 540, 3618, 2230, 1100, 2339, 1141, 593, 519, 8608, 519, 4786, 1858, 568, 4092, 269, 901, 4114, 23660, 519, 2070, 540, 519, 3618, 689, 519, 3141, 593, 519, 5162, 1151, 560, 823, 693, 29869, 538, 4342, 8822, 267, 12103, 269, 5741, 542, 9238, 585, 575, 529, 4648, 15276, 9095, 326, 529, 269, 634, 1353, 540, 4786, 20327, 568, 519, 18572, 540, 891, 1253, 25344, 269, 1548, 11282, 1062, 543, 16879, 568, 519, 4786, 538, 269, 4855, 28085, 585, 15649, 267, 3028, 24502, 267, 3009, 5439, 543, 811, 585, 513, 1808, 1587, 269, 13096, 636, 14759, 2520, 517, 564, 267, 519, 1965, 686, 2146, 575, 529, 269, 1452, 2835, 616, 5497, 547, 4217, 596, 609, 1620, 875, 547, 4383, 1239, 609, 9095, 326, 529, 476, 279, 563, 8139, 11282, 1949, 543, 20327, 585, 9095, 326, 529, 269, 10934, 20327, 23486, 8747, 540, 3875, 20327, 269, 1215, 547, 13143, 707, 4786, 547, 7824, 543, 795, 17989, 4647, 519, 1239, 269, 4804, 811, 827, 4786, 16879, 543, 11282, 1062, 2035, 269, 1403, 596, 723, 2417, 2055, 827, 4647, 543, 10380, 267, 1294, 519, 3655, 336, 269, 1703, 568, 1100, 3970, 547, 519, 1297, 540, 2009, 4786, 20327, 476, 272, 20327, 616, 513, 1641, 540, 1896, 6986, 6310, 4610, 267, 1519, 11186, 9511, 267, 1788, 633, 9511, 267, 543, 7030, 9529, 269, 4197, 4786, 20327, 13941, 2985, 585, 737, 691, 578, 20623, 269, 8437, 4647, 610, 1224, 2228, 7735, 547, 1205, 1210, 9095, 326, 529, 8901, 25566, 1433, 1631, 563, 24961, 20327, 2527, 11637, 20576, 540, 2029, 269, 589, 575, 529, 10923, 1344, 1062, 568, 513, 1187, 543, 6198, 4062, 540, 3937, 602, 3091, 7851, 267, 543, 865, 1454, 811, 269, 634, 9095, 326, 529, 11052, 1433, 4647, 19545, 7824, 267, 3134, 889, 267, 512, 29301, 267, 4254, 328, 269, 5741, 542, 9238, 585, 575, 529, 4648, 15276, 9095, 326, 529, 585, 269, 634, 6708, 267, 4087, 267, 543, 3959, 596, 1616, 547, 8190, 1590, 1217, 707, 3903, 540, 4786, 16879, 269, 17859, 540, 519, 4786, 16879, 6074, 267, 930, 1253, 25344, 547, 891, 4162, 786, 2049, 32650, 15326, 476, 1960, 275, 269, 589, 16879, 568, 519, 1797, 676, 799, 596, 4159, 519, 11282, 1062, 543, 707, 1239, 593, 513, 6366, 2627, 267, 971, 607, 513, 4062, 540, 1957, 610, 513, 3059, 5496, 269, 4635, 9095, 326, 529, 8901, 25566, 4647, 19545, 7824, 267, 3134, 889, 563, 19324, 686, 2046, 32245, 2835, 543, 18862, 593, 575, 529, 267, 7047, 2762, 267, 543, 519, 3498, 540, 8901, 2079, 269, 21213, 22097, 525, 686, 22097, 12319, 269, 12474, 5532, 689, 1934, 568, 711, 8242, 543, 568, 711, 4570, 585, 2487, 8747, 540, 9095, 326, 529, 269, 1452, 1614, 2835, 6338, 596, 547, 13664, 543, 15810, 11282, 1949, 543, 547, 2520, 617, 520, 15390, 2035, 543, 2982, 875, 547, 946, 519, 9095, 326, 529, 18376, 2472, 9095, 16769, 267, 818, 1027, 3218, 267, 543, 9095, 1613, 547, 2936, 13664, 6538, 6272, 269, 769, 7047, 2762, 267, 513, 4786, 16879, 568, 513, 1259, 547, 24609, 513, 5895, 525, 2627, 883, 513, 7077, 538, 1931, 547, 269, 17361, 2242, 538, 835, 4287, 547, 581, 15558, 676, 4336, 2242, 538, 519, 824, 4287, 269, 19019, 531, 3391, 585, 519, 9095, 326, 529, 11052, 1433, 1965, 686, 269, 1411, 666, 4647, 606, 10380, 3391, 267, 3732, 1239, 267, 543, 519, 5767, 4528, 540, 512, 660, 332, 2354, 563, 296, 557, 6836, 513, 1906, 1965, 686, 1666, 655, 777, 6106, 1158, 8265, 4786, 267, 543, 1158, 11052, 269, 1717, 267, 4786, 16879, 4016, 4481, 547, 513, 7047, 4919, 16879, 269, 9253, 7534, 32650, 15326, 693, 2825, 1949, 1382, 20576, 1965, 686, 269, 12834, 9103, 1023, 20925, 1689, 538, 519, 2450, 543, 3892, 540, 519, 7622, 2551, 5956, 693, 519, 10315, 1377, 609, 1896, 2959, 540, 1239, 563, 29973, 4162, 540, 782, 4786, 20327, 553, 1051, 267, 5133, 267, 543, 23673, 732, 5941, 269, 4014, 519, 3618, 568, 1655, 6719, 676, 513, 838, 515, 5514, 267, 519, 3618, 568, 3006, 5701, 607, 513, 12106 ]

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

[ 3157, 543, 1870, 1184, 3301, 2709, 1896, 2640, 547, 3906, 563, 268, 22159, 540, 4220, 2404, 609, 6959, 543, 4420, 6352, 1815, 802, 563, 268, 3687, 574, 1436, 540, 32118, 2238, 543, 4199, 729, 5653, 454, 268, 20865, 20104, 2359, 267, 2792, 267, 543, 5698, 563, 268, 24046, 4398, 543, 2799, 7607, 563, 268, 20865, 22231, 538, 4238, 543, 10220, 609, 2872, 6042, 563, 268, 13722, 18820, 543, 4824, 2773, 585, 3906, 563, 1432, 616, 519, 476, 276, 4295, 1870, 3157, 888, 2467, 616, 2947, 4295, 1870, 3157, 602, 616, 1898, 585, 519, 8647, 540, 1022, 3919, 269, 1452, 3157, 616, 2629, 585, 8236, 519, 3919, 781, 3853, 543, 6859, 563, 268, 21864, 2359, 3157, 4125, 4259, 1279, 3856, 3853, 543, 6859, 267, 543, 3384, 454, 268, 7358, 1049, 3157, 2327, 3608, 543, 2500, 6765, 540, 2472, 610, 2533, 267, 1519, 2504, 267, 27147, 267, 11891, 2359, 267, 2298, 1852, 267, 543, 6075, 3028, 563, 268, 11038, 3157, 4125, 5883, 2883, 2200, 547, 2327, 2883, 3853, 616, 1558, 543, 4220, 616, 7307, 563, 268, 5274, 12754, 3157, 2327, 519, 1318, 1004, 609, 519, 1318, 1983, 616, 538, 1747, 563, 268, 16373, 3157, 4125, 7114, 543, 17598, 6075, 2115, 543, 4180, 2500, 6725, 547, 3077, 5561, 563, 1432, 616, 519, 476, 275, 6688, 540, 3157, 888, 19968, 3157, 666, 581, 19040, 883, 2185, 1292, 2010, 912, 268, 5004, 3157, 281, 3743, 585, 2949, 4058, 267, 11558, 267, 543, 1852, 540, 606, 3919, 563, 268, 7358, 1049, 3157, 281, 4295, 2238, 2047, 7700, 547, 519, 5137, 543, 6765, 540, 2472, 610, 2533, 563, 268, 25417, 3157, 281, 1683, 2556, 5989, 543, 2200, 585, 519, 5347, 8647, 540, 519, 3919, 563, 268, 25833, 3157, 281, 3743, 585, 6117, 5647, 543, 6454, 1369, 519, 3919, 563, 16032, 2853, 585, 7598, 3157, 2443, 2480, 11171, 621, 2336, 300, 6260, 856, 513, 1184, 1797, 596, 4076, 547, 1376, 689, 1900, 835, 269, 2334, 1797, 6998, 3054, 267, 1018, 616, 707, 3853, 543, 6859, 585, 513, 1880, 1184, 888, 2710, 596, 723, 519, 2556, 2200, 547, 4163, 856, 519, 1184, 267, 543, 875, 1058, 789, 581, 21248, 286, 5808, 3217, 5539, 585, 8876, 856, 519, 1184, 267, 543, 865, 593, 563, 291, 17805, 532, 519, 1184, 1210, 2480, 11171, 689, 1376, 547, 9096, 13071, 596, 1445, 593, 519, 960, 602, 6927, 2443, 1247, 2679, 3532, 12319, 563, 306, 9216, 12958, 513, 1900, 8386, 9912, 3391, 609, 1257, 267, 6402, 543, 23064, 13819, 32718, 563, 2791, 666, 3362, 946, 891, 585, 593, 24692, 3157, 1932, 269, 3371, 779, 513, 2480, 11171, 593, 875, 547, 593, 4580, 513, 2319, 593, 21912, 1103, 6455, 4044, 1807, 912, 31088, 32301, 568, 4105, 454, 31088, 32301, 13976, 519, 5748, 585, 513, 5347, 22892, 5106, 538, 519, 2110, 543, 1279, 2165, 563, 31936, 267, 707, 2319, 568, 2312, 593, 741, 5107, 543, 9021, 269, 901, 6971, 1022, 8458, 540, 6959, 267, 799, 666, 581, 2417, 31965, 609, 519, 948, 540, 2645, 899, 2480, 11171, 269, 3767, 1589, 827, 799, 1870, 1184, 596, 666, 2936, 538, 707, 3919, 2221, 269, 0, 17746, 2315, 8881, 9751, 281, 11146, 1280, 5020, 2201, 634, 16763, 454, 8139, 519, 8241, 14716, 23721, 454, 763, 4070, 2872, 538, 5245, 568, 1634, 585, 922, 4763, 267, 21214, 10821, 267, 5010, 267, 3540, 267, 543, 4853, 3785, 269, 898, 18271, 513, 5318, 13781, 602, 2882, 26767, 267, 23194, 15161, 267, 8030, 267, 543, 2978, 537, 516, 3464, 267, 1142, 609, 741, 2189, 5107, 543, 9021, 269, 2755, 891, 5107, 616, 1898, 585, 519, 3356, 540, 4070, 3785, 267, 789, 849, 16616, 4600, 547, 513, 3099, 540, 10898, 563, 7659, 18171, 1841, 538, 519, 8241, 14716, 12752, 454, 272, 269, 22484, 689, 1261, 2074, 454, 22998, 693, 15627, 267, 971, 607, 593, 21934, 13783, 267, 561, 5417, 619, 267, 610, 22908, 267, 568, 835, 540, 519, 3056, 3123, 540, 28896, 543, 7063, 538, 519, 4070, 2872, 269, 14146, 619, 1590, 1683, 2887, 4027, 1949, 543, 2327, 4600, 616, 8036, 538, 741, 946, 563, 273, 269, 15379, 18171, 1841, 454, 22998, 609, 5201, 666, 1291, 547, 5122, 28654, 267, 17236, 267, 543, 6850, 322, 1903, 269, 14716, 4600, 1419, 2097, 883, 3346, 609, 1379, 3515, 267, 25768, 11443, 267, 610, 5122, 3937, 267, 1818, 5122, 3106, 2629, 563, 274, 269, 15015, 30047, 543, 8210, 12455, 15299, 454, 299, 14823, 543, 8876, 5230, 2326, 610, 2645, 666, 1291, 547, 30273, 7063, 269, 14146, 619, 1058, 2936, 2922, 17666, 2853, 543, 1683, 3937, 899, 11876, 1235, 610, 7047, 338, 547, 2569, 519, 1981, 563, 275, 269, 7557, 10320, 543, 16811, 454, 23330, 908, 5230, 12227, 543, 3937, 267, 971, 607, 1835, 6951, 267, 4439, 671, 9926, 619, 267, 543, 14155, 2209, 267, 666, 581, 13818, 269, 7743, 2866, 543, 5826, 616, 1898, 547, 2061, 10913, 563, 276, 269, 12096, 532, 27014, 454, 30606, 338, 9991, 689, 15627, 610, 1373, 12628, 689, 1657, 666, 2014, 3978, 7063, 269, 20709, 1058, 5957, 3617, 2123, 8825, 3937, 630, 13048, 292, 264, 899, 2182, 22970, 543, 946, 11935, 2121, 1154, 610, 6952, 5867, 950, 2556, 563, 277, 269, 4762, 1441, 28805, 454, 22998, 538, 16876, 5624, 267, 971, 607, 512, 29168, 267, 666, 581, 5906, 1813, 547, 519, 1981, 540, 3411, 6327, 267, 6757, 3154, 4598, 267, 610, 2458, 22663, 269, 29615, 12930, 2866, 267, 14910, 267, 543, 3106, 3800, 616, 1898, 563, 278, 269, 32126, 748, 15240, 1734, 454, 17746, 2315, 4600, 949, 7237, 13818, 2326, 899, 20702, 267, 1291, 267, 610, 6757, 6464, 269, 7743, 7829, 267, 4859, 267, 543, 12871, 616, 2629, 547, 2061, 4598, 543, 1072, 4220, 563, 279, 269, 30433, 543, 966, 12299, 454, 17746, 2315, 4609, 616, 1419, 26776, 5054, 267, 543, 12675, 4598, 547, 1164, 6846, 2157, 666, 1291, 547, 6217, 2530, 269, 966, 2320, 725, 689, 5230, 12227, 666, 849, 2014, 1072, 2042, 269, 24651, 4027, 543, 3937, 5826, 616, 4105, 563, 280, 269, 14333, 543, 12019, 13262, 454, 288, 20624, 779, 2916, 666, 16616, 4070, 4600, 547, 3665, 5210, 269, 14333, 2566, 543, 3002, 5829, 10108, 267, 607, 1134, 607, 4411, 2566, 543, 3834, 1278, 8926, 538, 16830, 4525, 267, 616, 1713, 4145, 269, 29615, 12930, 20697, 267, 1964, 267, 543, 3617, 7802, 616, 1898, 563, 1015, 269, 18143, 18171, 1841, 454, 17746, 2315, 4609, 666, 3984, 6211, 10898, 899, 22285, 267, 4551, 267, 543, 7786, 269, 20709, 949, 581, 693, 1981, 540, 7929, 2152, 610, 5563, 269, 7743, 9882, 543, 623, 14154, 616, 2556, 547, 11574, 891, 4220, 563, 27735, 540, 14716, 8881, 9751, 538, 5245, 454, 272, 269, 22159, 538, 31071, 20070, 3753, 454, 19187, 3106, 2866, 28382, 4600, 609, 519, 1702, 543, 1983, 547, 2697, 543, 11574, 1761, 10898, 267, 3056, 547, 513, 1713, 5786, 538, 9036, 7063, 543, 10913, 563, 273, 269, 28597, 609, 22769, 454, 288, 26894, 4031, 543, 6042, 2154, 12820, 547, 1683, 7850, 3106, 2866, 547, 741, 4070, 4600, 269, 28597, 609, 891, 6042, 568, 1898, 547, 2057, 3656, 4539, 563, 274, 269, 3687, 574, 1436, 540, 674, 7614, 885, 454, 32086, 2337, 4600, 1174, 519, 4220, 2404, 609, 741, 4247, 543, 875, 547, 6922, 1047, 873, 267, 6038, 4227, 519, 10171, 540, 14603, 10913, 593, 4070, 4609, 563, 275, 269, 24046, 11485, 17607, 454, 32552, 2866, 4679, 4600, 685, 4656, 540, 3106, 10898, 267, 1818, 873, 811, 21713, 543, 14942, 538, 7114, 543, 5466, 1761, 4220, 563, 276, 269, 20865, 8605, 2032, 454, 288, 2922, 960, 1604, 568, 1419, 513, 811, 11327, 835, 269, 1879, 4600, 616, 8746, 538, 741, 3106, 1702, 267, 789, 666, 1445, 593, 741, 4247, 1510, 30411, 610, 4250, 540, 10913, 563, 277, 269, 8779, 14205, 902, 454, 293, 1168, 518, 9036, 7063, 1611, 2539, 4600, 685, 13180, 3790, 267, 4389, 2564, 9276, 267, 543, 8519, 29987, 1813, 547, 10913, 267, 3056, 547, 1942, 9806, 585, 12820, 563, 278, 269, 10466, 540, 20709, 685, 2657, 454, 32552, 2866, 5849, 602, 4600, 616, 5483, 827, 1072, 4220, 2404, 609, 4070, 960, 267, 971, 607, 4598, 547, 13818, 2326, 267, 7452, 267, 543, 6846, 267, 4543, 873, 2149, 741, 1279, 3856, 1072, 563, 279, 269, 17073, 15863, 16721, 1563, 1145, 454, 32086, 2488, 4600, 609, 519, 1983, 543, 1702, 2877, 547, 4431, 3927, 547, 18002, 267, 971, 607, 11642, 267, 3114, 29908, 267, 610, 7063, 267, 5732, 9494, 2729, 563, 280, 269, 8871, 10056, 540, 8881, 9177, 454, 2691, 3106, 2866, 568, 3922, 2213, 267, 621, 11942, 513, 2528, 540, 3106, 1369, 519, 4070, 2872, 267, 1141, 3106, 3587, 513, 3838, 1871, 543, 513, 7104, 5539, 563, 1015, 269, 14847, 1438, 1520, 2779, 720, 454, 17746, 2315, 3549, 609, 513, 2178, 3106, 2594, 543, 513, 7029, 547, 5571, 2866, 616, 811, 2693, 547, 4482, 9952, 4600, 543, 3094, 11731, 269, 1849, 1801, 543, 8639, 1419, 4782, 2324, 609, 3549, 602, 3922, 1047, 3106, 563, 15253, 7859, 540, 14716, 8881, 9751, 538, 5245, 454, 272, 269, 1473, 25934, 9751, 454, 1607, 3355, 2866, 2488, 606, 7650, 540, 519, 4070, 3135, 779, 3106, 4507, 267, 5773, 267, 543, 6595, 10873, 269, 898, 568, 1419, 519, 1101, 1900, 585, 1007, 4600, 10024, 513, 4070, 1788, 563, 273, 269, 4937, 8881, 30332, 454, 13480, 619, 616, 8036, 538, 4909, 3106, 5773, 267, 1519, 519, 1697, 946, 540, 2123, 8825, 3937, 630, 13048, 292, 1070, 9651, 8446, 267, 8989, 5773, 267, 543, 2922, 960, 2853, 563, 274, 269, 16930, 32126, 9751, 454, 27039, 593, 519, 4070, 3135, 543, 4247, 3238, 267, 4600, 949, 4309, 2866, 593, 1808, 10898, 267, 971, 607, 2324, 693, 15627, 267, 5122, 3106, 267, 13818, 6878, 267, 16876, 5624, 267, 543, 12227, 5106, 563, 275, 269, 17073, 15863, 9751, 454, 13480, 619, 616, 13473, 593, 875, 547, 4431, 547, 18002, 267, 1519, 3595, 3106, 267, 1101, 5351, 267, 543, 27549, 5773, 563, 276, 269, 11485, 10495, 454, 32086, 538, 1981, 4879, 543, 9651, 1852, 3800, 2337, 4600, 2697, 1761, 12178, 543, 1491, 3617, 15324, 3527, 563, 277, 269, 15822, 4518, 6396, 32276, 630, 14684, 5960, 994, 13480, 619, 949, 4309, 2866, 593, 2870, 543, 1739, 17335, 5960, 267, 799, 7291, 519, 2922, 5773, 585, 1808, 4070, 4247, 563, 278, 269, 7025, 8881, 454, 1607, 5057, 6227, 3584, 1644, 547, 2825, 4027, 267, 3653, 12871, 267, 543, 6940, 2853, 593, 4070, 4609, 563, 279, 269, 2657, 543, 4270, 5630, 454, 13480, 619, 616, 8036, 593, 4509, 2168, 543, 2790, 1072, 593, 519, 2816, 267, 1519, 519, 2956, 540, 7850, 1964, 267, 6484, 267, 543, 2566, 2359, 563, 280, 269, 27943, 28597, 454, 32086, 2882, 606, 7650, 540, 4143, 8241, 17163, 1072, 543, 3106, 4031, 543, 6042, 267, 3746, 2358, 519, 3656, 13800, 540, 4600, 543, 12820, 563, 1015, 269, 23120, 9751, 454, 302, 32054, 2866, 543, 18589, 615, 6030, 616, 3177, 547, 2327, 602, 4600, 3251, 1699, 609, 3106, 2853, 543, 6042, 563, 1556, 269, 8111, 6665, 528, 543, 15440, 9751, 454, 31714, 538, 19217, 800, 610, 31707, 5107, 4309, 3606, 2866, 538, 3106, 5718, 267, 10071, 8989, 267, 543, 5883, 3106, 593, 519, 4070, 3135, 563, 1321, 269, 11657, 566, 543, 16680, 18227, 454, 32086, 593, 519, 1697, 12319, 540, 3106, 5829, 13685, 267, 24422, 267, 543, 3106, 11401, 568, 1898, 585, 4509, 513, 2922, 960, 1604, 543, 735, 2391, 609, 6042, 563, 1724, 269, 8836, 17607, 543, 9442, 454, 17746, 2315, 3106, 2866, 1419, 3746, 2478, 519, 2956, 540, 2500, 2792, 267, 16542, 267, 543, 5807, 513, 3106, 23655, 2528, 1851, 782, 4600, 563, 2304, 11137, 540, 519, 14716, 12752, 853, 1846, 538, 5245, 454, 13146, 1239, 689, 15822, 4518, 5245, 19156, 519, 2565, 1909, 540, 4070, 3106, 2866, 538, 519, 2872, 779, 1391, 585, 4824, 3106, 4093, 269, 6736, 513, 862, 754, 762, 476, 6872, 2600, 5786, 538, 5245, 779, 960, 3170, 1275, 2557, 2094, 476, 1220, 278, 267, 519, 4070, 5823, 5170, 547, 3068, 10770, 2591, 269, 769, 476, 1708, 271, 543, 476, 1708, 272, 4805, 267, 519, 4070, 2872, 6592, 476, 2190, 28896, 267, 10223, 519, 991, 585, 5571, 3106, 9283, 269, 901, 22880, 4641, 19156, 519, 13766, 540, 7347, 4070, 3106, 2866, 3292, 563, 13010, 267, 519, 4070, 2872, 12066, 956, 609, 513, 16113, 1164, 11841, 2557, 540, 3978, 5945, 6811, 267, 609, 476, 1626, 269, 280, 6811, 829, 476, 272, 267, 1822, 4600, 267, 1134, 1657, 519, 2872, 3328, 540, 476, 1015, 269, 276, 6811, 829, 476, 272, 267, 1822, 4600, 269, 901, 2557, 20546, 525, 1256, 602, 540, 5663, 543, 6683, 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 ]

[ 31012, 6243, 1369, 519, 9677, 1014, 9399, 305, 563, 763, 1520, 21186, 6789, 17876, 729, 3964, 593, 5147, 476, 1626, 267, 476, 4572, 272, 1369, 519, 9677, 1014, 9399, 305, 607, 513, 12343, 540, 519, 15521, 540, 918, 1513, 269, 634, 14097, 16287, 519, 1439, 540, 519, 24272, 30510, 22411, 538, 2622, 2782, 594, 3177, 585, 519, 6498, 540, 519, 5449, 15506, 636, 744, 4565, 770, 540, 519, 918, 583, 9820, 17135, 622, 540, 519, 6739, 7276, 1063, 11908, 543, 11894, 269, 4340, 547, 519, 6876, 519, 7187, 3368, 609, 1713, 9677, 1014, 7332, 2551, 1131, 1831, 851, 540, 519, 8168, 11908, 855, 11292, 13190, 563, 5194, 14628, 14081, 729, 3964, 538, 5147, 476, 4572, 271, 538, 715, 12112, 577, 23186, 267, 606, 1858, 536, 867, 1359, 18433, 807, 267, 11894, 543, 9459, 267, 799, 729, 10645, 676, 18433, 2103, 543, 29494, 13568, 529, 269, 2991, 519, 13567, 540, 519, 3148, 676, 519, 4414, 8136, 267, 519, 715, 12112, 577, 23186, 32534, 8168, 31012, 6243, 729, 10294, 609, 834, 29148, 13218, 257, 547, 519, 29494, 329, 8643, 9399, 305, 269, 634, 15521, 540, 18293, 543, 519, 15521, 540, 918, 1513, 3964, 519, 715, 12112, 577, 23186, 3148, 607, 606, 14628, 14081, 896, 519, 4027, 540, 519, 8168, 6243, 540, 29494, 13568, 563, 23175, 338, 540, 1533, 454, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 630, 20606, 476, 1001, 274, 994, 347, 301, 541, 27332, 23902, 27332, 990, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 19064, 565, 1731, 17369, 631, 15965, 8643, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 11908, 2008, 24820, 548, 802, 663, 337, 3733, 553, 23364, 12505, 1475, 18550, 1700, 20103, 476, 4572, 273, 1475, 15973, 626, 9549, 540, 18433, 807, 2008, 347, 301, 541, 27332, 23902, 27332, 990, 1475, 4572, 273, 1700, 4572, 276, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 347, 294, 1794, 534, 30138, 4053, 629, 2131, 990, 1475, 4572, 276, 1700, 4350, 279, 1475, 15973, 626, 9549, 540, 29494, 13568, 2008, 23277, 16554, 841, 570, 12921, 327, 752, 11535, 630, 272, 560, 942, 10534, 4572, 273, 1700, 4572, 278, 1475, 10481, 3073, 807, 2008, 16085, 600, 611, 989, 320, 1325, 12011, 5271, 1475, 4572, 273, 1700, 4572, 280, 1475, 288, 345, 27930, 13568, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 272, 560, 942, 10534, 4572, 278, 1700, 4572, 279, 1475, 10481, 3073, 807, 2008, 23277, 16554, 841, 570, 12921, 327, 752, 11535, 630, 273, 526, 942, 10534, 4572, 279, 1700, 4350, 272, 1475, 10481, 3073, 807, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 273, 526, 942, 10534, 4350, 272, 1700, 4350, 276, 1475, 10481, 3073, 807, 2008, 16085, 23546, 20727, 573, 2279, 663, 12011, 5271, 1475, 4350, 272, 1700, 4350, 277, 1475, 288, 345, 27930, 13568, 2008, 24820, 767, 2037, 4157, 573, 2763, 1475, 18550, 1700, 9802, 476, 4350, 276, 1475, 10481, 3073, 807, 2008, 347, 23742, 2089, 25120, 9618, 611, 2763, 630, 274, 6113, 942, 10534, 4350, 276, 1700, 4350, 277, 1475, 10481, 3073, 807, 2008, 1805, 10102, 543, 2022, 531, 1686, 454, 1607, 3296, 2115, 3606, 14327, 585, 19027, 269, 630, 20809, 476, 1001, 272, 994, 6524, 476, 4572, 274, 267, 11908, 267, 18433, 807, 267, 543, 29494, 13568, 9783, 1142, 922, 1378, 2022, 720, 22827, 269, 634, 3690, 322, 14072, 22057, 18966, 3459, 29307, 922, 1378, 22827, 593, 5181, 476, 1428, 267, 476, 4572, 274, 267, 543, 25436, 17660, 519, 5094, 1065, 28362, 923, 262, 2152, 593, 5239, 476, 272, 563, 763, 1101, 2152, 15538, 540, 930, 540, 519, 22827, 540, 6576, 543, 18433, 807, 936, 2745, 539, 609, 513, 5182, 5627, 519, 2947, 268, 12072, 27099, 540, 519, 18966, 3330, 519, 2798, 269, 7136, 633, 10637, 2348, 1305, 538, 267, 713, 729, 4553, 676, 606, 3390, 540, 519, 18966, 781, 1378, 6272, 267, 2185, 2418, 540, 513, 2070, 540, 3282, 4610, 267, 543, 2185, 609, 513, 1395, 5653, 540, 8168, 6698, 936, 10239, 543, 3282, 3541, 9581, 267, 2418, 8151, 689, 476, 2412, 267, 1822, 547, 476, 4335, 267, 1822, 13193, 7632, 269, 634, 476, 2412, 267, 1822, 13193, 7632, 543, 476, 4037, 267, 1822, 13193, 7632, 941, 1287, 1147, 12737, 539, 547, 476, 10384, 267, 1822, 13193, 7632, 269, 2201, 5239, 476, 2190, 267, 519, 22827, 941, 556, 268, 1170, 4240, 609, 2418, 689, 476, 272, 547, 476, 1240, 4154, 737, 641, 1815, 802, 269, 18786, 538, 476, 4572, 275, 267, 519, 18966, 1031, 22827, 540, 519, 8168, 5742, 563, 7197, 540, 519, 22827, 540, 519, 18966, 616, 711, 2523, 4686, 2221, 267, 609, 476, 1960, 279, 5777, 538, 519, 2475, 259, 272, 1700, 273, 2039, 267, 4352, 519, 936, 21646, 593, 29515, 22827, 2039, 909, 547, 2475, 259, 1220, 269, 1306, 1522, 581, 4397, 689, 513, 2110, 1974, 540, 6165, 267, 1031, 22827, 616, 1447, 1455, 982, 30694, 543, 6227, 616, 711, 1419, 2938, 563, 268, 918, 1513, 6243, 454, 268, 13738, 32534, 8168, 31012, 6243, 454, 268, 26403, 1014, 1700, 14582, 528, 11701, 8168, 31012, 6243, 454, 268, 10787, 8109, 6243, 454, 268, 5213, 6243, 454, 268, 918, 889, 534, 4658, 781, 6243, 454, 268, 28554, 4115, 8168, 6243, 454, 268, 3115, 28362, 923, 540, 519, 8168, 5742, 454, 268, 918, 2674, 322, 5633, 6243, 454, 268, 6129, 344, 476, 1960, 275, 267, 6032, 269, 476, 4489, 1700, 4572, 454, 268, 6129, 344, 476, 1960, 275, 267, 533, 269, 476, 25090, 454, 268, 2843, 501, 3522, 18547, 8563, 18547, 13194, 4736, 18547, 9326, 16044, 482, 29391, 3264, 13077, 30530, 9326, 21444, 476, 1001, 276, 268, 6021, 268, 1839, 693, 519, 10158, 3724, 10724, 269, 2843, 495, 17201, 9841, 20732, 3522, 9326, 11012, 13833, 20046, 4736, 18547, 9326, 16044, 491, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 267, 476, 274, 268, 3264, 15800, 13194, 9686, 1421, 28314, 6459, 269, 476, 16417, 9686, 269, 2843, 494, 269, 2843, 506, 269, 2843, 509, 4814, 3378, 17153, 18775, 13833, 269, 2843, 506, 25974, 7549, 27593, 281, 29112, 13833, 20046, 4736, 18547, 9326, 16044, 491, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 267, 476, 3192, 273, 269, 2843, 351, 269, 476, 280, 630, 288, 269, 631, 269, 1160, 330, 1817, 990, 282, 1696, 620, 1421, 32308, 269, 630, 3192, 273, 1040, 834, 9558, 322, 14072, 22057, 18966, 2668, 4279, 8168, 15610, 630, 514, 6739, 1040, 5292, 269, 476, 280, 269, 18293, 281, 8168, 15610, 8094, 268, 590, 777, 541, 990, 476, 1001, 276, 267, 6032, 269, 476, 2004, 1700, 6872, 454, 268, 670, 1168, 8636, 476, 1960, 274, 267, 533, 269, 476, 27244, 454, 268, 2349, 879, 15414, 476, 1220, 278, 267, 533, 269, 476, 18891, 454, 268, 7956, 540, 519, 15521, 540, 918, 1513, 454, 268, 834, 9558, 322, 14072, 14901, 1923, 853, 10102, 543, 2022, 531, 1686, 1923, 853, 2086, 13328, 14532, 2668, 21444, 689, 519, 3312, 593, 476, 1001, 278, 268, 1321, 268, 1691, 269, 8158, 476, 1321, 4864, 476, 1001, 279, 563, 268, 2349, 879, 15414, 267, 30227, 630, 9802, 476, 1220, 278, 1070, 834, 6781, 16223, 1794, 807, 281, 4793, 1258, 720, 543, 5295, 538, 519, 23237, 16527, 2580, 2817, 885, 14430, 267, 476, 3374, 630, 273, 2567, 476, 10711, 1700, 22446, 267, 8222, 281, 1015, 269, 10482, 271, 270, 27947, 4962, 280, 3445, 278, 23713, 276, 6246, 1240, 267, 590, 273, 290, 2839, 476, 12553, 3199, 274, 28091, 454, 268, 11206, 1512, 6261, 5674, 7806, 267, 18264, 1329, 928, 630, 20464, 476, 1001, 279, 1070, 834, 306, 990, 2884, 8549, 1143, 693, 4518, 281, 16497, 689, 519, 3778, 540, 519, 3690, 322, 14072, 22057, 18966, 267, 476, 4572, 273, 268, 4350, 277, 2580, 808, 1695, 337, 321, 6686, 7815, 24166, 717, 525, 577, 747, 974, 27777, 1755, 335, 553, 267, 476, 4792, 630, 275, 2567, 476, 276, 3066, 1700, 4649, 280, 454, 268, 670, 1168, 8636, 267, 645, 14371, 269, 630, 1960, 274, 1070, 834, 6781, 16223, 1794, 807, 281, 513, 1966, 540, 3961, 543, 9562, 2580, 6239, 7489, 11752, 267, 476, 1321, 630, 274, 2567, 476, 29045, 1700, 26825, 267, 8222, 281, 1015, 269, 10482, 271, 270, 271, 2918, 4097, 280, 4375, 274, 5400, 275, 25484, 866, 454, 268, 18999, 267, 6424, 21244, 630, 3422, 273, 1070, 589, 3778, 540, 7073, 11908, 267, 5507, 281, 1284, 16582, 26709, 543, 12832, 565, 5459, 454, 268, 590, 777, 541, 990, 267, 1488, 338, 11726, 928, 630, 1001, 276, 1070, 3245, 18366, 547, 4201, 16860, 538, 519, 24272, 30510, 281, 634, 8168, 5742, 543, 519, 1818, 540, 2806, 16223, 1794, 807, 267, 3162, 744, 1087, 564, 807, 543, 18491, 1941, 334, 10127, 629, 12112, 267, 1715, 3840, 4975, 281, 30296, 267, 9768, 476, 7818, 268, 271, 268, 6078, 268, 276, 4792, 26764, 268, 278, 454, 268, 6129, 344, 267, 30370, 717, 3419, 528, 630, 1960, 275, 1070, 634, 10435, 540, 519, 9677, 1014, 13780, 630, 13553, 1196, 13776, 2349, 334, 4040, 2023, 267, 18518, 281, 18518, 2160, 4964, 0, 1432, 616, 519, 476, 275, 1292, 21437, 540, 519, 2657, 27801, 7844, 286, 634, 5859, 729, 2966, 1210, 519, 670, 13696, 267, 799, 2022, 12885, 602, 2185, 21437, 616, 1883, 9072, 585, 1857, 1072, 9439, 5275, 547, 1689, 2623, 281, 7496, 267, 2640, 267, 12117, 267, 543, 3463, 563, 1432, 568, 519, 3844, 4020, 540, 519, 2657, 27801, 7844, 286, 634, 2185, 1883, 21437, 540, 519, 1072, 3661, 2203, 616, 4857, 607, 9228, 18687, 543, 9228, 10335, 630, 18314, 7516, 540, 968, 628, 805, 25257, 543, 9228, 2640, 543, 9228, 7496, 630, 1492, 3334, 540, 968, 6339, 2640, 892, 1916, 7617, 1383, 568, 513, 5057, 540, 519, 2657, 27801, 7844, 670, 13696, 286, 634, 670, 13696, 24283, 689, 5626, 543, 8965, 3069, 609, 519, 5748, 602, 519, 1079, 3334, 540, 1072, 5829, 2623, 616, 476, 272, 264, 519, 7287, 547, 2057, 4576, 267, 610, 598, 14287, 1205, 1134, 952, 2907, 2192, 282, 543, 267, 476, 273, 264, 519, 3661, 602, 513, 1808, 1072, 2962, 786, 2061, 267, 610, 10826, 267, 4576, 563, 1432, 568, 513, 4020, 538, 1072, 2623, 286, 9502, 281, 513, 4020, 8204, 519, 13796, 10155, 540, 11775, 610, 3268, 998, 799, 2043, 616, 5156, 547, 1689, 630, 528, 711, 1689, 264, 741, 2623, 269, 0, 1432, 1772, 11982, 543, 1215, 6496, 898, 6435, 5980, 888, 1432, 568, 11982, 286, 11982, 568, 519, 2259, 540, 8105, 2371, 543, 13184, 269, 901, 2259, 729, 513, 2629, 1646, 538, 519, 4473, 540, 25161, 1480, 10340, 269, 23582, 730, 2249, 1500, 1426, 811, 10731, 267, 799, 1500, 621, 2009, 585, 3425, 547, 7017, 1524, 538, 4872, 543, 723, 1426, 1147, 680, 4926, 269, 11982, 7389, 1394, 5215, 540, 1296, 269, 3367, 593, 547, 1451, 811, 827, 519, 1686, 540, 6683, 269, 1548, 616, 519, 2640, 540, 6683, 286, 1656, 875, 1281, 621, 948, 2486, 286, 2913, 781, 1491, 513, 1413, 693, 930, 1806, 563, 293, 9879, 568, 519, 2504, 540, 1426, 454, 763, 20656, 540, 8105, 568, 513, 3395, 6161, 5001, 269, 1677, 5818, 8105, 7607, 543, 1118, 621, 811, 13476, 7874, 267, 3609, 10850, 1590, 581, 2178, 269, 1452, 10850, 1058, 1489, 2789, 8105, 1949, 543, 5512, 30398, 540, 3309, 11396, 269, 769, 930, 2665, 267, 713, 1522, 1611, 12561, 4719, 14842, 540, 7031, 610, 2030, 9960, 2553, 269, 1717, 267, 971, 2853, 1058, 581, 14284, 269, 1703, 616, 1082, 824, 4145, 602, 616, 17709, 540, 7156, 269, 634, 1739, 616, 930, 540, 873, 563, 2026, 1426, 5777, 3136, 547, 2333, 267, 2825, 543, 3662, 10304, 4145, 786, 3136, 547, 1332, 269, 769, 3345, 2914, 3480, 2342, 267, 6694, 3609, 568, 1373, 9141, 676, 2825, 4145, 543, 15314, 585, 4130, 4336, 8105, 269, 1717, 267, 6848, 3007, 547, 2825, 2152, 568, 27929, 543, 9687, 267, 8380, 2604, 593, 6705, 269, 5015, 267, 1082, 1745, 602, 8105, 19330, 513, 1279, 3856, 5133, 269, 769, 519, 2136, 2276, 543, 4516, 267, 8105, 568, 513, 2101, 23784, 547, 2518, 8337, 563, 763, 2104, 540, 8105, 1590, 1491, 1312, 1426, 3354, 543, 6917, 7622, 2115, 883, 2272, 269, 17497, 267, 2244, 26610, 538, 4000, 543, 513, 3668, 540, 4244, 24454, 3544, 540, 6683, 17225, 4264, 14556, 2305, 269, 901, 3340, 811, 6237, 2213, 6694, 2504, 1949, 602, 13104, 1507, 14516, 6705, 689, 2518, 2213, 6990, 269, 901, 666, 581, 6913, 998, 519, 556, 2275, 537, 7204, 540, 13184, 543, 27442, 1076, 8105, 269, 589, 30729, 540, 713, 7678 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5619, 267, 519, 11667, 1790, 4660, 5256, 9441, 4607, 476, 280, 563, 763, 2817, 23582, 20222, 12182, 1467, 5359, 602, 8951, 6502, 476, 1240, 547, 476, 2190, 543, 476, 1839, 547, 476, 4097, 3622, 4810, 519, 5207, 3928, 540, 15982, 7649, 5208, 7379, 309, 269, 3571, 3966, 923, 2322, 11735, 513, 1554, 1572, 834, 23272, 2088, 26321, 9796, 4303, 2580, 2356, 538, 5437, 267, 602, 19082, 4656, 827, 519, 1249, 602, 5824, 553, 723, 547, 960, 476, 1015, 3275, 3476, 982, 513, 3043, 5256, 547, 1118, 607, 1454, 2724, 607, 873, 563, 29638, 8635, 538, 721, 320, 454, 18814, 547, 741, 28507, 2470, 267, 1804, 772, 269, 769, 513, 5619, 2073, 2021, 941, 811, 2693, 982, 2367, 547, 2161, 789, 1185, 3144, 9397, 689, 741, 11678, 547, 1416, 585, 741, 1920, 269, 634, 2817, 23582, 20222, 12182, 1467, 5359, 602, 8951, 6502, 476, 1240, 547, 476, 2190, 543, 476, 1839, 547, 476, 4097, 3622, 4810, 519, 5207, 3928, 540, 15982, 7649, 5208, 7379, 309, 269, 1280, 1383, 267, 538, 2073, 2021, 6719, 476, 8064, 2600, 540, 519, 1072, 543, 1514, 2533, 13781, 543, 3194, 9727, 602, 3610, 1439, 909, 3623, 9760, 6690, 538, 741, 5049, 269, 8750, 532, 585, 621, 1058, 2611, 538, 1931, 547, 2226, 1699, 29095, 1222, 3292, 543, 1711, 1007, 3292, 547, 6175, 519, 4008, 3604, 269, 10738, 519, 31232, 1895, 540, 2362, 13867, 6082, 267, 3162, 9705, 6585, 519, 11097, 652, 7934, 267, 609, 2367, 15980, 476, 4391, 2600, 811, 982, 2021, 267, 593, 3328, 269, 1452, 3268, 666, 581, 3144, 693, 519, 5313, 267, 1533, 267, 543, 18513, 2157, 540, 2229, 269, 16237, 28517, 519, 2924, 540, 4600, 547, 15217, 20476, 664, 666, 948, 547, 2417, 2333, 13848, 585, 2021, 538, 519, 9036, 269, 1635, 21208, 7288, 3400, 325, 2073, 17555, 9466, 543, 661, 850, 523, 4793, 1084, 634, 4008, 7934, 538, 2628, 814, 7522, 539, 2094, 2073, 855, 621, 814, 7283, 5266, 7123, 936, 519, 2250, 476, 1428, 1296, 610, 865, 269, 3487, 540, 713, 568, 1813, 547, 3604, 538, 2829, 609, 5934, 13848, 2362, 982, 519, 5313, 5934, 13230, 543, 2436, 2829, 723, 606, 3160, 2628, 1876, 269, 14755, 575, 25311, 7391, 676, 5026, 533, 1495, 1080, 267, 4775, 9845, 616, 1869, 3843, 547, 4339, 1996, 519, 13230, 7934, 602, 6818, 538, 519, 5026, 1158, 269, 15907, 1614, 856, 540, 5722, 2021, 945, 1616, 547, 13649, 676, 2085, 476, 6858, 786, 12517, 6560, 609, 9494, 267, 3081, 595, 8042, 290, 269, 29594, 757, 945, 5815, 789, 616, 2693, 547, 3251, 693, 1753, 547, 948, 1416, 585, 741, 1453, 616, 1447, 2693, 547, 2503, 513, 4487, 781, 4110, 267, 3318, 4110, 267, 610, 12854, 3379, 547, 1346, 24584, 547, 9003, 10536, 513, 20277, 781, 4110, 269, 1280, 15816, 4080, 602, 476, 7918, 2600, 540, 2021, 1491, 544, 24471, 4734, 267, 1247, 1175, 476, 5655, 2600, 540, 2367, 1491, 942, 2476, 689, 741, 6009, 563, 10303, 15271, 693, 513, 1007, 2816, 616, 1419, 1759, 593, 15271, 693, 513, 1991, 2816, 267, 1022, 7130, 513, 4807, 4810, 538, 1018, 1352, 729, 6976, 538, 519, 2250, 786, 4163, 4464, 543, 7623, 538, 2104, 6009, 269, 17906, 267, 14822, 267, 29049, 6816, 267, 543, 5842, 12770, 2907, 1450, 7264, 945, 20618, 607, 1970, 4747, 547, 7390, 2146, 2852, 585, 1863, 563, 1103, 4864, 6011, 1197, 267, 519, 11686, 7245, 9783, 513, 3251, 1354, 621, 3893, 25093, 269, 1280, 1762, 2021, 267, 519, 7934, 814, 7522, 539, 676, 513, 2147, 14345, 936, 942, 269, 6468, 616, 26173, 538, 2229, 563, 29638, 8635, 5013, 454, 29995, 267, 713, 1797, 9361, 3623, 1836, 543, 18906, 1947, 538, 1362, 269, 1280, 15816, 4080, 602, 476, 7918, 2600, 540, 2021, 1491, 544, 24471, 4734, 267, 1247, 1175, 476, 5655, 2600, 540, 2367, 1491, 942, 2476, 689, 741, 6009, 269, 9197, 5241, 2875, 10211, 24675, 8749, 1082, 1762, 4892, 2484, 883, 519, 2942, 2427, 540, 519, 5763, 1899, 267, 609, 519, 3389, 5006, 585, 4775, 1053, 269, 634, 4008, 2628, 7934, 4016, 547, 519, 11667, 5993, 2628, 540, 782, 4807, 945, 960, 2407, 942, 543, 1032, 15778, 267, 3976, 3379, 547, 519, 2628, 540, 513, 2147, 4282, 540, 2367, 269, 634, 10457, 1331, 835, 945, 814, 513, 11556, 585, 6976, 1920, 4734, 2443, 11420, 1807, 918, 1009, 523, 28711, 756, 8681, 11652, 1776, 609, 513, 17629, 4132, 5516, 1544, 2073, 6845, 1807, 10906, 25303, 269, 28266, 1546, 299, 879, 549, 667, 4211, 307, 2073, 12662, 8521, 10873, 27137, 607, 8506, 2312, 20319, 6788, 689, 519, 1376, 540, 7694, 20196, 1450, 4600, 547, 7662, 8112, 689, 741, 12820, 267, 1247, 7863, 4600, 689, 2883, 1427, 531, 2747, 610, 7694, 7130, 269, 3557, 2861, 3160, 2628, 4031, 543, 9870, 1533, 5934, 13230, 2157, 666, 543, 798, 1404, 606, 1271, 1909, 538, 19086, 6237, 4008, 8635, 267, 855, 18487, 4507, 547, 2232, 11173, 4008, 2628, 8635, 616, 2556, 269, 634, 4130, 16468, 9566, 5798, 540, 2021, 849, 723, 547, 12701, 2417, 982, 5256, 16468, 9806, 267, 3274, 1317, 2021, 723, 3476, 1272, 2503, 17473, 269, 634, 11686, 7245, 666, 576, 1194, 1082, 540, 891, 11731, 543, 26823, 2471, 16172, 1310, 5518, 18496, 11686, 3576, 5604, 269, 3690, 14054, 9483, 717, 2355, 13834, 20677, 717, 2355, 21058, 26730, 3990, 23909, 2443, 971, 607, 1126, 3249, 543, 13962, 3028, 2443, 3136, 547, 19582, 519, 2539, 2196, 7714, 540, 519, 772, 269, 15788, 267, 1114, 2516, 540, 2021, 1995, 3982, 10616, 538, 2628, 538, 519, 9036, 1813, 547, 9003, 741, 5198, 269, 7324, 519, 476, 2641, 2477, 8989, 1239, 585, 693, 2547, 835, 1032, 1282, 519, 1974, 267, 519, 4639, 7813, 543, 717, 18054, 1185, 519, 6574, 19261, 267, 609, 2367, 1821, 7627, 1175, 476, 1626, 2600, 607, 1454, 942, 547, 10002, 4660, 6469, 543, 11928, 1516, 960, 607, 2021, 269, 16319, 899, 513, 862, 976, 1619, 2014, 267, 1318, 286, 4438, 10026, 267, 1647, 267, 543, 1164, 1153, 267, 8695, 3136, 547, 1831, 811, 8746, 538, 741, 5759, 543, 7048, 593, 741, 4987, 547, 8011, 563, 22372, 593, 476, 1691, 2689, 0, 763, 16522, 4854, 7186, 540, 10334, 454, 268, 476, 272, 269, 272, 330, 20042, 454, 2690, 5553, 267, 7350, 729, 1298, 1042, 593, 519, 2079, 540, 519, 18784, 543, 12550, 2675, 8084, 10600, 267, 855, 2094, 519, 1439, 540, 519, 476, 866, 628, 2540, 621, 24482, 7550, 10282, 607, 513, 1797, 547, 1174, 6211, 1949, 267, 22541, 5063, 676, 519, 21554, 540, 10991, 7350, 269, 12634, 10991, 7350, 568, 9247, 7768, 540, 1585, 968, 516, 14142, 11031, 892, 609, 1114, 2409, 267, 4654, 267, 23199, 543, 989, 31789, 8348, 547, 1174, 6211, 1949, 543, 24568, 1880, 23121, 11653, 873, 585, 6061, 1072, 267, 1426, 267, 1648, 543, 2825, 2042, 269, 16522, 4854, 7350, 568, 711, 1152, 606, 10137, 540, 2757, 4719, 4702, 1141, 2637, 13443, 3525, 1881, 5029, 3359, 630, 14875, 11675, 264, 616, 3812, 267, 855, 621, 568, 849, 1439, 15735, 540, 1585, 2609, 602, 1450, 519, 11944, 540, 1007, 5841, 1272, 3029, 269, 769, 713, 3184, 267, 513, 5618, 1686, 540, 10991, 7350, 568, 4843, 267, 4553, 676, 513, 6609, 540, 922, 1034, 7986, 968, 339, 1026, 525, 892, 543, 513, 20790, 585, 11008, 2358, 519, 1585, 4702, 4485, 4867, 13736, 538, 519, 2361, 269, 1323, 7650, 540, 4540, 543, 13439, 1417, 10648, 11675, 568, 849, 2016, 267, 1519, 930, 540, 741, 3156, 607, 1134, 607, 19777, 23245, 543, 1979, 846, 2579, 4220, 269, 7053, 267, 930, 2591, 267, 21140, 543, 19433, 525, 538, 10991, 7350, 3564, 519, 14541, 616, 1360, 13713, 8947, 267, 3226, 609, 2543, 547, 2518, 1514, 5126, 267, 24339, 26494, 540, 7636, 7350, 267, 2825, 4145, 267, 3609, 7939, 267, 519, 10648, 302, 7521, 267, 2923, 1728, 701, 267, 1857, 10343, 267, 543, 519, 3390, 540, 759, 584, 5550, 532, 17255, 1272, 563, 21292, 7049, 2045, 8943, 16522, 4854, 10334, 32081, 3798, 1746, 27275, 26590, 28614, 15540, 16522, 4854, 4437, 6048, 454, 272, 269, 272, 16522, 4854, 5020, 2776, 600, 1076, 454, 763, 2596, 1770, 540, 1272, 568, 519, 1591, 267, 609, 519, 19206, 540, 4719, 19021, 640, 543, 4720, 607, 2189, 10689, 12201, 269, 1280, 5553, 267, 7350, 814, 1044, 519, 2257, 540, 1272, 5059, 593, 519, 2079, 540, 519, 18784, 630, 332, 19830, 6951, 267, 2281, 267, 8031, 267, 3092, 4700, 543, 12550, 2675, 8084, 630, 514, 4167, 338, 267, 2831, 267, 2371, 267, 3092, 4700, 10600, 267, 855, 621, 814, 7930, 7550, 10282, 607, 513, 1797, 547, 1174, 6211, 1949, 2094, 519, 3735, 476, 866, 628, 2540, 269, 769, 476, 6245, 280, 267, 585, 3236, 267, 538, 513, 6073, 602, 568, 24188, 540, 2221, 779, 2923, 267, 519, 11785, 670, 14283, 11356, 4080, 2283, 14260, 519, 960, 540, 519, 2475, 8566, 9007, 29489, 10496, 13196, 700, 4141, 321, 607, 519, 968, 21551, 540, 1272, 892, 630, 30761, 476, 1001, 271, 1040, 700, 4141, 321, 630, 6245, 280, 264, 568, 1634, 585, 1010, 8798, 540, 5841, 851, 1156, 14003, 281, 25782, 1646, 729, 13251, 676, 8156, 4262, 2712, 24739, 5798, 609, 22803, 20919, 269, 700, 4141, 321, 22885, 540, 2713, 7103, 607, 3114, 6191, 267, 543, 646, 6322, 585, 513, 10991, 2257, 540, 1272, 5827, 540, 8108, 1007, 10659, 689, 519, 2609, 540, 2713, 2470, 267, 2147, 547, 519, 1259, 538, 799, 606, 11653, 12034, 1010, 960, 267, 607, 4052, 267, 3730, 543, 6417, 630, 293, 9734, 879, 476, 1220, 280, 1040, 1403, 649, 849, 11291, 519, 968, 306, 24678, 1505, 547, 1174, 1272, 892, 676, 519, 3943, 7548, 538, 4915, 267, 853, 2946, 874, 2033, 700, 14445, 630, 6977, 274, 1700, 4350, 280, 1070, 519, 968, 290, 516, 566, 540, 1007, 2249, 676, 8097, 4720, 892, 676, 519, 10656, 7762, 534, 626, 18018, 334, 632, 966, 1845, 630, 7277, 279, 1700, 4350, 276, 1070, 610, 519, 968, 306, 24678, 1007, 2249, 676, 4719, 4702, 892, 676, 519, 1977, 7762, 534, 626, 15751, 2349, 1389, 23932, 630, 6942, 275, 1700, 4198, 275, 1070, 649, 666, 1294, 602, 2093, 540, 968, 1910, 660, 4854, 1272, 892, 759, 15903, 607, 2038, 607, 519, 476, 4350, 271, 338, 630, 23173, 1842, 476, 1220, 280, 1916, 763, 1714, 1075, 9179, 540, 519, 2497, 540, 519, 11140, 3743, 585, 19021, 640, 538, 782, 2713, 7103, 267, 519, 5595, 25316, 541, 5537, 632, 20293, 1026, 31265, 545, 3679, 630, 19091, 264, 927, 1460, 267, 676, 6276, 23846, 543, 14731, 595, 4459, 538, 519, 476, 4198, 271, 338, 630, 301, 984, 601, 15356, 538, 25665, 610, 6925, 476, 3422, 273, 1916, 763, 6602, 540, 19231, 11476, 676, 654, 518, 1676, 1488, 828, 267, 12253, 715, 987, 753, 543, 16803, 8055, 538, 519, 476, 3422, 271, 338, 630, 301, 984, 601, 15356, 538, 25665, 610, 6925, 476, 3192, 279, 1916, 763, 3498, 540, 519, 19231, 11476, 585, 5027, 21921, 5364, 2029, 676, 6754, 19161, 543, 9164, 538, 519, 476, 3192, 271, 338, 630, 301, 984, 601, 15356, 538, 11061, 476, 2735, 271, 1916, 763, 1646, 540, 519, 2029, 585, 23731, 31265, 582, 728, 10282, 538, 519, 476, 2735, 271, 338, 630, 325, 1495, 4442, 960, 585, 2413, 7636, 7350, 711, 2943, 13752, 513, 17587, 15356, 1916, 763, 1646, 540, 519, 12443, 1067, 848, 20456, 31472, 630, 303, 10135, 264, 585, 519, 1808, 538, 20117, 29208, 540, 5027, 676, 918, 776, 631, 1638, 529, 538, 519, 476, 2735, 271, 338, 630, 301, 984, 601, 15356, 538, 11061, 476, 1960, 274, 1916, 7628, 891, 5756, 1079, 4760, 4930, 5219, 547, 519, 2165, 968, 1910, 660, 4854, 7350, 27535, 835, 547, 5031, 519, 1761, 1764, 540, 21921, 5364, 5027, 538, 1979, 27370, 1670, 3156, 630, 306, 5414, 321, 1023, 7288, 543, 4787, 1779, 320, 476, 3192, 279, 264, 543, 519, 824, 547, 3142, 909, 922, 10083, 538, 519, 2797, 7521, 630, 21659, 4802, 476, 3192, 280, 1040, 1635, 519, 476, 2735, 271, 338, 267, 10991, 7350, 729, 3989, 607, 968, 1492, 10282, 540, 5841, 3029, 540, 1272, 892, 630, 295, 984, 558, 476, 2735, 271, 1070, 855, 621, 849, 729, 2808, 24190, 547, 968, 321, 1470, 30261, 892, 676, 930, 3744, 630, 13051, 1676, 543, 590, 1143, 712, 476, 1220, 276, 1040, 4438, 519, 476, 1960, 271, 338, 267, 1247, 968, 9188, 793, 532, 10991, 6675, 892, 630, 305, 1177, 3149, 476, 1220, 271, 264, 2968, 513, 1455, 2259, 6211, 1382, 2523, 538, 519, 2475, 267, 519, 2361, 540, 10894, 4702, 729, 6932, 630, 289, 320, 13704, 1696, 620, 269, 476, 1960, 271, 1040, 3245, 513, 3140 ]

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

[ 2780, 269, 595, 19897, 19306, 18906, 687, 689, 3025, 593, 519, 4541, 269, 1656, 2094, 596, 3442, 547, 4585, 621, 689, 707, 1753, 267, 610, 707, 5604, 2780, 267, 1946, 711, 1210, 519, 1655, 25319, 18297, 3103, 1774, 547, 1118, 707, 1544, 4422, 5347, 286, 0, 6944, 757, 630, 1001, 275, 910, 476, 4037, 279, 264, 20597, 760, 547, 1543, 454, 305, 1933, 16390, 476, 1001, 275, 454, 14483, 4528, 585, 476, 3066, 5437, 476, 1001, 280, 547, 4266, 630, 17739, 539, 476, 2918, 2904, 476, 1708, 271, 693, 476, 2537, 281, 2764, 994, 20969, 1700, 272, 29517, 4341, 281, 7664, 454, 1103, 713, 10406, 1765, 323, 6235, 3926, 814, 519, 1482, 2495, 607, 538, 4341, 476, 8064, 540, 519, 8752, 27990, 11621, 16390, 8807, 690, 1769, 1797, 513, 1769, 1031, 547, 2087, 519, 26149, 540, 519, 4155, 538, 2013, 540, 20893, 267, 6777, 6420, 267, 5230, 4764, 610, 513, 7452, 7088, 23584, 2775, 1797, 513, 2212, 2775, 540, 519, 2186, 5219, 547, 538, 519, 8752, 27990, 11621, 16390, 4877, 1046, 532, 1769, 1797, 513, 18736, 1769, 540, 519, 2186, 5219, 547, 538, 519, 8752, 27990, 11621, 16390, 269, 704, 1675, 540, 14334, 1797, 1765, 263, 320, 264, 1022, 942, 1282, 519, 3781, 267, 610, 6357, 264, 1022, 824, 942, 950, 972, 568, 13385, 21765, 547, 11904, 513, 1268, 21039, 538, 4158, 7802, 20559, 1043, 693, 513, 3845, 540, 476, 1911, 15432, 269, 9616, 476, 272, 12991, 697, 568, 3989, 538, 519, 9218, 269, 9616, 476, 273, 269, 2467, 616, 1100, 7222, 8847, 585, 519, 5301, 540, 10406, 476, 272, 540, 3487, 476, 1724, 540, 519, 8241, 10003, 16390, 269, 1452, 8847, 616, 2838, 585, 519, 5301, 540, 519, 29517, 3652, 8659, 538, 713, 10406, 269, 0, 296, 3333, 4512, 1744, 10098, 281, 8277, 325, 631, 3188, 548, 540, 519, 5101, 454, 7628, 519, 5545, 13567, 540, 2494, 577, 22202, 267, 621, 16219, 1082, 3255, 585, 1762, 3744, 945, 1616, 547, 8415, 713, 12733, 269, 1772, 327, 4512, 1744, 10098, 25868, 519, 8317, 267, 543, 609, 7616, 689, 519, 2782, 12080, 540, 15875, 3567, 267, 646, 8547, 5149, 476, 278, 4029, 267, 513, 6211, 543, 3114, 13137, 1382, 543, 1646, 269, 1261, 25945, 519, 6505, 652, 8186, 689, 3567, 547, 2932, 1480, 6901, 267, 2919, 11164, 4577, 20575, 23038, 267, 543, 7318, 6211, 543, 3114, 9604, 563, 20751, 513, 1906, 1296, 267, 646, 6385, 6172, 5523, 519, 16034, 267, 2469, 689, 18279, 547, 4937, 585, 519, 15875, 5545, 8136, 269, 3571, 1764, 543, 1379, 31083, 611, 15735, 1010, 3864, 11218, 267, 8277, 325, 631, 3188, 548, 269, 2991, 519, 2112, 267, 646, 535, 8898, 1010, 2669, 267, 855, 519, 31835, 729, 2111, 547, 12398, 1864, 269, 1717, 267, 646, 7858, 7007, 12046, 543, 729, 2760, 4547, 547, 5126, 563, 296, 3333, 4512, 1744, 10098, 281, 8277, 325, 631, 3188, 548, 540, 519, 5101, 568, 513, 12092, 1759, 593, 3616, 817, 1881, 6054, 1336, 538, 519, 2817, 19964, 543, 19475, 10029, 269, 1452, 616, 6054, 689, 519, 31835, 267, 10787, 5101, 5607, 16710, 4741, 267, 772, 2529, 269, 25220, 15051, 267, 918, 4725, 822, 657, 330, 2782, 9197, 1307, 23632, 267, 543, 6054, 602, 15068, 676, 4960, 538, 19519, 269, 0, 763, 1480, 1560, 32307, 6786, 1169, 942, 1945, 4422, 4636, 269, 634, 5464, 540, 891, 6786, 568, 540, 1898, 2956, 1317, 621, 11151, 3441, 543, 17522, 1369, 519, 1560, 269, 769, 713, 2376, 596, 666, 1224, 811, 827, 519, 6786, 519, 1560, 15920, 950, 621, 19330, 1978, 8324, 563, 9213, 267, 1082, 1004, 3548, 14432, 3536, 543, 9268, 267, 865, 621, 568, 3592, 7543, 547, 2743, 519, 5227, 3232, 27108, 540, 1898, 8324, 585, 1697, 8647, 269, 5047, 267, 1034, 2413, 2732, 1036, 6036, 2014, 6171, 10638, 563, 1432, 4523, 547, 707, 1560, 950, 596, 3668, 8324, 888, 2026, 6045, 676, 7189, 267, 3668, 540, 6171, 6981, 5932, 513, 3501, 2666, 585, 3676, 269, 769, 824, 1913, 267, 6171, 10638, 5540, 4105, 3252, 538, 519, 1560, 563, 309, 527, 7530, 7119, 538, 1142, 1367, 5114, 1369, 519, 1560, 267, 543, 950, 621, 19330, 1022, 540, 519, 1898, 8324, 267, 6494, 9490, 6786, 547, 2628, 3007, 563, 341, 9559, 10638, 1107, 25824, 2209, 454, 2080, 616, 2947, 1455, 6171, 10638, 2512, 10620, 832, 912, 272, 269, 15434, 22486, 15174, 5023, 454, 529, 2404, 609, 10638, 540, 6171, 645, 267, 2523, 10775, 1993, 15442, 514, 630, 289, 273, 1070, 562, 13519, 514, 630, 289, 274, 264, 543, 6171, 645, 1321, 269, 898, 849, 6920, 519, 3668, 540, 13058, 543, 4401, 269, 29618, 15174, 616, 1455, 538, 3543, 12579, 269, 16202, 811, 13687, 267, 5798, 267, 27966, 267, 804, 4461, 543, 23690, 9094, 267, 610, 16872, 563, 10144, 945, 798, 711, 3548, 5779, 1058, 3548, 811, 21378, 2812, 267, 22053, 267, 30637, 267, 12015, 14274, 267, 28140, 877, 543, 669, 731, 269, 21561, 6981, 540, 6171, 595, 267, 865, 602, 519, 4401, 568, 3362, 12842, 883, 519, 1560, 269, 634, 4999, 540, 891, 3536, 609, 22282, 267, 22648, 267, 28471, 31884, 267, 2699, 14723, 267, 543, 1866, 563, 273, 269, 30919, 543, 4552, 2530, 454, 4322, 2589, 5815, 602, 519, 1560, 19330, 13058, 267, 6171, 645, 278, 543, 3282, 19729, 8324, 630, 338, 20107, 538, 3170, 1070, 26759, 8324, 513, 267, 667, 267, 661, 543, 918, 269, 4552, 2530, 568, 2047, 1644, 547, 16283, 13058, 269, 8899, 2157, 540, 4401, 610, 4401, 10638, 5540, 519, 7067, 540, 16398, 267, 3819, 2960, 267, 30919, 267, 2699, 9634, 543, 4158, 20015, 2478, 563, 2252, 596, 3548, 513, 2603, 540, 5798, 267, 596, 949, 1995, 2042, 609, 519, 2157, 540, 6171, 645, 278, 267, 607, 519, 3940, 538, 5798, 29620, 713, 6171, 269, 16202, 811, 13803, 267, 10808, 267, 22481, 5452, 267, 2898, 9274, 267, 10683, 2472, 267, 25636, 267, 17228, 267, 678, 5684, 11241, 543, 20397, 563, 274, 269, 2699, 9634, 630, 659, 928, 264, 593, 1010, 1750, 4060, 267, 7916, 543, 25427, 338, 454, 659, 928, 950, 519, 1560, 19330, 1898, 9761, 7408, 543, 8324, 589, 543, 667, 269, 891, 1507, 15649, 18613, 1507, 521, 2931, 609, 7381, 578, 267, 543, 3006, 789, 616, 865, 11213, 602, 835, 666, 15991, 5706, 519, 31112, 547, 4894, 873, 563, 24965, 576, 6981, 540, 15459, 543, 1098, 9600, 543, 3548, 811, 2635, 9600, 269, 16202, 3165, 267, 30485, 5452, 267, 10808, 267, 30646, 543, 9267, 22756, 269, 14856, 17436, 267, 6653, 12277, 543, 2699, 18717, 547, 2333, 519, 1377, 540, 6171, 589, 538, 519, 1560, 563, 275, 269, 22210, 1231, 14815, 267, 21422, 543, 31018, 538, 519, 7916, 543, 7953, 454, 2252, 596, 723, 8068, 891, 2589, 267, 621, 568, 2693, 602, 3668, 540, 645, 8324, 267, 2523, 8324, 645, 277, 267, 645, 280, 630, 325, 4301, 3679, 264, 543, 645, 1321, 563, 1607, 5540, 519, 8229, 30804, 538, 519, 2960, 267, 543, 3123, 4965, 267, 9854, 267, 25874, 267, 17350, 543, 17441, 19261, 269, 634, 3070, 568, 547, 3548, 607, 32651, 267, 22156, 267, 5388, 267, 5798, 543, 3165, 563, 276, 269, 595, 1090, 1186, 543, 20585, 1928, 538, 519, 3952, 543, 7953, 454, 4322, 2589, 950, 707, 1560, 19330, 11379, 267, 7513, 543, 13101, 269, 1403, 596, 3323, 3257, 588, 1066, 6681, 543, 588, 1066, 6681, 3635, 267, 713, 949, 581, 519, 2601, 1946, 519, 1560, 19380, 1804, 5666, 540, 6886, 543, 1216, 19729, 8324, 267, 971, 607, 6171, 645, 563, 763, 2157, 540, 1216, 19729, 8324, 6749, 607, 513, 1267, 540, 7050, 24852, 269, 1684, 711, 16718, 707, 15904, 282, 782, 596, 723, 547, 798, 568, 2333, 519, 6981, 540, 20397, 267, 6328, 601, 22756, 267, 30646, 267, 22481, 267, 10027, 1845, 267, 13212, 267, 22282, 267, 18812, 26258, 267, 22648, 267, 546, 28888, 542, 267, 22156, 563, 341, 9559, 10638, 1107, 2589, 454, 1103, 1840, 547, 519, 1657, 2589, 267, 649, 723, 7396, 824, 2042, 602, 666, 581, 3361, 676, 6171, 10638, 912, 341, 9559, 513, 10638, 454, 325, 520, 8982, 267, 4057, 3781, 5075, 267, 4057, 2960, 1950, 542, 543, 4522, 267, 11702, 14779, 543, 513, 4412, 3748, 547, 2068, 4386, 563, 3698, 11351, 540, 6171, 645, 454, 11900, 11211, 6981, 540, 6171, 645, 272, 3123, 20026, 267, 9854, 267, 4887, 8467, 267, 4965, 267, 29338, 267, 2597, 2530, 543, 2042, 609, 519, 2295, 543, 519, 9667, 8778, 563, 24791, 645, 273, 5821, 3123, 3750, 16698, 267, 2960, 3170, 267, 31329, 3121, 538, 519, 5023, 267, 2960, 16420, 543, 6553, 563, 24791, 645, 274, 10638, 5012, 547, 15677, 267, 3668, 540, 1648, 1377, 267, 3983, 7362, 267, 4160, 267, 21385, 267, 15499, 2042, 543, 3668, 540, 14031, 563, 2252, 519, 1560, 19330, 6171, 645, 276, 945, 616, 2693, 547, 1995, 513, 8781, 14815, 538, 519, 3952, 543, 7953, 267, 25574, 267, 9854, 267, 13487, 2855, 15219, 8926, 267, 519, 20882, 547, 12154, 527, 267, 543, 20026, 563, 24791, 645, 277, 10638, 3123, 20026, 267, 17350, 267, 2960, 2042, 267, 4552, 2530, 267, 25574, 543, 5714, 12802, 563, 2252, 519, 1560, 19330, 645, 1321, 2073, 799, 786, 4308, 609, 9854, 267, 13165, 267, 4965, 267, 2530, 540, 14031, 267, 4160, 267, 6553, 538, 519, 5711, 13570, 267, 543, 17441, 19261, 563, 24791, 595, 10638, 454, 515, 2718, 16398, 543, 18655, 267, 9224, 1076, 2644, 543, 14779, 267, 15319, 543, 22224, 10549, 267, 30724, 3878, 267, 17350, 543, 20015, 2358, 568, 4299, 563, 341, 9559, 667, 10638, 454, 933, 752, 839, 7633, 543, 3123, 678, 1157, 1115, 267, 1286, 625, 267, 8459, 10007, 267, 4887, 8467, 543, 4057, 10338, 540, 7513, 563, 9377, 11351, 540, 6171, 661, 454, 529, 2404, 609, 17350, 267, 4160, 267, 12680, 2042, 267, 8519, 16846, 525, 267, 7411, 3001, 543, 4509, 3666, 269, 0, 8702, 547, 707, 1753, 1565, 585, 11016, 476, 279, 628, 2904, 476, 1708, 271, 2336, 9213, 568, 513, 4871, 9702, 256, 1677, 13767, 24260, 713, 267, 649, 616, 2469, 547, 798, 1451, 827, 966, 292, 1554, 269, 7427, 519, 5295, 4812, 2630, 547, 1265, 856, 827, 713, 4090, 748, 1554, 543, 1287, 3442, 606, 2534, 602, 596, 786, 2972, 563, 3086, 4584, 689, 835, 4882, 727, 540, 519, 2238, 7396, 2630, 912, 268, 4438, 24918, 1004, 1185, 547, 32311, 269, 3194, 543, 1265, 856, 1018, 1142, 1268, 729, 13886, 547, 269, 1548, 1131, 596, 4413, 1034, 689, 1018, 596, 2972, 4189, 2221, 888, 268, 1411, 616, 513, 17199, 267, 945, 814, 15068, 519, 2112, 256, 3503, 513, 4484, 547, 707, 6068, 3283, 693, 1753, 547, 2995, 873, 827, 707, 1995, 543, 547, 15260, 675, 873, 602, 596, 616, 2922, 269, 1411, 4465, 1406, 581, 2111, 547, 1118, 621, 547, 519, 16873, 267, 855, 596, 1058, 581, 1753, 4166, 563, 268, 634, 3703, 6554, 1616, 547, 12235, 513, 5428, 547, 8661, 966, 292, 1554, 269, 1358, 723, 2322, 596, 538, 5279, 540, 1418, 2358, 621, 269, 1358, 616, 6236, 513, 8265, 5428, 269, 1548, 786, 596, 798, 286, 1548, 786, 596, 3548, 286, 1548, 2027, 2621, 786, 4755, 286, 1548, 23598, 786, 596, 991, 286, 6904, 2027, 14538, 666, 596, 16436, 286, 3503, 782, 540, 707, 2093, 1524, 267, 547, 1294, 952, 596, 666, 6133, 621, 547, 519, 2229, 269, 0, 305, 7342, 10361, 2433, 670, 8582, 645, 5723, 22494, 2759, 5351, 17138, 11243, 17345, 307, 12460, 9743, 3482, 14630, 1103, 713, 2073, 519, 540, 4901, 568, 1480, 6375, 32759, 3644, 630, 14549, 16332, 32759, 7384, 3926, 3644, 3738, 543, 18867, 5351, 630, 10907, 638, 1600, 16332, 32759, 15540, 1717, 2073, 519, 1445, 568, 3622, 593, 875, 9002, 2179, 15978, 1547, 15978, 568, 519, 2783, 602, 4386, 13604, 476, 272, 814, 1044, 7783, 609, 7486, 1547, 898, 16401, 525, 606, 1367, 521, 12046, 23476, 798, 621, 9585, 762, 585, 2309, 626, 5563, 547, 28117, 519, 1268, 543, 12492, 9944, 519, 2175, 2813, 676, 519, 3142, 1524, 12046, 1547, 634, 3644, 568, 6655, 998, 1560, 1714, 13228, 757, 3226, 2123, 5491, 1899, 2073, 21420, 5714, 543, 943, 718, 639, 11166, 7197, 540, 519, 1453, 609, 15978, 941, 7783, 676, 741, 7486, 2357, 881, 2218, 7472, 1547, 901, 4523, 1022, 1282, 6379, 610, 950, 12419, 1547, 769, 1958, 848, 519, 1166, 17026, 2135, 814, 513, 1360, 26009, 10194, 4452, 543, 568, 711, 593, 6646, 2073, 621, 568, 2009, 585, 1200, 547, 3468, 519, 13692, 5523, 6512, 720, 538, 519, 27042, 4586, 763, 536, 3326, 1460, 890, 324, 24406, 525, 29454, 689, 519, 1875, 15200, 521, 1899, 6408, 5314, 519, 1625, 1636, 660, 320, 998, 1082, 1973 ]

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

[ 12900, 267, 8710, 6329, 8451, 267, 799, 15237, 519, 1591, 17011, 543, 3976, 6146, 7103, 8659, 538, 519, 1216, 563, 1103, 519, 2013, 540, 3114, 3440, 770, 1216, 2126, 267, 835, 610, 811, 3114, 6878, 616, 3773, 547, 519, 3440, 770, 1216, 267, 2901, 2047, 610, 18549, 998, 14793, 3974, 267, 865, 602, 513, 6757, 5114, 3217, 1747, 602, 19754, 519, 5739, 12748, 7103, 543, 13596, 269, 1280, 519, 771, 26529, 540, 3440, 770, 1216, 267, 6878, 971, 607, 645, 269, 17645, 2073, 20841, 2073, 20841, 16755, 543, 1979, 665, 1938, 538, 2243, 269, 23520, 821, 771, 26529, 568, 849, 513, 1184, 1634, 689, 6704, 1216, 2126, 543, 666, 581, 1031, 547, 6146, 4551, 543, 8290, 538, 3440, 770, 1216, 269, 4595, 17645, 568, 18633, 267, 621, 568, 3622, 6383, 593, 3135, 689, 2011, 610, 5135, 538, 17645, 18402, 610, 676, 23735, 11868, 519, 2011, 609, 11158, 22311, 269, 25914, 710, 543, 20841, 16755, 616, 849, 1031, 593, 23593, 9635, 547, 21149, 6704, 1216, 543, 6146, 3543, 894, 4551, 543, 1082, 8290, 269, 15316, 1979, 665, 1938, 666, 849, 581, 1031, 547, 6146, 12748, 7103, 267, 4551, 543, 8290, 563, 23330, 566, 1510, 3440, 770, 1216, 5385, 454, 1103, 519, 29291, 267, 513, 3440, 770, 1216, 1062, 814, 1044, 4843, 585, 513, 8708, 6928, 267, 799, 1281, 711, 2154, 3440, 770, 1216, 5385, 1282, 5106, 543, 666, 4061, 798, 1510, 519, 14427, 3440, 770, 1216, 2126, 269, 1635, 1797, 540, 513, 5078, 7382, 6498, 543, 513, 7222, 23028, 543, 10398, 532, 1062, 267, 609, 513, 6190, 3586, 2179, 540, 3440, 770, 1216, 267, 6190, 6617, 585, 519, 2838, 15205, 2175, 540, 519, 6928, 568, 24458, 676, 23028, 1063, 519, 13688, 269, 634, 3440, 770, 1216, 568, 5645, 18385, 538, 519, 6928, 1510, 4947, 883, 3346, 609, 519, 7286, 1604, 267, 543, 1100, 21439, 666, 581, 20024, 269, 634, 6476, 609, 519, 1785, 12147, 9838, 6671, 8708, 6928, 267, 538, 799, 1585, 15205, 2665, 941, 8947, 267, 2982, 602, 713, 4244, 568, 1134, 14018, 269, 769, 1840, 547, 10992, 519, 16856, 6617, 267, 713, 2875, 5098, 849, 3177, 2963, 540, 24694, 3106, 538, 13076, 609, 519, 1699, 11745, 1242, 6042, 540, 25663, 3008, 4586, 268, 4139, 31845, 9257, 281, 11831, 770, 4826, 5004, 13482, 1547, 594, 19616, 267, 5507, 476, 1220, 276, 454, 268, 4168, 2725, 15590, 330, 839, 1547, 281, 5811, 540, 3440, 770, 1216, 2126, 593, 694, 6210, 532, 9635, 1547, 31297, 6953, 541, 7921, 267, 14502, 2160, 267, 5098, 267, 476, 1220, 277, 454, 268, 20913, 268, 3891, 514, 345, 670, 5255, 27346, 267, 4168, 2725, 15590, 330, 839, 281, 11831, 770, 1216, 2126, 910, 606, 7650, 1547, 769, 281, 5576, 858, 1299, 670, 2378, 523, 2073, 3143, 269, 476, 274, 270, 1220, 278, 454, 268, 15576, 10937, 19134, 580, 281, 5071, 540, 513, 8708, 6928, 585, 5106, 1510, 3440, 770, 1216, 5385, 1547, 17976, 693, 519, 5254, 294, 10554, 968, 10743, 2743, 12752, 892, 593, 5239, 476, 3066, 267, 476, 1001, 271, 693, 519, 2160, 540, 667, 7572, 7921, 7232, 1087, 523, 454, 268, 15576, 10937, 19134, 580, 281, 5071, 540, 513, 8708, 6928, 585, 5106, 1510, 3440, 770, 1216, 5385, 1547, 769, 281, 5729, 1504, 540, 519, 26676, 20761, 5980, 2073, 476, 1001, 271, 454, 268, 11137, 540, 519, 13482, 593, 519, 594, 19616, 3896, 454, 268, 13482, 593, 519, 16424, 543, 9615, 540, 11831, 770, 4826, 543, 20767, 9323, 689, 590, 4721, 6902, 8158, 5437, 476, 736, 267, 476, 1001, 271, 454, 268, 26954, 5013, 827, 3440, 770, 1216, 269, 630, 12626, 994, 268, 4937, 2376, 593, 519, 11831, 770, 4826, 13482, 609, 513, 3095, 547, 519, 2407, 1257, 630, 14457, 282, 4436, 994, 268, 4139, 31845, 9257, 4139, 13482, 585, 519, 6513, 543, 5004, 540, 590, 4721, 262, 11831, 770, 4826, 543, 20767, 9323, 630, 5408, 281, 1230, 6761, 1315, 11831, 770, 4826, 5004, 282, 2296, 994, 268, 575, 3326, 553, 577, 4621, 738, 532, 19709, 630, 14457, 282, 476, 6246, 737, 289, 264, 593, 519, 4367, 540, 16678, 2249, 538, 3440, 770, 1216, 630, 23389, 994, 268, 26954, 5013, 827, 519, 3440, 770, 1216, 630, 12626, 994, 268, 681, 2788, 9539, 528, 6975, 670, 6686, 3149, 10458, 281, 11831, 770, 1216, 910, 513, 11786, 5420, 269, 1714, 325, 523, 2041, 842, 584, 332, 14492, 454, 268, 28477, 1068, 700, 20044, 281, 3440, 770, 1216, 1062, 563, 268, 16423, 32184, 1284, 527, 17427, 518, 281, 12824, 24633, 540, 3440, 770, 1216, 7382, 9115, 538, 9635, 4586, 268, 968, 1805, 578, 25498, 892, 21279, 519, 7286, 5117, 1547, 0, 305, 4169, 543, 922, 2010, 454, 30547, 540, 7725, 454, 305, 4169, 616, 606, 14919, 540, 835, 610, 811, 6886, 4371, 1927, 676, 3114, 7554, 563, 293, 601, 1091, 1706, 543, 21247, 616, 519, 1034, 1455, 6886, 1336, 538, 7725, 563, 763, 3621, 1353, 540, 7725, 568, 1572, 4620, 14347, 563, 17780, 593, 519, 7154, 540, 5250, 1614, 2101, 2516, 540, 7725, 616, 3989, 5337, 15667, 267, 24348, 267, 543, 23009, 545, 563, 296, 326, 928, 748, 32520, 2443, 4396, 1881, 689, 29351, 543, 23419, 563, 306, 539, 21747, 32520, 2443, 519, 1267, 540, 18254, 540, 15998, 540, 7725, 563, 18404, 18982, 545, 32520, 2443, 4646, 856, 540, 4540, 7725, 18460, 973, 31051, 1436, 563, 15650, 540, 7725, 454, 296, 326, 928, 748, 32520, 610, 12729, 32520, 454, 3528, 7421, 519, 2557, 540, 1689, 538, 2837, 543, 2604, 689, 519, 2627, 2509, 519, 9703, 563, 18404, 324, 832, 267, 607, 789, 4866, 547, 519, 1482, 1826, 540, 2326, 3618, 568, 1500, 540, 563, 294, 9545, 2787, 568, 3152, 2282, 519, 18635, 543, 1447, 693, 519, 20337, 563, 24836, 6143, 31096, 267, 799, 568, 519, 1689, 538, 8904, 1871, 2687, 547, 519, 2527, 540, 1570, 267, 3947, 721, 1344, 827, 519, 2326, 538, 519, 3618, 779, 9703, 563, 10907, 573, 545, 7725, 616, 27537, 676, 513, 1164, 1543, 540, 21958, 630, 32483, 345, 543, 21688, 1091, 1706, 264, 909, 547, 476, 3199, 829, 1298, 563, 763, 1964, 568, 5258, 1851, 26459, 267, 12659, 23653, 267, 13101, 267, 4401, 12547, 267, 18654, 3092, 563, 4322, 7725, 723, 513, 14758, 1543, 540, 18219, 6886, 899, 4401, 543, 13101, 269, 9747, 267, 789, 616, 1447, 10053, 543, 616, 14402, 538, 7990, 982, 2596, 7725, 563, 4322, 7725, 13822, 519, 590, 658, 6712, 540, 519, 12933, 563, 18814, 547, 519, 4430, 540, 13339, 267, 15755, 29351, 3579, 338, 3728, 543, 1281, 711, 2095, 543, 3262, 2484, 2476, 563, 11947, 10239, 616, 4646, 540, 713, 1826, 540, 4224, 563, 11754, 7725, 602, 616, 2182, 267, 11741, 267, 7372, 543, 11259, 547, 29056, 563, 294, 3757, 924, 267, 21247, 543, 21688, 1091, 1706, 616, 6093, 1806, 563, 4322, 7725, 616, 4057, 538, 21958, 630, 12671, 476, 2412, 829, 1298, 5148, 3172, 525, 807, 1543, 568, 909, 547, 476, 2412, 829, 1298, 267, 543, 519, 6967, 568, 3262, 936, 4401, 12547, 267, 18654, 267, 26459, 267, 12659, 23653, 267, 11379, 3092, 563, 18814, 547, 1970, 21958, 1543, 267, 519, 2385, 1570, 540, 971, 7725, 3579, 338, 7444, 543, 3976, 267, 8928, 543, 19082, 2484, 2476, 269, 901, 2095, 543, 9023, 2285, 4473, 547, 6676, 9476, 563, 763, 4527, 540, 5230, 2609, 791, 11301, 547, 891, 7725, 513, 4158, 7990, 269, 3502, 1373, 1360, 2182, 267, 891, 7725, 616, 649, 9312, 5266, 3362, 563, 15368, 5306, 267, 575, 13741, 549, 543, 546, 11217, 924, 616, 6093, 1806, 563, 4504, 28424, 5337, 15667, 7725, 454, 2252, 29351, 3579, 338, 7444, 693, 1390, 17909, 267, 7777, 9274, 4646, 538, 519, 7725, 949, 581, 1360, 1804, 563, 22746, 7725, 616, 1572, 703, 28424, 7725, 610, 726, 583, 4577, 7725, 630, 324, 3052, 269, 21081, 924, 1916, 4322, 7725, 2408, 593, 519, 2627, 1152, 1310, 1373, 10575, 26661, 543, 3954, 24231, 563, 15761, 28424, 5337, 15667, 7725, 630, 299, 6072, 610, 26439, 545, 7725, 994, 268, 590, 5844, 9023, 540, 29351, 1175, 2630, 519, 2627, 610, 23419, 1657, 519, 2627, 2164, 538, 1507, 543, 5347, 9274, 538, 7725, 607, 4028, 9023, 11151, 16358, 1436, 267, 607, 513, 1267, 267, 971, 7725, 616, 5386, 3766, 11712, 563, 268, 6270, 7725, 616, 1572, 970, 28424, 7725, 610, 15027, 7725, 630, 324, 3052, 269, 5178, 5306, 1916, 268, 634, 1546, 764, 534, 20637, 538, 519, 4095, 4050, 1231, 983, 3148, 616, 540, 1666, 5306, 545, 5169, 563, 268, 9978, 7725, 2270, 513, 3152, 8167, 540, 2596, 27911, 267, 552, 3052, 269, 540, 4401, 267, 26459, 267, 610, 13101, 267, 543, 616, 3976, 16437, 518, 543, 18632, 538, 7990, 563, 306, 539, 21747, 7725, 616, 4646, 676, 12776, 2305, 267, 28051, 543, 735, 9146, 540, 21439, 563, 17798, 267, 789, 616, 30305, 610, 14404, 1881, 540, 8795, 11098, 525, 269, 7151, 281, 32498, 267, 32549, 3092, 563, 306, 539, 9323, 616, 513, 1267, 540, 3954, 644, 566, 630, 933, 1430, 532, 543, 11761, 264, 540, 782, 2010, 540, 7725, 563, 4322, 2010, 540, 7725, 3382, 476, 4037, 829, 1298, 540, 519, 3618, 779, 12933, 855, 2019, 636, 564, 29182, 19582, 1152, 476, 276, 829, 1298, 630, 20357, 789, 616, 2139, 1152, 538, 519, 5580, 851, 540, 519, 12933, 1916, 296, 576, 20024, 24348, 7725, 616, 1572, 11489, 610, 11489, 924, 269, 6489, 31398, 657, 1243, 21439, 616, 1572, 3138, 612, 563, 27039, 2390, 519, 7154, 540, 5250, 267, 24348, 7725, 616, 9286, 883, 912, 1889, 2559, 1227, 4646, 2443, 32498, 267, 598, 6921, 558, 4733, 267, 14680, 267, 32549, 267, 3138, 612, 563, 6716, 1227, 4646, 2443, 2520, 903, 518, 924, 267, 25879, 267, 14680, 267, 5755, 563, 17057, 1227, 4646, 2443, 14680, 267, 10300, 924, 267, 1494, 1662, 563, 296, 269, 11115, 1227, 4813, 539, 20767, 21747, 32520, 454, 5445, 616, 4646, 676, 7344, 8069, 899, 4881, 1216, 267, 2842, 267, 5836, 14768, 267, 4672, 267, 3092, 563, 288, 1066, 17675, 24348, 7725, 723, 811, 5070, 543, 8273, 21092, 5536, 543, 616, 2182, 543, 24338, 269, 1358, 1106, 519, 1655, 23854, 585, 15559, 899, 15780, 543, 19386, 269, 661, 3052, 269, 32498, 563, 26855, 650, 17675, 7725, 723, 811, 10036, 543, 616, 5386, 3766, 11712, 267, 29779, 267, 6140, 6650, 1889, 762, 630, 2865, 569, 1875, 268, 1602, 748, 610, 723, 1360, 6263, 22405, 1040, 1280, 661, 3052, 269, 10036, 7723, 543, 695, 2297, 616, 15866, 2415, 650, 17675, 563, 2862, 269, 5029, 1227, 4813, 539, 20767, 21747, 32520, 454, 763, 3788, 540, 2371, 543, 2831, 616, 12617, 896, 21439, 267, 543, 1813, 547, 3002, 543, 2604, 689, 936, 2391, 6106, 267, 741, 5888, 2242, 269, 15021, 543, 14680, 616, 1134, 8153, 1806, 563, 7656, 269, 6314, 1227, 4813, 539, 20767, 21747, 32520, 454, 12850, 5627, 6886, 18493, 919, 693, 519, 5023, 540, 20950, 610, 6070, 12647, 543, 2285, 4473, 547, 853, 531, 716, 2572, 543, 26106, 698, 2466, 525, 630, 24119, 657, 1080, 540, 18654, 2451, 936, 676, 519, 18654, 2173, 12089, 1216, 607, 621, 18493, 919, 538, 519, 11895, 23572, 1916, 27039, 593, 519, 2392, 7631, 766, 540, 7513, 1543, 610, 3327, 1543, 267, 24348, 7725, 949, 581, 1608, 3249, 748, 630, 3916, 9693, 267, 25879, 267, 12373, 558, 924, 264, 610, 3327, 17675, 630, 19254, 1916, 2419, 3971, 18567, 540, 20767, 21747, 32520, 454, 5445, 616, 14404, 1881, 543, 2874, 540, 1082, 6106, 610, 31324, 563, 5445, 3180, 519, 1034, 13181, 17027, 5638, 1813, 547, 519, 7436, 2451, 3297, 676, 1585, 2520, 26491, 630, 933, 1430, 3270, 267, 2842, 543, 1216, 2095, 264, 543, 6211, 2238, 630, 325, 1601, 2812, 1916, 5445, 616, 8093, 26448, 543, 723, 15455, 540, 2371, 543, 2831, 563, 4322, 7725, 616, 3622, 24338, 543, 1450, 1216, 547, 829, 3712, 622, 998, 873, 563, 763, 2262, 23009, 545, 1797, 2048, 4219, 540, 1106, 17483, 763, 5337, 15667, 543, 24348, 7725, 10929, 2168, 543, 3114, 2242, 1813, 547, 519, 3310, 540, 2837, 543, 2604, 4611, 538, 519, 5250, 540, 23009, 545, 7725, 563, 2691, 7725, 616, 7142, 1524, 547, 2539, 2157, 676, 29684, 3157, 610, 950, 25183, 29351, 8375, 998, 519, 12933, 2501, 538, 3346, 609, 519, 12933, 531, 7725, 267, 23009, 2670, 4386, 563, 1103, 519, 1184, 540, 23009, 1143, 538, 930, 7725, 9274, 610, 6886, 1205, 11231, 538, 6106, 610, 3515, 269, 6270, 606, 11460, 568, 1572, 1165, 2747, 610, 1899, 566, 563, 15919, 6886, 610, 2326, 540, 1114, 2516, 616, 11231, 883, 20367, 6094, 547, 5394, 6106, 269, 6270, 513, 2497, 568, 1572, 6512, 532, 563, 16435, 622, 267, 11634, 626 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2262, 968, 292, 5118, 2103, 892, 630, 292, 3766, 344, 696, 328, 268, 753, 1040, 1107, 1703, 616, 849, 519, 968, 29557, 8109, 4936, 328, 5608, 519, 12358, 926, 945, 2661, 538, 5527, 543, 9459, 543, 538, 602, 2489, 1858, 269, 769, 7262, 3127, 267, 972, 616, 519, 667, 4861, 320, 610, 667, 4861, 926, 945, 616, 5302, 27935, 689, 519, 13416, 2146, 563, 7049, 2045, 2257, 4667, 547, 30599, 4011, 622, 519, 3409, 602, 519, 27956, 1091, 616, 1360, 2673, 14077, 540, 519, 7642, 269, 6904, 5012, 721, 547, 3494, 602, 538, 1249, 267, 519, 27956, 1091, 616, 851, 540, 519, 834, 1015, 4503, 11031, 540, 5840, 4799, 763, 3095, 267, 811, 1344, 454, 1607, 960, 568, 538, 519, 1857, 6389, 454, 297, 320, 1100, 1965, 10540, 523, 7192, 1122, 597, 635, 550, 30213, 679, 6864, 652, 2376, 563, 312, 320, 1100, 694, 533, 4240, 523, 513, 10722, 611, 597, 635, 550, 926, 657, 513, 1609, 324, 1148, 6403, 1529, 334, 563, 4467, 906, 666, 711, 581, 3773, 547, 713, 2376, 1022, 811, 0, 30033, 277, 10648, 307, 4728, 476, 1839, 267, 476, 1001, 280, 454, 1103, 741, 1957, 3370, 538, 519, 4760, 3163, 267, 519, 2319, 4330, 2679, 519, 3965, 3926, 543, 741, 4566, 585, 4946, 547, 922, 10342, 267, 1610, 3820, 4080, 563, 14722, 723, 1044, 2324, 20406, 4724, 2679, 7061, 5904, 543, 5121, 267, 543, 723, 1500, 26058, 538, 1312, 2127, 538, 2487, 1296, 563, 3719, 835, 32485, 3815, 568, 519, 4070, 540, 7061, 3965, 3457, 269, 6270, 3457, 723, 1044, 3710, 267, 855, 2394, 1631, 267, 789, 723, 1044, 1932, 1804, 547, 2322, 593, 513, 13863, 267, 513, 10421, 585, 4052, 3156, 563, 1103, 713, 1007, 4674, 267, 519, 3173, 1867, 3384, 513, 7061, 3965, 3926, 602, 568, 711, 1152, 1507, 2614, 547, 3514, 593, 513, 13863, 267, 855, 568, 849, 2111, 547, 23074, 1239, 593, 3747, 563, 763, 3926, 568, 1360, 1507, 267, 5111, 476, 1015, 676, 476, 271, 269, 278, 30562, 4394, 543, 814, 606, 9642, 3337, 267, 899, 513, 18578, 2401, 821, 17711, 3046, 2443, 1279, 543, 6094, 609, 513, 711, 3481, 21083, 3337, 267, 609, 19141, 593, 2901, 1439, 563, 2005, 568, 1500, 540, 586, 1777, 8922, 9647, 990, 534, 611, 622, 609, 1507, 5666, 540, 683, 1328, 26606, 267, 799, 1106, 513, 13570, 563, 4322, 19659, 538, 2490, 3180, 513, 12627, 13570, 602, 20637, 2582, 22726, 17683, 1239, 1344, 630, 14706, 267, 835, 610, 1312, 1916, 2414, 7500, 519, 3926, 267, 519, 3173, 17991, 8955, 20512, 693, 621, 267, 4929, 22726, 547, 27043, 538, 519, 2036, 267, 799, 7142, 873, 547, 581, 12842, 2443, 1492, 12122, 849, 3361, 519, 22726, 547, 10836, 689, 519, 2036, 1310, 476, 4037, 6289, 846, 6948, 563, 7628, 519, 942, 1974, 950, 519, 22726, 941, 12842, 267, 519, 3173, 17991, 12242, 8955, 20512, 693, 519, 2036, 547, 8488, 519, 556, 655, 1120, 775, 540, 519, 22726, 585, 476, 1015, 6289, 846, 6948, 267, 799, 4847, 585, 593, 24683, 663, 23023, 540, 1239, 563, 7628, 519, 942, 1974, 950, 519, 22726, 941, 4371, 267, 789, 11478, 607, 12242, 20512, 2443, 2038, 543, 3735, 563, 2414, 1397, 602, 519, 3926, 729, 2965, 13936, 1239, 1344, 267, 519, 2319, 3379, 519, 5951, 10818, 540, 519, 22726, 1312, 1354, 543, 1310, 4859, 543, 1336, 873, 547, 581, 12303, 24240, 267, 2495, 789, 1869, 4371, 741, 4642, 267, 835, 610, 1312, 1533, 2443, 621, 1185, 711, 1044, 10032, 267, 799, 5921, 519, 3926, 729, 5963, 513, 7061, 3965, 3926, 269, 0, 2171, 11567, 519, 2360, 540, 6777, 543, 2825, 4632, 593, 519, 17909, 547, 799, 4779, 846, 521, 1678, 538, 6777, 267, 543, 519, 6708, 547, 799, 4779, 846, 4553, 538, 519, 13475, 540, 824, 1863, 8573, 4474, 4779, 846, 538, 519, 10239, 540, 519, 1016, 541, 8157, 2127, 540, 7187, 2865, 13785, 269, 1284, 7318, 513, 1505, 547, 9192, 519, 4632, 602, 1860, 6777, 2298, 630, 324, 3052, 269, 5860, 543, 21052, 264, 883, 513, 2582, 4756, 602, 568, 4443, 547, 2268, 538, 519, 2361, 269, 1284, 849, 6594, 519, 6777, 2175, 538, 519, 4832, 543, 5162, 9832, 540, 4955, 7992, 4779, 846, 269, 3689, 267, 649, 5340, 9756, 9382, 602, 7000, 602, 29855, 17909, 540, 4779, 846, 8519, 609, 2810, 6777, 2298, 267, 6777, 3178, 267, 15820, 267, 543, 2011, 2837, 269, 8921, 267, 649, 1985, 1031, 519, 589, 6390, 833, 1344, 21205, 630, 288, 2975, 264, 547, 3313, 519, 1655, 2203, 540, 29855, 3178, 267, 799, 8612, 602, 519, 1271, 4632, 941, 6777, 2298, 267, 15820, 267, 543, 6777, 2837, 269, 1280, 13009, 17000, 532, 2623, 267, 519, 1655, 2203, 3769, 2011, 2837, 1152, 269, 3204, 8973, 12119, 9832, 267, 5162, 9832, 1185, 14320, 1447, 6777, 982, 519, 4832, 9832, 602, 891, 1367, 4779, 846, 2451, 267, 855, 6777, 2298, 1705, 711, 8428, 269, 15788, 267, 938, 1007, 1505, 547, 4994, 6777, 2298, 630, 1877, 267, 1210, 513, 3846, 10309, 547, 2268, 519, 3196, 2838, 547, 2046, 513, 20533, 4779, 846, 3723, 1524, 538, 519, 6777, 547, 519, 3178, 540, 513, 4779, 846, 11640, 264, 2982, 9153, 267, 543, 649, 2303, 602, 2104, 2090, 540, 796, 326, 3634, 5162, 14498, 8495, 621, 2417, 563, 306, 852, 568, 835, 540, 519, 1034, 6654, 3344, 540, 5162, 267, 543, 621, 814, 1279, 1044, 2808, 835, 540, 519, 1292, 2188, 5935, 519, 5162, 14624, 540, 796, 326, 12885, 269, 5637, 7274, 630, 323, 3704, 264, 543, 2298, 630, 323, 3748, 543, 21052, 264, 540, 6777, 616, 1271, 267, 607, 789, 2047, 3310, 1426, 8244, 267, 519, 1648, 1942, 540, 6972, 267, 543, 519, 5322, 1063, 543, 1369, 12119, 9832, 630, 303, 1046, 518, 1696, 620, 1421, 476, 2735, 275, 282, 20707, 13704, 543, 20122, 2125, 267, 476, 2735, 280, 282, 645, 18365, 749, 1696, 620, 1421, 476, 1960, 271, 282, 590, 19508, 750, 1696, 620, 1421, 476, 1960, 273, 282, 623, 879, 2917, 1696, 620, 1421, 476, 1960, 274, 282, 21890, 514, 267, 476, 1960, 276, 282, 27405, 644, 1696, 620, 1421, 476, 1960, 278, 282, 17880, 565, 5459, 1696, 620, 1421, 476, 1960, 278, 282, 13643, 267, 476, 1960, 280, 282, 11831, 1696, 620, 1421, 476, 1220, 272, 282, 667, 262, 292, 517, 267, 476, 1220, 272, 282, 9652, 1696, 620, 1421, 476, 1220, 272, 282, 17939, 710, 1696, 620, 1421, 476, 1220, 273, 282, 590, 3530, 867, 267, 476, 1220, 275, 282, 1684, 20482, 1696, 620, 1421, 476, 1220, 276, 282, 667, 1380, 5435, 1696, 620, 1421, 476, 1220, 276, 282, 7313, 1961, 543, 631, 578, 520, 267, 476, 1220, 276, 282, 966, 1170, 7815, 1696, 620, 1421, 476, 1220, 276, 1040, 1452, 9422, 543, 2825, 2188, 616, 2219, 547, 1459, 513, 2178, 16496, 2604, 593, 796, 326, 12885, 2094, 811, 1648, 568, 3006, 6170, 950, 3001, 547, 3049, 982, 1018, 568, 15849, 23624, 689, 28041, 1426, 269, 634, 3601, 540, 519, 6777, 4268, 7494, 1312, 22883, 6053, 543, 9389, 958, 267, 543, 4096, 593, 519, 17888, 2175, 1282, 18254, 543, 519, 23009, 545, 3157, 602, 2253, 5612, 27502, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 282, 3647, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 15794, 267, 476, 1960, 280, 1040, 634, 2956, 540, 6777, 3382, 849, 9775, 1369, 519, 5162, 281, 6777, 3382, 1282, 4571, 547, 3735, 5162, 568, 3622, 811, 1271, 538, 2474, 540, 9019, 982, 2038, 5162, 267, 1317, 1282, 602, 1974, 540, 519, 1032, 267, 5162, 532, 796, 326, 12885, 616, 693, 741, 9803, 1560, 2783, 630, 30761, 731, 1696, 620, 1421, 476, 1960, 272, 1916, 291, 3704, 829, 694, 814, 1279, 1044, 519, 1034, 6594, 2460, 540, 6777, 538, 11050, 2090, 269, 634, 3178, 540, 519, 6777, 17569, 9775, 7494, 543, 568, 4299, 676, 1082, 2825, 2188, 267, 971, 607, 519, 4287, 543, 4222, 540, 17888, 12798, 267, 543, 519, 2208, 1106, 543, 3337, 540, 519, 10664, 269, 16176, 568, 5176, 2141, 4514, 538, 519, 1930, 982, 896, 6806, 666, 641, 625, 267, 607, 1000, 12127, 543, 8371, 1369, 519, 4104, 11677, 9991, 6777, 269, 769, 3735, 5162, 543, 5614, 267, 2705, 267, 6777, 949, 581, 4514, 538, 1016, 2275, 534, 4878, 2127, 607, 621, 5283, 1206, 5488, 538, 519, 1463, 24106, 540, 519, 1930, 2127, 630, 10497, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 31679, 328, 267, 476, 1220, 274, 282, 667, 262, 292, 517, 267, 476, 1220, 275, 282, 654, 1074, 2401, 1696, 620, 1421, 476, 1220, 276, 1916, 763, 2298, 540, 519, 6777, 568, 5310, 540, 1256, 3152, 2956, 982, 6777, 3178, 4805, 267, 607, 621, 5540, 519, 3178, 547, 799, 519, 2831, 16173, 269, 8899, 5860, 6777, 2488, 2370, 610, 1100, 1489, 267, 855, 607, 5860, 4679, 267, 811, 1489, 568, 3177, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 1879, 4974, 5162, 10069, 7497, 267, 29855, 3178, 568, 5310, 519, 2268, 540, 968, 324, 8997, 6777, 3178, 892, 602, 568, 14191, 547, 519, 3662, 781, 1448, 540, 2070, 267, 543, 621, 814, 5051, 6591, 10343, 1851, 3173, 4974, 5162, 14498, 630, 290, 1933, 344, 267, 476, 3192, 275, 282, 645, 684, 6773, 1696, 620, 1421, 476, 1960, 271, 282, 5576, 28704, 267, 476, 1960, 274, 282, 11831, 1696, 620, 1421, 476, 1220, 272, 282, 667, 636, 2632, 1696, 620, 1421, 476, 1220, 276, 1040, 1306, 606, 796, 326, 3634, 3268, 593, 519, 6777, 267, 513, 11215, 6241, 540, 11741, 539, 6777, 3029, 896, 922, 11876, 1993, 267, 543, 519, 3337, 543, 2450, 540, 713, 6241, 5673, 593, 519, 2298, 543, 2837, 540, 519, 6777, 267, 519, 1106, 543, 2450, 540, 519, 6777, 14848, 267, 543, 519, 3178, 543, 21052, 540, 9875, 6106, 1369, 519, 6777, 17569, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 634, 11215, 4390, 540, 519, 6777, 568, 5393, 4756, 281, 4195, 6777, 568, 5176, 2141, 1447, 10053, 982, 6777, 799, 814, 1044, 593, 519, 2666, 585, 930, 942, 1317, 23009, 2670, 4386, 865, 3533, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 282, 853, 528, 1188, 1696, 620, 1421, 476, 1220, 273, 1040, 16176, 568, 849, 3622, 811, 10053, 538, 519, 1930, 982, 896, 666, 641, 625, 630, 303, 9593, 1195, 1696, 620, 1421, 476, 1220, 273, 282, 31679, 328, 267, 476, 1220, 274, 282, 717, 1409, 534, 1696, 620, 1421, 476, 1220, 275, 282, 654, 1074, 2401, 1696, 620, 1421, 476, 1220, 276, 1070, 543, 607, 585, 6777, 3178, 267, 621, 568, 849, 4299, 676, 2842, 267, 5982, 267, 2837, 267, 543, 11195, 630, 10497, 2044, 1696, 620, 1421, 476, 1960, 280, 282, 681, 4141, 321, 828, 1696, 620, 1421, 476, 1220, 274, 1916, 7212, 6777, 3178, 568, 2653, 547, 2268, 267, 621, 568, 711, 2653, 547, 22945, 6777, 2298, 269, 4107, 2409, 616, 2864, 942, 21791, 585, 519, 2110, 5162, 2395, 543, 5924, 2154, 3937, 602, 568, 2352, 547, 3560, 610, 6023, 538, 519, 2361, 269, 2368, 540, 519, 2409, 1031, 4867, 3322, 267, 585, 1383, 267, 519, 946, 540, 513, 681, 4461, 27475, 11579, 668, 2678, 630, 320, 13409, 2389, 5792, 4496, 11425, 2966, 547, 581, 9141, 883, 519, 6777, 282, 21009, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1070, 610, 513, 1164, 6571, 11579, 668, 2678, 630, 320, 6094, 1166, 1563, 7893, 9133, 4448, 547, 606, 3167, 1098, 706, 1356, 282, 5576, 928, 20623, 7942, 1696, 620, 1421, 476, 1960, 280, 1040, 4033, 2409, 4125, 20857, 513, 7299, 14788, 538, 519, 6777, 17569, 543, 7893, 519, 4162, 540, 1142, 4494, 14350, 630, 303, 1408, 1889, 1512, 543, 5576, 928, 20623, 7942, 267, 476, 1220, 274, 1070, 7900, 13496, 4255, 630, 299, 836, 543, 26858, 267, 476, 1960, 276, 282, 19258, 3881, 543, 13153, 7720, 657, 267, 476, 1220, 271, 1070, 610, 7893, 6777, 21226, 5973, 757, 2901, 676, 2666, 1790, 523, 564, 7992, 16986, 630, 299, 1495, 6199, 1696, 620, 1421, 476, 1220, 277, 264, 610, 676, 10386, 543, 7766, 13621, 538, 519, 2978, 630, 295, 2788, 335, 10154, 543, 23520, 22828, 267, 476, 2735, 280, 1040, 7183, 540, 891, 7403, 2285, 513, 3728, 543, 693, 519, 1482, 942, 6325, 7447, 540, 6777, 2298, 267, 543, 621, 1131, 4061, 581, 4998, 547, 9192, 782, 519, 4162, 3769, 538, 6777, 2298, 630, 323, 3748, 267, 21052, 267, 543, 9043, 561, 8727 ]

