Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 476, 2537, 4154, 563, 1432, 2197, 4465, 519, 15604, 21396, 888, 310, 5793, 16727, 10632, 782, 6066, 30407, 3349, 2477, 689, 476, 4572, 275, 547, 476, 1001, 279, 20112, 289, 1258, 2763, 18197, 2276, 10755, 6434, 30051, 280, 2918, 271, 306, 990, 2884, 5742, 4281, 276, 280, 28657, 278, 3607, 2918, 811, 9343, 1892, 22261, 476, 2918, 267, 476, 1708, 271, 454, 1692, 1082, 4154, 1199, 1023, 1705, 519, 2136, 2276, 3094, 538, 519, 1101, 15604, 21396, 888, 763, 2136, 2276, 543, 4279, 6628, 13615, 585, 3791, 1747, 538, 519, 1293, 540, 2698, 1199, 1023, 267, 609, 2185, 1142, 269, 26465, 525, 689, 476, 1015, 540, 519, 476, 1626, 10283, 715, 31237, 4465, 693, 2547, 835, 30407, 282, 5216, 4465, 693, 2547, 835, 4154, 30407, 16634, 8469, 531, 3401, 6993, 628, 8541, 1320, 528, 548, 604, 670, 13774, 306, 1636, 15899, 28029, 787, 31562, 543, 29735, 5916, 20112, 274, 22068, 591, 271, 289, 1258, 2763, 4962, 811, 9587, 454, 8005, 4465, 519, 2063, 15604, 21396, 888, 301, 528, 3118, 763, 1665, 540, 476, 1789, 715, 31237, 10888, 1199, 1023, 568, 519, 5207, 585, 1022, 15604, 16727, 10632, 269, 21640, 4465, 922, 1101, 15604, 16727, 4154, 30407, 2479, 269, 21785, 3444, 28029, 787, 1236, 1512, 3057, 527, 645, 329, 21417, 337, 2102, 630, 18314, 4154, 267, 835, 8988, 267, 543, 1079, 19730, 264, 6913, 2947, 1199, 1023, 267, 811, 982, 1022, 824, 19002, 16634, 8469, 531, 3349, 10611, 1678, 272, 301, 8016, 301, 528, 3118, 630, 301, 3036, 264, 20112, 1691, 22068, 591, 1691, 289, 1258, 2763, 13647, 271, 811, 9587, 454, 1432, 941, 519, 2621, 538, 519, 1101, 15604, 21396, 888, 763, 3312, 2947, 15604, 16727, 5026, 630, 15842, 5287, 883, 8370, 10459, 264, 941, 536, 10849, 548, 662, 267, 1225, 1782, 267, 4672, 19735, 267, 29735, 31562, 630, 4621, 12371, 540, 519, 10459, 4108, 29862, 267, 3444, 28029, 787, 31562, 267, 29735, 5916, 267, 543, 20744, 17259, 1070, 543, 1236, 908, 630, 4621, 12371, 540, 519, 10459, 4137, 1236, 908, 543, 3432, 1236, 908, 1916, 7617, 2197, 814, 4465, 519, 1034, 4154, 1199, 1023, 693, 519, 15604, 10632, 2094, 789, 3459, 888, 301, 528, 3118, 5415, 982, 476, 273, 267, 8517, 15604, 16727, 4154, 267, 8988, 543, 19730, 1199, 1023, 723, 1044, 13752, 267, 543, 16157, 814, 4607, 476, 31696, 540, 873, 267, 2687, 547, 1239, 16432, 676, 11846, 13129, 269, 1306, 585, 519, 19002, 609, 519, 1034, 5162, 1199, 1023, 267, 646, 12851, 547, 16157, 267, 1932, 563, 8005, 814, 1044, 547, 519, 1034, 21396, 888, 1492, 2136, 2276, 1103, 519, 1686, 540, 519, 14400, 21396, 267, 519, 2136, 2276, 814, 1044, 519, 1034, 3811, 4182, 2479, 267, 609, 513, 5916, 2698, 540, 811, 982, 476, 273, 267, 4335, 1199, 1023, 538, 476, 2767, 16727, 10632, 563, 1432, 941, 519, 476, 276, 3312, 15604, 16727, 5026, 888, 763, 1101, 15604, 21396, 941, 4371, 538, 476, 4572, 275, 538, 16422, 517, 1460, 267, 5333, 269, 634, 3312, 5026, 1899, 1575, 3769, 281, 536, 10849, 548, 662, 267, 3444, 2197, 31562, 267, 1225, 1782, 267, 4137, 1236, 908, 267, 19735, 267, 4108, 29862, 630, 320, 24888, 540, 1979, 987, 23127, 1070, 562, 867, 545, 5916, 267, 20744, 17259, 543, 3432, 1236, 908, 563, 7617, 2051, 712, 4564, 5607, 538, 21396, 8258, 888, 13582, 10376, 8258, 538, 519, 476, 1626, 16493, 23327, 835, 540, 519, 2947, 17407, 12721, 693, 519, 21396, 281, 4000, 630, 344, 3641, 1070, 519, 17113, 630, 1042, 1070, 5607, 630, 13582, 1070, 2342, 630, 18872, 1070, 543, 7909, 807, 630, 19990, 1916, 2691, 729, 519, 2063, 15604, 21396, 4371, 888, 1001, 279, 8266, 540, 15604, 16727, 10632, 21118, 20079, 17413, 295, 739, 2749, 291, 919, 4477, 323, 1001, 279, 303, 6614, 784, 2419, 836, 21938, 476, 280, 1700, 21857, 26522, 3383, 14024, 21938, 476, 278, 1700, 22446, 18089, 309, 24860, 21938, 476, 1321, 268, 28434, 24879, 307, 528, 3626, 21938, 476, 1015, 268, 26783, 274, 811, 9343, 454, 1432, 2197, 814, 2760, 4465, 606, 16727, 30407, 888, 2704, 3316, 807, 8601, 12721, 538, 476, 279, 10632, 267, 24640, 807, 814, 2760, 4465, 513, 30407, 269, 4595, 922, 26813, 538, 476, 3192, 277, 267, 1656, 528, 571, 814, 15548, 538, 782, 476, 1556, 14400, 16727, 10632, 563, 31549, 4896, 2479, 4421, 741, 16727, 30407, 888, 4002, 13628, 267, 476, 1691, 16727, 1199, 1023, 979, 593, 519, 3625, 538, 513, 2661, 9042, 5342, 676, 681, 305, 589, 25934, 538, 11785, 269, 2560, 589, 968, 300, 4275, 2193, 593, 10979, 892, 476, 2735, 271, 4672, 19735, 4154, 30407, 13752, 547, 4460, 28243, 4421, 585, 1269, 20542, 267, 10384, 538, 476, 1001, 271, 267, 1247, 513, 2147, 30407, 10362, 547, 4460, 14529, 767, 747, 543, 23678, 1386, 609, 1010, 2012, 4682, 585, 1269, 26783, 267, 12010, 2063, 2904, 563, 7617, 2197, 814, 4465, 519, 21396, 1034, 888, 18197, 2276, 763, 7330, 13201, 654, 517, 519, 4107, 2405, 1023, 17213, 5938, 600, 326, 1245, 272, 18197, 2276, 272, 267, 28873, 273, 306, 990, 2884, 5742, 1948, 24496, 274, 30051, 2608, 22550, 275, 15124, 6628, 28091, 277, 811, 9343, 1892, 11321, 476, 275, 267, 476, 1708, 272, 454, 8005, 814, 4465, 519, 1034, 16727, 1199, 1023, 888, 28061, 623, 3559, 1186, 8266, 540, 16727, 1199, 1023, 936, 4876, 5591, 6993, 628, 8541, 312, 8986, 272, 28061, 623, 3559, 1186, 1220, 271, 268, 1001, 7830, 299, 541, 13453, 4678, 2106, 2088, 4198, 277, 1700, 3422, 6246, 11321, 527, 645, 329, 21417, 337, 2102, 1220, 273, 1700, 1001, 10019, 301, 1731, 565, 2967, 1656, 6929, 990, 3192, 273, 1700, 2735, 271, 5655, 811, 9343, 454, 1103, 476, 5002, 271, 543, 476, 5002, 275, 267, 11176, 729, 5189, 607, 606, 14266, 7328, 543, 2968, 519, 1101, 2319, 7328, 3769, 538, 519, 16727, 10632, 269, 4595, 476, 5002, 279, 267, 519, 7328, 814, 1044, 4371, 693, 1169, 16727, 10632, 609, 519, 9868, 540, 519, 476, 4350, 273, 11968, 13353, 10632, 563, 2691, 1705, 519, 21396, 6467, 547, 1169, 476, 273, 1296, 888, 2735, 277, 1103, 476, 2735, 277, 519, 594, 8016, 4956, 547, 588, 16925, 519, 14400, 543, 15604, 10632, 269, 5502, 540, 8066, 1312, 538, 519, 1482, 11706, 1032, 519, 12233, 4956, 547, 14595, 873, 1169, 1079, 1296, 267, 4352, 1312, 10632, 1131, 1869, 581, 4371, 593, 2185, 4458, 9979, 563, 8005, 4465, 4154, 30407, 538, 21396, 689, 3127, 888, 6781, 327, 20680, 645, 785, 571, 306, 9816, 302, 16249, 269, 3683, 519, 1296, 267, 9496, 619, 723, 4465, 2185, 16727, 1199, 1023, 585, 3127, 267, 1851, 799, 568, 3127, 779, 1152, 1367, 4154, 676, 2806, 327, 20680, 645, 785, 571, 538, 519, 476, 1220, 279, 19864, 21396, 269, 0, 3086, 6029, 3688, 476, 272, 268, 276, 540, 476, 276, 454, 18770, 3496, 1382, 543, 1646, 4093, 609, 3165, 538, 6237, 1426, 1949, 454, 15933, 1949, 7854, 11051, 543, 4205, 689, 2504, 547, 4616, 543, 12871, 540, 1426, 607, 1134, 607, 1514, 267, 2804, 543, 2825, 4093, 269, 5253, 1949, 10850, 1683, 513, 11455, 1935, 585, 1382, 4429, 763, 3979, 4279, 20463, 13636, 5253, 3590, 282, 519, 9295, 540, 21996, 543, 519, 2013, 540, 1507, 10652, 20723, 24991, 269, 589, 17564, 7433, 454, 763, 2832, 540, 713, 4901, 1957, 568, 10282, 540, 4540, 3609, 543, 7580, 19647, 602, 723, 1044, 1500, 2907, 602, 708, 12393, 519, 21996, 585, 1507, 10652, 20723, 3165, 269, 634, 17564, 7433, 849, 6799, 930, 3140, 4429, 306, 7739, 532, 543, 5355, 519, 9295, 1507, 8397, 21996, 1118, 547, 2635, 543, 4264, 1426, 1949, 538, 5689, 25596, 454, 2304, 2963, 3609, 5618, 593, 519, 9295, 540, 1507, 8397, 21996, 547, 513, 2635, 543, 4264, 1426, 1062, 538, 5689, 25596, 563, 1103, 1633, 21996, 2565, 585, 519, 2732, 2298, 540, 1762, 1453, 538, 1016, 25781, 4000, 454, 13911, 281, 4750, 9137, 454, 27154, 21299, 3536, 630, 3008, 293, 1070, 971, 607, 3165, 267, 1683, 513, 2565, 2707, 540, 5567, 585, 8192, 2298, 543, 6099, 2208, 540, 1453, 269, 769, 1016, 25781, 4000, 267, 1453, 1419, 8532, 27865, 517, 748, 23611, 2861, 11326, 267, 513, 1883, 1999, 3729, 4429, 290, 22835, 2752, 3194, 5358, 593, 12551, 3397, 686, 6363, 797, 7010, 281, 589, 10282, 454, 763, 3165, 989, 686, 32103, 1062, 13462, 7727, 540, 3165, 543, 824, 12748, 3536, 998, 2789, 11444, 543, 10253, 547, 3309, 6800, 2066, 519, 4541, 543, 568, 513, 1883, 5057, 540, 519, 2518, 989, 686, 32103, 1949, 269, 12551, 543, 824, 3267, 0, 1692, 547, 6460, 476, 4198, 276, 3723, 547, 7397, 888, 347, 4198, 276, 10264, 2608, 1475, 271, 269, 19054, 279, 544, 10166, 476, 276, 4817, 269, 6434, 275, 544, 2008, 288, 1455, 2243, 568, 1215, 1082, 3723, 538, 476, 4198, 276, 11281, 286, 1656, 519, 2626, 568, 476, 5038, 272, 275, 269, 271, 6078, 4200, 275, 10619, 10264, 538, 476, 4198, 276, 544, 269, 19452, 519, 2243, 875, 1082, 11281, 538, 476, 4198, 276, 3723, 814, 519, 2626, 540, 476, 276, 4817, 269, 6434, 275, 544, 538, 476, 4198, 276, 10264, 563, 1692, 1454, 616, 476, 4198, 276, 3952, 538, 7397, 888, 4198, 276, 3952, 3160, 476, 276, 4817, 269, 6434, 275, 7397, 630, 4198, 276, 1111, 815, 476, 276, 4817, 269, 6434, 275, 332, 1040, 20593, 1154, 476, 4198, 276, 10264, 547, 544, 568, 2653, 269, 15439, 946, 938, 9498, 1657, 267, 610, 4019, 519, 4542, 547, 1689, 519, 3259, 476, 4198, 276, 10264, 547, 544, 563, 4198, 276, 10264, 538, 631, 4394, 267, 476, 4198, 276, 10264, 538, 631, 2678, 267, 476, 4198, 276, 14272, 538, 544, 267, 476, 4198, 276, 32243, 547, 631, 2678, 267, 476, 4198, 276, 32243, 547, 544, 267, 476, 4198, 276, 32243, 538, 544, 267, 476, 4198, 276, 14272, 538, 631, 4394, 267, 476, 4198, 276, 14272, 547, 631, 2678, 267, 476, 4198, 276, 14272, 538, 631, 2678, 267, 476, 4198, 276, 32243, 547, 631, 4394, 267, 476, 4198, 276, 32243, 538, 631, 4394, 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 ]
[ 269, 4119, 476, 6021, 267, 5788, 476, 1321, 3604, 1063, 5545, 543, 2475, 1977, 2528, 269, 543, 267, 899, 3013, 267, 2528, 666, 1360, 689, 3148, 547, 3148, 267, 1934, 616, 930, 1919, 602, 6529, 856, 547, 1977, 1163, 27074, 919, 2713, 538, 3567, 563, 272, 269, 5545, 8456, 4724, 4984, 281, 711, 4168, 267, 543, 621, 781, 711, 1271, 19037, 269, 972, 814, 1044, 2370, 1198, 593, 3567, 781, 3909, 17352, 281, 5545, 4892, 2991, 2622, 2782, 4083, 281, 769, 30153, 4892, 5185, 513, 1158, 1360, 1114, 689, 519, 835, 789, 1185, 2451, 538, 1547, 12606, 0, 763, 2112, 540, 476, 8687, 273, 3123, 540, 519, 2112, 540, 476, 8687, 273, 9444, 31564, 6862, 519, 721, 4941, 741, 15539, 547, 1439, 538, 2112, 267, 543, 2943, 2112, 1063, 873, 1705, 2736, 856, 538, 476, 8687, 273, 269, 1703, 941, 2965, 1896, 4128, 1946, 519, 2112, 540, 476, 8687, 273, 3323, 519, 4013, 2601, 607, 1500, 2312, 538, 519, 17083, 540, 2112, 676, 519, 8087, 2829, 540, 13314, 547, 1390, 31564, 729, 519, 12705, 3390, 602, 729, 1500, 676, 519, 21099, 2229, 896, 741, 9753, 2987, 2275, 1735, 4290, 713, 12705, 3390, 568, 606, 1547, 6145, 1285, 690, 611, 549, 781, 1297, 610, 519, 3652, 540, 1016, 31019, 633, 13450, 267, 519, 2112, 540, 476, 8687, 273, 568, 835, 540, 1346, 1919, 602, 596, 4121, 827, 538, 1153, 543, 16425, 29709, 1510, 2101, 12343, 972, 616, 7899, 540, 4586, 2691, 519, 8087, 2829, 10294, 2112, 1996, 31564, 538, 795, 2317, 476, 8687, 273, 267, 519, 8917, 593, 519, 17083, 540, 2112, 538, 519, 18322, 729, 9425, 2673, 267, 10452, 875, 10002, 641, 983, 519, 2112, 729, 547, 1804, 12415, 540, 519, 7819, 1857, 1498, 835, 540, 519, 1292, 4128, 585, 519, 2112, 1185, 547, 798, 609, 519, 2924, 540, 25501, 593, 519, 1547, 634, 2112, 540, 476, 8687, 273, 814, 1044, 5219, 547, 607, 513, 4619, 16124, 968, 16149, 2112, 585, 7115, 2223, 543, 1031, 547, 5581, 666, 6598, 3961, 267, 855, 519, 21099, 1152, 3314, 476, 8687, 273, 607, 519, 1032, 23040, 1961, 517, 22415, 1117, 547, 1547, 634, 7525, 3123, 540, 519, 2112, 540, 476, 8687, 273, 941, 513, 3126, 540, 2804, 24476, 3144, 676, 519, 21099, 543, 18008, 1996, 519, 721, 607, 851, 540, 519, 23040, 1961, 4577, 10617, 543, 7819, 30891, 693, 519, 21099, 2259, 540, 23666, 618, 267, 2523, 1310, 519, 524, 1127, 1901, 820, 10071, 540, 476, 5197, 278, 538, 3210, 547, 519, 476, 5197, 277, 21099, 1547, 3143, 267, 28492, 1705, 711, 6633, 1524, 519, 3043, 2777, 1282, 519, 2112, 540, 476, 8687, 273, 267, 799, 729, 10692, 609, 31564, 936, 17535, 2924, 1018, 568, 1631, 28492, 729, 711, 2943, 513, 2197, 538, 476, 8687, 273, 267, 855, 2864, 21099, 10125, 563, 3963, 941, 1312, 519, 1376, 540, 519, 2112, 540, 476, 8687, 273, 267, 543, 519, 3803, 6370, 11991, 1946, 1705, 18322, 17551, 2112, 593, 31564, 538, 476, 8687, 273, 21099, 13779, 609, 4123, 543, 1547, 634, 3803, 2101, 6370, 540, 519, 2112, 540, 476, 8687, 273, 729, 519, 6370, 540, 1007, 610, 19143, 799, 3576, 1747, 593, 23891, 4231, 476, 279, 267, 476, 8687, 276, 519, 21099, 16091, 1007, 610, 19143, 15691, 547, 1491, 1852, 540, 519, 2823, 2749, 789, 941, 4371, 1055, 543, 17204, 676, 721, 4229, 3366, 676, 543, 4319, 795, 11055, 269, 2201, 519, 22833, 550, 27812, 540, 13314, 781, 17083, 540, 2112, 1996, 519, 8087, 10806, 267, 519, 536, 25900, 781, 3675, 534, 865, 2917, 3081, 519, 2112, 540, 476, 8687, 273, 1869, 24889, 2221, 952, 2576, 11074, 596, 593, 519, 8265, 693, 713, 3169, 1547, 6837, 1705, 711, 3668, 519, 786, 547, 5965, 585, 2112, 538, 15292, 476, 8687, 273, 621, 1185, 6836, 547, 1747, 519, 7952, 781, 3761, 1062, 593, 513, 811, 7850, 3723, 532, 676, 9591, 513, 29170, 3410, 2120, 8257, 593, 519, 4108, 5234, 538, 1747, 540, 519, 28537, 543, 14427, 4108, 8665, 1062, 563, 3963, 1705, 519, 721, 6336, 865, 1082, 12959, 693, 519, 4098, 540, 519, 2112, 540, 476, 8687, 273, 519, 721, 7952, 1287, 15538, 5097, 540, 2150, 11712, 993, 622, 2720, 543, 17740, 3554, 523, 538, 519, 12289, 540, 28492, 267, 7819, 4971, 619, 18174, 880, 569, 8237, 741, 4229, 883, 1614, 8371, 267, 2864, 982, 23622, 606, 4323, 593, 1395, 339, 9418, 269, 2290, 16315, 602, 519, 2112, 540, 476, 8687, 273, 1223, 723, 1044, 14284, 568, 602, 782, 540, 519, 2042, 11855, 676, 14834, 2581, 538, 1175, 4328, 519, 2112, 941, 1279, 4881, 4145, 602, 1185, 24111, 543, 15468, 538, 2956, 936, 519, 3105, 1079, 5756, 269, 23885, 2366, 513, 2112, 5048, 547, 519, 721, 18322, 593, 795, 2317, 476, 272, 267, 476, 8687, 273, 267, 543, 9896, 519, 17083, 540, 2112, 593, 795, 2317, 476, 1240, 267, 476, 8687, 273, 519, 8917, 12517, 5258, 519, 2777, 630, 8064, 1700, 5392, 264, 543, 729, 18205, 569, 2673, 538, 519, 6845, 622, 630, 866, 1700, 1724, 1916, 3963, 1705, 519, 8087, 2829, 543, 31564, 979, 547, 2112, 538, 476, 8687, 273, 1018, 729, 519, 1764, 540, 519, 2112, 593, 519, 7819, 967, 2103, 1018, 798, 596, 1589, 941, 519, 1034, 1713, 4539, 540, 519, 2112, 540, 476, 8687, 273, 269, 1717, 267, 554, 832, 2006, 2829, 602, 538, 1010, 2070, 519, 7287, 585, 28492, 1705, 711, 2014, 519, 2112, 540, 476, 8687, 273, 543, 602, 519, 8087, 2829, 1705, 711, 17551, 2112, 1317, 621, 4941, 547, 3489, 28492, 267, 855, 519, 11601, 540, 28492, 729, 9763, 607, 513, 2101, 32097, 4324, 540, 519, 4655, 269, 634, 2112, 540, 476, 8687, 273, 568, 3622, 2219, 547, 723, 1044, 1008, 12097, 676, 7819, 30891, 936, 519, 23666, 618, 540, 7819, 25501, 676, 519, 31564, 781, 10424, 26010, 543, 1247, 23666, 618, 729, 513, 2101, 3815, 3297, 519, 17083, 540, 2112, 676, 519, 8087, 2829, 1996, 31564, 267, 972, 941, 824, 1713, 2152, 1547, 634, 2112, 540, 476, 8687, 273, 568, 4440, 938, 1034, 21372, 4655, 4352, 513, 1390, 4308, 814, 1044, 2854, 827, 519, 2112, 267, 519, 3328, 7819, 568, 1152, 22394, 569, 3222, 540, 1946, 649, 10692, 610, 945, 519, 10546, 729, 1256, 4586, 763, 2112, 540, 476, 8687, 273, 4352, 922, 2621, 6273, 835, 540, 519, 4182, 779, 1034, 4583, 13348, 5328, 8964, 267, 519, 2112, 540, 476, 8687, 273, 568, 513, 5266, 2370, 8153, 2112, 538, 7819, 1686, 269, 634, 2112, 540, 476, 8687, 273, 7018, 1063, 519, 8087, 2829, 543, 1390, 31564, 1063, 476, 8687, 273, 543, 476, 8687, 275, 13314, 10294, 2112, 593, 1390, 31564, 585, 2947, 4128, 281, 476, 272, 264, 1390, 31564, 1185, 26991, 7819, 16285, 676, 32222, 547, 21704, 7262, 585, 1206, 607, 16219, 538, 519, 14097, 540, 1612, 529, 1310, 519, 12316, 1547, 3399, 4974, 1686, 910, 2112, 540, 476, 8687, 273, 910, 1101, 5123, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 1946, 1705, 519, 2112, 540, 476, 8687, 273, 1376, 269, 0, 20329, 1108, 4214, 540, 8047, 2173, 1385, 2203, 281, 606, 2069, 1935, 799, 11363, 519, 1909, 540, 1514, 5872, 519, 1646, 540, 2123, 4656, 543, 14375, 1983, 568, 513, 2101, 1858, 540, 1071, 269, 1677, 1265, 856, 952, 606, 6514, 1505, 2488, 519, 1344, 519, 8047, 26770, 689, 602, 1505, 267, 519, 8047, 1101, 814, 547, 25666, 519, 2773, 269, 634, 6476, 540, 2409, 4603, 568, 2565, 585, 12570, 519, 9836, 6959, 1034, 6296, 8047, 2409, 2887, 883, 713, 513, 1505, 6268, 269, 12524, 3937, 4441, 267, 2919, 676, 4230, 332, 267, 14574, 2489, 8047, 17102, 971, 607, 2978, 16292, 543, 20604, 3457, 269, 12524, 19288, 649, 616, 10583, 547, 723, 8047, 3498, 12665, 547, 1489, 22475, 1472, 519, 1158, 267, 2436, 789, 2461, 538, 4357, 2872, 267, 24243, 610, 538, 519, 2361, 563, 20007, 2294, 8047, 2553, 616, 519, 1305, 540, 5773, 1031, 593, 2067, 9443, 971, 607, 7998, 267, 7350, 267, 6323, 538, 1931, 547, 2932, 606, 4603, 267, 782, 540, 873, 1246, 519, 3621, 1505, 1247, 930, 540, 873, 4125, 519, 946, 540, 1950, 8047, 3937, 689, 8047, 4837, 2264, 547, 5122, 3457, 267, 543, 1866, 2154, 811, 269, 18430, 2032, 910, 8047, 1505, 3044, 2409, 2228, 910, 3044, 2409, 585, 519, 6514, 540, 1216, 543, 16894, 269, 18391, 585, 2228, 4214, 540, 8047, 538, 519, 2564, 8675, 8047, 7778, 1863, 519, 6988, 540, 519, 1505, 2838, 547, 1685, 543, 5924, 563, 25456, 7041, 1505, 543, 8047, 10386, 5773, 4125, 2901, 281, 598, 532, 543, 10116, 532, 610, 678, 858, 1782, 1505, 598, 532, 543, 10116, 532, 585, 3732, 7041, 2553, 8276, 1385, 519, 1505, 799, 568, 1031, 585, 10386, 1804, 9424, 540, 1570, 2161, 476, 736, 11899, 267, 5161, 540, 26311, 610, 8108, 519, 1570, 883, 513, 598, 673, 24050, 2390, 513, 4396, 269, 623, 338, 1428, 3391, 547, 1505, 15418, 585, 11050, 2079, 538, 27666, 1428, 3391, 547, 1505, 15418, 585, 11050, 2079, 538, 513, 8047, 3391, 547, 1505, 269, 634, 26350, 543, 632, 1067, 1080, 540, 8047, 1505, 540, 3450, 2257, 616, 607, 5205, 281, 26350, 540, 8047, 2409, 281, 1739, 5686, 540, 26350, 666, 581, 934, 4902, 676, 1818, 946, 540, 8047, 2409, 281, 513, 269, 634, 1689, 8047, 630, 743, 264, 1184, 519, 3483, 540, 519, 1505, 568, 547, 948, 513, 960, 2319, 610, 519, 2818, 540, 606, 10721, 1770, 547, 7237, 519, 2042, 563, 299, 1987, 2218, 2409, 513, 713, 1505, 3340, 519, 7041, 540, 513, 5094, 3803, 8920, 1081, 8546, 585, 1142, 6676, 543, 1287, 519, 3003, 9115, 540, 519, 8546, 616, 23953, 269, 901, 1957, 6743, 946, 540, 8047, 1505, 538, 3450, 6281, 1153, 1053, 281, 513, 1883, 693, 519, 547, 5355, 1492, 2298, 540, 8047, 2238, 723, 1279, 1185, 513, 269, 12524, 1505, 540, 3450, 5423, 676, 281, 12103, 1954, 16379, 328, 575, 8934, 536, 572, 14428, 903, 857, 273, 563, 306, 13932, 275, 5860, 6482, 3044, 8047, 2409, 547, 3313, 5860, 2047, 616, 711, 4052, 693, 4262, 1317, 540, 519, 5163, 540, 269, 12524, 1505, 2433, 8047, 1505, 18252, 6151, 1239, 610, 1570, 1919, 547, 3132, 1732, 1620, 540, 519, 1641, 2339, 610, 3992, 1565, 676, 3257, 1210, 4641, 3079, 540, 6698, 269, 4746, 3769, 568, 519, 524, 12028, 534, 8047, 2298, 22059, 8261, 799, 5713, 735, 754, 1756, 540, 10763, 8047, 2409, 585, 6402, 547, 519, 1505, 269, 25315, 1674, 267, 849, 1634, 607, 5707, 3234, 4479, 267, 568, 513, 1455, 8047, 1505, 540, 11050, 3114, 2079, 602, 568, 1031, 547, 3313, 519, 5834, 540, 606, 4857, 2555, 974, 563, 5649, 3184, 3184, 476, 273, 281, 875, 3610, 4001, 281, 1808, 2409, 281, 2500, 2257, 3450, 3340, 5876, 267, 9345, 267, 543, 5647, 538, 1769, 540, 598, 269, 12524, 2409, 538, 1426, 8762, 5735, 6257, 513, 2647, 2039, 540, 2409, 585, 946, 538, 519, 18117, 1670, 2079, 540, 3536, 267, 1519, 4485, 547, 10203, 543, 7020, 5773, 585, 14471, 267, 8446, 540, 4551, 267, 9493, 6814, 543, 13271, 267, 18117, 1670, 2079, 585, 519, 1292, 1426, 20161, 2516, 267, 543, 3106, 538, 519, 1426, 8762, 5735, 269, 1280, 2564, 8047, 2029, 1053, 4367, 547, 2564, 8047, 2029, 10874, 7315, 340, 694, 9767, 332, 3771, 600, 11535, 6280, 538, 5698, 609, 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 ]
[ 1944, 5121, 454, 292, 269, 7464, 8996, 6286, 281, 16792, 4681, 547, 2069, 267, 3797, 267, 543, 14375, 2792, 692, 4353, 269, 11576, 9461, 5336, 19318, 29896, 543, 21150, 617, 1221, 595, 10744, 454, 288, 269, 10417, 540, 22993, 17133, 281, 11020, 3252, 5473, 5872, 1063, 5042, 3157, 543, 1560, 5322, 454, 289, 269, 2920, 10474, 540, 9729, 673, 5179, 5121, 2390, 4598, 547, 2962, 5829, 15102, 538, 834, 16655, 12794, 767, 320, 541, 4840, 290, 269, 25841, 5179, 16794, 2534, 950, 19700, 1995, 2178, 2790, 1436, 454, 291, 269, 20556, 1063, 11604, 11409, 543, 1138, 6819, 3527, 4330, 538, 5931, 454, 292, 269, 19750, 3156, 538, 4610, 1519, 14317, 267, 5026, 6530, 267, 543, 2773, 6575, 692, 309, 269, 7351, 12367, 543, 8892, 19648, 454, 288, 269, 744, 32054, 1382, 693, 519, 10167, 540, 3332, 543, 23798, 454, 289, 269, 22034, 2029, 547, 1732, 1174, 2634, 1599, 543, 3210, 547, 3332, 454, 290, 269, 18601, 5683, 9270, 3823, 1761, 12879, 540, 3988, 262, 4664, 454, 291, 269, 18964, 5188, 1472, 2686, 8417, 543, 6041, 1369, 1158, 3332, 692, 9654, 269, 4147, 11314, 281, 19171, 7335, 543, 17564, 454, 288, 269, 8564, 1896, 1883, 15102, 689, 834, 16655, 12794, 767, 320, 541, 257, 18995, 10207, 540, 15746, 543, 4187, 454, 289, 269, 18918, 1053, 538, 1507, 1895, 5717, 7421, 1915, 18144, 543, 3929, 5222, 454, 290, 269, 11120, 4106, 622, 2898, 1362, 4901, 9236, 12496, 543, 3695, 4296, 547, 2123, 2833, 454, 291, 269, 12833, 924, 13538, 547, 2671, 7422, 593, 2242, 538, 2168, 17915, 610, 4555, 4810, 1247, 2542, 16965, 5697, 15102, 692, 23997, 269, 10495, 454, 288, 269, 18838, 8086, 1957, 6313, 1367, 6547, 547, 1808, 10207, 538, 834, 16655, 12794, 767, 320, 541, 2437, 5373, 4296, 547, 6626, 4798, 540, 14226, 543, 6568, 454, 289, 269, 21302, 8655, 2376, 7234, 6402, 1063, 23798, 543, 3332, 543, 1459, 5758, 4681, 547, 519, 1362, 454, 290, 269, 11300, 1788, 3981, 532, 1007, 2994, 585, 3450, 834, 16655, 12794, 767, 320, 541, 257, 1210, 4030, 29742, 539, 689, 713, 1770, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 649, 1224, 5339, 5708, 267, 649, 616, 16487, 547, 14070, 4025, 267, 543, 649, 1745, 543, 1589, 2059, 609, 519, 3197, 269, 6736, 519, 2956, 540, 2239, 538, 2937, 1272, 543, 1282, 1646, 267, 519, 5778, 322, 4321, 6127, 5817, 5708, 8223, 616, 15458, 269, 1284, 1031, 6198, 6419, 16982, 9196, 630, 325, 28122, 264, 547, 8495, 875, 2043, 8335, 2308, 8849, 5121, 1271, 585, 1620, 1866, 685, 4978, 543, 15752, 630, 11365, 1944, 1070, 543, 585, 9300, 328, 2173, 19318, 11191, 1247, 6947, 547, 32461, 689, 5339, 9089, 269, 10871, 6500, 4247, 941, 1031, 547, 2199, 1125, 1312, 519, 9729, 673, 5179, 3060, 543, 519, 2790, 1944, 3060, 538, 5171, 1310, 789, 19557, 547, 32461, 689, 5339, 9089, 269, 11778, 1397, 602, 5171, 945, 1185, 1164, 11852, 538, 18751, 31443, 4776, 30613, 16794, 630, 320, 6573, 15598, 282, 851, 540, 519, 2790, 1944, 3060, 264, 950, 6947, 547, 2790, 1944, 1543, 540, 5339, 5708, 267, 1185, 2539, 5179, 16794, 2534, 950, 789, 19557, 547, 2962, 5829, 1543, 540, 519, 1650, 267, 543, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11372, 520, 25625, 781, 7665, 12794, 767, 320, 541, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 13814, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 13812, 11094, 998, 519, 30776, 540, 27743, 13738, 645, 662, 1941, 2701, 788, 692, 7072, 912, 763, 4027, 543, 11091, 540, 938, 4541, 781, 9265, 616, 10296, 2152, 602, 3747, 7525, 3007, 543, 2962, 269, 634, 7771, 538, 7320, 5095, 5001, 8711, 519, 14849, 991, 547, 1174, 543, 2936, 2500, 2994, 585, 25137, 2249, 543, 741, 9249, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1158, 540, 7320, 5726, 676, 6313, 519, 2013, 1353, 540, 519, 27743, 13738, 645, 662, 1941, 2701, 788, 267, 513, 23836, 3662, 5065, 547, 3345, 3013, 543, 6849, 1713, 2591, 1813, 547, 7226, 2530, 543, 26610, 269, 1635, 3695, 519, 1272, 1686, 267, 14498, 267, 543, 5726, 3646, 4478, 713, 11599, 2249, 267, 649, 2832, 547, 8774, 1769, 593, 6626, 4798, 543, 3741, 4143, 547, 4207, 7320, 5726, 5717, 780, 4089, 476, 272, 281, 5020, 3778, 543, 17905, 540, 519, 27743, 13738, 645, 662, 1941, 2701, 788, 454, 305, 1442, 344, 13738, 645, 662, 1941, 2701, 788, 630, 302, 6665, 666, 611, 18424, 264, 616, 1804, 11864, 1336, 5097, 538, 620, 18090, 543, 1016, 531, 18090, 4525, 2429, 7262, 4516, 543, 519, 2136, 2276, 269, 19612, 585, 741, 7372, 17208, 28712, 267, 891, 2831, 8858, 7415, 14624, 602, 5512, 873, 547, 8853, 538, 4101, 7823, 5054, 269, 4256, 11876, 7174, 1683, 5140, 20086, 593, 22586, 14099, 267, 1247, 741, 16994, 32416, 2636, 2038, 7020, 540, 1761, 6937, 780, 305, 1442, 344, 13738, 645, 662, 1941, 2701, 788, 9468, 3309, 8916, 6353, 676, 27726, 10239, 267, 30917, 267, 543, 803, 27595, 269, 1452, 2127, 4196, 1585, 5301, 267, 1519, 8023, 267, 20282, 267, 543, 9319, 11975, 269, 589, 1883, 2460, 540, 741, 1514, 2497, 3322, 3982, 5256, 543, 4775, 1895, 902, 1282, 1114, 2053, 540, 519, 1032, 269, 681, 4461, 3335, 1106, 5094, 2516, 4849, 1282, 519, 9960, 4005, 950, 789, 14526, 585, 552, 342, 525, 267, 18071, 11141, 2212, 8117, 1154, 5615, 547, 3715, 17282, 780, 4089, 476, 273, 281, 21784, 338, 543, 12694, 674, 5217, 27743, 13738, 645, 662, 1941, 2701, 788, 454, 8601, 741, 30840, 267, 27743, 13738, 645, 662, 1941, 2701, 788, 3068, 3875, 6937, 18363, 2551, 2338, 543, 3892, 269, 26335, 12159, 543, 26610, 4611, 689, 1480, 2238, 971, 607, 5599, 267, 19883, 267, 543, 4683, 1646, 10460, 4049, 4539, 585, 891, 2831, 269, 32746, 7757, 9249, 6615, 3350, 543, 5444, 2095, 267, 3056, 547, 4389, 4719, 4763, 543, 2799, 13438, 547, 3676, 269, 3958, 267, 6469, 13184, 4367, 1419, 2164, 538, 19800, 6771, 267, 2417, 17116, 3552, 13265, 5095, 780, 5194, 2565, 6161, 7133, 27743, 13738, 645, 662, 1941, 2701, 788, 568, 2916, 1689, 269, 2782, 1067, 5210, 2014, 19260, 538, 6777, 17569, 6384, 543, 10664, 3270, 267, 5732, 27200, 1898, 1426, 2959, 543, 9194, 11507, 269, 5047, 267, 2810, 4908, 543, 8515, 540, 23967, 949, 1267, 538, 8101, 7226, 9271, 267, 12615, 908, 4540, 12503, 5185, 676, 713, 2249, 780, 4089, 476, 274, 281, 11094, 11150, 543, 9024, 328, 2510, 454, 19931, 5726, 3800, 2154, 10319, 4485, 5473, 2789, 8639, 267, 1519, 2229, 8041, 267, 18758, 3906, 267, 7087, 2950, 267, 543, 2199, 7264, 269, 1280, 1383, 267, 9591, 6870, 2127, 899, 3084, 11614, 543, 7320, 14425, 28863, 4105, 9249, 543, 5849, 1279, 3856, 18094, 540, 6098, 2249, 269, 20074, 3280, 2244, 946, 4058, 2853, 24024, 7526, 1063, 1480, 1646, 543, 7320, 2115, 267, 5009, 30398, 2864, 982, 6735, 780, 27916, 2610, 3646, 849, 1404, 513, 2629, 1909, 538, 23232, 8697, 8134, 543, 32543, 18166, 12219, 2249, 269, 23488, 22626, 28811, 678, 13370, 1343, 2640, 1312, 6469, 13184, 543, 3552, 796, 326, 12885, 267, 5355, 2949, 5251, 1072, 543, 7607, 269, 5015, 267, 27604, 9960, 3292, 948, 2226, 2635, 5095, 267, 7175, 13350, 32543, 3174, 883, 5078, 9249, 1141, 970, 597, 335, 730, 780, 14276, 2069, 543, 4656, 11044, 6318, 9637, 3823, 519, 726, 697, 540, 13155, 2249, 899, 519, 27743, 13738, 645, 662, 1941, 2701, 788, 267, 5807, 6568, 543, 1489, 585, 5726, 7341, 269, 12056, 6107, 538, 2825, 19642, 7512, 3743, 2623, 2509, 2470, 267, 4180, 2104, 5481, 3565, 9797, 547, 5571, 7320, 4027, 18129, 780, 6962, 912, 8139, 519, 10848, 4478, 7320, 5726, 3340, 9488, 6514, 540, 1367, 2013, 2090, 267, 971, 607, 602, 540, 519, 27743, 13738, 645, 662, 1941, 2701, 788, 269, 3414, 6297, 2079, 540, 741, 7350, 267, 8733, 4170, 267, 543, 27643, 5222, 267, 649, 2744, 3407, 4030, 883, 875, 1655, 547, 2149, 7925, 2249, 543, 8190, 6198, 8134, 269, 16792, 891, 4245, 17618, 2066, 3454, 21978, 2516, 543, 13664, 10253, 8309, 3648, 547, 8236, 2518, 9265, 3853, 543, 4509, 3047, 781, 6946, 13795, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2467, 568, 865, 1454, 547, 798, 543, 865, 1082, 4025, 547, 3643, 609, 3214, 538, 29131, 256, 1411, 666, 3442, 1063, 1082, 3872, 4025, 1141, 3214, 786, 1451, 543, 723, 1187, 267, 5863, 15882, 609, 17878, 24218, 267, 911, 5404, 13238, 11614, 267, 1216, 11614, 267, 9205, 4025, 609, 18198, 29278, 267, 543, 865, 1454, 811, 256, 6744, 856, 713, 1592, 649, 723, 2813, 609, 519, 1655, 476, 2004, 1919, 547, 798, 538, 29131, 543, 5965, 547, 3605, 543, 2972, 519, 1082, 1919, 519, 2048, 685, 290, 578, 24742, 3557, 685, 685, 814, 547, 2709, 2336, 8489, 281, 476, 3445, 278, 4639, 681, 4461, 1817, 333, 267, 14878, 12251, 267, 654, 312, 267, 7330, 454, 295, 2293, 281, 11354, 25980, 630, 19688, 476, 272, 5336, 599, 476, 2420, 267, 476, 1708, 271, 2567, 7046, 631, 1180, 904, 4149, 4405, 17058, 267, 476, 1015, 7537, 268, 275, 6751, 267, 1849, 2216, 9530, 904, 1923, 14400, 25980, 630, 9802, 476, 2537, 4149, 324, 4697, 476, 278, 267, 476, 1708, 271, 2567, 7046, 5272, 4303, 267, 476, 280, 7537, 268, 276, 6751, 454, 7476, 4712, 547, 1451, 3388, 827, 536, 662, 1941, 13265, 543, 7320, 543, 3552, 4133, 5726, 2336, 24916, 5863, 15225, 543, 7317, 10525, 267, 596, 786, 581, 2111, 547, 1294, 519, 1733, 529, 4486, 13738, 267, 1753, 540, 835, 540, 519, 8608, 779, 4102, 5162, 532, 23636, 540, 27743, 13738, 645, 662, 1941, 2701, 788, 256, 901, 568, 513, 1390, 4781, 1851, 519, 1082, 3579, 1919, 547, 798, 538, 29131, 18854, 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, 12292, 1315, 12551, 1315, 12551, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1391, 6580, 476, 1911, 2600, 20410, 6580, 3135, 454, 15757, 276, 910, 9965, 274, 13458, 543, 14886, 1222, 6164, 625, 281, 21007, 685, 330, 2742, 336, 7858, 7007, 513, 3126, 540, 1713, 21308, 269, 14378, 274, 8402, 13118, 326, 3710, 476, 14690, 271, 21007, 685, 330, 2742, 336, 21775, 4779, 846, 12404, 609, 3943, 476, 14690, 280, 17135, 12397, 13665, 529, 4547, 476, 7742, 271, 13896, 547, 21007, 685, 330, 2742, 336, 3338, 538, 22085, 269, 4489, 272, 4095, 2920, 14066, 4336, 1163, 10187, 566, 540, 21007, 685, 330, 2742, 336, 3338, 543, 7142, 8851, 540, 21007, 685, 330, 2742, 336, 7264, 269, 4489, 275, 268, 1240, 21007, 685, 330, 2742, 336, 4196, 538, 13431, 296, 476, 4572, 278, 4095, 2920, 17246, 1749, 6340, 540, 21007, 685, 330, 2742, 336, 476, 4350, 271, 338, 12870, 281, 21007, 685, 14790, 30929, 941, 899, 3875, 4057, 16543, 945, 17388, 998, 13864, 267, 6710, 543, 2068, 269, 1763, 7808, 3506, 267, 899, 1744, 889, 523, 659, 611, 773, 1210, 10728, 21939, 2994, 543, 6057, 3361, 29076, 3441, 11053, 830, 8056, 655, 3645, 281, 21007, 685, 14790, 659, 19135, 2872, 267, 844, 650, 1740, 267, 10943, 842, 30504, 267, 18955, 678, 13903, 267, 5170, 2429, 5553, 8160, 328, 685, 330, 2742, 336, 17035, 1991, 547, 7503, 547, 8567, 3769, 19001, 267, 17509, 267, 669, 13589, 267, 543, 9299, 2358, 918, 529, 592, 330, 760, 563, 3422, 280, 6519, 7433, 1572, 585, 21939, 540, 782, 3689, 8315, 9082, 267, 519, 705, 5766, 566, 540, 741, 21308, 267, 1439, 540, 2244, 6811, 267, 2558, 8775, 879, 15653, 519, 6519, 7433, 538, 476, 3192, 271, 269, 6245, 280, 21007, 685, 330, 2742, 336, 1893, 568, 835, 540, 1158, 779, 29659, 538, 6863, 630, 305, 663, 476, 6245, 280, 264, 744, 344, 3122, 10068, 267, 21007, 685, 330, 2742, 336, 3801, 8105, 855, 10728, 1163, 10187, 566, 540, 2244, 1225, 339, 5661, 1967, 11482, 3317, 2135, 6816, 3785, 1331, 16916, 4544, 9440, 8105, 269, 476, 5002, 271, 27743, 8672, 1453, 616, 15189, 1569, 547, 2069, 1317, 741, 3237, 723, 19505, 269, 2735, 278, 9835, 7027, 540, 21007, 685, 330, 2742, 336, 9672, 602, 840, 268, 18183, 539, 3130, 14097, 24458, 21007, 685, 330, 2742, 336, 5094, 3084, 3961, 543, 1318, 547, 1582, 3766, 17922, 476, 1960, 271, 8549, 543, 21621, 6608, 941, 695, 3139, 18368, 950, 3162, 3979, 4550, 268, 777, 691, 22727, 6205, 5795, 513, 1085, 987, 532, 2689, 540, 1010, 3643, 547, 513, 6552, 3689, 8315, 2146, 476, 1960, 271, 10318, 1441, 267, 5483, 267, 10427, 543, 4199, 995, 705, 13092, 3401, 17146, 519, 3666, 540, 1379, 1063, 519, 5313, 543, 705, 13092, 9082, 998, 513, 13085, 4640, 602, 3366, 547, 519, 5821, 540, 519, 631, 2465, 577, 8235, 6452, 867, 269, 476, 1960, 271, 338, 2160, 13473, 3689, 8315, 1291, 17600, 693, 744, 6390, 476, 1960, 273, 21007, 685, 330, 2742, 336, 3308, 5159, 8329, 2178, 2797, 6898, 998, 1148, 693, 15726, 290, 663, 631, 6717, 24218, 563, 1960, 274, 21007, 685, 330, 2742, 336, 3180, 3203, 607, 23046, 32600, 476, 1960, 274, 268, 275, 2136, 8315, 1085, 987, 532, 1867, 593, 8225, 1480, 2924, 5638, 1471, 268, 14504, 23724, 3689, 8315, 476, 1960, 275, 21007, 685, 330, 2742, 336, 1582, 3766, 17922, 6069, 476, 1960, 275, 16672, 540, 7126, 540, 7087, 24447, 31751, 693, 2136, 8315, 524, 269, 20563, 28393, 1017, 17318, 267, 8549, 21996, 10492, 530, 3042, 2112, 593, 21007, 685, 330, 2742, 336, 535, 29913, 693, 10163, 580, 537, 3832, 267, 661, 601, 5211, 267, 8738, 660, 932, 745, 577, 476, 1960, 276, 268, 277, 25846, 4338, 8947, 3140, 543, 4207, 13253, 7282, 1894, 1063, 16971, 24447, 540, 4516, 543, 13896, 269, 11260, 271, 21007, 685, 330, 2742, 336, 1031, 20910, 7219, 585, 7784, 2665, 267, 1185, 8988, 11369, 956, 476, 11260, 277, 268, 8287, 15521, 540, 8303, 8694, 18599, 13012, 2782, 609, 513, 3703, 11802, 269, 0, 296, 786, 946, 1772, 532, 20199, 607, 519, 15441, 585, 519, 7161, 267, 538, 1394, 538, 519, 2038, 476, 5197, 271, 779, 268, 7277, 271, 588, 25973, 517, 538, 8235, 2201, 1180, 15676, 2282, 5204, 2350, 2224, 12924, 543, 4478, 8933, 941, 2048, 13700, 1662, 685, 3165, 16634, 335, 6150, 909, 593, 13272, 543, 1577, 4232, 267, 1317, 789, 13264, 13278, 2173, 523, 779, 24437, 610, 941, 1031, 547, 4492, 9252, 21525, 582, 1161, 269, 1306, 606, 1383, 267, 596, 3112, 946, 12404, 15441, 585, 16345, 4496, 547, 3574, 855, 3079, 596, 1131, 946, 12551, 15441, 267, 855, 519, 1482, 15441, 9327, 1406, 3411, 823, 585, 575, 843, 532, 267, 3079, 596, 1131, 946, 15529, 2960, 15441, 269, 1772, 532, 20199, 814, 513, 1454, 2362, 25297, 982, 12404, 15441, 267, 538, 1931, 547, 3489, 15441, 3435, 540, 1970, 25297, 621, 568, 711, 2141, 19624, 547, 936, 32561, 1164, 16036, 1350, 1132, 23494, 267, 12404, 15441, 568, 513, 1164, 16036, 15441, 269, 1358, 1058, 581, 1863, 540, 1973, 28163, 543, 824, 1804, 538, 7501, 269, 769, 713, 2013, 267, 513, 2539, 15074, 4222, 15441, 1131, 581, 30074, 269, 12551, 15441, 568, 1732, 982, 3905, 12404, 15441, 585, 1350, 5224, 1875, 3574, 2694, 899, 27081, 538, 331, 904, 610, 4496, 547, 3574, 269, 12551, 15441, 568, 513, 12001, 267, 7990, 1652, 267, 1216, 19729, 15441, 269, 8111, 15441, 568, 2922, 585, 946, 538, 3165, 13688, 1317, 621, 3587, 4625, 16931, 950, 5848, 610, 6632, 269, 8729, 585, 519, 16253, 269, 28611, 267, 789, 616, 5497, 547, 9688, 547, 519, 13964, 267, 543, 1058, 711, 1039, 11195, 547, 519, 4055, 267, 8259, 519, 9205, 2011, 602, 779, 13868, 519, 2011, 25356, 676, 519, 3819, 518, 568, 1164, 538, 11195, 267, 1247, 267, 693, 519, 1482, 942, 267, 519, 2777, 2011, 814, 1044, 12015, 676, 4881, 606, 2011, 8410, 1288, 532, 1770, 269, 594, 723, 6836, 609, 2407, 3196, 547, 2736, 519, 4773, 6306, 543, 3112, 798, 865, 543, 3314, 713, 568, 609, 513, 2539, 3446, 3165, 15441, 269, 9282, 17890, 267, 519, 7041, 540, 519, 15441, 26857, 2614, 12015, 15441, 547, 2063, 585, 513, 1906, 1296, 269, 1403, 596, 1705, 865, 267, 596, 1131, 14020, 922, 4222, 267, 682, 3663, 532, 267, 11926, 543, 28969, 519, 3574, 949, 1267, 952, 621, 568, 1216, 6213, 269, 2368, 824, 15441, 2010, 602, 941, 11827, 538, 10255, 543, 7507, 729, 27341, 630, 332, 1460, 540, 18654, 267, 15027, 11849, 543, 5070, 1070, 17378, 2861, 23287, 2250, 525, 267, 3165, 2861, 1350, 1132, 543, 1360, 1271, 13545, 2861, 15441, 602, 729, 14916, 1031, 607, 13021, 656, 540, 11308, 2371, 593, 16996, 543, 9635, 269, 1403, 519, 25297, 568, 1932, 1970, 519, 15441, 949, 23309, 1932, 2484, 883, 519, 3574, 267, 6028, 519, 4745, 5182, 1386, 540, 23287, 269, 1280, 1034, 824, 3156, 267, 10991, 1350, 1132, 602, 666, 16641, 1082, 10792, 2175, 616, 3622, 1031, 269, 11289, 596, 1360, 1454, 585, 4687, 269, 769, 2489, 267, 1350, 1132, 540, 2362, 16036, 4222, 1020, 8214, 5488, 982, 2539, 16036, 1350, 1132, 269, 634, 15441, 543, 1216, 941, 5116, 538, 513, 2306, 31183, 5595, 15245, 1210, 519, 4837, 581, 6033, 267, 513, 11308, 3625, 267, 543, 513, 1804, 5986, 1494, 269, 5047, 267, 594, 341, 800, 1286, 951, 946, 621, 543, 3132, 1360, 4190, 4773, 1848, 634, 4903, 331, 583, 3215, 8069, 616, 4894, 676, 10868, 609, 3905, 1216, 267, 1287, 22799, 543, 12015, 547, 3132, 717, 601, 11294, 610, 3794, 826, 269, 594, 3750, 1532, 6817, 519, 5223, 538, 513, 1804, 4837, 581, 6033, 547, 513, 3803, 4320, 540, 827, 476, 8517, 16720, 269, 1772, 532, 20199, 6923, 10953, 3810, 7123, 543, 13412, 8874, 952, 12015, 693, 4055, 2837, 267, 1373, 5594, 1657, 922, 2837, 15074, 269, 594, 723, 2760, 4862, 540, 3165, 15441, 1354, 594, 1224, 713, 13181, 2376, 269, 12551, 15441, 568, 1419, 1500, 676, 8022, 519, 2960, 610, 7633, 540, 3165, 538, 1216, 269, 645, 1080, 6967, 1310, 519, 2034, 19288, 666, 581, 23987, 609, 519, 6006, 532, 269, 3026, 13145, 547, 519, 2344, 543, 1175, 607, 1434, 588, 25973, 517, 269, 594, 1810, 1406, 917, 952, 2413, 1350, 1132, 849, 723, 519, 1482, 3601, 610, 711, 269, 12551, 15441, 568, 1419, 6213, 547, 2242, 538, 11195, 543, 2837, 267, 543, 666, 16756, 1247, 15018, 267, 865, 621, 568, 711, 2141, 519, 9053, 5420, 547, 946, 269, 901, 568, 1946, 594, 3112, 2566, 713, 1448, 2614, 267, 547, 2141, 4444, 689, 513, 11967, 2707, 899, 7085, 10247, 543, 11612, 326, 1231, 269, 2311, 713, 1448, 267, 519, 3070, 1058, 581, 5835, 880, 543, 2312, 540, 11353, 269, 1772, 532, 20199, 568, 849, 519, 1655, 585, 13936, 5798, 585, 909, 547, 513, 1032, 269, 1452, 21187, 616, 1634, 607, 5068, 23924, 1256, 1498, 789, 1810, 1406, 2965, 5068, 1047, 519, 15441, 269, 634, 968, 2889, 12888, 15441, 3349, 5608, 4179, 2517, 30394, 928, 2096, 753, 30394, 6773, 8807, 3796, 269, 5320, 12304, 2593, 270, 1001, 278, 270, 4962, 24579, 12888, 25322, 826, 2389, 762, 15005, 269, 7827, 16532, 1411, 616, 6085, 532, 1210, 707, 9365, 2272, 269, 634, 2759, 909, 4773, 666, 581, 6740, 538, 30660, 543, 556, 1673, 1170, 9407, 538, 1216, 607, 789, 616, 2877, 269, 12182, 15441, 543, 15441, 15963, 616, 4122, 1031, 585, 6575, 543, 13492, 1317, 540, 519, 2647, 2039, 540, 2326, 602, 3905, 15441, 666, 6529, 1927, 269, 2368, 9755, 3409, 602, 741, 5277, 12404, 1350, 1132, 1281, 711, 2270, 575, 2454, 20127, 538, 799, 2013, 519, 15074, 11294, 748, 5119, 1590, 581, 14320, 4299, 676, 7636, 1579, 822, 720, 267, 543, 621, 779, 711, 519, 17860, 1063, 513, 4807, 779, 6089, 269, 11289, 596, 585, 602, 31506, 341, 664, 543, 602, 2306, 9985, 1434, 2631, 607, 7601, 568, 513, 1434, 18364, 540, 3002, 267, 898, 2306, 2631, 602, 789, 1131, 946, 7601, 269, 769, 4641, 267, 519, 3165, 25322, 826, 568, 513, 15441, 1500, 676, 15018, 896, 519, 3141, 540, 519, 7669, 15485, 540, 519, 588, 25973, 517, 610, 824, 3165, 267, 2221, 711, 607, 7839, 269, 898, 779, 4277, 547, 4063, 952, 594, 949, 1394, 3950, 513, 2370, 267, 602, 8022, 891, 1350, 1132, 693, 1164, 5210, 2161, 476, 3199, 322, 610, 476, 3445, 322, 1131, 1267, 538, 1152, 1507, 2179, 540, 2530, 540, 4222, 952, 1152, 2944, 585, 513, 1906, 3764, 267, 15042, 1131, 11904, 519, 15441, 24631, 269, 594, 1705, 1439, 909, 3478, 2127, 540, 7535, 532, 602, 3576, 3476, 547, 3819, 982, 1866, 269, 634, 7669, 1025, 5417, 619, 1058, 581, 865, 8898, 16074, 538, 1216, 1210, 5111, 513, 476, 272, 281, 1015, 15441, 3562, 21226, 5223, 269, 8347, 552, 29074, 269, 901, 2376, 2982, 875, 5100, 543, 917, 1194, 326, 762, 519, 5856, 568, 269, 1403, 707, 13186, 568, 538, 513, 14927, 1604, 1287, 1810, 1406, 2503, 1454, 2164, 609, 1022, 3662, 3940, 15441, 267, 952, 707, 7385, 779, 3819, 518, 568, 538, 707, 13186, 267, 707, 6300, 1519, 782, 707, 2645, 543, 3574, 786, 581, 865, 8898, 269, 623, 3559, 1186, 13852, 269, 5637, 1350, 1132, 616, 1390, 2067, 3940, 1350, 1132, 609, 1082, 540, 519, 1482, 4162, 269, 25214, 267, 9640, 723, 1044, 2366, 547, 519, 15441, 5958, 950, 789, 5884, 269, 22339, 1047, 618, 634, 5750, 15211, 596, 998, 1018, 1826, 540, 15441, 1568, 593, 513, 2039, 540, 2326, 269, 1809, 707, 2376, 849, 5018, 7439, 1633, 4400, 570, 871, 12551, 3794, 826, 269, 769, 1840, 547, 3165, 267, 513, 1297, 540, 2831, 971, 607, 17544, 543, 9640, 723, 1044, 1031, 547, 1118, 15441, 269, 31400, 4400, 8167, 540, 3170, 849, 10607, 519, 22786, 855, 693, 519, 1942, 540, 4227, 3803, 6125, 543, 15074, 4222, 269, 901, 568, 513, 13085, 3134, 20293, 2861, 23287, 602, 568, 3501, 585, 1585, 3096, 269, 670, 8582, 9215, 2475, 292, 281, 12019, 20607, 532, 281, 2755, 23287, 8874, 616, 1869, 6632, 267, 2326, 1058, 581, 27433, 543, 9738, 896, 2604, 2394, 23287, 5036, 269, 634, 1292, 3742, 12146, 540, 519, 15441, 568, 7261, 8457, 659, 787, 17218, 269, 585, 21489, 543, 11647, 7816, 267, 543, 547, 8190, 2025, 22251, 269, 3794, 1132, 616, 851, 540, 513, 3677, 1920, 1572, 14398, 1161, 269, 1879, 538, 3346, 609, 1216, 621, 3029, 2178, 543, 7123, 7554, 269, 3794, 826, 666, 581, 13939, 689, 3165, 676, 8022, 519, 2960, 610, 7633, 538, 1216, 269, 2353, 538, 782, 267, 538, 782, 1250, 1296, 540, 1210, 12404, 15441, 543, 713, 3165, 15441, 568, 519, 1101, 585, 803, 267, 4986, 814, 2097, 6306, 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 ]
[ 5132, 538, 707, 2164, 563, 314, 876, 281, 4962, 281, 5655, 316, 1924, 476, 274, 269, 278, 590, 7950, 267, 596, 2461, 711, 607, 2386, 607, 596, 1131, 581, 585, 2161, 2947, 590, 7950, 269, 1656, 2947, 590, 7950, 568, 2965, 1018, 519, 6323, 2146, 1491, 547, 581, 607, 15502, 267, 1631, 621, 779, 2947, 590, 7950, 972, 779, 1152, 513, 835, 538, 476, 274, 269, 276, 2929, 4960, 602, 1018, 649, 2461, 11287, 568, 513, 838, 21874, 610, 606, 23139, 4466, 269, 1924, 1631, 649, 3494, 938, 6901, 610, 2164, 563, 314, 876, 281, 6187, 281, 6734, 316, 1924, 621, 3006, 3217, 513, 1279, 942, 547, 1628, 909, 891, 14449, 1287, 547, 1831, 18617, 602, 1018, 649, 2461, 11287, 568, 1483, 269, 1656, 865, 649, 4076, 1185, 713, 1871, 9361, 693, 476, 274, 269, 278, 590, 7950, 543, 713, 5767, 4466, 3217, 621, 547, 476, 275, 269, 273, 590, 7950, 269, 1924, 1631, 10416, 1018, 779, 5949, 568, 621, 4667, 899, 621, 779, 267, 621, 8604, 899, 621, 729, 8840, 476, 736, 1296, 3516, 543, 1631, 621, 4667, 5594, 811, 2693, 602, 621, 779, 8840, 1631, 563, 314, 876, 281, 6187, 281, 2767, 316, 1656, 594, 1224, 602, 789, 6383, 782, 713, 1239, 538, 476, 1001, 279, 543, 476, 1001, 280, 269, 1656, 713, 476, 275, 269, 273, 590, 7950, 1871, 568, 1759, 593, 267, 789, 4076, 6027, 476, 279, 5479, 18665, 976, 267, 543, 741, 5767, 2079, 13054, 1152, 476, 277, 260, 540, 1346, 269, 1924, 789, 4076, 1869, 3893, 6266, 540, 1239, 547, 5659, 267, 865, 789, 1522, 2965, 4137, 621, 856, 269, 1358, 1522, 2965, 267, 609, 713, 1239, 267, 649, 3580, 581, 2111, 547, 2097, 936, 519, 2947, 590, 7950, 12939, 543, 2161, 267, 19850, 267, 6323, 568, 711, 1175, 8840, 267, 855, 1100, 7745, 563, 314, 876, 281, 6187, 281, 7906, 316, 306, 2684, 773, 281, 1496, 876, 281, 6187, 281, 7906, 316, 594, 729, 2469, 547, 2161, 267, 1250, 1034, 2487, 3965, 540, 2947, 590, 7950, 1373, 1713, 729, 950, 789, 1336, 519, 11612, 7714, 536, 657, 517, 269, 9406, 286, 1924, 269, 11612, 7714, 536, 657, 517, 568, 1776, 3364, 538, 519, 3044, 2203, 269, 1656, 594, 1589, 621, 729, 827, 476, 1001, 273, 269, 594, 666, 1406, 3314, 267, 855, 789, 10416, 1336, 519, 11612, 7714, 536, 657, 517, 267, 649, 1185, 938, 2947, 590, 7950, 1871, 267, 799, 5921, 602, 607, 596, 1767, 267, 972, 729, 835, 538, 476, 274, 269, 276, 2929, 729, 519, 10171, 540, 4466, 713, 7301, 1064, 14476, 563, 314, 876, 281, 5881, 281, 1691, 316, 1358, 4682, 269, 28514, 269, 1924, 519, 11612, 7714, 18548, 517, 6818, 269, 1656, 865, 1631, 952, 649, 5734, 2947, 590, 7950, 609, 713, 16334, 517, 18811, 748, 6419, 4090, 267, 621, 1797, 602, 519, 3044, 2203, 568, 711, 1318, 538, 2474, 540, 602, 269, 1548, 3116, 1281, 621, 711, 1318, 827, 25272, 543, 786, 519, 7122, 12900, 888, 314, 876, 281, 5881, 281, 1789, 316, 6424, 281, 1496, 876, 281, 5881, 281, 1789, 316, 1656, 602, 779, 1018, 779, 3579, 827, 713, 267, 1318, 286, 20531, 621, 779, 711, 1175, 13347, 1154, 267, 899, 21575, 616, 711, 13347, 827, 713, 267, 789, 2461, 2965, 3833, 9599, 602, 621, 1522, 581, 7745, 267, 1317, 952, 519, 4603, 2501, 856, 513, 1114, 1259, 547, 1018, 519, 2203, 25221, 267, 621, 1797, 649, 666, 979, 1394, 883, 519, 2203, 609, 1483, 1239, 543, 973, 531, 1529, 622, 543, 1205, 547, 513, 811, 4909, 543, 811, 2953, 1620, 540, 875, 519, 7122, 1568, 563, 314, 876, 281, 5881, 281, 5392, 316, 1656, 602, 779, 1390, 563, 314, 876, 281, 5881, 281, 2004, 316, 306, 2684, 773, 281, 1496, 876, 281, 5881, 281, 2004, 316, 31453, 8904, 568, 1869, 711, 3238, 267, 855, 602, 779, 513, 1966, 585, 1776, 1554, 269, 594, 454, 314, 876, 281, 5881, 281, 4649, 316, 6424, 281, 1496, 876, 281, 5881, 281, 4649, 316, 602, 779, 513, 5634, 267, 602, 779, 513, 1114, 267, 602, 779, 1114, 3364, 269, 2334, 779, 1114, 982, 649, 2461, 1175, 6158, 827, 18665, 976, 454, 314, 876, 281, 5881, 281, 6795, 316, 20153, 773, 281, 1496, 876, 281, 5881, 281, 6795, 316, 1656, 865, 3025, 3251, 22934, 269, 772, 327, 267, 649, 3580, 1577, 596, 917, 950, 649, 5734, 2947, 590, 7950, 563, 314, 876, 281, 5400, 281, 6734, 316, 6424, 281, 1496, 876, 281, 5400, 281, 1321, 316, 3245, 519, 8840, 540, 6323, 547, 519, 21338, 540, 13265, 1200, 3429, 2853, 269, 6167, 14684, 2052, 828, 571, 11001, 267, 25562, 962, 1314, 2917, 543, 811, 4481, 27805, 1258, 6205, 267, 25562, 962, 1314, 2917, 267, 799, 814, 547, 581, 835, 540, 519, 3579, 652, 8956, 881, 338, 602, 596, 666, 723, 267, 1318, 3297, 9604, 4274, 543, 808, 2664, 26427, 27805, 1258, 6205, 737, 622, 962, 1314, 2917, 568, 1210, 30313, 2740, 19666, 6472, 547, 4862, 13265, 563, 314, 876, 281, 5400, 281, 4097, 316, 20153, 773, 281, 1496, 876, 281, 5400, 281, 4097, 316, 594, 8910, 899, 547, 1589, 540, 873, 607, 10002, 5966, 19666, 6472, 269, 594, 2328, 602, 1524, 593, 1250, 4062, 540, 1957, 269, 594, 1589, 649, 991, 547, 1689, 519, 1893, 5594, 267, 855, 9493, 1695, 267, 865, 454, 314, 876, 281, 5400, 281, 6078, 316, 6424, 281, 1496, 876, 281, 5400, 281, 6078, 316, 11613, 711, 4636, 563, 314, 876, 281, 5400, 281, 6246, 316, 20153, 773, 281, 1496, 876, 281, 5400, 281, 6246, 316, 23010, 269, 1924, 267, 649, 991, 547, 4862, 13265, 547, 1205, 873, 689, 533, 5417, 1442, 547, 533, 5417, 1442, 1317, 3006, 972, 779, 1426, 267, 649, 2322, 1426, 856, 538, 930, 533, 5417, 4169, 543, 789, 2461, 538, 513, 1114, 835, 267, 1696, 524, 2678, 320, 563, 314, 876, 281, 5400, 281, 2004, 316, 3719, 621, 7140, 856, 602, 938, 2757, 1200, 3429, 2409, 267, 799, 616, 1419, 1210, 1919, 899, 13265, 5243, 267, 2731, 2566, 519, 13265, 856, 538, 513, 1259, 602, 779, 6148, 513, 2370, 3787, 796, 11779, 269, 1656, 865, 267, 594, 1611, 267, 594, 917, 602, 972, 616, 2907, 930, 2477, 602, 723, 1044, 1210, 19025, 269, 1924, 938, 10002, 3205, 539, 19666, 6472, 267, 547, 23636, 13265, 1472, 267, 855, 789, 10093, 1406, 2965, 6743, 693, 519, 1198, 602, 519, 19025, 723, 593, 519, 13265, 3379, 547, 2161, 513, 13265, 2915, 610, 513, 27576, 610, 1945, 2147, 563, 314, 876, 281, 6021, 281, 1704, 316, 1924, 1018, 789, 1705, 267, 25272, 267, 799, 568, 1250, 5172, 3364, 568, 789, 1031, 513, 1875, 29554, 1505, 547, 2268, 519, 2566, 4810, 676, 519, 13265, 269, 1656, 602, 729, 513, 2269, 5529, 593, 2295, 2557, 21697, 547, 891, 2370, 1352, 10134, 625, 269, 1656, 1287, 789, 6836, 547, 20473, 873, 1472, 543, 789, 6027, 519, 2566, 610, 519, 2799, 2295, 2557, 563, 314, 876, 281, 6021, 281, 4097, 316, 1924, 1175, 513, 1906, 267, 15977, 5013, 585, 3025, 945, 779, 2469, 547, 2119, 713, 693, 1753, 269, 1924, 596, 2461, 13417, 5962, 13265, 1058, 723, 513, 16889, 2295, 2557, 540, 827, 476, 3199, 20054, 829, 8792, 563, 314, 876, 281, 6021, 281, 4510, 316, 6424, 281, 1496, 876, 281, 6021, 281, 4510, 316, 962, 788, 269, 3502, 602, 4744, 25630, 689, 513, 1268, 789, 2461, 2186, 540, 519, 1482, 2450, 1004, 269, 1924, 454, 314, 876, 281, 6021, 281, 5392, 316, 10199, 513, 2370, 3787, 2362, 267, 855, 454, 314, 876, 281, 6021, 281, 2004, 316, 20153, 773, 281, 1496, 876, 281, 6021, 281, 2004, 316, 23010, 269, 28791, 596, 2461, 513, 2706, 19002, 543, 621, 779, 513, 2370, 3787, 2539, 267, 855, 865, 707, 18942, 13265, 267, 6148, 269, 594, 1810, 1406, 917, 267, 476, 2412, 547, 476, 2568, 267, 594, 4898, 952, 602, 779, 513, 3364, 563, 314, 876, 281, 6021, 281, 6872, 316, 772, 332, 267, 543, 1287, 950, 596, 2461, 25525, 3585, 6117, 707, 13265, 267, 649, 2461, 3168, 693, 1945, 899, 476, 14321, 20054, 829, 8792, 267, 855, 476, 26783, 267, 602, 568, 938, 12939, 269, 1924, 649, 666, 1406, 723, 811, 982, 476, 26783, 20054, 829, 8792, 2073, 1317, 602, 779, 519, 5021, 11807, 2566, 538, 519, 4527, 540, 2324, 2915, 454, 314, 876, 281, 1015, 281, 1626, 316, 6424, 281, 1496, 876, 281, 1015, 281, 1626, 316, 543, 596, 666, 2995, 602, 602, 779, 2566, 267, 1317, 267, 27229, 952, 789, 2461, 4881, 607, 3728, 607, 789, 616, 267, 950, 789, 2461, 1373, 9141, 2182, 267, 1287, 596, 666, 1294, 519, 267, 952, 621, 779, 689, 899, 476, 5611, 568, 327, 267, 909, 547, 476, 7742, 568, 327, 267, 1287, 602, 3017, 538, 2295, 2557, 568, 18177, 547, 519, 3662, 1373, 13347, 543, 14129, 827, 1018, 779, 8345, 563, 314, 876, 281, 1015, 281, 4029, 316, 5221, 621, 729, 513, 2915, 543, 621, 779, 27229, 513, 23246, 607, 538, 741, 4064, 269, 1656, 789, 2461, 899, 267, 594, 1810, 1406, 899, 713, 269, 594, 3580, 979, 936, 972, 267, 855, 594, 6557, 711, 6126, 827, 621, 563, 314, 876, 281, 1015, 281, 4343, 316, 20153, 773, 281, 1496, 876, 281, 1015, 281, 4343, 316, 23010, 267, 4010, 269, 1656, 865, 1018, 789, 1705, 568, 789, 3576, 476, 1321, 546, 528, 11985, 13265, 269, 1656, 789, 1705, 476, 1240, 1449, 8255, 543, 789, 7368, 1142, 540, 891, 1919, 1614, 2053, 936, 513, 1079, 3018, 1239, 4015, 1974, 269, 1284, 991, 547, 917, 6266, 540, 1114, 1919, 269, 1656, 865, 972, 616, 1114, 4485, 547, 1210, 891, 19025, 563, 314, 876, 281, 1015, 281, 7871, 316, 1924, 789, 1185, 873, 4730, 4992, 3006, 269, 1656, 865, 519, 1114, 4992, 602, 789, 1185, 519, 19025, 4730, 267, 594, 2648, 729, 20473, 1152, 267, 10332, 521, 790, 333, 267, 8473, 7502, 773, 267, 5179, 321, 833, 267, 543, 1287, 2575, 269, 1809, 594, 1810, 1406, 917, 952, 596, 1223, 1265, 4376, 267, 30602, 269, 594, 1223, 711, 1265, 25727, 827, 519, 2575, 602, 519, 19025, 5129, 543, 594, 1131, 2648, 547, 1589, 621, 729, 1397, 26107, 563, 314, 876, 281, 1556, 281, 1015, 316, 6424, 281, 1496, 876, 281, 1556, 281, 1015, 316, 602, 1131, 267, 9493, 1695, 269, 2107, 594, 1810, 1406, 917, 267, 2196, 4816, 2196, 454, 314, 876, 281, 1556, 281, 1691, 316, 20153, 773, 281, 1496, 876, 281, 1556, 281, 1691, 316, 7937, 267, 594, 454, 314, 876, 281, 1556, 281, 1428, 316, 6424, 281, 1496, 876, 281, 1556, 281, 1428, 316, 982, 16069, 519, 2012, 540, 2648, 267, 585, 454, 314, 876, 281, 1556, 281, 1704, 316, 20153, 773, 281, 1496, 876, 281, 1556, 281, 1704, 316, 2334, 779, 3020, 269, 23010, 269, 28514, 269, 1924, 789, 2461, 9493, 1695, 267, 873, 539, 2575, 269, 1358, 849, 4268, 519, 4463, 543, 3432, 540, 519, 19025, 267, 543, 849, 519, 23603, 532, 12485, 269, 1924, 596, 1185, 707, 5929, 267, 2786, 543, 1377, 1935, 547, 519, 13265, 269, 1284, 849, 1185, 1990, 580, 345, 698, 543, 2220, 334, 14563, 267, 543, 1287, 789, 849, 4957, 519, 26600, 2450, 607, 1134, 563, 314, 876, 281, 1556, 281, 3451, 316, 1656, 1018, 789, 1336, 729, 602, 519, 8445, 2295, 2557, 269, 1924, 789, 530, 950, 789, 941, 7893, 519, 2295, 3928, 607, 1134, 267, 789, 14201, 1406, 3328, 267, 789, 1223, 2268, 31302, 2295, 2557, 540, 519, 13265, 269, 1656, 865, 2429, 602, 20473, 4152, 267, 519, 8445, 2295, 3928, 941, 9846, 1447, 982, 519, 8445, 538, 10293, 2295, 3433, 950, 789, 946, 519, 5243, 543, 519, 5179, 321, 10105, 547, 1256, 1847, 519, 13265, 883, 519, 4152, 26750, 269, 1924, 972, 941, 2706, 14129, 856, 538, 1373, 6410, 883, 891, 4152, 26750, 269, 1358, 1577, 873, 9350, 1524, 543, 1287, 789, 946, 891, 19025, 543, 621, 729, 2141, 2539, 563, 314, 876, 281, 1321, 281, 4905, 316, 21837, 281, 1496, 876, 281, 1321, 281, 4905, 316, 23010, 267, 621, 779, 11141, 269, 27355, 1406, 621, 286, 1656, 899, 789, 4682, 883, 1483, 1469, 269, 1924, 789, 1705, 1079, 6786, 609, 519, 1079, 8301, 6786, 269, 1358, 1705, 606, 10332, 5365, 543, 513, 5397, 6786, 269, 1924, 835, 1175, 547, 1577, 873, 917, 602, 519, 20473, 729, 972, 269, 1656, 950, 602, 5949, 1282, 519, 5397, 543, 789, 6836, 1169, 1114, 4999, 543, 15151, 519, 1655, 4999, 729, 513, 521, 790, 333, 693, 519, 10332, 543, 1287, 513, 2915, 13626, 1282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4263, 20393, 540, 744, 10895, 568, 513, 7524, 3460, 1498, 519, 3047, 781, 12084, 543, 513, 12905, 267, 1271, 1521, 1047, 593, 1018, 1590, 581, 2944, 547, 4688, 873, 563, 6826, 2246, 3814, 569, 11609, 267, 14095, 609, 7851, 543, 12222, 267, 543, 5627, 909, 3562, 15082, 1239, 593, 519, 4567, 540, 13155, 7286, 2249, 267, 25304, 540, 744, 10895, 568, 513, 11812, 540, 3047, 781, 7524, 543, 25713, 15564, 25378, 12084, 543, 15798, 543, 606, 14849, 1289, 547, 2962, 547, 2149, 835, 540, 938, 10785, 1034, 4105, 2200, 269, 589, 13357, 568, 4730, 856, 9944, 519, 2627, 540, 519, 10600, 4703, 540, 7286, 7297, 267, 835, 602, 3459, 1279, 1354, 519, 476, 1001, 271, 3282, 21383, 538, 519, 13323, 540, 6792, 269, 4014, 1082, 2835, 723, 8268, 519, 2825, 2042, 1373, 5185, 593, 2244, 267, 25304, 540, 744, 10895, 568, 519, 1101, 835, 585, 513, 2489, 5304, 602, 12116, 875, 7068, 540, 519, 7286, 1604, 616, 267, 952, 4376, 267, 811, 7925, 982, 741, 2244, 2861, 13413, 269, 27975, 569, 11609, 609, 10875, 10344, 540, 519, 1034, 4277, 12748, 2127, 267, 1519, 912, 1892, 7909, 14768, 543, 2916, 454, 1892, 21744, 13272, 6050, 454, 1892, 23427, 543, 8701, 7297, 454, 1892, 700, 16558, 538, 519, 5836, 454, 1892, 4563, 543, 595, 5684, 1014, 7256, 454, 1892, 13812, 543, 7226, 6212, 454, 1892, 1656, 1082, 811, 2336, 2791, 786, 581, 5189, 547, 519, 546, 9579, 1782, 4763, 540, 7068, 602, 9468, 519, 12084, 543, 15798, 267, 543, 547, 519, 2470, 540, 519, 2042, 789, 3068, 269, 7981, 2934, 1445, 593, 519, 6937, 547, 1880, 2831, 267, 2371, 267, 543, 9249, 267, 607, 1134, 607, 593, 1808, 2152, 899, 936, 1922, 5109, 267, 2518, 8337, 267, 543, 5533, 269, 634, 1433, 849, 2882, 1967, 2984, 267, 7840, 585, 1018, 666, 581, 2944, 547, 8190, 5836, 8134, 267, 543, 513, 2347, 678, 1495, 1144, 540, 519, 1034, 13155, 2249, 540, 7286, 1272, 269, 10812, 3047, 781, 12084, 543, 3605, 782, 602, 972, 568, 547, 8190, 538, 25304, 540, 744, 10895, 563, 11990, 10787, 526, 517, 568, 606, 18368, 12021, 2278, 540, 3078, 543, 3015, 2257, 2835, 585, 1453, 543, 4079, 269, 