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

[ 782, 519, 3476, 269, 769, 519, 1482, 1259, 269, 607, 609, 513, 2604, 540, 1932, 6550, 693, 519, 3289, 7949, 267, 609, 476, 1911, 3952, 540, 25652, 543, 513, 835, 543, 835, 27917, 628, 20878, 30979, 267, 896, 15028, 2175, 827, 29235, 29350, 6550, 2604, 568, 5833, 693, 519, 30979, 543, 513, 11166, 540, 827, 476, 18605, 17529, 513, 8792, 267, 18530, 513, 8880, 15191, 476, 15757, 3952, 543, 513, 7299, 15191, 476, 14530, 269, 621, 3217, 513, 1899, 540, 25652, 476, 6110, 3952, 538, 3259, 547, 2226, 602, 2604, 267, 602, 693, 519, 3289, 7949, 1590, 581, 2799, 547, 476, 15876, 6550, 30867, 791, 1601, 2225, 693, 8479, 560, 1144, 896, 519, 1459, 1062, 267, 952, 5126, 568, 547, 581, 2944, 547, 519, 4540, 23028, 2030, 269, 2311, 519, 3289, 7847, 593, 8549, 8265, 972, 568, 1631, 689, 9215, 302, 547, 1100, 6550, 3595, 2604, 269, 2755, 930, 540, 519, 8257, 779, 25652, 3515, 616, 8209, 476, 4335, 3952, 538, 3259, 269, 476, 1911, 6550, 3289, 7949, 2604, 593, 971, 513, 1899, 3947, 827, 17288, 6550, 693, 519, 30979, 267, 17579, 532, 689, 513, 835, 543, 835, 21144, 628, 20878, 30979, 513, 8880, 6908, 1100, 3952, 267, 610, 513, 7299, 6908, 29235, 32732, 3952, 269, 570, 339, 568, 6654, 267, 4061, 267, 602, 811, 9252, 619, 616, 1572, 585, 1765, 22764, 1131, 3411, 823, 269, 898, 1131, 849, 581, 513, 1390, 948, 547, 519, 8257, 267, 952, 519, 5216, 20878, 610, 519, 8938, 20878, 1292, 593, 8549, 8265, 941, 10736, 883, 513, 1164, 25774, 3595, 1292, 547, 581, 1031, 585, 3595, 5301, 1152, 269, 543, 269, 538, 2013, 540, 6595, 267, 547, 3049, 519, 824, 1292, 338, 269, 3245, 971, 513, 1292, 1223, 581, 5833, 513, 3289, 7949, 2604, 540, 476, 5611, 547, 476, 1220, 6550, 543, 513, 835, 543, 835, 28451, 20878, 610, 1079, 20878, 6908, 1223, 581, 1031, 267, 3079, 540, 513, 835, 543, 835, 3887, 12915, 20878, 610, 835, 543, 835, 21144, 628, 20878, 6908, 607, 693, 1459, 693, 782, 2053, 267, 543, 3006, 711, 607, 1082, 540, 891, 607, 616, 2556, 267, 1317, 267, 538, 2013, 540, 3595, 267, 2604, 1590, 581, 6854, 593, 865, 1082, 5195, 540, 1292, 338, 269, 1306, 14621, 1216, 2604, 281, 634, 3595, 8257, 540, 2480, 7949, 517, 568, 538, 519, 726, 697, 540, 513, 21471, 945, 568, 16957, 547, 798, 513, 13977, 676, 24239, 20356, 1870, 538, 513, 19939, 676, 555, 7398, 341, 20584, 4055, 269, 7324, 2104, 9283, 1590, 581, 22672, 19861, 513, 4859, 6007, 585, 519, 10794, 6202, 3595, 15372, 751, 25393, 1062, 269, 2311, 1459, 972, 616, 476, 11260, 2281, 540, 6007, 267, 547, 2226, 799, 3790, 1269, 4968, 513, 1032, 269, 589, 24362, 11578, 8704, 693, 3844, 22071, 1131, 849, 7494, 24390, 519, 8594, 17333, 9073, 267, 607, 519, 32302, 1131, 1287, 581, 10299, 936, 1079, 6191, 267, 3079, 540, 835, 269, 634, 1732, 547, 10018, 519, 3106, 540, 1272, 543, 3959, 267, 519, 3595, 7182, 1058, 646, 6905, 269, 16938, 333, 607, 547, 2061, 519, 2417, 552, 14431, 540, 3595, 10177, 1186, 282, 3595, 1965, 7870, 1058, 581, 540, 3656, 17185, 593, 782, 5656, 936, 1079, 2984, 538, 4463, 282, 3154, 9505, 32187, 1058, 581, 5116, 3544, 5656, 543, 1058, 581, 3362, 3015, 282, 3154, 11281, 4296, 1058, 581, 540, 4401, 543, 711, 1291, 282, 519, 1796, 335, 6559, 1062, 1058, 581, 540, 17185, 585, 8165, 11642, 538, 782, 5656, 811, 982, 1614, 2984, 538, 4463, 282, 849, 519, 7939, 540, 519, 5569, 532, 540, 3167, 12904, 865, 607, 547, 2061, 602, 1373, 2944, 538, 5656, 267, 10754, 267, 610, 10246, 903, 267, 8259, 538, 29077, 609, 606, 3921, 12099, 799, 1058, 581, 5293, 282, 543, 519, 4203, 31021, 519, 8257, 609, 519, 4087, 540, 782, 1164, 19581, 5653, 12904, 267, 543, 711, 4328, 621, 607, 547, 950, 543, 1141, 519, 2749, 10754, 616, 14324, 909, 610, 29572, 539, 267, 865, 602, 267, 538, 12343, 540, 711, 1373, 711, 1881, 267, 519, 8257, 949, 711, 581, 25997, 547, 979, 1896, 10945, 856, 540, 519, 1259, 538, 1931, 547, 3914, 513, 3595, 269, 2353, 891, 7840, 616, 1500, 676, 12751, 5261, 670, 269, 700, 565, 2401, 269, 945, 267, 849, 267, 10071, 958, 6585, 909, 585, 32649, 519, 1383, 540, 835, 1870, 6109, 538, 519, 2749, 799, 814, 8704, 606, 25581, 3595, 15372, 1062, 693, 922, 2030, 267, 543, 740, 591, 1206, 3870, 2406, 547, 519, 3246, 540, 7482, 585, 519, 552, 14431, 543, 3937, 540, 513, 3595, 6728, 538, 519, 7187, 851, 540, 519, 2749, 282, 519, 24223, 540, 3595, 5443, 547, 7390, 782, 12644, 693, 519, 1079, 26974, 637, 282, 519, 10380, 540, 3670, 3606, 3595, 15372, 10833, 282, 519, 6718, 540, 513, 5548, 4007, 1305, 282, 543, 519, 9836, 24422, 540, 5656, 543, 6306, 906, 676, 10492, 540, 519, 3595, 8257, 1282, 519, 1032, 269, 5565, 8536, 1079, 4627, 543, 8938, 32732, 971, 24422, 941, 1500, 267, 543, 476, 276, 3066, 711, 1182, 941, 6039, 269, 634, 1297, 540, 32302, 1282, 476, 5002, 273, 729, 476, 28510, 282, 3441, 547, 5656, 267, 1269, 1321, 267, 1960, 282, 9115, 267, 1269, 1240, 267, 26522, 269, 3199, 282, 6142, 6976, 593, 5656, 267, 1269, 1556, 267, 7176, 275, 269, 7367, 267, 593, 9115, 267, 1269, 1626, 267, 2412, 278, 269, 3199, 282, 2530, 1657, 6142, 593, 5656, 267, 1269, 21497, 269, 593, 9115, 267, 1269, 272, 267, 2568, 278, 282, 1871, 540, 3959, 3238, 267, 1269, 274, 267, 6321, 273, 267, 16020, 282, 6142, 3238, 269, 1269, 273, 267, 28883, 267, 20862, 282, 2121, 2530, 267, 1269, 272, 269, 279, 2420, 12544, 1360, 5386, 2594, 585, 12751, 700, 565, 2401, 543, 1010, 2367, 269, 2986, 519, 476, 28510, 11642, 476, 24487, 941, 16876, 547, 519, 835, 2679, 282, 476, 2420, 339, 269, 547, 6989, 1141, 3595, 3323, 282, 476, 6245, 547, 1448, 540, 5169, 269, 634, 1297, 540, 32302, 729, 519, 4102, 538, 519, 1686, 540, 519, 8977, 6497, 267, 543, 17288, 29350, 811, 982, 538, 547, 582, 269, 634, 2530, 267, 2705, 267, 729, 4130, 982, 538, 1022, 1032, 2094, 476, 6642, 279, 634, 8261, 3196, 540, 519, 8257, 568, 607, 5205, 281, 12751, 282, 13930, 8783, 282, 3061, 1622, 267, 3670, 282, 25652, 5443, 269, 3670, 7141, 282, 14903, 5443, 267, 3670, 282, 10256, 267, 5216, 1765, 20135, 267, 13977, 324, 697, 269, 634, 3937, 568, 607, 5205, 281, 10395, 1588, 3114, 2599, 543, 25652, 530, 6782, 267, 609, 1079, 24239, 20645, 13688, 267, 476, 272, 267, 1911, 3952, 540, 835, 20878, 543, 1079, 543, 835, 28451, 20878, 25652, 267, 1614, 20878, 5548, 4007, 1305, 267, 543, 13613, 17929, 513, 1079, 543, 835, 28451, 10759, 1899, 949, 581, 4448, 609, 513, 835, 20878, 1899, 547, 581, 1031, 950, 3114, 13688, 616, 25356, 2433, 4999, 3114, 9817, 543, 25652, 530, 30368, 630, 5976, 17288, 3766, 718, 517, 12718, 269, 25652, 561, 5417, 619, 267, 3092, 13776, 1614, 282, 1079, 268, 1817, 572, 25652, 530, 30368, 630, 5976, 3670, 3766, 718, 517, 9040, 322, 4169, 267, 3092, 13776, 1079, 282, 19666, 14903, 282, 3028, 14903, 282, 16706, 530, 30368, 267, 1614, 281, 8783, 779, 1207, 1375, 625, 267, 1079, 269, 634, 18114, 616, 4628, 9280, 609, 561, 5417, 619, 269, 9040, 322, 4169, 267, 1591, 541, 10612, 267, 1272, 24437, 543, 26797, 267, 3092, 269, 0, 307, 933, 324, 4779, 539, 619, 267, 17408, 324, 642, 19470, 540, 552, 523, 642, 14575, 679, 552, 523, 4779, 25005, 454, 288, 2551, 2861, 6476, 540, 4775, 543, 5256, 1482, 20967, 2385, 543, 1114, 20967, 2385, 10820, 454, 1607, 7634, 3379, 10656, 1482, 20967, 2385, 630, 18485, 4775, 1482, 20967, 543, 5256, 1482, 20967, 264, 543, 1114, 20967, 2385, 10820, 593, 1453, 779, 5626, 1134, 5630, 267, 15970, 2566, 267, 543, 1489, 538, 1126, 556, 2130, 269, 898, 729, 849, 12290, 2436, 12205, 1851, 1453, 779, 1134, 5630, 267, 15970, 2566, 267, 543, 1489, 538, 1126, 556, 2130, 941, 1114, 538, 519, 1079, 7622, 2010, 269, 4578, 941, 1759, 593, 513, 25422, 11347, 5619, 269, 631, 10248, 729, 1031, 547, 3986, 16726, 538, 4282, 4162, 1063, 1312, 2010, 540, 3885, 267, 4611, 538, 606, 25107, 3732, 540, 476, 5002, 10820, 630, 6246, 4775, 1482, 20967, 2385, 267, 476, 7367, 5256, 1482, 20967, 2385, 267, 543, 476, 4817, 1114, 20967, 2385, 10820, 264, 609, 15556, 1063, 476, 276, 268, 1240, 1296, 2025, 269, 2201, 1453, 779, 1134, 5630, 267, 2042, 538, 519, 2385, 30512, 2078, 267, 1373, 14126, 827, 519, 1126, 267, 610, 519, 946, 540, 6101, 543, 13016, 1489, 267, 1100, 1713, 3604, 941, 1336, 1063, 11299, 538, 1482, 20967, 543, 1114, 20967, 2385, 10820, 610, 585, 18971, 538, 1482, 20967, 543, 1114, 20967, 2385, 10820, 269, 3204, 8973, 835, 2460, 540, 15970, 2566, 267, 12077, 2042, 538, 556, 2130, 519, 1126, 267, 18971, 538, 1482, 20967, 2385, 10820, 543, 11299, 538, 1114, 20967, 2385, 10820, 4080, 811, 2042, 982, 741, 13413, 630, 15289, 338, 543, 11299, 538, 1114, 20967, 3885, 1040, 26681, 519, 12205, 1063, 1453, 779, 1134, 5630, 543, 519, 30661, 630, 8001, 532, 2566, 4632, 1070, 6862, 1346, 1063, 1489, 543, 519, 30661, 630, 8001, 532, 2566, 543, 1453, 779, 1134, 5630, 1070, 28209, 2059, 7622, 1826, 269, 634, 1100, 3604, 602, 941, 1336, 538, 713, 2551, 2861, 1353, 593, 1126, 4093, 7488, 540, 7622, 1826, 25495, 519, 2164, 540, 1991, 13753, 1759, 593, 13418, 5439, 269, 1452, 4681, 616, 4143, 547, 1920, 16293, 267, 9439, 267, 5480, 8387, 267, 543, 14519, 945, 3343, 1344, 593, 4008, 4763, 267, 15970, 2833, 543, 1126, 4093, 538, 1482, 20967, 2385, 3885, 563, 291, 17805, 7392, 281, 3194, 9137, 454, 26397, 4266, 281, 5412, 476, 272, 267, 476, 1001, 279, 454, 295, 564, 512, 6359, 1091, 577, 337, 3424, 16677, 698, 690, 773, 330, 588, 3881, 1990, 747, 4557, 798, 601, 632, 6632, 839, 577, 1952, 601, 6359, 651, 1865, 773, 936, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 536, 4883, 523, 646, 339, 715, 25005, 4133, 28580, 531, 613, 321, 1221, 630, 301, 25005, 1633, 679, 966, 5055, 663, 7967, 264, 751, 4714, 2544, 1066, 679, 751, 593, 1457, 4614, 684, 523, 269, 16677, 698, 690, 773, 330, 581, 334, 690, 339, 14255, 770, 552, 523, 1979, 329, 323, 14141, 513, 534, 646, 339, 6632, 839, 577, 1952, 601, 6359, 651, 3181, 520, 522, 758, 632, 12103, 1846, 577, 1952, 601, 6359, 651, 1865, 773, 1566, 632, 1768, 516, 514, 523, 8709, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 751, 581, 341, 867, 7967, 269, 4437, 329, 323, 571, 2102, 1990, 1638, 523, 15854, 522, 758, 579, 527, 323, 745, 330, 30448, 6359, 330, 2262, 523, 581, 334, 867, 324, 15505, 1566, 1990, 578, 601, 14598, 6632, 839, 577, 1952, 601, 6359, 651, 620, 338, 12103, 1846, 577, 1952, 601, 6359, 651, 4143, 773, 269, 16677, 698, 690, 773, 330, 536, 1221, 339, 281, 630, 272, 264, 6632, 839, 577, 1952, 601, 6359, 651, 2613, 331, 10402, 8709, 10686, 27688, 267, 5376, 26385, 577, 679, 2351, 27688, 593, 1457, 15605, 2131, 1566, 646, 339, 2520, 321, 1221, 8709, 1566, 17383, 5338, 267, 593, 1457, 342, 6359, 338, 679, 642, 768, 532, 267, 620, 338, 4364, 324, 2689, 2090, 1566, 593, 1457, 327, 3572, 324, 1768, 516, 514, 523, 282, 630, 273, 264, 4695, 328, 25612, 16781, 324, 1979, 329, 323, 571, 2102, 8709, 6632, 839, 577, 1952, 601, 6359, 330, 562, 633, 879, 630, 2690, 3518, 6359, 323, 571, 2102, 5148, 630, 274, 264, 1630, 2131, 15816, 2181, 6362, 523, 563, 763, 4760, 16677, 698, 690, 773, 330, 630, 303, 539, 698, 9609, 264, 6663, 547, 12954, 543, 1489, 519, 14046, 11407, 593, 1126, 556, 2130, 267, 2069, 543, 2866, 1369, 519, 10656, 1893, 1858, 630, 763, 13814, 543, 519, 674, 12661, 880, 3148, 1040, 16677, 698, 690, 773, 330, 1193, 1161, 547, 3565, 547, 519, 14046, 7521, 267, 855, 849, 13821, 547, 5818, 519, 1857, 7521, 593, 519, 1641, 540, 1126, 556, 2130, 267, 2069, 543, 2866, 269, 4475, 267, 7418, 786, 581, 24565, 12799, 593, 1312, 741, 14046, 20519, 543, 741, 1514, 10083, 269, 16677, 698, 690, 773, 330, 3091, 281, 630, 272, 264, 14046, 4930, 8989, 593, 12170, 267, 7811, 543, 3140, 1382, 538, 519, 2361, 540, 1126, 556, 2130, 267, 2069, 543, 2866, 267, 543, 2689, 2090, 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 ]

[ 269, 7736, 582, 28845, 14001, 30553, 540, 3733, 291, 6434, 12413, 17087, 27765, 26578, 2281, 269, 808, 269, 16332, 565, 269, 476, 14917, 267, 476, 6321, 279, 279, 1700, 6321, 280, 275, 630, 1220, 272, 1916, 298, 20760, 13403, 267, 715, 1421, 16653, 523, 14150, 267, 590, 269, 1299, 20568, 267, 962, 269, 808, 269, 5940, 3307, 595, 335, 294, 5027, 543, 4874, 16394, 28649, 1790, 8432, 1097, 339, 573, 344, 997, 3679, 5595, 3613, 8681, 539, 10717, 267, 6606, 267, 12954, 7131, 1556, 322, 263, 6629, 264, 1826, 476, 273, 27765, 26578, 1591, 840, 15479, 832, 543, 7131, 1556, 322, 263, 266, 264, 27765, 26578, 2281, 547, 3132, 1826, 594, 17692, 301, 269, 808, 269, 16332, 565, 269, 476, 14917, 267, 476, 26631, 272, 1700, 26631, 276, 630, 1220, 272, 1916, 1320, 5448, 268, 5825, 5414, 985, 7288, 267, 590, 269, 1696, 620, 269, 1473, 25934, 540, 1463, 21734, 2534, 998, 27899, 17167, 6438, 13364, 269, 3163, 476, 29720, 267, 476, 15150, 275, 1700, 15150, 278, 630, 1220, 272, 1916, 2171, 9684, 2978, 2818, 585, 3730, 5717, 543, 631, 269, 19681, 874, 1512, 585, 2565, 2542, 540, 519, 12377, 269, 8081, 539, 676, 14828, 689, 519, 12080, 540, 4065, 267, 9177, 267, 11846, 267, 3163, 543, 5303, 538, 3567, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 288, 330, 4275, 267, 590, 1421, 570, 8898, 320, 267, 918, 269, 1299, 18087, 880, 334, 267, 570, 269, 570, 3326, 6438, 13364, 281, 2565, 5946, 16046, 17916, 543, 9715, 12046, 269, 14844, 16332, 565, 476, 273, 267, 476, 277, 4037, 1700, 27151, 630, 1220, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 270, 3445, 277, 6021, 454, 1607, 2376, 568, 11855, 676, 454, 307, 3326, 6438, 13364, 476, 273, 543, 476, 275, 1114, 6053, 10038, 519, 1582, 3146, 2908, 531, 543, 15285, 540, 11983, 10260, 8849, 24888, 2281, 454, 1805, 655, 8426, 3194, 1299, 10657, 630, 1708, 273, 994, 24336, 6925, 630, 1708, 273, 994, 291, 641, 8533, 667, 274, 13805, 15202, 10970, 28179, 10856, 27131, 12263, 676, 5009, 570, 3326, 6438, 13805, 476, 275, 12159, 538, 15958, 2281, 454, 28053, 12280, 1299, 8376, 630, 1708, 273, 994, 303, 8824, 3194, 630, 1708, 273, 994, 20755, 532, 568, 3388, 281, 1764, 540, 1646, 267, 30333, 543, 27266, 11733, 593, 27104, 720, 3252, 538, 17256, 8778, 5563, 454, 300, 1075, 657, 531, 16332, 1108, 630, 1708, 273, 264, 0, 8368, 540, 9115, 912, 21581, 281, 7460, 294, 281, 4024, 634, 6196, 28404, 6435, 674, 697, 634, 1715, 27649, 888, 6195, 294, 281, 4024, 519, 2025, 6669, 948, 4339, 519, 1007, 11452, 888, 18550, 476, 2190, 568, 4139, 16515, 828, 17533, 4303, 269, 2290, 540, 519, 1034, 1271, 2645, 585, 519, 6604, 540, 713, 2068, 568, 519, 7460, 294, 6669, 269, 589, 2319, 540, 3744, 689, 2185, 2477, 786, 4166, 2253, 15388, 713, 6669, 538, 606, 8966, 2796, 269, 898, 568, 9709, 547, 1449, 2436, 519, 3075, 666, 3986, 519, 1560, 781, 23640, 1996, 519, 1007, 11452, 3968, 5046, 268, 866, 543, 824, 5563, 563, 20124, 281, 16671, 271, 5398, 23792, 1315, 17421, 281, 16671, 271, 5398, 23792, 454, 18550, 476, 2190, 568, 4139, 16515, 828, 17533, 4303, 269, 2290, 540, 519, 1034, 1271, 2645, 585, 519, 6604, 540, 713, 2068, 568, 519, 7460, 294, 6669, 269, 589, 2319, 540, 3744, 689, 2185, 2477, 786, 4166, 2253, 15388, 713, 6669, 538, 606, 8966, 2796, 269, 898, 568, 9709, 547, 1449, 2436, 519, 3075, 666, 3986, 519, 1560, 781, 23640, 1996, 519, 1007, 11452, 3968, 5046, 268, 866, 543, 824, 5563, 269, 3163, 12909, 827, 621, 563, 763, 1007, 1353, 568, 4397, 547, 4125, 11923, 543, 7189, 945, 723, 513, 2362, 1981, 540, 24931, 23197, 5563, 982, 519, 3328, 2551, 269, 634, 1353, 786, 849, 3382, 4587, 1004, 267, 1317, 789, 616, 811, 2693, 547, 723, 5906, 4539, 540, 11763, 3676, 563, 1432, 568, 713, 6669, 454, 6195, 294, 6669, 3568, 513, 18604, 8833, 540, 29901, 14385, 1756, 536, 990, 529, 267, 519, 1757, 894, 8665, 540, 834, 321, 990, 710, 21061, 2668, 898, 729, 3957, 1310, 519, 3943, 18117, 5505, 15751, 2836, 5471, 974, 543, 6682, 4068, 2871, 518, 514, 269, 769, 1082, 2477, 267, 1519, 6576, 267, 1453, 616, 18764, 538, 1200, 538, 519, 1101, 1032, 540, 1272, 269, 3163, 2798, 856, 602, 519, 6669, 568, 834, 338, 12522, 543, 10464, 267, 855, 2484, 689, 3501, 281, 621, 11151, 909, 547, 476, 2568, 260, 540, 19505, 2665, 538, 1453, 267, 609, 513, 2647, 2039, 540, 3928, 2066, 2477, 4799, 310, 728, 2039, 540, 4027, 454, 23777, 1227, 267, 10074, 948, 519, 1560, 1020, 12046, 1996, 513, 1808, 19800, 630, 321, 22160, 610, 3644, 1040, 634, 15116, 640, 540, 7460, 294, 568, 602, 621, 4679, 519, 1560, 781, 4187, 711, 1152, 1996, 519, 1757, 894, 8665, 540, 21061, 269, 20636, 3744, 723, 3370, 513, 3126, 540, 2090, 267, 519, 1034, 1271, 3932, 540, 799, 568, 602, 519, 4550, 2389, 21310, 17533, 6669, 11151, 827, 476, 1789, 260, 540, 782, 5563, 1369, 519, 1101, 1032, 1310, 12674, 269, 901, 4806, 849, 10039, 547, 8290, 563, 763, 968, 332, 4275, 31397, 892, 4681, 540, 519, 7460, 294, 6669, 723, 1044, 22309, 267, 855, 513, 2689, 3370, 676, 14959, 538, 476, 1001, 275, 11130, 602, 519, 6669, 4389, 782, 2275, 1021, 9019, 538, 1453, 630, 6011, 1197, 267, 621, 8612, 602, 519, 1377, 540, 2139, 2963, 729, 1970, 1040, 589, 476, 1001, 277, 2689, 3370, 676, 634, 22720, 297, 729, 811, 2318, 267, 855, 11329, 547, 519, 991, 585, 1007, 12007, 1382, 563, 7712, 1287, 267, 519, 4791, 2963, 585, 7460, 294, 781, 2640, 814, 22541, 269, 25124, 626, 631, 8811, 2967, 4880, 20660, 540, 519, 2160, 540, 715, 6359, 332, 1122, 523, 6481, 4741, 4330, 519, 2360, 540, 519, 6669, 593, 12046, 269, 4340, 547, 1864, 267, 519, 7460, 294, 6669, 666, 581, 6854, 9800, 538, 1480, 2960, 585, 1896, 3275, 269, 898, 838, 2720, 711, 1152, 519, 1808, 3965, 540, 4761, 2281, 1996, 21061, 269, 12207, 3409, 602, 621, 22262, 4761, 2281, 538, 2489, 585, 513, 1279, 942, 269, 4880, 20660, 543, 1010, 9164, 1572, 713, 7613, 834, 10177, 1441, 12046, 1701, 4256, 476, 1001, 279, 19747, 1353, 1336, 7460, 294, 12674, 1223, 2149, 1996, 22887, 18050, 5835, 8611, 3644, 563, 300, 8811, 2967, 4880, 20660, 543, 1010, 26393, 693, 519, 2160, 540, 18603, 267, 5345, 13370, 657, 717, 3554, 732, 961, 657, 267, 723, 13175, 513, 1353, 538, 10255, 547, 1397, 2436, 519, 7460, 294, 6669, 6971, 519, 11841, 540, 1585, 5563, 538, 519, 11361, 269, 589, 2147, 1353, 568, 9709, 585, 519, 13814, 563, 763, 1007, 2090, 941, 2966, 1354, 519, 1007, 11452, 7153, 269, 4880, 20660, 11099, 519, 1699, 6855, 786, 948, 12260, 519, 1761, 540, 519, 7460, 294, 6669, 538, 3152, 1469, 563, 14722, 689, 519, 2160, 6481, 4741, 7780, 516, 19816, 267, 519, 2160, 540, 24332, 630, 16269, 786, 1449, 519, 7145, 540, 7460, 294, 538, 7189, 264, 543, 519, 2160, 540, 1401, 2678, 630, 16269, 786, 1449, 519, 6669, 538, 519, 11361, 264, 8678, 4880, 9996, 543, 717, 3554, 28328, 657, 563, 11900, 18944, 676, 519, 1383, 540, 4880, 9996, 267, 3744, 689, 519, 4436, 7665, 23851, 4659, 1767, 789, 1131, 2932, 741, 1382, 609, 519, 7589, 540, 1072, 4600, 543, 519, 11361, 269, 898, 786, 946, 513, 16220, 9168, 6669, 602, 814, 711, 2943, 1044, 9516, 585, 31331, 1996, 21061, 563, 292, 32642, 12551, 267, 606, 6375, 6048, 693, 519, 2160, 540, 17842, 267, 5143, 3163, 538, 513, 16555, 602, 519, 6669, 786, 4440, 711, 581, 2111, 547, 4628, 4308, 609, 519, 1007, 11452, 269, 1809, 1034, 2693, 1352, 786, 581, 2111, 547, 11574, 922, 1764, 593, 3425, 269, 634, 11285, 7074, 602, 1352, 9887, 1281, 711, 2247, 3478, 18764, 563, 28082, 676, 1888, 454, 9202, 267, 519, 3390, 540, 1533, 14261, 540, 519, 6669, 786, 581, 4956, 454, 14722, 2303, 4587, 1004, 949, 991, 3606, 25750, 454, 14483, 4808, 798, 711, 2154, 1973, 4255, 585, 16568, 17336, 268, 273, 538, 971, 22881, 454, 763, 6669, 6707, 25623, 519, 2504, 540, 12489, 543, 570, 2281, 267, 519, 3744, 1705, 711, 1265, 1022, 3978, 2427, 2360, 454, 12901, 545, 1355, 10552, 26736, 2742, 6496, 3502, 6435, 14904, 2201, 20996, 20764, 7976, 910, 1230, 7501, 2986, 6739, 24930, 454, 5522, 553, 2742, 1281, 711, 4688, 689, 11452, 593, 7344, 14910, 0, 8368, 540, 9115, 912, 21581, 281, 6468, 769, 1452, 5584, 687, 3657, 2859, 6145, 569, 1677, 22206, 518, 3245, 9839, 8376, 454, 18131, 538, 891, 22825, 616, 811, 2693, 547, 7985, 689, 2295, 2068, 454, 16449, 2324, 2021, 267, 1514, 4600, 267, 11923, 543, 10685, 6666, 4536, 616, 519, 1034, 4299, 676, 2295, 2068, 269, 10815, 1419, 982, 1866, 267, 6455, 9946, 543, 1483, 10040, 2156, 24329, 3068, 713, 1966, 563, 20124, 281, 12368, 629, 599, 2593, 1315, 454, 16449, 2324, 2021, 267, 1514, 4600, 267, 11923, 543, 10685, 6666, 4536, 616, 519, 1034, 4299, 676, 2295, 2068, 267, 2687, 547, 513, 1353, 602, 786, 581, 4843, 693, 606, 1977, 9839, 5948, 3621, 10554, 5437, 476, 1626, 268, 1240, 538, 15740, 563, 763, 1353, 19801, 811, 982, 476, 4792, 267, 1822, 2022, 5443, 641, 30167, 2021, 267, 609, 606, 3328, 2085, 540, 476, 8287, 1296, 269, 634, 4589, 6743, 693, 519, 476, 736, 1034, 1455, 23909, 543, 19040, 519, 5171, 538, 2474, 540, 9025, 1072, 267, 1519, 2188, 971, 607, 7296, 267, 2597, 267, 2168, 2534, 267, 2732, 267, 1973, 2604, 267, 8501, 543, 17509, 1973, 4006, 269, 15788, 267, 5176, 476, 1724, 260, 540, 782, 5171, 1185, 4057, 9025, 1072, 267, 543, 1896, 23909, 941, 2404, 609, 2799, 9025, 1981, 538, 2021, 563, 15253, 1563, 547, 2021, 538, 824, 22825, 912, 12892, 4600, 941, 476, 3607, 260, 811, 2693, 547, 723, 2295, 2042, 563, 268, 4825, 841, 6666, 4536, 910, 676, 476, 3451, 18336, 268, 6468, 538, 1072, 1416, 616, 476, 1626, 9077, 2523, 11923, 267, 2790, 1072, 4600, 267, 543, 1753, 2861, 15637, 269, 634, 11923, 1185, 513, 476, 1691, 260, 2362, 1981, 540, 3384, 9025, 2068, 630, 290, 13748, 1916, 763, 9803, 1981, 729, 585, 2021, 2324, 607, 1483, 10040, 2156, 24329, 543, 6455, 8069, 269, 4256, 1981, 540, 595, 13748, 729, 476, 2190, 260, 2539, 269, 1280, 5728, 2456, 910, 476, 1556, 260, 2539, 3379, 547, 2021, 538, 824, 22825, 269, 2353, 7194, 723, 1044, 14661, 585, 2085, 267, 29281, 4567, 267, 2069, 543, 5198, 563, 2108, 11847, 6974, 2510, 540, 930, 22825, 941, 693, 1164, 1981, 540, 9025, 2068, 267, 4352, 789, 2933, 5249, 538, 519, 1072, 5823, 610, 6743, 1310, 2550, 693, 1753, 269, 1656, 713, 568, 9670, 267, 1317, 891, 2021, 616, 4440, 1732, 5483, 827, 519, 1981, 2188, 585, 9025, 2068, 2223, 16261, 525, 1353, 2278, 16170, 324, 715, 686, 16331, 540, 667, 516, 343, 601, 2160, 538, 15740, 563, 6097, 547, 519, 4589, 267, 713, 1353, 5267, 602, 13567, 568, 606, 1271, 3815, 538, 2021, 781, 2295, 1072, 267, 865, 7189, 1058, 4440, 22679, 790, 827, 519, 3924, 547, 2697, 1004, 693, 1164, 1981, 585, 9025, 2068, 563, 28082, 676, 1888, 454, 13051, 1030, 2772, 3601, 540, 5283, 28853, 454, 4322, 1981, 2188, 723, 519, 16999, 2963, 3490, 269, 1358, 666, 581, 6766, 547, 2061, 2068, 454, 1607, 3095, 568, 2693, 1813, 547, 4551, 602, 2014, 10733, 2068, 269, 7216, 3744, 2907, 834, 338, 639, 4624, 257, 602, 789, 1223, 2014, 2860, 540, 519, 24647, 543, 7181, 454, 763, 6574, 5786, 538, 519, 1981, 540, 18337, 2295, 2068, 1851, 1199, 527, 2209, 454, 2710, 2758, 1656, 3057, 25070, 14840, 1676, 962, 5271, 2102, 344, 4427, 528, 990, 5589, 6817, 1215, 1677, 13363, 634, 9839, 769, 8865, 2986, 1772, 17057, 545, 9839, 8376, 454, 16498, 2534, 2337, 609, 18337, 2295, 2068, 0, 8368, 540, 9115, 912, 21581, 281, 3194, 31698, 1715, 15053, 995, 12186, 2986, 4414, 29133, 454, 10932, 2982, 1007, 5739, 2360, 540, 2699, 5779, 454, 2691, 2699, 5779, 568, 2007, 6479, 538, 519, 24026, 267, 4551, 3132, 513, 5739, 6219, 602, 8309, 547, 519, 1646, 540, 2295, 2068, 563, 20124, 281, 12368, 629, 599, 2593, 1315, 454, 2710, 4701, 543, 6484, 1235, 723, 1279, 19230, 602, 1932, 1454, 2699, 5779, 538, 519, 2732, 666, 581, 3983, 585, 2295, 1072, 269, 634, 1977, 9839, 5948, 15565, 4189, 10709, 16469, 899, 2960, 1652, 9269, 610, 3165, 1317, 789, 616, 2539, 538, 15459, 3170, 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 ]

[ 18416, 6611, 29203, 281, 744, 263, 273, 317, 301, 2020, 258, 634, 1931, 540, 519, 12673, 538, 519, 5044, 1281, 711, 2339, 563, 258, 2422, 16571, 542, 547, 4194, 713, 1966, 269, 476, 7531, 258, 538, 910, 703, 562, 454, 258, 856, 910, 1496, 1598, 6540, 3698, 1100, 290, 2945, 322, 4002, 525, 3799, 2187, 825, 1219, 25961, 4433, 889, 2187, 1038, 952, 7003, 4433, 889, 264, 285, 284, 562, 912, 2018, 2132, 1305, 8443, 11357, 7481, 1038, 2164, 815, 25961, 4433, 889, 266, 257, 271, 5602, 1038, 952, 7003, 4433, 889, 264, 2652, 476, 271, 610, 1016, 314, 6352, 4433, 889, 9984, 272, 316, 256, 6889, 272, 13426, 2018, 2164, 815, 2164, 26509, 542, 263, 3559, 704, 4433, 889, 1341, 834, 272, 27363, 1038, 2132, 2164, 454, 825, 2132, 1592, 263, 3559, 704, 2891, 27363, 2745, 3799, 334, 290, 2945, 322, 4002, 525, 263, 273, 264, 9239, 3698, 1100, 290, 2945, 322, 4002, 525, 273, 3799, 2187, 825, 1219, 25961, 4433, 889, 2187, 1038, 952, 7003, 4433, 889, 264, 285, 284, 562, 912, 2018, 2132, 1305, 8443, 11357, 7481, 1038, 2164, 271, 815, 25961, 4433, 889, 266, 257, 271, 5602, 1038, 952, 7003, 4433, 889, 264, 2652, 476, 271, 610, 1016, 314, 6352, 4433, 889, 9984, 272, 316, 256, 6889, 272, 13426, 2018, 2164, 272, 815, 25961, 4433, 889, 1341, 834, 272, 5602, 1038, 3116, 912, 2018, 2164, 272, 815, 1305, 8443, 7481, 1038, 2164, 815, 2164, 271, 26509, 542, 263, 29798, 272, 994, 13872, 1038, 2132, 2164, 454, 825, 2132, 1592, 263, 3559, 704, 2891, 27363, 2745, 3799, 334, 290, 2945, 322, 4002, 525, 273, 263, 273, 11723, 258, 476, 273, 454, 258, 476, 876, 476, 4905, 476, 1015, 630, 343, 1556, 2020, 258, 476, 274, 454, 258, 476, 1822, 476, 9826, 476, 18089, 476, 1911, 476, 6200, 630, 343, 9340, 264, 825, 692, 258, 1491, 12537, 912, 258, 672, 3403, 543, 3977, 616, 1114, 543, 3651, 519, 1267, 540, 4756, 547, 711, 513, 3403, 1016, 855, 547, 2164, 454, 258, 672, 519, 2034, 4806, 1305, 2115, 547, 581, 1039, 1927, 609, 1547, 684, 542, 476, 0, 258, 476, 9083, 273, 269, 5681, 540, 17848, 1677, 23516, 23030, 10606, 454, 258, 14168, 692, 258, 476, 11260, 275, 692, 258, 476, 14338, 692, 258, 5410, 547, 5903, 692, 258, 9523, 454, 258, 1411, 616, 2016, 519, 3597, 540, 513, 9352, 3529, 1141, 1142, 6843, 814, 513, 1871, 476, 271, 610, 476, 272, 269, 3962, 3597, 3562, 6122, 2378, 2619, 4564, 513, 9352, 1297, 4358, 609, 519, 1034, 1713, 3787, 780, 258, 1280, 1383, 267, 952, 519, 2619, 568, 476, 271, 9847, 476, 272, 9847, 476, 272, 9847, 476, 271, 9847, 476, 272, 267, 1287, 713, 1223, 2099, 476, 18733, 4905, 538, 9352, 267, 799, 568, 476, 1724, 563, 258, 1280, 782, 3762, 538, 519, 3529, 267, 2015, 519, 2338, 6719, 676, 519, 2619, 689, 519, 3597, 547, 602, 6978, 269, 17776, 519, 2040, 540, 891, 2338, 780, 258, 634, 1449, 2665, 616, 6383, 865, 602, 519, 2626, 13352, 538, 513, 476, 3953, 1532, 1080, 8870, 780, 8528, 258, 7151, 476, 272, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 2639, 258, 19243, 281, 476, 2420, 454, 258, 19247, 281, 630, 1911, 264, 1341, 630, 6200, 264, 1341, 630, 8099, 264, 1341, 630, 9340, 264, 815, 476, 275, 1341, 476, 276, 1341, 476, 277, 1341, 476, 278, 815, 476, 2420, 454, 258, 7151, 476, 273, 1384, 258, 18452, 281, 3597, 815, 1496, 271, 2639, 258, 19243, 281, 476, 271, 454, 8528, 258, 4790, 571, 6493, 1384, 258, 634, 1297, 540, 9136, 538, 519, 3529, 568, 538, 519, 2039, 1496, 272, 267, 476, 1911, 271, 14073, 258, 19219, 22183, 568, 476, 271, 610, 476, 272, 563, 692, 258, 901, 3070, 1568, 1384, 454, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 2040, 305, 2393, 2414, 8867, 2378, 4311, 267, 3597, 281, 8838, 1308, 314, 21698, 11966, 8079, 9847, 703, 1384, 1038, 1219, 25961, 263, 2017, 267, 1003, 2187, 2018, 1875, 29985, 2698, 454, 2018, 952, 711, 1225, 16000, 543, 711, 1225, 16192, 912, 3546, 1003, 24177, 284, 476, 272, 3097, 3546, 1003, 1923, 284, 1225, 22183, 454, 3546, 2698, 6834, 1003, 28329, 3546, 2132, 454, 27030, 2018, 1003, 24177, 284, 476, 272, 3097, 2018, 1003, 1923, 284, 1225, 22183, 454, 2018, 952, 1225, 16000, 912, 3546, 25961, 263, 2017, 16000, 267, 1003, 994, 2018, 952, 1225, 16192, 912, 3546, 25961, 263, 2017, 16192, 267, 1003, 994, 1038, 2698, 815, 476, 271, 454, 1038, 25961, 20172, 267, 476, 271, 994, 1038, 2132, 2698, 0, 258, 476, 280, 6924, 269, 23030, 10326, 6682, 10327, 454, 258, 10434, 692, 258, 476, 28906, 271, 692, 258, 476, 3374, 692, 258, 5410, 547, 5903, 692, 258, 9523, 454, 258, 1411, 616, 2016, 519, 3597, 540, 513, 9352, 3529, 269, 1284, 3888, 12514, 593, 519, 3529, 9136, 1141, 1142, 8254, 693, 513, 6843, 666, 6895, 922, 2385, 267, 3294, 267, 543, 922, 7525, 1453, 780, 258, 17776, 519, 5934, 1297, 540, 12514, 2877, 547, 6895, 782, 9136, 540, 519, 3529, 780, 8528, 258, 7151, 476, 272, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 271, 267, 271, 19885, 1638, 267, 271, 267, 271, 2639, 258, 19243, 281, 476, 272, 454, 258, 19247, 281, 2290, 8254, 568, 2614, 547, 6895, 782, 9136, 952, 5116, 607, 3254, 563, 258, 7151, 476, 273, 1384, 454, 258, 18452, 281, 3597, 815, 1496, 271, 267, 271, 19885, 1638, 267, 271, 19885, 1638, 267, 271, 19885, 1638, 19885, 1638, 267, 271, 2639, 258, 19243, 281, 476, 273, 454, 258, 19247, 281, 2311, 2547, 1079, 12514, 616, 2877, 547, 6895, 782, 9136, 540, 519, 3529, 269, 634, 1657, 3239, 2982, 835, 540, 519, 4570, 19383, 540, 8254, 13307, 563, 8528, 258, 4790, 571, 6493, 1384, 258, 634, 1297, 540, 9136, 538, 519, 3529, 568, 538, 519, 2039, 1496, 272, 267, 476, 1911, 271, 14073, 258, 19219, 22183, 2652, 476, 271, 7531, 258, 901, 3070, 1568, 1384, 454, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 1295, 23173, 5028, 290, 1478, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 13872, 1038, 1948, 1533, 568, 835, 540, 912, 1038, 1948, 476, 271, 910, 1225, 568, 2907, 16913, 454, 1038, 1948, 476, 272, 910, 1225, 568, 711, 16913, 267, 855, 666, 2307, 1126, 547, 2322, 513, 8254, 454, 1038, 1948, 476, 273, 910, 1225, 781, 2385, 568, 711, 16913, 267, 543, 814, 547, 2322, 513, 8254, 454, 1038, 7711, 331, 745, 6831, 5995, 263, 14085, 994, 1038, 1219, 25961, 263, 2017, 267, 1533, 2187, 2018, 1948, 596, 2141, 723, 519, 4781, 547, 2322, 513, 1007, 8254, 454, 2018, 1655, 815, 476, 272, 454, 2018, 952, 1225, 16000, 912, 3546, 1655, 6834, 25961, 263, 2017, 16000, 267, 476, 271, 994, 2018, 952, 1225, 16192, 912, 3546, 1655, 6834, 25961, 263, 2017, 16192, 267, 476, 271, 994, 27030, 2018, 1948, 1225, 568, 2907, 16913, 454, 2018, 952, 1533, 2652, 476, 271, 912, 3546, 6148, 815, 476, 271, 454, 3546, 952, 1225, 16000, 912, 7386, 6148, 6834, 25961, 263, 2017, 16000, 267, 476, 272, 994, 3546, 952, 1225, 16192, 912, 7386, 6148, 6834, 25961, 263, 2017, 16192, 267, 476, 272, 994, 3546, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 2018, 8640, 1533, 2652, 476, 272, 912, 3546, 952, 1225, 16000, 610, 1225, 16192, 912, 7386, 952, 1225, 16000, 912, 13376, 6148, 815, 25961, 263, 2017, 16000, 267, 476, 273, 994, 13376, 952, 1225, 16192, 912, 23351, 6148, 6834, 25961, 263, 2017, 16192, 267, 476, 272, 994, 13376, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 7386, 952, 1225, 16192, 912, 13376, 6148, 815, 25961, 263, 2017, 16192, 267, 476, 273, 994, 13376, 952, 1225, 16000, 912, 23351, 6148, 6834, 25961, 263, 2017, 16000, 267, 476, 272, 994, 13376, 1655, 815, 1295, 6357, 652, 267, 6148, 994, 2018, 8640, 1533, 2652, 476, 273, 912, 3546, 1780, 454, 27030, 2018, 2132, 1655, 28329, 1038, 2132, 25961, 20172, 267, 476, 272, 994, 0, 5035, 623, 19991, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1283, 267, 2451, 267, 5377, 267, 1318, 2187, 1038, 1582, 6745, 641, 815, 1283, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 12500, 18847, 815, 5377, 454, 1038, 1582, 16192, 815, 1318, 22562, 825, 1219, 17967, 7272, 19991, 4311, 2187, 1038, 10917, 815, 1582, 6745, 641, 3097, 1038, 1582, 6745, 641, 815, 1582, 16000, 454, 1038, 1582, 16000, 815, 1582, 12500, 18847, 454, 1038, 1582, 12500, 18847, 815, 1582, 16192, 454, 1038, 1582, 16192, 815, 10917, 22562, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 303, 19991, 568, 2715, 1345, 6745, 641, 348, 2715, 1345, 16000, 348, 2715, 1345, 12500, 18847, 348, 2715, 1345, 16192, 348, 4840, 8931, 5035, 10658, 14794, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 2073, 544, 2187, 1038, 1582, 269, 4580, 815, 1496, 454, 2018, 1496, 346, 9574, 14085, 267, 271, 16689, 2018, 1496, 346, 9574, 271, 267, 271, 16689, 2018, 1496, 271, 267, 271, 267, 271, 2639, 1038, 23378, 8931, 825, 1219, 1747, 7272, 19991, 4311, 28872, 272, 267, 328, 25814, 2187, 13872, 1038, 1780, 692, 335, 815, 623, 19991, 263, 271, 267, 271, 16427, 273, 267, 272, 994, 2745, 9638, 994, 335, 269, 8527, 622, 7272, 19991, 4590, 2745, 9638, 2020, 258, 533, 815, 623, 19991, 263, 271, 267, 271, 16427, 272, 267, 273, 2020, 3698, 2638, 318, 539, 2471, 10734, 15277, 4671, 6851, 7272, 773, 806, 16216, 272, 267, 324, 273, 2187, 825, 952, 552, 272, 610, 552, 273, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 8640, 552, 272, 1341, 552, 273, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 0, 258, 3487, 819, 6997, 1564, 692, 258, 8827, 454, 258, 589, 5569, 590, 540, 27608, 2296, 5022, 568, 2016, 269, 1284, 1616, 547, 15652, 713, 5569, 883, 607, 1082, 2694, 607, 2009, 865, 602, 1142, 4484, 5526, 538, 693, 1034, 835, 851, 267, 543, 2132, 513, 1592, 540, 9981, 8204, 519, 2450, 540, 891, 2694, 563, 7531, 258, 7151, 476, 272, 1384, 258, 18452, 281, 590, 815, 834, 629, 29582, 321, 659, 611, 1030, 1122, 1372, 6062, 329, 327, 330, 2993, 329, 4840, 258, 19243, 281, 1496, 280, 267, 278, 267, 279, 2639, 258, 19247, 912, 258, 634, 15652, 568, 834, 629, 29582, 321, 20403, 2580, 834, 3698, 1122, 1372, 2580, 834, 6062, 329, 327, 330, 2993, 329, 8487, 258, 901, 568, 513, 15652, 865, 602, 1142, 4484, 5526, 538, 693, 1034, 835, 851, 563, 258, 589, 15652, 899, 834, 629, 29582, 321, 659, 611, 1030, 1122, 1372, 2580, 834, 6062, 329, 327, 330, 2993, 329, 257, 568, 11234, 267, 1317, 621, 10943, 1080, 590, 883, 1447, 2694, 563, 692, 258, 8074, 1384, 258, 590, 786, 723, 3259, 538, 2039, 1496, 272, 267, 476, 4335, 14073, 258, 590, 786, 2874, 540, 27608, 2296, 5022, 18011, 320, 262, 547, 1412, 345, 10807, 1152, 563, 7531, 258, 901, 3070, 1568, 476, 2439, 454, 5035, 8827, 912, 825, 1219, 15652, 24248, 1564, 4311, 267, 590, 281, 1193, 264, 9847, 5903, 27776, 14158, 1038, 1293, 815, 31460, 1038, 585, 521, 538, 590, 912, 2018, 952, 521, 711, 538, 1293, 912, 3546, 1293, 314, 338, 316, 815, 476, 272, 454, 2018, 3116, 912, 3546, 1293, 314, 338, 316, 6834, 476, 272, 692, 1038, 546, 815, 31460, 1038, 20735, 815, 11713, 1038, 1376, 815, 476, 271, 454, 1038, 585, 1775, 267, 521, 538, 26246, 22829, 2187, 2018, 952, 521, 711, 538, 546, 912, 3546, 546, 314, 338, 316, 815, 476, 271, 454, 2018, 546, 314, 338, 316, 23785, 272, 454, 2018, 952, 546, 314, 338, 316, 2652, 1293, 314, 338, 14158, 3546, 1642, 546, 314, 338, 2639, 2018, 952, 7003, 5560, 264, 2652, 476, 271, 912, 3546, 20735, 6910, 9217 ]

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

[ 10741, 909, 547, 930, 1390, 5784, 540, 519, 4478, 1858, 1354, 1187, 333, 2454, 596, 1524, 883, 519, 3786, 2666, 1985, 547, 519, 32668, 543, 28677, 4856, 836, 5211, 269, 634, 5757, 803, 32752, 998, 3504, 15027, 4224, 267, 3056, 547, 606, 5863, 10977, 8559, 513, 7008, 540, 4627, 15432, 689, 519, 3786, 563, 1607, 568, 606, 5863, 16074, 7552, 543, 1134, 4502, 3257, 607, 513, 1259, 547, 6338, 3054, 547, 519, 22880, 27726, 5898, 540, 519, 14863, 1177, 836, 338, 563, 20911, 3633, 9215, 918, 301, 8582, 454, 21920, 281, 476, 1691, 5998, 630, 27987, 994, 11742, 281, 476, 279, 3108, 630, 7021, 9519, 5227, 994, 22706, 281, 5262, 2159, 1315, 6103, 476, 275, 268, 276, 630, 3147, 1800, 547, 519, 8241, 29303, 25397, 717, 15665, 3590, 1916, 303, 1046, 281, 18200, 517, 2817, 5244, 454, 5141, 657, 652, 16011, 281, 715, 518, 3419, 320, 454, 10111, 7457, 281, 3245, 715, 518, 3419, 320, 267, 2951, 5045, 7178, 2059, 715, 518, 3419, 320, 10003, 585, 476, 1704, 14790, 2394, 596, 3914, 4077, 2917, 779, 11206, 10003, 269, 12414, 2451, 543, 3136, 2059, 713, 4155, 585, 5111, 476, 277, 14790, 2394, 596, 3914, 519, 654, 690, 654, 690, 1286, 6288, 269, 634, 13009, 2212, 568, 593, 519, 9456, 2427, 540, 519, 15790, 1046, 267, 1985, 547, 606, 1344, 1129, 563, 4415, 856, 560, 4958, 3481, 7916, 519, 18533, 540, 4906, 630, 290, 2077, 334, 1234, 328, 264, 568, 513, 7986, 543, 4971, 532, 19506, 593, 519, 856, 12921, 16630, 540, 667, 8270, 267, 3854, 2749, 540, 519, 2622, 779, 21836, 2197, 267, 7033, 528, 700, 652, 324, 630, 292, 770, 7033, 528, 1040, 29740, 676, 519, 10582, 2103, 547, 1832, 519, 15866, 7826, 2551, 6126, 267, 19482, 547, 519, 1283, 540, 519, 7823, 593, 799, 621, 6763, 568, 513, 1390, 1995, 267, 4758, 596, 513, 6177, 779, 3750, 2070, 2059, 519, 5032, 543, 936, 519, 2749, 563, 763, 3802, 6238, 693, 4262, 1377, 689, 513, 1286, 6288, 693, 595, 2077, 334, 1234, 328, 16047, 267, 5101, 540, 667, 8270, 269, 634, 9897, 547, 519, 3490, 540, 519, 3802, 616, 22510, 267, 855, 1491, 513, 1286, 267, 1810, 1405, 11878, 513, 11332, 607, 519, 9897, 666, 581, 3833, 5906, 1813, 547, 519, 3982, 3668, 540, 2312, 4155, 3652, 543, 3908, 9920, 2866, 269, 11534, 5242, 519, 1286, 6288, 267, 519, 15309, 545, 11824, 1858, 814, 513, 1906, 24181, 799, 616, 840, 2739, 585, 513, 17552, 5371, 12899, 269, 634, 11824, 568, 2442, 609, 519, 17137, 267, 855, 1810, 1405, 2503, 1932, 1082, 6329, 607, 621, 781, 1369, 513, 6870, 15922, 269, 634, 3802, 3294, 568, 606, 1045, 580, 528, 908, 25047, 18214, 267, 12297, 1540, 2059, 519, 1259, 609, 9597, 1023, 18995, 519, 1272, 540, 2441, 269, 3245, 519, 3490, 596, 18214, 1472, 476, 4335, 3268, 563, 10666, 1614, 20453, 540, 519, 1259, 909, 972, 781, 513, 1804, 16822, 30965, 11128, 1141, 2533, 616, 4371, 593, 1271, 14026, 269, 3245, 1934, 267, 621, 781, 711, 2484, 547, 519, 21895, 693, 799, 1448, 596, 3580, 1265, 4906, 7555, 593, 1283, 540, 513, 1804, 8608, 543, 3168, 856, 2509, 667, 8270, 609, 1010, 7916, 2647, 1930, 269, 634, 5784, 689, 1934, 616, 10875, 267, 607, 596, 723, 513, 4971, 532, 2070, 1318, 909, 543, 1524, 519, 27726, 23795, 543, 936, 519, 2749, 3294, 563, 296, 917, 1018, 596, 2461, 3206, 256, 901, 568, 2469, 547, 581, 827, 513, 7552, 547, 18557, 1633, 269, 4270, 267, 538, 513, 2262, 267, 1100, 256, 4014, 594, 723, 1044, 547, 18903, 13738, 538, 18557, 1633, 267, 713, 568, 827, 606, 13476, 6213, 1379, 6728, 538, 12986, 602, 779, 3710, 3330, 513, 7823, 563, 6524, 2469, 547, 700, 1633, 828, 529, 267, 594, 8910, 2760, 1044, 547, 12986, 267, 1577, 4805, 4862, 540, 11272, 13738, 269, 634, 5397, 972, 538, 1250, 6263, 23934, 1286, 729, 4101, 547, 2161, 519, 2547, 607, 602, 6640, 621, 1185, 3323, 547, 6777, 538, 519, 2296, 11068, 4133, 543, 4797, 2429, 519, 1554, 269, 4014, 1100, 24928, 547, 6117, 538, 519, 6777, 267, 621, 779, 2356, 1044, 538, 513, 476, 275, 310, 291, 610, 609, 11800, 593, 269, 32010, 519, 10545, 267, 10464, 652, 4395, 8868, 5397, 23934, 594, 1223, 1265, 998, 606, 14542, 5251, 543, 4914, 2197, 568, 606, 1995, 711, 547, 581, 14406, 267, 2523, 538, 4789, 267, 1141, 18864, 4667, 547, 581, 1031, 547, 6117, 538, 519, 6777, 543, 519, 3003, 4155, 1062, 4667, 547, 9505, 1524, 693, 519, 1101, 20726, 540, 513, 6777, 4148, 820, 563, 3519, 8019, 267, 519, 2185, 543, 513, 3368, 5662, 5397, 267, 5828, 883, 513, 5722, 5662, 3043, 5679, 22976, 11878, 543, 693, 835, 1448, 621, 729, 6777, 532, 865, 2182, 594, 1223, 18923, 1294, 856, 519, 6885, 269, 898, 729, 513, 1390, 8323, 547, 6368, 3914, 519, 15678, 1510, 2348, 1236, 1342, 539, 593, 4672, 610, 1831, 4503, 538, 519, 21730, 4400, 4133, 563, 310, 1136, 909, 519, 1985, 1554, 267, 621, 729, 5863, 547, 1294, 519, 6777, 2275, 11474, 24781, 998, 799, 594, 8910, 26968, 5944, 9141, 538, 519, 4158, 269, 1703, 941, 10239, 267, 513, 10720, 543, 513, 8748, 4884, 4904, 609, 1793, 622, 8122, 539, 8075, 269, 14033, 2421, 267, 594, 729, 5143, 972, 729, 513, 8652, 3167, 1379, 6728, 1572, 11272, 13738, 269, 1733, 12241, 519, 5251, 729, 10077, 1042, 689, 5553, 540, 1793, 622, 5599, 267, 972, 729, 1100, 1379, 6728, 547, 581, 2938, 269, 5463, 4575, 547, 979, 593, 513, 4663, 540, 519, 12357, 630, 663, 10169, 15865, 264, 1379, 6728, 267, 972, 729, 4986, 811, 982, 606, 1344, 2679, 547, 2303, 621, 11478, 269, 1717, 267, 2899, 519, 2606, 3381, 3323, 267, 621, 3459, 547, 2097, 2312, 267, 519, 3003, 1379, 6728, 729, 3710, 883, 519, 7823, 267, 711, 593, 519, 1283, 267, 6862, 593, 519, 2427, 269, 1323, 11999, 1309, 591, 333, 729, 25653, 856, 543, 519, 3003, 6728, 729, 3710, 3330, 519, 7823, 563, 13436, 547, 824, 8652, 3167, 10473, 594, 4076, 2938, 267, 713, 568, 835, 799, 1568, 676, 16089, 1216, 689, 606, 5580, 8066, 2481, 547, 3132, 5201, 538, 8445, 2053, 540, 3747, 543, 1287, 15450, 519, 1216, 1394, 909, 1282, 1055, 8445, 2053, 269, 3502, 513, 4264, 1106, 540, 1648, 267, 855, 513, 2731, 15931, 835, 269, 5410, 547, 713, 519, 1249, 602, 789, 666, 3142, 519, 1379, 6728, 18402, 2228, 538, 12964, 7643, 267, 2864, 982, 3108, 585, 513, 3044, 2030, 267, 1287, 596, 723, 835, 5863, 9028, 540, 4702, 563, 30509, 689, 519, 1202, 2033, 569, 13085, 2856, 540, 15720, 519, 1379, 6728, 538, 519, 7823, 267, 519, 824, 2825, 6213, 3344, 540, 519, 1374, 1331, 5887, 532, 519, 1216, 15081, 650, 547, 3500, 922, 3432, 267, 1354, 621, 13788, 519, 10720, 269, 901, 5849, 602, 972, 779, 1100, 7298, 3977, 540, 1216, 267, 607, 1134, 607, 7863, 519, 8699, 540, 519, 10720, 543, 519, 3165, 602, 2661, 3330, 269, 1358, 849, 3710, 513, 15993, 585, 519, 3165, 547, 979, 998, 865, 789, 666, 4734, 519, 546, 25428, 10720, 543, 2212, 1394, 25318, 547, 838, 11921, 563, 11900, 728, 519, 7823, 3294, 267, 519, 11999, 1309, 591, 333, 8075, 519, 1379, 18402, 883, 799, 519, 1216, 678, 16640, 267, 547, 8095, 519, 18434, 693, 476, 4335, 337, 10975, 543, 3132, 5201, 269, 634, 2702, 547, 6385, 6467, 593, 610, 1055, 1797, 15364, 540, 1379, 3761, 2066, 519, 5177, 563, 5804, 606, 3872, 1448, 540, 2070, 267, 713, 568, 513, 8748, 1554, 7552, 952, 596, 2461, 538, 12986, 269, 898, 779, 606, 4316, 585, 1053, 547, 1294, 875, 5647, 267, 2872, 543, 2825, 4145, 666, 782, 581, 3927, 7307, 1510, 513, 17672, 1198, 269, 2060, 513, 1379, 6433, 3138, 4040, 538, 5245, 267, 621, 1522, 581, 4502, 2679, 513, 7008, 540, 891, 543, 513, 6046, 2030, 585, 1434, 2268, 547, 1683, 2973, 543, 6325, 2959, 540, 1648, 269, 0, 338, 11220, 1347, 568, 606, 8870, 1826, 602, 568, 4130, 982, 703, 799, 1797, 621, 666, 1405, 3180, 607, 2462, 543, 1507, 2418, 607, 703, 666, 269, 9896, 1347, 568, 2141, 835, 31632, 1247, 703, 568, 2356, 476, 275, 25466, 269, 1403, 596, 1616, 547, 917, 519, 3193, 543, 1295, 2418, 540, 9896, 1347, 596, 666, 946, 31901, 15311, 333, 10179, 545, 318, 3916, 1080, 563, 842, 1292, 630, 994, 560, 323, 15311, 322, 719, 24177, 834, 10946, 3065, 1871, 540, 9896, 1347, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 2381, 3065, 1871, 540, 9896, 1347, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 10946, 3065, 1871, 540, 703, 281, 27029, 560, 323, 15311, 322, 719, 24177, 834, 2381, 3065, 1871, 540, 703, 281, 27029, 9616, 602, 594, 1185, 547, 5641, 519, 9896, 1347, 547, 606, 703, 1354, 8228, 621, 547, 2057, 602, 621, 781, 9102, 607, 513, 1915, 3090, 563, 288, 4484, 568, 2141, 6740, 607, 513, 1297, 269, 898, 781, 875, 596, 946, 602, 1297, 602, 2306, 519, 3017, 269, 28611, 596, 1131, 946, 1347, 3079, 540, 9896, 10420, 547, 4558, 5022, 1317, 602, 781, 519, 1826, 602, 519, 3044, 5399, 3252, 2503, 563, 296, 1174, 602, 267, 2625, 601, 332, 568, 594, 18085, 4952, 9896, 1347, 4433, 264, 1175, 1317, 594, 18085, 4952, 2942, 607, 857, 328, 1871, 1862, 296, 993, 711, 2386, 952, 594, 6045, 519, 1966, 1134, 267, 1250, 7117, 7117, 553, 3274, 2073, 952, 594, 7500, 609, 1347, 1826, 4756, 538, 1250, 1982, 267, 875, 798, 594, 6430, 952, 547, 1118, 621, 1347, 610, 9896, 1347, 1826, 1862, 2889, 12378, 568, 4542, 1657, 267, 1317, 594, 3274, 1810, 1405, 896, 560, 333, 611, 1018, 568, 1035, 583, 331, 3315, 8345, 538, 972, 10756, 2889, 10964, 332, 568, 594, 18085, 4952, 9896, 1347, 4433, 264, 1175, 1317, 594, 18085, 4952, 2942, 607, 857, 328, 1871, 454, 338, 11220, 10420, 543, 5667, 11220, 10420, 616, 3274, 9896, 543, 5667, 11220, 2418, 267, 1175, 899, 703, 338, 799, 666, 849, 581, 9896, 610, 5667, 11220, 267, 4849, 789, 616, 6740, 538, 476, 279, 11353, 269, 1358, 798, 711, 723, 547, 2099, 606, 32412, 2862, 1871, 269, 634, 3903, 540, 513, 9896, 610, 5667, 11220, 1347, 18627, 606, 703, 1500, 950, 519, 2450, 540, 4859, 568, 2565, 269, 6787, 9896, 610, 5667, 11220, 5673, 593, 2436, 519, 1871, 666, 2099, 513, 2942, 1297, 563, 763, 1347, 1826, 568, 3982, 689, 1312, 9896, 1347, 543, 5667, 11220, 1347, 269, 8307, 519, 1347, 1826, 1058, 2479, 581, 1031, 585, 8066, 3197, 910, 519, 6388, 949, 8359, 585, 621, 547, 581, 2901, 9896, 610, 5667, 11220, 267, 543, 596, 1058, 711, 7048, 593, 835, 610, 519, 824, 269, 769, 782, 2665, 2705, 267, 789, 782, 4558, 2338, 269, 16992, 616, 2338, 269, 0, 5804, 476, 6942, 277, 267, 519, 1032, 519, 2817, 13477, 540, 12333, 28473, 11833, 338, 729, 8547, 267, 2394, 519, 1459, 1554, 267, 3388, 602, 814, 7018, 538, 519, 2136, 2276, 814, 1044, 10630, 538, 543, 1472, 519, 3014, 540, 13836, 563, 5319, 2809, 891, 5697, 1977, 769, 11789, 685, 642, 793, 22863, 267, 2110, 14501, 593, 1713, 19320, 1063, 2101, 1977, 2984, 543, 2101, 21597, 13836, 563, 5415, 966, 793, 22863, 28527, 17652, 910, 6744, 7982, 10705, 2336, 301, 622, 968, 303, 2465, 1284, 324, 892, 20182, 454, 305, 18432, 7130, 16175, 11478, 538, 13836, 689, 519, 4571, 268, 6642, 271, 779, 2394, 519, 20352, 3459, 547, 2490, 538, 476, 3707, 278, 950, 10793, 773, 20484, 540, 519, 27201, 667, 617, 7970, 2968, 519, 1101, 1268, 540, 2681, 547, 2408, 538, 519, 2101, 682, 8046, 563, 5522, 16558, 3395, 909, 538, 519, 5045, 1282, 519, 13343, 18844, 5736, 5185, 24245, 10168, 538, 741, 554, 2210, 12495, 269, 715, 622, 968, 303, 2465, 1284, 324, 892, 20182, 729, 835, 540, 873, 269, 18004, 538, 476, 3707, 271, 267, 543, 3395, 909, 538, 853, 269, 22642, 7921, 8419, 267, 646, 4810, 17478, 543, 7130, 20250, 1169, 1554, 269, 1879, 715, 622, 9896, 547, 1404, 3318, 13836, 609, 519, 15829, 667, 617, 7970, 4873, 476, 4198, 280, 519, 2319, 729, 6213, 547, 519, 10168, 715, 622, 1185, 1044, 16271, 547, 3395, 909, 543, 729, 6297, 547, 3651, 1864, 547, 1404, 593, 6887, 1759, 538, 1875, 5498, 326, 27935, 5634, 6122, 6558, 10034, 1282, 1010, 1101, 1906, 1296, 538, 605, 3440, 563, 301, 622, 20182, 3181, 3176, 607, 513, 2101, 682, 16331, 518, 609, 519, 667, 617, 7970, 593, 4989, 476, 280, 267, 476, 3422, 274, 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, 22090, 6362, 596, 2476, 593, 20605, 2361, 15143, 2066, 17407, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 518, 18209, 1773, 10415, 10369, 454, 288, 518, 18209, 1773, 10415, 10369, 1635, 12443, 1067, 7392, 630, 28139, 564, 1877, 750, 8208, 821, 630, 303, 7417, 298, 1070, 2717, 2988, 1156, 2643, 590, 5285, 728, 630, 303, 4916, 1070, 12443, 21666, 622, 630, 15425, 24270, 1635, 589, 7878, 7392, 630, 300, 26090, 589, 7878, 267, 15585, 776, 589, 7878, 267, 4937, 28645, 1070, 1635, 13335, 1299, 1635, 16323, 910, 6820, 10369, 29362, 476, 1708, 274, 547, 476, 10711, 274, 454, 26046, 540, 17224, 18209, 1773, 10415, 10369, 15147, 532, 476, 1789, 266, 18831, 26451, 5811, 540, 2475, 267, 4516, 267, 5177, 267, 5125, 267, 5333, 267, 20918, 923, 267, 717, 6717, 2477, 267, 3567, 267, 9705, 543, 1082, 811, 454, 288, 518, 18209, 1773, 10415, 10369, 31326, 630, 1708, 274, 547, 476, 10711, 274, 994, 22091, 21505, 693, 513, 11931, 595, 8980, 305, 540, 476, 277, 9077, 519, 2518, 23825, 15229, 2344, 568, 6059, 547, 2333, 689, 513, 29925, 540, 2475, 259, 476, 1428, 5479, 538, 476, 1708, 274, 547, 2475, 259, 476, 2767, 5479, 676, 519, 1439, 540, 476, 10711, 274, 563, 28139, 564, 1877, 750, 8208, 821, 630, 303, 7417, 298, 264, 12249, 568, 606, 5140, 12990, 585, 8407, 971, 607, 5374, 543, 11956, 1813, 547, 922, 9058, 4222, 543, 6551, 7190, 269, 26597, 8484, 3334, 971, 607, 11896, 16295, 543, 6802, 24039, 616, 1500, 540, 4874, 564, 1877, 750, 8208, 821, 269, 4595, 713, 1570, 568, 11259, 547, 29230, 3974, 543, 666, 2844, 1164, 5982, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 9699, 29042, 31157, 998, 30730, 781, 4112, 334, 1080, 692, 296, 269, 4985, 692, 763, 1353, 540, 9699, 10723, 5931, 2488, 5813, 883, 519, 3638, 2686, 6561, 543, 3909, 4978, 540, 3127, 269, 9521, 1395, 6139, 2065, 10764, 971, 607, 8567, 610, 5771, 267, 799, 723, 13737, 13411, 2835, 267, 18420, 814, 513, 5318, 4015, 540, 30920, 1634, 607, 1744, 770, 6652, 269, 1452, 5931, 616, 19040, 883, 1079, 1292, 2516, 910, 29447, 583, 328, 630, 1492, 968, 515, 731, 892, 5931, 264, 543, 3911, 761, 328, 630, 1492, 968, 8145, 14801, 892, 5931, 1040, 901, 1576, 786, 5490, 4514, 883, 891, 6688, 267, 5373, 2390, 2984, 540, 519, 11537, 25976, 7083, 30730, 779, 7518, 1080, 1336, 5097, 538, 3911, 761, 328, 5931, 269, 3414, 713, 1935, 267, 596, 786, 2744, 513, 4396, 5748, 538, 26762, 1950, 2093, 4843, 538, 1585, 9699, 10723, 5931, 543, 741, 10083, 2221, 780, 2862, 269, 634, 10417, 540, 29447, 583, 328, 692, 306, 337, 583, 328, 4016, 547, 1346, 9699, 30920, 2808, 10143, 11240, 725, 4607, 676, 3504, 681, 880, 529, 630, 338, 1137, 264, 945, 1185, 25189, 5289, 22729, 543, 15398, 9637, 269, 1358, 941, 2111, 547, 5873, 610, 13498, 891, 18408, 1282, 2620, 9066, 610, 7663, 611, 6062, 269, 9050, 3119, 5931, 1118, 909, 519, 29447, 583, 328, 24402, 281, 519, 15519, 1386, 320, 267, 962, 1690, 20940, 320, 267, 6341, 8491, 320, 267, 543, 19158, 541, 341, 8491, 320, 269, 3958, 267, 972, 2291, 476, 10482, 2101, 543, 5634, 772, 20725, 6758, 1107, 10952, 1521, 2478, 8108, 851, 540, 519, 29447, 583, 328, 2245, 269, 4595, 789, 616, 2808, 7442, 19653, 515, 5984, 630, 2254, 30363, 676, 3425, 1070, 1100, 1367, 610, 1895, 6585, 6392, 936, 873, 282, 3079, 267, 789, 4196, 607, 15851, 2959, 540, 7326, 269, 769, 4207, 2486, 267, 5640, 8415, 891, 5931, 547, 2263, 4798, 540, 546, 327, 12609, 267, 737, 12609, 267, 544, 758, 3333, 320, 267, 543, 2909, 327, 2006, 269, 1280, 3236, 267, 4210, 9564, 966, 633, 16988, 7701, 5219, 547, 519, 28174, 553, 14916, 538, 1010, 18531, 5009, 8471, 10343, 543, 10103, 1851, 3309, 4529, 543, 5132, 338, 780, 7656, 269, 5548, 1324, 883, 3911, 761, 328, 692, 10712, 761, 328, 30920, 17663, 15422, 10752, 1759, 593, 9821, 267, 2853, 267, 1514, 8155, 267, 543, 2123, 2833, 269, 2755, 1447, 26060, 982, 29447, 583, 328, 5931, 267, 789, 1869, 3180, 1713, 3310, 5935, 6848, 2932, 543, 5837, 2418, 269, 6206, 23658, 20975, 896, 3911, 761, 328, 1331, 898, 8811, 14505, 630, 7290, 5566, 6386, 1070, 8830, 11446, 630, 534, 2615, 8941, 827, 9699, 24587, 1070, 20144, 1301, 1662, 770, 6652, 630, 18721, 9479, 1070, 543, 570, 656, 6652, 630, 525, 582, 20143, 12738, 1040, 3776, 1445, 3788, 10704, 1472, 30730, 781, 7518, 1080, 6537, 5631, 689, 519, 3134, 923, 10067, 629, 9618, 1092, 543, 4498, 643, 4461, 320, 267, 9286, 607, 898, 8811, 14505, 780, 4353, 269, 1401, 2364, 908, 30730, 781, 4112, 334, 1080, 692, 298, 16194, 3534, 267, 1419, 13269, 607, 519, 20032, 540, 2648, 267, 1404, 6888, 267, 543, 32660, 267, 5526, 30326, 538, 1312, 519, 10067, 629, 9618, 1092, 543, 4498, 643, 4461, 320, 269, 3571, 1272, 1650, 3091, 3407, 4245, 3823, 7881, 267, 13919, 267, 20174, 267, 5718, 267, 543, 4640, 269, 1284, 4927, 4983, 930, 8037, 14501, 5473, 30730, 267, 4098, 609, 1010, 6689, 929, 3471, 543, 4027, 540, 12418, 31459, 3056, 547, 1010, 11358, 1909, 1443, 2358, 1488, 329, 10044, 1282, 519, 918, 15843, 802, 2867, 571, 2782, 538, 519, 13225, 698, 822, 611, 717, 7534, 780, 309, 269, 19974, 2398, 3471, 1299, 10466, 540, 595, 4490, 4173, 1091, 692, 2026, 513, 1126, 267, 30730, 17820, 9058, 5759, 1256, 950, 2502, 538, 20027, 3765, 27815, 269, 2290, 4583, 12558, 22281, 338, 875, 646, 588, 1961, 7423, 5921, 585, 2146, 3892, 267, 29544, 18497, 4687, 543, 7862, 269, 6271, 9661, 6257, 1864, 17666, 6778, 29583, 731, 7315, 547, 2149, 27142, 689, 8731, 1370, 658, 22856, 2366, 676, 1473, 571, 267, 8204, 1219, 4800, 1996, 24407, 8128, 543, 16126, 593, 6418, 4222, 269, 6270, 2984, 18836, 1898, 21644, 899, 10100, 267, 21548, 267, 8296, 267, 543, 23274, 780, 9654, 269, 24547, 558, 2329, 1299, 15613, 281, 30730, 693, 918, 15843, 802, 2867, 571, 692, 2691, 17455, 6072, 19036, 1488, 329, 10044, 5185, 5683, 21140, 7282, 7589, 538, 519, 918, 15843, 802, 2867, 571, 2782, 267, 30730, 11461, 1864, 32375, 3842, 519, 13225, 698, 822, 611, 717, 7534, 267, 10771, 1582, 16531, 267, 1033, 16670, 267, 10279, 267, 543, 21704, 547, 2696, 269, 1306, 513, 2797, 2054, 626, 267, 30730, 8480, 539, 1312, 5011, 31205, 267, 4180, 9444, 6591, 15490, 5413, 2943, 6038, 4543, 5150, 11802, 585, 5126, 269, 1635, 7421, 891, 13685, 267, 2413, 3988, 1451, 2565, 3206, 1983, 267, 20320, 2553, 267, 543, 3375, 6194, 2994, 10858, 547, 3318, 11678, 543, 4948, 2591, 780, 23997, 269, 20710, 3101, 28673, 543, 7073, 640, 692, 9213, 267, 1896, 4589, 6451, 2609, 689, 2757, 9699, 561, 648, 883, 11174, 5708, 267, 1818, 891, 989, 6804, 8941, 3015, 547, 7820, 5481, 269, 6201, 1331, 12891, 2917, 15681, 529, 262, 834, 763, 26626, 540, 30730, 2437, 14181, 3873, 12653, 1399, 781, 834, 763, 18903, 540, 519, 23452, 13527, 2437, 543, 932, 527, 571, 14465, 518, 329, 2465, 6555, 752, 541, 27376, 781, 834, 10468, 11253, 281, 7861, 800, 14576, 1701, 1452, 1427, 32478, 2226, 4295, 3741, 11251, 1369, 3312, 6589, 1247, 15268, 1893, 267, 2511, 267, 543, 6881, 2409, 4143, 547, 4207, 9458, 269, 9747, 267, 23440, 609, 9699, 10723, 5931, 18327, 16832, 585, 19825, 16082, 1459, 538, 5368, 614, 2181, 1540, 8747, 780, 309, 7656, 269, 10390, 692, 8139, 9699, 10723, 5931, 3340, 30230, 4771, 5817, 2035, 267, 3140, 8658, 267, 5339, 3457, 267, 543, 4612, 894, 10850, 6964, 2429, 27453, 269, 29760, 593, 30730, 781, 7518, 1080, 6087, 721, 547, 6330, 6946, 6106, 540, 2495, 7915, 538, 519, 6626, 9135, 540, 9699, 13299, 3927, 269, 5015, 267, 16565, 15334, 538, 16208, 891, 5931, 10597, 938, 7071, 540, 14624, 3812, 2066, 2923, 5867, 23695, 547, 8795, 2085, 9832, 267, 3226, 1453, 781, 3332, 269, 11086, 267, 4974, 9699, 10723, 5931, 27862, 938, 8223, 540, 2518, 2686, 4763, 543, 11942, 8994, 2463, 543, 10892, 1063, 2950, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 8114, 29042, 31157, 454, 30022, 25103, 1369, 519, 2985, 454, 295, 8114, 10723, 5931, 616, 519, 2019, 6058, 748, 3332, 1644, 547, 1114, 5389, 543, 2528, 538, 18420, 269, 18420, 1281, 711, 723, 513, 2582, 10723, 1257, 899, 824, 10764, 269, 2368, 540, 519, 1271, 9699, 10723, 5931, 1331, 28174, 553, 267, 772, 20725, 6758, 267, 8830, 3570, 267, 898, 8811, 14505, 267, 13225, 698, 822, 611, 717, 7534, 543, 3397, 24252, 269, 18420, 568, 606, 4095, 4984, 4553, 543, 1316, 2213, 676, 1082, 1004, 1158, 2647, 563, 295, 8114, 5931, 616, 5258, 883, 1079, 6688, 29447, 583, 328, 543, 3911, 761, 328, 269, 29447, 583, 328, 568, 1018, 568, 4862, 543, 3911, 761, 328, 568, 1018, 568, 2854, 269, 29447, 583, 328, 2882, 28174, 553, 543, 772, 20725, 6758, 1247, 3911, 761, 328, 2882, 898, 8811, 14505, 899, 10548, 27011, 10067, 629, 9618, 1092, 1519, 13225, 698, 822, 611, 717, 7534, 269, 29447, 583, 328, 568, 2808, 607, 519, 1034, 22265, 543, 1271, 3504, 9699, 5931, 607, 621, 568, 5156, 602, 621, 568, 10299, 30375, 689, 835, 1268, 547, 1776, 676, 521, 1137, 543, 568, 711, 2854, 676, 1022, 1480, 7919, 563, 1103, 513, 1259, 621, 666, 581, 1767, 602, 521, 337, 583, 328, 616, 1945, 4862, 2047, 689, 519, 10971, 676, 519, 521, 1137, 543, 519, 521, 1137, 723, 5293, 621, 30375, 689, 835, 5108, 547, 606, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 16241, 1315, 9699, 1315, 30730, 781, 4112, 334, 1080, 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, 5149, 476, 279, 281, 9608, 29972, 4260, 7958, 910, 4980, 22899, 22627, 538, 24656, 692, 7072, 912, 1103, 519, 7706, 540, 12202, 267, 649, 1419, 1589, 540, 14637, 2371, 543, 8384, 873, 1332, 883, 7524, 267, 4829, 995, 7103, 269, 1717, 267, 723, 596, 2479, 11432, 1229, 519, 2856, 540, 14237, 4296, 3564, 713, 3618, 569, 6228, 286, 769, 713, 1770, 267, 649, 5490, 883, 519, 1523, 540, 2123, 12202, 15322, 607, 789, 9305, 547, 18163, 1272, 267, 4481, 3695, 875, 3347, 949, 22036, 543, 11457, 538, 13140, 269, 1284, 2721, 6667, 689, 13400, 15102, 543, 1921, 891, 2093, 609, 4207, 4555, 543, 1382, 780, 4089, 476, 272, 281, 4197, 17716, 538, 661, 1181, 640, 692, 9824, 580, 542, 543, 17035, 1404, 1713, 5107, 538, 5935, 2043, 262, 4978, 827, 2669, 543, 1310, 5158, 269, 8567, 3091, 2189, 5380, 593, 1018, 19179, 1080, 21071, 1739, 741, 2168, 27757, 269, 2290, 7986, 6249, 568, 519, 27402, 540, 14375, 7554, 5103, 519, 9000, 540, 5432, 3889, 899, 3885, 543, 2950, 269, 1215, 1522, 971, 4296, 8915, 2933, 538, 13140, 286, 1677, 2263, 713, 1523, 2417, 267, 1577, 781, 4983, 31694, 476, 278, 281, 280, 267, 799, 6257, 513, 3309, 11018, 540, 2043, 8087, 676, 5132, 780, 285, 29038, 1358, 616, 689, 1169, 14316, 267, 689, 782, 6082, 267, 543, 4654, 1862, 1432, 2306, 721, 1114, 1100, 3476, 17337, 3010, 1607, 8574, 8711, 519, 2956, 540, 4763, 543, 9322, 1851, 2696, 781, 1453, 269, 4014, 2686, 21441, 2611, 7805, 267, 789, 24044, 547, 1711, 15523, 269, 5502, 267, 891, 3604, 3565, 547, 513, 3638, 13795, 540, 2833, 543, 9163, 602, 27862, 519, 7104, 2898, 269, 1306, 22254 ]

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

[ 29061, 12412, 1769, 6383, 689, 519, 1094, 653, 10921, 676, 1210, 519, 9168, 12408, 1505, 269, 3973, 267, 519, 15423, 2039, 543, 519, 8445, 540, 519, 561, 29061, 12412, 941, 6027, 2687, 547, 519, 11098, 540, 6751, 7246, 3625, 269, 4746, 267, 519, 10956, 1464, 540, 519, 11123, 306, 17016, 729, 11117, 269, 2311, 2063, 267, 519, 6027, 3448, 14556, 885, 540, 519, 561, 29061, 12412, 2687, 547, 519, 11098, 540, 6751, 7246, 3625, 941, 3379, 609, 519, 1871, 7229, 1210, 519, 4542, 540, 19681, 6975, 5174, 17621, 563, 1607, 1382, 729, 6462, 676, 2817, 17437, 681, 1299, 667, 5358, 998, 519, 2817, 3194, 7690, 540, 9705, 630, 24520, 293, 264, 14102, 676, 519, 12080, 540, 3163, 267, 23559, 543, 2104, 12020, 630, 1001, 275, 300, 273, 289, 273, 288, 3445, 274, 7277, 272, 264, 543, 713, 1382, 729, 6462, 676, 9978, 3163, 3194, 5358, 998, 519, 2817, 3194, 7690, 540, 9705, 630, 24520, 293, 264, 14102, 676, 519, 12080, 540, 3163, 267, 23559, 543, 2104, 12020, 630, 1001, 275, 305, 272, 288, 273, 288, 273, 288, 31239, 271, 2918, 736, 543, 476, 1001, 274, 305, 272, 288, 272, 288, 11793, 13932, 278, 1040, 0, 23178, 6833, 686, 26436, 454, 2691, 1004, 5873, 519, 2262, 4984, 267, 930, 804, 600, 909, 610, 5612, 1205, 17872, 543, 8825, 936, 1018, 789, 1745, 4984, 568, 270, 1889, 753, 547, 873, 610, 1018, 789, 2024, 741, 1378, 5132, 547, 581, 269, 594, 723, 547, 16153, 594, 4769, 1406, 1616, 547, 1491, 713, 1362, 1317, 540, 1250, 1378, 12886, 543, 4250, 540, 1373, 840, 3737, 547, 855, 607, 938, 1257, 2829, 998, 513, 10839, 7150, 676, 9410, 13162, 3751, 267, 12789, 968, 16631, 27180, 282, 4984, 3705, 1206, 269, 3163, 3947, 812, 1702, 799, 568, 1379, 282, 4984, 3947, 812, 7326, 799, 568, 1852, 6100, 634, 1353, 540, 4984, 2636, 721, 547, 1174, 1141, 938, 2413, 1554, 2245, 6508, 689, 543, 1174, 945, 649, 616, 607, 513, 2486, 269, 1677, 4628, 1174, 2413, 1554, 2528, 649, 1058, 1413, 883, 1018, 3909, 2245, 2161, 779, 267, 1018, 621, 1281, 267, 543, 875, 621, 1418, 3278, 563, 9199, 1288, 281, 1548, 621, 3081, 454, 9824, 580, 542, 568, 1945, 602, 814, 1044, 513, 851, 540, 812, 585, 5481, 607, 2484, 1394, 607, 621, 666, 581, 6592, 269, 898, 568, 513, 851, 540, 513, 1268, 779, 3661, 1949, 602, 14439, 543, 26342, 602, 649, 616, 1934, 1317, 540, 513, 2362, 543, 1989, 831, 1379, 982, 938, 30441, 269, 15215, 2636, 812, 547, 5581, 1018, 568, 1434, 543, 1018, 568, 3983, 267, 621, 2285, 721, 513, 2631, 3354, 543, 513, 5748, 593, 799, 547, 1332, 543, 29343, 2390, 269, 634, 10752, 540, 519, 1292, 6908, 10764, 971, 513, 8567, 729, 5293, 1524, 998, 2984, 543, 1114, 28005, 976, 602, 723, 1044, 2322, 538, 547, 513, 1257, 3898, 543, 998, 519, 1296, 814, 1044, 12261, 689, 922, 12355, 1257, 547, 3751, 6276, 547, 1082, 824, 8747, 602, 2413, 812, 1223, 1174, 609, 2370, 547, 1100, 7664, 563, 1103, 4529, 971, 607, 609, 519, 7111, 4892, 543, 11316, 2103, 519, 10752, 540, 741, 5065, 5132, 338, 941, 5293, 1524, 998, 2984, 267, 23929, 267, 7499, 4082, 269, 4634, 547, 713, 1554, 519, 11316, 2103, 1869, 554, 21343, 7544, 799, 568, 513, 1106, 540, 741, 3909, 4082, 543, 6561, 269, 1452, 23929, 2995, 2984, 827, 741, 2696, 610, 10971, 267, 547, 519, 16080, 3187, 621, 568, 1175, 513, 4190, 1106, 540, 1148, 543, 547, 873, 621, 568, 513, 1259, 547, 1831, 835, 609, 2696, 563, 9199, 1288, 281, 1548, 621, 1281, 454, 9824, 580, 542, 666, 723, 513, 3532, 1860, 936, 513, 1268, 1272, 543, 1259, 540, 1272, 269, 6270, 607, 11755, 538, 1082, 10764, 713, 568, 519, 835, 957, 602, 2636, 513, 1268, 519, 2702, 547, 2911, 547, 741, 2696, 543, 2769, 741, 7064, 267, 2307, 585, 5583, 267, 547, 1118, 13668, 267, 610, 1175, 547, 2911, 547, 1864, 17017, 14121, 1335, 269, 634, 7332, 5132, 3340, 922, 21071, 547, 7281, 2947, 6101, 19001, 513, 1554, 269, 674, 1690, 337, 568, 741, 840, 1673, 11921, 11755, 602, 568, 2016, 538, 1121, 27320, 540, 741, 2696, 630, 1001, 273, 1040, 20144, 7795, 337, 568, 741, 11755, 602, 568, 7281, 539, 693, 29869, 282, 799, 568, 547, 3314, 2696, 543, 547, 2307, 585, 5583, 630, 1001, 273, 1040, 1306, 337, 741, 12784, 11755, 267, 713, 568, 7281, 539, 1282, 519, 1034, 11112, 942, 607, 1004, 1439, 741, 1554, 513, 1906, 3764, 568, 1305, 11735, 547, 1586, 3314, 2696, 543, 519, 1989, 831, 2495, 540, 741, 2729, 630, 1001, 273, 1040, 7395, 327, 1026, 568, 7281, 539, 693, 23863, 267, 713, 568, 1776, 11755, 540, 519, 1121, 27320, 540, 2696, 630, 1001, 273, 1040, 1772, 3873, 568, 7281, 539, 538, 519, 10543, 607, 789, 979, 547, 5127, 547, 3314, 2696, 779, 4527, 267, 2307, 585, 5583, 267, 2307, 585, 1010, 23502, 267, 543, 3343, 1010, 19807, 630, 1001, 273, 1040, 27302, 585, 12356, 568, 513, 1259, 540, 1272, 543, 621, 568, 693, 519, 2295, 540, 1018, 945, 789, 616, 543, 875, 789, 9305, 547, 741, 2696, 563, 9199, 1288, 281, 1215, 621, 1418, 3278, 454, 22117, 11429, 568, 513, 1455, 8142, 1851, 1082, 10764, 269, 6270, 607, 609, 1082, 4168, 5132, 338, 543, 13039, 519, 30798, 568, 1291, 676, 513, 2250, 528, 1287, 596, 723, 707, 2507, 0, 12648, 513, 4090, 547, 1589, 540, 707, 9998, 3965, 267, 519, 1101, 3364, 602, 5949, 538, 707, 1272, 602, 596, 666, 3314, 269, 594, 798, 711, 917, 596, 267, 855, 594, 2907, 917, 1945, 1713, 827, 602, 3965, 269, 898, 729, 14156, 9901, 538, 930, 1259, 269, 898, 729, 513, 3965, 4904, 609, 1025, 1170, 610, 2620, 28194, 269, 898, 949, 581, 32049, 610, 596, 949, 723, 1044, 9663, 1190, 269, 594, 917, 713, 1317, 594, 917, 827, 519, 2634, 543, 3965, 269, 3776, 2634, 8637, 1344, 602, 621, 9060, 547, 581, 1713, 267, 543, 2178, 4664, 616, 835, 1259, 547, 5365, 4644, 269, 1924, 1018, 1281, 713, 1611, 585, 7855, 888, 3080, 1259, 547, 948, 2327, 602, 1453, 2965, 3314, 519, 1543, 568, 547, 1847, 2250, 3274, 8720, 4441, 543, 1589, 827, 2870, 2833, 585, 1453, 16135, 538, 873, 269, 18320, 1419, 649, 616, 6998, 6000, 1946, 1053, 1810, 1406, 917, 1945, 269, 1284, 917, 649, 4988, 621, 269, 1284, 666, 1294, 621, 593, 938, 3992, 4566, 282, 621, 779, 1044, 13761, 1055, 540, 519, 5750, 269, 1809, 789, 1869, 1810, 1406, 1205, 621, 269, 634, 1966, 949, 581, 789, 4769, 1406, 1995, 1454, 563, 20091, 513, 8574, 267, 6217, 1945, 1373, 1224, 267, 1373, 7898, 3293, 547, 610, 11423, 538, 513, 4976, 616, 3335, 711, 1360, 14156, 9901, 563, 1103, 8888, 513, 3992, 267, 9811, 267, 621, 568, 11613, 1271, 547, 723, 519, 4441, 538, 2247, 267, 855, 621, 568, 1175, 607, 1271, 547, 1589, 827, 519, 3992, 689, 519, 5133, 540, 519, 1126, 269, 4024, 1352, 581, 9599, 543, 7722, 267, 610, 786, 621, 581, 1175, 899, 3388, 3116, 602, 4523, 286, 6496, 519, 3992, 1491, 883, 2272, 1945, 1808, 827, 519, 1453, 538, 519, 4055, 267, 971, 607, 741, 4690, 267, 1945, 602, 814, 2047, 4299, 741, 2729, 610, 606, 3390, 602, 789, 723, 1044, 6158, 827, 286, 1772, 519, 3992, 519, 1482, 835, 596, 4076, 2141, 2944, 267, 7488, 540, 519, 1053, 267, 1032, 1310, 1032, 267, 610, 6148, 621, 3357, 1318, 689, 519, 6437, 1433, 609, 1100, 12381, 286, 898, 568, 2653, 547, 1294, 875, 519, 4267, 547, 519, 2055, 1657, 1291, 547, 3833, 1114, 2833, 585, 519, 1053, 563, 763, 1985, 942, 596, 2461, 2324, 593, 707, 3992, 1544, 267, 979, 3564, 1519, 519, 4441, 543, 581, 9237, 609, 3054, 827, 1018, 519, 1053, 616, 2469, 547, 1995, 269, 1403, 602, 1995, 786, 711, 2693, 1291, 547, 513, 3965, 602, 568, 6854, 1279, 3856, 267, 2119, 1945, 3116, 3079, 269, 14755, 267, 519, 811, 7722, 707, 1053, 616, 519, 811, 1187, 596, 3580, 723, 607, 513, 4116, 1932, 256, 0, 4467, 19397, 12031, 607, 1373, 513, 1826, 610, 1826, 540, 9836, 960, 267, 922, 11984, 1055, 741, 6054, 454, 763, 12031, 676, 1797, 540, 513, 12377, 568, 513, 2189, 2186, 540, 4791, 960, 267, 799, 786, 581, 513, 6041, 2404, 609, 519, 1505, 540, 2564, 1382, 5339, 1568, 267, 2688, 27787, 676, 799, 4791, 9345, 568, 6444, 607, 513, 5650, 540, 3621, 2208, 540, 5168, 865, 602, 607, 519, 1646, 540, 2564, 2418, 23429, 519, 2257, 602, 568, 1360, 563, 30547, 543, 2832, 540, 1603, 513, 12031, 454, 21132, 1888, 568, 1062, 540, 2564, 3741, 602, 10018, 519, 8647, 540, 2564, 5872, 4909, 2010, 540, 1702, 267, 602, 2306, 621, 2009, 547, 1174, 519, 3119, 3252, 540, 2029, 267, 971, 607, 585, 1383, 6609, 267, 6609, 267, 9472, 267, 31633, 543, 1062, 26494, 540, 9259, 543, 5013, 540, 4641, 563, 1607, 2186, 540, 513, 960, 267, 1312, 519, 3312, 2175, 585, 2564, 1382, 267, 607, 1134, 607, 922, 1576, 602, 568, 3003, 519, 6364, 5833, 693, 602, 267, 616, 6592, 269, 898, 786, 711, 3274, 4766, 519, 9836, 5013, 267, 855, 2488, 513, 3102, 2079, 267, 799, 3398, 2406, 9356, 1312, 2596, 2564, 543, 2189, 2010, 540, 2564, 1702, 267, 519, 26117, 540, 799, 666, 581, 4625, 20582, 538, 1142, 3236, 540, 519, 3498, 563, 288, 12031, 538, 519, 1062, 540, 2257, 15824, 513, 28730, 1599, 267, 602, 568, 267, 621, 568, 5423, 585, 519, 3483, 540, 1857, 8878, 543, 13844, 513, 10196, 610, 4081, 4110, 7429, 824, 3621, 1568, 269, 5221, 540, 519, 2298, 540, 12031, 519, 5856, 568, 24565, 267, 1175, 875, 4625, 8272, 549, 1042, 543, 6086, 7007, 519, 2175, 3769, 972, 514, 267, 8753, 543, 4388, 267, 741, 4791, 3209, 1399, 543, 4052, 2956, 563, 763, 9103, 1275, 540, 713, 2164, 9715, 538, 971, 960, 5267, 519, 2671, 3823, 519, 12031, 547, 2257, 267, 543, 865, 2982, 519, 4110, 540, 922, 4791, 20340, 267, 543, 1034, 11932, 519, 12588, 547, 14350, 1685, 513, 4791, 3406, 543, 4194, 1808, 9836, 2152, 563, 10497, 775, 3823, 519, 12031, 543, 922, 1880, 4052, 1871, 454, 288, 1189, 532, 540, 3173, 543, 3872, 5232, 568, 835, 540, 17003, 602, 568, 1271, 519, 4367, 540, 6469, 2029, 267, 3091, 14304, 741, 1533, 4567, 543, 13075, 4567, 540, 922, 3401, 269, 10318, 1456, 2436, 610, 711, 547, 8366, 513, 2564, 610, 3872, 1377, 547, 513, 2816, 11134, 568, 513, 1129, 540, 6284, 540, 741, 1983, 1317, 540, 17761, 2967, 328, 538, 1840, 547, 4791, 2146, 563, 5194, 1271, 3017, 540, 713, 12031, 1055, 741, 4791, 1568, 630, 21955, 585, 519, 9836, 543, 2930, 1867, 264, 568, 519, 1249, 602, 9836, 1344, 1336, 538, 922, 2366, 950, 596, 1413, 693, 519, 1082, 2347, 1106, 269, 15742, 569, 267, 1175, 1318, 1934, 519, 1292, 2798, 2404, 609, 4093, 4061, 519, 3259, 540, 2564, 29622, 616, 4330, 693, 3259, 267, 519, 4640, 540, 7900, 1382, 693, 3259, 267, 519, 1483, 1686, 2404, 609, 519, 2208, 540, 519, 9259, 602, 616, 6594, 2143, 563, 763, 1264, 28467, 2404, 609, 1344, 950, 596, 1413, 693, 519, 12031, 568, 8272, 549, 1042, 883, 519, 26837, 4192, 1249, 602, 7396, 1934, 568, 2016, 513, 3226, 2143, 23610, 1570, 267, 799, 1331, 912, 268, 1469, 676, 1469, 24134, 2676, 268, 2647, 32751, 687, 602, 616, 3140, 19320, 2676, 268, 519, 4093, 540, 9836, 3406, 563, 5445, 5963, 616, 4330, 538, 519, 1082, 11455, 950, 621, 2501, 547, 4791, 23440, 609, 519, 3337, 563, 763, 1344, 3823, 519, 12031, 1915, 3278, 519, 5169, 1275, 543, 23141, 540, 713, 1344, 602, 568, 1657, 269, 634, 5748, 585, 713, 568, 513, 10416, 6216, 1007, 1587, 267, 799, 1331, 513, 6609, 540, 519, 5767, 5013, 267, 9259, 543, 9086, 540, 2470, 543, 2486, 267, 538, 1840, 547, 31633, 540, 5892, 1634, 5107, 1055, 741, 6009, 610, 538, 606, 2460, 602, 568, 4625, 1114, 563, 4415, 14621, 547, 519, 2596, 4162, 540, 2029, 267, 519, 12031, 6799, 6216, 1007, 2093, 267, 6436, 543, 5013, 883, 4791, 2516, 269, 901, 1543, 540, 891, 960, 9356, 519, 9759, 3823, 519, 12136, 267, 519, 4806, 538, 4351, 1145, 267, 519, 2407, 2698, 1369, 519, 1587, 267, 519, 9703, 883, 519, 5007, 269, 5062, 323, 537, 6549, 779, 1523, 1934, 8308, 9356, 519, 3510, 3510, 538, 2029, 543, 14687, 2509, 519, 3056, 4287, 540, 2564, 1702, 269, 8307, 896, 971, 2175, 267, 713, 10206, 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, 3046, 665, 4802, 545, 1949, 269, 15681, 639, 589, 476, 5325, 281, 2568, 276, 1700, 277, 2764, 454, 305, 690, 601, 329, 808, 267, 2725, 1231, 27346, 523, 631, 267, 12928, 583, 16210, 681, 630, 1001, 273, 264, 6820, 8337, 896, 2025, 543, 1007, 7653, 1210, 7379, 6717, 2916, 8417, 2039, 9193, 269, 14844, 29725, 7827, 476, 273, 281, 27886, 1700, 26562, 454, 19913, 738, 345, 20336, 267, 32368, 518, 667, 267, 18548, 691, 700, 293, 630, 1960, 279, 264, 634, 1198, 540, 1804, 8397, 2095, 593, 1970, 7400, 28882, 2497, 543, 4720, 538, 4571, 26245, 3363, 7814, 2158, 269, 3933, 16661, 4860, 476, 14695, 281, 12293, 278, 1700, 9692, 272, 454, 19913, 342, 1512, 345, 595, 267, 918, 7238, 961, 1676, 268, 3891, 1188, 623, 267, 631, 13616, 661, 313, 267, 645, 637, 577, 667, 301, 267, 966, 573, 1446, 623, 267, 8187, 631, 267, 5576, 7564, 337, 595, 630, 1220, 280, 264, 3525, 2454, 3864, 5162, 7088, 9271, 538, 1699, 543, 2104, 2916, 269, 29725, 7827, 476, 6200, 281, 4366, 276, 1700, 276, 1691, 454, 4537, 777, 10098, 10790, 267, 32368, 518, 667, 630, 1960, 271, 264, 674, 1258, 1206, 267, 15191, 12535, 267, 543, 519, 21050, 18108, 269, 769, 281, 13053, 595, 310, 267, 4591, 641, 664, 523, 661, 302, 630, 2644, 264, 6987, 7806, 7211, 20676, 2158, 267, 519, 661, 20891, 26054, 26408, 18189, 4320, 269, 2549, 25561, 565, 17502, 267, 11785, 267, 6032, 476, 15757, 1700, 4489, 454, 306, 614, 331, 589, 267, 590, 1197, 6359, 985, 595, 267, 4144, 329, 330, 14259, 670, 267, 670, 10270, 548, 3455, 654, 267, 8709, 6196, 523, 4011, 724, 717, 297, 267, 8709, 3954, 7935, 324, 651, 631, 267, 26990, 619, 717, 267, 8709, 3954, 15049, 330, 645, 267, 8709, 10557, 17703, 523, 623, 297, 267, 8709, 20653, 628, 8576, 623, 630, 1220, 279, 264, 1879, 666, 649, 2503, 5393, 1164, 2627, 5210, 286, 2983, 19398, 1763, 32731, 476, 3374, 281, 1691, 454, 1320, 1941, 23145, 1111, 7131, 267, 670, 657, 9469, 645, 297, 267, 5062, 4504, 344, 516, 19294, 630, 1960, 274, 264, 5565, 26336, 540, 3046, 665, 4802, 545, 2914, 1511, 1272, 268, 12860, 7180, 269, 1627, 808, 20858, 25561, 565, 17502, 476, 15686, 281, 1704, 1700, 4649, 454, 308, 322, 3250, 7236, 700, 310, 267, 32368, 518, 667, 267, 5696, 650, 918, 293, 267, 25169, 8863, 630, 2735, 276, 264, 634, 7022, 779, 1554, 7814, 821, 540, 476, 1240, 1700, 866, 5988, 476, 3192, 280, 281, 3310, 540, 25318, 512, 893, 29208, 543, 2404, 21050, 18108, 24208, 593, 4028, 7814, 14003, 269, 3933, 16661, 4860, 476, 13647, 281, 280, 7830, 1700, 280, 6434, 454, 7079, 5548, 6577, 589, 630, 2735, 280, 264, 2201, 519, 29947, 543, 11423, 540, 7059, 7814, 2158, 676, 1019, 629, 1738, 8022, 269, 25561, 565, 2311, 21573, 4284, 476, 6078, 281, 14096, 1700, 13970, 454, 7079, 3954, 15049, 330, 645, 297, 297, 300, 267, 966, 3438, 2692, 623, 267, 5617, 10937, 1513, 8028, 300, 543, 5975, 1206, 31650, 630, 1220, 271, 264, 589, 14389, 12727, 22356, 15418, 540, 519, 661, 6938, 2412, 2627, 10325, 282, 10566, 300, 310, 293, 15306, 300, 655, 334, 476, 27768, 269, 5291, 2517, 4178, 269, 1815, 332, 342, 325, 269, 842, 9706, 3016, 725, 15828, 3869, 270, 1815, 21504, 725, 9706, 4206, 14121, 332, 270, 9826, 268, 4968, 14121, 332, 27768, 15005, 454, 7079, 966, 340, 675, 333, 667, 303, 1696, 620, 630, 1001, 272, 264, 634, 11347, 5834, 11444, 281, 606, 7650, 269, 29725, 7827, 476, 11820, 281, 276, 1700, 4029, 454, 310, 1716, 2993, 670, 267, 667, 597, 1066, 590, 267, 6931, 9528, 10790, 267, 2098, 650, 580, 631, 630, 1220, 273, 264, 13552, 673, 3344, 540, 519, 1272, 4783, 540, 519, 5162, 7088, 2048, 299, 1054, 541, 685, 630, 2190, 1700, 2918, 5412, 476, 1960, 280, 1040, 1627, 808, 20858, 25561, 565, 17502, 476, 12553, 281, 28147, 1700, 275, 3066, 454, 313, 16852, 962, 267, 1715, 749, 11555, 630, 1960, 279, 264, 589, 1160, 12723, 23990, 585, 7720, 626, 675, 12071, 343, 525, 689, 27321, 23117, 269, 3933, 16661, 4860, 476, 14695, 281, 278, 1839, 454, 12552, 979, 547, 6682, 1408, 590, 1197, 6359, 985, 585, 7900, 519, 2203, 8255, 609, 10566, 7232, 14390, 543, 2022, 3491, 22422, 519, 1239, 543, 547, 22189, 3798, 523, 585, 9691, 2847, 2358, 713, 1957, 269, 634, 4589, 1131, 849, 899, 547, 9684, 519, 2696, 323, 731, 3047, 7070, 4578, 543, 6176, 7896, 4741, 585, 3246, 519, 631, 2207, 6938, 556, 534, 4519, 1239, 563, 16978, 3055, 24045, 1570, 454, 19350, 568, 519, 3095, 547, 519, 5907, 24045, 1570, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 289, 320, 1846, 523, 267, 631, 1421, 12794, 1513, 2742, 267, 681, 12282, 1421, 11709, 5548, 6577, 267, 589, 12282, 269, 1696, 620, 269, 27275, 4201, 4379, 15420, 538, 2104, 5375, 2342, 609, 513, 15911, 9533, 7909, 269, 29725, 667, 2106, 476, 3393, 267, 476, 280, 5392, 1700, 280, 5038, 630, 1001, 276, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 19740, 11025, 268, 26522, 268, 22446, 280, 268, 279, 454, 268, 8693, 1689, 454, 268, 23427, 7814, 2158, 454, 268, 6987, 7806, 7211, 5912, 454, 268, 24953, 694, 2424, 0, 10214, 1498, 3348, 529, 568, 711, 513, 5758, 267, 513, 2875, 1869, 1058, 1331, 513, 5758, 540, 519, 3312, 1257, 269, 898, 568, 2565, 547, 2057, 3877, 269, 589, 5758, 270, 629, 5724, 1058, 19582, 1100, 811, 982, 835, 5037, 269, 1879, 2324, 593, 707, 3348, 529, 7440, 267, 3314, 827, 519, 9355, 267, 1118, 621, 6654, 1018, 596, 2119, 547, 6655, 1210, 2241, 1893, 543, 1557, 2497, 269, 5675, 513, 8865, 5530, 5811, 1923, 12891, 5112, 5675, 4741, 5675, 513, 8865, 5530, 5811, 589, 2013, 1353, 2079, 3340, 596, 547, 8495, 513, 1870, 1966, 267, 4983, 519, 4244, 3435, 267, 543, 15974, 519, 1034, 2500, 3070, 1210, 5885, 2963, 269, 3194, 20929, 281, 4985, 547, 3194, 281, 11879, 17352, 5675, 513, 11879, 5623, 630, 2704, 569, 5459, 4787, 2940, 267, 634, 5675, 10418, 267, 772, 540, 17842, 693, 25753, 28386, 264, 634, 3883, 5623, 610, 9137, 7600, 1664, 630, 300, 1173, 15756, 1160, 551, 518, 267, 5675, 8081, 267, 2160, 540, 17842, 264, 11879, 17352, 540, 4750, 15080, 630, 15463, 6975, 595, 719, 1206, 267, 2160, 540, 22598, 264, 5675, 513, 11879, 5623, 630, 763, 5675, 10418, 267, 10348, 781, 2160, 264, 12834, 1299, 11879, 15863, 910, 3733, 22967, 20459, 619, 2593, 12834, 1299, 11879, 15863, 769, 707, 3105, 23531, 594, 1576, 267, 596, 949, 723, 1044, 2838, 547, 2347, 513, 12834, 543, 16200, 15863, 4828, 267, 6998, 596, 547, 17412, 543, 4431, 547, 519, 1603, 540, 1866, 267, 1210, 2110, 1806, 543, 23278, 4925, 689, 938, 707, 1378, 2729, 547, 1489, 707, 6114, 563, 1692, 547, 3503, 513, 11879, 5811, 540, 513, 10374, 9452, 1923, 14271, 7716, 454, 1692, 547, 3503, 513, 3883, 7797, 281, 5153, 8386, 28157, 5675, 6651, 1358, 616, 811, 7294, 10467, 982, 1164, 1153, 4574, 269, 1215, 547, 2328, 513, 1433, 1867, 2852, 1377, 286, 634, 3268, 538, 1603, 713, 1826, 540, 7084, 585, 2852, 616, 2965, 519, 1482, 607, 950, 2870, 513, 1957, 585, 1164, 1153, 269, 1809, 2852, 7400, 4574, 2154, 602, 596, 1058, 2328, 513, 1433, 5758, 543, 1683, 2565, 2079, 610, 6268, 540, 519, 3267, 1215, 547, 3503, 513, 22414, 5811, 1215, 547, 3503, 513, 22414, 5811, 10801, 707, 4081, 4876, 267, 596, 3513, 581, 4280, 547, 2328, 4574, 538, 799, 596, 5635, 543, 4334, 1079, 1919, 281, 1079, 5931, 267, 1079, 6436, 267, 1079, 3140, 5515, 267, 1079, 3621, 3157, 267, 543, 865, 593, 269, 4635, 513, 11660, 4750, 9137, 547, 3503, 513, 11879, 5623, 3267, 5675, 513, 2565, 2689, 540, 513, 4760, 2376, 666, 948, 547, 2087, 707, 1382, 1983, 269, 1635, 12570, 519, 960, 540, 1866, 267, 596, 1020, 1983, 607, 513, 2565, 5467, 543, 1831, 5432, 609, 519, 2010, 540, 6268, 7355, 602, 786, 581, 4294, 547, 1382, 538, 707, 19509, 15505, 543, 3976, 707, 1378, 1382, 563, 2304, 15845, 2861, 7797, 24439, 513, 11879, 21261, 281, 16340, 569, 6340, 267, 972, 616, 1079, 2010, 540, 1603, 281, 6609, 543, 4661, 269, 769, 1603, 606, 2963, 2861, 1867, 267, 596, 616, 10503, 707, 3406, 585, 519, 2963, 543, 1818, 606, 4661, 602, 5012, 547, 519, 16252, 4433, 264, 596, 1118, 538, 707, 3932, 563, 3086, 267, 513, 2565, 5758, 568, 1454, 899, 513, 2689, 281, 596, 2285, 513, 5758, 609, 930, 31886, 593, 32330, 2798, 269, 15394, 835, 540, 519, 2609, 2337, 547, 3715, 519, 6249, 269, 1215, 547, 3503, 513, 11879, 4828, 281, 20895, 1862, 1923, 8382, 4537, 1046, 2593, 910, 5675, 11879, 1603, 786, 2154, 519, 5856, 547, 9691, 2708, 519, 1557, 2243, 267, 607, 1134, 607, 454, 1692, 547, 3503, 513, 28414, 5811, 4828, 630, 25456, 609, 20895, 994, 1692, 547, 3503, 513, 11879, 5811, 4828, 2443, 29216, 32487, 269, 4467, 2052, 1405, 4137, 856, 875, 547, 2328, 513, 2565, 2079, 1557, 286, 1284, 616, 1934, 547, 948, 596, 856, 256, 6875, 930, 4388, 689, 4966, 543, 1831, 606, 1557, 4487, 269, 476, 275, 14168, 18467, 547, 3503, 513, 11879, 5811, 630, 5976, 24436, 994, 1692, 547, 3503, 513, 11879, 5811, 4828, 910, 3905, 268, 22967, 2593, 454, 21980, 3894, 585, 5675, 513, 8865, 5530, 5811, 269, 589, 2013, 1353, 2079, 3340, 596, 547, 8495, 513, 1870, 1966, 267, 4983, 519, 4244, 3435, 267, 543, 15974, 519, 1034, 2500, 3070, 1210, 5885, 2963, 269, 7300, 654, 6020, 16249, 589, 595, 6020, 22310, 11555, 26177, 910, 808, 290, 308, 5245, 547, 1174, 519, 2565, 16555, 602, 5205, 269, 634, 5758, 1058, 581, 1547, 6662, 543, 1058, 711, 1331, 1022, 2123, 7664, 610, 4901, 269, 769, 513, 1382, 1759, 2376, 267, 9034, 1047, 1142, 3296, 540, 519, 2376, 269, 634, 3483, 540, 519, 16472, 568, 547, 2769, 707, 21520, 543, 8292, 827, 519, 1603, 596, 616, 17265, 269, 9137, 5623, 6201, 1923, 14288, 20055, 14492, 5623, 532, 606, 2376, 568, 711, 607, 2653, 607, 621, 4992, 281, 621, 3340, 513, 2565, 2247, 543, 3257, 930, 3063, 1382, 269, 6744, 856, 938, 2376, 2689, 5439, 547, 2744, 513, 1732, 1620, 540, 875, 547, 2689, 4930, 3054, 269, 1215, 547, 3503, 589, 11879, 2398, 2946, 30241, 2659, 7905, 4024, 8550, 1280, 1326, 1215, 547, 3503, 589, 11879, 2398, 2946, 30241, 2659, 7905, 4024, 8550, 1280, 1326, 2904, 476, 275, 267, 476, 1001, 278, 25849, 906, 2073, 5675, 19375, 17713, 7288, 589, 2565, 929, 2946, 30241, 568, 513, 1826, 540, 4081, 1603, 1141, 596, 17412, 1776, 4062, 540, 1257, 267, 922, 1292, 2093, 543, 7440, 267, 538, 1880, 267, 547, 1683, 5813, 883, 922, 2278, 781, 5098, 4586, 16240, 13229, 12834, 543, 15863, 10749, 269, 634, 12834, 281, 589, 5758, 568, 513, 13801, 22950, 19189, 540, 782, 519, 1292, 2093, 538, 606, 1557, 269, 898, 524, 2572, 519, 2278, 543, 519, 2140, 630, 17141, 538, 519, 1101, 4845, 5148, 621, 3568, 519, 1557, 781, 5098, 543, 5885, 2093, 282, 621, 949, 946, 1463, 19722, 540, 3196, 995, 610, 13801, 6898, 540, 519, 2278, 781, 2093, 282, 621, 786, 10691, 2356, 13712, 519, 2278, 781, 1806, 610, 5885, 3267, 27910, 24687, 281, 7083, 540, 519, 4469, 625, 281, 1215, 547, 3503, 16520, 5811, 1215, 547, 3503, 16520, 5811, 634, 16520, 4828, 281, 589, 5153, 8386, 28157, 6651, 269, 1879, 596, 1224, 585, 12257, 267, 707, 1152, 3804, 568, 18399, 269, 1411, 1522, 1265, 3054, 2542, 547, 1205, 9575, 909, 538, 606, 3078, 1650, 267, 547, 1451, 827, 606, 4277, 942, 610, 1747, 267, 610, 1175, 547, 1780, 942, 269, 476, 279, 11879, 18467, 1677, 13724, 2659, 1763, 2541, 910, 585, 15816, 2593, 4924, 476, 6021, 267, 476, 1001, 277, 5788, 5675, 513, 3532, 759, 636, 2946, 814, 2760, 1044, 2653, 269, 1809, 538, 2221, 781, 2228, 267, 5985, 543, 10509, 12454, 7694, 5251, 267, 621, 781, 2523, 4101, 269, 2334, 781, 1946, 621, 781, 2565, 547, 1451, 875, 547, 3267, 5675, 513, 2565, 813, 26150, 910, 15845, 2861, 5959, 2259, 3267, 0, 2237, 606, 1401, 1842, 7480, 4828, 910, 6201, 1299, 11762, 1923, 5384, 275, 16240, 901, 1900, 8386, 9912, 3391, 593, 16878, 1603, 2882, 16878, 1557, 1806, 267, 1557, 14592, 267, 1888, 2093, 267, 543, 4388, 269, 1401, 1842, 7480, 10749, 12262, 8830, 16746, 5675, 6997, 10705, 2053, 267, 1053, 616, 2838, 547, 2328, 16878, 3594, 609, 2370, 610, 1100 ]