3571, 2835, 723, 1044, 2110, 4289, 539, 585, 3875, 17758, 543, 723, 4421, 6634, 540, 12215, 5001, 267, 18445, 741, 21064, 9029, 563, 303, 3326, 1081, 1299, 6937, 547, 519, 1604, 0, 5141, 846, 20453, 543, 796, 28534, 8396, 454, 310, 6135, 1782, 568, 835, 540, 519, 9510, 910, 7654, 519, 9510, 910, 13006, 19831, 1148, 267, 543, 18374, 1169, 2528, 814, 2919, 922, 1378, 1062, 269, 10738, 2342, 4805, 267, 972, 616, 1896, 6237, 7648, 269, 898, 568, 849, 519, 1034, 15859, 633, 1259, 540, 8165, 282, 1256, 2831, 543, 1507, 1453, 22617, 548, 1510, 1022, 6044, 563, 9199, 3431, 267, 32702, 1131, 581, 835, 540, 519, 1101, 1919, 602, 513, 2875, 1131, 581, 8036, 538, 693, 513, 535, 9760, 1153, 282, 621, 2488, 513, 4396, 3490, 2390, 799, 547, 1628, 3388, 3116, 269, 2755, 713, 15007, 814, 1044, 1031, 2429, 1686, 267, 2221, 649, 4043, 547, 1376, 856, 609, 9604, 2866, 1101, 267, 543, 1287, 1847, 5196, 32702, 607, 519, 19995, 3587, 811, 26224, 547, 3350, 543, 5386, 1852, 269, 901, 568, 585, 4128, 540, 3106, 607, 1454, 607, 4376, 3116, 267, 2094, 1082, 32702, 2553, 723, 519, 1761, 585, 3614, 1005, 1312, 519, 17076, 543, 519, 3461, 952, 13401, 27235, 610, 609, 4057, 1852, 563, 1103, 519, 2707, 1570, 267, 5830, 1118, 621, 2312, 602, 32702, 585, 7328, 610, 9913, 568, 1114, 689, 8396, 32702, 269, 4107, 540, 519, 5830, 3274, 1118, 513, 4063, 540, 713, 543, 1847, 593, 267, 607, 741, 1152, 1445, 538, 519, 1257, 568, 8396, 32702, 269, 2368, 1866, 267, 899, 30080, 619, 342, 12245, 267, 25058, 513, 2370, 811, 2230, 547, 32702, 585, 9913, 267, 1519, 513, 29737, 32702, 3014, 1141, 834, 3080, 6763, 538, 519, 8559, 543, 949, 711, 4894, 1010, 1850, 689, 621, 543, 1010, 18545, 1590, 5577, 593, 835, 1850, 269, 13518, 1148, 2501, 540, 713, 543, 621, 568, 16168, 547, 4585, 8487, 7197, 8396, 32702, 2553, 3254, 538, 3864, 8165, 8261, 338, 4043, 547, 6813, 25001, 610, 25437, 282, 1793, 2459, 532, 519, 18545, 883, 519, 2666, 267, 610, 22392, 741, 1560, 538, 971, 513, 1259, 607, 547, 1799, 984, 559, 1125, 873, 269, 901, 568, 3730, 538, 1022, 2186, 540, 8165, 267, 855, 568, 3833, 1898, 538, 6186, 10696, 8396, 282, 3478, 998, 6186, 712, 609, 513, 18156, 568, 513, 2352, 23072, 896, 3339, 6381, 267, 855, 2899, 519, 18545, 568, 1799, 984, 28895, 621, 568, 1454, 4443, 547, 1265, 4617, 9634, 609, 513, 546, 16925, 269, 2107, 267, 607, 513, 3226, 32336, 344, 4063, 538, 1546, 328, 8644, 29800, 5267, 267, 3196, 873, 547, 10505, 543, 2328, 513, 26030, 4484, 547, 741, 1920, 563, 17954, 6545, 616, 849, 6719, 538, 519, 2707, 12319, 269, 2986, 1576, 649, 798, 711, 2259, 891, 547, 519, 9096, 282, 713, 568, 1141, 1852, 568, 1271, 267, 607, 621, 2636, 519, 3461, 547, 7148, 856, 2899, 519, 4480, 568, 5265, 3964, 855, 1354, 1022, 4890, 3441, 666, 2049, 563, 4462, 28534, 16716, 616, 4686, 538, 3140, 535, 9760, 1521, 2478, 267, 855, 713, 1281, 711, 1611, 789, 941, 711, 1634, 610, 1031, 269, 8466, 8261, 338, 2099, 513, 2027, 2213, 1560, 540, 2553, 267, 711, 519, 3003, 9165, 540, 7262, 19831, 6575, 269, 7102, 2553, 799, 11478, 3544, 602, 616, 540, 2027, 5314, 941, 19890, 711, 12873, 998, 713, 5420, 563, 763, 1034, 1455, 16716, 13269, 538, 519, 12319, 616, 737, 6506, 267, 799, 616, 1031, 538, 14966, 609, 18374, 1169, 2186, 540, 18156, 269, 1280, 1034, 851, 267, 789, 616, 5701, 607, 6281, 9604, 799, 616, 1031, 547, 1711, 3845, 610, 606, 6679, 267, 2864, 982, 2014, 1463, 3441, 676, 2933, 269, 918, 6506, 616, 3622, 1031, 1152, 689, 513, 12622, 267, 1141, 1312, 25881, 262, 9604, 616, 17303, 856, 540, 1404, 563, 5141, 2216, 1922, 626, 5309, 2583, 616, 711, 4122, 6719, 538, 8165, 8261, 338, 267, 4352, 8100, 547, 873, 666, 581, 1336, 538, 824, 12319, 269, 4256, 9000, 538, 8165, 8261, 338, 568, 4440, 1813, 547, 519, 4220, 3238, 538, 18530, 513, 24362, 538, 606, 11439, 8396, 3510, 269, 589, 1434, 24362, 666, 6157, 1439, 513, 4339, 267, 855, 3478, 2673, 2614, 547, 5838, 602, 3501, 22545, 13050, 1131, 581, 5906, 2614, 1510, 28809, 538, 519, 4539, 540, 3478, 519, 10880, 4636, 269, 4595, 14323, 9072, 585, 513, 24362, 616, 1906, 267, 938, 3069, 568, 602, 519, 5830, 540, 519, 535, 9760, 8261, 338, 8359, 711, 547, 3746, 1047, 873, 2094, 972, 616, 2484, 1082, 267, 2484, 811, 3730, 3681, 2139, 563, 15411, 19942, 16716, 267, 593, 519, 824, 1688, 267, 616, 3833, 1455, 269, 6145, 737, 6506, 267, 789, 616, 711, 5497, 547, 2014, 1713, 3441, 540, 2933, 269, 5502, 267, 741, 1292, 3483, 568, 547, 2014, 606, 18545, 547, 2490, 267, 610, 811, 4122, 547, 1683, 606, 7127, 547, 32702, 3845, 269, 7046, 19942, 16716, 616, 4122, 6719, 538, 546, 16925, 20237, 267, 1141, 513, 30908, 610, 513, 14299, 666, 28570, 610, 23248, 15381, 606, 30429, 781, 6186, 543, 1291, 547, 513, 10544, 267, 543, 538, 6186, 10696, 8396, 267, 1141, 1793, 2355, 547, 519, 2212, 543, 8405, 1858, 666, 1683, 7127, 547, 513, 10544, 563, 2414, 9034, 1047, 267, 796, 28534, 16716, 723, 606, 1271, 1747, 538, 11439, 8396, 269, 2755, 789, 616, 711, 2693, 547, 2673, 606, 5385, 593, 741, 1378, 267, 789, 666, 581, 2629, 538, 519, 2359, 540, 3845, 538, 513, 4339, 563, 5141, 846, 10116, 8396, 609, 513, 18156, 454, 7712, 1034, 540, 938, 2259, 25856, 1472, 796, 1301, 10696, 8396, 267, 649, 3622, 2119, 547, 2226, 513, 3845, 1141, 519, 18156, 666, 581, 1031, 3927, 269, 1717, 9073, 666, 4755, 267, 610, 835, 1268, 949, 3442, 547, 2673, 519, 3845, 269, 769, 891, 3871, 267, 621, 568, 1271, 547, 917, 1018, 547, 798, 865, 602, 519, 18156, 3788, 513, 3730, 1907, 2864, 982, 4742, 513, 12042, 8896, 563, 30509, 689, 1210, 16716, 610, 14656, 519, 3845, 2417, 883, 32702, 2039, 267, 972, 616, 3833, 513, 1906, 3681, 693, 713, 2039, 269, 3245, 5309, 4221, 609, 519, 533, 2174, 601, 540, 519, 18156, 267, 547, 554, 8504, 609, 519, 3444, 9856, 267, 1169, 851, 540, 519, 18156, 666, 581, 3730, 1934, 269, 21009, 1606, 342, 1800, 568, 849, 606, 4781, 267, 3927, 1210, 519, 18156, 899, 513, 5234, 282, 713, 10741, 909, 513, 1158, 540, 25437, 547, 581, 8268, 269, 2755, 713, 568, 1034, 6093, 540, 519, 1279, 1873, 867, 267, 621, 568, 14323, 609, 1022, 1279, 267, 2786, 16405, 563, 7197, 1219, 1878, 1996, 519, 546, 16925, 8263, 602, 519, 1219, 2658, 6238, 856, 796, 28534, 269, 1452, 1219, 1878, 2154, 3501, 12557, 267, 543, 2356, 1439, 909, 538, 513, 9376, 543, 771, 1301, 267, 610, 513, 2736, 593, 519, 6186, 8066, 519, 546, 16925, 269, 1411, 666, 1224, 811, 827, 546, 16925, 1219, 1878, 593, 938, 546, 16925, 2985, 11065, 871, 547, 9604, 0, 289, 650, 22735, 3465, 19409, 1107, 19461, 5729, 454, 763, 24164, 540, 9291, 22735, 3459, 593, 5130, 476, 736, 267, 476, 1960, 274, 543, 8694, 593, 5130, 476, 736, 267, 476, 1220, 272, 563, 5141, 15586, 267, 513, 19391, 520, 267, 3576, 5604, 1739, 513, 23801, 11802, 936, 17044, 1651, 3518, 550, 5518, 6723, 670, 269, 654, 269, 17312, 543, 18763, 1870, 2006, 17664, 3131, 582, 538, 519, 476, 1960, 273, 16232, 9550, 563, 19177, 1296, 2663, 267, 538, 519, 476, 1960, 277, 9550, 267, 646, 17204, 3131, 582, 543, 17044, 7585, 1684, 548, 547, 3094, 556, 3887, 3005, 563, 3891, 729, 16309, 676, 17044, 6723, 654, 269, 17312, 267, 945, 4465, 519, 476, 1220, 271, 16232, 9550, 563, 5141, 15586, 15110, 2101, 6578, 22907, 2451, 936, 689, 519, 31144, 543, 17312, 4218, 5928, 282, 16642, 1032, 476, 1960, 273, 1185, 2938, 513, 1269, 23310, 5479, 17211, 269, 769, 1931, 547, 2759, 519, 17211, 267, 645, 757, 523, 267, 7754, 24297, 267, 543, 11676, 514, 24016, 22735, 547, 11654, 1312, 3454, 4679, 543, 7836, 11912, 563, 5278, 540, 22735, 779, 9666, 619, 849, 5156, 602, 513, 1445, 593, 5969, 519, 17211, 1131, 581, 20833, 6225, 269, 13536, 621, 1131, 5732, 948, 24273, 8774, 741, 9277, 968, 339, 1314, 543, 6108, 892, 10639, 563, 12507, 2195, 883, 1010, 1101, 2165, 267, 646, 9896, 519, 15345, 333, 756, 639, 20907, 26532, 16624, 2920, 540, 476, 1960, 274, 267, 799, 6659, 9204, 543, 1305, 519, 3942, 585, 2104, 6578, 1147, 680, 4926, 563, 2691, 22735, 3576, 5604, 267, 5111, 8938, 2600, 540, 1977, 4079, 26218, 1072, 6142, 269, 667, 338, 3145, 519, 1249, 602, 519, 2136, 2276, 6170, 811, 593, 1072, 1416, 982, 824, 2919, 2477, 563, 763, 7245, 4646, 513, 4305, 3196, 267, 3366, 676, 3689, 15248, 10830, 776, 22735, 267, 602, 729, 9901, 609, 2870, 513, 1544, 602, 1131, 1683, 585, 8471, 1072, 1416, 563, 5475, 10888, 519, 8574, 540, 28267, 6938, 1700, 11152, 543, 519, 3731, 2305, 540, 19364, 10499, 288, 538, 476, 1960, 274, 267, 22735, 1500, 1072, 1416, 1010, 2101, 1858, 540, 15424, 1445, 538, 476, 1960, 275, 563, 11847, 3016, 753, 19618, 1996, 1010, 1544, 267, 543, 1010, 1378, 5428, 5258, 269, 17652, 22735, 4956, 547, 10205, 1072, 1416, 6963, 538, 5181, 476, 1960, 275, 563, 289, 650, 22735, 3465, 19409, 1107, 19004, 454, 5141, 15586, 1095, 3660, 936, 513, 968, 20112, 559, 4169, 4346, 2223, 513, 1974, 540, 1970, 10637, 543, 1970, 13864, 563, 7628, 519, 476, 1960, 271, 338, 267, 519, 22337, 13643, 11633, 19105, 22712, 745, 9482, 267, 543, 519, 2671, 540, 3885, 609, 9541, 538, 13632, 9782, 689, 476, 3953, 2600, 538, 476, 2735, 280, 547, 476, 7906, 2600, 538, 476, 1220, 272, 563, 1103, 2492, 8635, 849, 8057, 267, 607, 519, 29659, 10820, 12236, 513, 2362, 8167, 540, 519, 2698, 4747, 563, 15239, 11383, 267, 11667, 7622, 4747, 267, 14661, 585, 10637, 547, 476, 1220, 271, 9489, 267, 8057, 689, 1269, 4343, 267, 26783, 538, 476, 1960, 276, 547, 1269, 5655, 267, 14681, 538, 476, 1220, 271, 269, 1635, 476, 1220, 271, 267, 519, 13864, 2557, 1185, 17379, 547, 2185, 2600, 267, 1247, 519, 6710, 2557, 1185, 17379, 547, 476, 1556, 269, 274, 2600, 563, 289, 650, 22735, 3465, 19409, 1107, 4033, 1234, 13257, 454, 5141, 15586, 1095, 3660, 936, 513, 1974, 540, 632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 812, 18141, 2469, 476, 17734, 280, 736, 1626, 910, 16253, 589, 686, 8729, 585, 782, 519, 1390, 2093, 256, 6884, 596, 1745, 899, 596, 2461, 12758, 538, 513, 678, 583, 609, 12125, 594, 3226, 17329, 519, 5750, 609, 2592, 4586, 9802, 476, 4905, 267, 476, 1001, 276, 6440, 7053, 267, 6986, 8709, 18123, 20008, 6448, 630, 15886, 8472, 729, 5833, 676, 519, 18287, 1588, 540, 519, 14735, 634, 28176, 2095, 5750, 585, 519, 6051, 540, 966, 476, 273, 744, 476, 276, 689, 519, 7345, 518, 2699, 16095, 568, 4843, 538, 8431, 476, 1015, 8281, 2433, 8281, 2407, 20695, 3239, 282, 8431, 476, 1015, 589, 2095, 6516, 585, 519, 6051, 540, 1164, 29881, 966, 476, 273, 744, 476, 276, 689, 2699, 16095, 998, 3327, 23455, 1632, 543, 964, 26975, 8905, 454, 763, 1101, 7041, 540, 13339, 270, 13339, 3638, 23212, 538, 606, 3167, 9095, 19460, 729, 2073, 540, 12669, 17790, 3446, 13339, 267, 849, 1572, 13339, 4496, 538, 519, 2872, 1317, 540, 922, 5920, 543, 711, 1317, 540, 922, 2168, 3601, 267, 616, 3812, 543, 4421, 538, 519, 1158, 2344, 901, 568, 513, 5266, 1507, 2179, 3379, 547, 519, 1617, 574, 11669, 11973, 4586, 763, 6069, 620, 29837, 1201, 10320, 4927, 581, 2966, 547, 3132, 3911, 601, 614, 6103, 1325, 29837, 543, 7500, 693, 513, 4390, 540, 476, 274, 2929, 570, 303, 312, 538, 1614, 12535, 1142, 540, 476, 1015, 2929, 570, 303, 312, 267, 1519, 2556, 13326, 6703, 585, 20848, 267, 13726, 924, 543, 5989, 5741, 20895, 645, 32706, 17719, 1262, 476, 3445, 28985, 570, 303, 312, 540, 645, 32706, 31377, 289, 18559, 924, 543, 513, 561, 29837, 26297, 2843, 504, 16648, 634, 13557, 540, 1158, 536, 32706, 2504, 568, 1031, 267, 4061, 267, 607, 3049, 585, 519, 5478, 540, 620, 29837, 3842, 513, 6632, 3114, 1309, 755, 545, 682, 778, 1184, 1634, 607, 519, 15505, 27333, 814, 8810, 536, 32706, 14425, 540, 476, 7742, 24398, 540, 536, 32706, 7626, 602, 568, 21443, 762, 547, 1930, 8486, 10868, 630, 11328, 325, 1314, 14086, 1299, 5450, 1023, 7797, 267, 476, 1220, 273, 321, 994, 306, 3107, 1401, 574, 910, 5510, 1359, 5450, 718, 17790, 6103, 645, 32706, 267, 13340, 924, 267, 7162, 361, 5936, 487, 24691, 11695, 372, 14098, 485, 2633, 509, 538, 28769, 7171, 541, 267, 30899, 520, 5192, 1655, 3902, 543, 1224, 827, 2754, 5192, 3346, 3877, 543, 2232, 347, 9517, 281, 476, 14028, 6795, 275, 16318, 10463, 454, 23044, 15873, 2986, 7108, 14409, 1280, 8866, 645, 32706, 4393, 2095, 6656, 910, 1185, 17274, 2866, 524, 1156, 333, 2967, 289, 32706, 4393, 2095, 5750, 289, 32706, 18689, 2747, 1184, 2095, 5750, 562, 12342, 4401, 7626, 18689, 2747, 1184, 1326, 3902, 1934, 3046, 924, 8860, 2030, 2095, 5750, 910, 4154, 7626, 8302, 289, 32706, 547, 620, 29837, 1184, 536, 9707, 2095, 6656, 910, 267, 713, 25888, 3821, 3095, 6257, 713, 1184, 1360, 1134, 267, 1519, 454, 763, 8798, 2488, 513, 12669, 17790, 1505, 585, 25935, 8709, 18123, 20008, 1410, 728, 689, 1970, 17263, 6149, 5755, 8709, 18123, 610, 634, 1505, 13408, 519, 1739, 3268, 540, 281, 8840, 543, 8860, 519, 6149, 5755, 8709, 18123, 22714, 267, 21249, 519, 6149, 5755, 8709, 18123, 7626, 5536, 547, 513, 21432, 9325, 3446, 543, 513, 5386, 9325, 3446, 267, 8860, 543, 21249, 519, 21432, 5536, 547, 519, 21432, 9325, 3446, 267, 4946, 4586, 23044, 12125, 585, 10451, 1164, 3902, 9344, 540, 25697, 22223, 10036, 689, 3345, 8109, 3148, 6713, 585, 8851, 540, 476, 2004, 260, 11849, 689, 3345, 8109, 5755, 18328, 2207, 296, 22647, 569, 7358, 730, 27990, 630, 4629, 309, 264, 547, 7500, 693, 513, 3178, 540, 476, 1220, 544, 609, 19957, 10512, 942, 454, 19177, 8820, 7678, 2627, 3631, 616, 2919, 585, 519, 1239, 540, 476, 3393, 543, 476, 3607, 16004, 9475, 689, 5087, 543, 5045, 7161, 267, 6606, 267, 593, 1325, 273, 302, 274, 543, 13961, 302, 273, 547, 30431, 622, 519, 10851, 540, 12669, 17790, 3446, 4586, 289, 32706, 12074, 616, 3262, 5001, 6140, 9648, 538, 9341, 610, 31210, 4525, 476, 279, 645, 32706, 5599, 540, 1312, 12669, 17790, 543, 1875, 31475, 718, 17790, 3446, 22714, 568, 26922, 547, 519, 5599, 540, 824, 4853, 6886, 28611, 519, 18689, 2747, 610, 2126, 540, 536, 32706, 568, 3908, 547, 11493, 20146, 1324, 11067, 543, 15018, 540, 519, 19020, 7626, 476, 274, 454, 13202, 476, 866, 267, 476, 1708, 272, 6440, 1325, 26891, 568, 519, 1034, 10731, 4496, 538, 519, 3618, 779, 12933, 543, 568, 513, 25499, 540, 1082, 6886, 1717, 267, 519, 1570, 799, 568, 5207, 538, 11956, 543, 1034, 1863, 689, 1843, 542, 762, 23606, 568, 536, 32706, 799, 267, 4061, 267, 568, 18374, 519, 1152, 2707, 540, 519, 4496, 896, 1459, 1184, 645, 32706, 568, 519, 2489, 2012, 2016, 547, 519, 19872, 27911, 540, 11956, 454, 13051, 1030, 545, 2747, 540, 645, 32706, 4095, 13163, 540, 631, 1149, 7626, 676, 2241, 8261, 19703, 267, 18570, 267, 9584, 543, 11067, 568, 711, 1316, 27809, 267, 769, 971, 2665, 267, 7344, 18689, 2747, 540, 519, 476, 2004, 332, 536, 32706, 939, 558, 454, 14257, 476, 6187, 267, 476, 1001, 277, 6440, 5245, 568, 519, 1158, 779, 4102, 16073, 540, 536, 32706, 267, 609, 519, 5354, 1031, 547, 3132, 620, 29837, 585, 519, 26459, 2872, 6348, 31475, 718, 17790, 3156, 971, 607, 18195, 1559, 267, 605, 653, 1218, 267, 2679, 2326, 543, 31534, 1118, 909, 1472, 476, 1015, 260, 540, 536, 32706, 779, 1439, 3096, 267, 2705, 267, 543, 1082, 8241, 19379, 616, 3168, 693, 2081, 547, 4129, 1518, 454, 20181, 6103, 11635, 20957, 14409, 10046, 15873, 1306, 513, 3056, 2518, 10672, 540, 11493, 3937, 267, 17819, 3937, 28504, 7675, 3937, 28504, 11538, 3937, 543, 536, 686, 638, 8291, 3937, 3092, 649, 2709, 4359, 267, 7787, 3435, 585, 1022, 2450, 3146, 9134, 4170, 267, 1519, 26755, 267, 14919, 267, 8860, 2504, 543, 2347, 2030, 1544, 454, 6503, 5750, 540, 8302, 2095, 5750, 540, 1764, 8302, 910, 859, 29292, 7124, 10046, 5750, 540, 1764, 8302, 10046, 5750, 540, 1764, 8302, 4239, 476, 1428, 267, 476, 1001, 274, 28540, 25934, 6713, 634, 6151, 2326, 616, 796, 2903, 539, 676, 18114, 883, 519, 5577, 704, 1635, 31954, 28680, 267, 6151, 2326, 616, 5781, 10480, 883, 12729, 26836, 19783, 799, 1223, 2569, 476, 8517, 7825, 10007, 883, 4114, 5611, 7825, 634, 10300, 742, 31944, 2472, 689, 26836, 9197, 2313, 1326, 4586, 289, 32706, 568, 513, 24348, 4224, 609, 513, 5266, 1164, 26459, 1543, 898, 568, 519, 1158, 781, 1292, 2707, 540, 26459, 543, 7086, 1756, 289, 32706, 5161, 6140, 540, 519, 26459, 6886, 575, 756, 2125, 924, 630, 2704, 263, 15121, 264, 476, 274, 1070, 1630, 12317, 332, 924, 630, 24556, 25575, 302, 263, 15121, 4297, 543, 1019, 5684, 648, 630, 10382, 25575, 302, 263, 15121, 24270, 6404, 609, 519, 1079, 4401, 27911, 979, 996, 924, 630, 8722, 302, 263, 15121, 4297, 543, 688, 14670, 924, 630, 8722, 476, 273, 744, 476, 274, 1070, 519, 26459, 10036, 7777, 25697, 565, 9548, 630, 2704, 476, 273, 13961, 476, 273, 744, 476, 276, 630, 15121, 264, 476, 275, 264, 543, 1507, 4586, 289, 32706, 4249, 6952, 5346, 9521, 519, 620, 29837, 2344, 267, 519, 536, 32706, 2872, 568, 2943, 547, 3914, 513, 13618, 593, 14499, 6127, 267, 3564, 1279, 3856, 267, 6378, 17376, 823, 11731, 4329, 25318, 538, 519, 26459, 3761, 5832, 267, 5544, 2344, 12531, 616, 6094, 543, 1869, 2992, 513, 12102, 540, 519, 6455, 1433, 602, 568, 711, 9676, 676, 7471, 2238, 610, 1279, 3856, 4586, 274, 281, 5450, 718, 17790, 6103, 645, 32706, 11780, 5983, 4751, 338, 476, 4029, 645, 32706, 623, 878, 532, 476, 3953, 19866, 12367, 476, 3451, 8892, 12367, 25590, 552, 521, 17387, 594, 544, 17328, 524, 1729, 325, 967, 324, 561, 340, 678, 575, 476, 275, 281, 6348, 5336, 564, 718, 17790, 6103, 645, 32706, 476, 6078, 11906, 3446, 10186, 553, 476, 5655, 6348, 17038, 6058, 553, 3446, 536, 14513, 2572, 476, 6246, 623, 878, 532, 540, 1875, 31475, 718, 17790, 536, 32706, 543, 10186, 553, 476, 4510, 4676, 847, 800, 3747, 9472, 476, 276, 281, 6206, 645, 32706, 14086, 4586, 13202, 476, 1839, 267, 476, 1001, 275, 6440, 645, 32706, 7577, 540, 24053, 3570, 5549, 630, 6195, 22835, 264, 4810, 513, 2887, 538, 3977, 540, 476, 3066, 9077, 610, 476, 31003, 267, 4037, 280, 339, 267, 1813, 547, 4101, 5599, 2175, 2429, 519, 1032, 7460, 22835, 3812, 476, 5952, 272, 267, 4375, 272, 339, 540, 536, 32706, 267, 799, 15538, 540, 476, 14341, 267, 15996, 339, 540, 3114, 14079, 536, 32706, 543, 476, 6924, 280, 267, 14065, 339, 540, 12669, 17790, 17263, 536, 32706, 454, 11947, 2775, 476, 277, 645, 32706, 4676, 1456, 568, 25115, 14409, 645, 32706, 17975, 538, 519, 2475, 568, 12913, 998, 519, 946, 540, 519, 7345, 518, 1184, 267, 538, 799, 536, 32706, 7626, 630, 11069, 675, 19872, 11956, 12547, 264, 568, 2007, 6479, 609, 513, 13671, 1309, 755, 545, 630, 338, 18754, 28355, 264, 3070, 896, 11506, 2837, 543, 2604, 2175, 454, 321, 32706, 11493, 1184, 1496, 8681, 30679, 316, 645, 32706, 20957, 6987, 3555, 6713, 6182, 5407, 6713, 9521, 824, 3490, 4496, 22714, 267, 536, 32706, 7626, 1281, 711, 2154, 1950, 10868, 4393, 267, 1317, 1034, 540, 519, 24776, 536, 32706, 568, 540, 606, 11807, 3446, 610, 666, 581, 4824, 630, 17754, 1030, 545, 7007, 264, 536, 454, 6503, 5750, 540, 14793, 6776, 17975, 540, 4012, 534, 3150, 4154, 7626, 17975, 1184, 2095, 5750, 910, 524, 338, 323, 10975, 777, 4154, 7626, 17975, 1184, 2095, 5750, 910, 267, 21019, 14086, 6987, 3555, 6713, 10046, 15873, 910, 25115, 4239, 476, 2420, 267, 476, 1001, 276, 901, 2095, 24577, 1500, 540, 12227, 24069, 6941, 610, 20475, 538, 2241, 855, 2312, 2474, 519, 1900, 267, 4154, 5599, 1184, 1205, 3902, 2095, 5750, 540, 4154, 7626, 5599, 2095, 5750, 540, 4154, 7626, 5599, 1547, 0, 291, 1112, 2209, 1222, 5288, 22640, 454, 763, 22436, 543, 32539, 540, 12389, 7201, 513, 22640, 543, 513, 667, 1112, 2209, 1222, 454, 763, 22436, 543, 32539, 540, 12389, 7201, 513, 22640, 543, 513, 667, 1112, 2209, 1222, 269, 1635, 1530, 321, 454, 1103, 713, 1557, 267, 594, 786, 581, 12570, 519, 5383, 543, 11393, 540, 513, 9111, 543, 513, 28983, 1222, 269, 589, 9111, 568, 513, 2797, 1062, 602, 2636, 519, 1004, 547, 723, 513, 2161, 538, 875, 513, 2197, 568, 2196, 269, 589, 28983, 1222, 568, 513, 2797, 1062, 602, 12034, 513, 2197, 2196, 676, 835, 1268, 630, 320, 9598, 1807, 264, 543, 519, 1004, 798, 711, 1205, 513, 2161, 269, 10738, 513, 28983, 1222, 267, 972, 616, 1079, 1292, 2417, 2797, 19237, 282, 891, 616, 26812, 1143, 543, 4004, 1143, 269, 26812, 1143, 568, 513, 2797, 16809, 2196, 676, 513, 9598, 1807, 267, 1141, 1152, 835, 2797, 5428, 568, 4847, 547, 2291, 543, 519, 2486, 616, 7363, 1360, 3084, 2065, 269, 4004, 1143, 568, 513, 1062, 540, 2229, 3366, 676, 513, 9598, 1807, 267, 1141, 3388, 568, 3838, 8449, 543, 972, 568, 1100, 4357, 3959, 269, 8307, 835, 2797, 5428, 568, 4847, 547, 2291, 269, 769, 713, 2653, 594, 786, 581, 9236, 782, 891, 2797, 1949, 543, 9236, 741, 11393, 543, 5383, 267, 676, 6236, 2789, 2188, 563, 288, 9111, 568, 1454, 811, 12666, 982, 513, 28983, 1222, 269, 1280, 1383, 267, 538, 513, 11180, 1062, 630, 7945, 607, 519, 2136, 8003, 264, 12836, 616, 5645, 856, 269, 1452, 12836, 3313, 945, 8060, 519, 2197, 585, 519, 2062, 5408, 762, 2104, 269, 5272, 12504, 4991, 513, 8917, 538, 513, 9111, 282, 1169, 8917, 568, 3160, 543, 3025, 568, 13886, 547, 1747, 835, 269, 634, 16018, 616, 5645, 856, 538, 513, 5150, 543, 2922, 1604, 267, 865, 519, 17037, 616, 711, 7142, 547, 8917, 585, 1022, 11134, 269, 901, 568, 606, 5413, 1317, 621, 11151, 2797, 3401, 689, 20808, 1932, 1454, 1379, 543, 1818, 3983, 3664, 269, 24641, 267, 538, 513, 28983, 1222, 972, 568, 1100, 11180, 1062, 269, 769, 26812, 626, 543, 19797, 2477, 267, 972, 616, 568, 1152, 835, 2797, 5428, 4847, 547, 2291, 2443, 4061, 267, 519, 1004, 798, 711, 1205, 513, 3903, 269, 1403, 824, 2797, 15712, 8451, 267, 789, 616, 1419, 31345, 609, 5208, 610, 24811, 269, 769, 930, 28983, 4721, 267, 12836, 616, 1419, 5645, 856, 2443, 2705, 267, 789, 616, 1419, 6551, 3022, 547, 12797, 835, 2797, 5428, 267, 609, 17037, 6849, 5208, 543, 14882, 269, 901, 568, 513, 2942, 1317, 835, 1268, 610, 513, 1895, 723, 1932, 1454, 1379, 267, 666, 6551 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1557, 568, 10855, 2864, 982, 1095, 20696, 269, 1284, 1616, 547, 2709, 513, 5943, 585, 513, 4928, 3635, 602, 16929, 666, 3082, 547, 18312, 3871, 1759, 593, 5551, 6364, 269, 1284, 849, 1616, 547, 6536, 606, 1620, 540, 519, 16221, 2081, 538, 799, 3308, 2592, 3046, 14141, 938, 2283, 4850, 543, 849, 547, 2709, 513, 2565, 7828, 998, 799, 547, 14377, 782, 2686, 6835, 267, 711, 1175, 1346, 16876, 547, 519, 4108, 269, 589, 3730, 1907, 547, 2015, 971, 14485, 568, 547, 1589, 540, 873, 607, 834, 32558, 2065, 13819, 1496, 6518, 316, 1463, 519, 3007, 257, 630, 289, 584, 651, 476, 3393, 1040, 1452, 13819, 616, 11913, 12086, 649, 4020, 543, 998, 799, 649, 13498, 4641, 269, 18712, 267, 538, 891, 8738, 651, 534, 2474, 1281, 711, 2097, 547, 721, 2898, 282, 3079, 1893, 607, 513, 834, 22131, 26382, 2962, 257, 568, 513, 834, 10915, 3005, 540, 4641, 267, 30385, 316, 513, 5542, 540, 4641, 1496, 907, 1547, 3910, 543, 513, 1219, 3005, 540, 4641, 257, 630, 3393, 1040, 22339, 23924, 1404, 593, 713, 267, 1210, 11913, 2592, 547, 1463, 938, 3007, 543, 865, 1445, 593, 1346, 3344, 789, 6999, 547, 4183, 269, 13639, 19684, 3091, 513, 8086, 267, 513, 5542, 267, 607, 1134, 607, 513, 1219, 3005, 540, 519, 2470, 540, 13137, 538, 1931, 547, 2744, 1489, 543, 10136, 269, 1717, 267, 621, 568, 519, 5030, 1995, 540, 519, 8396, 1218, 267, 9676, 538, 1699, 543, 6932, 5339, 5931, 602, 786, 6038, 1450, 585, 3152, 1620, 540, 543, 513, 811, 5483, 2565, 2079, 540, 938, 1699, 2528, 540, 2112, 563, 1607, 1557, 6799, 513, 5943, 585, 632, 24554, 532, 3308, 2592, 543, 5339, 5931, 547, 948, 1053, 1732, 1174, 741, 2528, 269, 4635, 1806, 689, 3105, 5481, 14324, 676, 2112, 267, 649, 666, 3362, 1294, 875, 2592, 26203, 1857, 6644, 543, 6462, 1880, 19237, 269, 3414, 713, 7828, 267, 1053, 666, 632, 24554, 741, 1378, 2923, 1606, 18260, 4529, 543, 13498, 875, 1004, 616, 1419, 6766, 998, 9583, 21030, 6681, 2592, 269, 700, 9722, 519, 632, 18586, 540, 2592, 547, 5339, 2079, 6799, 513, 4570, 2497, 585, 1167, 518, 940, 875, 5931, 543, 2592, 960, 538, 13447, 547, 9160, 938, 15520, 607, 8282, 7158, 267, 610, 711, 269, 4495, 649, 666, 1294, 875, 891, 21849, 3252, 7500, 1369, 513, 3140, 2796, 267, 649, 666, 946, 519, 4401, 545, 5104, 868, 777, 657, 1431, 547, 22113, 875, 19237, 616, 2324, 547, 3337, 9844, 2221, 563, 16920, 6421, 267, 589, 696, 6421, 267, 543, 1306, 2869, 725, 540, 1977, 15272, 269, 6754, 681, 269, 590, 871, 9116, 267, 543, 14732, 631, 2948, 267, 32308, 269, 9730, 593, 15272, 15510, 543, 13639, 5589, 8816, 618, 269, 6115, 9823, 281, 2817, 6298, 12562, 4964, 267, 476, 1220, 274, 563, 289, 565, 614, 267, 20289, 6424, 267, 543, 9400, 6182, 639, 514, 269, 3816, 27467, 281, 4197, 1715, 9012, 269, 11062, 267, 10790, 281, 20037, 267, 476, 1960, 280, 563, 29662, 5803, 267, 681, 10967, 339, 269, 834, 8248, 864, 1701, 17826, 540, 519, 4279, 2782, 281, 1323, 16262, 1108, 269, 661, 1091, 269, 18067, 545, 670, 756, 828, 323, 543, 3627, 2201, 687, 269, 1715, 3840, 281, 853, 269, 9410, 781, 267, 476, 2735, 277, 269, 476, 6246, 563, 289, 584, 651, 267, 26366, 996, 269, 5678, 607, 13507, 545, 11059, 281, 10749, 593, 5020, 267, 9085, 267, 543, 6396, 269, 20588, 281, 772, 540, 4993, 623, 267, 476, 3422, 277, 563, 24066, 15070, 13639, 31055, 543, 5589, 745, 1746, 281, 7869, 543, 6396, 1108, 269, 6754, 681, 2529, 871, 9116, 267, 543, 14732, 590, 269, 26302, 267, 32308, 269, 9730, 593, 15272, 15510, 543, 13639, 5589, 8816, 618, 269, 6115, 9823, 281, 2817, 6298, 12562, 4964, 267, 476, 1220, 275, 563, 292, 30591, 269, 26573, 269, 11553, 256, 589, 4317, 3778, 540, 1975, 514, 269, 12924, 281, 9978, 7734, 267, 476, 1960, 277, 563, 294, 1066, 325, 749, 267, 30486, 269, 834, 4504, 334, 11135, 1701, 17826, 540, 519, 4279, 2782, 281, 1323, 16262, 1108, 269, 661, 1091, 269, 18067, 545, 670, 756, 828, 323, 543, 3627, 2201, 687, 269, 1715, 3840, 281, 853, 269, 9410, 781, 267, 476, 2735, 277, 269, 476, 1911, 563, 295, 7701, 267, 8349, 2106, 269, 834, 7072, 547, 3487, 12866, 1701, 10439, 31898, 7595, 538, 513, 7913, 2622, 281, 589, 11879, 11905, 1504, 269, 3798, 269, 8349, 2106, 7435, 320, 269, 11785, 281, 16170, 5112, 853, 269, 9410, 781, 267, 476, 1220, 275, 269, 476, 4391, 278, 268, 23884, 563, 302, 30591, 267, 12070, 15728, 269, 834, 291, 592, 576, 1696, 5463, 28262, 6480, 1701, 17826, 540, 519, 4279, 2782, 281, 1323, 16262, 1108, 269, 661, 1091, 269, 18067, 545, 670, 756, 828, 323, 543, 3627, 2201, 687, 269, 1715, 3840, 281, 853, 269, 9410, 781, 267, 476, 2735, 277, 269, 476, 15221, 563, 734, 269, 834, 1805, 9792, 20051, 1701, 17826, 540, 519, 4279, 2782, 281, 1323, 16262, 1108, 269, 661, 1091, 269, 18067, 545, 670, 756, 828, 323, 543, 3627, 2201, 687, 269, 1715, 3840, 281, 853, 269, 9410, 781, 267, 476, 2735, 277, 269, 476, 13679, 563, 305, 690, 4752, 267, 594, 761, 269, 834, 6597, 3539, 10439, 9177, 1701, 10439, 31898, 7595, 538, 513, 7913, 2622, 281, 589, 11879, 11905, 1504, 269, 3798, 269, 8349, 2106, 7435, 320, 269, 11785, 281, 16170, 5112, 853, 269, 9410, 781, 267, 476, 1220, 275, 269, 476, 4343, 272, 268, 4375, 275, 563, 26170, 541, 267, 3794, 3317, 269, 22718, 28064, 31157, 281, 5494, 6847, 267, 31898, 7595, 267, 543, 4317, 21126, 269, 23897, 663, 744, 6545, 267, 11404, 281, 590, 720, 267, 476, 1960, 279, 563, 307, 6483, 645, 2812, 532, 267, 6341, 20279, 3557, 2160, 454, 10111, 2651, 674, 31867, 517, 715, 731, 821, 267, 6341, 20279, 3557, 2160, 454, 289, 2812, 532, 267, 1912, 6185, 1421, 568, 606, 13930, 7548, 540, 2296, 4171, 1382, 4690, 616, 538, 3703, 3332, 543, 519, 1158, 10617, 269, 715, 731, 821, 267, 1912, 6185, 1421, 568, 606, 13930, 7548, 538, 20116, 543, 3318, 2792, 563, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 17138, 1323, 2254, 566, 10573, 20123, 12734, 2069, 2008, 347, 12041, 10573, 301, 731, 821, 267, 2961, 2651, 674, 31867, 517, 2008, 347, 26397, 10573, 10907, 27854, 16510, 22588, 569, 2008, 347, 14630, 10573, 13356, 476, 2420, 267, 476, 1220, 276, 2008, 347, 28095, 9137, 10573, 15430, 16291, 4116, 19815, 2438, 4978, 543, 4529, 8198, 347, 9202, 9137, 10573, 4462, 1746, 1344, 7924, 1299, 4116, 2069, 269, 347, 0, 14483, 12983, 538, 13221, 454, 19688, 476, 2764, 267, 476, 1001, 276, 454, 7804, 269, 5261, 10732, 454, 14483, 12983, 538, 13221, 454, 2026, 519, 2528, 10953, 543, 2413, 3278, 267, 1880, 2152, 8451, 538, 14621, 547, 10764, 269, 1879, 2591, 8451, 267, 621, 568, 1271, 547, 1353, 543, 1174, 875, 1142, 4984, 786, 5706, 610, 1689, 547, 519, 2604, 269, 901, 1957, 786, 4983, 519, 10486, 540, 13221, 547, 824, 10764, 547, 1265, 1455, 4798, 610, 4162, 269, 3973, 267, 1114, 2081, 519, 13221, 568, 14775, 547, 519, 4657, 2115, 540, 519, 2413, 1158, 786, 581, 6045, 269, 7053, 267, 2021, 779, 5107, 538, 13221, 543, 875, 789, 723, 4957, 786, 581, 8268, 269, 5871, 18567, 454, 2026, 13221, 12090, 689, 519, 9699, 3148, 267, 621, 8843, 1082, 4798, 543, 4978, 609, 31881, 11297, 267, 27454, 1143, 267, 543, 18420, 269, 634, 1101, 540, 891, 4978, 568, 519, 4783, 540, 32193, 267, 849, 1634, 607, 521, 4461, 4673, 267, 519, 3661, 538, 737, 12609, 602, 7506, 835, 779, 32193, 269, 2755, 13221, 1281, 711, 3494, 538, 519, 4527, 540, 606, 32161, 9997, 267, 13221, 1281, 4001, 602, 835, 779, 7209, 543, 9759, 568, 6450, 1941, 883, 519, 1985, 1272, 547, 3136, 519, 2619, 2509, 562, 597, 341, 3570, 543, 9101, 689, 519, 796, 2056, 4783, 540, 556, 4532, 28271, 630, 300, 3326, 1195, 267, 476, 1001, 274, 1040, 25745, 2719, 689, 519, 3661, 602, 835, 949, 581, 6450, 1941, 883, 1114, 1272, 3029, 267, 4470, 593, 835, 779, 737, 12609, 267, 568, 606, 9450, 29611, 2509, 31362, 1776, 1272, 1106, 610, 13259, 15501, 320, 269, 2755, 13221, 1281, 711, 979, 519, 3665, 602, 930, 13794, 540, 27454, 1143, 723, 1044, 1634, 547, 267, 13221, 1281, 5000, 513, 20757, 2732, 1851, 922, 13794, 267, 543, 24115, 2471, 1022, 3924, 602, 2164, 538, 519, 2800, 540, 1776, 2713, 1373, 269, 4746, 267, 1813, 547, 13221, 779, 7269, 883, 3624, 543, 3567, 267, 922, 3310, 593, 519, 2413, 2853, 540, 667, 7776, 1143, 267, 25230, 22675, 543, 1744, 20041, 666, 581, 5693, 2938, 269, 13221, 666, 581, 2938, 607, 519, 10952, 10752, 540, 513, 2582, 812, 602, 723, 6738, 883, 513, 4984, 267, 2147, 547, 25230, 22675, 269, 901, 2470, 814, 4847, 1312, 25230, 22675, 543, 13221, 519, 8112, 547, 5283, 323, 609, 267, 3310, 267, 543, 1071, 7721, 626, 609, 824, 4529, 543, 10764, 269, 901, 2483, 27066, 281, 11197, 2023, 267, 715, 269, 630, 1001, 272, 267, 11354, 1040, 769, 519, 3723, 25074, 540, 519, 17700, 286, 6468, 543, 519, 13938, 20130, 520, 3279, 2619, 538, 634, 9545, 3385, 13221, 269, 4750, 540, 12339, 21442, 5525, 538, 15215, 267, 476, 2767, 263, 272, 1070, 476, 3451, 268, 7906, 267, 476, 15704, 269, 8158, 689, 5291, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 1015, 269, 29574, 280, 10768, 325, 655, 626, 644, 516, 2993, 269, 2767, 269, 272, 269, 3451, 454, 289, 3291, 3873, 15187, 269, 630, 1220, 279, 1040, 13221, 543, 2021, 281, 19024, 540, 2021, 693, 519, 942, 540, 519, 17700, 269, 8158, 689, 5291, 2517, 321, 3291, 7315, 564, 14492, 27160, 19543, 270, 20931, 270, 6570, 11258, 454, 291, 1168, 541, 24652, 267, 700, 269, 590, 269, 630, 1960, 275, 1040, 634, 2990, 540, 2021, 538, 14609, 11297, 269, 8158, 689, 5291, 2517, 4178, 28482, 806, 560, 334, 1231, 697, 3820, 270, 12221, 270, 2246, 4243, 7933, 1168, 541, 24652, 11320, 31856, 18231, 11258, 454, 300, 3326, 1195, 267, 631, 269, 966, 269, 630, 1001, 274, 1040, 5438, 1329, 1424, 519, 1158, 779, 10764, 281, 28673, 267, 4161, 267, 543, 1689, 630, 277, 628, 1196, 12175, 1715, 3840, 267, 12924, 281, 17755, 3863, 6953, 650, 563, 302, 1412, 289, 31151, 267, 645, 269, 630, 1001, 276, 1040, 13221, 543, 3023, 1143, 281, 2052, 972, 581, 14609, 7290, 4008, 7862, 286, 8158, 689, 5291, 2517, 321, 3291, 11297, 269, 12671, 2593, 270, 617, 270, 2041, 5765, 629, 3291, 7290, 21669, 270, 16303, 1143, 11258, 454, 4537, 1177, 267, 631, 269, 630, 1960, 275, 1040, 32425, 622, 21481, 281, 6468, 538, 21915, 878, 14609, 11297, 269, 23134, 267, 27359, 281, 23134, 2160, 4964, 563, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 289, 9531, 322, 6483, 568, 2523, 17149, 538, 14540, 1141, 9086, 4249, 606, 1271, 1909, 538, 12419, 513, 5812, 3977, 269, 9751, 538, 2816, 4170, 543, 1983, 269, 1677, 581, 5812, 609, 519, 32286, 11860, 656, 1014, 1095, 6269, 657, 1431, 267, 3079, 267, 519, 7475, 2933, 723, 547, 581, 22885, 540, 607, 1100, 1447, 16148, 563, 305, 1430, 982, 606, 30739, 1875, 268, 5586, 527, 1493, 610, 8772, 1826, 540, 28735, 267, 1934, 267, 9111, 2501, 2066, 607, 606, 5393, 4686, 15410, 540, 513, 886, 4310, 543, 12250, 1242, 689, 540, 1347, 29487, 26117, 269, 901, 568, 849, 1634, 607, 519, 17531, 29386, 3069, 540, 2359, 267, 17531, 29386, 2359, 3069, 610, 519, 7665, 32544, 3069, 563, 1103, 513, 17531, 29386, 13539, 267, 3025, 568, 5701, 3160, 543, 519, 6498, 540, 11668, 568, 5693, 4330, 585, 1142, 9441, 269, 1452, 3741, 543, 4162, 941, 4922, 4607, 676, 1312, 519, 1857, 543, 4357, 9922, 267, 543, 519, 1360, 9238, 540, 513, 17531, 29386, 1062, 616, 2965, 1759, 593, 891, 3670, 3741, 6069, 676, 7665, 32544, 538, 1010, 3069, 540, 29904, 6483, 563, 17457, 2043, 616, 1641, 1881, 543, 1843, 1881, 782, 693, 2899, 269, 2311, 824, 2053, 267, 32544, 4667, 547, 3494, 602, 9111, 568, 3274, 1875, 268, 5586, 527, 1493, 267, 2864, 982, 1776, 1826, 540, 16048, 28735, 267, 1317, 621, 29954, 2231, 547, 606, 3961, 1063, 519, 14610, 543, 519, 12199, 1775, 563, 13480, 619, 267, 13646, 543, 4559, 1058, 581, 11008, 1227, 5258, 1759, 593, 519, 2298, 543, 29286, 540, 5520, 269, 4634, 538, 519, 6154, 756, 4026, 17372, 540, 6518, 25793, 14414, 1010, 28929, 1990, 7002, 609, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26872, 24771, 3962, 6263, 267, 6263, 267, 6263, 851, 540, 21756, 609, 513, 23421, 1862, 1923, 8361, 834, 295, 1678, 257, 26826, 630, 4350, 275, 268, 1708, 272, 264, 1715, 518, 19314, 1607, 8142, 814, 1044, 2895, 1882, 543, 568, 6806, 547, 1007, 8292, 0, 21080, 2657, 538, 7330, 1107, 1377, 476, 274, 454, 288, 5063, 3370, 1353, 21845, 9830, 540, 5386, 28634, 2339, 5533, 2066, 519, 18626, 2475, 689, 476, 1960, 280, 2394, 476, 1001, 276, 563, 26581, 787, 267, 1379, 2371, 543, 6517, 3132, 891, 5393, 1507, 5536, 540, 5533, 269, 1358, 616, 476, 1789, 2053, 4130, 982, 519, 8700, 540, 513, 1480, 4552, 267, 543, 789, 666, 581, 31067, 2620, 883, 519, 9641, 267, 799, 666, 1291, 547, 513, 3099, 540, 1072, 2042, 563, 763, 1353, 1336, 602, 713, 1826, 540, 5533, 17379, 2094, 476, 1960, 280, 267, 855, 519, 3173, 2161, 602, 1256, 693, 2157, 2630, 519, 1699, 3044, 267, 2011, 5533, 5532, 547, 606, 6059, 476, 1789, 267, 1822, 7972, 269, 2290, 540, 519, 1353, 779, 1291, 4589, 1767, 602, 16715, 519, 3044, 2630, 519, 1699, 1377, 1131, 2693, 2087, 1004, 779, 1072, 563, 2791, 666, 4585, 519, 3381, 3377, 2539, 593, 713, 2985, 563, 1432, 798, 596, 1589, 827, 713, 3377, 888, 4041, 27073, 476, 4968, 271, 20796, 9169, 609, 21832, 306, 5442, 700, 14110, 30600, 454, 21158, 538, 20946, 568, 2966, 547, 4001, 596, 476, 4968, 271, 1913, 538, 2296, 269, 7490, 1246, 519, 5528, 454, 1692, 547, 2087, 707, 2296, 609, 5240, 538, 20946, 912, 268, 1684, 519, 1449, 693, 4530, 19932, 563, 268, 3619, 547, 707, 1377, 269, 3619, 547, 5426, 476, 272, 952, 596, 917, 476, 272, 268, 1911, 271, 1913, 269, 3619, 547, 5426, 476, 273, 952, 596, 917, 476, 1911, 271, 268, 1220, 271, 1913, 269, 3619, 547, 5426, 476, 274, 952, 596, 917, 476, 1220, 271, 268, 4968, 271, 1913, 563, 268, 3367, 1079, 3377, 4930, 1169, 1554, 563, 268, 3367, 519, 3377, 4930, 689, 519, 1554, 1354, 543, 2638, 952, 596, 3314, 782, 1007, 1913, 563, 268, 19415, 547, 519, 3377, 689, 2221, 543, 1224, 519, 1257, 693, 519, 1482, 942, 563, 268, 19415, 547, 519, 3377, 689, 2221, 1510, 2542, 519, 1257, 563, 268, 8382, 519, 2243, 896, 2221, 779, 3377, 543, 2328, 519, 2626, 538, 519, 8292, 269, 0, 2791, 666, 1265, 513, 2603, 540, 1806, 593, 875, 547, 1628, 513, 476, 274, 323, 17002, 689, 15072, 593, 3115, 305, 777, 3896, 267, 855, 649, 849, 1616, 547, 4766, 930, 540, 811, 1898, 3268, 538, 1931, 547, 2285, 606, 2949, 1620, 540, 1018, 547, 2503, 952, 596, 2731, 6430, 547, 1118, 707, 1378, 476, 274, 323, 17002, 269, 7102, 31957, 545, 24230, 1088, 18647, 18789, 14173, 269, 1411, 949, 1265, 811, 1344, 827, 1114, 2010, 540, 476, 274, 323, 23252, 609, 7778, 875, 789, 960, 1739, 713, 3095, 1107, 5291, 2517, 274, 323, 2745, 532, 5228, 2675, 337, 2255, 2593, 270, 21720, 270, 18196, 6361, 268, 274, 323, 17376, 26262, 11399, 268, 274, 323, 268, 2745, 532, 14482, 1013, 3098, 27492, 1613, 270, 2290, 18789, 476, 274, 323, 17002, 609, 10257, 3902, 666, 581, 1336, 593, 12213, 22129, 279, 2593, 269, 715, 4932, 288, 476, 1704, 2848, 3899, 5179, 1535, 476, 4962, 715, 657, 269, 3509, 3302, 999, 6133, 971, 20164, 609, 968, 324, 6470, 3562, 23829, 14517, 892, 5528, 3769, 269, 17497, 972, 568, 513, 2462, 3099, 540, 476, 274, 323, 23252, 538, 519, 5769, 602, 2907, 19632, 543, 616, 4712, 547, 1820, 1318, 1310, 596, 10002, 871, 873, 689, 513, 4216, 267, 540, 1576, 596, 849, 991, 547, 4444, 513, 476, 274, 323, 17002, 27129, 585, 621, 269, 476, 272, 264, 16259, 543, 2759, 519, 11308, 2694, 607, 9138, 676, 519, 21957, 12400, 2630, 269, 634, 3028, 786, 5612, 3802, 596, 998, 513, 3992, 547, 948, 596, 1451, 2596, 12445, 267, 4553, 2560, 5269, 2659, 13574, 476, 274, 291, 2398, 5793, 585, 7201, 1269, 2568, 4635, 1234, 7094, 539, 18329, 22020, 609, 26189, 1963, 5071, 5437, 476, 277, 267, 476, 1001, 275, 676, 1546, 3630, 774, 574, 6996, 577, 476, 274, 291, 11010, 1562, 476, 274, 291, 24614, 2560, 24614, 538, 21311, 281, 12706, 2659, 13574, 476, 274, 291, 2398, 5793, 568, 707, 24891, 883, 519, 3078, 1158, 540, 2123, 21753, 269, 6178, 560, 2131, 476, 272, 269, 4037, 7825, 623, 6369, 8606, 3512, 6519, 585, 476, 274, 291, 11010, 1562, 267, 670, 619, 30750, 1656, 476, 274, 291, 7010, 10558, 476, 274, 291, 28688, 24614, 1401, 3031, 527, 267, 11511, 334, 16954, 267, 519, 1158, 779, 1101, 476, 274, 291, 8228, 4050, 609, 3579, 13504, 267, 2052, 5500, 321, 739, 476, 274, 291, 7179, 539, 12829, 1677, 903, 593, 918, 1157, 560, 6621, 269, 7102, 31957, 545, 2560, 1411, 949, 849, 2638, 891, 6402, 281, 1703, 616, 513, 2603, 540, 4025, 1141, 596, 666, 676, 873, 269, 649, 616, 2679, 476, 274, 323, 17002, 585, 938, 3803, 1032, 1788, 543, 649, 1616, 948, 543, 3391, 875, 547, 3710, 543, 1141, 547, 6718, 519, 2694, 540, 476, 274, 323, 17002, 269, 8281, 3115, 564, 1512, 21118, 630, 274, 323, 8228, 543, 14253, 532, 3301, 264, 1934, 269, 476, 273, 264, 5623, 19045, 543, 13088, 1592, 476, 274, 264, 4635, 519, 1079, 2848, 13827, 267, 1665, 20387, 8559, 7158, 593, 835, 1283, 6676, 2282, 1142, 7944, 269, 1809, 952, 596, 1616, 606, 20798, 476, 274, 291, 17002, 543, 723, 930, 512, 1074, 1359, 1983, 267, 596, 1058, 1491, 513, 1413, 693, 891, 18789, 476, 274, 291, 17002, 3785, 269, 898, 10416, 1281, 519, 1739, 1919, 281, 2636, 596, 547, 2070, 543, 7369, 476, 274, 323, 21370, 3615, 267, 607, 1134, 607, 17838, 519, 476, 274, 323, 2592, 883, 5528, 602, 476, 274, 323, 17002, 666, 1174, 269, 634, 2856, 540, 476, 274, 291, 8228, 568, 4241, 282, 1305, 513, 17002, 2469, 538, 513, 1857, 1747, 543, 621, 781, 2386, 547, 3533, 5531, 513, 15624, 269, 1635, 1325, 770, 1515, 20388, 902, 476, 736, 4873, 476, 1001, 277, 269, 20798, 476, 274, 291, 23252, 616, 513, 4686, 9742, 8197, 269, 4258, 1653, 23252, 971, 607, 519, 2473, 312, 313, 616, 1434, 855, 3908, 547, 519, 2326, 543, 2298, 602, 789, 666, 1820, 267, 543, 10464, 20164, 689, 519, 4950, 3622, 946, 10464, 2694, 543, 621, 781, 1419, 2352, 547, 1205, 873, 547, 1820, 9846, 269, 667, 1014, 928, 267, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 8490, 513, 476, 274, 291, 17002, 689, 15072, 269, 594, 6557, 689, 15242, 1775, 8910, 899, 547, 4444, 621, 1369, 476, 1911, 271, 8297, 701, 525, 263, 1428, 259, 264, 5213, 1405, 7340, 547, 11690, 707, 1379, 3761, 10260, 883, 519, 23094, 1631, 269, 2311, 519, 1439, 972, 568, 513, 1592, 540, 930, 6402, 1141, 596, 666, 1265, 811, 1344, 827, 875, 547, 1628, 707, 1378, 476, 274, 323, 17002, 689, 15072, 281, 4746, 4585, 513, 3381, 689, 5484, 1261, 1188, 538, 799, 646, 4267, 593, 930, 476, 274, 323, 8228, 1644, 2055, 269, 4495, 596, 723, 3893, 707, 476, 274, 323, 1820, 18789, 6539, 543, 6074, 519, 1374, 596, 1223, 979, 6619, 543, 1376, 519, 1034, 4241, 543, 942, 10438, 851, 1107, 1628, 707, 1378, 476, 274, 323, 17002, 269, 20111, 3002, 5523, 1535, 476, 6860, 715, 657, 269, 2353, 519, 476, 274, 291, 3631, 666, 581, 22434, 3842, 4179, 2517, 326, 603, 889, 2593, 15828, 332, 663, 270, 14888, 312, 268, 274, 291, 6261, 337, 5793, 6874, 583, 3645, 269, 1703, 616, 1114, 5686, 540, 674, 13697, 22077, 19699, 476, 274, 291, 23252, 267, 519, 1034, 2442, 543, 519, 1034, 5227, 585, 513, 18789, 19444, 568, 513, 31951, 476, 274, 291, 17002, 269, 11162, 909, 3615, 676, 5347, 532, 543, 28976, 269, 1403, 596, 616, 971, 27423, 630, 4385, 15754, 2299, 1369, 519, 2146, 607, 1684, 268, 2005, 268, 7312, 1345, 268, 619, 1070, 1934, 779, 513, 3391, 547, 519, 3268, 596, 786, 991, 547, 1491, 547, 1118, 707, 1378, 476, 274, 291, 17002, 6539, 689, 15072, 269, 6524, 649, 1205, 883, 519, 6491, 1399, 3766, 761, 1399, 540, 971, 606, 23072, 267, 1577, 779, 2911, 827, 519, 1079, 1292, 2081, 538, 799, 596, 666, 13948, 1628, 707, 1378, 476, 274, 291, 17002, 281, 1403, 713, 568, 707, 1101, 17002, 543, 707, 476, 274, 291, 8228, 1995, 568, 3908, 267, 649, 4363, 596, 6718, 513, 6539, 269, 6333, 519, 1079, 1034, 1455, 674, 13697, 1315, 674, 19699, 1374, 2010, 547, 3442, 689, 281, 18647, 282, 31951, 282, 18647, 23252, 269, 2142, 5423, 585, 19492, 20439, 17334, 543, 513, 2603, 540, 1187, 269, 634, 968, 1440, 5793, 892, 602, 596, 3513, 1628, 689, 713, 1433, 568, 513, 2123, 5958, 1807, 5827, 540, 2870, 1507, 2694, 543, 824, 3615, 689, 12772, 540, 25183, 5068, 269, 5269, 2724, 9513, 476, 274, 291, 3631, 610, 2671, 873, 609, 519, 476, 274, 291, 2146, 585, 1863, 269, 1775, 1616, 547, 1118, 513, 1804, 2450, 476, 274, 323, 17002, 476, 1911, 271, 6515, 1535, 476, 1911, 271, 6515, 1535, 476, 1911, 271, 6515, 267, 1022, 1808, 851, 2838, 610, 1482, 851, 607, 1507, 17002, 2838, 1547, 2560, 681, 10102, 476, 272, 269, 275, 17120, 4604, 1535, 476, 4905, 715, 657, 269, 19850, 2073, 594, 993, 689, 3127, 543, 594, 991, 948, 543, 18973, 547, 4020, 476, 274, 323, 17002, 585, 1250, 3803, 1032, 1788, 1547, 7490, 29295, 519, 2985, 543, 2119, 1586, 269, 1809, 596, 1223, 267, 2705, 267, 32006, 720, 2694, 267, 543, 1022, 2694, 596, 1522, 991, 547, 6718, 267, 1223, 5492, 24312, 1942, 1472, 476, 1911, 271, 268, 1220, 271, 8297, 701, 525, 952, 596, 3406, 1472, 2614, 269, 15379, 22020, 22490, 269, 2422, 519, 476, 274, 291, 2480, 534, 813, 547, 11571, 3054, 538, 2407, 2681, 269, 634, 5413, 540, 519, 17002, 568, 602, 621, 4991, 782, 519, 2694, 596, 991, 547, 1305, 909, 1007, 23252, 269, 898, 568, 1175, 585, 707, 4704, 7064, 269, 3220, 650, 4410, 9475, 1210, 476, 278, 270, 5038, 538, 16590, 3787, 269, 3143, 835, 602, 1775, 993, 3222, 540, 723, 1031, 519, 20382, 593, 1283, 540, 519, 4604, 547, 1118, 519, 17002, 543, 3079, 4444, 1945, 3116, 547, 1921, 547, 519, 14039, 543, 538, 1250, 6644, 3653, 835, 540, 519, 5301, 540, 1210, 513, 14039, 269, 18766, 689, 930, 1898, 5383, 713, 1935, 814, 849, 922, 11393, 269, 8835, 1107, 18789, 476, 274, 291, 2398, 5793, 20164, 267, 1810, 1406, 979, 713, 1357, 281, 4179, 2517, 4178, 269, 274, 323, 1440, 26262, 517, 4802, 652, 648, 2593, 7933, 12011, 10275, 527, 2073, 1101, 789, 1810, 1406, 2285, 1489, 789, 786, 1832, 6998, 596, 979, 20536, 585, 1489, 543, 20536, 2673, 1524, 538, 1906, 3275, 543, 789, 786, 2161, 789, 786, 711, 2709, 1489, 607, 20536, 2673, 6300, 267, 1287, 1946, 991, 547, 4444, 689, 873, 950, 972, 568, 1454, 543, 1454, 3390, 899, 851, 7508, 968, 7224, 1489, 892, 851, 1219, 716, 968, 7224, 1489, 892, 1982, 711, 2324, 968, 7224, 8081, 892, 621, 779, 899, 1310, 6133, 3028, 568, 968, 328, 6133, 596, 1152, 9039, 540, 1250, 1870, 10182, 269, 6969, 596, 1256, 5855, 827, 519, 824, 3334, 267, 596, 991, 547, 1589, 827, 519, 7344, 11460, 543, 7406, 1570, 540, 519, 476, 274, 291, 17002, 269, 901, 711, 1152, 6087, 596, 547, 1732, 1174, 519, 1259, 1919, 960, 543, 875, 547, 2953, 873, 950, 610, 952, 789, 979, 4636, 267, 855, 596, 849, 1205, 513, 1732, 1620, 540, 875, 547, 1118, 707, 17002, 1820, 1732, 269, 476, 274, 291, 2398, 5793, 18789, 281, 1215, 547, 12706, 2659, 13574, 476, 274, 291, 2398, 5793, 689, 2480, 337, 2255, 267, 476, 274, 291, 24614, 281, 12706, 2659, 13574, 476, 274, 291, 2398, 5793, 543, 7179, 2659, 13574, 476, 274, 291, 27014, 267, 20798, 2552, 9776, 18981, 1315, 476, 274, 291, 2398, 5793, 28628, 267, 4432, 4097, 2622, 1107, 476, 274, 291, 2398, 5793, 12706, 1210, 476, 272, 10759, 570, 4149, 14309, 970, 6350, 687, 267, 1548, 568, 476, 274, 323, 8228, 1107, 476, 274, 291, 8228, 4066, 7650, 267, 1215, 547, 3442, 513, 1318, 476, 274, 291, 17002, 27129, 1826, 267, 9537, 540, 476, 274, 291, 23252, 610, 476, 274, 291, 8228, 4066, 7650, 267, 23089, 547, 4647, 476, 274, 291, 17002, 6119, 543, 6119, 12043, 7650, 267, 1411, 9701, 5700, 1452, 12830, 476, 274, 291, 24614, 16610, 267, 4179, 2517, 4178, 269, 274, 323, 1440, 26262, 517, 4802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 7698, 7392, 281, 22335, 267, 5769, 4199, 281, 11657, 7392, 281, 3883, 267, 5769, 12754, 281, 2353, 22439, 1315, 19928, 12781, 281, 3627, 15352, 563, 763, 12213, 3162, 568, 513, 2686, 543, 13664, 1016, 2958, 542, 538, 519, 8828, 2136, 476, 1227, 267, 621, 729, 21630, 607, 1346, 2829, 1034, 8200, 593, 24914, 543, 10553, 7239, 1282, 519, 840, 4211, 2753, 2782, 1974, 269, 898, 2968, 4057, 1310, 543, 729, 513, 2101, 3135, 540, 7292, 8082, 267, 3043, 29686, 267, 561, 2106, 4221, 267, 543, 519, 6406, 7126, 12213, 3162, 1354, 729, 1419, 13474, 281, 2136, 2276, 563, 322, 944, 1433, 9082, 543, 594, 899, 873, 1360, 1454, 596, 4224, 561, 341, 340, 596, 1004, 1360, 1454, 543, 875, 596, 1832, 13359, 585, 891, 1433, 543, 607, 585, 519, 1004, 945, 1810, 1405, 798, 621, 1631, 543, 950, 594, 2161, 798, 621, 1631, 594, 1611, 621, 1175, 798, 621, 1346, 1004, 945, 2445, 891, 2835, 579, 4224, 865, 1454, 602, 594, 666, 1405, 2161, 875, 1454, 621, 1590, 581, 585, 596, 547, 1224, 543, 602, 568, 519, 835, 1919, 602, 568, 519, 4012, 518, 3364, 827, 563, 763, 3345, 729, 8273, 543, 1185, 811, 2872, 982, 519, 3162, 269, 1358, 1185, 513, 2603, 811, 1004, 267, 2200, 267, 543, 5763, 4758, 873, 606, 5413, 538, 519, 3540, 2112, 269, 4208, 1705, 519, 8828, 2829, 1616, 547, 4734, 269, 634, 8828, 2829, 941, 14126, 602, 607, 519, 2136, 2276, 9450, 267, 789, 1131, 2744, 1447, 1379, 563, 293, 6150, 896, 281, 12075, 540, 3345, 3013, 4534, 8828, 2276, 634, 3778, 540, 519, 1977, 12075, 267, 3487, 21871, 8409, 8315, 1520, 14765, 1456, 547, 519, 14967, 5101, 543, 4639, 8419, 267, 11908, 267, 3162, 543, 3345, 10491, 267, 543, 9098, 630, 26780, 281, 7179, 539, 585, 661, 563, 663, 595, 269, 667, 11035, 267, 16532, 676, 6276, 1520, 1515, 630, 20123, 2118, 12043, 693, 15426, 3013, 3345, 3013, 2136, 2276, 2136, 2276, 1496, 2102, 1968, 316, 8109, 2475, 25763, 2475, 29268, 2475, 14913, 2475, 8828, 2475, 5375, 2475, 17665, 14522, 14151, 543, 1715, 6792, 23916, 4993, 543, 519, 7414, 10491, 12548, 21086, 21241, 8419, 11908, 16127, 13325, 18518, 19578, 17857, 17996, 17039, 19051, 15930, 12590, 8160, 777, 540, 519, 7013, 2829, 540, 3345, 3013, 609, 519, 585, 1206, 267, 3771, 321, 2293, 1299, 4108, 7158, 17361, 1309, 269, 9448, 6406, 2782, 21476, 630, 273, 526, 1196, 13776, 4937, 4786, 6029, 834, 323, 1204, 532, 1899, 1063, 519, 1863, 1299, 10553, 3620, 13783, 2829, 1701, 563, 24292, 3604, 1063, 519, 3345, 543, 3162, 616, 11342, 269, 8828, 2829, 616, 811, 3909, 543, 2197, 2575, 568, 513, 1455, 6612, 269, 16930, 22463, 1683, 513, 5365, 540, 8832, 610, 8828, 269, 0, 294, 583, 7579, 320, 543, 20150, 454, 8505, 1143, 25400, 13081, 454, 8505, 1143, 8552, 4524, 630, 32359, 264, 568, 519, 7121, 540, 799, 10295, 8813, 896, 269, 20284, 6257, 513, 2039, 540, 8849, 1646, 4713, 799, 7363, 28107, 538, 1453, 1354, 476, 1240, 3275, 540, 2085, 855, 3735, 12614, 666, 2049, 1310, 476, 1240, 3275, 630, 272, 267, 273, 1040, 1703, 616, 1114, 5232, 540, 20284, 609, 8795, 2589, 1851, 2043, 269, 898, 568, 2356, 6353, 676, 7965, 538, 1514, 5872, 267, 16625, 7180, 543, 17799, 538, 1620, 1893, 630, 273, 1040, 634, 1696, 5735, 540, 10295, 568, 7164, 269, 1717, 267, 26144, 1453, 723, 1044, 4080, 547, 7985, 689, 4049, 543, 7928, 16063, 630, 22835, 264, 2042, 799, 5267, 602, 972, 949, 581, 513, 3095, 1063, 10295, 543, 519, 8937, 630, 274, 267, 275, 1916, 763, 5274, 28066, 454, 2005, 568, 6059, 602, 972, 616, 827, 476, 4968, 268, 4335, 1114, 2249, 540, 4551, 602, 1106, 513, 8994, 2065, 5872, 609, 519, 1480, 9667, 8778, 547, 1683, 10894, 267, 4761, 543, 8825, 3252, 630, 276, 1040, 28066, 18508, 5351, 538, 519, 18829, 540, 1875, 1673, 580, 652, 1043, 8192, 21225, 543, 11950, 269, 1358, 849, 948, 3132, 2110, 5832, 9761, 7408, 269, 634, 8937, 22435, 5161, 5631, 540, 4551, 689, 1079, 18105, 636, 674, 3305, 545, 2373, 543, 645, 1461, 1355, 26347, 630, 276, 1916, 22835, 2042, 1331, 13165, 267, 796, 11526, 588, 8962, 267, 19228, 267, 26533, 543, 5924, 12884, 525, 23569, 17406, 269, 7324, 519, 26144, 2551, 267, 22542, 2042, 616, 513, 1455, 12136, 267, 607, 3254, 538, 513, 476, 1001, 272, 1353, 1141, 476, 8287, 260, 540, 519, 26144, 1453, 1185, 22542, 2042, 3379, 547, 519, 476, 273, 260, 540, 519, 1852, 1895, 602, 1185, 22542, 2042, 263, 274, 1040, 634, 1852, 1895, 4016, 547, 519, 1895, 540, 1453, 945, 798, 711, 723, 10295, 563, 1103, 476, 1220, 273, 267, 22454, 267, 23441, 10433, 543, 5918, 31829, 531, 5714, 5439, 689, 6394, 689, 1585, 1453, 10506, 689, 26144, 2550, 609, 513, 1686, 540, 22542, 2042, 543, 941, 8947, 630, 277, 1040, 769, 2698, 267, 476, 1839, 1114, 2249, 540, 1849, 739, 5090, 1756, 941, 11402, 267, 476, 280, 540, 799, 941, 1336, 14311, 538, 519, 8937, 540, 26144, 1453, 1247, 476, 274, 2249, 941, 1152, 1336, 538, 519, 1852, 630, 277, 1040, 1849, 739, 5090, 1756, 886, 545, 850, 267, 513, 2249, 602, 729, 1336, 1152, 538, 26144, 588, 8962, 267, 568, 1634, 547, 581, 513, 2101, 2014, 540, 4049, 22542, 3676, 998, 922, 2504, 540, 4283, 582, 28845, 589, 267, 799, 568, 3743, 585, 1585, 22542, 2589, 998, 606, 7164, 7271, 630, 278, 1040, 6271, 1353, 3370, 538, 4989, 540, 476, 1001, 273, 1336, 602, 1346, 609, 3735, 12614, 10295, 723, 1044, 3254, 547, 723, 2362, 12523, 540, 2677, 5285, 990, 756, 26369, 538, 741, 32740, 2339, 3842, 7510, 549, 2425, 9760, 855, 1849, 739, 5090, 1756, 729, 711, 9678, 630, 272, 1916, 5141, 739, 5090, 1756, 568, 513, 12593, 540, 12896, 25698, 267, 8078, 622, 26103, 267, 838, 648, 268, 14127, 4551, 1247, 2677, 5285, 990, 756, 26369, 568, 513, 12593, 540, 12896, 24308, 543, 7098, 582, 26985, 4551, 630, 279, 1040, 4256, 10307, 7472, 2110, 7302, 664, 9761, 7408, 630, 17092, 11902, 264, 689, 11950, 543, 11254, 7408, 269, 16842, 2157, 540, 14662, 11902, 1459, 538, 21883, 1973, 666, 3444, 519, 1973, 2634, 11064, 1141, 789, 1860, 2634, 1646, 543, 1599, 630, 280, 1040, 1160, 3966, 18757, 3679, 630, 303, 5183, 264, 568, 513, 1826, 540, 14662, 11902, 1634, 547, 3310, 1591, 15202, 267, 32239, 10282, 270, 5305, 267, 24197, 1599, 543, 5444, 4082, 630, 280, 1040, 898, 7679, 31013, 609, 10408, 10307, 676, 11566, 519, 10894, 3252, 540, 519, 26503, 547, 2014, 19842, 14524, 543, 2566, 630, 279, 1040, 16842, 623, 5183, 936, 519, 11095, 942, 1974, 949, 1404, 513, 1909, 538, 519, 1646, 540, 10295, 543, 824, 5778, 31141, 4713, 630, 278, 1916, 2304, 4603, 5340, 538, 476, 1220, 279, 7318, 519, 8367, 602, 2799, 2157, 540, 623, 5183, 8507, 538, 26144, 6438, 4162, 971, 607, 15176, 1514, 7180, 630, 1015, 1040, 476, 14625, 2937, 5256, 14148, 941, 14477, 5697, 883, 519, 1739, 2516, 281, 623, 5183, 267, 605, 3966, 565, 1852, 267, 9770, 21449, 622, 630, 6347, 264, 1852, 543, 19552, 10889, 1229, 29649, 1852, 630, 303, 7034, 264, 630, 1015, 1040, 31406, 21449, 622, 568, 3812, 538, 519, 8937, 689, 19346, 18829, 543, 605, 3966, 565, 568, 513, 1875, 14092, 573, 545, 12746, 540, 623, 5183, 563, 6826, 6409, 21831, 729, 9916, 609, 1079, 14148, 540, 519, 1482, 8097, 2175, 543, 1239, 729, 6394, 593, 519, 1739, 4632, 3842, 513, 3381, 9477, 3301, 281, 1611, 3845, 1063, 14148, 267, 2600, 540, 942, 14148, 6170, 1369, 476, 276, 9492, 16133, 540, 1142, 824, 543, 2698, 3845, 24964, 676, 606, 1367, 3731, 630, 1015, 1040, 3958, 267, 519, 14148, 941, 2756, 582, 9464, 543, 11117, 585, 1404, 6888, 1759, 593, 4908, 540, 1404, 4384, 725, 267, 1297, 543, 1826, 540, 23640, 859, 12097, 630, 1015, 1916, 763, 2164, 4951, 602, 519, 14148, 609, 22280, 623, 5183, 1185, 9846, 15176, 1514, 7180, 269, 623, 5183, 22280, 14148, 17820, 513, 3152, 3845, 6306, 267, 6170, 1447, 942, 1369, 513, 476, 276, 9492, 16133, 547, 1142, 824, 267, 1185, 1447, 1404, 4205, 267, 543, 941, 811, 2693, 547, 1397, 859, 5297, 23640, 630, 1015, 1040, 1452, 4681, 1489, 602, 2799, 623, 5183, 2157, 11214, 10556, 1514, 7180, 269, 14408, 14148, 7620, 4951, 891, 19326, 607, 1134, 267, 855, 789, 8519, 607, 942, 27636, 630, 1015, 1040, 1160, 3966, 565, 543, 32282, 22280, 14148, 1705, 711, 1397, 1022, 540, 519, 1657, 19326, 630, 1015, 1040, 634, 14148, 941, 711, 7318, 585, 519, 4527, 540, 1849, 739, 5090, 1756, 610, 2677, 5285, 990, 756, 26369, 563, 2467, 616, 1100, 2090, 3370, 593, 519, 946, 540, 21734, 8069, 1996, 2677, 5285, 990, 756, 26369, 855, 972, 729, 513, 4693, 1353, 1759, 593, 519, 946, 540, 5711, 8709, 1260, 344, 11142, 593, 3735, 12614, 26144, 1453, 609, 513, 1686, 540, 5312, 13165, 269, 11709, 1260, 344, 11142, 568, 606, 15084, 1031, 547, 1521, 5563, 3361, 676, 12896, 25698, 4551, 267, 1818, 621, 1360, 2500, 1996, 1849, 739, 5090, 1756, 855, 23696, 1996, 2677, 5285, 990, 756, 26369, 630, 1556, 1040, 634, 8367, 729, 602, 519, 8825, 1599, 540, 8937, 18508, 729, 19847, 1813, 547, 519, 946, 540, 21734, 8069, 267, 799, 4847, 519, 17091, 540, 1849, 739, 5090, 1756, 630, 1556, 1916, 8070, 543, 840, 2389, 13015, 19326, 540, 519, 2550, 941, 2756, 582, 9464, 543, 11117, 676, 513, 4791, 18673, 269, 898, 729, 1336, 602, 476, 279, 856, 540, 476, 1015, 540, 519, 26144, 2550, 1185, 4824, 7180, 630, 1556, 1040, 1358, 941, 1447, 10728, 267, 1185, 2799, 3750, 3346, 543, 4824, 538, 741, 32615, 1893, 543, 4633, 269, 4107, 540, 741, 22542, 2042, 849, 4682, 2476, 269, 10251, 267, 1246, 909, 8612, 602, 519, 2360, 540, 8709, 1260, 344, 11142, 941, 2110, 2165, 543, 519, 1453, 8120, 547, 741, 3105, 7180, 630, 1556, 1040, 898, 568, 1179, 4327, 602, 519, 24032, 540, 1849, 739, 5090, 1756, 941, 19448, 26327, 676, 519, 2126, 799, 949, 723, 3366, 741, 973, 20325, 1436, 630, 1556, 1916, 296, 3913, 545, 11484, 639, 2249, 616, 2447, 14663, 334, 2246, 582, 5268, 338, 602, 946, 7636, 7250, 607, 519, 22803, 6475, 20033, 543, 3693, 531, 20962, 584, 607, 519, 22803, 12363, 6475, 3398, 528, 1547, 634, 5786, 540, 519, 3693, 531, 20962, 584, 2164, 538, 519, 