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

[ 24235, 269, 898, 779, 942, 547, 1376, 2679, 707, 8878, 269, 0, 763, 11335, 2732, 666, 6175, 1981, 540, 782, 2275, 1021, 543, 9025, 9019, 538, 2550, 609, 10894, 6794, 267, 2687, 547, 1382, 3370, 538, 4144, 2896, 1108, 543, 5450, 20326, 6794, 563, 763, 11335, 2732, 267, 3989, 607, 513, 2732, 3638, 538, 5388, 267, 5613, 267, 3165, 267, 9274, 267, 22053, 267, 543, 14462, 3282, 267, 814, 1044, 3254, 547, 581, 2404, 609, 6454, 538, 7378, 4187, 538, 2550, 609, 8377, 269, 3958, 267, 621, 568, 6225, 538, 3119, 6604, 540, 19473, 4592, 13406, 5328, 9025, 2068, 630, 3008, 290, 13748, 1040, 1306, 891, 22074, 14626, 728, 538, 1346, 609, 10894, 6794, 630, 18404, 306, 1070, 3173, 6322, 547, 8495, 519, 2360, 540, 519, 11335, 2732, 15984, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 2550, 609, 5450, 306, 269, 3958, 267, 3173, 11117, 519, 4745, 2360, 540, 519, 11335, 2732, 267, 25161, 2623, 267, 543, 4965, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 1004, 609, 5450, 306, 563, 288, 17053, 20165, 1353, 729, 5342, 1210, 1239, 689, 634, 2817, 2657, 543, 12594, 22410, 11752, 630, 26822, 3198, 2464, 264, 689, 476, 1220, 278, 547, 476, 1001, 279, 267, 799, 568, 11347, 540, 519, 1977, 2551, 269, 5450, 306, 729, 6353, 2687, 547, 519, 4139, 12128, 18966, 563, 3849, 11447, 547, 11335, 2732, 729, 7229, 1210, 519, 4244, 11335, 2732, 4994, 630, 320, 300, 3633, 5148, 2949, 703, 1389, 540, 5613, 267, 5388, 267, 9274, 267, 3165, 267, 2699, 543, 9268, 5779, 267, 5223, 540, 1395, 10494, 18260, 547, 15459, 3170, 267, 543, 4568, 1543, 941, 12290, 547, 5173, 15984, 269, 634, 513, 300, 3633, 6060, 267, 10834, 875, 5702, 513, 1268, 740, 22363, 547, 519, 2732, 729, 26987, 609, 513, 2039, 540, 476, 271, 547, 476, 280, 630, 10964, 578, 11667, 267, 513, 300, 3633, 8464, 540, 476, 271, 547, 476, 274, 282, 11667, 267, 513, 300, 3633, 6060, 540, 476, 275, 282, 1657, 11667, 267, 513, 300, 3633, 8464, 547, 476, 276, 547, 476, 280, 1040, 634, 6820, 8447, 11314, 7726, 32666, 630, 294, 5183, 304, 264, 729, 8246, 585, 5171, 547, 1867, 741, 2168, 2534, 282, 519, 2168, 1072, 18102, 630, 15771, 304, 268, 280, 264, 729, 2016, 547, 2708, 585, 19591, 2589, 267, 15951, 538, 30883, 3796, 593, 513, 4336, 540, 476, 272, 547, 476, 2767, 563, 288, 2698, 540, 476, 279, 1789, 272, 5396, 941, 3769, 538, 519, 3803, 2079, 267, 609, 513, 11667, 1246, 5346, 942, 540, 476, 277, 269, 274, 1296, 269, 19893, 609, 606, 1657, 11667, 513, 8469, 6060, 941, 4587, 267, 1185, 513, 3648, 4130, 22765, 18592, 267, 543, 1185, 2362, 1164, 29213, 9067, 29952, 8501, 2157, 269, 3958, 267, 741, 11326, 941, 2539, 538, 5779, 4616, 543, 2362, 538, 5388, 267, 5613, 267, 2898, 9274, 267, 10808, 543, 16872, 269, 589, 2539, 6871, 540, 19591, 2589, 941, 849, 1336, 538, 713, 1895, 563, 290, 2135, 9695, 2079, 585, 782, 2275, 1021, 543, 9025, 9019, 538, 5450, 306, 5171, 1336, 602, 11667, 543, 1657, 11667, 513, 300, 3633, 6060, 267, 2168, 2534, 267, 2126, 585, 13119, 267, 543, 2126, 585, 3987, 941, 782, 3648, 2404, 609, 513, 2539, 1981, 540, 782, 2275, 1021, 9019, 269, 12870, 267, 7296, 267, 543, 25161, 2623, 941, 782, 2404, 609, 513, 2362, 1981, 540, 585, 782, 2275, 1021, 9019, 563, 1805, 7806, 4328, 5171, 2687, 547, 513, 300, 3633, 6060, 543, 2168, 2623, 267, 5171, 609, 513, 2630, 11667, 513, 300, 3633, 6060, 609, 25161, 2623, 1185, 519, 5207, 1981, 540, 782, 2275, 1021, 9019, 630, 327, 1794, 731, 5223, 1496, 16281, 3910, 476, 273, 269, 3393, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 3445, 268, 274, 269, 1704, 282, 623, 284, 269, 876, 1040, 3143, 3017, 538, 15679, 729, 1336, 1063, 2516, 602, 941, 20060, 539, 23358, 1369, 782, 512, 1068, 3796, 540, 513, 300, 3633, 8464, 269, 15706, 609, 513, 1970, 513, 300, 3633, 6060, 945, 941, 25161, 1185, 519, 5207, 1981, 540, 9025, 9019, 630, 16281, 267, 476, 273, 269, 11011, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6507, 268, 275, 269, 8064, 282, 623, 815, 269, 876, 1040, 589, 2539, 18985, 6060, 729, 1336, 547, 581, 606, 4830, 1981, 3815, 585, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 2767, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 876, 268, 272, 269, 2568, 282, 623, 284, 269, 4962, 1070, 11744, 513, 1164, 7779, 11335, 2732, 949, 22887, 10663, 782, 2275, 1021, 9019, 538, 5450, 779, 2550, 1510, 25161, 2623, 563, 8802, 1833, 2079, 585, 782, 2275, 1021, 543, 9025, 9019, 538, 1114, 8192, 5049, 609, 543, 1510, 4965, 1336, 602, 2550, 609, 513, 2539, 11439, 2732, 6060, 1510, 4965, 1185, 606, 2799, 15679, 585, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 2767, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 6860, 268, 272, 269, 4649, 282, 623, 284, 269, 6349, 264, 3379, 609, 2043, 609, 513, 2362, 18985, 6060, 1510, 4965, 267, 1129, 4328, 602, 513, 2539, 7779, 11335, 2732, 538, 1346, 1510, 4965, 4679, 782, 2275, 1021, 9019, 269, 6684, 267, 1346, 609, 4965, 609, 2539, 11439, 8464, 1185, 519, 5207, 1981, 540, 782, 2275, 1021, 9019, 630, 16281, 267, 476, 272, 269, 9032, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 3393, 268, 272, 269, 29483, 282, 623, 815, 269, 876, 1916, 2750, 600, 1456, 3334, 540, 519, 11335, 2732, 543, 741, 9295, 547, 782, 2275, 1021, 543, 9025, 9019, 267, 4189, 811, 5388, 267, 22053, 267, 10808, 267, 543, 3536, 609, 513, 1164, 1395, 10494, 18260, 9761, 3679, 547, 15459, 9761, 3679, 5223, 729, 2404, 609, 513, 2539, 782, 2275, 1021, 9019, 267, 1310, 14577, 585, 2085, 267, 3023, 267, 5198, 267, 2069, 267, 7296, 267, 543, 9025, 2068, 269, 589, 2362, 10448, 6981, 729, 1336, 547, 581, 3648, 2404, 609, 513, 2539, 9025, 9019, 607, 1134, 563, 21918, 14591, 540, 519, 1353, 1331, 519, 4015, 540, 23656, 919, 689, 19760, 3198, 2464, 26830, 267, 538, 799, 930, 4632, 616, 7508, 543, 666, 1291, 547, 513, 5786, 540, 519, 3769, 2551, 269, 3958, 267, 607, 8192, 1239, 729, 6394, 676, 18102, 267, 972, 949, 723, 1044, 27753, 1063, 8192, 1239, 1063, 5171, 543, 19760, 3198, 2464, 5967, 619, 563, 2108, 2507, 14683, 7779, 610, 9793, 7779, 11335, 2732, 1223, 22887, 10663, 267, 1256, 9258, 519, 8801, 2360, 540, 25161, 2623, 543, 4965, 593, 782, 2275, 1021, 543, 9025, 9019, 538, 5171, 609, 10742, 2223, 519, 1353, 4589, 5206, 563, 293, 534, 670, 267, 15651, 962, 267, 11412, 2098, 267, 1696, 620, 269, 11335, 2732, 24506, 782, 2275, 1021, 543, 9025, 9019, 585, 2550, 609, 10894, 6794, 269, 4144, 12185, 8585, 629, 590, 785, 269, 15618, 2228, 2904, 476, 2537, 267, 476, 1708, 274, 269, 8222, 281, 1015, 269, 14093, 277, 4882, 9873, 7176, 268, 271, 2537, 268, 18089, 7367, 268, 278 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 15610, 15178, 7650, 563, 268, 1715, 8050, 5291, 2517, 21745, 1388, 7456, 756, 269, 548, 14683, 12975, 14121, 7434, 270, 3286, 2305, 270, 2908, 4944, 664, 13045, 268, 634, 9085, 540, 3807, 2305, 1788, 267, 6236, 875, 8050, 20582, 2921, 7111, 1977, 2244, 543, 1818, 2112, 563, 268, 715, 2975, 3198, 631, 8008, 15121, 308, 288, 267, 519, 3312, 2473, 9654, 11416, 2871, 611, 2728, 701, 21485, 338, 15457, 1431, 1650, 5291, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1220, 278, 1015, 13136, 275, 2537, 2764, 270, 4178, 269, 5793, 1663, 701, 2593, 6230, 343, 14672, 4618, 3887, 11258, 454, 268, 2296, 8144, 540, 519, 1650, 540, 519, 7910, 543, 20844, 17630, 563, 268, 18112, 4302, 267, 6424, 269, 834, 289, 691, 565, 558, 2946, 632, 15255, 16629, 553, 281, 589, 16684, 20895, 540, 3571, 5020, 543, 8534, 257, 5291, 2517, 4178, 7456, 2444, 553, 553, 3820, 27651, 21867, 454, 268, 20098, 16629, 553, 267, 1634, 607, 519, 4347, 2658, 540, 519, 12075, 267, 729, 513, 2178, 5639, 10912, 585, 606, 1439, 547, 5053, 5208, 538, 3870, 540, 267, 607, 674, 2001, 17630, 3081, 538, 519, 4670, 267, 840, 2286, 676, 1383, 563, 268, 3776, 15248, 540, 2871, 611, 2728, 701, 5291, 2517, 4178, 4732, 534, 551, 320, 3820, 270, 842, 549, 11258, 454, 268, 1323, 1383, 540, 4207, 20174, 547, 519, 7826, 12624, 31001, 563, 268, 634, 10671, 518, 574, 1304, 334, 630, 14681, 271, 264, 5291, 2517, 22852, 6155, 1157, 8657, 12975, 270, 260, 278, 292, 4011, 2471, 270, 4910, 1545, 7304, 3225, 518, 574, 1304, 334, 21867, 454, 268, 589, 21001, 24229, 15178, 5650, 21494, 569, 25282, 676, 519, 5053, 267, 713, 3561, 267, 17116, 12638, 543, 8474, 543, 14053, 31302, 19169, 543, 14336, 4800, 267, 729, 547, 581, 1224, 547, 4095, 2516, 593, 1101, 3346, 269, 589, 13497, 29695, 1383, 540, 875, 519, 5053, 5701, 519, 12075, 563, 268, 12142, 20844, 17630, 281, 589, 7844, 540, 9966, 1006, 5291, 2517, 4178, 4732, 534, 551, 320, 3820, 270, 9857, 663, 773, 2998, 11258, 454, 268, 1323, 1383, 540, 20174, 547, 519, 1101, 6805, 23920, 267, 519, 4095, 547, 7247, 519, 7910, 540, 2871, 611, 2728, 701, 7902, 563, 268, 590, 16184, 619, 267, 623, 269, 834, 4462, 548, 4770, 10369, 17086, 281, 634, 4317, 8889, 20480, 540, 11633, 9534, 1701, 1133, 1161, 31772, 540, 1715, 3162, 12986, 4521, 4750, 476, 3066, 269, 272, 630, 1220, 277, 1040, 5291, 2517, 4178, 18502, 755, 2993, 328, 12975, 28898, 270, 879, 10768, 712, 11594, 270, 7419, 14684, 299, 297, 270, 1220, 277, 270, 277, 11258, 454, 268, 590, 16184, 619, 6941, 29724, 2000, 28515, 1143, 543, 875, 621, 5540, 2518, 6990, 269, 9282, 1010, 8100, 616, 3335, 538, 6935, 547, 8241, 6214, 267, 519, 5467, 666, 2744, 606, 1620, 540, 683, 565, 28515, 1143, 9789, 2804, 3609, 602, 5337, 1243, 519, 2098, 777, 520, 16695, 15141, 687, 563, 268, 9484, 592, 1386, 320, 267, 20844, 717, 514, 15530, 1546, 269, 19391, 919, 1325, 614, 267, 2107, 267, 593, 519, 3807, 15486, 585, 2782, 18830, 519, 12075, 269, 5291, 2517, 4178, 31815, 3518, 807, 12975, 270, 659, 529, 270, 1115, 270, 6717, 3918, 4696, 270, 572, 335, 592, 1386, 21867, 454, 268, 20844, 717, 1149, 632, 9484, 592, 1386, 320, 729, 513, 5053, 17308, 945, 7722, 538, 513, 4583, 4571, 268, 1428, 628, 2540, 7521, 609, 19258, 565, 727, 632, 20098, 16629, 553, 936, 519, 2924, 540, 519, 12075, 269, 29336, 553, 1723, 814, 1767, 602, 9484, 592, 1386, 320, 4564, 519, 5784, 602, 674, 2001, 17630, 4547, 547, 6792, 538, 519, 4098, 540, 519, 4670, 269, 6423, 1657, 585, 513, 5758, 540, 9484, 592, 1386, 320, 781, 7440, 563, 268, 590, 1069, 517, 676, 21293, 632, 8053, 525, 16394, 630, 14681, 272, 264, 5291, 2517, 4178, 6155, 580, 1388, 20931, 269, 7795, 12975, 270, 14048, 318, 20931, 4882, 335, 664, 4882, 335, 664, 8548, 2632, 525, 16394, 6983, 325, 332, 454, 268, 634, 4583, 28005, 517, 602, 12153, 20098, 16629, 553, 781, 834, 935, 11437, 2437, 538, 799, 8053, 525, 16394, 31234, 519, 8103, 540, 519, 7111, 4892, 563, 268, 20961, 267, 1323, 1575, 269, 834, 288, 10021, 518, 593, 3026, 565, 28515, 1143, 1701, 6820, 12983, 476, 2420, 4119, 269, 476, 1001, 271, 269, 5680, 269, 476, 2767, 4924, 269, 476, 1001, 273, 269, 5291, 2517, 4178, 3052, 331, 2128, 1170, 1132, 3820, 270, 14835, 270, 4375, 21669, 17376, 25534, 6823, 16250, 565, 28515, 1143, 563, 268, 6820, 1170, 1132, 3820, 568, 606, 2228, 8313, 267, 23185, 5631, 676, 28479, 766, 5830, 267, 602, 2337, 547, 8774, 1769, 593, 2152, 1472, 519, 1158, 689, 513, 3099, 540, 5380, 269, 20961, 781, 2376, 3877, 29724, 2000, 28515, 1143, 543, 519, 605, 781, 543, 598, 781, 540, 519, 2804, 3609, 538, 875, 621, 12211, 547, 2477, 540, 1585, 2804, 6617, 269, 634, 2376, 568, 5097, 605, 683, 565, 28515, 1143, 267, 855, 621, 1281, 5905, 2390, 519, 30852, 540, 519, 1062, 563, 268, 31187, 632, 21563, 2592, 540, 20098, 16629, 553, 269, 5291, 2517, 21745, 1388, 7456, 756, 269, 548, 14683, 12975, 14121, 7434, 270, 3286, 2305, 270, 2908, 4944, 664, 270, 13548, 270, 272, 13045, 268, 1546, 21563, 781, 2592, 834, 16647, 983, 1242, 257, 519, 3520, 5558, 1739, 6602, 602, 19258, 565, 727, 632, 20098, 16629, 553, 22281, 539, 538, 1010, 16684, 20121, 2315, 540, 519, 28851, 563, 268, 31187, 1546, 21563, 781, 16503, 5928, 585, 19258, 565, 727, 632, 20098, 16629, 553, 781, 10374, 10055, 540, 519, 20121, 2315, 540, 519, 28851, 5291, 2517, 4178, 269, 548, 14683, 12975, 270, 260, 278, 292, 324, 329, 326, 272, 7933, 665, 15828, 2444, 553, 553, 11305, 553, 553, 21867, 454, 268, 6271, 4015, 540, 2592, 18913, 20098, 16629, 553, 781, 1257, 563, 268, 9504, 20334, 269, 834, 289, 691, 565, 558, 2946, 632, 15255, 16629, 553, 1701, 9504, 267, 634, 5131, 15610, 269, 476, 2918, 4924, 269, 476, 1001, 271, 269, 5680, 269, 476, 272, 3057, 269, 476, 1001, 271, 269, 5291, 2517, 523, 25769, 3820, 28293, 20324, 691, 565, 558, 260, 290, 274, 260, 288, 280, 318, 1372, 9078, 553, 318, 290, 553, 553, 454, 268, 589, 22510, 2656, 2272, 540, 20098, 16629, 553, 267, 519, 9976, 4347, 2658, 540, 519, 12075, 267, 606, 3140, 4137, 1572, 547, 2247, 950, 674, 2001, 17630, 8992, 840, 2286, 676, 1383, 2864, 982, 1210, 3196, 1996, 519, 12075, 563, 268, 1990, 777, 520, 626, 732, 23728, 2593, 5291, 2517, 4178, 269, 345, 777, 520, 626, 732, 23728, 2593, 15828, 3855, 11258, 454, 268, 6435, 995, 4015, 540, 6402, 547, 713, 11204, 7111, 1977, 3350, 609, 4171, 2489, 6663, 30571, 29336, 553, 1723, 5128, 814, 2404, 1010, 4670, 269, 0, 24257, 12745, 568, 513, 1305, 454, 9563, 1411, 616, 6340, 538, 519, 13737, 269, 1684, 596, 1611, 547, 454, 9563, 17538, 602, 602, 568, 513, 2582, 3364, 1572, 454, 9563, 834, 935, 3667, 257, 799, 568, 513, 2608, 4820, 7781, 265, 1305, 888, 285, 291, 301, 281, 634, 6073, 538, 799, 16671, 4811, 1705, 713, 568, 547, 3715, 972, 941, 476, 279, 2101, 454, 285, 2399, 832, 602, 6766, 519, 6073, 538, 799, 513, 20902, 1239, 3693, 454, 285, 935, 1061, 3587, 513, 1360, 1808, 1239, 3693, 269, 901, 729, 5219, 547, 607, 519, 454, 285, 935, 3667, 799, 22466, 513, 1305, 540, 1919, 269, 898, 729, 16363, 1875, 7721, 5477, 607, 972, 454, 285, 13195, 1100, 1259, 547, 917, 952, 621, 729, 2347, 563, 24257, 540, 4642, 610, 811, 4018, 13294, 454, 9563, 1548, 568, 513, 1412, 23974, 8595, 262, 888, 285, 291, 301, 281, 898, 568, 513, 6167, 270, 4753, 293, 16898, 2165, 269, 898, 10199, 18922, 547, 606, 5007, 3196, 610, 454, 285, 553, 788, 551, 540, 2796, 630, 4905, 994, 310, 7159, 269, 1411, 616, 1934, 10747, 834, 935, 3667, 2668, 1411, 3112, 9029, 547, 606, 454, 262, 553, 1051, 540, 2796, 262, 538, 519, 1360, 4214, 540, 2796, 269, 630, 6349, 994, 285, 6518, 814, 513, 29286, 1198, 593, 519, 3236, 1373, 454, 17764, 267, 1134, 1287, 602, 568, 2484, 1932, 12145, 607, 851, 540, 513, 2489, 454, 3698, 6873, 267, 607, 8658, 666, 798, 2484, 811, 982, 713, 269, 589, 17187, 454, 935, 3667, 267, 585, 1383, 267, 666, 6338, 9988, 883, 519, 1455, 2666, 454, 7474, 941, 711, 1459, 1354, 269, 769, 7261, 322, 781, 1412, 332, 2222, 1492, 800, 262, 2070, 540, 454, 935, 3667, 338, 267, 513, 2796, 666, 1689, 519, 2495, 540, 513, 2262, 538, 1082, 2081, 2676, 2254, 2141, 25516, 269, 630, 6860, 994, 285, 7151, 281, 1403, 594, 993, 606, 3236, 540, 519, 1480, 1362, 630, 16341, 2161, 713, 454, 285, 332, 697, 581, 513, 12701, 1070, 543, 729, 538, 4516, 267, 713, 2306, 803, 513, 8225, 1480, 2676, 285, 7424, 811, 1808, 982, 513, 6071, 1480, 563, 24257, 602, 1860, 1585, 3344, 540, 454, 24257, 519, 5033, 24939, 540, 513, 2016, 3948, 563, 9563, 2986, 519, 5033, 24939, 610, 540, 519, 2495, 888, 285, 291, 301, 281, 13018, 538, 6167, 270, 4753, 293, 16898, 2474, 267, 621, 1110, 5809, 519, 5033, 24939, 676, 1818, 519, 454, 285, 27349, 811, 7463, 585, 519, 1808, 2796, 269, 589, 13598, 4266, 1239, 454, 285, 324, 2211, 666, 581, 15568, 543, 28653, 547, 581, 513, 834, 303, 21332, 24576, 2529, 1222, 6185, 622, 4840, 285, 6518, 568, 513, 1826, 540, 4266, 602, 3217, 593, 3606, 4162, 563, 285, 9616, 602, 782, 540, 519, 18631, 616, 2944, 1282, 519, 9781, 960, 547, 13217, 454, 285, 5471, 20631, 676, 1818, 519, 5033, 24939, 540, 1239, 2609, 811, 7463, 269, 630, 4962, 994, 308, 332, 1862, 594, 1589, 649, 616, 693, 3444, 5301, 827, 1018, 834, 9895, 24939, 257, 1797, 563, 1103, 1250, 2474, 267, 9039, 540, 713, 2242, 519, 5033, 24939, 630, 514, 1249, 267, 621, 1131, 581, 454, 4820, 540, 519, 5033, 24939, 1040, 1809, 15528, 267, 594, 1205, 519, 2856, 269, 630, 6187, 994, 24257, 7756, 2796, 4018, 13294, 666, 1764, 454, 24257, 835, 610, 811, 3344, 540, 519, 5033, 24939, 540, 971, 6898, 1519, 454, 24257, 6041, 2474, 543, 2035, 563, 24257, 589, 4837, 540, 1216, 454, 9563, 1548, 568, 713, 606, 1383, 540, 286, 1772, 519, 4837, 540, 1216, 454, 9563, 519, 1888, 540, 606, 23835, 1108, 267, 610, 606, 1383, 540, 513, 454, 9563, 6041, 540, 1945, 888, 285, 291, 301, 281, 1323, 3236, 540, 513, 1362, 540, 2901, 513, 30953, 540, 23835, 1108, 269, 630, 5881, 994, 10498, 267, 594, 1294, 269, 634, 1362, 540, 14296, 540, 1216, 269, 1809, 835, 3112, 1294, 513, 1362, 2676, 528, 723, 621, 9361, 593, 835, 781, 10051, 3349, 269, 630, 5400, 994, 285, 12344, 713, 454, 285, 529, 711, 519, 1655, 1383, 607, 594, 7074, 1310, 594, 5206, 621, 563, 24257, 12745, 835, 912, 24257, 19371, 540, 1216, 568, 9361, 593, 707, 10051, 3349, 269, 1677, 519, 3328, 5375, 454, 24257, 20626, 267, 621, 568, 3833, 538, 621, 781, 1747, 538, 713, 2796, 543, 568, 711, 6659, 538, 454, 24257, 835, 781, 4835, 24042, 8637, 563, 9563, 7790, 286, 1548, 4835, 24042, 8637, 616, 596, 6158, 454, 9563, 827, 286, 594, 1360, 1454, 8969, 952, 1250, 2634, 1568, 1210, 454, 9563, 681, 5263, 269, 1656, 1018, 1281, 1412, 571, 1047, 262, 1611, 888, 285, 291, 301, 281, 606, 21658, 547, 2161, 602, 596, 1131, 711, 6318, 621, 538, 707, 2489, 1377, 540, 454, 285, 10277, 1145, 538, 713, 2796, 607, 972, 568, 4986, 602, 16716, 596, 607, 8966, 610, 454, 285, 719, 540, 1747, 269, 744, 307, 15121, 267, 952, 596, 941, 1360, 19818, 344, 267, 596, 949, 5612, 4368, 622, 454, 285, 20365, 3007, 593, 713, 1843, 269, 630, 6021, 994, 10498, 267, 855, 1018, 814, 782, 713, 3893, 547, 798, 609, 1018, 630, 296, 2219, 264, 649, 941, 454, 339, 22736, 827, 286, 630, 18089, 994, 6630, 310, 267, 596, 1522, 1265, 713, 4277, 267, 922, 513, 2565, 5619, 594, 5206, 454, 1721, 835, 540, 519, 2796, 11925, 513, 1906, 1296, 3516, 267, 543, 2306, 513, 1906, 454, 23251, 18728, 799, 616, 4143, 1934, 269, 630, 18733, 994, 285, 23645, 10417, 281, 1216, 267, 1079, 6675, 540, 7250, 3808, 547, 835, 540, 454, 285, 2135, 4723, 538, 513, 4837, 454, 24257, 667, 836, 2730, 281, 7654, 454, 24257, 3557, 281, 5277, 454, 24257, 2422, 281, 844, 523, 4221, 19818, 454, 24257, 7136, 281, 827, 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 ]

[ 670, 5960, 5742, 941, 856, 1586, 538, 519, 1647, 540, 519, 3923, 269, 2201, 476, 736, 628, 267, 670, 5960, 23433, 2073, 950, 22215, 513, 5996, 1195, 538, 513, 6366, 9350, 267, 729, 2938, 1354, 20590, 543, 729, 4831, 16091, 609, 12964, 3178, 10997, 269, 2701, 729, 2938, 1586, 950, 22215, 1776, 5996, 1195, 543, 729, 1586, 16271, 547, 606, 4323, 676, 3178, 10997, 267, 930, 540, 799, 941, 9296, 3228, 2406, 2673, 269, 2608, 295, 5960, 772, 1440, 697, 630, 299, 773, 23133, 23404, 654, 571, 603, 681, 301, 264, 4718, 4986, 267, 855, 670, 5960, 5742, 630, 299, 773, 23133, 681, 300, 717, 9994, 599, 681, 301, 1070, 1310, 8289, 532, 5996, 9081, 856, 540, 2039, 593, 476, 1015, 628, 543, 476, 736, 628, 267, 16091, 513, 3791, 593, 476, 2420, 526, 20590, 1614, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 6344, 271, 18126, 543, 29855, 623, 2884, 549, 2372, 518, 7236, 540, 476, 1911, 275, 9748, 563, 295, 5960, 772, 3464, 3121, 630, 299, 773, 23133, 589, 297, 27963, 20044, 773, 681, 301, 264, 729, 593, 29862, 1055, 25676, 10008, 693, 519, 4098, 540, 4873, 855, 1352, 8120, 8900, 19942, 1310, 7508, 21471, 9635, 593, 476, 2767, 628, 543, 476, 4029, 560, 2904, 693, 476, 7742, 271, 543, 476, 5611, 271, 18126, 609, 1079, 8731, 6244, 3996, 17991, 689, 519, 10116, 693, 1142, 540, 873, 269, 769, 519, 594, 20897, 7256, 267, 670, 5960, 772, 874, 27212, 630, 852, 31924, 8121, 1261, 345, 2280, 681, 301, 264, 729, 2366, 547, 29862, 513, 17122, 1448, 1141, 519, 11507, 689, 11619, 2088, 547, 5484, 724, 21532, 543, 689, 570, 5875, 334, 547, 25676, 10008, 12969, 539, 267, 855, 1352, 1152, 4718, 513, 6413, 6928, 269, 670, 5960, 1133, 18566, 523, 630, 299, 773, 23133, 661, 288, 8381, 1189, 681, 301, 264, 1273, 9776, 519, 7532, 5032, 540, 24558, 1176, 538, 519, 1647, 540, 519, 3923, 543, 593, 476, 1626, 628, 1352, 8289, 539, 513, 1804, 561, 10719, 5045, 20129, 693, 1164, 3432, 543, 8876, 856, 513, 6024, 3500, 1990, 580, 345, 698, 269, 9050, 8731, 6244, 3996, 941, 17991, 693, 513, 2039, 540, 476, 14596, 271, 18126, 267, 855, 789, 14406, 713, 2352, 3077, 269, 2201, 476, 2537, 6113, 4873, 267, 513, 5365, 729, 1101, 1232, 7973, 539, 538, 942, 547, 581, 19500, 2390, 269, 898, 7000, 602, 2185, 13274, 619, 2407, 540, 10136, 941, 827, 547, 4734, 10878, 1255, 585, 25676, 10008, 676, 519, 18135, 1080, 540, 11619, 2088, 269, 670, 5960, 7984, 613, 729, 2907, 593, 29862, 5045, 540, 11619, 2088, 543, 2608, 295, 5960, 772, 874, 27212, 630, 28785, 31924, 2155, 6387, 11022, 654, 1678, 14979, 681, 301, 264, 543, 670, 5960, 1133, 18566, 523, 941, 693, 2899, 30774, 689, 5689, 3279, 547, 6443, 1200, 269, 1306, 519, 5996, 1195, 7153, 689, 519, 18135, 1080, 621, 729, 8185, 16091, 676, 8484, 689, 5689, 3279, 543, 5828, 1394, 547, 11619, 2088, 269, 8307, 670, 5960, 772, 874, 27212, 9575, 513, 19214, 540, 621, 607, 621, 19622, 267, 543, 1352, 1223, 711, 1205, 883, 513, 8731, 6244, 334, 20590, 2990, 269, 670, 5960, 772, 874, 27212, 729, 1287, 27416, 547, 5689, 3279, 269, 1306, 4166, 607, 1352, 1185, 8854, 267, 519, 5996, 1195, 30774, 1586, 543, 5293, 670, 5960, 7984, 613, 2073, 945, 729, 7722, 538, 606, 5106, 1996, 519, 16749, 1899, 693, 19248, 768, 2088, 267, 543, 6603, 25676, 10008, 9108, 269, 670, 5960, 7984, 613, 15354, 1200, 16710, 657, 896, 18279, 13177, 538, 1165, 21538, 593, 476, 2767, 628, 543, 789, 16309, 538, 25738, 909, 513, 5721, 538, 513, 15993, 2282, 15729, 5842, 1325, 817, 1470, 269, 18279, 3244, 12121, 5156, 602, 891, 6285, 593, 519, 7969, 7841, 1811, 941, 540, 9645, 1871, 269, 1280, 513, 1507, 4674, 593, 938, 851, 267, 519, 32228, 2103, 941, 7142, 547, 9856, 930, 476, 8517, 5195, 540, 9381, 3950, 543, 713, 1131, 991, 513, 1804, 1297, 540, 10136, 269, 670, 5960, 7984, 613, 849, 8289, 539, 1079, 5230, 2267, 23924, 609, 2185, 6861, 619, 593, 476, 3066, 628, 4873, 269, 2701, 17991, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4335, 271, 18126, 855, 609, 1100, 1267, 269, 2701, 729, 4831, 16091, 676, 519, 26603, 677, 855, 729, 3768, 600, 3042, 269, 2201, 476, 273, 526, 5147, 267, 1354, 13059, 547, 5689, 3279, 267, 670, 5960, 7984, 613, 8289, 539, 513, 21471, 6928, 26603, 9285, 676, 1018, 1352, 2219, 729, 606, 11439, 21471, 2267, 16014, 269, 2701, 17991, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4968, 271, 18126, 543, 4862, 835, 5734, 855, 1312, 9635, 4797, 593, 741, 1259, 15151, 3768, 600, 3042, 269, 30272, 835, 540, 891, 9635, 267, 519, 608, 21785, 4858, 1066, 320, 540, 476, 277, 269, 7597, 277, 9748, 267, 729, 3141, 330, 676, 2011, 4323, 593, 1200, 1259, 689, 6022, 1069, 334, 547, 25676, 10008, 563, 4002, 476, 1704, 628, 4873, 267, 607, 2907, 5143, 269, 670, 5960, 7780, 2865, 630, 299, 773, 23133, 2155, 6387, 28251, 595, 599, 2917, 681, 301, 264, 30774, 689, 5689, 3279, 547, 1780, 519, 24558, 1176, 9553, 26753, 543, 29862, 538, 519, 13323, 540, 661, 18860, 8598, 269, 4173, 3483, 729, 547, 9514, 909, 519, 16749, 593, 519, 7262, 2427, 540, 519, 7969, 25345, 269, 1635, 476, 2420, 526, 1352, 729, 1055, 853, 668, 2513, 328, 543, 593, 519, 3781, 540, 476, 2537, 6113, 270, 2190, 628, 1352, 15354, 1200, 16710, 657, 267, 896, 18279, 5576, 1993, 1752, 267, 538, 1165, 2692, 1846, 267, 547, 9514, 909, 519, 16749, 1899, 547, 3204, 326, 1470, 269, 634, 8034, 8240, 8959, 693, 1101, 26089, 513, 2034, 13941, 547, 7816, 873, 269, 670, 5960, 7780, 2865, 1287, 10272, 519, 7187, 1935, 547, 11619, 2088, 543, 8289, 539, 1079, 5996, 9081, 602, 5293, 856, 540, 2039, 269, 2201, 476, 2764, 628, 1352, 729, 2111, 547, 3595, 1614, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 6344, 271, 18126, 693, 7969, 18535, 6928, 2037, 878, 334, 22728, 540, 476, 275, 269, 24699, 9748, 267, 799, 1352, 521, 1678, 269, 6271, 3801, 547, 2244, 16710, 657, 1185, 547, 581, 14460, 950, 519, 26747, 729, 8289, 539, 689, 519, 13272, 563, 763, 3677, 20140, 1149, 693, 28641, 5258, 741, 29862, 338, 1063, 5484, 724, 21532, 267, 519, 13323, 540, 11184, 974, 543, 519, 32363, 613, 534, 269, 634, 29862, 338, 1055, 5484, 724, 21532, 941, 1134, 5116, 547, 18448, 6808, 689, 7977, 547, 4000, 1524, 519, 7178, 5032, 540, 10255, 543, 1346, 538, 519, 13323, 540, 11184, 974, 547, 3247, 9381, 6808, 547, 5484, 724, 21532, 689, 25676, 10008, 267, 799, 729, 1869, 519, 1292, 771, 10603, 1046, 566, 2823, 269, 769, 519, 32363, 613, 534, 267, 972, 729, 711, 1152, 519, 1271, 7382, 518, 6808, 689, 519, 667, 731, 534, 21304, 855, 849, 519, 10546, 4262, 10618, 609, 11511, 974, 267, 519, 667, 1712, 4754, 3150, 543, 519, 5259, 32363, 613, 534, 10195, 267, 1082, 540, 799, 1631, 1185, 4108, 575, 1551, 11143, 269, 1703, 941, 849, 1079, 824, 3096, 585, 20140, 1149, 267, 519, 1101, 540, 799, 729, 547, 4163, 7727, 547, 5689, 3279, 267, 799, 1631, 267, 609, 519, 2530, 540, 11511, 974, 267, 729, 12303, 2759, 1055, 689, 519, 7532, 607, 1134, 607, 689, 519, 7178, 269, 634, 2034, 4305, 729, 547, 4217, 538, 519, 26219, 5859, 602, 729, 1631, 538, 3356, 563, 295, 5960, 570, 27495, 630, 299, 773, 23133, 2155, 6387, 661, 15598, 12832, 565, 599, 681, 301, 264, 2451, 28641, 593, 476, 272, 560, 4873, 585, 5484, 724, 21532, 543, 593, 476, 278, 628, 7722, 513, 512, 1872, 267, 14402, 543, 606, 4550, 28175, 3405, 710, 911, 342, 2401, 676, 7784, 13933, 855, 519, 2962, 1185, 547, 581, 7745, 1055, 950, 1200, 7784, 795, 25428, 269, 11048, 519, 7784, 29539, 4406, 528, 6242, 543, 1079, 1507, 8043, 9103, 16226, 476, 4366, 280, 9748, 521, 1678, 607, 513, 1267, 540, 713, 2962, 269, 2701, 15354, 513, 11028, 18590, 5428, 593, 717, 9618, 1695, 6816, 602, 3781, 543, 556, 268, 10603, 1046, 539, 873, 1985, 1554, 269, 2201, 476, 1556, 628, 1352, 6743, 883, 5484, 724, 21532, 543, 17991, 513, 8731, 6244, 334, 693, 513, 2039, 540, 476, 15996, 271, 18126, 693, 606, 7969, 6928, 7258, 267, 18644, 570, 11035, 700, 631, 4072, 540, 476, 272, 269, 7785, 9748, 267, 799, 6926, 342, 909, 543, 521, 1678, 269, 8921, 1554, 1352, 16091, 513, 5996, 1195, 2038, 538, 519, 6640, 609, 1079, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 1220, 271, 18126, 29855, 7969, 21471, 6928, 8125, 341, 1470, 2480, 16336, 328, 540, 476, 272, 269, 3607, 278, 9748, 269, 2701, 729, 17212, 1386, 538, 713, 1858, 676, 670, 5960, 3204, 550, 630, 299, 773, 23133, 2155, 6387, 31125, 645, 992, 928, 681, 301, 264, 855, 1352, 1185, 513, 4625, 10145, 29862, 1063, 476, 866, 628, 4873, 543, 476, 276, 628, 5147, 269, 670, 5960, 570, 8922, 874, 630, 8333, 6387, 654, 297, 310, 28418, 681, 301, 264, 2451, 28641, 593, 476, 2918, 628, 4873, 543, 4166, 8289, 539, 519, 7969, 26747, 6428, 11985, 4947, 2786, 585, 1200, 269, 674, 8960, 1352, 1131, 4413, 609, 8731, 6244, 3996, 267, 1352, 17774, 3166, 543, 7722, 609, 1200, 7784, 13844, 1614, 16125, 856, 540, 476, 3451, 21448, 17991, 267, 1310, 799, 519, 7969, 1016, 19282, 25978, 11074, 1524, 676, 519, 29523, 269, 670, 5960, 570, 8922, 874, 1287, 17991, 1079, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 4335, 18126, 18644, 609, 835, 540, 873, 543, 29855, 1200, 269, 670, 5960, 570, 8922, 874, 6603, 519, 5484, 724, 21532, 1858, 593, 476, 275, 628, 5147, 543, 1985, 1554, 7722, 519, 7969, 1071, 2120, 715, 8882, 20660, 540, 476, 2568, 278, 9748, 676, 7784, 13933, 543, 521, 1678, 1200, 269, 2201, 476, 279, 628, 1352, 16094, 8697, 519, 4550, 28175, 3405, 710, 911, 342, 2401, 1546, 700, 583, 16210, 540, 476, 29214, 9748, 855, 729, 7142, 547, 11198, 676, 513, 13272, 6007, 267, 799, 5734, 1200, 543, 8697, 1200, 4464, 269, 1546, 13198, 512, 16210, 1287, 9575, 3595, 543, 521, 1678, 269, 670, 5960, 570, 8922, 874, 729, 2663, 10288, 547, 8399, 547, 5689, 3279, 585, 18203, 563, 1103, 519, 26219, 5859, 267, 930, 2267, 23924, 543, 6861, 619, 689, 519, 11335, 18307, 564, 941, 2143, 547, 960, 593, 519, 9381, 1166, 1678, 540, 519, 7952, 269, 670, 5960, 3474, 628, 1014, 630, 8333, 6387, 631, 294, 681, 574, 15838, 667, 12569, 681, 301, 264, 729, 3773, 547, 713, 3196, 547, 29862, 1055, 2142, 597, 583, 267, 1141, 930, 1804, 966, 747, 344, 6861, 619, 941, 1759, 269, 2201, 476, 1839, 628, 4873, 267, 670, 5960, 3474, 628, 1014, 8289, 539, 519, 966, 747, 344, 3943, 26747, 27804, 742, 548, 584, 593, 519, 2627, 267, 855, 1352, 546, 1882, 1354, 606, 4323, 1223, 581, 6192, 269, 670, 5960, 3474, 628, 1014, 2073, 2705, 267, 7307, 547, 1832, 3950, 540, 1200, 10779, 776, 543, 1310, 1614, 3108, 27804, 742, 548, 584, 17774, 3166, 1586, 269, 670, 5960, 3474, 628, 1014, 729, 1287, 2111, 547, 3595, 2185, 8731, 6244, 3996, 693, 513, 2039, 540, 476, 18605, 271, 18126, 18644, 609, 835, 540, 873, 543, 25738, 519, 10546, 883, 1079, 30556, 267, 799, 521, 1678, 269, 2701, 1185, 513, 3781, 7237, 609, 1776, 966, 747, 344, 3943, 26747, 593, 476, 2764, 628, 855, 519, 1079, 941, 865, 2673, 1927, 602, 4986, 1223, 581, 2944, 1354, 519, 10546, 546, 1882, 269, 30272, 519, 966, 747, 344, 20140, 1149, 595, 2727, 534, 543, 5651, 572, 23012, 547, 645, 714, 1068, 320, 563, 19177, 3703, 20140, 1149, 543, 1079, 5259, 20140, 1149, 1273, 9776, 538, 519, 32363, 613, 534, 1282, 4873, 269, 670, 5960, 8776, 321, 599, 630, 299, 773, 23133, 2155, 6387, 589, 6717, 631, 4536, 681, 301, 264, 30774, 689, 28641, 593, 476, 2764, 628, 2904, 543, 5293, 998, 519, 2480, 17369, 27053, 26463, 593, 1200, 1259, 547, 519, 667, 731, 534, 21304, 269, 2701, 1558, 1079, 1309, 2294, 267, 835, 540, 799, 729, 8876, 4620, 1503, 543, 521, 1678, 873, 676, 7784, 13933, 269, 2201, 476, 277, 628, 4873, 1055, 15729, 18774, 525, 1352, 11402, 519, 3943, 7382, 518, 22598, 540, 476, 274, 269, 11740, 9748, 543, 5734, 1200, 609, 513, 2582, 8731, 6244, 334, 17991, 689, 1318, 4230, 1716, 693, 476, 1911, 271, 18126, 269, 634, 7382, 518, 1287, 12979, 1819, 538, 13719, 1216, 543, 606, 5662, 543, 513 ]

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

[ 2119, 543, 2626, 519, 476, 1015, 1604, 5829, 2055, 602, 519, 5496, 786, 10460, 547, 596, 269, 7994, 519, 2626, 267, 5734, 519, 7735, 543, 7118, 2798, 563, 5194, 4159, 20217, 596, 547, 17967, 513, 5679, 984, 609, 9910, 2137, 540, 2831, 899, 519, 1306, 328, 1738, 17794, 543, 4095, 3552, 1028, 7923, 547, 621, 267, 543, 1451, 540, 519, 5726, 4567, 540, 1142, 2831, 607, 519, 7222, 1344, 2982, 909, 593, 519, 5496, 267, 609, 2127, 12006, 593, 519, 4095, 4786, 563, 2026, 596, 19584, 998, 519, 3908, 855, 24084, 2287, 10525, 267, 596, 3112, 948, 855, 2097, 856, 2348, 19927, 1082, 1007, 5013, 899, 875, 5726, 538, 3127, 7389, 1394, 547, 476, 274, 6113, 2540, 14514, 269, 589, 2203, 540, 513, 4224, 1196, 1112, 689, 14890, 12891, 24499, 779, 5736, 10268, 693, 519, 14266, 28542, 856, 519, 5726, 3646, 17298, 1282, 1010, 12081, 899, 7333, 940, 519, 10122, 540, 1978, 2249, 540, 3552, 3662, 267, 10661, 540, 4104, 543, 7320, 14425, 543, 29611, 540, 28877, 547, 6469, 543, 3552, 2831, 563, 10214, 8575, 32257, 19413, 1185, 3144, 4063, 540, 519, 2604, 547, 938, 4541, 281, 968, 24618, 2488, 2614, 547, 14183, 1169, 812, 781, 2115, 267, 855, 711, 1169, 812, 781, 26846, 3034, 7661, 267, 945, 568, 3743, 585, 519, 2916, 1689, 286, 5808, 3361, 8733, 19261, 286, 5808, 2813, 519, 2604, 593, 938, 3618, 779, 2200, 286, 6733, 883, 713, 1880, 4159, 693, 519, 14266, 585, 4267, 269, 3371, 779, 513, 23319, 2443, 621, 779, 3893, 19141, 3330, 563, 8489, 281, 3026, 327, 745, 3163, 10418, 267, 3220, 269, 661, 269, 15584, 10003, 267, 1937, 2993, 454, 2691, 281, 4728, 476, 2767, 27477, 454, 11742, 281, 476, 1015, 513, 6230, 269, 547, 476, 277, 533, 6230, 563, 23086, 281, 476, 28873, 268, 27149, 273, 476, 271, 4366, 273 ]

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

[ 11951, 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 ]

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

[ 5230, 1524, 335, 2293, 799, 616, 6038, 1651, 1243, 676, 2916, 1689, 563, 763, 1533, 540, 4993, 568, 711, 1007, 547, 8755, 17160, 267, 543, 17160, 607, 519, 1216, 4320, 538, 519, 8933, 2066, 519, 1533, 1628, 909, 543, 24492, 1282, 5230, 22856, 269, 1717, 267, 519, 2360, 540, 2916, 1689, 24244, 519, 11811, 4320, 267, 8754, 519, 10171, 540, 513, 19251, 2378, 331, 797, 563, 300, 1122, 2378, 331, 797, 1107, 4299, 2127, 543, 1018, 621, 1797, 547, 519, 2475, 454, 1103, 513, 1353, 267, 3744, 1336, 856, 602, 519, 4993, 6239, 9503, 267, 1519, 645, 5474, 7615, 267, 674, 637, 7224, 267, 543, 15762, 26963, 334, 267, 1131, 1294, 519, 1034, 9552, 269, 634, 1239, 568, 1759, 593, 513, 1788, 602, 7851, 519, 1216, 11517, 6283, 543, 2009, 13247, 13250, 936, 519, 1858, 538, 513, 476, 1789, 6377, 6885, 563, 763, 2475, 24959, 11752, 1767, 602, 1058, 6239, 9503, 581, 18233, 856, 1813, 547, 519, 19251, 2378, 331, 797, 282, 1426, 3761, 21463, 1223, 4755, 607, 519, 1858, 7472, 936, 513, 10116, 540, 519, 1426, 3761, 540, 519, 2475, 563, 763, 2360, 540, 519, 19251, 2378, 331, 797, 786, 581, 5433, 2066, 519, 2197, 269, 4340, 547, 513, 1353, 267, 519, 3441, 519, 19251, 2378, 331, 797, 1131, 2014, 1522, 3914, 1269, 272, 18265, 543, 16094, 3441, 519, 21060, 543, 11968, 13353, 17521, 269, 769, 1840, 267, 519, 31685, 1131, 1831, 519, 1942, 31586, 9568, 538, 2475, 1686, 1107, 2947, 2053, 602, 540, 23587, 15576, 27444, 267, 519, 1942, 31586, 593, 2594, 563, 5649, 4746, 281, 853, 762, 30803, 19791, 5494, 2642, 267, 12207, 17166, 7043, 518, 13773, 593, 519, 9855, 25792, 454, 763, 19251, 2378, 331, 797, 5949, 1354, 267, 543, 621, 1131, 581, 8338, 713, 942, 454, 7021, 476, 5611, 1296, 3516, 267, 519, 13642, 3557, 4718, 835, 540, 519, 1034, 14124, 17160, 538, 519, 1686, 540, 519, 2197, 269, 898, 729, 1287, 4553, 676, 513, 10980, 799, 28978, 519, 2360, 540, 519, 9568, 563, 763, 2680, 729, 3361, 676, 513, 3126, 540, 1524, 335, 2293, 602, 4904, 519, 8933, 543, 3366, 873, 547, 856, 335, 712, 269, 1306, 513, 1267, 267, 3601, 941, 10032, 267, 13184, 729, 8854, 267, 543, 2729, 941, 4503, 269, 4340, 547, 4210, 664, 267, 513, 1454, 8273, 3032, 659, 569, 338, 6193, 2680, 267, 971, 607, 538, 15762, 26963, 334, 267, 1223, 4755, 1586, 267, 855, 713, 942, 267, 621, 1223, 581, 8338, 563, 2108, 22746, 513, 6360, 2680, 538, 2413, 4993, 1131, 2693, 9765, 519, 14796, 689, 513, 1804, 9588, 13091, 676, 513, 9645, 14345, 2223, 1767, 519, 1353, 269, 968, 2171, 1265, 602, 2916, 1689, 814, 2907, 2799, 519, 1981, 540, 513, 630, 5908, 273, 264, 19251, 2378, 331, 797, 9183, 538, 4993, 267, 855, 602, 2104, 2916, 8337, 786, 2693, 3142, 827, 1256, 5857, 704, 1981, 4679, 2223, 621, 3773, 563, 2108, 27407, 267, 835, 540, 938, 3853, 568, 711, 1175, 547, 1174, 891, 2621, 23963, 267, 855, 621, 779, 849, 547, 948, 4993, 5965, 585, 873, 269, 898, 779, 513, 2243, 540, 950, 2864, 982, 952, 630, 1492, 19251, 2378, 331, 797, 264, 4386, 2223, 4210, 664, 1767, 563, 2108, 2691, 713, 630, 4148, 797, 264, 4386, 1586, 267, 519, 4539, 1131, 581, 3552, 569, 1114, 982, 789, 941, 1394, 538, 519, 476, 5908, 271, 338, 2223, 3773, 4210, 664, 269, 0, 268, 901, 4199, 2488, 513, 24920, 547, 946, 607, 513, 3391, 950, 8939, 3059, 2645, 543, 606, 6268, 19875, 547, 581, 4904, 856, 547, 3313, 519, 3872, 7145, 540, 519, 1907, 2899, 922, 1044, 5189, 883, 519, 6437, 563, 268, 13722, 12729, 267, 16592, 12729, 267, 5664, 3427, 267, 4400, 3427, 267, 12333, 3447, 1807, 454, 268, 6103, 476, 280, 267, 6103, 476, 1015, 267, 6103, 476, 1556, 267, 6103, 476, 1321, 454, 268, 7698, 7392, 912, 268, 15099, 10934, 267, 11676, 878, 270, 9928, 1681, 6651, 267, 9752, 270, 13981, 15613, 454, 268, 30960, 14811, 6199, 267, 13191, 16200, 267, 7225, 344, 700, 1030, 324, 828, 267, 13690, 717, 746, 267, 21280, 11672, 32095, 1326, 339, 454, 268, 11261, 1520, 4765, 912, 268, 11300, 12780, 21922, 6348, 4211, 558, 14293, 9523, 1325, 833, 454, 268, 9012, 14474, 912, 268, 8281, 762, 2703, 338, 267, 7956, 270, 12487, 7876, 454, 5591, 20241, 2943, 563, 17098, 972, 269, 594, 723, 513, 2243, 827, 713, 4199, 543, 1131, 899, 547, 7662, 10479, 547, 2671, 621, 538, 606, 594, 4306, 292, 2228, 1576, 594, 993, 2870, 269, 16393, 2576, 3914, 856, 547, 803, 827, 713, 630, 16942, 11333, 2593, 21663, 11289, 596, 256, 0, 1692, 519, 21478, 540, 4804, 31802, 543, 8682, 7232, 24351, 593, 4841, 685, 19556, 19793, 22777, 4438, 519, 13044, 268, 866, 17455, 2438, 888, 268, 476, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 1692, 547, 946, 513, 20396, 888, 268, 4804, 8404, 282, 8682, 30797, 282, 4841, 685, 6310, 10781, 454, 763, 1967, 540, 1053, 685, 6128, 1565, 568, 12936, 676, 1079, 2188, 281, 4835, 543, 5007, 7506, 269, 18378, 2188, 616, 519, 3815, 602, 2501, 689, 1369, 519, 1053, 267, 543, 5007, 2188, 616, 2188, 602, 2097, 689, 519, 1604, 540, 519, 1053, 269, 11790, 547, 581, 7074, 547, 2087, 519, 6310, 9740, 540, 1053, 616, 1565, 8404, 543, 1582, 30797, 269, 634, 3483, 540, 713, 1353, 729, 547, 1265, 856, 519, 3310, 540, 1565, 8404, 543, 1582, 30797, 593, 1053, 685, 6310, 10781, 1282, 519, 13044, 268, 866, 6855, 269, 901, 1382, 568, 608, 2022, 1249, 334, 1382, 5473, 513, 3732, 540, 476, 12208, 1053, 689, 1362, 2473, 594, 5183, 590, 7246, 693, 681, 807, 340, 5697, 676, 1210, 4351, 10386, 4480, 269, 4578, 4015, 1031, 519, 1739, 7405, 281, 630, 272, 264, 513, 18102, 540, 1565, 8404, 267, 630, 273, 264, 513, 18102, 540, 1582, 30797, 267, 543, 630, 274, 264, 1053, 685, 2979, 1867, 6486, 269, 634, 1382, 1239, 941, 21845, 1101, 676, 930, 1449, 4170, 267, 799, 616, 2343, 1275, 1449, 267, 10636, 657, 1027, 2880, 640, 1449, 267, 543, 24352, 565, 1467, 10846, 1449, 269, 2991, 16180, 519, 1449, 4170, 267, 519, 1239, 941, 21845, 1210, 2789, 5276, 9695, 269, 634, 1267, 4951, 602, 281, 630, 272, 264, 1053, 685, 1565, 8404, 1185, 513, 1713, 3310, 593, 1053, 685, 6310, 9740, 267, 630, 273, 264, 1053, 685, 1582, 30797, 1185, 513, 1713, 3310, 593, 1053, 685, 6310, 9740, 267, 543, 630, 274, 264, 1053, 685, 1565, 8404, 543, 1582, 30797, 8195, 1860, 1053, 685, 6310, 9740, 563, 268, 9736, 476, 1708, 272, 634, 22439, 269, 15618, 676, 7284, 656, 529, 4964, 590, 2752, 299, 563, 268, 7046, 7457, 454, 268, 901, 568, 606, 1930, 1569, 2376, 896, 519, 16671, 15760, 9539, 290, 12689, 563, 29241, 713, 2376, 454, 31159, 910, 12164, 293, 22847, 910, 4258, 3149, 328, 589, 686, 10620, 22847, 910, 667, 611, 836, 4236, 663, 328, 22847, 910, 1306, 7773, 623, 312, 910, 476, 1708, 272, 21096, 910, 476, 1708, 272, 270, 1321, 270, 1724, 30263, 910, 1215, 519, 21478, 540, 4804, 31802, 543, 8682, 7232, 24351, 593, 4841, 685, 19556, 19793, 22777, 4438, 519, 13044, 268, 866, 17455, 2438, 286, 31641, 910, 18619, 540, 519, 4139, 10985, 593, 12409, 5525, 538, 9119, 630, 2975, 334, 2464, 300, 476, 1708, 272, 264, 623, 289, 910, 7284, 656, 529, 4964, 9501, 910, 476, 3393, 273, 21768, 910, 476, 27174, 19301, 910, 476, 20720, 273, 268, 276, 4375, 279, 772, 305, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 11298, 910, 476, 1015, 269, 26482, 272, 270, 21692, 15590, 21993, 269, 21076, 21076, 269, 5881, 277, 9517, 910, 589, 686, 10620, 1708, 272, 18317, 910, 0, 2171, 723, 5941, 1114, 2010, 540, 17656, 4287, 531, 17656, 25255, 1031, 538, 1114, 6381, 269, 2290, 540, 519, 1034, 1455, 2010, 540, 17656, 568, 7299, 17656, 1141, 1034, 19401, 616, 1743, 2683, 585, 1216, 267, 3282, 267, 610, 2067, 3154, 2786, 1524, 883, 519, 3618, 269, 3220, 3739, 693, 606, 5086, 824, 982, 7299, 666, 5734, 9072, 543, 12954, 23854, 538, 2081, 602, 3112, 581, 6913, 609, 513, 7299, 1134, 269, 769, 2665, 899, 891, 267, 606, 2702, 547, 8308, 27464, 519, 1134, 538, 8846, 543, 7285, 602, 8977, 689, 519, 7299, 568, 513, 3407, 2702, 563, 4002, 519, 824, 1688, 267, 8880, 4287, 531, 17656, 814, 8118, 6360, 326, 919, 585, 21427, 543, 5010, 9988, 945, 991, 3606, 10626, 19698, 689, 519, 29326, 267, 1216, 267, 543, 1379, 547, 3154, 543, 26313, 269, 2060, 519, 948, 540, 8880, 4287, 531, 17656, 25255, 267, 621, 568, 2009, 547, 3888, 20848, 5176, 9170, 693, 513, 5266, 8766, 1942, 543, 609, 1447, 17522, 547, 30120, 269, 898, 2636, 4287, 531, 17656, 25255, 547, 16590, 538, 513, 8880, 4287, 1510, 2348, 547, 2007, 2066, 519, 3037, 267, 543, 6679, 909, 1007, 12992, 269, 667, 27399, 17656, 814, 19117, 519, 17656, 1184, 563, 763, 22436, 540, 21222, 7267, 667, 27399, 3220, 3739, 616, 912, 268, 667, 9092, 1107, 1317, 540, 519, 9157, 2326, 1031, 676, 8880, 4287, 531, 17656, 25255, 267, 621, 11148, 547, 723, 3476, 1272, 21269, 543, 3152, 6111, 1282, 10380, 269, 21222, 7267, 4287, 531, 17656, 2636, 4443, 10380, 896, 8933, 267, 5397, 1811, 267, 3092, 267, 543, 30565, 532, 10612, 543, 10626, 3515, 10607, 15006, 563, 268, 674, 2120, 12305, 566, 1107, 1703, 779, 1447, 13897, 19774, 267, 1447, 547, 6450, 1722, 267, 543, 1447, 547, 26565, 540, 607, 596, 1131, 711, 991, 547, 1930, 909, 519, 3037, 269, 21222, 7267, 4287, 531, 17656, 568, 942, 22766, 936, 1930, 24408, 585, 1216, 543, 29326, 3515, 610, 20848, 563, 268, 13722, 8779, 1107, 4595, 621, 568, 5488, 267, 621, 849, 1797, 2539, 1942, 538, 519, 2631, 602, 1447, 13897, 19774, 1797, 1447, 13897, 8719, 543, 602, 9090, 17990, 942, 269, 4595, 621, 3340, 7864, 12427, 267, 972, 616, 849, 9806, 538, 2474, 540, 812, 12741, 269, 769, 1840, 267, 1447, 3937, 568, 2838, 607, 713, 1826, 540, 17656, 3085, 1406, 7048, 593, 1394, 327, 3996, 543, 824, 5230, 3937, 10519, 1023, 563, 268, 10815, 2598, 8306, 1107, 14924, 25597, 543, 942, 616, 17522, 2188, 538, 17656, 269, 4595, 8880, 17656, 8420, 2167, 1447, 3037, 543, 3085, 1406, 2154, 20857, 1524, 883, 707, 3959, 267, 3976, 30120, 786, 581, 12873, 563, 268, 21253, 1043, 19715, 1107, 21222, 7267, 17656, 2636, 13307, 540, 12992, 267, 1216, 543, 29326, 3515, 269, 1403, 596, 991, 513, 1899, 610, 20848, 2196, 896, 513, 4155, 267, 5397, 3118, 267, 7583, 3200, 267, 5757, 267, 610, 538, 606, 1858, 1141, 519, 10612, 1590, 7455, 267, 18074, 291, 666, 1450, 713, 543, 607, 513, 1267, 267, 2337, 21427, 543, 4213, 563, 268, 10815, 14606, 2552, 8727, 1107, 2094, 4287, 531, 17656, 24864, 3037, 547, 519, 2427, 2864, 982, 8744, 621, 547, 519, 2627, 267, 972, 779, 1454, 1447, 540, 513, 4960, 602, 3037, 12526, 786, 3262, 1657, 268, 3033, 269, 4746, 267, 13572, 3037, 1058, 711, 15449, 622, 519, 12992, 1317, 519, 10612, 4296, 616, 1279, 18835, 563, 268, 23225, 518, 18983, 527, 12983, 1107, 4287, 531, 17656, 25255, 2356, 2154, 1447, 3573, 28498, 1317, 621, 5932, 1447, 540, 513, 19717, 267, 7472, 1447, 11935, 267, 543, 1281, 711, 2154, 17527, 6808, 607, 10353, 547, 2757, 17656, 563, 4263, 11628, 7412, 7010, 267, 938, 3119, 1445, 543, 6791, 568, 538, 519, 8880, 4287, 531, 19309, 2361, 267, 649, 1745, 602, 2348, 936, 476, 3451, 1296, 540, 5916, 1995, 538, 782, 11775, 540, 519, 1184, 2636, 721, 547, 1683, 513, 2362, 3044, 540, 3028, 543, 2298, 547, 938, 5561, 269, 11910, 721, 1631, 269, 0, 2704, 29837, 11103, 2709, 2539, 3002, 19428, 267, 8143, 16756, 720, 543, 3002, 1761, 269, 634, 2837, 693, 799, 621, 666, 581, 1031, 585, 1279, 5712, 568, 476, 9873, 271, 476, 9610, 271, 9180, 269, 898, 568, 811, 982, 11956, 3623, 6510, 630, 1911, 271, 476, 9340, 876, 9180, 1040, 898, 666, 581, 1031, 538, 15755, 5054, 607, 1134, 607, 12444, 1944, 543, 4227, 11626, 2175, 269, 2755, 621, 1281, 723, 930, 4187, 547, 14809, 538, 606, 22279, 1604, 543, 568, 11630, 547, 8709, 18123, 25681, 607, 1134, 267, 519, 6775, 666, 1869, 581, 3362, 2144, 10757, 269, 901, 6775, 814, 513, 7415, 1648, 9494, 543, 568, 6140, 1031, 538, 3002, 13471, 7677, 2167, 269, 901, 19460, 666, 5818, 519, 1587, 779, 3977, 547 ]

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

[ 0, 5149, 476, 280, 281, 12384, 667, 3496, 910, 589, 966, 2320, 656, 20309, 540, 1977, 23205, 16161, 692, 7072, 1384, 2026, 649, 5490, 883, 519, 1158, 540, 7900, 6575, 267, 621, 781, 1898, 547, 2263, 1585, 2686, 23929, 602, 13686, 938, 3309, 6561, 269, 769, 713, 1770, 267, 649, 786, 1445, 593, 4009, 15472, 267, 606, 2502, 543, 6422, 1106, 540, 12563, 7544, 602, 814, 2620, 5072, 538, 3013, 781, 1686, 269, 1635, 6313, 922, 8129, 267, 4720, 267, 2575, 267, 5515, 267, 7125, 267, 7802, 267, 543, 4207, 4644, 267, 649, 2832, 547, 1683, 513, 11455, 5133, 593, 1946, 4009, 15472, 3788, 513, 2442, 543, 19644, 2245, 2221, 780, 296, 269, 17959, 543, 3778, 540, 12384, 667, 3496, 1384, 288, 269, 7216, 23548, 25751, 281, 634, 9998, 6592, 8320, 540, 4009, 15472, 666, 581, 14360, 1394, 547, 476, 1704, 628, 2540, 4789, 950, 6917, 2950, 1131, 5531, 585, 1514, 2621, 1634, 607, 834, 2452, 6105, 1701, 1452, 13016, 1205, 2389, 690, 564, 1667, 1419, 12286, 2241, 1895, 23929, 5340, 547, 2661, 2575, 269, 1306, 2296, 13896, 28953, 547, 3345, 3013, 267, 789, 4547, 891, 5389, 2059, 267, 15268, 873, 547, 9290, 2199, 16919, 543, 7375, 269, 3683, 942, 267, 4009, 15472, 7960, 883, 513, 3982, 569, 1977, 1148, 1106, 6353, 676, 18512, 5322, 267, 6946, 3270, 267, 543, 2189, 6237, 7648, 780, 289, 269, 4886, 540, 7073, 12384, 667, 3496, 630, 4350, 271, 338, 6261, 6974, 2567, 4438, 519, 4279, 12870, 267, 1289, 518, 32008, 26396, 1305, 856, 547, 8190, 12955, 2757, 7544, 6163, 676, 10707, 2429, 519, 2136, 2276, 267, 25643, 1585, 6237, 23929, 267, 543, 3044, 1944, 741, 5515, 543, 7125, 269, 901, 4674, 3366, 547, 519, 5137, 540, 2413, 5375, 4009, 15472, 267, 799, 6591, 7839, 8560, 1282, 519, 2022, 8862, 310, 2862, 5736, 1813, 547, 2799, 16837, 942, 543, 1719, 538, 2146, 2238, 269, 4653, 267, 4009, 15472, 5170, 547, 8853, 7064, 547, 3906, 899, 11910, 518, 18350, 267, 799, 3895, 543, 10038, 519, 2534, 5001, 780, 2862, 269, 8535, 543, 681, 20263, 1384, 288, 269, 28042, 26505, 281, 12465, 4009, 7544, 26107, 3335, 4183, 535, 1497, 12454, 23964, 10483, 676, 13176, 267, 7333, 14765, 267, 8260, 22223, 267, 14440, 267, 610, 11063, 542, 269, 2637, 637, 2039, 689, 4544, 24124, 267, 2197, 267, 543, 29630, 1014, 7823, 2575, 547, 811, 4207, 1402, 267, 4224, 267, 18711, 267, 543, 5824, 18819, 269, 3509, 1289, 619, 849, 6451, 1899, 23929, 543, 15333, 23929, 883, 741, 27132, 267, 4946, 2417, 3099, 547, 519, 7574, 5251, 780, 289, 269, 7843, 17763, 543, 7033, 532, 281, 4107, 4009, 7544, 8964, 2226, 513, 11931, 32171, 1063, 476, 12893, 268, 9873, 20054, 829, 8792, 630, 321, 10975, 1070, 3850, 25249, 15792, 942, 547, 14892, 1950, 3268, 1247, 6967, 15222, 1242, 609, 741, 4891, 543, 8284, 5171, 269, 3958, 267, 1808, 24754, 3889, 971, 607, 530, 5306, 345, 267, 1079, 9912, 267, 1135, 6390, 267, 543, 695, 28984, 20690, 1585, 7544, 9696, 267, 3246, 1312, 17391, 9029, 543, 7293, 22122, 780, 7656, 269, 22955, 543, 595, 8712, 1384, 288, 269, 9978, 28073, 281, 2311, 922, 4295, 267, 4009, 15472, 3322, 2185, 15185, 11231, 538, 513, 4009, 5250, 945, 1685, 20291, 7575, 1759, 593, 5528, 2016, 676, 513, 1289, 518, 269, 5871, 5515, 1331, 1596, 523, 3547, 267, 10246, 332, 663, 525, 267, 13121, 18480, 267, 23638, 267, 10580, 267, 30617, 267, 6801, 267, 11800, 267, 543, 521, 1662, 904, 269, 3962, 4137, 5161, 540, 5730, 3723, 1740, 267, 7649, 4205, 267, 543, 10923, 17568, 1369, 519, 2949, 4009, 12122, 780, 289, 269, 11628, 9828, 281, 15332, 2596, 5322, 9114, 5051, 4101, 18902, 951, 5473, 2789, 2516, 540, 25249, 22589, 21800, 5515, 267, 4028, 13289, 1063, 1114, 5515, 267, 543, 1561, 6665, 1049, 2609, 8506, 8237, 29364, 3375, 6194, 1983, 269, 9457, 344, 540, 4359, 2553, 1419, 30193, 13680, 12439, 689, 6131, 15712, 10283, 538, 6896, 19194, 543, 23594, 4721, 780, 4353, 269, 1849, 5847, 543, 5900, 790, 1384, 288, 269, 8466, 12745, 281, 25214, 267, 4009, 25249, 20595, 4052, 960, 9660, 1500, 689, 14463, 17234, 971, 607, 3954, 574, 267, 10412, 267, 15144, 267, 610, 16463, 5078, 585, 24526, 2168, 2534, 269, 6468, 1810, 2740, 2407, 1236, 16630, 267, 1025, 11817, 267, 24203, 976, 267, 642, 3949, 267, 543, 13755, 26506, 267, 1247, 2367, 7328, 539, 1279, 27890, 267, 2458, 1563, 695, 16630, 267, 7080, 11367, 267, 543, 2647, 1532, 3234, 4364, 22970, 24188, 540, 22082, 2395, 780, 289, 269, 12634, 13910, 281, 27009, 267, 4352, 8076, 1974, 30933, 3788, 2442, 1851, 2757, 1235, 543, 1625, 1235, 267, 1034, 16351, 25249, 1904, 585, 6899, 2943, 31042, 8925, 6220, 6505, 4778, 267, 12050, 16493, 267, 543, 7362, 762, 2326, 20009, 547, 12675, 3350, 543, 1086, 17508, 269, 7457, 1559, 899, 1688, 12027, 2151, 12028, 267, 6512, 11446, 267, 25192, 267, 26797, 267, 11369, 956, 267, 543, 14446, 1039, 2123, 1166, 1515, 1510, 18731, 10342, 780, 309, 269, 7351, 12367, 543, 25684, 1384, 288, 269, 11154, 725, 543, 674, 4288, 281, 1677, 4482, 1007, 9458, 543, 2611, 4143, 267, 2413, 4009, 7544, 15731, 4603, 609, 4244, 12043, 971, 607, 5180, 15472, 630, 322, 537, 1255, 1739, 24441, 25287, 2762, 264, 543, 3575, 619, 630, 577, 4474, 4891, 4749, 1040, 5047, 267, 6220, 1875, 10177, 6463, 11964, 899, 12048, 5577, 267, 5907, 267, 610, 3486, 2575, 3826, 1127, 4195, 1272, 883, 588, 1446, 13467, 543, 22587, 547, 7820, 5481, 5275, 3209, 1399, 543, 4763, 780, 289, 269, 7991, 8490, 543, 4317, 19983, 281, 6736, 6639, 7760, 14123, 5691, 4296, 267, 4009, 15472, 3091, 9048, 2897, 762, 3255, 585, 3068, 3562, 19904, 5872, 267, 5698, 267, 543, 11505, 2679, 269, 19457, 18497, 2833, 998, 7544, 11942, 23274, 267, 6568, 267, 543, 8994, 2463, 1851, 2043, 689, 3309, 10080, 267, 7700, 9797, 547, 2790, 1072, 543, 2949, 8171, 780, 1103, 3932, 267, 4009, 15472, 4564, 513, 7524, 4082, 540, 1977, 18691, 14869, 539, 538, 1686, 267, 2528, 267, 543, 2245, 269, 3414, 21599, 538, 922, 9159, 18819, 267, 30811, 5322, 267, 543, 10477, 15312, 267, 649, 4126, 713, 1770, 26182, 4514, 7071, 585, 713, 15851, 1148, 1106, 543, 7512, 4797, 6278, 609, 922, 9687, 2853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 4898, 1141, 547, 1265, 519, 1655, 3781, 5158, 538, 2342, 267, 596, 723, 2097, 547, 519, 1318, 1747, 269, 2755, 930, 4872, 949, 2097, 909, 3533, 593, 707, 2247, 267, 1705, 596, 917, 602, 1082, 1655, 3781, 5158, 4872, 538, 2342, 616, 2901, 896, 3603, 610, 6456, 21889, 888, 2252, 513, 3787, 540, 3181, 879, 30987, 693, 3781, 1310, 3695, 519, 4872, 782, 1554, 568, 29886, 593, 707, 2247, 267, 2342, 786, 1118, 707, 16858, 2097, 3020, 269, 2755, 519, 4872, 616, 782, 827, 2025, 4884, 10945, 267, 3638, 3140, 21056, 267, 15882, 267, 26847, 267, 543, 1919, 547, 798, 267, 519, 25865, 16940, 10246, 903, 540, 3864, 4872, 543, 10195, 2709, 19957, 1187, 3842, 741, 9735, 3781, 5158, 563, 2171, 616, 6158, 476, 2190, 16923, 3781, 743, 889, 338, 267, 3014, 5749, 553, 267, 838, 553, 267, 1435, 338, 609, 1004, 18656, 3101, 538, 741, 19463, 581, 619, 267, 15483, 339, 5661, 267, 543, 14095, 7544, 19683, 563, 2467, 616, 7899, 540, 17822, 2066, 5195, 540, 5836, 609, 6105, 4881, 11489, 519, 2038, 6640, 3108, 543, 14297, 4872, 602, 2760, 3207, 269, 7937, 267, 543, 2342, 568, 1753, 547, 1082, 16678, 6532, 18353, 602, 2721, 519, 3781, 31450, 540, 782, 5686, 563, 15371, 596, 616, 4058, 513, 7552, 547, 661, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 13645, 19933, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 28477, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 10361, 543, 3026, 1188, 2201, 19223, 910, 4197, 631, 1926, 9253, 534, 5448, 692, 5970, 596, 2479, 4862, 540, 2960, 2860, 286, 898, 781, 835, 540, 519, 1034, 1455, 2010, 540, 11871, 602, 1004, 1205, 269, 1809, 1705, 596, 917, 602, 2860, 666, 849, 1020, 3330, 707, 5023, 286, 2334, 781, 1318, 256, 4653, 267, 649, 786, 1451, 827, 513, 1808, 2186, 540, 5023, 2860, 1572, 23872, 27441, 269, 5213, 1405, 5855, 282, 621, 781, 1360, 4686, 267, 855, 1577, 781, 1174, 1018, 621, 1797, 950, 2576, 4991, 713, 1826, 540, 2860, 780, 5331, 707, 5023, 607, 513, 11112, 2749, 1141, 1114, 2281, 723, 6009, 547, 798, 269, 2290, 1895, 540, 891, 2182, 11529, 2281, 616, 1572, 14264, 14231, 269, 4256, 2816, 568, 547, 3132, 513, 4158, 20119, 1634, 607, 14264, 514, 799, 3947, 2681, 547, 938, 2960, 267, 4064, 267, 543, 4552, 269, 6884, 267, 1813, 547, 1585, 4128, 899, 1932, 1454, 3141, 4598, 267, 1978, 4719, 2188, 267, 610, 1256, 1175, 3983, 9939, 267, 930, 540, 891, 14264, 14231, 1522, 1689, 543, 1332, 856, 540, 1852, 267, 3056, 547, 2960, 2860, 269, 901, 568, 1572, 27441, 269, 1879, 621, 4523, 538, 519, 2960, 267, 621, 781, 811, 5432, 543, 4443, 547, 5544, 2094, 649, 666, 1294, 2242, 593, 938, 2960, 269, 1717, 267, 3006, 267, 891, 1482, 14264, 14231, 616, 1336, 538, 824, 2694, 540, 938, 1560, 899, 938, 5023, 630, 18034, 593, 519, 8122, 540, 519, 5023, 1572, 519, 31370, 1040, 1656, 7058, 1018, 286, 1358, 666, 1831, 29406, 972, 1932, 256, 2913, 781, 1289, 713, 834, 17625, 27441, 3010, 3086, 267, 1946, 568, 5023, 27441, 865, 2189, 3379, 547, 2834, 2960, 2860, 286, 4270, 267, 1317, 621, 3085, 1405, 2049, 1419, 693, 782, 256, 8307, 1472, 476, 271, 269, 273, 260, 547, 476, 279, 260, 540, 782, 14264, 5557, 4755, 538, 519, 5023, 269, 5221, 540, 922, 678, 10846, 267, 3744, 1810, 1405, 917, 607, 1454, 827, 621, 607, 789, 798, 609, 2960, 27441, 269, 1280, 1383, 267, 7189, 5749, 1405, 2386, 4010, 1946, 930, 1004, 1205, 5023, 27441, 1247, 1866, 1810, 1405, 269, 2368, 1589, 621, 1223, 581, 5532, 547, 7296, 610, 4568, 4616, 267, 855, 5168, 2685, 267, 18864, 6487, 585, 2386, 269, 1924, 3173, 1832, 4974, 621, 547, 1265, 1732, 2081, 547, 2061, 267, 13209, 267, 543, 1521, 713, 16613, 2783, 780, 2080, 781, 1945, 4277, 281, 9894, 596, 917, 602, 6306, 689, 519, 5023, 267, 27441, 666, 2408, 538, 824, 2127, 1932, 286, 8786, 267, 16310, 519, 2960, 267, 27441, 666, 1860, 938, 4064, 610, 1106, 538, 4025, 1141, 972, 3884, 1405, 1022, 2960, 693, 782, 267, 971, 607, 538, 938, 5609, 4926, 610, 9667, 1062, 269, 1452, 616, 1572, 11940, 657, 531, 14264, 5557, 269, 3776, 5023, 27441, 3659, 8813, 883, 713, 7121, 780, 3383, 875, 1131, 4896, 917, 952, 789, 723, 5023, 27441, 286, 4279, 2243, 256, 4595, 2038, 7020, 568, 1898, 267, 1934, 616, 930, 1919, 547, 1413, 856, 585, 1384, 265, 589, 1007, 3109, 610, 6960, 15429, 593, 519, 8122, 540, 707, 5023, 602, 7012, 1406, 972, 1354, 454, 265, 15448, 538, 2450, 267, 3337, 267, 610, 2681, 540, 4540, 15649, 610, 9634, 454, 265, 28563, 5338, 267, 1928, 267, 610, 31018, 538, 519, 5023, 454, 265, 30975, 24948, 610, 6340, 454, 265, 700, 5366, 4522, 610, 7202, 999, 4743, 13943, 10393, 692, 2252, 596, 5469, 4376, 8966, 267, 2911, 547, 707, 4387, 610, 11290, 5612, 269, 5457, 267, 1373, 3222, 543, 21713, 2337, 2439, 21675, 8797, 267, 23262, 2356, 4894, 519, 10510, 998, 606, 5106, 3843, 741, 1655, 547, 1491, 856, 782, 4299, 8031, 269, 24658, 3797, 949, 849, 581, 1031, 1310, 6391, 547, 6146, 6967, 2860, 2281, 543, 2539, 519, 4960, 540, 24088, 269, 10251, 267, 2899, 519, 27441, 19082, 3564, 519, 5023, 3148, 630, 5471, 770, 553, 1242, 1070, 2126, 3587, 4101, 267, 543, 519, 23567, 11148, 547, 581, 4057, 269, 4475, 267, 6604, 543, 2038, 6304, 2611, 2629, 780, 1103, 5758, 267, 3314, 602, 4352, 5023, 27441, 568, 5393, 4686, 267, 1620, 621, 2488 ]

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

[ 16823, 5665, 1949, 960, 609, 918, 30470, 267, 1519, 1082, 7657, 2293, 543, 8747, 540, 12380, 267, 645, 16256, 267, 9891, 529, 267, 8837, 267, 12794, 30884, 267, 1234, 716, 5308, 267, 4643, 476, 280, 267, 589, 4629, 306, 3194, 21952, 3590, 543, 13013, 2473, 269, 769, 1840, 267, 15692, 476, 273, 269, 273, 267, 717, 26214, 26260, 6324, 630, 5719, 15487, 918, 1626, 1070, 3687, 1460, 476, 274, 269, 272, 269, 273, 320, 267, 9891, 529, 476, 1015, 772, 274, 543, 16817, 476, 279, 269, 271, 269, 272, 267, 1927, 609, 824, 5665, 1949, 543, 930, 18960, 8747, 540, 891, 7396, 267, 616, 1634, 547, 960, 609, 1978, 7687, 563, 13640, 822, 23709, 1436, 1489, 585, 1978, 3457, 568, 2139, 585, 12380, 267, 7046, 7034, 291, 267, 5131, 7034, 291, 267, 4880, 7034, 291, 267, 4643, 476, 280, 543, 8837, 14538, 1210, 519, 12484, 22473, 16286, 269, 901, 7028, 513, 1612, 822, 23709, 25494, 3556, 267, 513, 1612, 822, 23709, 12210, 594, 23860, 17120, 267, 513, 17891, 3926, 585, 14577, 16823, 3965, 6165, 267, 543, 513, 966, 16598, 12449, 8818, 1210, 9501, 21201, 610, 966, 300, 2264, 10256, 563, 288, 1164, 7400, 7650, 540, 519, 918, 30470, 270, 304, 4932, 308, 5691, 1436, 1604, 281, 274, 454, 3528, 3294, 267, 918, 30470, 1281, 711, 1685, 1022, 900, 1637, 269, 5502, 267, 621, 27875, 519, 1315, 22563, 31574, 341, 332, 8818, 267, 799, 513, 3755, 10628, 3984, 666, 1287, 946, 547, 912, 268, 5590, 909, 519, 16823, 966, 300, 781, 2232, 2230, 269, 634, 3984, 1590, 849, 3761, 513, 6109, 2264, 3239, 630, 17141, 513, 2688, 19739, 5308, 950, 900, 6819, 7193, 338, 264, 602, 519, 16823, 666, 946, 547, 18849, 560, 1905, 883, 922, 1292, 13013, 563, 268, 16376, 519, 16823, 20533, 594, 23860, 563, 268, 10934, 519, 16823, 781, 3381, 4159, 1394, 5196, 519, 3984, 563, 4002, 12380, 267, 1627, 4932, 308, 8747, 476, 271, 269, 1015, 269, 272, 543, 2663, 568, 835, 971, 3755, 10628, 3984, 269, 1627, 4932, 308, 3096, 918, 30470, 950, 2139, 547, 5691, 1125, 14538, 693, 2282, 28921, 11250, 267, 855, 6382, 8813, 1394, 547, 3301, 26209, 900, 1637, 563, 12421, 958, 267, 918, 30470, 3096, 7256, 10292, 5308, 607, 606, 1930, 2707, 6388, 540, 513, 476, 1626, 19229, 1535, 10436, 19739, 5308, 563, 298, 30470, 781, 2694, 616, 13931, 896, 1585, 717, 26214, 27121, 912, 268, 918, 30470, 17830, 9074, 281, 717, 12195, 642, 273, 454, 268, 918, 30470, 3593, 9074, 281, 9437, 12195, 642, 273, 454, 268, 1627, 4932, 308, 5691, 17765, 4295, 5399, 630, 12221, 336, 655, 340, 18502, 264, 543, 1627, 4932, 308, 7193, 1062, 900, 15975, 281, 9437, 12195, 454, 268, 12380, 3593, 7154, 1627, 4932, 308, 900, 15975, 281, 717, 12195, 454, 268, 19739, 5308, 6119, 630, 321, 3930, 12500, 514, 267, 642, 326, 629, 3930, 12500, 514, 543, 642, 326, 629, 3930, 2275, 597, 6350, 12500, 514, 2567, 9437, 12195, 642, 273, 610, 2663, 454, 288, 12858, 918, 2032, 3459, 519, 1646, 540, 918, 30470, 693, 1627, 636, 3757, 564, 267, 513, 2029, 23492, 2754, 602, 729, 9715, 676, 4414, 24051, 538, 476, 1220, 279, 563, 298, 30470, 729, 24673, 883, 519, 12380, 17830, 1292, 1467, 538, 17830, 4528, 476, 273, 269, 277, 269, 736, 267, 799, 729, 5950, 593, 476, 276, 5988, 476, 1220, 278, 563, 298, 30470, 568, 9738, 676, 14529, 23383, 12844, 345, 7236, 563, 20877, 673, 2359, 2645, 454, 12221, 341, 7398, 7028, 918, 30470, 454, 268, 13690, 14024, 1107, 1357, 2861, 5691, 1436, 2359, 1907, 585, 918, 30470, 454, 268, 14044, 10724, 15440, 1107, 7028, 2870, 267, 11049, 267, 4358, 267, 543, 16069, 918, 30470, 2861, 5691, 6191, 267, 607, 1134, 607, 2661, 610, 4411, 8749, 7146, 1673, 1886, 9194, 540, 966, 16039, 1063, 14747, 563, 268, 1160, 343, 332, 2135, 14044, 5113, 1107, 606, 1930, 21299, 5691, 1436, 2359, 10189, 1519, 918, 30470, 543, 7046, 309, 313, 269, 898, 814, 513, 11953, 2173, 13926, 3888, 518, 267, 513, 1357, 2861, 6552, 2359, 717, 21397, 267, 543, 18593, 5010, 1489, 563, 268, 7046, 304, 305, 300, 1107, 2359, 3760, 585, 5883, 26945, 1239, 4099, 1102, 2858, 23461, 563, 268, 717, 301, 26041, 13340, 525, 1107, 717, 333, 727, 8818, 585, 5883, 5391, 341, 7398, 14538, 593, 12380, 563, 268, 522, 309, 7398, 1107, 1930, 21299, 5691, 1436, 2359, 1907, 585, 918, 30470, 3710, 593, 1283, 540, 5391, 341, 7398, 454, 347, 21581, 3556, 1475, 290, 597, 6350, 14160, 31270, 476, 276, 4510, 277, 623, 5746, 966, 16598, 3556, 267, 546, 16244, 966, 16598, 3556, 609, 4425, 577, 338, 966, 2464, 288, 24909, 267, 610, 5164, 326, 559, 607, 513, 5691, 476, 274, 291, 29453, 2008, 19064, 5746, 1475, 328, 24496, 293, 311, 3984, 623, 5746, 8115, 543, 623, 2862, 311, 274, 623, 5746, 547, 4959, 288, 8115, 2008, 347, 19152, 3926, 1475, 4916, 270, 273, 31040, 543, 6206, 4580, 2008, 16085, 895, 3556, 1475, 306, 895, 2349, 2120, 476, 1626, 267, 661, 10064, 2177, 296, 304, 23866, 303, 5746, 11536, 15389, 271, 267, 3400, 6665, 8299, 14647, 717, 293, 272, 267, 11483, 275, 2537, 272, 288, 15095, 2008, 347, 292, 22313, 8416, 3556, 1475, 4456, 291, 2549, 8064, 290, 280, 3583, 288, 630, 8649, 278, 4200, 271, 1070, 661, 1911, 271, 630, 4504, 601, 476, 279, 1839, 2412, 4932, 267, 476, 279, 1839, 10463, 299, 267, 476, 279, 1839, 4510, 24774, 1070, 17252, 1220, 271, 267, 543, 7464, 974, 330, 21512, 299, 279, 1724, 280, 2008, 347, 19400, 27594, 22245, 1475, 4504, 601, 476, 30697, 271, 2464, 289, 610, 25153, 10384, 2008, 31340, 4456, 1475, 24992, 476, 2004, 15406, 543, 476, 3953, 19505, 2008, 347, 9573, 308, 1475, 272, 1107, 476, 8182, 8713, 5825, 2008, 268, 13891, 1014, 476, 276, 269, 271, 543, 1657, 454, 268, 22918, 5622, 12380, 454, 268, 10668, 657, 2861, 14778, 454, 268, 4414, 24051, 27617, 12380, 630, 305, 4047, 299, 264, 476, 276, 269, 275, 543, 1657, 454, 268, 590, 27516, 12380, 27617, 18218, 630, 20784, 2464, 264, 476, 1556, 9501, 272, 543, 1657, 454, 268, 29974, 31583, 476, 1015, 269, 6860, 700, 4811, 543, 1657, 454, 268, 1133, 643, 1549, 23654, 18218, 0, 9558, 819, 19019, 6651, 910, 476, 9610, 10619, 454, 5649, 707, 1433, 9170, 267, 593, 1022, 3926, 267, 998, 4414, 306, 3559, 325, 781, 6531, 1759, 552, 5649, 518, 563, 19445, 11872, 543, 5530, 13088, 454, 289, 16742, 2987, 1353, 2645, 1331, 8711, 267, 1353, 10274, 267, 14391, 725, 267, 8847, 267, 15460, 267, 543, 5698, 563, 5970, 519, 1433, 1224, 547, 596, 2336, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 1031, 22356, 563, 21206, 3883, 19672, 454, 763, 21846, 19019, 6651, 2488, 1647, 268, 543, 1164, 17469, 3610, 4277, 543, 2502, 2238, 543, 2200, 547, 948, 1053, 3914, 741, 5912, 3853, 269, 16497, 1331, 7317, 2238, 1210, 519, 2146, 267, 1920, 267, 543, 5769, 2200, 547, 4125, 1053, 538, 1483, 8996, 3871, 269, 634, 6651, 20383, 6044, 2047, 609, 519, 476, 6872, 21846, 10341, 4857, 609, 519, 21846, 12020, 22802, 4149, 324, 1718, 9990, 630, 9143, 296, 268, 273, 264, 610, 998, 1022, 5912, 4879, 563, 9743, 2315, 531, 2238, 616, 6896, 538, 519, 3376, 2127, 540, 11554, 267, 4804, 267, 543, 12389, 543, 1331, 5216, 3584, 1369, 891, 2127, 734, 28236, 5532, 547, 519, 5871, 11759, 3557, 11621, 269, 1452, 6402, 1683, 7855, 513, 1797, 540, 8236, 4441, 4143, 547, 519, 1153, 3562, 14194, 738, 2000, 1516, 5912, 1184, 1247, 8220, 1893, 6575, 543, 6128, 4441, 547, 1483, 1272, 269, 21846, 14292, 2238, 616, 6896, 607, 5205, 912, 22512, 518, 14893, 543, 12020, 454, 10387, 7877, 11310, 543, 10341, 454, 23114, 14559, 5004, 454, 26322, 12833, 9876, 618, 543, 26402, 454, 16085, 1245, 1635, 1475, 24165, 268, 3633, 14539, 267, 5549, 8198, 31871, 540, 9664, 1475, 10755, 347, 0, 2791, 666, 1451, 827, 12110, 9972, 1416, 543, 666, 1265, 1416, 4758, 2472, 267, 9659, 11226, 267, 11361, 1416, 2472, 267, 8808, 1753, 7727, 267, 1753, 2564, 7727, 1299, 3937, 602, 786, 948, 6023, 1022, 3390, 609, 693, 1753, 1416, 269, 1656, 952, 596, 723, 513, 2648, 835, 602, 949, 991, 13930, 538, 519, 2282, 2104, 267, 596, 723, 1336, 513, 3135, 609, 1344, 547, 948, 596, 1376, 1620, 875, 713, 2068, 5540, 596, 607, 519, 27877, 543, 1018, 2200, 616, 2139, 585, 707, 2648, 3283, 689, 1376, 547, 9096, 563, 5719, 10879, 568, 519, 2530, 540, 5042, 8647, 1765, 628, 9722, 267, 19551, 267, 543, 7744, 11652, 8965, 5759, 547, 971, 606, 6708, 602, 621, 7679, 31013, 609, 513, 1268, 781, 3232, 1272, 543, 2238, 269, 1452, 3252, 1331, 3965, 267, 1893, 1983, 267, 3308, 8226, 267, 1966, 6061, 267, 1582, 31193, 267, 543, 519, 2702, 547, 1445, 543, 2628, 3007, 269, 2368, 1004, 609, 12110, 3112, 1852, 741, 4664, 267, 543, 741, 14789, 949, 1689, 269, 1546, 10879, 9832, 538, 10335, 689, 519, 7646, 652, 3942, 267, 950, 621, 568, 1175, 4098, 547, 1860, 513, 1268, 781, 8647, 267, 547, 519, 1034, 4049, 3942, 267, 950, 519, 1268, 1590, 4096, 4625, 593, 1866, 585, 2596, 2238, 540, 2713, 269, 1546, 10879, 9639, 2154, 2027, 2472, 547, 2149, 2933, 543, 519, 1268, 2921, 1416, 540, 741, 2115, 563, 29819, 543, 2589, 540, 12110, 1267, 950, 2899, 268, 11794, 11409, 630, 1676, 557, 2281, 264, 538, 519, 2634, 3247, 2324, 267, 6336, 4296, 609, 824, 2634, 2281, 267, 543, 5884, 269, 2755, 3025, 19380, 930, 11409, 607, 789, 2085, 267, 1004, 609, 12110, 1995, 2484, 3152, 2530, 563, 4407, 12110, 568, 811, 1455, 607, 1004, 1332, 4587, 630, 1575, 547, 3368, 540, 782, 1004, 2085, 476, 5952, 610, 4587, 949, 723, 930, 1106, 540, 12110, 1070, 621, 568, 711, 513, 3339, 851, 540, 10172, 269, 3509, 1004, 2661, 883, 741, 476, 3445, 338, 543, 3564, 1510, 1022, 4191, 540, 12110, 269, 2290, 1826, 540, 12110, 267, 4395, 582, 32294, 4713, 267, 568, 811, 1455, 538, 1647, 27070, 982, 4587, 4079, 563, 763, 3123, 540, 12110, 666, 4268, 267, 4470, 593, 519, 2010, 540, 2634, 2242, 602, 949, 581, 2921, 1747, 269, 12216, 781, 2068, 568, 519, 1034, 1455, 2014, 540, 12110, 538, 4587, 4079, 269, 4033, 632, 618, 5362, 1331, 10197, 344, 1560, 12110, 267, 4395, 582, 32294, 4713, 267, 543, 15466, 12110, 269, 898, 568, 1455, 585, 1004, 547, 723, 6404, 12110, 12544, 4999, 540, 1079, 610, 811, 2010, 540, 12110, 269, 1280, 1383, 267, 930, 1004, 723, 1312, 12216, 781, 2068, 543, 15466, 12110, 563, 2414, 13209, 12110, 267, 7189, 1101, 2708, 2436, 513, 1268, 814, 606, 5817, 1521, 762, 2783, 971, 607, 9402, 11178, 1599, 267, 3339, 2604, 8652, 21306, 639, 267, 610, 513, 6171, 10638, 602, 949, 9305, 547, 5042, 7965, 269, 7216, 7020, 540, 2589, 568, 1271, 267, 607, 930, 3123, 666, 581, 5701, 269, 769, 1082, 2665, 267, 519, 1808, 1826, 540, 12110, 513, 1268, 814, 949, 711, 581, 9672, 2394, 1310, 519, 1268, 814, 5747, 543, 519, 2634, 568, 8947, 563, 2171, 4076, 782, 16618, 513, 2012, 267, 1141, 649, 2322, 938, 10569, 267, 610, 952, 649, 19526, 519, 4395, 7450, 269, 898, 779, 3339, 547, 7340, 1919, 2899, 538, 513, 1247, 269, 1809, 3978, 3965, 2042, 1118, 621, 2182, 547, 798, 4948, 1919, 269, 1280, 1326, 1154, 875, 547, 1118, 1689, 267, 946, 519, 15146, 267, 610, 1265, 707, 1259, 1753, 949, 581, 4191, 540, 513, 811, 3978, 3965, 1966, 563, 2690, 930, 4587, 1004, 267, 3965, 2042, 616, 513, 1129, 540, 7646, 5042, 15717, 267, 12216, 779, 2068, 267, 610, 513, 1644, 12110, 269, 4658, 945, 616, 14126, 827, 3965, 2042, 1058, 1294, 513, 4387, 269, 20050, 602, 621, 1522, 581, 942, 547, 2911, 547, 513, 4387, 1331, 912, 10144, 609, 3965, 20286, 1058, 1118, 513, 1246, 5346, 13393, 547, 2638, 741, 3965, 1310, 476, 277, 3275, 547, 513, 1032, 269, 1358, 666, 2307, 513, 1920, 4759, 267, 3659, 267, 610, 519, 4387, 779, 5604, 547, 7618, 873, 952, 789, 2461, 14126, 789, 3580, 7340, 269, 1656, 519, 27877, 666, 454, 4537, 641, 5516, 326, 1853, 303, 20094, 2593, 585, 9659, 11226, 267, 11361, 1416, 2472, 267, 538, 1753, 8808, 7727, 267, 28876, 267, 19703, 543, 8023, 27022, 267, 1753, 2564, 7727, 543, 3937, 563, 1607, 3135, 2488, 9862, 27022, 267, 4217, 633, 3457, 267, 13344, 585, 519, 11361, 267, 20650, 267, 9659, 11226, 267, 2472, 585, 519, 27656, 11474, 267, 543, 6266, 540 ]

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

[ 269, 1452, 9118, 18784, 31276, 10008, 1683, 606, 11999, 2627, 1858, 585, 5135, 543, 3327, 8166, 5385, 1063, 938, 18072, 543, 519, 2011, 649, 13236, 269, 27488, 7575, 689, 519, 31276, 10008, 883, 2699, 1973, 2281, 267, 1247, 3653, 995, 3327, 8166, 608, 1080, 519, 6587, 1259, 269, 2060, 1169, 7362, 649, 1491, 267, 6634, 540, 971, 8852, 2049, 8195, 267, 3850, 721, 547, 2661, 543, 1847, 780, 3086, 4952, 952, 1945, 7679, 31013, 609, 713, 10347, 1184, 286, 17148, 7133, 5761, 1599, 666, 2014, 7244, 7965, 543, 11874, 1764, 835, 779, 2298, 540, 1272, 269, 2334, 6770, 721, 547, 938, 5869, 2221, 910, 3039, 7401, 256, 14216, 1882, 689, 519, 796, 31038, 1242, 3762, 540, 6682, 749, 807, 5609, 18424, 2371, 267, 621, 814, 1279, 1044, 9976, 538, 1585, 4529, 585, 922, 3875, 1072, 2640, 269, 1809, 1018, 2306, 3039, 7401, 2027, 950, 621, 2501, 547, 938, 9641, 286, 2913, 781, 1265, 856, 2439, 21691, 2988, 1156, 11169, 616, 3532, 14434, 6923, 1459, 538, 1082, 5613, 267, 5388, 267, 543, 10425, 267, 1519, 3039, 7401, 269, 1358, 2149, 938, 1560, 1996, 5739, 1863, 18119, 267, 4227, 6553, 543, 5009, 2949, 1434, 1072, 269, 7324, 782, 2010, 540, 7401, 267, 3039, 7401, 3568, 519, 5207, 5834, 540, 25168, 1156, 11169, 267, 5097, 538, 519, 1106, 540, 524, 622, 577, 1231, 269, 5525, 2303, 602, 891, 14984, 6878, 4865, 4761, 28967, 24031, 3601, 267, 1818, 873, 5732, 6225, 8069, 1996, 10194, 5563, 899, 16568, 17336, 268, 273, 267, 3743, 585, 5046, 268, 866, 780, 11101, 267, 1382, 6920, 602, 3039, 7401, 25168, 1156, 11169, 6542, 11141, 4550, 13611, 2360, 676, 1139, 7675, 1808, 6675, 3238, 538, 24254, 6553, 1369, 938, 1560, 269, 4595, 5312, 6553, 1419, 896, 15533, 1082, 17422, 3676, 267, 10438, 3039, 7401, 5781, 1223, 5351, 538, 4509, 6099, 5761, 8647, 269, 3958, 267, 3039, 7401, 15225, 2178, 15934, 4162, 602, 16102, 5761, 8031, 689, 3441, 3361, 676, 2825, 14107, 267, 7551, 7700, 547, 1732, 7929, 1072, 780, 3719, 7227, 267, 972, 781, 811, 256, 14755, 6830, 4328, 938, 23640, 1996, 5007, 6937, 543, 28530, 6553, 267, 3039, 7401, 25168, 1156, 11169, 1397, 9153, 538, 7393, 938, 17916, 4761, 3210, 1932, 269, 589, 7347, 4761, 1062, 4249, 513, 2565, 1909, 538, 21108, 721, 1996, 32415, 13596, 1247, 5329, 4835, 20817, 693, 15922, 269, 4935, 267, 6220, 3039, 7401, 883, 938, 3232, 6296, 28382, 938, 1560, 609, 3063, 24915, 2556, 547, 2226, 8445, 2773, 543, 535, 754, 1055, 10108, 3927, 780, 3383, 267, 1985, 942, 596, 1745, 899, 521, 6235, 593, 1945, 3636, 543, 4313, 532, 267, 2015, 28823, 3054, 513, 25695, 7484, 540, 3039, 7401, 269, 3502, 1152, 1281, 621, 6492, 17175, 267, 855, 621, 849, 24502, 3833, 513, 24362, 950, 621, 2501, 547, 5885, 938, 7929, 1072, 256, 5457, 267, 2921, 1416, 540, 6000, 3322, 14637, 1312, 2247, 543, 1560, 282, 3976, 267, 30015, 6000, 609, 1702, 827, 2067, 13300, 899, 3039, 7401, 5713, 607, 1776, 1900, 2509, 1582, 268, 11391, 1077, 618, 269, 8414, 521, 6235, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 18043, 5623, 540, 519, 15783, 2422, 540, 5682, 21281, 2717, 2988, 1156, 11169, 538, 519, 5004, 540, 5046, 268, 866, 454, 16675, 7401, 568, 3812, 689, 6682, 749, 807, 5609, 18424, 630, 299, 4700, 19512, 543, 3762, 602, 723, 711, 8854, 998, 519, 16617, 543, 530, 2416, 532, 3157, 1031, 547, 3132, 3109, 543, 522, 565, 784, 29225, 269, 898, 729, 12090, 538, 3624, 267, 855, 922, 14713, 543, 2504, 723, 9450, 547, 824, 8109, 7489, 2477, 269, 11153, 25168, 1156, 4301, 7135, 267, 1519, 7657, 663, 2723, 338, 267, 32064, 11169, 267, 32064, 6950, 267, 543, 4307, 4301, 7408, 267, 616, 1336, 538, 3039, 7401, 543, 949, 13822, 3152, 982, 476, 1789, 260, 540, 519, 3819, 2597, 269, 4469, 822, 517, 11169, 267, 2523, 524, 622, 577, 1231, 267, 2099, 519, 5354, 540, 3039, 7401, 25168, 1156, 11169, 269, 5682, 7401, 25168, 1156, 4301, 7135, 723, 1044, 4080, 547, 24705, 1896, 1072, 2640, 269, 901, 2689, 6257, 519, 1761, 946, 540, 3039, 7401, 25168, 1156, 11169, 538, 519, 2359, 540, 11452, 2068, 476, 1001, 280, 630, 26542, 268, 866, 1040, 634, 6375, 558, 617, 17419, 267, 27611, 267, 15934, 267, 543, 4550, 13611, 2360, 540, 3039, 7401, 25168, 1156, 11169, 723, 849, 1044, 2808, 538, 713, 2689, 269, 769, 740, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4910, 21732, 25665, 257, 607, 851, 540, 834, 25503, 1315, 25665, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4144, 28549, 15907, 519, 2622, 692, 8893, 476, 275, 281, 5548, 5534, 16639, 540, 4144, 28549, 692, 8702, 1394, 267, 1762, 17701, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 1776, 11477, 7045, 607, 649, 2263, 930, 2757, 8286, 10150, 1282, 4144, 28549, 267, 835, 540, 519, 7887, 543, 6505, 652, 14812, 538, 3127, 543, 1851, 4095, 2950, 5001, 269, 3807, 899, 875, 1114, 4529, 8661, 741, 2189, 5389, 543, 9821, 267, 789, 849, 723, 741, 1378, 10058, 32345, 602, 7001, 519, 9759, 540, 741, 15976, 269, 2913, 781, 4685, 883, 713, 8949, 3460, 543, 3605, 1018, 2306, 4144, 28549, 971, 513, 32727, 696, 1190, 11812, 2439, 291, 12685, 8932, 267, 849, 1634, 607, 12213, 822, 8932, 267, 568, 2442, 569, 5219, 547, 607, 519, 16635, 540, 28691, 269, 898, 23327, 519, 11802, 540, 1769, 936, 14334, 267, 1434, 936, 9409, 267, 543, 1702, 936, 22293, 269, 19198, 8661, 676, 8654, 3282, 22311, 267, 16802, 532, 32030, 267, 27300, 13344, 267, 9849, 1007, 9660, 267, 7718, 908, 5321, 267, 543, 8600, 632, 937, 762, 905, 6814, 269, 24935, 540, 799, 267, 1577, 721, 6338, 596, 547, 5216, 5023, 22476, 13000, 5260, 10696, 2066, 1585, 17334, 540, 4144, 28549, 269, 3213, 4532, 2064, 286, 1284, 1589, 711, 256, 9462, 502, 489, 692, 301, 697, 476, 272, 281, 7937, 267, 8409, 11146, 569, 4678, 7719, 2336, 29432, 4131, 781, 14736, 1055, 938, 8819, 1258, 5669, 4663, 609, 513, 8670, 602, 1522, 3280, 5432, 1765, 26245, 7719, 256, 1403, 596, 11291, 938, 4901, 827, 12390, 4157, 27204, 538, 513, 3105, 3992, 630, 331, 11343, 11992, 538, 707, 1837, 1070, 596, 949, 3314, 891, 17705, 15837, 3443, 31817, 269, 1809, 1705, 596, 917, 602, 12075, 849, 5965, 741, 4528, 540, 4234, 7719, 1282, 4144, 28549, 286, 17214, 5097, 689, 27054, 4765, 12277, 267, 19637, 267, 14546, 267, 543, 11922, 267, 891, 5743, 6853, 25394, 616, 13719, 1922, 3072, 2394, 11344, 6960, 267, 1287, 6039, 3905, 609, 669, 583, 7958, 610, 27156, 269, 962, 636, 2439, 3086, 4952, 11981, 891, 17175, 4234, 7719, 1247, 11303, 676, 6068, 3283, 267, 4687, 2984, 543, 17409, 269, 6496, 333, 1405, 602, 1175, 3636, 707, 2295, 286, 901, 1995, 19141, 519, 7772, 748, 5790, 540, 1927, 1145, 602, 15449, 919, 1169, 7944, 540, 5321, 1282, 4144, 28549, 269, 1306, 3885, 5531, 547, 556, 329, 4069, 538, 519, 13037, 781, 4644, 267, 1426, 3587, 606, 1898, 5420, 998, 799, 8823, 616, 2813, 543, 19644, 585, 1296, 547, 2097, 269, 1656, 7058, 1018, 286, 1703, 781, 811, 1141, 602, 3357, 689, 2439, 301, 697, 476, 273, 281, 21690, 6164, 338, 1765, 306, 18860, 1146, 12011, 582, 13910, 2336, 5785, 15365, 4002, 519, 2034, 3781, 540, 4144, 28549, 267, 1004, 32696, 538, 1945, 5963, 2027, 1765, 338, 18860, 1146, 344, 3999, 256, 1452, 2620, 1922, 3072, 14859, 22756, 4904, 609, 4829, 25888, 610, 8169, 731, 616, 11613, 22023, 626, 1043, 267, 2523, 950, 20057, 1194, 609, 32314, 4006, 269, 4014, 3335, 2404, 609, 12390, 4157, 27204, 267, 647, 325, 1146, 344, 3999, 814, 1831, 5051, 2442, 1282, 4144, 28549, 607, 1134, 269, 4208, 267, 596, 2307, 286, 4270, 267, 1317, 945, 666, 5706, 891, 2770, 27918, 11084, 540, 8788, 865, 8898, 538, 6653, 21360, 286, 3502, 721, 2439, 2026, 596, 1491, 513, 11116, 883, 891, 31676, 1642, 2074, 267, 1450, 3054, 547, 9784, 519, 4763, 540, 2686, 5385, 269, 14080, 11040, 899, 4144, 28549, 2709, 3255, 585, 1114, 2950, 547, 1451, 689, 835, 1776, 267, 2671, 2853, 267, 543, 6038, 10802, 938, 2518, 6561, 269, 3767, 1780, 1346, 24494, 22556, 713, 1259, 267, 5225, 2439, 263, 9616, 547, 7855, 281, 18461, 1863, 547, 7696, 2085, 29003, 5717, 827, 2686, 18236, 267, 3261, 566, 267, 543, 2463, 24355, 301, 697, 476, 274, 281, 1290, 3228, 28690, 1765, 298, 1872, 601, 589, 11445, 1080, 2336, 5785, 19030, 3528, 1631, 267, 596, 1590, 581, 11842, 952, 972, 781, 4376, 3564, 22304, 3536, 1282, 4144, 28549, 269, 1937, 787, 711, 256, 2201, 519, 3791, 3781, 267, 649, 7237, 737, 1872, 601, 267, 513, 22101, 518, 1961, 1500, 609, 30653, 610, 12277, 267, 5798, 267, 8645, 267, 543, 3006, 5613, 610, 5388, 269, 645, 8898, 547, 19870, 267, 621, 5713, 607, 513, 4313, 532, 2427, 8670, 3501, 585, 1022, 18241, 11018, 780, 13914, 540, 737, 1872, 601, 607, 513, 2462, 29751, 689, 9835, 2742, 1765, 24711, 344, 267, 27357, 267, 543, 19315, 27940, 1606, 15384, 325, 3539, 269, 4706, 4527, 693, 519, 4144, 28549, 3349, 19752, 2648, 267, 29454, 267, 543, 14246, 1765, 11161, 7184, 11251, 1369, 22686, 7554, 269, 5994, 9361, 1524, 609, 707, 6905, 1920, 1310, 513, 1279, 1554, 540, 7908, 8481, 267, 20857, 883, 513, 2848, 5446, 6676, 540, 737, 1872, 601, 267, 543, 4687, 8941, 540, 2025, 2053, 269, 16319, 9589, 267, 3085, 1405, 621, 2496, 301, 697, 476, 275, 281, 20405, 4211, 10541, 6153, 1145, 1765, 2419, 12040, 5384, 2336, 14343, 13430, 7476, 4712, 585, 930, 3500, 2275, 10541, 9059, 593, 519, 8772, 3781, 1572, 26601, 550, 256, 20530, 11395, 569, 5423, 676, 9484, 14551, 328, 7642, 855, 17947, 676, 1082, 1866, 267, 713, 12403, 1138, 11302, 16074, 543, 568, 10150, 1282, 1744, 13741, 520, 6980, 269, 13268, 539, 609, 5779, 267, 10365, 267, 24061, 267, 12277, 267, 543, 824, 19787, 267, 26601, 550, 2112, 916, 1312, 11350, 625, 543, 12271, 7567, 780, 5331, 24971, 909, 547, 922, 21915, 531, 1944, 24710, 3649, 1111, 532, 998, 707, 1753, 267, 22348, 3025, 602, 5103, 646, 8157, 16131, 543, 9118, 19240, 267, 1920, 3788, 3844, 547, 938, 2729, 269, 13518, 899, 669, 12040, 781, 7041, 1184, 267, 2679, 2178, 3347, 3217, 9639, 267, 1416, 267, 543, 11007, 269, 14348, 333, 1405, 596, 3858, 2496, 301, 697, 476, 276, 281, 4858, 3660, 25925, 1765, 4504, 18166, 5668, 1695, 2336, 14343, 21387, 289, 1348, 18798, 26595, 256, 9373, 1672, 1695, 267, 519, 18991, 2909, 3660, 3138, 2378, 740, 1819, 676, 782, 269, 2037, 878, 1117, 609, 5798, 543, 1419, 1350, 18968, 609, 19542, 267, 1672, 1695, 1178, 806, 7515, 593, 590, 30117, 543, 824, 6014, 14812, 267, 1519, 4144, 28549, 269, 2755, 8385, 689, 3504, 5527, 267, 713, 3694, 6591, 8560, 1851, 7642, 543, 2968, 513, 20013, 538, 741, 10820, 780, 30706, 6836, 17444, 6306, 2571, 22204, 540, 28448, 19323, 1672, 1695, 286, 2107, 5310, 1019, 6137, 873, 883, 29549, 27130, 610, 1210, 873, 607, 26889, 13279, 286, 6270, 2241, 5418, 9778, 7618, 721, 540, 1272, 781, 3675, 903, 543, 12927, 4296, 1063, 2043, 269, 3619, 6619, 267, 2285, 621, 513, 2119, 2439, 301, 697, 476, 277, 281, 31201, 344, 1473, 592, 10885, 1765, 10267, 3150, 2349, 842, 8240, 23894, 517, 2336, 24801, 14945, 5141, 846, 707, 4064, 543, 19424, 513, 6094, 1212, 701, 28077, 609, 6063, 557, 1399, 10381, 11423, 267, 9900, 1094, 583, 2946, 539, 2394, 11344, 19870, 269, 8080, 547, 519, 1158, 540, 1025, 842, 8240, 256, 20323, 688, 4979, 689, 8109, 2342, 267, 891, 17175, 1612, 26118, 1336, 741, 1747, 9624, 4144, 28549, 7908, 8481, 1932, 269, 4256, 11029, 29284, 1264, 906, 2927, 640, 735, 4925, 610, 10217, 5671, 26072, 4898, 2685, 780, 7922, 842, 8240, 2099, 17545, 1765, 332, 1276, 899, 875, 3309, 2950, 32069, 11100, 1282, 18371, 2621, 269, 6787, 6039, 6653, 610, 29902, 267, 1025, 842, 8240, 8597, 547, 8795, 5493, 22863, 267, 11744, 13784, 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 ]