2504, 540, 7250, 20962, 728, 3154, 563, 296, 3913, 545, 11484, 639, 616, 1313, 582, 5268, 338, 538, 602, 789, 4368, 741, 1378, 3327, 8166, 883, 5214, 6675, 269, 634, 3327, 8166, 30651, 1184, 789, 946, 568, 513, 3209, 1184, 1572, 513, 546, 545, 541, 7901, 2643, 622, 270, 275, 31622, 32611, 8117, 344, 3433, 1313, 582, 13116, 3327, 21939, 4783, 602, 3322, 476, 1691, 1114, 11476, 4586, 300, 20047, 540, 519, 22695, 545, 11484, 639, 12593, 616, 2111, 547, 946, 16139, 1756, 607, 513, 9436, 2707, 563, 10303, 2818, 540, 519, 22695, 545, 11484, 639, 12593, 616, 5409, 750, 332, 2684, 3796, 543, 8078, 622, 16562, 518, 984, 525, 267, 621, 568, 711, 9670, 602, 741, 2208, 2175, 616, 1360, 1950, 269, 1358, 616, 6738, 538, 513, 5277, 5420, 1634, 607, 476, 16006, 590, 10933, 22695, 545, 11484, 639, 799, 568, 513, 3070, 540, 10991, 4262, 1216, 799, 568, 1287, 1500, 26103, 563, 294, 3497, 538, 713, 2923, 693, 741, 6099, 2208, 2837, 540, 476, 3445, 290, 267, 519, 2818, 540, 519, 22695, 545, 11484, 639, 12593, 3335, 3914, 513, 1591, 5860, 540, 9625, 275, 343, 13040, 3250, 338, 8276, 299, 4586, 296, 3913, 545, 11484, 639, 6413, 529, 568, 519, 1152, 4759, 540, 519, 12593, 22695, 545, 11484, 639, 602, 814, 1044, 3254, 547, 723, 606, 3573, 1623, 25027, 2078, 609, 1776, 11248, 563, 296, 3913, 545, 11484, 639, 6413, 529, 814, 1044, 3254, 547, 4497, 538, 1623, 6798, 2670, 609, 30594, 1105, 2801, 636, 1226, 30808, 1547, 30594, 1105, 2801, 636, 1226, 30808, 568, 513, 1360, 1507, 9279, 322, 1355, 2249, 609, 513, 1591, 8006, 540, 476, 271, 269, 275, 18725, 332, 1547, 32081, 2079, 814, 3177, 1454, 540, 519, 1634, 1344, 827, 713, 2249, 563, 2414, 2417, 635, 12393, 519, 1623, 25027, 2078, 1063, 1312, 2249, 267, 621, 779, 1044, 4767, 602, 519, 4527, 540, 30594, 1105, 2801, 636, 1226, 30808, 593, 519, 2627, 540, 22695, 545, 11484, 639, 6413, 529, 11214, 29620, 519, 1591, 18643, 540, 22695, 545, 11484, 639, 6413, 529, 1547, 1215, 610, 1946, 713, 4386, 814, 711, 2943, 1044, 19286, 730, 4586, 301, 8457, 1105, 2801, 636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8955, 5969, 3684, 568, 513, 8955, 4393, 3684, 602, 568, 1031, 547, 2759, 10824, 610, 13740, 883, 519, 5551, 3337, 540, 960, 20355, 267, 1210, 519, 8143, 1648, 540, 519, 8955, 11237, 547, 3035, 5969, 269, 2060, 519, 2810, 4170, 540, 519, 5663, 2872, 267, 1082, 2757, 4393, 4066, 723, 1044, 8572, 547, 2743, 519, 4393, 2115, 267, 519, 11944, 540, 519, 8955, 1175, 547, 4194, 713, 1966, 563, 2704, 6058, 1756, 779, 7415, 3601, 1331, 1434, 3337, 267, 8897, 540, 585, 3101, 267, 1434, 14809, 4187, 267, 1970, 5860, 267, 1164, 4222, 547, 2597, 5223, 543, 1164, 17795, 32297, 269, 9603, 547, 891, 3601, 267, 26459, 568, 835, 540, 519, 1034, 22237, 543, 5078, 7293, 2326, 538, 519, 5010, 543, 4108, 9922, 267, 1818, 3728, 543, 1164, 1790, 13440, 1707, 5969, 540, 26459, 513, 7156, 585, 1082, 5663, 6080, 563, 299, 6471, 5969, 6191, 2736, 519, 2757, 4393, 2409, 543, 616, 4922, 1031, 538, 782, 15211, 540, 1272, 609, 513, 1007, 5969, 1505, 269, 20305, 945, 917, 6775, 8955, 5969, 6191, 1058, 917, 602, 25581, 3154, 568, 1419, 1031, 538, 519, 5969, 1184, 267, 799, 568, 4010, 769, 713, 1259, 267, 1082, 1004, 616, 811, 7255, 827, 519, 3390, 540, 968, 326, 553, 9731, 4415, 519, 6024, 1646, 540, 519, 4496, 4393, 2872, 267, 519, 2344, 814, 2362, 543, 2362, 4170, 585, 6656, 4496, 4393, 269, 2060, 519, 5383, 540, 922, 1378, 5969, 267, 8955, 5969, 6191, 616, 23163, 676, 811, 543, 811, 1004, 267, 799, 849, 8992, 519, 2810, 1297, 543, 1646, 540, 9755, 540, 8955, 5969, 6191, 563, 2467, 568, 4867, 1100, 3586, 3044, 585, 519, 5969, 2298, 540, 8955, 5969, 3684, 3937, 269, 3767, 621, 568, 6140, 5462, 676, 3168, 693, 519, 1808, 5969, 1198, 267, 855, 972, 616, 1082, 2188, 602, 1860, 519, 5969, 1198, 563, 299, 6471, 5969, 6191, 2736, 519, 2757, 4393, 2409, 543, 616, 4922, 1031, 538, 782, 15211, 540, 1272, 609, 513, 1007, 5969, 1505, 269, 20305, 945, 917, 6775, 8955, 5969, 6191, 1058, 917, 602, 25581, 3154, 568, 1419, 1031, 538, 519, 5969, 1184, 267, 799, 568, 4010, 4586, 2529, 1550, 519, 3902, 540, 513, 8955, 5969, 3684, 9832, 689, 7366, 540, 5215, 547, 6634, 267, 621, 568, 2731, 7199, 267, 865, 1210, 513, 1434, 8955, 5969, 3684, 666, 1205, 7466, 519, 1267, 609, 3368, 519, 4674, 267, 543, 4509, 513, 8955, 5969, 3684, 666, 7494, 2569, 519, 1942, 269, 547, 8831, 519, 1272, 540, 519, 3937, 2676, 299, 6471, 4393, 2029, 568, 606, 1271, 2029, 538, 519, 3540, 543, 4108, 4610, 267, 971, 607, 4853, 5663, 267, 1007, 1570, 1646, 267, 3621, 1382, 267, 3092, 269, 898, 814, 1164, 3498, 1871, 543, 2344, 1871, 269, 21558, 4393, 2029, 2882, 8955, 5969, 267, 8955, 13841, 267, 8955, 16287, 267, 8955, 7698, 5663, 267, 3092, 1421, 786, 581, 5051, 1031, 538, 519, 4393, 540, 4496, 2472, 543, 2326, 563, 5472, 5686, 540, 10612, 8955, 5969, 6191, 723, 13631, 519, 3007, 540, 3755, 835, 1310, 1776, 269, 2060, 519, 4028, 2208, 540, 4496, 10612, 2504, 543, 4616, 267, 4359, 8955, 5969, 1949, 723, 1044, 4922, 1031, 538, 519, 2504, 543, 4393, 540, 12992, 267, 2523, 16243, 5374, 267, 18585, 5374, 267, 3327, 5374, 267, 27647, 1242, 5374, 267, 3092, 269, 13082, 267, 21193, 26096, 267, 769, 935, 601, 543, 824, 4496, 10612, 4393, 3156, 269, 0, 1432, 568, 15444, 11403, 10657, 888, 4932, 11403, 10657, 568, 606, 23576, 1759, 2126, 585, 8194, 543, 824, 2589, 971, 607, 4160, 543, 4965, 269, 15444, 11403, 10657, 568, 6444, 607, 606, 2500, 1106, 540, 2126, 585, 8194, 543, 824, 23892, 2833, 676, 3906, 971, 607, 519, 1977, 5369, 12278, 5948, 267, 519, 2622, 2657, 9257, 267, 543, 519, 4972, 540, 16470, 563, 4932, 11403, 10657, 568, 513, 7347, 3102, 476, 279, 5123, 21911, 2203, 602, 2882, 1686, 2921, 267, 759, 25703, 543, 32278, 267, 4879, 267, 964, 31731, 1436, 267, 10380, 267, 19479, 267, 543, 556, 24834, 6672, 563, 4932, 11403, 10657, 666, 1521, 1034, 9306, 2152, 971, 607, 17971, 267, 17520, 267, 12870, 267, 10266, 267, 2530, 267, 543, 666, 4217, 538, 519, 6051, 540, 2168, 5945, 543, 4576, 269, 4039, 1049, 15444, 11403, 10657, 16621, 27610, 1140, 2317, 618, 543, 16621, 22228, 954, 933, 2314, 547, 948, 513, 1268, 12115, 689, 1713, 10714, 543, 13613, 7063, 563, 1692, 15444, 11403, 10657, 3718, 912, 4932, 11403, 10657, 6663, 547, 948, 519, 2634, 1184, 543, 11753, 15779, 8823, 538, 513, 811, 13261, 1259, 269, 4438, 606, 15444, 11403, 8400, 267, 519, 13309, 786, 3391, 519, 7817, 998, 513, 3126, 540, 3750, 5322, 267, 512, 2355, 267, 610, 4992, 267, 1247, 519, 7817, 6212, 593, 519, 15779, 3965, 269, 634, 3750, 5322, 267, 610, 824, 3029, 540, 24845, 14242, 616, 2219, 547, 948, 519, 7817, 1184, 519, 3965, 676, 1437, 908, 1312, 519, 2451, 543, 1318, 5011, 540, 519, 2634, 269, 634, 13309, 786, 948, 519, 3461, 547, 5469, 1022, 4555, 267, 4664, 267, 610, 2168, 17915, 602, 8451, 1282, 519, 1184, 267, 543, 960, 609, 519, 3461, 547, 1201, 9347, 2942, 4978, 543, 1020, 811, 13261, 12003, 2994, 563, 763, 20640, 1912, 1162, 540, 15444, 11403, 10657, 912, 14532, 23824, 543, 19369, 454, 1432, 15444, 11403, 2052, 6164, 912, 4932, 11403, 630, 292, 6614, 11873, 2677, 31731, 1436, 543, 3115, 549, 22422, 264, 3797, 568, 513, 21911, 1935, 602, 814, 1044, 1336, 547, 581, 2500, 538, 8156, 513, 2039, 540, 2790, 1072, 2175, 1519, 267, 855, 711, 3908, 547, 281, 17971, 630, 8070, 6874, 571, 9964, 13262, 13081, 1070, 17520, 15136, 267, 12870, 267, 1912, 984, 5362, 267, 24251, 267, 14856, 15136, 267, 18127, 10266, 267, 10838, 1866, 563, 14532, 540, 15444, 11403, 912, 4932, 11403, 729, 2919, 538, 519, 3735, 476, 2735, 271, 338, 676, 5369, 6048, 8071, 710, 1744, 777, 10098, 269, 1744, 777, 10098, 729, 6158, 513, 588, 2651, 538, 519, 6288, 950, 1352, 8068, 602, 1200, 1378, 2942, 4555, 543, 4664, 3459, 547, 26632, 622, 607, 1200, 4064, 6410, 6385, 1394, 543, 8521, 269, 1744, 777, 10098, 3459, 547, 2263, 713, 8343, 2417, 543, 2919, 513, 9354, 1935, 1759, 593, 3750, 5322, 267, 799, 1352, 1572, 16685, 11873, 2677, 31731, 1436, 630, 4932, 291, 1916, 4537, 777, 10098, 4843, 1200, 4681, 693, 513, 10554, 538, 476, 2735, 280, 910, 543, 519, 1935, 6591, 8560, 3533, 269, 634, 4480, 729, 2663, 15568, 547, 1331, 824, 2010, 540, 24845, 14242, 267, 971, 607, 26378, 610, 4992, 267, 543, 519, 2012, 729, 4957, 547, 15444, 11403, 563, 4932, 11403, 7620, 6591, 8560, 607, 513, 2126, 585, 2022, 32034, 2566, 4524, 630, 303, 15056, 264, 855, 814, 2094, 1044, 1031, 547, 1521, 513, 3099, 540, 2790, 1072, 2175, 269, 769, 476, 1960, 276, 267, 519, 1977, 5369, 12278, 5948, 6444, 15444, 11403, 607, 606, 2500, 2126, 585, 17971, 267, 543, 538, 476, 1220, 275, 267, 519, 2622, 2657, 9257, 5227, 15444, 11403, 607, 513, 1101, 11060, 2126, 585, 8194, 563, 7021, 519, 1296, 267, 15444, 11403, 814, 22734, 11826, 3621, 1353, 267, 543, 1382, 814, 1336, 621, 547, 581, 2500, 538, 8156, 1585, 2790, 1072, 2175, 269, 4653, 267, 15444, 11403, 568, 4922, 6444, 607, 513, 4570, 543, 2500, 1106, 540, 21911, 563, 763, 3194, 593, 15444, 11403, 912, 4932, 11403, 630, 292, 6614, 11873, 2677, 31731, 1436, 543, 3115, 549, 22422, 264, 3797, 568, 2808, 606, 2963, 2861, 2259, 585, 519, 2126, 540, 2022, 32034, 2566, 4524, 630, 303, 15056, 264, 676, 1896, 18019, 3906, 267, 1519, 519, 2622, 2657, 9257, 630, 21766, 264, 543, 519, 1977, 16723, 5948, 630, 4338, 288, 1916, 19617, 2730, 19747, 6417, 8062, 267, 13849, 12845, 26087, 525, 267, 543, 9836, 8039, 723, 7152, 519, 7145, 540, 15444, 11403, 3797, 585, 17971, 543, 824, 2175, 267, 971, 607, 4160, 267, 4965, 267, 543, 943, 984, 5362, 269, 3958, 267, 15444, 11403, 3797, 814, 1044, 1336, 547, 581, 607, 2500, 630, 604, 711, 811, 264, 607, 824, 3964, 5574, 585, 17971, 267, 971, 607, 5042, 15515, 24173, 3797, 630, 30274, 264, 543, 4598, 3797, 563, 4932, 11403, 3797, 814, 849, 1044, 5227, 607, 513, 1101, 11060, 2126, 585, 8194, 676, 1896, 3084, 543, 3486, 3906, 267, 1519, 519, 4139, 5980, 585, 3004, 9964, 13262, 5525, 630, 3041, 4811, 306, 264, 543, 519, 4972, 540, 27851, 16457, 630, 22849, 264, 538, 519, 2136, 2276, 563, 2690, 519, 5767, 1382, 3643, 910, 10765, 3194, 827, 15444, 11403, 910, 15444, 11403, 4139, 5948, 630, 655, 323, 6319, 3820, 264, 0, 9377, 14212, 568, 519, 957, 540, 1818, 7301, 543, 5739, 6898, 827, 1776, 1268, 267, 799, 14796, 741, 10639, 543, 3123, 873, 2800, 269, 898, 568, 513, 3540, 4636, 630, 339, 677, 264, 543, 849, 513, 7803, 25213, 538, 930, 22875, 269, 4347, 14212, 666, 581, 8149, 538, 1079, 2081, 1107, 998, 9275, 1913, 630, 338, 1633, 518, 264, 610, 998, 2854, 610, 9102, 1913, 630, 12221, 601, 1916, 2414, 13822, 1219, 14212, 267, 519, 1739, 2609, 1590, 581, 1459, 912, 268, 22910, 281, 634, 1219, 600, 2218, 3948, 1590, 581, 28078, 547, 513, 3791, 5428, 269, 898, 1281, 711, 2339, 2436, 519, 2792, 568, 1500, 538, 1603, 267, 30375, 267, 610, 998, 824, 1797, 563, 268, 8771, 15048, 281, 634, 3948, 1500, 1590, 581, 7301, 269, 18266, 568, 513, 2347, 8878, 1996, 1219, 14212, 563, 268, 15053, 281, 634, 3948, 1500, 1590, 723, 3361, 2800, 547, 519, 10639, 540, 519, 1268, 1996, 7247, 621, 568, 1500, 269, 634, 2800, 666, 581, 2901, 15889, 267, 971, 607, 2530, 540, 1870, 610, 4747, 267, 610, 30608, 267, 971, 607, 3441, 547, 519, 1268, 779, 10639, 563, 268, 674, 5435, 281, 634, 3948, 1590, 723, 1044, 1500, 609, 13337, 593, 519, 851, 540, 519, 1268, 1818, 621, 269, 769, 930, 2665, 267, 519, 3044, 540, 13337, 2838, 949, 8428, 4470, 593, 2436, 519, 27674, 858, 568, 513, 1857, 4137, 610, 513, 4357, 1367, 563, 1103, 2489, 267, 1219, 14212, 666, 1267, 538, 3656, 2962, 1373, 3144, 1996, 519, 1268, 1818, 519, 1219, 600, 2218, 3948, 269, 634, 27674, 858, 666, 3343, 14796, 585, 519, 2800, 3361, 547, 741, 10639, 267, 543, 538, 930, 2665, 267, 606, 3614, 4233, 547, 2061, 2417, 8313, 540, 519, 1219, 600, 2218, 3948, 563, 2005, 568, 1271, 547, 4063, 602, 519, 8878, 540, 17979, 949, 4019, 538, 1978, 3871, 269, 1280, 1383, 267, 513, 19784, 8989, 593, 513, 2339, 540, 1857, 1719, 568, 6870, 676, 519, 8878, 540, 11727, 17979, 267, 607, 1279, 607, 519, 8989, 568, 2944, 538, 1434, 5132, 543, 1510, 4731, 823, 269, 6684, 267, 6898, 1500, 538, 5480, 610, 538, 12057, 616, 6870, 676, 6207, 17979, 563, 14454, 267, 1219, 14212, 568, 513, 3978, 25213, 602, 666, 723, 2484, 23568, 4539, 585, 519, 1268, 1996, 7247, 621, 568, 8149, 269, 898, 568, 1271, 547, 3635, 13657, 543, 24787, 950, 1818, 6898, 827, 1866, 547, 2057, 4929, 2800, 610, 22867, 1219, 14212, 563, 9377, 14212, 568, 513, 3978, 25213, 267, 543, 972, 723, 1044, 1896, 19506, 2013, 4031, 1644, 547, 1219, 14212, 563, 2080, 616, 930, 540, 519, 1034, 1271, 3283, 912, 6124, 3840, 8648, 3213, 269, 642, 269, 590, 29229, 630, 3422, 275, 2187, 1607, 568, 513, 19506, 2475, 10966, 7040, 2013, 602, 3964, 519, 968, 716, 783, 4731, 823, 892, 3044, 585, 1219, 14212, 5473, 1857, 5515, 269, 634, 5480, 4371, 602, 513, 1857, 4013, 3112, 647, 324, 585, 1219, 14212, 8259, 519, 7301, 3948, 729, 1500, 609, 968, 716, 783, 4731, 823, 892, 1107, 602, 568, 267, 609, 1702, 602, 621, 729, 7301, 610, 609, 22672, 1652, 23304, 731, 585, 519, 5168, 563, 10468, 518, 1690, 670, 622, 22894, 642, 269, 634, 4095, 4659, 540, 5303, 267, 25512, 599, 630, 1001, 278, 2187, 1607, 568, 606, 1271, 4095, 2013, 602, 6444, 519, 1318, 547, 10639, 607, 513, 4909, 1318, 269, 634, 5480, 4371, 602, 513, 1268, 779, 10639, 568, 513, 3407, 10697, 602, 666, 581, 6870, 998, 3656, 1797, 267, 543, 602, 1022, 7301, 610, 1219, 600, 2218, 3948, 602, 28746, 513, 1268, 779, 10639, 666, 581, 519, 1641, 540, 513, 27779, 563, 8138, 1090, 534, 1014, 4210, 18081, 642, 269, 5742, 540, 3127, 630, 1001, 277, 2187, 1607, 568, 606, 4095, 2013, 602, 909, 18988, 519, 11156, 1275, 540, 7803, 1219, 14212, 269, 634, 5480, 4371, 602, 7803, 1219, 14212, 568, 513, 10257, 19231, 593, 519, 5191, 540, 4633, 543, 4082, 16798, 676, 519, 9139, 267, 607, 621, 5713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2154, 519, 1459, 3501, 610, 519, 2250, 2241, 13029, 286, 2725, 656, 547, 581, 606, 2228, 4199, 267, 596, 1223, 3362, 1820, 713, 547, 2347, 538, 519, 4928, 269, 22996, 6445, 538, 1142, 10145, 609, 519, 2953, 13029, 269, 14210, 2055, 616, 7396, 563, 274, 6113, 910, 476, 277, 628, 2296, 5678, 8551, 0, 306, 10547, 7001, 689, 3312, 9786, 8837, 476, 4817, 270, 7176, 631, 10270, 21115, 839, 11232, 454, 1607, 14266, 7158, 1079, 3029, 540, 4609, 610, 5054, 538, 6935, 547, 1142, 824, 281, 606, 1387, 4084, 610, 2067, 3774, 267, 24190, 609, 519, 4082, 8384, 5862, 3819, 267, 543, 513, 5691, 610, 3059, 3774, 538, 922, 1034, 2596, 1106, 607, 519, 9786, 8837, 476, 4817, 270, 7176, 631, 10270, 21115, 839, 11232, 269, 634, 28618, 13819, 11232, 568, 1631, 606, 22573, 543, 856, 7116, 539, 1982, 602, 568, 5432, 547, 1082, 607, 513, 9949, 4259, 593, 1082, 7193, 5904, 538, 519, 3735, 476, 3445, 338, 543, 621, 12286, 12445, 1063, 6821, 538, 606, 11995, 28618, 630, 8201, 476, 272, 1040, 3414, 741, 5104, 868, 777, 3789, 267, 16198, 616, 6537, 1063, 519, 4082, 8384, 5862, 3819, 543, 8384, 513, 13819, 11232, 269, 634, 20451, 568, 267, 2705, 267, 602, 1004, 538, 1249, 3483, 2685, 4585, 713, 13819, 11232, 282, 972, 616, 936, 476, 279, 267, 20065, 3381, 2164, 585, 28618, 13819, 11232, 593, 13334, 607, 540, 5181, 476, 3066, 628, 267, 476, 1001, 274, 267, 543, 693, 2547, 476, 272, 2929, 5784, 5916, 269, 11086, 267, 538, 713, 14266, 519, 2168, 3774, 538, 519, 4082, 8384, 5862, 3819, 543, 519, 6821, 538, 519, 13819, 11232, 616, 1031, 607, 12508, 540, 1079, 1114, 2833, 267, 543, 741, 6476, 6770, 1769, 547, 741, 10486, 543, 3604, 543, 875, 1142, 568, 4607, 538, 4207, 2486, 269, 0, 30875, 22630, 630, 9264, 278, 1700, 8618, 264, 729, 513, 5507, 18874, 267, 945, 267, 538, 476, 6977, 279, 267, 3370, 519, 1101, 7160, 540, 513, 2564, 1257, 1433, 13886, 22845, 281, 10855, 543, 10551, 269, 769, 2663, 1296, 2443, 1101, 1217, 958, 267, 543, 267, 1310, 476, 4350, 279, 267, 18005, 2443, 519, 1433, 2968, 1634, 607, 22630, 781, 22845, 269, 898, 568, 835, 540, 519, 1906, 2564, 5931, 1634, 676, 2012, 547, 519, 2489, 1857, 563, 5804, 634, 10228, 12660, 542, 547, 519, 10610, 538, 10228, 13129, 563, 20428, 338, 281, 6925, 543, 2657, 269, 0, 288, 25861, 26445, 4806, 7298, 547, 519, 1480, 3750, 950, 13156, 606, 14961, 25139, 2627, 267, 971, 607, 513, 6531, 610, 519, 6607, 269, 3502, 3713, 762, 676, 3025, 267, 621, 7363, 5161, 540, 513, 5835, 880, 5662, 6921, 817, 11057, 3148, 609, 1079, 9764, 4544, 4525, 593, 1142, 2427, 540, 519, 22765, 269, 634, 1279, 7852, 540, 519, 5835, 1858, 568, 693, 1318, 7285, 547, 519, 1769, 781, 7077, 540, 19089, 269, 634, 4137, 14340, 1317, 540, 27524, 549, 1143, 630, 18528, 3720, 538, 519, 7990, 12842, 4470, 593, 519, 7077, 540, 26445, 264, 538, 519, 3148, 540, 519, 22100, 1634, 607, 519, 5672, 3121, 561, 1393, 320, 269, 6423, 849, 26445, 540, 519, 6607, 563, 20428, 338, 281, 25561, 1108, 543, 29725, 26331, 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 ]
[ 276, 267, 1822, 568, 2139, 563, 4002, 476, 2420, 526, 5130, 476, 1001, 276, 267, 715, 732, 526, 571, 3525, 328, 9307, 519, 2672, 330, 1415, 320, 6341, 5090, 6062, 1982, 607, 851, 540, 1010, 1412, 289, 564, 328, 29732, 334, 267, 5975, 328, 22087, 29697, 262, 5859, 269, 634, 3483, 540, 713, 1982, 568, 547, 3382, 519, 3790, 540, 513, 4775, 1126, 781, 2069, 543, 7365, 563, 1432, 616, 519, 4162, 888, 2005, 2636, 585, 519, 10661, 540, 835, 2272, 829, 4775, 4819, 269, 589, 1920, 609, 1079, 4775, 1453, 949, 723, 513, 5021, 540, 476, 273, 6589, 269, 1717, 267, 952, 519, 1101, 610, 2034, 4332, 8507, 538, 21054, 610, 17784, 1206, 267, 513, 3791, 2272, 949, 581, 2813, 563, 7628, 513, 2883, 1032, 267, 513, 5934, 540, 12652, 269, 476, 272, 267, 1822, 543, 513, 5021, 540, 12652, 269, 476, 272, 269, 276, 32763, 949, 581, 20024, 269, 3493, 657, 1080, 538, 519, 2272, 616, 15868, 585, 476, 1691, 1296, 689, 519, 2272, 781, 27299, 4266, 563, 763, 2272, 949, 581, 6806, 1152, 950, 519, 8004, 1140, 1622, 519, 2085, 540, 476, 2641, 269, 4634, 1310, 7432, 476, 2641, 267, 952, 519, 2272, 568, 711, 6806, 543, 519, 7482, 616, 711, 6569, 267, 1719, 949, 3136, 547, 581, 6383, 593, 3666, 269, 2311, 519, 942, 540, 2272, 10661, 267, 513, 4332, 15149, 1590, 581, 3177, 563, 288, 2385, 610, 27369, 949, 3715, 543, 4383, 519, 2272, 607, 4166, 607, 513, 4775, 1126, 10301, 4557, 269, 2991, 519, 8004, 10301, 476, 1240, 267, 1352, 949, 1491, 909, 547, 476, 2004, 260, 540, 1200, 3666, 547, 11886, 1200, 1153, 13800, 269, 14559, 949, 581, 6410, 1063, 9516, 8492, 610, 1063, 2022, 13646, 543, 13931, 8492, 269, 898, 3091, 606, 476, 279, 269, 277, 260, 1719, 2557, 543, 4747, 3454, 5383, 563, 11965, 289, 312, 281, 681, 1662, 28256, 5984, 4210, 553, 628, 5984, 645, 9874, 962, 19390, 3570, 454, 1607, 1982, 3459, 538, 476, 1220, 279, 269, 4706, 3119, 6662, 568, 547, 2709, 1072, 6142, 3795, 547, 1346, 2630, 519, 645, 12195, 630, 19350, 24770, 7412, 264, 12939, 563, 2005, 6227, 796, 23457, 9922, 971, 607, 4070, 10805, 609, 28054, 4425, 1841, 267, 9335, 966, 754, 832, 267, 13397, 10234, 623, 13024, 630, 571, 559, 3118, 267, 30400, 3918, 16598, 267, 9553, 267, 1286, 610, 3454, 328, 10256, 267, 3092, 269, 898, 2488, 3795, 540, 909, 547, 12652, 269, 476, 1789, 267, 1822, 593, 513, 6083, 831, 4493, 585, 513, 1920, 540, 2947, 269, 898, 849, 6227, 6283, 3790, 540, 909, 547, 12652, 269, 476, 1911, 1142, 6413, 3643, 267, 909, 547, 513, 5021, 540, 12652, 269, 476, 272, 267, 1822, 563, 763, 20478, 568, 1175, 12652, 269, 476, 1789, 829, 1032, 267, 543, 645, 12195, 10820, 949, 1205, 606, 19954, 289, 312, 5100, 3556, 267, 3850, 3755, 547, 3409, 909, 547, 12652, 269, 476, 1789, 267, 1822, 538, 2564, 3790, 1142, 1032, 563, 11101, 267, 519, 2229, 814, 5189, 1114, 2804, 14565, 267, 971, 607, 22745, 606, 2228, 22045, 547, 4217, 1004, 543, 824, 14565, 538, 3246, 6705, 609, 5934, 4747, 1489, 269, 1280, 3236, 267, 979, 26404, 814, 9250, 6751, 918, 16388, 267, 543, 631, 2465, 321, 327, 7112, 328, 2480, 1335, 525, 547, 948, 1004, 543, 6705, 563, 13233, 4317, 26859, 30868, 454, 1607, 568, 513, 31344, 958, 14102, 1982, 602, 3459, 538, 476, 1960, 276, 547, 2285, 2883, 1489, 547, 519, 11361, 267, 11097, 15735, 267, 543, 16981, 7606, 538, 1514, 533, 5014, 269, 634, 2640, 540, 2229, 3292, 616, 2139, 547, 782, 14227, 5049, 563, 8005, 568, 14718, 888, 12179, 821, 936, 519, 2085, 540, 476, 2568, 945, 568, 2630, 519, 6710, 1377, 454, 310, 573, 3298, 689, 519, 645, 12195, 945, 616, 1063, 519, 6502, 540, 476, 2412, 543, 476, 5038, 454, 289, 12195, 1346, 945, 616, 16981, 547, 513, 3152, 982, 476, 3199, 260, 4110, 543, 616, 1657, 519, 2085, 540, 476, 1240, 454, 303, 2784, 7315, 31615, 686, 631, 644, 571, 962, 19390, 3570, 630, 303, 12613, 312, 994, 19859, 19590, 4886, 1299, 4676, 12099, 10837, 13456, 269, 568, 513, 1007, 11036, 6131, 547, 3384, 543, 1201, 514, 3496, 2890, 26972, 563, 2467, 616, 1614, 3688, 6035, 896, 6751, 300, 312, 538, 476, 1001, 277, 912, 4537, 880, 340, 281, 30216, 909, 547, 12652, 269, 476, 2004, 267, 1822, 538, 12029, 563, 298, 880, 648, 281, 30216, 909, 547, 12652, 269, 476, 276, 267, 876, 267, 1822, 538, 12029, 563, 307, 541, 684, 281, 20579, 684, 2488, 12029, 909, 547, 12652, 269, 476, 1015, 267, 1822, 267, 1822, 563, 300, 644, 571, 12029, 616, 2139, 585, 26873, 630, 1260, 14293, 6174, 12029, 267, 18914, 12029, 267, 543, 1079, 2914, 31856, 518, 12029, 1916, 19968, 12305, 618, 10753, 534, 630, 289, 6579, 2567, 10753, 534, 585, 2324, 3854, 4170, 267, 3937, 16306, 267, 543, 5604, 22058, 725, 267, 1851, 824, 1919, 563, 19968, 10753, 753, 6828, 10753, 753, 630, 13993, 294, 264, 543, 22798, 6355, 15894, 630, 305, 6195, 2567, 3683, 323, 2761, 543, 2324, 3854, 12029, 593, 513, 6749, 1899, 4493, 269, 3115, 599, 618, 540, 519, 10211, 949, 1491, 909, 547, 5722, 1296, 269, 0, 763, 946, 540, 5208, 543, 28170, 542, 547, 3035, 2797, 3853, 1419, 8507, 538, 2043, 609, 10795, 21274, 8375, 547, 7158, 540, 1379, 269, 901, 2813, 513, 19979, 1604, 1141, 1346, 945, 941, 8348, 547, 946, 3196, 2968, 519, 3401, 540, 519, 3350, 563, 13010, 267, 23237, 779, 3909, 2069, 5129, 513, 2629, 1909, 538, 5935, 1010, 23381, 543, 16809, 269, 3571, 909, 32523, 538, 513, 3909, 7622, 1128, 2683, 538, 1864, 513, 2631, 540, 2915, 2742, 543, 6207, 3661, 538, 1010, 1378, 32660, 269, 901, 3909, 3310, 666, 581, 2938, 538, 519, 1259, 23237, 829, 30062, 25399, 267, 7432, 621, 883, 513, 29610, 3146, 31437, 1062, 609, 5128, 607, 519, 18678, 6205, 563, 1805, 16433, 779, 721, 584, 335, 566, 540, 1379, 543, 7503, 540, 519, 21340, 2229, 883, 513, 28983, 1222, 2417, 25302, 519, 3741, 540, 25399, 269, 1261, 1031, 1010, 2990, 547, 19597, 622, 1379, 267, 16401, 29926, 267, 543, 9004, 1022, 1761, 30347, 269, 901, 28051, 540, 1379, 4847, 23237, 547, 13861, 543, 1852, 519, 21340, 1062, 547, 9290, 1010, 1378, 2123, 16786, 563, 11101, 267, 23237, 779, 3527, 543, 4507, 4682, 1996, 519, 3741, 540, 3486, 25399, 269, 1261, 17479, 5128, 607, 606, 10546, 540, 519, 19797, 4139, 267, 799, 6322, 547, 26595, 21340, 5322, 5001, 269, 23237, 779, 1445, 593, 4509, 1010, 1378, 1379, 543, 1852, 1369, 519, 8168, 5742, 12042, 1229, 519, 2518, 3262, 543, 1646, 540, 25399, 563, 763, 9598, 31247, 12512, 3964, 676, 23237, 1185, 1279, 18835, 2360, 269, 898, 6038, 3366, 547, 519, 2123, 3375, 540, 631, 16554, 841, 717, 12643, 5995, 341, 547, 24905, 548, 519, 21340, 1062, 269, 8074, 602, 16851, 729, 10353, 676, 519, 13999, 998, 5318, 5322, 16030, 6634, 540, 1004, 267, 5473, 16716, 543, 26201, 269, 2201, 519, 824, 1688, 267, 25399, 1705, 711, 3068, 2591, 689, 519, 13999, 282, 2864, 267, 621, 729, 24905, 1194, 676, 519, 2123, 3375, 540, 513, 2582, 9598, 1807, 630, 294, 12643, 5995, 341, 264, 610, 513, 1360, 3908, 1895, 540, 2043, 269, 2334, 9598, 1807, 1909, 540, 8168, 5742, 6205, 729, 2813, 676, 808, 269, 1805, 16433, 2336, 26139, 281, 769, 4334, 547, 519, 2038, 5933, 540, 16851, 267, 1141, 1689, 543, 3356, 941, 9141, 676, 519, 7104, 3527, 540, 519, 1004, 267, 25399, 729, 6038, 10032, 676, 513, 1906, 2043, 269, 23237, 779, 25302, 4528, 540, 25399, 267, 13745, 609, 1010, 9598, 31247, 12512, 267, 2813, 513, 1062, 602, 729, 22691, 585, 6057, 543, 12879, 269, 901, 8711, 519, 8594, 540, 3850, 513, 2582, 1367, 547, 29937, 6207, 1379, 1369, 513, 2797, 16809, 269, 0, 3519, 3200, 8918, 547, 2600, 676, 2921, 519, 948, 540, 713, 1863, 1907, 8918, 547, 2600, 9498, 3177, 538, 713, 2985, 269, 15439, 4283, 519, 3403, 1871, 538, 519, 3403, 2361, 543, 538, 1100, 942, 596, 786, 1294, 519, 2626, 563, 1432, 568, 2725, 656, 676, 27252, 543, 20587, 888, 13356, 2711, 666, 581, 3989, 676, 519, 1297, 4171, 2898, 1297, 851, 543, 519, 8918, 851, 694, 704, 730, 676, 513, 8918, 1448, 269, 1656, 2600, 568, 519, 5223, 610, 6824, 540, 476, 1911, 269, 1280, 14291, 519, 8918, 547, 2600, 596, 991, 547, 9062, 676, 476, 1911, 543, 1039, 519, 6871, 3090, 563, 704, 1417, 720, 815, 8918, 265, 1911, 454, 1692, 547, 6460, 8918, 547, 2600, 888, 2171, 786, 1294, 519, 1900, 676, 1900, 1184, 593, 875, 547, 6460, 8918, 547, 2600, 454, 268, 1677, 6460, 8918, 1871, 547, 2600, 1871, 9062, 519, 8918, 1297, 609, 476, 1911, 563, 268, 3973, 267, 5410, 519, 6871, 3090, 693, 519, 1439, 563, 268, 1280, 14291, 1063, 8918, 547, 6871, 568, 533, 815, 546, 6398, 476, 1911, 454, 268, 3973, 596, 786, 1205, 519, 2626, 3362, 563, 3519, 31844, 8918, 547, 2600, 609, 606, 7151, 454, 9223, 281, 22417, 476, 271, 269, 1839, 883, 2600, 888, 11693, 8918, 1871, 568, 476, 271, 269, 1839, 454, 763, 16754, 547, 22417, 689, 27252, 547, 20587, 720, 568, 533, 815, 546, 6398, 476, 1911, 454, 20278, 519, 2418, 538, 519, 4542, 454, 335, 815, 476, 271, 269, 1839, 1535, 476, 1911, 454, 11997, 267, 476, 271, 269, 1839, 538, 6871, 568, 476, 1839, 18336, 13425, 856, 811, 13004, 2035, 693, 25092, 325, 10330, 2593, 269, 1635, 1210, 938, 1863, 9498, 2645, 596, 666, 1118, 707, 9273, 3362, 563, 11902, 17988, 593, 27252, 547, 20587, 720, 454, 272, 269, 1548, 568, 8918, 547, 2600, 888, 3519, 31844, 8918, 547, 2600, 568, 676, 14921, 8918, 609, 476, 1911, 543, 1039, 519, 6871, 563, 273, 269, 1548, 568, 519, 4542, 585, 8918, 547, 2600, 888, 13528, 3121, 547, 6460, 8918, 547, 2600, 568, 2600, 815, 8918, 2608, 1911, 454, 274, 269, 1215, 547, 8415, 27252, 547, 20587, 18185, 888, 9617, 1683, 519, 3403, 2418, 538, 519, 2016, 2361, 543, 7148, 519, 5173, 7735, 547, 1205, 519, 2626, 543, 596, 786, 1294, 2626, 14678, 269, 0, 13233, 22685, 5406, 4303, 476, 1708, 274, 281, 2817, 22685, 5406, 4303, 4386, 12422, 593, 5437, 476, 1240, 269, 898, 568, 29810, 547, 2446, 602, 476, 275, 267, 1822, 9772, 687, 941, 3803, 1242, 593, 519, 14349, 18631, 21175, 538, 476, 1001, 276, 269, 901, 1554, 568, 4767, 609, 2238, 2921, 1747, 2066, 519, 4182, 267, 543, 621, 568, 606, 8317, 950, 10470, 543, 2950, 12840, 538, 606, 4674, 547, 1747, 1453, 538, 519, 6536, 1416, 1062, 609, 15962, 3885, 269, 2201, 713, 2817, 22685, 5406, 4303, 267, 5215, 540, 6536, 1453, 616, 1373, 7550, 883, 8628, 5321, 563, 763, 3778, 540, 2817, 22685, 5406, 4303, 454, 13233, 22685, 5406, 4303, 568, 606, 11036, 547, 2721, 3007, 547, 519, 936, 476, 10219, 267, 1822, 1453, 538, 772, 2529, 269, 6536, 1416, 945, 616, 32261, 10073, 269, 2817, 22685, 5406, 4303, 729, 3964, 676, 513, 22687, 540, 3084, 8639, 267, 1519, 519, 25272, 7338, 7690, 585, 22685, 5406, 267, 6837, 1308, 29663, 593, 22685, 5406, 4659, 267, 19137, 585, 5753, 779, 7126, 267, 543, 5753, 779, 11059, 8416, 563, 1103, 476, 1220, 271, 267, 5722, 4872, 941, 9415, 676, 519, 22687, 543, 519, 12049, 23135, 5839, 7690, 547, 1930, 741, 10470, 593, 610, 1472, 519, 14349, 18631, 21175, 538, 1931, 547, 3803, 1125, 543, 8661, 6536, 1416, 9772, 687, 563, 28061, 27850, 267, 513, 5449, 1095, 4575, 9794, 540, 519, 19565, 7040, 540, 11968, 13353, 6019, 267, 3964, 519, 22305, 1116, 2817, 22685, 5406, 4303, 998, 1010, 21722, 7341, 269, 1635, 14123, 5480, 4238, 593, 590, 4405, 17058, 267, 21821, 532, 519, 6351, 540, 5480, 10986, 13538, 267, 543, 3803, 1944, 9772, 687, 267, 27850, 3927, 7339, 730, 519, 1394, 8421, 540, 835, 540, 519, 1034, 646, 8157, 10470, 538, 519, 2197, 563, 15430, 1836, 267, 8639, 1519, 14519, 267, 9439, 267, 543, 15156, 960, 538, 13447, 547, 10891, 891, 21496, 267, 782, 6377, 2621, 2066, 476, 6110, 4872, 538, 519, 2136, 2276, 269, 1306, 540, 713, 4090, 267, 476, 4037, 267, 1822, 6536, 1453, 779, 17050, 723, 1044, 7691, 998, 2817, 22685, 5406, 4303, 2238, 563, 3849, 9953, 687, 2272, 585, 5111, 476, 273, 2929, 4892, 12422, 267, 609, 5111, 476, 5611, 267, 1822, 9648, 538, 4357, 5468, 543, 606, 3606, 476, 2004, 267, 1822, 538, 6536, 1416, 269, 1520, 9953, 687, 689, 519, 2136, 2276, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2534, 630, 324, 3052, 1421, 11491, 592, 22889, 2173, 659, 5268, 720, 12733, 3613, 574, 6819, 3815, 1496, 14875, 4211, 306, 293, 3910, 22980, 6605, 334, 2884, 514, 1040, 2918, 267, 2767, 769, 1840, 267, 1585, 10659, 540, 29299, 666, 7520, 519, 2208, 540, 6565, 2281, 538, 20117, 630, 324, 3052, 1421, 14889, 268, 272, 267, 14889, 268, 274, 267, 14889, 268, 277, 267, 22980, 6605, 334, 2884, 514, 267, 543, 25745, 8426, 16748, 314, 338, 316, 1040, 769, 20117, 16198, 540, 1808, 5348, 1120, 2065, 1106, 27909, 540, 2322, 894, 6565, 1591, 5885, 5567, 609, 519, 3527, 540, 519, 3075, 10648, 4211, 306, 293, 17538, 602, 971, 10659, 540, 5567, 949, 538, 930, 6381, 2333, 5642, 2173, 5535, 6565, 1591, 18735, 547, 513, 4110, 3152, 982, 10648, 4211, 306, 293, 269, 2190, 6787, 20834, 1242, 32412, 666, 581, 25945, 9846, 543, 1267, 538, 1266, 2761, 618, 547, 5372, 30428, 610, 513, 4979, 8031, 3340, 2417, 7634, 282, 543, 713, 1641, 814, 13631, 3656, 27900, 609, 9431, 8128, 610, 834, 321, 870, 344, 21962, 257, 945, 1860, 519, 9042, 540, 8192, 9360, 269, 2764, 267, 3066, 454, 2467, 723, 1044, 1082, 23278, 4973, 5359, 540, 4324, 1739, 519, 946, 540, 9422, 8069, 547, 1489, 32412, 2497, 543, 1599, 267, 855, 891, 5359, 616, 7361, 538, 16499, 11102, 3898, 267, 1419, 10268, 593, 519, 5769, 538, 1617, 850, 767, 6725, 1344, 630, 6339, 1740, 9513, 1040, 1717, 267, 621, 568, 6444, 602, 32412, 616, 1419, 834, 339, 22568, 1808, 257, 538, 741, 554, 4040, 4162, 269, 272, 267, 1704, 267, 866, 267, 2420, 268, 2190, 5047, 267, 30428, 610, 28115, 908, 2281, 3132, 513, 3099, 540, 3114, 3190, 12310, 630, 324, 3052, 1421, 29299, 264, 610, 723, 19260, 540, 1591, 2627, 13364, 602, 949, 4482, 1065, 541, 894, 32412, 269, 272, 267, 1704, 267, 866, 589, 1883, 855, 3006, 15763, 3815, 538, 782, 32412, 2029, 568, 4027, 540, 519, 8246, 6565, 2281, 630, 514, 2198, 610, 608, 18100, 782, 690, 2761, 7245, 264, 689, 19842, 2566, 676, 519, 946, 540, 2699, 2135, 7059, 14434, 269, 6270, 14434, 949, 581, 1459, 538, 1896, 9422, 2188, 602, 3895, 6565, 1591, 2497, 543, 1599, 630, 324, 3052, 1421, 535, 1075, 2135, 13183, 514, 538, 535, 1075, 1355, 534, 25202, 6960, 13479, 1040, 1839, 267, 1789, 454, 7659, 12634, 3194, 454, 15703, 3744, 723, 4843, 8097, 610, 4791, 1344, 593, 519, 946, 540, 1808, 5567, 610, 27386, 338, 585, 519, 4254, 16478, 540, 32412, 269, 2537, 268, 1839, 1703, 814, 1044, 9645, 6514, 543, 15784, 7282, 519, 946, 540, 589, 23782, 714, 1580, 517, 1166, 657, 8584, 638, 2801, 630, 288, 11902, 267, 610, 4544, 25984, 13479, 264, 585, 946, 607, 606, 2573, 22083, 540, 6565, 1591, 4254, 16478, 267, 1851, 824, 1919, 269, 769, 5988, 476, 1220, 274, 267, 513, 4993, 5480, 12199, 602, 1082, 6898, 1031, 538, 519, 6725, 540, 513, 6216, 539, 1106, 540, 589, 11902, 941, 632, 21082, 269, 634, 5480, 12199, 602, 519, 946, 540, 713, 12146, 729, 2404, 609, 513, 3126, 540, 10229, 6811, 602, 941, 2150, 4902, 267, 4652, 15903, 267, 610, 2693, 547, 3765, 548, 611, 267, 547, 4756, 5232, 269, 2764, 267, 3066, 1717, 267, 811, 2487, 1382, 1131, 3100, 547, 17538, 602, 972, 568, 513, 3621, 4493, 585, 519, 946, 540, 589, 11902, 538, 519, 9422, 1489, 540, 6565, 1591, 4254, 16478, 269, 4029, 454, 1103, 1134, 8410, 2265, 539, 6901, 267, 21339, 540, 589, 11902, 5627, 513, 3209, 19826, 14385, 658, 14270, 663, 585, 1480, 700, 5498, 937, 514, 941, 3254, 547, 723, 606, 1271, 1909, 538, 6565, 1591, 7350, 269, 1323, 1349, 540, 589, 11902, 23353, 585, 513, 3209, 14270, 663, 585, 1480, 700, 5498, 937, 514, 729, 6594, 538, 8047, 543, 1480, 6901, 269, 700, 5498, 937, 514, 568, 606, 1383, 540, 513, 1591, 14194, 1127, 542, 11140, 602, 4249, 513, 1909, 538, 519, 12802, 543, 4254, 16478, 540, 5642, 2173, 5535, 6565, 2281, 883, 519, 11528, 10009, 269, 769, 5618, 267, 3744, 4951, 602, 5711, 7245, 540, 713, 1349, 540, 589, 11902, 8659, 606, 700, 5498, 937, 514, 3625, 518, 602, 8992, 519, 5305, 540, 6565, 2281, 689, 519, 5642, 20768, 676, 7679, 1359, 609, 519, 3252, 540, 595, 311, 10135, 275, 524, 655, 758, 710, 13364, 602, 616, 1808, 585, 588, 668, 531, 6508, 3815, 268, 272, 630, 306, 5263, 268, 272, 1040, 4029, 454, 12179, 7623, 602, 7679, 31013, 609, 595, 311, 10135, 275, 610, 590, 5263, 268, 272, 786, 3895, 6565, 1591, 4254, 16478, 269, 1452, 6901, 5473, 519, 7245, 540, 519, 589, 11902, 1349, 8507, 538, 513, 476, 1839, 260, 2333, 538, 519, 1297, 540, 21883, 6565, 2281, 693, 835, 5662, 2022, 611, 3439, 1674, 267, 538, 3425, 267, 3379, 609, 21897, 269, 25745, 2281, 941, 6027, 538, 1973, 5439, 676, 10747, 519, 4527, 540, 519, 7131, 4097, 266, 1591, 269, 1452, 2164, 941, 1336, 547, 581, 10063, 24862, 538, 3425, 269, 634, 3744, 29499, 602, 519, 4254, 16478, 540, 6565, 2281, 5701, 676, 606, 700, 5498, 937, 514, 3625, 518, 5526, 547, 581, 540, 513, 2539, 9588, 543, 3152, 1098, 1466, 540, 2360, 982, 666, 581, 6913, 676, 519, 7245, 540, 11491, 592, 22889, 12733, 3613, 574, 6819, 3815, 630, 294, 4211, 306, 293, 1040, 769, 5094, 6901, 267, 3744, 723, 6069, 602, 606, 8476, 1377, 540, 21883, 7131, 4097, 266, 6565, 2281, 513, 10257, 13525, 540, 1434, 1072, 269, 4029, 454, 15703, 5567, 2408, 547, 723, 606, 1198, 593, 20834, 1944, 5642, 2173, 5535, 32412, 610, 588, 668, 531, 2281, 269, 1280, 1383, 267, 6171, 667, 543, 476, 272, 267, 1839, 26817, 5139, 32611, 341, 9559, 667, 274, 616, 1110, 22399, 540, 1896, 4761, 3252, 267, 1519, 606, 2702, 547, 12954, 519, 2504, 540, 28738, 3218, 2281, 269, 3953, 769, 1840, 267, 522, 548, 545, 543, 13274, 1961, 545, 7408, 723, 1044, 3254, 547, 3895, 519, 18735, 540, 15499, 6565, 2281, 543, 22104, 641, 16211, 2045, 24888, 2281, 267, 6606, 269, 3451, 267, 4097, 10395, 5209, 540, 891, 2241, 5567, 1106, 513, 1713, 5057, 540, 1022, 1587, 1031, 585, 6565, 1591, 1489, 282, 543, 789, 616, 2693, 547, 957, 9108, 543, 5348, 1120, 12264, 609, 1808, 32412, 2173, 984, 559, 9088, 267, 971, 607, 589, 11902, 269, 1839, 634, 1379, 540, 5348, 1458, 538, 519, 946, 540, 10659, 540, 5567, 543, 27386, 338, 814, 1044, 12006, 538, 2487, 2090, 676, 645, 1157, 5112, 1696, 620, 269, 630, 1220, 277, 1040, 2190, 769, 835, 1271, 1353, 267, 789, 9333, 809, 8047, 630, 514, 20117, 264, 2090, 547, 4983, 519, 2702, 540, 1978, 2067, 6878, 630, 18133, 15869, 11472, 338, 264, 547, 960, 5348, 1120, 12264, 547, 3895, 519, 18735, 540, 1480, 32412, 563, 1103, 891, 2090, 267, 519, 3744, 9859, 741, 3007, 547, 22104, 641, 16211, 2045, 630, 14752, 2173, 5535, 264, 6565, 2281, 267, 609, 519, 1702, 602, 891, 2010, 540, 32412, 616, 1031, 22991, 538, 519, 5266, 1455, 2259, 540, 1480, 5642, 2173, 5535, 24328, 269, 1452, 2090, 1397, 602, 1978, 5567, 610, 27386, 21555, 941, 2111, 547, 12954, 5642, 2173, 5535, 1591, 18735, 538, 513, 6073, 602, 729, 9570, 17466, 282, 602, 568, 267, 1644, 547, 519, 2179, 540, 519, 13950, 2067, 6878, 269, 2190, 454, 763, 6901, 676, 645, 1157, 5112, 1696, 620, 269, 941, 5340, 1210, 513, 2318, 1852, 6219, 1634, 547, 12954, 5642, 2173, 5535, 6565, 1591, 2534, 269, 634, 2318, 1852, 6219, 1031, 538, 891, 6901, 729, 10648, 4211, 306, 293, 269, 901, 14453, 568, 1419, 11311, 22991, 547, 25559, 2427, 2360, 540, 6757, 5061, 1031, 538, 2860, 5574, 269, 2918, 6314, 6139, 8427, 5061, 1419, 1267, 538, 5642, 2173, 5535, 3441, 543, 21109, 540, 4761, 1599, 563, 3528, 1210, 10648, 4211, 306, 293, 607, 513, 1852, 267, 519, 3744, 1223, 1118, 8047, 10526, 540, 519, 2702, 540, 1585, 10659, 540, 2428, 15869, 11472, 338, 630, 333, 19153, 610, 27386, 338, 264, 547, 16578, 2318, 2360, 593, 519, 14242, 543, 4254, 16478, 540, 5642, 2173, 5535, 6565, 2281, 269, 2190, 634, 2318, 1852, 267, 1210, 10648, 4211, 306, 293, 267, 8507, 538, 606, 17191, 14242, 540, 5642, 2173, 5535, 1591, 2504, 676, 513, 3815, 540, 827, 476, 5379, 10065, 2190, 2755, 713, 2702, 547, 12954, 5642, 2173, 5535, 1591, 18735, 729, 811, 8101, 982, 519, 946, 540, 1022, 2582, 8770, 610, 2067, 6219, 896, 7634, 267, 519, 5916, 946, 540, 2067, 6878, 630, 18133, 15869, 11472, 338, 264, 8507, 538, 513, 3152, 2333, 538, 5642, 2173, 5535, 1591, 18735, 982, 729, 4767, 609, 10648, 4211, 306, 293, 269, 2190, 769, 824, 1913, 267, 538, 891, 6901, 267, 10659, 540, 5567, 543, 27386, 338, 630, 11499, 8069, 264, 5249, 1732, 982, 519, 1852, 3075, 10648, 4211, 306, 293, 269, 2190, 454, 2005, 568, 4143, 547, 4063, 602, 1896, 2428, 15869, 11472, 338, 602, 3895, 32412, 2504, 723, 513, 4324, 540, 15934, 3527, 602, 949, 948, 2061, 8697, 610, 21883, 32412, 689, 19842, 2566, 630, 16451, 268, 2784, 673, 5108, 1040, 7621, 573, 894, 2566, 666, 4323, 519, 23812, 543, 10556, 519, 5732, 6225, 3252, 540, 834, 560, 574, 4327, 257, 610, 834, 332, 984, 28895, 257, 32412, 269, 1839, 454, 2005, 568, 3833, 3407, 547, 4983, 538, 1469, 1175, 875, 3532, 519, 5348, 1120, 2065, 2360, 540, 8770, 543, 27386, 10659, 2965, 616, 593, 5642, 2173, 5535, 1591, 18735, 269, 645, 1157, 5112, 1696, 620, 269, 4951, 602, 513, 4999, 540, 4544, 9440, 543, 3039, 7401, 21555, 3361, 1808, 2010, 540, 5642, 2173, 5535, 1591, 18735, 676, 513, 3815, 540, 909, 547, 476, 3583, 260, 282, 543, 513, 2241, 4999, 540, 4544, 9440, 1349, 609, 6171, 667, 274, 3361, 606, 2333, 540, 827, 476, 7830, 10065, 1879, 4544, 9440, 1349, 729, 5916, 609, 1286, 333, 27343, 267, 606, 2333, 538, 18735, 540, 5642, 2173, 5535, 2281, 729, 4767, 547, 581, 827, 476, 10695, 10065, 2190, 454, 763, 6901, 540, 645, 1157, 5112, 1696, 620, 269, 941, 2417, 6905, 547, 519, 1353, 540, 1585, 2067, 6878, 630, 18133, 15869, 11472, 338, 264, 593, 519, 14242, 540, 6565, 2281, 538, 519, 5642, 20768, 269, 2190, 32412, 666, 581, 4857, 543, 5302, 27935, 676, 8446, 540, 2627, 26898, 630, 331, 1987, 2218, 12508, 1040, 589, 1434, 1383, 540, 519, 4527, 540, 971, 2627, 26898, 568, 519, 8446, 540, 7131, 15836, 266, 610, 7131, 4097, 266, 18970, 3146, 1061, 528, 7215, 269, 769, 519, 6901, 267, 519, 3075, 10648, 4211, 306, 293, 2799, 7131, 4097, 266, 543, 7131, 15836, 266, 630, 22022, 6565, 2281, 264, 676, 513, 3815, 540, 827, 476, 4366, 9077, 855, 513, 4999, 540, 519, 2067, 6878, 1286, 333, 27343, 267, 4544, 9440, 1349, 267, 3039, 7401, 1349, 267, 543, 6171, 667, 274, 729, 14984, 269, 2190, 901, 4999, 2799, 519, 2038, 6565, 2281, 676, 513, 3815, 540, 476, 6924, 10065, 2190, 898, 568, 11815, 4328, 547, 1294, 875, 5348, 1120, 2065, 10659, 540, 2067, 6878, 630, 5976, 1100, 1713, 8801, 2360, 264, 666, 3006, 856, 704, 845, 7199, 13310, 5061, 267, 971, 607, 10648, 4211, 306, 293, 267, 538, 713, 2796, 563, 763, 946, 540, 32420, 538, 18398, 6565, 1591, 2504, 814, 1044, 607, 8282, 547, 519, 2702, 540, 1950, 11950, 630, 325, 1075, 1355, 753, 1070, 8659, 1369, 32420, 267, 547, 3895, 32412, 5305, 689, 5642, 2173, 5535, 8637, 883, 519, 15672, 1973, 610, 2489, 10009, 269, 3607, 268, 4375, 2755, 535, 1075, 1355, 753, 949, 12622, 609, 4017, 549, 4565, 770, 2208, 2188, 543, 3895, 2587, 328, 14003, 630, 2908, 1973, 6077, 2208, 1070, 789, 723, 6375, 558, 617, 6819, 267, 4550, 13611, 3601, 269, 3607, 268, 4375, 4911, 328, 14003, 814, 1044, 12006, 607, 606, 1271, 1184, 538, 1480, 6565, 1591, 1266, 2761, 618, 269, 272, 454, 2419, 5142, 667, 269, 2725, 2280, 529, 267, 27020, 267, 814, 6537, 3007, 547, 519, 6565, 1591, 19349, 1761, 540, 535, 1075, 1355, 534, 1336, 538, 7286, 13479, 269, 3607, 901, 30713, 21839, 728, 7623, 267, 1336, 538, 11606, 538, 530, 752, 877, 32420, 267, 814, 1044, 3254, 547, 11851, 3310, 593, 519, 4254, 16478, 540, 32361, 28738, 3218, 2281, 267, 2404, 609, 519, 25465, 540, 971, 2281, 883, 29769, 545, 5160, 269, 898, 1131, 2408, 602, 535, 1075, 1355, 534, 6411, 998, 519, 25244, 540, 519, 2534, 540, 590, 5263, 268, 272, 269, 769, 1840, 267, 621, 5526, 602, 535, 1075, 1355, 534, 814, 605, 30231, 8328, 2534, 799, 568, 1360, 1271, 538, 519, 7816, 540, 5160 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 698, 299, 5271, 3004, 1231, 281, 8111, 17238, 2032, 4112, 7134, 454, 19400, 2257, 7044, 2228, 543, 1451, 875, 21367, 832, 267, 6419, 4610, 543, 6419, 26550, 2787, 960, 267, 689, 13441, 1790, 15619, 547, 4012, 4582, 14884, 693, 634, 9622, 7217, 17807, 267, 606, 2228, 7317, 2257, 9754, 827, 11944, 563, 1607, 2203, 5721, 3568, 513, 4062, 540, 21367, 532, 1570, 269, 634, 21367, 528, 1065, 1564, 519, 6419, 3950, 267, 4929, 519, 5721, 547, 10581, 563, 1692, 1281, 21367, 532, 26550, 2787, 960, 888, 4263, 4055, 2837, 267, 950, 519, 21367, 532, 12210, 568, 538, 922, 3339, 1875, 1606, 10967, 17238, 532, 1533, 267, 519, 11275, 781, 2361, 1107, 8612, 538, 519, 3381, 676, 2361, 3515, 1107, 666, 1780, 998, 519, 12210, 282, 18867, 267, 972, 568, 1100, 1065, 13955, 543, 519, 11275, 18795, 593, 519, 12210, 269, 1879, 519, 12210, 568, 22799, 883, 922, 21367, 532, 1533, 267, 621, 1163, 1564, 519, 11275, 781, 2361, 267, 11319, 909, 519, 11275, 267, 543, 4929, 621, 547, 10581, 269, 901, 568, 513, 17431, 540, 519, 2725, 1170, 1676, 14114, 577, 11420, 26709, 1198, 563, 21430, 513, 630, 289, 611, 264, 21541, 454, 10303, 21367, 832, 1163, 601, 6419, 4610, 267, 513, 3950, 2813, 689, 9343, 540, 22197, 267, 1142, 476, 274, 22197, 2066, 609, 20367, 3345, 4149, 1926, 9539, 2180, 18635, 267, 607, 3254, 267, 666, 26550, 10028, 513, 21367, 528, 269, 1809, 1247, 713, 1198, 666, 1832, 519, 21367, 528, 17735, 267, 621, 3085, 1405, 723, 519, 4229, 2556, 547, 1832, 519, 21367, 528, 834, 30221, 257, 593, 519, 3950, 282, 3079, 519, 21367, 528, 3362, 8813, 1055, 269, 1548, 781, 2877, 547, 1118, 513, 1434, 21367, 528, 5721, 602, 786, 3251, 593, 3950, 286, 589, 7613, 1572, 13441, 8930, 940, 563, 307, 4459, 540, 5900, 16670, 281, 12071, 343, 623, 15619, 454, 2691, 1978, 2010, 540, 21367, 832, 616, 22799, 538, 519, 4527, 540, 513, 11275, 630, 1993, 3617, 4222, 1070, 8546, 6438, 2127, 540, 519, 1570, 2611, 538, 519, 1875, 1606, 10967, 17238, 532, 1533, 269, 1452, 13740, 3136, 547, 1450, 519, 6419, 2361, 547, 1780, 267, 1256, 607, 519, 4478, 1570, 3587, 21367, 532, 543, 1163, 1564, 519, 2361, 269, 5221, 519, 3877, 540, 891, 13740, 616, 1808, 547, 519, 6419, 2361, 789, 941, 4646, 1472, 267, 1022, 1689, 538, 519, 21367, 528, 779, 2990, 3448, 547, 519, 2361, 1131, 7519, 519, 2361, 779, 2095, 998, 519, 13740, 543, 1942, 1648, 269, 1306, 513, 1267, 267, 519, 21367, 528, 3788, 8930, 2740, 547, 519, 11275, 563, 1805, 11691, 593, 25397, 281, 589, 6153, 21541, 454, 293, 12999, 1790, 15619, 8952, 513, 1434, 5721, 593, 3950, 269, 5221, 519, 6419, 2361, 32338, 908, 689, 519, 3950, 568, 519, 1482, 782, 2059, 519, 3950, 267, 519, 13441, 1790, 514, 2740, 21367, 528, 666, 1847, 2059, 519, 3950, 1510, 27200, 519, 16290, 2361, 3515, 269, 28073, 540, 519, 21367, 528, 1055, 610, 2476, 689, 519, 3950, 267, 2705, 267, 1131, 2154, 27200, 891, 2361, 3515, 267, 799, 3790, 1648, 269, 901, 1942, 8952, 519, 5721, 689, 6028, 519, 3950, 267, 7175, 621, 547, 1246, 1472, 14258, 269, 20330, 265, 9616, 602, 1247, 5010, 21367, 532, 6419, 26550, 2787, 14884, 798, 2291, 267, 789, 7500, 593, 1114, 3741, 982, 519, 2203, 14884, 3254, 1934, 563, 1432, 3657, 25080, 12197, 20514, 888, 13434, 718, 602, 782, 22197, 267, 899, 519, 835, 3254, 1934, 267, 723, 513, 5087, 630, 301, 264, 543, 5045, 630, 306, 264, 15393, 269, 1879, 1079, 22197, 616, 4547, 1927, 267, 741, 968, 684, 3697, 892, 18635, 630, 301, 543, 590, 264, 786, 4482, 1142, 824, 269, 17957, 267, 741, 968, 3697, 892, 18635, 630, 301, 543, 715, 267, 610, 590, 543, 590, 264, 786, 1065, 601, 1142, 824, 269, 12207, 2721, 968, 7615, 3515, 892, 1472, 513, 11275, 547, 5815, 875, 513, 22315, 630, 6518, 568, 1175, 1776, 6263, 11275, 264, 1131, 4431, 547, 602, 11275, 693, 1142, 1448, 269, 4706, 5087, 15393, 630, 19990, 264, 15244, 856, 519, 11275, 781, 2361, 3515, 543, 14550, 519, 11275, 781, 3196, 2361, 563, 1692, 6496, 513, 8111, 17238, 528, 5890, 601, 513, 25080, 12197, 888, 2691, 513, 21367, 528, 568, 5116, 9566, 547, 513, 11275, 267, 3167, 14768, 1106, 2282, 519, 2627, 540, 519, 21367, 528, 269, 1452, 14768, 1106, 538, 1175, 519, 1318, 1259, 547, 5352, 513, 6419, 2361, 3330, 519, 21367, 528, 602, 4010, 666, 26118, 519, 2361, 689, 519, 7404, 11275, 267, 6028, 519, 9703, 540, 519, 21367, 528, 609, 4642, 6419, 2361, 269, 1452, 14768, 849, 1689, 519, 2361, 3544, 540, 519, 21367, 528, 267, 543, 519, 2121, 1198, 568, 519, 1163, 13955, 540, 2361, 3515, 689, 3330, 519, 21367, 528, 547, 3544, 519, 21367, 528, 563, 307, 25683, 543, 966, 677, 1182, 454, 763, 6302, 1063, 519, 8546, 6438, 267, 1875, 1606, 10967, 17238, 532, 2127, 543, 519, 4478, 21367, 532, 3148, 616, 2813, 676, 6263, 267, 627, 20071, 23051, 11057, 3167, 14768, 267, 1572, 642, 677, 1182, 269, 1452, 627, 20071, 23051, 14768, 5352, 513, 666, 576, 1782, 2361, 538, 519, 4478, 3148, 630, 324, 977, 1947, 1163, 2454, 519, 11275, 779, 2361, 1070, 855, 711, 538, 741, 3844, 23780, 630, 6518, 1831, 519, 13740, 998, 799, 519, 11275, 779, 2361, 666, 1780, 1040, 2755, 538, 513, 9985, 6986, 1570, 267, 891, 642, 677, 1182, 1223, 1847, 1472, 11884, 267, 519, 12889, 543, 23606, 1336, 538, 1034, 2326, 15972, 519, 642, 677, 1182, 267, 1818, 621, 10069, 13443, 14427, 585, 873, 547, 1847, 538, 3210, 547, 2242, 538, 519, 11275, 779, 2361, 269, 0, 12709, 23645, 10334, 454, 16521, 693, 2547, 1079, 1591, 31759, 269, 1548, 1281, 1142, 1418, 16279, 798, 286, 1548, 2242, 1131, 2049, 538, 519, 1591, 952, 707, 1101, 1418, 16279, 3576, 936, 782, 519, 11645, 540, 519, 2034, 1418, 16279, 888, 31535, 602, 3679, 4764, 814, 513, 9063, 540, 476, 273, 910, 476, 274, 1131, 596, 9959, 602, 7693, 2249, 609, 513, 7522, 3037, 9063, 2039, 616, 538, 8373, 286, 11512, 1946, 267, 610, 1946, 711, 267, 1210, 3621, 7744, 269, 1772, 3679, 4764, 513, 1966, 585, 2030, 2249, 543, 4429, 28733, 569, 2491, 1946, 1072, 6364, 568, 865, 1454, 811, 982, 513, 4999, 540, 1072, 1416, 267, 1367, 5615, 267, 543, 5924, 11976, 888, 5331, 596, 798, 513, 1449, 3444, 1063, 513, 13711, 32704, 1229, 890, 320, 2030, 2348, 1583, 3603, 3762, 630, 320, 8789, 16023, 264, 543, 513, 3043, 32704, 1229, 890, 320, 2030, 2348, 5347, 8728, 269, 1403, 519, 13711, 32704, 1229, 2030, 568, 10636, 27340, 748, 585, 1312, 7592, 267, 4429, 272, 264, 6904, 1826, 540, 8043, 267, 16209, 267, 610, 15532, 267, 814, 811, 4887, 11103, 286, 1548, 568, 519, 6198, 4644, 540, 713, 286, 476, 273, 264, 769, 2489, 267, 649, 723, 1100, 6857, 1852, 936, 5347, 4887, 610, 13487, 4887, 1599, 267, 6466, 649, 666, 4429, 20458, 540, 8935, 23336, 281, 8940, 4877, 2125, 3820, 11320, 326, 321, 327, 11721, 3224, 1467, 11721, 559, 332, 270, 30873, 6361, 1673, 12874, 339, 270, 713, 3381, 568, 827, 476, 272, 5662, 4585, 269, 25175, 945, 2626, 713, 2243, 5578, 713, 3381, 909, 547, 476, 1839, 2381, 1287, 4585, 519, 1964, 269, 476, 272, 269, 5808, 568, 7585, 16016, 5894, 543, 1018, 1838, 4429, 272, 269, 1215, 1281, 15074, 32661, 2803, 529, 4990, 5027, 15998, 286, 476, 273, 269, 1403, 1142, 1367, 814, 971, 513, 1507, 2179, 540, 5027, 267, 875, 798, 519, 13164, 593, 519, 15074, 2270, 2614, 5027, 547, 581, 7298, 286, 476, 274, 269, 3509, 6090, 1152, 723, 513, 1906, 2009, 27586, 269, 1280, 4429, 1432, 568, 519, 3017, 1063, 519, 2634, 543, 6147, 1962, 636, 286, 1548, 616, 519, 1292, 2694, 540, 891, 3889, 286, 1215, 568, 519, 6147, 1962, 636, 20133, 558, 1227, 5258, 286, 1215, 568, 621, 1785, 12147, 6045, 602, 519, 5179, 2534, 540, 519, 2451, 2427, 540, 512, 4429, 10214, 519, 1034, 10995, 9614, 568, 12155, 547, 2123, 12886, 543, 25354, 602, 666, 1291, 547, 3983, 3664, 269, 1284, 782, 4163, 12886, 1759, 593, 938, 2123, 2833, 269, 1656, 649, 666, 782, 2887, 883, 1585, 20637, 602, 1291, 547, 20068, 328, 4429, 2252, 1480, 2534, 610, 2067, 2534, 630, 327, 584, 21814, 264, 30001, 513, 1978, 2249, 267, 1018, 12343, 1522, 713, 723, 593, 519, 1604, 888, 2171, 782, 1294, 2831, 538, 938, 1554, 547, 1554, 2729, 269, 7994, 513, 2623, 596, 4718, 17820, 676, 606, 3662, 269, 11512, 707, 4555, 593, 519, 1761, 9938, 1493, 543, 10700, 3123, 540, 519, 2623, 563, 9359, 4597, 532, 538, 707, 20043, 2676, 7476, 948, 609, 12143, 454, 2237, 721, 707, 2407, 10421, 585, 6268, 543, 596, 786, 4309, 3210, 1369, 476, 736, 3764, 2490, 19925, 942, 563, 306, 4488, 3582, 21450, 630, 320, 264, 769, 606, 2311, 6229, 10724, 267, 15475, 1079, 3615, 540, 21376, 2527, 616, 8288, 19794, 936, 513, 11508, 1652, 454, 8512, 476, 272, 281, 1411, 960, 538, 15679, 585, 513, 2754, 602, 13333, 513, 12051, 5663, 4017, 1120, 20199, 269, 1703, 616, 1896, 4627, 900, 680, 454, 291, 4953, 288, 6579, 306, 10396, 5084, 309, 3198, 290, 3633, 8028, 4596, 7419, 16249, 623, 4338, 2207, 901, 1957, 568, 5497, 585, 1053, 547, 4019, 519, 7811, 1702, 1472, 1035, 454, 8620, 513, 8502, 6538, 543, 1644, 5359, 543, 14511, 547, 7001, 3346, 1344, 585, 1761, 7193, 5057, 605, 454, 27855, 1018, 596, 4121, 827, 519, 1764, 540, 2804, 267, 1514, 267, 543, 15295, 3466, 7133, 519, 2475, 4074, 679, 1333, 5443, 454, 15100, 14645, 476, 1001, 274, 268, 1691, 1250, 6919, 1828, 2593, 2353, 2924, 11603, 0, 291, 528, 18333, 24230, 1231, 7288, 267, 20289, 21025, 6756, 17384, 267, 543, 24697, 27850, 282, 3594, 676, 7788, 645, 9567, 2023, 543, 20182, 26425, 454, 26773, 16225, 267, 476, 24374, 533, 1421, 476, 3374, 536, 11320, 543, 476, 28360, 2681, 2192, 639, 563, 310, 728, 569, 1634, 585, 1010, 7524, 543, 5499, 2413, 626, 10367, 543, 1568, 593, 1957, 267, 28741, 4223, 23579, 630, 5908, 280, 1700, 4198, 275, 264, 3812, 513, 1804, 1297, 540, 18810, 602, 941, 8449, 14262, 269, 901, 3312, 543, 20662, 880, 569, 11609, 1433, 12116, 811, 982, 17288, 540, 4223, 23579, 779, 18810, 543, 26082, 873, 609, 1010, 10367, 267, 12400, 267, 16493, 267, 543, 2458, 1137, 547, 8495, 519, 2078, 1063, 1010, 1079, 8820, 543, 1614, 8820, 960, 563, 32487, 1459, 606, 7650, 540, 4223, 23579, 779, 3860, 8798, 538, 17001, 543, 2232, 1010, 9380, 1116, 1184, 689, 4098, 547, 1439, 269, 634, 4320, 6799, 519, 2164, 540, 3078, 1007, 2930, 2090, 593, 4223, 23579, 779, 2324, 543, 16213, 2409, 269, 589, 5542, 540, 1568, 593, 1957, 267, 10367, 267, 543, 11147, 21048, 2812, 519, 4720, 540, 1010, 9380, 1116, 2093, 1765, 14683, 2775, 532, 519, 2956, 540, 12400, 547, 1010, 1184, 11652, 7710, 519, 4241, 3390, 540, 1946, 646, 1419, 13556, 2592, 540, 1010, 18810, 883, 1082, 540, 1010, 2101, 1568, 269, 5246, 2526, 543, 10380, 11147, 7866, 875, 4223, 23579, 8385, 5497, 1010, 1568, 547, 581, 9763, 269, 4223, 23579, 281, 10266, 614, 607, 31493, 696, 528, 849, 12116, 519, 7376, 779, 960, 538, 519, 2796, 540, 3735, 268, 866, 628, 1700, 663, 2038, 268, 736, 628, 10601, 17001, 269, 3718, 676, 30097, 645, 3757, 322, 639, 328, 267, 6754, 595, 2946, 345, 22828, 267, 19499, 1729, 717, 13519, 2210, 16210, 267, 10496, 13196, 700, 2354, 577, 6308, 267, 543, 4864, 324, 14339, 514, 2232, 1271, 2055, 540, 3310, 267, 25505, 267, 543, 519, 2495, 540, 2413, 1143, 538, 4223, 23579, 779, 17001, 563, 1607, 32562, 729, 3370, 538, 14966, 609, 606, 14266, 693, 634, 22768, 7467, 540, 3203, 267, 5239, 476, 2764, 267, 476, 1220, 278, 1700, 21938, 476, 274, 267, 476, 1220, 279, 269, 0, 14737, 3588, 26472, 9540, 10281, 1886, 1077, 12518, 454, 763, 1648, 18591, 6663, 547, 2333, 519, 1297, 540, 2890, 31622, 1886, 1077, 2371, 630, 20791, 543, 5420, 4336, 1070, 543, 3976, 814, 4857, 6753, 538, 476, 1691, 16899, 547, 713, 1439, 267, 2212, 540, 519, 1648, 18591, 781, 4065, 267, 3194, 267, 543, 3163, 4972, 9307, 10732, 563, 14946, 618, 4566, 786, 581, 2966, 538, 8167, 547, 1216, 14768, 269, 2755, 10451, 5201, 267, 19558, 1077, 2371, 849, 2569, 2604, 540, 519, 1216, 3892, 5121, 267, 594, 6020, 289, 20926, 670, 657, 572, 514, 12844, 752, 323, 926, 607, 6031, 563, 19859, 31622, 549, 1379, 568, 519, 1507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 2414, 519, 769, 4725, 527, 1218, 540, 519, 4032, 625, 540, 19903, 2120, 269, 3840, 267, 543, 595, 3784, 1633, 563, 2108, 293, 12188, 543, 13474, 5443, 454, 2108, 18455, 12212, 693, 519, 3786, 693, 12049, 20143, 513, 1906, 2395, 2094, 267, 594, 1336, 519, 4937, 543, 10492, 5393, 608, 28771, 730, 593, 2272, 540, 741, 711, 1373, 13859, 609, 9640, 543, 1286, 17699, 267, 799, 1185, 1044, 4397, 689, 713, 11662, 267, 607, 1034, 2111, 547, 29939, 873, 282, 855, 267, 998, 519, 4744, 5014, 1063, 938, 17135, 543, 13909, 267, 2724, 1185, 711, 1044, 3177, 267, 6862, 1022, 3268, 3144, 585, 602, 3483, 563, 17606, 729, 6069, 547, 6494, 606, 11439, 3196, 5612, 883, 891, 17521, 267, 547, 28958, 607, 1082, 540, 519, 1655, 1286, 17699, 543, 9640, 607, 1058, 581, 4941, 267, 543, 735, 601, 607, 1082, 7606, 883, 519, 3028, 607, 1131, 581, 2556, 547, 5397, 543, 1491, 1416, 540, 873, 563, 14881, 25370, 9150, 267, 602, 519, 3356, 540, 3703, 7980, 998, 891, 17521, 593, 971, 606, 8317, 267, 2523, 6236, 519, 2191, 789, 616, 538, 267, 543, 741, 32659, 1996, 721, 267, 1131, 581, 13984, 609, 1082, 543, 1390, 28842, 7891, 547, 519, 11317, 267, 543, 4061, 811, 786, 5944, 3576, 519, 8373, 540, 3843, 1101, 1018, 1522, 581, 2944, 676, 4023, 543, 1775, 336, 324, 17014, 1797, 269, 634, 1004, 540, 891, 1394, 17521, 723, 25015, 5360, 7134, 547, 519, 13909, 267, 602, 513, 6190, 9304, 729, 16462, 282, 596, 723, 606, 4316, 540, 8391, 543, 12270, 1851, 596, 513, 1360, 9645, 2040, 282, 585, 267, 952, 519, 3028, 540, 713, 16939, 1058, 3136, 267, 607, 621, 568, 811, 982, 21483, 621, 786, 267, 585, 835, 4627, 543, 8938, 2395, 267, 519, 16926, 540, 891, 530, 30368, 543, 9640, 786, 2179, 547, 20733, 540, 13977, 8536, 6550, 282, 799, 786, 581, 6976, 596, 538, 8988, 543, 4154, 267, 540, 519, 3751, 779, 2724, 563, 10527, 3028, 786, 581, 1769, 543, 2653, 267, 585, 519, 7952, 786, 17077, 15292, 1657, 12964, 5195, 829, 1554, 267, 543, 519, 530, 30368, 543, 9126, 16372, 9640, 267, 607, 789, 4163, 1346, 1919, 602, 616, 11613, 2556, 547, 519, 10304, 540, 519, 7952, 267, 1590, 15292, 609, 519, 7952, 267, 543, 1100, 5488, 282, 543, 616, 267, 585, 519, 7952, 779, 19160, 267, 2141, 5116, 1141, 789, 666, 581, 1034, 5150, 267, 2436, 538, 513, 15292, 610, 538, 513, 3786, 563, 28490, 596, 616, 2731, 267, 607, 594, 3494, 596, 616, 267, 1434, 543, 10121, 5396, 547, 1010, 20727, 17965, 267, 596, 949, 1631, 798, 513, 1034, 11807, 3028, 267, 543, 1118, 621, 2653, 547, 707, 2383, 282, 585, 