[ 568, 7915, 538, 9111, 2016, 602, 621, 568, 513, 2101, 9107, 1062, 269, 667, 22844, 4967, 602, 519, 9291, 540, 7126, 2488, 20038, 267, 585, 2043, 543, 18441, 824, 982, 1507, 2829, 267, 602, 1223, 581, 1031, 547, 4831, 1713, 28407, 540, 5354, 4341, 269, 2549, 2056, 519, 9139, 568, 12777, 7543, 2016, 519, 4170, 538, 9137, 966, 269, 3689, 267, 2549, 754, 906, 666, 1152, 581, 6069, 676, 1079, 22188, 8917, 538, 1312, 519, 5600, 543, 14130, 610, 676, 13170, 540, 1079, 22188, 540, 1533, 9777, 2137, 538, 15007, 269, 3973, 3731, 2305, 666, 581, 2016, 676, 13170, 540, 1312, 519, 5600, 543, 14130, 610, 1614, 21144, 2195, 540, 1533, 9777, 2137, 269, 769, 1840, 267, 9137, 966, 2829, 267, 968, 5591, 1533, 267, 1510, 922, 9844, 267, 4927, 581, 27226, 540, 922, 3160, 27049, 538, 519, 14130, 1848, 667, 22844, 630, 1220, 273, 267, 476, 14065, 268, 14341, 264, 4967, 602, 22853, 1223, 581, 17808, 676, 281, 774, 8812, 21144, 6845, 2209, 689, 519, 11157, 8696, 10545, 2829, 609, 476, 278, 269, 279, 2600, 540, 519, 772, 2529, 269, 2551, 269, 1403, 621, 5293, 519, 14130, 267, 1287, 24369, 1533, 9777, 2137, 538, 519, 10545, 2829, 267, 476, 274, 269, 280, 2600, 540, 519, 772, 2529, 2551, 267, 1223, 3625, 3731, 2305, 269, 589, 1876, 1223, 581, 5293, 538, 519, 14130, 676, 15823, 14633, 6845, 2209, 689, 8938, 29350, 2829, 267, 476, 1240, 2600, 540, 519, 772, 2529, 269, 2551, 269, 667, 22844, 779, 3070, 568, 602, 519, 14130, 581, 27618, 269, 3509, 7262, 11180, 2477, 723, 22833, 600, 1968, 9777, 2137, 269, 1717, 267, 538, 1034, 540, 891, 2477, 267, 1519, 519, 2296, 12057, 267, 519, 5580, 2777, 814, 1044, 27618, 610, 16094, 18604, 563, 17812, 816, 281, 1160, 1636, 1308, 23830, 769, 4334, 547, 519, 590, 13270, 1062, 267, 16295, 616, 711, 21248, 593, 519, 4493, 540, 513, 32469, 610, 5354, 282, 3079, 16295, 616, 21248, 8167, 958, 2687, 547, 519, 1297, 540, 16018, 4607, 676, 519, 5428, 269, 901, 1062, 2636, 585, 2789, 6041, 538, 13102, 269, 1717, 267, 14354, 6041, 568, 711, 513, 3443, 25445, 269, 898, 666, 581, 7294, 543, 16018, 666, 581, 8237, 538, 971, 513, 1259, 607, 547, 2327, 602, 1100, 2582, 5428, 666, 3035, 513, 32469, 610, 513, 5354, 269, 901, 666, 1291, 547, 4666, 6674, 543, 16132, 269, 1280, 1383, 267, 7977, 814, 1185, 476, 6812, 6608, 2094, 476, 3707, 277, 269, 769, 891, 1949, 267, 513, 5428, 602, 17993, 676, 513, 28489, 32469, 1419, 814, 547, 1106, 513, 22687, 538, 1931, 547, 3895, 22122, 269, 6271, 5413, 540, 513, 8167, 958, 11347, 1062, 568, 538, 2477, 609, 2620, 6803, 543, 610, 3909, 15523, 269, 2368, 1949, 267, 6140, 538, 5824, 3013, 267, 1450, 585, 6131, 6041, 540, 6805, 18441, 269, 769, 476, 1960, 275, 267, 28469, 773, 25511, 1512, 267, 513, 1876, 7548, 9930, 3990, 547, 581, 519, 19608, 30374, 4937, 585, 6406, 7126, 267, 4503, 519, 9930, 1588, 593, 519, 12406, 540, 1200, 1489, 585, 513, 14354, 6041, 1062, 269, 769, 513, 2749, 4204, 9550, 585, 2947, 14643, 16295, 267, 2161, 267, 1142, 28056, 1131, 723, 2947, 16018, 267, 799, 1352, 1223, 15814, 1851, 519, 2947, 10457, 1022, 1259, 1352, 15055, 269, 1403, 513, 11359, 540, 519, 17037, 1904, 539, 547, 834, 322, 636, 3634, 2437, 610, 726, 2794, 267, 782, 741, 16018, 585, 835, 11134, 267, 789, 1131, 581, 2111, 547, 1528, 835, 540, 519, 2947, 269, 2349, 2931, 1223, 798, 713, 952, 789, 8359, 547, 267, 855, 865, 1223, 1022, 23887, 1895, 540, 6190, 2450, 269, 901, 1062, 568, 900, 874, 5597, 711, 7292, 569, 1759, 281, 621, 2636, 17037, 547, 10891, 2933, 593, 8726, 4493, 789, 6999, 269, 898, 814, 2965, 1044, 6836, 538, 513, 1906, 22875, 4534, 1519, 519, 605, 14620, 6053, 1977, 2749, 540, 3212, 18319, 267, 13325, 4534, 543, 814, 1185, 8037, 1967, 538, 782, 540, 873, 269, 5518, 22735, 1767, 602, 1352, 1185, 8604, 547, 12167, 14354, 6041, 267, 513, 2990, 646, 1572, 834, 656, 573, 655, 7095, 543, 1360, 2352, 547, 9718, 1701, 4165, 573, 655, 7095, 286, 2334, 786, 2097, 607, 3377, 547, 519, 1434, 1004, 540, 5125, 267, 8050, 267, 519, 13814, 267, 543, 13785, 267, 1851, 824, 2477, 269, 11569, 267, 1034, 540, 519, 1528, 528, 919, 540, 25550, 2342, 267, 1519, 1346, 540, 519, 5391, 23306, 5101, 267, 1528, 741, 9777, 2137, 896, 930, 1106, 540, 14354, 6041, 282, 865, 798, 519, 9721, 267, 519, 32228, 2103, 267, 543, 519, 5840, 529, 282, 543, 865, 786, 519, 1715, 10215, 619, 267, 945, 5293, 513, 22275, 31558, 593, 519, 1641, 538, 476, 1960, 274, 563, 17812, 816, 1107, 12856, 6837, 2221, 22939, 2370, 942, 538, 4890, 18064, 3130, 269, 634, 9030, 960, 540, 6837, 568, 1382, 267, 7634, 267, 543, 14218, 1890, 3028, 269, 901, 568, 10630, 538, 519, 12233, 2497, 540, 6837, 269, 5637, 519, 5600, 543, 519, 14130, 723, 513, 1297, 540, 7463, 26639, 269, 1452, 26639, 616, 2417, 5258, 883, 1082, 1016, 1260, 2466, 21164, 269, 2368, 26639, 616, 8628, 543, 1866, 616, 4646, 585, 1808, 2152, 610, 24973, 1063, 519, 5600, 543, 519, 14130, 269, 634, 16126, 593, 513, 12233, 2497, 814, 1500, 6837, 11825, 976, 12665, 269, 634, 2243, 602, 14340, 689, 713, 4145, 519, 2110, 3259, 540, 2474, 543, 1651, 3518, 1890, 538, 6935, 547, 9111, 269, 22640, 7957, 832, 24826, 282, 13222, 2097, 909, 585, 9550, 1169, 1079, 1296, 269, 1717, 267, 547, 581, 606, 2500, 11285, 3340, 513, 17890, 942, 538, 5604, 269, 30557, 8758, 21164, 1107, 32719, 550, 26639, 609, 519, 1379, 547, 15974, 543, 2328, 9086, 602, 6227, 513, 1808, 1641, 8564, 8758, 21164, 1107, 570, 3637, 26639, 1305, 909, 547, 2232, 513, 1880, 3390, 17434, 9730, 1107, 589, 12233, 4646, 540, 2818, 689, 519, 5600, 543, 14130, 10985, 9730, 1107, 589, 4745, 12233, 2813, 547, 960, 856, 513, 14207, 593, 519, 8574, 540, 9086, 563, 283, 592, 12481, 2993, 285, 13070, 3472, 675, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 7343, 10187, 725, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30265, 539, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 289, 644, 1326, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 19733, 543, 4518, 4403, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 21328, 543, 25642, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 26296, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30025, 21637, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 31359, 10029, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 17220, 9534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 25938, 622, 8758, 21164, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 13070, 3472, 675, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 7343, 10187, 725, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 30265, 539, 7896, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 289, 21403, 267, 24184, 267, 12124, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 4467, 12692, 267, 3163, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 21328, 543, 7849, 8249, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 5319, 1444, 543, 5398, 3718, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 293, 12099, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 297, 644, 26547, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 4910, 1545, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 305, 2737, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 16631, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 15675, 11106, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 22102, 6355, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 18184, 1841, 540, 24722, 18430, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 9558, 1636, 566, 543, 24486, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 309, 2678, 753, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 310, 904, 543, 31283, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 20288, 793, 9534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 294, 21194, 16457, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 297, 644, 26547, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 10890, 267, 4065, 267, 8534, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 305, 2737, 543, 8556, 5928, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 15675, 11106, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 22102, 6355, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 309, 2678, 753, 16457, 21742, 2993, 20565, 592, 285, 17812, 816, 281, 12856, 910, 8758, 21164, 5600, 8758, 21164, 454, 20684, 4083, 281, 3465, 19409, 4208, 519, 13368, 619, 3442, 547, 723, 513, 7022, 3788, 1945, 540, 513, 9814, 269, 634, 8549, 626, 14430, 8774, 2370, 1769, 593, 519, 4128, 585, 513, 24164, 269, 8549, 626, 1948, 3583, 2073, 2854, 676, 12138, 16803, 267, 568, 519, 3622, 11855, 2707, 269, 634, 5518, 267, 2687, 547, 16803, 267, 1131, 723, 968, 21328, 538, 519, 15445, 1848, 901, 1648, 568, 28955, 538, 519, 7682, 4369, 540, 519, 7022, 267, 585, 7247, 606, 1367, 267, 711, 513, 14643, 267, 568, 2556, 538, 1931, 547, 1683, 9322, 543, 2656, 3664, 269, 16803, 4967, 602, 519, 24164, 568, 711, 513, 21257, 267, 1141, 513, 598, 2017, 2590, 14643, 267, 607, 538, 519, 2013, 540, 4789, 267, 568, 2556, 855, 711, 2141, 2500, 269, 16803, 849, 4967, 519, 2042, 609, 1533, 540, 1715, 3840, 779, 10324, 7936, 267, 513, 14643, 1062, 269, 667, 22844, 630, 1220, 273, 267, 476, 6924, 264, 4967, 602, 519, 17793, 1067, 779, 7620, 23163, 513, 811, 25931, 1062, 538, 799, 6837, 11221, 519, 10324, 855, 21787, 602, 519, 10324, 1131, 711, 581, 4830, 2614, 689, 6837, 269, 634, 21146, 2852, 1062, 729, 6074, 1317, 789, 2219, 519, 1528, 832, 540, 519, 5082, 7394, 5441, 267, 899, 519, 18211, 7095, 14130, 267, 1131, 3635, 929, 644, 550, 543, 4830, 10385, 538, 741, 16018, 269, 634, 1646, 540, 519, 5428, 1062, 538, 519, 2038, 476, 5197, 271, 338, 10032, 713, 2856, 267, 855, 519, 13368, 619, 1705, 711, 723, 519, 4324, 540, 12042, 338, 697, 269, 589, 12057, 776, 1062, 2488, 930, 3845, 1063, 519, 10324, 543, 519, 1004, 267, 855, 568, 811, 3759, 20160, 269, 634, 12722, 24164, 5280, 1020, 519, 7242, 602, 1152, 519, 5518, 5963, 22993, 519, 786, 540, 519, 1004, 267, 676, 1259, 540, 9550, 676, 968, 718, 519, 1004, 1848, 24641, 267, 519, 17793, 1067, 779, 8247, 4667, 547, 581, 602, 519, 23328, 1131, 18220, 519, 786, 540, 519, 1004, 610, 621, 1131, 886, 4310, 865, 602, 621, 1705, 711, 729, 711, 13671, 538, 513, 2582, 9872, 563, 20684, 4083, 281, 590, 30708, 476, 273, 1299, 476, 274, 281, 2037, 10179, 730, 25024, 540, 519, 5518, 2999, 592, 12481, 2993, 285, 763, 5518, 4927, 581, 2155, 6387, 538, 12751, 540, 519, 8136, 543, 13108, 540, 519, 2136, 2276, 267, 543, 540, 519, 631, 4106, 807, 540, 519, 1896, 2276, 267, 950, 1572, 883, 519, 4890, 6796, 540, 519, 2136, 2276, 282, 646, 949, 2154, 519, 32722, 267, 538, 1603, 267, 540, 519, 9030, 20229, 538, 1142, 540, 519, 10324, 3493, 25902, 267, 2390, 1022, 1641, 11341, 547, 519, 667, 583, 625, 540, 741, 9757, 5510, 1182, 267, 543, 646, 4927, 723, 1379, 547, 16827, 3115, 4471, 1407, 543, 623, 731, 976, 585, 5510, 5151, 1996, 519, 2136, 2276, 267, 4849, 538, 27418, 540, 1955, 701, 16670, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3891, 4927, 723, 5295, 267, 676, 543, 609, 519, 31876, 543, 3117, 550, 540, 519, 14130, 267, 547, 1118, 6164, 625, 267, 3177, 1079, 555, 8674, 540, 519, 7354, 2209, 1459, 598, 2017, 282, 543, 646, 4927, 9930, 3729, 267, 543, 676, 543, 609, 519, 31876, 543, 3117, 550, 540, 519, 14130, 267, 4927, 6966, 19264, 817, 611, 832, 267, 824, 1857, 3687, 8651, 543, 3117, 6160, 267, 7225, 2471, 540, 519, 18678, 7040, 267, 543, 782, 824, 12079, 619, 540, 519, 2136, 2276, 267, 4171, 2561, 2002, 906, 616, 711, 23954, 6382, 3177, 585, 267, 543, 799, 4927, 581, 3964, 676, 4521, 281, 855, 519, 6837, 949, 676, 4521, 22514, 519, 2561, 2002, 618, 540, 971, 17071, 12079, 619, 267, 607, 789, 1589, 1697, 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, 306, 4149, 10628, 23958, 3427, 540, 7025, 5525, 630, 425, 503, 502, 422, 366, 377, 423, 490, 478, 17432, 503, 424, 505, 494, 264, 4750, 540, 7025, 5525, 630, 425, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 264, 29030, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 11730, 476, 6860, 630, 3192, 278, 994, 17843, 2747, 540, 28820, 656, 8092, 268, 8196, 7827, 538, 519, 667, 1619, 569, 29740, 5346, 9351, 2433, 28820, 656, 8092, 7827, 24544, 538, 30209, 267, 8050, 476, 3192, 275, 268, 3192, 278, 454, 268, 13690, 267, 769, 454, 268, 17136, 11261, 454, 268, 10563, 482, 506, 424, 504, 372, 423, 490, 478, 17432, 503, 422, 369, 494, 29030, 503, 502, 422, 366, 377, 423, 490, 478, 17432, 503, 424, 505, 494, 454, 268, 29030, 503, 502, 422, 366, 377, 423, 483, 376, 424, 368, 507, 267, 5292, 269, 275, 3143, 269, 272, 267, 6032, 269, 476, 9262, 268, 1911, 454, 268, 23398, 2244, 14025, 28944, 616, 1419, 5340, 538, 4683, 2127, 585, 519, 3483, 21130, 7851, 267, 21130, 1239, 267, 5464, 2244, 14025, 1689, 267, 7598, 2244, 14025, 4566, 267, 865, 593, 269, 28820, 656, 2244, 267, 607, 835, 540, 6198, 2244, 14025, 6688, 267, 729, 711, 4481, 9286, 543, 6592, 538, 891, 6671, 2244, 14025, 2090, 269, 1717, 267, 1034, 2090, 3100, 547, 3274, 2697, 519, 1362, 540, 7477, 656, 2244, 1510, 9878, 3007, 547, 922, 4657, 3344, 269, 7905, 28331, 514, 15091, 602, 834, 1492, 3483, 540, 1362, 4328, 7477, 656, 2244, 568, 547, 3313, 922, 29839, 585, 1585, 3029, 540, 4683, 1646, 281, 585, 4853, 267, 10821, 267, 16351, 267, 543, 824, 5049, 540, 2244, 3096, 2668, 1656, 646, 2417, 5941, 1585, 2093, 540, 7477, 656, 268, 1633, 1353, 267, 855, 1510, 2469, 883, 1808, 7156, 540, 519, 6422, 3344, 540, 7477, 656, 268, 1633, 1689, 269, 24356, 1689, 540, 1646, 540, 7477, 656, 2244, 3340, 3280, 1702, 865, 607, 547, 1174, 519, 1184, 540, 7477, 656, 268, 1633, 7503, 883, 824, 2244, 3096, 269, 898, 568, 849, 6444, 602, 519, 6384, 540, 7477, 656, 2244, 616, 1256, 811, 1271, 267, 711, 1152, 538, 6935, 547, 4081, 1382, 855, 849, 547, 1118, 4443, 4683, 23923, 618, 4566, 543, 547, 4163, 873, 856, 6707, 563, 268, 28567, 538, 901, 30014, 281, 0, 278, 24342, 585, 834, 21776, 476, 6245, 276, 4840, 763, 12653, 1457, 540, 19291, 7937, 331, 454, 1103, 476, 6245, 276, 267, 3979, 1977, 23134, 17055, 3627, 19811, 8929, 543, 7166, 3043, 23134, 2875, 19291, 7937, 331, 269, 634, 7292, 569, 21678, 3377, 3795, 4478, 19811, 779, 4693, 14550, 7292, 13253, 1869, 1459, 593, 13464, 543, 538, 4884, 13977, 1296, 1310, 519, 1439, 540, 519, 6406, 2782, 563, 3725, 3164, 526, 594, 269, 654, 269, 700, 269, 18471, 29728, 454, 3725, 3164, 526, 594, 269, 654, 269, 700, 269, 18471, 29728, 267, 945, 13984, 519, 23134, 634, 1670, 12054, 2435, 538, 519, 476, 6245, 271, 338, 543, 4607, 513, 9457, 779, 4110, 689, 519, 5441, 540, 1715, 14948, 538, 476, 6245, 276, 267, 729, 835, 540, 23134, 779, 9998, 3979, 1977, 20021, 269, 1261, 949, 849, 723, 1044, 519, 1101, 543, 1152, 5449, 10553, 547, 10927, 689, 519, 2852, 563, 19365, 13177, 281, 23134, 779, 7831, 18763, 3979, 1977, 28941, 966, 754, 528, 454, 19365, 13177, 267, 513, 3109, 16724, 538, 23134, 538, 519, 1101, 3368, 540, 519, 476, 736, 628, 2540, 267, 729, 519, 3791, 543, 2063, 538, 513, 1899, 540, 4830, 3979, 1977, 21527, 945, 4421, 29295, 906, 547, 1053, 269, 634, 28215, 1053, 1031, 585, 13177, 630, 320, 7292, 1793, 584, 264, 10630, 519, 13680, 10168, 538, 23134, 729, 1869, 1360, 1454, 1459, 1282, 519, 2022, 31616, 5736, 267, 607, 538, 519, 2395, 540, 519, 1101, 13464, 29449, 267, 5449, 535, 1872, 1438, 10553, 6276, 19811, 9652, 563, 22832, 19811, 9652, 281, 634, 23134, 674, 1872, 1438, 32013, 454, 22832, 19811, 9652, 267, 513, 535, 1872, 1438, 10553, 15685, 1310, 606, 476, 7277, 274, 4693, 538, 23134, 267, 2968, 513, 7986, 4137, 538, 4884, 543, 593, 13464, 936, 519, 1576, 540, 1010, 1082, 5756, 2324, 693, 519, 5441, 540, 1715, 14948, 563, 22832, 15966, 9655, 543, 23134, 779, 3689, 21091, 4147, 7741, 454, 22832, 15966, 9655, 267, 23134, 779, 1605, 22770, 7022, 630, 5908, 279, 268, 6434, 1070, 15861, 3979, 1977, 10927, 1053, 883, 1010, 5049, 543, 9244, 22309, 8474, 543, 519, 28583, 2329, 1765, 935, 341, 11881, 602, 606, 13499, 3043, 7013, 1053, 11504, 519, 2852, 1310, 519, 6406, 2782, 563, 24961, 540, 715, 817, 879, 9335, 454, 24961, 540, 715, 817, 879, 9335, 538, 23134, 267, 1519, 476, 14695, 715, 817, 879, 9335, 267, 519, 2892, 3019, 3544, 540, 799, 2875, 19291, 7937, 331, 729, 8929, 538, 476, 6245, 276, 269, 0, 3528, 7812, 3171, 14852, 269, 18738, 270, 11073, 2515, 269, 11728, 267, 5181, 476, 866, 267, 476, 1708, 273, 454, 6624, 540, 721, 941, 6659, 609, 519, 2856, 602, 519, 2136, 2276, 814, 519, 1158, 779, 1655, 9111, 269, 1809, 602, 2070, 568, 711, 3838, 676, 3906, 602, 2965, 7584, 519, 1158, 779, 1629, 31097, 563, 1103, 922, 22640, 12039, 476, 1708, 271, 1867, 267, 519, 8859, 626, 779, 11106, 5149, 19486, 519, 772, 2529, 269, 607, 519, 476, 1839, 628, 1034, 11180, 4182, 269, 4595, 476, 1001, 277, 267, 789, 4076, 5116, 519, 772, 2529, 269, 538, 519, 968, 4148, 31090, 9111, 892, 7121, 267, 1310, 1629, 7627, 621, 689, 519, 968, 21459, 9111, 892, 1895, 585, 519, 1101, 942, 538, 476, 1001, 277, 563, 10527, 2475, 779, 2949, 2773, 568, 4371, 1394, 676, 513, 1297, 540, 12755, 5608, 2687, 547, 519, 1867, 267, 968, 10175, 5393, 1970, 2157, 540, 3972, 538, 5238, 543, 2797, 6105, 282, 968, 1372, 788, 14524, 538, 519, 8647, 540, 2229, 282, 2810, 6937, 547, 5191, 540, 4082, 282, 543, 513, 4110, 540, 6848, 26445, 602, 2306, 13618, 593, 1022, 3390, 3592, 7543, 547, 3035, 3034, 1103, 922, 476, 1708, 272, 5993, 15213, 538, 519, 2622, 1867, 267, 15213, 5600, 1107, 513, 2475, 2861, 1875, 17416, 630, 7474, 29377, 1382, 543, 14223, 593, 9111, 267, 2797, 5191, 267, 543, 1480, 2924, 264, 1107, 849, 19486, 519, 772, 2529, 269, 476, 1839, 628, 269, 968, 763, 11761, 540, 2475, 9111, 568, 7415, 267, 2523, 585, 513, 2197, 602, 814, 1279, 607, 18944, 547, 4196, 607, 513, 581, 13154, 540, 5191, 585, 519, 1158, 3034, 6097, 547, 15213, 5600, 267, 1614, 11972, 2042, 1404, 606, 16080, 1242, 1909, 538, 14944, 1456, 519, 1072, 540, 519, 1977, 2797, 1062, 281, 21376, 2126, 585, 1004, 540, 2681, 267, 519, 16789, 3310, 540, 2724, 538, 6214, 267, 543, 851, 16388, 26445, 543, 17119, 1143, 563, 1432, 827, 1934, 538, 13244, 3933, 3821, 888, 4131, 779, 1376, 609, 9111, 454, 763, 2262, 968, 12047, 7100, 892, 568, 6508, 689, 519, 5259, 2262, 2048, 12047, 758, 7806, 807, 8730, 799, 2501, 689, 1629, 657, 968, 15161, 892, 543, 737, 7806, 657, 968, 12741, 6100, 769, 824, 1913, 267, 968, 1492, 1004, 3180, 1379, 1848, 11933, 21154, 9111, 568, 513, 1390, 2856, 269, 1215, 547, 2259, 621, 3788, 513, 2713, 4603, 563, 2080, 538, 13244, 3933, 3821, 267, 649, 723, 18513, 12836, 1169, 1079, 1296, 607, 851, 540, 938, 2199, 9111, 269, 769, 1142, 540, 891, 12836, 267, 1585, 2199, 2516, 543, 3906, 1118, 11134, 23596, 906, 2443, 1271, 6786, 547, 17037, 827, 519, 5079, 1354, 873, 563, 15551, 305, 305, 23596, 618, 1184, 454, 3080, 540, 519, 27479, 532, 3906, 568, 15382, 305, 305, 1107, 13244, 3933, 15092, 585, 681, 550, 619, 7126, 269, 589, 2199, 29065, 1895, 267, 15382, 305, 305, 1101, 6896, 547, 3142, 10519, 1852, 547, 13244, 3933, 3821, 538, 476, 3192, 280, 3842, 519, 2199, 11036, 1184, 267, 1141, 4961, 1129, 4620, 1431, 547, 2322, 8908, 4031, 593, 519, 3440, 582, 585, 513, 1857, 8917, 269, 4595, 1287, 1247, 12180, 1472, 2146, 2152, 267, 15382, 305, 305, 814, 849, 1500, 23596, 906, 538, 2199, 12836, 267, 609, 922, 10639, 607, 513, 4557, 1218, 2924, 22299, 8876, 513, 2603, 540, 2597, 538, 513, 2749, 1141, 476, 273, 270, 274, 540, 7264, 616, 15646, 1562, 563, 3719, 2436, 610, 711, 835, 7028, 15382, 305, 305, 779, 4507, 543, 3760, 267, 972, 568, 1454, 547, 581, 29742, 539, 689, 922, 11134, 23596, 618, 1184, 563, 15551, 305, 305, 5063, 4371, 922, 1979, 268, 2335, 783, 23596, 618, 15007, 269, 2060, 13359, 22864, 1930, 547, 15382, 305, 305, 779, 2489, 15376, 267, 519, 15007, 1500, 23596, 906, 585, 2749, 14643, 267, 1153, 4604, 267, 2852, 4604, 543, 10519, 1852, 4604, 267, 607, 1134, 607, 585, 13244, 3933, 3821, 779, 13222, 585, 1533, 10198, 543, 10315, 28643, 269, 898, 568, 606, 8537, 2203, 950, 606, 3919, 779, 2489, 15376, 2306, 922, 23596, 618, 3664, 269, 1809, 1018, 28263, 519, 15382, 305, 305, 15007, 568, 1141, 519, 2370, 2048, 323, 685, 9111, 729, 2731, 8345, 563, 290, 663, 573, 919, 5275, 15382, 305, 305, 779, 23596, 618, 1590, 6445, 856, 606, 3573, 18102, 543, 7119, 538, 513, 11134, 24680, 5967, 267, 799, 568, 1930, 547, 519, 15382, 305, 305, 2489, 15376, 269, 634, 11042, 585, 2749, 14643, 10457, 941, 513, 3368, 5662, 1279, 267, 543, 12286, 5423, 2055, 689, 519, 15382, 305, 305, 6008, 1359, 9730, 543, 3606, 3283, 689, 1866, 11504, 519, 5967, 269, 634, 1394, 543, 8521, 538, 1346, 11042, 5795, 513, 1390, 2631, 540, 1141, 519, 10457, 941, 593, 1883, 2152, 7133, 938, 2146, 563, 1432, 952, 519, 3003, 2146, 1223, 723, 713, 1377, 540, 1344, 827, 519, 10457, 1354, 621, 888, 763, 15382, 305, 305, 18102, 543, 11134, 11042, 7044, 941, 3370, 593, 519, 15382, 305, 305, 3896, 630, 10059, 2517, 4178, 4732, 332, 31014, 3820, 270, 1708, 273, 23337, 31014, 2275, 663, 28371, 17942, 1613, 338, 270, 1070, 1500, 2139, 1354, 519, 15382, 305, 305, 15007, 267, 543, 2611, 593, 519, 15382, 305, 305, 3896, 2221, 269, 4208, 1281, 713, 2339, 286, 5221, 585, 2048, 1492, 1004, 685, 547, 723, 519, 1379, 267, 2048, 1492, 1004, 685, 991, 547, 581, 5483, 269, 1656, 538, 713, 2013, 267, 519, 3178, 540, 1344, 2139, 827, 519, 10457, 729, 3573, 563, 1103, 1034, 12836, 267, 519, 5354, 540, 1344, 602, 10301, 17037, 2501, 689, 519, 10457, 630, 528, 3906, 5885, 873, 264, 3842, 5859, 3332, 269, 23875, 4636, 609, 602, 1107, 922, 1434, 547, 1294, 1018, 10457, 630, 663, 741, 18793, 264, 1616, 547, 2161, 269, 1809, 971, 3332, 1869, 6140, 5161, 540, 2110, 3280, 17486, 543, 1793, 690, 2033, 1359, 563, 6546, 779, 1141, 519, 1857, 7706, 2501, 538, 2443, 543, 1857, 9489, 616, 2877, 547, 2327, 782, 616, 1732, 5483, 563, 1103, 519, 4013, 28056, 1344, 3391, 602, 4422, 856, 547, 782, 17037, 267, 2199, 13244, 3933, 3821, 18513, 10457, 723, 519, 4781, 540, 26446, 513, 476, 1220, 2048, 322, 663, 28371, 3948, 540, 8247, 8730, 538, 1312, 2296, 543, 5053, 1893, 8747, 269, 4595, 519, 6019, 540, 11968, 13353, 8255, 13244, 3933, 3821, 779, 12836, 267, 621, 5036, 519, 3902, 585, 891, 6898, 630, 22372, 2390, 741, 1378, 1942, 6051, 4700, 901, 1032, 519, 6019, 10997, 5111, 1269, 272, 267, 4968, 585, 2749, 14643, 543, 10519, 1852, 4604, 543, 1269, 272, 267, 4335, 585, 1153, 4604, 543, 2852, 4604, 563, 763, 4975, 540, 13244, 3933, 3821, 23297, 547, 13564, 1125, 891, 3790, 267, 865, 602, 782, 10457, 666, 723, 513, 476, 1220, 2262, 3948, 3370, 269, 2334, 779, 513, 1434, 3364, 267, 1317, 621, 5849, 602, 782, 17037, 786, 723, 693, 2547, 519, 1482, 5934, 15977, 540, 1344, 827, 782, 10457, 269, 1809, 540, 519, 476, 7597, 4872, 4171, 12836, 519, 6019, 786, 2196, 713, 5437, 267, 1152, 13244, 3933, 3821, 543, 4639, 21035, 723, 6074, 547, 7703, 713, 1942, 563, 4407, 593, 519, 13244, 3933, 3821, 4975, 7027, 8885, 538, 519, 3735, 476, 1960, 271, 338, 267, 594, 6707, 15469, 513, 8101, 2333, 538, 4975, 29552, 3795, 540, 3440, 582, 6709, 531, 1881, 10457, 269, 1306, 513, 1267, 585, 1082, 1296, 267, 11134, 6898, 593, 1585, 3584, 267, 2059, 609, 11042, 543, 15473, 630, 335, 22004, 676, 519, 4975, 540, 13244, 3933, 3821, 538, 14966, 609, 519, 13244, 3933, 3821, 13477, 540, 6468, 966, 582, 619, 264, 941, 13739, 593, 13244, 3933, 3821, 779, 4975, 29552, 585, 513, 3923, 1354, 519, 9550, 267, 543, 11540, 593, 13334, 563, 1607, 7641, 2861 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2663, 6410, 547, 15173, 15158, 543, 5245, 269, 3571, 7096, 1702, 540, 4457, 2528, 543, 1893, 4847, 1864, 547, 14377, 543, 5659, 3875, 25761, 5931, 267, 1519, 1346, 676, 13198, 2473, 684, 543, 1627, 1014, 11809, 784, 3333, 340, 269, 3958, 267, 1010, 1378, 12591, 267, 971, 607, 834, 763, 12280, 540, 30626, 31474, 257, 630, 3192, 278, 264, 543, 834, 24336, 1744, 27595, 257, 630, 3192, 275, 1070, 3177, 1651, 529, 633, 31886, 540, 4457, 6214, 543, 2486, 269, 3414, 1010, 14046, 18697, 543, 16994, 7422, 267, 27550, 1188, 332, 753, 2968, 606, 1271, 5639, 538, 5935, 2518, 11994, 540, 2413, 3624, 780, 8448, 1713, 4589, 1331, 1384, 272, 269, 13198, 2473, 684, 630, 6642, 272, 268, 4350, 277, 2567, 10705, 9833, 607, 519, 4651, 540, 2413, 4457, 3332, 267, 13198, 2473, 684, 10660, 1229, 519, 946, 540, 31546, 15066, 1893, 538, 2110, 2984, 543, 8214, 1194, 10296, 1514, 2152, 899, 22530, 819, 267, 22293, 267, 543, 13313, 563, 273, 269, 5487, 334, 2701, 630, 6245, 280, 268, 3422, 277, 2567, 19612, 585, 1010, 12667, 28402, 540, 19864, 781, 2539, 5049, 267, 5487, 334, 2701, 5206, 1093, 17257, 8941, 602, 9676, 519, 9759, 540, 4948, 1272, 896, 6385, 4657, 8739, 27791, 2175, 563, 274, 269, 661, 850, 523, 26284, 630, 4572, 271, 268, 1960, 276, 2567, 1306, 513, 4487, 540, 5626, 5708, 267, 26284, 8268, 4798, 540, 2648, 267, 3961, 267, 543, 13919, 538, 1200, 1568, 267, 1419, 10223, 519, 8082, 1063, 2245, 543, 29678, 563, 275, 269, 15651, 7102, 328, 630, 321, 269, 476, 4198, 275, 2567, 13876, 1242, 585, 1200, 5499, 9423, 2553, 543, 3309, 5396, 267, 15651, 7102, 328, 814, 1500, 8101, 7418, 547, 4207, 4457, 3332, 609, 9089, 543, 2110, 2984, 7567, 780, 14483, 12367, 543, 25684, 912, 17457, 4457, 2110, 2984, 3136, 547, 11457, 267, 10452, 5571, 14759, 1369, 4457, 2486, 269, 10765, 7835, 1331, 29293, 540, 4008, 543, 14920, 267, 2825, 9637, 267, 543, 3059, 2923, 781, 1764, 593, 3332, 269, 1280, 3236, 267, 2052, 2473, 826, 781, 8097, 6386, 4161, 30013, 3889, 543, 2243, 4641, 3294, 267, 1247, 20568, 595, 1460, 514, 781, 2257, 5708, 1568, 4497, 609, 6639, 7760, 543, 23019, 20304, 269, 5015, 267, 2228, 5867, 899, 4236, 327, 14241, 543, 1284, 756, 334, 7520, 519, 23425, 540, 2110, 2984, 267, 7175, 9962, 10333, 543, 5807, 5188, 1851, 3988, 543, 5830, 780, 1103, 3932, 267, 4974, 2413, 4457, 2110, 1650, 10070, 3091, 3407, 4030, 883, 3624, 781, 5339, 6561, 267, 10409, 10124, 267, 543, 1914, 19205, 8916, 269, 1635, 2502, 609, 1883, 5931, 267, 7421, 5339, 2553, 267, 543, 3695, 519, 2729, 543, 7506, 540, 7986, 4589, 267, 1053, 666, 15052, 741, 7071, 585, 4457, 3332, 543, 5660, 922, 11972, 10083, 538, 2221, 781, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 7216, 7689, 538, 1715, 590, 11659, 454, 303, 18824, 779, 3310, 593, 1250, 3646, 543, 17050, 3788, 3768, 574, 31944, 267, 543, 594, 993, 556, 1170, 5224, 519, 16434, 24744, 547, 1864, 538, 3624, 11595, 607, 519, 3312, 568, 12617, 538, 519, 21287, 540, 634, 3624, 9452, 3135, 563, 1765, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 454, 29394, 267, 3624, 11595, 454, 1556, 4864, 476, 1708, 272, 454, 268, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 267, 589, 5729, 1510, 24839, 267, 634, 3624, 9452, 4750, 267, 476, 1556, 4864, 476, 1001, 276, 454, 268, 1323, 3447, 730, 2494, 568, 3502, 513, 8000, 2443, 2201, 519, 2160, 267, 3624, 11595, 267, 4728, 476, 1001, 278, 454, 268, 634, 3624, 16869, 543, 634, 14210, 16710, 906, 2443, 654, 10248, 3624, 654, 10248, 630, 296, 1070, 3624, 11595, 267, 476, 276, 5130, 476, 1001, 279, 454, 268, 6348, 7721, 11962, 769, 27771, 687, 267, 769, 6665, 1043, 769, 330, 267, 2349, 1678, 9664, 2443, 654, 10248, 3624, 654, 10248, 630, 2862, 1070, 3624, 11595, 267, 476, 278, 5130, 476, 1001, 279, 454, 268, 717, 699, 332, 773, 681, 269, 645, 1301, 2946, 267, 2290, 1546, 1417, 2494, 267, 634, 1715, 3840, 5623, 540, 7734, 267, 476, 2764, 4873, 476, 1001, 279, 267, 2019, 269, 5038, 267, 1100, 269, 1556, 2443, 654, 10248, 3624, 654, 10248, 630, 18958, 9654, 994, 268, 2201, 1715, 590, 11659, 267, 4728, 476, 1220, 276, 8894, 268, 16497, 538, 1715, 590, 11659, 454, 268, 1715, 590, 11659, 808, 2714, 902, 454, 1103, 519, 4374, 3056, 909, 547, 519, 1101, 16683, 540, 24839, 27550, 1188, 332, 753, 685, 8429, 713, 4864, 267, 519, 8241, 10418, 593, 595, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17457, 4457, 10374, 9452, 26888, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 7489, 1315, 4457, 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, 18181, 1362, 256, 4653, 649, 616, 2469, 547, 1451, 827, 594, 1027, 21281, 5606, 16272, 543, 875, 789, 9305, 547, 9363, 2635, 269, 1411, 1522, 4898, 1018, 476, 5367, 7401, 814, 547, 798, 609, 1072, 267, 855, 3494, 621, 610, 711, 267, 28823, 707, 1378, 29225, 693, 1753, 666, 948, 596, 1174, 1271, 2035, 827, 11976, 267, 2123, 1436, 540, 2126, 267, 543, 1256, 2921, 1416, 540, 3054, 607, 596, 1332, 4587, 780, 5331, 713, 910, 950, 1004, 2911, 827, 11976, 267, 789, 2811, 6158, 827, 782, 519, 7592, 602, 616, 5293, 1524, 689, 3237, 547, 741, 1453, 998, 5027, 269, 6884, 891, 6090, 4163, 1344, 827, 1761, 1072, 2152, 899, 2295, 2042, 269, 3767, 267, 4952, 952, 7189, 1223, 1413, 883, 707, 4719, 17539, 547, 1294, 952, 972, 729, 1022, 1981, 540, 3478, 1346, 3676, 1354, 789, 2968, 3978, 269, 2334, 1259, 267, 789, 1223, 2285, 596, 2027, 5796, 543, 3007, 547, 1832, 596, 4743, 1434, 2429, 707, 1272, 2439, 1103, 519, 1158, 540, 1426, 543, 10425, 267, 649, 1289, 1620, 543, 1210, 5820, 1759, 593, 1367, 7375, 834, 26051, 1242, 5986, 1701, 898, 1797, 23115, 856, 799, 10366, 960, 1655, 585, 1142, 1268, 865, 3025, 21593, 741, 7594, 269, 1879, 2870, 476, 5367, 7401, 1102, 16272, 267, 649, 1205, 547, 4603, 609, 1114, 10659, 540, 5613, 267, 5810, 267, 14546, 267, 543, 824, 2067, 21187, 269, 1635, 3257, 713, 267, 649, 1711, 2189, 24025, 602, 8597, 4481, 547, 938, 6492, 19512, 1247, 3450, 721, 3407, 4245, 827, 10531, 3782, 780, 4131, 781, 4685, 4514, 883, 519, 1184, 540, 13167, 606, 594, 1027, 21281, 5606, 4288, 1927, 1384, 272, 269, 7994, 2659, 12476, 281, 3807, 899, 2348, 513, 2178, 5748, 2337, 1628, 513, 4396, 2777, 267, 4358, 1055, 609, 513, 8949, 3490, 7401, 5036, 909, 707, 476, 5367, 7401, 30376, 585, 1967, 269, 2368, 2442, 3681, 616, 3109, 267, 3039, 267, 3043, 267, 610, 522, 565, 784, 7401, 3762, 269, 3962, 835, 6770, 922, 1378, 3982, 8137, 9043, 267, 3850, 596, 547, 3442, 1945, 12050, 610, 11029, 4470, 593, 945, 786, 4235, 621, 630, 528, 6148, 2119, 873, 782, 256, 6393, 273, 269, 17292, 2659, 17186, 268, 11900, 281, 29759, 267, 5388, 267, 17580, 5810, 267, 543, 1585, 4005, 902, 666, 2981, 10750, 7401, 883, 1945, 9058, 269, 1280, 1383, 267, 4946, 21100, 540, 11993, 267, 10538, 267, 610, 29475, 5932, 513, 24253, 4832, 1521, 269, 2107, 3575, 538, 930, 4195, 20511, 3762, 610, 32175, 24968, 585, 513, 22196, 30148, 1714, 1460, 597, 269, 2142, 3860, 609, 707, 5079, 282, 3314, 1107, 713, 568, 22400, 10531, 11100, 2439, 274, 269, 6008, 788, 1656, 15346, 13560, 281, 4495, 596, 723, 4956, 593, 707, 4999, 267, 14869, 707, 598, 1723, 794, 2687, 547, 519, 5227, 942, 585, 519, 1826, 540, 7401, 596, 8359, 269, 30850, 267, 1577, 621, 3579, 1524, 4625, 1354, 7674, 936, 4672, 269, 17949, 519, 17175, 1623, 21620, 540, 10366, 16802, 532, 538, 1169, 521, 760, 2439, 3086, 1589, 1394, 547, 938, 4901, 827, 11976, 543, 10531, 4915, 269, 1403, 2576, 6487, 789, 949, 581, 12155, 547, 1978, 10108, 1813, 547, 15110, 2188, 267, 1287, 6704, 1808, 2010, 540, 476, 5367, 7401, 1102, 16272, 1223, 5732, 3565, 547, 4509, 741, 2949, 8171, 269, 1358, 2161, 6604, 568, 1732, 982, 10826, 267, 1318, 286, 1924, 1946, 711, 1376, 3695, 2081, 547, 3251, 2635, 676, 3843, 1007, 10346, 3358, 547, 9290, 707, 16919, 2496, 2026, 649, 2085, 267, 2523, 1282, 18273, 267, 2242, 2049, 1312, 9308, 543, 15508, 269, 18227, 3950, 540, 891, 7835, 2636, 721, 547, 3082, 9935, 543, 2226, 3666, 1369, 6000, 269, 25530, 476, 5367, 7401, 1102, 16272, 5781, 2488, 20697, 1898, 585, 2208, 543, 7028, 2318, 2790, 1072, 1932, 269, 1306, 606, 3773, 22429, 267, 8600, 891, 16098, 7512, 11009, 543, 9639, 1107, 1079, 2629, 1983, 2556, 585, 10188, 1272, 6707, 780, 3383, 979, 6619, 267, 5531, 2828, 543, 1920, 2818, 1472, 267, 543, 2671, 2984, 1247, 11981, 707, 19471, 594, 1027, 21281, 5606, 16272, 269, 5457, 267, 1620, 543, 19825, 3604, 1063, 2043, 533, 2314, 519, 2619, 2509, 13784, 543, 8296, 269, 4258, 619, 547, 1434, 1072, 267, 1582, 22523, 267, 543, 11995, 1187, 6901, 538, 519, 10051, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 6313, 513, 1268, 779, 22420, 4412, 3748, 547, 2295, 1966, 538, 1840, 547, 2417, 3467, 5532, 7965, 267, 4387, 666, 8415, 2965, 1360, 2038, 5574, 2059, 609, 2417, 3467, 16419, 3797, 2409, 269, 901, 4640, 711, 1175, 24024, 519, 3463, 540, 28491, 2621, 2705, 2417, 3467, 6990, 2295, 1072, 543, 9716, 1818, 946, 540, 6098, 4480, 540, 2713, 4388, 563, 4322, 575, 714, 21573, 5351, 538, 3168, 1310, 8101, 9424, 540, 2564, 2059, 609, 22420, 1344, 267, 7175, 513, 1390, 4308, 513, 2603, 811, 4977, 9193, 540, 3797, 1439, 2164, 269, 634, 16369, 540, 4207, 13120, 10607, 519, 16252, 540, 4998, 3797, 2409, 267, 3384, 18334, 12115, 902, 538, 1840, 547, 849, 5818, 539, 7082, 2347, 9547, 563, 763, 4473, 538, 9972, 7218, 588, 637, 521, 7621, 26338, 617, 821, 5489, 2135, 4540, 3797, 5943, 267, 3132, 513, 2603, 3476, 7996, 2053, 538, 1840, 547, 8101, 2959, 269, 6481, 1416, 4485, 2154, 547, 1331, 711, 8806, 2168, 1072, 543, 9716, 2705, 538, 1840, 2790, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 1027, 21281, 5606, 16272, 257, 607, 851, 540, 834, 23733, 1315, 30094, 1137, 1315, 24334, 1299, 21281, 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, 4985, 1384, 1103, 2221, 781, 1950, 543, 10562, 1158, 267, 5883, 707, 942, 3927, 814, 1831, 811, 1271, 982, 2479, 1354, 269, 901, 568, 2523, 3020, 585, 1762, 4079, 945, 1590, 3666, 2789, 9021, 971, 607, 1153, 1740, 267, 29599, 2238, 267, 1514, 1272, 267, 543, 2123, 9716, 269, 634, 2702, 547, 4383, 942, 20617, 666, 723, 513, 1713, 1764, 593, 1585, 3344, 540, 707, 1272, 267, 1519, 4081, 2773, 267, 2790, 1072, 267, 543, 2949, 1967, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 942, 2359, 543, 3922, 1436, 267, 5373, 2390, 519, 1383, 540, 9031, 781, 2189, 942, 1062, 547, 9414, 1883, 3741, 543, 2994, 780, 4089, 476, 272, 281, 4197, 5384, 5004, 543, 26875, 1436, 692, 4263, 922, 4295, 267, 942, 2359, 3322, 4058, 543, 16706, 6857, 1852, 540, 942, 6170, 593, 1808, 2238, 547, 2333, 7145, 267, 4398, 267, 543, 7607, 269, 898, 849, 3340, 4259, 14422, 1759, 593, 2418, 267, 3853, 267, 543, 21852, 269, 1635, 1565, 547, 4383 ]

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

[ 1626, 264, 1341, 476, 273, 317, 8987, 1704, 4297, 270, 276, 568, 5231, 1496, 258, 21529, 316, 476, 5400, 4239, 476, 1001, 278, 267, 476, 6187, 281, 6246, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1109, 5231, 8921, 476, 1109, 314, 476, 2420, 9708, 476, 6540, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]

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

[ 263, 476, 279, 268, 280, 32162, 1668, 11878, 1916, 2252, 596, 1616, 621, 3728, 1287, 4584, 519, 8184, 543, 8038, 269, 1703, 568, 835, 8184, 1142, 1554, 689, 22186, 332, 663, 340, 547, 13225, 611, 1905, 584, 269, 898, 3217, 1472, 476, 272, 32162, 547, 3914, 13225, 611, 1905, 584, 563, 8110, 2739, 942, 547, 979, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 763, 1655, 942, 547, 7552, 713, 31939, 568, 11354, 630, 18550, 267, 4989, 267, 2904, 264, 543, 4201, 4379, 630, 20826, 267, 5239, 267, 5437, 1040, 4438, 891, 2053, 267, 519, 4365, 543, 2837, 786, 3870, 707, 2427, 269, 1411, 666, 13248, 4064, 543, 12271, 883, 519, 694, 1066, 640, 540, 713, 1747, 269, 24641, 267, 15604, 543, 3933, 22792, 732, 711, 519, 15028, 12405, 547, 31939, 538, 1022, 540, 3490, 3786, 31939, 538, 18310, 269, 634, 2898, 942, 11507, 616, 4904, 609, 6777, 543, 31868, 2044, 4672, 563, 306, 7428, 263, 4728, 268, 17623, 2904, 994, 306, 7428, 568, 519, 1034, 5078, 942, 538, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 547, 979, 31939, 6362, 267, 607, 519, 4365, 568, 2312, 543, 519, 2070, 568, 3834, 2254, 545, 269, 1306, 922, 8445, 4005, 519, 8905, 666, 1205, 811, 22125, 982, 2479, 585, 31939, 6362, 269, 1403, 596, 14406, 519, 4201, 4379, 713, 568, 519, 1152, 3903, 602, 596, 723, 2451, 563, 8505, 4379, 263, 5181, 268, 5412, 994, 5194, 1655, 1974, 547, 3643, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 568, 1063, 3735, 4149, 324, 4697, 543, 4571, 268, 20103, 269, 634, 4365, 1282, 4201, 4379, 568, 811, 7123, 543, 2312, 3850, 29271, 5784, 269, 1411, 786, 2972, 3043, 22800, 10239, 2630, 519, 2312, 4544, 6607, 269, 898, 779, 606, 4244, 585, 7508, 856, 593, 519, 11354, 4005, 563, 303, 1069, 1080, 2838, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 307, 516, 330, 24329, 723, 547, 3489, 513, 31939, 6362, 11863, 689, 18310, 21094, 8274, 547, 3643, 918, 6195, 269, 1358, 849, 991, 547, 6718, 513, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 630, 918, 290, 4338, 1040, 1703, 616, 930, 3652, 547, 581, 4553, 676, 1169, 21233, 912, 268, 9701, 581, 538, 513, 1895, 263, 693, 2547, 476, 273, 1004, 994, 268, 9701, 581, 10483, 676, 513, 13931, 3391, 454, 268, 9701, 16926, 513, 2199, 31939, 6362, 8116, 547, 1205, 31939, 11863, 454, 298, 4545, 1156, 329, 2426, 320, 3148, 568, 513, 11658, 1858, 602, 2115, 513, 11863, 585, 9683, 269, 634, 1942, 540, 513, 11863, 585, 11658, 2127, 568, 20430, 476, 1015, 829, 533, 1314, 829, 3018, 269, 6271, 568, 519, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 263, 298, 290, 4338, 264, 28428, 281, 715, 11965, 476, 1220, 271, 829, 533, 1314, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 30991, 454, 2005, 779, 835, 540, 519, 13074, 1726, 802, 538, 18310, 267, 8151, 689, 476, 736, 268, 2918, 2395, 547, 2347, 7868, 2951, 8653, 666, 581, 27571, 676, 7446, 28296, 936, 4155, 339, 8692, 269, 8409, 945, 1616, 547, 13236, 538, 2470, 585, 513, 1247, 713, 568, 519, 1655, 4308, 585, 873, 269, 1411, 786, 849, 1205, 547, 2263, 1034, 540, 18310, 538, 835, 2582, 31939, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 898, 10719, 776, 454, 763, 2630, 7396, 568, 621, 10719, 776, 585, 707, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 31939, 1759, 2390, 519, 8653, 540, 476, 2190, 2395, 269, 898, 779, 519, 20125, 1259, 2009, 547, 2347, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 563, 21196, 476, 4905, 281, 27336, 2526, 538, 22186, 332, 663, 340, 543, 4483, 547, 519, 15678, 269, 630, 15793, 276, 332, 994, 21196, 476, 6349, 281, 22186, 332, 663, 340, 8289, 572, 4370, 543, 31939, 6362, 11863, 7041, 454, 21196, 476, 6734, 281, 26850, 547, 13225, 611, 1905, 584, 543, 5397, 547, 7629, 600, 454, 21196, 476, 6860, 281, 20000, 547, 2672, 8208, 541, 543, 31939, 547, 700, 531, 16554, 1046, 320, 630, 26297, 271, 332, 994, 21196, 476, 4962, 281, 7066, 330, 547, 918, 515, 572, 11445, 630, 18891, 271, 332, 8094, 21196, 476, 6187, 281, 7066, 330, 547, 631, 600, 1678, 515, 630, 9965, 276, 332, 8094, 21196, 476, 5881, 281, 7066, 330, 547, 26232, 874, 644, 514, 630, 21172, 271, 332, 8094, 21196, 476, 5400, 281, 7066, 330, 547, 32202, 784, 630, 4968, 271, 332, 8094, 21196, 476, 6021, 281, 7066, 330, 547, 4258, 1090, 630, 4343, 278, 271, 332, 8094, 21196, 476, 1015, 281, 3600, 743, 574, 26494, 1554, 693, 4258, 1090, 630, 4343, 278, 271, 332, 8094, 21196, 476, 1556, 281, 7066, 330, 547, 10548, 5995, 630, 3393, 279, 271, 332, 8094, 21196, 476, 1321, 281, 7066, 330, 547, 962, 531, 2426, 3490, 3786, 543, 31939, 1394, 547, 4258, 1090, 630, 14596, 271, 332, 8094, 21196, 476, 1724, 281, 7066, 330, 547, 1530, 548, 5487, 630, 275, 3066, 271, 332, 8094, 21196, 476, 1691, 281, 7066, 330, 547, 13850, 12584, 320, 630, 3374, 280, 276, 332, 8094, 21196, 476, 1428, 281, 7066, 330, 547, 10609, 3711, 659, 1156, 630, 28147, 271, 332, 8094, 21196, 476, 1626, 281, 7066, 330, 547, 700, 327, 517, 752, 630, 275, 4281, 271, 332, 8094, 21196, 476, 1704, 281, 7066, 330, 547, 13850, 12584, 320, 630, 31003, 276, 332, 8094, 21196, 476, 1240, 281, 7066, 330, 547, 2549, 329, 3342, 320, 630, 15996, 279, 332, 8094, 21196, 476, 866, 281, 7066, 330, 547, 932, 597, 11445, 630, 14096, 271, 332, 8094, 21196, 476, 736, 281, 7066, 330, 547, 1912, 584, 3518, 340, 630, 14028, 271, 332, 8094, 21196, 476, 2641, 281, 7066, 330, 547, 2672, 8208, 541, 454, 21196, 476, 2420, 281, 20000, 1394, 547, 13225, 611, 1905, 584, 454, 21196, 476, 2537, 281, 26850, 1394, 547, 22186, 332, 663, 340, 454, 21196, 476, 2190, 281, 3493, 691, 675, 1554, 454, 13425, 4289, 585, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 2080, 616, 930, 1271, 1919, 711, 547, 4413, 856, 593, 519, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 912, 268, 1849, 582, 1127, 543, 14272, 18875, 454, 268, 7066, 330, 6362, 4425, 1824, 454, 268, 24953, 6215, 26802, 454, 268, 23225, 8424, 540, 6418, 31273, 454, 268, 18307, 324, 576, 10793, 564, 454, 268, 24953, 11058, 602, 6227, 707, 10772, 454, 268, 4826, 16513, 10793, 564, 454, 268, 570, 9317, 619, 543, 570, 6879, 16630, 454, 268, 12619, 532, 20045, 543, 570, 550, 454, 268, 7066, 330, 6362, 2717, 525, 454, 268, 24953, 3794, 7174, 454, 268, 5842, 3202, 13845, 9469, 454, 268, 590, 2426, 28904, 267, 23290, 2775, 543, 1216, 11480, 454, 268, 23448, 6292, 540, 13310, 14296, 952, 596, 616, 14850, 1051, 659, 1194, 454, 268, 3689, 22707, 14173, 454, 268, 16816, 3363, 19210, 1107, 18924, 2135, 543, 11955, 1107, 10361, 5995, 267, 853, 6729, 5995, 454, 268, 4826, 22729, 14342, 454, 268, 11846, 4585, 454, 268, 2405, 658, 6539, 454, 3719, 519, 30304, 666, 4268, 4470, 593, 1141, 267, 1141, 267, 543, 875, 596, 3442, 547, 979, 593, 513, 31939, 269, 1403, 519, 4365, 568, 1932, 4411, 596, 2461, 4440, 9849, 5230, 9660, 269, 1924, 267, 763, 21617, 519, 2837, 267, 519, 18219, 519, 9126, 786, 581, 563, 11795, 22187, 1377, 593, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 568, 835, 540, 519, 5207, 15820, 1726, 802, 538, 519, 1158, 269, 1411, 723, 547, 3802, 585, 1896, 2395, 538, 513, 1164, 15820, 3148, 269, 29303, 693, 971, 4463, 5781, 666, 2014, 596, 7244, 2042, 269, 1411, 786, 991, 1434, 1072, 267, 1164, 8516, 543, 6378, 8990, 547, 3035, 519, 3952, 269, 898, 779, 711, 602, 2352, 952, 596, 1246, 930, 4808, 543, 269, 589, 2635, 1367, 666, 3362, 1118, 621, 547, 3490, 3786, 269, 16816, 3363, 590, 32169, 543, 1133, 335, 9438, 762, 2916, 666, 8373, 922, 8436, 3006, 269, 1809, 952, 596, 1616, 547, 2490, 707, 3337, 267, 596, 786, 15983, 1265, 602, 1689, 1310, 519, 31939, 563, 21798, 540, 918, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 454, 763, 1942, 666, 4268, 689, 20430, 476, 1220, 271, 1107, 20430, 476, 12573, 271, 4470, 2390, 31939, 6362, 8041, 685, 1942, 2497, 269, 8779, 2882, 9276, 899, 6283, 267, 22098, 267, 1426, 267, 3391, 543, 849, 519, 1942, 540, 18983, 527, 543, 918, 4545, 1156, 329, 2426, 320, 11094, 9351, 18983, 527, 263, 298, 290, 4338, 1040, 1411, 786, 991, 606, 3063, 9126, 540, 2724, 952, 596, 616, 513, 6300, 1695, 4301, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 6452, 7951, 566, 454, 298, 4545, 1156, 329, 2426, 320, 814, 930, 5214, 751, 1695, 11817, 543, 15805, 554, 7491, 585, 22098, 2059, 519, 8905, 269, 1452, 4025, 786, 711, 4313, 596, 899, 519, 3818, 3613, 541, 20730, 855, 789, 786, 1683, 596, 519, 1655, 7484, 540, 7401, 543, 10875, 2070, 269, 4438, 3781, 267, 596, 666, 849, 1293, 952, 596, 1616, 547, 269, 7937, 1018, 513, 3781, 602, 786, 581, 267, 7654, 519, 1655, 3781, 540, 707, 1272, 563, 298, 4545, 1156, 329, 2426, 320, 12476, 8805, 7066, 330, 5253, 454, 763, 1426, 596, 786, 581, 4189, 538, 918, 4545, 1156, 329, 2426, 320, 568, 2199, 267, 2241, 543, 1034, 540, 782, 5214, 269, 1306, 621, 779, 513, 1447, 10272, 31939, 6362, 5544, 865, 596, 949, 711, 1265, 1426, 607, 538, 824, 2442, 31939, 6362, 4609, 269, 634, 3536, 616, 11273, 609, 4195, 5820, 4947, 1318, 689, 519, 2361, 269, 1411, 666, 1175, 1205, 4503, 538, 519, 9329, 540, 1426, 269, 30766, 2812, 543, 19676, 543, 8216, 30653, 616, 519, 1034, 1455, 1426, 596, 786, 1205, 6039, 972, 269, 1411, 666, 849, 1205, 631, 6865, 302, 267, 12815, 320, 267, 543, 5839, 16336, 328, 855, 538, 1360, 1906, 4025, 1152, 563, 2791, 666, 849, 3142, 16152, 267, 10217, 13063, 267, 543, 10425, 609, 596, 952, 1152, 596, 723, 2614, 2230, 2451, 538, 707, 9126, 269, 0, 763, 7642, 10356, 2933, 1927, 538, 741, 4872, 2429, 782, 519, 16899, 540, 519, 4622, 13259, 553, 21838, 639, 267, 547, 2482, 1688, 593, 971, 607, 8179, 741, 10413, 281, 543, 1100, 812, 1223, 16641, 873, 282, 585, 519, 4250, 540, 873, 8593, 593, 782, 1004, 563, 297, 2794, 547, 281, 4446, 5886, 3040, 645, 21672, 3040, 19739, 3040, 11062, 3040, 22548, 651, 3040, 11023, 2421, 3040, 11875, 545, 2714, 3040, 1401, 1842, 3218, 781, 3040, 5890, 667, 551, 3040, 717, 2801, 2041, 548, 514, 3040, 717, 306, 289, 3040, 28711, 3040, 22630, 3040, 15917, 323, 1442, 3040, 670, 770, 902, 3040, 13067, 850, 9455, 3040, 808, 293, 289, 3040, 918, 291, 3040, 23765, 3040, 918, 297, 307, 3040, 700, 1052, 3040, 5839, 299, 13873, 3040, 631, 18449, 3040, 631, 18449, 310, 3040, 26436, 3040, 7313, 1961, 3040, 17240, 335, 527, 3040, 590, 1069, 517, 3040, 590, 4596, 3040, 570, 307, 289, 3040, 654, 2464, 3040, 570, 306, 298, 454, 13052, 303, 5308, 3951, 12088, 630, 2894, 21923, 23360, 19739, 25770, 264, 2414, 2482, 1688, 593, 971, 607, 8179, 741, 10413, 23102, 1692, 2484, 519, 7642, 19500, 2687, 547, 519, 7453, 4484, 540, 519, 1196, 1112, 267, 543, 968, 6365, 585, 741, 2729, 892, 1152, 950, 16091, 267, 568, 5310, 547, 581, 6065, 1540, 269, 1358, 1185, 593, 741, 2427, 782, 519, 10324, 540, 519, 10504, 630, 15307, 615, 476, 280, 281, 274, 1070, 543, 10423, 569, 547, 782, 703, 757, 543, 5301, 519, 2034, 1196, 1112, 729, 2808, 12303, 547, 4735, 531, 519, 1101, 269, 634, 7642, 267, 4061, 267, 1373, 538, 12797, 693, 7040, 267, 543, 267, 607, 729, 711, 796, 11499, 1310, 741, 15372, 267, 1373, 1631, 2407, 540, 967, 793, 566, 543, 642, 3188, 766, 267, 941, 4440, 17251, 547, 946, 741, 3255, 1247, 789, 1185, 519, 4960, 269, 1403, 865, 267, 945, 1223, 1843, 865, 1279, 607, 789, 1705, 4986, 1996, 519, 8128, 286, 543, 789, 267, 649, 723, 2938, 267, 941, 593, 741, 2427, 269, 2334, 789, 1705, 1118, 513, 26481, 946, 540, 741, 4316, 568, 3254, 5693, 676, 6480, 615, 476, 280, 281, 1626, 9950, 560, 615, 476, 280, 281, 273, 269, 634, 7642, 10356, 2933, 1927, 538, 741, 4872, 2443, 1955, 321, 617, 1221, 543, 11542, 2390, 741, 20237 ]

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

[ 345, 17624, 815, 521, 17624, 1341, 1775, 315, 23169, 17624, 2330, 2982, 692, 17961, 9387, 15857, 1422, 842, 3709, 299, 9078, 348, 1422, 2765, 18097, 345, 9078, 2410, 345, 17624, 317, 273, 910, 1990, 9078, 317, 273, 348, 17851, 1422, 2765, 346, 272, 2410, 273, 345, 17624, 4153, 3847, 263, 1422, 8421, 18750, 17624, 1341, 476, 272, 1341, 1775, 315, 23169, 9078, 264, 910, 1422, 8421, 18750, 17624, 1341, 1775, 315, 23169, 9078, 264, 910, 1422, 8421, 18750, 17624, 910, 476, 272, 910, 1775, 315, 23169, 9078, 264, 1341, 1422, 8421, 18750, 17624, 910, 1775, 315, 23169, 9078, 264, 1422, 2431, 264, 8607, 1299, 315, 343, 21375, 24560, 11355, 3189, 23169, 348, 1422, 1729, 476, 271, 316, 24001, 1422, 2765, 346, 272, 2410, 273, 338, 17624, 4153, 3847, 263, 1422, 8421, 13375, 7268, 2765, 346, 272, 1341, 521, 17624, 2410, 272, 910, 521, 17624, 348, 1422, 2431, 264, 1341, 1775, 19570, 315, 28072, 4067, 346, 338, 793, 12917, 331, 10275, 264, 1422, 2431, 264, 1422, 754, 9387, 265, 10926, 303, 1663, 21794, 713, 1394, 10484, 17961, 9387, 15857, 1422, 24837, 346, 296, 12917, 332, 19885, 264, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 2765, 3189, 7032, 2410, 273, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 332, 348, 1422, 842, 3709, 271, 8703, 272, 348, 521, 3867, 333, 268, 273, 348, 1422, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 910, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 330, 268, 272, 4153, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 333, 10275, 348, 22773, 546, 338, 8607, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 28072, 4067, 346, 3412, 348, 1422, 842, 3709, 271, 8703, 272, 348, 521, 3867, 333, 268, 273, 348, 1422, 3847, 263, 1422, 28072, 4067, 346, 691, 534, 327, 12917, 338, 264, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 332, 348, 22773, 546, 338, 8607, 17851, 11196, 272, 8203, 3189, 2765, 31551, 5991, 2410, 273, 3686, 1422, 28072, 4067, 346, 3412, 348, 1422, 842, 3709, 271, 23685, 13727, 348, 1422, 2765, 3189, 7562, 327, 3867, 333, 268, 273, 348, 1535, 7346, 6523, 327, 18898, 1535, 348, 1422, 3847, 263, 1535, 1341, 1422, 2765, 346, 328, 19570, 2410, 273, 348, 1422, 2431, 22722, 332, 348, 22773, 15848, 267, 1422, 754, 9387, 265, 10926, 1260, 921, 1154, 519, 6169, 780, 2026, 3593, 3445, 274, 7597, 3085, 1405, 723, 519, 942, 15151, 594, 2219, 594, 1065, 525, 550, 1250, 1378, 3070, 12799, 585, 1346, 5461, 780, 28275, 609, 1422, 8218, 9387, 348, 1422, 842, 3709, 10559, 7032, 270, 273, 23685, 7032, 270, 273, 348, 1422, 2765, 12757, 18898, 1422, 3847, 7268, 6523, 1535, 9368, 22722, 333, 268, 273, 24828, 3847, 7268, 7562, 1535, 9368, 8203, 333, 348, 22773, 11513, 3944, 546, 26507, 1299, 315, 23637, 7758, 26635, 284, 273, 343, 2410, 284, 348, 476, 273, 13064, 333, 266, 272, 348, 22773, 1775, 18898, 1422, 842, 3709, 10559, 7032, 23685, 7032, 348, 586, 18898, 22773, 552, 13064, 12011, 348, 22773, 1422, 2765, 3189, 3847, 263, 272, 266, 324, 13064, 12011, 4153, 2431, 22722, 333, 268, 273, 24828, 3847, 263, 272, 3887, 13064, 12011, 4153, 2431, 8203, 333, 348, 22773, 11513, 3944, 546, 348, 344, 8607, 1299, 315, 23637, 7758, 346, 345, 284, 324, 3867, 12011, 12453, 284, 348, 910, 328, 22773, 476, 273, 13064, 333, 266, 272, 348, 1422, 842, 29192, 24472, 1422, 3847, 7268, 8421, 1990, 9368, 8203, 333, 22773, 1422, 2765, 18950, 345, 266, 272, 22722, 333, 268, 273, 12453, 263, 345, 268, 272, 8203, 333, 348, 22773, 11513, 3944, 546, 348, 345, 1422, 754, 9387, 348, 1141, 6695, 24472, 2330, 568, 519, 1770, 5858, 538, 2318, 4287, 269, 634, 2076, 8681, 568, 2868, 14521, 1055, 519, 2942, 1483, 1899, 543, 519, 26048, 666, 581, 632, 11526, 547, 1152, 11700, 846, 519, 2759, 3230, 15631, 272, 267, 271, 316, 29634, 10190, 1422, 8218, 9387, 348, 17851, 328, 22773, 476, 273, 13064, 333, 266, 272, 348, 11196, 272, 8203, 333, 1422, 842, 318, 271, 317, 272, 1422, 2765, 18950, 272, 22271, 22722, 333, 268, 273, 12453, 263, 272, 266, 345, 8203, 333, 348, 22773, 1422, 3847, 28381, 1422, 3847, 7268, 8421, 1990, 1341, 1775, 19570, 9368, 8203, 333, 910, 1422, 3847, 7268, 8421, 1990, 910, 1775, 19570, 9368, 8203, 333, 1422, 2431, 315, 348, 11513, 3944, 546, 348, 345, 8607, 17851, 273, 13064, 333, 266, 273, 348, 11196, 272, 22722, 333, 266, 272, 348, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 8218, 32413, 348, 562, 8607, 737, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 910, 333, 8607, 7117, 1422, 754, 32413, 348, 11196, 272, 8203, 335, 1422, 7032, 3867, 333, 10275, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 12917, 333, 10275, 9385, 2431, 264, 8607, 1299, 315, 29911, 1422, 9392, 1422, 842, 318, 271, 317, 272, 1990, 3867, 335, 266, 336, 348, 22773, 1422, 3847, 263, 1422, 8421, 1990, 1422, 2431, 8203, 330, 22773, 11513, 3944, 546, 348, 345, 1422, 754, 9387, 348, 543, 1210, 519, 1079, 12596, 1422, 8218, 9387, 348, 1422, 842, 318, 271, 317, 272, 1535, 18898, 22773, 1422, 3847, 7268, 8421, 1535, 9368, 8203, 332, 22773, 11513, 3944, 546, 26507, 17851, 1422, 2765, 346, 8987, 272, 8203, 332, 22773, 544, 256, 2410, 263, 333, 266, 272, 22722, 332, 266, 272, 3686, 1422, 32002, 346, 272, 348, 8607, 1422, 8218, 32413, 348, 910, 333, 8607, 7117, 1422, 754, 32413, 348, 17851, 11196, 272, 8203, 336, 1422, 8218, 32413, 348, 562, 266, 336, 268, 272, 8607, 7117, 1422, 754, 32413, 348, 815, 11196, 272, 8203, 336, 22773, 1422, 2765, 18950, 336, 266, 272, 9385, 26984, 32429, 266, 333, 268, 272, 20972, 263, 333, 268, 272, 25631, 348, 8607, 17851, 1422, 2765, 346, 8987, 272, 8203, 336, 2410, 263, 333, 268, 272, 25631, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 630, 336, 266, 272, 8203, 332, 1422, 32002, 346, 273, 348, 1422, 754, 9387, 348, 609, 519, 853, 26325, 2338, 540, 519, 1101, 2186, 649, 12446, 693, 1422, 8218, 9387, 348, 815, 273, 13064, 333, 266, 273, 348, 11196, 272, 22722, 333, 266, 272, 348, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 2765, 18950, 336, 266, 272, 8203, 332, 11196, 272, 22722, 330, 266, 335, 266, 336, 348, 1422, 7032, 3867, 333, 10275, 348, 562, 256, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 12917, 333, 10275, 9385, 2431, 20972, 263, 335, 266, 336, 266, 272, 22722, 330, 266, 272, 348, 630, 333, 268, 272, 25631, 630, 333, 10275, 25631, 348, 22773, 1547, 1422, 754, 9387, 348, 8921, 649, 9258, 519, 14805, 566, 3230, 330, 1422, 21375, 562, 10275, 2330, 543, 31693, 1776, 942, 519, 3815, 30967, 336, 266, 272, 22722, 332, 13157, 263, 335, 266, 336, 266, 272, 1790, 22722, 332, 6525, 538, 519, 562, 7631, 1807, 1422, 8218, 9387, 348, 1299, 15871, 273, 13064, 333, 266, 273, 4153, 267, 333, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 331, 284, 271, 11892, 332, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 11196, 335, 22722, 332, 2000, 348, 8607, 1299, 315, 29911, 1422, 2765, 346, 8987, 315, 7032, 22722, 330, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 348, 330, 9368, 20972, 330, 256, 348, 1422, 8999, 3709, 336, 284, 271, 11892, 315, 13727, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 266, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 8607, 1299, 15871, 273, 13064, 333, 266, 273, 348, 22773, 562, 1422, 8999, 3709, 330, 284, 271, 11892, 333, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 331, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 332, 284, 331, 8703, 333, 268, 272, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 11196, 335, 22722, 332, 2000, 27874, 1299, 315, 29911, 1422, 2765, 346, 8987, 315, 7032, 22722, 330, 348, 1422, 7562, 13375, 7268, 2765, 3189, 7032, 2410, 273, 348, 330, 9368, 20972, 330, 256, 348, 1422, 3847, 28381, 1422, 9508, 13375, 3799, 10275, 2000, 266, 272, 9368, 264, 28363, 8999, 3709, 336, 284, 272, 11892, 335, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 1422, 2431, 315, 348, 1422, 32002, 346, 274, 348, 1422, 754, 9387, 348, 1141, 6695, 9508, 4433, 14638, 568, 519, 667, 597, 747, 2280, 661, 3279, 6363, 4233, 780, 2005, 4667, 607, 952, 1422, 8218, 9387, 348, 1299, 315, 15153, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8999, 3709, 331, 284, 271, 8703, 333, 268, 272, 348, 1422, 8999, 3709, 332, 284, 331, 8703, 333, 268, 272, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 1422, 8218, 32413, 348, 544, 8607, 561, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 335, 22722, 332, 2000, 348, 11196, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 2000, 266, 272, 3686, 8607, 1299, 7807, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 266, 272, 3686, 1422, 8999, 3709, 332, 284, 271, 8703, 333, 268, 272, 348, 1422, 3847, 314, 2715, 333, 268, 272, 1422, 520, 641, 544, 348, 1422, 2431, 316, 8987, 336, 266, 272, 8203, 332, 8607, 17851, 8987, 272, 22722, 333, 268, 272, 12917, 333, 268, 272, 25631, 1422, 8999, 3709, 335, 284, 271, 8703, 333, 268, 273, 348, 1422, 8999, 3709, 336, 284, 272, 8703, 335, 348, 1422, 8218, 32413, 348, 562, 268, 273, 8607, 533, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 7117, 268, 272, 8607, 562, 268, 272, 1422, 754, 32413, 348, 1422, 2765, 346, 8987, 272, 22722, 336, 266, 335, 12453, 263, 335, 268, 336, 266, 272, 22722, 333, 10275, 266, 272, 3686, 8607, 17851, 476, 271, 22773, 2073, 1422, 754, 9387, 348, 2094, 3230, 336, 315, 19008, 562, 268, 273, 2330, 543, 6695, 8218, 32413, 348, 562, 268, 274, 8607, 562, 268, 272, 1422, 754, 32413, 13157, 271, 18079, 865, 519, 2034, 2165, 538, 519, 1225, 569, 31455, 1281, 711, 3565, 780, 2080, 568, 513, 32712, 8943, 540, 519, 1267, 630, 274, 264, 585, 19027, 1384, 6135, 691, 3248, 333, 28701, 476, 276, 3248, 9508, 28701, 22876, 630, 338, 264, 3681, 11346, 267, 15561, 282, 3970, 9230, 272, 268, 273, 22677, 272, 4149, 4297, 265, 313, 9508, 22829, 1070, 590, 815, 521, 264, 1439, 22876, 3248, 337, 272, 28701, 14458, 8987, 273, 317, 8987, 333, 266, 273, 12684, 333, 265, 5417, 263, 5417, 263, 5417, 263, 5417, 6357, 30796, 3799, 268, 273 ]

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

[ 2700, 540, 25073, 543, 29897, 11871, 1496, 13078, 267, 476, 22659, 267, 476, 21854, 4940, 1717, 267, 11601, 540, 4187, 676, 1480, 5761, 2860, 2281, 729, 2404, 609, 13019, 339, 272, 21467, 343, 16054, 543, 5444, 29208, 1547, 2806, 539, 7236, 1696, 620, 269, 7152, 602, 13019, 339, 1476, 619, 28250, 680, 11294, 4187, 3842, 22629, 540, 533, 7871, 17466, 21866, 1588, 543, 12159, 540, 18919, 7709, 538, 3210, 547, 28250, 680, 11294, 1547, 1849, 320, 518, 327, 719, 1696, 620, 269, 6659, 519, 7872, 602, 1313, 15047, 344, 4249, 606, 1271, 1909, 538, 7700, 547, 28250, 680, 11294, 4187, 1547, 769, 513, 11636, 2203, 540, 2759, 10389, 2695, 13904, 1591, 26217, 1591, 3515, 267, 22629, 540, 1313, 15047, 344, 676, 476, 274, 2173, 14007, 23565, 710, 610, 676, 11083, 294, 276, 22545, 6658, 267, 2059, 609, 22629, 540, 13019, 339, 8476, 519, 11118, 25570, 640, 540, 28250, 680, 11294, 1547, 21298, 267, 621, 814, 1044, 4080, 602, 1896, 2890, 23978, 616, 632, 29970, 538, 25073, 2860, 543, 11465, 305, 268, 20969, 8992, 1591, 6668, 543, 28250, 680, 11294, 4187, 676, 1524, 2958, 6819, 25280, 2894, 543, 1437, 908, 13019, 339, 1547, 4935, 267, 13019, 339, 270, 8976, 2894, 13374, 4249, 606, 1271, 1909, 538, 28250, 680, 11294, 4187, 543, 1223, 581, 18060, 539, 547, 9258, 519, 11259, 26737, 563, 8601, 1713, 7760, 538, 3075, 1646, 543, 7636, 2389, 1173, 9643, 3797, 267, 2757, 18068, 5170, 547, 581, 519, 2101, 2126, 4781, 269, 1280, 811, 982, 13977, 1296, 267, 28250, 680, 11294, 5713, 607, 835, 540, 519, 1034, 1271, 1884, 4618, 1356, 5061, 1031, 24802, 269, 1717, 267, 28250, 680, 11294, 4187, 5170, 547, 581, 519, 2101, 19224, 548, 538, 2860, 18068, 269, 1306, 13269, 538, 7612, 476, 272, 267, 10408, 8417, 547, 28250, 680, 11294, 568, 711, 1152, 14931, 676, 922, 19718, 267, 2498, 12999, 610, 5872, 609, 922, 3077, 5027, 855, 10408, 6114, 547, 28250, 680, 11294, 14001, 5027, 3441, 849, 1404, 513, 2101, 1909, 538, 14045, 519, 10700, 1591, 12556, 269, 19204, 666, 19334, 8825, 6114, 547, 21391, 1591, 4783, 11144, 543, 7816, 28250, 680, 11294, 14001, 5027, 3441, 269, 4014, 3573, 5027, 3441, 666, 16578, 1591, 2669, 676, 30091, 267, 1896, 15202, 11444, 267, 1519, 13019, 339, 267, 623, 298, 290, 267, 543, 30684, 298, 338, 630, 324, 3052, 1421, 18317, 298, 267, 808, 301, 298, 267, 543, 533, 4343, 30684, 298, 264, 666, 10038, 28250, 680, 11294, 14001, 30091, 269, 634, 10510, 16401, 528, 3940, 533, 7871, 1404, 513, 2565, 1909, 538, 15725, 1591, 4783, 10654, 267, 5027, 7816, 543, 30091, 269, 634, 1875, 516, 1061, 528, 1119, 4592, 710, 32635, 524, 5025, 4565, 666, 849, 7119, 538, 5027, 3441, 3210, 676, 1437, 908, 1585, 30684, 298, 338, 543, 15025, 609, 533, 7871, 543, 533, 10463, 269, 10765, 2963, 5267, 602, 2890, 23978, 666, 849, 10038, 28250, 680, 11294, 8417, 269, 4595, 1585, 15202, 11444, 10038, 28250, 680, 11294, 8417, 267, 835, 1259, 547, 2087, 519, 12117, 540, 28250, 680, 11294, 568, 547, 946, 621, 538, 4999, 609, 8069, 602, 3077, 519, 15202, 11444, 543, 3565, 547, 28250, 680, 11294, 4187, 269, 3958, 267, 9256, 28250, 680, 11294, 609, 7636, 2389, 1173, 9643, 3797, 1058, 2539, 519, 18262, 540, 28250, 680, 11294, 4867, 6964, 543, 3976, 948, 538, 10970, 11868, 922, 2427, 2360, 971, 607, 26669, 549, 1729, 13877, 640, 269, 1306, 5941, 538, 713, 1957, 267, 519, 10408, 2796, 814, 1713, 1764, 538, 14045, 519, 10700, 3210, 547, 28250, 680, 11294, 543, 949, 4268, 689, 835, 3461, 547, 1776, 269, 4935, 267, 519, 2101, 4161, 568, 547, 1020, 25191, 3797, 3681, 602, 786, 581, 20688, 13402, 547, 4324, 513, 1880, 3461, 269, 9717, 519, 10462, 609, 519, 1967, 540, 1022, 9241, 2919, 3075, 543, 519, 1967, 540, 28250, 680, 11294, 607, 513, 2447, 6139, 8427, 8665, 267, 713, 1935, 949, 581, 811, 15164, 543, 1058, 581, 8362, 22002, 563, 763, 4589, 25442, 569, 23294, 1125, 952, 789, 538, 30541, 1836, 2451, 856, 1022, 2101, 9295, 538, 713, 2361, 269, 901, 1957, 729, 6462, 676, 519, 16827, 11404, 5881, 272, 278, 2767, 630, 5723, 264, 689, 519, 2817, 9435, 4659, 269, 590, 269, 25421, 5864, 584, 20321, 568, 6462, 676, 519, 20530, 334, 28118, 3004, 710, 525, 1222, 13815, 7460, 5400, 274, 271, 4200, 689, 667, 7495, 7460, 14641, 269, 0, 763, 5208, 602, 13264, 856, 693, 519, 1439, 540, 519, 476, 3422, 271, 338, 6603, 922, 1164, 1448, 538, 476, 3192, 273, 267, 1498, 540, 1576, 693, 602, 942, 18864, 6785, 602, 519, 1297, 540, 7972, 1131, 8445, 538, 602, 1032, 543, 1287, 7771, 269, 898, 8604, 538, 476, 3192, 273, 607, 952, 8832, 8581, 729, 2469, 547, 581, 10057, 538, 606, 1102, 1716, 334, 540, 23038, 267, 4439, 7410, 267, 27632, 1824, 543, 6848, 15059, 269, 23566, 2632, 729, 929, 528, 690, 4240, 630, 338, 22273, 2105, 264, 547, 519, 1526, 1716, 566, 540, 9769, 1143, 267, 543, 519, 1158, 14478, 513, 724, 770, 607, 6628, 2366, 1612, 520, 549, 641, 619, 547, 26718, 12560, 1486, 22246, 538, 14216, 787, 563, 2026, 865, 1419, 538, 6935, 547, 8581, 267, 519, 3703, 2229, 5129, 513, 1079, 1922, 3166, 3014, 269, 2201, 835, 1688, 267, 1739, 519, 11023, 28002, 10985, 538, 5181, 476, 3192, 273, 267, 621, 3370, 513, 4901, 1957, 513, 4901, 1957, 634, 8892, 540, 8832, 8581, 281, 589, 7433, 585, 17564, 267, 538, 799, 621, 7150, 267, 538, 6935, 547, 1065, 691, 819, 912, 24679, 814, 1044, 11130, 602, 7156, 1522, 581, 2016, 547, 513, 9864, 610, 18106, 4483, 540, 16285, 2901, 538, 10923, 2474, 630, 773, 676, 22151, 547, 519, 9721, 6243, 1346, 2694, 540, 8832, 8581, 1141, 513, 5354, 538, 12797, 540, 971, 513, 4483, 6818, 264, 610, 538, 11758, 12302, 2474, 630, 1122, 267, 676, 12561, 513, 4806, 540, 4745, 19988, 5539, 585, 8832, 8581, 607, 5227, 676, 519, 4317, 14891, 543, 23267, 9549, 610, 676, 513, 10325, 540, 598, 3256, 514, 1756, 585, 799, 972, 616, 971, 9551, 757, 607, 519, 1715, 1261, 1962, 1938, 543, 1656, 528, 571, 1040, 1717, 9444, 540, 891, 6030, 952, 7550, 1510, 9844, 267, 1131, 581, 15095, 609, 519, 2769, 2262, 532, 540, 8791, 476, 272, 263, 273, 264, 540, 519, 8581, 2920, 267, 476, 3707, 280, 269, 5047, 519, 23055, 540, 513, 8087, 8581, 782, 3747, 513, 9322, 540, 519, 2898, 6532, 543, 1397, 1100, 1129, 540, 23928, 585, 1447, 281, 789, 1522, 1134, 2543, 519, 10661, 540, 513, 15866, 17557, 1533, 607, 606, 21677, 547, 9322, 4799, 3719, 593, 519, 824, 1688, 519, 3703, 2229, 31205, 9709, 585, 519, 1065, 691, 819, 540, 8832, 8581, 538, 519, 2013, 540, 796, 19055, 762, 5208, 1107, 1498, 519, 1544, 729, 15653, 607, 796, 1740, 762, 563, 303, 3639, 5950, 896, 519, 476, 1789, 4458, 268, 22364, 7000, 602, 519, 3703, 2229, 2808, 3001, 7366, 540, 5215, 540, 23597, 952, 789, 1223, 711, 3247, 519, 29083, 3392, 4115, 5208, 563, 257, 28269, 10579, 1261, 987, 729, 4843, 609, 513, 3126, 540, 3681, 1519, 513, 476, 1015, 22240, 1957, 1572, 834, 16446, 3863, 532, 519, 8473, 543, 2551, 4483, 8487, 2005, 6743, 693, 2436, 14081, 534, 5208, 1223, 581, 11074, 676, 912, 268, 18734, 2590, 2127, 609, 513, 7826, 5354, 547, 519, 6243, 540, 8581, 454, 268, 25021, 1367, 7826, 3885, 547, 519, 6243, 540, 8581, 454, 763, 4589, 16668, 909, 7851, 540, 875, 621, 1223, 960, 910, 1152, 547, 1265, 519, 2127, 4857, 585, 4483, 3769, 5458, 2338, 540, 14308, 1218, 563, 257, 2414, 4483, 519, 2898, 540, 519, 8513, 7178, 540, 519, 5211, 645, 2335, 1131, 2322, 476, 24487, 267, 1822, 23597, 543, 476, 25375, 267, 1822, 14308, 1218, 883, 519, 6243, 2437, 519, 1867, 1767, 563, 1103, 1840, 267, 519, 4589, 15861, 789, 1185, 1100, 2856, 875, 2551, 4483, 1223, 581, 4294, 547, 519, 5354, 540, 23597, 2713, 538, 645, 1409, 770, 610, 824, 4683, 2127, 4799, 763, 4566, 8659, 7851, 6029, 1312, 519, 2127, 602, 519, 3703, 2808, 547, 723, 7826, 2101, 885, 912, 4002, 519, 4493, 540, 713, 4786, 789, 4682, 593, 547, 5965, 513, 2048, 13678, 680, 1881, 685, 4786, 6029, 519, 2127, 547, 581, 524, 17660, 547, 519, 5045, 267, 2059, 609, 606, 7447, 540, 519, 17557, 543, 7826, 5095, 1198, 539, 269, 634, 7851, 2630, 616, 3144, 689, 519, 18917, 543, 949, 711, 8308, 2099, 519, 18747, 912, 763, 7194, 602, 519, 1544, 779, 1951, 1123, 338, 1031, 616, 7164, 267, 855, 27229, 3769, 519, 476, 3192, 272, 14829, 1107, 4922, 7911, 20799, 1540, 1107, 543, 2487, 9550, 2164, 269, 1703, 616, 930, 22114, 538, 519, 2079, 912, 268, 898, 2982, 2127, 899, 13648, 560, 1144, 607, 2348, 513, 2048, 26171, 7826, 2551, 8730, 5103, 519, 1249, 602, 538, 519, 2038, 476, 3192, 271, 338, 519, 8664, 1185, 513, 3982, 9769, 626, 5354, 281, 476, 6321, 269, 277, 260, 538, 476, 3192, 274, 269, 13648, 560, 1144, 8664, 1152, 8593, 883, 28929, 3946, 538, 476, 1960, 278, 563, 268, 898, 9709, 547, 1331, 10011, 1194, 1120, 538, 519, 4389, 8832, 8581, 267, 855, 711, 519, 30240, 1107, 543, 1454, 811, 9244, 9769, 626, 1107, 5087, 674, 9007, 27895, 267, 606, 1858, 602, 1869, 2221, 814, 513, 9769, 626, 5354, 563, 268, 898, 29737, 569, 2982, 9061, 332, 698, 6352, 607, 1373, 538, 2048, 3682, 11687, 656, 685, 8513, 267, 1498, 2283, 4601, 9709, 547, 1688, 621, 267, 543, 519, 2898, 540, 3162, 14022, 27895, 267, 547, 519, 14081, 563, 268, 898, 2982, 519, 9244, 28929, 9061, 3467, 667, 12788, 538, 14022, 27895, 607, 1373, 2048, 3682, 11687, 656, 685, 543, 9709, 547, 1832, 621, 538, 519, 4389, 8832, 8581, 1107, 5310, 547, 1683, 513, 8115, 547, 589, 7676, 333, 659, 331, 1195, 543, 519, 1849, 690, 615, 9503, 267, 1498, 891, 2127, 621, 849, 9709, 547, 524, 27827, 547, 519, 5045, 267, 5103, 741, 1287, 9769, 626, 5354, 563, 295, 611, 519, 1065, 691, 819, 2808, 676, 519, 3703, 2229, 538, 476, 3192, 273, 2097, 547, 1780, 621, 1131, 723, 2813, 607, 1082, 2042, 607, 621, 12479, 547, 8207, 269, 10871, 2213, 9769, 626, 2101, 885, 538, 5087, 674, 9007, 27895, 543, 13648, 560, 1144, 1131, 723, 1336, 2933, 2048, 2041, 16442, 10546, 3515, 8730, 1247, 519, 3084, 1235, 540, 9061, 3467, 1131, 723, 1336, 2933, 1869, 538, 8832, 8581, 5103, 1373, 11303, 593, 1614, 5011, 676, 519, 6243, 269, 1703, 1131, 723, 1044, 513, 1279, 543, 11991, 14816, 540, 2048, 301, 4899, 8581, 685, 15198, 1524, 519, 7532, 4871, 540, 519, 674, 1195, 548, 547, 10011, 1194, 1120, 630, 663, 1519, 853, 4599, 2033, 14386, 585, 1100, 24534, 2601, 563, 763, 476, 3192, 273, 1544, 729, 5310, 513, 1434, 1383, 540, 1946, 8832, 8581, 568, 2760, 1360, 1134, 7307, 676, 519, 3703, 1107, 789, 2408, 547, 1205, 2241, 5013, 4636, 267, 5103, 741, 5732, 24037, 4539, 563, 314, 9202, 2022, 281, 519, 772, 6395, 779, 1684, 1682, 1485, 4643, 316 ]

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

[ 0, 27288, 5158, 11094, 22851, 538, 4294, 1382, 543, 2488, 1344, 267, 3872, 2326, 543, 3292, 1759, 593, 1699, 1382, 547, 3895, 7320, 5726, 1519, 3646, 547, 1732, 1174, 519, 5222, 540, 9897, 543, 28565, 593, 7320, 543, 8134, 543, 547, 1020, 543, 6218, 2553, 585, 19086, 1346, 5222, 563, 763, 1863, 267, 2228, 267, 1582, 19550, 267, 7317, 1982, 729, 2813, 547, 948, 2038, 1126, 3249, 7855, 267, 3536, 16291, 5234, 267, 13538, 543, 3237, 1174, 519, 2956, 540, 4227, 519, 1981, 540, 1426, 3106, 1644, 547, 4195, 5613, 543, 5388, 585, 1762, 1453, 269, 634, 1982, 2882, 2947, 4559, 281, 12426, 547, 18014, 11588, 267, 18610, 21277, 576, 543, 5253, 13871, 29520, 24093, 267, 5253, 8881, 17943, 585, 519, 15858, 543, 519, 28881, 267, 5253, 8881, 543, 29972, 11242, 267, 543, 5253, 8881, 593, 12197, 10222, 1186, 547, 10787, 916, 543, 26478, 685, 10369, 269, 15026, 2200, 971, 607, 7454, 13756, 454, 257, 7712, 519, 476, 2735, 271, 781, 267, 519, 4872, 540, 8899, 749, 543, 22118, 333, 267, 12590, 723, 1831, 1753, 547, 1804, 2338, 540, 5449, 15076, 689, 25591, 269, 8899, 749, 568, 1753, 547, 519, 2034, 4102, 2551, 540, 18095, 617, 2103, 538, 519, 2136, 2276, 269, 2859, 982, 3368, 540, 782, 18095, 617, 1014, 4892, 2661, 2630, 519, 6710, 1899, 543, 513, 1713, 1297, 616, 693, 1164, 1981, 585, 1426, 22584, 543, 14000, 269, 5253, 22584, 814, 1044, 2404, 609, 4965, 267, 4057, 25050, 22021, 6981, 267, 543, 8377, 1851, 2021, 540, 10285, 2085, 563, 763, 11556, 2319, 540, 519, 29550, 540, 12590, 267, 19051, 267, 28599, 543, 26658, 2832, 547, 948, 24644, 519, 4104, 539, 2244, 3490, 676, 2324, 547, 2327, 602, 513, 1713, 8167, 540, 674, 23859, 3338, 616, 5293, 689, 835, 5108, 540, 2244, 14935, 547, 519, 1985, 609, 8766, 2179, 540, 4104, 7503, 543, 1612, 4897, 1436, 269, 634, 1382, 5057, 540, 713, 1788, 786, 946, 2244, 26782, 11042, 543, 513, 13875, 5619, 547, 1732, 1174, 875, 674, 293, 11675, 1118, 3664, 827, 519, 2104, 540, 741, 2244, 563, 22709, 11637, 814, 936, 476, 272, 267, 1822, 25210, 6721, 8511, 7031, 538, 476, 1321, 2929, 4009, 3952, 540, 6870, 3395, 2230, 630, 1220, 273, 17227, 540, 11982, 1040, 4107, 540, 12590, 685, 3039, 17346, 616, 12699, 609, 2901, 4492, 3282, 610, 5277, 4412, 2033, 269, 2755, 972, 616, 1100, 6109, 5515, 2139, 267, 649, 7447, 602, 2698, 946, 540, 8093, 10173, 585, 8511, 3002, 568, 6697, 547, 5176, 476, 272, 2929, 17529, 540, 4492, 3282, 267, 609, 5434, 538, 519, 2039, 540, 476, 2420, 2929, 6550, 540, 2910, 273, 12422, 563, 6624, 1507, 543, 5420, 12696, 543, 21932, 616, 4299, 676, 519, 2487, 6388, 540, 519, 5253, 8881, 7073, 1436, 2920, 630, 12396, 7246, 264, 7939, 607, 519, 4540, 2866, 1281, 711, 2232, 875, 547, 3313, 10220, 543, 17648, 602, 1507, 543, 5420, 1426, 21932, 630, 306, 6573, 338, 264, 2253, 2866, 609, 513, 3490, 1377, 540, 1426, 3106, 1702, 602, 1082, 590, 6573, 338, 798, 711, 723, 269, 901, 1788, 10953, 3015, 267, 4336, 29003, 267, 30973, 6404, 2173, 4215, 1543, 547, 1683, 590, 6573, 338, 609, 519, 1344, 789, 991, 547, 1732, 1174, 875, 547, 2936, 16473, 633, 6513, 338, 630, 15425, 264, 538, 741, 1426, 4213, 563, 20779, 663, 585, 4195, 267, 2199, 16719, 538, 5162, 568, 3970, 1652, 267, 543, 2504, 568, 711, 5176, 5870, 3747, 267, 8204, 513, 5458, 4316, 547, 2333, 2883, 6940, 540, 1367, 11396, 543, 1426, 1949, 269, 17497, 267, 972, 568, 513, 7934, 538, 1702, 2066, 938, 3148, 827, 12136, 267, 7350, 267, 543, 2359, 540, 1524, 344, 7646, 31974, 540, 5162, 16719, 267, 543, 649, 616, 15877, 585, 2413, 267, 3608, 21364, 16719, 2504, 1949, 269, 1452, 1079, 2188, 616, 12145, 3484, 8907, 543, 20656, 267, 543, 12145, 7082, 1569, 547, 4195, 267, 2199, 16719, 1032, 5180, 563, 18719, 1324, 2359, 540, 19293, 584, 4226, 3676, 267, 2523, 19293, 584, 4226, 1524, 344, 7646, 1168, 630, 7374, 300, 1070, 814, 1044, 9846, 4857, 676, 25210, 543, 21932, 538, 10790, 607, 513, 2101, 1382, 10862, 538, 519, 2250, 4557, 1296, 269, 769, 476, 1220, 275, 267, 1007, 12490, 540, 7131, 300, 8452, 799, 1185, 7753, 4187, 602, 729, 1287, 3044, 538, 782, 29475, 8677, 543, 18113, 6417, 519, 2068, 563, 10932, 5741, 5729, 281, 476, 1001, 275, 454, 20181, 4829, 543, 10448, 6981, 568, 6444, 607, 513, 1713, 1981, 3815, 585, 4057, 1072, 4093, 1519, 606, 2799, 1981, 540, 14968, 543, 8377, 543, 7766, 1071, 2173, 27225, 885, 971, 607, 13119, 267, 3987, 543, 2295, 2068, 269, 23207, 4829, 543, 10448, 6981, 5713, 607, 513, 8825, 3815, 1996, 8377, 543, 5312, 2068, 269, 634, 2949, 3804, 540, 713, 1788, 568, 547, 2333, 519, 4616, 540, 5613, 543, 5388, 538, 513, 3077, 2146, 676, 10128, 6791, 538, 11982, 267, 5253, 7457, 267, 543, 12594, 4065, 5752, 269, 0, 298, 5684, 619, 5652, 4966, 723, 13890, 519, 1283, 2185, 4757, 1085, 600, 4798, 543, 12485, 4867, 11342, 538, 519, 5664, 5101, 267, 5695, 7288, 6614, 267, 543, 4000, 3148, 630, 300, 4953, 288, 1040, 634, 1085, 4461, 5031, 1114, 1514, 4702, 2553, 1031, 676, 6880, 322, 3234, 10904, 267, 2705, 519, 6662, 3788, 519, 1482, 267, 799, 568, 547, 1303, 823, 5667, 639, 1051, 532, 9601, 543, 21102, 741, 2123, 543, 2883, 1344, 563, 4942, 5109, 3788, 519, 1034, 1455, 1826, 540, 1514, 4702, 4323, 269, 4340, 547, 519, 1975, 600, 543, 1912, 5109, 538, 476, 1708, 273, 1867, 267, 918, 5684, 619, 5652, 779, 4550, 14428, 5109, 1062, 555, 342, 14975, 936, 476, 4335, 2929, 8942, 547, 1569, 30081, 7270, 11451, 538, 476, 1708, 273, 269, 769, 519, 631, 4953, 288, 3148, 267, 649, 1294, 602, 713, 1826, 540, 3463, 568, 3395, 936, 942, 281, 519, 2034, 10116, 540, 476, 1708, 274, 4718, 476, 273, 2053, 811, 630, 9340, 260, 2333, 264, 26122, 3713, 687, 538, 6476, 547, 519, 1101, 10116, 540, 476, 1708, 274, 630, 14631, 260, 2333, 538, 3162, 4000, 267, 476, 13970, 260, 2333, 538, 15057, 543, 476, 10219, 260, 2333, 538, 13280, 1916, 763, 2185, 4757, 1085, 4461, 4330, 2417, 24320, 1047, 2933, 547, 723, 2097, 689, 11967, 2959, 267, 8945, 532, 741, 23700, 883, 6679, 519, 15737, 267, 14467, 593, 17351, 6402, 610, 23842, 5739, 27589, 563, 308, 526, 601, 9121, 1612, 26118, 281, 4112, 334, 1746, 1480, 7279, 267, 1082, 1004, 723, 4607, 15737, 543, 1257, 6835, 689, 2022, 531, 543, 4172, 8175, 2533, 3246, 6402, 547, 6166, 8569, 610, 547, 5667, 889, 18285, 269, 8437, 532, 593, 891, 6402, 28570, 338, 2043, 547, 513, 16995, 2985, 602, 2848, 1023, 6213, 1344, 563, 15447, 2659, 21436, 630, 298, 312, 290, 2567, 15536, 322, 3234, 10904, 723, 1044, 30286, 607, 7986, 8492, 31392, 1004, 547, 2347, 918, 312, 290, 19027, 547, 16783, 609, 2883, 6042, 610, 2057, 20022, 540, 8852, 269, 634, 6662, 1934, 568, 547, 17908, 1480, 4250, 676, 10223, 1913, 971, 607, 968, 4026, 550, 892, 538, 519, 4757, 547, 13861, 9601, 269, 634, 3898, 543, 1374, 540, 519, 4757, 267, 543, 519, 918, 312, 290, 3095, 2408, 547, 1413, 8076, 547, 11617, 8945, 1004, 563, 4462, 639, 783, 4757, 2272, 2845, 2987, 2534, 281, 1452, 16995, 25887, 9206, 7301, 1129, 2987, 270, 8421, 2987, 2534, 883, 606, 1367, 779, 4757, 2272, 543, 1683, 513, 3095, 547, 1867, 519, 3593, 269, 634, 4757, 2882, 1129, 2987, 3877, 971, 607, 2197, 267, 7379, 2232, 267, 4266, 543, 11422, 799, 1118, 519, 10332, 2408, 16048, 543, 2014, 5855, 269, 21676, 9482, 609, 519, 3486, 2951, 4005, 267, 713, 1085, 600, 6249, 666, 2333, 519, 6880, 322, 17964, 1967, 2557, 563, 10403, 2724, 281, 1452, 30081, 15737, 1404, 593, 2609, 540, 1480, 26846, 543, 7279, 269, 15536, 322, 3234, 10904, 3801, 547, 18609, 1004, 547, 1930, 513, 17351, 4757, 13613, 1644, 547, 2724, 12074, 269, 769, 4641, 267, 519, 13613, 568, 606, 14103, 2985, 602, 28570, 338, 519, 6408, 547, 513, 16995, 9786, 31326, 2985, 547, 21102, 4757, 22754, 563, 763, 1657, 12485, 616, 1634, 607, 1514, 4702, 2553, 269, 4317, 4702, 568, 513, 12879, 4480, 3710, 593, 875, 1004, 1589, 543, 957, 269, 901, 3322, 606, 4757, 610, 1257, 5048, 5910, 2056, 547, 581, 689, 513, 11967, 2707, 269, 4495, 513, 6880, 322, 17964, 17358, 1018, 4665, 919, 606, 1367, 779, 3527, 267, 789, 2119, 547, 17908, 741, 3668, 540, 1702, 543, 13861, 741, 7180, 547, 2743, 519, 1439, 3804, 563, 29467, 568, 1100, 2460, 540, 938, 1272, 602, 6880, 322, 3234, 10904, 3112, 17908, 269, 5274, 7180, 543, 7553, 568, 1100, 9868, 269, 1452, 1085, 4461, 616, 513, 1267, 540, 12879, 1759, 593, 4250, 267, 7279, 543, 26846, 269, 634, 1883, 1491, 12537, 568, 547, 2628, 3007, 547, 2596, 3877, 538, 15737, 1354, 14775, 267, 1256, 952, 789, 616, 689, 11967, 2959, 267, 1317, 835, 4636, 4945, 666, 1291, 547, 10792, 4539, 892, 29499, 8575, 615, 26232, 719, 267, 8048, 8232, 1763, 792, 7815, 693, 918, 5684, 619, 5652, 563, 2414, 16102, 3054, 1996, 971, 1085, 4461, 267, 918, 5684, 619, 5652, 4966, 4363, 519, 1739, 912, 268, 6875, 513, 6251, 1413, 693, 519, 30699, 779, 2012, 543, 4757, 2232, 1354, 1065, 2391, 547, 15737, 563, 268, 6733, 856, 585, 1462, 657, 538, 519, 1560, 540, 519, 4757, 543, 1641, 1899, 563, 268, 2422, 513, 1434, 28417, 6882, 563, 268, 24344, 707, 3926, 609, 11967, 28456, 3301, 971, 607, 918, 5684, 619, 5652, 20031, 1756, 547, 948, 6895, 707, 4757, 4216, 543, 3625, 26122, 8942, 563, 268, 12315, 3054, 942, 547, 1589, 1354, 1373, 2604, 323, 883, 1065, 2391, 547, 606, 4757, 563, 268, 1403, 8969, 26251, 267, 3346, 519, 7255, 6392, 547, 11028, 325, 3305, 519, 7662, 269, 0, 296, 729, 5063, 2542, 10793, 681, 269, 28418, 262, 3210, 593, 713, 8468, 281, 16393, 519, 6276, 30197, 6611, 23571, 3713, 19777, 793, 1023, 593, 608, 26979, 1115, 888, 1103, 606, 4998, 3510, 630, 25669, 3168, 693, 10338, 3515, 540, 513, 2706, 268, 24160, 264, 972, 616, 1082, 834, 321, 1470, 1606, 793, 2137, 2580, 855, 835, 540, 519, 15864, 547, 3713, 1131, 581, 606, 17645, 1899, 538, 519, 18342, 269, 1635, 3294, 267, 713, 1131, 711, 581, 6169, 267, 1256, 1498, 972, 1131, 991, 547, 581, 513, 3586, 25579, 5109, 2707, 540, 744, 273, 538, 519, 5790, 547, 2226, 519, 744, 274, 269, 1403, 15655, 1223, 849, 581, 1336, 649, 1223, 1318, 569, 1205, 966, 28475, 9599, 2094, 15655, 543, 5135, 1810, 1405, 1071, 7721, 626, 1360, 1134, 563, 9223, 281, 4208, 9327, 1405, 744, 274, 7020, 581, 6169, 286, 1772, 972, 1022, 1875, 1532, 8344, 1184, 910, 2907, 4767, 610, 7811, 910, 5827, 540, 10451, 744, 273, 593, 513, 19236, 4336, 609, 6190, 1526, 3599, 547, 2226, 606, 744, 274, 4494, 888, 7343, 30068, 972, 616, 7811, 3157, 602, 1223, 2965, 5352, 744, 273, 538, 519, 9000, 540, 1272, 269, 594, 1175, 1810, 1405, 917, 952, 621, 781, 8810, 281, 21419, 807, 949, 3132, 705, 8438, 5135, 4694, 12742, 593, 3110, 3386, 608, 26979, 1115, 1923, 11660, 18614, 0, 290, 7614, 690, 9612, 11778, 454, 11742, 21509, 11473, 543, 27657, 454, 300, 525, 19373, 807, 281, 634, 5072, 540, 519, 1158, 781, 2101, 10764, 9114, 538, 519, 23898, 540, 27859, 781, 674, 1068, 850, 595, 29266, 269, 16329, 5505, 267, 8385, 10478, 585, 519, 12567, 540, 3798, 523, 543, 4609, 540, 824, 19978, 2984, 267, 723, 11552, 691, 1117, 10881, 547, 519, 4332, 540, 10340, 543, 4872, 10362, 547, 922, 1101, 1390, 23693, 269, 9040, 2643, 8205, 540, 519, 6014, 31519, 729, 28263, 676, 519, 10806, 540, 28435, 6319, 267, 799, 729, 3294, 28263, 676, 5681, 518, 267, 543, 519, 1101, 2749, 734, 21589, 269, 9147, 5527, 281, 1862, 0, 2691, 1058, 594, 1376, 1148, 4245, 286, 1215, 798, 594, 979, 827, 20392, 1250, 1453, 547, 1148, 286, 1548, 616, 519, 2640, 540, 1148, 286, 1452, 616, 782, 2055, 1004, 2307, 827, 1148, 4245, 543, 1762, 1453, 563, 2026, 4166, 607, 1453, 616, 2025, 2614, 547, 581, 5461, 538, 1148, 543, 723, 2614, 5386, 5179, 1983, 547, 9787, 513, 22916, 517, 610, 25879, 2250, 601, 267, 789, 666, 2253, 3257, 1148, 563, 6524, 649, 979, 883, 875, 547, 6338, 873, 547, 1148, 543, 2671, 930, 1187, 267, 2085, 29003, 4245, 267, 621, 568, 1898, 547, 4063, 602, 1148, 1058, 581, 1175, 585, 1187, 269, 1703, 1058, 581, 1100, 2604, 593, 891, 1762 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22839, 689, 3923, 547, 3923, 538, 1312, 7187, 543, 7013, 8280, 7371, 12742, 269, 634, 25274, 3812, 7851, 616, 3226, 2312, 267, 609, 6801, 10502, 21092, 2687, 547, 741, 21386, 543, 6698, 8204, 2620, 1606, 5652, 3615, 971, 607, 683, 12712, 2801, 543, 15270, 563, 2691, 519, 3047, 729, 25065, 454, 5472, 519, 645, 1080, 540, 3163, 1284, 20944, 654, 3994, 454, 2704, 17057, 1235, 538, 3406, 540, 4154, 282, 5493, 2801, 2632, 5505, 538, 3406, 540, 513, 884, 4109, 2048, 332, 1170, 532, 3095, 685, 538, 519, 12105, 5832, 282, 10136, 8840, 1900, 593, 13123, 281, 3400, 30937, 18496, 12538, 883, 519, 1686, 540, 891, 543, 1082, 824, 8320, 540, 3621, 4636, 32567, 1145, 267, 16439, 519, 10419, 21116, 543, 7713, 875, 789, 3893, 621, 4636, 269, 1261, 849, 3181, 16218, 513, 30162, 540, 2442, 4978, 267, 689, 22968, 2206, 619, 8840, 4837, 547, 29047, 682, 7825, 902, 563, 763, 772, 1440, 697, 6056, 619, 454, 763, 5274, 17714, 3245, 12389, 538, 19029, 547, 4197, 519, 15328, 21573, 454, 8867, 517, 731, 631, 331, 617, 514, 578, 267, 1655, 18522, 2278, 630, 5976, 15537, 8316, 6362, 264, 540, 634, 9835, 5071, 267, 15244, 519, 1480, 1412, 617, 903, 8124, 540, 6602, 3299, 689, 4358, 547, 3802, 20005, 547, 2230, 2951, 269, 22716, 1944, 519, 9322, 540, 1702, 543, 519, 3860, 20949, 267, 646, 9388, 1101, 609, 519, 4720, 540, 519, 1480, 2634, 543, 519, 20882, 547, 1174, 282, 1287, 6257, 519, 1646, 540, 519, 2182, 9443, 909, 547, 519, 2038, 476, 736, 628, 2540, 282, 543, 6368, 12220, 519, 12825, 3356, 540, 2257, 543, 2029, 2094, 519, 6602, 540, 7061, 6323, 563, 763, 667, 836, 2730, 2353, 675, 540, 519, 1133, 16308, 454, 1692, 1131, 596, 3035, 1045, 529, 2225, 286, 1403, 596, 1223, 1831, 15865, 267, 1018, 1131, 596, 798, 286, 1548, 2591, 1131, 596, 3068, 286, 1452, 616, 17506, 6053, 4241, 2055, 267, 9870, 5837, 21140, 543, 20872, 3621, 13753, 607, 1134, 607, 11121, 1082, 14868, 543, 17691, 827, 9059, 14034, 543, 27972, 6545, 540, 1045, 529, 2225, 269, 901, 2647, 8573, 4474, 2686, 1686, 540, 519, 1523, 540, 1045, 529, 2225, 5088, 806, 18573, 543, 670, 294, 28243, 267, 10120, 1624, 738, 1143, 543, 7061, 3069, 267, 18410, 30944, 262, 26145, 543, 519, 9804, 31491, 720, 1031, 593, 4108, 9635, 269, 0, 2304, 3872, 16968, 585, 519, 4630, 2684, 2158, 1079, 267, 1932, 267, 543, 547, 563, 11514, 2452, 713, 16968, 538, 707, 4928, 950, 3168, 693, 4630, 2684, 2158, 543, 741, 1114, 10096, 543, 29745, 563, 268, 1079, 1107, 513, 1297, 6719, 676, 2048, 273, 20371, 268, 1932, 1107, 538, 4430, 610, 849, 454, 268, 547, 1107, 5631, 1031, 607, 513, 840, 6570, 610, 30163, 454, 8196, 713, 538, 14966, 609, 938, 3573, 2039, 540, 3872, 4630, 2684, 2158, 2200, 563, 12606, 713, 4199, 607, 851, 540, 513, 3677, 4199, 3640, 610, 5149, 4643, 563, 23945, 547, 8300, 1169, 1126, 609, 7366, 540, 4116, 4058, 543, 9716, 29654, 610, 835, 540, 1079, 20519, 6529, 518, 2835, 269, 5192, 707, 1863, 1433, 609, 513, 17546, 9578, 1544, 269, 10000, 14079, 547, 17546, 9578, 543, 3409, 9890, 6258, 811, 454, 10403, 25529, 518, 7734, 16301, 1299, 17148, 281, 634, 1863, 6529, 518, 1433, 2709, 568, 1152, 2139, 585, 476, 272, 3409, 829, 3742, 9578, 1299, 31597, 1544, 2818, 1282, 519, 30572, 1974, 862, 9760, 593, 519, 476, 277, 628, 5412, 476, 1001, 280, 543, 32195, 950, 13632, 2196, 856, 269, 1677, 3409, 519, 30572, 10516, 267, 3409, 1218, 1590, 19472, 741, 2022, 531, 2232, 3842, 938, 2228, 1106, 269, 17546, 853, 6621, 14425, 519, 1318, 547, 1689, 267, 18985, 610, 1439, 513, 13319, 693, 1022, 942, 1510, 5469, 563, 13349, 11759, 15099, 12972, 454, 8196, 6671, 10259, 585, 1164, 23151, 543, 824, 6594, 1913, 543, 585, 4946, 21879, 525, 547, 3490, 1913, 630, 324, 3052, 1421, 9361, 267, 20493, 267, 1835, 625, 267, 8788, 1916, 28557, 569, 946, 4749, 11821, 1913, 630, 324, 3052, 1421, 547, 267, 1932, 267, 1079, 282, 972, 267, 741, 1040, 20330, 8967, 749, 3446, 29003, 1913, 7157, 267, 17874, 8100, 607, 2877, 563, 8340, 811, 2200, 585, 891, 3584, 454, 26473, 652, 513, 1689, 454, 2791, 1590, 581, 29429, 538, 547, 7662, 513, 1689, 269, 6178, 909, 1631, 2336, 27751, 606, 18438, 454, 2791, 1590, 581, 29429, 538, 547, 1867, 606, 5470, 269, 6178, 909, 1631, 256, 0, 288, 269, 2422, 6888, 540, 31527, 28721, 454, 272, 269, 12197, 540, 1426, 454, 2252, 596, 4076, 14437, 28252, 540, 30691, 538, 519, 2361, 540, 1426, 267, 519, 1893, 568, 711, 513, 6986, 8652, 21666, 15042, 267, 855, 513, 2370, 9962, 12077, 11950, 269, 2961, 8510, 6233, 616, 7135, 540, 3327, 267, 7250, 543, 5135, 616, 1459, 538, 2470, 269, 3509, 11950, 723, 519, 12170, 4542, 8863, 273, 302, 563, 15650, 540, 11950, 454, 12507, 657, 21839, 728, 568, 513, 19346, 519, 14724, 602, 666, 711, 581, 29230, 7458, 883, 4130, 19346, 6675, 1586, 563, 10908, 26651, 1315, 4006, 9174, 568, 4922, 2139, 538, 5613, 267, 8970, 267, 543, 9932, 563, 2467, 535, 28229, 1927, 609, 7280, 543, 7319, 13427, 538, 5613, 543, 9932, 563, 29727, 716, 846, 267, 519, 2707, 666, 581, 5833, 689, 519, 29230, 7458, 26178, 12536, 998, 938, 1426, 563, 11514, 21839, 728, 568, 513, 19346, 602, 568, 7768, 540, 1079, 1395, 657, 30828, 563, 300, 5306, 846, 630, 6921, 26651, 1341, 7280, 1070, 666, 711, 581, 3362, 25496, 676, 3935, 545, 4551, 267, 621, 568, 1031, 538, 4816, 1426, 267, 5144, 8869, 682, 822, 2989, 3694, 630, 7356, 1540, 5144, 994, 299, 716, 846, 630, 6921, 26651, 1341, 7523, 716, 846, 1070, 1336, 538, 10800, 779, 5144, 543, 476, 276, 268, 279, 260, 538, 519, 3993, 779, 5144, 563, 306, 1075, 13427, 630, 6921, 26651, 1341, 535, 28229, 1070, 4006, 568, 3339, 269, 1879, 12699, 547, 1106, 538, 3200, 4006, 1572, 1286, 14712, 6960, 269, 13242, 585, 519, 5478, 540, 4672, 8645, 267, 2571, 10425, 267, 543, 17711, 563, 21691, 903, 21839, 728, 568, 513, 19346, 7768, 540, 1082, 1395, 657, 30828, 269, 2422, 6888, 540, 30691, 593, 30713, 30828, 538, 1426, 971, 607, 7573, 267, 20566, 267, 8970, 267, 3092, 10756, 273, 269, 1280, 7802, 454, 8170, 8652, 21666, 1570, 602, 1223, 581, 1031, 585, 7802, 568, 623, 14011, 630, 20580, 1881, 512, 699, 20953, 545, 3679, 1070, 799, 568, 1500, 540, 16948, 14870, 22005, 538, 799, 519, 1570, 568, 9247, 737, 14058, 2940, 630, 12027, 657, 2940, 1040, 918, 14058, 2940, 568, 782, 540, 519, 1570, 4646, 883, 23599, 7135, 267, 26759, 16948, 14870, 22005, 454, 303, 4673, 14870, 22005, 568, 1287, 12444, 1242, 1210, 2011, 883, 519, 623, 14011, 630, 5408, 4786, 1657, 4620, 10635, 8707, 1184, 1040, 2986, 623, 14011, 8032, 899, 28052, 550, 8869, 568, 1287, 2746, 539, 609, 8715, 12935, 883, 4874, 6856, 11103, 269, 661, 3122, 4874, 6775, 602, 568, 519, 10991, 20612, 602, 5654, 899, 8142, 269, 20290, 782, 26977, 19946, 949, 5957, 1500, 540, 4874, 6856, 269, 1677, 7520, 741, 8446, 666, 581, 2938, 689, 519, 3902, 269, 31245, 540, 7802, 1500, 540, 10991, 4874, 6856, 586, 541, 985, 616, 2356, 5266, 14949, 982, 7802, 1500, 689, 6151, 10412, 267, 16536, 610, 824, 2067, 11103, 269, 5685, 8864, 540, 1570, 1500, 689, 4874, 6856, 11103, 4299, 676, 19605, 630, 5417, 1438, 264, 538, 519, 1184, 540, 1818, 20612, 630, 15290, 32232, 609, 8715, 12935, 623, 14011, 1040, 24511, 267, 972, 616, 1866, 945, 849, 546, 756, 684, 31703, 22169, 585, 519, 5478, 540, 10991, 11103, 32067, 610, 29779, 1586, 269, 661, 326, 6775, 1543, 1570, 585, 7254, 3202, 23040, 9469, 269, 634, 12249, 568, 1500, 540, 4874, 26120, 563, 274, 269, 12197, 4604, 454, 19465, 2326, 6508, 689, 30691, 538, 2489, 519, 1106, 540, 5068, 269, 21311, 3490, 1570, 2147, 547, 700, 22333, 267, 799, 568, 513, 12249, 540, 4412, 22005, 267, 519, 522, 548, 21129, 7623, 1315, 620, 5287, 525, 540, 3327, 11800, 595, 274, 269, 2986, 5068, 1570, 568, 1287, 865, 2647, 267, 8151, 689, 519, 8122, 540, 519, 2777, 630, 27415, 17981, 1070, 11647, 267, 9703, 3937, 267, 536, 32658, 1286, 267, 7515, 267, 23107, 267, 10824, 267, 3092, 10756, 275, 269, 634, 6575, 454, 2690, 6927, 540, 1148, 267, 2523, 7206, 267, 519, 1292, 1909, 540, 30691, 2291, 538, 519, 13504, 1315, 3282, 5862, 543, 19857, 269, 9320, 519, 14552, 6785, 25182, 1031, 547, 6094, 519, 5862, 269, 7843, 1602, 531, 12602, 17001, 585, 1082, 540, 519, 18810, 616, 1500, 689, 5068, 610, 512, 5268, 625, 267, 3092, 907, 31527, 21666, 30177, 1031, 585, 19267, 1500, 540, 8899, 589, 668, 1738, 6519, 13336, 568, 513, 19857, 610, 15829, 16703, 4611, 689, 623, 1068, 600, 2088, 1201, 10320, 538, 1773, 1690, 340, 609, 513, 14495, 1448, 2039, 1063, 476, 13970, 334, 595, 1107, 476, 4198, 334, 595, 269, 15829, 16703, 554, 573, 549, 330, 12365, 344, 836, 1106, 19857, 7623, 568, 513, 7848, 540, 1612, 3530, 514, 267, 7814, 641, 541, 3530, 1231, 267, 543, 23599, 30691, 563, 272, 269, 2974, 1464, 543, 5888, 540, 30691, 538, 4948, 1272, 666, 581, 19882, 538, 519, 2361, 540, 1426, 267, 7802, 267, 8027, 267, 16450, 267, 1148, 267, 543, 15312, 563, 273, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 1426, 602, 568, 538, 519, 16087, 563, 274, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 7802, 568, 623, 14011, 630, 20580, 1881, 512, 699, 20953, 545, 3679, 1070, 799, 568, 1500, 540, 16948, 14870, 22005, 538, 799, 519, 1570, 568, 9247, 737, 14058, 2940, 630, 12027, 657, 2940, 1916, 275, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 519, 4604, 568, 513, 12249, 540, 4412, 22005, 267, 519, 522, 548, 21129, 7623, 1315, 620, 5287, 525, 540, 3327, 11800, 595, 274, 563, 276, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 6575, 281, 519, 1292, 1909, 540, 30691, 2291, 538, 519, 13504, 1315, 3282, 5862, 543, 19857, 563, 277, 269, 7151, 540, 519, 28252, 540, 30691, 538, 519, 2361, 540, 15312, 267, 1851, 1866, 281, 9067, 22496, 267, 14589, 532, 630, 327, 1515, 8851, 1210, 513, 3723, 23156, 264, 543, 824, 5820, 11544, 23815, 267, 14453, 610, 21489, 32432, 563, 278, 269, 8891, 10635, 8707, 2872, 568, 519, 1267, 540, 1570, 2861, 3282, 543, 2067, 3154, 269, 2368, 1806, 616, 519, 4620, 10635, 8707, 15229, 267, 1033, 10235, 267, 543, 5841, 12285, 563, 279, 269, 8891, 10635, 8707, 2596, 2326, 666, 581, 522, 548, 325, 1231, 267, 543, 23599, 861, 3766, 553, 563, 22134, 549, 28721, 281, 3281, 2432, 7768, 540, 3327, 543, 7250, 8444, 540, 3327, 8444, 563, 10111, 8510, 6233, 281, 589, 7623, 540, 3327, 267, 7250, 543, 5135, 616, 1336, 538, 2470, 602, 814, 519, 12170, 4542, 8863, 273, 302, 563, 30821, 10635, 8707, 6080, 281, 4620, 10635, 8707, 2872, 568, 606, 2872, 602, 2326, 6508, 689, 519, 4492, 2872, 267, 13005, 19386, 3154, 630, 11499, 3154, 1916, 302, 548, 21129, 281, 634, 2596, 5820, 616, 519, 1034, 1271, 4620, 10635, 8707, 338, 899, 2802, 22005, 630, 9220, 928, 1070, 4412, 22005, 630, 335, 1886, 2940, 1070, 855, 22005, 630, 8117, 2940, 1070, 543, 855, 611, 1329, 324, 563, 288, 668, 1738, 281, 5484, 345, 2940, 543, 2881, 684, 1415, 320, 1383, 22904, 2940, 630, 290, 277, 295, 277, 1070, 547, 1663, 2940, 630, 290, 277, 295, 276, 6224, 274, 1070, 543, 1535, 22005, 630, 290, 277, 295, 275, 630, 6224, 274, 264, 476, 273, 994, 306, 24678, 3154, 281, 589, 7848, 540, 3327, 24785, 630, 4596, 264, 543, 7250, 630, 295, 273, 264, 0, 18217, 273, 547, 918, 273, 994, 5978, 18014, 6437, 5360, 625, 5702, 609, 17834, 292, 779, 12729, 3427, 4457, 5678, 15099, 267, 18113, 8600, 707, 1126, 585, 741, 12729, 2069, 563, 12218, 525, 616, 9447, 24482, 543, 10483, 676, 15931, 946, 540, 3450, 11226, 971, 607, 562, 584, 8124, 30053, 267, 1913, 6486, 543, 3381, 24056, 269, 769, 1362, 267, 1453, 616, 9415, 547, 946, 2241, 3527, 543, 11132, 7215, 585, 5559, 26494, 547, 3035, 1732, 1565, 2833, 269, 18766, 689, 1565, 267, 649, 849, 1445, 593, 14237, 1434, 5837, 2418, 543, 6208, 538, 938, 1453, 563, 27456, 272, 547, 623, 274, 994, 5978, 13722, 12729, 5049, 616, 1759, 593, 17834, 292, 779, 12729, 3427, 4457, 15099, 630, 31863, 1299, 14451, 4457, 264, 543, 616, 2141 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17807, 814, 513, 3897, 2460, 267, 602, 521, 902, 513, 581, 342, 26677, 543, 581, 32612, 1359, 590, 790, 985, 685, 5152, 547, 19936, 945, 1413, 585, 547, 4194, 922, 16221, 13655, 269, 13562, 12002, 3277, 547, 1175, 835, 540, 922, 3226, 2502, 13655, 607, 519, 968, 323, 1046, 880, 2339, 6100, 901, 568, 5631, 1317, 789, 616, 968, 514, 519, 4158, 892, 827, 922, 2953, 2470, 269, 16480, 267, 513, 2603, 540, 3744, 2303, 602, 519, 4158, 3390, 568, 606, 2189, 543, 15792, 15293, 569, 1543, 602, 666, 711, 581, 14754, 267, 1317, 621, 1281, 711, 7544, 609, 1769, 27954, 610, 1022, 824, 1106, 540, 13590, 5982, 269, 8616, 267, 1256, 4352, 519, 3897, 8631, 568, 15865, 267, 19936, 7363, 1745, 602, 621, 9090, 1281, 20807, 519, 17807, 2094, 621, 11851, 338, 606, 28507, 14965, 1764, 593, 3615, 602, 666, 581, 8068, 1700, 10472, 2186, 540, 607, 535, 30711, 6801, 543, 519, 5863, 15270, 602, 23029, 873, 269, 769, 5412, 476, 1001, 279, 267, 513, 13781, 540, 19936, 5189, 602, 741, 1007, 1382, 540, 26931, 18740, 23571, 630, 295, 4306, 264, 5961, 1223, 1459, 606, 2629, 1900, 4724, 27283, 713, 21792, 267, 16678, 7623, 267, 18867, 17766, 1007, 9543, 593, 922, 12357, 543, 5728, 633, 2470, 269, 10435, 946, 540, 670, 4306, 779, 2250, 7422, 540, 513, 476, 2004, 2600, 18797, 1804, 14925, 13421, 538, 519, 13571, 1512, 29425, 1544, 267, 519, 19936, 9672, 602, 12499, 743, 13831, 7646, 1700, 1492, 1769, 543, 27556, 16657, 602, 695, 9404, 619, 538, 1063, 1367, 15270, 3330, 540, 513, 12440, 1700, 516, 557, 1023, 519, 8905, 602, 713, 15293, 569, 267, 12001, 6219, 786, 1491, 3842, 4055, 267, 18867, 27283, 922, 3892, 609, 513, 2603, 811, 6111, 982, 824, 2409, 602, 5469, 2473, 11920, 9543, 563, 4504, 571, 743, 13831, 1769, 568, 519, 1267, 540, 1253, 4533, 633, 4205, 5473, 15270, 538, 513, 12440, 269, 769, 519, 14784, 602, 1671, 1132, 267, 1268, 6801, 616, 14324, 1085, 872, 4221, 689, 519, 14965, 13218, 602, 12622, 873, 547, 741, 3984, 14925, 269, 1452, 678, 8775, 569, 859, 1112, 539, 6801, 1287, 979, 593, 547, 1483, 793, 2933, 609, 519, 8904, 4786, 540, 519, 2698, 12440, 269, 901, 849, 4523, 547, 581, 16382, 1034, 540, 519, 12440, 779, 2312, 3897, 3390, 30443, 802, 538, 15865, 1283, 5728, 269, 2473, 11920, 1769, 27954, 9727, 1141, 6887, 540, 15270, 616, 536, 18804, 883, 513, 2582, 2943, 1776, 267, 855, 621, 1281, 711, 16616, 519, 4909, 5943, 540, 519, 12440, 4805, 269, 901, 14906, 619, 2473, 11920, 7646, 513, 513, 2603, 1447, 1808, 911, 1356, 540, 519, 3897, 8631, 563, 10527, 2014, 602, 12499, 743, 13831, 1769, 568, 891, 606, 5140, 911, 1356, 540, 3897, 1641, 538, 513, 14925, 12440, 568, 602, 8449, 519, 4158, 1641, 543, 891, 6801, 8108, 519, 12499, 743, 13831, 7646, 616, 11613, 1863, 1922, 5979, 908, 593, 519, 14965, 2009, 540, 519, 12440, 4805, 1700, 810, 789, 616, 13197, 3226, 519, 1360, 1482, 8904, 269, 1284, 723, 20114, 513, 1007, 1259, 547, 1294, 519, 5544, 538, 799, 519, 3897, 1118, 1022, 3017, 11129, 547, 581, 267, 585, 519, 2601, 602, 596, 616, 16439, 10502, 519, 3169, 14965, 2009, 269, 1284, 666, 22113, 267, 609, 513, 1360, 25861, 16657, 267, 519, 1747, 540, 4158, 880, 3390, 2223, 7150, 3220, 269, 631, 790, 807, 8053, 525, 538, 513, 5412, 476, 736, 267, 476, 1001, 279, 16735, 7632, 924, 32379, 32374, 269, 3220, 269, 8053, 525, 267, 945, 568, 540, 519, 2160, 540, 1715, 3162, 12986, 538, 17638, 267, 5245, 267, 568, 513, 1071, 27236, 540, 519, 1353, 563, 763, 6602, 543, 3067, 2305, 540, 519, 27556, 16657, 540, 12499, 743, 13831, 9543, 267, 18297, 1369, 1175, 14925, 13421, 267, 20205, 513, 1007, 543, 3730, 6293, 602, 19936, 666, 946, 547, 2689, 519, 3140, 2250, 543, 4070, 540, 7523, 12519, 13421, 538, 1732, 3178, 982, 4505, 798, 762, 269, 6301, 569, 1317, 519, 12499, 743, 13831, 1769, 27954, 32338, 919, 689, 796, 331, 13806, 29152, 539, 6801, 7610, 1746, 14925, 13421, 267, 602, 723, 1044, 14324, 28040, 2787, 958, 689, 741, 3993, 610, 4651, 3766, 531, 1314, 625, 267, 621, 568, 513, 2472, 540, 519, 3846, 673, 4205, 3330, 519, 12440, 269, 1280, 713, 2601, 267, 519, 12499, 743, 13831, 9543, 814, 519, 1761, 547, 16616, 513, 1390, 2709, 540, 2629, 9623, 11341, 547, 519, 12440, 779, 934, 4958, 542, 6561, 543, 12105, 4505, 267, 607, 1134, 607, 519, 2527, 3892, 540, 519, 1880, 1268, 12440, 15270, 873, 30441, 543, 519, 2347, 12440, 607, 513, 2698, 269, 634, 19916, 267, 2179, 267, 543, 10252, 14670, 923, 540, 519, 12499, 743, 13831, 9543, 1142, 543, 1169, 1683, 1761, 3730, 5013, 11341, 547, 519, 12440, 779, 4720, 267, 543, 3157, 12018, 1367, 15270, 666, 581, 14360, 14139, 2189, 12535, 540, 12499, 743, 13831, 1769, 27954, 563, 763, 14730, 880, 11120, 564, 454, 763, 12357, 4158, 2339, 568, 5156, 547, 2874, 540, 16678, 1875, 27408, 5669, 5536, 602, 798, 711, 2170, 609, 13590, 5982, 269, 901, 16678, 6219, 1152, 23929, 609, 865, 8153, 607, 968, 21720, 892, 10570, 630, 321, 776, 4577, 264, 1641, 676, 1259, 540, 519, 2604, 540, 8904, 269, 769, 13076, 547, 519, 16453, 8605, 540, 15328, 17443, 267, 519, 17807, 568, 7768, 540, 12341, 1472, 476, 275, 269, 280, 260, 968, 20598, 892, 10570, 1118, 1022, 3017, 267, 476, 2918, 269, 279, 260, 4158, 1118, 513, 3017, 267, 543, 513, 627, 25891, 476, 6924, 269, 274, 260, 4158, 21755, 269, 769, 1249, 267, 519, 3897, 4222, 267, 799, 2337, 1118, 909, 1034, 540, 519, 17807, 267, 568, 606, 1256, 2799, 5728, 982, 519, 4158, 880, 1118, 513, 3017, 269, 634, 1034, 14916, 6444, 27792, 585, 519, 4158, 880, 1648, 23083, 602, 621, 568, 513, 7221, 540, 2230, 676, 3294, 267, 543, 621, 568, 3056, 547, 519, 17807, 547, 17108, 538, 922, 2208, 547, 922, 4865, 968, 17742, 12955, 6100, 1306, 519, 17807, 11250, 909, 538, 922, 7269, 267, 621, 9428, 2479, 21617, 543, 21617, 8273, 543, 3677, 21092, 1700, 4777, 15701, 547, 1831, 606, 11999, 535, 3419, 573, 1163, 534, 572, 267, 607, 922, 11642, 31300, 518, 856, 899, 513, 12955, 23156, 18723, 563, 763, 3833, 1768, 1026, 569, 3765, 24887, 968, 7538, 892, 10570, 1641, 568, 2965, 2731, 9058, 269, 4634, 18562, 10570, 3390, 568, 15069, 519, 678, 2863, 540, 519, 17184, 16445, 540, 476, 274, 267, 621, 6589, 585, 782, 540, 519, 2188, 3254, 538, 519, 5432, 11270, 545, 30325, 269, 634, 10570, 2609, 1118, 519, 8608, 602, 649, 616, 1034, 5432, 609, 267, 543, 602, 649, 666, 7237, 609, 938, 3047, 3491, 326, 5962, 12823, 269, 4634, 18562, 10570, 1641, 6589, 585, 1152, 513, 9425, 1507, 6712, 540, 519, 15328, 21573, 267, 621, 568, 1018, 5189, 10715, 883, 621, 269, 634, 4401, 538, 707, 1973, 267, 519, 7513, 538, 707, 7633, 267, 519, 1216, 602, 596, 8532, 267, 519, 5070, 602, 596, 3802, 2390, 616, 782, 7768, 540, 865, 3856, 539, 968, 867, 2435, 892, 10570, 1641, 269, 4107, 540, 519, 10570, 1919, 8694, 909, 4646, 3330, 519, 694, 2130, 1606, 14585, 4221, 267, 6046, 1922, 6748, 7677, 2167, 540, 519, 17807, 779, 16221, 6801, 269, 634, 11683, 10854, 4332, 540, 519, 17807, 267, 2808, 547, 723, 7018, 12303, 476, 1691, 5479, 586, 3464, 538, 519, 2250, 267, 1152, 3812, 519, 1769, 652, 540, 10570, 2934, 1700, 5139, 4088, 267, 26775, 267, 543, 15244, 540, 16864, 269, 634, 6801, 14475, 519, 1964, 538, 741, 796, 29207, 341, 2406, 1360, 3905, 23780, 267, 4358, 1055, 609, 519, 7250, 543, 26775, 2813, 538, 519, 670, 4007, 10854, 267, 543, 1287, 2679, 811, 543, 811, 18219, 543, 18219, 10570, 2934, 782, 519, 1259, 909, 547, 4401, 676, 1259, 540, 519, 1576, 540, 2962, 540, 6046, 12760, 269, 1717, 267, 519, 3389, 5006, 10570, 2934, 540, 782, 1700, 10472, 2186, 540, 607, 20879, 543, 4154, 1700, 17647, 1044, 1500, 950, 513, 7372, 5182, 6926, 342, 676, 3294, 909, 538, 513, 31975, 320, 16411, 269, 1452, 535, 30711, 267, 9735, 24974, 1025, 6814, 9292, 331, 28448, 4396, 2101, 10570, 1919, 856, 883, 519, 2777, 5473, 6801, 1700, 718, 2813, 538, 519, 694, 2130, 268, 854, 3905, 18337, 2295, 540, 519, 28738, 3218, 1804, 5182, 267, 610, 538, 922, 23292, 2669, 31462, 525, 563, 1103, 13076, 547, 519, 9208, 8605, 585, 519, 1646, 540, 519, 2462, 8397, 5943, 540, 519, 17807, 267, 2189, 5536, 540, 519, 1875, 27408, 5669, 3897, 1641, 693, 1101, 13401, 513, 14965, 29478, 609, 1175, 835, 1776, 267, 4061, 14335, 513, 22125, 4087, 540, 2230, 267, 17941, 519, 3897, 1641, 10300, 334, 269, 853, 1737, 1176, 267, 519, 15865, 2215, 867, 658, 10300, 657, 7768, 540, 519, 4158, 880, 1919, 2879, 520, 3481, 909, 12269, 540, 29814, 7250, 3154, 269, 25756, 568, 8449, 519, 1034, 15792, 267, 607, 3927, 607, 519, 1769, 652, 267, 10570, 3815, 538, 519, 17807, 269, 1306, 513, 1267, 267, 15270, 543, 741, 11317, 540, 695, 20810, 532, 6801, 267, 7153, 856, 540, 713, 2215, 867, 658, 14334, 563, 295, 4007, 267, 2220, 26325, 267, 543, 3093, 6804, 12269, 540, 32630, 29814, 3140, 9362, 10356, 1927, 538, 519, 6305, 1998, 14334, 269, 634, 12269, 1287, 1474, 619, 5435, 539, 1524, 883, 519, 5728, 633, 12271, 540, 519, 9490, 10300, 657, 540, 519, 4158, 3390, 269, 1306, 942, 22415, 1117, 593, 1189, 538, 519, 8905, 540, 519, 1455, 23822, 618, 267, 519, 3833, 7620, 2029, 540, 1126, 6801, 941, 1373, 4535, 269, 3973, 267, 519, 28448, 1396, 11642, 540, 519, 7620, 6801, 986, 3022, 13085, 569, 3330, 540, 519, 1101, 3504, 15270, 602, 6039, 519, 2629, 1685, 540, 9363, 2215, 867, 658, 24974, 524, 2784, 956, 563, 10214, 1247, 4158, 2339, 3274, 3112, 581, 9763, 267, 621, 568, 2356, 10924, 547, 2291, 2094, 540, 519, 7168, 1898, 27753, 602, 3173, 723, 4767, 10838, 519, 2527, 540, 1713, 8397, 18477, 4703, 1700, 659, 638, 1600, 689, 741, 7229, 14965, 4205, 1765, 268, 663, 519, 2527, 6027, 689, 519, 18476, 10570, 2339, 602, 789, 3984, 563, 763, 12492, 762, 6228, 540, 4158, 880, 2339, 729, 7620, 6069, 676, 519, 10656, 31485, 3967, 744, 677, 630, 5002, 271, 268, 4350, 273, 264, 607, 513, 6364, 540, 1010, 5059, 1648, 547, 723, 606, 1620, 540, 519, 20771, 29702, 540, 938, 4865, 27305, 10158, 30982, 779, 25499, 6801, 269, 769, 476, 4350, 274, 267, 519, 18230, 12677, 31485, 674, 761, 345, 2098, 19213, 344, 630, 6245, 279, 268, 3192, 275, 1070, 849, 6069, 519, 6228, 540, 606, 16678, 1106, 540, 15792, 543, 2312, 1641, 269, 2098, 19213, 344, 25189, 713, 3932, 1317, 646, 6444, 602, 930, 1106, 540, 15865, 968, 331, 22326, 2527, 892, 14612, 15293, 6438, 676, 519, 15328, 21573, 1700, 663, 602, 713, 2312, 543, 15865, 16678, 6219, 4299, 519, 20771, 29702, 540, 25499, 15270, 7610, 1746, 11397, 14925, 13421, 269, 769, 476, 4350, 280, 267, 14984, 2963, 602, 519, 9490, 15865, 3390, 2965, 6818, 538, 2470, 729, 7229, 689, 14925, 10047, 14258, 676, 519, 28936, 903, 545, 626, 9710, 864, 654, 269, 9040, 32024, 630, 4489, 273, 268, 1001, 277, 264, 540, 519, 4993, 4659, 540, 16370, 630, 9773, 27700, 264, 538, 17131, 611, 6511, 269, 11109, 1767, 602, 267, 9040, 32024, 1705, 711, 5469, 602, 1010, 24215, 2303, 633, 7422, 8612, 519, 4527, 540, 4158, 1641, 563, 27407, 267, 15823, 2600, 513, 2540, 538, 519, 2250, 267, 519, 31485, 966, 5028, 11676, 514, 630, 4572, 279, 268, 1001, 277, 264, 8057, 547, 1831, 519, 1360, 1101, 10196, 547, 1459, 20310, 6169, 585, 519, 6228, 540, 519, 4158, 8631, 269, 769, 519, 476, 3422, 271, 338, 267, 11676, 514, 1700, 15367, 4810, 9916, 2098, 19213, 344, 779, 7500, 607, 513, 10927, 2852, 2875, 1700, 2889, 12723, 1200, 1007, 3069, 602, 1352, 1759, 593, 7523, 12519, 10047, 14258, 269, 16797, 569, 1175, 1310, 11676, 514, 779, 5659, 729, 7000, 267, 513, 3099, 540, 1898, 7422, 723, 1044, 14475, 676, 824, 19936, 602, 849, 8612, 519, 6228, 540, 713, 2189, 267, 15293, 569, 4990, 540, 12001, 1118, 1022, 3017, 269, 634, 2663, 3621, 4255, 1185, 1044, 1759, 593, 7422, 602, 6964, 14965, 7828, 532, 540, 4282, 3615, 676, 32215, 14925, 13421, 267, 519, 3892, 543, 2837, 540, 1360, 3905, 17405, 13883, 3330, 540, 2123, 15270, 543, 14925, 13421, 267, 543, 630, 2169, 571, 711, 1932, 1279, 3516, 264, 519, 8068, 4806, 540, 606, 529, 582, 1886, 625, 14754, 538, 519 ]

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

[ 0, 288, 3240, 267, 538, 1200, 1870, 11556, 267, 6257, 513, 2754, 1572, 4024, 645, 1722, 602, 814, 31601, 513, 2029, 602, 1131, 6460, 519, 9102, 2262, 547, 513, 3059, 3758, 585, 4616, 676, 3988, 610, 19700, 269, 4475, 267, 689, 1200, 7778, 25138, 729, 2111, 547, 2697, 519, 2344, 2497, 585, 1200, 6069, 1870, 11556, 269, 2701, 729, 849, 2111, 547, 1118, 10054, 827, 519, 2344, 2497, 543, 22786, 607, 25138, 3877, 519, 3549, 2907, 538, 6228, 1369, 519, 1482, 552, 268, 9248, 2344, 269, 2701, 849, 6941, 875, 519, 1870, 568, 3964, 267, 543, 519, 6735, 621, 8188, 2094, 8925, 616, 3177, 676, 922, 15712, 543, 1131, 723, 513, 2942, 1764, 593, 519, 1870, 563, 288, 3240, 849, 19528, 875, 519, 1870, 30242, 547, 2333, 8907, 267, 543, 713, 568, 998, 2810, 519, 1297, 540, 10643, 2139, 543, 849, 2810, 519, 2557, 693, 799, 10643, 616, 7857, 1242, 269, 634, 6074, 2409, 547, 3313, 519, 7443, 2173, 1314, 30093, 7274, 729, 676, 7114, 519, 8589, 3790, 543, 4180, 602, 621, 11224, 8589, 8907, 269, 4935, 267, 1352, 729, 2111, 547, 1469, 713, 676, 519, 946, 540, 2035, 563, 763, 21909, 539, 3575, 540, 14499, 543, 1875, 1790, 878, 532, 1131, 581, 1759, 593, 519, 7274, 540, 2835, 646, 23619, 267, 1312, 519, 10677, 539, 3283, 543, 519, 1863, 3283, 269, 4935, 267, 25138, 23083, 602, 519, 10677, 539, 2835, 581, 4421, 693, 2362, 5777, 267, 543, 14499, 568, 849, 31030, 593, 519, 5234, 602, 2337, 538, 7857, 1944, 519, 2835, 269, 1261, 5697, 11064, 547, 7127, 568, 849, 5018, 543, 568, 6353, 676, 519, 1082, 3549, 602, 616, 3964, 543, 2907, 7231, 609, 552, 268, 9248, 3976, 519, 2754, 729, 547, 946, 10229, 538, 1931, 547, 16174, 741, 2472, 1369, 519, 2344, 269, 634, 11556, 849, 6941, 519, 2409, 6074, 547, 6175, 3790, 540, 519, 1587, 267, 543, 713, 729, 998, 2870, 513, 31601, 1505, 540, 7857, 1944, 519, 2835, 602, 729, 14949, 2094, 4024, 645, 1722, 1131, 711, 723, 547, 6718, 3059, 2924, 689, 17404, 563, 11321, 773, 267, 538, 519, 1870, 11556, 267, 4857, 519, 2344, 2497, 607, 606, 552, 26247, 1759, 2344, 17929, 519, 2754, 9388, 609, 4024, 645, 1722, 9388, 609, 7857, 1944, 2835, 269, 1703, 941, 849, 10054, 1500, 827, 519, 2344, 2497, 543, 22786, 267, 543, 713, 729, 676, 946, 540, 22786, 3747, 4542, 543, 9273, 602, 519, 1870, 1131, 4019, 538, 1931, 547, 723, 12374, 693, 519, 1439, 269, 4935, 267, 21322, 729, 2111, 547, 2491, 602, 519, 8907, 1131, 581, 2799, 676, 519, 2754, 952, 789, 4389, 741, 5777, 585, 519, 552, 268, 9248, 602, 616, 1863, 543, 2810, 5777, 540, 552, 268, 9248, 602, 616, 10677, 539, 269, 634, 6074, 2409, 547, 3313, 519, 7443, 2173, 1314, 30093, 7274, 1131, 581, 676, 4946, 811, 5520, 547, 948, 609, 7857, 1944, 519, 2835, 543, 849, 519, 5413, 602, 646, 814, 1044, 2324, 14350, 585, 519, 2250, 3670, 3275, 267, 646, 786, 581, 2111, 547, 1118, 12434, 269, 645, 1722, 1131, 849, 2445, 1239, 547, 1265, 519, 8589, 1942, 267, 543, 8589, 8907, 3976, 621, 1131, 581, 2111, 547, 1683, 519, 7443, 12366, 1436, 269, 634, 6700, 3575, 540, 14499, 543, 1875, 1790, 878, 532, 568, 602, 645, 1722, 5036, 1010, 5777, 547, 581, 2147, 547, 1346, 6035, 676, 1010, 15712, 543, 849, 1118, 606, 2653, 543, 7874, 3135, 585, 1010, 5561, 269, 4475, 267, 811, 5561, 1131, 581, 2111, 547, 3643, 645, 1722, 779, 2228, 3135, 2094, 621, 568, 2653, 547, 946, 563, 4467, 7065, 819, 729, 519, 1292, 2942, 3196, 593, 519, 1870, 267, 855, 2094, 646, 30242, 547, 14664, 1010, 2029, 519, 1870, 1131, 581, 513, 2178, 3196, 538, 519, 552, 26247, 2344, 267, 2523, 950, 621, 2501, 547, 9117, 607, 513, 11064, 547, 1007, 6735, 269, 5015, 267, 645, 1722, 666, 581, 2111, 547, 5279, 1804, 3549, 585, 519, 946, 540, 1010, 4066, 3976, 621, 1131, 581, 513, 19311, 14679, 269, 1677, 2333, 1587, 15285, 267, 645, 1722, 786, 946, 27291, 543, 849, 14441, 1010, 2029, 607, 1114, 543, 2653, 547, 946, 269, 634, 1152, 2110, 5765, 540, 713, 11556, 729, 602, 21322, 1705, 711, 2697, 538, 1469, 875, 519, 1870, 786, 2569, 519, 3790, 540, 519, 1587, 1759, 593, 519, 1249, 602, 621, 1131, 581, 7199, 950, 6721, 621, 269, 0, 30262, 21077, 585, 19999, 601, 545, 3057, 1076, 602, 779, 1158, 14092, 13094, 543, 740, 27163, 5929, 5656, 267, 930, 7555, 585, 811, 982, 476, 273, 267, 1822, 1296, 267, 3504, 10255, 849, 3812, 1776, 20161, 602, 729, 3297, 519, 14710, 540, 606, 32415, 14655, 13108, 602, 1082, 12206, 3494, 729, 11358, 547, 2061, 519, 2197, 689, 1373, 936, 14725, 543, 9561, 519, 2418, 602, 5280, 1711, 5375, 31511, 563, 2005, 779, 519, 8988, 15183, 540, 700, 4768, 542, 267, 5045, 540, 18603, 267, 799, 3812, 930, 540, 519, 1158, 779, 1283, 3766, 24612, 1587, 1317, 540, 513, 7777, 1436, 540, 1291, 267, 13058, 267, 7601, 543, 8988, 2404, 609, 606, 5337, 15667, 31593, 883, 4587, 21439, 543, 15027, 7725, 267, 1280, 15816, 18225, 4080, 538, 513, 4183, 593, 519, 1909, 8988, 5129, 693, 519, 11135, 540, 6428, 600, 529, 538, 476, 21878, 645, 5861, 563, 5475, 513, 7372, 14655, 8136, 3366, 676, 3751, 2473, 518, 343, 525, 3893, 2250, 519, 1130, 5050, 476, 4968, 1975, 691, 753, 543, 930, 540, 922, 5259, 16167, 693, 519, 1780, 540, 26457, 641, 2643, 2801, 621, 8604, 972, 1131, 581, 1100, 7303, 519, 21037, 540, 10255, 543, 519, 8744, 540, 513, 1114, 2528, 607, 519, 6431, 2103, 25626, 2066, 563, 6546, 779, 950, 513, 1762, 23723, 1014, 22267, 3957, 23067, 626, 28965, 6069, 606, 8966, 1544, 281, 519, 16380, 1058, 711, 3068, 519, 14655, 7980, 593, 513, 25071, 267, 855, 2864, 1902, 538, 513, 18239, 563, 1103, 519, 17189, 6370, 540, 6428, 600, 529, 267, 519, 9241, 32472, 9635, 7307, 547, 6861, 519, 14655, 18239, 563, 3080, 1032, 2663, 267, 1510, 513, 26010, 547, 1489, 741, 11439, 4229, 267, 519, 6431, 2103, 1427, 8972, 547, 5607, 267, 519, 12139, 1650, 1644, 267, 4946, 602, 968, 288, 1297, 540, 12206, 3494, 602, 513, 14655, 11802, 1131, 723, 8423, 1598, 2426, 519, 1646, 540, 9147, 10255, 267, 543, 676, 10137, 5375, 31511, 3034, 6546, 1500, 6428, 600, 529, 835, 540, 519, 1034, 1713, 12959, 538, 1480, 1686, 267, 1869, 15422, 2221, 585, 875, 519, 811, 23603, 762, 5259, 18239, 17204, 513, 6746, 1227, 9120, 3196, 267, 29211, 676, 16550, 519, 28164, 547, 723, 519, 3141, 3297, 873, 543, 9420, 539, 676, 519, 12345, 536, 23395, 1055, 5259, 695, 3658, 267, 621, 814, 849, 1044, 1767, 563, 763, 14655, 26010, 4737, 539, 883, 519, 18135, 1080, 540, 6428, 600, 529, 543, 6836, 547, 3625, 1312, 1303, 27509, 855, 519, 1390, 2338, 540, 741, 9635, 3361, 513, 2186, 540, 4262, 7470, 6674, 543, 519, 5259, 18239, 4646, 538, 1899, 543, 20639, 513, 23801, 11802, 563, 763, 9635, 602, 5280, 547, 3094, 519, 6370, 540, 6428, 600, 529, 941, 6976, 585, 609, 8988, 689, 519, 15183, 540, 700, 4768, 542, 267, 519, 12139, 1767, 267, 4946, 602, 24085, 4362, 3592, 476, 1220, 15183, 543, 14788, 338, 538, 519, 1858, 6580, 547, 476, 21878, 268, 7742, 645, 5861, 269, 898, 568, 6059, 602, 476, 736, 267, 1822, 10437, 5249, 972, 547, 1683, 519, 8988, 585, 519, 18239, 4941, 676, 23067, 626, 28965, 563, 1103, 476, 4968, 1296, 540, 3742, 5599, 267, 700, 4768, 542, 3177, 3592, 476, 274, 267, 1822, 9748, 540, 6986, 8988, 269, 3143, 824, 2749, 538, 10255, 6417, 971, 513, 3638, 5599, 8664, 543, 621, 568, 5156, 602, 5599, 5129, 606, 1271, 1909, 538, 519, 4473, 540, 18603, 267, 519, 7214, 2295, 540, 519, 13642, 6520, 711, 1175, 540, 10255, 855, 5310, 538, 1158, 1686, 585, 1018, 621, 4547, 538, 2979, 267, 2257, 267, 6138, 267, 4915, 267, 14364, 543, 2565, 3206, 607, 513, 1907, 538, 2069, 563, 6781, 9646, 539, 538, 519, 476, 272, 560, 2540, 7460, 267, 519, 15183, 941, 2746, 17300, 538, 476, 5908, 275, 543, 24776, 585, 741, 1291, 676, 3943, 543, 5259, 3549, 2394, 476, 3192, 279, 563, 30262, 1168, 539, 5599, 3238, 1312, 519, 4393, 540, 3504, 1793, 698, 585, 6967, 1291, 543, 8988, 543, 519, 10868, 540, 4195, 7626, 269, 14086, 540, 13058, 7626, 729, 513, 20749, 1713, 538, 519, 700, 4768, 542, 1858, 585, 8464, 540, 1296, 543, 4401, 7626, 729, 849, 24776, 998, 519, 476, 4198, 271, 338, 563, 763, 15183, 4797, 547, 581, 3742, 267, 6721, 8988, 543, 824, 8407, 2394, 19311, 30423, 12074, 941, 25356, 538, 476, 3192, 279, 267, 4352, 519, 1909, 789, 5129, 538, 3504, 1686, 1185, 1279, 1044, 16618, 563, 8269, 518, 2590, 547, 519, 15183, 538, 1010, 476, 30500, 7460, 960, 18467, 543, 31283, 267, 2473, 523, 2684, 517, 5206, 281, 968, 2005, 568, 2312, 267, 594, 1095, 2541, 267, 547, 3025, 602, 891, 15183, 723, 585, 513, 1360, 1279, 942, 1044, 538, 3742, 5106, 282, 693, 1022, 2557, 1100, 835, 786, 14679, 547, 4368, 519, 4266, 693, 799, 789, 1101, 3459, 547, 581, 5249, 3034, 763, 11802, 693, 6428, 600, 529, 4847, 18603, 547, 21707, 543, 519, 2203, 540, 9111, 568, 1031, 676, 1034, 540, 519, 1158, 2221, 269, 2991, 519, 14710, 540, 30111, 267, 519, 2749, 32145, 540, 1975, 21840, 543, 18603, 3323, 519, 19994, 641, 517, 5886, 1014, 2782, 543, 519, 15183, 941, 25356, 585, 513, 1974, 267, 4929, 18603, 585, 513, 942, 547, 6336, 23146, 269, 26499, 776, 1975, 21840, 3294, 729, 17204, 676, 634, 15816, 267, 3056, 547, 519, 4473, 540, 24765, 8205, 543, 12138, 519, 4279, 547, 20630, 519, 14655, 7276, 602, 513, 2540, 4505, 2219, 621, 1131, 20630, 10255, 1354, 4881, 883, 29134, 1975, 691, 753, 267, 9635, 543, 8988, 269, 2334, 729, 10255, 269, 0, 763, 2622, 2657, 9257, 568, 4657, 922, 7840, 585, 519, 946, 540, 13968, 1282, 519, 11452, 6855, 543, 568, 1631, 2857, 2056, 602, 538, 2127, 1141, 972, 568, 7839, 6771, 267, 1004, 1058, 5957, 13968, 950, 1514, 26865, 568, 711, 2009, 267, 971, 607, 593, 1857, 3560, 543, 538, 15945, 563, 1103, 513, 2046, 5618, 532, 593, 11016, 267, 14959, 8689, 24932, 1968, 23413, 4592, 1520, 7315, 558, 717, 515, 3691, 344, 4615, 849, 1767, 1004, 936, 2085, 476, 2568, 610, 1346, 609, 5817, 2564, 2175, 1058, 5957, 513, 2564, 9633, 538, 3871, 1141, 1514, 26865, 3112, 581, 9738, 269, 14959, 814, 5892, 1152, 5227, 602, 1072, 1416, 4600, 267, 1346, 7210, 2989, 676, 5046, 268, 866, 543, 741, 1416, 575, 1392, 5957, 13968, 563, 307, 539, 4592, 15091, 602, 968, 332, 3696, 593, 741, 1378, 786, 711, 2149, 596, 689, 5046, 268, 866, 892, 543, 15091, 519, 2956, 540, 1688, 2914, 4770, 267, 1514, 26865, 543, 824, 3800, 269, 1261, 3773, 602, 1072, 4600, 538, 2127, 609, 7839, 6771, 1058, 1631, 5957, 2564, 13968, 538, 782, 2127, 540, 1072, 6703, 543, 711, 1175, 1346, 609, 9672, 5046, 268, 866, 2550, 267, 6031, 602, 7189, 2324, 538, 3556, 5735, 610, 824, 530, 1841, 267, 585, 1383, 267, 1058, 3136, 547, 5957, 513, 2564, 9633, 1256, 952, 972, 616, 1100, 1634, 11452, 2550, 269, 0, 2304, 28033, 3529, 21049, 547, 519, 9341, 661, 2692, 11206, 538, 23759, 3019, 814, 1044, 3957, 1310, 28167, 4144, 22479, 26369, 2094, 519, 17076, 543, 2825, 19191, 21936, 539, 1996, 519, 19883, 540, 519, 2030, 779, 1604, 563, 14071, 1360, 1454, 15874, 519, 1489, 24955, 5795, 721, 538, 5859, 532, 547, 2149, 661, 2692, 2063, 1032, 865, 621, 8604, 17501, 547, 8956, 1864, 538, 713, 1259, 267, 20803, 513, 2249, 2189, 1152, 547, 713, 4104, 267, 1310, 1864, 2223, 3081, 1353, 2278, 9410, 4258, 2131, 267, 513, 11001, 693, 681, 289, 294, 918, 1168, 563, 763, 1101, 9241, 4857, 2030, 2249, 4330, 676, 2257, 713, 1032, 2443, 513, 9691, 13155, 835, 2443, 814, 1044, 3957, 772, 19702, 18462, 546, 545, 777, 26369, 267, 1310, 519, 744, 2675, 1513, 16771, 6707, 21936, 539, 1996, 519, 19883, 540, 476, 7597, 267, 1822, 540, 519, 661, 2692, 11206, 779, 476, 1708, 267, 1822, 14143, 269, 634, 2030, 10301, 476, 275, 7397, 543, 814, 5835, 25984, 3762, 269, 772, 6155, 545, 9222, 9428, 538, 606, 796, 31695, 3148, 540, 519, 4104, 1753, 547, 513, 3099, 540, 13155, 2249, 899, 7262, 27580, 25022, 543, 4104, 19246, 269, 715, 5446, 513, 2030, 1310, 519, 4583, 7376, 24259, 513, 1769, 593, 519, 1869, 17866 ]

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

[ 2081, 602, 519, 3703, 3936, 2401, 10125, 540, 5245, 267, 4516, 267, 1715, 10215, 543, 3162, 4000, 17411, 6805, 9082, 609, 14621, 547, 2797, 2924, 267, 4098, 609, 519, 11440, 4808, 540, 519, 476, 8146, 271, 338, 543, 18138, 609, 519, 18487, 2797, 17260, 538, 2990, 676, 1797, 540, 476, 4489, 271, 269, 14301, 593, 3833, 513, 2603, 540, 2200, 267, 922, 13354, 1184, 3091, 606, 8226, 883, 519, 8978, 13210, 540, 1459, 6377, 27900, 538, 1346, 3936, 2401, 7239, 563, 5649, 610, 8281, 26321, 23527, 267, 772, 928, 23974, 7126, 281, 7087, 4658, 538, 3703, 5590, 339, 2401, 16690, 625, 267, 476, 8146, 271, 268, 4489, 271, 7300, 454, 16032, 2027, 2516, 2835, 454, 1607, 568, 1419, 519, 476, 272, 560, 8737, 1382, 540, 6739, 2797, 543, 1514, 19583, 1369, 519, 2022, 4211, 2174, 684, 626, 1974, 269, 634, 27412, 28420, 543, 16094, 12116, 519, 12497, 543, 7811, 2306, 606, 3801, 3842, 6739, 1053, 543, 2797, 17024, 547, 1118, 1995, 540, 519, 14053, 3871, 540, 2022, 268, 10919, 1143, 543, 519, 6551, 832, 540, 13075, 267, 2797, 543, 1514, 7004, 563, 300, 1173, 15756, 631, 269, 25590, 20476, 1622, 513, 8903, 17855, 540, 519, 10367, 2729, 540, 519, 7489, 543, 4678, 2088, 6690, 945, 5368, 341, 580, 528, 730, 562, 344, 4975, 781, 28630, 1369, 519, 715, 31106, 715, 6839, 625, 269, 4173, 4983, 7710, 519, 6009, 540, 14940, 543, 4008, 538, 5935, 11776, 2093, 543, 519, 10367, 4259, 269, 25590, 267, 4171, 3158, 2978, 1819, 538, 25590, 520, 1144, 781, 28630, 3768, 18249, 267, 13279, 1200, 10367, 593, 2647, 11042, 609, 6690, 5234, 543, 1200, 2123, 7422, 689, 519, 4558, 2666, 563, 763, 17418, 540, 4708, 538, 16444, 20092, 568, 2356, 17814, 607, 513, 1267, 540, 513, 10795, 267, 2802, 12061, 1049, 626, 32692, 1851, 519, 16429, 327, 2297, 324, 5354, 543, 519, 20474, 12102, 269, 2938, 1282, 713, 9543, 267, 2626, 1522, 581, 25189, 3842, 32692, 7245, 269, 2943, 267, 607, 1627, 611, 686, 1772, 21166, 9060, 267, 713, 568, 1419, 1932, 5187, 2065, 606, 23115, 856, 543, 666, 1405, 3132, 9434, 4708, 563, 4415, 856, 1280, 1326, 1154, 519, 1955, 600, 568, 606, 17801, 4919, 4983, 540, 519, 5289, 10715, 540, 519, 22359, 3150, 26757, 262, 2572, 540, 31351, 9799, 267, 12309, 267, 519, 1034, 1271, 7332, 8378, 9205, 540, 519, 4099, 5101, 269, 538, 1899, 609, 476, 275, 1296, 540, 2361, 1740, 267, 713, 19545, 7710, 875, 519, 22359, 3150, 945, 4312, 32164, 3603, 267, 971, 513, 2603, 930, 942, 2250, 476, 274, 513, 1279, 942, 267, 547, 519, 7330, 267, 723, 3358, 547, 741, 1007, 5790, 563, 268, 5398, 12075, 267, 17721, 4258, 6593, 525, 281, 21094, 543, 28673, 593, 17650, 531, 16140, 630, 28757, 1977, 12075, 994, 268, 634, 1261, 728, 1375, 518, 5174, 21310, 2552, 7337, 344, 281, 634, 21073, 540, 519, 594, 268, 1320, 537, 630, 6944, 1026, 1903, 538, 13898, 994, 268, 634, 11572, 23539, 540, 9478, 23237, 281, 589, 5530, 538, 3828, 12351, 11416, 21829, 24686, 582, 1143, 454, 268, 634, 15348, 540, 7991, 8490, 538, 12124, 3624, 630, 24336, 2622, 338, 994, 268, 22994, 559, 1944, 30643, 781, 2598, 31419, 281, 7087, 15348, 543, 519, 26647, 24327, 936, 8092, 630, 5575, 24447, 281, 1715, 667, 597, 2388, 538, 7087, 5525, 994, 21206, 2200, 585, 26321, 23527, 267, 772, 928, 23974, 7126, 281, 7087, 4658, 538, 3703, 5590, 339, 2401, 16690, 625, 267, 476, 8146, 271, 268, 4489, 271, 454, 763, 7797, 779, 16252, 602, 519, 3703, 6554, 1058, 8831, 3743, 2229, 547, 519, 4540, 10125, 1107, 16592, 4516, 630, 302, 660, 9222, 1070, 13722, 4516, 630, 20075, 13069, 1070, 543, 519, 17535, 10125, 540, 25429, 1496, 476, 3374, 9948, 595, 6369, 8379, 5058, 589, 22444, 31631, 661, 6573, 296, 3918, 32108, 267, 1715, 19839, 1873, 1157, 267, 13584, 11977, 6816, 543, 1715, 11398, 1633, 1107, 729, 711, 5612, 19500, 2390, 269, 1809, 538, 476, 7277, 278, 267, 519, 1733, 580, 6554, 267, 609, 519, 3791, 23778, 27578, 630, 5459, 540, 519, 5449, 6305, 14012, 543, 7015, 2987, 18721, 540, 7083, 20736, 5069, 264, 607, 23122, 540, 1533, 585, 519, 10125, 267, 11292, 25429, 32108, 3743, 2229, 563, 1607, 729, 547, 581, 2944, 11156, 958, 538, 1079, 5933, 269, 3689, 1058, 2097, 2048, 10517, 6974, 894, 2229, 8730, 896, 799, 519, 6519, 13896, 941, 2111, 547, 1528, 513, 23328, 267, 855, 519, 10324, 4797, 547, 581, 513, 17294, 12912, 676, 519, 3703, 22477, 269, 2311, 519, 2034, 3942, 1131, 1246, 2048, 22529, 1043, 2229, 8730, 896, 799, 9030, 6392, 543, 1379, 1131, 9114, 630, 553, 538, 519, 3703, 12057, 264, 609, 606, 10324, 540, 6305, 14012, 543, 22277, 6074, 676, 267, 543, 3743, 547, 267, 519, 11221, 23328, 269, 4634, 896, 2048, 22529, 1043, 2229, 8730, 4352, 519, 21152, 1131, 581, 2016, 3592, 2407, 1852, 540, 741, 1378, 4835, 12602, 267, 519, 3703, 2229, 1131, 11677, 1852, 540, 281, 519, 12733, 779, 2797, 11156, 282, 519, 12733, 779, 4914, 1894, 543, 4123, 609, 6628, 267, 824, 3703, 10125, 543, 4914, 6082, 282, 543, 519, 12871, 540, 1857, 3338, 630, 6518, 538, 4516, 3238, 2048, 24465, 685, 3609, 264, 538, 519, 12733, 563, 27751, 267, 3703, 12057, 776, 14430, 630, 8146, 278, 1070, 2019, 269, 476, 278, 267, 533, 269, 476, 276, 269, 2073, 6032, 269, 476, 10602, 267, 476, 11025, 1700, 274, 269, 2073, 533, 269, 476, 1240, 269, 20616, 2271, 749, 3394, 1356, 282, 610, 2806, 10594, 1149, 685, 31541, 630, 1877, 12898, 281, 20616, 2271, 749, 3394, 1356, 1070, 4989, 630, 7277, 278, 1070, 533, 269, 476, 272, 269, 6423, 631, 269, 7935, 1188, 267, 634, 4279, 21637, 2920, 630, 26780, 281, 670, 8553, 8657, 267, 476, 3192, 274, 1040, 2201, 519, 3140, 2796, 540, 519, 20736, 5069, 7797, 267, 543, 922, 7766, 21200, 543, 3310, 267, 1294, 281, 808, 269, 681, 269, 631, 269, 30215, 267, 2048, 8624, 11102, 8682, 8566, 17922, 476, 8146, 279, 1700, 6977, 273, 8730, 538, 808, 269, 670, 269, 14986, 267, 589, 269, 13053, 543, 661, 269, 589, 269, 5484, 2103, 630, 2644, 1070, 634, 11062, 3778, 540, 519, 3703, 7276, 267, 476, 273, 2019, 338, 630, 23173, 8822, 1299, 1715, 3840, 281, 11062, 2160, 4964, 267, 476, 4350, 279, 1700, 2412, 1070, 2019, 269, 0, 3528, 29464, 17012, 651, 267, 9324, 529, 595, 269, 3828, 527, 3832, 1777, 454, 1607, 7274, 20476, 1622, 609, 476, 275, 1875, 16644, 4042, 20816, 281, 519, 10609, 11939, 15913, 540, 700, 26820, 282, 519, 19358, 583, 2197, 540, 670, 19561, 670, 338, 807, 282, 519, 30083, 7770, 10504, 540, 25590, 282, 543, 519, 27245, 1014, 962, 10224, 15913, 602, 693, 2063, 1266, 5285, 539, 519, 2347, 540, 3624, 269, 898, 27180, 519, 3504, 3140, 2250, 689, 799, 1346, 20816, 7153, 543, 6920, 875, 1142, 835, 538, 922, 2123, 1505, 4383, 960, 762, 12205, 585, 519, 10038, 540, 513, 3818, 268, 24055, 267, 3818, 268, 1782, 783, 267, 543, 3818, 14426, 11317, 269, 898, 11828, 1346, 7965, 711, 1152, 607, 513, 1486, 26167, 30369, 12558, 538, 3624, 781, 6561, 267, 2943, 6920, 519, 27265, 543, 8112, 540, 1346, 2829, 267, 543, 741, 1434, 19539, 3035, 2797, 543, 1514, 3666, 269, 519, 7274, 2488, 519, 2407, 652, 26567, 2272, 540, 519, 8884, 267, 1369, 799, 2797, 267, 12250, 267, 1514, 267, 543, 13075, 11941, 616, 3710, 2987, 865, 2484, 607, 12492, 762, 267, 543, 12034, 519, 8884, 10353, 547, 513, 5318, 3140, 2250, 540, 23372, 538, 8832, 543, 2565, 5607, 563, 5649, 610, 8281, 634, 11062, 3778, 540, 3624, 267, 5292, 269, 476, 277, 281, 1325, 1329, 3204, 1307, 543, 27079, 2276, 267, 476, 3445, 278, 268, 15793, 279, 7300, 454, 13436, 19580, 2835, 454, 26296, 5912, 538, 3624, 814, 14754, 630, 516, 264, 25218, 5314, 540, 7221, 689, 519, 14345, 547, 519, 1647, 538, 2883, 267, 1514, 543, 2797, 12823, 269, 5356, 606, 16367, 6218, 540, 3624, 781, 4207, 6454, 267, 713, 19545, 18271, 513, 8589, 5314, 7828, 547, 11953, 267, 30431, 622, 543, 2362, 10146, 519, 2409, 267, 6163, 267, 7835, 267, 513, 1297, 540, 7516, 543, 6384, 540, 519, 7613, 267, 543, 519, 6286, 543, 6286, 585, 6454, 543, 1072, 1369, 519, 4182, 563, 299, 334, 753, 689, 4914, 13075, 12205, 630, 9281, 296, 12029, 264, 547, 3624, 723, 1044, 606, 1271, 4358, 547, 3624, 779, 9591, 547, 519, 2627, 2518, 269, 901, 552, 26247, 4564, 519, 476, 272, 560, 8737, 1382, 5340, 538, 3624, 547, 1368, 720, 519, 3803, 10342, 540, 17692, 296, 10372, 547, 3624, 689, 476, 2735, 272, 547, 476, 1220, 273, 269, 898, 23607, 519, 1494, 1890, 540, 4914, 1344, 538, 7700, 547, 519, 24349, 1893, 2804, 2916, 676, 1797, 540, 14236, 519, 1880, 6388, 540, 519, 7341, 543, 741, 2883, 267, 13075, 267, 1514, 267, 8733, 267, 543, 4081, 5540, 563, 262, 15900, 3624, 262, 4016, 1394, 547, 519, 8884, 689, 519, 1376, 540, 1480, 4282, 538, 3624, 547, 519, 1283, 540, 519, 12390, 19092, 538, 6994, 476, 13136, 269, 634, 5072, 540, 4207, 24349, 1893, 2486, 543, 2245, 616, 782, 547, 581, 1459, 538, 713, 24233, 8884, 540, 24349, 1893, 10340, 269, 9149, 674, 1263, 781, 1007, 4049, 7664, 24643, 693, 519, 1034, 909, 3562, 15082, 14172, 543, 15456, 8906, 689, 519, 4505, 13977, 1296, 563, 268, 19331, 731, 4270, 14114, 6150, 9534, 286, 281, 3624, 779, 3465, 775, 538, 519, 5664, 5101, 1739, 519, 6259, 11354, 630, 763, 3502, 1154, 5069, 3624, 8889, 4659, 10022, 994, 268, 634, 13340, 518, 31052, 542, 630, 24464, 27408, 5025, 337, 916, 994, 268, 634, 10003, 547, 20985, 26291, 538, 3624, 630, 294, 1478, 940, 3624, 538, 519, 476, 2641, 560, 11416, 994, 268, 25790, 538, 29942, 32190, 17978, 281, 634, 476, 279, 628, 3624, 10985, 267, 595, 16703, 301, 476, 1001, 275, 267, 2473, 328, 262, 534, 267, 3624, 267, 5239, 476, 4029, 734, 21776, 476, 273, 267, 476, 1001, 275, 269, 4860, 2213, 29120, 14430, 630, 15973, 10716, 538, 8950, 543, 6176, 3163, 994, 268, 7335, 543, 22628, 23532, 20212, 538, 519, 21654, 281, 3245, 3624, 547, 4000, 454, 268, 4144, 19166, 545, 4457, 20764, 999, 281, 634, 5020, 543, 4518, 540, 15651, 717, 2426, 342, 340, 630, 24336, 2622, 338, 994, 15761, 571, 2200, 585, 634, 11062, 3778, 540, 3624, 267, 5292, 269, 476, 277, 281, 1325, 1329, 3204, 1307, 543, 27079, 2276, 267, 476, 3445, 278, 268, 15793, 279, 454, 2690, 1454, 540, 602, 1974, 3624, 729, 5258, 883, 607, 1082, 607, 8370, 610, 4557, 6237, 2829, 267, 543, 2394, 476, 31634, 519, 5087, 729, 12199, 676, 513, 19588, 540, 18633, 543, 2110, 24331, 4108, 20816, 269, 4438, 602, 1974, 267, 4108, 3196, 5462, 519, 3337, 540, 6214, 543, 4797, 547, 581, 513, 2101, 3815, 538, 519, 1101, 5756, 540, 519, 590, 2426, 269, 3502, 1152, 729, 519, 2038, 20870, 2540, 13856, 676, 519, 1252, 1023, 538, 5087, 3624, 282, 621, 849, 729, 513, 1974, 1282, 799, 1082, 540, 519, 6237, 2112, 331, 3581, 941, 1875, 6953, 534, 1252, 1023, 267, 3226, 32599, 2389, 262, 334, 5695, 802, 563, 4517, 891, 1585, 14624, 3576, 1747, 538, 513, 1158, 602, 729, 21739, 4657, 269, 5990, 700, 12442, 570, 262, 20315, 645, 3201, 23814, 5508, 31266, 2207, 2290, 540, 519, 2042, 540, 2757, 4457, 2351, 25086, 538, 922, 4308, 902, 609, 4914, 9082, 814, 1044, 922, 5821, 547, 6474, 17946, 4474, 3069, 609, 7683, 9687, 4890, 640, 269, 634, 3504, 4998, 540, 519, 834, 325, 633, 10851, 540, 19169, 257, 19424, 539, 513, 1158, 538, 799, 3624, 267, 610, 2864, 922, 15194, 15913, 267, 519, 581, 31600, 540, 519, 13495, 622, 540, 24656, 547, 1852, 18495, 267, 941, 519, 6852, 16048, 4865, 832, 540, 796, 23896, 539, 6392, 910, 6392, 602, 729, 693, 2899, 2797, 267, 2686, 267, 543, 5837, 563, 303, 22701, 6032, 269, 681, 269, 30619, 21197, 11062, 2876, 1559, 6732, 9736, 11062, 2160, 4964, 267, 476, 1220, 279, 6032, 269, 476, 14681, 268, 273, 11062, 2876, 1559, 6732, 9736, 11062, 2160, 4964, 267, 476, 1220, 279, 21850, 29767, 634, 2185, 20816, 602, 1106, 519, 1641, 2339, 540, 713, 4320, 723, 3622, 4607, 2942, 2126, 689, 2757, 4457, 12206, 543, 723, 1044, 9763, 607, 606, 954, 8306, 538, 519, 6264, 30908, 540, 4457, 1686, 269, 3962, 729, 3964, 676, 513, 1875, 16644, 4042, 15194, 1895, 267, 945, 9738, 741, 1378, 2686, 3961, 1247, 15194, 936, 513, 3818, 30710, 1533, 1519, 1804, 12390, 4457, 5095 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2462, 24914, 269, 27819, 513, 3791, 540, 7498, 3528, 476, 1001, 279, 267, 5841, 1098, 9600, 786, 1100, 3476, 581, 1336, 538, 15165, 3536, 267, 19323, 5370, 267, 543, 13792, 5388, 602, 4892, 3049, 741, 3885, 267, 607, 9307, 676, 519, 2136, 2276, 5253, 7498, 303, 4382, 1938, 616, 24819, 543, 1271, 282, 855, 875, 2922, 616, 789, 267, 543, 945, 4267, 713, 2629, 2243, 286, 4340, 547, 513, 1957, 3370, 538, 519, 4760, 645, 3930, 7220, 267, 519, 772, 2529, 269, 7025, 10466, 10837, 779, 7498, 268, 24770, 543, 24914, 281, 30645, 15395, 9620, 1996, 519, 12918, 454, 268, 8298, 3101, 267, 4155, 4070, 3136, 547, 4492, 4104, 2530, 538, 14466, 7699, 1715, 19892, 454, 268, 30188, 25329, 585, 13778, 1032, 540, 17717, 538, 15609, 15395, 454, 268, 9540, 6868, 543, 2845, 7970, 7903, 4514, 883, 5681, 21358, 779, 4102, 6288, 454, 268, 769, 30729, 267, 6792, 7125, 585, 2849, 1807, 1756, 593, 3486, 2620, 5498, 320, 5599, 454, 268, 22096, 779, 7297, 616, 28326, 13607, 585, 13155, 16142, 1299, 12345, 267, 8761, 1239, 689, 1148, 16388, 531, 535, 29913, 454, 268, 7797, 31438, 9864, 1769, 593, 10782, 4074, 25476, 538, 32630, 10068, 2872, 454, 268, 25706, 12959, 29287, 5068, 5533, 538, 1391, 547, 11177, 22600, 549, 1407, 454, 268, 1160, 14075, 539, 10980, 6770, 13778, 2242, 547, 8835, 1014, 2950, 538, 3474, 5451, 454, 268, 25890, 540, 5169, 585, 589, 920, 779, 513, 9809, 320, 6403, 568, 513, 5818, 585, 519, 8835, 1014, 15988, 797, 454, 268, 5125, 6786, 5818, 538, 1489, 585, 8478, 998, 8835, 8750, 454, 268, 1715, 5690, 5654, 693, 875, 8835, 10664, 786, 13789, 1310, 2916, 1689, 454, 27455, 2924, 543, 1349, 1161, 454, 268, 700, 4861, 758, 5070, 9553, 13313, 16785, 5170, 607, 12868, 547, 16056, 18666, 454, 268, 21537, 1047, 4503, 286, 8478, 779, 7887, 536, 32706, 5599, 6109, 3954, 625, 5757, 710, 2924, 454, 268, 634, 524, 913, 1540, 9371, 540, 519, 2048, 10048, 540, 519, 670, 1961, 685, 543, 1010, 16916, 8835, 4104, 454, 268, 5245, 11523, 6658, 593, 2916, 1486, 22246, 9428, 8015, 4339, 1996, 3154, 1788, 454, 268, 19176, 2825, 626, 30992, 547, 476, 274, 1296, 538, 7890, 585, 3454, 859, 5235, 454, 268, 12312, 540, 1793, 664, 2372, 559, 558, 19096, 6205, 786, 1869, 11441, 585, 2146, 779, 2924, 454, 268, 11473, 281, 12866, 7843, 321, 2946, 7087, 15628, 8929, 538, 8835, 1014, 2048, 25659, 332, 3282, 2112, 20371, 268, 7087, 15628, 3747, 5126, 1310, 476, 276, 8929, 538, 8835, 1014, 2048, 25659, 332, 3282, 2112, 20371, 5715, 2158, 807, 781, 11206, 15050, 2103, 454, 268, 769, 645, 11448, 334, 267, 519, 2048, 20175, 540, 631, 4821, 685, 4339, 12868, 779, 23967, 609, 782, 2914, 2674, 12284, 454, 268, 27505, 518, 29436, 1150, 3122, 661, 3944, 328, 267, 476, 10463, 267, 20061, 1394, 519, 1296, 538, 12868, 779, 32020, 7267, 334, 454, 268, 2991, 476, 736, 1296, 543, 5215, 540, 4054, 12630, 267, 17833, 574, 656, 534, 779, 25982, 2062, 3122, 26251, 454, 268, 10897, 328, 559, 1323, 8705, 267, 24414, 14147, 2861, 22600, 17311, 1332, 518, 267, 10523, 693, 476, 5038, 454, 268, 11206, 11808, 547, 5818, 13947, 3085, 1406, 723, 547, 15093, 3529, 4763, 454, 268, 1215, 3744, 543, 513, 2146, 616, 8744, 513, 645, 11448, 534, 5757, 23725, 528, 1394, 547, 1272, 454, 268, 11206, 11808, 666, 24214, 1732, 609, 1480, 4543, 1688, 267, 1353, 2982, 454, 268, 3245, 3731, 8573, 5200, 547, 15395, 267, 4414, 25352, 568, 606, 6532, 11808, 1909, 2203, 454, 306, 11322, 7489, 5989, 454, 268, 12868, 779, 1007, 3854, 2048, 342, 517, 1406, 15093, 519, 1604, 685, 281, 1627, 26031, 609, 715, 639, 656, 4673, 779, 3733, 337, 3534, 1306, 333, 1177, 10620, 6380, 527, 686, 454, 268, 9540, 6705, 538, 1929, 2692, 607, 25591, 3649, 951, 593, 29139, 548, 590, 777, 5726, 3652, 454, 268, 1677, 1628, 922, 2048, 13582, 685, 3854, 2749, 267, 12868, 8255, 513, 4155, 998, 513, 7686, 5744, 4104, 454, 268, 7605, 755, 5757, 10350, 1883, 547, 19620, 631, 2131, 784, 5211, 21755, 538, 3068, 540, 21394, 0, 1692, 798, 12601, 338, 10518, 909, 888, 288, 2603, 540, 1004, 723, 2854, 14916, 827, 875, 3167, 6472, 10518, 909, 547, 29528, 267, 4620, 1503, 26209, 267, 7250, 4492, 1591, 6472, 267, 543, 865, 593, 269, 769, 5758, 267, 1498, 267, 707, 12601, 779, 4398, 568, 12936, 676, 5663, 267, 1141, 543, 875, 596, 5397, 267, 543, 875, 4264, 707, 1379, 3761, 568, 563, 2691, 621, 2501, 547, 5663, 6472, 267, 649, 723, 519, 5413, 540, 811, 982, 513, 2540, 540, 594, 4753, 5478, 3297, 721, 269, 17451, 2094, 10464, 3282, 1660, 743, 539, 2038, 3167, 6472, 856, 540, 519, 2344, 538, 519, 476, 5002, 271, 338, 267, 10081, 9755, 723, 1044, 4466, 2081, 547, 3132, 594, 4753, 6472, 693, 4336, 267, 10464, 569, 563, 763, 1482, 666, 1406, 581, 1767, 540, 12601, 338, 269, 4014, 519, 1101, 6472, 941, 3167, 267, 789, 10093, 1406, 1044, 3812, 693, 4336, 2394, 5266, 5063, 269, 634, 9075, 1631, 1031, 538, 1346, 6472, 616, 693, 519, 1439, 540, 513, 1279, 543, 4199, 25673, 3761, 1899, 1765, 810, 952, 649, 1152, 5635, 519, 5478, 540, 1142, 2186, 540, 6174, 267, 972, 616, 811, 2518, 8337, 5434, 2404, 609, 6721, 3167, 563, 8489, 519, 12285, 16125, 519, 4155, 267, 12601, 338, 2253, 547, 6952, 909, 609, 741, 594, 4753, 30980, 563, 763, 5742, 540, 19634, 2740, 12207, 7330, 5359, 602, 267, 547, 6474, 519, 2518, 8337, 5434, 540, 606, 3328, 12601, 267, 513, 4620, 1503, 6174, 1131, 991, 547, 3035, 513, 4492, 4398, 540, 476, 11011, 5195, 547, 519, 20645, 30147, 18922, 547, 1175, 896, 476, 4375, 21240, 829, 1142, 1396, 516, 540, 4492, 563, 12024, 609, 594, 4753, 6517, 267, 1978, 5686, 540, 6117, 543, 1978, 1768, 23230, 1689, 875, 3608, 513, 6174, 568, 267, 855, 789, 5462, 602, 267, 593, 3328, 538, 519, 7330, 267, 606, 12601, 786, 2736, 1256, 593, 602, 5434, 25673, 6007, 538, 476, 2420, 3275, 540, 6117, 563, 2005, 849, 5673, 1765, 16673, 2041, 15069, 1765, 517, 875, 18660, 707, 7470, 568, 563, 2691, 649, 2911, 827, 1134, 3562, 2914, 515, 1564, 2079, 540, 594, 4753, 6472, 267, 649, 2461, 13288, 547, 519, 2898, 3761, 5832, 585, 4620, 1503, 267, 799, 568, 28020, 28537, 1765, 3199, 260, 540, 519, 1648, 568, 2356, 4503, 538, 519, 1184, 540, 10868, 267, 27715, 267, 21381, 267, 543, 865, 593, 563, 763, 1482, 2186, 540, 7156, 814, 547, 979, 883, 12570, 2436, 519, 1648, 2707, 676, 799, 596, 5279, 707, 12601, 568, 4264, 269, 769, 476, 1001, 280, 267, 3173, 689, 519, 2160, 540, 24368, 5206, 602, 4470, 593, 538, 799, 851, 540, 519, 2197, 596, 556, 12737, 539, 621, 267, 707, 12601, 779, 5434, 1223, 4268, 689, 1063, 476, 736, 260, 2539, 982, 513, 4620, 1503, 6174, 547, 476, 6434, 260, 2539, 269, 1656, 789, 849, 4362, 602, 513, 19018, 622, 630, 4818, 1563, 547, 519, 2489, 2551, 264, 1297, 540, 12601, 10256, 1031, 3859, 1379, 607, 851, 540, 741, 556, 12737, 532, 30147, 568, 6157, 811, 4264, 982, 5373, 689, 519, 7470, 563, 7021, 922, 10715, 267, 606, 3167, 6174, 786, 2141, 3132, 7864, 5434, 454, 4002, 2825, 1764, 267, 606, 12601, 786, 10726, 856, 606, 4835, 13674, 2599, 6174, 563, 3719, 602, 779, 6027, 2066, 922, 10715, 269, 5457, 267, 593, 3328, 267, 602, 1286, 3085, 1406, 968, 19874, 1256, 892, 3379, 547, 606, 594, 4753, 6174, 2394, 1296, 1310, 596, 1376, 6117, 621, 269, 1677, 2731, 7623, 519, 2640, 540, 707, 3167, 6174, 267, 596, 1131, 991, 547, 1832, 6117, 621, 585, 1296, 811, 269, 0, 13043, 11150, 281, 9351, 7844, 6396, 540, 18527, 454, 1103, 713, 835, 6066, 2979, 1576, 267, 649, 786, 1451, 543, 2259, 14921, 909, 547, 476, 273, 18251, 676, 476, 273, 18251, 2338, 1210, 519, 1858, 2203, 1505, 540, 8691, 563, 4785, 6103, 476, 274, 910, 476, 275, 454, 10743, 616, 1565, 2979, 8335, 982, 875, 741, 3237, 4121, 543, 3006, 602, 568, 4101, 585, 3237, 547, 948, 741, 1053, 1451, 2979, 2994, 269, 901, 1362, 568, 5059, 593, 17265, 835, 540, 1346, 2994, 267, 12082, 538, 1297, 2631, 267, 519, 9351, 7844, 6396, 540, 18527, 256, 630, 1607, 1505, 568, 3006, 5219, 547, 607, 519, 834, 26213, 6396, 1701, 264, 769, 713, 835, 6066, 1362, 267, 649, 786, 2689, 8691, 14249, 543, 519, 1858, 2203, 1505, 269, 901, 1362, 568, 3501, 585, 513, 2647, 2039, 540, 6267, 267, 689, 2483, 1607, 1362, 568, 6026, 538, 2296, 563, 10743, 786, 1451, 875, 547, 9062, 476, 273, 18251, 676, 476, 273, 18251, 2338, 1210, 519, 1858, 2203, 1505, 563, 25603, 519, 4116, 454, 8702, 6267, 543, 3885, 256, 594, 2648, 3450, 10026, 2979, 543, 2257, 267, 799, 594, 723, 936, 476, 1015, 1296, 540, 1995, 3257, 269, 594, 2972, 4101, 8885, 547, 2736, 1524, 9875, 3562, 268, 16187, 2979, 2035, 883, 2081, 602, 1053, 1265, 11541, 543, 2483, 30182, 12773, 281, 276, 269, 271, 10831, 540, 8039, 281, 263, 274, 994, 4467, 921, 1540, 676, 476, 280, 6267, 454, 299, 633, 3381, 11401, 454, 273, 268, 279, 6267, 829, 1362, 0, 1103, 1272, 267, 649, 1419, 1305, 3853, 585, 6000, 267, 20678, 547, 3035, 873, 538, 13922, 540, 4742, 3811, 267, 4583, 267, 610, 25343, 269, 1717, 267, 519, 10839, 676, 6424, 15966, 1638, 965, 12789, 1421, 968, 290, 3916, 321, 519, 7823, 865, 596, 666, 1294, 519, 1158, 267, 711, 865, 519, 1158, 666, 1294, 596, 2223, 19595, 721, 602, 938, 18144, 585, 13197, 938, 3853, 1058, 711, 581, 9003, 10704, 1472, 875, 1866, 13498, 721, 269, 5502, 267, 649, 1058, 1445, 593, 11543, 1007, 5380, 267, 7680, 2123, 2208, 267, 543, 11543, 513, 1732, 1620, 540, 519, 1158, 1472, 721, 563, 8139, 519, 12791, 19992, 519, 2372, 1774, 454, 4263, 1101, 16145, 267, 519, 10839, 1522, 3100, 899, 513, 2241, 4062, 540, 5796, 547, 5000, 1004, 547, 1445, 593, 1582, 21553, 2889, 22777, 2864, 982, 9003, 593, 8236, 21239, 543, 19539, 269, 1717, 267, 519, 4514, 2495, 3297, 519, 10839, 6013, 538, 519, 2856, 602, 1272, 568, 827, 5275, 1007, 2833, 543, 1565, 689, 873, 267, 2864, 982, 8806, 7213, 6819, 18517, 547, 1397, 1055, 547, 1866, 269, 1879, 649, 18214, 513, 7823, 267, 649, 616, 11319, 6000, 547, 519, 3970, 267, 1312, 9308, 543, 15508, 267, 538, 1931, 547, 2744, 513, 1007, 5133, 593, 519, 1158, 269, 634, 18214, 3294, 568, 606, 22920, 267, 855, 621, 568, 711, 519, 1034, 1271, 851, 540, 519, 3460, 563, 763, 10839, 849, 5267, 602, 649, 1058, 711, 2661, 938, 2729, 2687, 547, 824, 1004, 779, 6788, 269, 18320, 1419, 267, 649, 1205, 9575, 909, 538, 3843, 547, 23666, 1866, 610, 2744, 741, 13170, 267, 3079, 540, 13197, 938, 1378, 18653, 543, 4690, 269, 29725, 6883, 519, 7823, 568, 513, 14165, 585, 13197, 938, 1378, 2619, 267, 7488, 540, 1018, 1866, 949, 1589, 269, 1879, 649, 18214, 519, 7823, 585, 6000, 267, 649, 616, 5275, 547, 2744, 513, 1007, 5133, 267, 547, 1451, 267, 543, 547, 1332, 563, 28274, 519, 2372, 1774, 547, 3776, 22032, 454, 763, 10839, 666, 581, 4294, 547, 1082, 2127, 540, 938, 2729, 267, 689, 2123, 3347, 547, 4876, 3853, 269, 769, 938, 2123, 2729, 267, 621, 779, 2653, 547, 1205, 9575, 909, 538, 1018, 1866, 1589, 540, 721, 267, 543, 547, 1745, 2604, 547, 14883, 547, 741, 6788, 269, 1717, 267, 952, 649, 1445, 593, 938, 1378, 2208, 543, 1646, 267, 649, 666, 2744, 513, 4514, 1620, 540, 6000, 543, 519, 1158, 1472, 721, 563, 1103, 938, 11678, 267, 649, 949, 1745, 2604, 547, 3035, 1967, 610, 2744, 6284, 689, 1866, 269, 1717, 267, 952, 649, 1445, 593, 3257, 960, 602, 649, 1265, 6209, 543, 16180, 267, 2864, 982, 1175, 31743, 1310, 934, 565, 3547, 267, 649, 666, 1711, 513, 2631, 540, 3483, 543, 20106, 538, 938, 2729, 563, 1692, 547, 15233, 519, 2372, 1774, 538, 6657, 454, 2414, 4019, 519, 10839, 538, 2259, 267, 649, 666, 1376, 676, 4259, 3853, 585, 6000, 602, 616, 10704, 1472, 2123, 2208, 543, 1646, 267, 2864, 982, 5007, 15418, 269, 1284, 666, 1445, 593, 1565, 1007, 1983, 267, 11543, 1007, 5380, 267, 543, 5275, 856, 1007, 2833, 269, 1284, 666, 849, 3295, 6000, 609, 1004, 945, 2671, 938, 2418, 543, 1489, 938, 3853, 563, 5194, 1259, 547, 4019, 519, 10839, 568, 547, 4161, 6000, 547, 1900, 3544 ]

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

[ 4055, 602, 6238, 609, 513, 1880, 4484, 454, 2171, 1223, 711, 1265, 519, 4484, 2473, 267, 865, 1250, 5067, 1767, 968, 343, 11920, 892, 543, 6410, 593, 547, 962, 563, 16605, 4466, 5022, 2394, 596, 3914, 2098, 454, 2467, 568, 1100, 16771, 538, 519, 3014, 563, 763, 3014, 5171, 616, 2324, 1927, 547, 1265, 782, 519, 5022, 538, 519, 9904, 563, 1103, 713, 3014, 267, 596, 616, 7114, 1913, 538, 513, 1978, 7121, 538, 9904, 673, 1931, 269, 901, 3014, 786, 1118, 596, 1589, 563, 16521, 519, 6688, 596, 1616, 547, 946, 538, 519, 3014, 563, 29613, 553, 585, 6688, 616, 7498, 2171, 8359, 1426, 607, 938, 7121, 563, 12648, 7140, 6031, 1913, 538, 9904, 673, 1931, 2394, 596, 1205, 547, 2098, 563, 763, 1101, 1268, 949, 2161, 968, 288, 568, 585, 11197, 454, 763, 2034, 6345, 949, 1533, 9232, 645, 568, 585, 14465, 3570, 3034, 2252, 513, 1268, 4991, 588, 22981, 593, 513, 4484, 267, 519, 824, 5716, 666, 4217, 873, 563, 5629, 596, 723, 6192, 835, 7121, 267, 3442, 1776, 835, 563, 1607, 568, 513, 1390, 6947, 3014, 585, 5716, 269, 898, 786, 948, 5716, 2259, 741, 3742, 6947, 1983, 269, 901, 3014, 666, 581, 5129, 609, 1079, 610, 811, 1004, 563, 3080, 6345, 786, 4584, 606, 6221, 538, 519, 4055, 563, 763, 1482, 6345, 786, 2285, 10881, 547, 519, 824, 1268, 4433, 264, 827, 519, 6221, 538, 519, 4055, 563, 763, 824, 5716, 685, 2816, 568, 547, 7058, 519, 6221, 1759, 593, 519, 10881, 2016, 563, 5629, 606, 6221, 814, 1044, 31665, 267, 1287, 1776, 6345, 786, 4584, 606, 6221, 543, 2285, 10881, 547, 1866, 563, 1607, 568, 875, 649, 1118, 7996, 585, 1279, 5712, 540, 942, 1187, 256, 898, 568, 513, 1390, 4244, 547, 2348, 3214, 593, 513, 5100, 6049, 610, 16979, 563, 7069, 1920, 6534, 803, 547, 2724, 693, 606, 2038, 2085, 269, 1306, 513, 2185, 4458, 6040, 267, 1250, 4587, 7015, 6931, 8124, 267, 5189, 803, 547, 10203, 2724, 269, 6931, 8124, 568, 22221, 1296, 1250, 9972, 267, 865, 646, 729, 1250, 21927, 2059, 609, 1373, 1250, 24107, 563, 5475, 1565, 875, 547, 2328, 538, 25777, 267, 1250, 3993, 5795, 803, 519, 4305, 540, 11423, 856, 11974, 547, 2628, 938, 7622, 10626, 12014, 269, 2991, 11264, 519, 4305, 267, 1250, 3158, 1131, 1129, 519, 2638, 563, 1607, 6026, 803, 3407, 4245, 269, 1306, 513, 8370, 4458, 6040, 267, 594, 729, 5432, 609, 875, 1454, 1250, 1920, 6976, 585, 1216, 267, 5201, 267, 15146, 267, 543, 10814, 2533, 269, 1306, 513, 1267, 267, 594, 729, 6857, 540, 7432, 1055, 8279, 950, 594, 2451, 513, 4055, 543, 875, 1454, 1216, 594, 1031, 950, 2921, 513, 8602, 269, 4495, 594, 3323, 9878, 12014, 593, 1250, 1378, 267, 621, 729, 2034, 2470, 547, 2628, 873, 538, 513, 12905, 6073, 563, 1607, 1433, 568, 2139, 593, 8835, 269, 8437, 519, 3239, 1657, 547, 1569, 621, 563, 7628, 519, 28782, 540, 1250, 1647, 543, 1164, 1153, 1296, 267, 6931, 8124, 543, 1010, 7385, 267, 18466, 548, 267, 14376, 803, 547, 3251, 609, 873, 585, 1079, 547, 1614, 4374, 269, 4438, 891, 2053, 267, 789, 6534, 803, 547, 2724, 3584, 971, 607, 519, 6006, 2344, 267, 1719, 3928, 267, 543, 5491, 998, 3756, 543, 1909, 4249, 269, 1358, 849, 11262, 543, 13234, 513, 1870, 543, 621, 729, 1250, 2816, 547, 4217, 543, 1451, 1018, 621, 3576, 547, 581, 606, 16724, 563, 303, 23035, 898, 2201, 454, 2691, 1250, 5067, 267, 595, 800, 267, 729, 19939, 3275, 267, 646, 4718, 513, 10116, 593, 519, 3349, 543, 19184, 539, 621, 538, 519, 2011, 269, 1261, 729, 27086, 693, 519, 3280, 621, 1500, 2899, 621, 5734, 519, 6989, 269, 1261, 8604, 5461, 538, 519, 10116, 543, 594, 4956, 621, 729, 942, 547, 1397, 1864, 513, 6477, 4445, 4871, 563, 7069, 3483, 729, 547, 1577, 1864, 5905, 267, 1745, 267, 543, 1404, 609, 11113, 269, 5221, 595, 800, 729, 19939, 3275, 693, 713, 942, 267, 594, 18423, 2673, 547, 1864, 269, 594, 1705, 711, 1616, 1864, 547, 2322, 519, 2724, 538, 1010, 5023, 269, 1261, 5402, 3576, 30779, 625, 267, 12183, 1564, 267, 546, 1307, 267, 543, 20453, 856, 540, 519, 5068, 9126, 543, 2322, 873, 538, 519, 6477, 4445, 4871, 269, 1261, 729, 20938, 609, 519, 804, 4474, 3280, 1500, 607, 519, 11113, 5734, 519, 5377, 540, 519, 6477, 4445, 4871, 563, 290, 800, 543, 594, 723, 8268, 1585, 2883, 7924, 3584, 2094, 1010, 1101, 7237, 609, 519, 10116, 607, 513, 19939, 3923, 2025, 269, 1452, 3584, 2039, 689, 2724, 6284, 543, 9494, 547, 1483, 10040, 10115, 543, 1870, 269, 1261, 814, 1044, 6534, 547, 713, 1888, 998, 3756, 543, 22488, 2238, 269, 1280, 1383, 267, 649, 5941, 1483, 10040, 10115, 676, 1210, 7591, 5937, 2129, 267, 1957, 267, 543, 15513, 563, 2171, 723, 849, 5941, 519, 3483, 540, 1286, 6142, 676, 1210, 1010, 11442, 6517, 269, 3733, 5067, 543, 594, 6108, 513, 2603, 540, 942, 538, 519, 1286, 2469, 547, 519, 17365, 4558, 267, 1404, 30098, 267, 5939, 267, 5399, 267, 3092, 269, 595, 800, 729, 8049, 827, 1018, 4523, 952, 594, 5734, 513, 1286, 269, 901, 3366, 547, 513, 4901, 827, 1286, 10913, 267, 7128, 10492, 267, 543, 1286, 6142, 1247, 649, 1185, 513, 1521, 693, 667, 6064, 514, 5213, 7491, 269, 1284, 4682, 1753, 543, 3989, 2474, 971, 607, 15668, 543, 16580, 6142, 676, 4730, 543, 1835, 4770, 11442, 6517, 563, 19400, 519, 3381, 2630, 547, 1451, 875, 547, 4001, 1453, 519, 2883, 7924, 1913, 267, 2667, 1115, 267, 9149, 3809, 267, 543, 3690, 13905, 676, 3274, 4730, 3933, 30496, 563, 19350, 616, 2055, 1082, 3237, 723, 827, 3450, 3214, 2883, 7924, 7498, 1692, 798, 596, 4001, 3214, 827, 18083, 888, 2750, 19397, 1453, 547, 4245, 538, 8804, 1281, 711, 723, 547, 581, 3819, 543, 19309, 269, 769, 1249, 267, 607, 4079, 649, 4308, 609, 2724, 3592, 593, 513, 3232, 4493, 269, 1411, 666, 1331, 707, 1126, 538, 930, 540, 1346, 1483, 1158, 2833, 267, 899, 1250, 3237, 1705, 267, 676, 2348, 873, 2628, 585, 741, 1378, 6221, 693, 519, 4558, 610, 4543, 596, 2628, 12014, 563, 5194, 2856, 568, 547, 946, 707, 1126, 779, 9162, 547, 2491, 2883, 2035, 2147, 547, 875, 649, 1031, 11442, 6517, 547, 2491, 1286, 6142, 563, 4415, 936, 476, 1789, 1296, 540, 5916, 1995, 538, 3450, 2883, 7924, 267, 6931, 8124, 543, 594, 723, 2854, 513, 1433, 1572, 267, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 269, 2467, 616, 936, 476, 8099, 3756, 270, 716, 8481, 267, 4388, 267, 543, 2200, 593, 875, 547, 4001, 3214, 2883, 7924, 693, 606, 2038, 2085, 269, 634, 2238, 1331, 2326, 543, 9162, 602, 596, 2907, 723, 538, 707, 1753, 269, 1358, 849, 1331, 1187, 2361, 15143, 602, 1711, 513, 3946, 6823, 1935, 543, 513, 7110, 547, 707, 1126, 779, 1565, 563, 2005, 786, 948, 596, 1491, 519, 27378, 3014, 856, 540, 875, 547, 16616, 3214, 547, 2724, 3584, 543, 2035, 563, 1432, 568, 6026, 538, 2883, 7924, 888, 1103, 519, 1433, 267, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 267, 649, 2232, 2724, 3584, 971, 607, 519, 1686, 540, 2724, 267, 1585, 2081, 1004, 7118, 621, 267, 543, 875, 621, 568, 1031, 269, 1411, 786, 1451, 1187, 2081, 547, 4001, 707, 1126, 827, 22343, 267, 2596, 12948, 267, 519, 3017, 1063, 20824, 543, 7221, 267, 543, 7963, 563, 2171, 849, 4001, 596, 875, 547, 946, 3688, 538, 707, 1753, 267, 971, 607, 9162, 543, 7802, 267, 547, 6338, 707, 1126, 547, 1483, 10040, 10115, 267, 13632, 267, 7554, 267, 543, 8994, 7482, 269, 6258, 547, 946, 7622, 3688, 547, 1711, 1187, 7653, 543, 1909, 4249, 865, 707, 1126, 786, 723, 606, 1620, 540, 891, 5396, 563, 2252, 596, 723, 513, 1126, 945, 814, 513, 2603, 540, 2093, 610, 814, 513, 7287, 547, 7118, 2724, 267, 4358, 513, 1870, 949, 581, 13267, 547, 873, 269, 1411, 786, 4309, 513, 1900, 8386, 9912, 3391, 593, 875, 707, 1126, 666, 581, 606, 16724, 269, 4634, 952, 707, 1126, 568, 711, 5461, 538, 1870, 267, 621, 568, 1390, 547, 16616, 873, 547, 713, 1641, 547, 5000, 873, 547, 957, 593, 741, 2093, 563, 1692, 1705, 596, 6430, 593, 891, 2883, 7924, 3584, 888, 2005, 729, 1271, 585, 6931, 8124, 543, 594, 547, 4001, 1453, 519, 1686, 540, 2724, 267, 875, 621, 568, 1031, 267, 875, 547, 7118, 621, 267, 543, 1818, 621, 1332, 269, 634, 3483, 540, 713, 1433, 568, 585, 1453, 547, 723, 513, 2596, 1620, 540, 2724, 2094, 789, 786, 4383, 621, 538, 741, 2104, 269, 1284, 3769, 3756, 543, 2238, 865, 596, 786, 917, 875, 547, 1459, 519, 1344, 538, 513, 17159, 543, 1187, 6073, 563, 4322, 2883, 7924, 3584, 941, 1759, 593, 6931, 8124, 779, 543, 1250, 3450, 1995, 269, 594, 723, 1995, 538, 2870, 21195, 543, 17849, 936, 476, 1839, 3610, 547, 16616, 3214, 547, 1483, 10040, 10115, 267, 519, 6006, 2344, 267, 22343, 267, 9494, 267, 3092, 269, 769, 3105, 6009, 267, 594, 5280, 3214, 1376, 4213, 1141, 789, 1500, 2724, 563, 31690, 8124, 568, 519, 2883, 4274, 538, 938, 1920, 543, 814, 476, 2767, 1296, 1995, 538, 2883, 2533, 543, 3450, 3214, 827, 2724, 269, 1261, 543, 1250, 3237, 941, 1250, 1101, 3610, 593, 2883, 3584, 269, 6931, 8124, 568, 513, 5449, 4871, 9614, 267, 6006, 30549, 267, 3454, 2054, 626, 267, 1072, 6142, 11285, 267, 13931, 538, 1272, 3959, 543, 13680, 1399, 6142, 267, 20090, 267, 543, 18579, 540, 519, 2475, 9540, 6355, 10029, 24573, 584, 540, 519, 5729, 563, 1607, 1946, 594, 4280, 1864, 547, 1071, 2914, 1679, 519, 1433, 609, 803, 269, 594, 3972, 1010, 27790, 2523, 950, 621, 2501, 547, 2883, 3584, 269, 1261, 9516, 519, 3584, 543, 1543, 538, 519, 1433, 563, 3963, 568, 2883, 7924, 1271, 585, 6107, 888, 27144, 918, 12011, 657, 13403, 267, 519, 2278, 540, 6762, 667, 611, 18648, 667, 611, 1767, 950, 596, 616, 606, 2937, 707, 1867, 3556, 568, 707, 5491, 6060, 269, 901, 3948, 568, 1360, 3020, 269, 901, 568, 835, 2601, 1946, 3450, 3214, 2883, 7924, 568, 865, 1271, 269, 4495, 513, 1126, 3587, 606, 2937, 267, 7829, 2724, 3587, 17149, 563, 2005, 568, 1655, 547, 1118, 713, 1184, 4443, 585, 1453, 676, 20392, 873, 547, 2724, 3584, 1247, 789, 616, 1762, 269, 17546, 2659, 4132, 6168, 14559, 3414, 7591, 2982, 3237, 543, 3610, 875, 547, 9585, 713, 609, 2200, 789, 946, 3232, 563, 4131, 779, 1205, 938, 1453, 513, 2883, 2212, 1376, 543, 11441, 547, 2569, 519, 1297, 835, 2566, 538, 938, 2486, 2221, 267, 2724, 563, 763, 3883, 779, 17030, 454, 31690, 8124, 543, 594, 723, 1500, 621, 938, 5692, 547, 16616, 1453, 547, 2724, 3584, 538, 513, 1187, 1259, 269, 2060, 936, 476, 1789, 1296, 540, 5916, 1995, 538, 3450, 6107, 2883, 7924, 267, 649, 2285, 596, 513, 1101, 11804, 2070, 540, 875, 547, 1118, 2724, 513, 6643, 602, 568, 1187, 267, 2067, 267, 543, 4277, 2336, 1607, 568, 513, 1390, 1907, 585, 3237, 543, 7855, 540, 1453, 6502, 476, 275, 268, 1015, 2336, 1607, 1433, 2488, 519, 1739, 543, 865, 1454, 811, 7498, 1692, 547, 946, 1483, 8996, 2833, 547, 16616, 3214, 547, 2883, 7924, 454, 29222, 2238, 547, 6338, 20854, 543, 23021, 547, 2724, 6284, 563, 1692, 2724, 568, 1031, 538, 938, 2486, 1631, 543, 538, 519, 2250, 563, 26452, 2081, 602, 1004, 7118, 2724, 454, 30131, 4245, 538, 22343, 2724, 454, 763, 9238, 540, 12948, 454, 763, 3017, 1063, 513, 15668, 543, 10697, 454, 26452, 2010, 540, 7963, 543, 875, 621, 568, 1031, 454, 1692, 1004, 1902, 538, 7464, 24529, 454, 1692, 1004, 1902, 538, 519, 6006, 2344, 267, 7554, 267, 543, 8994, 7482, 454, 28275, 543, 5665, 513, 1870, 454, 298, 573, 6355, 14313, 454, 763, 3483, 540, 2348, 6142, 454, 2080, 568, 1548, 11524, 616, 590, 11691, 6168, 519, 3883, 454, 296, 2648, 602, 713, 1433, 3947, 1453, 606, 1620, 540, 2724, 543, 18083, 269, 3502, 1152, 1281, 621, 5490, 883, 2093, 602, 1118, 2724, 267, 855, 621, 11414, 519, 5013, 540, 2724, 282, 922, 3483, 267, 875, 547, 946, 2724, 607, 513, 1907, 547, 1332, 538, 782, 2127, 540, 938, 2729, 543, 824, 6472, 602, 948, 18645, 2883, 2208, 563, 296, 4121, 865, 1454, 689, 713, 1433, 269, 2290, 1469, 602, 12758, 609, 803, 729, 519, 1379, 540, 2324, 3965, 269, 9894, 596, 917, 602, 621, 568, 811, 1271, 982, 21842, 286, 1306, 2141, 267, 594, 1616, 547, 2671, 1018, 594 ]

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

[ 0, 25270, 815, 476, 17168, 1822, 454, 2335, 783, 19950, 31948, 815, 476, 271, 269, 273, 454, 14140, 318, 25270, 815, 3666, 454, 12294, 10734, 895, 815, 3666, 270, 1321, 454, 21639, 10734, 895, 815, 630, 25270, 2608, 16733, 272, 1341, 630, 2335, 783, 19950, 31948, 270, 1321, 4297, 1262, 1321, 4297, 270, 1321, 454, 6112, 6936, 912, 825, 3666, 815, 1101, 318, 25270, 454, 825, 10865, 28324, 618, 815, 630, 21639, 10734, 895, 1341, 2539, 10734, 895, 8358, 273, 454, 825, 585, 1775, 538, 2039, 630, 1321, 2187, 1038, 3666, 815, 3666, 910, 10865, 28324, 618, 454, 1038, 3923, 15517, 815, 3666, 2608, 630, 2335, 783, 19950, 31948, 270, 1321, 269, 271, 994, 1038, 3666, 815, 3666, 1341, 3923, 15517, 454, 825, 952, 3666, 10922, 476, 271, 543, 3666, 13843, 910, 271, 269, 272, 912, 1038, 2736, 454, 825, 8640, 3666, 3436, 476, 271, 912, 1038, 2539, 10734, 895, 815, 10865, 28324, 618, 454, 825, 3116, 912, 1038, 5580, 10734, 895, 815, 10865, 28324, 618, 454, 2745, 2891, 20181, 652, 32237, 281, 14307, 5180, 263, 24629, 569, 28324, 618, 267, 476, 273, 4917, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 8193, 281, 583, 325, 268, 279, 692, 258, 476, 5785, 32458, 9339, 8894, 258, 7711, 12041, 672, 2433, 7117, 21628, 9884, 836, 454, 258, 7711, 14630, 11434, 2433, 476, 1708, 271, 268, 1015, 268, 2420, 476, 1626, 281, 2767, 454, 258, 7711, 17572, 11434, 2433, 678, 19561, 583, 2812, 18258, 454, 258, 7711, 20373, 281, 2368, 1455, 2409, 4122, 1031, 454, 258, 476, 5785, 5785, 28598, 5814, 795, 5459, 454, 5814, 15259, 454, 5228, 2619, 12221, 1104, 11202, 454, 5814, 1016, 15263, 454, 5814, 1535, 6447, 269, 564, 872, 9950, 2211, 21698, 607, 21180, 692, 3698, 2638, 5091, 597, 5560, 597, 2187, 825, 5727, 29991, 2436, 519, 15682, 6818, 267, 952, 621, 1281, 711, 2291, 267, 1711, 519, 15682, 12163, 825, 952, 711, 15259, 29624, 20216, 1235, 5560, 597, 2187, 1038, 2119, 912, 2018, 15259, 6230, 8898, 15077, 5560, 597, 994, 1038, 4849, 11711, 2750, 1235, 13286, 912, 2018, 1820, 2891, 310, 27073, 5058, 281, 30615, 2907, 6818, 15419, 3698, 2638, 7272, 1861, 5091, 597, 6600, 32327, 2187, 825, 5727, 29991, 2436, 519, 15682, 1141, 519, 3758, 6818, 6818, 267, 952, 621, 1281, 711, 2291, 267, 1711, 519, 15682, 12163, 825, 2619, 815, 15259, 29624, 6155, 597, 4067, 6600, 32327, 994, 825, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 264, 543, 2619, 14714, 8692, 10031, 1038, 2119, 912, 2018, 15259, 6230, 8898, 15077, 9638, 987, 994, 1038, 4849, 11711, 2750, 1235, 13286, 912, 2018, 1820, 2891, 310, 27073, 5058, 281, 30615, 2907, 6818, 15419, 3698, 2638, 18316, 318, 1410, 626, 6600, 32327, 2187, 825, 5727, 29991, 2436, 519, 1267, 3758, 6818, 610, 711, 267, 14827, 519, 1982, 12163, 825, 952, 711, 15259, 29624, 18994, 12803, 6600, 32327, 2187, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1267, 3758, 1281, 711, 2291, 2433, 4939, 338, 257, 4939, 32197, 994, 1038, 14827, 263, 272, 2020, 3698, 2638, 5091, 597, 318, 1410, 626, 31114, 5091, 597, 2187, 825, 5727, 29991, 2436, 519, 1267, 15682, 6818, 610, 711, 267, 14827, 519, 1982, 12163, 825, 952, 711, 15259, 29624, 18994, 323, 597, 31114, 5091, 597, 2187, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1267, 15682, 1281, 711, 2291, 2433, 4939, 338, 257, 4939, 1267, 5091, 597, 994, 1038, 14827, 263, 272, 2020, 3698, 2638, 318, 24105, 5091, 597, 5560, 1311, 800, 2187, 825, 5727, 29991, 2436, 519, 15682, 8900, 610, 711, 267, 14827, 519, 1982, 952, 8900, 12163, 825, 952, 7003, 263, 657, 269, 4289, 323, 597, 5560, 1311, 800, 4297, 2652, 476, 271, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 15682, 568, 8900, 2433, 4939, 338, 257, 4939, 15682, 994, 1038, 14827, 263, 272, 2020, 3698, 2328, 18316, 6600, 32327, 267, 5569, 2187, 825, 5727, 2237, 5569, 547, 3758, 12163, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 535, 815, 1930, 6600, 32327, 267, 1412, 342, 3299, 17683, 8782, 583, 325, 268, 279, 5073, 825, 535, 22182, 30415, 994, 825, 535, 25379, 10797, 3698, 2328, 19553, 5459, 18316, 6600, 32327, 267, 1543, 18380, 2187, 825, 5727, 2237, 9598, 547, 3758, 12163, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 609, 1930, 6600, 32327, 267, 834, 342, 2580, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 795, 5459, 6155, 2794, 263, 20880, 18380, 267, 535, 2020, 3698, 2328, 8217, 18316, 6600, 32327, 267, 3758, 8217, 267, 694, 335, 8782, 315, 333, 262, 2187, 825, 5727, 2237, 1592, 547, 3758, 780, 825, 1488, 7714, 912, 1038, 32197, 19304, 2567, 19540, 503, 24731, 7511, 24757, 10524, 370, 3248, 1038, 3758, 8217, 17338, 2567, 24757, 10524, 370, 28578, 23989, 3248, 1038, 694, 335, 19304, 2567, 26166, 421, 504, 498, 31033, 267, 421, 375, 502, 18777, 353, 29004, 351, 27310, 262, 315, 333, 262, 780, 825, 8173, 825, 952, 15259, 29624, 20216, 1235, 6600, 32327, 2187, 1038, 15259, 31927, 6600, 32327, 994, 825, 2638, 7272, 1861, 5091, 597, 6600, 32327, 994, 825, 535, 815, 1930, 6600, 32327, 267, 1412, 320, 3299, 17683, 8782, 583, 325, 268, 279, 5073, 825, 585, 1775, 267, 1899, 538, 26246, 31526, 8217, 2187, 1038, 1948, 476, 31006, 12571, 492, 13601, 421, 350, 373, 12571, 492, 30837, 351, 21251, 20693, 510, 26166, 421, 504, 498, 31033, 454, 1038, 952, 1775, 2652, 7003, 31526, 8217, 264, 910, 476, 272, 912, 2018, 535, 22182, 263, 1467, 994, 1038, 3116, 912, 2018, 535, 22182, 263, 1467, 1341, 694, 335, 994, 825, 535, 25379, 10797, 3698, 1224, 18316, 6600, 32327, 2187, 825, 5727, 19530, 519, 3758, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 1543, 815, 535, 18667, 4590, 825, 1820, 2891, 763, 1535, 6447, 3758, 568, 2433, 4939, 338, 267, 1820, 519, 3758, 2433, 315, 333, 260, 338, 257, 4939, 630, 16344, 17575, 267, 1543, 11723, 3698, 1224, 19553, 5459, 18316, 6600, 32327, 2187, 825, 5727, 1348, 795, 5459, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 834, 337, 2580, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 1543, 18380, 815, 795, 5459, 269, 2903, 6600, 994, 825, 1948, 1820, 2891, 763, 795, 5459, 3758, 568, 2433, 4939, 338, 267, 1820, 519, 3758, 2433, 315, 333, 260, 338, 257, 4939, 630, 16344, 17575, 267, 1543, 18380, 4917, 825, 2132, 1543, 18380, 692, 3698, 1205, 18316, 318, 20880, 6600, 32327, 2187, 825, 5727, 19530, 519, 3758, 1543, 12163, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 1038, 2132, 535, 18667, 10797, 3698, 2196, 6262, 30113, 2187, 825, 2119, 912, 1038, 759, 815, 1016, 15263, 269, 14725, 6262, 30113, 267, 7387, 18989, 267, 2638, 18989, 994, 825, 4849, 1016, 15263, 5861, 6817, 31088, 13286, 607, 20093, 912, 1038, 1820, 3488, 2207, 305, 3036, 281, 3299, 20093, 994, 1038, 14827, 263, 272, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 637, 269, 16911, 994, 1038, 1820, 3488, 27987, 4567, 3009, 281, 22207, 759, 269, 8873, 13892, 2020, 3698, 2196, 318, 23719, 318, 1410, 527, 6262, 30113, 2187, 825, 2119, 912, 1038, 759, 815, 1016, 15263, 269, 14725, 6262, 30113, 267, 7387, 18989, 267, 2638, 18989, 994, 825, 4849, 1016, 15263, 5861, 6817, 31088, 13286, 607, 20093, 912, 1038, 1820, 3488, 310, 27073, 5058, 281, 3299, 20093, 994, 1038, 1948, 1410, 527, 263, 272, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 637, 269, 16911, 994, 1038, 1820, 3488, 27987, 4567, 3009, 281, 22207, 759, 269, 8873, 13892, 2020, 3698, 1205, 318, 13548, 18316, 9638, 987, 2676, 4449, 567, 24909, 284, 9131, 339, 604, 3299, 1412, 19112, 3299, 1412, 339, 858, 3299, 1412, 2316, 293, 3299, 1412, 8379, 294, 3299, 1412, 2316, 13697, 11172, 2676, 4449, 567, 3239, 25292, 8782, 718, 262, 2187, 825, 5727, 8266, 782, 6119, 1369, 513, 15682, 609, 519, 2016, 24909, 563, 8931, 825, 1488, 7714, 912, 1038, 2619, 630, 1598, 2567, 11711, 2619, 563, 1038, 24909, 630, 4289, 2567, 11711, 21879, 1592, 563, 1038, 3239, 25292, 630, 1598, 2567, 12005, 1826, 538, 18358, 718, 3299, 1412, 916, 338, 3299, 1412, 3966, 3299, 1412, 1091, 332, 28710, 9949, 1412, 718, 262, 780, 825, 8173, 825, 708, 326, 6958, 3796, 815, 11713, 825, 585, 970, 538, 24909, 912, 1038, 3758, 6958, 895, 815, 11202, 9638, 987, 1040, 6921, 984, 3488, 1262, 270, 29688, 24001, 8339, 8971, 263, 2169, 4917, 1038, 585, 535, 538, 3758, 6958, 895, 912, 2018, 535, 23919, 815, 1193, 6600, 994, 2018, 535, 333, 815, 15259, 29624, 12500, 553, 17575, 6600, 23919, 994, 2018, 952, 535, 23919, 711, 538, 708, 326, 6958, 3796, 912, 3546, 952, 535, 333, 31573, 14061, 11034, 1873, 603, 3488, 321, 329, 274, 10807, 610, 535, 333, 31573, 14061, 11034, 1873, 603, 3488, 28256, 1255, 520, 262, 2187, 7386, 952, 535, 333, 269, 1742, 5976, 3488, 321, 4900, 518, 6745, 604, 262, 2187, 13376, 3136, 454, 3546, 952, 3239, 25292, 2652, 1412, 718, 9166, 476, 1948, 782, 2592, 1336, 563, 7386, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 916, 338, 9166, 476, 1948, 3818, 1606, 1051, 1537, 2592, 563, 7386, 952, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 325, 822, 332, 318, 3299, 1412, 318, 332, 5060, 318, 3299, 1412, 300, 308, 311, 3299, 1412, 318, 5960, 318, 3299, 1412, 5960, 306, 3299, 1412, 300, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 3966, 9166, 476, 1948, 3818, 1606, 1051, 1537, 2592, 563, 7386, 952, 535, 333, 269, 11034, 1873, 603, 3488, 24427, 278, 262, 2187, 13376, 952, 1412, 318, 289, 310, 291, 318, 262, 514, 535, 333, 912, 23351, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 7386, 8640, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 333, 822, 335, 318, 3299, 1412, 318, 333, 611, 318, 3299, 1412, 2793, 291, 3299, 1412, 303, 3198, 3299, 1412, 318, 303, 318, 3299, 1412, 3966, 3299, 1412, 303, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 8640, 3239, 25292, 2652, 1412, 1091, 332, 9166, 476, 1948, 546, 8243, 3403, 2592, 563, 7386, 952, 535, 333, 269, 11034, 1873, 603, 3488, 306, 309, 262, 2187, 13376, 952, 535, 333, 269, 1742, 5976, 2891, 303, 3198, 272, 6745, 858, 8442, 610, 535, 333, 269, 1742, 5976, 2891, 303, 3198, 273, 6745, 858, 257, 2187, 23351, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 7386, 8640, 1022, 8443, 330, 538, 535, 333, 585, 737, 538, 18358, 333, 822, 335, 318, 3299, 1412, 318, 333, 611, 318, 3299, 1412, 2793, 291, 3299, 1412, 325, 822, 335, 318, 3299, 1412, 318, 325, 23424, 318, 3299, 21029, 293, 310, 291, 3299, 1412, 318, 293, 310, 291, 318, 3299, 1412, 318, 321, 23424, 318, 3299, 21029, 289, 310, 291, 3299, 1412, 318, 289, 310, 291, 318, 3299, 1412, 303, 273, 3008, 11172, 316, 2187, 13376, 708, 326, 6958, 3796, 6910, 6600, 23919, 994, 3546, 3116, 912, 7386, 6318, 28759, 2891, 13548, 25292, 1058, 581, 538, 18358, 718, 3299, 1412, 916, 338, 3299, 1412, 3966, 3299, 1412, 1091, 332, 11172, 23528, 825, 2132, 708, 326, 6958, 3796, 692, 3698, 1689, 318, 821, 13448, 6447, 3287, 6447, 12803, 2187, 825, 5727, 12163, 825, 2703, 815, 21180, 269, 27785, 3287, 6447, 12803, 994, 825, 3597, 815, 2703, 10947, 10174, 4590, 825, 1016, 272, 815, 3597, 26098, 3488, 18744, 305, 16412, 5073, 825, 1016, 272, 269, 3667, 815, 1412, 25152, 7055, 825, 2703, 22182, 3287, 6447, 12803, 994, 825, 1820, 3488, 1366, 734, 323, 821, 1366, 262, 9239, 3698, 1205, 318, 13548, 25292, 31526, 12173, 2187, 825, 5727, 297, 19276, 519, 3239, 1826, 2687, 547, 3758, 2012, 267, 2132, 2010, 1331, 1496, 3966, 267, 544, 1087, 267, 7183, 316, 12163, 825, 952, 3758, 12173, 269, 1742, 5976, 3488, 321, 4900, 518, 6745, 604, 262, 2187, 1038, 2132, 454, 825, 1948, 28859, 360, 502, 418, 503, 363, 12255, 29004, 362, 454, 825, 952, 3758, 12173, 269, 11034, 1873, 603, 3488, 306, 309, 262, 2187, 1038, 9041, 3966, 267, 9041, 916, 338, 815, 18358, 303, 272, 3299, 1412, 303, 273, 28710, 18358, 300, 272, 3299, 1412, 300, 273, 23300, 1038, 585, 1775, 538, 2039, 12759, 263, 318, 3966, 15892, 2018, 952, 3758 ]