1614, 610, 2185, 540, 971, 607, 3112, 14384, 22302, 689, 519, 1870, 540, 741, 24914, 267, 513, 530, 6782, 543, 2185, 9640, 543, 513, 9920, 267, 949, 798, 621, 1927, 282, 835, 7677, 5109, 519, 530, 6782, 267, 1776, 835, 610, 1079, 9640, 267, 543, 1776, 519, 9920, 267, 543, 7941, 519, 2628, 8167, 2406, 1063, 596, 269, 1809, 267, 952, 596, 798, 711, 713, 3028, 547, 707, 3751, 543, 2197, 32380, 267, 950, 971, 1434, 2628, 543, 10257, 2474, 616, 6035, 547, 596, 267, 707, 14017, 786, 581, 9244, 16143, 269, 634, 3751, 779, 1870, 1590, 581, 2944, 282, 865, 1082, 12703, 10136, 267, 2097, 865, 2484, 585, 707, 20237, 267, 1590, 711, 1796, 7329, 548, 998, 707, 18807, 1145, 547, 798, 1018, 949, 581, 21230, 4397, 689, 596, 282, 530, 30368, 543, 9640, 1590, 581, 1185, 282, 10795, 3800, 786, 4440, 581, 1031, 282, 543, 596, 786, 581, 2451, 547, 3343, 585, 513, 973, 20234, 1619, 1141, 596, 666, 1265, 621, 267, 543, 707, 2013, 5310, 581, 2370, 8486, 1221, 610, 9833, 563, 14881, 723, 1100, 1880, 1719, 538, 713, 26035, 267, 607, 267, 4849, 519, 9547, 540, 14365, 28666, 547, 798, 1434, 267, 594, 4927, 723, 1152, 1250, 11668, 585, 1250, 24074, 269, 1403, 713, 1505, 540, 13844, 519, 530, 30368, 543, 9640, 568, 711, 2693, 547, 8011, 267, 594, 993, 8078, 539, 547, 6494, 2262, 547, 519, 4937, 538, 27552, 2395, 282, 543, 594, 15475, 11184, 3627, 853, 269, 1849, 1515, 267, 519, 554, 1380, 541, 267, 609, 513, 1560, 540, 7980, 267, 786, 5612, 4283, 519, 11662, 585, 519, 3483, 282, 799, 594, 4927, 581, 20994, 547, 5873, 267, 1317, 594, 993, 1360, 25442, 569, 543, 5963, 707, 3659, 543, 1134, 2914, 8718, 2676, 296, 4607, 540, 519, 4937, 827, 5216, 4627, 6550, 267, 547, 581, 771, 321, 2720, 539, 538, 4434, 2724, 547, 519, 530, 6782, 5411, 282, 855, 267, 602, 2040, 1373, 13385, 267, 594, 4359, 20733, 540, 1079, 4627, 6550, 811, 282, 543, 538, 1079, 4374, 519, 835, 4627, 543, 15823, 530, 30368, 267, 609, 1079, 4627, 543, 15823, 5991, 710, 8876, 9640, 267, 941, 593, 741, 15292, 585, 519, 3786, 269, 634, 29275, 16219, 8569, 2687, 547, 519, 29925, 267, 538, 2013, 1022, 530, 30368, 610, 9640, 1058, 581, 4503, 269, 634, 5411, 267, 2705, 267, 10246, 3101, 789, 1705, 711, 917, 4937, 17659, 323, 1442, 267, 610, 1018, 13829, 1522, 581, 1185, 593, 1010, 9153, 267, 29739, 593, 1250, 6125, 585, 519, 2773, 282, 799, 594, 9935, 5795, 873, 563, 4407, 594, 729, 693, 519, 3786, 267, 1139, 532, 835, 10543, 609, 519, 10492, 540, 29962, 14480, 8663, 779, 31458, 267, 646, 6719, 547, 803, 1010, 6161, 585, 519, 1016, 531, 3179, 267, 945, 267, 646, 1767, 267, 941, 3622, 711, 538, 3413, 26475, 267, 543, 1223, 2192, 6488, 538, 713, 15210, 2197, 547, 2482, 538, 519, 8637, 602, 1522, 581, 2556, 538, 865, 1279, 513, 15292, 998, 513, 19069, 267, 1141, 4986, 729, 547, 581, 12349, 269, 594, 862, 16014, 730, 741, 2013, 267, 543, 17251, 547, 14365, 712, 22876, 1005, 873, 930, 8323, 269, 594, 1767, 4986, 267, 2705, 267, 547, 1864, 540, 1250, 9837, 267, 855, 5206, 519, 1985, 6640, 547, 519, 9730, 540, 519, 13909, 267, 945, 1185, 519, 29916, 540, 930, 1857, 2724, 267, 27145, 2857, 2056, 519, 2013, 540, 891, 10492, 547, 741, 7156, 267, 543, 3981, 532, 602, 513, 1459, 1058, 581, 2366, 873, 540, 2122, 2456, 543, 29295, 906, 269, 3733, 5067, 267, 945, 1185, 930, 1995, 540, 513, 3786, 1272, 267, 543, 540, 922, 6499, 267, 16668, 909, 513, 1592, 585, 803, 267, 799, 594, 13141, 2216, 538, 1250, 4484, 269, 634, 12233, 9516, 267, 543, 1031, 971, 31806, 267, 602, 267, 5342, 676, 1250, 5067, 267, 519, 8637, 8452, 693, 519, 3786, 607, 4166, 607, 519, 530, 30368, 269, 1358, 15538, 540, 8938, 1612, 26118, 267, 1142, 5627, 1765, 454, 277, 7273, 269, 3138, 2378, 4006, 563, 272, 1183, 326, 5627, 476, 736, 7273, 269, 1434, 7423, 563, 277, 798, 269, 4053, 322, 990, 5964, 798, 563, 273, 18797, 2025, 17214, 4275, 9174, 563, 272, 798, 269, 3039, 7401, 563, 273, 17529, 25706, 14326, 563, 272, 798, 269, 1630, 9996, 798, 563, 272, 11480, 7912, 540, 28401, 563, 277, 798, 269, 2666, 6995, 563, 273, 1134, 2275, 3293, 554, 4461, 563, 277, 798, 269, 10217, 563, 272, 270, 273, 18797, 12015, 10209, 1132, 563, 272, 270, 273, 9221, 1655, 3043, 536, 4593, 3726, 563, 277, 7273, 269, 7573, 563, 272, 270, 273, 18470, 269, 14723, 563, 277, 7273, 269, 986, 529, 1231, 563, 272, 14415, 3043, 16693, 563, 272, 3794, 537, 31569, 10381, 563, 4322, 1612, 26118, 267, 1134, 14095, 267, 941, 5116, 593, 607, 1082, 9640, 267, 1142, 1612, 4897, 267, 609, 519, 7504, 267, 1373, 5497, 607, 513, 1459, 585, 835, 11464, 269, 1358, 941, 1360, 9684, 2685, 4607, 267, 543, 519, 11587, 17019, 676, 5022, 547, 803, 267, 689, 519, 3935, 1564, 540, 1312, 1036, 9323, 267, 538, 519, 1034, 18507, 2474, 269, 634, 4937, 267, 1932, 267, 729, 3810, 6916, 1194, 609, 1250, 2932, 538, 22876, 1005, 1864, 519, 530, 30368, 267, 543, 11593, 6976, 1250, 2272, 540, 771, 321, 9309, 906, 282, 982, 6362, 803, 14578, 267, 543, 31392, 1250, 2417, 6351, 538, 11488, 14074, 1310, 1864, 269, 594, 9333, 809, 713, 849, 267, 543, 729, 1668, 1176, 6964, 538, 621, 11489, 649, 4862, 540, 1010, 14710, 282, 14027, 585, 519, 3028, 267, 540, 1250, 1378, 2724, 267, 20733, 540, 835, 8536, 6550, 10322, 1782, 282, 540, 799, 594, 2366, 1864, 606, 2272, 269, 898, 3357, 547, 1010, 3946, 267, 9939, 1176, 585, 803, 267, 513, 1906, 2395, 1354, 519, 6370, 267, 543, 646, 8120, 803, 5612, 606, 1931, 593, 519, 2628, 2173, 2120, 585, 519, 5180, 2040, 540, 835, 8536, 6550, 267, 6028, 519, 14230, 547, 519, 1985, 2272, 269, 594, 2015, 713, 8569, 607, 1434, 9939, 267, 2348, 2760, 1044, 2111, 547, 3489, 602, 14230, 282, 540, 799, 811, 1934, 12898, 563, 1607, 2489, 729, 267, 594, 1589, 267, 513, 12703, 812, 267, 543, 1522, 4440, 723, 1500, 513, 4137, 607, 513, 1434, 11464, 538, 930, 3864, 2112, 269, 1809, 646, 1185, 1932, 1454, 1582, 21873, 267, 1932, 1164, 606, 6644, 540, 519, 14496, 540, 2834, 10136, 267, 543, 1932, 1611, 513, 835, 540, 1312, 4892, 543, 12075, 269, 6723, 15867, 12174, 267, 938, 4095, 3705, 614, 267, 8678, 1864, 593, 1010, 15292, 609, 835, 4627, 540, 1346, 1004, 267, 945, 1522, 723, 1044, 540, 1390, 946, 547, 1010, 7952, 607, 10274, 543, 1085, 8083, 267, 952, 646, 1185, 5701, 873, 24963, 282, 855, 646, 620, 32484, 543, 20495, 873, 267, 543, 789, 7930, 2451, 1864, 563, 1103, 6643, 609, 1864, 835, 1554, 267, 646, 729, 4758, 803, 930, 2272, 540, 1010, 5497, 3356, 269, 968, 5475, 2921, 10783, 13660, 13196, 928, 2223, 1767, 646, 267, 968, 296, 993, 547, 8399, 547, 15281, 698, 4673, 282, 543, 267, 2348, 3144, 602, 267, 547, 674, 1258, 1084, 659, 267, 952, 519, 4005, 786, 1450, 942, 267, 543, 594, 15475, 621, 786, 267, 585, 13660, 13196, 928, 666, 15991, 1033, 664, 803, 1657, 1614, 610, 2185, 2395, 282, 543, 1287, 594, 1294, 4986, 602, 666, 29572, 1250, 15292, 547, 15281, 698, 4673, 1848, 11109, 1354, 2847, 9407, 538, 1250, 2247, 519, 1279, 1899, 1010, 7952, 1590, 1118, 538, 741, 15292, 676, 513, 1360, 7522, 4155, 267, 547, 581, 2759, 585, 873, 998, 519, 18137, 543, 26965, 267, 543, 849, 1018, 594, 1185, 1224, 540, 513, 5449, 14710, 540, 19939, 4627, 3943, 945, 22983, 519, 13325, 2197, 267, 594, 1185, 22885, 930, 22027, 543, 930, 12194, 585, 519, 2680, 540, 519, 5859, 269, 1809, 594, 5887, 3293, 1152, 547, 2161, 267, 968, 2414, 581, 2386, 267, 27205, 267, 952, 596, 12446, 1134, 1354, 13660, 13196, 928, 267, 609, 891, 5386, 10136, 267, 865, 1134, 3177, 609, 25044, 267, 519, 6830, 267, 1498, 4625, 25167, 267, 543, 19443, 609, 513, 1360, 2178, 575, 28207, 267, 666, 4440, 1118, 855, 513, 2110, 4187, 269, 634, 1152, 8594, 594, 25370, 9150, 540, 25518, 547, 707, 15292, 568, 689, 519, 5605, 19895, 3547, 540, 519, 12075, 267, 945, 267, 676, 3586, 2259, 267, 616, 32609, 614, 748, 538, 18413, 543, 22589, 873, 282, 543, 519, 28795, 1899, 267, 2282, 2185, 5195, 1279, 267, 799, 707, 7952, 1590, 1118, 267, 949, 16616, 621, 547, 581, 16091, 676, 9983, 538, 922, 1166, 3471, 267, 543, 547, 581, 2759, 899, 513, 8142, 883, 1896, 4773, 267, 799, 267, 689, 741, 3845, 267, 3112, 2097, 909, 538, 942, 547, 1489, 1142, 824, 3034, 3891, 20493, 693, 1250, 22293, 267, 543, 14452, 281, 968, 4322, 5260, 1137, 949, 8197, 581, 513, 23773, 10546, 547, 707, 6151, 1977, 17740, 807, 267, 855, 2390, 519, 3751, 779, 2834, 543, 5676, 1441, 10136, 267, 27205, 267, 621, 568, 7543, 789, 1058, 1118, 1022, 12705, 1848, 594, 729, 6857, 540, 606, 1561, 3064, 1214, 538, 1250, 11722, 532, 609, 513, 4108, 812, 538, 6927, 540, 1010, 3924, 267, 543, 1767, 1100, 811, 269, 634, 10546, 267, 2705, 267, 1705, 711, 1491, 519, 5413, 540, 1010, 7952, 267, 799, 594, 25370, 9150, 539, 922, 1279, 1899, 540, 15292, 6534, 621, 547, 267, 855, 1577, 621, 4434, 1510, 954, 8306, 11489, 1369, 8370, 5195, 540, 519, 1747, 282, 543, 1287, 267, 950, 811, 538, 513, 1560, 630, 1721, 621, 1185, 1175, 5293, 513, 5757, 267, 1141, 519, 4395, 1185, 10300, 1540, 11489, 782, 941, 2097, 936, 1070, 543, 538, 513, 811, 1930, 851, 540, 519, 18137, 982, 1022, 621, 1185, 5293, 267, 16091, 922, 4359, 9856, 676, 513, 5230, 3595, 689, 3297, 4054, 543, 26965, 267, 799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 2348, 2907, 3710, 513, 476, 1911, 737, 310, 18634, 7542, 1679, 11275, 5179, 602, 779, 5078, 585, 3167, 6472, 563, 2467, 568, 849, 519, 21915, 531, 1944, 19175, 602, 649, 1522, 711, 1256, 991, 22197, 585, 16546, 269, 19402, 5063, 267, 621, 729, 3622, 10924, 602, 8628, 6419, 16546, 941, 827, 476, 1015, 260, 811, 3608, 982, 6671, 6272, 269, 1809, 7835, 538, 1379, 11418, 543, 8441, 538, 519, 1374, 540, 968, 8114, 794, 892, 16546, 267, 799, 1810, 1406, 723, 22197, 693, 782, 267, 723, 6806, 713, 7934, 269, 769, 1249, 267, 930, 15632, 16546, 616, 593, 513, 1612, 609, 1346, 609, 8628, 22197, 267, 543, 4352, 789, 616, 8273, 543, 18219, 267, 945, 6487, 1018, 8441, 9114, 538, 4558, 563, 1103, 519, 29291, 267, 1346, 1482, 8441, 538, 5179, 1374, 543, 11418, 1611, 602, 14949, 267, 1447, 3532, 11275, 2326, 666, 581, 1031, 269, 2311, 519, 27257, 5870, 267, 3025, 729, 6158, 827, 519, 5767, 4487, 1544, 9783, 4505, 713, 1032, 676, 23592, 7763, 832, 267, 799, 14719, 730, 14874, 4686, 1274, 2195, 7357, 689, 922, 2104, 8628, 11275, 16546, 269, 1280, 519, 942, 1373, 267, 1498, 267, 609, 519, 948, 540, 8441, 538, 5179, 543, 11718, 1374, 267, 519, 2182, 7542, 27866, 267, 594, 8910, 2161, 267, 616, 519, 1034, 9621, 4244, 547, 4686, 268, 24160, 22197, 563, 288, 1158, 7357, 1863, 540, 4686, 1274, 2195, 568, 267, 2705, 267, 1869, 513, 1279, 1259, 1055, 563, 13126, 281, 6323, 1158, 0, 27839, 1154, 6777, 4672, 543, 22260, 538, 2342, 267, 2242, 547, 519, 18714, 5117, 538, 5607, 267, 543, 23967, 538, 519, 1533, 540, 14522, 269, 769, 519, 2063, 2540, 267, 519, 2518, 2837, 814, 2799, 676, 476, 272, 269, 275, 674, 267, 2687, 547, 519, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 1070, 543, 519, 27069, 616, 1175, 513, 1906, 540, 519, 28507, 2242, 538, 4525, 1472, 519, 1158, 269, 1809, 1175, 875, 1454, 616, 3425, 3743, 585, 2916, 1689, 888, 8794, 936, 476, 1911, 2916, 5222, 4080, 676, 519, 7379, 6717, 543, 2780, 9781, 267, 519, 18039, 20588, 2817, 12524, 543, 519, 623, 1824, 17043, 4659, 585, 8693, 8177, 3194, 1336, 602, 3592, 1079, 22188, 540, 519, 7396, 2916, 2242, 616, 30289, 547, 1480, 24378, 5434, 563, 2108, 28095, 9382, 16046, 4767, 5222, 547, 2916, 1689, 723, 1044, 13598, 538, 2470, 267, 5466, 2436, 972, 568, 606, 3310, 540, 1480, 5829, 8337, 593, 5222, 11451, 267, 1510, 606, 23221, 547, 1367, 5222, 2223, 1767, 15168, 761, 17713, 523, 267, 540, 519, 623, 1824, 17043, 4659, 585, 8693, 8177, 3194, 269, 968, 5978, 2079, 568, 519, 1101, 547, 8115, 891, 10616, 585, 513, 1804, 2039, 540, 5222, 267, 676, 12570, 519, 1909, 540, 1480, 5829, 5434, 538, 1142, 1764, 14350, 267, 1519, 5222, 1644, 547, 3466, 538, 13247, 543, 4262, 4672, 3034, 295, 753, 523, 543, 667, 5451, 603, 6403, 12942, 267, 540, 519, 20588, 6997, 267, 3370, 741, 1382, 538, 7186, 8693, 7827, 269, 1358, 5059, 741, 1353, 593, 6237, 2916, 3466, 936, 513, 476, 2412, 4458, 1974, 267, 1063, 476, 3192, 272, 543, 476, 1001, 271, 563, 19853, 2919, 2780, 5690, 1101, 12290, 519, 6631, 2329, 540, 519, 22423, 2594, 1031, 269, 8921, 267, 621, 5462, 2436, 519, 6237, 2916, 1239, 729, 6190, 538, 1469, 543, 3177, 6190, 6571, 269, 634, 3173, 1287, 8947, 2203, 13502, 267, 930, 540, 799, 1249, 1819, 538, 1480, 5434, 1247, 824, 4769, 1406, 563, 763, 1239, 1305, 729, 1287, 5916, 543, 8507, 538, 513, 10230, 6060, 267, 799, 729, 22566, 540, 2436, 1480, 24378, 5434, 941, 513, 3815, 538, 7133, 519, 6237, 2916, 1239, 936, 519, 5756, 563, 29467, 616, 1082, 2081, 649, 1223, 9192, 519, 8464, 2223, 1767, 12942, 267, 968, 8117, 649, 1336, 602, 621, 4769, 1406, 2339, 799, 26363, 1505, 649, 1031, 9789, 2164, 782, 11329, 547, 519, 1482, 8753, 3034, 14071, 1265, 602, 3592, 1079, 22188, 540, 519, 5222, 1644, 547, 11626, 543, 5836, 2837, 666, 581, 18390, 11911, 547, 27643, 16550, 2223, 519, 3173, 5206, 538, 741, 1957, 269, 968, 1103, 4334, 267, 2963, 8220, 2242, 538, 13247, 543, 741, 9757, 5222, 547, 1480, 3310, 568, 1869, 4617, 3034, 763, 1007, 1353, 1223, 948, 3744, 1732, 3589, 519, 2104, 5222, 540, 513, 8337, 2518, 2916, 563, 2108, 4415, 891, 4255, 267, 649, 666, 581, 1454, 811, 8746, 538, 938, 9273, 540, 875, 513, 476, 275, 595, 1158, 786, 8428, 689, 513, 476, 272, 269, 276, 595, 1158, 2223, 1767, 16423, 32184, 15434, 1067, 267, 519, 8689, 540, 519, 11335, 4659, 585, 13149, 543, 6833, 14111, 26085, 269, 968, 2005, 568, 2629, 602, 649, 3136, 547, 1020, 543, 2226, 22423, 3646, 1472, 519, 1158, 538, 1931, 547, 3136, 25643, 875, 519, 1158, 568, 14775, 547, 938, 8511, 5434, 267, 607, 1134, 607, 547, 8815, 20214, 538, 1346, 5434, 1848, 0, 23562, 4868, 24960, 625, 723, 9307, 513, 7029, 547, 1902, 811, 982, 1269, 23417, 2929, 15217, 538, 3646, 547, 20427, 2569, 2518, 15655, 5434, 267, 799, 568, 519, 2034, 4102, 23784, 547, 2518, 8337, 1310, 3327, 8166, 563, 6097, 547, 519, 13210, 267, 4227, 15655, 5434, 568, 519, 2582, 1034, 2500, 1259, 547, 3500, 2518, 2837, 4473, 282, 606, 4139, 6052, 17072, 1867, 1336, 602, 693, 2547, 476, 1839, 2600, 540, 2518, 8337, 4867, 568, 9141, 676, 15655, 689, 1480, 3527, 267, 519, 3389, 5006, 12520, 1562, 1373, 519, 3282, 543, 3154, 2872, 267, 13184, 267, 543, 26071, 269, 634, 13210, 786, 11282, 741, 4758, 538, 1489, 540, 15655, 5786, 3435, 267, 3246, 6791, 267, 2883, 2200, 267, 2930, 1489, 267, 543, 1655, 2987, 11665, 1239, 547, 2327, 3356, 538, 15655, 5786, 543, 4977, 5464, 267, 19027, 267, 543, 8989, 267, 1519, 538, 519, 4199, 10868, 543, 6683, 9922, 563, 763, 10283, 2508, 619, 616, 25204, 6199, 5845, 20395, 625, 267, 16505, 10843, 6052, 267, 7256, 7827, 7690, 4139, 267, 14938, 334, 807, 8693, 8750, 267, 590, 984, 337, 6737, 5845, 20395, 625, 267, 543, 519, 5261, 543, 7579, 320, 670, 1168, 27451, 267, 5753, 779, 20971, 8750, 267, 661, 1503, 267, 21081, 628, 600, 267, 4400, 570, 728, 267, 594, 298, 12788, 267, 3627, 667, 269, 543, 21965, 570, 269, 5839, 6635, 11037, 267, 15966, 718, 5839, 289, 664, 267, 8053, 335, 601, 1512, 543, 24900, 267, 18718, 267, 6424, 543, 12359, 850, 13268, 731, 267, 623, 529, 806, 267, 21408, 1155, 8693, 267, 4787, 3326, 267, 543, 2098, 1122, 541, 7731, 13210, 269, 634, 19710, 849, 786, 1489, 519, 20320, 4674, 27490, 20243, 676, 519, 2136, 2276, 543, 519, 3864, 5742, 779, 6820, 29034, 2033, 623, 1578, 547, 2569, 15655, 5434, 676, 476, 1789, 2600, 676, 476, 10711, 271, 543, 2569, 8337, 676, 693, 2547, 476, 271, 269, 273, 11433, 481, 676, 476, 13078, 271, 269, 2859, 982, 13977, 2477, 723, 9896, 593, 547, 519, 32410, 267, 799, 786, 581, 9250, 693, 519, 14232, 476, 2918, 628, 6167, 8693, 7827, 10985, 630, 4596, 303, 268, 2918, 264, 538, 29161, 267, 10430, 563, 10527, 2257, 568, 2312, 281, 1793, 4770, 15655, 5434, 568, 519, 16595, 543, 1034, 1942, 15807, 1259, 547, 1832, 519, 4541, 779, 2837, 4473, 547, 896, 476, 272, 269, 276, 11433, 481, 543, 11574, 519, 10782, 28746, 540, 2916, 1689, 2223, 1767, 670, 1168, 27451, 7690, 7022, 32632, 26689, 1067, 269, 968, 1607, 24960, 545, 7029, 786, 948, 10776, 2763, 2916, 2962, 585, 513, 811, 12581, 267, 4264, 2104, 3034, 263, 20124, 5491, 281, 533, 343, 325, 3241, 994, 2108, 22117, 532, 24960, 545, 3906, 7649, 543, 3479, 547, 936, 1269, 23417, 300, 547, 4227, 15655, 5434, 1848, 5261, 543, 7579, 320, 670, 1168, 27451, 7690, 2046, 5305, 476, 1015, 270, 1556, 270, 1708, 272, 31422, 297, 2002, 772, 2529, 11607, 31323, 3948, 593, 519, 6820, 29034, 2033, 623, 1578, 1848, 772, 2529, 269, 3557, 4972, 2046, 5305, 476, 1015, 270, 1556, 270, 1708, 272, 563, 10144, 281, 32632, 26689, 1067, 454, 16391, 1436, 281, 21408, 1155, 8693, 7690, 282, 5261, 1656, 7579, 320, 670, 1168, 27451, 7690, 282, 8053, 335, 601, 1512, 1656, 24900, 25043, 282, 661, 1503, 7690, 282, 7256, 7827, 7690, 4139, 282, 25204, 6199, 5845, 20395, 625, 282, 16505, 10843, 6052, 20764, 999, 282, 14938, 334, 807, 8693, 8750, 282, 590, 984, 337, 6737, 5845, 20395, 625, 282, 5753, 779, 20971, 8750, 7690, 282, 21081, 628, 600, 7690, 282, 4400, 570, 728, 7690, 282, 594, 298, 12788, 7690, 282, 3627, 667, 269, 1656, 21965, 570, 269, 5839, 6635, 11037, 7690, 282, 15966, 718, 5839, 289, 664, 7690, 282, 18718, 7690, 282, 6424, 1656, 12359, 850, 13268, 731, 7690, 282, 623, 529, 806, 7690, 282, 4787, 3326, 7690, 282, 2098, 1122, 541, 7731, 7690, 0, 1432, 568, 519, 3845, 540, 9544, 17310, 888, 1103, 2489, 4009, 1062, 540, 9544, 609, 513, 19437, 540, 476, 278, 269, 276, 332, 1535, 476, 278, 269, 276, 332, 568, 5227, 585, 17310, 269, 901, 786, 13918, 476, 10082, 27374, 829, 20267, 732, 269, 1717, 267, 19437, 540, 476, 278, 269, 276, 547, 476, 1015, 544, 568, 1316, 2213, 538, 1585, 17310, 3395, 4525, 540, 519, 2197, 563, 1692, 2484, 6306, 1058, 17310, 27374, 581, 12630, 888, 4467, 14293, 569, 267, 519, 4054, 616, 12630, 693, 838, 659, 902, 540, 476, 1240, 1700, 1789, 3952, 630, 276, 269, 276, 1700, 280, 269, 272, 544, 264, 6306, 269, 769, 1753, 10651, 267, 17310, 27374, 1058, 581, 12630, 1141, 789, 786, 4309, 2407, 3141, 543, 711, 581, 22125, 563, 1692, 798, 594, 2030, 513, 17310, 888, 3383, 752, 519, 17310, 538, 1216, 585, 1614, 2395, 269, 19130, 513, 476, 1321, 20878, 8708, 609, 513, 1134, 1673, 20995, 29238, 3037, 602, 814, 930, 3063, 2357, 6193, 592, 924, 610, 5070, 6404, 538, 269, 7233, 707, 17310, 609, 519, 1448, 344, 2427, 1524, 267, 543, 519, 1283, 476, 414, 483, 497, 540, 707, 17310, 1058, 2611, 20114, 563, 1692, 1279, 1281, 621, 1491, 17310, 547, 7703, 4829, 888, 763, 17310, 13869, 5613, 782, 519, 1032, 5180, 543, 519, 5613, 3914, 15657, 1310, 476, 1556, 547, 476, 1321, 3275, 269, 3962, 13869, 7472, 476, 2004, 547, 476, 5611, 10808, 1142, 1032, 269, 23081, 14777, 27374, 616, 10786, 17675, 543, 666, 7703, 4829, 585, 811, 982, 476, 1911, 1296, 855, 519, 5021, 568, 3622, 6603, 1310, 476, 1015, 547, 476, 736, 1296, 563, 1692, 1082, 17310, 4054, 666, 596, 2030, 829, 23505, 888, 290, 665, 14777, 3529, 24873, 829, 23505, 2290, 666, 2030, 1063, 476, 3199, 547, 476, 1220, 2371, 2687, 547, 19437, 563, 1432, 666, 596, 2030, 1063, 17310, 4054, 888, 763, 1739, 7031, 616, 5227, 607, 17685, 28979, 563, 268, 24583, 1023, 281, 19676, 267, 22959, 563, 268, 6181, 6979, 543, 20512, 281, 16140, 18133, 267, 7504, 6121, 267, 10800, 701, 320, 563, 268, 31793, 619, 281, 24135, 328, 10087, 267, 6653, 15837, 267, 586, 4461, 267, 897, 665, 14901, 563, 268, 1975, 1182, 543, 7873, 9323, 281, 717, 5424, 267, 29018, 267, 669, 11035, 267, 14723, 267, 2428, 332, 1122, 267, 24036, 267, 804, 913, 563, 268, 22500, 2371, 281, 14465, 3570, 267, 12566, 20625, 267, 13099, 11535, 563, 268, 30094, 720, 7693, 281, 23081, 10394, 563, 1692, 1082, 3952, 829, 1032, 798, 17310, 4054, 1332, 888, 31738, 269, 7201, 6099, 3395, 2175, 267, 513, 17310, 13869, 3529, 9428, 693, 519, 2557, 540, 476, 1321, 547, 476, 3607, 6279, 829, 1032, 267, 2687, 547, 2836, 12443, 12124, 11206, 23270, 338, 4659, 563, 7617, 13226, 568, 1655, 585, 17310, 3529, 888, 290, 665, 14777, 4054, 991, 547, 581, 6992, 1242, 267, 799, 814, 519, 5207, 11379, 267, 4553, 676, 9436, 267, 16903, 267, 543, 20841, 267, 855, 1416, 1590, 581, 3144, 547, 3666, 519, 13226, 269, 476, 1911, 271, 281, 476, 4335, 281, 476, 1220, 271, 575, 332, 26128, 298, 1315, 13869, 270, 20204, 568, 5227, 585, 10316, 23081, 14777, 538, 9381, 2127, 563, 1692, 666, 594, 1118, 1250, 17310, 1332, 5488, 888, 24876, 707, 17310, 3529, 7899, 540, 1216, 543, 7943, 269, 4826, 519, 3529, 693, 2547, 476, 273, 2053, 829, 3018, 865, 519, 3037, 568, 5848, 855, 711, 1932, 6632, 269, 5269, 2386, 602, 519, 3529, 4991, 6266, 540, 1769, 267, 855, 711, 3586, 21386, 269, 2368, 12094, 568, 30074, 269, 1280, 9205, 2371, 267, 596, 666, 1118, 513, 9910, 8511, 563, 7617, 568, 519, 1655, 13226, 585, 17310, 888, 7617, 1826, 540, 3037, 568, 1655, 585, 17310, 3529, 888, 16446, 22501, 3138, 600, 267, 2663, 924, 543, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3624, 849, 723, 1100, 1569, 547, 14312, 1426, 1310, 2085, 476, 277, 3275, 269, 901, 267, 1932, 267, 5012, 547, 2168, 543, 2790, 23043, 269, 634, 4457, 2229, 814, 17298, 513, 2101, 11036, 547, 15814, 1863, 6484, 24502, 547, 1453, 6502, 476, 277, 547, 476, 2190, 3275, 538, 791, 1478, 1639, 4525, 269, 1284, 723, 5249, 609, 3624, 15509, 543, 6167, 32019, 547, 6218, 519, 7145, 540, 713, 11036, 676, 10647, 513, 19747, 5595, 15918, 785, 4603, 269, 634, 2164, 723, 3177, 3621, 2963, 593, 6689, 6484, 6304, 267, 1489, 585, 519, 4336, 5346, 540, 6484, 24502, 267, 543, 10372, 585, 824, 3384, 2477, 6849, 2147, 2591, 563, 305, 14445, 532, 519, 2883, 11411, 543, 1072, 4220, 540, 10269, 946, 454, 10712, 3183, 568, 1776, 2101, 1072, 3390, 269, 3624, 568, 519, 1158, 779, 4102, 16073, 543, 7082, 540, 10269, 543, 814, 519, 5207, 11411, 540, 10269, 5829, 3676, 269, 4340, 547, 519, 715, 18449, 779, 3624, 7797, 593, 519, 2657, 18171, 1841, 540, 25003, 476, 1708, 271, 267, 519, 2197, 568, 1753, 547, 811, 982, 476, 4968, 2929, 21596, 543, 936, 476, 272, 2929, 1004, 5884, 1142, 1032, 689, 10269, 5829, 3123, 267, 1519, 7929, 3676, 267, 2860, 267, 9025, 3676, 267, 543, 3987, 269, 1403, 1100, 2500, 3800, 616, 3144, 547, 3648, 2569, 7296, 267, 713, 1297, 786, 4473, 547, 476, 273, 2929, 7972, 829, 1032, 676, 476, 10711, 271, 543, 476, 274, 2929, 676, 476, 13078, 271, 563, 2026, 513, 1129, 2218, 540, 519, 14959, 17563, 13482, 593, 30926, 6513, 630, 293, 6311, 290, 1070, 3624, 814, 2322, 10269, 1852, 593, 922, 3084, 16786, 269, 4340, 547, 14959, 1382, 267, 2500, 3609, 7459, 616, 519, 1655, 1259, 547, 1852, 10269, 946, 269, 1677, 948, 3624, 1118, 3356, 593, 674, 6311, 290, 10220, 543, 2743, 922, 3804, 540, 4227, 519, 7296, 2557, 585, 1004, 6502, 476, 1428, 543, 4587, 547, 476, 736, 260, 676, 476, 10711, 271, 267, 649, 960, 609, 4891, 547, 12167, 585, 8810, 4507, 543, 2645, 971, 607, 10269, 9204, 267, 4031, 602, 7794, 1857, 2069, 267, 543, 7296, 536, 753, 538, 1857, 4025, 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 ]
[ 6484, 269, 1703, 616, 1271, 3095, 1137, 1063, 14774, 6484, 543, 519, 1072, 267, 5042, 1646, 267, 543, 15980, 1761, 540, 2104, 5481, 630, 272, 1040, 1717, 267, 609, 4389, 1126, 321, 8960, 543, 3476, 1272, 21269, 267, 2021, 781, 2833, 8831, 3564, 3993, 3125, 630, 273, 1040, 3955, 6761, 543, 4507, 602, 3077, 2021, 9003, 607, 11299, 3111, 547, 2272, 585, 2021, 1354, 789, 32230, 267, 1310, 789, 1100, 3476, 4497, 609, 3292, 13389, 14774, 1700, 18876, 1072, 267, 607, 1134, 607, 1346, 945, 2760, 723, 1453, 630, 274, 267, 476, 275, 1040, 589, 4807, 781, 6484, 1058, 2339, 711, 630, 21671, 264, 1317, 540, 1200, 10285, 1761, 267, 855, 1317, 621, 568, 4909, 547, 1200, 2924, 607, 513, 1268, 543, 547, 1200, 1134, 5630, 543, 2702, 547, 8853, 630, 276, 1700, 278, 1040, 2060, 2810, 3007, 547, 519, 9422, 2115, 540, 15730, 6690, 630, 279, 267, 476, 280, 1070, 538, 1840, 547, 519, 8375, 9860, 540, 14968, 267, 8377, 267, 543, 1875, 10919, 27809, 2068, 7133, 2021, 2663, 538, 1272, 630, 1015, 1070, 621, 568, 4742, 811, 16122, 602, 7459, 3914, 2021, 693, 782, 1272, 5933, 563, 301, 9173, 2069, 7459, 941, 1419, 8045, 538, 14966, 609, 824, 3292, 267, 543, 621, 729, 2352, 547, 2697, 519, 2360, 540, 6484, 2069, 4805, 269, 769, 1840, 267, 1082, 2090, 4080, 593, 835, 6823, 14633, 13508, 543, 1895, 2069, 267, 543, 621, 729, 711, 2009, 547, 16174, 519, 1764, 269, 634, 2360, 540, 6484, 2069, 941, 1419, 3152, 950, 5916, 609, 824, 4199, 2861, 7459, 267, 971, 607, 25050, 22021, 21455, 630, 4029, 267, 476, 3953, 1070, 1753, 12202, 630, 2764, 1070, 1426, 21455, 630, 3451, 1070, 543, 1216, 11865, 630, 2420, 1040, 1280, 6484, 2069, 3292, 13389, 11299, 267, 1346, 945, 941, 811, 13473, 610, 540, 2362, 14227, 4567, 811, 1419, 12261, 519, 6304, 547, 9422, 4093, 630, 3451, 1040, 901, 5267, 602, 519, 7145, 540, 6484, 2069, 1522, 9305, 547, 2043, 685, 2702, 547, 1569, 2200, 543, 2936, 1344, 4607, 563, 26364, 5896, 267, 938, 5618, 12139, 5619, 1934, 568, 2484, 689, 8537, 269, 476, 1001, 277, 4718, 519, 26813, 540, 12139, 28529, 308, 15200, 267, 4481, 28110, 547, 519, 7132, 20695, 4807, 269, 6468, 779, 26121, 12286, 2834, 13355, 2021, 593, 922, 4864, 476, 1001, 276, 543, 4989, 476, 1001, 277, 6227, 269, 1809, 1256, 607, 23426, 8992, 519, 1560, 1790, 657, 6638, 3350, 609, 11042, 609, 1004, 899, 4024, 1723, 343, 267, 945, 1631, 8255, 513, 7132, 20695, 9781, 8116, 267, 621, 779, 1869, 11319, 9708, 899, 519, 2630, 269, 1215, 616, 891, 1560, 2010, 1114, 4010, 888, 763, 5692, 540, 9906, 2657, 543, 29960, 7896, 568, 547, 3986, 519, 2168, 543, 2790, 1072, 540, 1053, 538, 1931, 547, 948, 873, 3035, 4081, 1967, 267, 2123, 1646, 543, 15400, 9716, 676, 3246, 606, 7471, 1982, 540, 2298, 267, 3015, 267, 1942, 6213, 543, 14804, 3782, 2533, 267, 3358, 547, 741, 2189, 543, 3309, 2115, 543, 547, 4217, 519, 2160, 2146, 267, 998, 15360, 543, 2069, 267, 547, 1020, 513, 2635, 13464, 1604, 5812, 609, 17459, 16026, 834, 7468, 514, 3321, 540, 7991, 8487, 28848, 2635, 568, 1271, 585, 513, 4807, 779, 1560, 543, 2247, 269, 1809, 1018, 1281, 4189, 2635, 1611, 286, 2201, 519, 4950, 267, 538, 2835, 543, 13746, 267, 972, 568, 513, 5763, 540, 6484, 1344, 693, 707, 31840, 269, 12830, 8192, 2115, 1331, 11950, 267, 3940, 267, 3170, 267, 6775, 267, 543, 8324, 543, 6886, 269, 11109, 513, 7059, 2732, 543, 2168, 2534, 1544, 666, 948, 1832, 596, 4712, 585, 1362, 7569, 543, 2238, 593, 13464, 269, 1677, 1205, 519, 9238, 593, 9422, 2115, 267, 3643, 519, 7270, 7396, 2630, 269, 7490, 4063, 267, 1169, 1560, 814, 1114, 8770, 2115, 269, 634, 2101, 5567, 30364, 2021, 779, 1072, 616, 7396, 593, 713, 2985, 563, 306, 5495, 13612, 2464, 281, 4432, 12578, 25306, 267, 12854, 267, 28251, 267, 12314, 7548, 267, 8257, 540, 5253, 3163, 543, 5274, 12594, 267, 2160, 540, 8419, 267, 28150, 525, 6807, 269, 1744, 16336, 645, 269, 1975, 531, 3429, 267, 631, 10955, 267, 11483, 5425, 267, 7548, 267, 2168, 2069, 543, 1072, 282, 543, 12314, 8689, 267, 9098, 6468, 781, 4659, 585, 15557, 267, 6307, 25930, 7773, 5441, 853, 13550, 517, 267, 28446, 269, 1977, 10791, 2045, 5948, 1357, 3135, 269, 4659, 540, 6925, 693, 519, 2817, 6298, 12562, 1357, 3135, 563, 18131, 779, 1072, 17476, 723, 2141, 12006, 4775, 28245, 693, 519, 8445, 540, 8516, 281, 15904, 575, 15843, 13191, 674, 25352, 1985, 547, 513, 2212, 1467, 22551, 532, 968, 8110, 2739, 2659, 10610, 892, 593, 513, 476, 2735, 278, 23426, 3382, 568, 513, 5929, 1383, 269, 3212, 1359, 693, 519, 2199, 12139, 4831, 713, 3923, 267, 594, 8068, 513, 2603, 540, 2021, 779, 1072, 12139, 1869, 1185, 1272, 268, 543, 1560, 268, 11391, 1077, 532, 6835, 267, 855, 789, 14129, 519, 2790, 12374, 936, 519, 2168, 281, 968, 7312, 7454, 1411, 17373, 1985, 547, 7935, 5803, 1744, 3658, 593, 519, 3382, 540, 2657, 282, 968, 31640, 1299, 8414, 17373, 11735, 661, 256, 685, 338, 12756, 9093, 1735, 657, 269, 23426, 12139, 1631, 1256, 814, 606, 2228, 3296, 1572, 1948, 27094, 7069, 4537, 1901, 267, 538, 799, 21060, 1772, 634, 1715, 4563, 5182, 12253, 548, 15588, 338, 11828, 875, 1352, 4121, 547, 9784, 1200, 14258, 998, 1200, 28818, 21563, 656, 18537, 267, 543, 2203, 15576, 773, 4024, 1723, 343, 6499, 596, 547, 917, 602, 596, 2461, 865, 1454, 811, 982, 596, 1294, 538, 519, 11604, 563, 2108, 301, 7491, 616, 513, 1390, 2707, 540, 3940, 543, 1395, 10494, 18260, 9761, 7408, 2223, 3081, 670, 4532, 2006, 267, 607, 1134, 607, 1454, 2877, 6171, 661, 269, 6201, 540, 1390, 5079, 1331, 9267, 22756, 267, 30646, 267, 543, 6328, 601, 22756, 269, 715, 7491, 616, 849, 1360, 17811, 1673, 1619, 267, 2705, 267, 865, 596, 991, 1152, 513, 13869, 995, 585, 1434, 6484, 543, 547, 1745, 13854, 2443, 1175, 835, 28451, 26412, 540, 10808, 568, 2808, 6697, 547, 835, 26412, 540, 513, 6093, 3940, 5079, 267, 899, 9269, 610, 14132, 269, 670, 4532, 2006, 5267, 14178, 519, 4320, 538, 513, 7674, 540, 10808, 676, 4946, 538, 986, 529, 1231, 610, 12015, 22623, 11241, 563, 2690, 930, 2241, 10372, 827, 4189, 513, 2635, 267, 7059, 2732, 267, 2638, 856, 519, 834, 6124, 1977, 17934, 10417, 257, 689, 519, 1977, 4659, 585, 9435, 3194, 269, 901, 1523, 5267, 596, 6445, 707, 6676, 609, 1079, 22188, 610, 811, 540, 5388, 267, 5613, 267, 2898, 9274, 610, 10365, 543, 1152, 835, 21017, 610, 1447, 540, 3662, 3940, 269, 901, 2241, 6240, 666, 3391, 596, 4724, 8902, 4189, 269, 1280, 811, 3877, 267, 3643, 5291, 2517, 4178, 18502, 545, 337, 3820, 4882, 924, 270, 17273, 306, 13996, 286, 335, 10402, 877, 284, 516, 706, 576, 5091, 2884, 318, 2908, 318, 26410, 318, 30066, 563, 293, 25544, 610, 6171, 645, 280, 630, 10193, 1634, 607, 31447, 3679, 950, 1031, 538, 25167, 3536, 610, 3144, 607, 513, 7110, 264, 568, 1776, 8770, 602, 1082, 2021, 1810, 1406, 1205, 2614, 540, 538, 741, 11326, 269, 23205, 622, 666, 7494, 2569, 519, 4960, 540, 14715, 4332, 12889, 950, 3144, 1354, 17748, 543, 1282, 519, 1101, 1906, 4374, 540, 6379, 269, 23205, 622, 666, 849, 2539, 513, 4807, 779, 1981, 585, 2295, 2068, 543, 1978, 2010, 540, 2860, 267, 865, 1256, 952, 596, 2461, 711, 4058, 593, 3478, 9176, 630, 663, 1082, 26691, 616, 796, 680, 10165, 1070, 621, 779, 606, 1898, 8770, 585, 1169, 4807, 540, 1126, 321, 8960, 2085, 269, 769, 2663, 1272, 267, 31833, 666, 948, 707, 1560, 5478, 21110, 1282, 22797, 563, 288, 1134, 28394, 2331, 2732, 267, 16922, 540, 513, 3099, 540, 3536, 267, 18113, 10742, 2021, 779, 2115, 585, 8324, 267, 6886, 543, 1648, 269, 1280, 1434, 1072, 267, 2021, 991, 547, 2628, 2027, 3007, 547, 7513, 267, 4401, 543, 31833, 630, 325, 4301, 3679, 264, 6981, 269, 589, 2635, 2732, 849, 1058, 7413, 519, 6981, 540, 3170, 543, 4006, 269, 4144, 1115, 1164, 538, 15459, 610, 1098, 3170, 666, 3895, 1164, 2157, 540, 1973, 8501, 543, 2333, 1981, 585, 2295, 2068, 269, 589, 2732, 602, 2882, 1164, 4006, 2488, 8900, 8477, 267, 610, 8477, 602, 798, 711, 1683, 1022, 9422, 1871, 543, 1419, 2053, 5372, 811, 14312, 1426, 25926, 563, 16449, 824, 1919, 267, 596, 991, 7513, 547, 1628, 2635, 7633, 543, 4522, 267, 1832, 873, 2178, 607, 596, 2085, 267, 10038, 519, 2295, 779, 11733, 267, 543, 2327, 707, 8401, 1062, 3252, 5265, 269, 25289, 10638, 666, 1291, 547, 267, 610, 22652, 267, 7099, 2042, 971, 607, 29338, 267, 4160, 267, 4965, 267, 543, 3207, 7965, 269, 1403, 596, 1810, 1406, 1205, 2614, 7513, 538, 707, 2732, 267, 707, 1560, 786, 1491, 7513, 689, 707, 7633, 547, 2327, 3339, 1591, 1599, 267, 799, 666, 1291, 547, 18604, 7633, 610, 21404, 269, 6468, 616, 693, 513, 3152, 1981, 982, 2367, 540, 3384, 21404, 267, 865, 621, 779, 1271, 547, 1205, 7899, 540, 7513, 267, 538, 4999, 609, 13101, 543, 6171, 667, 267, 547, 1489, 707, 5642, 1072, 269, 0, 2691, 513, 1007, 9742, 3044, 585, 519, 645, 747, 517, 2605, 1047, 729, 25282, 538, 476, 4350, 274, 676, 8496, 877, 645, 719, 990, 836, 22448, 345, 267, 5518, 540, 519, 3943, 23625, 11833, 267, 543, 519, 14886, 540, 32068, 6601, 539, 619, 267, 519, 1034, 24526, 7521, 7012, 1406, 936, 2798, 540, 2497, 610, 9742, 1826, 267, 621, 729, 936, 519, 9742, 779, 2012, 563, 763, 645, 747, 517, 779, 9510, 22660, 729, 519, 15016, 564, 267, 610, 4826, 1975, 534, 1408, 267, 689, 799, 519, 2012, 968, 289, 16808, 747, 517, 3357, 2223, 855, 968, 289, 16808, 747, 517, 892, 729, 606, 22597, 2165, 602, 3769, 2185, 14981, 281, 634, 645, 747, 517, 645, 860, 333, 3150, 267, 519, 645, 747, 517, 670, 24170, 3150, 267, 519, 645, 747, 517, 631, 5306, 3150, 543, 519, 645, 747, 517, 570, 10273, 1057, 267, 519, 8545, 1373, 519, 3119, 22660, 540, 2221, 779, 645, 747, 517, 2605, 1047, 563, 3528, 476, 4350, 274, 267, 519, 2012, 267, 968, 289, 747, 517, 570, 10273, 1057, 892, 1185, 1044, 12628, 538, 3870, 540, 968, 289, 747, 517, 513, 7313, 559, 2605, 1047, 2223, 610, 968, 289, 747, 517, 540, 519, 4354, 569, 22458, 2223, 519, 2012, 676, 799, 621, 568, 1869, 1634, 538, 5333, 269, 13928, 1004, 1373, 945, 789, 616, 267, 2705, 267, 5921, 602, 6876, 1851, 782, 3238, 4769, 1406, 2097, 3362, 267, 543, 865, 519, 9742, 729, 1634, 676, 1079, 4408, 585, 513, 2370, 1247, 3476, 281, 968, 307, 10273, 858, 324, 892, 543, 968, 289, 747, 517, 3034, 1103, 942, 267, 540, 1576, 267, 519, 2012, 3390, 729, 17251, 7064, 547, 519, 2212, 540, 519, 674, 5746, 779, 6601, 539, 11621, 9730, 585, 519, 3864, 26366, 601, 11833, 267, 8496, 877, 715, 714, 564, 632, 2274, 655, 753, 269, 2701, 6069, 513, 2012, 1759, 593, 519, 3119, 8984, 602, 519, 5243, 4843, 267, 543, 950, 4280, 585, 1200, 6644, 593, 1018, 602, 729, 267, 8496, 877, 2274, 655, 753, 3274, 1767, 267, 968, 320, 2770, 27918, 2370, 2915, 2223, 610, 645, 747, 517, 2605, 1047, 267, 543, 519, 2012, 12758, 269, 2201, 5239, 476, 1240, 267, 476, 4350, 275, 519, 645, 747, 517, 2605, 1047, 729, 10805, 538, 519, 700, 643, 516, 964, 7880, 1149, 2605, 18553, 2478, 607, 519, 645, 747, 517, 2605, 1047, 267, 1498, 5103, 713, 8978, 3375, 267, 972, 941, 1346, 945, 4797, 1210, 4505, 9742, 4408, 1134, 883, 519, 2038, 476, 4198, 271, 338, 563, 3528, 519, 1259, 267, 519, 1697, 12683, 1106, 540, 519, 9742, 2012, 568, 645, 747, 976, 2605, 2478, 563, 2080, 779, 1776, 2022, 593, 519, 9742, 779, 2012, 269, 0, 763, 2201, 1180, 15676, 6019, 8466, 5948, 568, 20857, 909, 4773, 540, 519, 2250, 547, 1397, 5204, 2350, 2224, 781, 1909, 538, 519, 20552, 626, 3350, 563, 763, 4099, 568, 10223, 513, 5449, 10553, 945, 23012, 547, 5191, 689, 5204, 2350, 2224, 538, 476, 8146, 280, 563, 23562, 4868, 21144, 4458, 6040, 4498, 28625, 18120, 749, 781, 3532, 1650, 568, 3254, 593, 519, 3774, 267, 4758, 1004, 606, 3330, 1413, 540, 1200, 3460, 267, 855, 849, 519, 1764, 1352, 1500, 538, 519, 2146, 563, 2690, 519, 1101, 942, 2479, 267, 519, 7681, 568, 18071, 519, 2063, 3312, 8007, 16968, 602, 729, 2366, 856, 547, 2119, 543, 7001, 18120, 749, 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 ]
[ 1767, 547, 1864, 267, 834, 19723, 1176, 713, 9376, 540, 4552, 4866, 996, 547, 513, 8250, 540, 14780, 6953, 1301, 778, 529, 267, 543, 519, 9759, 540, 1169, 5601, 568, 538, 1200, 282, 2807, 6494, 26195, 9081, 883, 1169, 2244, 547, 3343, 1200, 267, 855, 609, 519, 26195, 1195, 945, 568, 2469, 547, 519, 9503, 540, 519, 595, 25729, 23524, 1590, 6494, 1082, 2367, 547, 3142, 1200, 282, 257, 543, 1010, 20727, 17965, 1767, 267, 834, 6546, 799, 9493, 723, 9275, 547, 721, 568, 9765, 5944, 1434, 2437, 543, 519, 4622, 3361, 26195, 9081, 547, 1305, 856, 609, 782, 3432, 563, 4517, 621, 3357, 547, 1780, 930, 942, 19952, 602, 519, 2367, 945, 1185, 1044, 2366, 883, 4914, 3338, 3357, 547, 1867, 547, 3571, 20727, 17965, 267, 855, 1346, 945, 1185, 8854, 547, 519, 9503, 540, 519, 595, 25729, 3357, 711, 609, 873, 267, 585, 645, 1092, 1185, 1793, 664, 873, 782, 4849, 835, 547, 2995, 519, 9661, 547, 3571, 20727, 17965, 269, 3973, 3571, 20727, 17965, 3361, 2367, 543, 13603, 7980, 543, 29816, 11338, 547, 30321, 1496, 1492, 8250, 540, 14780, 6953, 1301, 778, 529, 316, 543, 547, 3142, 1200, 972, 267, 543, 972, 729, 2473, 2862, 269, 609, 873, 513, 4807, 945, 5795, 883, 1200, 3946, 782, 5686, 540, 4190, 959, 1074, 1115, 585, 2021, 267, 543, 713, 4807, 3357, 547, 5527, 609, 1496, 1492, 8250, 540, 14780, 6953, 1301, 778, 529, 22049, 543, 972, 941, 556, 14765, 545, 902, 585, 1200, 2429, 519, 2898, 2244, 269, 1656, 3571, 20727, 17965, 6068, 1200, 9765, 5944, 543, 1500, 1200, 519, 834, 15124, 29042, 15248, 2580, 543, 950, 835, 838, 820, 609, 1200, 547, 1118, 1200, 2995, 7282, 519, 2783, 540, 1200, 9393, 267, 1352, 1767, 547, 3571, 20727, 17965, 267, 834, 303, 761, 31649, 2759, 1524, 519, 524, 25729, 267, 543, 23524, 530, 2830, 1793, 599, 1864, 282, 257, 543, 646, 3361, 2367, 543, 7980, 547, 979, 609, 741, 17887, 547, 2759, 1524, 519, 524, 25729, 267, 543, 789, 4682, 8521, 547, 519, 524, 25729, 543, 2759, 1055, 519, 5810, 2390, 799, 729, 519, 2295, 540, 645, 1092, 267, 543, 646, 8593, 1524, 4666, 693, 602, 4090, 563, 4517, 621, 3357, 547, 1780, 693, 1554, 19874, 593, 519, 2849, 992, 1310, 519, 524, 25729, 1185, 1044, 2759, 1524, 267, 602, 1323, 30298, 519, 9632, 7015, 540, 645, 1092, 4682, 883, 1010, 2777, 543, 2893, 1524, 267, 543, 950, 646, 1185, 18233, 1010, 3946, 835, 2322, 883, 873, 513, 6077, 540, 14420, 799, 8389, 339, 1117, 936, 267, 543, 835, 5795, 1864, 1776, 6077, 540, 9174, 267, 543, 621, 849, 729, 5394, 543, 6531, 539, 630, 286, 1040, 3973, 646, 3576, 1010, 2473, 7656, 269, 5234, 267, 543, 1010, 5070, 1023, 267, 543, 23157, 267, 1927, 609, 1010, 2645, 585, 960, 267, 543, 646, 914, 809, 5128, 2786, 3118, 547, 519, 9503, 540, 519, 595, 25729, 267, 543, 2469, 883, 1010, 7015, 781, 2777, 646, 1336, 1010, 1762, 7015, 14084, 4666, 2390, 1010, 5127, 269, 1656, 607, 646, 6743, 2390, 1010, 1762, 7015, 14084, 538, 2669, 267, 646, 649, 696, 267, 543, 646, 4682, 547, 3406, 585, 519, 2295, 540, 1010, 1762, 7015, 896, 519, 524, 25729, 1141, 646, 1031, 547, 9114, 538, 519, 10543, 282, 543, 646, 5293, 1614, 1296, 538, 5275, 585, 621, 267, 855, 646, 1336, 621, 711, 267, 543, 950, 519, 8772, 1032, 3357, 593, 1010, 2295, 5551, 547, 979, 547, 5527, 267, 543, 646, 1767, 267, 834, 296, 786, 8977, 547, 2173, 6563, 1701, 2334, 729, 1018, 1010, 2295, 1767, 269, 1656, 621, 3357, 547, 1780, 693, 1554, 19874, 593, 519, 1739, 1554, 602, 646, 15336, 896, 519, 524, 25729, 543, 5293, 1010, 942, 538, 5275, 621, 267, 543, 646, 8120, 538, 519, 10543, 267, 543, 1586, 646, 13991, 942, 547, 5275, 621, 282, 543, 646, 1336, 513, 4829, 267, 543, 2348, 5828, 621, 936, 543, 8179, 9944, 621, 267, 1531, 1245, 519, 2295, 540, 1010, 1762, 7015, 269, 3973, 646, 4547, 513, 6077, 540, 4411, 1216, 267, 543, 5116, 621, 972, 514, 267, 543, 646, 2893, 1524, 2687, 547, 1010, 3232, 530, 2632, 269, 1656, 621, 3357, 547, 1780, 602, 950, 519, 3781, 729, 2097, 2473, 4353, 269, 519, 2295, 1185, 12842, 519, 1216, 267, 543, 645, 1092, 1726, 3387, 1194, 538, 782, 1010, 2818, 267, 543, 646, 6743, 693, 1010, 9632, 7015, 267, 543, 1010, 2295, 729, 27303, 269, 3973, 1323, 30298, 1010, 9632, 7015, 3576, 519, 6077, 540, 4411, 1216, 538, 799, 729, 519, 2295, 540, 1010, 1762, 7015, 267, 1496, 663, 1531, 1245, 3910, 621, 1185, 26583, 621, 909, 267, 543, 1010, 2295, 729, 538, 922, 1697, 1747, 267, 543, 621, 1185, 1831, 547, 1864, 607, 621, 1185, 2479, 1044, 282, 543, 1142, 17947, 519, 824, 267, 543, 1142, 267, 838, 820, 609, 1010, 8284, 269, 1656, 645, 1092, 1767, 547, 1010, 9632, 7015, 267, 834, 6826, 3835, 267, 594, 993, 2469, 547, 2490, 883, 513, 1390, 13032, 28025, 1496, 322, 2642, 316, 609, 4190, 4552, 267, 855, 4171, 2409, 630, 24047, 616, 7164, 269, 23063, 23524, 2390, 1496, 3240, 316, 1394, 950, 519, 6129, 1567, 996, 267, 543, 950, 649, 616, 538, 519, 1747, 1141, 1250, 7385, 568, 267, 594, 786, 2132, 1496, 1729, 1200, 316, 606, 2626, 1496, 1729, 782, 519, 6285, 799, 1352, 1500, 2390, 803, 4940, 3973, 695, 5306, 23524, 1491, 803, 1141, 519, 3751, 568, 267, 585, 782, 6073, 540, 1434, 1919, 15884, 581, 2944, 585, 26899, 267, 543, 23524, 695, 5306, 581, 17078, 523, 609, 4154, 543, 8988, 1317, 23524, 26558, 4547, 803, 547, 31279, 267, 585, 594, 993, 2469, 547, 1831, 513, 1360, 14952, 331, 748, 3364, 267, 543, 972, 786, 581, 556, 14765, 545, 902, 593, 1250, 2272, 2429, 519, 2898, 3618, 282, 1287, 695, 5306, 23524, 8873, 547, 555, 710, 1378, 2749, 4799, 2750, 1356, 696, 539, 689, 1323, 12266, 28762, 30735, 545, 7335, 3883, 585, 30488, 676, 661, 269, 589, 269, 9931, 529, 14863, 613, 269, 14645, 9736, 476, 1960, 274, 667, 1478, 23549, 267, 5549, 907, 1401, 1356, 696, 539, 676, 10479, 540, 667, 1478, 23549, 267, 5549, 10756, 5472, 2924, 11603, 269, 3143, 851, 540, 713, 21626, 949, 581, 25735, 610, 1065, 11781, 539, 1510, 10479, 538, 1603, 689, 519, 17404, 563, 2750, 1356, 14186, 616, 3177, 676, 12480, 5025, 5174, 809, 5549, 269, 9003, 585, 519, 2123, 946, 540, 8436, 547, 713, 1357, 3135, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2789, 3903, 2055, 267, 476, 276, 2110, 2626, 2055, 267, 543, 476, 1015, 2110, 1557, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 1705, 519, 3043, 16921, 2285, 547, 1234, 2096, 1495, 334, 1310, 519, 7784, 4308, 888, 6357, 264, 589, 19695, 9126, 563, 6262, 264, 589, 4154, 8405, 331, 864, 563, 5560, 264, 589, 16537, 565, 563, 273, 269, 5808, 941, 519, 17896, 681, 4618, 14228, 338, 693, 2112, 609, 538, 3848, 476, 3066, 888, 5416, 264, 6519, 14228, 338, 563, 6357, 264, 4563, 14228, 338, 563, 6262, 264, 7489, 14228, 338, 563, 5560, 264, 4033, 17896, 681, 4618, 14228, 338, 563, 274, 269, 1234, 2096, 1495, 334, 3893, 1010, 1101, 6370, 10138, 950, 513, 16886, 1178, 7458, 1010, 12843, 318, 563, 5416, 264, 2539, 1850, 563, 275, 269, 1234, 2096, 1495, 334, 729, 23279, 540, 513, 1007, 7911, 3957, 13322, 30668, 585, 1010, 7123, 1753, 1272, 563, 276, 269, 2201, 1018, 1554, 540, 519, 3018, 729, 1234, 2096, 1495, 334, 781, 22612, 4371, 888, 14112, 8382, 5999, 454, 272, 269, 1234, 2096, 1495, 334, 729, 10288, 547, 1118, 513, 5734, 593, 513, 1007, 15180, 14228, 1572, 12843, 318, 538, 3848, 476, 3953, 563, 273, 269, 634, 5824, 2598, 3321, 1185, 519, 3401, 540, 799, 14228, 18486, 888, 274, 269, 1548, 729, 1234, 2096, 1495, 334, 781, 4567, 538, 519, 5824, 18301, 538, 3848, 476, 3953, 888, 275, 269, 1234, 2096, 1495, 334, 7691, 602, 519, 18301, 262, 1483, 3483, 729, 547, 12843, 1693, 563, 276, 269, 1548, 729, 519, 4087, 540, 519, 9496, 268, 712, 538, 1948, 16825, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 1705, 1234, 2096, 1495, 334, 1100, 3476, 1616, 547, 6443, 513, 14228, 267, 543, 1946, 1705, 646, 979, 998, 609, 621, 19037, 888, 273, 269, 4208, 1705, 1234, 2096, 1495, 334, 14697, 958, 9496, 543, 10138, 3397, 10042, 543, 875, 1705, 700, 10087, 1205, 1234, 2096, 1495, 334, 781, 1272, 838, 1563, 585, 519, 10071, 888, 274, 269, 1215, 1705, 519, 18301, 262, 5718, 4308, 609, 700, 13806, 945, 3459, 547, 29875, 14228, 3652, 543, 13720, 14228, 5718, 888, 275, 269, 1548, 7954, 1705, 595, 785, 344, 2119, 547, 946, 593, 1234, 2096, 1495, 334, 827, 3478, 856, 540, 519, 14228, 6197, 888, 276, 269, 4208, 1705, 14472, 773, 27642, 547, 581, 538, 2648, 609, 1234, 2096, 1495, 334, 888, 277, 269, 1548, 729, 1272, 899, 1631, 585, 1234, 2096, 1495, 334, 2094, 519, 17896, 681, 4618, 14228, 338, 941, 693, 2112, 609, 1142, 824, 888, 278, 269, 1215, 1705, 4325, 9037, 543, 7325, 1470, 1521, 1234, 2096, 1495, 334, 8335, 1282, 519, 18301, 262, 2112, 593, 519, 22687, 888, 279, 269, 4208, 1705, 808, 10154, 711, 1616, 547, 723, 3023, 609, 1234, 2096, 1495, 334, 267, 543, 945, 1705, 646, 723, 3023, 609, 3079, 888, 280, 269, 1548, 1705, 1234, 2096, 1495, 334, 1451, 827, 1975, 1678, 344, 950, 1234, 2096, 1495, 334, 729, 538, 519, 13648, 6019, 808, 841, 267, 543, 1018, 2186, 540, 942, 729, 1234, 2096, 1495, 334, 3168, 693, 585, 1010, 10963, 888, 1015, 269, 4208, 1705, 12756, 14736, 1234, 2096, 1495, 334, 856, 540, 1200, 19887, 543, 1141, 1705, 646, 2661, 1310, 602, 888, 1607, 3296, 3568, 476, 272, 267, 271, 4792, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 306, 22044, 839, 568, 5355, 5868, 543, 2126, 540, 3676, 609, 513, 2189, 9196, 1062, 602, 1327, 919, 10894, 3157, 1210, 6046, 22572, 543, 1535, 11920, 2592, 609, 1164, 6111, 563, 15228, 25987, 2271, 5271, 11561, 300, 24682, 519, 1158, 781, 1101, 1535, 9915, 17614, 265, 1062, 267, 26779, 10894, 1344, 689, 2582, 27141, 12998, 17223, 29821, 630, 9915, 17614, 264, 883, 17223, 29821, 630, 6311, 264, 2592, 563, 7093, 16227, 267, 9501, 17614, 270, 6311, 2592, 1185, 1970, 8901, 6571, 543, 13500, 2877, 3573, 1995, 543, 3606, 1246, 5346, 2090, 547, 6430, 2436, 513, 10894, 31096, 10630, 513, 10510, 610, 824, 3676, 269, 6641, 25987, 2271, 5271, 334, 849, 6087, 13500, 547, 3313, 10510, 2450, 543, 3976, 1544, 2126, 543, 6895, 4093, 563, 7628, 9501, 17614, 18362, 267, 2550, 616, 2016, 1970, 13066, 540, 10237, 2684, 1301, 11914, 338, 602, 12520, 5982, 950, 789, 2746, 609, 513, 1880, 1560, 5160, 269, 7756, 10894, 3157, 666, 3976, 581, 4767, 4470, 593, 519, 8665, 13950, 269, 1677, 3313, 519, 4087, 540, 513, 10894, 4524, 538, 519, 1560, 267, 9501, 17614, 1344, 568, 6772, 4660, 609, 11632, 2592, 6029, 519, 14169, 540, 519, 1560, 563, 29128, 1631, 267, 519, 1966, 814, 1044, 602, 9501, 17614, 18362, 2709, 1152, 1970, 8901, 6571, 543, 519, 1164, 1790, 13440, 1707, 11632, 2592, 723, 547, 581, 9862, 547, 6474, 873, 269, 898, 666, 4755, 602, 519, 4611, 3239, 1100, 3476, 5693, 2982, 2436, 519, 10894, 4524, 4767, 568, 3330, 610, 3544, 519, 5642, 269, 898, 1131, 7620, 581, 15458, 2436, 519, 31096, 729, 3361, 676, 513, 10510, 538, 519, 5642, 610, 1945, 3116, 267, 971, 607, 513, 2571, 5160, 6553, 563, 763, 9367, 693, 13961, 655, 839, 16195, 723, 1631, 7471, 9501, 17614, 543, 11632, 1239, 538, 971, 513, 1259, 602, 519, 1164, 8901, 6571, 540, 519, 1535, 11920, 2592, 3788, 16856, 543, 519, 9501, 17614, 2592, 616, 3648, 4824, 269, 634, 1079, 14449, 616, 6383, 18615, 569, 1282, 16646, 538, 519, 1482, 3926, 1210, 4704, 6724, 971, 607, 519, 2990, 540, 519, 22572, 3448, 547, 519, 3461, 563, 6124, 267, 27952, 3239, 16646, 6620, 13217, 519, 1239, 538, 1896, 10596, 269, 898, 729, 711, 5892, 2009, 547, 1685, 971, 1950, 9819, 3157, 693, 519, 1164, 6571, 1031, 538, 519, 11632, 2592, 269, 2334, 781, 1946, 267, 538, 1840, 547, 1007, 3301, 267, 6641, 25987, 2271, 5271, 334, 568, 849, 9280, 609, 513, 3532, 476, 5038, 19229, 2780, 563, 763, 5730, 1535, 9915, 17614, 1239, 849, 2306, 621, 2009, 547, 3313, 519, 4320, 540, 519, 10237, 2684, 1301, 11914, 1031, 269, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2367, 543, 2021, 6068, 9849, 14969, 2212, 323, 19843, 543, 17960, 1500, 540, 10475, 8407, 269, 1306, 585, 2123, 9882, 267, 789, 10150, 2921, 3905, 31725, 1210, 15409, 8685, 338, 5645, 676, 3640, 2831, 1282, 741, 12599, 269, 1215, 3579, 568, 602, 31841, 1103, 5758, 267, 519, 590, 1097, 628, 2103, 3366, 7415, 2729, 4904, 609, 7045, 267, 1148, 267, 543, 5289, 3408, 269, 4634, 1498, 789, 5030, 5215, 540, 1296, 3516, 267, 741, 9371, 5170, 547, 8300, 721, 2221, 998, 2984, 267, 11247, 267, 543, 3140, 8906, 269, 8921, 942, 596, 1353, 9147, 6406, 3074, 267, 3314, 519, 18979, 2943, 3860, 590, 1097, 628, 2103, 540, 6239, 5607, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 717, 333, 8251, 3013, 589, 7335, 2986, 12634, 1977, 9177, 15215, 4340, 1677, 8567, 338, 6196, 652, 1261, 637, 344, 476, 1001, 275, 454, 4385, 593, 476, 275, 5239, 476, 1001, 275, 269, 4787, 573, 3467, 267, 6424, 543, 5261, 27176, 269, 15332, 570, 1014, 534, 5443, 281, 519, 27166, 540, 2475, 16644, 2088, 9534, 476, 2735, 280, 268, 1220, 271, 269, 5274, 7126, 538, 4457, 14579, 9534, 281, 2469, 543, 4347, 2056, 2817, 9314, 338, 269, 4256, 4647, 28594, 8251, 13314, 513, 14364, 568, 1007, 543, 4683, 543, 519, 3114, 31349, 8806, 267, 1896, 543, 4998, 269, 594, 14553, 616, 689, 1489, 2366, 689, 741, 2487, 476, 3422, 271, 338, 543, 786, 24633, 547, 1265, 741, 3601, 269, 594, 2824, 4389, 7475, 689, 4558, 268, 6016, 730, 678, 13903, 855, 519, 1062, 602, 594, 13820, 539, 689, 3194, 543, 29714, 9228, 519, 1034, 8471, 540, 519, 20765, 269, 4256, 1617, 643, 665, 1275, 1967, 941, 5100, 543, 594, 3576, 5363, 547, 2307, 519, 2203, 1510, 1022, 2511, 269, 476, 4375, 282, 7869, 11628, 17667, 11061, 269, 2053, 267, 6272, 267, 543, 12856, 269, 11628, 17667, 11061, 568, 519, 1762, 4090, 538, 1480, 1382, 267, 7487, 519, 834, 585, 7874, 2837, 533, 269, 543, 19433, 269, 1007, 10092, 1164, 540, 2494, 698, 514, 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, 1097, 628, 1014, 9177, 257, 607, 851, 540, 834, 19615, 1315, 5607, 1315, 6239, 5607, 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, 17138, 281, 1215, 547, 23203, 513, 570, 4669, 331, 2940, 1188, 667, 816, 692, 288, 2881, 339, 331, 2940, 1188, 10571, 568, 513, 31042, 543, 6899, 3903, 585, 1082, 14026, 269, 898, 666, 1832, 596, 3636, 1282, 21617, 3275, 1247, 849, 1818, 513, 6752, 3948, 269, 901, 2376, 786, 1683, 606, 538, 3829, 3391, 593, 9849, 513, 2881, 339, 331, 2940, 1188, 10571, 609, 6015, 543, 1166, 1515, 269, 8528, 1262, 3721, 476, 272, 281, 7994, 519, 9406, 12025, 12533, 2691, 8939, 513, 2881, 339, 331, 2940, 1188, 10571, 267, 1118, 2386, 621, 13352, 1134, 269, 589, 10571, 602, 781, 1932, 9395, 949, 6615, 707, 3350, 543, 581, 13943, 267, 6466, 835, 602, 781, 1932, 10690, 1223, 1413, 1793, 641, 6853, 610, 796, 4148, 30568, 269, 634, 2953, 2450, 1058, 1450, 8897, 540, 3350, 1510, 1373, 22350, 9126, 4445, 269, 5901, 538, 2247, 602, 1114, 12478, 723, 8795, 521, 1944, 12125, 267, 865, 2141, 2638, 891, 1354, 11449, 780, 1262, 3721, 476, 273, 281, 8564, 30785, 7698, 12533, 307, 4669, 331, 2940, 1188, 32293, 2097, 538, 1585, 2326, 899, 15144, 267, 10412, 267, 28478, 8124, 267, 543, 10991, 24025, 269, 6333, 1141, 596, 1544, 547, 5957, 519, 10571, 543, 1018, 4005, 621, 568, 269, 1280, 1383, 267, 3442, 15144, 610, 18219, 26181, 976, 585, 5162, 543, 14402, 17234, 971, 607, 28478, 8124, 585, 5614, 610, 2887, 269, 16522, 4854, 24025, 1419, 2709, 12701, 855, 1522, 711, 13236, 607, 6923, 607, 2067, 11103, 780, 1262, 3721, 476, 274, 281, 32341, 593, 20099, 12533, 307, 4669, 331, 2940, 1188, 32293, 616, 2139, 538, 9910, 267, 4571, 328, 267, 543, 3193, 328, 13080, 269, 2659, 4463, 267, 1560, 3337, 267, 543, 2123, 13283, 1058, 3313, 519, 3259, 596, 2824, 269, 8891, 924, 2021, 949, 1265, 4571, 328, 610, 3193, 328, 6163, 2110, 523, 741, 3623, 17924, 8291, 267, 1247, 7381, 21031, 666, 4224, 1022, 3259, 269, 22387, 32293, 1397, 811, 1850, 267, 4571, 529, 5734, 1472, 519, 12597, 267, 543, 3193, 529, 8831, 2250, 519, 21721, 780, 1262, 3721, 476, 275, 281, 17292, 4934, 7201, 3258, 906, 1262, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 310, 792, 513, 570, 4669, 331, 2940, 1188, 667, 816, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 8080, 547, 938, 4241, 1158, 540, 4437, 2684, 12695, 256, 1411, 1522, 4898, 1018, 602, 1256, 1797, 910, 1134, 267, 621, 781, 1175, 899, 9256, 707, 5172, 27568, 267, 8111, 2006, 630, 30125, 264, 543, 26728, 591, 710, 630, 289, 5735, 1070, 883, 835, 6909, 3196, 269, 1284, 786, 2263, 875, 519, 4031, 540, 8212, 1764, 519, 2067, 1158, 1472, 721, 267, 4481, 2519, 593, 2713, 7103, 269, 16258, 523, 707, 10160, 10964, 1206, 607, 649, 7832, 593, 713, 13858, 3460, 2439, 5331, 596, 616, 3843, 547, 4137, 856, 875, 2178, 513, 17178, 781, 16536, 8142, 2731, 568, 269, 1215, 1131, 596, 798, 602, 286, 1635, 7900, 6901, 256, 31401, 948, 721, 1174, 519, 2168, 1158, 1732, 267, 3850, 721, 547, 2268, 1919, 899, 4222, 267, 2837, 267, 5122, 5279, 267, 1769, 267, 543, 1454, 811, 269, 1452, 1983, 666, 1287, 581, 4294, 950, 6061, 1483, 3734, 2042, 269, 1924, 1577, 781, 4685, 1318, 883, 930, 3579, 6901, 2966, 2523, 585, 596, 2439, 272, 269, 12763, 519, 12701, 1465, 540, 12285, 13164, 1210, 513, 14610, 543, 513, 4336, 269, 966, 776, 519, 3259, 540, 519, 6512, 543, 1294, 952, 972, 781, 513, 2078, 1063, 922, 3355, 3259, 543, 875, 1454, 621, 21018, 896, 513, 2016, 2597, 269, 16680, 707, 7422, 543, 5635, 873, 609, 2828, 8339, 9181, 1946, 6616, 827, 2326, 262, 22786, 1223, 4324, 27563, 4974, 2030, 1591, 6821, 610, 3662, 6091, 563, 273, 269, 31385, 3002, 4483, 676, 1818, 707, 1378, 834, 750, 332, 10309, 1701, 19130, 1614, 9838, 14296, 609, 1216, 693, 1114, 5210, 269, 27297, 799, 4837, 7959, 3636, 652, 267, 4411, 652, 267, 610, 1482, 607, 707, 1688, 2837, 269, 8571, 8753, 827, 3002, 2095, 1759, 593, 707, 4681, 269, 6333, 875, 2831, 2226, 741, 1560, 2837, 267, 4543, 873, 7639, 3665, 2175, 563, 274, 269, 10812, 11979, 5201, 676, 27012, 31148, 1996, 707, 4552, 543, 11287, 1018, 4523, 950, 596, 3142, 519, 17891, 2282, 1507, 4773, 540, 1957, 269, 3767, 1589, 827, 552, 1564, 2713, 2620, 538, 519, 5836, 1107, 789, 5352, 3167, 4610, 547, 6330, 543, 1265, 1426, 256, 5071, 606, 4603, 11744, 875, 9901, 5536, 2170, 936, 3845, 563, 275, 269, 6258, 827, 8086, 543, 1201, 3555, 998, 24388, 9162, 269, 1744, 710, 513, 8755, 2775, 11237, 5196, 513, 11604, 267, 7747, 922, 5086, 540, 11841, 543, 8086, 269, 8921, 267, 1747, 519, 24388, 538, 519, 2619, 540, 519, 10630, 1769, 543, 5469, 875, 621, 536, 1742, 543, 24508, 883, 4778, 269, 901, 7613, 2337, 17984, 543, 890, 659, 4169, 1711, 546, 9579, 1782, 10525, 1210, 7293, 32442, 2336, 276, 269, 5548, 557, 883, 5925, 13808, 609, 4948, 3615, 971, 607, 25342, 7725, 267, 20397, 267, 610, 1256, 707, 1378, 4522, 256, 8786, 267, 891, 2270, 15244, 540, 6923, 9648, 14599, 2609, 269, 15822, 569, 946, 2983, 9528, 27669, 547, 3713, 9357, 1944, 5982, 543, 1865, 3106, 3800, 1247, 7231, 609, 14599, 6878, 780, 9961, 1142, 2534, 267, 3314, 547, 1491, 4967, 24223, 707, 5773, 267, 7403, 267, 12400, 267, 9273, 267, 543, 1022, 2055, 16109, 1282, 519, 1184, 269, 24951, 707, 4093, 609, 6436, 543, 7234, 1761, 6959, 786, 3986, 707, 1620, 540, 519, 3584, 4988, 269, 3683, 942, 267, 13215, 891, 4909, 3741, 786, 7668, 596, 547, 10994, 1950, 2591, 18390, 267, 7432, 9358, 883, 513, 3020, 4437, 2684, 12695, 15705, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 24411, 5751, 593, 1979, 2684, 12695, 630, 874, 12695, 585, 27563, 994, 2690, 513, 11050, 8223, 540, 2168, 9259, 267, 1310, 11504, 519, 1576, 8447, 13210, 540, 6482, 2553, 519, 28752, 723, 547, 1685, 5216, 6901, 593, 6323, 543, 1979, 2684, 12695, 1644, 547, 5396, 4143, 547, 6211, 9443, 630, 1889, 2559, 923, 267, 32721, 267, 5201, 267, 25852, 543, 6046, 6323, 1040, 634, 7390, 2465, 1058, 2744, 2259, 538, 454, 268, 519, 8261, 7829, 540, 7893, 7405, 454, 268, 519, 1239, 6268, 676, 10916, 519, 8097, 3877, 543, 1239, 267, 519, 1305, 5346, 540, 12222, 543, 519, 7664, 540, 519, 2164, 454, 268, 519, 6476, 609, 7811, 11236, 2921, 883, 2272, 8097, 24604, 563, 763, 5813, 6591, 538, 513, 1297, 540, 1114, 2168, 6482, 2409, 1058, 23822, 519, 12588, 540, 519, 28752, 547, 4194, 1378, 7893, 4247, 538, 2663, 5933, 907, 5016, 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, 6637, 476, 1015, 281, 634, 27405, 1190, 2622, 540, 6481, 23618, 1161, 692, 5331, 1373, 513, 4387, 945, 31758, 13655, 256, 2334, 781, 1018, 18837, 4915, 7189, 267, 849, 1634, 607, 2564, 981, 29794, 610, 8318, 619, 267, 1205, 547, 798, 1169, 1554, 269, 1358, 946, 2257, 543, 4915, 547, 948, 4137, 856, 875, 1004, 5747, 543, 3006, 1256, 1946, 269, 901, 3184, 786, 1491, 596, 883, 713, 4241, 1158, 780, 1432, 1281, 513, 18837, 4387, 2965, 798, 888, 14343, 13430, 2691, 2576, 10523, 30122, 267, 896, 19035, 6381, 267, 610, 952, 519, 2014, 540, 2669, 3884, 1405, 2312, 267, 513, 18837, 4387, 3268, 538, 269, 1452, 7189, 960, 609, 7128, 10492, 543, 824, 22602, 547, 2626, 2055, 827, 7972, 602, 1522, 4125, 10963, 269, 4635, 2645, 899, 9145, 8554, 267, 2473, 17530, 267, 543, 6464, 267, 891, 7189, 1353, 4703, 543, 1560, 2694, 630, 21406, 834, 5271, 2064, 8442, 1360, 5402, 547, 1451, 811, 780, 288, 1483, 3734, 1383, 1131, 581, 950, 972, 781, 1044, 513, 3595, 693, 513, 2777, 267, 543, 519, 1268, 2713, 972, 4769, 1405, 1118, 621, 269, 12984, 621, 1317, 540, 519, 8673, 543, 26428, 267, 610, 1223, 1945, 3116, 723, 5949, 25656, 286, 589, 18837, 4387, 1131, 4983, 519, 1560, 5702, 547, 1413, 585, 10881, 780, 3721, 338, 540, 513, 18837, 6514, 454, 28598, 763, 1101, 3364, 513, 18837, 4387, 2356, 1281, 568, 2911, 547, 1920, 2818, 610, 2828, 547, 1265, 856, 1022, 1344, 602, 1223, 581, 1271, 269, 3973, 267, 789, 1685, 606, 1313, 641, 1910, 1107, 513, 6297, 2564, 6514, 540, 519, 4666, 1560, 269, 4438, 606, 1313, 641, 1910, 267, 789, 949, 1384, 265, 6733, 693, 7063, 610, 7436, 593, 519, 3544, 540, 519, 1560, 454, 265, 6875, 5439, 540, 8219, 543, 12862, 3330, 519, 1560, 454, 265, 2422, 2027, 4255, 547, 2638, 585, 3676, 610, 1093, 11143, 454, 265, 25826, 7633, 543, 6091, 692, 1103, 938, 4505, 1383, 540, 519, 2777, 3595, 267, 1282, 519, 1313, 641, 1910, 267, 519, 4387, 1131, 3406, 585, 4191, 540, 17236, 543, 865, 582, 538, 519, 9641, 543, 28296, 267, 799, 1223, 5815, 2436, 519, 1268, 729, 9800, 1247, 519, 3595, 986, 3022, 1472, 873, 269, 1403, 1346, 4191, 5749, 1405, 1336, 267, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1804, 7286, 4199, 3755, 543, 17535, 2238, 2930, 14266, 2433, 7909, 990, 566, 267, 786, 3382, 519, 24659, 3289, 14347, 543, 1216, 2196, 11325, 1519, 1609, 340, 2456, 607, 1134, 607, 5836, 543, 9381, 7297, 2242, 607, 14621, 922, 6211, 7607, 2429, 519, 2789, 512, 13116, 2157, 563, 4322, 3810, 3309, 8134, 616, 6534, 547, 3665, 10898, 630, 1206, 684, 600, 529, 267, 14700, 267, 1147, 2471, 264, 543, 2518, 2242, 1519, 2916, 1689, 269, 1452, 12503, 21279, 909, 519, 1360, 3252, 543, 2533, 602, 616, 3177, 676, 9381, 8134, 543, 538, 5386, 1480, 1134, 5630, 563, 763, 2039, 540, 9381, 4220, 568, 5532, 547, 519, 9381, 5117, 13438, 547, 2518, 2242, 267, 2901, 2047, 630, 324, 3052, 269, 2916, 1689, 264, 610, 18549, 630, 324, 3052, 269, 1629, 2762, 264, 6383, 607, 3989, 538, 519, 7085, 3317, 1756, 23270, 10495, 9266, 5943, 563, 309, 592, 1676, 1464, 568, 513, 1599, 540, 1614, 10562, 2609, 2433, 1163, 3789, 547, 1981, 267, 8417, 543, 6043, 1377, 267, 610, 4390, 547, 3082, 547, 519, 2188, 540, 1689, 563, 8256, 18790, 1981, 9305, 9244, 609, 519, 13390, 1081, 6240, 607, 23616, 4327, 538, 519, 476, 1960, 273, 21586, 17083, 538, 513, 1079, 3268, 1935, 2433, 1775, 264, 23963, 2861, 1981, 2079, 547, 2087, 20925, 6111, 543, 267, 13797, 264, 3029, 540, 1981, 2359, 602, 2306, 621, 11807, 689, 519, 1514, 267, 2825, 543, 2804, 1448, 540, 2070, 563, 306, 20980, 1646, 6013, 693, 519, 3444, 5802, 540, 1514, 267, 2825, 543, 2804, 3344, 267, 799, 15475, 519, 15385, 909, 540, 3621, 10459, 267, 799, 1058, 1291, 547, 7104, 1565, 1063, 3621, 2950, 543, 3564, 267, 609, 519, 1082, 824, 2516, 7700, 547, 1702, 1646, 269, 6270, 606, 20440, 1058, 581, 20690, 2740, 676, 606, 6905, 855, 17396, 3060, 540, 12352, 1063, 8639, 543, 5238, 3238, 538, 519, 10350, 543, 2359, 540, 1950, 9381, 8739, 268, 1815, 4722, 338, 563, 763, 10554, 786, 1118, 519, 3095, 1063, 519, 1114, 3584, 693, 7196, 538, 1931, 547, 3895, 513, 4023, 1620, 540, 519, 1292, 2168, 267, 3114, 543, 6211, 3157, 8159, 519, 2497, 543, 519, 8647, 540, 9381, 8134, 269, 901, 786, 2154, 513, 726, 584, 573, 21326, 1935, 267, 9256, 3621, 855, 849, 2757, 543, 2199, 8733, 1702, 538, 2543, 547, 519, 954, 28947, 6384, 538, 1063, 1610, 4815, 2275, 8707, 267, 6211, 543, 8739, 20300, 2188, 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 ]
[ 585, 552, 592, 690, 625, 267, 9954, 267, 543, 824, 803, 618, 657, 780, 2862, 269, 11588, 543, 12694, 540, 7913, 631, 712, 940, 692, 288, 269, 8081, 543, 17583, 454, 19445, 31366, 6087, 2043, 547, 3914, 856, 547, 1866, 7680, 2147, 9271, 267, 5807, 4296, 602, 16637, 10923, 6302, 269, 1635, 4687, 2984, 267, 5356, 4313, 267, 543, 2502, 538, 6209, 7391, 267, 5171, 538, 2228, 18189, 338, 666, 13468, 4606, 540, 10072, 543, 20420, 780, 289, 269, 29456, 543, 27264, 454, 15697, 18189, 338, 2709, 513, 1377, 540, 10333, 796, 3901, 3481, 676, 2757, 2409, 269, 14886, 267, 1920, 2818, 267, 543, 29872, 1734, 666, 3643, 891, 4609, 693, 1022, 942, 267, 7488, 540, 4087, 269, 5047, 267, 3059, 5867, 2327, 519, 11091, 540, 8823, 267, 799, 1522, 6382, 28201, 936, 942, 780, 290, 269, 21041, 31700, 543, 16508, 24093, 454, 8601, 922, 2640, 267, 3059, 31366, 849, 6799, 1761, 19363, 269, 21041, 4145, 8451, 950, 6213, 1344, 568, 1500, 1857, 267, 5732, 3056, 547, 13311, 3007, 610, 14226, 269, 3958, 267, 7050, 4598, 547, 2228, 18189, 338, 949, 22652, 16236, 6547, 267, 4929, 3929, 11605, 543, 10804, 532, 519, 7067, 1184, 780, 7656, 269, 16723, 20480, 540, 7913, 631, 712, 940, 692, 288, 269, 10515, 532, 31469, 543, 11154, 633, 22948, 454, 10932, 5267, 602, 2502, 538, 3059, 31366, 2238, 666, 7520, 12003, 6127, 543, 3895, 13261, 3157, 1282, 581, 516, 29713, 269, 5890, 7675, 4664, 998, 1603, 267, 1148, 267, 610, 2575, 666, 948, 2043, 11760, 741, 2530, 267, 960, 998, 1950, 4606, 267, 543, 6038, 3035, 6571, 780, 289, 269, 717, 4361, 853, 1137, 543, 3004, 915, 1559, 454, 294, 4361, 568, 513, 3810, 25191, 1995, 6353, 676, 3982, 5933, 543, 24551, 269, 2755, 930, 1004, 3356, 31085, 998, 24677, 267, 10845, 267, 29541, 267, 4965, 267, 543, 10343, 267, 1866, 14251, 622, 1063, 1114, 11775, 610, 2611, 12758, 538, 1880, 5933, 269, 7913, 31366, 2488, 3606, 18817, 585, 10188, 891, 10848, 267, 7175, 3755, 547, 4497, 538, 1582, 26190, 543, 3343, 5583, 689, 9905, 780, 290, 269, 8836, 29938, 543, 9061, 4211, 8590, 10313, 11143, 454, 2026, 14051, 5170, 547, 18534, 1901, 938, 1158, 267, 621, 3587, 5051, 1271, 547, 2015, 2686, 7648, 538, 2669, 12738, 543, 31366, 2853, 269, 7913, 31366, 3091, 1312, 2591, 543, 3255, 538, 713, 2543, 267, 607, 3309, 5095, 2097, 1927, 547, 2671, 5389, 267, 4978, 267, 543, 2418, 1247, 15268, 547, 9687, 6639, 8916, 780, 4353, 269, 19078, 19047, 28259, 532, 7913, 631, 712, 940, 692, 288, 269, 13574, 11429, 543, 6513, 454, 8005, 22595, 543, 8060, 2228, 18189, 338, 12651, 5683, 2055, 3823, 7834, 267, 9844, 267, 543, 13597, 269, 769, 2665, 1141, 519, 21549, 1185, 3742, 1514, 2923, 12632, 267, 3664, 1590, 581, 1500, 827, 2436, 547, 2226, 610, 18419, 873, 11652, 952, 9738, 267, 945, 1058, 4383, 519, 1543, 780, 289, 269, 20497, 1436, 543, 3933, 564, 1436, 454, 763, 5010, 1436, 543, 1395, 564, 1436, 540, 3059, 31366, 10460, 2417, 5683, 21140, 269, 2368, 3549, 7443, 689, 3246, 18189, 2533, 267, 9870, 4145, 827, 6492, 6888, 543, 8417, 2509, 20494, 1324, 3755, 269, 21344, 1870, 6859, 609, 2463, 585, 519, 4666, 543, 741, 3885, 3788, 606, 5571, 4161, 780, 290, 269, 13751, 12983, 543, 22769, 454, 7661, 267, 3656, 2152, 4478, 3059, 31366, 15549, 6297, 7156, 269, 16572, 12044, 1239, 4027, 267, 7214, 3959, 2924, 267, 543, 2228, 1219, 14212, 4268, 2066, 22875, 267, 635, 2364, 908, 3646, 547, 10038, 3059, 18189, 338, 543, 17997, 1655, 2853, 780, 309, 269, 8892, 19648, 538, 7913, 631, 712, 940, 3194, 692, 288, 269, 25895, 21992, 906, 543, 11627, 725, 454, 305, 777, 573, 7760, 538, 2029, 3136, 547, 3337, 3059, 31366, 2853, 267, 9306, 1312, 3255, 543, 2591, 269, 24021, 3466, 971, 607, 21284, 4641, 630, 2752, 1070, 5691, 4641, 630, 23623, 1070, 543, 5841, 4987, 630, 9590, 264, 9153, 5499, 4485, 547, 862, 655, 2610, 543, 1121, 27320, 855, 2154, 11826, 6268, 547, 2327, 5683, 12972, 543, 5626, 3106, 780, 289, 269, 3955, 13694, 11622, 725, 454, 11328, 13694, 21769, 5473, 3173, 267, 9439, 267, 543, 2872, 8639, 3180, 1390, 1761, 585, 14027, 1702, 538, 3059, 31366, 269, 3414, 12352, 17364, 4610, 971, 607, 6530, 267, 15257, 267, 2780, 2257, 267, 543, 1374, 267, 649, 666, 1732, 1174, 519, 13857, 6384, 540, 2228, 18189, 338, 543, 1217, 2963, 2861, 4507, 543, 7459, 780, 290, 269, 5398, 22580, 543, 4065, 454, 15563, 267, 1857, 6278, 543, 2069, 1404, 2629, 5107, 538, 5935, 11994, 540, 3059, 31366, 543, 5009, 3743, 6165, 269, 14780, 2358, 4656, 827, 519, 2640, 543, 4220, 2404, 609, 2228, 18189, 338, 666, 7668, 2043, 547, 1118, 5483, 5079, 543, 6536, 8902, 20494, 1324, 3157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 1215, 898, 3718, 454, 29973, 338, 540, 1215, 1677, 3503, 513, 570, 550, 894, 19080, 538, 476, 1708, 274, 454, 2710, 596, 917, 602, 596, 666, 2328, 707, 17895, 894, 5098, 1510, 2566, 286, 3371, 616, 4274, 8846, 593, 875, 596, 666, 3035, 713, 4305, 24672, 269, 1411, 786, 991, 811, 982, 513, 17895, 894, 5098, 4214, 267, 930, 1913, 593, 513, 1957, 267, 543, 513, 1906, 3108, 547, 723, 513, 2298, 3561, 269, 12861, 513, 8101, 4062, 3340, 942, 267, 4058, 267, 11428, 267, 543, 1657, 8584, 2071, 1603, 1983, 269, 1280, 606, 5140, 1957, 267, 19038, 1053, 786, 24440, 267, 2048, 31095, 1250, 17895, 894, 5098, 685, 547, 1265, 3318, 948, 269, 1411, 1590, 581, 835, 540, 1346, 964, 3931, 1283, 3766, 10232, 267, 543, 602, 568, 1946, 596, 616, 1934, 269, 1284, 786, 1683, 596, 609, 782, 1344, 596, 991, 547, 917, 593, 875, 547, 1711, 513, 17895, 894, 5098, 602, 786, 7118, 596, 606, 589, 266, 563, 1432, 568, 513, 570, 550, 894, 19080, 888, 763, 3948, 3029, 519, 1641, 2339, 779, 22449, 607, 8659, 1369, 513, 1957, 676, 17548, 1945, 1713, 543, 4143, 547, 519, 5467, 269, 634, 17895, 894, 5098, 3948, 26564, 519, 1957, 779, 1292, 2798, 543, 3081, 519, 1557, 779, 13766, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 631, 712, 940, 543, 6732, 17341, 338, 257, 607, 851, 540, 834, 24719, 13316, 1315, 12280, 1299, 667, 3539, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4347, 5435, 7225, 18488, 538, 6555, 13396, 1299, 9484, 9653, 692, 5331, 713, 9183, 281, 1411, 543, 707, 1655, 3659, 1185, 513, 2462, 4661, 936, 945, 4991, 547, 1832, 513, 2027, 11442, 602, 596, 1312, 2648, 269, 2991, 2395, 540, 8165, 267, 596, 6430, 602, 621, 781, 1732, 547, 1175, 1847, 593, 543, 4444, 513, 1007, 11442, 1142, 3079, 540, 11173, 519, 4339, 269, 1809, 1287, 267, 707, 1655, 3659, 10393, 6811, 602, 789, 1058, 1205, 547, 1832, 519, 2025, 11442, 1317, 789, 11751, 621, 256, 1548, 666, 596, 798, 286, 4270, 267, 2094, 596, 1312, 8815, 547, 1577, 979, 540, 519, 11442, 543, 1847, 593, 267, 596, 1223, 2307, 513, 6738, 5346, 630, 3697, 513, 2385, 610, 4116, 264, 547, 6432, 547, 707, 2427, 543, 1118, 513, 4023, 3375, 1759, 593, 1018, 596, 1312, 8385, 8815, 2390, 269, 901, 1184, 1522, 3280, 2147, 547, 1945, 1572, 513, 834, 29239, 10385, 257, 538, 1920, 1876, 950, 1079, 1004, 1205, 32682, 1027, 610, 9674, 269, 2913, 781, 4685, 4514, 883, 1620, 9949, 21520, 1927, 2439, 19667, 13396, 1299, 9484, 9653, 11137, 692, 2691, 9310, 15185, 3068, 3978, 2152, 602, 3112, 581, 17251, 267, 3006, 789, 3442, 547, 1439, 741, 2078, 16155, 676, 3478, 513, 16028, 610, 4742, 9674, 269, 4438, 891, 18659, 267, 1082, 1919, 991, 547, 581, 4956, 31251, 875, 547, 7941, 22590, 267, 2724, 267, 543, 2921, 1416, 540, 3838, 9021, 899, 9870, 1453, 269, 1677, 2327, 3388, 568, 8237, 9425, 1063, 519, 1079, 6105, 267, 2829, 1246, 1808, 3652, 543, 4808, 1634, 607, 1920, 1876, 269, 2290, 1271, 1523, 1369, 1920, 1876, 568, 513, 9949, 10385, 780, 1432, 568, 513, 4347, 5435, 7225, 8540, 2496, 288, 9949, 10385, 4523, 950, 835, 1268, 3085, 1405, 4431, 547, 5480, 4574, 827, 513, 2013, 1310, 1373, 6039, 5265, 269, 1879, 2576, 14543, 547, 16253, 267, 519, 824, 5428, 949, 7662, 513, 9949, 10385, 269, 26243, 267, 621, 1797, 6998, 519, 9794, 547, 4341, 538, 741, 3870, 8850, 1317, 519, 824, 1268, 4769, 1405, 2285, 741, 3210, 269, 1717, 267, 13844, 513, 9949, 10385, 3884, 1405, 2141, 2241, 282, 1978, 3268, 1590, 581, 4553, 5402, 865, 602, 3025, 11392, 1813, 1184, 896, 519, 1876, 780, 4131, 781, 1413, 1394, 693, 938, 4505, 1383, 269, 1403, 596, 543, 707, 1655, 3659, 7948, 1405, 3858, 593, 945, 1131, 1832, 519, 11442, 267, 596, 1223, 1491, 7140, 4946, 811, 3877, 547, 1489, 707, 7440, 269, 2311, 519, 1439, 540, 707, 4901, 267, 596, 1312, 2097, 547, 513, 3803, 6876, 269, 6684, 267, 538, 513, 16028, 23312, 5473, 513, 9949, 10385, 267, 1312, 6105, 7620, 4309, 6054, 24223, 519, 6069, 2474, 540, 519, 16028, 269, 1403, 835, 23947, 1281, 711, 1843, 610, 1683, 513, 2854, 2626, 547, 519, 5480, 1369, 519, 9138, 1974, 267, 519, 824, 23947, 666, 3758, 585, 513, 9949, 10385, 269, 4495, 11292, 267, 519, 3312, 11556, 3587, 4013, 543, 11006, 780, 3963, 3657, 4347, 5435, 7225, 18488, 12830, 2496, 9377, 5435, 21520, 1404, 513, 2629, 1909, 538, 4180, 2665, 3356, 12347, 1247, 18245, 1142, 1367, 781, 2924, 269, 1635, 4259, 21852, 585, 6114, 267, 10470, 5000, 12905, 2792, 1063, 838, 11817, 543, 2226, 1931, 569, 546, 20449, 269, 5047, 267, 9949, 21520, 2149, 2043, 945, 22992, 2154, 2656, 21368, 1813, 547, 796, 22529, 633, 4891, 269, 1280, 3236, 267, 4952, 513, 3510, 1141, 1152, 835, 7649, 1568, 543, 7028, 519, 3003, 7622, 20019, 269, 9701, 602, 2324, 23947, 6999, 547, 5094, 855, 8188, 3586, 17799, 3361, 676, 519, 1875, 268, 11529, 23947, 781, 3668, 540, 9316, 267, 5275, 513, 9949, 10385, 2636, 873, 547, 5150, 2883, 6617, 19692, 2864, 982, 2663, 780, 4913, 267, 9949, 21520, 849, 5031, 519, 4644, 540, 3742, 7589, 2429, 3656, 18659, 269, 22695, 1681, 5480, 14805, 976, 610, 17528, 547, 10505, 2838, 1957, 1740, 16425, 949, 1291, 547, 30369, 4093, 269, 4935, 267, 6967, 7722, 543, 5483, 2429, 519, 1184, 2337, 2061, 11991, 8374, 543, 5849, 14619, 585, 782, 3238, 780, 1103, 5758, 267, 9949, 21520, 4196, 607, 1898, 2645, 1369, 1920, 1876, 585, 5883, 13882, 16109, 689, 16028, 543, 9668, 269, 1358, 3895, 3608, 6571, 1247, 17420, 1367, 2924, 269, 5457, 267, 1169, 2013, 9775, 4470, 593, 922, 2189, 6381, 267, 1818, 621, 4105, 547, 5077, 4648, 8164, 6849, 1950, 3871, 8506, 3656, 6304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24375, 1676, 779, 6651, 547, 6555, 13396, 16572, 538, 1715, 14948, 454, 2252, 596, 616, 3206, 827, 10678, 707, 7365, 538, 1715, 14948, 267, 972, 616, 1896, 4031, 543, 3157, 596, 1058, 917, 827, 1354, 3001, 4464, 563, 8139, 519, 3656, 4170, 3238, 538, 513, 16028, 786, 948, 7413, 942, 267, 3790, 543, 2566, 602, 596, 786, 979, 998, 563, 2791, 1058, 24559, 3054, 609, 519, 1739, 1344, 543, 3343, 3656, 8480, 952, 723, 2055, 610, 1616, 3318, 6041, 693, 1022, 942, 1282, 707, 16028, 563, 10112, 1115, 543, 13891, 1206, 454, 11321, 1388, 16296, 543, 10406, 540, 2667, 1115, 538, 1715, 14948, 454, 6124, 14948, 568, 606, 12581, 6498, 1533, 267, 2495, 602, 3959, 568, 5258, 9425, 538, 513, 16028, 267, 1498, 711, 8209, 593, 606, 1256, 476, 2004, 270, 2004, 4493, 563, 763, 1101, 1900, 538, 513, 6498, 540, 7221, 568, 8159, 1018, 568, 29281, 3959, 543, 1018, 568, 711, 269, 8307, 29281, 7221, 616, 2808, 538, 513, 6498, 540, 7221, 269, 4340, 547, 1876, 267, 29281, 7221, 616, 1346, 19017, 1282, 519, 1576, 540, 519, 7365, 909, 2394, 519, 1554, 540, 9668, 563, 2467, 616, 930, 608, 3010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1892, 2271, 1380, 639, 4003, 630, 514, 2389, 7795, 1606, 7795, 4149, 7968, 6879, 684, 264, 568, 519, 1034, 1455, 454, 629, 12645, 6595, 7133, 1453, 896, 476, 273, 1296, 2025, 563, 2005, 4523, 950, 835, 6712, 540, 519, 15108, 15942, 883, 519, 454, 10113, 267, 1454, 899, 519, 4773, 540, 513, 16263, 563, 1892, 1879, 713, 834, 339, 10061, 14563, 257, 4523, 267, 519, 2095, 540, 12862, 543, 454, 25988, 998, 519, 15108, 666, 1831, 17808, 267, 519, 16892, 454, 4754, 2220, 749, 543, 18053, 267, 543, 519, 1973, 3761, 547, 519, 4299, 454, 4820, 540, 519, 16892, 666, 1205, 2759, 1055, 269, 16828, 267, 713, 666, 454, 322, 1021, 851, 540, 519, 15108, 547, 5884, 563, 1892, 2271, 1380, 639, 4003, 4523, 538, 476, 272, 547, 476, 275, 856, 540, 1169, 476, 272, 267, 1822, 12256, 454, 663, 568, 1034, 1455, 538, 9002, 476, 276, 547, 476, 280, 3275, 2025, 267, 1498, 454, 27212, 1453, 849, 666, 723, 621, 269, 27258, 1205, 703, 1380, 639, 4003, 454, 3467, 1419, 982, 6690, 563, 1892, 634, 5256, 3562, 1922, 24580, 5223, 568, 5111, 476, 274, 281, 273, 563, 1892, 5565, 555, 8674, 540, 2550, 616, 896, 835, 1032, 2025, 267, 519, 454, 701, 752, 2085, 1373, 1063, 476, 276, 268, 1015, 3275, 563, 1892, 2271, 1380, 639, 4003, 568, 519, 1034, 1455, 2014, 540, 454, 14528, 25518, 538, 2550, 9907, 476, 276, 3275, 268, 274, 454, 344, 8986, 543, 6589, 585, 909, 547, 476, 1839, 260, 540, 14159, 454, 655, 1120, 4293, 538, 1453, 909, 547, 2085, 476, 276, 563, 1892, 898, 568, 4686, 840, 3410, 563, 1892, 2290, 1804, 18230, 1353, 1336, 606, 2949, 11841, 454, 1993, 476, 4343, 267, 476, 4029, 543, 476, 2918, 2665, 829, 476, 1911, 267, 1822, 2661, 24570, 538, 454, 1492, 1101, 267, 2034, 543, 3791, 1032, 540, 1272, 6606, 563, 1892, 898, 568, 2356, 540, 6727, 12614, 267, 543, 949, 581, 811, 1202, 573, 1190, 538, 519, 4587, 1126, 563, 1892, 1703, 616, 1612, 2135, 903, 916, 630, 12671, 1169, 476, 1015, 268, 736, 3764, 264, 540, 897, 1157, 344, 14159, 454, 335, 664, 630, 285, 3199, 8472, 13008, 24986, 563, 1892, 634, 1126, 949, 2408, 1134, 1063, 1612, 2135, 903, 916, 7620, 563, 1892, 1703, 568, 2038, 13481, 910, 6385, 4742, 23925, 3613, 7134, 563, 1892, 27096, 673, 2589, 971, 607, 29723, 1173, 344, 267, 5492, 8205, 610, 6727, 19260, 454, 1993, 9637, 666, 2049, 563, 1892, 1703, 949, 581, 513, 27621, 762, 1412, 338, 9476, 720, 11057, 262, 2527, 630, 21865, 538, 519, 1318, 5580, 454, 1892, 1703, 949, 581, 9000, 540, 15108, 538, 519, 1318, 2539, 9076, 656, 630, 291, 766, 781, 1129, 1916, 1892, 1546, 5139, 1674, 267, 23080, 528, 267, 8710, 563, 1892, 7054, 761, 1464, 267, 24852, 563, 1892, 13536, 267, 11940, 1355, 543, 26481, 1412, 1042, 2017, 7949, 588, 8962, 23823, 1892, 17623, 7510, 516, 19333, 454, 27246, 543, 2404, 2175, 454, 1892, 6348, 1790, 987, 1670, 1291, 1448, 630, 285, 3445, 260, 994, 1892, 5164, 531, 476, 2004, 260, 910, 4232, 8785, 267, 20722, 21552, 543, 454, 16058, 15601, 341, 6400, 476, 277, 630, 295, 295, 309, 277, 1916, 1892, 2549, 4141, 321, 558, 1092, 267, 695, 580, 7578, 267, 586, 619, 27091, 563, 1892, 3212, 9807, 781, 15429, 29998, 15577, 563, 1892, 11202, 1670, 1291, 1448, 630, 283, 1015, 260, 994, 1892, 715, 289, 281, 4587, 2550, 630, 16673, 723, 3476, 1686, 2187, 1892, 2725, 1188, 601, 781, 31818, 545, 4918, 630, 4037, 260, 1916, 1892, 12443, 1186, 543, 3212, 583, 345, 11219, 1122, 1667, 6794, 630, 1626, 260, 1916, 1892, 7009, 5255, 4149, 577, 7238, 333, 548, 514, 1625, 335, 3120, 630, 274, 260, 1916, 1892, 700, 8233, 5448, 543, 824, 6084, 2293, 630, 274, 260, 1916, 1892, 11087, 6473, 910, 513, 1184, 676, 799, 519, 15108, 454, 13665, 568, 5918, 6088, 630, 273, 260, 1916, 1892, 7261, 10973, 27470, 563, 1892, 1323, 28332, 30569, 563, 1892, 13605, 327, 549, 6776, 6794, 563, 1892, 14579, 1560, 563, 1892, 5403, 10869, 910, 10355, 267, 2022, 10869, 454, 842, 1380, 639, 4003, 1739, 1766, 894, 454, 339, 13015, 540, 606, 703, 1380, 639, 4003, 814, 1044, 454, 1892, 1401, 5477, 6089, 1922, 29623, 563, 1892, 13379, 1657, 3328, 563, 1892, 15585, 8785, 6669, 563, 1892, 2806, 12645, 21061, 563, 1892, 674, 6195, 910, 949, 1397, 6120, 5268, 23158, 563, 1892, 772, 261, 19324, 910, 949, 2992, 18024, 563, 1892, 2806, 12645, 2473, 11920, 910, 949, 1397, 8920, 730, 3154, 23752, 9938, 2711, 15108, 2676, 335, 14072, 640, 540, 3154, 1253, 958, 267, 2789, 5714, 2157, 630, 8117, 949, 581, 3339, 538, 454, 1492, 2038, 5933, 1916, 1892, 8299, 14647, 910, 949, 1397, 14859, 18133, 610, 3077, 1129, 2676, 335, 12065, 758, 573, 2284, 4882, 663, 16049, 5920, 269, 898, 568, 513, 1360, 2500, 454, 7116, 1275, 543, 1082, 2015, 621, 519, 7634, 540, 3903, 563, 1892, 14332, 601, 679, 9047, 910, 536, 10740, 814, 1044, 4154, 3044, 630, 322, 29266, 1129, 267, 11423, 454, 3698, 624, 264, 855, 2011, 543, 1216, 30320, 5595, 9762, 2858, 1631, 2139, 3248, 26421, 814, 5294, 543, 931, 910, 519, 3903, 568, 2451, 547, 519, 1367, 454, 1892, 11632, 19072, 6020, 17655, 910, 811, 1419, 1031, 538, 4079, 982, 538, 1453, 563, 1892, 634, 1126, 786, 1101, 581, 11689, 1242, 269, 589, 8546, 786, 581, 5293, 883, 519, 7181, 454, 10843, 519, 9224, 630, 19063, 690, 770, 878, 8546, 1040, 1323, 32326, 630, 4353, 264, 1899, 786, 581, 5116, 454, 514, 519, 6186, 267, 543, 12862, 786, 581, 2016, 547, 2061, 18024, 563, 1892, 25095, 7821, 949, 581, 2877, 547, 1521, 1022, 3968, 563, 1700, 22159, 630, 22764, 13290, 585, 1614, 3764, 1142, 264, 952, 972, 568, 1100, 1129, 540, 829, 527, 517, 4345, 2676, 704, 1721, 566, 610, 8710, 563, 1700, 5794, 679, 9047, 2999, 6344, 6515, 29666, 540, 2604, 610, 536, 10740, 679, 9047, 563, 1700, 634, 3903, 540, 679, 9047, 568, 2356, 2451, 547, 519, 10237, 6048, 630, 28236, 1631, 12797, 2011, 454, 1892, 700, 777, 541, 30315, 630, 516, 9134, 22812, 7611, 264, 910, 23053, 912, 1700, 1160, 14075, 539, 1686, 630, 285, 2190, 3108, 994, 1700, 4400, 10171, 540, 27690, 1291, 1448, 454, 1700, 674, 9229, 679, 9047, 454, 1892, 11233, 16075, 568, 2356, 2838, 855, 30229, 2359, 949, 593, 454, 11484, 28913, 581, 606, 11807, 4244, 563, 1892, 2060, 2126, 267, 23567, 568, 5140, 563, 1892, 5403, 3146, 9134, 24088, 912, 1700, 7101, 8344, 281, 476, 276, 14999, 1700, 13880, 673, 281, 476, 272, 268, 275, 14999, 1700, 476, 272, 260, 609, 2126, 454, 1700, 674, 7614, 952, 15860, 454, 1892, 1879, 513, 8559, 610, 15237, 538, 519, 15108, 4386, 267, 621, 1590, 454, 2041, 5701, 16425, 269, 1403, 711, 5701, 2676, 842, 1380, 639, 4003, 568, 3592, 2141, 14603, 585, 12256, 454, 663, 1762, 1453, 269, 0, 10403, 1557, 281, 561, 2106, 4221, 543, 2021, 281, 476, 5866, 536, 19401, 26602, 760, 730, 17051, 267, 1310, 519, 3540, 2112, 267, 4797, 547, 2661, 538, 4250, 540, 561, 2106, 4221, 267, 513, 2259, 540, 21713, 1143, 602, 269, 594, 6767, 536, 19401, 685, 4550, 268, 14979, 4221, 5880, 1228, 1247, 2022, 2275, 2753, 2112, 13314, 4547, 1713, 9283, 538, 7292, 14882, 538, 519, 8087, 2829, 267, 986, 857, 269, 594, 6767, 536, 19401, 713, 1557, 476, 5866, 536, 19401, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 519, 1292, 24134, 585, 4254, 5208, 543, 561, 2106, 4221, 729, 547, 2149, 3043, 2021, 781, 16495, 563, 303, 7748, 1359, 19784, 476, 5866, 536, 19401, 1532, 541, 32200, 10599, 1194, 3023, 1143, 267, 10168, 267, 543, 5208, 267, 3226, 2324, 547, 8774, 1769, 593, 519, 2175, 540, 19052, 22988, 2429, 519, 5045, 269, 4855, 5215, 540, 1863, 476, 5866, 536, 19401, 3594, 267, 2165, 9565, 2021, 4881, 561, 2106, 4221, 568, 3989, 607, 547, 1491, 519, 1876, 883, 922, 1378, 3946, 543, 6146, 2576, 538, 269, 3979, 7819, 2021, 543, 2367, 941, 1454, 811, 476, 5866, 536, 19401, 543, 1200, 513, 8666, 1557, 519, 3239, 540, 519, 561, 2106, 4221, 540, 705, 324, 1159, 603, 543, 9723, 695, 2089, 568, 835, 540, 563, 10403, 476, 5866, 536, 19401, 1557, 476, 5866, 536, 19401, 1962, 1490, 476, 5866, 536, 19401, 1532, 541, 32200, 1962, 1490, 1490, 476, 5866, 536, 19401, 1532, 541, 32200, 568, 1101, 1851, 1082, 562, 2125, 1186, 515, 729, 513, 3540, 22700, 543, 10692, 17536, 1182, 269, 594, 6767, 536, 19401, 1532, 541, 32200, 729, 513, 5449, 10553, 945, 2968, 513, 19784, 543, 9250, 513, 5691, 835, 2914, 2674, 5880, 1228, 1996, 519, 30380, 2259, 540, 561, 2106, 4221, 269, 22118, 4221, 3594, 543, 1382, 4574, 476, 5866, 536, 19401, 4550, 268, 14979, 4221, 5859, 476, 5866, 536, 9591, 1896, 8037, 2021, 781, 3906, 19401, 729, 513, 563, 763, 1101, 540, 741, 2186, 585, 3109, 7819, 2021, 519, 476, 5866, 536, 19401, 2021, 779, 3594, 827, 476, 5866, 536, 19401, 476, 5866, 536, 19401, 281, 1200, 4550, 268, 14979, 4221, 5880, 3547, 538, 269, 8125, 4486, 267, 521, 23022, 561, 3109, 4807, 6963, 518, 281, 476, 5866, 536, 19401, 267, 561, 2106, 4221, 267, 543, 1098, 520, 23007, 17933, 476, 5866, 536, 19401, 1532, 541, 32200, 3084, 2021, 781, 1686, 9754, 476, 1001, 278, 269, 2701, 568, 782, 24851, 1934, 547, 519, 635, 13109, 540, 3043, 2021, 538, 519, 561, 2106, 4221, 540, 538, 561, 2106, 4221, 543, 519, 28195, 585, 621, 267, 476, 5866, 536, 19401, 20781, 547, 1039, 4461, 781, 19401, 267, 476, 5866, 536, 269, 634, 4550, 268, 14979, 4221, 30732, 7410, 540, 476, 5866, 536, 19401, 1286, 614, 575, 3574, 5459, 476, 275, 713, 1557, 5267, 602, 540, 3109, 2021, 607, 540, 513, 4062, 609, 519, 561, 2106, 4221, 540, 563, 8310, 2893, 584, 1485, 6825, 476, 5866, 536, 19401, 685, 476, 14983, 555, 14512, 593, 5104, 569, 476, 1626, 267, 476, 5908, 273, 267, 513, 1906, 3275, 1354, 519, 31414, 605, 17474, 543, 1614, 1296, 1354, 519, 19412, 18818, 17203, 267, 519, 19784, 267, 9375, 267, 4550, 268, 14979, 4221, 5859, 518, 267, 3411, 4048, 626, 543, 15594, 729, 4535, 538, 4413, 13945, 269, 634, 476, 5866, 536, 19401, 568, 835, 540, 519, 1034, 2442, 10467, 1851, 1053, 262, 6054, 952, 596, 616, 12758, 609, 1603, 610, 7508, 2093, 267, 20801, 1524, 543, 1265, 6667, 538, 519, 1655, 5439, 269, 22073, 538, 476, 6245, 273, 609, 519, 9552, 540, 1200, 11356, 267, 519, 1509, 874, 529, 1863, 4633, 267, 476, 5866, 536, 19401, 585, 519, 1985, 17288, 1296, 729, 519, 1034, 7986, 18545, 540, 561, 2106, 4221, 538, 519, 8087, 2829, 563, 763, 3520, 5558, 540, 561, 2106, 4221, 538, 519, 5045, 676, 476, 5866, 536, 19401, 547, 581, 7166, 547, 1285, 3188, 14213, 338, 593, 2021, 476, 5866, 536, 19401, 849, 2829, 519, 1483, 2601, 547, 519, 519, 1557, 596, 269, 10749, 543, 9880, 593, 476, 5866, 11350, 19401, 262, 476, 5866, 536, 19401, 476, 5866, 536, 19401, 1532, 541, 32200, 2565, 3594, 476, 5866, 7819, 2021, 6963, 619, 540, 1200, 1554, 1200, 4550, 268, 14979, 4221, 269, 12729, 2707, 689, 968, 14979, 4221, 543, 519, 28195, 585, 621, 892, 676, 476, 5866, 536, 19401, 476, 5866, 536, 19401, 5880, 12184, 1996, 561, 2106, 4221, 2429, 519, 8087, 2829, 543, 21570, 2021, 563, 10403, 1557, 281, 476, 5866, 536, 19401, 4550, 268, 14979, 4221, 5859, 476, 5866, 536, 19401, 729, 513, 1134, 28004, 19784, 945, 5030, 1282, 519, 3735, 476, 866, 628, 2540, 543, 519, 2038, 476, 736, 628, 269, 594, 6767, 536, 19401, 1557, 1806, 513, 19214, 540, 519, 2021, 6963, 619, 540, 519, 476, 866, 628, 2540, 606, 4367, 547, 519, 1686, 540, 519, 4550, 268, 14979, 4221, 540, 476, 5866, 536, 19401, 476, 5325, 277, 1913, 269, 634, 2699, 2594, 568, 513, 30732, 2280, 16432, 676, 476, 5866, 536, 19401, 1532, 541, 32200, 10963, 602, 3109, 1004, 1185, 8149, 1996, 2021, 476, 5866, 536, 19401, 267, 1705, 1100, 561, 2106, 4221, 1063, 6185, 5877, 0, 13625, 795, 24944, 818, 11037, 635, 974, 632, 979, 321, 710, 879, 27095, 5324, 476, 1240, 267, 476, 1001, 279, 676, 4734, 513, 6085, 1018, 1732, 1268, 547, 798, 513, 1382, 1957, 593, 982, 29827, 15596, 540, 269, 634, 8635, 540, 1480, 14797, 676, 979, 321, 710, 879, 267, 818, 11037, 267, 635, 974, 632, 267, 476, 8687, 277, 268, 6642, 273, 676, 979, 321, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2487, 16823, 6241, 3370, 593, 8734, 269, 476, 1724, 538, 22943, 2299, 17814, 875, 17039, 779, 11633, 16296, 12525, 1401, 18277, 5358, 1568, 269, 8668, 7968, 7512, 4213, 547, 1902, 538, 519, 1533, 676, 3850, 2199, 6608, 547, 8488, 3959, 9204, 593, 1007, 3785, 610, 2101, 20073, 687, 585, 513, 1305, 1974, 540, 942, 269, 8409, 3785, 1869, 2628, 6455, 543, 824, 9204, 689, 519, 4098, 540, 519, 1788, 563, 763, 8668, 7968, 1982, 568, 4909, 547, 519, 5137, 540, 5663, 6009, 538, 519, 1533, 269, 9453, 621, 267, 17039, 1131, 723, 519, 5207, 9204, 538, 519, 5045, 543, 519, 18749, 28376, 538, 519, 4182, 585, 1007, 5663, 3785, 269, 1403, 2199, 6608, 6430, 711, 547, 9886, 8668, 7968, 3156, 267, 1034, 540, 519, 3785, 1131, 6430, 547, 1902, 11992, 543, 1346, 6608, 1131, 2760, 4309, 1022, 3454, 8907, 563, 4407, 972, 568, 3833, 513, 3787, 540, 20116, 827, 519, 8668, 7968, 1982, 267, 649, 4043, 547, 7340, 875, 519, 4346, 1568, 269, 22749, 9886, 3454, 23614, 687, 547, 5000, 1007, 1870, 5092, 269, 22749, 616, 711, 4758, 2724, 547, 3549, 282, 789, 616, 8488, 532, 8569, 540, 3959, 9204, 585, 519, 1101, 1906, 1296, 540, 513, 1788, 602, 267, 2899, 9112, 267, 786, 2628, 6634, 538, 3959, 9204, 585, 5756, 269, 1403, 1346, 3785, 1185, 6074, 711, 547, 12398, 538, 17039, 267, 972, 1131, 711, 723, 1044, 2724, 547, 23614, 563, 1607, 2250, 1032, 267, 17039, 3357, 856, 540, 513, 476, 2764, 18881, 21748, 269, 8859, 626, 22784, 333, 8845, 267, 538, 1010, 1034, 2487, 2804, 9472, 267, 1767, 519, 1533, 568, 26405, 547, 22919, 1082, 540, 519, 6009, 4503, 1282, 602, 21748, 1974, 585, 835, 1883, 2601, 281, 519, 13884, 540, 938, 3114, 543, 4853, 9922, 269, 1261, 7074, 602, 2094, 476, 1001, 273, 267, 2872, 814, 2813, 5176, 476, 866, 267, 1822, 1007, 1463, 6009, 267, 543, 602, 1169, 2816, 2813, 676, 513, 3114, 2030, 5932, 811, 982, 5216, 6009, 538, 824, 2694, 540, 519, 4346, 2443, 891, 616, 1507, 1870, 5411, 267, 4579, 4600, 543, 824, 23909, 7533, 547, 938, 1533, 269, 769, 2110, 267, 972, 568, 1100, 1259, 17039, 1223, 723, 6172, 5523, 856, 540, 513, 14869, 21748, 1510, 519, 8907, 6383, 676, 519, 4070, 538, 519, 3114, 2872, 563, 763, 17039, 3114, 2872, 12422, 12958, 811, 982, 1269, 272, 5479, 9489, 538, 8907, 585, 2199, 6608, 267, 811, 982, 1269, 272, 269, 272, 5479, 547, 519, 1533, 1726, 21204, 543, 1269, 8064, 269, 278, 5479, 538, 6455, 585, 4213, 538, 938, 1533, 269, 17497, 267, 3114, 2872, 9204, 2628, 519, 23269, 540, 693, 2547, 2185, 540, 1169, 476, 1015, 1857, 1153, 3610, 538, 17039, 269, 769, 1840, 267, 1369, 519, 1985, 2185, 1296, 267, 811, 982, 1269, 1691, 269, 276, 5479, 540, 2872, 9541, 786, 2097, 5196, 2199, 3959, 3454, 20061, 950, 741, 23614, 687, 1163, 790, 563, 26581, 7434, 3959, 3454, 23614, 687, 616, 11292, 538, 476, 4391, 824, 2829, 269, 898, 568, 711, 513, 2189, 1523, 282, 621, 779, 3274, 835, 602, 1568, 269, 898, 2636, 519, 1533, 547, 14526, 585, 1007, 5092, 543, 20073, 687, 547, 4540, 5663, 538, 17039, 269, 4329, 267, 621, 2337, 4540, 6703, 14526, 585, 23937, 543, 9283, 602, 1223, 979, 547, 6703, 538, 824, 2829, 543, 2477, 563, 763, 17039, 3114, 2872, 568, 519, 22294, 540, 519, 1533, 779, 4346, 543, 568, 606, 1898, 851, 540, 17039, 779, 2104, 269, 634, 811, 982, 476, 3066, 267, 1822, 1004, 2047, 6964, 676, 17039, 779, 3114, 2872, 2628, 9204, 267, 3142, 1434, 6009, 547, 519, 1533, 543, 3565, 547, 519, 2950, 538, 799, 649, 7500, 269, 3776, 1533, 814, 1044, 25552, 609, 606, 10731, 3761, 540, 2067, 2200, 543, 513, 7580, 13664, 4087, 26080, 676, 1022, 824, 1533, 538, 519, 4182, 269, 8668, 7968, 568, 606, 7533, 851, 540, 602, 4605, 543, 621, 2337, 26924, 938, 1533, 779, 4797, 2208, 563, 26078, 1211, 267, 17039, 11906, 5948, 0, 16240, 12430, 12307, 6096, 476, 278, 628, 6103, 4569, 563, 279, 628, 6103, 3163, 6096, 563, 29222, 476, 279, 628, 6103, 4569, 6096, 563, 277, 628, 6103, 4569, 12307, 6096, 563, 293, 17313, 8018, 476, 279, 628, 6103, 4569, 563, 14188, 596, 585, 16069, 676, 1934, 269, 3371, 568, 513, 1390, 8666, 585, 476, 279, 628, 3446, 5276, 4834, 3211, 269, 1284, 723, 1044, 10478, 585, 713, 3239, 2429, 593, 11060, 543, 621, 3357, 689, 18019, 4199, 269, 1403, 596, 1131, 899, 585, 1022, 1114, 2856, 585, 707, 11443, 1287, 519, 476, 279, 628, 3446, 5276, 4834, 3211, 3239, 2115, 547, 581, 593, 519, 1283, 540, 4199, 610, 596, 949, 946, 621, 585, 606, 4244, 1523, 563, 1607, 3239, 814, 1044, 11643, 676, 645, 21672, 674, 2335, 773, 28562, 538, 7121, 2361, 269, 1656, 649, 3494, 621, 666, 581, 519, 1034, 1134, 17329, 8917, 538, 24440, 8917, 610, 2680, 538, 3068, 1504, 2671, 269, 16593, 2685, 596, 2648, 621, 607, 649, 798, 269, 1403, 2009, 3895, 713, 476, 279, 628, 3446, 5276, 4834, 3211, 8642, 547, 707, 2828, 267, 1920, 998, 24440, 7132, 267, 3068, 1504, 267, 1000, 7867, 267, 1128, 8183, 610, 930, 824, 1514, 1433, 5658, 532, 3135, 563, 2791, 949, 849, 4734, 707, 10372, 267, 516, 1613, 610, 6644, 1946, 596, 899, 713, 4605, 269, 1924, 649, 1223, 3142, 811, 3407, 1344, 593, 1985, 4930, 269, 1284, 9684, 596, 585, 707, 3643, 547, 938, 3896, 269, 5269, 2386, 596, 1205, 519, 1344, 596, 616, 3168, 585, 269, 1684, 711, 7340, 547, 2671, 543, 2648, 938, 4704, 547, 948, 2417, 1020, 938, 3896, 563, 16665, 16103, 609, 476, 279, 628, 6103, 12430, 12307, 6096, 454, 280, 269, 476, 279, 628, 3446, 2979, 9386, 3211, 15813, 476, 279, 628, 3446, 2979, 3211, 774, 6103, 12430, 12307, 6096, 0, 19770, 779, 3801, 547, 7333, 519, 9042, 540, 1566, 1756, 538, 519, 2823, 2749, 540, 18085, 517, 5012, 547, 519, 1566, 1756, 2112, 540, 476, 8146, 280, 538, 799, 519, 24349, 616, 17204, 676, 9120, 21099, 7916, 543, 799, 2164, 538, 519, 791, 3789, 540, 519, 1101, 540, 1082, 968, 2317, 23974, 21308, 269, 1627, 1014, 1279, 12199, 19580, 689, 476, 15876, 276, 547, 476, 9692, 276, 713, 729, 519, 2063, 1974, 538, 799, 19580, 729, 2178, 2614, 547, 5706, 5007, 3310, 1934, 616, 32461, 540, 513, 4484, 646, 2366, 538, 3210, 547, 513, 7662, 689, 24636, 25831, 540, 31564, 585, 4123, 22864, 269, 15875, 1143, 543, 519, 24349, 5114, 547, 22030, 630, 20139, 1143, 264, 616, 3844, 2609, 538, 519, 1686, 540, 2413, 19580, 267, 865, 1142, 540, 519, 8370, 1739, 2835, 616, 24568, 1198, 1765, 7290, 1559, 540, 22030, 267, 2436, 610, 711, 519, 10643, 3277, 547, 621, 4023, 23810, 476, 1960, 273, 267, 561, 26820, 476, 2735, 275, 267, 543, 838, 775, 476, 1960, 271, 616, 1851, 519, 1655, 269, 4457, 22030, 19580, 568, 835, 540, 519, 7887, 4182, 267, 538, 2474, 540, 2551, 538, 519, 607, 1014, 11782, 621, 729, 2808, 547, 581, 513, 968, 26862, 4182, 892, 2394, 519, 2034, 3368, 540, 519, 476, 1240, 555, 2540, 519, 24349, 1004, 5156, 741, 2528, 547, 581, 519, 1034, 9120, 540, 782, 519, 4529, 538, 519, 1158, 621, 729, 519, 812, 32627, 12081, 799, 729, 4371, 3743, 585, 3850, 513, 17254, 4842, 19580, 547, 581, 4547, 896, 269, 16797, 2626, 676, 519, 2673, 540, 519, 476, 5197, 271, 781, 543, 538, 519, 21987, 540, 519, 1566, 1756, 10617, 267, 930, 540, 519, 2360, 540, 22030, 593, 19580, 941, 281, 513, 1713, 6712, 540, 922, 2551, 4742, 29279, 547, 1566, 1756, 267, 4914, 22278, 10647, 796, 29970, 4123, 543, 9013, 2199, 11615, 267, 519, 10661, 540, 4914, 11700, 2314, 602, 1599, 539, 607, 5691, 10125, 543, 519, 17666, 540, 5449, 9993, 563, 23873, 22030, 538, 19580, 543, 15242, 4547, 1360, 1114, 6114, 267, 538, 851, 1317, 540, 519, 2470, 540, 22030, 538, 1142, 1747, 1247, 1312, 4525, 941, 7494, 6766, 676, 519, 21099, 267, 538, 15242, 519, 2197, 729, 5116, 896, 519, 1463, 4341, 540, 519, 15596, 269, 634, 21099, 616, 19782, 748, 9082, 23928, 538, 1858, 540, 4655, 267, 519, 21099, 12306, 538, 554, 784, 737, 784, 543, 3964, 16788, 543, 1055, 673, 856, 14006, 338, 693, 519, 1439, 540, 519, 1566, 340, 574, 10617, 1775, 1299, 13797, 267, 19580, 9896, 513, 476, 1911, 1032, 25755, 269, 15875, 1143, 568, 519, 28735, 540, 513, 21260, 2197, 676, 513, 6793, 2197, 585, 3236, 31564, 13856, 15242, 543, 19580, 538, 519, 4571, 476, 6642, 271, 338, 547, 519, 4098, 540, 519, 476, 736, 628, 2540, 269, 634, 1566, 1756, 2112, 538, 519, 4571, 268, 866, 628, 2540, 267, 19580, 543, 519, 24067, 2477, 941, 711, 593, 1434, 2474, 609, 835, 1776, 1813, 547, 2804, 7526, 19580, 1185, 2370, 1719, 538, 9467, 609, 24067, 7060, 1317, 621, 729, 1582, 1606, 11211, 543, 21570, 753, 941, 1152, 4847, 547, 4123, 538, 835, 24349, 2823, 267, 1368, 836, 345, 17924, 563, 1103, 476, 3422, 273, 267, 849, 6867, 577, 1007, 25647, 729, 24509, 539, 676, 967, 2158, 807, 632, 1249, 334, 10678, 6867, 577, 22030, 538, 607, 807, 21099, 538, 15242, 2823, 1872, 12956, 267, 18008, 267, 543, 21099, 6735, 538, 15242, 630, 8182, 271, 1700, 12293, 274, 264, 803, 25702, 1974, 29534, 267, 543, 678, 11701, 22030, 538, 476, 8146, 280, 267, 19580, 1336, 3294, 8165, 519, 1101, 1566, 1756, 2112, 609, 31564, 269, 589, 2013, 1353, 540, 21099, 22030, 538, 15242, 835, 540, 519, 1655, 2081, 547, 1451, 827, 22030, 568, 547, 13404, 593, 606, 538, 3829, 2013, 1353, 540, 513, 2197, 1354, 267, 1282, 267, 543, 1310, 621, 729, 32519, 713, 2636, 721, 547, 4983, 875, 22030, 4957, 513, 4182, 936, 942, 269, 634, 3119, 30254, 540, 21099, 22030, 538, 19580, 538, 519, 13524, 2540, 729, 2804, 972, 729, 513, 1164, 3747, 585, 24349, 7401, 267, 16536, 543, 28028, 538, 519, 21099, 2344, 2705, 267, 31564, 1705, 711, 4865, 6190, 8988, 547, 4123, 609, 519, 7117, 532, 10504, 269, 1215, 1705, 22030, 1764, 19580, 9337, 22599, 2626, 530, 5942, 476, 274, 4267, 28580, 714, 6062, 561, 340, 267, 25566, 693, 13793, 345, 17924, 630, 1001, 278, 1790, 6974, 264, 519, 24349, 4503, 519, 1101, 1566, 1756, 2112, 267, 543, 519, 21099, 1500, 19580, 2628, 585, 519, 1566, 1756, 789, 10032, 543, 18796, 602, 7262, 21471, 1058, 1205, 811, 2924, 538, 19580, 269, 7454, 2626, 281, 1775, 2161, 2025, 7911, 267, 519, 2360, 540, 22030, 593, 19580, 941, 593, 519, 2898, 1360, 2942, 1346, 602, 1118, 6811, 547, 519, 6587, 616, 9444, 5432, 609, 19580, 781, 1686, 267, 1566, 1756, 8213, 267, 6862, 540, 24349, 6561, 609, 519, 7005, 6159, 1324, 7401, 689, 19580, 267, 31564, 17388, 547, 2508, 922, 7401, 20558, 563, 23873, 22030, 538, 19580, 543, 21562, 519, 2126, 540, 519, 24349, 676, 519, 21099, 267, 1282, 519, 1491, 936, 540, 741, 2197, 267, 729, 1175, 899, 602, 540, 519, 12869, 753, 519, 21099, 3576, 936, 519, 2244, 543, 519, 2229, 267, 3576, 5413, 540, 519, 1004, 543, 23699, 873, 585, 741, 2200, 269, 1403, 519, 3105, 8226, 540, 19580, 729, 689, 513, 942, 950, 19580, 729, 513, 6408, 540, 7262, 22030, 267, 519, 1459, 3239, 5526, 547, 581, 1759, 593, 519, 13429, 602, 19580, 2901, 2907, 814, 610, 786, 1831, 606, 11440, 1379, 538, 21562, 269, 910, 1263, 1501, 281, 1813, 547, 21099, 3310, 538, 19580, 1282, 519, 2085, 540, 22030, 267, 519, 7005, 1893, 814, 7839, 972, 6044, 538, 7005, 568, 2838, 607, 513, 851, 540, 1857, 2069, 10123, 267, 519, 6532, 540, 554, 784, 737, 784, 267, 513, 2749, 31564, 19497, 11262, 267, 814, 7005, 607, 606, 4013, 1893, 269, 25511, 29539, 23372, 729, 8984, 540, 21099, 22030, 538, 19580, 519, 1566, 1756, 10617, 14045, 547, 1491, 27290, 3268, 547, 26193, 1566, 1756, 946, 267, 538, 476, 8146, 279, 267, 519, 7117, 532, 2229, 1476, 4593, 730, 476, 736, 267, 1822, 2665, 540, 269, 6271, 2427, 2360, 602, 729, 2014, 689, 22030, 729, 32574, 18326, 1379, 1004, 538, 19580, 4769, 1406, 899, 875, 24067, 941, 15194, 19580, 607, 513, 1267, 513, 4216, 518, 18326, 4473, 909, 543, 10692, 585, 19580, 779, 7115, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 5225, 2119, 1586, 2663, 269, 14579, 22030, 538, 19580, 729, 513, 2565, 2014, 540, 12316, 18941, 24067, 1719, 538, 7389, 1394, 547, 2261, 1723, 1135, 334, 267, 519, 9006, 564, 1014, 24413, 945, 6192, 1079, 30295, 547, 19580, 538, 519, 3735, 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 ]
[ 7399, 585, 7317, 1565, 267, 2564, 10124, 267, 543, 10531, 9913, 2833, 267, 891, 4066, 616, 4259, 513, 1007, 3044, 538, 875, 649, 2170, 609, 519, 3059, 543, 2168, 1158, 267, 9621, 513, 2104, 2407, 540, 3970, 1652, 543, 3078, 7399, 563, 273, 269, 11627, 725, 538, 14464, 11106, 543, 11576, 832, 10778, 25369, 11106, 630, 9590, 264, 568, 10776, 4506, 513, 4909, 6521, 538, 875, 14044, 18712, 630, 23623, 264, 543, 4119, 7757, 18712, 630, 2752, 264, 2170, 609, 3755, 269, 8729, 547, 3642, 267, 891, 5054, 616, 4742, 711, 1152, 21273, 855, 849, 811, 13261, 543, 17841, 563, 28723, 3642, 6620, 267, 676, 4393, 543, 7421, 5318, 14449, 540, 3593, 2623, 267, 616, 11319, 2123, 1436, 538, 15283, 543, 8121, 547, 13778, 2157, 269, 1452, 1949, 666, 1451, 689, 3593, 4205, 267, 15268, 543, 22212, 2833, 538, 1483, 6066, 269, 1280, 1383, 267, 538, 513, 15283, 3872, 1604, 267, 3642, 666, 4188, 519, 7411, 1377, 540, 513, 4305, 1759, 593, 519, 3593, 779, 3105, 2773, 267, 610, 538, 513, 5010, 4259, 267, 621, 666, 2303, 2472, 1759, 593, 7375, 3254, 1282, 3105, 4205, 563, 4002, 519, 824, 1688, 267, 7760, 538, 8596, 616, 30507, 519, 1259, 649, 2170, 609, 5691, 5054, 269, 634, 5767, 5108, 8596, 2709, 711, 1152, 811, 4977, 5163, 9477, 543, 1604, 7020, 855, 849, 1450, 585, 513, 811, 2067, 543, 5714, 5872, 609, 519, 5691, 1158, 269, 1452, 8596, 666, 3713, 11029, 5322, 267, 11132, 7215, 267, 543, 1256, 519, 4287, 540, 22401, 267, 7175, 3755, 547, 16022, 569, 1852, 519, 5691, 1604, 269, 901, 2702, 547, 7001, 543, 4431, 547, 513, 9962, 2039, 540, 1480, 11378, 5012, 547, 513, 1454, 21950, 543, 20310, 15138, 1995, 563, 11101, 267, 519, 4999, 540, 3642, 543, 8596, 568, 22338, 519, 1259, 585, 811, 16022, 543, 3015, 3593, 17103, 269, 1452, 7760, 4324, 711, 1152, 2834, 3755, 855, 849, 1118, 15283, 543, 8121, 811, 3015, 547, 1004, 609, 3309, 2168, 610, 10444, 5759, 267, 24339, 520, 1944, 1569, 547, 891, 4066, 563, 9590, 543, 8596, 616, 849, 6117, 10124, 538, 2127, 899, 3750, 13652, 9535, 543, 688, 10364, 5955, 267, 1818, 15283, 543, 8121, 2833, 811, 15138, 543, 28241, 269, 1280, 1383, 267, 3750, 13652, 9535, 2636, 519, 5691, 1604, 547, 4431, 547, 1141, 519, 3593, 568, 3168, 267, 1247, 688, 10364, 5955, 2488, 2168, 17915, 602, 1118, 5691, 4205, 1745, 1483, 563, 4089, 10390, 281, 769, 5758, 267, 10124, 538, 3642, 543, 8596, 616, 1200, 531, 3429, 513, 1007, 5736, 538, 15283, 543, 8121, 267, 1818, 891, 4066, 21273, 267, 811, 19535, 267, 543, 10531, 269, 1452, 7760, 711, 1152, 3986, 519, 2298, 543, 17779, 540, 5691, 2833, 855, 849, 1930, 909, 513, 1158, 540, 1007, 7399, 585, 5872, 543, 21599, 267, 13321, 875, 649, 1995, 543, 2170, 609, 519, 3059, 1158, 563, 274, 269, 20593, 10885, 540, 15283, 270, 2752, 609, 14164, 543, 3642, 10241, 10778, 763, 12760, 540, 14044, 18712, 630, 23623, 1070, 4119, 7757, 18712, 630, 2752, 1070, 543, 519, 5769, 540, 12085, 630, 31166, 1070, 4412, 8215, 676, 14464, 11106, 630, 9590, 1070, 568, 2870, 513, 12316, 954, 28947, 1063, 519, 3059, 543, 2168, 10600, 269, 901, 5348, 1458, 711, 1152, 21810, 938, 5872, 609, 5100, 3457, 855, 849, 21040, 519, 6302, 540, 1018, 779, 2009, 538, 2474, 540, 2825, 1852, 543, 3593, 1995, 23918, 563, 2690, 3236, 267, 538, 513, 5100, 1753, 267, 519, 5610, 540, 15283, 270, 2752, 609, 14164, 2636, 3755, 547, 16022, 569, 1852, 1753, 14233, 543, 1949, 1369, 513, 5691, 1604, 269, 1411, 666, 581, 27153, 538, 513, 5691, 1158, 1247, 14577, 519, 8279, 267, 8022, 267, 610, 1256, 5464, 519, 3354, 540, 707, 1483, 1753, 269, 3642, 4249, 513, 2629, 1909, 1934, 267, 16208, 3593, 12981, 543, 4180, 602, 3527, 3927, 14377, 883, 519, 2168, 1158, 563, 12234, 267, 8121, 5916, 609, 14164, 568, 3246, 23353, 1483, 6066, 13865, 2833, 269, 1280, 1383, 267, 950, 13156, 513, 3926, 998, 606, 8121, 813, 267, 3755, 666, 3489, 2143, 1344, 827, 922, 5106, 267, 1648, 4616, 267, 610, 1256, 5826, 10372, 267, 782, 3177, 676, 3642, 7421, 1483, 6066, 14164, 1239, 563, 1607, 19427, 568, 849, 6679, 1007, 18817, 538, 1648, 2359, 543, 1753, 12957, 269, 15283, 270, 2752, 1949, 267, 2059, 609, 14164, 8596, 543, 3642, 12642, 267, 666, 11126, 1648, 6165, 538, 519, 1753, 267, 8850, 14577, 8654, 543, 2837, 1759, 593, 3593, 4527, 543, 7375, 563, 1103, 519, 1870, 7706, 267, 713, 5610, 2636, 3549, 547, 20716, 6895, 543, 1852, 1950, 4853, 4238, 269, 20709, 666, 946, 8121, 547, 1205, 513, 1483, 6066, 2070, 540, 3684, 543, 1062, 2773, 267, 1247, 14164, 3457, 2445, 543, 10141, 2565, 1239, 602, 3642, 666, 5659, 547, 2087, 4398, 543, 3589, 5826, 563, 6962, 281, 769, 3932, 267, 519, 19427, 540, 15283, 270, 2752, 609, 14164, 543, 3642, 3156, 568, 22338, 519, 1259, 547, 513, 2104, 1141, 519, 1899, 1063, 3059, 543, 2168, 5051, 1025, 2720, 269, 901, 5610, 711, 1152, 3091, 1713, 9283, 538, 1753, 4313, 543, 1852, 540, 1870, 4238, 855, 849, 14767, 547, 32753, 2981, 938, 3232, 4205, 267, 3246, 21950, 267, 10531, 267, 543, 3608, 2833, 2066, 513, 3099, 540, 8658, 563, 275, 269, 26306, 540, 4518, 543, 22647, 21664, 609, 15283, 267, 8121, 267, 543, 3642, 912, 29919, 18712, 630, 23623, 1070, 4119, 7757, 18712, 630, 2752, 1070, 543, 14464, 11106, 630, 9590, 264, 616, 28196, 1456, 519, 960, 5251, 267, 2523, 538, 2474, 540, 6552, 5698, 269, 1452, 4066, 616, 711, 1152, 14874, 2168, 7687, 855, 849, 23429, 519, 1259, 649, 2170, 543, 12840, 538, 5691, 5054, 563, 2690, 3236, 267, 476, 274, 291, 5691, 11401, 723, 10489, 2105, 519, 2757, 1523, 540, 2756, 27019, 325, 3720, 269, 5502, 540, 8806, 7487, 8188, 593, 513, 5496, 267, 5171, 666, 2170, 538, 513, 3838, 1614, 8820, 2230, 269, 901, 568, 3226, 12316, 585, 11451, 7856, 6887, 267, 607, 621, 2488, 513, 2631, 540, 4527, 543, 5698, 602, 729, 5892, 1152, 2009, 538, 2168, 11401, 269, 769, 4610, 971, 607, 6189, 543, 1587, 1374, 267, 713, 2636, 6887, 547, 13861, 3631, 543, 5691, 30384, 538, 1483, 942, 267, 607, 952, 789, 941, 2324, 1927, 538, 519, 1482, 4055, 563, 9590, 568, 4730, 513, 13710, 1909, 538, 891, 5698, 5867, 267, 14123, 3388, 689, 4305, 12957, 547, 1483, 6066, 1239, 2079, 269, 1280, 1383, 267, 1282, 513, 960, 8400, 267, 3642, 666, 1683, 5691, 6351, 267, 971, 607, 1374, 10372, 1759, 593, 3105, 3466, 610, 20979, 7840, 1759, 593, 519, 2079, 540, 1804, 1239, 5036, 563, 13010, 267, 3642, 666, 7520, 1788, 543, 4305, 2359, 538, 891, 5691, 5054, 267, 4543, 547, 10891, 20104, 267, 21138, 2200, 267, 543, 3950, 1788, 3356, 269, 901, 18922, 883, 513, 1713, 6454, 538, 4398, 543, 7607, 563, 763, 5610, 540, 8121, 883, 519, 9036, 568, 849, 4657, 519, 1259, 649, 2170, 609, 519, 2168, 1604, 269, 1280, 3236, 267, 4600, 693, 513, 4070, 3135, 666, 946, 8121, 14296, 547, 2070, 6772, 904, 540, 11265, 6272, 610, 547, 2697, 1761, 7293, 2042, 267, 7551, 7393, 6111, 543, 3106, 563, 6962, 281, 769, 5758, 267, 15283, 267, 8121, 267, 543, 3642, 616, 32753, 13321, 519, 1158, 540, 960, 543, 6552, 5698, 269, 1452, 4066, 616, 6679, 909, 1007, 7516, 540, 5872, 267, 7175, 21950, 543, 811, 2500, 21769, 267, 543, 3246, 4359, 2645, 585, 513, 2647, 2039, 540, 3318, 3156, 269, 1306, 891, 4066, 3136, 547, 11457, 267, 649, 666, 2503, 547, 1294, 811, 10124, 602, 786, 2417, 1689, 875, 649, 960, 543, 12840, 538, 519, 2282, 2104, 563, 276, 269, 19078, 19047, 543, 12694, 538, 23889, 15283, 267, 8121, 267, 543, 3642, 912, 2026, 14044, 18712, 630, 23623, 1070, 4119, 7757, 18712, 630, 2752, 1070, 543, 14464, 11106, 630, 9590, 264, 1831, 811, 7471, 883, 938, 3232, 2729, 267, 5683, 2591, 543, 7834, 4145, 616, 14556, 4328, 269, 1452, 4066, 267, 676, 10655, 2143, 1239, 1519, 1979, 6248, 543, 8965, 1344, 267, 1930, 1713, 9840, 593, 3593, 7834, 543, 9844, 563, 7468, 643, 2329, 543, 3117, 550, 281, 4578, 4015, 538, 15283, 543, 8121, 5054, 267, 2523, 950, 5916, 609, 519, 10763, 7207, 540, 3642, 267, 666, 2709, 7184, 2123, 4030, 883, 3755, 269, 3245, 741, 7375, 543, 5615, 547, 741, 3929, 543, 2168, 6547, 267, 891, 4066, 723, 519, 1761, 547, 917, 3755, 1732, 982, 789, 917, 2933, 269, 901, 12651, 2565, 2055, 827, 945, 814, 1569, 547, 891, 1239, 267, 875, 789, 616, 1031, 267, 543, 875, 789, 616, 6870, 269, 898, 568, 1898, 547, 2327, 602, 3755, 723, 1852, 936, 741, 1239, 543, 602, 2312, 543, 5483, 9844, 568, 5833, 585, 922, 946, 563, 25842, 593, 10076, 2657, 543, 4317, 4270, 5630, 281, 1160, 14075, 539, 946, 540, 15283, 543, 8121, 849, 12651, 2055, 827, 922, 1764, 593, 2790, 1072, 543, 1514, 1134, 5630, 269, 4400, 569, 15138, 2833, 666, 1860, 711, 1152, 875, 649, 13498, 4641, 855, 849, 875, 649, 2170, 609, 1866, 269, 1703, 568, 6161, 602, 14021, 946, 540, 891, 5054, 1223, 1291, 547, 771, 28947, 689, 519, 1483, 1158, 267, 7133, 1514, 3347, 543, 3929, 1134, 5630, 269, 4475, 267, 621, 568, 2629, 547, 2932, 2143, 1382, 593, 891, 3344, 543, 1020, 5683, 4808, 547, 2327, 513, 2635, 3666, 1063, 519, 5691, 543, 2168, 10600, 563, 8802, 2827, 543, 11621, 281, 634, 4028, 4720, 540, 15283, 267, 8121, 267, 543, 3642, 3340, 519, 1646, 540, 6042, 543, 4441, 602, 666, 1832, 10605, 609, 6639, 8441, 269, 901, 2882, 4031, 12044, 1239, 7834, 267, 5683, 946, 540, 3642, 267, 543, 4441, 585, 1543, 5137, 538, 5691, 5054, 269, 1452, 6042, 1590, 581, 2966, 547, 2149, 3593, 2924, 543, 3895, 3743, 946, 540, 2029, 1247, 5807, 5647, 543, 1646, 563, 6962, 281, 769, 5758, 267, 1247, 519, 5610, 540, 15283, 267, 8121, 267, 543, 3642, 10741, 513, 1158, 540, 7399, 267, 621, 849, 6770, 1713, 9021, 269, 898, 568, 16122, 547, 2232, 5683, 543, 7834, 4145, 609, 513, 6297, 543, 15826, 1935, 269, 901, 2882, 4180, 3593, 7834, 543, 9844, 267, 7863, 2790, 1072, 543, 1514, 1134, 5630, 267, 543, 3384, 513, 4396, 9431, 5943, 269, 8307, 538, 713, 1259, 666, 649, 2327, 602, 519, 13120, 540, 891, 4066, 568, 6225, 543, 4264, 585, 782, 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 ]