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

[ 941, 2366, 538, 513, 12119, 22558, 540, 12897, 543, 4280, 593, 930, 24008, 267, 3238, 519, 971, 6905, 25315, 956, 563, 289, 565, 14746, 568, 544, 20293, 1633, 3758, 29717, 28130, 264, 835, 540, 873, 814, 20387, 547, 581, 8502, 543, 519, 2232, 945, 786, 1865, 713, 786, 8207, 7662, 540, 602, 2073, 5225, 2824, 519, 4647, 543, 513, 991, 1131, 7118, 28953, 676, 4180, 1010, 6360, 607, 2022, 267, 519, 12601, 28475, 289, 7495, 312, 568, 556, 12737, 539, 547, 1865, 513, 909, 3562, 15082, 1184, 568, 585, 713, 3028, 1265, 2219, 547, 1287, 1118, 4706, 1053, 1131, 8428, 623, 10998, 289, 646, 2966, 18796, 476, 1428, 3347, 562, 1405, 267, 1152, 5747, 602, 1010, 6240, 786, 3035, 2731, 476, 275, 547, 6338, 9411, 676, 519, 5836, 543, 9594, 3561, 538, 513, 2034, 7862, 269, 623, 4680, 542, 534, 513, 24140, 520, 549, 15642, 2297, 1642, 17650, 26915, 10016, 8145, 334, 5082, 7394, 29717, 645, 10008, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 296, 21112, 520, 257, 607, 851, 540, 834, 30311, 1315, 9099, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 2233, 1738, 320, 543, 1215, 898, 2052, 18748, 2974, 692, 5970, 596, 2479, 5433, 513, 8325, 267, 15246, 1928, 602, 6238, 538, 707, 2539, 1394, 543, 12599, 1524, 835, 540, 707, 7953, 286, 1403, 865, 267, 596, 1522, 723, 4810, 1414, 1738, 320, 256, 1809, 1018, 4010, 568, 1414, 1738, 320, 267, 543, 875, 1281, 621, 1860, 938, 4703, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 5331, 707, 12636, 607, 513, 10518, 540, 2679, 7161, 269, 1452, 7161, 267, 1572, 31175, 267, 2149, 519, 11983, 10260, 267, 799, 15920, 6835, 1063, 707, 2634, 543, 519, 1964, 540, 707, 1560, 269, 9737, 1142, 26485, 267, 972, 616, 1507, 267, 15074, 23752, 24302, 687, 1572, 954, 591, 974, 13887, 25923, 269, 1358, 957, 899, 8710, 4726, 1499, 267, 3850, 721, 547, 1847, 1472, 20354, 780, 3086, 267, 1577, 781, 2911, 827, 13285, 269, 715, 12883, 616, 899, 6263, 12904, 602, 4163, 5122, 6786, 2429, 938, 1560, 269, 2290, 1271, 8229, 568, 519, 1414, 1738, 8229, 1107, 519, 4102, 8229, 538, 938, 1560, 256, 898, 5956, 538, 519, 2539, 1394, 267, 8255, 998, 519, 25637, 267, 12765, 4169, 267, 543, 1524, 1312, 7953, 269, 1879, 3388, 1568, 1134, 267, 649, 1810, 1405, 1745, 1022, 9636, 267, 543, 649, 979, 827, 938, 1554, 25747, 269, 1717, 267, 2152, 666, 8451, 950, 1945, 12662, 2604, 593, 519, 1414, 1738, 8229, 780, 11767, 1414, 1738, 320, 269, 2233, 1738, 320, 4523, 950, 1945, 267, 1419, 513, 8697, 610, 4439, 3101, 954, 591, 974, 13887, 1167, 267, 2046, 525, 1996, 519, 1414, 1738, 8229, 269, 901, 2604, 666, 2014, 1928, 267, 32688, 267, 31018, 267, 610, 8467, 2059, 519, 2619, 540, 519, 8229, 1107, 3335, 1152, 7133, 835, 2427, 540, 519, 1560, 269, 2334, 781, 1946, 596, 1522, 1995, 602, 9490, 14815, 10707, 1524, 707, 1850, 2439, 2080, 781, 1141, 1919, 1205, 4277, 267, 2523, 952, 596, 917, 2576, 2713, 609, 2166, 10973, 27470, 269, 7261, 10973, 27470, 568, 513, 4719, 4524, 602, 5540, 519, 9641, 267, 9667, 1062, 267, 543, 824, 8219, 269, 2755, 1394, 1928, 543, 30273, 2042, 616, 3833, 1455, 1851, 1004, 609, 2166, 10973, 27470, 267, 561, 29856, 1167, 1200, 333, 2747, 1107, 519, 2564, 2165, 585, 513, 8697, 610, 4439, 3101, 1167, 1107, 18387, 1405, 1044, 4922, 4080, 538, 713, 1895, 2394, 1631, 780, 1103, 1249, 267, 3173, 5063, 3838, 2984, 827, 1614, 1762, 4079, 609, 2166, 10973, 27470, 945, 2919, 561, 29856, 1167, 1200, 333, 2747, 269, 1280, 891, 2043, 267, 519, 1200, 333, 7007, 1167, 2322, 3063, 2566, 593, 741, 2907, 7925, 9641, 267, 1818, 621, 2352, 585, 873, 547, 13236, 7184, 543, 2312, 856, 22024, 269, 1306, 513, 1267, 267, 789, 941, 811, 11630, 547, 5761, 5563, 780, 4407, 1414, 1738, 320, 3884, 1405, 12600, 547, 1346, 609, 2166, 10973, 27470, 267, 1620, 922, 1761, 1764, 593, 1585, 2694, 540, 938, 1560, 19595, 721, 540, 519, 2956, 540, 2921, 1416, 540, 6000, 269, 1635, 4509, 1434, 14302, 267, 16706, 5781, 267, 17666, 3615, 9108, 267, 543, 8026, 11005, 2553, 267, 649, 666, 2569, 519, 1981, 540, 3384, 1414, 1738, 320, 543, 1832, 938, 4703, 2635, 543, 2178, 780, 3383, 1985, 942, 596, 5873, 2576, 6158, 827, 1414, 1738, 320, 267, 2671, 707, 16012, 1702, 609, 873, 256, 1411, 1175, 1522, 948, 873, 1732, 1174, 741, 1378, 1560, 543, 8300, 873, 547, 1491, 5279, 540, 741, 1072, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 29856, 1167, 1200, 333, 2747, 538, 1614, 2550, 609, 2166, 10973, 27470, 281, 513, 2013, 3126, 454, 22711, 540, 6481, 8865, 18614, 4320, 476, 276, 267, 9137, 1297, 281, 476, 24496, 630, 1001, 272, 994, 2414, 4266, 267, 561, 29856, 1167, 1200, 333, 2747, 814, 711, 1044, 4080, 538, 519, 2796, 540, 2166, 10973, 27470, 1256, 1498, 1394, 1928, 543, 30273, 2042, 616, 1360, 1455, 538, 2550, 609, 2166, 10973, 27470, 563, 2171, 1867, 593, 1614, 2550, 609, 2166, 10973, 27470, 945, 4810, 561, 29856, 1167, 1200, 333, 2747, 538, 519, 1576, 540, 741, 2068, 693, 6502, 476, 866, 547, 476, 2641, 1296, 630, 320, 476, 2420, 4458, 6040, 24272, 22057, 812, 267, 513, 476, 2537, 4458, 6040, 24272, 22057, 812, 267, 543, 513, 476, 2641, 4458, 6040, 24272, 22057, 4807, 1040, 3776, 3791, 3461, 5555, 5747, 1317, 540, 1200, 14016, 730, 17422, 3510, 267, 799, 729, 6766, 676, 519, 561, 29856, 1167, 1200, 333, 2747, 607, 621, 729, 711, 2009, 585, 1200, 547, 1685, 17422, 12775, 2553, 5265, 1317, 540, 519, 1928, 563, 299, 29856, 1167, 1200, 333, 2747, 666, 1291, 547, 513, 30380, 4783, 585, 2550, 609, 2166, 10973, 27470, 607, 621, 949, 3895, 17422, 5563, 269, 901, 1867, 8711, 519, 991, 547, 8495, 2550, 7157, 563, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 857, 1738, 320, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 15302, 1299, 17148, 1315, 4053, 1529, 25063, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 17073, 32163, 725, 543, 17423, 10435, 692, 5331, 596, 2811, 693, 1753, 267, 4730, 707, 5172, 3381, 3014, 267, 589, 24128, 6181, 1742, 269, 22582, 267, 1945, 4422, 4636, 609, 707, 3014, 1107, 6148, 972, 781, 513, 17079, 4929, 707, 1915, 547, 9496, 796, 19055, 2406, 630, 1901, 343, 17691, 1313, 1993, 790, 1070, 610, 5310, 519, 12449, 1376, 9117, 9490, 269, 1411, 1223, 7227, 585, 2395, 2394, 519, 9367, 4368, 713, 3390, 998, 741, 8912, 5650, 630, 27087, 5004, 1040, 1809, 1018, 952, 713, 1966, 568, 1818, 621, 7543, 585, 596, 547, 2972, 519, 3014, 267, 543, 596, 1616, 621, 6378, 1318, 2476, 286, 901, 568, 1141, 834, 28770, 11765, 30332, 257, 2097, 883, 1404, 2439, 2304, 2878, 655, 1120, 1890, 5650, 1262, 568, 513, 1305, 540, 3268, 3144, 950, 513, 2565, 3510, 2115, 7525, 3007, 267, 899, 950, 707, 589, 24128, 6181, 1742, 11080, 1995, 568, 8297, 1441, 1813, 547, 6397, 2152, 269, 1452, 5773, 616, 1114, 689, 2834, 3283, 607, 789, 2154, 16190, 3527, 543, 1419, 4125, 1236, 6235, 930, 3044, 3268, 547, 8207, 519, 14849, 2339, 3533, 269, 1717, 267, 971, 3871, 1590, 581, 4686, 17756, 2864, 982, 1455, 20825, 780, 3086, 1577, 781, 1589, 827, 1776, 9183, 281, 4952, 596, 543, 707, 2828, 616, 11504, 513, 4832, 3786, 269, 3962, 1554, 267, 596, 782, 7119, 538, 1585, 2238, 899, 10977, 267, 19482, 267, 610, 13167, 269, 1677, 2327, 3025, 781, 3106, 1247, 3001, 1063, 891, 2621, 267, 8036, 24784, 13173, 596, 538, 2516, 1759, 593, 707, 6502, 269, 901, 1259, 267, 1022, 1761, 18002, 666, 581, 17411, 16425, 543, 3927, 676, 3743, 4079, 945, 917, 875, 1655, 547, 1416, 585, 596, 780, 1103, 1312, 7653, 267, 2348, 513, 2312, 1544, 543, 6616, 7247, 547, 2490, 547, 1282, 606, 6595, 2337, 2226, 1931, 543, 1265, 2656, 3435, 269, 898, 849, 11151, 11784, 543, 10539, 1851, 1346, 4299, 676, 519, 6727, 1689, 269, 1924, 2436, 621, 781, 21338, 513, 1350, 3558, 344, 3381, 3014, 610, 4180, 1453, 781, 8171, 693, 513, 3786, 267, 1620, 6595, 5773, 568, 1898, 780, 12244, 912, 13914, 540, 1614, 811, 1483, 3734, 3871, 1141, 2348, 606, 6595, 5650, 1522, 581, 2556, 269, 3503, 873, 1524, 2630, 267, 2059, 609, 519, 4128, 1946, 891, 5773, 1131, 948, 4383, 519, 6433, 1732, 780, 272, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 273, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 274, 269, 23084, 1693, 13090, 454, 3725, 1783, 281, 23084, 1693, 692, 8855, 267, 1373, 5423, 585, 6397, 3871, 2636, 721, 547, 2746, 9350, 569, 543, 7561, 950, 5185, 609, 2591, 269, 1635, 1565, 827, 6595, 5773, 1631, 267, 596, 786, 1020, 1271, 1983, 602, 786, 4324, 596, 2429, 707, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 5902, 22017, 2832, 15318, 1863, 454, 1607, 1184, 568, 1045, 12097, 952, 3339, 7827, 5004, 5773, 3112, 581, 4294, 1317, 606, 6595, 3340, 7525, 2962, 269, 769, 30085, 17691, 627, 10464, 540, 519, 2665, 267, 32238, 7902, 1369, 3670, 3275, 1310, 9668, 269, 13571, 1512, 18058, 6770, 6009, 267, 5989, 267, 543, 20848, 547, 27924, 753, 269, 5753, 616, 19882, 676, 2085, 543, 1118, 519, 3460, 547, 1142, 3786, 2534, 896, 519, 15569, 540, 1284, 11232, 24784, 269, 31349, 543, 1435, 326, 3818, 327, 871, 1863, 18572, 540, 1439, 30499, 4874, 2802, 22005, 28340, 910, 1723, 24406, 32644, 3289, 5766, 1564, 4646, 676, 7812, 15178, 30085, 17691, 627, 10464, 23071, 540, 631, 295, 19526, 519, 1071, 1790, 559, 582, 856, 540, 15483, 335, 527, 1287, 1835, 14414, 519, 7077, 538, 513, 12638, 25252, 8336, 267, 621, 814, 1044, 4080, 269, 674, 7037, 543, 17159, 3028, 2306, 585, 606, 11791, 10543, 269, 7313, 328, 267, 8835, 7670, 2255, 476, 273, 1100, 973, 11798, 11360, 620, 322, 27376, 9930, 328, 1019, 2531, 514, 1470, 2097, 530, 1731, 850, 6545, 269, 2052, 10399, 2014, 519, 9667, 1184, 547, 3500, 543, 3976, 2014, 1250, 30085, 17691, 1313, 1993, 790, 594, 723, 942, 9212, 9411, 538, 9185, 602, 594, 991, 547, 5173, 798, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 2078, 1063, 22030, 267, 2022, 24645, 3069, 267, 543, 519, 6214, 540, 7499, 2504, 543, 23425, 269, 1284, 786, 1445, 593, 519, 2833, 540, 5159, 543, 2686, 12696, 689, 19497, 32519, 6082, 267, 3226, 17111, 267, 607, 789, 6330, 741, 2197, 781, 3140, 23543, 1247, 20678, 547, 3715, 513, 3982, 3084, 3961, 1369, 519, 2518, 6575, 6429, 269, 1635, 6313, 519, 960, 540, 5640 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3047, 779, 7852, 540, 10047, 568, 21266, 1540, 476, 2537, 269, 275, 5232, 547, 922, 20771, 5163, 1472, 519, 6129, 630, 3467, 10502, 267, 922, 8095, 7852, 814, 513, 28550, 540, 476, 2537, 269, 275, 5232, 609, 2463, 547, 519, 7852, 540, 922, 10739, 1040, 901, 28550, 267, 799, 3123, 938, 12119, 7648, 267, 729, 2693, 519, 1267, 540, 513, 3032, 659, 569, 338, 6193, 1764, 602, 7018, 827, 476, 275, 269, 276, 5479, 1296, 3516, 1063, 519, 3047, 543, 1776, 1804, 1560, 799, 4440, 849, 8507, 538, 519, 5250, 540, 519, 7599, 269, 6270, 513, 1804, 28550, 568, 2219, 538, 2489, 547, 1267, 689, 513, 2178, 5872, 1063, 3615, 899, 519, 16580, 602, 4646, 519, 7599, 269, 25578, 849, 8095, 267, 543, 741, 8095, 17887, 666, 849, 581, 21266, 1540, 609, 2463, 547, 519, 25057, 540, 741, 10785, 269, 769, 519, 2013, 540, 938, 6129, 267, 799, 30809, 10199, 2899, 1169, 8938, 19317, 2395, 267, 922, 28550, 568, 1152, 476, 278, 269, 1839, 5232, 267, 543, 865, 649, 2760, 1205, 513, 1360, 1434, 1413, 693, 922, 5087, 610, 5045, 18635, 269, 13562, 12002, 18505, 4061, 602, 519, 6129, 2760, 1185, 513, 15779, 7237, 609, 1776, 5182, 630, 520, 2547, 711, 2094, 922, 19236, 1062, 4646, 267, 543, 693, 2547, 711, 609, 513, 6727, 16580, 1916, 763, 28550, 540, 513, 5182, 779, 8095, 568, 15069, 606, 1271, 4183, 267, 855, 6616, 621, 1101, 3340, 6616, 519, 10739, 540, 922, 10785, 269, 2290, 5863, 543, 694, 16781, 760, 527, 748, 1267, 540, 519, 3223, 16980, 5692, 543, 922, 3532, 2702, 547, 1265, 1098, 1746, 10785, 568, 922, 2702, 1107, 676, 1915, 1944, 19236, 1949, 1107, 547, 2232, 519, 3390, 540, 24974, 21266, 1206, 269, 853, 15362, 21266, 1206, 6027, 865, 2484, 538, 608, 26979, 8767, 1949, 4159, 513, 9670, 4763, 267, 689, 1360, 1507, 2418, 899, 938, 6129, 779, 547, 9244, 21266, 1540, 6801, 267, 543, 1256, 930, 968, 4958, 5766, 8565, 892, 6801, 4171, 4287, 540, 10047, 568, 6587, 547, 519, 19236, 20771, 4838, 269, 1452, 6801, 849, 4755, 547, 581, 10169, 1762, 282, 8197, 1034, 540, 519, 6801, 16475, 10785, 538, 519, 3223, 16980, 1982, 723, 711, 7960, 2250, 519, 7250, 8781, 3942, 540, 741, 2729, 269, 20290, 782, 540, 519, 21266, 1540, 6801, 3984, 3905, 808, 1575, 527, 619, 1765, 17839, 1115, 827, 519, 2527, 540, 18347, 630, 7474, 568, 267, 1804, 10785, 264, 855, 602, 10739, 1360, 2673, 547, 519, 5182, 543, 865, 616, 3905, 269, 634, 2647, 2039, 540, 4767, 21266, 1206, 5267, 602, 789, 21256, 711, 689, 513, 3044, 6727, 16580, 267, 855, 2864, 689, 930, 811, 6946, 1184, 602, 3560, 338, 513, 3339, 18347, 689, 922, 10739, 2484, 856, 630, 553, 538, 938, 3859, 1062, 264, 547, 606, 10739, 1360, 2673, 547, 519, 5182, 269, 0, 763, 26467, 1410, 717, 580, 553, 568, 519, 4102, 12377, 538, 1686, 267, 799, 568, 1946, 621, 729, 1572, 717, 580, 553, 269, 898, 568, 849, 1634, 607, 519, 8061, 559, 781, 6426, 1317, 540, 513, 1360, 8966, 2407, 22240, 17855, 540, 519, 26881, 267, 543, 519, 10828, 4478, 922, 5137, 563, 763, 11308, 6227, 616, 16463, 12641, 611, 543, 18674, 609, 4496, 610, 23788, 269, 634, 1433, 781, 7516, 616, 476, 10844, 4699, 1164, 267, 476, 2004, 4699, 2647, 543, 476, 2420, 4699, 5394, 799, 2838, 476, 8182, 1810, 4486, 2960, 585, 922, 1570, 269, 634, 1433, 22179, 3592, 476, 4037, 4846, 269, 898, 5161, 540, 476, 17168, 533, 1105, 906, 267, 540, 799, 5216, 616, 7508, 269, 898, 568, 7164, 945, 6569, 519, 3817, 610, 585, 1018, 3483, 267, 855, 621, 4667, 2693, 602, 789, 8659, 519, 31409, 710, 1395, 2880, 3652, 269, 634, 2278, 540, 519, 8943, 568, 711, 5018, 269, 7439, 568, 1010, 2601, 610, 3483, 1634, 269, 18753, 23607, 5815, 602, 519, 26467, 1410, 729, 2854, 676, 513, 2582, 1268, 267, 945, 13991, 476, 736, 547, 476, 3374, 1296, 540, 1010, 1272, 547, 1711, 713, 960, 269, 634, 26467, 1410, 729, 2854, 538, 519, 31409, 710, 5572, 540, 23093, 331, 1794, 823, 269, 634, 2063, 14261, 540, 519, 8943, 568, 689, 476, 14338, 280, 563, 763, 8943, 2882, 1082, 3909, 5931, 269, 634, 2898, 6196, 11620, 267, 1772, 573, 648, 781, 834, 292, 22029, 257, 540, 1530, 6807, 267, 9478, 4469, 822, 3780, 262, 4165, 19891, 919, 7225, 24191, 2801, 267, 26285, 826, 781, 4425, 1335, 1014, 20048, 1834, 267, 1585, 3594, 267, 2984, 543, 552, 1399, 332, 3098, 267, 17550, 267, 513, 19701, 267, 513, 17048, 609, 28986, 543, 1082, 824, 269, 634, 1257, 568, 2854, 538, 5824, 543, 3568, 1082, 10477, 12383, 563, 288, 7242, 27788, 519, 8943, 269, 4340, 547, 713, 7242, 267, 513, 31494, 729, 26722, 543, 729, 547, 581, 12617, 9800, 269, 634, 31494, 4280, 547, 581, 5950, 689, 1010, 24235, 543, 16219, 538, 2132, 585, 835, 3781, 547, 2328, 513, 1433, 5627, 782, 519, 1702, 540, 8103, 269, 14033, 28813, 267, 646, 2968, 2386, 602, 646, 1223, 711, 2347, 713, 4305, 4805, 865, 646, 1500, 513, 2027, 11755, 269, 3973, 519, 26881, 7902, 543, 519, 31494, 4421, 1010, 9997, 269, 634, 26881, 6192, 519, 12377, 543, 519, 31494, 3773, 519, 26881, 781, 4605, 856, 540, 14696, 585, 1010, 5351, 269, 769, 4255, 547, 30712, 519, 960, 267, 621, 568, 6059, 602, 10063, 1424, 1152, 519, 30951, 267, 1510, 519, 12383, 610, 30996, 880, 906, 267, 1131, 723, 3144, 8938, 1296, 540, 1875, 3613, 641, 1603, 269, 0, 9223, 689, 4147, 476, 1015, 3848, 10803, 454, 299, 1933, 532, 8935, 23336, 301, 583, 8827, 585, 596, 454, 278, 269, 276, 918, 266, 5784, 1923, 476, 4366, 269, 278, 918, 266, 1004, 899, 713, 454, 18704, 901, 11473, 454, 274, 269, 272, 918, 266, 14358, 1923, 476, 274, 269, 279, 918, 266, 700, 10105, 454, 277, 269, 277, 918, 266, 14358, 1923, 476, 3451, 269, 274, 918, 266, 700, 10105, 454, 273, 269, 280, 918, 266, 14358, 1923, 476, 1724, 269, 277, 918, 266, 700, 10105, 454, 278, 269, 273, 918, 266, 14358, 1923, 476, 4391, 269, 275, 918, 266, 700, 10105, 454, 280, 269, 276, 918, 266, 14358, 1923, 476, 1839, 269, 279, 918, 266, 700, 10105, 454, 4968, 266, 14358, 1923, 476, 5392, 269, 275, 918, 266, 700, 10105, 454, 4968, 266, 14358, 1923, 476, 275, 269, 277, 918, 266, 700, 10105, 454, 4097, 269, 273, 918, 266, 14358, 1923, 476, 8099, 269, 274, 918, 266, 700, 10105, 454, 10384, 266, 14358, 1923, 476, 276, 269, 271, 918, 266, 700, 10105, 454, 1839, 269, 275, 918, 266, 14358, 1923, 476, 4391, 269, 279, 918, 266, 700, 10105, 454, 278, 269, 276, 918, 266, 14358, 1923, 476, 3953, 269, 279, 918, 266, 700, 10105, 454, 2412, 269, 274, 918, 266, 14358, 1923, 476, 4375, 269, 273, 918, 266, 700, 10105, 454, 866, 269, 274, 918, 266, 14358, 1923, 476, 8064, 269, 274, 918, 266, 700, 10105, 454, 1220, 266, 14358, 1923, 476, 1220, 266, 700, 10105, 454, 1220, 266, 14358, 1923, 476, 1015, 269, 273, 918, 266, 700, 10105, 454, 30238, 18248, 5403, 454, 2975, 10345, 4604, 476, 1708, 271, 1362, 476, 1015, 21038, 585, 782, 1292, 5396, 269, 6744, 594, 17698, 1362, 476, 1015, 21038, 1519, 782, 1271, 3584, 267, 981, 4806, 543, 16287, 10325, 563, 2975, 10345, 8274, 476, 1708, 271, 1362, 476, 1015, 11400, 786, 581, 4371, 689, 4924, 476, 2767, 547, 3057, 476, 1789, 269, 5700, 827, 519, 594, 17698, 4266, 6656, 267, 16153, 3556, 267, 1267, 1299, 824, 1271, 1344, 563, 16810, 4604, 981, 476, 1708, 271, 568, 2253, 689, 476, 1240, 5988, 269, 24505, 4604, 981, 476, 1708, 271, 4147, 476, 1015, 1299, 476, 1321, 1053, 666, 2638, 1934, 1271, 1344, 1354, 519, 981, 563, 290, 18778, 4604, 476, 1708, 271, 2063, 8792, 981, 4388, 547, 5386, 2389, 2317, 707, 2773, 543, 5818, 707, 6015, 269, 5700, 811, 593, 875, 547, 581, 811, 2500, 538, 519, 981, 563, 297, 7417, 1292, 32414, 476, 1708, 271, 3239, 15494, 3095, 1500, 2661, 269, 5700, 3268, 547, 1118, 3239, 15494, 538, 808, 7417, 1292, 3498, 1106, 543, 917, 827, 3239, 16551, 563, 300, 1695, 541, 30773, 4604, 814, 5950, 15101, 290, 476, 1708, 271, 981, 4626, 564, 762, 585, 1362, 476, 1321, 269, 5700, 9049, 7034, 9391, 292, 981, 4806, 267, 7041, 4388, 543, 824, 1271, 3877, 563, 1432, 649, 2907, 4121, 538, 1362, 26577, 454, 1432, 649, 786, 1451, 454, 19686, 547, 12433, 6399, 676, 1463, 1505, 454, 19686, 547, 5173, 6399, 676, 2110, 24408, 1505, 454, 19686, 547, 5173, 6399, 676, 5153, 5937, 5271, 2747, 1505, 454, 6635, 10379, 1611, 540, 513, 6024, 4908, 3892, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 1463, 1505, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 10374, 12827, 1505, 454, 8340, 519, 1611, 540, 519, 1739, 3892, 676, 5153, 5937, 5271, 2747, 6396, 454, 1432, 568, 2405, 1014, 7790, 1215, 798, 649, 5173, 621, 15017, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 1612, 536, 6062, 269, 8347, 621, 1631, 563, 6781, 2312, 737, 732, 514, 3284, 928, 22027, 29243, 1952, 1612, 536, 6062, 269, 7442, 3534, 6049, 1297, 11578, 737, 732, 514, 563, 295, 584, 2001, 8627, 2806, 513, 777, 29243, 1952, 890, 3435, 533, 12711, 521, 752, 974, 344, 554, 267, 1208, 513, 777, 14150, 5048, 737, 13873, 613, 563, 295, 584, 2001, 8627, 2806, 513, 777, 29243, 1952, 890, 3435, 533, 12711, 521, 752, 974, 344, 554, 267, 1208, 513, 777, 14150, 533, 532, 737, 13873, 613, 454, 303, 8008, 8085, 2752, 8863, 4338, 307, 8991, 15760, 14160, 19798, 2433, 0, 763, 3014, 568, 5129, 782, 936, 519, 2197, 538, 782, 519, 2829, 269, 3127, 729, 519, 1158, 22299, 538, 19735, 585, 1082, 1296, 269, 670, 15736, 814, 1631, 1831, 2442, 538, 1082, 2477, 563, 15675, 8525, 670, 15736, 4828, 670, 15736, 568, 606, 9205, 3014, 5129, 1210, 554, 10541, 16853, 1063, 1079, 6887, 2348, 22221, 5716, 538, 1142, 676, 1739, 3652, 543, 6042, 538, 1931, 547, 3094, 610, 14710, 824, 2319, 563, 16524, 543, 10374, 4828, 593, 670, 15736, 538, 2296, 1284, 723, 3177, 2630, 1585, 2110, 543, 1279, 1557, 593, 19735, 3014, 896, 1585, 1913, 3970, 547, 948, 1053, 540, 5049, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 3092, 563, 32487, 610, 9433, 1603, 723, 1044, 835, 540, 519, 1455, 2994, 4553, 676, 519, 3610, 547, 3986, 1603, 5578, 543, 1702, 540, 2875, 827, 1022, 1888, 269, 2353, 519, 19735, 1557, 3177, 2630, 616, 2854, 538, 2653, 1913, 543, 2241, 5220, 563, 3383, 267, 1053, 666, 2824, 1022, 540, 519, 3594, 2016, 2630, 2687, 547, 741, 991, 543, 10421, 281, 670, 15736, 4828, 476, 272, 1913, 670, 15736, 568, 513, 3084, 3014, 540, 3127, 2705, 5129, 782, 936, 519, 2197, 563, 2005, 568, 513, 3728, 3014, 5129, 1063, 1079, 6887, 1996, 1142, 824, 269, 3962, 2319, 814, 476, 1556, 5716, 269, 2353, 519, 5716, 2832, 547, 5734, 519, 3440, 538, 824, 2319, 2121, 538, 1931, 547, 1205, 811, 6060, 269, 3776, 2197, 814, 1044, 519, 1158, 22299, 540, 19735, 538, 543, 1185, 4465, 476, 277, 4154, 1199, 1023, 538, 519, 21396, 3756, 563, 763, 1974, 1063, 547, 568, 1634, 607, 519, 11344, 5736, 540, 4095, 19735, 269, 634, 13085, 4095, 19735, 5716, 814, 1500, 519, 2197, 865, 10583, 540, 873, 607, 789, 723, 4465, 21396, 3756, 585, 19735, 1082, 2053, 585, 3127, 269, 1358, 6785, 1134, 519, 9059, 540, 4730, 19735, 543, 4465, 519, 2295, 540, 3025, 563, 295, 15736, 4828, 476, 273, 1913, 670, 15736, 568, 513, 1034, 2442, 3014, 543, 1634, 607, 519, 3084, 3014, 540, 3127, 269, 29892, 621, 5781, 2640, 721, 538, 1082, 2081, 563, 347, 29670, 2991, 23247, 269, 1107, 634, 8834, 16189, 549, 9452, 1475, 5472, 1614, 3137, 4766, 4010, 519, 1482, 3069, 2443, 519, 1482, 1599, 689, 562, 547, 554, 267, 936, 519, 3003, 6389, 540, 2009, 2418, 540, 562, 269, 4935, 649, 1223, 4782, 589, 610, 645, 936, 595, 1152, 585, 4128, 824, 982, 519, 3069, 3294, 8198, 347, 295, 15736, 4828, 6201, 1475, 18814, 1076, 729, 856, 585, 519, 1554, 865, 649, 1185, 513, 12990, 8198, 18871, 2177, 307, 16898, 744, 7838, 19766, 3198, 312, 715, 8582, 10573, 289, 22929, 17020, 344, 568, 5129, 609, 513, 3440, 593, 513, 11176, 12334 ]

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

[ 0, 5814, 19523, 692, 5035, 8827, 24998, 2187, 825, 1219, 1265, 15171, 6312, 1181, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 15358, 568, 7183, 610, 7003, 25225, 264, 2999, 476, 274, 912, 2018, 2132, 8771, 454, 1038, 513, 274, 815, 910, 338, 903, 27982, 842, 454, 1038, 521, 815, 11713, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 316, 2999, 513, 274, 912, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 1247, 7003, 4433, 264, 3436, 476, 271, 543, 15358, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 316, 3436, 521, 15631, 272, 14158, 7386, 513, 274, 815, 521, 15631, 272, 2639, 7386, 1642, 521, 15631, 272, 2639, 2018, 521, 6910, 25225, 314, 6352, 25225, 264, 910, 1775, 910, 476, 272, 20285, 1038, 2132, 8771, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 26098, 15171, 6312, 1181, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 0, 5035, 8827, 24998, 2187, 825, 1219, 1265, 11514, 1952, 18193, 301, 13246, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 5903, 27776, 2639, 1038, 8173, 1038, 3803, 815, 11713, 1038, 585, 4994, 267, 1003, 538, 26246, 25225, 2187, 2018, 1775, 815, 2612, 16325, 264, 910, 476, 272, 454, 2018, 15358, 5157, 316, 815, 910, 11274, 25225, 5157, 20285, 1038, 585, 4994, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 27709, 316, 3436, 476, 271, 912, 3546, 3803, 6910, 263, 8161, 1341, 476, 272, 2020, 1038, 2132, 3803, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 26098, 11514, 1952, 18193, 301, 13246, 8443, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 8079, 0, 5035, 8827, 24998, 2187, 825, 1219, 7989, 1393, 4462, 1664, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 759, 815, 1305, 8443, 7481, 1038, 1582, 269, 3559, 704, 3488, 3299, 15358, 267, 759, 994, 1038, 759, 272, 815, 11713, 1038, 585, 561, 538, 759, 912, 2018, 10917, 815, 561, 21858, 263, 3299, 5073, 2018, 10917, 272, 815, 11713, 2018, 585, 1775, 538, 10917, 912, 3546, 952, 1775, 2652, 1412, 12466, 7386, 3136, 454, 3546, 10917, 272, 6910, 17301, 9217, 4917, 2018, 759, 272, 6910, 6025, 11391, 272, 994, 1038, 2132, 759, 272, 692, 825, 1219, 25961, 4311, 267, 1900, 267, 1305, 267, 759, 2187, 1038, 952, 7003, 263, 3553, 264, 2652, 476, 271, 912, 2018, 759, 14491, 263, 21163, 11468, 7481, 2018, 2132, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 3553, 15892, 2018, 10917, 815, 1900, 11468, 2639, 2018, 10917, 6834, 1412, 10086, 1341, 1193, 263, 3553, 5157, 7481, 2018, 1582, 269, 3559, 704, 6025, 11391, 267, 1305, 11468, 328, 316, 1341, 1305, 5157, 1341, 476, 272, 281, 3910, 759, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2253, 454, 825, 521, 815, 8827, 4590, 825, 1820, 521, 269, 11279, 1393, 4462, 1664, 8443, 268, 272, 16427, 272, 267, 274, 8079, 0, 258, 28702, 2006, 3014, 1477, 5814, 4351, 1477, 258, 5814, 532, 513, 4351, 1592, 540, 1913, 21506, 5228, 1913, 17572, 1104, 2262, 8217, 1477, 3698, 3014, 27182, 8029, 825, 13290, 284, 274, 1477, 825, 31665, 25716, 21506, 825, 31665, 318, 24393, 17342, 15947, 825, 31665, 29999, 17342, 15947, 825, 2262, 318, 1260, 921, 5406, 8782, 318, 262, 265, 6352, 27182, 3418, 825, 1820, 27182, 318, 1260, 921, 5406, 3418, 825, 1247, 476, 711, 31665, 543, 13290, 3436, 476, 271, 6769, 1038, 7058, 284, 6358, 3488, 10817, 612, 513, 4484, 610, 513, 2262, 2433, 262, 1040, 21639, 14052, 1038, 1948, 3832, 4242, 952, 7058, 567, 568, 2582, 4484, 476, 543, 568, 513, 9904, 1477, 1038, 952, 7003, 263, 29674, 264, 2525, 272, 610, 7003, 263, 29674, 264, 283, 6352, 27182, 264, 543, 7058, 18994, 10401, 28399, 2018, 1948, 3832, 4242, 952, 2262, 568, 2907, 31665, 1477, 2018, 952, 7058, 538, 31665, 318, 24393, 6769, 3546, 1820, 3488, 4131, 614, 568, 2907, 31665, 2433, 3299, 29674, 3418, 2018, 1948, 3832, 4242, 952, 7058, 568, 1318, 543, 813, 1742, 4484, 547, 31665, 5022, 1477, 2018, 8640, 7058, 711, 538, 2262, 6769, 3546, 1820, 3488, 10817, 612, 539, 4484, 568, 4636, 1412, 3418, 3546, 13290, 284, 339, 1845, 268, 272, 1477, 3546, 31665, 318, 24393, 6910, 263, 29674, 3418, 2018, 1948, 3832, 4242, 952, 7058, 568, 1318, 543, 813, 1742, 4484, 547, 31665, 5022, 1477, 2018, 3116, 6769, 3546, 1820, 2891, 12072, 31665, 568, 2953, 834, 3418, 3546, 31665, 318, 24393, 6910, 263, 29674, 3418, 3546, 2262, 318, 553, 8217, 284, 4289, 27182, 318, 1260, 921, 5406, 3418, 3546, 1948, 17541, 519, 31665, 4484, 538, 1697, 2990, 538, 519, 2262, 1477, 3546, 967, 823, 17342, 328, 585, 1775, 267, 4484, 538, 26246, 27182, 264, 952, 4484, 2652, 7058, 15947, 3546, 585, 4994, 538, 967, 823, 6769, 7386, 2262, 318, 553, 8217, 27709, 24557, 29674, 1477, 3546, 2262, 318, 1260, 921, 5406, 284, 5257, 269, 21860, 27182, 318, 553, 8217, 3418, 3546, 952, 834, 318, 257, 711, 538, 2262, 318, 1260, 921, 5406, 6769, 7386, 31665, 815, 6936, 1477, 1363, 1948, 3832, 4242, 952, 7058, 568, 513, 2262, 476, 543, 568, 513, 9904, 1477, 1038, 8640, 7003, 263, 29674, 264, 2525, 6352, 27182, 264, 543, 7058, 18994, 10401, 28399, 2018, 952, 7058, 538, 31665, 29999, 6769, 3546, 1820, 3488, 2704, 2819, 31665, 519, 1739, 2262, 2433, 3299, 29674, 3418, 2018, 8640, 7058, 256, 284, 2262, 6769, 3546, 1820, 3488, 29674, 539, 2262, 568, 4636, 2433, 20298, 3546, 31665, 29999, 6910, 263, 29674, 3418, 3546, 13290, 268, 284, 272, 1477, 2018, 3116, 6769, 3546, 1820, 3488, 10817, 612, 539, 2262, 568, 2953, 2433, 20298, 3546, 31665, 18989, 1477, 3546, 2262, 318, 1260, 921, 5406, 284, 5320, 1477, 1038, 1948, 604, 1775, 7058, 568, 4376, 3116, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 8253, 513, 4570, 7058, 2433, 1412, 3418, 2018, 1820, 2891, 4958, 787, 7058, 14744, 1038, 1820, 27182, 318, 1260, 921, 5406, 3418, 825, 952, 31665, 6769, 1038, 1820, 3488, 9767, 723, 1500, 513, 2953, 7058, 543, 4465, 519, 3014, 20298, 825, 3116, 6769, 1038, 1820, 3488, 9767, 723, 2196, 856, 540, 13290, 269, 634, 2262, 568, 22207, 5320, 476, 3418, 5897, 3698, 1292, 28399, 825, 2262, 815, 12690, 26716, 4069, 27182, 8217, 1040, 21639, 14052, 825, 1820, 3488, 299, 1115, 1404, 13793, 2006, 20298, 825, 3014, 27182, 3418, 825, 1404, 284, 6358, 3488, 2710, 596, 1616, 547, 3136, 281, 962, 21610, 262, 1040, 21639, 14052, 825, 952, 1404, 2525, 262, 312, 262, 6769, 11434, 3014, 27182, 3418, 1363, 1477, 1363, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 31476, 4449, 24541, 4449, 1477, 4449, 1477, 4449, 1477, 4449, 1477, 4449, 1477, 17264, 1477, 17264, 1477, 672, 0, 337, 25507, 9272, 2891, 10938, 519, 1297, 27363, 328, 284, 271, 454, 6112, 1775, 27045, 337, 912, 825, 795, 284, 271, 454, 825, 1247, 795, 27045, 328, 912, 1038, 1820, 9230, 328, 266, 272, 265, 272, 1070, 754, 6889, 19515, 1038, 795, 284, 329, 266, 273, 454, 825, 1775, 284, 328, 266, 272, 454, 825, 1820, 3890, 0, 328, 284, 271, 454, 329, 284, 276, 454, 6112, 1775, 283, 276, 912, 825, 1820, 2891, 834, 16732, 328, 265, 273, 1070, 754, 6889, 19515, 825, 737, 284, 271, 454, 825, 1247, 737, 283, 263, 329, 265, 273, 9984, 272, 912, 1038, 1820, 17347, 266, 272, 267, 754, 6889, 19515, 1038, 737, 23785, 272, 454, 825, 1820, 4590, 825, 795, 268, 284, 272, 454, 825, 1775, 23785, 272, 692 ]

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

[ 898, 1223, 581, 849, 5258, 883, 476, 1911, 1232, 22329, 543, 476, 1911, 271, 10101, 563, 2791, 4121, 930, 5013, 827, 11304, 267, 865, 1631, 1577, 781, 979, 547, 519, 11013, 269, 634, 11013, 568, 849, 513, 1770, 540, 2527, 269, 898, 568, 2877, 547, 11168, 602, 972, 616, 711, 1152, 835, 2186, 540, 11013, 269, 1548, 1281, 621, 1611, 286, 1280, 1383, 267, 972, 616, 849, 11013, 268, 4403, 269, 769, 713, 2376, 649, 616, 2469, 547, 547, 1445, 1152, 593, 11013, 2173, 817, 563, 763, 11013, 568, 1031, 538, 519, 15875, 543, 2136, 2276, 22232, 1949, 540, 7403, 269, 28900, 267, 713, 1770, 568, 538, 946, 849, 538, 1776, 1949, 269, 634, 3090, 540, 519, 11013, 568, 18470, 610, 968, 563, 763, 3486, 1285, 7546, 16632, 12251, 11013, 814, 1100, 10855, 4214, 269, 898, 568, 3160, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 2290, 1285, 7546, 16632, 12251, 11013, 1223, 581, 5258, 883, 476, 1626, 1285, 7546, 16632, 12251, 13728, 610, 476, 10384, 271, 9274, 563, 763, 1285, 7546, 16632, 12251, 11013, 729, 24451, 538, 519, 1284, 2074, 543, 21474, 2920, 476, 3422, 274, 269, 634, 4214, 540, 713, 1770, 729, 2854, 538, 1101, 3296, 540, 713, 957, 281, 968, 763, 13452, 610, 519, 25451, 4927, 581, 519, 1770, 540, 6482, 540, 3259, 543, 519, 11013, 610, 519, 11304, 4927, 581, 519, 1770, 540, 6482, 540, 2527, 676, 4704, 547, 799, 1022, 6482, 5473, 513, 6482, 540, 3259, 610, 2527, 4927, 581, 1500, 538, 519, 2136, 8003, 282, 543, 268, 630, 320, 264, 519, 13452, 4927, 581, 476, 271, 269, 280, 1691, 275, 25451, 4010, 282, 630, 321, 264, 519, 11013, 4927, 581, 476, 271, 269, 28526, 30020, 4391, 11304, 4010, 3034, 31628, 3749, 851, 568, 2907, 3297, 721, 269, 769, 1985, 851, 649, 786, 2995, 596, 875, 1454, 568, 476, 5325, 269, 5881, 4846, 547, 7273, 269, 3767, 596, 4121, 602, 476, 5325, 269, 5881, 4846, 815, 1535, 7273, 269, 1924, 621, 568, 1164, 942, 547, 917, 519, 2626, 269, 5620, 513, 1413, 912, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6550, 563, 2005, 568, 606, 4977, 1267, 540, 875, 1454, 476, 5325, 269, 5881, 4846, 547, 11013, 269, 1411, 666, 849, 5180, 621, 1055, 269, 2991, 24263, 1055, 707, 1267, 786, 581, 607, 1739, 281, 476, 5325, 269, 5881, 4846, 815, 476, 9818, 269, 4649, 275, 7273, 563, 2791, 917, 476, 5325, 269, 5881, 4846, 568, 875, 1082, 7273, 267, 865, 1577, 779, 1294, 875, 1082, 4846, 476, 5325, 269, 5881, 7273, 281, 476, 5325, 269, 5881, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 11917, 16227, 267, 538, 713, 2013, 596, 949, 849, 5180, 1055, 713, 1267, 269, 2991, 621, 707, 6364, 568, 607, 1739, 281, 476, 5325, 269, 5881, 18470, 815, 476, 271, 269, 3393, 4846, 338, 563, 2171, 616, 849, 2469, 547, 1397, 596, 476, 5325, 269, 5881, 4846, 547, 875, 1082, 6550, 543, 476, 5325, 269, 5881, 11013, 875, 1082, 4846, 4093, 538, 7515, 269, 2913, 779, 1294, 912, 2171, 1616, 547, 2253, 609, 513, 5750, 585, 875, 1454, 568, 476, 5325, 269, 5881, 4846, 3160, 547, 11013, 563, 347, 298, 559, 9999, 630, 11899, 10534, 303, 2432, 630, 331, 321, 10534, 303, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 10245, 19064, 2432, 1475, 298, 559, 9999, 1475, 298, 559, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 2008, 3086, 596, 4121, 875, 1082, 476, 5325, 269, 5881, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 5325, 269, 5881, 11013, 267, 865, 621, 568, 942, 547, 979, 547, 519, 476, 5325, 269, 5881, 4846, 547, 7273, 4542, 563, 2414, 6460, 476, 5325, 269, 5881, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 786, 1397, 596, 513, 4542, 538, 1079, 1114, 8747, 269, 2913, 779, 2253, 609, 519, 1101, 835, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6364, 538, 6550, 454, 763, 1101, 4528, 540, 513, 4542, 2285, 596, 519, 1034, 2953, 6364, 269, 6884, 1256, 519, 10545, 3017, 666, 581, 9645, 269, 1924, 952, 596, 991, 606, 3169, 1267, 910, 1101, 4542, 786, 581, 519, 1655, 3070, 547, 6460, 875, 1082, 6550, 616, 6697, 547, 476, 5325, 269, 5881, 11304, 563, 3383, 1847, 593, 547, 519, 1776, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 5325, 269, 5881, 11304, 538, 6550, 563, 763, 1776, 4528, 540, 513, 4542, 568, 1524, 2630, 267, 1413, 912, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 454, 2026, 596, 666, 1294, 267, 519, 2034, 4542, 568, 12863, 269, 898, 1223, 581, 1732, 3903, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 5325, 269, 5881, 11304, 547, 6550, 538, 3728, 1259, 267, 585, 3236, 267, 1282, 10918, 269, 1411, 1152, 723, 547, 3314, 602, 3803, 1267, 786, 581, 711, 865, 3169, 563, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 616, 2469, 547, 1118, 513, 7503, 540, 476, 5325, 269, 5881, 4846, 547, 7273, 649, 1616, 547, 1397, 596, 4443, 1259, 547, 917, 476, 5325, 269, 5881, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 917, 1018, 568, 476, 5325, 269, 5881, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 5325, 269, 5881, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 15612, 1807, 568, 606, 3498, 269, 20593, 614, 568, 1759, 593, 3476, 4528, 540, 513, 4542, 799, 649, 4951, 596, 1657, 269, 8729, 547, 476, 5325, 269, 5881, 4846, 11013, 9498, 596, 666, 3362, 6460, 476, 5325, 269, 5881, 4846, 547, 7273, 269, 3807, 4283, 1297, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 20412, 622, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 8755, 563, 3383, 1577, 779, 2119, 547, 5173, 476, 5325, 269, 5881, 4846, 883, 7273, 1210, 476, 5325, 269, 5881, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 5325, 269, 5881, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 6364, 281, 476, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 6550, 563, 2026, 596, 666, 1294, 267, 713, 476, 5325, 269, 5881, 4846, 5288, 7273, 9498, 568, 865, 3274, 547, 946, 563, 3086, 649, 666, 1847, 593, 547, 938, 8783, 1888, 910, 875, 547, 6460, 476, 5325, 269, 5881, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 616, 2469, 547, 2253, 476, 5325, 269, 5881, 11304, 11224, 547, 875, 1082, 6550, 7503, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 4977, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 519, 1267, 538, 6550, 454, 3383, 1018, 723, 596, 798, 547, 1451, 875, 1082, 6550, 3160, 547, 476, 5325, 269, 5881, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 1924, 476, 5325, 269, 5881, 11304, 568, 3160, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 563, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 3160, 476, 273, 269, 736, 269, 1924, 476, 5325, 269, 5881, 11304, 815, 476, 9818, 269, 4649, 275, 271, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 5325, 269, 5881, 4846, 4154, 538, 6550, 269, 1924, 476, 5325, 269, 5881, 4846, 3160, 547, 875, 1082, 7273, 286, 1656, 1586, 910, 9062, 476, 5325, 269, 5881, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 1924, 6697, 540, 476, 5325, 269, 5881, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 4010, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 563, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 3371, 568, 519, 6364, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 5325, 269, 5881, 11304, 476, 9818, 269, 4649, 275, 6550, 563, 3086, 649, 666, 1847, 593, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 519, 1267, 538, 6550, 454, 3383, 476, 5325, 269, 5881, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 723, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 5325, 269, 5881, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 269, 1924, 476, 5325, 269, 5881, 11304, 568, 3160, 476, 273, 269, 273, 6550, 563, 13014, 1776, 9819, 609, 946, 540, 713, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 5325, 269, 5881, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 6460, 910, 476, 5325, 269, 5881, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 9818, 269, 4649, 275, 6550, 540, 22229, 269, 1924, 476, 5325, 269, 5881, 4846, 547, 11013, 2527, 568, 4010, 476, 9818, 269, 4649, 275, 563, 2252, 596, 4121, 875, 1454, 568, 476, 5325, 269, 5881, 11304, 2597, 538, 6550, 543, 616, 2111, 547, 6460, 621, 609, 946, 540, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 891, 4093, 538, 12125, 563, 2171, 616, 3222, 602, 4093, 4843, 538, 12125, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 7515, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3362, 5635, 476, 5325, 269, 5881, 4846, 6697, 547, 7273, 2164, 563, 24375, 609, 513, 476, 5325, 269, 5881, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1413, 476, 5325, 269, 5881, 4846, 3160, 11013, 5750, 585, 519, 2034, 4528, 540, 513, 4542, 912, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 5325, 269, 5881, 11304, 11224, 6550, 267, 519, 2164, 616, 519, 1482, 269, 634, 8273, 2179, 519, 811, 9645, 3017, 269, 5901, 621, 538, 2247, 950, 596, 1616, 547, 798, 8273, 1297, 982, 476, 5325, 269, 5881, 13532, 6550, 7503, 563, 3086, 596, 917, 875, 547, 6460, 476, 5325, 269, 5881, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 3657, 596, 8049, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 5325, 269, 5881, 11304, 547, 6550, 543, 13728, 9819, 888, 2171, 1616, 547, 1397, 596, 875, 596, 666, 5173, 621, 2370, 676, 2370, 269, 2913, 779, 2253, 269, 1215, 1454, 568, 476, 5325, 269, 5881, 4846, 538, 7273, 543, 12063, 888, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 1297, 540, 13532, 267, 538, 713, 2013, 476, 5325, 269, 5881, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 5325, 269, 5881, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 9818, 269, 6507, 272, 6812, 277, 278, 2537, 275, 269, 2290, 11304, 568, 476, 273, 269, 14225, 25118, 7830, 6550, 563, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 563, 2414, 917, 875, 1454, 476, 5325, 269, 5881, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 3947, 476, 27628, 31256, 4572, 13728, 563, 3383, 3803, 6364, 568, 4010, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 898, 568, 849, 2009, 547, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 707, 1267, 568, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 563, 2026, 596, 666, 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 ]

[ 6769, 258, 825, 476, 272, 264, 3403, 2985, 1297, 3884, 1405, 513, 630, 12061, 24308, 264, 7857, 1477, 258, 610, 476, 273, 264, 3403, 2985, 1297, 568, 476, 271, 1477, 258, 610, 476, 274, 264, 3403, 2985, 1297, 568, 3152, 982, 2698, 1297, 540, 3817, 1477, 258, 610, 476, 275, 264, 3403, 2985, 1297, 585, 1439, 568, 1447, 982, 2985, 1297, 585, 4098, 1477, 6112, 711, 2985, 17484, 18994, 323, 13424, 3890, 610, 2985, 17484, 2525, 257, 271, 257, 1422, 1477, 8587, 610, 703, 263, 2457, 17484, 264, 3436, 2698, 303, 1137, 610, 703, 263, 2457, 17484, 264, 2999, 703, 263, 2457, 9359, 8029, 825, 20444, 326, 7901, 2891, 8923, 1683, 513, 4570, 2985, 1297, 1701, 267, 834, 8005, 3591, 10590, 3418, 825, 2985, 17484, 815, 4283, 7901, 2891, 11767, 519, 1297, 540, 519, 2063, 2985, 547, 946, 24333, 834, 8489, 547, 1439, 8119, 3418, 825, 952, 2985, 17484, 2525, 14085, 281, 1948, 14827, 593, 834, 290, 30327, 29177, 1038, 14827, 31476, 258, 1577, 519, 3593, 3442, 606, 3977, 3758, 2012, 1477, 16059, 17572, 11243, 815, 6119, 1511, 7901, 2891, 2580, 834, 24591, 519, 16013, 4364, 7300, 607, 29389, 267, 834, 29688, 23486, 14744, 6112, 3403, 17572, 11243, 2652, 3977, 17572, 11243, 281, 1948, 3112, 946, 1482, 3758, 607, 3403, 1477, 825, 20444, 326, 7901, 2891, 4692, 2254, 7670, 1679, 3312, 3758, 256, 2580, 834, 8923, 3442, 1776, 3758, 29389, 3418, 825, 3977, 17572, 11243, 815, 6119, 1511, 7901, 2891, 2580, 834, 24591, 519, 16013, 4364, 7300, 607, 29389, 267, 834, 29688, 23486, 14744, 604, 3977, 17572, 11243, 2652, 7183, 6769, 825, 14827, 3890, 1948, 14827, 593, 834, 290, 30327, 257, 5897, 258, 1224, 538, 3758, 267, 2328, 1007, 3758, 609, 16013, 4364, 2985, 2039, 543, 4688, 519, 1007, 3758, 1477, 16059, 14457, 815, 21584, 17572, 310, 31581, 14052, 258, 10208, 476, 272, 689, 13859, 1376, 2985, 1297, 547, 1205, 2953, 4994, 1871, 1477, 1721, 2985, 19617, 538, 2039, 17301, 263, 2457, 9359, 9984, 272, 267, 703, 263, 2457, 17484, 264, 8029, 825, 2985, 815, 3403, 17572, 10947, 17273, 263, 2457, 19617, 3418, 825, 3977, 14457, 14491, 17273, 263, 2457, 3418, 16059, 17572, 815, 3758, 263, 16059, 17572, 11243, 267, 834, 342, 321, 14744, 16059, 14457, 22182, 263, 16059, 17572, 3418, 16059, 17572, 25379, 14052, 0, 258, 476, 278, 269, 272, 2689, 5751, 24653, 18257, 1477, 1103, 1931, 547, 2196, 7157, 267, 713, 7097, 1101, 2115, 547, 1477, 2041, 5116, 538, 519, 3848, 476, 278, 834, 20797, 6119, 257, 17835, 23228, 263, 17572, 10092, 616, 4988, 538, 3296, 476, 278, 269, 273, 3418, 18257, 5897, 258, 3367, 513, 1257, 3758, 676, 8520, 532, 936, 1367, 3515, 1477, 3240, 22437, 655, 815, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 14744, 1721, 1899, 538, 1250, 22437, 655, 18667, 6050, 28399, 825, 1948, 2422, 513, 26893, 1310, 519, 1820, 3948, 282, 1477, 825, 1948, 3758, 2907, 3568, 1007, 1467, 3197, 1477, 825, 1820, 1899, 267, 1477, 3240, 22437, 655, 25379, 31476, 258, 7179, 930, 10145, 3515, 547, 5094, 519, 1079, 1806, 1477, 2745, 27719, 333, 14826, 257, 5897, 258, 2422, 834, 5976, 257, 547, 8850, 2673, 513, 3758, 950, 8737, 1477, 5976, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 8442, 607, 1250, 22437, 655, 6769, 825, 585, 1899, 538, 1250, 22437, 655, 18667, 6050, 28399, 1038, 1820, 1899, 267, 5897, 258, 3503, 519, 9115, 540, 835, 3758, 883, 1776, 267, 1899, 8386, 11060, 1477, 17763, 655, 1103, 815, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 14744, 17763, 655, 11073, 815, 1930, 2891, 16059, 17902, 2580, 834, 342, 14744, 1721, 1899, 538, 6648, 1103, 18667, 6050, 28399, 825, 6648, 11073, 22182, 263, 1467, 3418, 17763, 655, 1103, 25379, 14052, 17763, 655, 11073, 25379, 31476, 258, 19244, 519, 3105, 3635, 1210, 519, 834, 5976, 257, 20438, 1477, 258, 630, 1607, 786, 7670, 1679, 519, 3105, 3977, 3758, 269, 3418, 5976, 1930, 2891, 17763, 655, 17902, 2580, 834, 337, 8442, 607, 6648, 1103, 267, 1930, 2891, 16059, 17902, 2580, 834, 342, 8442, 607, 6648, 11073, 6769, 825, 585, 1899, 538, 6648, 1103, 18667, 6050, 28399, 1038, 6648, 11073, 22182, 263, 1467, 3418, 5897, 258, 2561, 754, 513, 1007, 1899, 547, 519, 1439, 540, 834, 16059, 17902, 29177, 258, 630, 23921, 547, 1376, 593, 513, 1007, 1899, 267, 865, 1039, 27719, 333, 257, 547, 519, 4098, 269, 3418, 5976, 1930, 2891, 16059, 17902, 2580, 834, 320, 8442, 607, 6648, 7343, 754, 6769, 825, 6648, 7343, 754, 22182, 19629, 333, 13295, 7475, 519, 688, 30884, 1701, 10142, 0, 258, 476, 278, 269, 274, 1164, 5334, 13990, 18258, 1477, 258, 3367, 538, 11483, 309, 1239, 5627, 4408, 543, 8464, 282, 4159, 513, 1164, 6060, 1592, 5897, 5814, 26417, 1477, 5814, 15259, 1477, 3240, 26073, 815, 834, 290, 281, 270, 18600, 5124, 14727, 6847, 2326, 270, 6637, 476, 278, 18025, 15462, 6119, 257, 5897, 14683, 306, 13990, 291, 1112, 815, 15079, 1477, 5976, 1930, 263, 657, 29624, 12459, 7765, 30044, 26073, 267, 834, 338, 13990, 27406, 19823, 834, 337, 321, 8442, 607, 1250, 17572, 6769, 825, 1250, 17572, 5649, 518, 815, 26417, 18667, 518, 30044, 17572, 3418, 825, 585, 2012, 267, 6060, 538, 1250, 17572, 5649, 518, 281, 1948, 1205, 1142, 2012, 270, 16557, 6292, 1477, 1038, 6060, 815, 703, 263, 16557, 264, 1948, 6460, 5569, 6060, 547, 8870, 1477, 1038, 952, 2012, 538, 1164, 306, 13990, 291, 1112, 281, 1948, 2907, 1185, 606, 7127, 585, 602, 2012, 1477, 2018, 952, 6060, 3436, 1164, 306, 13990, 291, 1112, 314, 4067, 13912, 1948, 1007, 6060, 568, 2362, 1477, 3546, 1164, 306, 13990, 291, 1112, 314, 4067, 316, 815, 6060, 1477, 1038, 3116, 281, 1948, 10093, 1405, 2938, 713, 2012, 2943, 282, 1039, 621, 547, 8675, 1477, 2018, 1164, 306, 13990, 291, 1112, 314, 4067, 316, 815, 6060, 1477, 17264, 1477, 1721, 2012, 538, 15044, 263, 14683, 306, 13990, 291, 1112, 8029, 825, 1820, 2012, 267, 1164, 306, 13990, 291, 1112, 314, 4067, 15947 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1419, 4611, 538, 513, 2530, 540, 1367, 2924, 269, 630, 14983, 264, 2372, 5875, 710, 10473, 941, 1419, 5667, 534, 3202, 543, 1875, 268, 3122, 850, 267, 4611, 538, 513, 3262, 540, 2068, 676, 16550, 1346, 945, 941, 7210, 547, 581, 538, 3346, 609, 1346, 945, 941, 2635, 269, 630, 5611, 264, 10705, 519, 9072, 540, 971, 27170, 1149, 941, 519, 2539, 5049, 267, 3226, 11082, 269, 630, 14681, 994, 289, 269, 2372, 5875, 710, 543, 25799, 7126, 454, 13750, 543, 5313, 6608, 616, 711, 2016, 606, 6207, 1318, 547, 18992, 547, 519, 946, 540, 741, 31741, 7060, 267, 607, 972, 616, 7687, 538, 1747, 269, 630, 13923, 264, 6270, 7687, 2154, 602, 519, 31741, 1590, 581, 834, 1492, 2547, 25516, 1797, 2556, 547, 2061, 519, 3262, 540, 513, 5906, 21380, 610, 11763, 2068, 1701, 630, 14631, 264, 901, 834, 548, 770, 25516, 1797, 1935, 257, 568, 22394, 543, 9247, 12651, 519, 3390, 540, 1018, 824, 2409, 1522, 2291, 547, 2270, 519, 16143, 3644, 267, 11735, 689, 27170, 1456, 2043, 16143, 540, 24954, 4598, 269, 630, 15150, 264, 1403, 519, 1367, 568, 711, 27170, 1441, 543, 26055, 513, 22125, 1016, 3118, 267, 971, 607, 538, 1715, 3840, 4975, 607, 3220, 269, 30621, 1975, 27247, 1705, 267, 519, 7872, 14340, 602, 519, 3644, 786, 3262, 3842, 513, 11522, 267, 14229, 324, 2763, 267, 610, 1086, 17508, 998, 13680, 3346, 269, 630, 14028, 264, 1548, 1223, 1267, 568, 519, 4098, 540, 513, 1804, 15435, 538, 519, 2136, 2276, 267, 835, 602, 1223, 1267, 538, 711, 1175, 519, 2530, 540, 3540, 23118, 540, 835, 267, 1079, 610, 4557, 2043, 267, 855, 519, 2347, 31741, 540, 10034, 610, 1256, 2829, 4470, 593, 519, 4336, 540, 519, 3262, 269, 630, 14444, 994, 18197, 2276, 3656, 1686, 2488, 15792, 2963, 10834, 602, 1857, 3106, 568, 513, 10862, 267, 1256, 952, 930, 2043, 1522, 6336, 930, 540, 741, 1367, 2924, 269, 630, 14991, 264, 634, 10966, 7040, 12199, 538, 15243, 5459, 602, 281, 834, 314, 339, 316, 515, 15698, 17956, 676, 519, 9139, 540, 519, 2136, 2276, 547, 1169, 1268, 1369, 922, 16278, 1281, 711, 1104, 606, 6207, 1318, 538, 1142, 1268, 547, 581, 267, 693, 782, 2053, 543, 538, 782, 6381, 267, 28025, 15685, 689, 27047, 842, 1701, 630, 15647, 264, 634, 15243, 5459, 7040, 3773, 602, 834, 314, 339, 316, 1877, 616, 32032, 27047, 6493, 547, 799, 1169, 1268, 568, 8209, 1641, 585, 519, 1455, 1434, 1701, 630, 14689, 264, 8616, 538, 5239, 476, 1001, 275, 267, 29237, 918, 659, 328, 670, 1157, 2135, 11130, 585, 1200, 5191, 950, 1352, 729, 1641, 547, 513, 16601, 31741, 538, 1715, 14948, 267, 5103, 27109, 1100, 2589, 540, 519, 2068, 269, 630, 8182, 264, 6145, 670, 1157, 2135, 267, 519, 27674, 858, 538, 1744, 4883, 1157, 1185, 14612, 13383, 547, 513, 2068, 8573, 5200, 2197, 267, 1141, 31847, 729, 19856, 656, 269, 630, 14065, 264, 6145, 670, 1157, 2135, 267, 1744, 4883, 1157, 17820, 1100, 2589, 540, 519, 2068, 950, 1352, 729, 7142, 883, 513, 16601, 31741, 269, 630, 14341, 264, 8616, 519, 5480, 538, 1744, 4883, 1157, 909, 18988, 519, 16601, 31741, 6466, 670, 1157, 2135, 729, 17212, 1386, 540, 1200, 16601, 31741, 689, 519, 19051, 9794, 945, 16363, 519, 31741, 547, 581, 11389, 32208, 269, 630, 14321, 264, 1306, 23576, 676, 15243, 5459, 267, 1744, 4883, 1157, 543, 1290, 18450, 267, 2136, 2276, 262, 10470, 723, 13840, 1044, 20916, 547, 3870, 519, 2530, 540, 1978, 1367, 2924, 538, 519, 12687, 540, 19856, 656, 27676, 11763, 3676, 269, 630, 13932, 264, 1306, 1279, 607, 31741, 13080, 616, 3261, 730, 1759, 593, 27496, 540, 519, 2068, 267, 1287, 971, 27170, 1149, 616, 519, 2547, 25516, 1797, 540, 7303, 519, 3262, 540, 2068, 269, 13679, 1773, 5593, 858, 1744, 4883, 1157, 729, 1641, 547, 513, 27552, 6377, 31741, 2094, 602, 729, 519, 1634, 29164, 1974, 540, 519, 31847, 3644, 693, 519, 942, 269, 630, 14917, 264, 6684, 267, 29237, 670, 1157, 2135, 729, 7620, 16271, 547, 513, 8938, 14633, 1554, 31741, 1317, 540, 519, 1634, 29164, 1974, 585, 519, 24954, 3644, 269, 630, 15757, 264, 634, 1249, 3788, 602, 28105, 19057, 540, 519, 24954, 3644, 723, 1044, 4857, 998, 3621, 2090, 267, 865, 519, 6881, 540, 606, 1367, 21945, 689, 606, 24954, 3613, 4459, 523, 3148, 1863, 540, 2589, 568, 711, 2614, 2601, 547, 2322, 519, 1857, 1072, 693, 1981, 269, 630, 12739, 264, 634, 6286, 540, 29237, 670, 1157, 2135, 781, 2487, 11802, 936, 31741, 949, 581, 602, 1533, 6608, 27464, 2476, 689, 519, 946, 540, 31741, 267, 1256, 2016, 3140, 18454, 269, 630, 15433, 994, 290, 269, 2136, 853, 730, 9701, 7427, 3624, 781, 7844, 540, 2372, 5875, 710, 454, 19770, 267, 899, 519, 2136, 2276, 267, 814, 513, 3638, 1686, 540, 2500, 3096, 540, 31741, 547, 2061, 519, 3262, 540, 2068, 267, 543, 538, 930, 2665, 267, 547, 30817, 2068, 269, 630, 10204, 264, 769, 1931, 547, 3247, 513, 3810, 11763, 2068, 899, 24954, 267, 519, 2136, 2276, 1058, 556, 3200, 547, 4505, 2013, 1876, 543, 3140, 1806, 540, 875, 824, 2477, 267, 5185, 609, 2147, 8623, 12515, 267, 941, 2111, 547, 3035, 519, 3791, 267, 543, 24903, 1034, 1271, 3804, 540, 519, 31741, 1876, 799, 568, 547, 834, 601, 574, 3729, 519, 6152, 257, 543, 30817, 519, 2068, 593, 513, 2199, 4336, 269, 630, 14378, 994, 4002, 2904, 476, 866, 267, 476, 1220, 275, 267, 519, 14959, 10294, 602, 16568, 814, 1044, 16701, 5344, 538, 3624, 269, 630, 15094, 264, 16568, 1185, 4505, 1044, 15810, 547, 581, 519, 1101, 12176, 540, 519, 8938, 23867, 2540, 547, 1267, 538, 606, 12473, 543, 29252, 1857, 1072, 9568, 269, 630, 15876, 264, 8550, 1354, 1185, 519, 2413, 1158, 2938, 971, 606, 15435, 269, 630, 14690, 264, 3624, 267, 9583, 16074, 267, 3710, 10506, 4481, 585, 27170, 1441, 2043, 543, 8704, 8611, 2638, 4812, 10473, 693, 1169, 1857, 3560, 1062, 538, 3210, 547, 519, 6433, 269, 630, 11260, 264, 10738, 3275, 267, 3624, 729, 2111, 547, 30817, 16568, 269, 630, 12293, 994, 2467, 616, 10486, 1063, 519, 27152, 6392, 12044, 31741, 6042, 538, 3624, 543, 538, 519, 2136, 2276, 269, 630, 10082, 264, 634, 1101, 9137, 540, 519, 3624, 13571, 1512, 2657, 4521, 2829, 519, 3483, 540, 31741, 3800, 568, 547, 834, 1729, 2149, 1480, 1072, 1701, 630, 9965, 264, 6684, 267, 519, 2136, 2276, 31741, 4031, 3343, 547, 834, 2181, 1203, 519, 4367, 267, 6771, 267, 610, 3262, 540, 3868, 762, 3676, 1701, 630, 9692, 264, 7073, 2257, 1100, 3476, 2306, 9591, 17062, 31741, 13080, 540, 4505, 5553, 606, 4781, 269, 630, 5197, 264, 4634, 835, 1554, 540, 11991, 1480, 30693, 568, 513, 18670, 540, 606, 1367, 781, 1318, 547, 7834, 543, 1223, 581, 16363, 796, 6247, 6627, 269, 630, 8687, 264, 1879, 28720, 31741, 267, 519, 1533, 610, 5313, 2229, 1590, 581, 2386, 547, 2308, 519, 2547, 25516, 1797, 602, 616, 1312, 10257, 543, 2556, 547, 2327, 519, 1857, 781, 1072, 543, 3106, 269, 630, 9264, 264, 4653, 267, 31741, 3259, 568, 18170, 676, 5013, 543, 23963, 8810, 1239, 5833, 998, 10480, 518, 958, 14102, 3906, 971, 607, 519, 15509, 610, 14959, 269, 630, 8146, 264, 634, 3390, 568, 711, 538, 27170, 1456, 1004, 267, 855, 538, 4259, 11389, 32208, 31741, 5712, 269, 630, 7277, 994, 15152, 519, 4457, 16568, 31741, 957, 267, 2043, 7283, 693, 31741, 6703, 543, 941, 8362, 16913, 585, 2947, 547, 5722, 2395, 267, 519, 3259, 540, 29164, 585, 1351, 7431, 8686, 6400, 269, 630, 6977, 264, 6684, 538, 519, 2136, 2276, 267, 31741, 13080, 585, 1346, 945, 12446, 689, 3644, 8573, 5200, 2127, 1590, 581, 8938, 14633, 2395, 267, 519, 1634, 29164, 1974, 585, 519, 24954, 3644, 269, 630, 5908, 264, 2372, 5875, 1456, 606, 1367, 693, 1164, 1981, 585, 606, 24954, 3968, 585, 8938, 14633, 2395, 5713, 513, 12242, 3483, 281, 585, 519, 1367, 267, 945, 11392, 3232, 1072, 1416, 6268, 799, 666, 2149, 741, 1378, 1072, 543, 2034, 569, 267, 607, 585, 519, 2489, 1857, 267, 945, 949, 581, 10710, 689, 4598, 547, 519, 3644, 269, 630, 6942, 264, 1403, 519, 1367, 568, 8659, 585, 1022, 1974, 1657, 8938, 14633, 2395, 1510, 6029, 1022, 2589, 267, 8066, 519, 1367, 568, 1100, 3476, 31741, 855, 26646, 269, 630, 6642, 264, 634, 3017, 1063, 31741, 543, 26646, 568, 24903, 2436, 610, 711, 519, 834, 548, 770, 25516, 1935, 257, 568, 8246, 1282, 519, 31741, 269, 630, 6245, 264, 19928, 5024, 2188, 602, 1058, 581, 8246, 950, 14045, 2436, 31741, 568, 2556, 1331, 6169, 676, 3621, 1239, 543, 5796, 689, 4966, 538, 519, 2361, 269, 630, 5002, 264, 1306, 1279, 607, 15424, 3800, 616, 7873, 19861, 676, 3621, 543, 2564, 4966, 267, 543, 607, 1279, 607, 519, 2797, 543, 3621, 2146, 960, 538, 10103, 547, 3970, 519, 4110, 540, 5191, 3144, 2476, 689, 16143, 2043, 1247, 21924, 519, 4324, 543, 3106, 547, 519, 1857, 693, 1804, 267, 1287, 519, 31741, 3800, 1831, 606, 17170, 1857, 4199, 269, 630, 4489, 264, 3624, 814, 8810, 713, 998, 1239, 6029, 513, 2185, 18881, 16701, 1709, 540, 513, 5732, 11451, 14042, 15435, 269, 630, 4572, 264, 3624, 267, 799, 814, 1044, 22309, 585, 9157, 3527, 1996, 1367, 23118, 1369, 922, 10665, 267, 8246, 31741, 13080, 1759, 2390, 519, 29164, 1974, 540, 519, 16568, 3644, 267, 538, 1840, 547, 4259, 909, 8611, 2638, 9557, 693, 7580, 4025, 543, 7366, 540, 2564, 4559, 547, 1521, 1346, 945, 941, 7210, 543, 2061, 873, 689, 10825, 519, 4576, 269, 630, 4350, 264, 1403, 3624, 1185, 711, 8246, 891, 2409, 267, 610, 952, 4457, 10470, 1185, 16363, 891, 2409, 1932, 11389, 32208, 267, 899, 519, 19051, 5480, 5063, 4371, 538, 670, 1157, 2135, 781, 2013, 267, 1287, 621, 568, 8969, 995, 602, 513, 2197, 609, 513, 2551, 540, 476, 272, 269, 274, 5479, 1004, 1223, 723, 15286, 16568, 689, 32117, 856, 540, 1852, 269, 630, 3707, 994, 763, 2136, 2276, 1058, 581, 811, 8348, 547, 1491, 2147, 3527, 607, 3624, 781, 1282, 519, 16568, 12176, 267, 2016, 602, 811, 24954, 2665, 1223, 8451, 538, 519, 2136, 2276, 952, 971, 2962, 568, 711, 3144, 269, 630, 4198, 264, 901, 568, 711, 547, 2161, 602, 519, 2136, 2276, 1058, 1246, 3624, 781, 1169, 4640, 267, 607, 3624, 781, 31741, 2409, 1223, 723, 1044, 20979, 971, 602, 519, 1297, 540, 2043, 27170, 1441, 1223, 723, 1044, 4389, 676, 24239, 3670, 2600, 269, 630, 3422, 264, 769, 1931, 547, 2569, 519, 1297, 540, 1346, 27170, 1441, 267, 4457, 8128, 1058, 723, 5059, 593, 2043, 945, 1185, 1044, 538, 3346, 609, 8362, 2192, 16568, 2550, 3079, 540, 9003, 2519, 741, 3646, 593, 519, 2489, 1857, 267, 799, 27648, 5176, 476, 272, 269, 274, 5479, 2043, 269, 630, 3192, 994, 4263, 519, 856, 3553, 540, 16568, 267, 3624, 729, 5185, 609, 513, 2068, 602, 729, 7164, 543, 922, 27496, 711, 6956, 538, 519, 3621, 2146, 267, 1454, 899, 519, 2136, 2276, 5185, 609, 519, 476, 1001, 275, 24954, 12176, 269, 630, 2735, 264, 3624, 3284, 11276, 6444, 602, 4352, 2564, 1344, 729, 17077, 543, 711, 4922, 6956, 267, 1018, 729, 1634, 729, 519, 3432, 693, 799, 519, 3644, 3262, 543, 922, 3170, 1275, 267, 4061, 3624, 7157, 8359, 547, 2746, 5612, 267, 2921, 3800, 547, 2061, 16568, 262, 3262, 543, 547, 2270, 519, 3644, 269, 630, 1960, 264, 3624, 8659, 519, 16568, 3644, 543, 5732, 10710, 6634, 540, 2729, 269, 630, 1220, 264, 634, 2136, 2276, 1058, 1451, 689, 3624, 602, 950, 6849, 2205, 12040, 267, 3362, 10141, 14456, 2068, 8623, 12515, 267, 513, 2197, 1590, 5612, 1445, 3646, 593, 5627, 519, 2068, 543, 7303, 2417, 3262, 269, 630, 1001, 994, 763, 2487, 3800, 3144, 538, 13280, 267, 513, 2197, 609, 513, 2551, 540, 8938, 14633, 2929, 1004, 2417, 12013, 1518, 519, 3407, 1761, 540, 2500, 13345, 540, 31741, 4031, 269, 630, 1708, 264, 2201, 5239, 476, 736, 267, 476, 1001, 275, 267, 14959, 10294, 13280, 1863, 540, 24954, 6771, 1310, 5176, 2185, 3275, 32626, 519, 3644, 269, 630, 10711, 264, 634, 642, 15501, 729, 11074, 1813, 547, 519, 7525, 4070, 540, 10072, 530, 1841, 267, 2147, 547, 3624, 781, 7525, 4070, 540, 16568, 1808, 31741, 10506, 543, 5464, 16143, 7783, 2043, 585, 519, 8938, 14633, 1554, 24954, 29164, 1974, 269, 630, 14225, 264, 14959, 17019, 519, 4457, 31741, 834, 24030, 569, 21022, 3255, 585, 2417, 6771, 257, 799, 12913, 519, 3483, 540, 31741, 269, 630, 13078, 264, 634, 2136, 2276, 1058, 1451, 689, 2477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14611, 9137, 12474, 454, 763, 6859, 540, 713, 1353, 941, 547, 3761, 5832, 2359, 267, 2042, 543, 3255, 540, 3761, 5832, 5388, 267, 3761, 5832, 1062, 540, 2146, 543, 13724, 1702, 519, 2804, 3761, 5832, 269, 634, 2164, 540, 713, 1353, 4951, 602, 634, 1034, 6705, 798, 533, 23098, 8105, 28111, 609, 3395, 5388, 543, 3662, 9393, 787, 269, 634, 3395, 10448, 585, 3548, 543, 9042, 563, 763, 2042, 543, 3255, 568, 713, 1858, 711, 814, 12555, 585, 946, 547, 3395, 5388, 543, 20548, 12198, 593, 811, 585, 13870, 267, 4393, 543, 9042, 269, 16748, 540, 2504, 814, 606, 7199, 269, 634, 6705, 562, 525, 7220, 585, 1966, 9010, 593, 13851, 267, 4859, 2472, 543, 6725, 1062, 563, 763, 4346, 3761, 5832, 1062, 540, 2146, 4951, 602, 519, 6705, 8195, 1063, 3395, 5388, 543, 9393, 787, 269, 2334, 856, 29115, 540, 10448, 3395, 585, 513, 9393, 787, 543, 856, 29115, 540, 9393, 787, 585, 10448, 3395, 607, 1134, 269, 634, 2146, 972, 729, 11018, 585, 3395, 543, 7556, 269, 634, 454, 325, 1301, 619, 5610, 585, 13226, 2504, 585, 10047, 540, 5858, 13870, 543, 1871, 269, 634, 1034, 6705, 2226, 547, 4876, 10092, 543, 15110, 7326, 16662, 1549, 958, 269, 0, 10527, 4220, 2404, 609, 13044, 616, 1360, 9244, 2404, 609, 2085, 563, 10527, 1981, 538, 1453, 950, 789, 1205, 13044, 568, 5393, 1970, 563, 14071, 2461, 3257, 891, 2090, 538, 1453, 693, 519, 4090, 1317, 649, 1616, 547, 581, 2111, 547, 946, 519, 6669, 538, 1453, 1058, 621, 6961, 2556, 3034, 763, 8330, 571, 313, 523, 29132, 6669, 8062, 593, 1453, 616, 1373, 1031, 547, 2708, 2436, 519, 795, 629, 7472, 513, 2178, 4761, 3210, 538, 1346, 1063, 3670, 543, 476, 1704, 563, 763, 4966, 7900, 519, 4255, 5116, 519, 4791, 8062, 593, 23249, 2394, 811, 1344, 689, 519, 5709, 1149, 543, 16195, 15733, 27943, 10837, 630, 300, 295, 6938, 264, 568, 3177, 593, 519, 1981, 540, 1973, 28163, 4080, 538, 4079, 563, 10000, 30098, 689, 519, 631, 295, 6938, 616, 4397, 538, 519, 4947, 2395, 563, 23178, 18373, 4797, 281, 968, 2171, 6157, 1810, 1406, 1616, 547, 581, 2921, 1022, 4220, 2016, 741, 3592, 30050, 1981, 540, 4576, 689, 519, 2068, 563, 2108, 4407, 972, 568, 10462, 1472, 713, 267, 543, 2394, 649, 1205, 20501, 1344, 689, 519, 26273, 267, 649, 2731, 5433, 602, 519, 1318, 3364, 547, 798, 729, 547, 23249, 519, 1353, 267, 1491, 6006, 543, 1174, 811, 4628, 2436, 972, 941, 1022, 4145, 3034, 1103, 519, 5177, 267, 811, 982, 476, 4029, 269, 277, 2929, 1004, 723, 4607, 519, 1101, 9570, 540, 519, 6669, 543, 811, 982, 476, 276, 269, 275, 2929, 723, 4607, 741, 2034, 9570, 563, 13828, 519, 8330, 571, 313, 523, 29132, 543, 26172, 6500, 5174, 1470, 301, 27700, 10074, 616, 1373, 1031, 538, 519, 5177, 267, 4352, 513, 3791, 267, 519, 7073, 320, 6669, 267, 814, 1044, 9516, 563, 23178, 18373, 4797, 281, 968, 296, 1589, 952, 649, 1223, 1174, 713, 4576, 267, 1256, 952, 621, 1281, 2490, 856, 547, 581, 3361, 676, 519, 6669, 543, 2697, 945, 568, 693, 1981, 543, 2149, 873, 689, 602, 1981, 267, 602, 540, 1576, 568, 519, 1655, 2009, 6364, 585, 16764, 563, 4692, 1356, 2589, 281, 20050, 519, 14686, 2068, 568, 14921, 538, 519, 15108, 1496, 27486, 20846, 2639, 30048, 1826, 476, 273, 281, 20640, 3952, 4191, 547, 5544, 1496, 9915, 5588, 299, 20846, 2639, 24109, 559, 2747, 585, 9167, 607, 32228, 2103, 7142, 547, 1413, 547, 28993, 585, 10074, 1496, 3918, 12717, 3201, 2639, 10527, 811, 1344, 649, 1205, 543, 519, 1732, 649, 666, 1174, 713, 607, 3728, 607, 2009, 267, 519, 1732, 519, 6364, 585, 16764, 267, 711, 1175, 538, 713, 2197, 855, 2429, 519, 1158, 1848, 0, 268, 1215, 666, 594, 948, 1250, 1126, 609, 513, 2542, 9659, 888, 268, 1548, 616, 519, 1283, 476, 276, 1565, 9124, 888, 268, 2052, 10010, 3988, 6952, 909, 888, 268, 1548, 568, 519, 3017, 1063, 2542, 7411, 543, 2542, 9659, 888, 268, 1548, 568, 3500, 4393, 4524, 888, 268, 1548, 1281, 1373, 513, 3500, 5467, 1611, 888, 268, 1215, 798, 596, 917, 952, 596, 723, 513, 2542, 9659, 888, 268, 1215, 798, 596, 917, 952, 596, 616, 513, 10010, 5467, 888, 268, 1772, 3500, 2542, 513, 9659, 888, 268, 4208, 1281, 1250, 1126, 6560, 609, 2542, 888, 268, 4208, 1281, 1250, 1126, 723, 513, 2182, 942, 2542, 888, 1692, 666, 594, 948, 1250, 1126, 609, 513, 2542, 9659, 888, 1692, 547, 6435, 513, 4132, 26647, 31227, 2060, 7335, 10673, 1406, 7227, 547, 1205, 707, 1126, 2542, 948, 1352, 779, 3297, 269, 2521, 547, 1224, 547, 707, 1126, 585, 513, 1906, 3764, 3232, 13034, 27626, 707, 1126, 3442, 2835, 693, 1200, 2542, 1377, 5861, 976, 3187, 10992, 856, 2835, 593, 11746, 5861, 5273, 513, 5467, 7888, 1753, 676, 5464, 5496, 6066, 10756, 1432, 616, 519, 1283, 476, 276, 1565, 9124, 888, 5804, 27577, 547, 1893, 4393, 4524, 547, 3308, 829, 24632, 270, 6665, 783, 5179, 17211, 267, 1620, 1565, 9124, 2337, 6530, 4648, 1732, 1174, 519, 5095, 789, 4196, 6185, 903, 21685, 269, 2560, 21619, 23054, 807, 269, 2560, 21619, 20412, 807, 269, 2560, 10748, 7480, 4393, 4524, 269, 2560, 5678, 4393, 4524, 21457, 3688, 7498, 4692, 10010, 3988, 6952, 909, 888, 763, 2817, 23941, 540, 2657, 1533, 602, 476, 4817, 2600, 540, 4057, 3988, 666, 581, 4547, 909, 547, 3446, 1377, 952, 789, 4309, 2500, 948, 2038, 269, 2755, 621, 568, 1869, 2009, 547, 948, 606, 4587, 1126, 609, 2542, 267, 1346, 3564, 3791, 3446, 2154, 1454, 811, 14021, 948, 563, 1432, 568, 519, 3017, 1063, 2542, 7411, 543, 2542, 9659, 888, 1103, 5758, 267, 513, 2542, 4524, 568, 513, 13598, 2165, 585, 513, 1808, 1565, 9659, 538, 2127, 540, 13093, 1670, 4393, 267, 2542, 8223, 267, 543, 5924, 2542, 21711, 269, 21619, 21685, 568, 513, 7463, 2165, 585, 513, 1808, 1826, 540, 2542, 9659, 6353, 676, 7965, 609, 13093, 1670, 4393, 543, 2542, 21711, 563, 1432, 568, 3500, 4393, 4524, 888, 16352, 3500, 4393, 3432, 814, 4986, 547, 798, 609, 875, 5100, 3214, 616, 269, 898, 779, 3361, 676, 2634, 3604, 602, 1118, 873, 1491, 3476, 547, 798, 1919, 982, 824, 3214, 269, 901, 2882, 3257, 6780, 267, 2348, 513, 6643, 267, 543, 1818, 3664, 899, 1018, 547, 3548, 585, 14254, 269, 20405, 4393, 3432, 666, 4755, 593, 922, 1378, 563, 1432, 1281, 1373, 513, 3500, 5467, 1611, 888, 5445, 2995, 803, 602, 1373, 513, 3500, 5467, 1797, 789, 13842, 2542, 267, 602, 789, 3112, 1265, 1022, 2835, 267, 602, 972, 568, 1100, 1259, 789, 786, 2479, 1224, 2614, 2835, 538, 476, 278, 628, 3446, 543, 602, 972, 568, 4986, 547, 581, 2944, 827, 621, 269, 1358, 723, 2016, 909, 1317, 540, 3432, 563, 1692, 798, 596, 917, 952, 596, 723, 513, 2542, 9659, 888, 1432, 616, 519, 2589, 540, 2542, 4713, 286, 3682, 21793, 3280, 532, 856, 1913, 6185, 858, 22187, 9301, 4992, 543, 519, 5022, 602, 1118, 909, 1346, 4992, 10422, 3233, 10259, 2529, 869, 2542, 269, 3682, 21793, 2542, 856, 10978, 609, 2953, 4082, 269, 3682, 21793, 1620, 1018, 729, 1175, 1224, 563, 1692, 798, 596, 917, 952, 596, 616, 513, 10010, 5467, 888, 307, 709, 1076, 19551, 543, 9301, 5022, 540, 519, 9904, 16638, 1464, 547, 2697, 6586, 2719, 1913, 610, 2347, 5432, 30053, 5103, 7928, 17279, 543, 2259, 269, 1805, 745, 31227, 547, 3280, 856, 1913, 543, 5924, 5569, 4992, 1927, 11482, 629, 1681, 936, 513, 2262, 5103, 7487, 610, 2542, 621, 1896, 2053, 1354, 21457, 3688, 2507, 31220, 3674, 3500, 2542, 513, 9659, 888, 291, 903, 21685, 568, 513, 1565, 7411, 602, 5097, 5540, 519, 1983, 3238, 538, 4977, 543, 31402, 2262, 2542, 543, 10259, 269, 10886, 2065, 2934, 540, 27577, 616, 7965, 538, 13093, 1670, 4656, 267, 11913, 3965, 543, 11913, 4393, 3432, 269, 21619, 21685, 4386, 2066, 519, 2039, 540, 7214, 5759, 563, 3963, 1281, 1250, 1126, 6560, 609, 2542, 888, 5278, 3214, 723, 513, 1565, 9659, 602, 2306, 2542, 2352, 547, 1451, 269, 11524, 2097, 547, 1153, 1510, 519, 7924, 2833, 789, 991, 547, 1831, 3988, 269, 2368, 1453, 6560, 1317, 789, 4076, 4607, 4057, 610, 16283, 2542, 6044, 563, 3963, 1281, 1250, 1126, 723, 513, 2182, 942, 2542, 888, 291, 903, 21685, 568, 513, 1455, 1565, 3017, 602, 3123, 8373, 609, 2542, 269, 11838, 543, 3500, 4393, 3432, 666, 849, 1118, 2542, 2182, 269, 1703, 616, 6266, 540, 2081, 547, 948, 3214, 2087, 267, 1745, 1447, 21616, 267, 543, 1256, 2972, 2542, 269, 0, 763, 12136, 540, 2067, 14599, 3327, 538, 519, 5790, 2488, 513, 2189, 4316, 547, 4266, 5214, 2326, 607, 2025, 607, 10199, 476, 2568, 267, 1296, 269, 9521, 1034, 13666, 8084, 6580, 2409, 267, 519, 6671, 3327, 6580, 4480, 568, 711, 1759, 593, 10203, 8250, 24745, 269, 898, 12346, 3079, 593, 519, 11636, 9178, 610, 14897, 766, 540, 519, 14599, 2385, 609, 942, 269, 1715, 569, 2813, 3327, 8444, 941, 16912, 539, 547, 2746, 609, 11626, 5135, 547, 1106, 3327, 8166, 2910, 476, 273, 6675, 269, 15571, 5562, 3327, 3976, 729, 3308, 1242, 607, 11543, 13675, 16382, 11626, 3327, 8166, 13788, 1765, 20041, 2244, 2371, 676, 15591, 267, 883, 2831, 602, 3049, 593, 519, 2371, 267, 883, 7286, 543, 4195, 7297, 607, 513, 15702, 5057, 267, 543, 689, 972, 883, 12748, 2371, 543, 2831, 269, 769, 2110, 267, 782, 2694, 540, 519, 3327, 4783, 941, 2938, 547, 581, 22983, 676, 519, 24236, 3327, 454, 12552, 547, 26187, 559, 17540, 1564, 267, 12539, 25441, 1772, 538, 8614, 16985, 344, 269, 2290, 26831, 2904, 5620, 606, 14168, 674, 1460, 454, 23737, 518, 281, 1018, 568, 28650, 6580, 543, 875, 1281, 621, 960, 888, 305, 659, 3559, 8381, 1281, 711, 960, 585, 267, 5077, 267, 1378, 8843, 538, 610, 4309, 7616, 689, 1022, 2754, 610, 13539, 602, 1131, 4324, 689, 713, 2376, 267, 543, 814, 31889, 1100, 4143, 28930, 725, 3564, 741, 4081, 13393, 269, 30521, 22932, 6580, 814, 9927, 938, 1620, 540, 519, 2250, 476, 2004, 267, 1296, 269, 7905, 4024, 731, 8644, 2421, 3812, 519, 1101, 28650, 7389, 538, 543, 729, 2663, 13752, 519, 17587, 15356, 585, 1010, 3646, 269, 30521, 22932, 6580, 1568, 676, 9236, 519, 1614, 1114, 24745, 540, 3327, 269, 1772, 582, 8554, 540, 513, 1880, 3693, 723, 519, 1482, 1297, 540, 22571, 538, 741, 13540, 267, 855, 1114, 2338, 540, 25268, 563, 1692, 798, 2520, 5505, 946, 3327, 6580, 547, 1265, 519, 2085, 540, 7725, 888, 763, 3327, 9219, 568, 3478, 19268, 269, 8693, 5638, 689, 513, 5545, 10720, 616, 1305, 547, 2087, 519, 6111, 540, 519, 6580, 4480, 267, 799, 1223, 948, 547, 8774, 1769, 593, 15456, 13655, 971, 607, 1946, 3026, 6387, 628, 1023, 2968, 17255, 269, 12539, 6580, 568, 1031, 547, 960, 856, 519, 2085, 540, 5214, 1570, 2443, 538, 1198, 267, 1022, 2713, 3364, 269, 634, 4480, 31963, 593, 3327, 267, 513, 14599, 24236, 540, 519, 3693, 602, 267, 7429, 824, 811, 7123, 3029, 540, 3327, 267, 1232, 904, 2476, 693, 513, 11931, 2557, 269, 5029, 3359, 7001, 513, 1978, 2179, 540, 3327, 689, 519, 5790, 950, 789, 616, 9800, 563, 763, 2702, 547, 10502, 4266, 267, 610, 2697, 519, 2085, 540, 606, 1843, 267, 666, 4001, 721, 950, 3047, 4646, 267, 948, 7866, 2250, 16374, 543, 2995, 721, 875, 2038, 3425, 5030, 269, 1924, 875, 798, 3744, 798, 621, 286, 30521, 22932, 6580, 568, 519, 1034, 1455, 1505, 676, 2484, 267, 2687, 547, 4966, 269, 901, 1505, 3322, 7893, 9424, 540, 3327, 267, 513, 14599, 3327, 24236, 2443, 610, 4528, 540, 606, 11046, 609, 513, 1114, 1297, 540, 25268, 269, 12539, 568, 24819, 538, 519, 1604, 269, 0, 21080, 10386, 585, 2079, 540, 2910, 543, 922, 13666, 8084, 5888, 630, 290, 268, 1724, 267, 744, 268, 1240, 267, 543, 595, 268, 1691, 264, 814, 1044, 5340, 693, 519, 620, 18090, 6728, 12312, 333, 321, 5585, 263, 5325, 5232, 301, 267, 476, 1724, 5232, 292, 267, 476, 20542, 277, 544, 1657, 4262, 1377, 264, 2094, 5181, 476, 1960, 277, 269, 589, 1164, 4110, 540, 13260, 568, 4767, 267, 799, 568, 1813, 547, 519, 2647, 8390, 538, 519, 5169, 540, 2011, 13999, 25541, 269, 2201, 519, 4493, 540, 519, 2910, 543, 24236, 2164, 267, 513, 8760, 540, 519, 1114, 5439, 568, 5340, 269, 4033, 1239, 971, 607, 2142, 268, 278, 267, 744, 268, 274, 267, 3448, 11195, 267, 543, 1394, 24551, 616, 1031, 547, 2285, 3606, 1344, 827, 519, 2011, 2527 ]

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

[ 1519, 3490, 14057, 267, 13755, 4926, 267, 2640, 267, 6284, 3292, 267, 543, 1565, 3255, 269, 1323, 7471, 2698, 12587, 1935, 5849, 602, 3906, 666, 3927, 4482, 267, 11677, 267, 543, 4497, 1283, 13007, 676, 13267, 547, 3309, 2115, 543, 7375, 780, 321, 264, 18378, 24054, 454, 1103, 4156, 9698, 4016, 547, 519, 9228, 14619, 540, 13180, 2157, 1851, 5520, 7900, 2147, 6009, 1369, 519, 1482, 3919, 269, 23496, 4835, 9698, 3322, 3384, 5812, 2628, 3889, 602, 5431, 1367, 7418, 543, 2773, 2157, 780, 322, 264, 24498, 14847, 25163, 454, 2750, 4156, 28211, 18575, 519, 12972, 540, 10721, 13180, 2157, 609, 2872, 4441, 543, 2344, 3928, 269, 24367, 5007, 28211, 2337, 3906, 2611, 10694, 547, 17053, 554, 2231, 1247, 10893, 24826, 780, 323, 264, 13751, 19047, 454, 19617, 2730, 4031, 543, 6042, 1827, 13180, 543, 2640, 7245, 267, 8506, 12820, 547, 15666, 547, 5934, 13230, 4170, 267, 3160, 2628, 14074, 267, 4550, 1673, 4593, 19303, 29071, 267, 543, 824, 4808, 2966, 547, 2149, 4600, 262, 2924, 543, 2327, 4023, 2126, 269, 19361, 1436, 609, 4143, 9086, 6087, 9439, 547, 1020, 5360, 5050, 4507, 543, 2057, 14427, 25036, 780, 272, 269, 12476, 6428, 776, 543, 654, 720, 23113, 692, 26015, 14057, 4564, 519, 6378, 5057, 540, 9441, 13180, 267, 3335, 6829, 607, 606, 5993, 4137, 6976, 856, 538, 2834, 3888, 906, 630, 324, 3052, 1421, 1979, 15553, 569, 1040, 27588, 12581, 543, 8013, 3490, 14057, 3889, 3340, 6297, 7156, 540, 2188, 971, 607, 2816, 9021, 267, 2838, 1983, 267, 2069, 1377, 267, 13664, 4087, 267, 543, 2199, 4074, 6990, 269, 1284, 786, 4983, 1896, 2442, 2409, 585, 9591, 3490, 23269, 267, 1519, 1384, 320, 264, 10369, 623, 878, 532, 454, 15812, 564, 14499, 3322, 4259, 3490, 23269, 2687, 547, 25162, 1239, 6508, 689, 13380, 7158, 538, 2147, 3906, 5665, 1369, 519, 1482, 2872, 610, 3148, 269, 22685, 1154, 513, 2344, 2861, 1935, 16881, 519, 10661, 540, 608, 27238, 8013, 13180, 2157, 780, 321, 264, 16763, 16214, 454, 297, 984, 6268, 568, 513, 9836, 1184, 1031, 547, 2708, 519, 3448, 4502, 540, 1114, 7158, 1369, 606, 3919, 269, 1635, 26471, 2798, 610, 9344, 1759, 593, 2188, 971, 607, 5578, 7569, 267, 4674, 2838, 267, 5539, 10924, 267, 543, 2324, 2175, 11402, 267, 9439, 666, 1711, 24323, 12581, 2628, 3889, 602, 2992, 519, 8795, 5232, 540, 6988, 2404, 609, 3982, 5107, 780, 322, 264, 16340, 7171, 532, 454, 289, 5802, 7171, 532, 2458, 22663, 2757, 21712, 3446, 3889, 883, 6626, 13164, 267, 3850, 3152, 8112, 538, 8159, 4358, 23269, 543, 14577, 2628, 9832, 936, 942, 269, 901, 1935, 7512, 14694, 3350, 2066, 3252, 543, 13623, 1247, 5009, 811, 1930, 2792, 1063, 9946, 543, 5520, 3823, 13180, 6927, 780, 272, 269, 24438, 9796, 15789, 692, 24868, 762, 2628, 3292, 7110, 3490, 23269, 609, 3606, 15314, 13615, 547, 1367, 267, 2319, 267, 610, 10721, 2773, 14573, 269, 5871, 2010, 540, 4756, 2628, 1331, 13755, 4926, 267, 862, 3827, 267, 7443, 4687, 12417, 267, 543, 12374, 327, 2130, 4566, 269, 20074, 3811, 4756, 2628, 7341, 19329, 2312, 3804, 1606, 23293, 267, 12001, 2792, 267, 543, 11826, 6482, 3157, 269, 6206, 9270, 1331, 1384, 320, 264, 1325, 793, 532, 20505, 454, 28444, 675, 602, 4756, 2628, 9072, 616, 13988, 609, 7580, 14422, 543, 3895, 5551, 5615, 1851, 23700, 269, 1280, 1383, 267, 6455, 10243, 14565, 1058, 10996, 643, 1125, 1279, 3856, 6075, 3347, 2864, 982, 2110, 3856, 12374, 693, 519, 13258, 540, 7817, 9547, 780, 321, 264, 26787, 20970, 7600, 4997, 454, 31711, 6662, 267, 3067, 16666, 7355, 585, 10442, 2773, 4093, 5532, 547, 4756, 2628, 17758, 269, 3680, 24813, 3800, 11630, 547, 12879, 610, 31495, 13133, 566, 780, 322, 264, 21344, 10374, 31645, 5288, 269, 7043, 31645, 10312, 454, 1805, 686, 651, 606, 3617, 3666, 1063, 7525, 2883, 12587, 543, 3476, 3856, 5092, 538, 9441, 2208, 543, 1646, 269, 744, 3164, 332, 3508, 529, 593, 2110, 3856, 12374, 949, 24183, 3646, 547, 6536, 14017, 543, 7029, 1851, 1883, 20334, 780, 272, 269, 31287, 11588, 543, 7896, 692, 19741, 13075, 13180, 267, 3906, 2709, 513, 2039, 540, 1875, 2914, 720, 2640, 6322, 693, 7393, 2949, 8171, 267, 960, 3734, 3666, 267, 543, 2883, 3354, 269, 15019, 4324, 6688, 1331, 1072, 6142, 267, 16468, 9806, 4566, 267, 4734, 4507, 267, 3872, 6351, 267, 543, 8465, 960, 12417, 269, 1879, 8888, 3102, 2640, 15004, 267, 2015, 519, 1739, 1384, 320, 264, 20051, 667, 5744, 20126, 454, 290, 831, 547, 9867, 22097, 543, 1272, 5933, 676, 5356, 5079, 3358, 547, 2043, 262, 2189, 6381, 543, 7375, 269, 21278, 3681, 2636, 5520, 547, 21160, 741, 2640, 2823, 31987, 2687, 547, 2123, 14422, 780, 321, 264, 30855, 12525, 22436, 454, 16655, 4476, 2139, 3454, 17099, 543, 17429, 2388, 2404, 609, 1978, 2640, 17008, 267, 7551, 4227, 2121, 3790, 585, 1312, 16108, 543, 9441, 7567, 269, 6201, 1331, 476, 25002, 17347, 264, 12805, 7418, 267, 24875, 32158, 9309, 618, 267, 543, 6283, 24307, 780, 322, 264, 4004, 21899, 10025, 1160, 6570, 454, 22546, 1947, 5968, 519, 1871, 20790, 7915, 538, 10721, 2640, 17008, 267, 10771, 15889, 5383, 1471, 268, 14504, 23724, 15712, 543, 11744, 9758, 6161, 585, 9441, 10304, 780, 272, 269, 7351, 12367, 543, 8892, 19648, 692, 2026, 4074, 6990, 3136, 9687, 9624, 6639, 21463, 267, 13346, 6848, 8155, 267, 543, 15398, 6735, 585, 9952, 13007, 267, 5499, 4485, 547, 13180, 543, 2640, 7245, 10836, 269, 31838, 3466, 1331, 1384, 320, 264, 9608, 1242, 25166, 731, 7010, 454, 3849, 2194, 532, 8007, 3889, 547, 13918, 5051, 26945, 960, 1721, 806, 6353, 676, 3309, 10080, 267, 2418, 267, 543, 17050, 269, 11426, 1242, 13180, 543, 2640, 3435, 8597, 547, 13395, 12415, 267, 29103, 1359, 6278, 543, 9547, 780, 321, 264, 4578, 5937, 337, 1508, 17423, 10435, 454, 25219, 559, 1944, 4359, 12642, 2645, 547, 2697, 3270, 267, 3589, 3466, 267, 543, 11126, 4199, 14305, 538, 1483, 6066, 269, 8262, 1239, 3156, 7520, 5483, 3375, 1818, 16135, 538, 12170, 2963, 780, 322, 264, 717, 580, 19004, 20480, 454, 32382, 519, 4473, 540, 20314, 550, 7694, 3631, 6353, 676, 2110, 3856, 4497, 906, 267, 1788, 2861, 10467, 267, 543, 6552, 5698, 269, 15043, 8465, 13180, 543, 2640, 26336, 5827, 540, 8383, 908, 17254, 4346, 5171, 3788, 14063, 780, 323, 264, 14464, 11106, 16949, 454, 18204, 7992, 5841, 4987, 6620, 543, 3684, 1565, 7207, 883, 19684, 267, 5542, 267, 543, 2773, 2359, 3157, 267, 6908, 23164, 4238, 543, 5355, 6111, 269, 3642, 12454, 3435, 3986, 1843, 2032, 267, 7413, 9186, 267, 543, 2569, 11889, 24675, 2404, 609, 8261, 7459, 780, 3528, 13215, 519, 1148, 543, 2257, 540, 13180, 543, 2640, 7245, 267, 14971, 4074, 1894, 12665, 1831, 1732, 9280, 547, 10994, 10296, 2591, 29270, 2413, 3906, 269, 3414, 2565, 2079, 267, 3860, 1966, 6061, 267, 543, 5683, 19642, 267, 1053, 666, 3565, 25006, 547, 5935, 7524, 9036, 4529, 20690, 2740, 676, 3972, 267, 11413, 267, 543, 8994, 2463, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 4876, 607, 513, 1480, 2200, 11285, 568, 694, 788, 539, 538, 3347, 543, 6042, 269, 774, 344, 957, 899, 6474, 16234, 267, 30010, 3549, 609, 4648, 543, 1287, 957, 607, 513, 1647, 812, 538, 519, 9441, 270, 655, 1943, 518, 2078, 269, 1809, 1018, 4010, 1281, 513, 4876, 607, 513, 1480, 2200, 11285, 27167, 286, 10801, 713, 31597, 6651, 547, 29460, 513, 5274, 8249, 28154, 267, 649, 786, 2263, 1018, 1480, 2200, 568, 267, 875, 547, 1376, 513, 4876, 607, 513, 1480, 2200, 11285, 267, 1018, 519, 4876, 5654, 899, 267, 543, 2104, 3466, 538, 1480, 2200, 563, 5970, 596, 2479, 4294, 585, 513, 2816, 286, 1403, 865, 267, 513, 1480, 2200, 11285, 15044, 998, 707, 16056, 10838, 513, 10518, 540, 23078, 547, 3313, 952, 596, 941, 11727, 585, 519, 2816, 269, 1403, 519, 15679, 8257, 5433, 596, 941, 513, 1434, 6474, 585, 519, 2990, 267, 519, 1985, 1900, 729, 1034, 2693, 606, 538, 16512, 610, 6049, 5967, 269, 13689, 593, 519, 2990, 267, 513, 8470, 5967, 610, 2789, 11042, 949, 723, 7018, 1354, 596, 6368, 941, 21534, 269, 634, 15679, 11285, 5462, 707, 2628, 1759, 593, 707, 7173, 1470, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15253, 18730, 543, 11588, 10029, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 8534, 1299, 11633, 9534, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4498, 1145, 532, 519, 5295, 540, 11310, 13317, 998, 13229, 11310, 5004, 7010, 543, 18877, 540, 6657, 692, 7072, 692, 1103, 2221, 781, 6385, 4657, 1870, 1604, 267, 3906, 616, 4098, 547, 5431, 602, 741, 8013, 5413, 6013, 711, 1152, 538, 741, 2168, 7221, 855, 849, 538, 741, 30608, 2200, 971, 607, 1702, 3854, 269, 4340, 547, 3798, 9109, 26856, 543, 5689, 821, 630, 1960, 278, 1070, 7214, 3854, 5161, 540, 1614, 3334, 910, 1480, 3854, 267, 7293, 3854, 267, 543, 6075, 3854, 269, 7324, 560, 891, 267, 1702, 13054, 519, 1034, 4105, 5057, 540, 10721, 5763, 5137, 543, 4264, 1646, 269, 9182, 267, 5883, 543, 16107, 713, 1702, 3927, 814, 1831, 14063, 585, 4213, 5275, 1967, 269, 901, 3184, 12538, 883, 519, 14960, 540, 7598, 7347, 1702, 2359, 1949, 543, 14237, 7524, 2950, 540, 2259, 1369, 3906, 899, 9791, 9928, 2100, 13082, 630, 7034, 299, 1040, 1635, 12561, 1655, 2853, 6537, 689, 3811, 5119, 3906, 5665, 538, 2147, 6237, 5468, 267, 645, 20784, 666, 3648, 3986, 922, 10512, 4398, 267, 5647, 7207, 267, 543, 2949, 2773, 780, 8139, 11310, 5004, 7010, 630, 298, 5960, 2020, 288, 918, 5960, 4016, 547, 513, 1305, 540, 3157, 267, 2645, 267, 543, 2994, 2966, 547, 2697, 267, 1711, 267, 2099, 267, 15814, 267, 543, 5512, 519, 10073, 540, 4030, 543, 2833, 1369, 606, 3919, 269, 898, 16881, 519, 7503, 540, 512, 659, 527, 630, 26051, 267, 2796, 10391, 264, 1702, 883, 8763, 630, 323, 29545, 267, 9836, 264, 3029, 602, 666, 581, 3362, 3838, 1851, 5520, 269, 1323, 2500, 918, 5960, 1058, 6536, 6024, 1565, 267, 3895, 5698, 267, 7520, 3375, 6194, 267, 543, 5000, 1702, 4483, 2066, 25327, 267, 13623, 267, 543, 10923, 6302, 630, 2704, 822, 328, 1299, 2274, 573, 1676, 267, 476, 1220, 272, 1040, 769, 9759, 267, 621, 5713, 607, 513, 18463, 585, 13321, 1367, 6791, 883, 7104, 7326, 267, 7551, 7393, 10721, 6043, 543, 13916, 780, 22860, 4506, 1401, 12371, 918, 5960, 693, 645, 20784, 281, 26787, 7454, 13756, 7600, 4997, 692, 2414, 3715, 4143, 1655, 2259, 7355, 585, 645, 20784, 781, 1007, 918, 5960, 267, 1896, 2188, 1590, 581, 2808, 269, 1452, 1331, 1384, 272, 269, 1325, 9892, 609, 9746, 6859, 281, 634, 918, 5960, 1058, 1489, 543, 12927, 7580, 3853, 267, 14422, 267, 543, 2418, 1247, 5807, 513, 2528, 540, 1702, 4687, 543, 1565, 2429, 519, 3919, 563, 273, 269, 14871, 7266, 878, 1374, 281, 634, 1062, 1058, 8597, 547, 3309, 3593, 2115, 267, 7375, 267, 543, 5578, 2157, 282, 2709, 2653, 10333, 282, 543, 2327, 15774, 5610, 609, 4540, 8668, 5989, 563, 274, 269, 11559, 618, 540, 1079, 17574, 2792, 281, 634, 918, 5960, 1058, 5512, 1312, 6101, 543, 13016, 9055, 585, 27300, 2093, 267, 5955, 267, 543, 4245, 4121, 1851, 2319, 2818, 563, 275, 269, 21253, 2225, 543, 25382, 281, 1306, 645, 20784, 21040, 922, 11640, 2066, 519, 6789, 292, 3198, 3148, 267, 519, 1062, 1590, 13918, 2810, 12531, 540, 1239, 267, 3755, 267, 543, 6198, 4170, 1510, 18731, 2773, 610, 32636, 563, 276, 269, 2725, 553, 13701, 543, 12477, 281, 634, 918, 5960, 1058, 6451, 6127, 585, 9477, 543, 10442, 1883, 2773, 10832, 630, 298, 303, 3674, 264, 2404, 609, 1702, 11601, 267, 23425, 267, 3498, 267, 543, 1764, 563, 277, 269, 23120, 6454, 281, 8617, 8039, 267, 10311, 267, 543, 13217, 906, 540, 519, 1062, 1058, 581, 17298, 1759, 593, 3593, 5955, 267, 6639, 7760, 267, 543, 6932, 1655, 2853, 780, 32575, 7454, 13756, 689, 4400, 6261, 518, 14127, 20871, 692, 16352 ]

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

[ 607, 621, 781, 20240, 607, 4977, 563, 288, 918, 1168, 27700, 23094, 4152, 11690, 666, 3432, 519, 1184, 909, 563, 6524, 596, 2253, 519, 4152, 593, 519, 6174, 267, 596, 1058, 1101, 1449, 707, 11281, 269, 12414, 621, 593, 267, 1305, 621, 547, 519, 2912, 1043, 4187, 1449, 610, 519, 15364, 18388, 518, 269, 6744, 602, 609, 519, 28525, 6306, 267, 602, 621, 568, 4758, 596, 513, 2542, 540, 1100, 15364, 267, 2356, 834, 5357, 257, 610, 834, 272, 2580, 1287, 5905, 519, 28525, 1927, 267, 713, 1058, 2285, 596, 513, 2542, 540, 15364, 267, 476, 271, 19315, 916, 454, 295, 809, 909, 1291, 454, 763, 1101, 851, 540, 713, 568, 547, 1449, 707, 13622, 909, 1291, 267, 607, 649, 2811, 2469, 547, 946, 713, 607, 513, 834, 342, 6387, 1291, 257, 630, 26074, 649, 666, 32603, 827, 519, 8709, 609, 621, 264, 950, 649, 2811, 4152, 519, 1124, 22806, 538, 519, 8709, 16172, 563, 268, 4530, 519, 8701, 640, 540, 707, 13622, 909, 1291, 1210, 707, 1617, 9014, 267, 1305, 707, 11281, 547, 519, 2912, 1043, 4187, 1449, 267, 1419, 20922, 676, 513, 7574, 4063, 3090, 563, 268, 9255, 835, 16785, 883, 519, 2661, 12363, 540, 1142, 1439, 540, 519, 13622, 1575, 1291, 267, 596, 1058, 1205, 606, 2912, 1043, 18388, 543, 519, 5496, 1058, 1224, 1472, 476, 271, 19315, 916, 563, 268, 18227, 835, 16785, 593, 519, 2661, 12363, 538, 835, 1439, 540, 519, 13622, 1575, 1291, 267, 1631, 5905, 519, 9243, 543, 3618, 12363, 538, 519, 824, 1439, 540, 519, 13622, 1575, 1291, 267, 891, 1058, 711, 2285, 596, 606, 2912, 1043, 3280, 543, 519, 4187, 1058, 5815, 20358, 610, 1100, 15364, 267, 2356, 20922, 676, 513, 834, 272, 257, 593, 519, 5496, 610, 834, 5357, 8487, 268, 769, 519, 1101, 11690, 267, 1847, 707, 1617, 9014, 16785, 5196, 519, 9243, 12363, 540, 519, 11690, 543, 10956, 519, 2638, 593, 782, 476, 274, 23525, 538, 519, 824, 1439, 540, 519, 13622, 1575, 11690, 267, 1586, 596, 2811, 3168, 585, 15364, 547, 519, 9243, 543, 1100, 15364, 547, 519, 2661, 543, 3618, 563, 268, 7053, 267, 538, 519, 1101, 11690, 267, 1847, 707, 1617, 9014, 16785, 5196, 519, 3618, 12363, 540, 519, 11690, 543, 10956, 782, 476, 274, 11974, 267, 596, 2811, 3168, 585, 15364, 1063, 519, 1079, 3618, 4296, 543, 1100, 15364, 547, 519, 2661, 543, 9243, 563, 2791, 1058, 1205, 519, 1739, 13220, 3248, 23277, 1446, 623, 29888, 1475, 293, 24580, 623, 29888, 610, 4934, 2280, 1475, 16676, 8462, 286, 2008, 30054, 633, 12363, 1475, 299, 633, 12363, 1475, 8133, 2008, 30054, 633, 12363, 1475, 10468, 23018, 12363, 1475, 5591, 2008, 30054, 633, 12363, 1475, 24618, 12363, 1475, 5591, 2008, 347, 10468, 23018, 12363, 1475, 10468, 23018, 12363, 1475, 8133, 2008, 347, 10468, 23018, 12363, 1475, 299, 633, 12363, 1475, 5591, 2008, 347, 10468, 23018, 12363, 1475, 24618, 12363, 1475, 5591, 2008, 347, 24618, 12363, 1475, 24618, 12363, 1475, 8133, 2008, 347, 24618, 12363, 1475, 10468, 23018, 12363, 1475, 5591, 2008, 347, 24618, 12363, 1475, 299, 633, 12363, 1475, 5591, 2008, 2252, 596, 1205, 1022, 2164, 4849, 891, 267, 596, 1058, 2638, 707, 1505, 267, 1964, 652, 543, 952, 596, 14578, 616, 3478, 11234, 2164, 267, 621, 781, 2009, 602, 596, 723, 513, 25768, 13622, 1575, 1291, 269, 4210, 777, 585, 513, 1634, 1434, 10682, 563, 5629, 596, 723, 519, 2953, 2164, 1934, 267, 11690, 519, 674, 4932, 3201, 292, 1439, 540, 519, 13622, 1575, 1291, 883, 707, 8709, 781, 13622, 909, 23094, 543, 32603, 883, 519, 8709, 2676, 3528, 726, 19982, 519, 32603, 1291, 883, 519, 29504, 23094, 543, 3001, 519, 6587, 1439, 1472, 519, 8709, 609, 596, 267, 596, 2811, 2111, 547, 2932, 519, 4255, 538, 513, 2241, 1259, 2348, 1312, 4296, 1369, 3914, 540, 519, 1617, 9014, 563, 2252, 707, 1617, 9014, 814, 25438, 850, 17157, 28339, 267, 621, 666, 581, 1360, 13561, 547, 946, 891, 593, 519, 23525, 538, 519, 32603, 10774, 809, 1575, 1291, 547, 1118, 519, 4152, 607, 2653, 607, 2009, 563, 28444, 675, 602, 519, 1292, 6467, 630, 305, 7374, 264, 543, 782, 5547, 2736, 619, 543, 23094, 17176, 616, 538, 519, 10396, 2990, 585, 713, 1449, 563, 763, 1482, 1184, 568, 1031, 585, 519, 1964, 540, 519, 476, 13301, 341, 10380, 267, 693, 1142, 476, 13301, 309, 17752, 519, 1482, 476, 280, 2638, 4255, 607, 1657, 1058, 581, 5340, 543, 519, 2164, 1058, 581, 519, 1482, 269, 1280, 519, 476, 274, 8930, 11690, 338, 267, 596, 1223, 798, 713, 609, 513, 1617, 9014, 16785, 1354, 519, 1394, 10833, 616, 7923, 547, 519, 23094, 267, 610, 621, 781, 1419, 513, 2603, 4443, 547, 946, 513, 23094, 3082, 528, 607, 3182, 3293, 1657, 952, 596, 723, 835, 563, 2690, 1022, 2182, 342, 1600, 4296, 267, 971, 607, 513, 535, 4310, 27513, 3092, 269, 519, 1449, 1058, 581, 5645, 856, 609, 707, 1617, 9014, 28525, 563, 5629, 596, 723, 7318, 543, 20240, 519, 8701, 640, 568, 2953, 593, 782, 540, 519, 476, 13301, 309, 2165, 5209, 267, 596, 666, 6445, 856, 519, 8701, 640, 3296, 593, 707, 10380, 15149, 543, 1847, 5196, 519, 1985, 1449, 563, 1607, 8701, 640, 4152, 1058, 581, 7368, 693, 707, 1974, 24422, 849, 563, 1607, 568, 5497, 607, 513, 3391, 1152, 543, 1058, 711, 581, 2655, 21114, 585, 519, 1697, 1702, 543, 1995, 269, 0, 2026, 10980, 267, 2594, 3002, 543, 30481, 8673, 28958, 519, 7414, 19566, 267, 3484, 5411, 543, 2361, 32305, 6560, 547, 3082, 269, 6884, 519, 3210, 7959, 1561, 14876, 610, 16283, 563, 21900, 21106, 676, 16888, 717, 1446, 454, 17806, 676, 590, 1120, 1470, 9986, 21573, 454, 1103, 2038, 4832, 267, 513, 1554, 28346, 337, 18413, 12555, 3515, 693, 513, 2030, 21543, 1175, 5045, 540, 24144, 267, 20957, 1421, 25540, 547, 519, 2666, 543, 5747, 269, 3571, 4013, 2014, 540, 2669, 729, 10294, 968, 17742, 1644, 3034, 2005, 729, 476, 10441, 5232, 856, 2443, 1896, 2395, 883, 513, 22266, 3002, 5951, 4171, 899, 814, 1831, 5051, 28125, 538, 1082, 2694, 540, 519, 2197, 269, 4053, 17632, 543, 804, 4461, 19323, 538, 741, 16115, 2059, 519, 6115, 5032, 269, 16680, 5210, 543, 18979, 12798, 23185, 835, 540, 519, 4102, 23967, 538, 519, 2136, 2276, 563, 291, 3754, 267, 19251, 2378, 2231, 543, 3002, 6329, 616, 27312, 593, 519, 7414, 19566, 607, 519, 2360, 540, 2916, 1689, 7369, 519, 5251, 269, 1358, 723, 7142, 3484, 5411, 267, 2361, 32305, 543, 1533, 22124, 547, 6330, 9241, 3665, 2175, 563, 3719, 11564, 547, 1896, 11396, 538, 519, 681, 4084, 9503, 538, 14822, 543, 538, 8828, 6115, 936, 519, 2063, 3923, 4951, 602, 519, 3210, 666, 1419, 1745, 1561, 14876, 267, 543, 693, 2053, 16283, 563, 303, 4301, 2096, 5474, 538, 14822, 543, 6115, 723, 5063, 3964, 3106, 6042, 547, 2149, 4600, 269, 3807, 1310, 519, 5309, 5109, 3002, 5951, 538, 4873, 267, 29583, 269, 25562, 9466, 540, 14822, 9859, 519, 1533, 779, 27706, 2657, 543, 8881, 8116, 547, 9772, 6595, 3652, 585, 1022, 9036, 1141, 2175, 1223, 1291, 547, 3002, 4576, 563, 763, 3652, 267, 799, 3576, 1198, 4119, 269, 476, 280, 267, 2154, 12820, 547, 1683, 1569, 547, 12094, 543, 3579, 6704, 1216, 538, 11396, 543, 824, 9205, 4025, 950, 5210, 3914, 476, 3199, 5232, 267, 609, 3606, 4170, 547, 2709, 811, 9397, 543, 13350, 9716, 11974, 950, 621, 10301, 476, 3445, 5232, 563, 763, 3652, 849, 2154, 12820, 602, 1683, 10151, 8027, 547, 2361, 4600, 267, 899, 1346, 609, 670, 268, 273, 288, 6694, 1471, 553, 267, 547, 1832, 11623, 693, 476, 4281, 5232, 610, 2630, 269, 6115, 3557, 713, 1032, 2813, 2147, 6595, 3652, 547, 4383, 3665, 4365, 3270, 267, 11836, 16506, 543, 4993, 267, 799, 723, 849, 13684, 3002, 3106, 6042, 602, 4019, 547, 11396, 538, 2487, 1296, 563, 13126, 281, 3367, 9509, 9137, 0, 763, 5767, 2029, 1031, 538, 4070, 540, 5656, 543, 13123, 269, 1358, 616, 1031, 607, 513, 2101, 3693, 538, 519, 12432, 2497, 269, 20056, 550, 2298, 267, 1164, 4452, 12946, 4390, 267, 15006, 267, 5488, 3432, 540, 4070, 267, 3092, 269, 616, 930, 540, 519, 4128, 1946, 621, 568, 11543, 8560, 538, 519, 4070, 2872, 563, 2108, 9515, 541, 27296, 1797, 18188, 5374, 801, 338, 269, 1452, 616, 7143, 4765, 547, 513, 7293, 4759, 585, 8236, 12432, 2962, 609, 6405, 269, 2701, 541, 27296, 568, 835, 540, 519, 2101, 2609, 538, 519, 12432, 2497, 3034, 6597, 14958, 568, 519, 1152, 10672, 538, 3127, 945, 568, 5663, 519, 19852, 801, 338, 593, 4628, 13128, 1164, 3432, 3684, 538, 2582, 14764, 269, 9747, 11007, 538, 10866, 568, 9738, 269, 3143, 2417, 4238, 616, 2838, 563, 26660, 540, 938, 801, 338, 568, 6697, 547, 824, 1134, 1634, 12478, 899, 20307, 267, 918, 302, 4596, 267, 3092, 563, 2171, 5478, 7711, 1911, 876, 562, 657, 538, 2582, 6521, 563, 763, 21969, 3429, 6713, 454, 6597, 769, 13555, 2060, 17934, 454, 26794, 540, 2701, 541, 27296, 454, 268, 2701, 541, 4045, 832, 723, 1164, 4452, 12946, 4390, 543, 2709, 5230, 4187, 585, 5821, 676, 1352, 2130, 267, 538, 12432, 2497, 563, 268, 15020, 1164, 2557, 540, 2504, 666, 581, 6913, 267, 1282, 4070, 563, 268, 661, 848, 540, 5106, 267, 1282, 4070, 269, 3143, 1808, 5578, 568, 2838, 585, 13841, 563, 268, 21253, 2225, 538, 1374, 540, 4070, 563, 268, 2701, 541, 4045, 832, 666, 581, 7143, 4765, 998, 1546, 1188, 16847, 267, 547, 3132, 6405, 28973, 563, 268, 12025, 540, 9587, 616, 4130, 8754, 585, 2016, 3710, 909, 1858, 649, 666, 723, 3677, 24095, 1858, 454, 268, 16200, 267, 14463, 267, 7123, 543, 20381, 11259, 563, 268, 12565, 936, 8115, 630, 4629, 289, 994, 268, 20497, 2679, 454, 268, 5295, 12518, 454, 4306, 11070, 595, 6938, 10499, 568, 5663, 19852, 28339, 2687, 547, 3486, 3044, 18869, 476, 16928, 1240, 543, 4152, 568, 2944, 607, 829, 589, 16703, 667, 272, 269, 272, 22230, 272, 269, 272, 300, 563, 8256, 18790, 519, 2565, 640, 540, 3498, 267, 2289, 14958, 814, 5402, 5697, 519, 6151, 1570, 609, 1697, 3114, 5888, 543, 7344, 3601, 547, 2327, 5140, 28891, 1464, 543, 4222, 563, 9515, 541, 28339, 609, 695, 1678, 8006, 476, 1724, 267, 476, 1626, 267, 476, 866, 267, 476, 2420, 543, 476, 1839, 6515, 616, 1034, 4122, 1031, 5001, 267, 609, 8795, 13080, 269, 595, 10984, 545, 7542, 337, 2737, 547, 9290, 519, 19852, 28339, 616, 13859, 676, 2289, 14958, 269, 13689, 2390, 519, 3498, 267, 645, 732, 19045, 610, 3414, 1546, 1188, 595, 10984, 545, 12113, 337, 2737, 616, 13859, 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 ]

[ 267, 1247, 519, 4339, 585, 7850, 13180, 19388, 619, 538, 3486, 10470, 269, 634, 12526, 2707, 267, 513, 23561, 2030, 267, 19156, 519, 25680, 991, 585, 22608, 6042, 593, 13818, 4853, 3157, 563, 13828, 2665, 20838, 519, 2956, 540, 2146, 6043, 538, 519, 3068, 540, 971, 10779, 885, 269, 18748, 539, 2950, 678, 718, 1221, 1927, 267, 14053, 12477, 543, 8165, 585, 741, 1318, 547, 513, 2973, 543, 2922, 1604, 269, 901, 7104, 6043, 267, 2705, 267, 1058, 711, 31083, 20760, 519, 5539, 540, 6080, 543, 6608, 547, 2061, 971, 12469, 563, 4322, 2013, 2090, 5031, 519, 25680, 4539, 540, 2825, 12526, 543, 519, 5571, 6560, 585, 7850, 13180, 269, 634, 4339, 585, 2825, 5126, 568, 1419, 1279, 543, 9808, 9853, 609, 2591, 267, 26089, 3102, 3656, 10850, 267, 7453, 11268, 267, 543, 519, 14713, 540, 14388, 2950, 563, 299, 20235, 17563, 585, 16418, 532, 4414, 816, 454, 15307, 629, 7667, 7347, 3656, 1102, 2858, 23461, 568, 11358, 538, 4180, 519, 4299, 2950, 262, 2924, 616, 6870, 543, 741, 20494, 341, 1734, 616, 9619, 3927, 267, 7551, 5807, 513, 2631, 540, 5126, 543, 3354, 269, 589, 3102, 3656, 5943, 585, 5275, 2699, 816, 585, 9601, 540, 2825, 12526, 568, 15747, 538, 5466, 519, 10848, 540, 891, 2665, 563, 4913, 267, 519, 1761, 585, 5126, 568, 1419, 554, 2086, 1229, 676, 3609, 3138, 2684, 3421, 269, 1452, 3138, 2684, 3421, 666, 7520, 519, 859, 5235, 540, 5539, 676, 519, 6105, 4929, 2825, 2800, 267, 14944, 1456, 519, 7145, 540, 3656, 973, 6847, 269, 1280, 3236, 267, 22394, 610, 1875, 7721, 11962, 6042, 593, 13818, 3653, 12871, 267, 610, 561, 1314, 11268, 540, 4540, 4031, 267, 666, 1711, 606, 1604, 1141, 12526, 13685, 979, 10002, 684, 1639, 563, 1103, 1769, 540, 891, 2591, 267, 25036, 2994, 1590, 581, 5402, 2919, 269, 11150, 949, 4125, 1362, 2962, 17015, 267, 799, 19597, 622, 519, 6811, 540, 1082, 9601, 883, 835, 27779, 267, 3976, 2810, 741, 7104, 29541, 1379, 269, 3958, 267, 1857, 1719, 25036, 666, 581, 15747, 538, 8744, 971, 2665, 547, 1769, 543, 11319, 585, 11528, 1689, 563, 2750, 13630, 21981, 4249, 513, 1713, 1909, 538, 891, 2665, 267, 3246, 3621, 2963, 547, 3715, 519, 3095, 1063, 519, 12526, 543, 519, 2800, 11124, 676, 519, 9601, 269, 15845, 540, 32226, 610, 18670, 540, 6042, 676, 519, 15034, 5428, 568, 849, 2629, 585, 3811, 25036, 563, 3725, 13257, 538, 2825, 9086, 1058, 2832, 693, 14874, 3609, 3138, 2684, 3421, 543, 14304, 11268, 6127, 269, 901, 2882, 811, 22608, 6042, 593, 4853, 2238, 609, 1761, 2825, 5222, 543, 6793, 20507, 585, 19374, 269, 1635, 6830, 4328, 519, 3656, 5943, 585, 5275, 2699, 816, 267, 621, 568, 2009, 547, 1683, 811, 2500, 18817, 585, 5126, 585, 9601, 540, 2825, 12526, 267, 17923, 3972, 538, 519, 3656, 1062, 563, 305, 1961, 540, 7025, 589, 2102, 2886, 454, 19931, 9431, 23388, 676, 22257, 4703, 4249, 513, 2629, 1909, 538, 519, 4027, 540, 2067, 2200, 543, 1857, 1072, 267, 2523, 538, 519, 2796, 540, 4853, 5533, 269, 7025, 8041, 267, 1312, 693, 519, 5313, 543, 1533, 1377, 267, 7703, 519, 5539, 540, 7598, 543, 30191, 9431, 4507, 6322, 693, 7303, 543, 9013, 8733, 12526, 269, 1452, 8041, 616, 32486, 547, 6895, 4853, 2238, 267, 2708, 2825, 5222, 267, 17997, 6042, 267, 543, 1491, 30997, 3527, 538, 2665, 540, 19374, 563, 288, 11765, 12477, 267, 4061, 267, 568, 540, 14063, 2956, 538, 4180, 602, 519, 9601, 540, 2825, 12526, 616, 18113, 9104, 730, 269, 901, 568, 6913, 998, 11826, 10220, 5464, 267, 543, 1141, 1875, 10687, 20869, 568, 9571, 267, 519, 8041, 666, 20818, 20507, 267, 22717, 610, 1256, 7080, 754, 4238, 540, 519, 1055, 2056, 6080, 269, 1452, 5309, 1438, 3527, 4196, 607, 15658, 1370, 338, 1996, 1761, 19374, 267, 8754, 7863, 7925, 2950, 689, 519, 5739, 2360, 540, 2825, 5533, 563, 20245, 8041, 849, 1404, 513, 1713, 1909, 538, 14123, 25036, 3157, 585, 9601, 5275, 2699, 816, 269, 901, 568, 6913, 676, 3246, 2565, 2963, 998, 741, 3329, 894, 4681, 267, 799, 666, 581, 1031, 547, 3715, 15668, 269, 769, 713, 2543, 267, 891, 8041, 957, 607, 8169, 617, 2103, 540, 2825, 5126, 267, 4180, 602, 519, 12376, 619, 2628, 585, 519, 2800, 3361, 676, 741, 3527, 563, 2414, 3986, 8116, 12477, 267, 972, 568, 513, 991, 585, 7347, 9431, 4507, 602, 5581, 2312, 5773, 585, 11268, 543, 1683, 585, 1857, 7589, 538, 3375, 6194, 3157, 269, 901, 786, 2327, 11413, 543, 13784, 538, 519, 2359, 540, 2825, 2200, 267, 543, 13604, 267, 3986, 1857, 3972, 538, 519, 8041, 262, 4238, 563, 11997, 267, 519, 1909, 540, 2825, 8041, 538, 8165, 585, 13180, 585, 9601, 540, 2825, 12526, 568, 1312, 1463, 267, 998, 11268, 540, 6042, 267, 543, 9940, 267, 998, 519, 11865, 540, 2565, 2963, 538, 25036, 3157, 563, 8002, 13659, 543, 31197, 27557, 454, 1103, 519, 7706, 540, 1857, 11407, 543, 3609, 1689, 267, 17933, 543, 14223, 3646, 4196, 607, 3532, 2645, 538, 5466, 8733, 4145, 269, 1452, 6127, 666, 581, 3226, 2500, 538, 10451, 6848, 4656, 543, 20834, 2358, 1489, 585, 9601, 540, 2825, 12526, 269, 1635, 14123, 513, 4514, 1620, 540, 8733, 2152, 267, 15628, 543, 15156, 666, 3310, 3609, 267, 5000, 9746, 12477, 267, 543, 7903, 585, 3617, 13180, 585, 9601, 563, 294, 14993, 23085, 5322, 267, 607, 513, 1106, 540, 14223, 267, 1404, 606, 1898, 1909, 538, 713, 1184, 269, 1452, 616, 2146, 2861, 2516, 602, 960, 693, 513, 2199, 1377, 547, 13720, 2825, 12526, 267, 1419, 1210, 13889, 2994, 547, 2721, 3007, 547, 741, 2014, 269, 4256, 3646, 616, 15747, 538, 8744, 827, 1689, 267, 607, 789, 11851, 2604, 593, 14078, 543, 6608, 547, 11760, 543, 2232, 2825, 17536, 1182, 269, 634, 1379, 540, 29065, 5322, 6013, 538, 741, 2702, 547, 20834, 1047, 2199, 2950, 267, 2870, 513, 7104, 5639, 602, 568, 2352, 547, 11716, 563, 3682, 11687, 2994, 267, 29285, 267, 4196, 607, 513, 14984, 1106, 540, 17933, 269, 1452, 2994, 2039, 689, 12560, 23405, 547, 6411, 540, 3540, 27136, 17171, 267, 543, 789, 616, 2966, 547, 7519, 519, 4567, 28943, 543, 3196, 513, 3210, 689, 1346, 538, 1379, 269, 1635, 2502, 538, 13889, 267, 15628, 666, 19542, 513, 30425, 593, 2665, 540, 2825, 12526, 543, 519, 7766, 6408, 5314, 267, 8903, 14078, 543, 6608, 547, 1491, 2962, 563, 4407, 519, 4339, 585, 13180, 585, 9601, 540, 2825, 12526, 568, 1950, 543, 9808, 9853, 609, 2591, 267, 519, 1764, 540, 14223, 543, 17933, 3112, 581, 19765, 13846, 269, 3414, 519, 13447, 539, 3646, 540, 29065, 5322, 543, 519, 7580, 946, 540, 13889, 2994, 267, 15889, 3356, 666, 581, 6913, 267, 3056, 547, 3152, 9746, 12477, 267, 3609, 1689, 267, 543, 3617, 13180, 585, 9601, 563, 2750, 600, 1456, 4826, 21694, 454, 12850, 5533, 267, 513, 10296, 8733, 3390, 267, 11562, 1218, 9488, 6514, 1813, 547, 922, 7096, 1764, 593, 1857, 1072, 543, 9265, 269, 634, 8129, 540, 5533, 666, 581, 14360, 547, 1585, 2959, 267, 1519, 4853, 3653, 267, 6694, 20359, 267, 543, 16789, 12871, 540, 7622, 3653, 269, 1452, 14107, 711, 1152, 8764, 622, 1216, 4703, 267, 855, 849, 15449, 622, 883, 519, 3037, 267, 18363, 1312, 18714, 543, 12748, 8134, 563, 299, 20235, 4808, 543, 6042, 267, 971, 607, 519, 11162, 4826, 2920, 538, 519, 2136, 2276, 267, 723, 1044, 3964, 547, 26193, 1216, 5533, 269, 1452, 4031, 23626, 6080, 547, 1521, 741, 2498, 1663, 757, 1354, 17579, 532, 873, 883, 1216, 4703, 267, 3976, 4227, 519, 1761, 585, 12526, 269, 1717, 267, 519, 7145, 540, 891, 4031, 568, 1419, 12042, 1229, 676, 561, 1314, 11268, 543, 519, 3668, 540, 22608, 20507, 585, 1875, 10687, 20869, 563, 6944, 8727, 3435, 1331, 7598, 4359, 16894, 2126, 4066, 267, 5009, 4264, 8105, 2853, 267, 543, 14957, 585, 3743, 7082, 2623, 269, 5047, 267, 32598, 3800, 971, 607, 20239, 648, 9712, 566, 267, 1979, 990, 550, 532, 267, 543, 6802, 543, 1521, 2409, 666, 581, 1031, 547, 2973, 909, 26130, 4609, 269, 1452, 3435, 711, 1152, 2832, 547, 11574, 519, 2360, 540, 12526, 855, 849, 11441, 547, 2061, 2104, 13685, 563, 13010, 267, 13180, 6127, 585, 9601, 540, 2825, 12526, 28173, 3656, 6963, 269, 13751, 1949, 991, 547, 581, 811, 8383, 908, 540, 2825, 9601, 267, 3850, 873, 547, 3409, 13180, 585, 14796, 543, 4180, 602, 12376, 619, 616, 4371, 18177, 585, 741, 3527, 269, 901, 1131, 4196, 607, 513, 15658, 1370, 585, 1761, 12376, 619, 267, 7551, 7863, 7925, 2950, 543, 8497, 9265, 269, 769, 519, 2796, 540, 1216, 5533, 267, 7598, 891, 3800, 568, 711, 1175, 606, 2825, 13766, 267, 855, 849, 513, 1514, 17185, 2509, 1699, 543, 2104, 5481, 563, 291, 13377, 540, 32126, 748, 17904, 2598, 27760, 454, 19187, 12871, 540, 13818, 3653, 4564, 513, 2629, 3390, 267, 2016, 922, 1761, 547, 1102, 12787, 4049, 14796, 593, 1480, 1072, 543, 5117, 8699, 269, 901, 32252, 3512, 568, 3226, 7282, 267, 6236, 519, 8801, 2360, 602, 666, 1267, 689, 20025, 3653, 2359, 2853, 269, 634, 8552, 540, 4220, 2404, 609, 13818, 3653, 12871, 568, 3376, 543, 15491, 267, 1419, 5473, 1950, 3656, 543, 2825, 9270, 563, 1103, 519, 7706, 540, 1857, 1072, 267, 6757, 4598, 547, 13818, 3653, 666, 1291, 547, 513, 16221, 540, 1072, 8374, 267, 1312, 7525, 543, 1279, 3856, 269, 18127, 3676, 267, 11871, 267, 543, 11095, 4713, 538, 1453, 666, 782, 581, 5532, 547, 4598, 547, 5739, 6878, 269, 5047, 267, 891, 4220, 616, 711, 16876, 547, 1463, 3346, 282, 2011, 267, 1216, 267, 543, 3037, 12526, 666, 18549, 16616, 2950, 547, 13818, 2326, 267, 30286, 513, 7839, 3463, 563, 1103, 2474, 540, 8733, 1764, 267, 16789, 3653, 2359, 666, 1232, 1493, 9265, 267, 7519, 9249, 267, 543, 8764, 622, 2067, 2200, 267, 7551, 14944, 1456, 519, 8699, 540, 8134, 269, 901, 2825, 12159, 666, 723, 22107, 8172, 2360, 267, 18363, 1426, 11800, 543, 5732, 3056, 547, 519, 14486, 540, 1978, 2249, 563, 299, 20235, 10850, 4478, 3653, 2359, 543, 2825, 12526, 723, 1044, 3964, 547, 16102, 1312, 1480, 1072, 543, 8733, 6617, 269, 1717, 267, 11268, 3788, 513, 4161, 267, 3226, 538, 4525, 15877, 9431, 23388, 610, 2200, 269, 901, 19156, 519, 991, 585, 22608, 3800, 547, 2327, 10220, 609, 3653, 2359, 10873, 267, 7258, 7347, 6127, 585, 8066, 3423, 2209, 18177, 563, 11754, 7675, 13818, 3653, 12871, 568, 606, 16122, 602, 7569, 7104, 2962, 267, 711, 1152, 585, 519, 1459, 5108, 855, 849, 585, 519, 2104, 3283, 269, 898, 568, 606, 3390, 602, 7125, 585, 2500, 3653, 2359, 2994, 267, 3102, 3656, 10850, 267, 543, 32344, 7029, 547, 2825, 5126, 585, 9601, 540, 2825, 12526, 563, 10890, 12186, 540, 2552, 8727, 454, 300, 8221, 689, 519, 6514, 540, 13818, 3653, 12871, 267, 3007, 1590, 1631, 581, 5059, 593, 606, 2460, 540, 3160, 4644, 910, 519, 1072, 2360, 540, 12526, 563, 763, 29298, 540, 2825, 12526, 8831, 2484, 3564, 519, 26441, 540, 8733, 3441, 267, 855, 2047, 1764, 1480, 1072, 267, 1419, 8915, 532, 538, 513, 16221, 540, 7025, 29520, 525, 563, 288, 3376, 8552, 540, 1072, 2360, 666, 581, 4767, 267, 8795, 1759, 593, 519, 8515, 267, 8653, 267, 543, 2470, 540, 4598, 269, 1452, 1223, 2039, 689, 8650, 2360, 899, 2960, 8886, 725, 543, 15353, 547, 5312, 2175, 971, 607, 11871, 543, 31895, 17654, 3676, 267, 782, 896, 519, 22597, 540, 7025, 29520, 525, 269, 898, 568, 1898, 547, 4063, 602, 519, 1072, 2360, 616, 711, 11658, 547, 1463, 4598, 855, 666, 849, 581, 4767, 538, 20422, 5481, 267, 3976, 30286, 513, 18205, 3463, 547, 1857, 1072, 563, 11101, 267, 22452, 12580, 616, 2629, 10832, 540, 2825, 12526, 269, 1358, 8915, 538, 3875, 2081, 267, 1519, 7929, 11605, 267, 11959, 267, 9025, 8374, 267, 543, 25012, 21463, 267, 547, 2012, 513, 1906, 269, 634, 12614, 540, 891, 2589, 568, 1419, 16795, 267, 1818, 621, 4101, 547, 3715, 513, 1463, 3095, 547, 2825, 12526, 269, 1717, 267, 513, 4806, 540, 891, 2589, 538, 513, 1880, 10923, 1858, 1419, 6920, 519, 4527, 540, 606, 2825, 8764, 656, 563, 8253, 2406, 267, 519, 3656, 14074, 7282, 2825, 12526, 1590, 2015, 891, 1072, 2360, 267, 3976, 4180, 3617, 13180, 585, 519, 9601, 269, 634, 1876, 1058, 581, 2966, 547, 2232, 711, 1175, 519, 7525, 1072, 2360, 267, 855, 849, 519, 1279, 3856, 543, 5732, 1252, 1049, 5222, 269, 901, 6284, 568, 14063, 538, 4180, 5126, 585, 9601, 267, 10452, 513, 3102, 1620, 540, 519, 14042, 2360, 540, 2825, 12526, 593, 1480, 1072, 563 ]

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

[ 540, 26647, 24327, 11066, 18706, 2059, 609, 519, 12722, 8111, 9679, 11262, 519, 20837, 338, 936, 519, 14967, 8235, 676, 476, 8146, 277, 563, 763, 12054, 514, 3421, 10294, 519, 4095, 31203, 2920, 10363, 543, 15189, 547, 1175, 3398, 519, 2175, 269, 2817, 2126, 729, 3533, 16091, 676, 12722, 689, 519, 12054, 514, 3421, 267, 799, 8507, 538, 519, 8165, 540, 519, 5822, 12054, 514, 1961, 18366, 269, 634, 6370, 8507, 538, 5215, 540, 6634, 543, 4095, 7972, 540, 9489, 24906, 269, 4256, 2666, 729, 1031, 676, 519, 12054, 514, 3421, 543, 7283, 3330, 519, 3162, 269, 898, 5555, 3893, 519, 8921, 12054, 514, 1961, 18366, 607, 1134, 607, 513, 8101, 536, 11171, 547, 6368, 1847, 519, 12054, 514, 3421, 585, 519, 5375, 2136, 2276, 563, 268, 7046, 12474, 454, 268, 3683, 476, 1015, 267, 1822, 5049, 538, 22433, 5396, 602, 616, 1292, 454, 268, 5192, 17676, 7127, 585, 476, 276, 17334, 267, 1175, 1711, 513, 1863, 2272, 563, 21093, 5441, 15894, 454, 2710, 596, 8275, 282, 17850, 760, 282, 1284, 4076, 811, 982, 476, 5392, 12200, 5049, 602, 5965, 835, 547, 7118, 5491, 676, 7688, 602, 568, 7608, 676, 936, 476, 1822, 12621, 267, 476, 273, 543, 9945, 269, 898, 568, 2009, 547, 2119, 540, 2852, 779, 3119, 1079, 1296, 543, 4688, 5215, 1055, 707, 3942, 269, 25175, 949, 5352, 5491, 8386, 7721, 8727, 11735, 689, 2069, 610, 2085, 3942, 563, 4537, 14823, 5491, 585, 519, 9872, 540, 519, 3375, 454, 8253, 2386, 1018, 1153, 596, 6999, 547, 7390, 2705, 286, 5530, 2593, 814, 476, 1911, 271, 338, 540, 9708, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1382, 543, 2816, 3460, 602, 786, 948, 596, 1265, 519, 6280, 602, 568, 2953, 585, 596, 563, 19138, 11120, 738, 625, 267, 26440, 4181, 6902, 2086, 282, 5516, 619, 454, 11917, 1555, 519, 28102, 1239, 596, 991, 547, 1265, 519, 2852, 602, 568, 3617, 269, 0, 10403, 2979, 4245, 543, 2979, 6780, 948, 689, 2596, 2979, 547, 7223, 2676, 613, 5852, 543, 3564, 3267, 476, 274, 17574, 20587, 6726, 2209, 269, 4855, 519, 4845, 602, 454, 10517, 637, 757, 707, 1966, 269, 9373, 519, 2418, 543, 4945, 12433, 269, 3267, 7490, 1224, 938, 454, 763, 5583, 2630, 786, 948, 596, 960, 998, 6871, 9819, 2042, 454, 10175, 1346, 1336, 593, 519, 6871, 3211, 2985, 269, 1306, 596, 3391, 707, 4429, 1862, 9498, 269, 22291, 5850, 593, 875, 547, 5173, 21159, 269, 3267, 540, 519, 1297, 563, 20055, 21984, 1267, 630, 7224, 24263, 2567, 269, 7490, 3446, 1250, 960, 543, 948, 803, 2087, 281, 4429, 8110, 1417, 1797, 829, 3620, 4348, 269, 2422, 602, 1702, 547, 4194, 2042, 899, 1018, 454, 704, 1417, 540, 476, 1626, 568, 476, 275, 888, 13202, 476, 1691, 267, 476, 1001, 276, 3267, 1924, 267, 1577, 803, 1397, 596, 513, 1906, 2241, 12596, 585, 12719, 513, 2600, 538, 10371, 2483, 303, 4041, 17955, 670, 5085, 303, 19294, 267, 670, 8582, 9215, 654, 305, 25492, 11123, 300, 308, 6369, 5442, 12327, 4753, 299, 590, 4047, 4953, 454, 19177, 10613, 281, 20055, 29626, 20587, 1137, 15612, 908, 519, 20587, 720, 540, 513, 454, 2662, 1961, 22998, 7982, 2072, 3245, 513, 20587, 720, 15612, 908, 5494, 870, 338, 26322, 4429, 12648, 519, 7058, 1740, 856, 540, 2600, 9273, 269, 3267, 20587, 18185, 269, 1411, 798, 711, 454, 17647, 3267, 7490, 2015, 5885, 519, 3135, 609, 513, 1507, 21856, 269, 4945, 1934, 585, 4429, 2691, 649, 2161, 834, 8110, 1417, 257, 649, 616, 2731, 6031, 834, 704, 476, 1911, 2668, 2290, 2600, 630, 272, 8472, 1797, 454, 272, 829, 476, 1911, 269, 476, 272, 538, 476, 1911, 476, 272, 260, 540, 713, 1899, 568, 26484, 3267, 7151, 281, 12433, 476, 1839, 260, 540, 476, 3199, 4429, 2414, 5173, 2600, 540, 513, 2698, 630, 328, 4318, 269, 5173, 513, 2600, 3892, 1070, 596, 666, 946, 4429, 4692, 4896, 948, 803, 609, 3169, 14133, 4542, 547, 5173, 5018, 9183, 281, 563, 2252, 596, 991, 547, 2333, 513, 1297, 676, 513, 1978, 6871, 267, 596, 666, 946, 513, 3267, 2111, 454, 1729, 948, 803, 538, 23115, 713, 1775, 530, 13860, 5173, 1942, 7132, 2039, 2600, 952, 476, 272, 268, 4335, 538, 513, 3267, 0, 7437, 519, 29966, 3646, 540, 1585, 3909, 3885, 4098, 538, 519, 31303, 2540, 543, 11173, 2394, 476, 5908, 277, 267, 519, 19176, 1004, 4862, 519, 5048, 540, 519, 22258, 267, 543, 1082, 7608, 621, 5103, 20655, 543, 1256, 2669, 269, 2201, 4873, 476, 866, 267, 476, 2735, 279, 267, 15352, 3627, 6754, 4083, 17374, 1242, 476, 14056, 7606, 12004, 344, 1042, 538, 519, 22733, 2540, 269, 7324, 891, 941, 562, 27197, 29350, 19176, 267, 22221, 28773, 4535, 538, 8050, 543, 10362, 547, 519, 11352, 540, 2776, 18291, 267, 543, 4557, 3943, 28773, 10362, 547, 519, 8303, 14579, 17030, 5980, 269, 7324, 891, 25598, 616, 5216, 5053, 543, 3943, 31967, 267, 15823, 20577, 630, 628, 597, 10117, 3864, 543, 13977, 5498, 1597, 19176, 1070, 543, 15823, 5991, 710, 2482, 1004, 269, 1452, 12004, 344, 3464, 5795, 741, 2729, 711, 1152, 585, 519, 5783, 855, 585, 741, 2197, 607, 1134, 269, 1358, 4951, 602, 789, 4941, 519, 22258, 540, 2441, 547, 1491, 3597, 538, 741, 1004, 543, 3565, 547, 519, 1434, 540, 741, 22657, 269, 2201, 4873, 476, 272, 267, 476, 2735, 280, 267, 891, 13411, 12004, 344, 3464, 941, 27485, 538, 519, 1396, 17790, 11706, 540, 519, 17629, 5783, 593, 5437, 476, 2190, 628, 563, 763, 1390, 9006, 3130, 609, 799, 853, 269, 22956, 814, 1044, 28165, 585, 1082, 6502, 543, 519, 1297, 540, 5621, 1513, 543, 13039, 782, 936, 519, 1158, 602, 616, 6131, 538, 1010, 3965, 616, 16499, 517, 10118, 547, 1010, 8748, 3267, 3136, 2542, 5415, 12142, 540, 519, 4303, 454, 27746, 267, 849, 1634, 607, 853, 269, 6307, 519, 7910, 267, 519, 645, 1652, 539, 7910, 6307, 267, 12142, 6307, 267, 6307, 12624, 540, 2696, 610, 519, 7910, 6307, 568, 5156, 676, 1082, 547, 581, 519, 6574, 540, 782, 4168, 25598, 269, 634, 7910, 12624, 834, 13195, 267, 1310, 1200, 12312, 267, 608, 531, 1540, 676, 10143, 11419, 1657, 782, 23109, 543, 3267, 3136, 2542, 5415, 21058, 29513, 454, 306, 5593, 7812, 519, 5246, 13370, 3884, 1405, 513, 23920, 267, 855, 2864, 646, 568, 606, 21425, 267, 543, 519, 6205, 540, 782, 23109, 543, 540, 519, 7952, 540, 2696, 269, 901, 568, 1018, 519, 2140, 834, 19425, 13370, 257, 1797, 267, 602, 646, 568, 1657, 782, 519, 1866, 538, 7584, 269, 853, 269, 7812, 814, 2185, 1292, 9021, 610, 13646, 267, 607, 649, 3267, 3136, 2542, 454, 310, 573, 578, 540, 21157, 945, 11324, 4240, 519, 3788, 540, 853, 269, 966, 22654, 267, 12004, 344, 1042, 538, 930, 4505, 20655, 269, 2701, 1671, 15590, 1441, 519, 23920, 781, 3788, 538, 1200, 1753, 538, 667, 5028, 267, 538, 16850, 269, 1879, 513, 5939, 729, 6131, 547, 853, 269, 966, 22654, 267, 7581, 641, 21358, 781, 1762, 5067, 5747, 267, 543, 519, 23920, 14393, 1529, 3585, 3357, 547, 3267, 3136, 2542, 454, 763, 19466, 5259, 1728, 19282, 19212, 267, 1634, 607, 834, 1492, 9253, 617, 626, 257, 1317, 540, 519, 8536, 15885, 799, 616, 11911, 547, 1864, 269, 589, 5065, 540, 16850, 267, 646, 729, 540, 6014, 16350, 543, 2968, 513, 632, 13154, 538, 519, 5939, 693, 645, 2044, 339, 639, 543, 1287, 513, 17308, 538, 31862, 269, 1261, 4166, 9715, 513, 3267, 3136, 2542, 454, 3528, 21244, 1230, 333, 14709, 267, 630, 30210, 8416, 994, 2252, 596, 616, 606, 1977, 267, 2221, 568, 21175, 269, 16593, 2685, 2221, 596, 723, 1500, 513, 1448, 547, 7390, 7136, 543, 547, 2285, 7064, 547, 2696, 585, 782, 3571, 25736, 269, 1403, 596, 616, 711, 1977, 267, 2221, 781, 9702, 568, 513, 12576, 602, 2696, 19262, 7064, 689, 782, 3571, 5137, 269, 1284, 7281, 596, 786, 3267, 3136, 2542, 5415, 4168, 29513, 1299, 32445, 0, 20597, 760, 547, 12474, 454, 763, 21917, 945, 729, 575, 21724, 267, 519, 25803, 2759, 1055, 689, 741, 10424, 2906, 910, 543, 519, 835, 945, 5795, 1010, 1272, 547, 4688, 1010, 7385, 269, 1411, 3513, 581, 20109, 676, 891, 2984, 540, 875, 519, 3689, 2622, 2782, 4299, 1390, 12372, 563, 26212, 547, 519, 2112, 267, 19258, 6759, 330, 729, 21409, 14916, 267, 10655, 543, 25786, 12563, 2575, 269, 634, 2112, 779, 12176, 4547, 606, 1439, 547, 1010, 30295, 543, 646, 4682, 1394, 547, 21882, 267, 1603, 513, 29478, 267, 1412, 763, 8381, 523, 13584, 262, 543, 519, 2034, 5569, 14415, 564, 269, 1261, 568, 3182, 3293, 1934, 10655, 8964, 593, 513, 13093, 1748, 689, 23826, 27142, 269, 17421, 281, 5192, 1399, 454, 303, 10062, 676, 9365, 0, 17686, 2888, 538, 519, 589, 3122, 1355, 25028, 1267, 538, 519, 30563, 1373, 4625, 10032, 543, 695, 13593, 883, 9118, 4773, 269, 8950, 13502, 3589, 602, 1034, 540, 891, 15998, 786, 5555, 2887, 883, 519, 6129, 269, 2368, 540, 873, 267, 2705, 267, 786, 5734, 519, 3047, 1310, 6634, 540, 1296, 607, 14368, 2572, 269, 898, 568, 2009, 602, 713, 1223, 849, 2049, 1454, 4505, 269, 769, 1978, 7158, 538, 519, 589, 3122, 1355, 25028, 267, 519, 28835, 942, 540, 606, 1843, 1472, 519, 3141, 568, 513, 2789, 540, 519, 10739, 540, 519, 9649, 4541, 18347, 269, 634, 865, 10777, 20771, 16982, 666, 1291, 547, 513, 17522, 538, 519, 1843, 779, 10739, 269, 898, 666, 1689, 519, 10739, 865, 1454, 602, 519, 1843, 1131, 3444, 519, 3047, 779, 10739, 543, 2458, 728, 609, 519, 3047, 269, 5455, 2394, 2221, 267, 950, 713, 1522, 2049, 814, 1152, 1044, 27985, 7229, 269, 1809, 267, 513, 1007, 6482, 1505, 2919, 676, 513, 1382, 2319, 693, 519, 4659, 585, 1772, 582, 2100, 30578, 693, 661, 8025, 2098, 584, 747, 666, 1631, 3142, 811, 22979, 547, 519, 1641, 269, 634, 2319, 814, 3964, 602, 621, 1223, 1491, 1175, 513, 1906, 4627, 8536, 1296, 585, 971, 606, 1843, 547, 2458, 728, 609, 938, 4541, 563, 3519, 1417, 5928, 540, 15626, 9362, 2995, 519, 2951, 942, 540, 606, 20503, 454, 17686, 29850, 15998, 689, 30563, 538, 2230, 616, 7683, 1373, 5734, 676, 17184, 5982, 269, 901, 5932, 15626, 9362, 689, 6046, 6547, 269, 1452, 9362, 798, 711, 4283, 883, 1022, 2417, 3114, 6547, 269, 4475, 267, 1282, 519, 3003, 8653, 540, 519, 5982, 267, 1775, 4318, 269, 519, 2951, 942, 540, 519, 23650, 538, 2230, 267, 789, 18645, 538, 519, 23650, 269, 2991, 7893, 519, 5834, 540, 891, 1124, 6817, 14421, 8328, 16931, 9362, 267, 519, 2951, 942, 689, 3312, 1560, 547, 3047, 666, 581, 7229, 269, 634, 2362, 519, 5834, 267, 519, 3476, 519, 14368, 924, 729, 25093, 563, 3682, 4472, 320, 681, 6504, 1923, 620, 17304, 454, 288, 1007, 4666, 7997, 538, 519, 4095, 7909, 1223, 1764, 2104, 7286, 8770, 3666, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 7286, 631, 1731, 549, 6798, 860, 773, 454, 22498, 781, 3642, 300, 32625, 2038, 1100, 551, 559, 1075, 550, 4672, 12269, 936, 19778, 454, 4962, 269, 1321, 269, 1001, 277, 1923, 8331, 27798, 15957, 731, 6611, 22947, 4741, 454, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665 ]

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

[ 513, 1906, 610, 16559, 8988, 29566, 17334, 327, 1228, 2371, 547, 1852, 610, 798, 711, 723, 513, 2666, 13739, 10936, 518, 269, 4014, 20793, 301, 1281, 3132, 513, 1804, 7274, 540, 6079, 267, 519, 12880, 2707, 540, 1007, 11710, 568, 922, 3597, 23810, 269, 18234, 29566, 17334, 327, 1228, 568, 3262, 676, 5072, 543, 5452, 267, 799, 616, 5645, 676, 2831, 267, 5017, 543, 1216, 267, 543, 666, 581, 20715, 547, 6006, 269, 589, 10319, 1788, 1063, 29517, 12729, 24322, 543, 12653, 337, 3518, 3805, 324, 8092, 3249, 267, 609, 7616, 689, 29133, 543, 700, 12083, 5245, 630, 300, 6369, 264, 543, 8241, 26741, 16743, 630, 288, 310, 296, 264, 568, 13389, 8988, 29566, 17334, 327, 1228, 1852, 2066, 2185, 2829, 269, 6884, 4946, 606, 7755, 340, 2779, 568, 6225, 543, 3006, 621, 568, 17672, 282, 543, 972, 568, 606, 1148, 547, 6616, 875, 547, 1655, 11766, 891, 21187, 269, 9291, 23583, 779, 476, 1015, 9669, 585, 26805, 1975, 2001, 3220, 3424, 15566, 11423, 519, 10936, 7382, 609, 1216, 547, 519, 1697, 1377, 609, 989, 2787, 269, 589, 1246, 5346, 10936, 538, 15489, 8060, 556, 6879, 334, 1824, 543, 2337, 2196, 1524, 519, 3597, 14425, 2223, 1767, 6004, 14332, 6577, 269, 18234, 29566, 17334, 327, 1228, 568, 2352, 547, 1852, 609, 10786, 8336, 1317, 540, 922, 3597, 1062, 269, 2422, 4365, 23004, 547, 1217, 707, 10936, 3664, 269, 1677, 5965, 519, 10936, 7848, 267, 6445, 519, 10936, 7382, 3368, 2407, 540, 1216, 543, 1039, 519, 5551, 2179, 540, 10786, 8336, 543, 1147, 2399, 656, 269, 15233, 606, 10786, 8336, 950, 5210, 616, 476, 2004, 547, 476, 5952, 5232, 18278, 543, 4764, 568, 711, 4397, 585, 693, 2547, 835, 1554, 269, 8988, 29566, 17334, 327, 1228, 269, 1717, 267, 519, 7887, 2883, 2530, 1282, 30574, 2356, 2501, 689, 513, 8959, 10936, 2816, 269, 15863, 547, 8836, 6513, 10613, 281, 4980, 10474, 786, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 630, 23613, 1841, 517, 543, 21025, 20044, 773, 476, 2735, 272, 1040, 13852, 611, 30358, 2030, 849, 1634, 607, 16458, 569, 17334, 327, 1228, 267, 568, 513, 21064, 267, 10786, 17675, 2030, 269, 18234, 29566, 17334, 327, 1228, 568, 513, 18290, 602, 779, 1044, 4189, 938, 521, 871, 12899, 2223, 14105, 3081, 269, 1261, 568, 513, 1821, 719, 4759, 540, 519, 3368, 332, 3019, 1714, 1597, 14316, 543, 7015, 547, 14667, 269, 24768, 640, 568, 711, 4503, 2390, 15018, 269, 18234, 29566, 17334, 327, 1228, 630, 306, 269, 1605, 1725, 604, 565, 1756, 264, 568, 11108, 538, 602, 519, 22691, 4829, 568, 811, 6757, 982, 519, 3039, 269, 901, 1505, 1498, 32462, 543, 942, 10438, 3096, 1100, 6464, 269, 1975, 2001, 8988, 29566, 17334, 327, 1228, 538, 519, 5614, 950, 519, 2371, 2253, 547, 8768, 269, 11298, 10691, 9501, 6938, 312, 269, 18234, 29566, 17334, 327, 1228, 568, 513, 21064, 602, 9428, 476, 272, 547, 476, 274, 3952, 7381, 609, 3043, 267, 4552, 344, 3762, 543, 11710, 269, 1879, 11544, 10786, 15969, 621, 568, 1271, 602, 1142, 1587, 568, 1869, 4294, 693, 519, 2407, 6003, 2557, 547, 2327, 1164, 9019, 269, 18234, 29566, 21009, 332, 3019, 568, 606, 1714, 325, 2951, 518, 2366, 547, 1265, 14667, 715, 2074, 327, 1228, 269, 634, 21906, 3697, 2030, 814, 13711, 6879, 12184, 267, 20425, 11710, 609, 5323, 14563, 267, 2947, 2000, 984, 539, 267, 13711, 5810, 269, 30495, 543, 27892, 6735, 666, 16401, 8988, 29566, 17334, 327, 1228, 936, 5162, 543, 8488, 11944, 538, 5614, 267, 2705, 8988, 29566, 17334, 327, 1228, 11710, 786, 10836, 1282, 4832, 952, 972, 568, 1100, 6735, 585, 4832, 11811, 269, 21277, 1027, 676, 7147, 589, 261, 300, 3397, 686, 16908, 18058, 267, 8281, 513, 17002, 7888, 4528, 540, 713, 8313, 281, 1284, 539, 645, 31255, 281, 1215, 547, 3026, 23018, 1125, 18234, 29566, 715, 2074, 327, 1228, 269, 29247, 6236, 950, 7311, 7199, 10786, 15969, 538, 1970, 5860, 3871, 17334, 327, 1228, 814, 1082, 2818, 267, 20715, 269, 11313, 556, 1934, 547, 948, 1118, 10888, 519, 6370, 1996, 7693, 18047, 2241, 519, 6694, 1862, 769, 4993, 1412, 338, 9390, 23898, 267, 2523, 538, 14605, 7307, 4610, 782, 6080, 267, 972, 616, 930, 4052, 538, 256, 3487, 21871, 14274, 543, 10412, 4610, 476, 1428, 267, 476, 1001, 276, 267, 476, 276, 281, 1321, 6751, 29269, 7382, 3575, 907, 1234, 6874, 805, 689, 942, 547, 942, 6757, 547, 2831, 267, 609, 12418, 811, 11630, 982, 13265, 610, 256, 16340, 4751, 10936, 518, 18047, 585, 10286, 7693, 12696, 2014, 1591, 2669, 1152, 581, 2808, 538, 2887, 578, 3871, 1991, 547, 7031, 256, 1280, 1036, 9512, 1761, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 666, 1332, 689, 3597, 15998, 609, 2249, 256, 8189, 619, 30271, 540, 7147, 23101, 908, 3575, 5402, 1587, 568, 1869, 4294, 693, 2407, 6003, 2557, 581, 256, 1403, 972, 616, 930, 4052, 7648, 538, 6388, 538, 519, 2038, 476, 5002, 271, 338, 946, 256, 717, 4900, 20005, 547, 476, 272, 547, 476, 274, 3952, 7381, 21064, 538, 519, 7848, 547, 1665, 519, 2371, 547, 256, 2142, 523, 4189, 938, 521, 871, 12899, 267, 9232, 1767, 6004, 14332, 6577, 630, 11083, 26394, 3738, 835, 269, 3571, 8498, 568, 2484, 689, 966, 1638, 334, 594, 12047, 12593, 609, 476, 272, 267, 1220, 268, 272, 267, 8517, 2249, 5001, 267, 855, 711, 547, 519, 5046, 268, 866, 1862, 22032, 909, 547, 476, 1428, 3275, 3162, 12986, 18290, 7020, 2029, 971, 607, 519, 1284, 539, 572, 2131, 518, 10378, 4502, 269, 16797, 569, 2899, 28041, 8060, 556, 6879, 334, 1824, 543, 2337, 2196, 1524, 519, 3597, 1062, 666, 1106, 9496, 19512, 13802, 1331, 4999, 256, 12540, 1231, 543, 616, 632, 1061, 1947, 6653, 693, 1101, 11116, 2371, 950, 789, 2253, 547, 8768, 538, 519, 3037, 585, 909, 922, 29755, 6445, 519, 10936, 7848, 267, 6445, 519, 7382, 3575, 5402, 9678, 543, 256, 25792, 547, 2061, 6079, 1305, 13802, 519, 17334, 327, 1228, 1920, 2837, 538, 951, 687, 1018, 19754, 8988, 29566, 17334, 327, 1228, 1106, 607, 23863, 4485, 786, 256, 25925, 568, 1152, 2960, 2620, 3575, 829, 23505, 267, 476, 3192, 279, 3003, 2030, 18290, 2338, 543, 1862, 3117, 30872, 538, 2887, 578, 3871, 1991, 547, 9544, 7031, 610, 1007, 2250, 999, 19114, 543, 616, 561, 766, 8032, 547, 1073, 14075, 1862, 8241, 10568, 1606, 515, 788, 7997, 616, 1151, 29516, 267, 18682, 517, 1231, 267, 543, 17219, 540, 476, 273, 267, 275, 5937, 267, 30817, 1862, 15783, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 827, 5722, 540, 476, 1015, 256, 12518, 829, 23505, 15649, 607, 789, 2408, 543, 5526, 689, 949, 547, 5239, 27672, 517, 543, 21025, 20044, 773, 3738, 256, 16588, 540, 519, 1560, 2597, 13066, 540, 10786, 8336, 543, 1147, 2399, 656, 1587, 568, 1869, 4294, 693, 2407, 2557, 256, 3689, 11116, 950, 5210, 9765, 476, 3445, 5232, 674, 610, 950, 519, 2371, 835, 1862, 966, 710, 29288, 5013, 18694, 10003, 2515, 543, 7841, 1811, 5013, 18694, 17164, 762, 2504, 5013, 18694, 15233, 281, 8988, 29566, 17334, 327, 1228, 1058, 581, 10936, 539, 538, 7848, 269, 9866, 5703, 1875, 2275, 8707, 2409, 585, 8851, 540, 1034, 21064, 1100, 343, 1190, 18047, 270, 20815, 267, 568, 10825, 29517, 1862, 1879, 5210, 9765, 476, 3445, 1018, 19754, 8988, 29566, 17334, 327, 1228, 674, 610, 950, 519, 2371, 2253, 547, 8768, 543, 17219, 476, 273, 267, 275, 5937, 1421, 18290, 645, 31255, 10936, 518, 2836, 12299, 6651, 17824, 880, 630, 3006, 3043, 267, 1018, 19754, 8988, 29566, 17334, 327, 1228, 10805, 585, 519, 1852, 540, 8988, 29566, 267, 256, 10738, 519, 835, 1587, 4647, 9848, 874, 657, 622, 5013, 19298, 8832, 9274, 543, 10412, 5013, 18694, 15604, 9274, 543, 12555, 5013, 18694, 2107, 577, 1841, 11903, 29288, 269, 26451, 1346, 15841, 593, 13009, 619, 610, 593, 2185, 2914, 31856, 782, 268, 614, 1778, 6472, 630, 11083, 26394, 23511, 630, 476, 272, 476, 2567, 4366, 268, 2004, 14468, 18290, 6954, 5452, 10786, 8336, 2472, 543, 17967, 12331, 540, 2962, 1369, 519, 835, 1587, 711, 513, 269, 15765, 12146, 267, 1875, 23760, 545, 1147, 2399, 656, 538, 519, 5614, 950, 519, 2371, 2253, 547, 8768, 556, 2389, 805, 689, 547, 269, 1411, 1058, 581, 2451, 24240, 568, 12630, 1991, 547, 741, 1852, 18290, 4717, 13541, 5567, 1862, 15863, 547, 8836, 1852, 2409, 281, 4980, 10474, 786, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 2371, 547, 1852, 10786, 8336, 1862, 634, 3498, 968, 20847, 9232, 5196, 6213, 610, 1875, 339, 13759, 2127, 1852, 540, 17334, 327, 1228, 256, 476, 277, 3108, 519, 22691, 4829, 1373, 519, 1034, 14427, 18047, 585, 10286, 7693, 12696, 267, 606, 2937, 4557, 269, 4107, 6757, 267, 20425, 11710, 609, 5323, 14563, 267, 2947, 2000, 984, 539, 267, 13711, 5810, 15331, 1862, 12580, 540, 14686, 17334, 327, 1228, 1510, 513, 1966, 2824, 630, 543, 2638, 3738, 519, 1071, 1513, 652, 10936, 2298, 602, 786, 1683, 1852, 256, 4706, 1761, 607, 513, 6211, 1852, 8665, 540, 8988, 29566, 17334, 327, 1228, 568, 513, 18290, 602, 11313, 521, 2352, 1862, 1677, 581, 2500, 2249, 540, 17334, 327, 1228, 267, 3109, 17334, 327, 1228, 267, 543, 1281, 711, 2258, 622, 519, 991, 547, 556, 2389, 805, 689, 547, 256, 12866, 1296, 855, 865, 2484, 713, 1032, 594, 723, 6368, 16309, 543, 1256, 3564, 593, 1862, 1677, 6006, 15418, 5301, 543, 1058, 711, 581, 593, 3601, 1141, 1453, 543, 2831, 666, 5732, 3824, 652, 621, 1200, 547, 256, 5403, 7232, 1067, 7217, 30012, 6322, 693, 3376, 29566, 18290, 1852, 1982, 568, 547, 2196, 1524, 519, 6079, 4871, 1765, 4777, 532, 3388, 1018, 19754, 8988, 29566, 17334, 327, 1228, 547, 2061, 1305, 1862, 21079, 519, 7145, 540, 7755, 12320, 1218, 3622, 4422, 796, 27677, 5367, 1373, 519, 1034, 6757, 267, 1294, 8313, 269, 26653, 3368, 2407, 540, 1216, 543, 5567, 2877, 585, 1739, 7031, 543, 2066, 1862, 1975, 2001, 7382, 3368, 2407, 540, 1216, 543, 1039, 519, 5551, 2179, 540, 10786, 8336, 1147, 2399, 656, 269, 25925, 568, 1152, 2960, 2620, 4648, 609, 7147, 31913, 22362, 543, 519, 2030, 267, 1634, 269, 10022, 540, 11925, 616, 9709, 585, 1082, 540, 519, 8988, 29566, 17334, 327, 1228, 28383, 3335, 7693, 269, 23067, 538, 3070, 616, 10805, 585, 519, 3498, 689, 4259, 6079, 519, 6978, 2627, 568, 4988, 609, 5182, 11057, 24827, 621, 269, 476, 1015, 17529, 829, 23505, 568, 547, 2196, 1524, 519, 6079, 4871, 1765, 4777, 532, 3388, 2009, 547, 2061, 6079, 907, 590, 777, 517, 1231, 267, 543, 693, 1886, 710, 6438, 6878, 547, 5276, 267, 3003, 547, 5609, 10663, 7579, 320, 15697, 267, 3752, 534, 636, 1714, 2801, 1725, 604, 565, 1756, 3738, 513, 269, 717, 4900, 1282, 5614, 543, 4832, 543, 3096, 3407, 7509, 543, 5567, 609, 2371, 1862, 1677, 5239, 533, 4459, 569, 21064, 538, 519, 17334, 327, 1228, 2030, 267, 849, 1634, 607, 11350, 611, 30358, 267, 568, 3586, 540, 1862, 4706, 2707, 8594, 547, 1453, 267, 607, 789, 616, 10694, 543, 616, 561, 766, 8032, 547, 7522, 569, 1073, 14075, 849, 4363, 3114, 1862, 4024, 711, 11593, 6146, 8988, 29566, 17334, 327, 1228, 630, 590, 269, 1605, 1725, 604, 565, 1756, 568, 6757, 693, 1152, 476, 271, 269, 272, 4939, 540, 519, 1560, 2807, 267, 476, 276, 281, 1321, 6751, 29269, 610, 950, 519, 11195, 568, 2630, 476, 1015, 2600, 1212, 9429, 3597, 18450, 519, 1862, 1656, 666, 3715, 1007, 2371, 689, 1360, 1507, 3597, 15998, 1761, 1764, 593, 6694, 23511, 3115, 16615, 2899, 3425, 3548, 621, 982, 13265, 547, 2185, 15708, 616, 20715, 543, 1058, 711, 581, 3601, 269, 18650, 1369, 513, 1906, 610, 16559, 8988, 29566, 17334, 327, 1228, 7522, 569, 1073, 14075, 1271, 547, 1174, 519, 1587, 540, 256, 1323, 26195, 1195, 547, 1265, 14667, 17334, 327, 1228, 2061, 11259, 18047, 689, 4259, 6079, 5526, 689, 949, 547, 5239, 12242, 269, 15733, 267, 616, 10805, 585, 519, 3498, 666, 3715, 1007, 2371, 689, 1360, 1507, 3597, 15998, 4320, 476, 1015, 269, 11087, 806, 7693, 11729, 543, 568, 20715, 547, 12418, 267, 13265, 543, 23161, 544, 4875, 519, 269, 1772, 2484, 689, 966, 1638, 334, 594, 12047, 1044, 3843, 547, 1205, 7759, 540, 519, 1714, 1597, 24222, 6632, 14456, 11491, 2737, 543, 20022, 30211, 786, 991, 989, 2787, 547, 1832, 873, 538, 3070, 6464, 538, 835, 666, 256, 10369, 616, 513, 4999, 540, 1079, 610, 811, 12331, 540, 2962, 543, 3795, 4170, 17334, 327, 1228, 2371, 829, 23505, 966, 1638, 334, 1862, 1772, 1634, 547, 2014, 1591 ]

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

[ 1259, 540, 6721, 1164, 19454, 4496, 563, 1692, 1082, 10101, 540, 7513, 12547, 267, 6970, 302, 267, 666, 581, 3812, 689, 476, 275, 269, 736, 575, 540, 7513, 4496, 543, 476, 272, 269, 2568, 575, 540, 5135, 3154, 286, 4280, 676, 661, 27996, 593, 20029, 17621, 476, 2641, 267, 476, 1220, 279, 6314, 4149, 1729, 747, 589, 476, 272, 269, 2568, 276, 326, 3732, 540, 3819, 7513, 19941, 543, 7513, 17296, 7848, 729, 454, 27860, 20543, 3812, 676, 1164, 20589, 3440, 17819, 11831, 631, 3739, 7621, 728, 15089, 641, 14895, 634, 3440, 2173, 3739, 540, 536, 1143, 3578, 630, 7656, 264, 12547, 543, 22670, 32340, 538, 713, 960, 5012, 547, 2571, 6419, 631, 333, 18693, 23212, 609, 11425, 6438, 631, 333, 302, 791, 12053, 543, 3810, 796, 29446, 15885, 563, 9773, 6458, 4496, 23465, 609, 1216, 547, 1106, 4396, 7513, 28355, 543, 7250, 3154, 269, 6970, 1341, 476, 273, 295, 6348, 2173, 13926, 12547, 1341, 670, 273, 302, 512, 1716, 776, 3679, 630, 306, 11853, 264, 513, 269, 715, 273, 302, 274, 1341, 670, 273, 302, 476, 273, 670, 17472, 273, 536, 269, 715, 273, 302, 276, 1341, 670, 273, 302, 476, 273, 670, 17472, 476, 274, 524, 269, 2910, 273, 1341, 670, 273, 302, 670, 273, 4596, 274, 476, 1321, 21023, 532, 15733, 281, 3503, 454, 273, 1879, 7513, 19941, 568, 12699, 621, 10920, 5099, 547, 1106, 7513, 12547, 543, 3327, 8166, 269, 901, 5114, 666, 581, 6719, 676, 519, 1739, 3830, 281, 6970, 4596, 476, 274, 630, 338, 264, 9890, 6970, 302, 4433, 264, 2910, 476, 273, 630, 326, 264, 630, 288, 678, 2418, 281, 6970, 476, 2412, 267, 744, 476, 1626, 267, 595, 476, 1321, 264, 513, 12433, 519, 631, 678, 476, 274, 3097, 2691, 513, 4496, 23465, 609, 5135, 267, 513, 4496, 12547, 3029, 269, 634, 2489, 3830, 585, 713, 5114, 568, 281, 4496, 1341, 5135, 9890, 4496, 12547, 269, 2368, 8407, 786, 2746, 609, 5135, 950, 789, 6633, 269, 1452, 6547, 616, 1572, 4172, 560, 542, 6547, 269, 5565, 1806, 540, 4172, 560, 542, 454, 19770, 779, 18666, 540, 17059, 3415, 12547, 8593, 476, 276, 269, 1724, 260, 1032, 593, 1032, 547, 476, 1240, 267, 278, 6246, 544, 339, 538, 670, 272, 267, 4951, 1239, 689, 3624, 9821, 16432, 543, 7229, 676, 590, 12613, 269, 31245, 540, 6469, 17059, 3415, 2468, 6448, 476, 4200, 269, 276, 260, 538, 3624, 554, 2642, 693, 513, 3818, 4458, 1970, 540, 476, 4029, 267, 16020, 586, 10224, 8276, 339, 538, 4873, 543, 2038, 5147, 267, 1354, 6450, 15929, 547, 476, 3451, 267, 7742, 586, 10224, 8276, 339, 607, 540, 5147, 476, 2190, 267, 2687, 547, 590, 12613, 10526, 563, 1278, 4496, 12547, 568, 4401, 263, 7656, 264, 12547, 269, 901, 3568, 4401, 263, 7656, 264, 12274, 630, 8722, 274, 266, 264, 543, 12547, 12274, 630, 302, 273, 268, 1040, 4826, 568, 3773, 547, 930, 540, 519, 7513, 12547, 3812, 538, 513, 1184, 1634, 607, 2048, 16435, 1136, 9957, 634, 1587, 540, 713, 5114, 568, 1031, 547, 1118, 29147, 269, 6970, 302, 4433, 264, 1341, 670, 273, 302, 454, 19686, 2986, 6987, 3555, 13242, 1677, 5136, 1555, 25289, 3245, 4706, 20957, 14086, 540, 6886, 543, 2409, 540, 25935, 540, 8407, 875, 798, 649, 1349, 4401, 689, 922, 7777, 22714, 899, 519, 4401, 12547, 22714, 688, 14670, 924, 561, 714, 523, 603, 928, 7513, 19941, 547, 4894, 1978, 23606, 899, 21958, 454, 313, 4532, 568, 606, 3693, 531, 4496, 269, 898, 568, 7396, 593, 519, 11270, 545, 7305, 607, 834, 313, 333, 2437, 609, 606, 10570, 8356, 518, 540, 476, 1789, 543, 606, 10570, 2597, 540, 476, 4792, 269, 4391, 267, 543, 621, 5283, 1206, 693, 476, 4281, 279, 674, 630, 22213, 595, 1040, 2098, 4532, 568, 2356, 513, 12457, 17285, 2681, 267, 855, 621, 666, 581, 25509, 547, 513, 21743, 8988, 561, 13831, 269, 769, 2470, 454, 291, 8283, 1500, 513, 13594, 540, 1793, 8898, 18654, 1496, 5632, 6458, 12547, 267, 5594, 5848, 2989, 547, 1106, 7513, 28355, 316, 543, 2699, 12547, 540, 16035, 1496, 1067, 322, 1722, 630, 2862, 264, 12547, 4940, 630, 274, 264, 1261, 1500, 513, 4965, 538, 519, 13594, 543, 5116, 827, 476, 274, 269, 276, 10101, 540, 16035, 4496, 972, 547, 957, 607, 606, 19650, 563, 27848, 878, 3679, 1341, 7513, 9890, 7513, 24277, 1341, 7250, 634, 6070, 602, 568, 3812, 5673, 2390, 799, 3679, 543, 799, 4496, 2746, 269, 634, 1739, 3349, 2488, 513, 5758, 540, 519, 2012, 540, 519, 6070, 3812, 676, 1114, 6547, 1063, 7408, 543, 8407, 269, 670, 842, 454, 9773, 6458, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 476, 1001, 279, 268, 1556, 268, 3066, 17972, 540, 7513, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 281, 4400, 21252, 269, 7201, 519, 1482, 8737, 3803, 2450, 543, 519, 1482, 5179, 1379, 267, 519, 4390, 540, 7513, 12547, 1984, 270, 5632, 6458, 12547, 8869, 8860, 1984, 568, 7466, 607, 1454, 607, 15191, 1984, 267, 11544, 32291, 543, 3440, 1984, 267, 543, 1648, 4616, 8519, 476, 1789, 18336, 280, 270, 273, 270, 1001, 274, 6440, 6333, 602, 7513, 4496, 23465, 609, 5135, 3154, 538, 519, 2011, 547, 1106, 7513, 12547, 269, 14597, 649, 2746, 476, 275, 269, 3445, 12387, 7513, 609, 476, 275, 269, 876, 12387, 5135, 3154, 269, 14419, 519, 8356, 518, 540, 18253, 540, 7513, 12547, 3812, 1310, 519, 5114, 568, 2347, 563, 763, 2627, 540, 536, 2044, 961, 1756, 4496, 568, 4988, 609, 513, 6094, 4494, 540, 12547, 602, 2337, 2149, 519, 4496, 689, 4323, 676, 2011, 269, 898, 1281, 711, 12444, 1125, 538, 2011, 1256, 693, 476, 7785, 9180, 269, 1717, 267, 32314, 536, 2044, 961, 1756, 4496, 1281, 6633, 538, 2011, 547, 2285, 513, 7848, 540, 3043, 536, 2044, 961, 1756, 12547, 267, 2142, 302, 267, 543, 536, 2044, 961, 1756, 6491, 20183, 267, 2142, 476, 274, 715, 476, 273, 4586, 10907, 573, 543, 513, 4496, 19941, 8838, 1308, 15331, 281, 634, 5114, 540, 7408, 609, 3327, 919, 2561, 541, 9850, 543, 2326, 9540, 5666, 540, 11256, 8869, 630, 338, 18754, 6396, 28392, 6529, 519, 6765, 8546, 998, 519, 12285, 3247, 704, 269, 32449, 18654, 4248, 883, 835, 540, 519, 1449, 13740, 563, 1240, 270, 278, 270, 1001, 274, 6440, 634, 5135, 12274, 23271, 538, 519, 6070, 6028, 519, 4496, 3297, 267, 543, 713, 5012, 547, 519, 4277, 8367, 602, 4496, 27911, 666, 581, 4389, 2047, 547, 519, 4496, 17033, 676, 519, 946, 540, 9211, 269, 6201, 616, 2016, 585, 519, 5786, 540, 24489, 8166, 267, 1990, 597, 935, 1756, 8166, 267, 26388, 12547, 543, 562, 328, 984, 1756, 12547, 543, 676, 11544, 12547, 32340, 1927, 543, 4227, 519, 6404, 11741, 267, 23212, 6693, 9773, 6458, 1543, 538, 14680, 8869, 269, 7799, 9693, 585, 1383, 568, 4646, 689, 22803, 3788, 971, 607, 16115, 543, 7729, 30416, 5450, 18982, 545, 7725, 7945, 607, 18899, 1793, 622, 14415, 924, 845, 950, 513, 4224, 2527, 568, 16271, 547, 1390, 3002, 543, 2604, 634, 9030, 3693, 538, 519, 0, 12041, 19964, 281, 3046, 2284, 7065, 6350, 454, 12041, 19964, 281, 3046, 2284, 7065, 6350, 454, 294, 636, 2068, 568, 513, 1455, 6161, 269, 717, 636, 2068, 666, 2014, 1082, 824, 1072, 2042, 267, 971, 607, 973, 5338, 14779, 267, 11926, 14779, 267, 543, 10690, 4522, 563, 2026, 707, 14779, 12115, 267, 789, 3513, 9395, 523, 1472, 707, 10690, 5694, 910, 865, 952, 596, 723, 513, 10690, 5694, 267, 798, 711, 11784, 563, 2414, 8430, 513, 16516, 13393, 267, 3717, 547, 707, 11290, 1318, 2476, 269, 1703, 781, 2141, 513, 4960, 602, 596, 666, 4688, 707, 3138, 657, 2989, 5694, 1210, 513, 5959, 10943, 842, 610, 676, 7738, 909, 519, 10733, 1858, 865, 789, 666, 1191, 531, 519, 5694, 269, 6168, 519, 2278, 454, 2005, 568, 1454, 4443, 547, 2697, 519, 3597, 2014, 540, 513, 4503, 5694, 543, 585, 707, 11290, 547, 3927, 2232, 621, 269, 634, 3339, 3123, 540, 5694, 3138, 657, 2287, 1331, 3248, 20540, 2632, 4345, 267, 513, 10733, 2068, 267, 666, 2014, 11029, 2042, 971, 607, 5694, 26252, 525, 610, 10690, 4522, 563, 294, 636, 2068, 568, 3361, 676, 6553, 689, 20715, 15799, 269, 634, 14779, 666, 7485, 2476, 689, 519, 4522, 267, 17021, 621, 2352, 610, 7543, 585, 596, 547, 2973, 873, 563, 763, 2067, 31289, 532, 540, 707, 4522, 1223, 7654, 581, 4503, 538, 519, 2680, 602, 596, 20836, 610, 804, 26067, 707, 4522, 1282, 519, 3781, 563, 5938, 996, 18655, 543, 10265, 7063, 666, 1419, 3142, 827, 5694, 3441, 610, 2530, 269, 1358, 616, 811, 2693, 547, 1995, 4522, 2530, 563, 2005, 568, 519, 3119, 2601, 3297, 1034, 5959, 2042, 269, 18648, 5711, 9882, 666, 1291, 513, 1268, 547, 723, 24571, 3022, 610, 7508, 4522, 563, 10303, 540, 1312, 4008, 10391, 2564, 2175, 267, 5642, 3448, 5860, 666, 6175, 543, 1831, 811, 11630, 547, 18655, 269, 13809, 540, 4522, 666, 2049, 950, 519, 5642, 4478, 835, 781, 4522, 19380, 922, 5860, 269, 901, 2783, 568, 811, 11342, 538, 2021, 945, 723, 4810, 17441, 2242, 936, 741, 2729, 267, 543, 616, 811, 2693, 547, 1995, 4617, 7633, 2663, 538, 1272, 563, 18131, 602, 616, 9176, 666, 723, 9395, 4522, 1317, 10399, 2333, 5642, 5860, 543, 12249, 2157, 269, 634, 28587, 1472, 707, 4522, 949, 849, 14020, 563, 2690, 10690, 4522, 267, 621, 568, 1655, 547, 5077, 513, 4387, 269, 769, 519, 29291, 267, 2705, 2073, 930, 5363, 25559, 1218, 949, 948, 596, 2061, 5694, 2530, 543, 2226, 2949, 8902, 4522, 269, 11270, 2632, 4345, 2126, 1223, 581, 1500, 4443, 676, 17678, 7466, 3232, 267, 29781, 1169, 1554, 267, 543, 2348, 2834, 2638, 5725, 563, 14187, 5711, 9882, 568, 4105, 585, 2178, 4522, 543, 547, 2057, 824, 5959, 2042, 269, 12989, 616, 513, 1906, 4808, 585, 4509, 1434, 5711, 9882, 563, 288, 14312, 2732, 27499, 513, 7513, 11656, 2732, 602, 2949, 10607, 4522, 781, 1072, 269, 589, 7059, 2732, 786, 1291, 547, 2178, 4522, 269, 3417, 10683, 2472, 543, 5388, 563, 22134, 4088, 3131, 6448, 19754, 4551, 1472, 3138, 657, 2989, 4522, 269, 634, 5739, 4551, 2014, 3968, 267, 19659, 267, 610, 15799, 267, 543, 607, 513, 1267, 267, 1033, 16670, 540, 519, 5694, 1281, 2049, 563, 288, 6070, 4248, 575, 1173, 548, 267, 799, 568, 4010, 899, 7250, 25681, 269, 898, 6411, 607, 606, 2500, 21149, 656, 543, 646, 1023, 11926, 269, 3689, 267, 621, 786, 948, 6146, 519, 6456, 4551, 538, 519, 5023, 267, 543, 7930, 267, 14779, 786, 1831, 6793, 2059, 2427, 10690, 4522, 563, 1607, 4999, 540, 476, 1911, 4939, 2067, 5820, 568, 1360, 2500, 585, 8156, 10690, 4522, 269, 2422, 3160, 2157, 540, 1312, 5820, 547, 9900, 18552, 519, 4299, 1858, 269, 681, 20600, 519, 5023, 609, 1216, 269, 901, 1543, 454, 2690, 2635, 4522, 267, 621, 568, 1271, 547, 2149, 519, 19596, 269, 589, 27357, 12837, 543, 15090, 569, 16543, 666, 3500, 1524, 519, 5650, 540, 5694, 2530, 543, 2333, 5711, 1072, 269, 1452, 616, 930, 5363, 4388, 547, 2061, 19596, 11761, 563, 19350, 616, 513, 1906, 2241, 2126, 3681, 602, 666, 581, 1031, 547, 7794, 21260, 4522, 269, 2659, 11290, 949, 4363, 1114, 2126, 3681, 4470, 593, 519, 10335, 540, 707, 1793, 871, 2287, 4522, 563, 2252, 707, 4522, 616, 3138, 657, 2287, 1813, 547, 10733, 2068, 267, 18440, 543, 3597, 4058, 568, 513, 1434, 4781, 563, 2005, 3513, 4339, 519, 3968, 563, 306, 29864, 281, 769, 4049, 2665, 267, 6391, 786, 581, 2838, 547, 1521, 519, 1966, 269, 769, 4148, 3139, 10733, 5160, 610, 5642, 666, 581, 6569, 563, 294, 2761, 338, 281, 2467, 616, 1079, 3681, 2139, 585, 10690, 4522, 281, 5160, 21910, 338, 630, 14752, 21910, 338, 264, 543, 5160, 21910, 338, 630, 339, 22568, 21910, 338, 1040, 1452, 666, 1489, 519, 1858, 593, 519, 4299, 5694, 543, 2061, 811, 3441, 547, 4522, 543, 14779, 538, 1004, 609, 10733, 2068, 563, 291, 1581, 14233, 281, 29392, 14233, 267, 971, 607, 10943, 6493, 267, 948, 2569, 3441, 689, 8860, 543, 949, 581, 2111, 547, 4368, 519, 1292, 540, 519, 3510, 563, 26139, 267, 519, 3597, 2014, 540, 519, 5694, 2530, 568, 2629, 547, 1022, 2126, 563, 2252, 596, 616, 7255, 827, 10690, 4522, 267, 1616, 547, 2087, 4522, 781, 1072, 543, 3274, 1491, 2556, 3800, 899, 8026, 1697, 5711, 9882, 267, 2834, 5959, 2638, 5725, 267, 543, 10438, 513, 14312, 2732, 263, 5341, 538, 6171, 667, 543, 7513, 264, 786, 948, 1832, 707, 4522, 538, 1434, 3337, 563, 304, 281, 1548, 4523, 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 ]

[ 29715, 800, 17107, 825, 585, 6221, 538, 8848, 269, 3430, 1026, 2373, 912, 1038, 10471, 815, 1205, 3430, 337, 263, 935, 14808, 267, 6221, 994, 1038, 562, 815, 10471, 14277, 333, 31116, 1038, 694, 336, 318, 6352, 815, 10471, 14277, 572, 336, 318, 6352, 257, 6540, 1038, 9041, 343, 267, 9041, 344, 815, 5352, 3799, 267, 694, 336, 318, 6352, 2020, 1038, 32197, 815, 6221, 1341, 29717, 339, 868, 28847, 1038, 2619, 815, 1239, 5091, 1311, 800, 1341, 1016, 29715, 800, 454, 1038, 2407, 24786, 815, 2619, 1341, 32197, 692, 1038, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 2187, 2018, 15259, 6230, 8898, 15077, 9638, 987, 2020, 1038, 609, 1930, 263, 21459, 24786, 267, 1412, 342, 10807, 607, 535, 912, 2018, 535, 22182, 2891, 258, 586, 29146, 343, 14826, 5602, 2018, 585, 1535, 267, 586, 538, 23407, 263, 318, 343, 267, 9041, 344, 2187, 3546, 535, 22182, 2891, 314, 346, 271, 348, 316, 315, 339, 314, 346, 272, 348, 316, 315, 333, 2668, 8971, 2891, 834, 269, 21860, 9852, 777, 19304, 267, 586, 24270, 476, 834, 834, 269, 21860, 9852, 777, 19304, 267, 1535, 30727, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2328, 15461, 18316, 24867, 1778, 273, 14818, 5038, 267, 1412, 30221, 273, 15305, 5038, 270, 17210, 825, 585, 562, 318, 1410, 3263, 538, 2039, 263, 273, 267, 476, 1556, 2187, 1038, 4762, 580, 309, 776, 532, 307, 1778, 5591, 6745, 1778, 9131, 333, 11172, 815, 476, 273, 1262, 333, 318, 1410, 3263, 454, 1038, 2328, 15461, 18316, 263, 3519, 14808, 309, 776, 532, 307, 1778, 5591, 2676, 4449, 8587, 1016, 29715, 800, 6889, 318, 30221, 346, 271, 348, 270, 2668, 8971, 263, 273, 1262, 333, 318, 1410, 3263, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 10289, 8225, 1733, 529, 5652, 543, 5253, 9177, 692, 7072, 281, 5620, 596, 2479, 4862, 540, 22090, 5652, 1354, 286, 898, 781, 513, 1826, 540, 23931, 4235, 602, 814, 1044, 10150, 676, 1004, 782, 936, 519, 1158, 585, 5553, 256, 4653, 267, 649, 786, 1451, 827, 8225, 22090, 5652, 267, 922, 1686, 267, 875, 621, 781, 1500, 267, 543, 1256, 3605, 930, 1187, 2081, 547, 6451, 621, 883, 1426, 10346, 269, 5213, 1405, 5855, 910, 1100, 991, 547, 6492, 1022, 22090, 5652, 952, 596, 1810, 1405, 1616, 547, 256, 3807, 1694, 1394, 267, 6001, 267, 543, 1577, 781, 4685, 883, 713, 8949, 7045, 1927, 2439, 4089, 476, 272, 281, 1548, 568, 8225, 1733, 529, 5652, 888, 4692, 6598, 22090, 5652, 267, 849, 1634, 607, 30383, 22090, 5652, 267, 568, 513, 6891, 602, 12090, 538, 4516, 1282, 519, 3735, 476, 1240, 628, 2540, 269, 27603, 267, 621, 729, 1500, 1210, 513, 4999, 540, 9274, 899, 30383, 267, 8970, 267, 10568, 267, 543, 24061, 267, 799, 941, 25496, 267, 30341, 267, 9907, 267, 543, 1287, 20762, 1927, 269, 3962, 10286, 8591, 2189, 10366, 267, 971, 607, 30383, 7700, 25970, 4967, 543, 8970, 4946, 29284, 269, 901, 2164, 538, 513, 5347, 543, 11684, 4508, 528, 609, 1950, 16919, 780, 4089, 476, 273, 281, 1215, 568, 8225, 1733, 529, 5652, 17214, 888, 763, 1184, 5956, 609, 4731, 1154, 543, 17819, 519, 9274, 267, 7432, 873, 883, 21432, 7912, 1572, 834, 326, 2077, 2668, 8921, 267, 1216, 568, 3773, 547, 1711, 513, 11188, 16466, 6438, 7848, 1572, 834, 332, 1662, 2580, 3850, 11476, 547, 6460, 588, 2117, 1127, 883, 14836, 269, 2991, 2072, 267, 13803, 568, 5189, 547, 1376, 519, 18829, 1184, 267, 14291, 4006, 883, 4568, 269, 11374, 18829, 267, 519, 5277, 25457, 1253, 20746, 998, 7601, 588, 1571, 267, 19459, 519, 5551, 4568, 689, 824, 6878, 269, 7053, 267, 519, 9241, 30341, 22090, 5652, 568, 5116, 3330, 18073, 29054, 547, 9921, 585, 1896, 1296, 267, 3384, 3638, 4778, 543, 10366, 780, 4089, 476, 274, 281, 17949, 532, 8225, 1733, 529, 5652, 13786, 4601, 454, 2005, 781, 1271, 547, 3314, 602, 11981, 22090, 5652, 19100, 1797, 1152, 3257, 865, 950, 596, 616, 16155, 4847, 543, 538, 20208, 269, 1403, 596, 3442, 547, 2119, 22090, 5652, 835, 1554, 267, 1491, 1507, 521, 2354, 543, 5660, 922, 1585, 10366, 269, 1411, 1522, 2972, 621, 16517, 630, 23719, 4672, 1070, 593, 519, 7725, 630, 5976, 4672, 18695, 1070, 610, 6404, 538, 15483, 339, 5661, 269, 2142, 2386, 547, 2141, 723, 513, 11280, 2937, 547, 27459, 1047, 543, 2760, 8532, 4568, 1247, 6117, 610, 5665, 5230, 12227, 780, 4089, 476, 275, 281, 18181, 609, 8225, 1733, 529, 5652, 454, 14582, 10079, 621, 610, 711, 267, 22090, 5652, 3884, 1405, 1175, 5921, 585, 521, 6235, 1107, 621, 666, 849, 581, 1031, 538, 5986, 256, 3509, 22730, 946, 22090, 5652, 547, 1039, 3178, 543, 8137, 547, 741, 8286, 269, 1280, 3236, 267, 596, 1223, 2261, 3729, 16469, 16074, 538, 513, 7848, 5627, 22090, 5652, 267, 6960, 4006, 267, 13342, 267, 543, 11922, 282, 1287, 3500, 3434, 873, 2394, 13035, 543, 30861, 269, 6271, 2856, 1131, 581, 6220, 22090, 5652, 883, 27156, 610, 28040, 625, 585, 3063, 14246, 543, 6988, 269, 1306, 1279, 607, 596, 1246, 513, 11967, 11600, 267, 972, 616, 11995, 7399, 585, 2870, 17705, 6980, 29689, 609, 519, 17175, 9759, 540, 8225, 22090, 5652, 780, 6962, 281, 1284, 4126, 596, 4121, 1945, 1007, 543, 4241, 827, 8225, 22090, 5652, 2221, 256, 6787, 596, 6430, 547, 2263, 922, 10366, 14693, 610, 3274, 23507, 621, 689, 7192, 541, 267, 917, 602, 713, 3140, 4235, 4249, 513, 1713, 1909, 538, 5935, 938, 2197, 781, 2686, 3961, 269, 1924, 1985, 942, 596, 3643, 513, 2199, 4558, 610, 13962, 267, 1832, 707, 4064, 22019, 539, 585, 8225, 22090, 5652, 2472, 543, 2671, 1018, 596, 4312, 4121, 609, 2828, 543, 1920, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 700, 645, 661, 681, 25526, 1315, 674, 744, 744, 667, 1299, 667, 681, 594, 715, 918, 1315, 681, 661, 595, 594, 623, 661, 590, 590, 661, 623, 570, 661, 631, 645, 661, 681, 476, 273, 476, 6349, 476, 272, 454, 24456, 15369, 667, 1456, 1923, 22598, 5940, 650, 7685, 1923, 4635, 10871, 21277, 576, 454, 300, 32767, 1721, 300, 4932, 3036, 22494, 25526, 17395, 22400, 631, 308, 294, 10396, 22400, 715, 28692, 454, 611, 1203, 675, 674, 18853, 8946, 2464, 292, 23333, 28421, 2316, 25770, 5084, 299, 631, 308, 14899, 5442, 5254, 16800, 6730, 590, 2793, 303, 589, 623, 2975, 11123, 589, 8863, 23814, 9215, 654, 2562, 256, 265, 589, 654, 7417, 298, 21715, 717, 4953, 288, 310, 17751, 454, 1892, 11404, 2793, 14888, 3198, 18040, 3041, 298, 312, 32217, 2752, 9169, 3040, 454, 291, 3041, 2316, 17247, 28475, 5508, 5990, 667, 4488, 32767, 9215, 13673, 9898, 267, 18161, 4306, 22400, 11682, 5588, 302, 10396, 5442, 4306, 8980, 305, 4456, 267, 674, 5357, 299, 8582, 6730, 570, 8980, 7711, 3201, 289, 12224, 4696, 3041, 2316, 17247, 8991, 267, 6730, 5442, 12710, 11070, 292, 1948, 4696, 299, 4037, 5442, 22400, 26480, 3582, 454, 17472, 623, 7838, 6224, 17955, 715, 4488, 8577, 14473, 269, 18771, 581, 3656, 6704, 2085, 547, 7119, 269, 966, 1355, 3544, 20563, 543, 1141, 19275, 269, 2290, 630, 272, 264, 9835, 15356, 2139, 547, 581, 4465, 269, 20976, 1493, 9835, 15356, 1871, 1269, 1015, 267, 1822, 269, 876, 21957, 269, 19556, 31853, 6874, 20535, 2243, 2838, 269, 2552, 652, 32195, 5239, 476, 1704, 267, 476, 1708, 272, 269, 9509, 2552, 652, 3877, 666, 581, 1336, 693, 10283, 10685, 6753, 543, 5084, 299, 4037, 28022, 269, 2485, 362, 540, 22598, 5940, 650, 619, 17290, 2836, 326, 776, 267, 4516, 563, 24127, 476, 1015, 1315, 3143, 269, 476, 275, 1315, 5181, 476, 1708, 272, 454, 21946, 2373, 543, 1744, 719, 4934, 338, 454, 19423, 634, 32386, 454, 10267, 12028, 685, 9669, 543, 570, 9581, 454, 21158, 689, 22598, 779, 11477, 6429, 454, 10673, 3534, 5839, 779, 8496, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 4241, 1158, 540, 1426, 2257, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 13858, 2460, 540, 621, 1572, 834, 14549, 12594, 543, 10791, 7497, 1701, 901, 2361, 2090, 875, 519, 1426, 649, 3548, 5222, 938, 4703, 267, 4543, 721, 1174, 1018, 5567, 616, 1898, 585, 1434, 1072, 543, 2208, 269, 1924, 1577, 781, 4685, 883, 713, 17705, 7045, 1927, 2439, 5331, 596, 1175, 3357, 1394, 689, 513, 1187, 1554, 693, 519, 6288, 267, 4743, 17237, 1310, 4730, 11090, 609, 707, 2828, 269, 1411, 1930, 519, 26806, 543, 1294, 1114, 2010, 540, 3536, 899, 5613, 267, 19787, 267, 18506, 267, 10381, 267, 3694, 267, 543, 1256, 2063, 3781, 781, 16741, 256, 1809, 723, 596, 2479, 2219, 827, 799, 540, 891, 786, 2285, 596, 1648, 267, 948, 1628, 2178, 6091, 267, 543, 1832, 596, 5059, 865, 602, 596, 666, 798, 1134, 538, 1153, 286, 2334, 781, 1141, 6484, 2501, 538, 2439, 301, 9173, 6212, 593, 8324, 267, 6886, 267, 5946, 267, 11950, 267, 9600, 267, 543, 1216, 1107, 782, 519, 2679, 7161, 602, 948, 938, 4703, 1332, 267, 7816, 2933, 267, 3251, 10069, 1242, 267, 543, 1599, 5265, 269, 2913, 781, 2743, 930, 540, 891, 12325, 1384, 272, 269, 2878, 309, 527, 7530, 4995, 1452, 6263, 1379, 17346, 4217, 1585, 1560, 3252, 971, 607, 20993, 12046, 630, 3697, 12192, 595, 1070, 14304, 7633, 630, 24791, 667, 1070, 543, 5329, 2960, 2635, 630, 24791, 661, 1040, 29759, 267, 5388, 267, 9274, 267, 543, 10683, 2472, 2356, 2270, 6266, 540, 8324, 2336, 273, 269, 2878, 14737, 5644, 4995, 6145, 27568, 11836, 4229, 267, 6886, 960, 1927, 547, 2226, 2178, 4522, 543, 7633, 267, 1489, 4887, 1599, 267, 543, 10038, 2295, 2041, 1846, 269, 1280, 3236, 267, 7513, 543, 16903, 2319, 909, 547, 1106, 4224, 3620, 731, 5694, 19596, 1247, 4401, 2337, 4163, 5135, 2429, 707, 1560, 2336, 274, 269, 2878, 3682, 974, 1231, 4995, 1879, 596, 1589, 540, 3940, 267, 4952, 2370, 4070, 4600, 24091, 2679, 543, 21338, 1919, 3330, 707, 1560, 269, 4053, 3380, 267, 8219, 267, 4552, 267, 18969, 267, 12489, 910, 789, 782, 991, 3940, 547, 1020, 543, 8853, 269, 16639, 899, 10709, 16469, 267, 5798, 267, 10365, 267, 10808, 267, 543, 5452, 616, 14095, 609, 873, 563, 275, 269, 2878, 10111, 8510, 6233, 4995, 1358, 1522, 3280, 7294, 267, 855, 2731, 267, 19719, 616, 1175, 2656, 1648, 2959, 1336, 538, 1082, 8949, 3536, 899, 18437, 267, 7573, 267, 12277, 267, 543, 9811, 267, 1256, 17711, 256, 1717, 267, 2898, 10286, 8747, 540, 1346, 588, 2117, 1127, 1683, 1279, 18835, 4492, 3379, 547, 26265, 563, 276, 269, 2878, 293, 1846, 4995, 3143, 267, 789, 5749, 1405, 3983, 16921, 256, 2368, 9600, 267, 899, 1395, 10494, 18260, 543, 4874, 12584, 18260, 3283, 267, 2149, 707, 2295, 543, 2634, 267, 31289, 4105, 8219, 267, 1202, 3634, 707, 1560, 267, 543, 5351, 538, 21716, 1978, 8324, 269, 2997, 665, 15606, 267, 3165, 267, 14462, 3282, 267, 543, 10808, 616, 3638, 538, 891, 1434, 9600, 563, 277, 269, 2878, 12850, 4995, 3776, 1272, 1606 ]

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

[ 6695, 2765, 13997, 343, 910, 476, 276, 12453, 274, 348, 815, 1422, 2765, 13997, 344, 1341, 476, 275, 12453, 278, 348, 815, 1422, 2765, 13997, 345, 910, 476, 277, 12453, 273, 15732, 17798, 10484, 763, 2016, 1899, 10596, 998, 519, 1448, 6695, 3847, 263, 2715, 3189, 3944, 346, 276, 3686, 267, 910, 11513, 3944, 346, 275, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 264, 9681, 2467, 325, 4141, 10484, 763, 2990, 6152, 540, 519, 1448, 568, 6695, 11355, 513, 815, 476, 276, 315, 1002, 1775, 910, 476, 275, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 9681, 9827, 267, 519, 4287, 12753, 540, 519, 2016, 1899, 616, 3230, 3189, 3944, 346, 274, 3686, 267, 3189, 3944, 346, 278, 24995, 543, 3230, 3189, 3944, 346, 273, 3686, 9681, 1607, 1797, 602, 519, 1899, 568, 538, 519, 4287, 540, 519, 6152, 267, 6695, 11355, 536, 815, 476, 274, 315, 1002, 1775, 1341, 476, 278, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 9681, 2026, 649, 1634, 602, 519, 1899, 998, 2318, 6152, 6695, 11355, 513, 2330, 543, 538, 519, 4287, 540, 519, 6152, 6695, 11355, 536, 2330, 568, 2016, 676, 519, 3830, 267, 6695, 11355, 678, 815, 1422, 11355, 513, 1341, 1422, 14433, 1422, 11355, 536, 282, 20939, 20939, 315, 14433, 22174, 681, 9681, 17798, 10484, 11377, 23976, 1422, 11355, 678, 815, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 275, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 348, 1422, 2431, 264, 1341, 1422, 14433, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 1341, 476, 278, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 1607, 568, 519, 2838, 3830, 540, 519, 2016, 1899, 538, 6152, 1106, 780, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 279, 692, 8340, 519, 6152, 543, 519, 31951, 3830, 540, 519, 3515, 602, 10596, 998, 519, 5169, 543, 6695, 3847, 263, 2715, 276, 267, 910, 476, 273, 267, 274, 348, 1422, 2431, 14638, 780, 2162, 8827, 692, 763, 2838, 1899, 10596, 998, 519, 5169, 780, 11997, 267, 922, 2990, 6152, 568, 6695, 11355, 513, 815, 476, 271, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 20939, 1422, 24126, 1422, 3847, 263, 11513, 3944, 346, 272, 3686, 1422, 2431, 264, 9681, 763, 4287, 12753, 540, 519, 1899, 8429, 998, 5169, 543, 6695, 3847, 263, 2715, 276, 267, 910, 476, 273, 267, 274, 348, 1422, 2431, 14638, 616, 692, 17961, 9387, 4153, 3847, 263, 2715, 3189, 3944, 346, 276, 3686, 910, 476, 271, 348, 1422, 2431, 264, 17851, 11513, 3944, 346, 276, 3686, 11138, 315, 3847, 263, 2715, 910, 11513, 3944, 346, 273, 3686, 910, 476, 271, 348, 1422, 2431, 264, 261, 815, 268, 11513, 3944, 346, 273, 3686, 11138, 315, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 268, 271, 348, 1422, 2431, 264, 17851, 11513, 3944, 346, 274, 476, 14990, 754, 9387, 10926, 17798, 267, 519, 1899, 568, 6252, 547, 519, 6152, 2016, 676, 519, 3830, 267, 6695, 11355, 536, 815, 476, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 3189, 3944, 346, 31998, 9681, 763, 3830, 540, 519, 1899, 538, 6152, 1106, 998, 513, 1448, 609, 2990, 6152, 6695, 11355, 513, 2330, 543, 6252, 547, 6695, 11355, 536, 2330, 568, 10484, 17961, 9387, 31905, 315, 23976, 31046, 315, 11355, 678, 815, 1422, 11355, 513, 1341, 1422, 14433, 1422, 11355, 536, 282, 20939, 20939, 315, 14433, 22174, 681, 11138, 261, 315, 23976, 31046, 1422, 11355, 678, 815, 476, 271, 1341, 1422, 14433, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 348, 1422, 2431, 9385, 315, 261, 315, 23976, 31046, 315, 11355, 678, 815, 1422, 14433, 1422, 3847, 263, 2715, 276, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 274, 315, 1002, 737, 348, 1422, 2431, 9385, 754, 9387, 10926, 763, 3830, 540, 519, 1899, 998, 519, 1448, 6695, 3847, 263, 2715, 346, 343, 318, 272, 9574, 346, 344, 318, 272, 9574, 346, 345, 318, 272, 3686, 1422, 2431, 14638, 267, 543, 4287, 12753, 3230, 320, 14720, 22698, 2330, 568, 2016, 676, 267, 6695, 2765, 13997, 343, 910, 2715, 343, 318, 272, 3686, 2410, 320, 348, 815, 1422, 2765, 13997, 344, 910, 2715, 344, 318, 272, 3686, 2410, 321, 348, 815, 1422, 2765, 13997, 345, 910, 2715, 345, 318, 272, 3686, 2410, 322, 15732, 17798, 267, 519, 3830, 540, 519, 2838, 1899, 538, 519, 31951, 1106, 568, 692, 17961, 9387, 31905, 315, 23976, 31046, 315, 2765, 13997, 343, 910, 476, 271, 12453, 276, 348, 815, 1422, 2765, 13997, 344, 910, 476, 271, 12453, 346, 910, 476, 273, 3686, 815, 1422, 2765, 13997, 345, 910, 476, 271, 12453, 274, 27874, 285, 261, 315, 23976, 20939, 1422, 2765, 12757, 2410, 276, 348, 815, 1422, 2765, 26635, 2410, 273, 348, 815, 1422, 2765, 346, 345, 2410, 274, 4153, 754, 9387, 10926, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 280, 692, 8340, 519, 6152, 543, 519, 7047, 14198, 4834, 540, 519, 1899, 602, 10596, 998, 519, 2798, 6695, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 1070, 315, 3847, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 14638, 780, 2162, 8827, 692, 4131, 519, 1899, 8429, 998, 519, 2798, 267, 3230, 303, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 14638, 543, 3230, 304, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 3189, 3944, 346, 277, 3686, 348, 1422, 2431, 14638, 581, 623, 304, 269, 4595, 623, 304, 10596, 998, 3230, 303, 13375, 263, 2715, 3189, 3944, 346, 274, 3686, 267, 910, 11513, 3944, 346, 273, 3686, 267, 910, 11513, 3944, 346, 276, 3686, 348, 1422, 2431, 14638, 267, 922, 2990, 6152, 568, 2016, 676, 692, 11377, 11355, 513, 815, 476, 274, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 910, 476, 276, 315, 1002, 737, 9681, 763, 4287, 12753, 540, 623, 304, 616, 2016, 676, 692, 17961, 9387, 4153, 3847, 263, 2715, 274, 910, 476, 274, 348, 1422, 2431, 264, 17851, 476, 271, 11138, 315, 3847, 263, 2715, 910, 476, 273, 1341, 476, 273, 348, 1422, 2431, 264, 17851, 476, 271, 11138, 315, 3847, 263, 2715, 277, 1341, 476, 276, 348, 1422, 2431, 264, 261, 815, 476, 1556, 17910, 9387, 10926, 763, 3830, 540, 519, 6152, 538, 519, 4287, 540, 623, 304, 568, 692, 17961, 9387, 4153, 11355, 536, 17851, 476, 271, 26142, 1002, 1775, 910, 476, 271, 26142, 1002, 795, 1341, 476, 1556, 315, 1002, 737, 3189, 3944, 346, 31998, 11138, 261, 284, 476, 1556, 315, 1002, 737, 3189, 3944, 346, 476, 14990, 754, 9387, 10926, 763, 3830, 540, 623, 304, 538, 6152, 1106, 568, 2016, 676, 10484, 17961, 9387, 4153, 11355, 678, 17851, 1422, 11355, 513, 1341, 1422, 14433, 536, 12101, 282, 20939, 315, 14433, 22174, 681, 11138, 261, 284, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 910, 476, 273, 315, 1002, 795, 1341, 476, 276, 315, 1002, 737, 348, 1422, 2431, 264, 1341, 476, 1556, 315, 14433, 1422, 1002, 737, 17910, 9387, 10926, 763, 3830, 540, 623, 304, 538, 31951, 1106, 568, 692, 17961, 9387, 31905, 315, 23976, 20939, 1422, 2765, 13997, 343, 910, 2715, 343, 318, 272, 3686, 2410, 320, 348, 815, 1422, 2765, 13997, 344, 910, 2715, 344, 318, 272, 3686, 2410, 321, 348, 815, 1422, 2765, 13997, 345, 910, 2715, 345, 318, 272, 3686, 2410, 322, 27874, 261, 315, 23976, 20939, 1422, 2765, 13997, 343, 910, 476, 274, 12453, 276, 348, 815, 1422, 2765, 13997, 344, 1341, 476, 273, 12453, 273, 348, 815, 1422, 2765, 13997, 345, 1341, 476, 276, 12453, 274, 4153, 754, 9387, 10926, 1012, 3848, 476, 1556, 1401, 269, 1556, 269, 273, 7726, 476, 1015, 692, 8340, 519, 5086, 1063, 519, 1739, 8424, 540, 3515, 1384, 9217, 264, 6695, 11355, 678, 815, 476, 273, 315, 1002, 1775, 910, 476, 276, 315, 1002, 795, 1341, 1422, 1002, 737, 1341, 1422, 14433, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 348, 1422, 2431, 14638, 543, 6695, 11355, 678, 815, 476, 278, 315, 1002, 1775, 910, 476, 277, 315, 1002, 737, 1341, 1422, 14153, 1422, 3847, 263, 11513, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 23870, 264, 6695, 11355, 678, 815, 476, 274, 315, 1002, 1775, 1341, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 1341, 1422, 14433, 1422, 3847, 263, 11513, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 348, 1422, 2431, 14638, 543, 6695, 11355, 678, 815, 476, 273, 315, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 6321, 315, 1002, 737, 1341, 1422, 14153, 1422, 3847, 263, 2715, 274, 315, 1002, 1775, 910, 476, 276, 315, 1002, 795, 910, 476, 275, 315, 1002, 737, 348, 1422, 2431, 264, 9681, 2162, 8827, 692, 4131, 7117, 581, 519, 5086, 1063, 519, 2016, 3515, 780, 10190, 519, 5086, 1063, 519, 2016, 8424, 540, 3515, 568, 2016, 676, 692, 11377, 6523, 11513, 3944, 3189, 9064, 31998, 815, 1422, 3847, 347, 11513, 2765, 13997, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 3686, 2410, 3189, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 26142, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 3686, 348, 1422, 2431, 347, 9681, 9217, 264, 634, 2016, 3515, 616, 6252, 547, 519, 10321, 267, 3230, 3189, 11355, 536, 318, 272, 348, 815, 476, 274, 315, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 277, 315, 1002, 737, 2330, 543, 3230, 3189, 11355, 536, 318, 273, 348, 815, 1422, 1002, 1775, 1341, 476, 273, 315, 1002, 795, 1341, 476, 273, 315, 1002, 737, 18079, 6606, 780, 11997, 10484, 17961, 9387, 4153, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 17851, 1422, 6912, 2715, 346, 274, 317, 273, 348, 1341, 2715, 273, 317, 273, 348, 1341, 2715, 277, 317, 273, 3686, 284, 1422, 6912, 2715, 5392, 13157, 476, 278, 11138, 315, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 17851, 1422, 6912, 2715, 346, 272, 317, 273, 348, 1341, 2715, 273, 317, 273, 348, 1341, 2715, 273, 317, 273, 3686, 284, 1422, 6912, 476, 280, 284, 476, 274, 11138, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 348, 17851, 1422, 3847, 263, 2715, 274, 328, 1341, 476, 273, 329, 1341, 476, 277, 330, 348, 1422, 2431, 1040, 315, 3847, 263, 2715, 328, 1341, 476, 273, 329, 1341, 476, 273, 330, 348, 1422, 2431, 9385, 315, 261, 284, 476, 274, 1422, 9392, 476, 272, 1341, 476, 273, 1422, 9392, 476, 273, 1341, 476, 277, 1422, 9392, 476, 273, 11138, 261, 284, 476, 274, 1341, 476, 275, 1341, 476, 1321, 11138, 261, 284, 476, 866, 17910, 9387, 10926, 17798, 10484, 17961, 9387, 4153, 6523, 11513, 3944, 3189, 9064, 31998, 17851, 1422, 3847, 347, 11513, 2765, 13997, 346, 3189, 11355, 536, 20731, 272, 20467, 346, 3189, 11355, 536, 20731, 273, 3686, 2410, 3189, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 272, 3686, 1422, 2431, 347, 26142, 3847, 347, 2715, 346, 3189, 11355, 536, 20731, 273, 3686, 1422, 2431, 347, 3686, 348, 1422, 2431, 347, 11138, 315, 6523, 11513, 3944, 3189, 9064, 31998, 17851, 1422, 3847, 347, 11513, 2765, 13997, 866, 12453, 346, 278, 1422, 9392, 476, 274, 3686, 348, 1422, 2431, 347, 815, 1422, 2765, 13997, 866, 12453, 346, 2641, 3686, 11138, 3189, 3944, 3189, 9064, 31998, 261, 815, 11513, 6523, 476, 3867, 910, 476, 272, 14990, 3847, 263, 11513, 2765, 13997, 866, 12453, 346, 2641, 3686, 348, 1422, 2431, 9385, 754, 9387, 10926, 23870, 264, 634, 2016, 3515, 616, 6252, 547, 519, 10321, 267, 3230, 3189, 11355, 536, 318, 272, 348, 815, 1422, 1002, 1775, 910, 1422, 1002, 795, 910, 476, 273, 315, 1002, 737, 2330, 543, 3230, 3189, 11355, 536, 318, 273, 348, 815, 476, 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 ]

[ 0, 273, 4139, 1931, 543, 1977, 21140, 454, 2171, 786, 2253, 547, 1589, 998, 891, 2055, 676, 6236, 693, 513, 1360, 2489, 1377, 1018, 621, 568, 602, 3013, 568, 3843, 547, 3035, 538, 519, 3486, 1062, 563, 1432, 616, 519, 7330, 779, 1279, 3856, 3853, 585, 3486, 1931, 888, 2414, 2626, 713, 2243, 649, 1101, 991, 513, 2324, 4214, 540, 1018, 3486, 1931, 568, 269, 1306, 596, 723, 2907, 2938, 267, 972, 616, 1114, 2081, 538, 799, 835, 1522, 1174, 543, 1915, 1047, 3486, 1931, 269, 7324, 891, 267, 1614, 18765, 540, 3486, 1931, 896, 12340, 1454, 540, 519, 4901, 602, 5205, 1934, 269, 634, 1101, 267, 1034, 5702, 855, 711, 1152, 2404, 609, 30527, 267, 568, 519, 2856, 602, 3486, 1931, 568, 519, 1587, 267, 538, 606, 29450, 673, 2829, 1606, 2448, 267, 540, 513, 3666, 540, 1379, 281, 519, 28170, 633, 1379, 540, 2829, 630, 528, 519, 1761, 547, 946, 971, 1379, 264, 568, 24132, 1996, 602, 540, 1866, 269, 11352, 1934, 568, 8032, 676, 519, 1379, 540, 835, 10992, 602, 540, 1866, 267, 610, 540, 519, 2178, 2531, 3215, 519, 4617, 563, 4913, 267, 596, 723, 849, 2938, 602, 3486, 1931, 666, 8451, 689, 22524, 11163, 543, 3226, 689, 3029, 540, 2318, 1606, 636, 22524, 11163, 269, 11352, 1934, 568, 513, 7104, 3959, 540, 2829, 602, 616, 2111, 547, 11282, 930, 540, 741, 4205, 547, 8994, 5413, 269, 634, 2296, 3427, 13187, 602, 3486, 1931, 14340, 689, 2048, 320, 2631, 540, 1455, 4690, 538, 1346, 10026, 610, 3119, 3853, 1496, 1993, 1514, 1272, 22049, 676, 519, 3652, 799, 21559, 519, 4806, 540, 7180, 602, 2771, 1622, 873, 282, 543, 676, 5238, 799, 1118, 891, 3652, 2500, 685, 630, 289, 1638, 267, 476, 1960, 276, 2073, 533, 269, 7906, 1040, 1280, 519, 2296, 3427, 267, 519, 3119, 3853, 540, 1514, 1272, 1331, 18715, 540, 3354, 267, 11650, 543, 3959, 267, 543, 3270, 540, 7180, 602, 27481, 891, 269, 1280, 1866, 267, 971, 607, 519, 27565, 19767, 540, 2022, 4149, 324, 1718, 2622, 2782, 3486, 1931, 267, 519, 13287, 540, 1804, 6207, 12374, 4249, 513, 2629, 1909, 538, 24569, 519, 1880, 3270, 540, 7180, 540, 513, 12666, 3486, 1931, 269, 7053, 267, 31767, 9382, 540, 22030, 543, 30566, 344, 538, 519, 24041, 3486, 1062, 3343, 547, 1397, 875, 1312, 1379, 543, 22524, 11163, 616, 2933, 8032, 676, 519, 19514, 1646, 540, 519, 24041, 1158, 4346, 269, 769, 713, 1576, 649, 1491, 519, 2070, 602, 782, 1614, 18765, 1107, 1379, 267, 2318, 1606, 636, 22524, 11163, 543, 24041, 1646, 1107, 1404, 513, 1909, 538, 513, 2808, 2272, 540, 519, 7330, 538, 3486, 1931, 269, 0, 19733, 32407, 594, 11803, 9652, 543, 15576, 773, 16399, 5063, 4843, 1382, 593, 4763, 267, 9698, 543, 10014, 538, 2069, 563, 19853, 960, 729, 1851, 519, 1382, 12286, 693, 519, 3162, 10491, 30451, 585, 519, 19750, 2422, 540, 3194, 10985, 538, 12052, 563, 10527, 10554, 729, 513, 1390, 4316, 547, 2671, 1250, 960, 543, 1451, 689, 1082, 1390, 3173, 827, 875, 649, 666, 1118, 2069, 1732, 585, 782, 1053, 2223, 16399, 1767, 563, 10932, 532, 519, 7201, 3146, 335, 18677, 538, 717, 26661, 15789, 454, 1320, 15106, 779, 1382, 9619, 519, 1966, 540, 896, 3146, 335, 19948, 540, 1970, 13867, 1053, 267, 7292, 18441, 543, 2296, 1893, 6267, 538, 22064, 3292, 269, 16399, 3177, 7840, 585, 1153, 13102, 676, 3168, 693, 1655, 2853, 689, 1472, 519, 2197, 563, 1320, 15106, 779, 1382, 3769, 875, 547, 5431, 22064, 4162, 538, 1053, 269, 2701, 12038, 827, 1210, 513, 8471, 9584, 1184, 610, 2199, 8155, 585, 10343, 883, 22064, 3292, 563, 19185, 883, 5753, 779, 7734, 454, 297, 28427, 12649, 8366, 20421, 1453, 779, 2835, 602, 4183, 1114, 7292, 543, 6803, 2516, 269, 2701, 4330, 875, 519, 2835, 1223, 28511, 11475, 952, 711, 1031, 14013, 563, 2690, 1383, 267, 519, 1453, 779, 1433, 2506, 28609, 779, 14134, 267, 1305, 538, 19168, 267, 1223, 12927, 1053, 685, 2093, 827, 4000, 1373, 606, 7357, 896, 16467, 539, 11782, 609, 1100, 2029, 610, 2413, 29319, 269, 9652, 3177, 7840, 585, 2238, 602, 3610, 1223, 6292, 609, 2835, 563, 288, 5691, 2361, 7552, 547, 13280, 1223, 948, 1053, 7753, 741, 26608, 18727, 18765, 827, 4000, 267, 2687, 547, 9652, 269, 634, 2534, 1131, 1450, 1053, 547, 1995, 513, 2413, 23302, 2749, 538, 4000, 609, 5230, 6808, 267, 28565, 543, 1236, 903, 322, 1905, 619, 563, 19733, 3194, 25547, 1161, 23779, 454, 7804, 269, 717, 3271, 807, 645, 719, 974, 267, 10491, 31692, 1639, 7905, 693, 2160, 540, 3162, 10491, 267, 26518, 16399, 779, 543, 9652, 779, 1382, 1282, 1200, 1883, 16694, 2232, 269, 645, 719, 974, 568, 519, 2278, 540, 476, 3445, 12326, 543, 519, 13653, 540, 519, 4741, 540, 28742, 585, 519, 4065, 543, 24054, 540, 3979, 1977, 4841, 563, 7804, 269, 27813, 12070, 9469, 267, 945, 11414, 519, 2069, 1698, 7723, 1576, 267, 4843, 609, 10026, 2069, 2101, 8865, 344, 21862, 21672, 1282, 2063, 1032, 779, 10554, 269, 634, 3162, 10491, 5948, 585, 5664, 5426, 4065, 4750, 3370, 741, 1382, 827, 875, 1053, 1558, 519, 9043, 540, 519, 3162, 10491, 23958, 998, 606, 1310, 17469, 17562, 1982, 563, 17556, 341, 21672, 568, 1631, 513, 8772, 3446, 2979, 543, 2257, 4116, 693, 5101, 2515, 16504, 3427, 538, 22735, 267, 590, 5861, 563, 28899, 538, 4065, 693, 7193, 454, 302, 653, 1953, 885, 547, 1459, 1382, 693, 2069, 19014, 568, 835, 540, 519, 1082, 4128, 547, 2101, 538, 2069, 693, 7193, 269, 7490, 3643, 519, 2069, 8257, 779, 1357, 3817, 585, 811, 827, 519, 2069, 32407, 602, 666, 5965, 596, 585, 513, 3450, 4876, 269, 0, 763, 8177, 540, 27275, 16661, 1923, 590, 27263, 24165, 10378, 540, 623, 29301, 334, 454, 763, 1032, 476, 1708, 271, 786, 581, 835, 585, 519, 2835, 547, 2161, 519, 2547, 269, 769, 1840, 547, 519, 12416, 602, 1671, 4240, 267, 621, 729, 849, 513, 2594, 1606, 23293, 1032, 585, 4365, 543, 2916, 12469, 269, 2986, 782, 519, 1296, 538, 1686, 585, 799, 649, 723, 1239, 267, 476, 1708, 271, 729, 519, 1034, 20019, 16160, 563, 7628, 476, 1708, 271, 267, 972, 941, 476, 2420, 4013, 4365, 12469, 267, 799, 616, 3989, 607, 2621, 602, 2014, 693, 2547, 513, 5479, 9489, 538, 14796, 563, 2467, 941, 849, 1082, 824, 14124, 15420, 602, 14201, 1406, 20039, 585, 538, 602, 18802, 269, 769, 1249, 267, 972, 941, 865, 1082, 3957, 24377, 543, 9341, 15420, 602, 585, 1152, 519, 2034, 942, 538, 1686, 267, 519, 715, 16703, 1185, 547, 16702, 883, 519, 5259, 9904, 1175, 547, 581, 2111, 547, 2012, 873, 782, 563, 9617, 1215, 27275, 3657, 1284, 32695, 888, 295, 584, 21814, 666, 798, 930, 2527, 9552, 543, 538, 2490, 1942, 1804, 13075, 5666, 538, 14796, 267, 855, 6159, 345, 1176, 2614, 267, 621, 779, 711, 1152, 519, 24377, 602, 616, 3257, 713, 563, 1103, 476, 1708, 271, 267, 621, 729, 4080, 602, 476, 1691, 540, 519, 4013, 4365, 12469, 941, 4049, 19711, 28323, 267, 543, 930, 540, 799, 25793, 1078, 30635, 1645, 14324, 29777, 607, 1134, 269, 774, 8974, 28323, 1810, 1406, 5806, 3729, 267, 789, 4755, 9170, 543, 1282, 782, 12405, 540, 519, 1032, 563, 1103, 27228, 538, 4864, 476, 1708, 271, 267, 513, 2582, 7088, 1062, 2968, 5393, 14124, 269, 589, 9583, 6093, 1899, 540, 19711, 28323, 1011, 10757, 883, 513, 632, 516, 11155, 630, 31138, 899, 513, 28575, 855, 609, 2786, 11060, 12798, 3079, 540, 2220, 26325, 3283, 264, 543, 12936, 811, 982, 476, 1015, 2929, 14143, 540, 8970, 4610, 267, 602, 779, 936, 476, 1556, 260, 540, 519, 3003, 2197, 779, 8970, 4610, 563, 1103, 623, 29301, 334, 267, 30339, 543, 14700, 616, 1100, 21046, 547, 519, 1858, 269, 4658, 1419, 2911, 827, 519, 7088, 602, 968, 3306, 9464, 623, 29301, 334, 1848, 769, 2038, 4873, 476, 4572, 272, 267, 8731, 1370, 658, 22856, 2220, 8215, 519, 23916, 5211, 547, 513, 13304, 2647, 543, 476, 1428, 3952, 2620, 538, 930, 4025, 269, 1703, 729, 2911, 602, 519, 2669, 17167, 3576, 1082, 2729, 267, 1519, 15146, 12427, 945, 18423, 693, 960, 547, 6494, 856, 21855, 563, 3674, 901, 519, 1715, 16453, 888, 2691, 621, 2501, 547, 4365, 19951, 267, 621, 4667, 602, 476, 1708, 271, 18387, 1406, 2731, 1044, 606, 7979, 1512, 267, 855, 538, 1249, 621, 779, 4742, 519, 1007, 3339, 563, 1708, 271, 729, 519, 476, 1015, 628, 15654, 1032, 609, 693, 2547, 5216, 5479, 1673, 20683, 12469, 269, 1280, 476, 1001, 279, 543, 476, 1001, 280, 267, 649, 4718, 513, 5916, 2698, 540, 1269, 15793, 5479, 538, 14796, 267, 543, 538, 476, 1001, 278, 267, 519, 3441, 2698, 729, 936, 1269, 4968, 5479, 563, 1805, 768, 338, 616, 3339, 1765, 6343, 779, 4957, 568, 602, 741, 4908, 543, 8515, 616, 6029, 1100, 4191, 540, 32033, 269, 2334, 779, 1946, 607, 513, 1753, 610, 1870, 8227, 621, 779, 1271, 547, 1491, 8726, 15416, 616, 2009, 563, 5591, 2339, 519, 15416, 596, 1491, 267, 621, 779, 1271, 547, 917, 602, 1919, 616, 3564, 707, 1852, 693, 2053, 269, 1924, 3314, 596, 4076, 3893, 513, 3659, 538, 519, 11808, 2872, 4171, 3804, 568, 547, 9156, 707, 12595, 3688, 543, 11177, 707, 3959, 834, 12024, 621, 2760, 1256, 5949, 4799, 2691, 15420, 798, 3441, 267, 649, 979, 547, 960, 547, 1118, 1919, 1318, 269, 13555, 590, 27263, 24165, 2221, 547, 1294, 875, 649, 666, 948, 269, 0, 3528, 700, 4768, 534, 3026, 1120, 320, 731, 454, 2690, 938, 1863, 11452, 6855, 3795, 267, 1451, 811, 1934, 563, 3080, 8929, 540, 8330, 571, 313, 523, 29132, 610, 26172, 6500, 814, 3592, 1100, 1198, 1996, 519, 18647, 3644, 15817, 10825, 6385, 1472, 519, 1158, 267, 855, 1007, 3943, 1382, 9060, 602, 1079, 795, 11274, 1683, 2178, 4027, 563, 12867, 689, 5333, 779, 30854, 584, 4659, 4080, 1007, 2963, 538, 519, 4760, 7186, 602, 2407, 12674, 568, 2565, 563, 1103, 8047, 4255, 267, 1973, 689, 1896, 18797, 1004, 2016, 741, 1101, 9570, 540, 519, 26172, 6500, 610, 8330, 571, 313, 523, 29132, 10074, 968, 321, 732, 569, 7409, 1243, 892, 519, 18647, 14583, 267, 519, 2319, 4080, 1547, 1809, 4374, 1310, 3478, 741, 2034, 9570, 267, 5176, 782, 1185, 1018, 3173, 16363, 606, 4761, 5818, 2178, 2614, 547, 9243, 1047, 519, 3968, 2443, 1256, 952, 621, 9863, 513, 2370, 1447, 14984, 982, 1996, 4505, 8747, 540, 519, 3644, 563, 4913, 267, 538, 1483, 1158, 2175, 267, 3173, 538, 6628, 1336, 602, 1256, 835, 9570, 540, 26172, 6500, 3177, 476, 11463, 829, 1298, 10171, 540, 4027, 1996, 6413, 5314, 267, 543, 8330, 571, 313, 523, 29132, 3177, 476, 10170, 2600, 4027, 1310, 835, 795, 629, 563, 763, 1482, 1353, 1336, 1079, 13066, 540, 519, 26172, 6500, 6669, 729, 476, 9834, 829, 1298, 8825, 1996, 6413, 5314, 609, 519, 18647, 14583, 543, 476, 6434, 829, 1298, 2500, 1996, 31916, 3968, 269, 2334, 4466, 729, 16079, 539, 2063, 15964, 676, 8225, 3173, 267, 1247, 513, 1867, 689, 5840, 6700, 4027, 1996, 7646, 18647, 3968, 949, 723, 1019, 5529, 2539, 267, 547, 476, 5038, 829, 1298, 563, 763, 3943, 3173, 849, 7318, 796, 341, 3147, 3990, 1004, 945, 1185, 15068, 513, 536, 719, 540, 519, 11452, 267, 543, 1336, 741, 12489, 941, 2185, 24670, 1447, 14984, 1996, 519, 1007, 30354, 269, 1809, 513, 2582, 6669, 9570, 13497, 5818, 539, 741, 17193, 2157, 2443, 26354, 3444, 3491, 339, 1254, 1996, 519, 18232, 14583, 543, 1079, 824, 4573, 1218, 563, 11577, 2642, 1282, 3127, 779, 30481, 12176, 4505, 713, 1032, 267, 18647, 568, 6059, 547, 581, 476, 2568, 829, 1298, 811, 11763, 982, 24488, 267, 519, 14583, 602, 16397, 6628, 936, 519, 1007, 1032, 267, 543, 10199, 7466, 607, 11763, 607, 519, 3312, 3644, 1101, 4857, 538, 18961, 7315, 267, 3624, 267, 538, 5130, 476, 1708, 271, 563, 763, 6115, 5403, 4080, 5094, 4681, 689, 634, 1715, 4789, 4750, 540, 6925, 602, 5267, 519, 18647, 14583, 568, 1447, 11630, 547, 9243, 5314, 676, 519, 12489, 6383, 676, 2550, 945, 1185, 16626, 689, 5046, 543, 1223, 556, 29795, 1346, 945, 1185, 2907, 28815, 519, 2068, 563, 18773, 5563, 616, 1147, 3101, 998, 5095, 609, 1970, 12674, 3928, 269, 3220, 18842, 3559, 548, 9546, 839, 5652, 267, 8689, 540, 519, 2475, 2578, 637, 585, 8376, 6513, 543, 10644, 267, 1767, 602, 779, 3056, 547, 968, 18314, 18408, 892, 2443, 3810, 6375, 2213, 2220, 520, 1127, 540, 3013, 616, 3478, 1394, 547, 3339, 1247, 6413, 5314, 568, 8375, 538, 824, 4025, 563, 22154, 4028, 4473, 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 ]