[ 0, 2791, 723, 1100, 3688, 538, 707, 10918, 7047, 563, 294, 1231, 1263, 568, 519, 4457, 2262, 585, 3597, 543, 674, 16307, 2890, 8364, 11985, 717, 1231, 1263, 568, 19918, 30753, 676, 922, 2178, 267, 5394, 267, 6534, 3597, 1062, 602, 5654, 811, 899, 513, 3529, 17657, 982, 5072, 269, 1452, 19666, 3597, 1949, 1491, 1296, 547, 1332, 267, 855, 936, 942, 789, 1020, 4241, 267, 2215, 867, 658, 5546, 269, 634, 3762, 616, 1507, 267, 4158, 3039, 543, 24814, 11057, 269, 674, 16307, 2890, 8364, 11985, 814, 1082, 1455, 4408, 1519, 8000, 5617, 569, 8431, 267, 19846, 331, 8431, 267, 19846, 331, 11676, 828, 267, 4354, 1555, 8431, 543, 5899, 836, 1782, 8431, 269, 0, 300, 1737, 578, 3650, 1053, 1491, 519, 589, 304, 288, 11061, 1576, 269, 1411, 786, 1353, 5214, 267, 22803, 543, 2168, 7998, 269, 901, 2882, 912, 1892, 4860, 2358, 543, 3168, 811, 7184, 693, 8444, 543, 9211, 454, 1892, 1306, 6362, 1946, 3114, 6547, 4755, 543, 875, 649, 1852, 873, 454, 1892, 2859, 827, 519, 13350, 3349, 543, 875, 1114, 6878, 13789, 454, 1892, 4197, 519, 6547, 540, 1082, 1114, 5214, 7135, 543, 875, 4010, 789, 2746, 454, 763, 5934, 7127, 4170, 616, 1079, 3446, 476, 277, 338, 538, 23722, 9443, 269, 901, 1223, 581, 538, 5094, 9443, 267, 610, 5916, 2257, 269, 1411, 786, 849, 991, 693, 2547, 513, 476, 276, 538, 13174, 563, 1692, 1454, 13004, 568, 972, 888, 2791, 798, 711, 991, 547, 581, 3257, 589, 1377, 13004, 269, 1717, 267, 972, 568, 811, 13004, 1543, 538, 1699, 589, 1377, 7998, 982, 538, 3105, 6030, 267, 543, 1434, 23722, 13004, 1983, 616, 1271, 1107, 649, 4363, 476, 277, 3446, 610, 1657, 563, 290, 13511, 568, 4440, 519, 1034, 1271, 2257, 256, 898, 6402, 1927, 1082, 1114, 2127, 540, 2257, 543, 568, 4061, 1360, 3810, 12595, 676, 9945, 269, 4107, 9945, 31274, 602, 23078, 547, 4915, 610, 18915, 2257, 723, 3144, 7998, 269, 15775, 589, 1377, 7998, 2982, 602, 596, 616, 10995, 267, 9266, 267, 4052, 543, 19511, 269, 4634, 952, 596, 1810, 1406, 1439, 909, 607, 513, 10196, 267, 519, 1983, 596, 1020, 786, 581, 4143, 547, 513, 2647, 2039, 540, 11678, 543, 6030, 269, 0, 17472, 5085, 918, 5058, 267, 32764, 4306, 912, 7712, 6723, 4469, 20477, 729, 7166, 676, 513, 3687, 928, 24550, 7128, 11464, 267, 1082, 4892, 723, 1572, 585, 513, 10565, 556, 628, 9722, 540, 2384, 532, 538, 713, 2197, 269, 1703, 723, 1044, 930, 31278, 2242, 936, 519, 1296, 269, 10610, 12514, 616, 1631, 1455, 269, 3509, 7128, 946, 741, 32205, 2484, 1447, 1419, 982, 789, 1705, 1256, 476, 1015, 1296, 3516, 563, 3719, 519, 9937, 540, 5215, 540, 1004, 13889, 532, 538, 519, 10754, 543, 519, 1920, 2818, 540, 1346, 7166, 610, 24407, 569, 18486, 2161, 621, 781, 1175, 1932, 3500, 269, 4563, 543, 6960, 1004, 616, 1869, 1373, 7166, 267, 3771, 21724, 543, 26884, 676, 519, 7128, 269, 1924, 1018, 1131, 513, 7004, 540, 2384, 532, 1413, 899, 286, 1284, 4280, 1614, 715, 11266, 5330, 757, 547, 1413, 693, 1806, 540, 15024, 602, 723, 1044, 6836, 543, 602, 1397, 9153, 269, 9410, 918, 4292, 267, 18238, 654, 6856, 15414, 543, 22216, 2643, 4856, 2917, 616, 609, 803, 1631, 563, 2207, 2975, 654, 2464, 9898, 27111, 307, 267, 15760, 299, 12114, 281, 6153, 6640, 563, 6224, 28475, 299, 2910, 305, 4041, 312, 267, 15760, 299, 12114, 281, 19743, 563, 300, 2752, 2316, 301, 918, 3008, 15288, 267, 15760, 299, 12114, 281, 27450, 563, 32578, 281, 22216, 2643, 267, 1577, 781, 1376, 609, 596, 269, 2290, 4661, 602, 649, 5873, 538, 930, 4872, 568, 713, 910, 7128, 1058, 3247, 1818, 10654, 338, 267, 543, 3079, 789, 1058, 3390, 14327, 585, 1970, 7400, 1055, 5151, 269, 11512, 1141, 602, 13352, 883, 519, 3350, 585, 6963, 563, 290, 3036, 4041, 312, 281, 4270, 267, 621, 781, 2731, 2966, 538, 851, 547, 2569, 930, 540, 519, 10795, 4205, 649, 4312, 2938, 1063, 7128, 543, 1004, 269, 1656, 519, 6723, 4469, 20477, 2013, 568, 513, 6305, 1383, 269, 898, 781, 849, 606, 4674, 547, 1832, 1004, 856, 540, 21569, 543, 2348, 547, 2097, 909, 609, 2724, 585, 32548, 269, 1924, 3079, 540, 606, 10654, 267, 7128, 786, 1688, 856, 713, 11239, 269, 898, 781, 2147, 547, 3478, 513, 6808, 19044, 267, 1141, 513, 1268, 2901, 17188, 513, 5386, 610, 814, 547, 1397, 909, 538, 5480, 693, 513, 2663, 4266, 563, 5472, 2829, 2965, 723, 4031, 538, 1747, 602, 1450, 14327, 547, 581, 9783, 585, 3765, 12047, 6756, 832, 910, 513, 19625, 1256, 585, 930, 21688, 23888, 269, 1809, 621, 781, 2731, 513, 6404, 9126, 540, 875, 1419, 602, 2259, 568, 1031, 269, 2334, 781, 1044, 4657, 267, 1498, 269, 23883, 1282, 519, 11452, 6855, 267, 513, 1297, 540, 4872, 723, 24016, 7128, 547, 1175, 1900, 1394, 267, 2285, 1004, 14327, 3079, 540, 1818, 606, 10654, 269, 1656, 602, 781, 782, 538, 519, 4674, 547, 2759, 1524, 593, 519, 22125, 2175, 538, 795, 5661, 543, 547, 2061, 5046, 268, 866, 689, 10825, 563, 1607, 2856, 267, 1498, 267, 814, 1044, 593, 519, 4473, 1354, 519, 6855, 267, 1256, 538, 4130, 2950, 543, 538, 6917, 2127, 1141, 21569, 5095, 723, 838, 27419, 269, 14355, 6019, 538, 3345, 10491, 568, 835, 1383, 269, 898, 781, 827, 606, 5662, 3544, 540, 681, 1446, 662, 269, 1656, 594, 14437, 609, 667, 11921, 2349, 698, 17311, 269, 2701, 781, 606, 18607, 543, 519, 10324, 8689, 540, 513, 1788, 693, 519, 10491, 10456, 8889, 4741, 269, 2701, 3081, 14355, 7128, 723, 1185, 519, 24787, 547, 3390, 14327, 269, 1809, 1200, 1895, 267, 2059, 609, 1866, 267, 1519, 519, 2199, 19364, 3722, 303, 267, 723, 5249, 609, 519, 7128, 8257, 547, 1118, 621, 513, 811, 6405, 543, 1031, 3609, 269, 1924, 621, 781, 1044, 538, 1198, 585, 827, 513, 1032, 267, 543, 2349, 698, 17311, 3081, 621, 781, 2731, 1932, 2038, 547, 2995, 1018, 519, 1764, 568, 538, 1808, 2338, 563, 6395, 310, 301, 645, 6369, 294, 4629, 12717, 281, 1809, 1018, 649, 798, 917, 568, 602, 519, 1004, 540, 14355, 1745, 602, 2094, 713, 3609, 1689, 814, 1044, 17947, 267, 602, 789, 616, 3384, 543, 616, 4743, 513, 1732, 2078, 609, 1876, 11268, 563, 290, 3036, 4041, 312, 281, 1656, 513, 2603, 540, 713, 1689, 267, 3143, 601, 267, 3323, 538, 476, 1001, 275, 538, 519, 21987, 540, 782, 519, 19727, 602, 3357, 609, 1776, 13249, 543, 14603, 7237, 269, 2334, 781, 950, 7128, 11464, 267, 11023, 1066, 14355, 267, 8929, 476, 1240, 4458, 6040, 7812, 9466, 547, 2669, 538, 674, 31867, 517, 267, 7720, 563, 32578, 281, 2986, 1576, 269, 6271, 4062, 540, 2009, 2384, 532, 7004, 1223, 4125, 519, 1259, 602, 7128, 4308, 609, 15508, 2192, 1004, 269, 1284, 917, 602, 1472, 476, 272, 538, 476, 275, 1004, 3170, 958, 8929, 676, 7128, 616, 10010, 609, 930, 4990, 540, 2790, 1072, 3390, 269, 18238, 267, 594, 917, 602, 596, 4312, 1044, 3168, 883, 602, 4062, 540, 6963, 269, 1548, 1705, 596, 1265, 856, 888, 310, 2464, 9898, 27111, 307, 281, 4270, 267, 594, 1336, 602, 513, 1507, 855, 3395, 1297, 540, 4872, 267, 3143, 601, 267, 616, 2870, 513, 1007, 2203, 910, 2186, 540, 513, 1007, 7121, 540, 1101, 4431, 518, 1572, 513, 2790, 1072, 610, 513, 8965, 1072, 1101, 4431, 518, 269, 3767, 267, 6266, 540, 7128, 13623, 936, 519, 1296, 723, 1305, 909, 891, 4990, 540, 6433, 6304, 6887, 1141, 606, 11464, 4991, 930, 3063, 2866, 269, 1809, 713, 568, 2731, 1114, 269, 901, 2203, 3217, 519, 7128, 856, 540, 519, 3830, 267, 856, 540, 519, 1289, 585, 3028, 267, 4849, 538, 1360, 4686, 3871, 563, 290, 885, 616, 4358, 547, 21613, 513, 1982, 10660, 1229, 476, 1789, 1296, 3516, 538, 26290, 2940, 267, 20957, 269, 898, 781, 1572, 519, 19822, 26859, 29955, 4934, 2201, 634, 6790, 1115, 267, 610, 11404, 9816, 302, 4811, 269, 901, 568, 513, 19742, 2319, 269, 898, 781, 513, 14468, 3053, 543, 513, 8036, 6433, 11832, 269, 1411, 917, 267, 594, 14437, 609, 7033, 4563, 267, 519, 1982, 781, 4238, 4717, 13541, 269, 1261, 5143, 803, 267, 596, 917, 267, 2319, 2818, 1205, 3573, 2866, 543, 2361, 1995, 593, 2731, 910, 593, 875, 547, 632, 268, 525, 5632, 622, 543, 2119, 547, 1205, 891, 1004, 883, 2146, 2861, 2126, 267, 711, 21569, 563, 2316, 300, 19154, 19272, 281, 1677, 3035, 602, 267, 596, 917, 267, 649, 2119, 547, 946, 1913, 269, 1411, 917, 267, 649, 1810, 1405, 4163, 14723, 10936, 269, 1284, 1810, 1405, 4163, 513, 512, 6471, 610, 4376, 899, 602, 269, 1411, 917, 267, 649, 1175, 2911, 547, 12563, 269, 1284, 6069, 606, 4316, 547, 723, 835, 1447, 7128, 3346, 1175, 1317, 602, 1268, 729, 2348, 513, 3983, 1554, 563, 32578, 281, 1924, 713, 568, 21127, 14775, 547, 7125, 269, 1684, 7128, 1489, 602, 888, 310, 2464, 9898, 27111, 307, 281, 1358, 798, 1317, 621, 17212, 1407, 873, 267, 543, 621, 781, 1942, 15807, 269, 594, 1611, 267, 593, 513, 6578, 540, 1175, 936, 1269, 273, 2929, 267, 713, 19742, 2319, 3217, 930, 476, 736, 260, 540, 26290, 2940, 781, 476, 26605, 7125, 269, 1924, 621, 781, 9494, 2724, 269, 898, 781, 9494, 7128, 812, 12741, 269, 1656, 849, 267, 3143, 601, 267, 713, 568, 1883, 910, 891, 1875, 1790, 565, 823, 7459, 616, 5329, 1004, 856, 540, 6595, 11623, 543, 856, 540, 10315, 795, 5661, 269, 2334, 781, 513, 5458, 9806, 269, 1656, 3314, 267, 795, 5661, 723, 1831, 632, 1249, 334, 3013, 781, 7887, 2790, 1072, 6703, 563, 32578, 281, 9410, 267, 594, 1616, 547, 2307, 596, 827, 835, 540, 519, 2462, 2152, 267, 799, 568, 7128, 12477, 269, 1411, 917, 267, 693, 713, 1448, 267, 594, 1589, 649, 1174, 602, 1082, 4892, 3494, 11464, 13817, 2265, 786, 3251, 5728, 513, 2603, 540, 519, 942, 610, 621, 568, 11567, 676, 7128, 945, 616, 12691, 547, 1616, 547, 2490, 741, 9164, 538, 269, 1548, 781, 1044, 4657, 538, 519, 2250, 7008, 540, 1296, 593, 12477, 267, 952, 4376, 888, 298, 3008, 15288, 281, 4270, 267, 713, 2898, 1888, 540, 21127, 262, 1909, 538, 782, 540, 713, 267, 538, 23388, 607, 1134, 607, 13753, 267, 814, 1044, 1360, 1543, 1190, 2094, 519, 1412, 2568, 338, 269, 634, 6299, 267, 1498, 267, 814, 2141, 1044, 713, 910, 7128, 10492, 262, 4250, 540, 1373, 24565, 676, 21127, 945, 949, 711, 2731, 1174, 2384, 532, 267, 875, 621, 1568, 610, 602, 789, 1522, 581, 20833, 12592, 538, 519, 19742, 4604, 610, 789, 1522, 979, 2059, 609, 1018, 519, 15624, 14659, 1310, 7487, 513, 10194, 3381, 543, 711, 2285, 519, 11464, 513, 4023, 21199, 563, 3383, 594, 14437, 547, 9400, 14472, 5460, 531, 827, 713, 269, 1261, 781, 1044, 3238, 538, 891, 23388, 1949, 585, 5756, 538, 513, 3099, 540, 4872, 269, 1656, 646, 3081, 891, 1949, 798, 723, 547, 1491, 1346, 12194, 540, 519, 10492, 883, 2272, 563, 30278, 295, 19181, 681, 5308, 7728, 295, 3201, 281, 1809, 693, 519, 1482, 942, 267, 621, 781, 1360, 1271, 585, 519, 7128, 547, 1174, 910, 543, 594, 910, 607, 594, 1031, 547, 2161, 538, 28631, 267, 950, 594, 723, 513, 7128, 11464, 2161, 267, 596, 917, 267, 596, 1810, 1405, 723, 513, 1318, 547, 9794, 803, 267, 543, 267, 596, 917, 267, 19742, 23388, 568, 711, 2556, 610, 3617, 267, 519, 2626, 568, 267, 1134, 267, 1287, 596, 2811, 538, 519, 4636, 1870, 563, 32578, 281, 4270, 267, 875, 7839, 568, 19742, 23388, 538, 713, 2197, 1631, 286, 1656, 798, 649, 917, 602, 621, 1568, 888, 298, 3008, 15288, 281, 4270, 267, 1472, 519, 942, 540, 674, 31867, 517, 267, 519, 3084, 7681, 540, 891, 9988, 18886, 827, 476, 1220, 2818, 269, 1656, 1631, 267, 3670, 267, 5722, 1296, 2663, 267, 621, 781, 1869, 827, 476, 1220, 269, 1924, 519, 1297, 18387, 1405, 2731, 4957, 602, 1454, 269, 1548, 781, 3020, 568, 602, 930, 4872, 602, 616, 896, 2604, 910, 4025, 899, 22208, 910, 723, 1500, 7634, 1949, 811, 4830, 267, 811, 3318, 267, 543, 789, 4312, 2799, 21127, 262, 1909, 563, 3719, 14472, 5460, 531, 2731, 5433, 602, 1310, 674, 31867, 517, 267, 646, 9364, 1294, 811, 1719, 538, 5963, 4830, 19742, 24507, 7634, 8041, 269, 1656, 646, 729, 14281, 950, 602, 4769, 1405, 4755, 269, 1261, 14659, 602, 267, 596, 917, 267, 513, 2603, 540, 4872, 543, 7128, 13623, 2186, 540, 1175, 31372, 1919, 856, 269, 1656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 4061, 267, 24865, 689, 519, 3803, 3942, 540, 3618, 5250, 267, 6466, 544, 8432, 321, 6577, 636, 689, 519, 3105, 5123, 568, 7357, 538, 519, 13540, 2223, 1767, 19236, 10196, 2441, 2684, 8738, 330, 14551, 339, 563, 763, 1007, 1353, 267, 3370, 538, 7186, 12139, 713, 3018, 267, 2982, 602, 1804, 5666, 540, 1216, 723, 8452, 1310, 519, 3618, 8678, 269, 634, 4589, 540, 519, 1353, 1397, 602, 1454, 540, 519, 1216, 11656, 1570, 13859, 676, 634, 807, 267, 513, 9370, 13355, 4541, 267, 3744, 14353, 602, 1472, 476, 275, 267, 6110, 267, 1822, 267, 1822, 1296, 3516, 519, 3047, 779, 2212, 1185, 18493, 730, 267, 865, 1454, 3047, 543, 3361, 519, 5250, 540, 519, 7599, 563, 2108, 5978, 1239, 2982, 602, 3047, 1705, 711, 3489, 513, 3327, 1560, 2394, 519, 1439, 540, 922, 2208, 1686, 267, 5310, 998, 519, 2360, 602, 1118, 909, 519, 7599, 2223, 519, 3744, 5206, 269, 634, 8488, 538, 519, 6765, 540, 3327, 2326, 568, 2693, 547, 581, 519, 1267, 540, 20771, 16132, 540, 519, 9649, 3154, 1544, 543, 2982, 602, 519, 3618, 779, 13567, 568, 5702, 1644, 547, 922, 1360, 3735, 3942, 540, 2208, 269, 0, 4002, 5147, 476, 272, 267, 476, 1001, 280, 267, 1082, 1004, 2066, 4516, 10356, 547, 8661, 519, 476, 13923, 526, 4516, 4303, 269, 2755, 1082, 1134, 8153, 7087, 20859, 267, 19174, 267, 543, 1514, 2923, 13915, 6170, 519, 1554, 632, 24554, 532, 519, 968, 31917, 4516, 4303, 892, 20261, 540, 519, 2229, 540, 4516, 282, 1906, 3544, 7087, 10580, 17328, 4310, 547, 2992, 593, 1018, 621, 1797, 547, 2161, 968, 31917, 4516, 4303, 892, 538, 476, 1001, 280, 269, 5457, 267, 713, 568, 519, 1482, 1032, 519, 2817, 769, 11431, 883, 31932, 543, 631, 6324, 1229, 7087, 6468, 543, 21989, 15034, 4516, 540, 2502, 538, 606, 5571, 21393, 1996, 7087, 1004, 563, 17606, 568, 942, 547, 1289, 621, 607, 621, 568, 281, 4516, 779, 2250, 543, 1699, 7810, 4507, 267, 3527, 543, 538, 13905, 2509, 7087, 24447, 568, 21393, 269, 1656, 21393, 267, 607, 829, 1876, 11006, 593, 4516, 267, 7569, 12477, 269, 634, 2817, 769, 11431, 13922, 602, 922, 3656, 2079, 543, 4681, 786, 3565, 547, 519, 2556, 4901, 593, 21393, 538, 4516, 543, 9594, 2417, 1382, 593, 713, 18572, 540, 7810, 5208, 267, 799, 568, 513, 4909, 3597, 2014, 540, 519, 5208, 4810, 676, 7087, 2021, 267, 6690, 267, 543, 476, 273, 20784, 294, 6630, 304, 304, 8656, 1004, 1496, 10521, 4149, 2869, 527, 267, 15776, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 6581, 518, 267, 7726, 532, 267, 3955, 16303, 543, 589, 25757, 316, 3034, 268, 968, 288, 13751, 5811, 540, 2637, 17462, 892, 4675, 11915, 7797, 540, 519, 2817, 769, 11431, 883, 31932, 543, 631, 6324, 1229, 7087, 6468, 543, 21989, 454, 763, 2817, 769, 11431, 883, 31932, 543, 631, 6324, 1229, 7087, 6468, 543, 21989, 630, 301, 8379, 11085, 310, 294, 264, 5950, 922, 3803, 1867, 267, 968, 3725, 8010, 532, 5295, 543, 9255, 892, 593, 4873, 476, 274, 267, 476, 1001, 280, 267, 2059, 609, 1896, 824, 6054, 1519, 1079, 24045, 5359, 267, 513, 1101, 593, 20563, 543, 513, 2034, 609, 513, 3656, 2079, 540, 21393, 269, 4746, 3769, 729, 513, 5094, 3561, 1519, 741, 968, 290, 8712, 585, 10456, 892, 799, 568, 513, 1592, 540, 7569, 538, 1931, 547, 2253, 547, 2232, 519, 2152, 693, 7196, 585, 7087, 2021, 267, 6690, 267, 543, 476, 273, 20784, 294, 6630, 304, 304, 8656, 1004, 609, 519, 3804, 540, 2679, 2509, 1483, 1689, 563, 4407, 972, 616, 1082, 6404, 4606, 827, 519, 1184, 540, 519, 14374, 267, 519, 15415, 540, 519, 14374, 267, 543, 519, 3908, 9165, 540, 519, 14374, 1107, 1018, 814, 10356, 519, 3007, 540, 519, 13416, 2923, 568, 711, 519, 2984, 540, 519, 7366, 7087, 2021, 543, 6690, 602, 723, 1044, 23689, 610, 8854, 7508, 538, 4516, 269, 7439, 267, 621, 568, 519, 1249, 602, 2221, 538, 4516, 7087, 2021, 616, 3670, 2053, 811, 2693, 547, 581, 23689, 982, 1875, 268, 29378, 2021, 630, 32417, 4516, 1040, 5502, 267, 4922, 9113, 4624, 536, 28123, 12251, 3377, 19093, 2066, 519, 2197, 941, 9991, 936, 2933, 547, 1820, 21107, 4773, 827, 875, 968, 2102, 17462, 892, 568, 519, 4636, 2165, 547, 946, 1996, 2413, 6377, 4516, 1107, 538, 1198, 12394, 547, 15739, 9016, 519, 3084, 14374, 779, 960, 563, 1432, 568, 2637, 17462, 888, 18197, 8315, 9502, 689, 968, 1492, 13482, 593, 519, 10644, 543, 15722, 7321, 540, 519, 17235, 540, 2637, 17462, 9137, 4083, 892, 2829, 912, 1103, 519, 1459, 13482, 267, 21393, 1797, 1022, 540, 519, 1739, 6411, 8149, 609, 8247, 547, 6861, 267, 538, 2898, 610, 538, 851, 267, 513, 3084, 267, 17801, 673, 267, 7292, 610, 3909, 1895, 267, 607, 971, 912, 320, 264, 918, 3739, 2818, 540, 519, 1895, 3248, 321, 264, 6970, 6748, 3978, 15629, 610, 2790, 2800, 547, 2818, 540, 519, 1895, 3248, 322, 264, 5548, 9200, 2299, 1102, 997, 1154, 593, 519, 1895, 2175, 540, 1272, 7229, 547, 3142, 827, 922, 2168, 9552, 538, 2898, 610, 538, 851, 3248, 323, 264, 1955, 19397, 3800, 5497, 547, 2061, 24570, 1369, 519, 1895, 3248, 324, 264, 1280, 322, 4601, 22151, 1453, 540, 519, 1895, 547, 1776, 1895, 563, 28899, 1715, 4944, 3639, 2066, 4516, 3895, 21393, 1673, 523, 658, 454, 19350, 616, 519, 10643, 540, 519, 4930, 3370, 538, 519, 2012, 540, 519, 2407, 21107, 12545, 540, 891, 3084, 14786, 912, 1892, 634, 32527, 520, 3019, 10060, 4942, 14535, 1460, 1299, 3204, 2088, 26064, 6261, 739, 32000, 4425, 1841, 281, 968, 18850, 3555, 2417, 31081, 2293, 9601, 892, 630, 18907, 476, 278, 267, 476, 1001, 280, 264, 2878, 8967, 334, 8814, 1325, 1068, 281, 634, 946, 540, 519, 2262, 968, 2102, 17462, 892, 568, 519, 865, 10777, 2048, 23251, 3555, 20371, 1892, 17842, 10060, 32000, 8274, 281, 968, 2171, 991, 513, 1007, 2262, 281, 2048, 2102, 17462, 685, 3884, 1406, 621, 892, 630, 18907, 476, 277, 267, 476, 1001, 280, 994, 1892, 31248, 1299, 25357, 32000, 8274, 281, 968, 3674, 4516, 22867, 21393, 286, 2334, 3085, 1406, 1039, 909, 892, 630, 18907, 476, 277, 267, 476, 1001, 280, 994, 14085, 540, 891, 4930, 1353, 519, 4214, 540, 8225, 1876, 269, 634, 17842, 10060, 2376, 22939, 519, 2898, 4062, 11432, 1359, 1018, 789, 632, 655, 2048, 514, 1260, 1706, 762, 685, 1024, 665, 1938, 543, 12134, 267, 968, 3674, 602, 513, 8630, 649, 1616, 547, 6443, 286, 4107, 11932, 267, 723, 649, 2219, 998, 519, 6286, 9495, 1403, 519, 2229, 540, 4516, 779, 3527, 630, 663, 538, 9146, 264, 3514, 519, 4214, 540, 1018, 21393, 568, 267, 1058, 4516, 1205, 547, 8917, 593, 2436, 621, 779, 16944, 286, 4208, 616, 519, 2048, 574, 4124, 685, 519, 1034, 1271, 286, 901, 21107, 814, 1100, 8103, 267, 621, 4992, 899, 513, 4604, 540, 19971, 12922, 540, 3478, 647, 539, 543, 3843, 547, 2149, 2933, 609, 6013, 543, 513, 943, 3415, 1857, 1894, 5859, 2864, 982, 4308, 609, 519, 2048, 574, 4124, 685, 540, 4516, 779, 10963, 563, 2691, 519, 17842, 10060, 6368, 19528, 519, 18368, 7608, 3656, 4214, 540, 21393, 689, 519, 2136, 8315, 25943, 267, 789, 1118, 621, 2312, 789, 2760, 2965, 536, 6139, 1042, 547, 1224, 621, 269, 634, 10060, 15769, 2328, 267, 968, 3719, 814, 4516, 2965, 1044, 856, 547, 968, 323, 652, 5797, 892, 7087, 9082, 267, 607, 519, 6167, 4214, 540, 21393, 3081, 286, 634, 14374, 13187, 602, 1058, 1331, 711, 1175, 2168, 9552, 267, 855, 968, 1492, 9552, 540, 513, 1895, 607, 513, 1514, 1770, 892, 609, 513, 3982, 1686, 267, 5389, 543, 3347, 269, 1635, 602, 4214, 267, 882, 20814, 1004, 610, 9427, 1453, 689, 3885, 1223, 2179, 547, 2048, 323, 652, 549, 3539, 685, 873, 607, 513, 1004, 1848, 1809, 621, 568, 711, 519, 14374, 779, 4214, 602, 12909, 827, 968, 8145, 8221, 1453, 5608, 519, 6167, 4214, 540, 21393, 12777, 3081, 602, 968, 1721, 322, 4601, 22151, 1453, 540, 519, 1895, 547, 1776, 1895, 892, 568, 513, 1505, 540, 21393, 269, 9894, 519, 2898, 21107, 4604, 711, 21898, 547, 1224, 519, 4214, 540, 21393, 1354, 1603, 606, 2376, 827, 621, 888, 29012, 267, 7429, 519, 1657, 268, 20197, 11356, 9375, 10118, 267, 519, 715, 8379, 11085, 310, 294, 11567, 519, 4214, 540, 21393, 269, 4256, 476, 5379, 22240, 29433, 1867, 14592, 1312, 519, 6167, 4214, 543, 519, 4214, 1369, 4516, 779, 4031, 269, 1358, 1448, 856, 602, 267, 968, 763, 8225, 4214, 12346, 14356, 593, 519, 3486, 4214, 31218, 1717, 267, 519, 6469, 29417, 12799, 8591, 835, 1271, 3693, 547, 519, 4214, 540, 21393, 281, 9631, 3827, 1107, 602, 568, 267, 519, 5821, 547, 957, 1107, 666, 13822, 1024, 665, 10537, 2932, 1848, 898, 4667, 602, 952, 519, 21107, 12545, 1185, 536, 6139, 1042, 547, 1224, 519, 1867, 789, 5433, 865, 20582, 538, 10404, 1944, 267, 789, 1223, 723, 12943, 513, 2603, 540, 741, 1378, 2048, 638, 5465, 9957, 901, 5012, 803, 547, 4898, 952, 789, 1224, 519, 1867, 543, 1287, 4956, 547, 11716, 621, 267, 610, 952, 789, 1705, 711, 21898, 2542, 519, 1867, 779, 4681, 693, 782, 563, 4407, 519, 32527, 520, 3019, 10060, 4942, 14535, 1460, 267, 3204, 2088, 26064, 6261, 739, 267, 543, 17842, 10060, 9375, 10118, 941, 15265, 267, 519, 1034, 23892, 729, 519, 31248, 543, 25357, 779, 968, 3674, 4516, 22867, 21393, 286, 2334, 3085, 1406, 1039, 909, 3034, 763, 31248, 543, 25357, 32000, 8274, 12134, 267, 968, 3674, 519, 10243, 6031, 602, 519, 7972, 540, 519, 476, 4343, 7087, 2021, 945, 267, 2687, 547, 10803, 4516, 267, 5747, 676, 4630, 8336, 538, 476, 1001, 278, 1058, 581, 11567, 896, 4516, 779, 9197, 1307, 18830, 5274, 640, 543, 2782, 9197, 1307, 2920, 267, 519, 1876, 12044, 21393, 286, 1656, 568, 972, 2963, 602, 519, 5313, 2229, 568, 6309, 3373, 635, 14032, 538, 1346, 7972, 267, 543, 602, 519, 4630, 15969, 941, 968, 1260, 4784, 609, 8247, 547, 6861, 267, 538, 2898, 610, 538, 851, 267, 606, 30753, 1895, 540, 7606, 892, 286, 685, 7536, 8170, 1576, 267, 1185, 789, 3144, 519, 942, 547, 1224, 519, 4681, 540, 519, 769, 11431, 789, 1131, 711, 723, 6836, 547, 1118, 971, 11174, 7440, 269, 1280, 1383, 267, 519, 29433, 1867, 593, 21393, 6941, 267, 968, 763, 1202, 573, 1190, 543, 16795, 2470, 540, 519, 21933, 28375, 540, 7087, 9082, 267, 543, 519, 3668, 540, 513, 7833, 3084, 3609, 27490, 20243, 676, 513, 2698, 9107, 4487, 332, 785, 267, 16174, 7810, 21393, 689, 938, 2757, 1620, 540, 1018, 13054, 513, 21393, 269, 1452, 23243, 2188, 723, 267, 19890, 267, 4847, 519, 8225, 9637, 547, 14962, 4516, 779, 7810, 4507, 607, 22457, 543, 13817, 18727, 267, 2864, 982, 11760, 873, 607, 12799, 1024, 665, 10537, 543, 267, 1256, 267, 5571, 3034, 3383, 1100, 267, 17842, 10060, 267, 519, 14374, 568, 711, 6031, 602, 4630, 15969, 540, 7087, 6468, 543, 21989, 968, 29019, 581, 11567, 896, 4516, 779, 9197, 1307, 18830, 5274, 640, 543, 2782, 9197, 1307, 2920, 3034, 8133, 267, 17842, 10060, 267, 519, 715, 8379, 11085, 310, 294, 568, 6031, 968, 11004, 568, 2963, 602, 519, 5313, 2229, 568, 6309, 3373, 635, 14032, 538, 1346, 7972, 1848, 3502, 1152, 602, 267, 519, 476, 1001, 280, 715, 8379, 11085, 310, 294, 16941, 593, 476, 7176, 3105, 5359, 602, 5059, 593, 610, 5018, 5208, 1996, 7087, 2021, 538, 4516, 269, 589, 2824, 1906, 540, 519, 3105, 5359, 616, 13890, 538, 606, 2376, 585, 519, 2817, 5403, 676, 19784, 267, 2637, 3534, 21207, 269, 1358, 12701, 782, 519, 1259, 1394, 547, 519, 21563, 576, 7797, 540, 476, 5002, 278, 799, 32131, 519, 15372, 593, 519, 1072, 6433, 543, 1164, 2669, 3928, 538, 4095, 1763, 7808, 12140, 538, 4516, 269, 634, 2376, 267, 968, 300, 11085, 310, 14374, 16668, 689, 476, 7176, 4505, 5359, 269, 634, 1482, 2042, 543, 26867, 1242, 3435, 16079, 998, 873, 782, 892, 6941, 875, 3105, 5359, 723, 1500, 2147, 7840, 547, 519, 2229, 540, 4516, 267, 543, 2370, 547, 1100, 2962, 814, 1044, 3144, 269, 1403, 519, 2229, 814, 1044, 19942, 7366, 540, 7840, 543, 1761, 3435, 936, 5756, 855, 31439, 547, 957, 267, 616, 789, 711, 968, 322, 3234, 3373, 635, 14032, 892, 888, 763, 31248, 543, 25357, 32000, 8274, 10123, 2829, 267, 968, 8512, 540, 519, 1966, 814, 1044, 513, 3668, 3385, 529, 673, 10182, 676, 7128, 22602, 267, 543, 519, 2192, 26455, 3661, 676, 2250, 6608, 602, 519, 15294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2882, 2238, 585, 3237, 547, 1489, 1453, 781, 1646, 540, 891, 1983, 563, 14399, 979, 998, 11775, 540, 2542, 1646, 689, 9251, 998, 3791, 3446, 2443, 689, 3408, 540, 2835, 547, 4830, 2542, 269, 769, 1101, 3446, 267, 1453, 2253, 547, 1224, 2241, 2984, 543, 666, 2328, 827, 513, 1888, 602, 568, 6209, 547, 873, 269, 4855, 856, 1018, 3237, 543, 3610, 666, 798, 547, 1489, 1101, 3446, 7924, 1983, 563, 14399, 979, 998, 11775, 540, 2542, 1646, 689, 9251, 998, 3791, 3446, 2443, 689, 3408, 540, 2835, 547, 4830, 2542, 269, 769, 9656, 267, 1453, 1020, 2596, 2035, 540, 1820, 543, 2253, 547, 4497, 538, 543, 4603, 609, 2542, 543, 1603, 269, 4855, 856, 1018, 3237, 543, 3610, 666, 798, 547, 1489, 9656, 7924, 1983, 563, 6624, 3610, 786, 581, 1210, 29433, 18551, 543, 2262, 29627, 10744, 2326, 547, 3986, 2542, 6044, 585, 741, 1053, 269, 769, 713, 2376, 267, 519, 4589, 1683, 4808, 585, 8159, 519, 10333, 540, 891, 18551, 543, 2262, 6284, 3292, 563, 2026, 1453, 1451, 930, 4484, 1606, 895, 13292, 543, 1376, 547, 1224, 267, 789, 849, 2253, 547, 4603, 609, 1603, 269, 1452, 2238, 666, 581, 1031, 609, 1453, 547, 1020, 741, 1603, 543, 10259, 5759, 563, 2467, 616, 1896, 13016, 4879, 2645, 585, 12570, 1585, 3334, 540, 2542, 269, 634, 1739, 616, 4557, 6700, 2645, 585, 3610, 547, 946, 563, 4322, 1382, 2861, 2542, 2994, 666, 1628, 513, 5748, 585, 2542, 1967, 538, 1053, 538, 3791, 3446, 543, 3564, 563, 5804, 5756, 540, 1382, 827, 875, 1762, 1453, 666, 1655, 1451, 547, 1224, 267, 649, 917, 602, 972, 616, 4295, 1983, 543, 5042, 3157, 602, 991, 547, 581, 6026, 269, 769, 713, 2596, 7650, 267, 596, 3580, 1265, 6405, 2994, 547, 948, 1453, 1628, 513, 4396, 5748, 585, 2542, 563, 13981, 875, 547, 1224, 3340, 1896, 1950, 18517, 269, 3367, 827, 519, 2591, 1453, 3068, 607, 789, 1451, 875, 4992, 616, 4448, 547, 1820, 267, 607, 789, 1020, 21711, 267, 543, 607, 789, 1451, 547, 4020, 2495, 689, 1820, 563, 16248, 1292, 18517, 21656, 1434, 3988, 269, 4855, 856, 1018, 891, 18517, 616, 267, 543, 1018, 2833, 538, 519, 2038, 1296, 2482, 519, 24536, 585, 1140, 8724, 873, 563, 15900, 7924, 2238, 948, 1762, 1453, 1020, 1082, 1983, 269, 2290, 540, 891, 1983, 568, 13093, 1670, 4656, 269, 6258, 827, 13093, 1670, 4656, 543, 875, 3237, 666, 948, 1453, 1020, 621, 269, 0, 2691, 1065, 31857, 513, 30947, 320, 267, 621, 568, 1271, 547, 3442, 513, 3037, 602, 786, 1683, 7850, 12775, 1247, 1869, 20808, 930, 7509, 269, 589, 3037, 602, 568, 1932, 22501, 786, 711, 3180, 2614, 7509, 543, 513, 3037, 602, 568, 1932, 10036, 6438, 786, 25224, 519, 2030, 779, 2208, 563, 288, 1434, 4781, 585, 1065, 31857, 513, 30947, 320, 568, 513, 7848, 540, 3160, 2694, 24435, 21263, 267, 829, 29411, 267, 543, 2357, 6193, 592, 924, 269, 901, 7848, 786, 1683, 519, 2030, 609, 519, 12775, 621, 2115, 1247, 1869, 20808, 2614, 7509, 585, 519, 5072, 563, 268, 1548, 568, 519, 1259, 547, 1065, 582, 30947, 320, 888, 268, 1684, 30947, 553, 899, 2620, 610, 13719, 17428, 888, 268, 1215, 2620, 1058, 30947, 320, 17428, 581, 888, 268, 1215, 798, 594, 917, 952, 1250, 30947, 320, 2115, 1216, 888, 268, 1215, 1419, 1058, 596, 5134, 513, 30947, 320, 2030, 888, 268, 2052, 594, 5134, 1250, 30947, 320, 4948, 888, 268, 2052, 594, 10936, 1216, 593, 30947, 320, 3762, 888, 268, 2052, 594, 3575, 28693, 3037, 609, 29238, 3037, 585, 30947, 320, 888, 268, 1548, 1826, 540, 3037, 568, 585, 30947, 320, 888, 268, 1772, 21001, 2193, 23108, 28693, 3037, 1434, 585, 30947, 320, 888, 268, 2052, 596, 946, 28693, 3037, 585, 2834, 2371, 888, 268, 1548, 779, 519, 3017, 1063, 28693, 3037, 543, 29238, 3037, 888, 268, 1548, 3037, 568, 585, 11255, 2371, 888, 268, 2052, 596, 3575, 30362, 3037, 609, 2834, 3037, 888, 1432, 568, 519, 1259, 547, 1065, 582, 30947, 320, 888, 2691, 621, 2501, 942, 547, 1065, 582, 707, 30947, 320, 267, 972, 616, 513, 1906, 1919, 596, 3580, 991, 547, 1491, 883, 7156, 269, 3689, 267, 596, 3580, 991, 547, 3442, 513, 1494, 602, 568, 1152, 5594, 3677, 982, 519, 1699, 835, 269, 589, 1494, 602, 568, 1932, 1804, 786, 1267, 538, 519, 2030, 4742, 1494, 27995, 267, 799, 666, 1291, 547, 513, 6175, 538, 2208, 563, 2791, 3580, 849, 991, 547, 1118, 2386, 519, 1494, 814, 12775, 9475, 547, 1450, 585, 1697, 12775, 563, 5629, 596, 4076, 5697, 513, 1494, 267, 621, 779, 942, 547, 5965, 519, 2030, 269, 28528, 4894, 519, 30947, 320, 689, 922, 1699, 1494, 267, 1373, 6297, 547, 711, 3441, 519, 5072, 269, 8921, 267, 3138, 4923, 909, 519, 5072, 543, 4894, 1022, 2025, 29238, 3575, 563, 2252, 519, 5072, 2408, 547, 581, 11741, 539, 267, 596, 666, 751, 848, 873, 6306, 609, 707, 11263, 563, 3086, 621, 779, 942, 547, 1494, 519, 2030, 269, 9255, 513, 4494, 540, 4195, 29238, 3575, 538, 519, 5377, 540, 519, 1494, 543, 1287, 1039, 519, 30947, 320, 269, 5269, 2386, 547, 6109, 519, 3575, 1472, 519, 5072, 543, 1216, 1134, 269, 14190, 519, 2030, 547, 8963, 1354, 11093, 621, 538, 922, 3803, 4087, 563, 2710, 30947, 553, 899, 2620, 610, 13719, 17428, 888, 7197, 30947, 553, 4782, 2620, 17428, 865, 789, 666, 1332, 741, 1804, 5072, 269, 1403, 596, 2661, 538, 513, 3905, 2916, 267, 2705, 267, 596, 949, 1616, 547, 1683, 513, 30947, 320, 609, 513, 13719, 1494, 547, 948, 2061, 519, 5072, 689, 23986, 908, 563, 1692, 2620, 1058, 30947, 320, 17428, 581, 888, 288, 30947, 320, 1494, 1058, 581, 2620, 2614, 547, 1450, 519, 2030, 779, 5072, 547, 1332, 11884, 267, 855, 711, 865, 2620, 602, 519, 2030, 3587, 1216, 8421, 3022, 269, 634, 1494, 1058, 849, 723, 12775, 9475, 547, 1450, 4430, 1216, 547, 8963, 2476, 563, 1692, 798, 594, 917, 952, 1250, 30947, 320, 2115, 1216, 888, 763, 1034, 2995, 339, 1446, 1129, 602, 707, 30947, 320, 2115, 1216, 568, 950, 519, 3762, 1376, 547, 5323, 641, 269, 6271, 1129, 602, 707, 2030, 568, 19818, 344, 568, 950, 519, 3762, 2253, 547, 2490, 5835, 269, 1403, 596, 1294, 2901, 540, 891, 4191, 267, 621, 779, 942, 547, 2285, 707, 30947, 320, 513, 4235, 256, 563, 1692, 1419, 1058, 596, 5134, 513, 30947, 320, 2030, 888, 1103, 2489, 267, 596, 1058, 5134, 707, 30947, 320, 2030, 1169, 824, 1554, 610, 1169, 1614, 2395, 269, 1403, 519, 3762, 540, 707, 2030, 1376, 547, 5323, 641, 267, 602, 568, 513, 1129, 602, 621, 568, 19818, 344, 543, 596, 1058, 5134, 621, 811, 4749, 563, 4692, 594, 5134, 1250, 30947, 320, 4948, 888, 8133, 267, 596, 666, 5134, 707, 30947, 320, 1169, 1554, 952, 596, 8910, 899, 269, 631, 12371, 568, 513, 1390, 1259, 547, 2333, 11195, 1472, 707, 2030, 267, 799, 568, 6225, 585, 513, 30947, 320, 269, 3807, 581, 2386, 711, 547, 5134, 519, 3762, 2933, 267, 607, 713, 666, 2014, 873, 547, 6960, 543, 6749, 1055, 563, 4692, 594, 10936, 1216, 593, 30947, 320, 3762, 888, 8133, 267, 596, 666, 6157, 10936, 1216, 593, 30947, 320, 3762, 256, 769, 1249, 267, 621, 779, 513, 1434, 2856, 547, 798, 865, 1169, 1631, 543, 1586, 267, 607, 621, 786, 948, 1832, 519, 3762, 8799, 543, 2973, 269, 3807, 581, 2386, 711, 547, 946, 1932, 1454, 1216, 267, 607, 713, 1223, 2014, 519, 3762, 547, 4232, 563, 4692, 594, 3575, 28693, 3037, 609, 29238, 3037, 585, 30947, 320, 888, 8133, 267, 596, 666, 3575, 28693, 3037, 609, 29238, 3037, 585, 30947, 320, 269, 1717, 267, 621, 568, 1271, 547, 3314, 602, 28693, 3037, 568, 1454, 811, 10053, 982, 29238, 3037, 269, 1306, 513, 1267, 267, 596, 786, 991, 547, 946, 1447, 28693, 3037, 982, 29238, 3037, 563, 12234, 267, 596, 949, 991, 547, 1216, 707, 30947, 320, 811, 4749, 950, 1210, 513, 28693, 3037, 3575, 563, 1432, 1826, 540, 3037, 568, 585, 30947, 320, 888, 7197, 30947, 320, 2371, 1332, 1655, 538, 3638, 267, 1208, 639, 344, 267, 1134, 1673, 11712, 11934, 269, 30947, 320, 786, 849, 20496, 25013, 11934, 607, 1279, 607, 789, 616, 711, 4847, 547, 3819, 856, 4625, 269, 589, 1769, 22890, 267, 971, 607, 27054, 4765, 13626, 267, 2337, 1832, 519, 5072, 3579, 543, 5848, 563, 3674, 21001, 2193, 23108, 28693, 3037, 1434, 585, 30947, 320, 888, 300, 4275, 2193, 23108, 28693, 3037, 568, 711, 5227, 585, 30947, 320, 269, 898, 568, 1932, 11741, 543, 1223, 3411, 11229, 519, 5072, 563, 4692, 596, 946, 28693, 3037, 585, 2834, 2371, 888, 290, 716, 639, 3037, 666, 960, 585, 2834, 2371, 267, 855, 621, 2731, 5673, 593, 519, 2030, 269, 595, 716, 639, 3037, 568, 3622, 1360, 3819, 543, 711, 1360, 14312, 267, 865, 1034, 2371, 1131, 711, 798, 1134, 538, 621, 269, 1717, 267, 930, 2371, 602, 616, 5065, 547, 3819, 267, 9390, 16374, 1522, 798, 1134, 538, 28693, 3037, 563, 2252, 596, 2461, 711, 2386, 267, 621, 779, 2141, 1655, 547, 5077, 513, 21543, 610, 12202, 4274, 1354, 1210, 28693, 3037, 585, 2834, 2371, 563, 1432, 779, 519, 3017, 1063, 28693, 3037, 543, 29238, 3037, 888, 290, 716, 639, 3037, 568, 2966, 547, 8963, 3533, 543, 3180, 2370, 1216, 267, 1247, 29238, 3037, 568, 2966, 547, 11677, 7509, 269, 595, 716, 639, 3037, 568, 849, 811, 21432, 982, 29238, 3037, 267, 799, 2636, 585, 1732, 12775, 563, 1103, 1840, 267, 28693, 3037, 1419, 3568, 21187, 971, 607, 829, 29411, 610, 5070, 547, 2087, 12775, 267, 1247, 29238, 3037, 3335, 1281, 711, 563, 1432, 3037, 568, 585, 11255, 2371, 888, 5715, 3233, 2371, 3622, 4782, 3037, 602, 568, 10690, 543, 1134, 8584, 23306, 269, 1473, 3233, 2371, 849, 4043, 547, 4782, 3037, 602, 568, 593, 519, 15755, 2427, 267, 609, 513, 9063, 540, 476, 277, 269, 476, 271, 610, 2630, 269, 3509, 5010, 29238, 30012, 616, 2139, 585, 11255, 2371, 267, 543, 891, 30012, 3335, 2270, 513, 3099, 540, 5820, 267, 1519, 24435, 21263, 267, 829, 29411, 267, 543, 2357, 6193, 592, 924, 563, 4692, 596, 3575, 30362, 3037, 609, 2834, 3037, 888, 8133, 267, 596, 666, 3575, 30362, 3037, 609, 2834, 3037, 267, 855, 621, 568, 711, 5227, 269, 2672, 764, 12040, 3037, 568, 4481, 19775, 547, 948, 891, 2371, 8853, 267, 1247, 2834, 3037, 666, 581, 1932, 10053, 543, 11741, 539, 585, 873, 563, 300, 30480, 519, 1079, 666, 1267, 538, 3037, 602, 568, 1932, 5230, 543, 5667, 340, 3386, 585, 13151, 28684, 269, 1403, 596, 1590, 3575, 519, 1079, 267, 1118, 2386, 547, 946, 811, 30362, 3037, 982, 2834, 3037, 269, 0, 291, 21397, 10654, 338, 1810, 1405, 2141, 1291, 547, 31710, 538, 5480, 269, 17318, 11464, 9073, 267, 25768, 7362, 3315, 345, 619, 543, 6760, 2978, 6959, 949, 1205, 707, 10997, 4389, 610, 25323, 269, 16731, 938, 4993, 667, 21397, 2985, 547, 1451, 811, 563, 290, 2753, 2665, 3622, 4125, 13882, 1063, 4357, 6105, 971, 607, 2123, 5945, 4031, 7057, 267, 4579, 13882, 610, 16028, 18659, 269, 1635, 4334, 267, 7803, 2665, 4125, 21991, 1903, 676, 519, 2229, 1996, 1004, 610, 9988, 585, 22867, 10963, 971, 607, 12638, 267, 6469, 5208, 267, 667, 21397, 610, 12611, 563, 2467, 616, 2947, 1292, 3604, 1063, 513, 3540, 2013, 543, 513, 7803, 2013, 269, 1452, 9305, 547, 912, 1492, 2621, 602, 9594, 513, 2013, 2676, 1492, 6105, 3238, 2676, 1492, 24675, 540, 6169, 267, 543, 454, 1492, 4031, 3238, 563, 9616, 602, 3540, 543, 7803, 2665, 616, 2356, 20775, 547, 835, 1776, 269, 1717, 267, 538, 930, 8320, 267, 519, 1482, 957, 949, 1291, 547, 1312, 513, 3540, 2013, 543, 513, 1644, 7803, 23312, 563, 2690, 1383, 267, 513, 1268, 1223, 581, 9901, 609, 519, 6760, 540, 544, 753, 331, 5922, 585, 11318, 2576, 3116, 269, 1717, 267, 519, 11318, 1223, 1106, 519, 4493, 540, 513, 3540, 2013, 896, 513, 1533, 779, 4636, 995, 2669, 4031, 563, 272, 269, 1684, 1114, 2621, 9594, 3540, 543, 7803, 2665, 888, 7197, 1419, 267, 9811, 269, 589, 1268, 610, 11769, 2356, 6119, 513, 3540, 27779, 19101, 602, 1776, 5428, 2901, 912, 325, 9229, 547, 1685, 610, 27481, 513, 3656, 10279, 267, 610, 454, 24825, 730, 4357, 610, 13338, 2924, 269, 272, 454, 2690, 1383, 267, 513, 5428, 949, 20006, 3656, 2962, 1317, 912, 515, 24172, 11124, 513, 2123, 5945, 1310, 513, 10629, 8959, 547, 27481, 513, 10279, 547, 1683, 10257, 2564, 1416, 2676, 320, 28079, 267, 538, 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 ]
[ 8237, 883, 2789, 27549, 10851, 269, 1677, 2226, 519, 8699, 540, 519, 1062, 267, 519, 1031, 15791, 991, 547, 581, 3595, 15951, 543, 5302, 27935, 9935, 269, 1703, 616, 849, 1808, 12451, 543, 3280, 2604, 2157, 602, 991, 547, 581, 9738, 1369, 519, 11623, 540, 519, 1166, 1846, 547, 2327, 602, 519, 10332, 5365, 568, 5693, 2912, 1043, 547, 782, 7264, 269, 2598, 12574, 31269, 616, 1152, 2808, 543, 1058, 581, 3177, 609, 3358, 1949, 547, 2327, 13784, 269, 7457, 547, 519, 3937, 543, 1852, 8470, 568, 547, 581, 3177, 693, 519, 3595, 25881, 685, 7127, 2798, 609, 1472, 519, 9219, 1569, 269, 901, 568, 849, 13745, 609, 6595, 8654, 543, 513, 1394, 268, 909, 1379, 3761, 585, 693, 2547, 476, 7761, 3108, 267, 799, 1058, 581, 4092, 538, 1970, 16151, 2127, 540, 519, 2679, 563, 13010, 267, 30788, 6340, 267, 519, 3044, 23403, 1978, 3606, 3800, 547, 2226, 519, 8699, 540, 519, 1062, 269, 1452, 14377, 883, 513, 5934, 1297, 540, 11443, 17787, 4470, 593, 519, 2679, 4463, 543, 519, 1826, 540, 1062, 1031, 269, 29844, 2348, 1447, 982, 4557, 4558, 903, 2154, 602, 1079, 21800, 24966, 798, 711, 771, 762, 519, 27549, 10332, 3457, 1369, 811, 982, 3368, 540, 519, 4558, 903, 269, 1717, 267, 538, 5656, 2362, 982, 4557, 4558, 903, 267, 1079, 21800, 24966, 1058, 711, 771, 762, 519, 27549, 10332, 3457, 1369, 811, 982, 3791, 540, 519, 4558, 903, 563, 7034, 476, 279, 7830, 280, 666, 581, 2808, 607, 513, 10151, 3070, 547, 606, 4540, 1966, 269, 898, 729, 10416, 2813, 547, 4217, 519, 3595, 32531, 1228, 538, 21365, 968, 560, 599, 2322, 892, 2994, 602, 723, 519, 1761, 540, 17528, 538, 513, 12905, 6073, 269, 4634, 1498, 968, 560, 599, 2322, 892, 27549, 2994, 666, 581, 1360, 3811, 267, 2523, 538, 9319, 11991, 11784, 543, 28842, 1466, 1851, 11317, 267, 789, 616, 1360, 3810, 882, 5050, 593, 26654, 566, 4398, 269, 1306, 2963, 2982, 267, 26654, 566, 666, 3111, 693, 2053, 267, 543, 950, 602, 4523, 267, 519, 4539, 666, 581, 3833, 13249, 269, 4935, 267, 952, 606, 3167, 1062, 666, 957, 607, 513, 1394, 5346, 2268, 543, 2333, 519, 8699, 540, 519, 4540, 11064, 267, 1287, 1210, 621, 1058, 581, 1898, 269, 0, 17457, 14579, 19932, 17496, 693, 454, 289, 584, 2023, 10003, 12729, 3427, 454, 24375, 940, 538, 5181, 476, 1708, 272, 267, 938, 631, 14566, 6437, 814, 2919, 547, 12167, 513, 25182, 6437, 609, 811, 942, 9709, 547, 7842, 1702, 543, 1983, 269, 634, 6297, 15971, 540, 519, 6437, 2636, 585, 4514, 1565, 543, 1620, 269, 769, 13722, 6206, 8609, 5565, 630, 17413, 476, 274, 1070, 1453, 2253, 741, 5053, 1893, 1565, 269, 30272, 267, 713, 568, 3710, 2390, 538, 519, 1739, 1032, 267, 609, 519, 1482, 3584, 6594, 630, 514, 811, 3178, 264, 543, 11144, 609, 519, 1646, 540, 2362, 1931, 1983, 269, 3973, 538, 519, 5729, 12866, 267, 538, 16592, 6206, 8609, 5565, 267, 3943, 1893, 1565, 5956, 269, 5753, 946, 741, 1991, 1893, 1565, 267, 519, 1702, 267, 1983, 267, 6863, 543, 21342, 3889, 547, 1118, 4296, 609, 741, 2034, 1893, 19927, 269, 11088, 267, 519, 13210, 616, 3710, 538, 5729, 476, 276, 543, 713, 568, 27636, 538, 5729, 14520, 267, 950, 4974, 519, 1482, 3584, 538, 811, 3178, 563, 1607, 1032, 267, 649, 2832, 547, 2936, 938, 1007, 6437, 543, 11144, 540, 6863, 543, 1702, 269, 1284, 723, 513, 1007, 1893, 11285, 630, 299, 714, 717, 1513, 728, 1070, 945, 936, 519, 1576, 540, 519, 1032, 786, 4001, 1142, 6206, 8609, 5565, 1362, 267, 1739, 519, 7043, 31645, 4643, 269, 2201, 10047, 267, 950, 938, 11285, 568, 711, 4626, 564, 12574, 547, 4001, 538, 513, 1362, 267, 519, 1362, 4116, 786, 5838, 1893, 1565, 1739, 938, 7043, 31645, 268, 23945, 269, 1306, 519, 1007, 631, 14566, 6205, 713, 1032, 267, 594, 1544, 547, 960, 7258, 700, 714, 543, 519, 3610, 547, 2327, 519, 6437, 568, 1373, 8045, 3927, 269, 1284, 2832, 547, 1118, 938, 631, 14566, 6437, 811, 3946, 593, 543, 4052, 609, 513, 5458, 1445, 593, 6340, 543, 6947, 269, 1452, 1983, 616, 1898, 538, 1931, 585, 1453, 547, 581, 2111, 547, 1224, 543, 2328, 538, 513, 4914, 1893, 1932, 269, 19932, 786, 581, 6026, 538, 2796, 609, 513, 2686, 3693, 11251, 543, 8142, 539, 2429, 519, 3584, 6026, 269, 901, 2636, 519, 1702, 19927, 547, 2048, 22496, 685, 607, 519, 1453, 666, 1118, 4296, 538, 741, 1565, 269, 1284, 3494, 602, 621, 568, 4105, 585, 782, 1453, 547, 1995, 513, 2039, 540, 1114, 1565, 3255, 543, 649, 2832, 547, 798, 713, 998, 3078, 543, 2502, 631, 14566, 4245, 269, 769, 1840, 547, 713, 267, 938, 5729, 14520, 1453, 723, 519, 4316, 547, 979, 547, 5333, 585, 513, 10821, 7552, 269, 634, 1453, 616, 711, 1152, 27153, 538, 3943, 2528, 855, 2016, 519, 3255, 547, 946, 543, 4019, 519, 1983, 789, 723, 9715, 538, 1483, 1272, 3871, 269, 901, 568, 513, 2731, 7096, 1565, 4316, 543, 606, 20605, 1995, 602, 10453, 3314, 585, 1272, 563, 5978, 3450, 540, 519, 631, 14566, 6437, 2115, 547, 581, 6462, 676, 2500, 4879, 540, 519, 1453, 779, 1620, 540, 519, 6863, 267, 8239, 543, 2686, 2460, 540, 4914, 4654, 269, 589, 2022, 15492, 4879, 786, 581, 6192, 693, 519, 1439, 540, 519, 1770, 543, 949, 581, 9447, 538, 3099, 540, 2081, 267, 971, 607, 1909, 1404, 7391, 267, 14245, 543, 7044, 269, 901, 811, 4052, 1935, 547, 4879, 568, 811, 3617, 547, 11604, 519, 1893, 1565, 2921, 1747, 538, 4245, 269, 1452, 10526, 786, 1287, 581, 1031, 676, 519, 4116, 547, 2697, 1022, 10616, 543, 1544, 9935, 538, 519, 2104, 269, 634, 1374, 540, 519, 6437, 2636, 1883, 8239, 543, 1702, 547, 581, 20460, 1243, 543, 3710, 2390, 269, 901, 786, 2327, 602, 519, 1702, 814, 1044, 17477, 543, 8149, 547, 519, 1453, 779, 1279, 2165, 3965, 269, 0, 24791, 667, 899, 782, 824, 8324, 568, 1898, 547, 1591, 5250, 543, 547, 707, 2949, 1072, 269, 1717, 267, 621, 729, 4080, 602, 1004, 267, 1034, 2523, 1346, 945, 2661, 538, 519, 4639, 616, 2921, 1932, 1454, 8324, 269, 769, 1249, 267, 519, 10853, 4137, 540, 1018, 789, 2461, 7836, 593, 2921, 8192, 9360, 4805, 5666, 547, 1269, 2537, 5479, 12422, 269, 1656, 1072, 5238, 1589, 713, 4137, 568, 3274, 1932, 1454, 607, 891, 1004, 616, 2921, 8324, 543, 824, 9360, 789, 2965, 3085, 1406, 991, 4948, 563, 10190, 972, 616, 2090, 602, 1256, 1397, 602, 2921, 891, 8192, 9360, 4948, 899, 12192, 595, 267, 661, 267, 543, 667, 1131, 723, 606, 4890, 4324, 547, 1004, 945, 616, 2965, 538, 1434, 1072, 2907, 269, 769, 1249, 267, 789, 1256, 24633, 602, 606, 30072, 540, 891, 8324, 1223, 581, 3983, 585, 707, 1072, 269, 1703, 616, 4220, 3238, 538, 2921, 1932, 1454, 8192, 7110, 607, 891, 949, 723, 2942, 4539, 585, 596, 538, 519, 1279, 2196, 563, 3719, 1354, 596, 3247, 2921, 782, 707, 8192, 9360, 15587, 267, 1072, 5238, 899, 519, 2817, 23941, 540, 2657, 267, 849, 2829, 602, 972, 616, 9867, 20209, 1878, 602, 1397, 1114, 2360, 540, 891, 8192, 9360, 593, 1004, 269, 901, 568, 1317, 972, 616, 1932, 1454, 2090, 3823, 519, 1198, 540, 891, 9360, 602, 972, 616, 1114, 2164, 689, 1114, 6901, 5473, 891, 8192, 9360, 865, 519, 1267, 568, 602, 972, 616, 1312, 2318, 543, 2942, 2360, 547, 1489, 891, 2090, 563, 8139, 519, 2360, 540, 1114, 8324, 568, 1898, 952, 596, 1616, 547, 2611, 538, 1434, 1072, 269, 1280, 1383, 267, 12192, 595, 568, 513, 1434, 4550, 268, 31038, 656, 543, 621, 849, 2337, 1628, 909, 513, 2178, 4761, 1062, 269, 12192, 661, 568, 849, 606, 4550, 268, 31038, 656, 602, 1058, 581, 1434, 585, 1072, 950, 3144, 538, 20208, 269, 898, 1223, 1256, 2057, 707, 2348, 2295, 2042, 855, 972, 616, 849, 14669, 4681, 602, 952, 1223, 2333, 519, 1981, 540, 2295, 2042, 950, 596, 2907, 723, 713, 2068, 563, 4913, 267, 519, 2817, 23941, 540, 2657, 849, 15565, 2921, 930, 5697, 9360, 899, 12192, 667, 585, 2021, 1310, 741, 2367, 641, 30167, 2085, 547, 5351, 538, 4509, 519, 18569, 1465, 540, 741, 7633, 269, 12192, 667, 568, 1434, 585, 707, 2168, 1072, 607, 835, 540, 922, 3252, 568, 547, 8415, 824, 5567, 538, 519, 1560, 899, 7513, 676, 4543, 621, 10110, 713, 7777, 689, 707, 24026, 269, 1809, 713, 568, 711, 1510, 1981, 607, 899, 782, 824, 9360, 267, 2921, 12192, 667, 849, 814, 922, 1378, 4220, 563, 10303, 540, 713, 596, 1590, 1101, 917, 519, 2959, 540, 12192, 667, 267, 835, 2707, 13296, 596, 666, 10536, 12192, 667, 538, 707, 1560, 568, 998, 28453, 267, 543, 713, 666, 2901, 581, 3144, 2901, 538, 519, 1106, 540, 1426, 610, 9360, 269, 6271, 1259, 547, 10536, 12192, 667, 883, 707, 1560, 568, 998, 4598, 547, 519, 3141, 269, 1809, 596, 849, 1590, 581, 6297, 609, 713, 607, 21467, 343, 17068, 547, 519, 3141, 666, 1291, 547, 782, 12204, 540, 2960, 2042, 563, 32451, 1454, 12192, 667, 538, 519, 1560, 786, 1291, 547, 1932, 1454, 7513, 543, 952, 713, 2783, 568, 6905, 621, 666, 1291, 547, 782, 12204, 540, 2042, 899, 17219, 538, 519, 1973, 269, 769, 1249, 267, 596, 917, 596, 723, 1185, 1932, 1454, 12192, 667, 950, 596, 723, 519, 2589, 2404, 609, 621, 543, 891, 2589, 2874, 540, 21994, 267, 13481, 267, 606, 6909, 1928, 538, 707, 2212, 267, 543, 1256, 1928, 538, 707, 7633, 563, 763, 3070, 585, 711, 2921, 1932, 1454, 12192, 667, 6013, 538, 6616, 950, 1018, 596, 1185, 28041, 568, 2614, 269, 2657, 4648, 616, 849, 14126, 602, 519, 1483, 1966, 609, 2921, 8192, 9360, 568, 602, 972, 616, 1100, 6405, 543, 9048, 325, 17014, 2963, 602, 519, 5354, 540, 1346, 945, 616, 2921, 873, 616, 2965, 3541, 1516, 606, 5413, 689, 713, 563, 9616, 281, 901, 2376, 949, 581, 11884, 25735, 607, 1279, 607, 519, 27483, 295, 3036, 24912, 4199, 4216, 693, 519, 5377, 540, 713, 2376, 568, 3769, 543, 543, 782, 6402, 1590, 581, 15765, 13624, 1074, 762, 609, 1100, 16105, 2242, 563, 13142, 331, 2940, 808, 269, 715, 12657, 454, 2690, 2353, 519, 1919, 596, 991, 547, 917, 827, 8324, 267, 5225, 979, 547, 281, 12192, 667, 1496, 10674, 2517, 4178, 6155, 2905, 10903, 7530, 3820, 270, 316, 0, 2862, 16256, 6820, 4427, 338, 573, 625, 19541, 454, 15575, 1845, 262, 8093, 4492, 2504, 4566, 856, 540, 5348, 322, 609, 8303, 7182, 281, 6167, 1867, 454, 7021, 519, 1985, 1079, 5756, 267, 6608, 616, 15217, 1788, 532, 606, 2333, 538, 2518, 3282, 543, 3154, 2504, 543, 1152, 513, 16434, 6175, 538, 5755, 2504, 563, 5522, 753, 585, 2518, 8093, 4492, 2504, 3552, 569, 856, 540, 1900, 609, 2916, 7182, 454, 13328, 6608, 1544, 547, 3132, 8093, 10173, 693, 811, 982, 5595, 519, 2557, 5812, 609, 8337, 540, 476, 272, 269, 276, 9180, 267, 1007, 1382, 814, 1336, 563, 27751, 2982, 8093, 4492, 2504, 856, 540, 1900, 609, 2229, 2916, 19647, 454, 294, 4261, 906, 1472, 519, 1158, 2503, 547, 3132, 7466, 607, 1454, 8093, 10173, 607, 741, 2916, 19647, 1131, 1450, 267, 513, 1007, 3486, 1867, 814, 1336, 563, 5522, 10165, 8093, 4492, 3977, 695, 520, 1562, 476, 272, 269, 276, 5232, 17622, 2916, 3077, 281, 6167, 454, 763, 1158, 781, 6082, 616, 4867, 4058, 547, 3132, 811, 982, 5595, 519, 2179, 540, 5755, 267, 3282, 543, 3154, 5812, 609, 12145, 2518, 8337, 547, 476, 272, 269, 276, 5232, 17622, 267, 519, 2136, 8315, 1767, 593, 13723, 630, 12914, 476, 736, 1916, 293, 1601, 559, 4492, 2504, 1590, 581, 2759, 538, 3368, 547, 1852, 2518, 8337, 281, 1353, 454, 5522, 753, 585, 8093, 4492, 2504, 1472, 519, 1158, 616, 7466, 519, 1377, 2556, 547, 3970, 2518, 8337, 547, 476, 272, 269, 276, 5232, 17622, 267, 2687, 547, 513, 1867, 5950, 13723, 563, 3963, 8093, 4492, 24307, 616, 865, 2182, 547, 6146, 454, 293, 1601, 559, 1922, 3241, 24307, 616, 835, 540, 519, 7887, 2883, 7496, 8423, 27128, 519, 1158, 781, 6521, 547, 7791, 1648, 2959, 269, 3962, 1032, 267, 6608, 1472, 519, 1158, 13248, 1472, 3368, 513, 18265, 9489, 883, 31567, 16715, 519, 3902, 540, 8093, 10173, 2443, 811, 982, 17784, 1018, 5710, 1963, 4309, 269, 901, 568, 5103, 7368, 26823, 2471, 676, 14761, 547, 1439, 713, 2186, 540, 1489, 267, 1519, 6898, 689, 519, 717, 278, 543, 717, 736, 2516, 540, 6082, 563, 293, 1601, 559, 4492, 2504, 1472, 519, 1158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3257, 865, 585, 6634, 540, 1296, 269, 1358, 723, 1044, 2938, 10760, 693, 476, 2764, 267, 1822, 3952, 269, 1358, 723, 2095, 333, 936, 6778, 31231, 560, 256, 2560, 634, 2626, 4667, 547, 581, 602, 3046, 32567, 2520, 3150, 267, 899, 782, 5017, 1765, 21065, 2719, 18346, 267, 26723, 878, 1127, 267, 25190, 976, 1765, 17647, 2706, 18026, 9641, 563, 7617, 6177, 568, 519, 4622, 540, 5017, 888, 324, 14410, 763, 23914, 568, 1572, 519, 968, 21914, 540, 20002, 5608, 855, 713, 2140, 814, 849, 1044, 2016, 547, 519, 530, 1066, 269, 12275, 19085, 267, 519, 4622, 540, 519, 5017, 538, 9699, 13299, 563, 1432, 568, 519, 10545, 6177, 538, 2342, 888, 326, 1245, 920, 560, 763, 4154, 920, 560, 568, 519, 10545, 3864, 6177, 267, 476, 279, 269, 276, 1700, 280, 269, 276, 4699, 630, 274, 269, 274, 1700, 274, 269, 278, 538, 264, 538, 3259, 267, 609, 513, 476, 1724, 269, 276, 1700, 1428, 269, 276, 4699, 630, 276, 269, 274, 1700, 277, 269, 272, 538, 264, 12209, 3966, 543, 513, 2597, 540, 476, 275, 269, 276, 1700, 278, 269, 271, 575, 630, 271, 269, 1626, 1700, 271, 269, 1839, 12063, 1916, 3963, 1281, 1250, 6177, 8038, 23651, 888, 293, 2391, 23651, 607, 596, 4330, 568, 513, 1455, 1267, 540, 711, 1373, 19679, 3022, 5265, 630, 2865, 2693, 711, 693, 782, 1040, 8409, 4105, 8849, 11444, 1705, 711, 723, 513, 4960, 547, 1106, 693, 519, 1697, 942, 538, 519, 5017, 2038, 1646, 865, 607, 547, 581, 513, 968, 11499, 892, 957, 563, 7617, 3662, 666, 8038, 18807, 888, 24109, 2719, 18346, 24109, 2719, 18346, 616, 4241, 543, 11141, 5017, 269, 1358, 616, 711, 1152, 519, 10545, 4955, 7992, 6177, 267, 7893, 476, 278, 269, 276, 1700, 1724, 17744, 538, 3259, 267, 3622, 267, 855, 789, 616, 849, 519, 1152, 1634, 5017, 602, 666, 8038, 18807, 269, 634, 23832, 12704, 7575, 741, 12209, 538, 4137, 5216, 267, 799, 2636, 519, 6177, 547, 3362, 1847, 18807, 538, 519, 2011, 563, 4692, 513, 3771, 8175, 6177, 8038, 23651, 888, 763, 5354, 540, 5017, 616, 8572, 547, 8038, 23651, 1317, 540, 519, 2497, 540, 741, 12209, 269, 6693, 4692, 513, 6177, 3207, 1247, 10760, 888, 18814, 547, 519, 3668, 540, 2090, 5464, 519, 3207, 3270, 540, 10760, 5017, 267, 891, 19165, 1185, 5892, 1044, 2451, 14955, 325, 3305, 539, 269, 3767, 267, 2705, 267, 2687, 547, 513, 1007, 1353, 689, 519, 7665, 23851, 4659, 585, 2107, 333, 603, 1108, 267, 3173, 723, 6368, 1336, 2963, 602, 5017, 798, 8197, 3207, 1247, 10760, 563, 2710, 5017, 5884, 1247, 10760, 888, 2005, 779, 1152, 1317, 2713, 5017, 616, 865, 17736, 545, 6681, 602, 621, 4667, 9490, 711, 547, 1294, 873, 950, 4666, 269, 20002, 1810, 1406, 2356, 6749, 4666, 538, 4571, 1922, 2775, 1107, 789, 5884, 538, 741, 9566, 610, 616, 9575, 543, 13881, 267, 1454, 899, 824, 1507, 2831, 563, 1432, 5017, 666, 3207, 593, 519, 13617, 888, 17954, 5338, 5017, 786, 3207, 538, 519, 9566, 267, 543, 1018, 513, 8323, 602, 1590, 581, 269, 19227, 789, 3207, 593, 519, 13617, 1107, 519, 1152, 6177, 1634, 547, 798, 713, 269, 4210, 22284, 616, 9589, 267, 12357, 5017, 267, 543, 513, 3020, 10508, 547, 723, 607, 513, 5618, 4832, 13959, 563, 2710, 5017, 5884, 540, 2025, 2085, 888, 3080, 2601, 568, 1317, 1034, 5017, 1810, 1406, 5884, 689, 2025, 2085, 267, 789, 2461, 7166, 543, 13881, 676, 11975, 971, 607, 824, 5017, 543, 824, 2831, 267, 2523, 7314, 269, 6271, 2601, 568, 602, 5017, 22109, 267, 543, 1082, 5884, 2059, 519, 1259, 543, 1439, 909, 538, 8933, 267, 12647, 267, 543, 12084, 269, 2986, 1576, 267, 930, 608, 1532, 8674, 798, 1439, 909, 593, 707, 15989, 563, 1432, 5017, 666, 29964, 899, 513, 23832, 12704, 888, 298, 652, 14843, 267, 2705, 267, 616, 519, 1152, 6177, 540, 10352, 5827, 540, 29964, 532, 269, 9521, 4130, 23832, 18346, 267, 737, 652, 14843, 616, 24835, 762, 540, 25588, 741, 12209, 3728, 2614, 547, 5352, 2614, 12740, 547, 1832, 873, 620, 21510, 267, 865, 789, 723, 547, 3068, 883, 519, 2842, 543, 7048, 593, 621, 547, 1683, 12740, 585, 873, 563, 4692, 513, 6177, 8038, 2786, 909, 888, 3383, 2130, 5017, 1491, 5413, 540, 5687, 1023, 543, 4253, 2761, 338, 676, 10760, 538, 513, 5858, 269, 634, 8375, 2011, 11438, 873, 2362, 543, 2362, 538, 513, 18700, 269, 1358, 7948, 1406, 3274, 3180, 1869, 543, 979, 2786, 909, 1317, 1510, 3001, 4464, 593, 741, 2011, 325, 11798, 12209, 267, 789, 1131, 3274, 6749, 547, 519, 2666, 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 ]
[ 0, 9209, 3797, 814, 1279, 1044, 6444, 585, 922, 9354, 2640, 267, 609, 922, 5072, 16439, 1394, 547, 519, 2038, 476, 736, 628, 2540, 269, 4653, 267, 621, 568, 11543, 2810, 3007, 585, 922, 1761, 547, 948, 1453, 609, 20150, 25400, 13081, 630, 32359, 264, 538, 7393, 741, 2790, 9716, 269, 3203, 3797, 267, 513, 1106, 540, 3860, 2861, 3797, 267, 3096, 2238, 971, 607, 5373, 267, 7206, 267, 543, 9380, 532, 547, 7520, 2792, 267, 1582, 22325, 267, 543, 2123, 1646, 269, 1280, 1453, 609, 10295, 267, 945, 1419, 6560, 609, 2792, 543, 1514, 1983, 267, 1148, 3797, 666, 1683, 513, 2189, 3760, 547, 2769, 741, 4606, 543, 4555, 269, 898, 849, 11226, 538, 741, 10444, 5610, 267, 607, 789, 4497, 609, 1114, 2326, 543, 18282, 1282, 1148, 2238, 563, 763, 946, 540, 1148, 3797, 609, 1453, 609, 10295, 1522, 3100, 23349, 693, 1101, 16145, 269, 20150, 267, 1310, 782, 267, 568, 513, 14715, 4524, 602, 5222, 1514, 4205, 267, 2792, 267, 543, 10444, 4393, 269, 1717, 267, 1148, 3797, 10301, 3564, 519, 10148, 540, 11913, 2792, 543, 512, 2355, 883, 519, 3308, 267, 28241, 267, 543, 3860, 3344, 540, 2792, 269, 769, 824, 1913, 267, 621, 2488, 513, 1875, 18446, 267, 3860, 543, 22488, 1935, 267, 3850, 519, 1126, 547, 2769, 543, 1174, 2933, 538, 513, 1259, 789, 666, 6023, 563, 1103, 2487, 1296, 267, 1896, 2090, 723, 4547, 3007, 547, 519, 2640, 540, 1148, 3797, 585, 1453, 609, 10295, 269, 2290, 1353, 676, 519, 1977, 3203, 10657, 5948, 1336, 602, 1148, 3797, 1223, 3986, 1514, 1983, 267, 2087, 2792, 267, 2569, 4160, 267, 543, 948, 1453, 4383, 741, 4664, 269, 6271, 1353, 3370, 538, 519, 4750, 540, 20150, 543, 25833, 15136, 1336, 602, 1148, 3797, 1223, 3648, 2569, 519, 2589, 540, 20284, 563, 14399, 609, 20284, 1419, 3068, 7965, 538, 1514, 4205, 269, 1358, 949, 723, 8373, 1620, 1866, 685, 5380, 267, 4664, 267, 543, 1875, 31646, 10291, 269, 3203, 3797, 267, 2705, 267, 666, 1683, 606, 4316, 547, 1020, 891, 1983, 538, 513, 2922, 543, 11215, 1604, 563, 7628, 1148, 3797, 7886, 267, 1453, 4497, 538, 1895, 2238, 1141, 789, 1451, 547, 28111, 267, 2671, 2326, 267, 1491, 7140, 267, 543, 2463, 519, 1568, 540, 1866, 269, 1358, 849, 1451, 827, 6568, 607, 789, 1174, 1114, 5380, 998, 741, 9905, 685, 11247, 269, 3683, 942, 267, 891, 2833, 666, 948, 1453, 2087, 741, 1514, 1983, 543, 1106, 2318, 3347, 609, 1866, 563, 31636, 568, 1776, 1858, 1141, 1453, 609, 10295, 1419, 6560, 269, 1358, 949, 723, 7411, 11589, 741, 4555, 543, 4606, 8231, 958, 267, 3056, 547, 17140, 543, 21390, 269, 3371, 779, 1141, 1148, 3797, 2501, 538, 281, 621, 3091, 513, 1875, 31646, 1106, 540, 2792, 563, 7437, 11247, 267, 1453, 666, 2769, 741, 4835, 1158, 267, 799, 949, 6382, 581, 2182, 547, 24808, 269, 634, 13309, 666, 1287, 4612, 891, 7215, 267, 29000, 538, 1620, 519, 1126, 779, 2219, 1184, 269, 901, 3860, 1106, 540, 2792, 666, 13468, 519, 2604, 540, 11913, 2792, 543, 5000, 513, 1126, 547, 1930, 909, 269, 5047, 267, 621, 666, 6536, 1582, 18221, 543, 1582, 22325, 267, 2629, 3344, 540, 2790, 1072, 563, 6624, 1453, 609, 10295, 723, 10444, 4393, 2152, 269, 1358, 949, 581, 16136, 17567, 547, 1978, 18282, 267, 4992, 267, 610, 8279, 267, 799, 666, 1291, 547, 9636, 610, 1256, 11605, 269, 12056, 609, 1148, 2326, 267, 3226, 538, 513, 10444, 7888, 1604, 267, 666, 4217, 538, 10444, 5610, 563, 7628, 1148, 3797, 267, 1453, 7237, 1585, 18282, 267, 971, 607, 519, 5347, 1145, 540, 5862, 267, 519, 2571, 1145, 540, 10036, 267, 610, 519, 11315, 1145, 540, 5070, 17549, 269, 26431, 267, 789, 1831, 811, 6899, 609, 1114, 10444, 11378, 267, 799, 666, 948, 873, 4383, 741, 10444, 22740, 8481, 1732, 269, 901, 10444, 2861, 5872, 568, 711, 1175, 9354, 267, 855, 849, 7512, 3408, 543, 5876, 563, 1103, 513, 1158, 1141, 1913, 666, 1419, 1831, 11566, 267, 1148, 3797, 2488, 513, 1365, 924, 585, 1453, 609, 10295, 269, 898, 12857, 513, 1893, 540, 4778, 267, 5546, 267, 543, 18282, 267, 799, 666, 581, 11212, 3532, 538, 28043, 2792, 10616, 267, 7393, 1514, 1983, 267, 543, 5009, 10444, 5610, 269, 2755, 811, 1382, 568, 2877, 547, 4628, 1174, 1148, 3797, 779, 1764, 593, 1453, 609, 10295, 267, 519, 1699, 4681, 616, 9621, 543, 17362, 519, 1259, 585, 2417, 3408, 538, 713, 2361, 563, 30999, 1575, 1049, 3797, 543, 1148, 3797, 616, 1079, 3982, 3029, 540, 3797, 602, 616, 6225, 585, 26144, 1453, 267, 1498, 789, 1935, 519, 1126, 779, 1646, 689, 1114, 7285, 269, 5637, 2832, 547, 2087, 519, 2298, 540, 1272, 543, 3986, 519, 7207, 540, 1453, 609, 20284, 267, 855, 789, 1445, 593, 1114, 2127, 540, 1646, 563, 30999, 1575, 1049, 3797, 585, 26144, 1453, 3335, 6212, 593, 5355, 3232, 2713, 1983, 267, 971, 607, 19703, 267, 4189, 267, 543, 25462, 269, 898, 849, 9607, 10444, 5610, 2152, 267, 29000, 1453, 538, 5883, 741, 22740, 8481, 2509, 1585, 10444, 15128, 269, 27706, 16293, 946, 513, 3099, 540, 2553, 267, 1519, 10444, 5610, 3797, 267, 5386, 5179, 1983, 1646, 267, 543, 8965, 2994, 267, 547, 948, 1453, 1831, 811, 4830, 543, 6198, 538, 741, 3232, 2729, 563, 4002, 519, 824, 1688, 267, 1148, 3797, 30211, 811, 593, 3929, 1134, 5630, 543, 4082, 269, 634, 3860, 6575, 1031, 538, 1148, 3797, 4196, 607, 513, 5420, 585, 26144, 1453, 547, 2769, 741, 4555, 543, 4664, 267, 799, 789, 1522, 6560, 609, 8231, 958, 269, 3203, 16293, 3391, 1453, 538, 3695, 741, 4606, 998, 1148, 267, 4543, 873, 547, 1174, 543, 4383, 741, 4664, 1732, 563, 13828, 3029, 540, 3797, 666, 3648, 2087, 519, 2298, 540, 1272, 585, 1453, 609, 10295, 269, 2755, 17163, 3797, 2337, 1453, 609, 519, 4052, 3344, 540, 3232, 2713, 267, 1148, 3797, 9607, 741, 3929, 2115, 267, 1818, 873, 14911, 4485, 538, 20284, 2126, 563, 2304, 1148, 13309, 4249, 513, 2629, 1909, 538, 28720, 1148, 3797, 585, 26144, 1453, 269, 3203, 16293, 616, 8036, 4648, 945, 1174, 519, 9354, 946, 540, 1148, 543, 922, 1761, 547, 12115, 543, 2981, 269, 1358, 1683, 513, 2922, 543, 14637, 1604, 585, 1453, 609, 10295, 547, 2263, 741, 4606, 543, 1118, 2631, 540, 741, 1158, 563, 7628, 1148, 3797, 7886, 267, 519, 1148, 13309, 7512, 519, 1126, 547, 4497, 538, 1148, 6194, 269, 1358, 798, 711, 1445, 593, 519, 7499, 6364, 855, 519, 1184, 540, 5137, 269, 634, 13309, 32625, 519, 1126, 779, 2623, 267, 4664, 267, 543, 4555, 1282, 519, 1148, 6194, 1184, 267, 11543, 4030, 883, 741, 2790, 1533, 563, 9209, 16293, 7520, 2792, 1063, 519, 1126, 543, 741, 11247, 269, 1358, 4217, 519, 1126, 538, 16208, 741, 1378, 1148, 267, 4543, 873, 547, 1174, 741, 4664, 543, 4555, 1732, 269, 3958, 267, 789, 3391, 519, 1126, 538, 1210, 1148, 607, 513, 1106, 540, 1582, 22325, 267, 8716, 873, 547, 6655, 741, 4606, 543, 2833, 998, 4778, 267, 5546, 267, 543, 18282, 563, 1103, 9759, 267, 606, 1148, 13309, 16877, 1453, 609, 10295, 547, 2769, 2933, 21176, 267, 7551, 7393, 741, 3929, 1134, 5630, 543, 1582, 268, 24483, 563, 763, 1379, 540, 1148, 3797, 538, 5355, 519, 2790, 1072, 540, 1453, 609, 10295, 568, 26837, 4192, 269, 3203, 3797, 512, 2355, 883, 519, 3308, 267, 28241, 267, 543, 3860, 3344, 540, 2792, 267, 9306, 513, 2189, 9354, 4316, 585, 1453, 945, 6560, 609, 2757, 3029, 540, 2792, 543, 1514, 5872, 563, 5804, 7393, 1514, 1983, 267, 5355, 2792, 267, 29000, 10444, 5610, 267, 547, 3246, 513, 3760, 585, 1582, 22325, 267, 1148, 3797, 814, 2789, 2640, 585, 1453, 593, 519, 10295, 8552, 269, 2755, 621, 949, 711, 5372, 824, 3029, 540, 3797, 899, 17163, 3797, 267, 621, 6157, 2488, 606, 1898, 7110, 602, 9607, 519, 3929, 2115, 540, 26144, 1453, 563, 4415, 519, 5583, 540, 606, 1148, 13309, 267, 1453, 1451, 547, 6330, 741, 4664, 543, 4555, 267, 1210, 1148, 607, 513, 1893, 269, 1306, 649, 3136, 547, 2263, 543, 5531, 811, 2963, 2861, 1382, 593, 519, 1764, 540, 1148, 3797, 267, 621, 6585, 1390, 9153, 607, 513, 9354, 1907, 547, 1489, 543, 3986, 519, 2790, 1072, 540, 1453, 609, 10295, 269, 3203, 267, 538, 922, 16221, 3029, 267, 666, 8197, 4196, 607, 513, 8115, 267, 8220, 1453, 609, 10295, 547, 519, 1158, 267, 543, 811, 11932, 267, 547, 741, 6418, 30441, 269, 0, 25147, 891, 476, 1839, 6171, 661, 11656, 3536, 538, 707, 2732, 585, 2960, 543, 2949, 1072, 281, 10568, 10351, 3282, 267, 30011, 5452, 267, 30646, 267, 25636, 267, 22156, 267, 24113, 267, 737, 12685, 604, 8816, 267, 27335, 267, 13099, 11535, 267, 18085, 531, 537, 701, 267, 3284, 878, 582, 267, 10538, 267, 31577, 267, 6653, 15837, 267, 6797, 267, 4212, 267, 22481, 267, 11350, 14723, 267, 22282, 267, 29761, 28667, 267, 2458, 731, 16719, 267, 607, 32651, 267, 25989, 267, 543, 22648, 269, 1452, 3536, 616, 14095, 609, 5567, 543, 14434, 602, 666, 4324, 707, 1560, 538, 3875, 2081, 563, 3963, 12192, 661, 1772, 12830, 1280, 2659, 10791, 454, 20524, 519, 476, 1839, 1655, 6171, 661, 11656, 3536, 596, 1058, 1331, 538, 707, 2732, 547, 1489, 2949, 1072, 543, 1134, 5630, 269, 3245, 30646, 543, 30011, 5452, 547, 19146, 15606, 543, 22156, 267, 891, 2067, 2959, 540, 6171, 661, 1683, 3875, 2640, 585, 707, 1560, 563, 24791, 661, 568, 513, 4105, 8770, 602, 4249, 513, 2629, 1909, 538, 4509, 1434, 1072, 269, 901, 3532, 15934, 2337, 2149, 938, 2281, 689, 3441, 3361, 676, 1863, 18119, 267, 799, 666, 1291, 547, 5312, 3676, 971, 607, 2295, 2068, 267, 2860, 267, 543, 2085, 5829, 31004, 23979, 269, 12192, 661, 849, 7028, 938, 4761, 1062, 267, 2337, 538, 519, 5250, 540, 2699, 1973, 2281, 267, 543, 8992, 2635, 2960, 543, 4552, 269, 26451, 6171, 661, 11656, 3536, 538, 707, 2732, 568, 1271, 547, 2327, 596, 2743, 707, 3232, 