[ 1216, 11517, 5860, 269, 15394, 519, 1377, 693, 799, 1216, 11517, 2242, 883, 5277, 7436, 519, 3490, 540, 519, 6531, 538, 519, 5790, 8754, 1572, 28198, 1377, 563, 13295, 649, 6338, 606, 21933, 1664, 6678, 531, 6853, 7852, 543, 6678, 531, 6853, 3109, 3515, 607, 5205, 281, 3962, 1899, 2618, 668, 564, 11551, 513, 3586, 2837, 269, 2311, 1101, 16145, 972, 568, 2370, 11696, 28917, 1063, 519, 12125, 267, 855, 952, 519, 5750, 568, 29352, 676, 562, 27197, 5232, 543, 6743, 693, 538, 513, 11604, 519, 11696, 28917, 3587, 7805, 563, 763, 7299, 3515, 3254, 538, 519, 5750, 616, 519, 3586, 24766, 2837, 3515, 543, 782, 519, 2798, 4092, 2059, 513, 1880, 7299, 1899, 723, 1482, 24766, 2837, 269, 634, 632, 342, 1448, 2837, 568, 3160, 547, 519, 4628, 15459, 3819, 15941, 610, 6632, 15941, 5210, 269, 1548, 568, 5369, 668, 13011, 15873, 286, 0, 279, 1919, 3330, 856, 11414, 13588, 827, 4664, 3965, 543, 519, 2247, 15970, 3211, 585, 31852, 563, 1231, 728, 856, 1863, 7792, 2534, 9212, 513, 1906, 2110, 9413, 15970, 3211, 563, 6011, 547, 2385, 609, 4656, 887, 2421, 985, 559, 591, 2006, 1260, 15970, 3211, 585, 31852, 563, 1231, 728, 856, 4664, 543, 4606, 7792, 2534, 9212, 3756, 15970, 3211, 1863, 563, 8001, 532, 1565, 3211, 2592, 4976, 2979, 585, 3214, 1863, 23454, 1071, 3797, 563, 335, 27348, 3330, 856, 585, 1514, 4600, 11953, 20584, 960, 15970, 3211, 593, 9015, 563, 276, 1187, 8901, 4656, 9251, 518, 3211, 15970, 2035, 585, 9656, 1863, 2462, 543, 1507, 9251, 1523, 960, 563, 16451, 1196, 3386, 2012, 16439, 7792, 3211, 585, 2259, 15970, 593, 9015, 563, 548, 611, 1071, 15970, 3211, 689, 519, 3330, 856, 2837, 538, 8022, 1983, 7824, 563, 2181, 1613, 3308, 8901, 4987, 15970, 1983, 3211, 689, 519, 1071, 7824, 563, 6748, 519, 7260, 3330, 856, 607, 513, 3391, 5000, 707, 1126, 547, 1865, 2947, 4664, 3254, 2429, 2534, 3478, 917, 1250, 5748, 15970, 3211, 7824, 563, 1231, 728, 856, 5133, 2921, 3211, 585, 10962, 3446, 6586, 2719, 543, 6965, 15970, 1101, 1071, 563, 637, 3145, 6536, 1416, 1344, 4976, 2594, 5329, 609, 7792, 3211, 15970, 1863, 563, 1504, 3382, 15970, 3211, 689, 519, 3330, 856, 3797, 563, 1811, 547, 1491, 519, 6560, 856, 540, 6780, 2022, 15970, 3211, 538, 23882, 563, 13548, 2760, 2247, 519, 1053, 6780, 17337, 3237, 1007, 2053, 15970, 3211, 3797, 563, 1811, 547, 946, 3330, 856, 4001, 6565, 543, 22705, 17498, 15970, 3211, 1863, 563, 326, 5050, 1863, 9251, 16439, 3211, 15970, 585, 31852, 563, 1231, 728, 856, 7260, 4976, 2093, 585, 1072, 1362, 15970, 3211, 1164, 25217, 1053, 563, 28090, 10445, 519, 1379, 543, 3483, 540, 18295, 2634, 676, 606, 3330, 856, 2835, 1920, 5718, 4099, 15970, 3211, 538, 23882, 563, 1231, 728, 856, 4606, 543, 22196, 2994, 3211, 15970, 2790, 1072, 7824, 563, 1492, 16540, 1379, 543, 3483, 540, 18295, 2634, 676, 606, 3330, 856, 15970, 3211, 593, 9015, 563, 1231, 728, 856, 7792, 513, 22282, 8945, 2534, 9212, 543, 3756, 1071, 15970, 3797, 3211, 563, 1492, 6530, 540, 3330, 856, 513, 4190, 3992, 538, 3929, 15970, 3211, 593, 9015, 563, 325, 3555, 5750, 7333, 1676, 7792, 2979, 3211, 693, 15970, 538, 23882, 7824, 563, 2745, 762, 2458, 720, 3330, 856, 2534, 9212, 1071, 15970, 3211, 563, 15640, 538, 519, 10145, 23519, 7792, 3211, 15970, 585, 1053, 533, 3330, 856, 7260, 945, 1983, 3797, 563, 1231, 728, 856, 7792, 513, 22282, 8945, 2534, 9212, 543, 3756, 15970, 3211, 538, 23882, 269, 0, 1607, 2376, 2882, 513, 1592, 540, 8100, 267, 855, 922, 2959, 2611, 15458, 1317, 621, 814, 13385, 538, 1467, 14327, 269, 630, 20826, 476, 1001, 275, 264, 630, 9596, 875, 543, 950, 547, 4894, 713, 10959, 5048, 994, 763, 17189, 11135, 540, 918, 3121, 13323, 630, 30153, 24047, 3576, 1747, 538, 519, 2038, 3108, 540, 476, 277, 5147, 476, 3707, 274, 1282, 2622, 2782, 4083, 543, 729, 1063, 2136, 2276, 543, 5545, 9635, 1055, 519, 5032, 540, 30709, 4861, 836, 4673, 538, 519, 21125, 11866, 563, 4002, 476, 276, 5147, 267, 2136, 2276, 13108, 17130, 6828, 476, 3607, 269, 272, 630, 307, 294, 476, 3607, 269, 272, 264, 734, 12252, 539, 676, 681, 792, 31288, 9546, 6577, 700, 269, 589, 1231, 10290, 543, 9967, 540, 519, 1769, 2267, 23924, 2475, 306, 12968, 565, 21343, 2073, 2475, 306, 853, 269, 8402, 2073, 543, 2475, 306, 4477, 6511, 2073, 7132, 2185, 6861, 619, 267, 1185, 4607, 2262, 540, 1776, 834, 27717, 14623, 18124, 257, 5692, 1524, 834, 1492, 6215, 582, 257, 538, 519, 21125, 11866, 267, 543, 519, 4305, 1895, 8399, 539, 22070, 2250, 1715, 11908, 6816, 563, 763, 27469, 941, 538, 519, 1184, 540, 22745, 741, 1985, 18086, 538, 519, 21125, 11866, 267, 2348, 1175, 15354, 10136, 593, 519, 6532, 540, 681, 754, 13960, 607, 513, 16861, 1900, 547, 694, 1944, 519, 2101, 5545, 513, 1009, 8692, 693, 631, 1495, 320, 593, 1715, 11908, 6816, 269, 769, 1489, 540, 713, 13941, 267, 799, 729, 547, 1305, 909, 606, 3355, 11824, 3650, 585, 3001, 772, 2529, 269, 10136, 2066, 2349, 534, 3832, 19305, 547, 1715, 11908, 267, 31288, 589, 1231, 10290, 1185, 519, 3781, 1354, 5342, 513, 2267, 16014, 10514, 731, 618, 540, 966, 10042, 593, 30709, 4861, 836, 4673, 6816, 543, 645, 23879, 14150, 593, 1715, 11908, 543, 267, 2110, 540, 4492, 543, 993, 32099, 267, 729, 538, 519, 1184, 540, 1427, 3931, 547, 519, 4856, 531, 7256, 547, 25579, 880, 269, 589, 772, 2529, 269, 13149, 13941, 729, 16516, 593, 519, 7187, 13272, 540, 1715, 11908, 593, 476, 1015, 5147, 267, 602, 1131, 2154, 2417, 17189, 1489, 563, 4263, 476, 4905, 281, 6187, 1055, 30709, 4861, 836, 4673, 267, 519, 4305, 1895, 3357, 883, 3346, 609, 513, 5545, 15699, 1895, 26017, 676, 31288, 6833, 340, 334, 589, 7288, 344, 4821, 799, 15538, 540, 4557, 6861, 619, 16041, 609, 476, 273, 267, 7785, 8396, 10136, 602, 941, 3808, 585, 966, 10042, 267, 799, 789, 1031, 607, 513, 588, 1645, 1448, 585, 3001, 883, 631, 1495, 320, 269, 634, 5545, 941, 5258, 883, 1079, 4229, 267, 513, 5250, 540, 1614, 26603, 2176, 911, 4979, 519, 1292, 6241, 1101, 3357, 896, 4323, 563, 763, 772, 2529, 269, 9635, 8118, 3595, 693, 476, 4905, 281, 6872, 267, 20590, 476, 277, 1321, 16115, 538, 476, 2641, 3764, 543, 3670, 7643, 267, 3533, 29855, 519, 6861, 518, 15281, 714, 25431, 543, 11318, 31288, 589, 7288, 344, 4821, 269, 1717, 267, 4477, 6511, 1185, 1163, 2105, 782, 540, 1200, 8755, 1652, 8869, 519, 3105, 3781, 267, 1352, 729, 7142, 547, 946, 15137, 6804, 8869, 267, 3976, 27283, 9887, 547, 519, 5545, 9635, 609, 1169, 2892, 17383, 269, 5565, 540, 519, 5545, 6861, 619, 9250, 741, 7043, 700, 766, 8731, 6244, 3996, 543, 5734, 4477, 6511, 267, 3170, 958, 14124, 1200, 269, 634, 1292, 5545, 3196, 267, 799, 1185, 4831, 332, 2117, 1117, 2476, 689, 966, 10042, 609, 519, 1101, 3346, 267, 1287, 13264, 2476, 267, 2348, 15354, 1152, 476, 25616, 540, 519, 476, 273, 267, 7785, 10136, 269, 634, 5545, 6861, 518, 18491, 1846, 25431, 10443, 989, 1037, 267, 1247, 670, 1846, 8500, 25431, 729, 8697, 563, 13828, 4229, 3459, 547, 11198, 689, 519, 1858, 267, 855, 835, 5545, 543, 1079, 1977, 6861, 619, 7283, 547, 15063, 15000, 269, 2311, 827, 476, 4962, 281, 876, 267, 519, 6861, 619, 2549, 698, 21105, 543, 2475, 306, 22956, 22121, 8731, 6244, 3996, 543, 7784, 13933, 269, 2549, 698, 21105, 729, 5734, 543, 19622, 269, 634, 581, 3737, 18491, 1846, 25431, 729, 14460, 676, 1200, 12284, 538, 519, 6640, 267, 1352, 729, 10514, 539, 543, 10032, 676, 1977, 8484, 563, 4263, 519, 1482, 942, 607, 713, 6370, 729, 11200, 532, 267, 1776, 2475, 17189, 4305, 3196, 540, 1079, 6861, 619, 267, 2475, 306, 16200, 543, 2475, 306, 4258, 1998, 1512, 1185, 9411, 645, 23879, 14150, 23320, 7404, 547, 1683, 7387, 532, 1489, 585, 2475, 18858, 3591, 15354, 693, 19676, 31745, 4392, 4505, 602, 1554, 269, 769, 519, 2038, 3108, 540, 519, 6640, 513, 8731, 6244, 334, 729, 19481, 14656, 799, 5734, 519, 2475, 306, 16200, 593, 1200, 2823, 2427, 513, 1111, 267, 799, 8507, 538, 519, 2530, 540, 519, 6861, 518, 563, 763, 14603, 7392, 476, 11152, 8731, 6244, 334, 729, 513, 1259, 1189, 7043, 700, 766, 799, 3357, 689, 513, 2892, 17383, 17991, 676, 519, 5545, 6861, 619, 267, 3366, 676, 15281, 714, 25431, 267, 8185, 7722, 538, 519, 5094, 17189, 2962, 609, 1977, 1769, 2267, 23924, 543, 6861, 619, 2143, 1657, 267, 689, 513, 3845, 540, 476, 1556, 562, 27658, 5195, 630, 736, 5998, 1070, 543, 568, 5156, 547, 581, 13074, 24365, 3811, 8731, 6244, 334, 4323, 538, 1686, 2336, 763, 6861, 619, 2475, 306, 7101, 5112, 543, 22956, 1312, 18423, 3297, 547, 15063, 15000, 689, 4477, 6511, 269, 2755, 11324, 5224, 936, 476, 16020, 2367, 267, 7101, 5112, 543, 22956, 1185, 547, 556, 1263, 720, 519, 10546, 1614, 2053, 267, 789, 941, 13752, 519, 30814, 5149, 27375, 585, 741, 15063, 269, 2549, 698, 21105, 23012, 543, 2663, 15155, 4364, 543, 2759, 538, 3368, 519, 5179, 8731, 6244, 334, 10935, 2475, 306, 25280, 268, 11820, 267, 3061, 7134, 676, 2104, 5518, 540, 519, 2136, 2276, 3627, 674, 269, 17394, 630, 4489, 278, 268, 3422, 274, 1070, 538, 4563, 9116, 26463, 22236, 540, 30709, 4861, 836, 4673, 593, 4864, 476, 273, 269, 0, 763, 2825, 1966, 540, 3127, 568, 10416, 540, 519, 1739, 1826, 267, 519, 1852, 540, 799, 786, 2327, 4264, 1646, 563, 272, 269, 15510, 32278, 563, 273, 269, 21091, 2244, 946, 4058, 563, 274, 269, 13245, 5186, 680, 663, 543, 31922, 563, 275, 269, 8381, 2244, 543, 10664, 540, 3338, 563, 276, 269, 11094, 540, 6211, 4763, 563, 277, 269, 6513, 540, 5533, 538, 1216, 543, 2011, 563, 278, 269, 4886, 540, 1875, 1790, 3326, 5024, 7791, 1648, 1062, 563, 279, 269, 27822, 540, 3653, 543, 22016, 563, 280, 269, 8278, 10999, 15095, 1480, 17260, 1519, 1793, 636, 6454, 563, 1015, 269, 7025, 2069, 543, 4656, 693, 782, 2157, 563, 1556, 269, 5455, 323, 908, 2825, 4031, 563, 1321, 269, 1715, 7516, 547, 3084, 3354, 269, 0, 1607, 11728, 267, 513, 17079, 538, 7046, 7704, 299, 267, 7000, 676, 3354, 3173, 693, 26467, 523, 5669, 517, 606, 4830, 3354, 6109, 543, 849, 693, 5616, 267, 568, 3957, 9839, 1076, 539, 269, 5565, 3791, 540, 519, 3742, 1158, 2647, 7270, 616, 19847, 676, 713, 3354, 16950, 563, 8269, 518, 2590, 547, 9839, 1076, 539, 267, 23745, 5576, 928, 1512, 513, 3354, 4274, 5206, 538, 1010, 5816, 2022, 713, 3018, 912, 4002, 519, 4336, 540, 476, 272, 547, 476, 1015, 267, 713, 568, 606, 476, 1556, 563, 15368, 1227, 267, 606, 30429, 666, 10544, 476, 5038, 298, 540, 3965, 689, 513, 7746, 269, 634, 4323, 3762, 1100, 10250, 267, 543, 666, 581, 2944, 2789, 2053, 547, 10544, 513, 1114, 4351, 476, 5038, 298, 540, 3965, 269, 901, 1797, 602, 4376, 538, 3965, 4534, 9399, 299, 4357, 10569, 267, 3593, 10569, 267, 4376, 4534, 568, 7925, 269, 1656, 596, 723, 547, 8263, 602, 621, 568, 782, 19847, 269, 2353, 540, 621, 563, 257, 29272, 770, 13116, 257, 568, 519, 1318, 2262, 269, 2201, 519, 4336, 540, 476, 272, 547, 476, 1015, 267, 713, 568, 606, 476, 1556, 563, 763, 17079, 814, 1044, 1273, 3481, 269, 2991, 596, 15429, 707, 1949, 267, 596, 723, 547, 1205, 513, 1007, 1857, 270, 1440, 10675, 1883, 6292, 267, 9337, 707, 9399, 299, 15149, 267, 543, 1287, 1689, 1169, 10957, 602, 1223, 5732, 581, 4299, 563, 4263, 713, 1448, 267, 519, 5506, 568, 2673, 547, 835, 602, 1169, 3077, 814, 1185, 922, 4357, 10569, 13939, 676, 2789, 4987, 8041, 269, 634, 1483, 2243, 568, 2436, 610, 711, 2576, 22393, 17332, 713, 17079, 883, 7046, 7704, 299, 267, 543, 814, 1185, 1079, 1296, 540, 4652, 9116, 1229, 1569, 547, 3388, 269, 3733, 7058, 568, 8009, 267, 855, 594, 723, 1100, 6169, 269, 634, 865, 10777, 17079, 729, 7000, 593, 11728, 267, 543, 621, 779, 3533, 2808, 607, 513, 7887, 3354, 13438, 538, 2780, 1686, 563, 29587, 1076, 539, 568, 513, 21472, 17079, 1336, 538, 7046, 7704, 299, 4528, 476, 272, 269, 271, 269, 272, 543, 476, 272, 269, 271, 269, 273, 1532, 9508, 912, 763, 9839, 1076, 539, 17079, 2636, 4896, 593, 519, 5769, 547, 1224, 519, 3965, 540, 519, 1949, 6870, 676, 519, 7925, 8747, 540, 519, 7046, 7704, 299, 3301, 269, 901, 8332, 2478, 519, 5728, 10569 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4785, 476, 23841, 280, 3953, 273, 589, 454, 288, 3002, 9401, 9734, 5161, 540, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 667, 9680, 547, 519, 19976, 5011, 540, 519, 10824, 609, 18761, 8728, 540, 8424, 540, 7755, 334, 1456, 10824, 20177, 1927, 547, 5581, 9757, 2095, 735, 25902, 585, 519, 3002, 5385, 12862, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 998, 476, 5197, 667, 9680, 609, 2463, 547, 519, 7755, 334, 1456, 6676, 865, 602, 519, 1351, 2607, 725, 3444, 835, 1776, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 1776, 267, 588, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 547, 13822, 513, 27532, 3002, 5385, 24386, 610, 3002, 3613, 4392, 13111, 563, 5141, 2727, 338, 2139, 538, 454, 20373, 630, 8016, 305, 1257, 949, 2270, 6959, 994, 4462, 924, 2276, 30171, 476, 272, 715, 817, 518, 1696, 620, 563, 314, 9340, 476, 274, 267, 4037, 280, 267, 27088, 1496, 26493, 20029, 269, 476, 1240, 267, 3192, 274, 454, 272, 476, 272, 16777, 2969, 12327, 6224, 20315, 2207, 476, 18023, 832, 281, 31133, 531, 4432, 20550, 715, 817, 518, 267, 623, 272, 534, 1122, 326, 282, 961, 753, 9546, 323, 10458, 267, 9986, 325, 337, 1846, 20377, 639, 523, 267, 1312, 540, 5125, 476, 25849, 2465, 281, 14811, 324, 1325, 26152, 10622, 20635, 577, 10762, 2676, 310, 625, 21112, 523, 267, 5125, 476, 21854, 674, 6150, 281, 20029, 269, 476, 1704, 267, 476, 3192, 272, 476, 21076, 10331, 269, 3143, 12727, 476, 8687, 267, 276, 1240, 454, 14579, 13335, 13405, 640, 4578, 4239, 269, 476, 272, 267, 476, 3192, 272, 5125, 623, 476, 736, 476, 4366, 476, 4343, 277, 269, 278, 454, 7367, 2475, 269, 1849, 269, 476, 13679, 270, 14917, 476, 2271, 269, 1849, 674, 27005, 476, 274, 270, 876, 1496, 6812, 348, 12197, 540, 9612, 476, 13679, 270, 14917, 267, 476, 15757, 454, 22108, 24764, 6167, 3951, 3633, 29865, 2464, 623, 2969, 19006, 476, 274, 267, 13301, 267, 28803, 476, 274, 270, 3422, 277, 1488, 6996, 476, 13679, 270, 15757, 476, 274, 267, 6321, 279, 267, 278, 4792, 476, 274, 270, 3192, 272, 23951, 2784, 476, 13679, 270, 14917, 476, 1015, 270, 3422, 280, 570, 14309, 523, 321, 1075, 615, 476, 278, 270, 3192, 272, 30338, 12729, 1401, 3133, 518, 268, 28846, 808, 269, 3733, 327, 516, 19608, 1401, 3133, 518, 268, 763, 17232, 654, 269, 6790, 2544, 267, 12789, 269, 30374, 11860, 22611, 674, 269, 17664, 476, 9474, 22552, 16898, 589, 3002, 9401, 9734, 5161, 540, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 547, 519, 19976, 5011, 540, 519, 10824, 609, 18761, 8728, 540, 8424, 540, 7755, 334, 1456, 10824, 20177, 1927, 547, 5581, 9757, 2095, 735, 25902, 585, 519, 3002, 5385, 12862, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 998, 476, 5197, 609, 2463, 547, 519, 7755, 334, 1456, 6676, 865, 602, 519, 1351, 2607, 725, 3444, 835, 1776, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 606, 582, 1156, 560, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 547, 13822, 513, 27532, 3002, 5385, 24386, 610, 3002, 3613, 4392, 13111, 563, 278, 28787, 338, 267, 476, 277, 14301, 22955, 589, 589, 292, 15829, 262, 1775, 267, 2073, 278, 594, 966, 594, 262, 594, 476, 272, 476, 275, 476, 276, 25420, 4149, 18694, 561, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 7537, 3201, 700, 5442, 7730, 306, 2207, 674, 296, 23177, 1422, 292, 3201, 291, 6938, 3198, 301, 5442, 309, 7728, 27633, 15760, 544, 561, 1775, 13078, 3248, 2969, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 274, 267, 4037, 280, 267, 27088, 454, 276, 25420, 4149, 18694, 476, 273, 674, 347, 294, 269, 273, 522, 2641, 670, 9083, 273, 561, 273, 16658, 269, 277, 454, 294, 4456, 3201, 20700, 667, 2562, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 5442, 309, 7728, 27633, 10127, 17953, 11083, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 274, 267, 4037, 280, 267, 27088, 454, 276, 25420, 4149, 18694, 476, 274, 16658, 269, 274, 454, 294, 4456, 3201, 20700, 476, 271, 332, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 561, 301, 309, 7728, 27633, 11083, 307, 3036, 20911, 312, 4793, 5034, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 276, 25420, 4149, 18694, 476, 275, 681, 661, 590, 590, 589, 715, 594, 476, 273, 570, 476, 276, 28679, 476, 277, 631, 7711, 272, 544, 530, 15829, 476, 279, 561, 544, 267, 834, 307, 6515, 21191, 476, 275, 670, 476, 277, 561, 961, 650, 961, 961, 961, 331, 592, 335, 269, 1627, 570, 513, 589, 8150, 476, 277, 570, 530, 642, 570, 1775, 642, 476, 273, 642, 476, 272, 570, 1775, 561, 966, 552, 544, 589, 7117, 586, 808, 530, 808, 589, 561, 642, 476, 278, 513, 281, 544, 476, 277, 454, 2969, 307, 3036, 20911, 312, 30171, 1196, 20029, 269, 476, 1240, 267, 476, 3192, 274, 476, 276, 25420, 4149, 18694, 476, 276, 717, 4456, 3201, 20700, 667, 2562, 7730, 306, 2207, 670, 23177, 654, 3201, 19699, 3198, 301, 5442, 309, 7728, 27633, 563, 289, 312, 12103, 476, 24798, 338, 3248, 2969, 307, 3036, 20911, 312, 16777, 2969, 12327, 6224, 20315, 2207, 595, 4629, 7704, 268, 3918, 29052, 9970, 9215, 23781, 28714, 6673, 12195, 2975, 25972, 674, 296, 5085, 291, 5508, 5990, 5442, 309, 2894, 3582, 634, 8216, 3498, 12211, 547, 3002, 7721, 577, 9734, 3889, 585, 519, 2500, 4483, 540, 3002, 1851, 1079, 610, 811, 12862, 543, 267, 811, 3226, 267, 547, 513, 3002, 9401, 9734, 5665, 693, 2547, 538, 851, 593, 27532, 3741, 563, 289, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 17934, 15178, 3002, 9401, 13377, 267, 538, 799, 8424, 540, 11105, 10824, 5581, 2095, 20830, 585, 835, 610, 811, 12862, 9862, 547, 29906, 519, 10518, 540, 10824, 1063, 513, 5714, 17752, 543, 513, 5714, 29504, 616, 1134, 1634, 538, 519, 1148, 607, 513, 3982, 1826, 540, 3002, 9401, 9734, 267, 547, 581, 3379, 610, 4334, 539, 609, 8546, 5991, 652, 3002, 7721, 577, 13377, 543, 8546, 321, 1495, 548, 3002, 9401, 13377, 269, 769, 6676, 15178, 3002, 9401, 13377, 267, 32047, 267, 621, 814, 1044, 6069, 547, 1683, 1351, 2607, 730, 10824, 610, 547, 22775, 519, 10824, 811, 610, 1447, 25144, 538, 1931, 547, 3895, 31285, 543, 2333, 519, 3002, 10520, 2536, 2557, 689, 835, 5714, 547, 519, 824, 998, 519, 6676, 6438, 3774, 19459, 519, 9757, 2095, 735, 25902, 269, 1280, 519, 1034, 851, 267, 6676, 15178, 3002, 9401, 13377, 540, 6671, 4070, 616, 7199, 267, 723, 13385, 3002, 7721, 4219, 4398, 543, 3112, 581, 19632, 10375, 569, 269, 5015, 267, 789, 949, 581, 6353, 676, 513, 3668, 540, 17545, 585, 3875, 12862, 543, 2409, 540, 3002, 4483, 563, 4263, 713, 1448, 267, 649, 1058, 2446, 602, 3875, 12331, 540, 3002, 4483, 616, 1455, 538, 519, 1148, 269, 769, 1463, 3002, 5385, 267, 585, 1383, 267, 835, 3002, 20675, 2536, 5714, 949, 581, 5293, 538, 4831, 268, 9690, 547, 519, 824, 630, 324, 3052, 269, 950, 519, 1101, 568, 513, 8375, 3154, 543, 519, 2034, 568, 513, 27312, 1225, 1555, 540, 5277, 264, 865, 602, 519, 3002, 540, 519, 5449, 568, 11843, 547, 519, 8545, 676, 1463, 3346, 543, 1510, 1022, 26740, 3002, 4859, 610, 1510, 1022, 25801, 4483, 1063, 873, 269, 769, 835, 9940, 3002, 20675, 2536, 4480, 267, 835, 3002, 7721, 4219, 5714, 568, 5293, 998, 513, 2095, 26654, 540, 513, 646, 622, 343, 577, 9734, 3989, 676, 513, 5687, 958, 25801, 3774, 799, 8195, 568, 30409, 593, 519, 6587, 2427, 676, 513, 2034, 3002, 20675, 2536, 5714, 269, 4014, 519, 4483, 540, 3002, 547, 519, 3774, 676, 519, 15911, 5714, 543, 519, 4726, 335, 512, 542, 540, 3002, 689, 519, 3774, 676, 519, 16830, 5714, 3217, 1747, 8195, 267, 519, 4483, 568, 18562, 9940, 2094, 621, 3340, 519, 10827, 776, 540, 519, 3774, 269, 769, 713, 2013, 267, 519, 3774, 11151, 11544, 540, 519, 12862, 855, 2636, 3002, 4483, 689, 835, 547, 519, 824, 269, 769, 1776, 538, 1463, 3002, 7721, 4219, 7154, 267, 513, 3002, 3613, 4392, 13111, 568, 3177, 538, 519, 3002, 9401, 9734, 543, 949, 581, 30409, 609, 513, 5266, 3636, 5714, 547, 6318, 519, 2837, 540, 519, 2527, 543, 13604, 676, 513, 5266, 3579, 5714, 547, 7493, 3002, 689, 519, 2527, 269, 634, 27727, 540, 3002, 689, 519, 2527, 949, 581, 2808, 513, 4859, 540, 4411, 972, 514, 267, 519, 4411, 1373, 11843, 547, 513, 5266, 341, 3636, 5714, 693, 519, 1376, 540, 519, 6404, 4783, 269, 634, 8545, 3002, 7721, 4219, 7154, 568, 1419, 17941, 27532, 267, 2094, 519, 4483, 689, 835, 5714, 547, 519, 824, 3217, 1747, 3842, 513, 8143, 4859, 13111, 543, 538, 1079, 3982, 11775, 9674, 538, 942, 269, 32279, 621, 568, 14909, 547, 946, 513, 3002, 9401, 9734, 585, 21800, 9940, 3002, 5385, 543, 27532, 3002, 5385, 267, 585, 513, 3677, 1297, 540, 12862, 982, 1034, 6671, 3002, 9401, 13377, 666, 6707, 2308, 267, 543, 609, 1164, 646, 622, 343, 4219, 4398, 543, 1970, 3854, 1942, 563, 15477, 297, 4488, 4811, 5508, 5990, 5442, 309, 2894, 3582, 898, 568, 606, 1843, 540, 519, 8798, 547, 1683, 606, 4824, 3002, 9401, 9734, 13296, 519, 27069, 11393, 616, 14284, 563, 2005, 568, 849, 606, 1843, 540, 519, 8798, 547, 1683, 513, 1970, 322, 739, 267, 3810, 11684, 267, 3362, 19632, 543, 1164, 4398, 3002, 9401, 9734, 563, 306, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 1452, 3615, 267, 543, 1866, 799, 786, 1831, 7805, 1934, 2088, 1123, 267, 616, 25189, 538, 13076, 609, 519, 8798, 609, 513, 3002, 9401, 9734, 16030, 513, 10518, 540, 14328, 1351, 2607, 730, 10824, 4171, 1351, 2607, 725, 2196, 693, 7285, 540, 476, 3393, 547, 519, 19976, 543, 29529, 5011, 540, 519, 10824, 269, 634, 8545, 723, 27808, 569, 18761, 630, 638, 6621, 1037, 264, 8728, 20177, 547, 519, 8728, 540, 7755, 334, 1456, 10824, 609, 519, 3976, 1790, 8529, 10824, 538, 1394, 3562, 25746, 2078, 609, 519, 11105, 8424, 269, 3962, 6292, 540, 32296, 10824, 568, 29352, 630, 4944, 520, 6053, 264, 998, 561, 609, 2463, 547, 519, 20367, 972, 5976, 865, 602, 519, 1351, 2607, 566, 14249, 616, 20102, 15385, 593, 20102, 11105, 10824, 269, 9737, 519, 10824, 4171, 18761, 8728, 616, 5828, 4724, 835, 1776, 267, 588, 2931, 540, 13974, 1351, 2607, 730, 10824, 616, 3177, 538, 22274, 2078, 547, 13822, 513, 27532, 3002, 7721, 577, 9734, 24386, 563, 1103, 13076, 609, 519, 8798, 543, 609, 3741, 3989, 538, 3498, 5395, 269, 3143, 269, 476, 6507, 274, 267, 5400, 273, 543, 3498, 5395, 269, 3143, 269, 476, 3393, 267, 9032, 277, 5018, 4505, 267, 3002, 7721, 577, 9734, 735, 25902, 616, 2813, 676, 13841, 267, 4421, 1359, 610, 6382, 27575, 1927, 519, 20102, 29270, 17534, 610, 8728, 540, 513, 6292, 540, 1351, 2607, 730, 6656, 2173, 13926, 10824, 267, 519, 10824, 1373, 22274, 689, 835, 1776, 547, 3989, 835, 26654, 543, 5581, 609, 824, 10824, 835, 610, 811, 3606, 735, 25902, 563, 5415, 4481, 267, 3498, 5395, 269, 3143, 269, 476, 6507, 274, 267, 5400, 273, 2488, 513, 3002, 9401, 9734, 538, 799, 519, 1351, 2607, 730, 10824, 1106, 8546, 15985, 956, 269, 4935, 267, 1142, 6292, 540, 8546, 10824, 14084, 538, 14742, 6252, 547, 519, 5044, 540, 20102, 6252, 13740, 547, 581, 4646, 972, 24992, 814, 267, 593, 29270, 5011, 2676, 320, 32469, 540, 22274, 268, 777, 691, 29270, 6677, 822, 885, 610, 1351, 2607, 725, 799, 20102, 11578, 547, 13822, 519, 9757, 13740, 1063, 873, 269, 634, 5266, 6094, 2914, 718, 10824, 616, 23295, 4646, 609, 519, 9757, 6677, 822, 885, 676, 22636, 540, 519, 10824, 538, 519, 6073, 610, 1351, 2607, 725, 609, 1142, 6677, 822, 640, 14178, 936, 606, 9095, 10126, 540, 827, 634, 6677, 822, 885, 616, 9674, 676, 3103, 799, 9114, 538, 513, 5603, 564, 1537, 7077, 540, 519, 5044, 543, 616, 3622, 1544, 541, 865, 607, 547, 581, 1071, 2169, 2400, 609, 519, 7222, 3103, 540, 519, 29270, 6676, 269, 1452, 28937, 267, 950, 1142, 6292, 540, 10824, 568, 19632, 609, 519, 10824, 538, 20102, 29270, 2078, 267, 1106, 519, 17923, 28937, 1063, 1142, 6292 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 27240, 1801, 2147, 547, 4860, 30055, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 12532, 543, 681, 728, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 1692, 2484, 723, 891, 1053, 15336, 676, 519, 942, 519, 4116, 781, 1286, 10301, 873, 1310, 741, 1668, 13264, 1524, 2496, 2162, 1215, 10787, 6496, 621, 8844, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 519, 3845, 621, 12599, 693, 1142, 3942, 780, 2162, 1215, 6008, 788, 1772, 519, 32437, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4002, 519, 7470, 3177, 267, 649, 666, 2721, 3515, 609, 1114, 27080, 269, 1215, 1082, 1114, 27080, 666, 596, 1265, 286, 2052, 596, 6582, 873, 538, 1931, 540, 14869, 1145, 2496, 2162, 700, 777, 8648, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10521, 7814, 1235, 267, 1316, 2358, 593, 513, 3950, 267, 1780, 1142, 824, 693, 519, 4358, 1899, 543, 979, 693, 3586, 11250, 1862, 2052, 596, 1265, 22272, 2053, 602, 616, 971, 602, 519, 7814, 1235, 786, 2743, 4010, 3368, 1259, 5180, 519, 269, 1547, 1547, 16317, 2162, 5455, 543, 21661, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 922, 7299, 543, 8880, 3350, 693, 1142, 3942, 780, 2162, 23155, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1281, 519, 2990, 540, 519, 1899, 1860, 519, 3830, 540, 519, 1899, 286, 1548, 666, 596, 2161, 827, 519, 4834, 540, 6252, 3515, 2496, 2162, 11272, 31509, 1479, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 18439, 519, 2078, 1063, 4187, 543, 2837, 692, 2162, 22084, 17547, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10521, 21772, 4734, 693, 519, 1482, 942, 689, 1079, 10034, 26757, 17980, 543, 966, 652, 517, 593, 519, 1482, 1279, 4155, 267, 21409, 2509, 1142, 824, 269, 2311, 1142, 13304, 2059, 519, 4155, 616, 19325, 269, 634, 21772, 262, 11250, 616, 3586, 269, 1547, 1547, 16317, 2162, 25927, 908, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 547, 519, 3830, 540, 1114, 3515, 950, 596, 14377, 873, 269, 8347, 547, 3589, 1018, 786, 4755, 269, 11512, 707, 4681, 780, 2162, 27339, 11814, 528, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8624, 937, 607, 1082, 19987, 607, 596, 666, 676, 5373, 1614, 2786, 3515, 780, 2162, 18289, 32190, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 19185, 693, 519, 3113, 910, 950, 729, 519, 1268, 3001, 16595, 286, 20405, 652, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 4188, 519, 7455, 865, 519, 29950, 12772, 609, 2282, 3586, 7299, 6991, 2496, 2162, 14484, 532, 20514, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 547, 519, 4834, 540, 1114, 3515, 950, 596, 2992, 873, 538, 835, 540, 519, 17887, 269, 8347, 547, 3589, 1018, 786, 4755, 269, 11512, 707, 4681, 780, 2162, 700, 3539, 543, 4258, 908, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10287, 519, 5528, 543, 596, 666, 1491, 513, 13551, 267, 2759, 621, 883, 476, 275, 4773, 267, 1167, 731, 1079, 1507, 12730, 267, 2322, 1927, 519, 6967, 1079, 4773, 543, 1439, 909, 609, 513, 13551, 519, 1482, 2450, 269, 8347, 621, 2439, 2162, 2311, 9406, 27449, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 6430, 2436, 1079, 3515, 616, 13902, 610, 711, 286, 2052, 596, 798, 713, 1510, 5373, 873, 2496, 2162, 6904, 1772, 4258, 1653, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2691, 594, 6288, 1250, 1286, 538, 4569, 560, 1144, 267, 972, 616, 1079, 1286, 11614, 547, 3442, 689, 269, 6904, 1286, 6288, 1058, 594, 946, 2496, 2162, 5080, 19828, 17992, 725, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 296, 3576, 519, 3113, 586, 284, 275, 343, 266, 278, 543, 5340, 2185, 14759, 269, 2052, 596, 1265, 519, 1931, 538, 799, 594, 1223, 723, 5645, 856, 519, 14759, 2496, 2162, 10965, 5622, 651, 1042, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 1103, 513, 2879, 809, 518, 3014, 519, 6960, 3440, 729, 593, 519, 9067, 540, 519, 17927, 855, 621, 1223, 711, 581, 5734, 2047, 607, 519, 3109, 3440, 729, 538, 519, 1259, 269, 1215, 1223, 621, 581, 1494, 1540, 676, 4730, 519, 3043, 3440, 1055, 513, 31289, 2496, 2162, 3131, 12993, 20514, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 303, 3789, 519, 3515, 865, 602, 789, 616, 13902, 547, 1142, 824, 269, 1548, 666, 596, 2161, 827, 519, 4834, 540, 13902, 3515, 2496, 2162, 631, 10212, 956, 18903, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 666, 1847, 519, 476, 275, 4773, 540, 519, 795, 12127, 1177, 543, 3514, 873, 883, 1312, 14592, 269, 11512, 1018, 814, 5949, 547, 519, 7508, 835, 1770, 540, 1858, 780, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 476, 272, 25451, 13306, 814, 835, 3068, 593, 519, 2666, 543, 835, 3068, 1996, 513, 3774, 269, 589, 476, 275, 25451, 21117, 682, 753, 1996, 519, 3774, 543, 1175, 18953, 519, 13306, 269, 1215, 1164, 568, 519, 1283, 540, 519, 21117, 1657, 519, 2666, 2496, 2162, 3245, 2353, 12397, 619, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 1805, 571, 697, 3515, 616, 6537, 689, 1142, 7944, 540, 513, 4009, 547, 519, 4571, 2798, 540, 519, 6587, 5011, 269, 18124, 519, 1858, 540, 519, 12354, 6782, 602, 568, 4646, 693, 519, 8998, 607, 513, 6824, 540, 519, 1858, 540, 519, 4009, 780, 2162, 6904, 1772, 8262, 3455, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 7617, 568, 8273, 267, 562, 266, 1015, 610, 476, 273, 333, 266, 274, 286, 2052, 596, 1265, 513, 1434, 1505, 540, 16460, 2147, 2055, 2496, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 692, 19868, 334, 2337, 721, 547, 1174, 27080, 540, 3515, 543, 1946, 631, 10212, 956, 18903, 568, 711, 9059, 855, 6128, 269, 6423, 519, 1966, 631, 10212, 956, 9059, 269, 0, 258, 14181, 18602, 692, 296, 5063, 11751, 513, 1433, 540, 14181, 18602, 13410, 693, 606, 19633, 547, 798, 593, 513, 7077, 269, 634, 6727, 8560, 540, 14181, 18602, 814, 14281, 803, 513, 3787, 267, 1317, 4352, 14181, 18602, 568, 513, 1360, 1434, 11015, 28203, 267, 1152, 835, 610, 1079, 13410, 513, 8717, 2731, 5734, 519, 2462, 942, 780, 306, 644, 18602, 814, 513, 2603, 540, 1360, 3551, 8799, 2934, 269, 5502, 540, 1373, 513, 2582, 2182, 11015, 267, 621, 781, 513, 11015, 28203, 267, 2870, 513, 2760, 268, 2056, 1305, 540, 13410, 547, 4194, 269, 22895, 958, 267, 621, 781, 3833, 3551, 547, 4323, 267, 711, 1256, 8506, 1840, 269, 634, 7411, 540, 13410, 9775, 267, 3850, 513, 24626, 547, 4584, 835, 540, 741, 5551, 1377, 269, 1703, 781, 513, 3099, 540, 4277, 2553, 585, 1818, 17429, 2388, 269, 1656, 540, 1576, 267, 519, 3652, 616, 2241, 2614, 547, 2491, 538, 1175, 513, 1906, 3764, 780, 2467, 616, 1896, 9425, 3551, 10509, 514, 13196, 1034, 1004, 946, 585, 1818, 17429, 2388, 538, 14181, 18602, 269, 3689, 267, 596, 666, 8237, 1142, 1591, 883, 8370, 9811, 270, 7224, 2829, 267, 585, 2436, 602, 1591, 568, 1142, 2009, 7857, 269, 667, 9254, 2388, 1287, 2139, 1331, 281, 1403, 972, 781, 1152, 835, 2230, 585, 513, 2016, 7857, 538, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 1287, 602, 1591, 1590, 581, 602, 7857, 269, 1403, 782, 7399, 855, 835, 585, 513, 2582, 1591, 616, 16934, 1287, 602, 1591, 1590, 2270, 519, 6967, 7857, 269, 1403, 782, 2139, 4025, 585, 513, 2016, 7857, 538, 513, 2582, 7449, 13645, 2049, 538, 513, 2582, 4737, 270, 26383, 267, 1287, 602, 7857, 666, 1405, 2408, 9170, 3116, 538, 602, 4737, 270, 26383, 269, 19452, 585, 1624, 675, 2325, 538, 513, 4737, 270, 26383, 799, 782, 616, 538, 519, 1482, 7449, 13645, 269, 7053, 267, 952, 1079, 2281, 1369, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 1142, 1152, 723, 1079, 7399, 2451, 267, 543, 1346, 1502, 756, 559, 2572, 616, 1312, 519, 1482, 267, 1287, 9444, 540, 1346, 9704, 666, 2408, 9170, 3116, 538, 602, 4737, 270, 26383, 4882, 889, 338, 13645, 780, 4322, 2553, 616, 782, 2027, 2665, 540, 1079, 1360, 3532, 4485, 267, 1312, 540, 799, 1413, 1152, 693, 513, 15410, 540, 519, 1634, 11015, 9993, 269, 634, 1101, 835, 568, 602, 649, 11716, 782, 2009, 1239, 855, 2436, 1142, 1591, 568, 513, 1808, 7857, 267, 543, 1118, 17429, 2388, 1369, 602, 15410, 540, 519, 2698, 11015, 9993, 269, 634, 824, 568, 602, 649, 1413, 693, 519, 9450, 1344, 540, 2436, 1142, 1591, 666, 581, 1142, 1808, 7857, 267, 543, 3970, 938, 7744, 547, 513, 2582, 4737, 270, 26383, 4882, 889, 338, 13645, 269, 594, 4734, 621, 547, 519, 5467, 547, 4137, 856, 799, 540, 519, 12863, 2553, 616, 513, 2027, 2013, 540, 1142, 540, 519, 811, 2489, 2553, 780, 3682, 21793, 609, 1454, 12863, 2497, 267, 971, 607, 476, 274, 338, 520, 267, 1810, 1405, 723, 10375, 29162, 540, 9993, 799, 666, 581, 1031, 585, 23221, 267, 543, 1995, 814, 9244, 8612, 602, 519, 1655, 1259, 547, 4323, 873, 9688, 1947, 568, 3274, 547, 946, 1394, 10177, 9535, 269, 7982, 10177, 9535, 568, 519, 4480, 1141, 596, 2119, 835, 7872, 267, 543, 960, 693, 621, 2394, 596, 2901, 1265, 513, 3070, 610, 3313, 602, 972, 568, 9039, 538, 602, 1899, 267, 1287, 1847, 593, 547, 824, 7399, 269, 1403, 596, 1810, 1405, 1416, 827, 16798, 2164, 972, 616, 930, 19747, 32094, 2553, 267, 10416, 9967, 540, 2921, 513, 9864, 3070, 543, 3190, 532, 609, 621, 2394, 621, 3587, 513, 2407, 3070, 267, 799, 960, 1732, 269, 594, 1810, 1405, 1589, 972, 616, 1022, 1732, 29162, 585, 946, 593, 14181, 18602, 982, 519, 3283, 594, 5795, 1657, 267, 865, 585, 6061, 20902, 14181, 18602, 609, 2427, 3259, 3152, 982, 476, 274, 707, 1655, 914, 1131, 581, 547, 946, 1312, 17429, 794, 2553, 2394, 789, 1312, 3247, 27548, 2164, 267, 1287, 18992, 547, 1394, 10177, 9535, 780, 763, 1259, 594, 4194, 14181, 18602, 13410, 568, 547, 1101, 4137, 856, 1018, 594, 666, 17429, 576, 1759, 593, 1152, 519, 476, 272, 338, 267, 1287, 1152, 519, 476, 273, 338, 267, 1287, 476, 274, 338, 267, 3092, 269, 543, 950, 594, 1205, 547, 476, 280, 16833, 1394, 1472, 547, 476, 272, 269, 1403, 594, 1118, 606, 3003, 4783, 1510, 1373, 2111, 547, 17429, 576, 4376, 267, 594, 1376, 1603, 1018, 519, 2009, 9704, 616, 538, 1142, 1591, 543, 1118, 17429, 2388, 1759, 593, 602, 269, 901, 1935, 3096, 519, 1101, 540, 519, 1079, 3532, 2553, 267, 594, 4782, 621, 6140, 1317, 621, 781, 606, 2179, 540, 1344, 538, 513, 1106, 594, 666, 11593, 3180, 538, 1250, 2212, 267, 7429, 519, 824, 1935, 267, 799, 568, 1932, 1454, 1344, 547, 3180, 538, 1250, 2370, 2634, 693, 2899, 780, 2304, 4277, 844, 25184, 540, 1480, 17133, 568, 602, 649, 2811, 1360, 3983, 693, 3257, 1394, 10177, 9535, 269, 2755, 649, 666, 3362, 4558, 5266, 1804, 5666, 540, 1344, 538, 513, 10518, 267, 543, 5266, 1804, 5666, 540, 1344, 11231, 607, 606, 3239, 267, 513, 3833, 1507, 2179, 540, 1394, 10177, 9535, 1344, 786, 12235, 721, 4625, 269, 594, 4312, 1279, 7138, 1194, 607, 547, 1946, 713, 568, 267, 543, 14353, 602, 621, 6585, 513, 1297, 540, 10881, 547, 519, 25029, 540, 1480, 17133, 267, 855, 594, 2007, 816, 269, 1403, 596, 6999, 547, 18992, 547, 1394, 10177, 9535, 593, 513, 14181, 18602, 11015, 267, 519, 1034, 16022, 1259, 547, 798, 621, 568, 547, 1118, 2789, 2347, 12215, 540, 519, 3003, 4604, 267, 543, 2322, 1142, 7872, 585, 519, 3364, 1373, 4839, 3481, 593, 538, 4010, 835, 540, 873, 269, 1411, 2811, 1034, 2693, 547, 1118, 4028, 3356, 676, 4839, 4221, 593, 1945, 609, 4010, 1079, 7399, 267, 585, 1383, 513, 2582, 1591, 799, 1590, 581, 835, 540, 1079, 2009, 9704, 267, 610, 513, 4737, 799, 814, 1079, 2009, 7158, 585, 513, 1880, 7857, 547, 979, 538, 269, 1411 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3442, 8902, 8925, 267, 3056, 547, 3152, 1134, 5630, 543, 6038, 267, 19802, 689, 7092, 780, 4089, 476, 274, 281, 11588, 540, 28552, 24238, 692, 303, 847, 6005, 11009, 3091, 3875, 2640, 1312, 14156, 543, 9308, 269, 2368, 5383, 1331, 4389, 2566, 267, 2799, 1445, 267, 4824, 3929, 7939, 267, 8476, 1582, 18221, 267, 543, 1732, 3207, 2298, 269, 3958, 267, 1382, 5267, 602, 2834, 11009, 2259, 949, 7794, 519, 4761, 1062, 267, 2087, 9025, 1072, 267, 543, 6175, 5312, 1928, 780, 12244, 5384, 281, 8347, 713, 2241, 2534, 547, 6338, 11009, 883, 707, 3232, 1272, 269, 5590, 11735, 2947, 3764, 1142, 1554, 585, 835, 3018, 547, 2259, 13533, 7244, 269, 4855, 513, 9602, 5544, 267, 1694, 20354, 267, 2673, 707, 4064, 267, 543, 1445, 593, 707, 7362, 269, 1403, 707, 2247, 18389, 619, 267, 9900, 3142, 707, 3007, 1394, 547, 707, 7362, 269, 2311, 519, 1439, 540, 519, 3018, 267, 2992, 593, 1022, 2242, 596, 8068, 1282, 713, 942, 780, 6962, 281, 3414, 11009, 267, 649, 3605, 519, 1379, 540, 2713, 538, 519, 1459, 4090, 269, 1284, 1100, 3476, 29677, 1310, 7904, 7566, 5007, 2959, 540, 8788, 855, 3079, 20741, 938, 6418, 4708, 543, 7772, 269, 5457, 267, 519, 2619, 547, 20106, 6238, 689, 1369, 267, 543, 11009, 568, 513, 2629, 1900, 2509, 30196, 602, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1919, 602, 3180, 513, 1268, 1394, 689, 1140, 8724, 30593, 618, 563, 8368, 540, 12937, 454, 763, 3406, 585, 18266, 267, 585, 1483, 5314, 267, 31414, 267, 21481, 267, 17648, 538, 1034, 1004, 519, 1106, 540, 513, 2318, 1391, 269, 1358, 1256, 1268, 1518, 519, 1843, 540, 741, 3406, 267, 799, 3587, 513, 13287, 540, 2696, 269, 9282, 1390, 5289, 2367, 723, 10294, 602, 968, 1492, 10806, 540, 2696, 568, 1369, 26899, 5608, 519, 3406, 3587, 513, 13287, 540, 606, 1843, 1881, 9345, 269, 1809, 513, 13287, 568, 849, 513, 4881, 268, 12537, 267, 606, 9101, 269, 769, 713, 14834, 2196, 2705, 267, 543, 711, 1354, 267, 812, 7959, 602, 646, 568, 535, 9116, 1229, 282, 543, 1010, 7287, 547, 581, 1863, 538, 1931, 547, 1831, 8087, 609, 519, 1843, 540, 1010, 5289, 1279, 532, 267, 3587, 6793, 269, 28214, 1010, 791, 582, 1890, 547, 2736, 1346, 11800, 282, 799, 723, 1044, 13684, 2390, 1864, 1765, 15290, 576, 646, 6487, 711, 1765, 515, 13290, 547, 3489, 948, 689, 3544, 269, 1809, 676, 13461, 2390, 3544, 948, 646, 4422, 2476, 2417, 543, 2417, 689, 519, 10806, 1369, 267, 543, 646, 8806, 2306, 4195, 7554, 799, 17063, 1864, 1524, 811, 16119, 982, 1354, 563, 2005, 568, 1152, 519, 812, 945, 19707, 267, 602, 905, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 13221, 1315, 634, 9545, 3385, 1315, 24238, 630, 306, 10620, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 17796, 543, 28518, 6176, 692, 8893, 476, 274, 281, 32274, 519, 3778, 540, 14313, 543, 4658, 6732, 692, 1103, 2221, 781, 3059, 2085, 267, 4466, 1344, 2228, 814, 2760, 1044, 4443, 269, 2060, 1175, 513, 1906, 30390, 267, 649, 666, 1569, 9118, 4930, 267, 2835, 267, 7044, 267, 543, 811, 827, 1022, 1888, 602, 533, 2294, 938, 7279, 269, 1717, 267, 723, 596, 2479, 11074, 547, 1589, 827, 875, 6325, 713, 1344, 1522, 581, 286, 2052, 596, 3972, 3388, 596, 1224, 2228, 286, 1215, 798, 596, 917, 952, 1018, 596, 1265, 568, 4977, 267, 909, 3562, 15082, 267, 543, 1759, 593, 5013, 2864, 982, 25749, 2496, 2414, 1831, 5100, 6800, 540, 2228, 1344, 267, 621, 781, 1898, 547, 1451, 875, 547, 10250, 519, 1686, 540, 2093, 543, 1004, 1210, 1585, 2200, 2139, 593, 519, 4950, 269, 901, 5578, 786, 948, 596, 1732, 1174, 1141, 519, 1344, 2501, 689, 267, 945, 2813, 621, 267, 950, 621, 729, 3370, 267, 543, 2436, 621, 814, 22734, 1022, 1713, 10311, 2094, 1287, 269, 1635, 10442, 891, 2188, 267, 596, 666, 1020, 513, 2565, 14820, 543, 3313, 2436, 1945, 568, 4502, 4687, 609, 1866, 610, 19696, 538, 513, 1382, 1788, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 835, 1383, 540, 16439, 519, 1686, 540, 606, 2856, 676, 3695, 519, 1272, 543, 960, 540, 9995, 528, 674, 7967, 322, 17844, 267, 513, 23826, 25164, 3315, 560, 945, 5030, 1063, 476, 6942, 274, 543, 476, 4350, 274, 269, 4014, 646, 949, 711, 581, 607, 1134, 1634, 607, 1010, 21927, 590, 10176, 1495, 22506, 267, 674, 7967, 322, 17844, 1500, 1271, 7418, 547, 519, 2361, 540, 6530, 267, 3226, 538, 2127, 971, 607, 1126, 2079, 543, 8194, 2126, 780, 5331, 596, 3357, 2066, 513, 4241, 2376, 11331, 834, 293, 7967, 322, 17844, 543, 3571, 2622, 281, 1234, 11779, 1782, 519, 13336, 540, 519, 14863, 777, 652, 3427, 257, 1247, 19855, 2228, 269, 1411, 1336, 519, 4062, 10578, 855, 4941, 547, 1451, 811, 827, 922, 2278, 267, 2796, 267, 543, 2959, 269, 7316, 1131, 596, 1376, 2496, 5575, 267, 2119, 3168, 909, 2596, 27367, 1344, 827, 9995, 528, 674, 7967, 322, 17844, 269, 4635, 18019, 7270, 899, 27429, 610, 15610, 2826, 11927, 3821, 267, 596, 666, 3605, 1883, 3877, 827, 1010, 1272, 267, 2069, 267, 4876, 267, 543, 2101, 10781, 269, 5457, 2141, 547, 5595, 27902, 5013, 1996, 2789, 2959, 547, 2327, 741, 6111, 780, 9202, 267, 2263, 824, 1568, 2854, 676, 610, 827, 674, 7967, 322, 17844, 269, 6733, 585, 4081, 13746, 267, 2835, 267, 32026, 267, 543, 11042, 10023, 1864, 269, 3115, 17014, 12240, 971, 607, 808, 4306, 3036, 267, 5616, 10104, 267, 610, 707, 2199, 5399, 17048, 616, 5140, 4025, 547, 2253, 10478, 269, 1879, 6313, 891, 2959, 267, 2628, 3007, 547, 8313, 7389, 543, 4589, 262, 22754, 547, 15378, 17258, 780, 3086, 267, 1577, 781, 2490, 938, 1445, 1394, 547, 519, 3312, 2376, 269, 1677, 6218, 922, 10727, 267, 2015, 10992, 519, 1739, 3344, 1384, 265, 8191, 781, 4282, 543, 6791, 281, 5808, 5206, 519, 2376, 286, 3657, 789, 28337, 609, 6444, 5238, 610, 3906, 1369, 519, 4143, 2361, 286, 5620, 789, 30363, 824, 12326, 593, 2147, 3584, 888, 265, 21629, 610, 13384, 1681, 3919, 281, 1772, 519, 3896, 16475, 519, 2376, 2404, 609, 9945, 267, 1875, 2889, 22327, 267, 2229, 9988, 267, 610, 2923, 14078, 1634, 585, 6721, 2298, 1543, 286, 2107, 1281, 621, 2408, 1447, 18019, 1813, 547, 7050, 10229, 267, 10259, 6959, 267, 610, 11786, 6811, 888, 265, 22910, 4266, 281, 13201, 519, 1570, 5063, 1044, 8242, 610, 15428, 286, 1403, 865, 267, 941, 972, 1022, 8101, 2242, 1500, 3379, 547, 3105, 8747, 888, 265, 13022, 725, 543, 8100, 281, 6496, 519, 2278, 1683, 1697, 14327, 585, 782, 20926, 2326, 543, 7194, 5018, 538, 519, 1257, 286, 6744, 930, 540, 1346, 2959, 3054, 547, 13182, 741, 10083, 543, 14496, 780, 3528, 8026, 891, 3268, 5781, 267, 596, 3513, 1831, 740, 30794, 693, 9691, 7421, 2228, 2959, 543, 18390, 8159, 741, 1871, 585, 707, 1382, 3785, 543, 2123, 4690, 269, 1306, 3743, 3059, 4961, 267, 1565, 875, 547, 10250, 519, 1686, 540, 2093, 543, 1004, 2228, 2337, 721, 3565, 9797, 547, 5717, 267, 6536, 2635, 7521, 267, 543, 3895, 23610, 1344, 5385, 1851, 9905, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 1504, 674, 7967, 322, 17844, 1656, 3571, 2622, 281, 1234, 11779, 1782, 634, 13336, 2986, 634, 14863, 777, 652, 3427, 454, 292, 1504, 674, 7967, 322, 17844, 1656, 3571, 2622, 281, 1234, 11779, 1782, 634, 13336, 2986, 634, 14863, 777, 652, 3427, 454, 14725, 8149, 609, 938, 796, 337, 643, 6817, 2242, 543, 20641, 256, 581, 938, 6213, 4825, 549, 1483, 21059, 256, 946, 519, 6305, 20539, 1182, 256, 2196, 4867, 547, 938, 5208, 585, 707, 14486, 547, 654, 2562, 513, 9097, 20646, 2880, 30166, 8132, 3018, 2272, 543, 5266, 3310, 856, 593, 519, 5767, 1004, 256, 631, 4932, 6020, 781, 8076, 6739, 9012, 5525, 5741, 267, 799, 4607, 20641, 540, 519, 19545, 674, 7967, 322, 17844, 543, 3571, 2622, 281, 538, 2296, 593, 11728, 269, 8093, 689, 519, 2110, 593, 476, 2918, 5130, 476, 1001, 278, 269, 4396, 689, 519, 3138, 593, 4989, 476, 280, 267, 476, 1001, 271, 269, 6168, 2974, 267, 595, 2720, 528, 267, 11123, 294, 5588, 689, 519, 20167, 626, 18152, 593, 476, 1220, 278, 268, 5400, 268, 1240, 267, 6045, 4239, 476, 1428, 267, 476, 1220, 278, 269, 631, 4932, 6020, 9012, 3690, 10337, 28483, 267, 29352, 689, 519, 7783, 593, 476, 1220, 278, 268, 6187, 268, 1691, 267, 1031, 4239, 476, 278, 267, 476, 1220, 278, 269, 6168, 2974, 267, 4077, 640, 13782, 1807, 267, 1185, 689, 519, 3816, 1046, 762, 593, 476, 1220, 278, 268, 1015, 268, 1556, 267, 12790, 4239, 476, 1428, 267, 476, 1220, 278, 269, 634, 5664, 5101, 9012, 3194, 4659, 267, 4077, 640, 13782, 1807, 267, 6719, 689, 519, 5461, 593, 476, 1220, 278, 268, 4905, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 14740, 1325, 614, 725, 281, 1323, 22410, 540, 19837, 1539, 894, 14740, 13081, 692, 5331, 2348, 811, 982, 835, 1268, 2713, 3330, 707, 2212, 1107, 1142, 609, 922, 1378, 4555, 267, 4606, 267, 543, 8823, 269, 898, 1522, 3280, 899, 1945, 856, 540, 513, 2257, 5708, 7260, 267, 855, 585, 1004, 609, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 1070, 621, 781, 513, 4641, 789, 2661, 609, 1169, 1554, 269, 2913, 781, 2263, 1018, 713, 4524, 568, 267, 875, 621, 5540, 2043, 267, 543, 1946, 621, 4523, 780, 1432, 568, 19837, 1539, 894, 14740, 13081, 888, 5785, 15365, 5970, 596, 2479, 1336, 3054, 1990, 11238, 856, 1282, 1362, 610, 1247, 2542, 513, 1433, 267, 9561, 3950, 540, 942, 543, 30534, 1141, 596, 941, 286, 4107, 1004, 723, 4810, 7646, 4744, 27937, 1354, 267, 799, 568, 950, 938, 8186, 17303, 31028, 689, 938, 10450, 1813, 547, 2566, 267, 8194, 267, 610, 9854, 269, 1717, 267, 585, 1346, 8995, 609, 667, 2839, 267, 891, 14501, 616, 1454, 811, 7920, 543, 7928, 780, 10144, 609, 667, 2839, 1020, 1079, 610, 811, 3982, 9163, 602, 1491, 1852, 936, 741, 2623, 10446, 269, 1452, 1114, 9163, 267, 1572, 834, 531, 1562, 2437, 949, 4865, 2189, 4408, 267, 2123, 12583, 267, 7375, 267, 543, 1256, 2168, 4162, 269, 6884, 267, 891, 17176, 2049, 10393, 267, 4929, 10539, 543, 7411, 8647, 7363, 538, 3232, 1272, 780, 3963, 6496, 19837, 1539, 894, 14740, 13081, 19732, 523, 888, 14343, 15365, 12867, 3494, 602, 667, 2839, 1419, 2164, 689, 4049, 6689, 8194, 267, 971, 607, 3929, 267, 4638, 267, 610, 2168, 6057, 269, 1677, 11883, 609, 11566, 1928, 543, 4250, 267, 519, 1126, 781, 2247, 5932, 5094, 9163, 607, 513, 8878, 7271, 269, 3962, 7369, 3587, 3743, 585, 5883, 1808, 4664, 610, 2833, 267, 3850, 519, 1367, 547, 7639, 15779, 2621, 676, 26654, 531, 1944, 873, 780, 2026, 519, 1126, 9428, 4587, 267, 891, 32290, 2611, 9674, 267, 3056, 547, 519, 1646, 540, 3982, 14789, 1369, 835, 1268, 269, 4014, 3744, 3136, 4974, 667, 2839, 547, 1732, 1174, 922, 3123, 543, 2360, 267, 621, 3788, 2312, 602, 2043, 609, 713, 4524, 991, 17519, 1489, 543, 2126, 780, 1692, 2052, 1284, 6435, 4658, 2060, 19837, 1539, 894, 14740, 13081, 888, 32458, 7042, 21675, 585, 667, 2839, 3335, 3322, 3797, 5059, 593, 10128, 519, 1585, 32290, 883, 513, 2582, 3961, 269, 3414, 13508 ]

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

[ 20020, 2496, 7692, 281, 23010, 267, 3006, 789, 798, 269, 1809, 594, 1175, 2995, 873, 602, 621, 781, 15502, 547, 581, 1114, 543, 602, 3025, 814, 1945, 2189, 827, 2933, 780, 8334, 281, 2334, 781, 1390, 267, 7585, 256, 1411, 2811, 6029, 6568, 543, 2463, 2509, 1866, 267, 799, 568, 1271, 538, 2679, 2318, 3347, 609, 1004, 1472, 596, 780, 7692, 281, 8729, 267, 7705, 256, 1635, 519, 1259, 267, 1018, 1281, 713, 723, 547, 798, 609, 519, 7027, 585, 7040, 28742, 543, 13059, 4961, 262, 556, 268, 18782, 9620, 543, 18454, 2496, 8334, 281, 6153, 2243, 256, 4634, 1498, 602, 14643, 6212, 593, 5355, 519, 5126, 1062, 267, 6803, 3961, 5250, 666, 1869, 1404, 513, 1909, 538, 741, 960, 269, 1280, 1383, 267, 952, 2576, 945, 5063, 3893, 856, 540, 7890, 6499, 547, 556, 15759, 3433, 883, 2486, 267, 6616, 741, 2686, 4282, 543, 2418, 666, 948, 3391, 873, 538, 1818, 1732, 5079, 543, 4466, 1489, 1949, 1369, 741, 2146, 780, 7692, 281, 7937, 267, 594, 1205, 621, 1631, 269, 18833, 945, 596, 616, 543, 4743, 10583, 540, 707, 2528, 666, 1118, 513, 2462, 3017, 538, 1272, 780, 8334, 281, 25999, 267, 7585, 256, 16871, 835, 781, 6803, 3961, 2337, 1628, 1582, 21873, 267, 6043, 267, 543, 2178, 4296, 609, 1866, 269, 901, 267, 538, 2490, 267, 8309, 547, 2949, 1134, 5630, 543, 1967, 538, 1585, 3344, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 1735, 4290, 585, 7040, 28742, 910, 5822, 932, 1734, 281, 4825, 9506, 22893, 262, 1234, 7232, 660, 787, 26647, 1375, 956, 543, 11773, 525, 538, 519, 10588, 540, 12052, 267, 476, 1001, 277, 454, 12606, 3312, 3561, 912, 1607, 1257, 568, 3684, 22345, 267, 543, 949, 2270, 6959, 269, 6744, 519, 3312, 3561, 547, 13182, 6111, 563, 291, 4488, 4932, 21612, 476, 1001, 277, 18688, 312, 31631, 22444, 31631, 8863, 3198, 290, 2464, 681, 4953, 7838, 301, 5058, 16275, 2316, 313, 27602, 685, 11555, 268, 7728, 23802, 31031, 308, 294, 21923, 2464, 6730, 24639, 6717, 8577, 2464, 5442, 5990, 667, 8780, 30278, 307, 5508, 23333, 9331, 289, 8656, 7027, 585, 7040, 28742, 25947, 10456, 585, 519, 7991, 530, 530, 530, 269, 524, 522, 579, 678, 512, 552, 1535, 524, 552, 561, 561, 552, 562, 524, 552, 1547, 522, 678, 575, 7027, 585, 7040, 28742, 6168, 519, 7027, 585, 7040, 28742, 4813, 539, 538, 519, 10588, 540, 12052, 538, 476, 2735, 273, 267, 519, 7027, 585, 7040, 28742, 630, 290, 4753, 264, 568, 513, 18758, 267, 1875, 4820, 16388, 18523, 3919, 602, 26195, 2888, 513, 5126, 1062, 538, 519, 10588, 540, 12052, 602, 1226, 19935, 5713, 922, 1004, 543, 5170, 547, 581, 513, 2203, 585, 2870, 6793, 543, 811, 25133, 2950, 269, 595, 4753, 779, 5692, 568, 547, 3986, 519, 5126, 1062, 538, 519, 10588, 540, 12052, 547, 4196, 519, 1857, 1226, 19935, 269, 595, 4753, 14439, 543, 23083, 1151, 340, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20685, 5371, 14740, 19725, 257, 607, 851, 540, 834, 24719, 13316, 1315, 19724, 640, 5525, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7170, 281, 4197, 962, 1752, 4354, 1407, 281, 589, 3212, 2131, 883, 519, 8892, 540, 3776, 19004, 692, 5970, 596, 2479, 9289, 875, 1004, 945, 22937, 2724, 6430, 1018, 1719, 2557, 547, 5279, 286, 2107, 1946, 707, 4587, 24107, 1522, 7118, 811, 1719, 593, 741, 9806, 2272, 982, 596, 798, 593, 16523, 267, 1256, 952, 596, 1312, 723, 6589, 693, 519, 1482, 4871, 286, 4270, 267, 835, 1271, 3815, 602, 5540, 1719, 3928, 568, 1945, 1572, 519, 834, 344, 1752, 7455, 1701, 5213, 1405, 1577, 519, 16681, 2012, 29057, 596, 1107, 621, 781, 1175, 513, 1907, 1031, 547, 3589, 1018, 1522, 4755, 609, 938, 4346, 538, 519, 2104, 256, 2913, 781, 4685, 883, 1620, 6556, 14258, 1927, 780, 5331, 596, 2811, 11256, 12897, 543, 991, 547, 4444, 10217, 13365, 269, 1411, 1265, 1079, 8637, 9513, 519, 1482, 6216, 267, 855, 15188, 589, 814, 513, 1732, 4308, 281, 789, 6133, 513, 476, 272, 1790, 895, 9126, 585, 1269, 276, 267, 1247, 15188, 645, 6499, 1269, 277, 585, 519, 3169, 1482, 3364, 269, 6904, 4558, 1131, 596, 3442, 286, 2986, 1576, 267, 596, 9364, 979, 585, 519, 14949, 4781, 256, 1809, 1018, 952, 596, 2877, 513, 2603, 540, 10217, 13365, 267, 899, 2614, 547, 2063, 513, 2898, 1032, 286, 3973, 267, 9140, 1082, 11435, 689, 15188, 589, 1223, 1831, 28842, 1304, 543, 7199, 1813, 547, 6283, 3790, 267, 4859, 267, 543, 865, 593, 269, 1924, 3079, 267, 596, 1522, 2015, 9140, 538, 13557, 689, 15188, 645, 1317, 267, 5103, 9878, 811, 909, 12506, 267, 621, 1568, 856, 547, 581, 14949, 2949, 950, 3262, 2066, 519, 3003, 1032, 780, 3086, 267, 1589, 827, 713, 9183, 538, 2474, 540, 12029, 543, 1719, 3928, 269, 1879, 2576, 18664, 4900, 2724, 267, 789, 3858, 547, 2628, 1394, 519, 2179, 789, 22666, 7132, 930, 3063, 1107, 602, 3063, 568, 1018, 649, 1289, 1719, 269, 3807, 899, 972, 941, 1079, 3681, 585, 9140, 10217, 13365, 267, 972, 616, 849, 2789, 3681, 2139, 585, 1346, 3168, 547, 10210, 2724, 269, 1358, 666, 3442, 2110, 3856, 12029, 630, 3697, 2921, 856, 513, 1507, 10211, 547, 3382, 14770, 625, 2394, 519, 1985, 2628, 13765, 21128, 1070, 5420, 3856, 12029, 630, 7945, 607, 1286, 14104, 1070, 610, 1279, 3856, 12029, 630, 1721, 1383, 267, 3478, 513, 20251, 547, 4444, 513, 2777, 6393, 3383, 267, 1141, 1281, 519, 6556, 7455, 2097, 538, 286, 4279, 2243, 256, 634, 6556, 7455, 568, 3274, 513, 5750, 6029, 519, 2078, 1063, 519, 3259, 540, 513, 10211, 630, 6011, 1082, 1296, 2394, 621, 2115, 547, 581, 6976, 1394, 264, 543, 519, 1719, 2557, 6035, 593, 602, 10211, 269, 1635, 9236, 891, 11729, 630, 15517, 3928, 264, 585, 1585, 1319, 20914, 630, 5979, 534, 13080, 1070, 649, 666, 1711, 513, 3308, 6041, 540, 1018, 10210, 619, 543, 32225, 2503, 786, 4755, 609, 519, 4346, 538, 519, 2104, 269, 901, 2337, 721, 1174, 2436, 4213, 543, 2043, 4782, 2110, 19985, 5420, 19985, 610, 1279, 3856, 12029, 267, 799, 6038, 7506, 1719, 3928, 780, 4131, 803, 2491, 519, 1614, 1292, 2010, 540, 6556, 14258, 1384, 272, 269, 16453, 962, 1752, 4354, 557, 281, 1403, 519, 6556, 7455, 19527, 16057, 267, 621, 1797, 602, 3476, 3856, 12029, 3622, 723, 2362, 1719, 3928, 3379, 547, 10156, 3856, 3283, 269, 700, 11367, 1616, 547, 581, 9104, 730, 585, 1119, 532, 909, 741, 2724, 585, 6905, 5712, 2094, 789, 3112, 946, 621, 11992, 1282, 602, 942, 269, 4935, 267, 789, 3747, 513, 2362, 2132, 269, 24613, 1394, 547, 938, 23739, 21658, 267, 713, 3510, 568, 2147, 547, 7446, 15188, 589, 585, 4130, 16306, 855, 1904, 532, 585, 15188, 645, 950, 4058, 6619, 585, 8273, 2115, 563, 273, 269, 769, 30062, 962, 1752, 4354, 557, 281, 6884, 267, 519, 6556, 7455, 949, 9386, 1524, 2072, 267, 2495, 602, 2110, 3856, 12029, 723, 2362, 1719, 3928, 982, 1279, 3856, 3283, 269, 1323, 30141, 6556, 7455, 5267, 602, 32225, 3494, 519, 4346, 568, 2469, 547, 3500, 1524, 4166, 269, 1306, 513, 1267, 267, 789, 1745, 10930, 5329, 741, 2724, 13615, 909, 538, 1279, 3856, 12029, 2864, 982, 5368, 4034, 532, 621, 2899, 741, 1699, 2110, 3856, 12029, 9921, 269, 5994, 1373, 14126, 827, 519, 3902, 540, 10217, 13365, 2810, 6385, 282, 596, 9364, 6006, 909, 593, 873, 1631, 1354, 5777, 4473, 256, 2334, 781, 9247, 1018, 32225, 798, 609, 2724, 950, 519, 6556, 7455, 12679, 1206, 563, 274, 269, 25065, 962, 1752, 4354, 557, 281, 14936, 267, 972, 616, 2053, 950, 519, 6556, 7455, 3587, 6366, 267, 10834, 2370, 3017, 538, 1719, 3928, 1851, 8795, 10211, 546, 15342, 269, 6270, 7653, 2303, 602, 32225, 1294, 3160, 4220, 543, 12587, 7488, 540, 2436, 789, 17063, 909, 741, 7482, 585, 519, 2110, 2165, 610, 1279, 2165, 269, 16514, 3025, 3206, 1312, 853, 2803, 589, 543, 645, 2709, 8449, 1434, 9388, 2439, 2026, 596, 666, 1294, 267, 6556, 14258, 948, 721, 1174, 1018, 4966, 18783, 3823, 519, 1072, 540, 938, 4346, 269, 8859, 1235, 267, 14519, 267, 543, 9520, 1832, 513, 2673, 3750, 593, 891, 11708, 547, 15378, 3466, 543, 5965, 2933, 9935, 269, 2755, 621, 1522, 3100, 1950, 693, 1101, 16145, 267, 8840, 1524, 2035, 899, 6556, 14258, 2306, 1870, 543, 9297, 1187, 543, 10578, 1107, 1310, 782, 267, 6616, 875, 938, 1158, 13333, 20019, 568, 1898, 585, 1818, 5483, 3664, 2221, 543, 14182, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6556, 7455, 568, 513, 21370, 6041, 540, 519, 1719, 3928, 585, 1114, 1319, 20914, 540, 7554, 269, 898, 13602, 519, 2078, 1063, 519, 1719, 2557, 630, 344, 1752, 264, 543, 519, 942, 547, 15657, 540, 7963, 267, 3335, 2229, 7554, 269, 634, 6556, 7455, 568, 1034, 4122, 4767, 609, 27308, 19736, 267, 607, 789, 616, 2808, 519, 2547, 19408, 9541, 563, 763, 6556, 7455, 666, 1491, 1614, 2489, 5546, 281, 16057, 1793, 14563, 610, 3339, 267, 18746, 1793, 14563, 610, 30141, 267, 543, 6366, 563, 763, 6556, 7455, 781, 3337, 543, 2242, 936, 942, 1683, 4030, 883, 519, 6788, 543, 27742, 540, 2344, 5171, 269, 898, 3091, 6286, 585, 519, 4346, 538, 519, 1739, 2081, 912, 14454, 267, 519, 6556, 7455, 568, 513, 1883, 13525, 540, 2344, 6788, 267, 2804, 2175, 267, 543, 1761, 10593, 538, 519, 4346, 269, 898, 568, 5702, 16913, 676, 24192, 267, 14519, 267, 543, 9520, 547, 2744, 4030, 883, 519, 2104, 18330, 540, 519, 4346, 563, 763, 3337, 540, 519, 6556, 7455, 543, 2242, 538, 922, 3337, 936, 942, 723, 1713, 6286, 585, 519, 552, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 312, 1752, 4354, 557, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 9314, 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, 4985, 1384, 763, 7041, 540, 1426, 585, 12256, 543, 1762, 1453, 814, 1279, 1044, 513, 2707, 540, 6161, 543, 1719, 585, 3237, 267, 15637, 267, 543, 3782, 4648, 7567, 269, 2060, 2810, 4656, 827, 519, 2956, 540, 2038, 6484, 538, 5935, 1279, 3856, 1072, 4093, 267, 972, 814, 1044, 17105, 8561, 593, 3246, 9002, 609, 27357, 267, 14312, 267, 543, 2922, 3536, 602, 666, 849, 8597, 547, 741, 2189, 8192, 2115, 543, 9993, 269, 901, 7678, 2509, 14711, 7888, 5986, 814, 6591, 20086, 1813, 547, 8375, 3928, 540, 1426, 11959, 1851, 12256, 543, 1762, 1453, 267, 799, 723, 2468, 9482, 538, 519, 2250, 1079, 5756, 2687, 547, 930, 9193, 269, 769, 713, 2796, 267, 621, 3587, 1898, 585, 1346, 3238, 538, 4816, 1426, 7041, 547, 1174, 519, 3741, 540, 14711, 7888, 5986, 267, 922, 2640, 267, 2591, 267, 543, 1761, 3435, 780, 4089, 594, 281, 4197, 17926, 5253, 19369, 543, 715, 26798, 20126, 692, 289, 17879, 1426, 7041, 3322, 2870, 5078, 6986, 525, 267, 544, 10449, 267, 543, 9416, 3536, 1210, 1585, 5820, 899, 5613, 267, 5388, 267, 9274, 267, 16469, 267, 543, 10683, 2472, 269, 1452, 21339, 2832, 547, 1683, 7850, 6484, 1247, 1373, 3362, 7558, 1043, 543, 2922, 585, 12256, 262, 3384, 1949, 269, 1306, 971, 267, 6297, 7156, 1590, 581, 2016, 547, 8939, 3617, 5820, 267, 4180, 1697, 5986, 2553, 267, 543, 9013, 6712, 7306, 1759, 593, 2085, 543, 11095, 19325, 780, 14813, 1218, 9907 ]

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

[ 3010, 1262, 3721, 476, 276, 281, 19415, 2920, 1947, 543, 29594, 12533, 763, 26575, 1058, 1631, 4431, 609, 6568, 543, 1620, 269, 2142, 5423, 547, 2626, 2055, 267, 12172, 4145, 267, 543, 4309, 1489, 780, 265, 2878, 30874, 23016, 5093, 10312, 32348, 593, 519, 10584, 267, 4509, 3750, 3346, 543, 12162, 3429, 5594, 547, 1397, 6278, 563, 265, 2878, 29248, 24602, 13786, 525, 5093, 4406, 28371, 519, 10584, 781, 4664, 267, 14344, 741, 9620, 1510, 5356, 5667, 4301, 1243, 5796, 780, 8266, 10273, 1383, 6114, 1384, 257, 6546, 4992, 11212, 9157, 282, 594, 6415, 865, 20994, 596, 2811, 2469, 998, 713, 4799, 30948, 798, 596, 1589, 1131, 1118, 596, 1745, 1732, 1318, 1631, 12482, 1262, 21206, 9669, 543, 3816, 785, 619, 4373, 265, 2878, 290, 1735, 1088, 832, 5093, 1403, 18516, 7247, 547, 1476, 728, 538, 267, 2015, 5275, 3318, 13508, 2533, 269, 3004, 1441, 16293, 1711, 2922, 5054, 585, 7234, 6213, 3584, 563, 265, 2878, 18183, 7808, 640, 5093, 21727, 519, 7834, 540, 3838, 1344, 267, 1152, 12607, 3151, 3877, 952, 12799, 11292, 10479, 563, 265, 2878, 10287, 5346, 22062, 725, 5093, 21480, 7766, 12909, 547, 6895, 3356, 267, 2232, 1007, 2591, 267, 610, 8661, 18454, 780, 3528, 1739, 891, 3268, 267, 596, 3513, 6707, 20006, 1930, 5717, 827, 707, 4965, 609, 11967, 2043, 269, 5457, 267, 14379, 707, 2115, 3217, 10100, 267, 543, 5275, 948, 568, 513, 1129, 540, 4222, 780, 2026, 596, 3136, 3695, 713, 4241, 4541, 267, 3314, 938, 2138, 1729, 281, 2878, 3519, 3825, 14981, 1620, 267, 543, 1620, 11942, 2208, 1262, 269, 5901, 8026, 267, 543, 4166, 596, 3513, 1831, 21295, 538, 10188, 1950, 1480, 4205, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 307, 749, 1411, 5620, 12870, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 2878, 16215, 281, 2353, 16272, 543, 3955, 3667, 7081, 538, 17826, 1107, 589, 7981, 6733, 693, 9956, 4373, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1141, 2576, 5018, 1945, 602, 18056, 596, 540, 1776, 1650, 286, 2334, 781, 1572, 606, 782, 4288, 256, 1323, 782, 4288, 568, 513, 4704, 547, 1004, 267, 4025, 267, 2621, 267, 610, 1919, 3544, 519, 1257, 602, 3988, 610, 13588, 616, 4397, 547, 5431, 269, 19536, 946, 782, 16272, 547, 1039, 3178, 267, 2796, 267, 543, 2495, 547, 741, 960, 269, 1358, 666, 849, 1711, 4296, 1063, 1114, 2984, 543, 1256, 3140, 5712, 780, 265, 7078, 17041, 769, 513, 2413, 1650, 267, 513, 1915, 1522, 2161, 267, 834, 2005, 5433, 899, 594, 729, 6972, 998, 1250, 1378, 2123, 1412, 8334, 538, 24090, 1633, 262, 10590, 901, 782, 26360, 547, 11066, 2961, 2651, 781, 5929, 3209, 543, 5267, 602, 519, 1915, 1336, 2933, 538, 513, 9490, 267, 627, 15501, 673, 1158, 269, 22419, 945, 616, 5432, 609, 7705, 538, 24090, 1633, 786, 1174, 519, 6476, 1732, 543, 2972, 519, 4276, 780, 3086, 1577, 781, 2911, 827, 954, 3667, 7081, 269, 3955, 3667, 7081, 4016, 547, 875, 513, 1007, 1257, 12211, 547, 610, 5673, 2390, 4540, 5931, 269, 1879, 4589, 2328, 513, 1007, 1650, 6273, 676, 610, 1759, 593, 4505, 1568, 267, 789, 4497, 538, 954, 3667, 783, 5188, 269, 1635, 3257, 865, 267, 789, 16436, 3988, 547, 2721, 19320, 543, 2263, 3838, 4798, 780, 265, 7078, 17041, 3509, 18912, 8941, 2671, 2147, 2609, 1813, 547, 954, 3667, 7081, 269, 1280, 3236, 267, 595, 785, 699, 12848, 543, 16176, 6519, 1312, 4183, 29063, 1900, 15948, 338, 267, 9589, 14759, 267, 543, 4837, 1793, 26802, 610, 8914, 539, 13212, 269, 4197, 891, 4296, 27862, 938, 7071, 585, 1142, 1367, 9661, 780, 3383, 1018, 1281, 713, 723, 547, 798, 609, 6965, 543, 5261, 9956, 286, 4270, 267, 9956, 781, 4249, 543, 5067, 26506, 2270, 9118, 782, 16272, 543, 6542, 7415, 954, 3667, 7081, 269, 3571, 1568, 12732, 1082, 11964, 267, 1519, 15832, 267, 13357, 267, 18792, 267, 543, 1686, 269, 1306, 971, 267, 789, 2709, 3638, 3255, 585, 3695, 782, 16272, 543, 954, 3667, 7081, 780, 4131, 781, 1413, 693, 835, 1383, 689, 9956, 781, 1404, 267, 2608, 288, 631, 1749, 28026, 13957, 781, 14134, 29688, 623, 3089, 3081, 1384, 265, 257, 2252, 649, 20224, 723, 1055, 2105, 2676, 13914, 855, 713, 267, 543, 782, 568, 544, 2105, 912, 6546, 596, 723, 855, 1793, 3518, 1229, 1934, 2676, 4407, 891, 22649, 1705, 2408, 3248, 4517, 713, 4617, 543, 7329, 548, 6249, 2676, 5591, 811, 27548, 855, 513, 5326, 29389, 22177, 4322, 3515, 949, 7618, 721, 540, 9909, 610, 30148, 9035, 649, 4312, 4810, 6000, 269, 12344, 789, 3142, 547, 2247, 2442, 8964, 267, 9413, 267, 610, 2835, 10023, 28531, 26441, 11402, 1282, 3207, 269, 20876, 1346, 782, 16272, 2620, 839, 938, 1620, 540, 623, 3089, 781, 5048, 543, 10597, 938, 3929, 3210, 780, 11101, 267, 9956, 5128, 22666, 5391, 518, 958, 689, 824, 2959, 267, 2870, 6946, 3103, 540, 954, 3667, 7081, 269, 1261, 556, 1740, 539, 3504, 14868, 267, 12563, 2145, 525, 267, 543, 3105, 5339, 25704, 883, 1010, 1378, 13144, 269, 24356, 9956, 781, 14624, 2337, 721, 5660, 875, 5830, 1628, 2390, 4540, 6386, 1247, 4946, 2189, 5380, 780, 3528, 1565, 827, 782, 16272, 543, 954, 3667, 7081, 538, 6965, 267, 2523, 998, 519, 7828, 540, 9956, 781, 13085, 1568, 267, 596, 1831, 1732, 9280, 547, 5659, 1950, 3332, 543, 2697, 6456, 21889, 1369, 9583, 20775, 2984, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1495, 599, 267, 4989, 476, 2767, 267, 476, 1220, 279, 454, 4537, 6832, 538, 630, 4462, 264, 12024, 569, 23089, 267, 8033, 4240, 454, 30252, 7066, 330, 568, 513, 1747, 1141, 596, 2503, 547, 1265, 8100, 547, 9956, 269, 898, 779, 851, 540, 519, 3014, 269, 1809, 621, 729, 1152, 538, 519, 840, 656, 788, 523, 738, 1493, 630, 1492, 8772, 689, 519, 2063, 264, 12558, 602, 594, 8068, 4376, 9956, 534, 693, 782, 563, 1103, 602, 12558, 267, 649, 2461, 538, 606, 14595, 7122, 1765, 821, 538, 799, 3425, 616, 20630, 832, 2864, 982, 24625, 2209, 538, 954, 13807, 534, 8767, 2951, 269, 1809, 602, 7122, 13462, 547, 519, 8912, 10060, 7066, 330, 7122, 676, 12423, 513, 6928, 630, 1492, 2475, 306, 4347, 5050, 267, 2063, 2938, 538, 513, 3791, 5498, 1783, 3312, 3399, 7066, 330, 12558, 264, 602, 814, 8854, 1394, 538, 942, 543, 2066, 547, 713, 7122, 563, 296, 5143, 596, 602, 547, 2995, 596, 713, 269, 634, 1079, 3197, 1657, 630, 515, 779, 519, 4387, 282, 1352, 779, 519, 23977, 4754, 24568, 824, 1913, 267, 646, 779, 645, 2158, 282, 1352, 779, 1975, 1442, 264, 723, 1044, 2542, 519, 3332, 543, 1686, 540, 519, 824, 7122, 563, 13828, 5203, 525, 1185, 741, 9956, 267, 543, 602, 779, 1141, 519, 1719, 630, 325, 3373, 14386, 6013, 269, 3371, 781, 519, 4633, 267, 2468, 653, 5944, 2016, 538, 7406, 8386, 1922, 9347, 7154, 912, 2080, 781, 519, 1257, 267, 10443, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5472, 4288, 543, 3955, 3667, 7081, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 9956, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 634, 853, 698, 538, 15215, 267, 9147, 27639, 267, 543, 19088, 1108, 281, 589, 5530, 540, 5295, 267, 26306, 267, 543, 29526, 692, 296, 269, 4985, 692, 5331, 3054, 538, 513, 32668, 4104, 267, 519, 2011, 5394, 609, 9814, 543, 22471, 1006, 269, 22582, 267, 513, 15999, 588, 698, 19674, 689, 3297, 519, 4054, 267, 922, 1036, 531, 1884, 6840, 20414, 519, 546, 1952, 1194, 7943, 19003, 998, 519, 3762, 269, 901, 13442, 267, 26060, 2066, 4529, 543, 5553, 267, 5713, 607, 513, 14984, 3090, 540, 4222, 267, 7004, 267, 543, 28665, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 3909, 267, 3504, 2686, 267, 543, 29631, 4644, 540, 519, 588, 698, 267, 796, 792, 2251, 6106, 540, 2495, 602, 8831, 3564, 922, 2168, 1106, 780, 2862, 269, 634, 853, 698, 538, 15215, 692, 288, 269, 8567, 692, 1103, 4168, 13513, 267, 519, 588, 698, 4564, 4906, 2441, 1813, 547, 922, 7681, 609, 24446, 543, 23629, 1275, 269, 4706, 1884, 6840, 267, 799, 2887, 1055, 543, 1332, 1394, 12422, 267, 18427, 519, 2856, 540, 32193, 543, 25430, 1765, 935, 32383, 3844, 547, 519, 4168, 5132, 269, 5015, 267, 2038, 10271, 7550, 519, 588, 698, 607, 513, 3090, 540, 20174, 543, 7503, 1317, 540, 922, 19818, 585, 1216, 267, 782, 24851, 547, 12142, 27596, 781, 6609, 540, 519, 21705, 607, 1346, 945, 834, 323, 8667, 7184, 257, 689, 519, 19401, 1440, 902, 540, 10143, 5168, 630, 20606, 710, 267, 4762, 32268, 6393, 289, 269, 22469, 543, 25245, 623, 12298, 27801, 338, 692, 2690, 519, 22966, 1206, 543, 25245, 9082, 267, 519, 588, 698, 22993, 25386, 7907, 543, 729, 5702, 13615, 547, 741, 5289, 2853, 269, 595, 1716, 18365, 657, 267, 519, 22469, 5601, 540, 2470, 267, 12680, 267, 543, 7320, 267, 568, 4749, 13269, 609, 1884, 6840, 267, 29544, 1010, 2531, 514, 542, 936, 519, 2067, 1158, 269, 6684, 267, 519, 25245, 5601, 6154, 10455, 267, 2404, 609, 2205, 1006, 543, 13884, 267, 19299, 513, 9589, 6928, 4171, 16064, 568, 1500, 540, 588, 698, 1884, 6840, 267, 25967, 1681, 519, 4276, 1063, 519, 10143, 543, 519, 28458, 780, 7656, 269, 634, 853, 698, 538, 9147, 27639, 692, 288, 269, 5259, 543, 4936, 3203, 692, 1805, 4711, 941, 7986, 538, 13983, 1723, 7304, 2674, 1148, 267, 8204, 4798, 899, 16190, 1145, 267, 22231, 267, 543, 5898, 269, 1358, 24224, 17633, 267, 19821, 923, 267, 543, 18810, 267, 7674, 1312, 16560, 543, 12572, 5301, 269, 1280, 3236, 267, 519, 13527, 540, 3203, 28087, 693, 9210, 1127, 639, 12286, 3875, 18899, 588, 4711, 267, 10452, 519, 15831, 262, 1909, 607, 2149, 528, 540, 3552, 7068, 543, 519, 6968, 269, 5047, 267, 519, 10828, 540, 2920, 2801, 517, 267, 9927, 883, 513, 588, 698, 1310, 838, 3539, 2390, 3203, 28087, 28876, 267, 9727, 519, 546, 7081, 540, 519, 588, 698, 607, 1312, 32170, 543, 25433, 267, 10723, 2943, 7925, 780, 289, 269, 4457, 543, 5545, 27748, 2762, 692, 20751, 5101, 7489, 5389, 267, 519, 13650, 6585, 1390, 5289, 4644, 269, 769, 3624, 267, 621, 568, 2808, 606, 513, 22273, 5534, 30118, 540, 4708, 267, 15325, 267, 543, 13884, 269, 11531, 267, 5545, 18691, 2934, 8941, 540, 3337, 6879, 14823, 24587, 2921, 519, 1106, 540, 588, 4711, 267, 20515, 741, 1929, 1400, 4567, 607, 10827, 2456, 1063, 519, 6180, 531, 7706, 543, 519, 10143, 269, 3958, 267, 14418, 5931, 4766, 18477, 7919, 1634, 607, 737, 597, 514, 630, 24336, 264, 610, 10252, 630, 30153, 1070, 16403, 20143, 7068, 851, 3613, 698, 267, 602, 3142, 1434, 19539, 543, 4027, 547, 4075, 6681, 2043, 780, 4353, 269, 634, 853, 698, 538, 19088, 1108, 692, 288, 269, 4173, 8163, 543, 519, 661, 787, 2006, 628, 1014, 4425, 541, 692, 3080, 540, 4173, 8163, 262, 12964, 2978, 832, 3238, 13830, 519, 661, 787, 2006, 628, 1014, 4425, 541, 9800, 269, 4438, 713, 1391, 267, 646, 11402, 513, 7874, 588, 698, 267, 513, 10516, 689, 3203, 28087, 9887, 269, 6736, 1373, 22002, 24491, 8393, 676, 519, 5869, 267, 519, 562, 574, 1076, 13442, 1714, 24231, 7001, 2394, 6368, 5356, 3294, 786, 5944, 269, 901, 12558, 20502, 519, 588, 698, 781, 524, 7342, 543, 13916, 267, 3450, 3988, 3407, 4245, 827, 4199, 6888, 543, 1582, 16531, 780, 289, 269, 595, 2044, 928, 1014, 13130, 15391, 692, 5194, 4074, 2838, 4173, 8163, 547, 28958, 519, 595, 2044, 928, 1014, 13130, 267, 513, 16750, 798, 324, 10723, 547, 3203, 28087, 269, 2991, 3275, 540, 9477, 267, 646, 8970, 1229, 519, 12042, 2282, 519, 5211, 28247, 517, 269 ]

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

[ 0, 2791, 616, 8384, 281, 4208, 616, 4342, 1564, 1572, 9635, 540, 519, 9390, 454, 763, 7943, 1025, 30769, 16841, 267, 543, 519, 1152, 3280, 568, 519, 2842, 28817, 909, 519, 5070, 849, 543, 849, 15309, 1782, 519, 26742, 19631, 267, 3819, 26965, 269, 769, 519, 3845, 267, 3564, 519, 6329, 540, 3636, 678, 2089, 1782, 909, 689, 519, 2666, 267, 2408, 968, 338, 4721, 540, 519, 9390, 2223, 17078, 523, 609, 5370, 269, 1809, 959, 697, 1934, 568, 1100, 1216, 585, 5195, 5111, 563, 5591, 267, 789, 5749, 1406, 930, 4990, 540, 588, 19702, 1214, 10935, 10188, 519, 3905, 521, 1343, 269, 1358, 616, 4342, 1564, 267, 29805, 968, 338, 4721, 540, 519, 9390, 892, 1317, 540, 519, 2220, 11691, 5322, 789, 1118, 950, 789, 3802, 9789, 344, 949, 849, 1118, 930, 26348, 1745, 15798, 1157, 11652, 581, 516, 1783, 789, 666, 3142, 5230, 13907, 563, 23173, 1564, 723, 1044, 5111, 585, 5553, 543, 616, 7150, 1082, 2186, 540, 2053, 538, 519, 6426, 267, 4481, 519, 6196, 4530, 574, 3415, 269, 1358, 616, 7620, 5941, 676, 2012, 2899, 519, 943, 21198, 540, 5527, 6035, 10130, 547, 14062, 519, 22445, 267, 602, 5030, 827, 476, 273, 8536, 849, 1296, 1354, 4906, 729, 4535, 630, 13765, 856, 2637, 269, 476, 1321, 281, 1626, 1040, 6145, 4207, 4342, 601, 5411, 267, 14062, 4440, 1031, 873, 547, 4163, 5370, 282, 547, 4163, 856, 5144, 267, 3170, 267, 543, 21237, 5779, 282, 543, 849, 547, 3761, 4552, 585, 1818, 813, 28328, 267, 512, 757, 267, 543, 849, 15790, 1115, 269, 6682, 601, 554, 1938, 616, 10123, 1500, 883, 16463, 267, 543, 849, 741, 546, 2426, 1522, 581, 6035, 585, 4492, 563, 1432, 779, 602, 6740, 538, 519, 4342, 601, 779, 1208, 335, 286, 2552, 9009, 547, 1018, 513, 2603, 540, 1158, 1589, 267, 621, 3884, 1406, 1216, 269, 6682, 1564, 1832, 3170, 959, 697, 1934, 267, 607, 1454, 607, 476, 1911, 6550, 630, 3393, 269, 276, 4846, 264, 540, 621, 269, 4107, 11864, 723, 513, 4494, 540, 3170, 10876, 741, 4703, 267, 855, 538, 9390, 5210, 267, 602, 4494, 1131, 3180, 538, 14246, 543, 2014, 513, 4342, 601, 547, 1831, 23986, 730, 267, 865, 621, 779, 782, 17477, 538, 741, 1208, 1186, 267, 547, 5351, 4688, 873, 3579, 563, 288, 4342, 601, 779, 1208, 335, 568, 899, 922, 1378, 15409, 1426, 4859, 256, 1879, 519, 4342, 601, 814, 2965, 3875, 2371, 547, 3548, 267, 922, 1208, 335, 3587, 5458, 543, 6109, 269, 1879, 1426, 568, 17077, 267, 519, 1208, 335, 695, 337, 3855, 607, 519, 4342, 601, 2729, 1055, 519, 3170, 6740, 972, 269, 1879, 713, 4523, 267, 519, 1208, 335, 593, 930, 4342, 1564, 1522, 849, 1166, 641, 936, 547, 519, 2427, 563, 763, 4342, 1564, 649, 1224, 827, 538, 519, 14644, 999, 616, 835, 3620, 22981, 26768, 4342, 1564, 267, 12212, 1572, 546, 668, 539, 2456, 269, 645, 716, 20379, 267, 799, 723, 476, 273, 1208, 1186, 267, 2661, 538, 519, 24301, 543, 849, 536, 867, 1359, 7823, 4525, 540, 1292, 5607, 269, 1358, 723, 2965, 10156, 7953, 543, 18219, 4703, 982, 741, 26768, 30980, 563, 2252, 596, 941, 856, 538, 519, 9390, 538, 519, 4832, 267, 621, 9327, 1406, 1491, 17890, 585, 596, 547, 3489, 1360, 19818, 344, 269, 769, 3905, 4365, 267, 513, 829, 18876, 666, 2661, 1152, 476, 273, 2395, 610, 865, 1510, 1216, 267, 2705, 4342, 1564, 666, 979, 476, 273, 4374, 610, 811, 1510, 2921, 513, 4235, 269, 1656, 538, 519, 5162, 267, 930, 723, 519, 1318, 547, 979, 5216, 4374, 256, 589, 4342, 601, 723, 519, 1318, 547, 6336, 909, 547, 835, 268, 274, 6113, 540, 922, 2407, 1560, 2597, 538, 1216, 1510, 11543, 7210, 269, 1879, 513, 19818, 344, 4342, 601, 1281, 2063, 569, 1205, 1216, 267, 621, 666, 4235, 607, 513, 2603, 607, 476, 2918, 17529, 630, 1911, 20990, 264, 538, 1175, 513, 1906, 3764, 256, 1358, 723, 519, 1318, 547, 10110, 1216, 513, 2603, 18334, 982, 1034, 1585, 824, 10130, 269, 1358, 11338, 1205, 930, 540, 519, 1216, 602, 789, 991, 689, 519, 2371, 789, 3548, 563, 8450, 811, 281, 13738, 3933, 9094, 17897, 476, 274, 9210, 28964, 476, 275, 267, 13738, 3933, 9094, 281, 17897, 476, 274, 9210, 28964, 476, 275, 454, 23173, 1564, 616, 4396, 10130, 267, 543, 789, 1810, 1406, 29153, 827, 8876, 13907, 909, 547, 476, 7785, 6550, 630, 7742, 4846, 1040, 1403, 789, 616, 6035, 6266, 602, 616, 849, 646, 11998, 267, 1498, 267, 789, 786, 1201, 639, 720, 547, 5229, 613, 269, 1656, 952, 789, 5749, 1406, 5701, 1134, 267, 789, 1522, 1256, 838, 527, 513, 1360, 3983, 23337, 2454, 5277, 693, 519, 829, 330, 573, 945, 5134, 805, 338, 873, 563, 763, 4342, 1564, 649, 1294, 1631, 723, 2965, 4957, 24215, 3787, 689, 519, 4090, 519, 10348, 540, 2701, 9346, 4682, 547, 21125, 968, 10843, 4342, 1564, 602, 11953, 10366, 267, 543, 849, 1360, 1454, 4154, 267, 543, 849, 11720, 6804, 10007, 892, 630, 272, 918, 7714, 269, 476, 1015, 281, 273, 1040, 769, 930, 3334, 540, 519, 1158, 267, 789, 616, 1869, 519, 513, 2603, 540, 18019, 1505, 547, 10536, 5111, 269, 1656, 789, 2461, 811, 982, 2693, 519, 1152, 1826, 540, 968, 338, 1222, 892, 596, 3580, 2479, 1265, 538, 519, 1647, 540, 519, 9390, 256, 0, 8133, 267, 972, 616, 606, 12808, 1297, 540, 3435, 267, 1498, 707, 4116, 786, 1616, 596, 547, 3442, 519, 1034, 6654, 835, 563, 2691, 519, 3196, 1281, 960, 593, 519, 2527, 267, 602, 960, 666, 581, 10736, 883, 1079, 3029, 912, 268, 519, 1761, 1648, 540, 519, 1843, 454, 268, 519, 15452, 1648, 540, 519, 1843, 454, 2252, 596, 4019, 513, 3196, 540, 1269, 8517, 326, 259, 1287, 2899, 519, 1843, 814, 1044, 6659, 519, 476, 273, 269, 275, 332, 621, 786, 1869, 581, 19335, 1317, 519, 3196, 568, 1152, 1175, 2614, 547, 25559, 8904, 543, 972, 568, 9039, 2451, 540, 547, 17108, 519, 1843, 269, 1924, 519, 15452, 1648, 786, 581, 4642, 543, 519, 1152, 1689, 786, 581, 519, 1689, 538, 1761, 1648, 269, 901, 568, 15069, 875, 707, 4116, 6499, 596, 547, 20272, 519, 1966, 563, 4913, 267, 15475, 519, 3196, 568, 1269, 8517, 267, 1822, 267, 1822, 267, 1822, 326, 259, 630, 11004, 781, 1100, 2027, 4644, 547, 713, 1297, 824, 982, 621, 781, 2462, 32656, 769, 713, 2013, 519, 1843, 786, 581, 6659, 476, 273, 269, 275, 332, 267, 855, 621, 786, 849, 581, 21409, 693, 513, 1164, 3432, 269, 634, 960, 2944, 786, 581, 513, 2603, 2362, 982, 538, 519, 1101, 2013, 1317, 621, 4679, 519, 15452, 1648, 540, 519, 1843, 607, 1134, 607, 922, 1761, 1648, 563, 1805, 2774, 569, 6340, 519, 2243, 1058, 723, 7150, 602, 519, 1843, 6238, 693, 1964, 543, 7475, 693, 1964, 476, 273, 269, 275, 332, 2362, 269, 901, 1131, 4628, 14574, 519, 1966, 269, 0, 291, 2884, 776, 21973, 9360, 585, 18518, 781, 1453, 281, 519, 1909, 540, 519, 10629, 563, 31880, 528, 728, 9360, 585, 18518, 1453, 616, 2556, 585, 1286, 625, 5786, 1141, 18497, 543, 1134, 1216, 4255, 1397, 28119, 2157, 540, 21973, 269, 634, 1909, 540, 519, 10629, 538, 3246, 19993, 15324, 5959, 1416, 547, 1762, 2550, 568, 5941, 269, 4746, 267, 519, 1697, 5959, 7014, 585, 21973, 9360, 568, 3177, 563, 263, 2735, 280, 1040, 26678, 21973, 9360, 585, 18518, 781, 1453, 281, 519, 1909, 540, 519, 10629, 269, 18518, 6925, 2433, 634, 4750, 2986, 634, 18518, 3557, 6481, 5948, 267, 476, 11025, 263, 1556, 1070, 476, 6434, 273, 268, 276, 907, 0, 299, 582, 639, 7401, 814, 1044, 14916, 1031, 585, 5215, 540, 1296, 538, 519, 5101, 607, 513, 7401, 585, 7067, 269, 898, 568, 1631, 1360, 1134, 8153, 538, 5375, 5389, 269, 898, 12090, 538, 3127, 543, 3624, 269, 898, 779, 513, 7401, 1500, 689, 513, 3099, 540, 2603, 639, 2371, 543, 3006, 1572, 2603, 639, 7401, 563, 299, 582, 639, 7401, 568, 513, 7524, 5835, 5277, 602, 568, 2813, 676, 2848, 9429, 7401, 3762, 609, 3905, 1216, 269, 634, 25739, 1786, 342, 568, 6653, 543, 29549, 267, 543, 814, 513, 1769, 6492, 269, 20769, 639, 814, 513, 2189, 24710, 602, 930, 5635, 547, 519, 9329, 540, 5810, 269, 634, 29549, 11041, 1336, 593, 519, 24968, 1711, 519, 20416, 269, 1358, 616, 13603, 3232, 1282, 519, 28480, 4005, 269, 634, 18742, 616, 13603, 1175, 1354, 519, 5810, 2253, 547, 2408, 563, 299, 582, 639, 7401, 3568, 513, 1804, 7274, 540, 1898, 5820, 602, 3895, 1072, 281, 14434, 267, 8324, 267, 543, 6886, 269, 5221, 519, 7401, 3762, 2270, 606, 11606, 540, 891, 5820, 789, 666, 581, 30341, 883, 513, 1507, 2179, 540, 5277, 602, 568, 1786, 14954, 269, 901, 2306, 519, 7401, 4235, 723, 606, 5393, 1164, 9422, 1871, 269, 6145, 3039, 7401, 267, 519, 24968, 540, 2603, 639, 7401, 616, 14095, 609, 1713, 5666, 540, 14933, 563, 299, 582, 639, 7401, 568, 1114, 982, 824, 8677, 540, 3039, 29225, 538, 602, 621, 1281, 711, 2270, 524, 622, 577, 1231, 269, 898, 568, 513, 1390, 2707, 540, 25168, 1156, 11169, 543, 32064, 6950, 602, 2709, 3875, 1072, 2640, 269, 898, 666, 948, 596, 2661, 3476, 543, 4339, 5312, 3676, 899, 3987, 543, 2295, 2068, 267, 1175, 899, 3039, 7401, 269, 20769, 639, 7401, 568, 711, 513, 12990, 585, 3039, 7401, 269, 898, 3085, 1406, 2270, 1022, 14933, 269, 898, 849, 1281, 711, 2270, 1022, 512, 2335, 514, 269, 769, 1249, 267, 621, 3568, 5176, 1100, 14933, 563, 26589, 2515, 1373, 3638, 538, 14434, 267, 2603, 639, 7401, 3762, 849, 2270, 513, 1713, 1297, 540, 4550, 2275, 22083, 7135, 269, 1452, 7135, 723, 1044, 8810, 547, 581, 2523, 2500, 1996, 6089, 2860, 269, 634, 7401, 6978, 1349, 814, 849, 1044, 1336, 547, 581, 3810, 2500, 1996, 28623, 543, 26679, 543, 2960, 3676, 971, 607, 27728, 543, 26253, 269, 769, 4791, 8062, 267, 2550, 945, 3576, 513, 1164, 2179, 540, 561, 12720, 540, 519, 1480, 1351, 7431, 3857, 655, 3196, 1185, 7864, 8320, 540, 17150, 2860, 269, 634, 4960, 540, 3384, 17150, 2860, 729, 849, 4389, 676, 715, 836, 575, 648, 978, 630, 1492, 12015, 2603, 639, 8768, 1040, 4033, 2090, 849, 7152, 606, 2333, 538, 519, 1981, 540, 7181, 543, 897, 28030, 11871, 607, 1134, 607, 897, 28030, 543, 5711, 11871, 563, 299, 582, 639, 7401, 666, 948, 596, 2539, 707, 8501, 269, 4400, 8501, 666, 1291, 547, 3875, 1072, 2152, 269, 16183, 29912, 568, 513, 2068, 538, 799, 29693, 13196, 540, 9761, 1570, 18645, 593, 519, 16209, 269, 634, 1164, 2157, 540, 14434, 538, 20769, 639, 7401, 948, 3247, 519, 5250, 540, 8501, 29693, 13196, 269, 901, 2306, 621, 2500, 538, 9013, 1164, 1973, 2604, 563, 299, 582, 639, 7401, 666, 849, 5351, 538, 9561, 2597, 676, 2810, 707, 10307, 269, 2659, 1560, 568, 2111, 547, 6633, 811, 3170, 952, 707, 10307, 568, 2362, 269, 1656, 950, 596, 6633, 811, 3170, 267, 596, 6175, 519, 2179, 540, 1426, 602, 596, 8532, 267, 7551, 1447, 2287, 707, 14031, 267, 799, 5012, 547, 513, 2539, 6981, 540, 1426, 267, 543, 538, 2490, 267, 1447, 8477, 10057, 269, 25667, 568, 606, 3390, 540, 1390, 6161, 2221, 269, 3509, 1004, 616, 10010, 609, 1164, 1973, 2604, 267, 3987, 267, 543, 1164, 8501, 267, 543, 609, 1434, 2601, 281, 621, 779, 711, 2635, 547, 581, 14968, 563, 299, 582, 639, 7401, 543, 824, 2603, 639, 3597, 29225, 5351, 538, 4543, 2226, 3339, 1648, 2157, 2429, 519, 1554, 269, 10552, 4006, 2157, 616, 519, 1034, 1455, 2014, 540, 9854, 543, 1970, 1648, 2157, 269, 634, 1560, 3085, 1406, 1745, 519, 991, 8532, 811, 4006, 1247, 6704, 713, 7401, 269, 634, 7401, 21560, 1560, 4006, 2157, 267, 865, 602, 621, 3085, 1406, 979, 1932, 1970, 610, 1932, 1164, 563, 299, 582, 639, 267, 607, 1134, 607, 824, 5388, 543, 4829, 616, 849, 5156, 547, 723, 513, 4105, 1909, 538, 20993, 519, 4761, 1062, 269, 901, 568, 519, 2601, 1946, 1082, 3442, 547, 4235, 19176, 2603, 639, 7401, 950, 789, 7985, 689, 606, 4576, 899, 513, 4411, 610, 2770, 269, 1879, 519, 4761, 1062, 568, 22541, 676, 519, 1560, 267, 621, 666, 8396, 17900, 543, 8290, 811, 3362, 269, 589, 4617, 4761, 1062, 666, 1291, 547, 29406, 10108, 269, 25530, 19176, 2603, 639, 7401, 666, 948, 2333, 707, 1560, 779, 4187, 547, 17900, 543, 8290, 563, 5194, 4324, 540, 519, 21364, 3039, 568, 922, 4390, 547, 12954, 20018, 2504, 269, 7502, 10402, 568, 606, 1271 ]

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