4170, 543, 28231, 922, 2640, 563, 19119, 2986, 12192, 661, 454, 24791, 661, 3091, 513, 2647, 2039, 540, 1072, 2640, 1813, 547, 922, 15934, 3601, 269, 2368, 540, 922, 1883, 5383, 1331, 912, 272, 269, 13363, 338, 1996, 19842, 2566, 281, 12192, 661, 2337, 547, 9243, 1125, 5739, 1863, 18119, 267, 7303, 19842, 2566, 543, 4227, 519, 1981, 540, 5312, 3676, 563, 273, 269, 4675, 2176, 2295, 1072, 281, 1635, 4227, 519, 16617, 540, 25928, 630, 21112, 264, 8501, 267, 6171, 661, 2337, 2226, 2295, 1072, 543, 24506, 519, 1981, 540, 2295, 2068, 563, 274, 269, 13661, 1734, 4761, 1599, 281, 12192, 661, 4249, 513, 2629, 1909, 538, 14304, 938, 4761, 1062, 267, 4543, 547, 4339, 1055, 5563, 543, 3676, 563, 275, 269, 8871, 4925, 2635, 2960, 543, 4552, 281, 634, 15934, 3601, 540, 6171, 661, 2149, 519, 2960, 689, 3441, 3361, 676, 2825, 2188, 543, 948, 2226, 922, 22786, 267, 4611, 538, 8902, 2960, 543, 4552, 563, 276, 269, 11087, 806, 519, 1981, 540, 2085, 5829, 31004, 23979, 281, 12192, 661, 814, 1044, 1336, 547, 2569, 519, 1981, 540, 2085, 5829, 31004, 23979, 267, 513, 3056, 2014, 540, 5075, 2530, 538, 4587, 4079, 563, 306, 1545, 2986, 12192, 661, 454, 1103, 6984, 6171, 661, 11656, 3536, 538, 707, 3232, 2732, 568, 1898, 547, 4180, 596, 2743, 519, 5227, 3232, 6981, 269, 2368, 540, 519, 1283, 2959, 540, 6171, 661, 1331, 912, 272, 269, 5453, 520, 10351, 3282, 454, 273, 269, 6129, 17810, 5452, 454, 277, 269, 3212, 534, 583, 7423, 454, 1015, 269, 13852, 18717, 454, 2005, 568, 1271, 547, 4063, 602, 6171, 661, 568, 513, 3170, 30320, 6171, 267, 865, 10438, 621, 609, 513, 2707, 540, 2635, 3170, 11226, 538, 922, 10338, 563, 27775, 2105, 11545, 2271, 820, 454, 763, 5227, 3232, 6981, 540, 6171, 661, 9775, 4470, 593, 2085, 543, 4008, 269, 634, 2817, 23941, 540, 2657, 630, 25712, 295, 264, 15565, 519, 1739, 3232, 6981, 2157, 912, 272, 269, 5606, 1218, 630, 271, 1700, 277, 3275, 2567, 476, 275, 8406, 454, 273, 269, 5606, 1218, 630, 278, 268, 1321, 3275, 2567, 476, 276, 8406, 454, 274, 269, 5753, 630, 272, 268, 274, 1296, 2567, 476, 277, 8406, 454, 275, 269, 5753, 630, 275, 1700, 279, 1296, 2567, 476, 278, 8406, 454, 276, 269, 27258, 630, 280, 1700, 1724, 1296, 2567, 476, 1556, 8406, 454, 277, 269, 21989, 630, 280, 1700, 1724, 1296, 2567, 476, 1556, 8406, 454, 278, 269, 631, 2297, 630, 1691, 1296, 543, 4587, 2567, 476, 1428, 8406, 454, 279, 269, 12339, 2297, 630, 1691, 1296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5365, 602, 594, 1616, 547, 2673, 713, 1055, 269, 1809, 596, 1810, 1406, 723, 547, 1404, 2059, 269, 9320, 596, 3580, 2161, 267, 2048, 2467, 779, 1945, 3116, 594, 1616, 547, 2307, 596, 10200, 1411, 723, 547, 960, 909, 547, 1434, 25742, 3034, 2467, 568, 1945, 7184, 21042, 9713, 827, 10647, 513, 15146, 6643, 609, 513, 8059, 626, 945, 814, 6594, 267, 5310, 811, 982, 4896, 267, 875, 649, 2911, 593, 519, 15146, 269, 8616, 1256, 2480, 515, 6921, 4752, 267, 606, 900, 518, 7978, 7548, 693, 17459, 6369, 267, 568, 11688, 26938, 547, 7682, 602, 972, 616, 1022, 5318, 3604, 1063, 875, 649, 2911, 593, 519, 6049, 543, 875, 649, 2911, 3068, 547, 3068, 269, 968, 2005, 568, 606, 9542, 547, 519, 9000, 540, 3308, 1569, 547, 835, 1776, 267, 855, 621, 779, 7168, 1454, 519, 1482, 12204, 540, 2962, 538, 519, 1482, 12204, 540, 1931, 3034, 1432, 1500, 15146, 6643, 865, 4277, 547, 835, 540, 519, 1292, 28738, 6002, 540, 968, 935, 951, 1049, 2079, 892, 2443, 513, 9015, 602, 5654, 585, 519, 2620, 3889, 538, 938, 4948, 2911, 2443, 729, 711, 602, 621, 6719, 930, 12050, 2736, 689, 2757, 1480, 2792, 267, 855, 602, 621, 568, 267, 538, 9759, 267, 6986, 2911, 267, 711, 13572, 676, 519, 2303, 633, 16145, 267, 519, 23972, 540, 513, 1688, 267, 513, 1268, 779, 1560, 18165, 269, 590, 14823, 998, 7366, 540, 3108, 540, 4890, 6592, 7125, 689, 606, 5044, 540, 2959, 267, 2480, 515, 6921, 4752, 22759, 3585, 26819, 539, 519, 6384, 538, 1404, 950, 1079, 1004, 945, 3112, 1294, 1142, 824, 2911, 281, 519, 2490, 2921, 267, 519, 968, 1721, 1027, 2990, 7816, 892, 630, 7474, 4090, 538, 513, 6643, 950, 835, 30877, 972, 814, 1044, 513, 3765, 24483, 2443, 968, 296, 2219, 596, 5921, 2560, 892, 2443, 543, 519, 5171, 1590, 979, 18807, 538, 942, 547, 968, 25785, 892, 519, 17187, 8142, 1916, 13706, 267, 585, 1383, 267, 519, 968, 935, 951, 1049, 4098, 1848, 589, 968, 20123, 328, 13109, 540, 6009, 892, 616, 2944, 538, 1346, 1101, 8090, 267, 2480, 515, 6921, 4752, 3081, 269, 1703, 779, 2241, 8446, 2443, 1498, 711, 1419, 865, 2241, 269, 634, 1959, 19907, 14753, 1101, 269, 968, 15916, 9495, 968, 2005, 779, 803, 2223, 3081, 519, 824, 269, 1656, 972, 621, 568, 281, 634, 16912, 1632, 540, 25055, 267, 519, 20772, 630, 528, 7287, 264, 602, 835, 786, 581, 6444, 269, 670, 13273, 1406, 649, 782, 267, 950, 1404, 2685, 630, 528, 26490, 1947, 264, 6679, 513, 1289, 609, 519, 1913, 968, 2005, 779, 803, 2223, 5433, 519, 29097, 540, 1373, 4280, 267, 968, 8005, 779, 2048, 1889, 685, 9495, 2334, 779, 15991, 519, 1439, 540, 519, 960, 269, 1703, 779, 519, 968, 516, 6247, 3191, 540, 519, 2078, 892, 12462, 2005, 779, 1044, 6502, 2094, 649, 14437, 25257, 607, 1134, 607, 519, 13994, 1637, 540, 519, 1808, 2601, 585, 519, 1289, 267, 799, 2480, 515, 6921, 4752, 3081, 1419, 786, 581, 28263, 676, 606, 19039, 766, 971, 607, 968, 636, 892, 2899, 519, 3355, 16990, 1845, 723, 1044, 7006, 10234, 609, 269, 634, 1289, 518, 267, 646, 3081, 267, 1419, 786, 2119, 547, 8897, 883, 713, 3483, 1510, 5373, 3768, 826, 3007, 547, 621, 563, 4407, 972, 616, 6157, 3604, 1063, 6049, 7391, 543, 3068, 3562, 19904, 2792, 2443, 593, 519, 6049, 267, 3623, 1878, 4043, 547, 581, 10156, 267, 543, 968, 1478, 331, 2355, 892, 666, 581, 811, 7928, 1317, 649, 666, 1406, 1294, 602, 519, 824, 1268, 568, 8600, 547, 3717, 1765, 6343, 568, 1034, 11495, 568, 875, 1454, 540, 519, 6891, 543, 1599, 540, 1514, 5872, 3470, 1161, 593, 519, 6049, 267, 1256, 4174, 5529, 540, 3425, 685, 3532, 26068, 10291, 563, 28490, 594, 10393, 6430, 594, 1616, 547, 3866, 596, 909, 267, 594, 723, 1100, 1259, 540, 6616, 2436, 596, 2461, 11112, 267, 543, 596, 723, 1100, 2856, 1946, 594, 6557, 10912, 269, 1284, 723, 547, 1930, 5576, 337, 7238, 3429, 518, 779, 4216, 1169, 942, 267, 2348, 513, 6643, 547, 4137, 856, 2436, 621, 779, 15528, 547, 723, 513, 6643, 3034, 1103, 606, 2038, 7658, 20813, 17182, 3635, 538, 476, 3422, 274, 2443, 1305, 909, 609, 519, 2856, 540, 3246, 513, 3381, 3905, 1899, 1063, 519, 6519, 5600, 543, 519, 918, 8145, 4802, 2443, 519, 4659, 585, 16470, 1323, 26087, 525, 1336, 602, 2043, 9053, 6158, 593, 519, 6049, 547, 3381, 5872, 269, 4329, 2090, 7000, 2370, 3017, 1063, 519, 15146, 543, 3068, 3562, 19904, 3346, 538, 6104, 5109, 513, 3099, 540, 4247, 267, 8151, 689, 8223, 547, 1966, 6061, 269, 23008, 626, 3627, 645, 2795, 543, 824, 3173, 723, 3254, 602, 5396, 593, 513, 6049, 1289, 3622, 666, 3313, 519, 824, 10584, 779, 5198, 269, 769, 2110, 267, 1247, 649, 1522, 2543, 519, 6049, 607, 606, 791, 1478, 1639, 1106, 540, 2792, 267, 621, 811, 610, 1447, 4991, 519, 2816, 2944, 563, 3719, 519, 1289, 3294, 814, 711, 1044, 4761, 547, 519, 4720, 540, 2029, 269, 634, 4367, 540, 1289, 518, 9517, 7006, 10234, 609, 519, 6284, 1966, 630, 2288, 594, 993, 1869, 3006, 1376, 1194, 547, 5873, 519, 6049, 12943, 609, 968, 20756, 267, 8751, 25257, 1247, 5985, 11436, 5189, 606, 7357, 1007, 1599, 585, 23761, 281, 9591, 4087, 630, 1156, 576, 519, 1989, 908, 1184, 542, 540, 968, 2171, 1175, 15354, 892, 610, 968, 296, 6557, 538, 1899, 693, 519, 4871, 26158, 634, 4417, 540, 552, 17733, 543, 1257, 6835, 2443, 835, 17574, 267, 8659, 267, 741, 3483, 3622, 25250, 856, 538, 4434, 267, 27229, 1447, 703, 28424, 630, 338, 1511, 585, 519, 533, 532, 540, 519, 4563, 29155, 787, 264, 2443, 1500, 519, 6049, 1289, 3100, 811, 6101, 267, 609, 2943, 1776, 1599, 16207, 883, 519, 6679, 269, 1306, 1849, 633, 16399, 7074, 538, 1010, 654, 1600, 2376, 281, 968, 2252, 594, 10393, 6430, 594, 1616, 547, 3866, 596, 909, 267, 594, 723, 1100, 1259, 540, 6616, 2436, 596, 2461, 11112, 267, 543, 596, 723, 1100, 2856, 1946, 594, 6557, 10912, 269, 1284, 723, 547, 1930, 5576, 337, 7238, 3429, 518, 779, 4216, 1169, 942, 267, 2348, 513, 6643, 547, 4137, 856, 2436, 621, 779, 15528, 547, 723, 513, 6643, 3034, 29012, 267, 972, 568, 513, 2631, 602, 1762, 1004, 2221, 267, 609, 865, 1082, 824, 2081, 547, 3251, 538, 5905, 267, 1265, 519, 1360, 2497, 540, 519, 6049, 1289, 26568, 269, 968, 2791, 4076, 3893, 547, 1205, 519, 2898, 669, 527, 7302, 520, 538, 972, 2223, 835, 751, 343, 614, 5143, 25288, 4825, 339, 773, 538, 519, 1576, 540, 1200, 1382, 593, 5985, 6049, 3755, 269, 3502, 532, 751, 343, 1562, 685, 771, 320, 977, 542, 609, 7125, 267, 4825, 339, 773, 5206, 267, 968, 2467, 729, 513, 991, 585, 1507, 2911, 267, 3623, 1878, 941, 30849, 267, 543, 18138, 513, 1289, 1223, 581, 2352, 269, 2560, 8125, 1878, 543, 11688, 14591, 616, 14648, 607, 6209, 267, 865, 602, 972, 568, 2370, 942, 585, 519, 2170, 1218, 547, 20982, 1848, 634, 2497, 540, 519, 1289, 3138, 15701, 865, 1804, 602, 1247, 972, 568, 968, 7224, 2930, 2601, 1946, 6049, 7125, 1223, 711, 581, 1031, 585, 8766, 6835, 971, 607, 2048, 16591, 9519, 16224, 892, 713, 729, 16363, 5180, 569, 30849, 269, 898, 779, 607, 952, 751, 343, 1562, 941, 546, 617, 3101, 519, 7658, 874, 4577, 4528, 540, 1018, 8613, 635, 539, 1014, 543, 5856, 32632, 6424, 7125, 968, 1492, 3247, 543, 10004, 2223, 602, 7237, 593, 519, 8265, 1141, 596, 8910, 4782, 547, 1175, 2161, 968, 31435, 892, 543, 1832, 6972, 563, 3086, 602, 7658, 10746, 616, 12303, 10876, 267, 4767, 634, 1715, 3840, 8648, 267, 968, 974, 548, 7483, 25654, 616, 267, 3833, 6923, 267, 4742, 8449, 7294, 1848, 634, 1032, 729, 476, 2735, 277, 630, 15290, 513, 1906, 1004, 1185, 1286, 11436, 855, 519, 5985, 6049, 729, 711, 2943, 4922, 7856, 1040, 853, 20891, 5944, 267, 621, 1223, 723, 1044, 2063, 3018, 2443, 610, 621, 1223, 723, 1044, 1472, 476, 5002, 271, 267, 950, 267, 519, 4436, 10404, 543, 14544, 19124, 18148, 7074, 267, 519, 6049, 8452, 538, 1010, 12670, 7622, 267, 609, 606, 968, 531, 1301, 5365, 602, 2367, 3166, 711, 1152, 1250, 3237, 685, 544, 1342, 599, 23040, 855, 519, 3140, 5736, 602, 896, 342, 4710, 543, 17158, 539, 713, 521, 625, 3279, 3034, 1103, 476, 2735, 277, 267, 519, 5767, 6521, 729, 968, 322, 718, 7996, 2223, 799, 7225, 603, 9410, 3379, 547, 968, 9227, 693, 513, 15483, 18571, 5428, 543, 711, 9878, 3007, 547, 519, 1268, 596, 2461, 609, 267, 7996, 585, 513, 811, 1271, 1268, 1848, 3767, 267, 540, 1576, 267, 607, 649, 1796, 693, 602, 1482, 15483, 18571, 5428, 267, 535, 573, 1326, 532, 609, 938, 16389, 2443, 799, 267, 5103, 10355, 3168, 899, 1945, 2966, 585, 6340, 883, 267, 649, 711, 1152, 2911, 593, 267, 855, 547, 630, 8999, 3000, 532, 519, 21236, 779, 5907, 598, 857, 10235, 267, 11184, 328, 267, 585, 8846, 610, 519, 4365, 264, 2443, 519, 14443, 687, 602, 2899, 7018, 593, 519, 15146, 1899, 1631, 2049, 538, 1483, 942, 543, 2230, 563, 2171, 723, 1044, 31361, 1154, 827, 519, 6049, 585, 1296, 267, 1256, 607, 621, 814, 6410, 6251, 543, 6251, 547, 721, 2443, 2899, 2124, 326, 730, 547, 519, 1394, 10689, 3118, 267, 968, 24992, 519, 18660, 32028, 8423, 704, 543, 519, 3154, 10309, 2223, 607, 538, 18148, 779, 1554, 267, 1631, 538, 938, 1394, 17927, 269, 1809, 621, 568, 2352, 547, 2161, 267, 607, 621, 4667, 547, 581, 10641, 532, 2899, 811, 607, 513, 2686, 1106, 267, 2436, 519, 15146, 814, 25340, 4957, 721, 538, 1022, 1259, 563, 265, 2608, 27661, 25402, 966, 6387, 321, 2830, 568, 519, 2278, 540, 519, 476, 1220, 279, 1433, 29853, 281, 4208, 1284, 20000, 519, 10158, 1284, 1684, 630, 663, 1548, 898, 590, 904, 6168, 2974, 1040, 1261, 568, 4867, 693, 960, 593, 1411, 2904, 4746, 6145, 267, 513, 1433, 827, 519, 13655, 540, 1480, 7375, 563, 20124, 21806, 540, 674, 5585, 337, 270, 22013, 7773, 24697, 23720, 0, 2304, 18914, 568, 513, 18202, 5179, 6174, 602, 568, 8246, 585, 3560, 269, 26597, 8847, 2291, 585, 1313, 657, 267, 2705, 519, 5354, 540, 873, 2874, 540, 513, 2185, 2914, 31856, 2511, 267, 27939, 835, 547, 5216, 2043, 267, 607, 1134, 607, 5665, 593, 4155, 1811, 269, 1452, 26873, 616, 1031, 5097, 547, 3560, 1004, 269, 901, 2495, 568, 835, 540, 519, 1034, 4122, 1500, 946, 540, 2221, 269, 9406, 1934, 616, 930, 811, 1344, 7282, 519, 18914, 269, 9406, 1934, 616, 930, 540, 519, 1034, 8912, 2010, 540, 6472, 269, 5903, 539, 1934, 616, 930, 8912, 1806, 563, 288, 6517, 543, 14903, 568, 513, 4990, 540, 18914, 269, 898, 568, 513, 1582, 1790, 1886, 8215, 1286, 602, 568, 2813, 547, 3142, 519, 9920, 267, 513, 19625, 540, 17631, 267, 543, 513, 11658, 7274, 540, 4452, 269, 1452, 26873, 666, 581, 1336, 538, 782, 5546, 543, 7306, 267, 543, 666, 581, 476, 273, 267, 1614, 267, 610, 476, 275, 14743, 269, 4256, 27668, 1949, 3335, 1331, 6418, 8781, 9817, 267, 2705, 789, 666, 849, 581, 11517, 610, 3167, 269, 634, 1379, 6364, 540, 513, 1286, 9775, 3648, 267, 689, 896, 15823, 7504, 1379, 585, 4587, 8747, 547, 936, 476, 1220, 7504, 12741, 585, 519, 1034, 2500, 3631, 563, 288, 1286, 568, 513, 1582, 1790, 1886, 8215, 18914, 602, 814, 513, 2582, 610, 2789, 14743, 269, 1358, 3335, 561, 1872, 513, 6174, 9920, 267, 513, 19625, 540, 14538, 267, 607, 1134, 607, 513, 8766, 7274, 540, 4452, 269, 634, 10081, 666, 581, 1614, 610, 811, 14743, 267, 607, 1134, 607, 723, 1114, 27668, 1949, 267, 971, 607, 3154, 267, 9252, 267, 610, 5122, 1379, 269, 4256, 1379, 3977, 15320, 267, 1932, 267, 689, 896, 476, 2004, 7504, 12741, 585, 519, 9998, 6272, 547, 3152, 982, 476, 1220, 7504, 12741, 585, 519, 1034, 2413, 607, 1134, 607, 5499, 6272, 563, 2304, 18914, 568, 513, 1582, 1790, 1886, 8215, 1286, 602, 568, 5078, 585, 21409, 593, 4155, 1811, 269, 1703, 616, 1585, 3631, 543, 849, 10305, 269, 1358, 666, 581, 1079, 2914, 31856, 539, 610, 1614, 2914, 31856, 539, 267, 607, 1134, 607, 789, 616, 13324, 676, 513, 2039, 540, 1585, 2409, 267, 9967, 540, 9703, 8781, 9817, 267, 9252, 9817, 267, 610, 3167, 16546, 269, 2368, 1313, 657, 723, 513, 1427, 847, 762, 32072, 269, 4256, 1379, 15320, 689, 896, 476, 2004, 7504, 12741, 538, 2025, 8747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7103, 269, 24538, 15969, 616, 1031, 547, 6861, 519, 19498, 602, 3262, 13663, 630, 2304, 641, 515, 956, 1040, 20996, 12086, 5116, 2066, 12555, 546, 9662, 948, 547, 2061, 519, 23425, 540, 519, 25658, 602, 10141, 5576, 626, 657, 5448, 544, 753, 18223, 267, 513, 26220, 6366, 11988, 563, 291, 1047, 848, 6604, 267, 1852, 267, 543, 16701, 1709, 454, 7093, 3685, 568, 519, 1101, 1899, 540, 8878, 1996, 2068, 269, 2311, 2547, 2185, 15324, 2553, 616, 2139, 585, 946, 538, 519, 6604, 540, 2068, 538, 606, 3662, 2551, 269, 2290, 568, 519, 17181, 540, 1757, 894, 8069, 540, 2068, 689, 1808, 13664, 2127, 267, 610, 31741, 269, 589, 2034, 15324, 1907, 18252, 1852, 2409, 971, 607, 31331, 267, 2825, 1852, 267, 543, 3114, 8069, 547, 2149, 1808, 3662, 5095, 689, 21049, 3676, 267, 3676, 7363, 1459, 538, 606, 1858, 269, 634, 3791, 15324, 2268, 4145, 519, 2527, 2069, 540, 1004, 827, 2068, 6604, 269, 7053, 267, 2038, 5868, 540, 4576, 1851, 2818, 540, 606, 3662, 2551, 568, 1271, 865, 602, 2068, 19183, 798, 711, 1831, 1932, 4049, 543, 865, 602, 4299, 2831, 666, 581, 811, 3362, 7307, 543, 5701, 563, 5226, 5875, 710, 9789, 19231, 540, 3350, 540, 2831, 7092, 689, 610, 6534, 547, 5563, 971, 607, 17824, 564, 784, 826, 543, 16150, 773, 630, 514, 13265, 1070, 3723, 7146, 2173, 1926, 2068, 630, 514, 12418, 1070, 543, 29811, 630, 514, 5243, 28931, 529, 835, 540, 519, 9510, 2645, 540, 15324, 4915, 269, 898, 729, 4294, 547, 30042, 2831, 607, 2038, 607, 4936, 2053, 269, 634, 10661, 540, 3486, 13184, 31741, 538, 519, 2136, 2276, 538, 476, 6245, 271, 3177, 585, 519, 8066, 540, 782, 16865, 12418, 267, 13265, 267, 543, 2220, 710, 693, 519, 2823, 540, 7127, 585, 476, 3445, 267, 476, 1428, 267, 543, 476, 1428, 2395, 267, 6606, 269, 769, 713, 1259, 267, 971, 3676, 607, 715, 23879, 6798, 13265, 2068, 267, 1147, 571, 267, 543, 5563, 3361, 676, 25362, 3250, 320, 5283, 527, 18424, 941, 17515, 610, 16934, 689, 519, 2136, 2276, 267, 855, 3486, 31741, 7496, 1705, 711, 2061, 519, 7127, 540, 17824, 564, 784, 826, 267, 16150, 773, 267, 543, 519, 8743, 681, 1222, 545, 31525, 639, 2479, 1206, 328, 267, 799, 568, 513, 15298, 585, 1896, 3662, 3676, 269, 2201, 519, 824, 1688, 267, 1279, 3856, 31741, 540, 782, 5243, 10024, 4279, 6628, 814, 1044, 2500, 2094, 922, 22612, 538, 476, 4489, 280, 630, 1492, 31741, 849, 2882, 7314, 1040, 898, 568, 2009, 602, 8484, 949, 10460, 1007, 2042, 3823, 13184, 1673, 1047, 848, 31741, 2094, 1082, 2068, 19057, 630, 324, 3052, 1421, 7786, 543, 8290, 264, 949, 581, 18417, 4547, 676, 7077, 883, 513, 2197, 563, 22709, 31331, 607, 513, 15324, 4480, 814, 519, 5413, 540, 3850, 519, 11259, 3662, 5191, 540, 3350, 267, 7429, 2825, 1852, 267, 538, 799, 519, 3662, 568, 16876, 547, 519, 6417, 1858, 282, 31331, 949, 267, 2705, 267, 1683, 1152, 2110, 24331, 543, 9864, 4027, 269, 7136, 2987, 665, 1637, 2553, 1996, 3676, 971, 607, 1715, 31069, 2068, 538, 17944, 543, 1253, 655, 704, 538, 544, 1074, 543, 5243, 723, 1044, 3811, 269, 10960, 3676, 723, 1044, 15286, 676, 2409, 5473, 2825, 1852, 267, 1519, 519, 5826, 540, 2922, 1216, 7727, 267, 519, 31978, 545, 12871, 540, 3662, 608, 920, 618, 267, 2011, 19455, 267, 11641, 1852, 267, 543, 519, 6454, 540, 3662, 8027, 269, 2290, 1808, 2825, 1982, 267, 1572, 519, 15409, 2275, 2788, 1790, 523, 1062, 267, 3322, 6296, 3350, 540, 519, 23445, 547, 2057, 513, 5834, 540, 1808, 13596, 538, 873, 269, 4033, 3292, 4125, 519, 13345, 540, 13128, 543, 7254, 3202, 14450, 543, 8023, 3937, 543, 5656, 609, 2825, 8060, 269, 634, 946, 540, 3114, 7135, 547, 2061, 4576, 630, 17057, 641, 5268, 2643, 9471, 264, 2882, 513, 3099, 540, 13851, 267, 799, 616, 1031, 547, 6146, 7786, 602, 10141, 3676, 267, 543, 6878, 2901, 1031, 24323, 610, 4294, 547, 519, 3662, 779, 1560, 547, 2061, 519, 6771, 610, 519, 1646, 540, 513, 2068, 269, 1323, 1383, 568, 519, 946, 540, 9829, 517, 29524, 5061, 538, 519, 6704, 1216, 540, 16738, 547, 2061, 9279, 322, 21355, 2670, 630, 5408, 7305, 476, 278, 1040, 7025, 20820, 2409, 538, 519, 16738, 2872, 723, 8507, 538, 519, 1034, 3608, 1797, 540, 16738, 2504, 2919, 3976, 2484, 563, 763, 2038, 7020, 540, 513, 2068, 538, 513, 2551, 540, 2831, 12544, 23636, 540, 12418, 267, 585, 1383, 28934, 3226, 3730, 538, 9013, 1978, 5312, 11763, 3676, 267, 971, 607, 15958, 4345, 267, 20015, 3250, 2670, 267, 543, 21061, 267, 607, 1134, 607, 1978, 1875, 17126, 1190, 3676, 971, 607, 11376, 520, 269, 12524, 4255, 9789, 4903, 331, 583, 1588, 1449, 538, 7485, 28262, 2068, 267, 519, 16321, 1529, 514, 2960, 1449, 585, 21061, 267, 519, 6514, 540, 28797, 585, 5798, 540, 1808, 15495, 267, 519, 2168, 543, 3114, 4255, 5340, 593, 5144, 547, 13209, 536, 990, 710, 15958, 4345, 1765, 732, 1031, 585, 519, 2038, 7020, 540, 3676, 538, 606, 3662, 2551, 563, 32325, 540, 2068, 1852, 543, 16701, 1709, 723, 1044, 3811, 538, 1585, 2477, 269, 769, 519, 2136, 2276, 267, 585, 1383, 267, 519, 1449, 7146, 1606, 331, 5922, 4480, 267, 538, 799, 2241, 4255, 616, 1031, 547, 6166, 519, 6228, 540, 30428, 2831, 602, 616, 1287, 1793, 4381, 1229, 267, 814, 1044, 540, 1390, 1871, 538, 9013, 11763, 543, 22420, 3676, 267, 1519, 546, 712, 710, 267, 513, 9006, 699, 531, 2068, 538, 9640, 267, 535, 25717, 20575, 267, 543, 3723, 7146, 2173, 1926, 2068, 538, 12418, 543, 13650, 269, 645, 990, 710, 21061, 814, 1044, 17515, 689, 16862, 267, 18940, 267, 543, 634, 13814, 543, 4389, 547, 513, 1970, 1377, 538, 1585, 824, 2477, 267, 1519, 4279, 6628, 267, 3567, 267, 519, 2136, 2276, 267, 543, 4516, 267, 676, 519, 1449, 7146, 1606, 331, 5922, 1505, 269, 3509, 11763, 3676, 723, 1044, 16701, 5344, 689, 4279, 6628, 1765, 9917, 788, 1093, 343, 267, 678, 5407, 335, 652, 267, 5418, 1755, 335, 12149, 8205, 267, 14189, 619, 267, 543, 29811, 269, 15302, 17515, 689, 5245, 676, 513, 4999, 540, 2409, 1765, 31553, 540, 8069, 602, 4163, 2068, 267, 519, 1449, 7146, 1606, 331, 5922, 4480, 267, 519, 946, 540, 3114, 8069, 267, 543, 267, 811, 5063, 267, 6211, 1852, 24568, 2850, 554, 690, 26601, 5028, 267, 678, 5407, 335, 652, 267, 16150, 773, 267, 14189, 619, 267, 1147, 571, 267, 29811, 267, 543, 3723, 7146, 2173, 1926, 2068, 563, 1103, 6211, 1852, 267, 14763, 540, 519, 8069, 602, 10141, 519, 2068, 267, 14763, 540, 519, 13111, 3984, 267, 610, 513, 1808, 21313, 616, 5189, 883, 519, 1604, 269, 1403, 513, 2067, 10546, 540, 519, 512, 3553, 572, 8038, 1223, 581, 1336, 267, 585, 1383, 267, 3979, 12008, 19210, 538, 812, 543, 2119, 3966, 657, 558, 15633, 538, 12418, 1223, 581, 6417, 538, 4639, 4000, 269, 21988, 6211, 1852, 540, 519, 3864, 268, 4599, 4226, 2551, 538, 5245, 814, 1044, 12913, 998, 519, 946, 540, 519, 1250, 343, 25959, 2670, 3644, 267, 799, 568, 10299, 676, 19498, 543, 3123, 519, 5250, 540, 23872, 6084, 2293, 269, 4014, 519, 19384, 3043, 15529, 568, 5266, 19448, 26327, 676, 519, 3644, 267, 621, 3123, 4028, 2669, 538, 519, 3864, 15529, 269, 634, 17594, 540, 519, 3864, 15529, 538, 5333, 676, 519, 3644, 729, 10483, 676, 513, 6175, 538, 8743, 25645, 27193, 639, 538, 1004, 267, 11021, 602, 519, 15529, 949, 581, 513, 1713, 13591, 3984, 585, 519, 1757, 894, 8665, 267, 25599, 11089, 807, 598, 528, 4512, 269, 21115, 2346, 768, 338, 267, 606, 1799, 1155, 1106, 540, 519, 8038, 3213, 577, 2993, 3912, 807, 4630, 514, 643, 528, 1314, 267, 723, 1044, 16701, 5344, 538, 519, 2136, 2276, 676, 519, 5305, 540, 811, 982, 476, 274, 267, 1822, 267, 1822, 267, 1822, 10322, 28895, 9038, 563, 291, 1047, 848, 1852, 543, 17594, 3292, 2154, 1082, 10427, 2553, 538, 1840, 547, 5868, 543, 519, 26718, 540, 4299, 2831, 269, 1358, 1331, 281, 519, 1852, 540, 7786, 1634, 547, 10141, 3676, 282, 519, 9316, 540, 3662, 5411, 282, 519, 1646, 998, 1382, 540, 1007, 10368, 4255, 585, 946, 593, 1804, 5095, 282, 519, 16701, 1709, 540, 3662, 2249, 689, 2127, 538, 799, 789, 616, 1634, 547, 10141, 2068, 630, 8368, 476, 1724, 5148, 10322, 16478, 540, 12490, 540, 2831, 1634, 547, 4163, 9100, 3386, 10894, 3676, 282, 543, 2500, 5779, 14791, 563, 347, 27154, 3676, 2356, 16876, 547, 1978, 4525, 540, 519, 1158, 2008, 347, 4067, 4433, 264, 540, 2068, 1475, 534, 2711, 4433, 264, 4299, 1475, 23251, 9084, 1475, 333, 1155, 540, 2068, 2008, 347, 28893, 7504, 19210, 630, 288, 9391, 1070, 1226, 710, 20575, 267, 11641, 529, 1226, 28262, 267, 829, 9188, 773, 330, 974, 1475, 27146, 3320, 9640, 267, 1810, 12399, 267, 544, 2737, 630, 11484, 31531, 18410, 30944, 543, 5243, 10534, 27146, 3320, 4000, 543, 5664, 5101, 282, 12212, 3127, 267, 9031, 1475, 8619, 4310, 676, 519, 589, 9391, 3644, 282, 513, 12119, 2068, 9648, 538, 3735, 4832, 282, 8650, 1106, 267, 3006, 14603, 1369, 2947, 2395, 267, 3322, 7050, 5714, 538, 9641, 282, 2589, 540, 824, 3029, 1331, 13250, 540, 5714, 538, 1560, 19659, 2008, 347, 28893, 2220, 710, 8611, 630, 3008, 293, 1070, 2112, 628, 690, 2068, 267, 27293, 781, 2068, 1475, 1873, 710, 1475, 27146, 3320, 15057, 543, 3162, 4000, 282, 12212, 2342, 1475, 8619, 4310, 676, 519, 6789, 293, 3644, 282, 3810, 21380, 282, 2356, 14603, 282, 20998, 554, 690, 26601, 5028, 538, 4791, 19183, 630, 14683, 8611, 267, 8467, 538, 12042, 7953, 267, 543, 20178, 1137, 2429, 1560, 264, 855, 666, 581, 13747, 676, 8047, 4255, 543, 10072, 540, 519, 3644, 2008, 347, 4186, 698, 1190, 5418, 1755, 335, 12149, 8205, 267, 5761, 20575, 1475, 322, 4490, 267, 10889, 14900, 267, 586, 6545, 267, 13265, 267, 23161, 1475, 22152, 320, 267, 5245, 267, 5607, 267, 2342, 1475, 8619, 4310, 676, 29901, 21182, 2742, 1250, 322, 32403, 282, 10299, 676, 1463, 3662, 3346, 610, 676, 13572, 3615, 282, 606, 8650, 2068, 6721, 16415, 543, 6553, 540, 519, 5761, 16298, 282, 10074, 23696, 1317, 1114, 12490, 540, 519, 11248, 2049, 2429, 519, 1158, 2008, 347, 324, 770, 5032, 8611, 267, 519, 8814, 15633, 267, 10910, 3941, 1014, 2699, 1216, 610, 8743, 8611, 1475, 322, 4490, 267, 3979, 543, 4095, 1216, 10889, 14900, 1475, 23338, 4000, 282, 5101, 4000, 1475, 8619, 4310, 676, 1486, 9926, 15351, 630, 763, 559, 4997, 1612, 9366, 5148, 2356, 14603, 282, 10299, 676, 1614, 24217, 5627, 19800, 282, 2589, 1331, 1164, 8611, 267, 11926, 540, 9726, 15374, 282, 711, 2943, 15286, 3927, 676, 12674, 2008, 347, 20584, 7146, 2173, 1926, 2068, 630, 293, 13270, 1070, 21428, 628, 748, 8611, 267, 513, 1111, 6242, 1475, 322, 4490, 267, 2220, 710, 267, 13265, 267, 23161, 1475, 16447, 4204, 4849, 3345, 3013, 267, 6239, 3013, 267, 1715, 10215, 1475, 8619, 4310, 676, 519, 674, 13270, 3644, 282, 2589, 1331, 1164, 905, 951, 267, 5323, 565, 689, 5023, 267, 1141, 5738, 2873, 543, 21385, 1106, 267, 543, 22917, 8864, 282, 3123, 1390, 2804, 9271, 2429, 1158, 282, 2500, 10074, 2139, 2008, 347, 325, 25717, 20575, 267, 535, 25717, 11641, 1475, 18346, 267, 1519, 17944, 543, 2881, 12399, 1475, 292, 2202, 267, 6239, 543, 5101, 5607, 267, 18335, 267, 3567, 1475, 8619, 4310, 676, 519, 535, 25717, 13807, 6558, 3644, 282, 949, 2014, 1100, 7805, 2589, 282, 7805, 2589, 1331, 3668, 540, 14031, 267, 22224, 2212, 267, 2978, 10696, 7244, 267, 543, 20178, 1645, 2008, 347, 24711, 4248, 267, 26583, 13032, 19210, 1475, 322, 4490, 267, 13265, 267, 23161, 1475, 22152, 320, 630, 338, 4822, 3368, 5148, 28801, 1475, 8619, 4310, 676, 678, 1157, 11089, 807, 630, 290, 578, 323, 6319, 15555, 5364, 1756, 5148, 2068, 814, 8650, 543, 7646, 3029, 282, 2589, 1331, 1216, 538, 519, 9245, 1472, 2295, 543, 538, 519, 5761, 13570, 267, 20178, 1137, 267, 543, 1000, 26677, 2008, 347, 331, 537, 4771, 2192, 630, 299, 296, 1070, 11763, 29363, 3912, 601, 4345, 538, 13265, 267, 1726, 3387, 1782, 2192, 1475, 27146, 3320, 13265, 630, 10193, 12418, 543, 3425, 10534, 23873, 1772, 956, 267, 16231, 6243, 267, 30355, 25474, 267, 6576, 1475, 8619, 4310, 676, 519, 22244, 3644, 282, 10299, 676, 11116, 540, 13265, 8743, 282, 6353, 676, 8611, 267, 20585, 1145, 4553, 676, 10761, 267, 16757, 838, 553, 916, 267, 682, 12686, 32376, 267, 5996, 6160, 687, 267, 543, 2669, 2008, 347, 333, 698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1284, 941, 24584, 930, 20214, 538, 737, 27626, 24588, 267, 855, 4362, 513, 3152, 982, 476, 3199, 260, 2530, 3379, 547, 519, 3140, 3328, 2066, 5111, 476, 2412, 12919, 540, 23795, 689, 519, 8053, 699, 344, 23320, 547, 25844, 601, 4400, 4133, 3034, 4467, 13586, 593, 519, 8909, 1533, 540, 12602, 693, 519, 8053, 699, 344, 18686, 267, 8053, 699, 344, 2861, 7286, 2257, 3868, 1807, 543, 14015, 23031, 18536, 28732, 1767, 912, 2108, 300, 2632, 699, 344, 568, 519, 4214, 540, 513, 15977, 17146, 269, 898, 779, 899, 606, 8733, 10514, 4682, 1055, 269, 634, 2025, 2389, 574, 619, 1810, 1406, 4685, 1934, 1454, 15042, 1317, 621, 779, 1932, 1244, 7675, 267, 543, 721, 19920, 3180, 593, 547, 25643, 519, 6967, 882, 923, 540, 513, 2458, 2355, 532, 737, 27626, 26720, 269, 5272, 3602, 596, 1413, 267, 972, 616, 8733, 14592, 540, 2831, 602, 1031, 547, 2661, 1934, 13026, 676, 7068, 16865, 676, 8337, 15798, 269, 1548, 952, 972, 729, 513, 4104, 3595, 602, 14616, 4411, 267, 1510, 18723, 610, 8673, 286, 14348, 4896, 5469, 18313, 2791, 666, 1265, 519, 3312, 1353, 1934, 269, 0, 290, 8463, 8752, 593, 634, 6478, 2048, 23330, 1738, 20371, 2108, 23330, 1738, 892, 568, 606, 18781, 602, 6257, 1945, 1644, 547, 22968, 267, 519, 1148, 1106, 602, 10905, 2575, 267, 13465, 267, 9117, 267, 543, 9423, 269, 898, 568, 1419, 1031, 547, 4766, 519, 2511, 267, 4162, 267, 610, 7907, 2404, 609, 22968, 563, 2304, 22968, 568, 513, 1106, 540, 7574, 14364, 602, 12090, 538, 519, 3735, 476, 1626, 628, 2540, 543, 568, 1869, 5340, 2221, 269, 898, 3335, 2934, 14969, 13465, 267, 19762, 560, 1537, 2575, 267, 543, 10565, 9423, 267, 543, 1419, 2882, 26974, 3740, 5036, 267, 24853, 267, 543, 588, 1645, 563, 2108, 23330, 1738, 892, 666, 849, 4766, 513, 1808, 2511, 540, 13465, 6353, 676, 3532, 4938, 1023, 267, 513, 2647, 13047, 2039, 267, 543, 519, 2702, 547, 1788, 519, 5639, 936, 606, 32316, 1510, 29208, 269, 898, 1419, 3340, 3573, 13047, 2866, 543, 1852, 563, 291, 1090, 1738, 543, 634, 520, 3740, 454, 763, 2165, 968, 6016, 1738, 892, 568, 1419, 1031, 547, 4766, 1945, 602, 568, 6264, 267, 10565, 267, 610, 3677, 31032, 3734, 267, 28330, 547, 519, 26974, 3740, 543, 3929, 2609, 1336, 538, 22968, 12644, 563, 5825, 720, 538, 15019, 9177, 454, 763, 2262, 968, 6016, 1738, 892, 568, 3006, 1031, 14165, 1227, 610, 19562, 8271, 547, 4766, 3871, 267, 2621, 267, 610, 12644, 602, 8858, 10565, 8515, 267, 3063, 341, 698, 766, 267, 610, 513, 2631, 540, 15398, 4664, 563, 2108, 23330, 1738, 892, 568, 5702, 2404, 609, 22968, 8075, 267, 799, 616, 6131, 28503, 585, 588, 1645, 1766, 553, 269, 1452, 519, 11596, 616, 2966, 547, 13918, 519, 1808, 17974, 543, 2930, 4170, 540, 22968, 12644, 563, 2467, 616, 3875, 4583, 1766, 553, 602, 723, 1831, 12021, 2429, 1686, 267, 1519, 1568, 676, 25803, 971, 607, 20787, 691, 267, 7638, 10972, 267, 10658, 764, 7236, 267, 25538, 1676, 267, 543, 811, 269, 1452, 1766, 553, 1419, 13686, 519, 1766, 1738, 2511, 543, 1106, 563, 2108, 23330, 1738, 892, 568, 849, 1031, 547, 4766, 2206, 619, 945, 20647, 538, 7900, 22968, 269, 1452, 2206, 619, 10929, 3573, 13047, 2866, 543, 4865, 519, 2702, 547, 4612, 543, 6655, 519, 4664, 543, 16082, 540, 22968, 2575, 563, 20751, 519, 7706, 540, 22968, 267, 972, 616, 1585, 11964, 543, 6163, 267, 1519, 13249, 22968, 267, 13371, 22968, 267, 3140, 22968, 267, 543, 811, 563, 23330, 320, 814, 1185, 513, 1713, 2686, 1764, 2429, 1686, 543, 5170, 547, 581, 15874, 543, 5340, 5001, 269, 898, 814, 6273, 9118, 25803, 267, 12372, 267, 543, 22407, 267, 543, 3788, 606, 1271, 851, 540, 519, 7900, 6575, 2245, 269, 0, 288, 3381, 814, 7153, 602, 2982, 1018, 568, 2693, 519, 10545, 476, 274, 291, 17002, 2479, 1500, 563, 763, 3381, 267, 3812, 676, 519, 3592, 20822, 3733, 715, 21007, 267, 2982, 519, 5106, 540, 513, 1360, 267, 1360, 6263, 9049, 6369, 476, 274, 291, 17002, 269, 9049, 6369, 568, 513, 18300, 1184, 1141, 1769, 689, 606, 700, 7374, 8470, 28729, 524, 999, 6106, 540, 18300, 547, 7930, 1628, 606, 1843, 4494, 676, 4494, 563, 7069, 715, 21007, 12014, 519, 796, 24887, 3926, 607, 519, 968, 13328, 779, 9540, 652, 476, 274, 291, 2398, 5793, 5608, 543, 594, 1810, 1406, 8969, 621, 269, 1703, 723, 1044, 476, 274, 291, 16493, 540, 968, 274, 291, 17002, 18810, 892, 602, 616, 4130, 267, 855, 713, 3364, 2965, 1568, 269, 23985, 519, 2450, 540, 606, 5794, 303, 16104, 2013, 666, 2965, 3132, 476, 274, 291, 16493, 2336, 2467, 616, 7463, 2890, 23252, 602, 723, 13974, 1507, 1628, 12531, 585, 8966, 3156, 267, 855, 519, 6191, 602, 798, 865, 616, 27723, 3677, 982, 713, 3926, 563, 1103, 519, 4557, 8792, 3381, 596, 786, 1294, 519, 17002, 538, 2962, 267, 6721, 606, 15069, 1507, 19562, 710, 689, 3109, 18300, 563, 268, 10724, 7516, 281, 476, 1240, 1535, 476, 4029, 1535, 476, 6078, 6515, 454, 268, 10724, 2597, 281, 476, 1704, 326, 454, 268, 2473, 25286, 6571, 281, 476, 271, 269, 13670, 7825, 454, 268, 23771, 4463, 281, 476, 271, 269, 4968, 7825, 547, 607, 1970, 607, 476, 271, 269, 22650, 7825, 454, 268, 12706, 4320, 281, 476, 1556, 1535, 476, 1556, 1535, 476, 1704, 6515, 454, 23330, 566, 540, 713, 3926, 568, 513, 3787, 8966, 267, 1317, 1480, 11263, 616, 2484, 547, 1804, 547, 581, 1031, 538, 519, 3339, 6073, 269, 634, 18300, 7382, 267, 1820, 6676, 543, 824, 3334, 616, 865, 1507, 789, 2154, 2027, 2645, 563, 2414, 4452, 519, 18300, 7382, 267, 513, 861, 16206, 568, 1031, 547, 5402, 1747, 513, 1906, 12772, 540, 18300, 883, 519, 7382, 269, 1677, 4894, 519, 1820, 6676, 267, 17408, 14162, 619, 616, 1031, 547, 9787, 519, 6676, 543, 12740, 621, 1055, 519, 17002, 563, 29309, 532, 689, 519, 17002, 616, 513, 7008, 540, 3044, 2609, 269, 1703, 779, 1100, 11158, 3382, 267, 855, 585, 519, 3259, 540, 942, 891, 16493, 1131, 1491, 267, 972, 779, 2370, 1448, 547, 1331, 835, 269, 1703, 779, 849, 1100, 1852, 8470, 267, 543, 602, 779, 1317, 1022, 28505, 8470, 1131, 581, 1454, 3677, 982, 519, 3003, 17002, 2336, 2005, 779, 711, 3254, 538, 519, 3381, 267, 855, 594, 14353, 519, 3926, 1281, 711, 1331, 513, 17120, 543, 568, 1373, 2196, 689, 513, 7193, 1055, 1606, 10547, 269, 901, 1131, 7494, 14458, 519, 1374, 607, 972, 3884, 1406, 4055, 585, 1022, 540, 519, 6093, 17120, 12545, 563, 1607, 1788, 267, 1247, 11207, 791, 24411, 267, 9727, 835, 1448, 3833, 5693, 281, 9049, 6369, 476, 274, 291, 23252, 616, 8626, 27274, 2241, 269, 1358, 2154, 513, 835, 2173, 19318, 1820, 6676, 5163, 1062, 267, 513, 18300, 7382, 267, 513, 1769, 2599, 630, 17141, 1055, 519, 15808, 1070, 543, 930, 3301, 563, 7197, 18376, 18300, 476, 274, 291, 23252, 616, 1500, 538, 519, 1482, 1259, 267, 621, 779, 1175, 602, 789, 616, 513, 2603, 8273, 982, 713, 6263, 476, 274, 291, 17002, 269, 901, 568, 835, 2601, 519, 3902, 540, 602, 2511, 540, 476, 274, 291, 17002, 814, 1044, 16111, 21177, 281, 972, 779, 1175, 711, 602, 1454, 547, 873, 269, 0, 13328, 1677, 850, 339, 4303, 476, 1708, 274, 6212, 593, 519, 991, 547, 17108, 1689, 269, 901, 2616, 766, 267, 4371, 12422, 2094, 476, 1001, 274, 267, 22842, 30079, 543, 12651, 4656, 540, 519, 476, 274, 269, 277, 5479, 1004, 2713, 1510, 1569, 547, 9108, 7307, 19455, 269, 898, 568, 827, 2921, 2962, 547, 10994, 519, 2518, 19455, 6433, 543, 3035, 12655, 4886, 25779, 476, 277, 281, 19455, 543, 1216, 585, 782, 676, 476, 10711, 271, 269, 6258, 811, 827, 519, 1554, 1934, 543, 3605, 875, 3906, 538, 25611, 616, 7722, 538, 2518, 3646, 585, 19455, 585, 782, 563, 1708, 274, 27484, 281, 24665, 908, 1689, 454, 25387, 267, 972, 616, 476, 274, 269, 276, 5479, 1004, 1869, 2713, 1510, 2922, 30079, 269, 476, 275, 866, 2929, 1004, 1869, 2259, 2048, 13449, 1219, 1815, 566, 9957, 769, 891, 3871, 267, 3676, 3262, 267, 11318, 476, 272, 267, 1822, 1453, 896, 19317, 1169, 2582, 1554, 269, 901, 2518, 6433, 13514, 513, 3463, 547, 2470, 543, 3025, 779, 1072, 267, 3226, 2021, 267, 6690, 267, 543, 824, 7925, 2516, 563, 13328, 1677, 850, 339, 4303, 476, 1708, 274, 568, 827, 23960, 1689, 269, 589, 2388, 1107, 2705, 1507, 1107, 786, 948, 2087, 30079, 543, 19455, 1949, 543, 2149, 2470, 563, 763, 1293, 6658, 547, 476, 10711, 271, 814, 13175, 269, 1284, 1152, 723, 5722, 1296, 2451, 547, 3035, 12655, 4886, 25779, 476, 277, 630, 16256, 294, 476, 277, 264, 1107, 2922, 30079, 543, 1216, 585, 782, 676, 476, 10711, 271, 269, 1284, 1590, 17108, 3356, 547, 2327, 3025, 814, 2922, 30079, 543, 1216, 676, 476, 10711, 271, 269, 5842, 2787, 543, 6704, 21226, 616, 1480, 2924, 267, 543, 1569, 547, 891, 2533, 568, 2565, 547, 1004, 779, 1072, 543, 519, 8699, 540, 519, 1604, 563, 12988, 538, 4728, 267, 519, 1158, 8087, 693, 519, 6167, 476, 1708, 274, 4826, 10985, 543, 3812, 519, 4826, 11059, 3397, 12629, 269, 634, 3397, 12629, 568, 519, 4015, 540, 811, 982, 476, 8517, 4540, 543, 1007, 19647, 593, 19455, 543, 1216, 689, 6608, 267, 3549, 267, 3906, 543, 824, 5238, 269, 2201, 1283, 540, 713, 267, 936, 476, 278, 267, 1822, 2818, 540, 519, 1857, 723, 1500, 741, 1378, 14767, 3842, 519, 2142, 634, 7827, 5859, 563, 9213, 267, 519, 1158, 568, 12517, 1055, 3950, 269, 1284, 991, 547, 960, 2947, 2053, 5488, 593, 19455, 269, 1548, 649, 991, 1631, 568, 1454, 5488, 2962, 1107, 585, 3025, 547, 581, 18177, 585, 12419, 593, 741, 14767, 563, 12850, 267, 5842, 2787, 543, 30719, 630, 310, 23808, 994, 763, 4295, 2534, 540, 654, 23808, 11363, 519, 3450, 540, 2596, 19455, 543, 9882, 547, 2950, 543, 1153, 1453, 609, 513, 1880, 1445, 593, 6690, 685, 2069, 543, 4008, 7862, 267, 607, 513, 2556, 9148, 547, 519, 1967, 540, 1216, 543, 19455, 5989, 3785, 563, 1607, 7471, 1935, 547, 519, 6765, 540, 2596, 2533, 568, 519, 1587, 540, 968, 1652, 976, 4121, 892, 689, 519, 4139, 25530, 4826, 18242, 543, 5842, 2787, 5463, 1228, 630, 2735, 272, 268, 1960, 271, 1040, 2755, 7760, 941, 1500, 538, 2810, 519, 1569, 547, 2922, 6704, 1216, 267, 1447, 3356, 729, 1500, 593, 519, 11865, 540, 19455, 2533, 543, 538, 9882, 2069, 543, 2866, 269, 1452, 3407, 4245, 616, 1631, 519, 1445, 540, 513, 2518, 4674, 547, 2087, 519, 1072, 543, 7607, 540, 519, 4683, 543, 6917, 4057, 538, 519, 3384, 1158, 563, 763, 6167, 32019, 5604, 538, 25611, 13333, 607, 519, 1849, 13831, 8048, 10837, 585, 519, 6820, 654, 23808, 1849, 13831, 630, 294, 310, 290, 1070, 519, 6101, 25640, 3760, 585, 19493, 654, 23808, 11051, 538, 782, 2694, 540, 519, 5823, 269, 6167, 8041, 538, 25611, 3742, 538, 519, 12440, 1331, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 2136, 8315, 4400, 30934, 585, 25083, 525, 630, 7419, 295, 10135, 1070, 543, 519, 4139, 9257, 585, 24779, 630, 296, 6865, 1040, 3509, 25611, 2861, 3906, 538, 519, 19493, 5823, 616, 8362, 2502, 538, 654, 23808, 630, 5408, 2630, 1040, 634, 4139, 5948, 540, 28968, 538, 5274, 9107, 26859, 543, 10466, 2488, 606, 7650, 540, 1883, 8100, 543, 11051, 538, 654, 23808, 563, 763, 10020, 540, 25611, 454, 2026, 513, 2518, 13398, 585, 1072, 10350, 267, 25611, 568, 606, 1271, 1747, 585, 2518, 2962, 4724, 12676, 294, 277, 269, 25611, 2861, 3906, 3742, 538, 713, 2361, 616, 7396, 2630, 538, 9904, 673, 1931, 563, 22512, 4139, 30778, 1568, 593, 1216, 568, 811, 982, 827, 20857, 19401, 610, 2679, 4234, 21218, 269, 1358, 960, 609, 6608, 593, 4507, 267, 5583, 267, 543, 4199, 14305, 267, 547, 2327, 9434, 9283, 269, 1358, 849, 11753, 938, 1216, 960, 883, 938, 824, 1982, 2127, 267, 1519, 938, 960, 593, 2069, 543, 2916, 5126, 563, 3519, 3685, 593, 519, 10466, 543, 2422, 540, 3690, 20129, 776, 4826, 322, 12973, 543, 4139, 20463, 630, 12850, 13482, 994, 763, 4826, 13482, 267, 4218, 3603, 676, 6167, 4488, 292, 267, 18791, 1098, 20129, 776, 1216, 9316, 543, 3800, 585, 519, 3235, 10999, 1606, 895, 2359, 543, 4027, 540, 1098, 20129, 776, 2627, 7297, 543, 2666, 31662, 269, 634, 13482, 11942, 519, 6388, 540, 7471, 1216, 2200, 2359, 267, 538, 1880, 519, 16935, 1935, 269, 634, 13482, 779, 6388, 8309, 547, 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 ]
[ 723, 1044, 2919, 269, 589, 1007, 7160, 540, 713, 3810, 3811, 2875, 1837, 267, 8242, 547, 2992, 519, 5767, 7835, 538, 519, 2361, 540, 11616, 1108, 267, 609, 519, 10014, 540, 2185, 1007, 11271, 18838, 676, 513, 2319, 540, 4589, 609, 3573, 1995, 540, 3450, 713, 1641, 10374, 13801, 11271, 593, 1883, 3584, 4766, 1950, 2035, 538, 513, 3593, 7888, 1259, 16952, 7515, 267, 2095, 12222, 543, 3875, 1688, 1673, 22148, 12383, 1489, 519, 2035, 4843, 538, 519, 1257, 454, 3519, 8877, 519, 5767, 1344, 593, 31630, 543, 5868, 267, 27259, 31814, 9607, 1312, 1808, 267, 3989, 2042, 267, 607, 1134, 607, 3466, 538, 3984, 270, 1706, 553, 924, 5872, 269, 901, 1433, 568, 513, 2347, 4704, 593, 15451, 7350, 267, 3676, 267, 5868, 267, 6604, 267, 543, 1852, 269, 898, 849, 2488, 513, 5748, 540, 1702, 593, 13596, 543, 875, 789, 2170, 609, 14747, 269, 1230, 13935, 513, 3102, 267, 909, 3562, 15082, 7650, 540, 9190, 543, 16507, 8069, 602, 2014, 3662, 2068, 267, 1519, 5063, 4857, 7103, 607, 1134, 607, 519, 31630, 540, 6932, 3676, 269, 17972, 811, 982, 476, 1911, 2407, 12258, 528, 12383, 547, 11617, 12927, 1883, 2035, 269, 634, 1433, 568, 25401, 6896, 585, 8897, 540, 946, 543, 2656, 4704, 538, 519, 4791, 4259, 269, 17372, 525, 3676, 602, 666, 1860, 3662, 7607, 267, 1312, 585, 1367, 2831, 607, 1134, 607, 23636, 1072, 269, 9181, 525, 519, 6286, 540, 1585, 7103, 538, 6211, 13137, 543, 1979, 582, 19587, 1143, 563, 291, 2607, 10657, 585, 29956, 15302, 540, 519, 13928, 543, 9697, 2488, 3728, 1569, 547, 782, 519, 1344, 2877, 547, 3927, 543, 19100, 1521, 11763, 2068, 538, 5243, 543, 7314, 267, 609, 2653, 10478, 676, 2901, 3075, 610, 11248, 269, 30216, 3728, 1569, 547, 1898, 1344, 593, 1095, 21564, 11216, 267, 30624, 2426, 1023, 267, 25316, 31730, 527, 923, 267, 543, 17617, 597, 1023, 5510, 619, 9904, 673, 10478, 676, 2901, 3075, 610, 11248, 10312, 525, 593, 24802, 4143, 1344, 3213, 951, 1344, 593, 1142, 3075, 1210, 513, 1455, 3898, 585, 8897, 540, 946, 3465, 757, 513, 6325, 2656, 4704, 547, 519, 2953, 946, 540, 11216, 538, 18915, 2259, 10684, 10657, 585, 29956, 15302, 540, 519, 13928, 543, 9697, 2488, 3728, 1569, 547, 782, 519, 1344, 2877, 547, 3927, 543, 19100, 1521, 11763, 2068, 538, 5243, 543, 7314, 267, 609, 2653, 10478, 676, 2901, 3075, 610, 11248, 269, 30216, 3728, 1569, 547, 1898, 1344, 593, 1095, 21564, 11216, 267, 30624, 2426, 1023, 267, 25316, 31730, 527, 923, 267, 543, 17617, 597, 1023, 5510, 619, 9904, 673, 10478, 676, 2901, 3075, 610, 11248, 10312, 525, 593, 24802, 4143, 1344, 3213, 951, 1344, 593, 1142, 3075, 1210, 513, 1455, 3898, 585, 8897, 540, 946, 3465, 757, 513, 6325, 2656, 4704, 547, 519, 2953, 946, 540, 11216, 538, 18915, 2259, 454, 21652, 1504, 540, 27259, 24103, 1108, 568, 513, 2312, 543, 13801, 3391, 547, 14278, 1108, 2035, 543, 4122, 1031, 18915, 5061, 269, 21278, 513, 13151, 3307, 7650, 540, 18915, 14278, 1108, 267, 713, 1433, 6799, 1344, 538, 513, 3593, 7888, 7291, 3898, 547, 1450, 2656, 1569, 547, 4052, 3075, 1344, 269, 2060, 11271, 8720, 519, 2596, 3741, 267, 1808, 5061, 267, 4205, 267, 543, 3656, 9270, 267, 18361, 540, 27259, 24103, 1108, 3091, 909, 3562, 15082, 1344, 593, 2596, 543, 4791, 18915, 14278, 1108, 269, 1306, 606, 5351, 547, 2875, 8223, 267, 2241, 1899, 12400, 6813, 519, 6127, 540, 2962, 543, 1353, 2055, 609, 3137, 616, 3769, 693, 519, 1439, 540, 1142, 3184, 269, 2561, 754, 1182, 593, 15639, 2053, 585, 5061, 538, 2504, 2831, 543, 3075, 13121, 1137, 538, 6469, 2249, 616, 513, 3407, 1907, 267, 3850, 2656, 3664, 593, 3075, 3797, 269, 18361, 540, 27259, 24103, 1108, 568, 606, 16832, 1257, 585, 18915, 1053, 543, 9439, 563, 32747, 11202, 1108, 585, 519, 27259, 12243, 568, 513, 13801, 267, 6325, 4199, 585, 2930, 2319, 2818, 7900, 4791, 10368, 6268, 269, 29760, 593, 3732, 7829, 267, 12227, 23363, 267, 3339, 17550, 543, 14169, 267, 4791, 26129, 267, 543, 2068, 3157, 267, 519, 1433, 2337, 2930, 2319, 2818, 547, 9846, 3035, 1164, 7779, 2164, 538, 1507, 3662, 2978, 960, 269, 1323, 1898, 14541, 20933, 4704, 585, 538, 27440, 20682, 267, 519, 1433, 2882, 513, 23861, 609, 7317, 2665, 547, 1628, 1983, 538, 2542, 543, 16208, 3059, 15942, 269, 2060, 11271, 593, 1973, 12523, 267, 7998, 267, 2712, 1400, 1736, 543, 32690, 267, 4359, 26129, 267, 543, 11118, 1108, 267, 11916, 11202, 1108, 585, 519, 27259, 12243, 3091, 1883, 2930, 1344, 585, 9846, 13844, 543, 10442, 5439, 269, 634, 1433, 568, 513, 4052, 4199, 585, 4896, 7900, 2978, 960, 267, 1519, 18915, 23390, 267, 27637, 543, 18915, 1053, 267, 543, 14830, 12579, 563, 257, 309, 2678, 2435, 11916, 31226, 527, 1108, 267, 661, 12915, 9990, 2437, 5423, 896, 519, 513, 22273, 1182, 540, 519, 1977, 5948, 540, 27259, 31226, 527, 5505, 630, 8150, 29262, 1070, 11363, 519, 10641, 11043, 8446, 540, 1312, 4835, 543, 5007, 15495, 540, 6469, 2831, 269, 29760, 593, 519, 4255, 543, 1344, 1034, 4143, 547, 3232, 2259, 267, 519, 1433, 6257, 4977, 267, 1942, 15807, 2553, 585, 23235, 26220, 5563, 538, 2831, 269, 26451, 2312, 267, 2653, 3562, 1922, 785, 1344, 593, 519, 3892, 267, 1272, 4783, 267, 543, 2956, 540, 1142, 21313, 267, 834, 309, 2678, 2435, 11916, 31226, 527, 1108, 257, 3091, 811, 982, 476, 14596, 2592, 547, 5351, 609, 5868, 269, 634, 661, 12915, 9990, 2882, 513, 1007, 3184, 593, 6375, 11043, 543, 7636, 5868, 267, 2799, 3795, 540, 24217, 543, 1007, 6810, 593, 8446, 540, 29370, 1791, 23706, 543, 16793, 538, 10368, 5439, 269, 634, 1007, 7160, 849, 2934, 9450, 1344, 593, 11050, 4212, 12523, 267, 7020, 540, 606, 1492, 27476, 842, 545, 4187, 543, 8446, 540, 15555, 5364, 2178, 2643, 573, 16793, 269, 16952, 9283, 1331, 1082, 1007, 2592, 2429, 519, 1433, 267, 15428, 3454, 21978, 1344, 267, 543, 513, 1007, 11768, 10023, 29601, 676, 3296, 547, 2087, 3593, 1922, 5987, 17349, 269, 834, 309, 2678, 2435, 11916, 31226, 527, 1108, 257, 568, 513, 3810, 4052, 14541, 2515, 4704, 17170, 547, 19353, 267, 23390, 267, 543, 1053, 269, 6206, 2934, 20450, 607, 513, 4605, 2173, 10248, 3391, 547, 5351, 538, 7114, 15495, 540, 6469, 2831, 30216, 513, 4052, 267, 3730, 4199, 585, 1565, 519, 2553, 1031, 538, 23235, 15495, 5510, 619, 513, 1007, 3184, 593, 6375, 11043, 543, 7636, 5868, 267, 607, 1134, 607, 1007, 2592, 543, 1007, 6810, 2429, 4414, 525, 11220, 585, 4443, 1569, 547, 1344, 267, 609, 513, 10477, 2985, 1374, 543, 29601, 7114, 1367, 6810, 16721, 1563, 896, 519, 513, 22273, 1182, 540, 519, 1977, 5948, 540, 27259, 31226, 527, 5505, 630, 8150, 29262, 264, 22291, 513, 13959, 3896, 5356, 519, 2592, 689, 519, 1433, 6475, 1227, 267, 2139, 693, 8940, 9884, 13704, 2593, 270, 2998, 270, 345, 1690, 659, 454, 309, 2678, 2435, 31814, 267, 12059, 9990, 568, 513, 3102, 4704, 593, 519, 9190, 267, 16507, 267, 543, 10194, 23633, 8069, 602, 2014, 3662, 2068, 269, 3767, 538, 2407, 2681, 609, 4824, 2592, 2429, 267, 519, 1007, 7160, 814, 1044, 8499, 8242, 547, 2992, 1344, 689, 1699, 1382, 543, 10368, 543, 4791, 12326, 269, 6206, 2242, 1331, 513, 2689, 540, 15451, 1591, 2497, 543, 1599, 543, 2799, 8561, 593, 519, 1883, 2798, 540, 31630, 543, 3984, 6114, 547, 3968, 269, 5029, 1242, 883, 2185, 6810, 267, 519, 12059, 9990, 5956, 609, 606, 8242, 543, 9450, 2606, 3296, 593, 11763, 2068, 31630, 267, 5868, 543, 4791, 2359, 269, 634, 2034, 3296, 6227, 9190, 543, 16507, 13596, 267, 543, 519, 3791, 3296, 6257, 10194, 3676, 543, 8290, 269, 634, 3803, 3296, 6799, 513, 9836, 1935, 540, 10503, 3968, 543, 2068, 540, 2831, 269, 4982, 958, 3730, 585, 4098, 18915, 1053, 543, 19023, 9439, 267, 27259, 31814, 3091, 513, 9488, 4367, 543, 4704, 1257, 585, 18915, 11763, 2068, 563, 5141, 739, 5090, 658, 15302, 540, 12292, 568, 519, 1101, 1433, 547, 1445, 593, 804, 739, 5090, 658, 3676, 538, 6469, 543, 3552, 2831, 267, 5356, 513, 3102, 4704, 593, 891, 1455, 3676, 269, 22716, 1944, 4791, 3156, 267, 519, 1433, 3091, 513, 2347, 267, 538, 3829, 6514, 540, 804, 739, 5090, 658, 2068, 267, 689, 31630, 267, 21454, 267, 543, 8762, 5735, 547, 10368, 2553, 267, 4791, 2359, 267, 543, 2126, 269, 26157, 21454, 543, 8762, 5735, 267, 513, 5031, 540, 519, 1433, 568, 519, 1164, 7779, 4791, 11147, 267, 799, 616, 3407, 585, 9301, 2068, 3270, 269, 634, 1433, 5956, 609, 6810, 593, 519, 23633, 804, 739, 5090, 807, 543, 519, 13802, 3812, 267, 1287, 6227, 1808, 3676, 3812, 676, 519, 23633, 804, 739, 5090, 807, 269, 1849, 739, 5090, 658, 15302, 540, 12292, 26564, 1699, 1620, 540, 804, 739, 5090, 658, 3676, 543, 11828, 1271, 2127, 540, 10368, 10462, 267, 1818, 621, 606, 1898, 4704, 585, 18915, 19353, 267, 3208, 739, 5974, 267, 2619, 5505, 267, 18117, 5505, 267, 1053, 267, 543, 22257, 8041, 269, 6206, 2934, 30216, 513, 2582, 4199, 585, 782, 3344, 540, 804, 739, 5090, 658, 3676, 3465, 757, 1699, 267, 3102, 1344, 609, 513, 1445, 593, 4791, 10083, 3213, 951, 1142, 2068, 538, 3178, 267, 1519, 1696, 5735, 267, 27496, 267, 19190, 267, 14407, 21454, 267, 1277, 31752, 267, 26129, 267, 10368, 7355, 267, 605, 29091, 9471, 267, 1852, 267, 543, 2126, 18838, 676, 519, 1158, 6122, 8172, 4966, 538, 519, 2361, 540, 804, 739, 5090, 658, 3676, 538, 2831, 5510, 619, 11147, 543, 5758, 7515, 547, 1489, 519, 2035, 5941, 538, 519, 1257, 543, 5351, 538, 6284, 454, 17809, 728, 4274, 1416, 585, 7314, 543, 5243, 256, 31489, 543, 645, 626, 1676, 781, 18361, 540, 27259, 30332, 543, 17073, 9615, 267, 476, 280, 628, 9990, 6227, 711, 1152, 519, 2359, 540, 6595, 2175, 267, 855, 849, 2994, 585, 7231, 609, 7366, 540, 6296, 10368, 543, 2126, 2591, 538, 1507, 2831, 269, 4706, 3593, 7888, 3898, 2488, 8216, 1569, 547, 4105, 1344, 4534, 1818, 621, 606, 4998, 4199, 538, 6595, 3871, 4534, 543, 621, 568, 10375, 569, 6896, 676, 1312, 1560, 1949, 543, 9306, 4191, 547, 948, 596, 3362, 3914, 513, 5868, 543, 3313, 513, 2126, 1544, 585, 782, 4791, 3871, 269, 18838, 676, 18915, 4966, 9400, 16110, 543, 4432, 13453, 631, 9579, 29195, 549, 267, 31489, 543, 645, 626, 1676, 781, 18361, 540, 27259, 30332, 543, 17073, 9615, 2488, 1699, 4808, 585, 1507, 3662, 6595, 1416, 543, 519, 10368, 5773, 1034, 4122, 5340, 538, 513, 11112, 267, 2319, 15129, 2259, 269, 5153, 8386, 9912, 5528, 543, 12383, 616, 3177, 585, 782, 2101, 6595, 543, 1875, 15041, 1120, 1890, 4791, 5773, 269, 589, 9266, 267, 2653, 3562, 14025, 3898, 8638, 782, 6595, 2175, 538, 9904, 673, 1931, 267, 543, 2882, 2656, 4704, 10833, 10912, 856, 1883, 1344, 971, 607, 4791, 4388, 543, 1309, 1903, 269, 13068, 267, 13801, 4808, 948, 596, 6218, 4791, 4191, 543, 8047, 1449, 1239, 269, 11916, 6620, 1118, 621, 4443, 547, 2697, 543, 1521, 17244, 269, 13832, 585, 4879, 543, 2126, 1331, 4052, 5796, 543, 3435, 267, 875, 547, 4983, 519, 1507, 3662, 3461, 1210, 513, 1560, 1949, 543, 1966, 1592, 1935, 267, 543, 513, 2689, 540, 2596, 10368, 5773, 1031, 538, 3232, 2259, 269, 15147, 720, 540, 6757, 1670, 18002, 6257, 875, 547, 4383, 23927, 543, 8914, 902, 269, 589, 2656, 4704, 3391, 547, 519, 2359, 540, 519, 6595, 3461, 568, 10375, 569, 4092, 593, 519, 3330, 3382, 269, 589, 3102, 3075, 1106, 592, 776, 2306, 1413, 1575, 2653, 267, 543, 2882, 28106, 4408, 267, 3527, 270, 2224, 540, 1142, 3075, 267, 30422, 267, 5227, 13121, 1137, 267, 543, 2027, 15416, 267, 609, 6595, 6527, 12006, 585, 3728, 4704, 901, 782, 2987, 14633, 4704, 2882, 4052, 3795, 540, 6595, 5773, 267, 2168, 4879, 538, 19210, 543, 1072, 267, 6296, 543, 4359, 4152, 5773, 267, 10368, 4255, 10386, 267, 7041, 267, 5773, 267, 543, 7664, 269, 16797, 13129, 10833, 1331, 1761, 3123, 540, 1142, 4791, 25983, 1275, 543, 2404, 4191, 267, 1900, 8386, 9912, 10368, 4566, 267, 543, 4791, 6620, 269, 634, 5767, 12674, 4808, 1331, 10873, 585, 5243, 543, 7314, 693, 1970, 267, 5420, 267, 543, 1164, 1981, 540, 4598, 547, 11763, 3676, 269, 21213, 3795, 8952, 596, 1699, 609, 519, 5767, 593, 1928, 4879, 267, 6604, 267, 543, 2126, 563, 300, 15412, 5735, 538, 2659, 623, 12714, 281, 16797, 11202, 4094, 5623, 676, 9253, 874, 710, 4498, 686, 2714, 568, 513, 13801, 3391, 547, 1455, 543, 4686, 4551, 267, 8290, 267, 13271, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 5851, 20904, 543, 29766, 910, 4197, 18200, 326, 1137, 692, 8702, 267, 2104, 21427, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 6180, 326, 1137, 267, 799, 786, 948, 596, 1732, 1174, 875, 1004, 4444, 5321, 269, 1284, 3513, 2263, 1018, 4422, 883, 513, 20251, 8569, 267, 1946, 621, 6927, 267, 543, 1256, 1413, 693, 2081, 547, 2628, 1055, 707, 20251, 5488, 269, 2913, 781, 4685, 1318, 538, 2439, 1432, 568, 513, 20251, 888, 5331, 16462, 547, 4444, 513, 6216, 1007, 11332, 855, 1152, 2348, 3368, 540, 519, 2724, 2877, 269, 2659, 21464, 3237, 1522, 22937, 596, 519, 1964, 865, 602, 596, 666, 2972, 14964, 1472, 4884, 5612, 269, 1717, 267, 789, 1131, 2503, 596, 547, 23231, 873, 936, 942, 2394, 596, 4312, 8120, 782, 519, 22666, 2724, 7132, 930, 3063, 585, 741, 9639, 630, 15517, 1040, 6684, 267, 950, 2576, 1207, 903, 513, 2777, 267, 789, 1419, 1205, 513, 20251, 1107, 513, 2462, 10211, 547, 3382, 1034, 540, 519, 1942, 1107, 689, 513, 4871, 610, 824, 2883, 9872, 269, 3683, 1082, 1296, 267, 519, 23138, 17188, 1394, 519, 10211, 2370, 676, 2370, 267, 2059, 609, 3606, 1719, 780, 17954, 1136, 13560, 513, 18200, 16372, 32237, 454, 4131, 781, 2161, 596, 1616, 547, 4444, 513, 1269, 1220, 267, 1822, 2777, 543, 723, 10710, 909, 1269, 2412, 267, 1822, 585, 513, 1524, 8569, 269, 2334, 1797, 596, 1869, 991, 1269, 8182, 267, 1822, 689, 513, 20251, 269, 3962, 3923, 267, 596, 1590, 13863, 2476, 693, 713, 7963, 1247, 9878, 3606, 3790, 2404, 609, 26539, 513, 1753, 1384, 272, 269, 25867, 281, 901, 568, 519, 4890, 2179, 22666, 18121, 8182, 267, 1822, 264, 602, 11081, 1142, 3923, 607, 596, 1118, 707, 2834, 11033, 563, 273, 269, 9314, 281, 3807, 899, 707, 3237, 9901, 596, 1719, 593, 707, 17919, 10211, 267, 8492, 5279, 1719, 1932, 269, 1358, 5173, 713, 1759, 593, 519, 6967, 3666, 543, 606, 5993, 6871, 2557, 1572, 519, 1719, 2557, 563, 274, 269, 16296, 12525, 525, 281, 20079, 543, 17521, 2445, 891, 9204, 1759, 593, 519, 12290, 1871, 540, 707, 1753, 269, 1452, 7482, 979, 2509, 2199, 2533, 971, 607, 7128, 13623, 543, 3506, 563, 275, 269, 17721, 18200, 16372, 15928, 630, 303, 11085, 2567, 1879, 18046, 1810, 1405, 2322, 2614, 2724, 1524, 7620, 630, 17141, 476, 736, 15992, 32225, 2154, 6751, 296, 547, 2149, 2933, 952, 519, 10210, 518, 9949, 338, 269, 4495, 596, 3914, 476, 736, 260, 9698, 538, 707, 1753, 267, 596, 949, 7662, 547, 22599, 6751, 296, 563, 276, 269, 5851, 26782, 781, 15928, 281, 13363, 338, 1996, 3441, 1813, 547, 2621, 899, 11642, 267, 15420, 267, 610, 17403, 269, 700, 11367, 3335, 23626, 6169, 540, 3795, 1354, 1237, 1324, 513, 20251, 563, 277, 269, 5851, 14935, 5948, 3171, 525, 630, 9816, 288, 2567, 2368, 2950, 20818, 891, 10997, 547, 2226, 3838, 5624, 899, 20115, 543, 11614, 269, 3502, 1169, 8378, 814, 32764, 2026, 780, 15612, 908, 2659, 13600, 569, 32237, 454, 2414, 1265, 856, 4010, 875, 1454, 596, 9364, 28297, 1142, 3923, 267, 946, 938, 2241, 4542, 912, 300, 815, 623, 314, 337, 263, 272, 266, 337, 8203, 333, 316, 270, 27007, 272, 266, 337, 8203, 333, 1107, 476, 272, 2639, 8489, 631, 568, 519, 10865, 8569, 267, 623, 568, 519, 9030, 267, 678, 568, 519, 10865, 1719, 2557, 630, 2335, 783, 2557, 5258, 676, 476, 1321, 1070, 543, 562, 568, 519, 1297, 540, 3275, 538, 707, 10211, 2165, 269, 5213, 1405, 5855, 282, 972, 616, 7899, 540, 2228, 26732, 2139, 547, 798, 519, 2979, 585, 596, 2439, 303, 11691, 5510, 674, 2120, 454, 5278, 11570, 3442, 547, 3432, 909, 741, 20251, 16131, 676, 1818, 3063, 11033, 610, 15175, 547, 18965, 1979, 22173, 569, 4566, 269, 1635, 3257, 713, 267, 811, 2724, 4422, 4724, 519, 9030, 2038, 593, 267, 4227, 2949, 1719, 3790, 543, 2110, 2287, 519, 10211, 2165, 269, 5994, 9494, 5215, 540, 9489, 1175, 676, 1373, 14942, 2439, 3086, 596, 917, 519, 9238, 540, 6180, 326, 1137, 543, 875, 789, 3514, 883, 9140, 543, 4509, 513, 1753, 269, 5457, 267, 1620, 18083, 568, 1898, 2436, 596, 5326, 540, 26539, 513, 18241, 536, 25193, 578, 610, 513, 838, 20160, 544, 6416, 14693, 269, 8414, 2777, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 547, 2422, 519, 18200, 16372, 18185, 454, 1607, 1863, 20251, 9498, 2337, 596, 7447, 707, 10865, 8569, 609, 519, 9030, 543, 1719, 3334, 267, 3959, 9204, 267, 6751, 296, 267, 1753, 26782, 779, 6142, 543, 670, 29151, 12375, 269, 898, 849, 21410, 519, 2040, 2698, 540, 782, 11033, 1519, 835, 6066, 1524, 8569, 267, 2698, 28697, 2316, 2179, 543, 2698, 670, 29151, 12375, 1282, 519, 3003, 993, 677, 1436, 1974, 269, 1411, 616, 4843, 609, 513, 2143, 20251, 8569, 8430, 269, 3509, 21427, 6999, 547, 17108, 741, 20251, 8430, 998, 3063, 11033, 610, 18965, 1979, 22173, 569, 11033, 269, 589, 3349, 6029, 519, 3017, 538, 11033, 267, 2698, 1719, 6976, 543, 993, 677, 1436, 1974, 896, 1312, 14565, 568, 849, 10268, 563, 2080, 616, 513, 1906, 1271, 2798, 547, 948, 596, 1174, 519, 20251, 9273, 912, 268, 634, 3017, 1063, 1753, 1871, 543, 519, 20251, 2179, 568, 2808, 707, 1524, 8569, 269, 1403, 596, 616, 1201, 514, 3496, 707, 10211, 267, 596, 1058, 1521, 519, 1524, 8569, 2179, 607, 519, 9698, 596, 1378, 538, 707, 1753, 563, 268, 1411, 1058, 1491, 883, 2272, 10211, 7182, 593, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12709, 20904, 543, 29766, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 1931, 547, 1174, 519, 1950, 2152, 4478, 519, 7664, 540, 1893, 538, 3656, 8658, 267, 971, 607, 1346, 5941, 538, 519, 645, 739, 1442, 642, 269, 22110, 2023, 6019, 2013, 5018, 538, 519, 1349, 267, 621, 781, 1271, 547, 723, 513, 4396, 9787, 540, 22964, 3901, 923, 543, 4633, 957, 3069, 1369, 519, 2361, 540, 23316, 269, 1452, 6436, 1683, 3407, 2645, 585, 7421, 875, 1913, 543, 5220, 1599, 538, 1808, 3871, 543, 875, 10529, 946, 1893, 547, 9585, 1978, 3853, 780, 303, 4048, 3901, 923, 568, 513, 7936, 540, 23316, 602, 6212, 593, 519, 2081, 538, 799, 2796, 7506, 938, 7664, 540, 1893, 269, 898, 15109, 2188, 971, 607, 519, 10584, 781, 15752, 267, 3838, 1702, 1063, 519, 10584, 543, 26575, 267, 543, 1514, 14908, 950, 8159, 519, 10096, 540, 1913, 543, 19039, 1734, 269, 1280, 1383, 267, 2015, 519, 4845, 834, 4692, 596, 1780, 519, 6070, 8119, 2755, 19016, 1227, 713, 2243, 1223, 581, 6998, 827, 2576, 781, 2702, 547, 1780, 519, 6070, 267, 22964, 3901, 1227, 267, 621, 3252, 607, 513, 30251, 7662, 585, 519, 26575, 547, 1688, 936, 519, 20919, 327, 6033, 269, 4197, 519, 31544, 3344, 540, 1893, 2636, 721, 547, 6330, 1950, 7391, 543, 1118, 2631, 540, 24813, 6898, 780, 11854, 3663, 957, 3069, 267, 2919, 5097, 676, 808, 11482, 269, 21388, 543, 3627, 590, 792, 548, 267, 3217, 22964, 3901, 923, 1256, 2417, 676, 6313, 875, 10529, 946, 1893, 547, 1685, 3527, 269, 4340, 547, 4633, 957, 3069, 267, 972, 616, 1614, 1292, 3334, 547, 1022, 2016, 19039, 766, 281, 1327, 1081, 630, 1492, 4890, 1913, 9275, 1070, 2192, 665, 1081, 630, 6343, 519, 10584, 30242, 547, 798, 998, 741, 1913, 1070, 543, 829, 32643, 1081, 630, 1492, 1198, 540, 519, 1913, 593, 519, 26575, 1040, 1635, 6236, 782, 1614, 3334, 267, 649, 666, 1732, 1174, 519, 3020, 2495, 3297, 513, 1880, 3948, 780, 2690, 3236, 267, 1577, 781, 5659, 519, 1739, 9183, 1210, 4633, 957, 3069, 281, 589, 9614, 6645, 606, 9441, 267, 834, 2791, 616, 17991, 1701, 2311, 1101, 16145, 267, 713, 949, 3100, 899, 513, 2241, 3616, 541, 894, 4845, 17548, 513, 1249, 269, 1717, 267, 2390, 6251, 6514, 267, 649, 1294, 602, 621, 2965, 5713, 2789, 5301, 269, 1306, 513, 1327, 1081, 267, 621, 27711, 1344, 827, 519, 9441, 781, 2816, 4567, 269, 1306, 606, 2192, 665, 1081, 267, 621, 13054, 606, 4013, 26694, 540, 7694, 1107, 519, 16108, 568, 7900, 519, 2962, 540, 20590, 519, 9441, 998, 741, 1913, 269, 7053, 267, 607, 513, 829, 32643, 1081, 267, 621, 814, 4539, 585, 519, 9441, 267, 945, 786, 2693, 1995, 2178, 4664, 543, 1590, 1631, 3343, 1007, 7694, 780, 3086, 267, 1577, 781, 4019, 891, 2035, 547, 519, 645, 739, 1442, 642, 269, 22110, 2023, 6019, 2013, 269, 1879, 6837, 5293, 7170, 23446, 540, 519, 6406, 7126, 2920, 538, 476, 3422, 275, 267, 10238, 1746, 12820, 689, 5806, 3215, 1759, 593, 3023, 267, 789, 17216, 1185, 513, 1808, 4214, 540, 3023, 538, 2247, 269, 1717, 267, 2486, 814, 7960, 3648, 2094, 1287, 267, 3056, 547, 3209, 3156, 540, 519, 1876, 269, 901, 12651, 2055, 827, 2436, 519, 3312, 5497, 2495, 540, 834, 16303, 257, 1869, 10039, 2221, 543, 952, 865, 267, 875, 621, 12211, 547, 4207, 1523, 687, 540, 4008, 3961, 543, 4638, 10066, 780, 3080, 1883, 2460, 540, 4633, 957, 3069, 4143, 1934, 568, 519, 11984, 1063, 21055, 543, 1875, 26569, 1968, 1893, 269, 6884, 267, 10529, 20053, 741, 1913, 547, 581, 3144, 12777, 282, 824, 2053, 267, 789, 2503, 19700, 547, 18505, 3606, 6106, 540, 2495, 269, 13751, 6054, 267, 1519, 4031, 2933, 267, 616, 1419, 10924, 547, 2270, 21055, 1893, 1813, 547, 519, 6101, 2470, 540, 741, 5888, 269, 1809, 1281, 713, 13429, 3180, 909, 896, 22987, 2496, 1103, 2665, 5473, 7130, 1759, 593, 4638, 10066, 610, 4008, 3961, 267, 16208, 519, 2262, 834, 16303, 257, 12777, 1522, 1291, 547, 8753, 602, 2196, 4831, 547, 18322, 1308, 8247, 269, 2991, 782, 267, 950, 7234, 1761, 22853, 547, 3540, 2924, 9086, 1282, 9840, 18631, 519, 3915, 781, 8574, 267, 1082, 2818, 12799, 7150, 602, 789, 1705, 711, 20053, 585, 519, 1876, 547, 3382, 11806, 266, 2043, 269, 8616, 267, 5103, 891, 1028, 584, 1734, 267, 2413, 10470, 723, 5051, 6444, 20038, 585, 20210, 1004, 896, 7170, 23446, 269, 1215, 666, 649, 31363, 891, 9583, 30137, 7158, 2496, 2080, 267, 22964, 3901, 923, 3091, 930, 5813, 883, 2009, 21368, 269, 1403, 649, 2070, 519, 1876, 607, 513, 1106, 540, 12250, 11407, 18170, 676, 2189, 8155, 543, 14908, 267, 1287, 7311, 3741, 540, 17187, 708, 2364, 1155, 12544, 7613, 13296, 10529, 6655, 22466, 10096, 1510, 12799, 17548, 873, 1765, 16673, 948, 12172, 10701, 340, 885, 269, 1280, 3236, 267, 1247, 519, 2165, 834, 16303, 257, 729, 6157, 5921, 547, 3277, 547, 6211, 3604, 1063, 9038, 543, 8951, 267, 6848, 10593, 2509, 3152, 10343, 540, 3309, 9163, 1223, 21230, 17538, 6626, 4027, 6688, 780, 11101, 267, 9301, 519, 3846, 1143, 7915, 538, 1893, 6165, 20383, 609, 2487, 7835, 538, 5042, 23316, 267, 799, 11363, 519, 1909, 540, 1480, 2833, 543, 2686, 10080, 538, 5935, 938, 2790, 20750, 6625, 269, 4935, 267, 15268, 3656, 12496, 547, 2992, 4657, 1514, 8456, 991, 711, 2099, 513, 9097, 22576, 689, 3964, 10883, 1440, 28619, 855, 2864, 606, 10137, 540, 4540, 3741, 16135, 538, 12170, 2963, 3823, 17133, 543, 2792, 3157, 780, 2414, 17412, 267, 18167, 883, 22964, 3901, 923, 543, 4633, 957, 3069, 2488, 2565, 4030, 883, 519, 10848, 3238, 538, 16208, 3656, 5931, 267, 2523, 950, 5185, 609, 29653, 2474, 899, 834, 16303, 257, 538, 7170, 23446, 269, 1635, 14344, 519, 5714, 640, 540, 1893, 543, 8508, 13857, 13220, 1140, 25293, 547, 13865, 10291, 267, 16488, 666, 4739, 3664, 811, 17841, 547, 13346, 1514, 544, 2803, 1510, 10205, 532, 13654, 28975, 540, 13338, 9111, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12791, 540, 11557, 281, 25674, 9293, 267, 23397, 10241, 267, 543, 22731, 5398, 12791, 454, 763, 2495, 540, 3023, 6927, 269, 634, 4612, 633, 12191, 676, 799, 519, 2495, 540, 3023, 568, 5462, 6927, 269, 5637, 540, 891, 941, 693, 3390, 538, 519, 10966, 7040, 779, 2487, 19506, 3375, 538, 645, 739, 1442, 642, 269, 22110, 2023, 6019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1353, 676, 962, 12000, 328, 538, 476, 1220, 276, 5693, 1336, 602, 30126, 3207, 2551, 609, 30126, 3207, 19103, 3622, 723, 2362, 9019, 2557, 3379, 547, 12115, 1399, 2551, 607, 3254, 538, 513, 6668, 1989, 335, 1695, 593, 519, 1318, 269, 901, 23249, 540, 7244, 4386, 811, 1419, 982, 8912, 543, 4481, 585, 3207, 19103, 865, 602, 835, 666, 3207, 593, 1010, 610, 1200, 2427, 269, 3509, 1004, 1572, 3207, 19103, 513, 834, 338, 559, 550, 2068, 257, 1317, 1981, 540, 2348, 1164, 1973, 2604, 3379, 547, 1346, 602, 723, 3339, 1973, 2604, 269, 589, 1353, 676, 962, 12000, 328, 538, 476, 1220, 276, 5693, 1336, 602, 30126, 3207, 1205, 2614, 4351, 3750, 3350, 3207, 267, 1634, 607, 31087, 3207, 269, 4495, 1004, 723, 3144, 3268, 547, 10826, 741, 3207, 19103, 267, 789, 829, 5662, 786, 581, 9286, 607, 2348, 4049, 744, 6347, 4033, 1935, 949, 581, 547, 2932, 3404, 574, 4479, 6482, 540, 519, 3461, 563, 21691, 903, 558, 333, 2762, 568, 513, 2409, 547, 2594, 1560, 3252, 971, 607, 2634, 4481, 585, 3207, 19103, 865, 602, 835, 666, 3207, 593, 1010, 610, 1200, 2427, 269, 898, 568, 4080, 602, 5449, 1977, 7022, 543, 3411, 19907, 540, 621, 814, 513, 1360, 5906, 12343, 855, 1419, 3768, 328, 30938, 269, 898, 568, 5156, 602, 7296, 13251, 21572, 6553, 602, 8309, 5291, 2517, 743, 514, 923, 269, 2449, 2096, 20510, 18350, 2593, 4882, 2748, 7266, 518, 268, 1529, 701, 704, 8686, 320, 268, 25375, 4905, 270, 547, 519, 30126, 3207, 19103, 4810, 676, 519, 2550, 269, 1717, 267, 519, 1981, 540, 2348, 1164, 1377, 540, 30126, 3207, 19103, 568, 3592, 519, 1482, 585, 5256, 543, 4775, 269, 6239, 3207, 19103, 568, 513, 1360, 3978, 2783, 602, 1058, 723, 7525, 1292, 1981, 3815, 540, 3207, 19103, 267, 8716, 2597, 2530, 538, 2550, 723, 2640, 538, 8156, 3207, 19103, 269, 0, 10403, 522, 1777, 2674, 10504, 4574, 267, 3594, 267, 543, 1382, 4574, 519, 522, 1777, 2674, 10504, 910, 522, 1777, 2674, 2486, 519, 522, 1777, 2674, 10504, 814, 1082, 1114, 543, 1360, 1950, 3334, 547, 952, 596, 5635, 543, 4334, 1312, 519, 522, 1777, 2674, 10504, 543, 2038, 2413, 21570, 1282, 519, 476, 1626, 628, 2540, 998, 519, 269, 476, 1220, 278, 23064, 5635, 1299, 4334, 19875, 281, 23882, 267, 522, 1777, 2674, 267, 1299, 678, 11701, 10504, 2679, 3157, 519, 1655, 2707, 540, 1344, 827, 875, 547, 4001, 1557, 1983, 568, 519, 3284, 1158, 1686, 1576, 6609, 23882, 267, 522, 1777, 2674, 267, 543, 678, 11701, 10504, 2679, 3157, 476, 274, 1448, 269, 634, 4473, 543, 2887, 540, 519, 23882, 10504, 476, 274, 3817, 476, 278, 4200, 1913, 562, 4912, 476, 1001, 275, 10710, 3594, 4688, 707, 3594, 1934, 865, 596, 666, 12398, 873, 3533, 269, 22414, 1557, 827, 519, 522, 1777, 2674, 543, 23882, 10504, 269, 595, 322, 1557, 10959, 5037, 476, 272, 281, 5098, 3948, 5037, 476, 273, 281, 13354, 1557, 4388, 281, 950, 9236, 519, 2797, 267, 1514, 543, 2804, 3157, 540, 10504, 2679, 538, 519, 23882, 543, 522, 1777, 2674, 23693, 689, 476, 13970, 271, 268, 5197, 271, 563, 1220, 278, 23064, 5635, 1299, 4334, 19875, 281, 23882, 267, 522, 1777, 2674, 267, 1299, 678, 11701, 10504, 2679, 3157, 2542, 3594, 23882, 267, 522, 1777, 2674, 267, 543, 678, 11701, 10504, 2679, 3157, 476, 274, 1448, 1948, 13598, 6609, 269, 5053, 10504, 543, 519, 522, 1777, 2674, 610, 678, 11701, 10504, 519, 5098, 1590, 581, 12799, 7150, 538, 519, 4367, 610, 519, 3932, 540, 519, 1557, 3284, 1158, 1686, 476, 1220, 278, 18176, 4808, 2243, 476, 274, 13354, 630, 11666, 4240, 264, 9450, 4295, 269, 14424, 543, 4334, 13973, 540, 519, 678, 11701, 543, 522, 1777, 2674, 23693, 12977, 3544, 540, 519, 522, 1777, 2674, 10504, 13736, 1114, 7648, 540, 28991, 982, 519, 522, 1777, 2674, 17710, 713, 3006, 3361, 7526, 1312, 23693, 14201, 1405, 1360, 4359, 269, 634, 5635, 270, 4186, 2858, 630, 322, 261, 322, 264, 1557, 1514, 267, 2804, 264, 540, 10504, 2679, 538, 519, 23882, 10504, 609, 519, 10504, 20671, 3157, 538, 835, 540, 519, 1739, 281, 513, 264, 519, 522, 1777, 2674, 10504, 536, 264, 519, 678, 11701, 10504, 519, 23882, 543, 522, 1777, 2674, 23693, 941, 2147, 538, 602, 789, 941, 1312, 3238, 538, 519, 269, 6739, 5288, 23882, 10504, 689, 476, 13970, 271, 268, 5197, 271, 5635, 1299, 4334, 910, 678, 17892, 267, 522, 1777, 2674, 10504, 476, 13970, 271, 268, 11260, 271, 519, 3123, 543, 21987, 540, 519, 12900, 540, 519, 678, 11701, 10504, 538, 476, 4489, 278, 5635, 543, 4334, 519, 23882, 543, 519, 522, 1777, 2674, 23693, 563, 9288, 327, 5471, 2915, 534, 2915, 534, 476, 272, 7269, 1143, 540, 23882, 543, 522, 1777, 2674, 23693, 281, 621, 568, 811, 982, 513, 21037, 930, 540, 2487, 2413, 621, 568, 2938, 602, 519, 1292, 10486, 1063, 519, 23882, 10504, 543, 519, 522, 1777, 2674, 10504, 941, 22237, 543, 3909, 4145, 269, 4841, 786, 1353, 519, 522, 1777, 2674, 267, 544, 7676, 531, 267, 7117, 532, 267, 23882, 2038, 2413, 267, 2413, 543, 4207, 2053, 513, 1297, 540, 2101, 4798, 616, 9619, 267, 1519, 281, 4008, 543, 28991, 538, 519, 522, 1777, 2674, 10504, 519, 1576, 568, 11295, 865, 607, 547, 5000, 2489, 543, 13354, 5717, 12082, 538, 269, 3690, 5296, 540, 519, 678, 11701, 543, 522, 1777, 2674, 23693, 12977, 3544, 540, 519, 522, 1777, 2674, 10504, 13736, 1114, 7648, 540, 28991, 982, 519, 522, 1777, 2674, 17710, 713, 3006, 3361, 7526, 1312, 23693, 14201, 1405, 1360, 4359, 269, 634, 23882, 543, 519, 522, 1777, 30689, 3710, 1079, 30436, 713, 1557, 814, 1044, 11643, 676, 513, 729, 1360, 9952, 519, 23882, 2366, 9518, 626, 611, 832, 547, 3935, 1125, 519, 13314, 781, 585, 838, 664, 519, 23882, 10504, 1031, 741, 4108, 547, 4228, 538, 519, 5643, 545, 553, 267, 6466, 519, 522, 1777, 2674, 10504, 1031, 741, 269, 634, 1514, 267, 2804, 267, 543, 2797, 3157, 540, 10504, 2679, 538, 519, 23882, 543, 522, 1777, 2674, 23693, 8242, 593, 15292, 476, 274, 267, 476, 1001, 274, 544, 1783, 345, 326, 18649, 811, 538, 519, 522, 1777, 2674, 10504, 267, 789, 1705, 711, 3196, 741, 5396, 547, 6460, 547, 28991, 563, 3528, 345, 14932, 10504, 1557, 1557, 593, 6575, 538, 519, 942, 540, 519, 676, 345, 14932, 519, 522, 1777, 2674, 10504, 281, 519, 522, 1777, 2674, 15913, 267, 538, 799, 519, 1764, 540, 31503, 543, 540, 533, 16820, 593, 519, 23882, 10504, 5635, 1299, 4334, 910, 678, 17892, 563, 302, 1777, 2674, 10504, 3594, 281, 936, 476, 5197, 267, 1822, 522, 1777, 2674, 10504, 3594, 829, 277, 13354, 1557, 538, 519, 942, 1974, 540, 476, 13970, 271, 547, 476, 5197, 271, 543, 22237, 3157, 540, 10504, 2679, 538, 519, 23882, 10504, 543, 519, 522, 1777, 2674, 10504, 941, 20833, 2147, 538, 602, 789, 1312, 941, 909, 543, 4947, 1158, 7060, 269, 14424, 543, 4334, 23882, 10504, 543, 678, 11701, 10504, 1282, 476, 13970, 271, 268, 5197, 271, 855, 952, 649, 5635, 519, 678, 11701, 10504, 609, 519, 23882, 267, 2823, 1872, 12956, 267, 21099, 5635, 519, 522, 1777, 2674, 10504, 610, 519, 678, 11701, 10504, 547, 519, 23882, 10504, 269, 14424, 270, 4186, 2858, 1557, 2875, 1557, 5439, 8846, 281, 522, 1777, 2674, 10504, 543, 10504, 2679, 910, 15293, 1603, 3594, 7429, 519, 23882, 267, 519, 522, 1777, 2674, 10504, 607, 513, 2244, 2861, 10504, 602, 13856, 519, 1647, 7532, 1318, 909, 547, 9456, 21570, 563, 25456, 13354, 1557, 2055, 5635, 519, 1184, 540, 10504, 2679, 538, 23882, 13314, 543, 2909, 7588, 1063, 476, 13970, 271, 543, 476, 11260, 271, 5635, 519, 7771, 540, 519, 7117, 532, 609, 519, 7771, 540, 519, 522, 1777, 2674, 10504, 5635, 519, 1909, 540, 16918, 543, 536, 28123, 12251, 773, 2021, 609, 2539, 1362, 2021, 538, 21570, 269, 7442, 1158, 1686, 13354, 543, 15364, 543, 1689, 27492, 6066, 630, 764, 582, 264, 9168, 3284, 1158, 1686, 1557, 2055, 476, 275, 476, 1220, 280, 15364, 543, 1689, 27492, 6066, 1557, 2243, 23882, 10504, 609, 519, 10504, 20671, 269, 7348, 1557, 910, 627, 777, 3594, 275, 689, 1686, 1158, 1277, 693, 5722, 12647, 1164, 1153, 476, 272, 519, 23882, 543, 522, 1777, 2674, 10504, 5098, 2987, 1312, 519, 23693, 540, 519, 23882, 543, 519, 522, 1777, 2674, 2881, 802, 267, 17710, 7471, 3909, 2093, 547, 17854, 543, 2226, 4341, 269, 10738, 519, 1974, 1106, 476, 13970, 271, 268, 5197, 271, 267, 5635, 519, 3157, 630, 1122, 2797, 267, 1514, 267, 2804, 264, 540, 10504, 2679, 538, 519, 23882, 10504, 609, 519, 10504, 20671, 3157, 538, 835, 540, 519, 1739, 281, 519, 522, 1777, 2674, 10504, 610, 519, 678, 11701, 10504, 269, 1215, 941, 519, 522, 1777, 2674, 10504, 543, 23882, 10504, 1114, 1557, 585, 3284, 16447, 4832, 6780, 543, 1775, 991, 948, 910, 1029, 268, 1775, 6415, 9277, 547, 798, 1079, 3604, 543, 835, 16726, 2687, 547, 1250, 4116, 865, 1775, 4312, 2944, 835, 875, 941, 519, 23882, 543, 522, 1777, 2674, 10504, 1114, 4882, 25630, 269, 0, 324, 6123, 540, 1148, 454, 1607, 4605, 814, 3515, 1317, 519, 5862, 18116, 616, 538, 513, 3337, 540, 513, 1899, 855, 530, 8283, 563, 763, 7206, 814, 3337, 1317, 621, 568, 1500, 909, 540, 1114, 5546, 899, 32077, 639, 262, 543, 25671, 6950, 799, 616, 513, 1106, 540, 12166, 3337, 563, 763, 7206, 814, 606, 1383, 540, 1106, 1317, 519, 8075, 538, 519, 7206, 568, 513, 2497, 602, 596, 666, 3802, 1472, 267, 1413, 1657, 543, 4283, 873, 563, 763, 7206, 568, 606, 1383, 540, 1871, 1317, 621, 2982, 519, 3043, 1858, 540, 519, 7206, 7930, 3478, 18632, 607, 621, 4422, 547, 519, 1318, 563, 1607, 7206, 814, 519, 3693, 540, 2230, 1317, 621, 814, 513, 3109, 4282, 543, 2306, 519, 1268, 1402, 856, 811, 563, 763, 7206, 814, 9403, 267, 4481, 22466, 9403, 267, 1317, 593, 519, 4054, 621, 814, 2370, 27894, 593, 519, 13626, 563, 1607, 7206, 814, 513, 2603, 540, 2681, 547, 621, 267, 610, 27280, 547, 621, 267, 1317, 621, 814, 4778, 8151, 689, 10538, 267, 1769, 3039, 267, 10538, 3092, 563, 290, 1042, 1080, 281, 2353, 2923, 454, 1607, 3593, 19922, 814, 1044, 2813, 676, 606, 4830, 3791, 5428, 543, 949, 711, 2141, 2099, 519, 5784, 540, 519, 5238, 267, 7396, 2630, 267, 945, 723, 13859, 519, 1543, 563, 305, 5819, 7460, 7467, 454, 301, 558, 3120, 7467, 540, 3203, 454, 13043, 2378, 281, 6259, 7467, 540, 7073, 3203, 454, 763, 3203, 4659, 540, 9628, 454, 27770, 7246, 634, 7467, 540, 7073, 3203, 454, 300, 340, 2763, 592, 10878, 388, 505, 1308, 25362, 330, 5460, 531, 454, 9558, 17218, 609, 5616, 0, 14276, 1242, 676, 700, 559, 1695, 3627, 8725, 538, 21145, 15206, 693, 13723, 267, 5988, 476, 2641, 560, 476, 1001, 279, 269, 6997, 8215, 609, 1547, 476, 9032, 270, 1911, 15951, 676, 476, 21878, 3755, 454, 1607, 3561, 3296, 6770, 2059, 476, 1789, 8666, 540, 15206, 267, 930, 540, 873, 616, 1519, 26271, 27252, 20587, 15873, 3427, 4569, 26964, 476, 1321, 269, 476, 276, 715, 23336, 589, 476, 274, 7689, 11314, 15026, 2349, 1678, 7089, 20514, 1556, 6452, 1393, 778, 476, 273, 269, 4635, 589, 17677, 7089, 7412, 269, 1773, 5217, 31353, 2201, 7089, 7412, 8018, 17773, 1656, 24908, 563, 5472, 7126, 27616, 269, 5071, 730, 30931, 267, 12478, 543, 782, 23345, 2326, 676, 3755, 616, 519, 3959, 540, 741, 9757, 5411, 269, 6096, 15206, 543, 5131, 28826, 269, 2353, 7126, 1234, 951, 539, 563, 15100, 476, 1001, 277, 6096, 15206, 543, 5131, 28826, 267, 29651, 269, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 0, 11900, 1068, 539, 676, 808, 565, 773, 3244, 332, 976, 538, 21145, 15206, 693, 13628, 267, 4728, 476, 4905, 560, 476, 1001, 279, 269, 22105, 3022, 609, 1547, 476, 9032, 270, 1911, 15951, 676, 476, 28796, 3755, 454, 1607, 2022, 3296, 6770, 2059, 476, 4375, 17552, 540, 15206, 267, 930, 540, 873, 616, 1519, 18527, 10406, 18827, 1656, 25513, 6096, 6103, 269, 26636, 5733, 11352, 2986, 20491, 3487, 476, 272, 11352, 2986, 15051, 26964, 269, 31353, 11352, 2986, 15051, 5565, 17778, 589, 10783, 2996, 8274, 269, 17006, 1656, 16265, 24219, 24908, 17773, 589, 476, 2412, 563, 5472, 7126, 27616, 269, 5071, 730, 30931, 267, 12478, 543, 782, 23345, 2326, 676, 3755, 616, 519, 3959, 540, 741, 9757, 5411, 269, 6096, 15206, 543, 5131, 28826, 269, 2353, 7126, 1234, 951, 539, 563, 15100, 476, 1001, 277, 6096, 15206, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1346, 6082, 6854, 2390, 519, 535, 2590, 525, 540, 519, 3486, 2146, 267, 855, 585, 1346, 2808, 547, 29937, 519, 6574, 3310, 607, 1134, 269, 670, 13783, 1142, 824, 267, 1169, 4182, 267, 25473, 543, 9425, 18177, 267, 18368, 6340, 267, 786, 3895, 2417, 12477, 543, 3972, 1141, 12477, 543, 3972, 949, 723, 1044, 5892, 15877, 269, 3143, 3476, 666, 649, 723, 5238, 899, 519, 4139, 22518, 7040, 1141, 267, 1247, 824, 6082, 616, 4371, 547, 2272, 267, 519, 2136, 2276, 666, 1232, 787, 621, 267, 11716, 922, 4681, 267, 543, 21279, 621, 267, 543, 865, 1022, 3020, 3070, 1131, 723, 547, 723, 9316, 543, 7029, 689, 1346, 1034, 9565, 540, 6082, 538, 1931, 547, 10996, 643, 1125, 7029, 676, 811, 11688, 26938, 2477, 269, 589, 5963, 968, 17220, 1488, 4226, 1674, 26323, 2223, 607, 649, 1522, 1289, 621, 267, 540, 3084, 543, 3486, 2797, 267, 711, 2804, 267, 10083, 267, 4830, 540, 1022, 1699, 1560, 610, 13737, 4182, 568, 267, 594, 1589, 267, 2556, 585, 519, 1296, 543, 5513, 2827, 2943, 547, 2097, 563, 1607, 1826, 540, 5647, 267, 835, 799, 1522, 1118, 519, 1390, 267, 1279, 11546, 611, 4914, 3609, 1390, 3798, 7773, 16907, 577, 731, 11237, 267, 538, 13447, 609, 824, 2242, 538, 3486, 5238, 543, 5650, 267, 540, 799, 594, 4076, 5892, 13890, 543, 1413, 4464, 547, 1163, 15929, 2390, 2417, 538, 519, 2104, 267, 1223, 948, 547, 2327, 519, 1439, 540, 24476, 543, 519, 2132, 540, 20320, 1966, 6061, 543, 519, 10124, 602, 2097, 689, 1565, 543, 1620, 1114, 9082, 543, 3871, 811, 4625, 269, 898, 1131, 6895, 6381, 1472, 519, 1158, 267, 607, 865, 1082, 3486, 4703, 798, 2907, 267, 4180, 602, 2695, 629, 7632, 798, 711, 15583, 622, 883, 2407, 1532, 31500, 2152, 610, 16839, 267, 602, 10257, 6811, 543, 13668, 616, 711, 3541, 3660, 610, 25323, 676, 519, 824, 5428, 610, 6105, 267, 543, 547, 948, 547, 1106, 267, 1247, 13604, 11319, 585, 267, 14942, 3435, 602, 798, 711, 1331, 519, 10072, 540, 835, 5428, 689, 513, 1880, 4182, 267, 610, 1256, 513, 7104, 540, 6082, 1522, 581, 2938, 543, 4857, 4505, 593, 676, 13222, 540, 6082, 609, 1100, 605, 14620, 658, 2960, 538, 519, 3014, 267, 607, 621, 941, 563, 4415, 24476, 9619, 267, 543, 3486, 2792, 543, 8994, 2463, 811, 3844, 547, 519, 1148, 540, 3486, 20320, 267, 2804, 267, 543, 19493, 9316, 267, 519, 2104, 1223, 1360, 1134, 581, 3833, 1114, 689, 519, 1459, 269, 8616, 519, 2104, 786, 1174, 713, 2022, 4149, 324, 1718, 2622, 2782, 5736, 267, 538, 519, 2796, 540, 519, 3152, 1686, 540, 519, 1158, 267, 607, 835, 538, 799, 519, 1004, 540, 519, 3618, 3459, 547, 5963, 5431, 538, 513, 1483, 267, 15889, 1259, 602, 2112, 729, 538, 1100, 1259, 606, 2626, 547, 3486, 4655, 1022, 811, 982, 14477, 8165, 609, 1004, 538, 707, 8378, 267, 610, 602, 596, 2743, 2059, 707, 1259, 1142, 1554, 616, 10257, 2994, 585, 12003, 609, 18497, 610, 14375, 2152, 543, 7526, 269, 898, 786, 849, 1174, 602, 267, 538, 2921, 519, 1900, 2476, 689, 2757, 5208, 267, 2757, 13137, 267, 543, 2757, 1016, 24503, 566, 267, 519, 1034, 3532, 6082, 540, 519, 1158, 267, 899, 519, 2136, 2276, 267, 1705, 711, 3845, 3294, 689, 891, 22225, 540, 13137, 2484, 2614, 267, 543, 865, 6038, 1612, 617, 1221, 873, 998, 519, 7254, 794, 532, 1184, 282, 713, 2104, 543, 922, 1004, 786, 23248, 1174, 1932, 267, 689, 519, 13542, 540, 713, 942, 1974, 267, 875, 547, 1332, 3564, 891, 31716, 585, 519, 19160, 540, 513, 10930, 267, 811, 18756, 267, 6198, 543, 2635, 3486, 2146, 540, 6082, 563, 26596, 2388, 616, 6411, 540, 2413, 3046, 8663, 1143, 267, 6964, 543, 538, 24320, 1047, 607, 20320, 10124, 602, 948, 6082, 547, 2057, 11439, 4655, 282, 789, 849, 948, 6082, 547, 2057, 13167, 4890, 3435, 585, 2042, 1312, 2025, 543, 1007, 269, 1358, 723, 1100, 1747, 1369, 23408, 7214, 19070, 531, 540, 23372, 1022, 3476, 267, 543, 1058, 581, 23987, 538, 3870, 540, 3152, 2518, 32404, 267, 9316, 267, 2792, 267, 543, 1034, 540, 782, 267, 6568, 267, 865, 602, 649, 798, 711, 1439, 909, 11173, 547, 19439, 1804, 2220, 23411, 540, 1004, 585, 519, 3046, 8663, 748, 30468, 540, 741, 17710, 543, 6608, 269, 0, 11742, 3017, 538, 11894, 281, 18421, 596, 991, 547, 917, 454, 6701, 596, 4058, 835, 286, 13488, 538, 519, 11894, 286, 3973, 596, 1058, 9090, 1832, 606, 3750, 593, 519, 942, 3017, 269, 11894, 568, 538, 519, 8109, 3864, 5384, 18630, 630, 302, 292, 313, 1070, 799, 14687, 547, 27635, 266, 274, 269, 1809, 1018, 4010, 1281, 602, 1611, 585, 707, 7552, 286, 769, 713, 2376, 596, 786, 1265, 856, 3388, 596, 991, 547, 917, 827, 519, 942, 3017, 538, 11894, 543, 875, 1655, 547, 4188, 547, 621, 563, 308, 2955, 570, 14660, 7288, 6614, 781, 942, 7997, 454, 307, 584, 4486, 5205, 8109, 3864, 5384, 630, 292, 4488, 1070, 799, 14687, 547, 27635, 266, 274, 269, 901, 1797, 602, 538, 11894, 621, 568, 2141, 1614, 3108, 2663, 982, 18509, 3990, 17629, 5384, 630, 7473, 290, 1040, 589, 2027, 4183, 540, 11894, 568, 602, 621, 1281, 711, 946, 21765, 9494, 942, 269, 2755, 1082, 2477, 723, 741, 29167, 538, 1862, 14400, 1403, 596, 1847, 4464, 676, 835, 5662, 267, 519, 942, 538, 11894, 13978, 519, 1482, 782, 1032, 5180, 563, 5591, 4832, 942, 1107, 606, 5413, 585, 17631, 454, 307, 584, 4486, 781, 3586, 942, 7997, 666, 2965, 581, 606, 5413, 585, 17631, 269, 4595, 519, 942, 3085, 1405, 1689, 4005, 958, 267, 596, 1810, 1405, 723, 547, 5855, 827, 3606, 942, 2242, 1282, 707, 7552, 269, 901, 568, 3226, 3730, 952, 596, 2097, 689, 513, 2197, 609, 21765, 9494, 942, 267, 607, 596, 1152, 723, 547, 2015, 519, 942, 3017, 2899, 563, 5522, 8911, 707, 12625, 543, 22576, 454, 2691, 4058, 707, 19426, 267, 621, 568, 1271, 547, 1832, 519, 942, 3017, 538, 2247, 269, 6744, 519, 2199, 12625, 543, 22576, 2053, 538, 11894, 543, 5635, 873, 609, 707, 1753, 942, 269, 901, 786, 948, 596, 2057, 1022, 21390, 950, 1433, 532, 543, 28842, 7891, 971, 607, 1360, 3735, 2855, 11040, 610, 8977, 999, 563, 19522, 585, 15268, 547, 519, 1007, 942, 7997, 454, 268, 6969, 519, 13488, 547, 4188, 281, 8347, 7930, 14577, 707, 3207, 8430, 513, 1906, 2395, 1354, 596, 4734, 563, 268, 8752, 4598, 281, 6129, 2775, 2337, 707, 1560, 3082, 547, 519, 1007, 942, 7997, 811, 3533, 269, 4495, 596, 12446, 267, 6108, 942, 13964, 563, 268, 2672, 2310, 3207, 281, 5269, 2386, 596, 1205, 2614, 3207, 519, 3781, 1354, 707, 8184, 563, 8002, 8481, 543, 3232, 4058, 454, 31535, 519, 942, 3017, 568, 849, 1271, 585, 4058, 707, 1554, 538, 11894, 269, 18845, 267, 14060, 543, 1857, 3560, 538, 11894, 1246, 2199, 942, 269, 4855, 856, 827, 873, 538, 4434, 14956, 2287, 5662, 560, 334, 1544, 707, 15143, 9935, 563, 31636, 609, 1753, 454, 2252, 596, 1616, 547, 3251, 538, 5905, 609, 2828, 543, 1920, 1394, 1753, 1282, 707, 7552, 267, 1491, 519, 942, 3017, 883, 2272, 269, 21480, 7125, 610, 3381, 669, 1846, 693, 2053, 602, 616, 20102, 10375, 563, 763, 942, 3017, 538, 11894, 666, 581, 513, 3787, 540, 513, 4161, 693, 1101, 267, 855, 568, 2653, 547, 7753, 609, 513, 2370, 4058, 269, 1635, 4466, 856, 519, 942, 7997, 538, 4434, 543, 14577, 707, 3207, 8430, 9935, 267, 596, 666, 2057, 15191, 18848, 543, 2972, 707, 3251, 538, 11894, 547, 519, 2407, 652, 269, 2060, 1100, 21765, 9494, 942, 1689, 267, 11894, 3091, 519, 5413, 540, 3586, 942, 267, 799, 29776, 2951, 4058, 543, 2337, 596, 1118, 519, 1034, 540, 707, 942, 538, 713, 4241, 2197, 563, 6701, 596, 4058, 707, 1985, 7552, 547, 11894, 286, 5213, 1405, 7340, 547, 3815, 538, 519, 942, 3017, 950, 4058, 707, 7552, 547, 2327, 513, 2566, 6954, 543, 20605, 1995, 2336, 7078, 540, 942, 3017, 1063, 5125, 543, 11894, 454, 763, 942, 3017, 1063, 5125, 543, 11894, 949, 4268, 4470, 593, 519, 942, 540, 1032, 267, 607, 5125, 2853, 21765, 9494, 942, 267, 1247, 11894, 15387, 8109, 3864, 5384, 630, 302, 292, 313, 267, 27635, 266, 274, 264, 782, 1032, 5180, 269, 3371, 568, 513, 6405, 1383, 547, 9414, 519, 942, 3017, 912, 7078, 540, 519, 942, 3017, 454, 4131, 781, 2161, 621, 781, 519, 476, 272, 560, 269, 5147, 269, 2311, 713, 1448, 267, 5125, 568, 538, 6239, 3864, 14400, 5384, 630, 290, 12239, 267, 27635, 266, 273, 1916, 268, 769, 5125, 630, 290, 12239, 267, 27635, 266, 273, 2567, 1879, 621, 568, 476, 1321, 281, 876, 29869, 538, 5125, 2676, 268, 769, 11894, 630, 302, 292, 313, 267, 27635, 266, 274, 2567, 1772, 621, 538, 519, 11894, 2907, 476, 1691, 281, 876, 533, 6230, 563, 763, 942, 3017, 568, 1614, 3108, 538, 4832, 563, 7078, 585, 519, 5162, 3275, 454, 3086, 1577, 781, 1413, 693, 519, 476, 272, 269, 5412, 269, 2311, 713, 1448, 267, 5125, 23564, 1394, 547, 6239, 3864, 5384, 630, 4753, 307, 267, 27635, 266, 272, 1916, 268, 769, 5125, 630, 4753, 307, 267, 27635, 266, 272, 2567, 1879, 621, 568, 476, 1321, 281, 876, 29869, 538, 5125, 2676, 268, 769, 11894, 630, 302, 292, 313, 267, 27635, 266, 274, 2567, 1772, 621, 1869, 476, 1691, 281, 876, 533, 6230, 269, 538, 519, 12784, 538, 570, 14660, 7288, 6614, 888, 763, 942, 3017, 849, 3788, 15604, 693, 1614, 3108, 267, 607, 11894, 1281, 711, 1689, 4832, 942, 563, 3725, 23428, 585, 17631, 454, 4322, 1806, 1397, 875, 1271, 621, 568, 585, 17631, 543, 1870, 1004, 547, 1491, 883, 2272, 519, 942, 3017, 1063, 5125, 543, 11894, 547, 2057, 21390, 950, 4058, 7125, 267, 11401, 267, 19426, 610, 1866, 11242, 547, 2057, 269, 17607, 540, 891, 942, 3604, 568, 3226, 1271, 538, 1931, 547, 5968, 3927, 543, 1544, 707, 3251, 538, 1312, 2477, 563, 25889, 547, 519, 942, 1689, 538, 11894, 281, 1323, 5813, 883, 3375, 6194, 454, 307, 584, 4486, 814, 1500, 513, 1713, 1689, 547, 922, 942, 1689, 538, 2487, 1296, 269, 634, 2601, 585, 519, 20552, 540, 21765, 9494, 942, 538, 11894, 6013, 538, 1585, 2188, 267, 1312, 2804, 543, 1514, 269, 3371, 649, 2491, 519, 4282, 543, 4128, 3297, 713, 3375, 543, 875, 621, 666, 1860, 707, 7552, 563, 3963, 11894, 589, 2513, 1639, 4303, 2775, 30540, 5384, 454, 268, 6052, 9494, 281, 2290, 540, 519, 1292, 4128, 585, 12561, 21765, 9494, 942, 538, 1082, 2477, 729, 547, 4688, 1648, 269, 1717, 267, 2090, 538, 11894, 723, 3254, 602, 4890, 1648, 9806, 616, 8766, 610, 519, 4397, 2640, 723, 711, 1044, 6913, 563, 268, 22217, 4328, 4948, 1272, 281, 634, 3586, 1689, 1063, 4832, 543, 5162, 942, 3366, 547, 10539, 538, 1004, 781, 4948, 2729, 269, 634, 3586, 942, 7997, 16881, 4058, 538, 519, 1857, 543, 4357, 9922, 267, 2523, 538, 2127, 971, 607, 6283, 267, 2069, 543, 1870, 4238, 563, 268, 2657, 19047, 281, 3194, 814, 3254, 602, 519, 942, 1689, 666, 1764, 1480, 536, 1640, 15219, 916, 267, 799, 666, 1291, 547, 1072, 2042, 269, 19693, 942, 568, 5497, 547, 948, 7413, 891, 2942, 2360, 563, 25842, 593, 707, 7552, 454, 268, 12020, 3354, 281, 634, 3586, 942, 7997, 538, 11894, 3091, 17631, 4058, 3354, 607, 789, 798, 711, 723, 547, 5855, 827, 4657, 519, 942, 1282, 741, 3251, 563, 268, 17797, 618, 540, 8184, 2053, 281, 22947, 2053, 1063, 5125, 543, 11894, 949, 1689, 4470, 593, 519, 942, 540, 1032, 607, 5125, 5170, 547, 2259, 21765, 9494, 942, 269, 901, 1058, 581, 3144, 883, 2272, 950, 1433, 532, 543, 4058, 563, 19522, 585, 17631, 454, 268, 4855, 856, 538, 4434, 281, 6969, 596, 2951, 267, 2638, 519, 1699, 942, 10851, 543, 519, 942, 3017, 1063, 5125, 543, 11894, 563, 268, 4643, 707, 12625, 281, 6875, 519, 942, 3017, 883, 2272, 2390, 12625, 547, 2057, 15191, 18848, 543, 1118, 519, 1034, 540, 707, 3251, 538, 11894, 563, 763, 20552, 540, 21765, 9494, 942, 538, 11894, 729, 1500, 547, 14458, 4948, 1272, 267, 7413, 2009, 1072, 4220, 543, 2087, 1648, 4398, 269, 1280, 17631, 267, 713, 3375, 3091, 519, 5413, 540, 4058, 3354, 269, 1635, 1620, 519, 942, 3017, 543, 922, 2360, 593, 707, 13488, 1403, 596, 1491, 713, 883, 2272, 267, 596, 666, 2972, 707, 3251, 538, 11894, 1510, 1022, 2101, 16369, 7965, 563, 14532, 540, 519, 942, 1689, 538, 11894, 454, 763, 3778, 634, 942, 1689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 1730, 6892, 1109, 31299, 1730, 6892, 1109, 1730, 8873, 319, 2387, 14310, 282, 31299, 319, 1109, 319, 2260, 30905, 3009, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 14611, 263, 21803, 26514, 26571, 264, 1730, 346, 1730, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 476, 1724, 267, 544, 815, 476, 3066, 282, 1730, 6892, 1109, 1730, 3519, 18030, 269, 2237, 18118, 263, 2381, 3065, 306, 13645, 3799, 267, 544, 4297, 282, 31299, 31299, 319, 1109, 319, 2260, 901, 3009, 568, 8329, 676, 476, 3066, 288, 329, 599, 298, 20783, 26384, 1012, 808, 822, 2444, 2815, 692, 12181, 692, 20479, 1384, 319, 280, 26384, 11742, 29203, 281, 744, 263, 8421, 263, 2381, 5416, 14720, 21875, 288, 5060, 18416, 6611, 281, 744, 263, 272, 2020, 9616, 602, 519, 1657, 717, 7517, 344, 3070, 3085, 1406, 2141, 3132, 606, 6099, 1267, 269, 1280, 1383, 267, 952, 519, 3403, 568, 476, 3607, 1535, 476, 1789, 267, 519, 1657, 5690, 1131, 3132, 3977, 476, 277, 267, 855, 649, 666, 2759, 519, 1957, 883, 476, 276, 10945, 454, 272, 264, 8422, 10945, 540, 2450, 476, 1321, 1535, 476, 1321, 454, 273, 264, 5565, 10945, 540, 2450, 476, 1240, 1535, 476, 1240, 780, 12552, 547, 5395, 613, 344, 966, 269, 3212, 637, 15442, 339, 572, 341, 585, 15738, 856, 519, 1657, 2013, 563, 1607, 2376, 568, 8329, 676, 589, 691, 328, 318, 305, 27821, 543, 918, 592, 1372, 788, 19453, 17347, 1638, 328, 5091, 6831, 18344, 1040, 1403, 596, 899, 717, 2465, 802, 1721, 294, 2465, 802, 543, 1131, 899, 547, 3565, 267, 596, 666, 849, 2328, 606, 2376, 1210, 2328, 269, 613, 4060, 1721, 613, 4060, 3820, 610, 13875, 707, 2376, 547, 2689, 14482, 600, 287, 613, 4060, 1721, 613, 4060, 3820, 269, 6423, 707, 2376, 17729, 593, 519, 717, 2465, 802, 1721, 294, 2465, 802, 1292, 2985, 543, 948, 824, 717, 2465, 802, 780, 6124, 13979, 18737, 476, 1109, 2080, 267, 6271, 1935, 547, 4194, 519, 1966, 540, 5969, 513, 1957, 883, 519, 5934, 1297, 540, 10945, 568, 547, 946, 6422, 5752, 269, 1284, 666, 1711, 513, 476, 273, 291, 3349, 1141, 519, 9343, 2099, 519, 2009, 7306, 540, 519, 1957, 543, 519, 9587, 2099, 519, 2450, 540, 519, 4009, 649, 1616, 547, 2759, 269, 3973, 649, 666, 6445, 519, 3349, 5377, 5346, 267, 4358, 689, 519, 10545, 1957, 2450, 543, 519, 10545, 4009, 2450, 267, 543, 1210, 519, 3105, 2418, 547, 12337, 519, 6099, 3070, 585, 519, 1699, 1957, 2450, 543, 4009, 2450, 780, 4131, 779, 2161, 649, 723, 513, 1957, 540, 2450, 562, 1535, 544, 267, 543, 649, 1616, 547, 1265, 519, 5934, 1297, 540, 10945, 649, 666, 2759, 689, 621, 269, 1284, 666, 5581, 513, 1599, 535, 9217, 267, 795, 264, 602, 4564, 519, 5934, 1297, 540, 10945, 649, 666, 2759, 689, 513, 1957, 540, 2450, 1775, 1535, 795, 269, 3973, 519, 24088, 6935, 666, 581, 2854, 607, 1384, 325, 9217, 267, 795, 264, 815, 1295, 6600, 9217, 10275, 267, 795, 264, 1341, 535, 17347, 267, 795, 4297, 585, 737, 538, 2039, 263, 272, 267, 1775, 994, 266, 1295, 6600, 9217, 267, 795, 10275, 264, 1341, 535, 9217, 267, 737, 4297, 585, 737, 538, 2039, 263, 272, 267, 795, 994, 266, 476, 272, 952, 1775, 2652, 795, 692, 763, 1101, 1079, 2474, 5330, 547, 5969, 519, 1957, 23276, 543, 19794, 267, 543, 519, 2063, 2165, 14687, 547, 5969, 513, 4009, 540, 2450, 1775, 1535, 1775, 630, 528, 795, 1535, 795, 264, 689, 519, 1957, 269, 1284, 666, 946, 713, 24088, 6935, 547, 6445, 519, 3349, 267, 543, 519, 6099, 3070, 786, 581, 538, 519, 5377, 28878, 7944, 780, 19350, 568, 519, 6388, 540, 519, 6422, 5752, 1935, 1384, 1012, 595, 10030, 692, 2387, 258, 514, 2850, 12181, 258, 514, 2850, 12181, 258, 514, 2850, 12181, 258, 514, 2850, 12181, 6748, 319, 2387, 12849, 10628, 319, 2387, 560, 323, 32547, 1109, 319, 2260, 9577, 547, 1265, 519, 5934, 1297, 540, 19896, 10945, 2838, 547, 6445, 606, 562, 1535, 544, 13551, 1730, 842, 319, 2387, 2381, 3065, 306, 13645, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 332, 264, 2715, 1730, 6892, 1109, 19896, 8073, 513, 476, 273, 291, 667, 303, 5044, 547, 4558, 519, 5934, 10945, 2838, 1730, 6892, 1109, 1730, 19066, 285, 31185, 3799, 1341, 476, 272, 267, 6152, 283, 1730, 842, 1730, 285, 263, 332, 1341, 476, 272, 267, 476, 271, 4297, 282, 1730, 6892, 1109, 319, 1109, 319, 6892, 1109, 19896, 31230, 998, 9343, 543, 9587, 1730, 6892, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 272, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 1730, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 329, 815, 476, 272, 282, 795, 10922, 544, 282, 795, 10030, 264, 2715, 1730, 24748, 1109, 1730, 604, 319, 25464, 328, 2652, 795, 264, 2715, 1730, 7673, 13725, 1109, 19896, 1403, 519, 13551, 568, 2907, 513, 1730, 7673, 13725, 1109, 19896, 4009, 267, 835, 4009, 568, 2877, 1730, 7673, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 476, 272, 282, 1730, 24748, 1109, 31299, 12181, 12828, 319, 2387, 346, 1730, 7673, 13725, 1109, 19896, 19461, 1125, 609, 5021, 1871, 1730, 7673, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 21850, 318, 7246, 311, 282, 1730, 7673, 13725, 1109, 19896, 8347, 782, 2009, 10943, 1080, 543, 1265, 519, 5934, 1730, 7673, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 330, 815, 476, 272, 282, 737, 2999, 1775, 282, 737, 10030, 264, 2715, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 1295, 5560, 335, 5157, 6012, 329, 3910, 31185, 5157, 910, 737, 6012, 329, 316, 1341, 31185, 25208, 6012, 329, 316, 5148, 1730, 7673, 13725, 1109, 31299, 1730, 7673, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 330, 815, 476, 272, 282, 737, 2999, 795, 282, 737, 10030, 264, 2715, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 1295, 5560, 335, 5157, 6012, 329, 3910, 31185, 5157, 6012, 329, 910, 737, 316, 1341, 31185, 5157, 6012, 330, 316, 5148, 1730, 7673, 13725, 1109, 31299, 1730, 24748, 1109, 31299, 1730, 13725, 1109, 31299, 1730, 6892, 1109, 31299, 1730, 6892, 1109, 1730, 8873, 319, 2387, 31389, 19559, 6012, 332, 22049, 31299, 319, 1109, 319, 842, 319, 2387, 10852, 3890, 2715, 1730, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 476, 1724, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 332, 815, 476, 3066, 282, 1730, 6892, 1109, 1730, 322, 719, 24177, 5934, 306, 13645, 3799, 267, 544, 264, 24177, 1439, 331, 282, 1109, 12181, 2260, 19243, 281, 476, 280, 1730, 6892, 1109, 1730, 8873, 319, 2387, 271, 282, 31299, 26384, 1012, 10084, 692, 2387, 21504, 319, 2387, 5035, 319, 2387, 14611, 2715, 1730, 6892, 1109, 19896, 9577, 547, 1265, 519, 5934, 1297, 540, 1730, 6892, 1109, 19896, 10945, 2838, 547, 6445, 606, 562, 1535, 544, 13551, 1730, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 842, 319, 2387, 2381, 3065, 306, 13645, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 332, 264, 2715, 1730, 13725, 1109, 19896, 8073, 513, 476, 273, 291, 667, 303, 5044, 547, 4558, 519, 5934, 10945, 2838, 1730, 13725, 1109, 1730, 842, 1730, 314, 6012, 316, 31185, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 333, 1341, 12181, 272, 1730, 6012, 332, 1341, 12181, 272, 1730, 22049, 1730, 13725, 1109, 319, 1109, 319, 13725, 1109, 19896, 31230, 998, 9343, 543, 9587, 1730, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 1730, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 329, 815, 12181, 272, 1730, 282, 795, 10922, 544, 282, 795, 10030, 264, 2715, 1730, 7673, 13725, 1109, 1730, 604, 319, 25464, 328, 2652, 795, 264, 2715, 1730, 18987, 6892, 1109, 19896, 1403, 519, 13551, 568, 2907, 513, 4009, 267, 835, 4009, 568, 2877, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 12181, 272, 1730, 282, 1730, 7673, 13725, 1109, 31299, 12181, 12828, 319, 2387, 346, 1730, 18987, 6892, 1109, 19896, 19461, 1125, 609, 5021, 1871, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 6715, 518, 269, 7246, 311, 318, 309, 3201, 16604, 282, 1730, 18987, 6892, 1109, 19896, 8347, 782, 2009, 10943, 1080, 543, 1265, 519, 5934, 1730, 18987, 6892, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 330, 815, 12181, 272, 1730, 282, 737, 2999, 1775, 282, 737, 10030, 264, 2715, 1730, 18987, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 4569, 269, 2381, 5560, 335, 5157, 6012, 329, 3910, 31185, 5157, 910, 737, 6012, 329, 316, 1341, 31185, 25208, 6012, 329, 316, 5148, 1730, 18987, 6892, 1109, 31299, 1730, 18987, 6892, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 330, 815, 12181, 272, 1730, 282, 737, 2999, 795, 282, 737, 10030, 264, 2715, 1730, 18987, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 815, 4569, 269, 2381, 5560, 335, 5157, 6012, 329, 3910, 31185, 5157, 6012, 329, 910, 737, 316, 1341, 31185, 5157, 6012, 330, 316, 5148, 1730, 18987, 6892, 1109, 31299, 1730, 7673, 13725, 1109, 31299, 1730, 24748, 1109, 31299, 1730, 13725, 1109, 31299, 1730, 13725, 1109, 1730, 8873, 319, 2387, 31389, 19559, 6012, 332, 22049, 1730, 6892, 1109, 31299, 319, 1109, 319, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26514, 26571, 264, 2715, 1730, 13725, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 1724, 1730, 282, 1730, 13725, 1109, 1730, 842, 319, 2387, 332, 815, 12181, 3066, 1730, 282, 1730, 13725, 1109, 1730, 21902, 269, 719, 31428, 15238, 263, 2381, 3065, 306, 13645, 3799, 267, 544, 4297, 282, 1109, 12181, 2260, 19243, 281, 476, 280, 1730, 6892, 1109, 31299, 31299, 26384, 1012, 5124, 692, 2387, 3698, 319, 2387, 2381, 3065, 306, 13645, 3799, 267, 544, 2567, 1730, 6892, 1109, 1730, 258, 8073, 513, 476, 273, 291, 667, 303, 5044, 547, 4558, 519, 5934, 10945, 2838, 1730, 6892, 1109, 1730, 31389, 12181, 284, 319, 2387, 314, 314, 1730, 15615, 1730, 263, 1730, 262, 8882, 262, 1730, 13580, 12181, 265, 319, 25464, 332, 12181, 266, 319, 2387, 272, 1730, 264, 12181, 1721, 319, 2387, 318, 12181, 514, 319, 2387, 9792, 1730, 263, 333, 12181, 266, 319, 2387, 272, 1730, 13580, 1730, 6892, 1109, 319, 1109, 319, 6892, 1109, 1730, 258, 31230, 998, 9343, 543, 9587, 1730, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 562, 12181, 266, 319, 2387, 272, 1730, 2567, 1730, 13725, 1109, 1730, 1721, 319, 2387, 329, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 544, 12181, 266, 319, 2387, 272, 1730, 2567, 1730, 24748, 1109, 1730, 604, 319, 2387, 328, 12181, 284, 1730, 284, 319, 2387, 329, 281, 1730, 7673, 13725, 1109, 1730, 258, 1403, 519, 13551, 568, 2907, 513, 4009, 267, 835, 4009, 568, 2877, 1730, 7673, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 12181, 284, 319, 2387, 272, 1730, 24748, 1109, 1730, 12828, 1730, 281, 1730, 7673, 13725, 1109, 1730, 258, 19461, 1125, 609, 5021, 1871, 1730, 7673, 13725, 1109, 1730, 31389, 5157, 6012, 329, 316, 12181, 284, 319, 2387, 15615, 1730, 263, 1730, 262, 8882, 262, 1730, 264, 1730, 7673, 13725, 1109, 1730, 258, 8347, 782, 2009, 10943, 1080, 543, 1265, 519, 5934, 1730, 7673, 13725, 1109, 1730, 1721, 319, 2387, 330, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 1775, 2567, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 12181, 284, 319, 2387, 2381, 1730, 263, 31389, 5157, 6012, 329, 3910, 31185, 5157, 12181, 268, 319, 2387, 330, 6012, 329, 316, 12181, 266, 319, 2387, 31389, 25208, 6012, 329, 8079, 1730, 7673, 13725, 1109, 1730, 1721, 319, 2387, 330, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 795, 2567, 1730, 18987, 6892, 1109, 1730, 31389, 5157, 6012, 329, 316, 12181, 284, 319, 2387, 2381, 1730, 263, 31389, 5157, 6012, 329, 3910, 31185, 5157, 6012, 329, 12181, 268, 319, 2387, 330, 316, 12181, 266, 319, 2387, 31389, 5157, 6012, 330, 8079, 1730, 6892, 1109, 1730, 8873, 319, 2387, 31389, 19559, 6012, 332, 316, 319, 1109, 319, 333, 12181, 284, 319, 2387, 1724, 1730, 332, 12181, 284, 319, 2387, 3066, 1730, 2745, 1730, 263, 2381, 3065, 306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 1490, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 2219, 827, 1018, 2306, 721, 945, 649, 616, 2496, 7692, 281, 6145, 1250, 5172, 4672, 8645, 8137, 2496, 8334, 281, 3143, 267, 899, 1141, 649, 2097, 689, 543, 875, 621, 5540, 721, 269, 898, 781, 1572, 6237, 3961, 780, 7692, 281, 670, 7825, 267, 2760, 2731, 5795, 621, 1454, 2219, 269, 1924, 267, 1018, 4010, 1281, 602, 1611, 2496, 8334, 281, 4270, 267, 1589, 827, 621, 713, 1259, 910, 4952, 596, 8057, 909, 4189, 19471, 16741, 1169, 10732, 1317, 707, 1920, 568, 7969, 269, 2334, 2245, 3587, 513, 851, 540, 945, 596, 616, 543, 7506, 707, 7375, 267, 1256, 950, 596, 1332, 909, 543, 1847, 2476, 780, 7692, 281, 7937, 9493, 1695, 256, 1656, 952, 594, 1185, 6738, 909, 12341, 3116, 267, 6148, 594, 1131, 4782, 1945, 1114, 3079, 780, 8334, 281, 22549, 256, 3776, 2833, 3337, 938, 2418, 543, 4978, 1932, 269, 4658, 2713, 2282, 10239, 1522, 5660, 2470, 811, 982, 1346, 945, 2661, 538, 2462, 4872, 269, 1358, 1294, 922, 5898, 1169, 1554, 543, 1451, 547, 2463, 621, 780, 7692, 281, 1809, 7227, 267, 3085, 1405, 3025, 1869, 2671, 10486, 5103, 4947, 689, 1114, 4025, 2496, 8334, 281, 25999, 256, 4634, 1498, 972, 616, 3604, 1063, 4525, 267, 1004, 10876, 2648, 741, 3885, 267, 2972, 2575, 267, 8661, 14812, 267, 543, 865, 593, 269, 1284, 782, 4866, 547, 835, 1480, 5198, 1310, 782, 780, 7692, 281, 20944, 621, 269, 3767, 594, 1205, 1946, 3006, 2828, 689, 1153, 1810, 1405, 1174, 1978, 24668, 610, 5389, 689, 1250, 1753, 4884, 269, 4256, 4282, 568, 1175, 1114, 2439, 8334, 281, 8786, 267, 543, 1565, 827, 1142, 824, 781, 2189, 9163, 2337, 1628, 6568, 543, 4276, 269, 5457, 532, 602, 1866, 949, 2070, 519, 1158, 8335, 1813, 547, 741, 6237, 3961, 666, 948, 721, 5968, 1732, 543, 1118, 5923, 518, 5079, 780, 7692, 281, 15346, 256, 901, 19595, 803, 540, 9835, 11985, 15608, 269, 1261, 2141, 12909, 827, 1010, 6689, 2984, 1394, 538, 8581, 269, 3571, 8941, 2285, 803, 5813, 883, 9721, 2528, 543, 1686, 780, 8334, 281, 6423, 286, 19457, 2123, 2833, 543, 2686, 2853, 18791, 7554, 1369, 2950, 269, 1635, 8508, 4763, 543, 3024, 532, 23141, 267, 649, 1711, 513, 21950, 2486, 2949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7712, 519, 15215, 538, 1857, 1272, 281, 513, 14196, 585, 585, 519, 14704, 19001, 8255, 1434, 28448, 585, 513, 5548, 320, 684, 599, 23396, 267, 519, 2238, 1616, 513, 1297, 2232, 602, 2090, 674, 12089, 5548, 320, 684, 599, 1158, 269, 2311, 519, 2518, 15849, 540, 519, 4757, 267, 519, 13193, 326, 1156, 539, 4589, 616, 882, 11343, 547, 29990, 7341, 269, 634, 6906, 568, 6280, 543, 1871, 22536, 4680, 593, 519, 1453, 2059, 519, 4466, 540, 519, 824, 7022, 5692, 269, 13817, 29664, 323, 547, 9474, 293, 267, 519, 10447, 2934, 711, 3328, 267, 855, 666, 2196, 1699, 2488, 269, 1280, 5488, 15215, 538, 1857, 1272, 281, 513, 14196, 585, 267, 713, 1403, 9347, 814, 3168, 519, 26264, 342, 663, 23299, 585, 12379, 327, 6677, 867, 269, 1411, 666, 581, 938, 14730, 15259, 8559, 20119, 676, 22867, 606, 1977, 2039, 269, 2659, 1299, 526, 1662, 786, 1265, 1020, 5276, 1289, 267, 9247, 609, 1554, 689, 4570, 1065, 28362, 923, 269, 476, 271, 3060, 282, 7397, 30041, 21820, 949, 15681, 269, 1065, 28362, 923, 267, 721, 15606, 543, 20258, 798, 1804, 896, 741, 3119, 3334, 269, 2638, 707, 6119, 827, 26264, 342, 663, 256, 3095, 707, 21444, 2856, 676, 2810, 930, 2627, 610, 2687, 936, 513, 1895, 269, 634, 15215, 538, 3091, 513, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8802, 1308, 14740, 257, 607, 851, 540, 834, 24719, 13316, 1315, 13636, 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, 3848, 476, 1428, 281, 5851, 28018, 687, 1107, 589, 14265, 1017, 27100, 538, 7464, 24529, 3690, 13905, 692, 296, 269, 4985, 692, 1103, 2221, 779, 3728, 19550, 543, 8013, 1483, 10040, 2344, 267, 1753, 24422, 723, 1831, 5051, 4105, 585, 1312, 18046, 543, 23965, 7567, 269, 901, 3184, 12538, 883, 519, 4644, 540, 1753, 24422, 1369, 519, 6626, 2796, 540, 1870, 543, 9297, 267, 4481, 2519, 593, 741, 1909, 538, 9140, 543, 9513, 5321, 269, 3414, 3695, 1585, 3344, 971, 607, 20340, 585, 8524, 832, 267, 3334, 540, 513, 9488, 14791, 267, 1761, 2152, 267, 19908, 2994, 267, 543, 3656, 9270, 267, 649, 786, 1683, 3988, 609, 513, 4396, 5748, 585, 1620, 543, 19825, 519, 2956, 540, 1753, 24422, 780, 2862, 269, 19120, 4328, 607, 513, 5851, 28018, 528, 692, 2414, 2327, 7082, 4027, 543, 2226, 1164, 3318, 4441, 267, 1034, 2829, 10038, 519, 24416, 543, 13995, 1184, 585, 1753, 8524, 832, 269, 15380, 267, 891, 4170, 4125, 11264, 1808, 2069, 6030, 267, 8429, 1533, 18362, 267, 20170, 547, 5683, 4808, 267, 543, 16565, 5571, 2866, 2429, 741, 4876, 269, 3958, 267, 18019, 1753, 8524, 528, 12205, 2709, 2417, 24501, 1759, 2390, 11826, 2872, 4441, 269, 1635, 2502, 11727, 4648, 267, 6800, 4324, 689, 4274, 20241, 1247, 4180, 6015, 538, 741, 1483, 10040, 8852, 780, 7656, 269, 22020, 540, 513, 18897, 965, 5851, 6184, 18936, 692, 288, 3102, 1753, 14791, 1058, 7854, 1896, 2565, 2127, 1519, 7293, 2609, 267, 32072, 1949, 267, 5122, 11443, 267, 21818, 1949, 267, 8022, 543, 9023, 4559, 267, 13471, 267, 14910, 267, 14233, 267, 543, 2825, 4145, 269, 3962, 1858, 7569, 22111, 22987, 2094, 19518, 949, 1291, 547, 1713, 2883, 24675, 952, 2451, 32373, 539, 1282, 3355, 16395, 269, 1280, 3236, 267, 25768, 11443, 1223, 8141, 11642, 267, 6466, 4057, 13471, 1522, 1267, 538, 32117, 1648, 12014, 269, 4935, 267, 606, 29882, 6514, 2488, 1312, 6105, 609, 3407, 4030, 3823, 3959, 2783, 543, 5826, 1686, 780, 4353, 269, 17291, 15783, 12983, 4438, 5851, 28018, 687, 692, 16987, 27624, 1753, 8524, 832, 4865, 4378, 539, 22423, 1983, 5827, 540, 16326, 11029, 4191, 22566, 540, 5817, 2042, 269, 2368, 1455, 2699, 17514, 1331, 1216, 3441, 25859, 267, 29618, 13210, 267, 29840, 532, 25256, 1949, 267, 8697, 8122, 17981, 267, 543, 22573, 5122, 8440, 269, 1452, 8906, 5512, 5483, 3375, 6194, 676, 10223, 2556, 18203, 267, 18175, 10232, 267, 610, 5372, 906, 2838, 2901, 1991, 547, 14656, 610, 607, 20314, 1890, 21291, 1369, 6455, 11731, 269, 1306, 10423, 538, 519, 4367, 781, 1383, 540, 519, 28908, 10268, 1282, 519, 32298, 267, 7147, 9702, 11812, 11442, 5397, 267, 2950, 1419, 28487, 1472, 1346, 6849, 2591, 282, 13974, 267, 7114, 1761, 2152, 2038, 2636, 8639, 547, 2232, 873, 30082, 2864, 982, 2746, 1947, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3383, 1018, 286, 1924, 267, 945, 666, 20618, 585, 713, 543, 1018, 1281, 621, 1413, 899, 950, 596, 1205, 707, 2638, 888, 32637, 267, 5412, 476, 1704, 267, 476, 1220, 280, 454, 3383, 1018, 286, 1924, 267, 945, 666, 20618, 585, 713, 543, 1018, 1281, 621, 1413, 899, 950, 596, 1205, 707, 2638, 888, 32637, 267, 5412, 476, 1015, 267, 476, 1220, 280, 454, 5746, 2316, 313, 27602, 5508, 631, 7838, 303, 14176, 267, 570, 13052, 3008, 23184, 9474, 10976, 292, 6730, 18688, 312, 31631, 11083, 670, 5357, 2839, 17751, 9460, 4041, 289, 6938, 3582, 9215, 312, 19010, 25893, 454, 300, 584, 19148, 267, 7147, 630, 13356, 476, 1015, 267, 476, 1220, 280, 264, 20620, 763, 4975, 540, 32298, 1131, 899, 547, 8831, 513, 2462, 9684, 596, 547, 938, 2146, 269, 2060, 936, 476, 1911, 271, 2828, 543, 3885, 538, 20343, 693, 519, 5412, 476, 274, 16316, 8285, 10326, 31786, 543, 31054, 7926, 267, 519, 856, 335, 28666, 540, 11587, 695, 821, 998, 563, 16920, 754, 4315, 941, 4280, 547, 3142, 543, 24946, 513, 1007, 7938, 571, 5529, 11442, 30364, 519, 2051, 4802, 6019, 5753, 781, 31197, 4741, 269, 634, 2179, 540, 9162, 24603, 602, 3781, 25295, 782, 6788, 543, 2899, 1586, 9863, 519, 2178, 2631, 540, 2146, 538, 32298, 543, 4947, 1927, 950, 12543, 616, 538, 991, 563, 4002, 11016, 267, 5412, 476, 275, 267, 5234, 9447, 513, 14903, 4452, 24492, 532, 609, 21464, 11442, 23190, 689, 519, 4961, 540, 32298, 269, 2060, 608, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12709, 28018, 687, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 7464, 24529, 1315, 11370, 3539, 1299, 590, 2454, 23467, 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, 278, 281, 29016, 4149, 1399, 548, 623, 1512, 690, 625, 281, 589, 26943, 2435, 17714, 998, 519, 5664, 9533, 2276, 692, 296, 269, 4985, 692, 2026, 649, 3460, 998, 519, 3309, 11477, 5251, 540, 519, 2136, 2276, 267, 649, 7237, 2189, 6237, 8286, 602, 2995, 2984, 540, 2686, 5385, 267, 3140, 2621, 267, 543, 9194, 3270, 269, 2290, 971, 8670, 688, 2812, 689, 519, 5664, 9533, 3148, 910, 4481, 267, 29016, 267, 12425, 910, 1141, 22815, 690, 625, 723, 1831, 513, 11537, 20013, 538, 2199, 11951, 269, 1452, 8949, 546, 636, 31958, 267, 4904, 609, 1585, 29902, 5820, 267, 2709, 721, 513, 6885, 883, 519, 3638, 1686, 543, 2686, 12760, 602, 1915, 3278, 713, 1858, 269, 2913, 721, 5490, 883, 519, 4241, 9661, 540, 875, 891, 9583, 18803, 14859, 22836, 2968, 606, 11599, 3090, 540, 29016, 543, 922, 4478, 4525, 780, 2862, 269, 8466, 17461, 692, 2414, 1174, 519, 8129, 540, 22815, 690, 625, 538, 519, 5664, 9533, 2829, 267, 649, 1590, 1101, 2263, 741, 5072, 538, 8109, 2342, 269, 634, 2262, 834, 335, 1512, 9609, 257, 2501, 689, 519, 21977, 834, 7032, 549, 30795, 5652, 2437, 799, 1797, 834, 331, 8077, 2650, 1701, 901, 2250, 787, 814, 1044, 513, 20856, 675, 538, 6239, 543, 8109, 3864, 11326, 585, 5553, 267, 3226, 1851, 23577, 545, 2950, 269, 30003, 30836, 3769, 12277, 267, 10381, 267, 5779, 267, 10487, 17064, 571, 583, 267, 17228, 267, 610, 5613, 899, 10027, 1845, 610, 30207, 269, 1879, 14470, 11082, 3459, 21945, 538, 519, 2136, 2276, 1282, 519, 3735, 13524, 543, 2038, 14206, 5553, 267, 789, 4547, 741, 1726, 25979, 1920, 10346, 2059, 609, 873, 269, 3509, 12306, 538, 4853, 4872, 899, 29016, 267, 25350, 267, 30159, 267, 543, 24354, 267, 1141, 12051, 6009, 941, 10731, 269, 1306, 891, 19366, 3885, 8179, 547, 2226, 4296, 547, 741, 22657, 1247, 15268, 547, 1272, 538, 3013, 267, 1426, 1419, 6039, 607, 1312, 4313, 543, 4276, 269, 4935, 267, 22815, 690, 625, 1336, 15417, 2666, 9624, 519, 14297, 5374, 14200, 543, 6803, 16973, 540, 29016, 780, 7656, 269, 29016, 22685, 5406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 909, 593, 707, 2123, 1646, 269, 1548, 616, 519, 1434, 693, 286, 1548, 2127, 540, 707, 2729, 666, 946, 6454, 286, 4518, 593, 5355, 1312, 707, 8467, 543, 2679, 593, 707, 9342, 563, 15447, 1018, 616, 519, 1919, 610, 7606, 602, 596, 991, 547, 2057, 610, 1331, 547, 2087, 707, 3929, 1072, 269, 7490, 4063, 602, 596, 1810, 1406, 723, 547, 4137, 856, 3388, 693, 2899, 267, 855, 596, 3580, 5660, 1022, 2370, 5092, 596, 1118, 538, 3054, 563, 2005, 779, 15502, 547, 1491, 9397, 855, 1810, 1406, 6336, 707, 8404, 585, 3356, 563, 257, 28775, 568, 1271, 1317, 621, 666, 1118, 519, 1459, 4090, 1447, 2352, 547, 7703, 269, 1403, 649, 3494, 602, 14182, 786, 581, 1732, 267, 649, 666, 7703, 513, 27465, 2221, 1701, 910, 1320, 747, 715, 1002, 12390, 327, 454, 1321, 269, 13480, 593, 707, 15970, 454, 14399, 1451, 513, 2603, 689, 741, 3237, 543, 1419, 2203, 741, 12003, 3270, 689, 741, 3237, 269, 4014, 596, 949, 9090, 723, 3063, 593, 707, 6676, 267, 3314, 602, 596, 2461, 741, 7887, 1909, 2203, 543, 616, 2693, 6028, 8628, 29066, 538, 741, 2729, 563, 2252, 596, 2461, 14129, 543, 14221, 267, 621, 949, 1860, 707, 1453, 607, 1134, 269, 1323, 1898, 851, 540, 1373, 513, 1434, 2385, 568, 2921, 1416, 540, 3054, 563, 1724, 269, 16605, 1565, 1256, 1282, 4101, 2053, 454, 11795, 2159, 3871, 1419, 1683, 513, 1390, 1565, 4316, 269, 3958, 267, 5329, 3054, 26531, 949, 581, 1360, 5363, 563, 2026, 971, 267, 2119, 1007, 1919, 267, 1224, 811, 267, 2087, 707, 5986, 267, 1205, 513, 1007, 15908, 267, 1376, 513, 2427, 4747, 269, 21894, 596, 6430, 267, 1565, 786, 5818, 707, 6015, 267, 1582, 12635, 543, 2285, 596, 513, 3152, 2631, 540, 3483, 563, 1691, 2529, 12323, 930, 942, 13964, 454, 301, 5847, 20054, 930, 1434, 2025, 4195, 2011, 269, 18521, 1901, 519, 11645, 540, 11255, 543, 1491, 930, 942, 547, 6001, 13964, 269, 7186, 568, 1634, 585, 5355, 8171, 543, 13302, 4160, 543, 4965, 563, 1428, 269, 14946, 513, 1007, 14820, 1282, 2352, 3871, 454, 8133, 267, 1919, 949, 3100, 7168, 1989, 574, 267, 855, 2141, 1265, 1945, 547, 8661, 269, 1635, 1175, 4657, 707, 14820, 543, 3843, 547, 1445, 593, 519, 2318, 267, 3079, 540, 519, 2942, 707, 2566, 2157, 786, 7494, 6175, 563, 2791, 949, 711, 581, 2111, 547, 1852, 707, 3510, 855, 596, 798, 723, 519, 1379, 547, 1852, 707, 5114, 269, 4855, 7772, 538, 1018, 596, 666, 798, 1631, 269, 18270, 622, 2370, 24984, 563, 1626, 2529, 324, 2131, 3318, 948, 1282, 2352, 3871, 454, 2252, 596, 616, 4466, 621, 3226, 4101, 547, 11883, 1282, 2352, 3871, 267, 621, 568, 1898, 547, 5968, 707, 4606, 547, 707, 1072, 1416, 8502, 563, 1607, 786, 948, 596, 1205, 519, 1489, 596, 991, 269, 5457, 602, 596, 798, 711, 991, 547, 581, 4805, 538, 707, 6560, 543, 602, 707, 4606, 616, 24019, 563, 21202, 1966, 568, 513, 4960, 585, 596, 547, 798, 707, 1655, 1701, 910, 291, 8123, 11875, 15838, 454, 296, 917, 602, 1818, 2318, 2242, 616, 4443, 1767, 982, 2944, 269, 1306, 971, 267, 713, 2022, 568, 711, 5921, 547, 8267, 332, 855, 3274, 8300, 596, 8853, 1256, 1282, 2352, 3871, 269, 4634, 952, 596, 1491, 4816, 3268, 267, 621, 786, 9090, 581, 4502, 621, 563, 12901, 4602, 566, 540, 606, 30369, 2680, 949, 581, 1256, 811, 17173, 982, 519, 2680, 3294, 865, 621, 779, 1271, 547, 2661, 538, 519, 1459, 543, 946, 891, 2994, 547, 2149, 707, 2104, 563, 4692, 596, 1589, 540, 824, 2081, 547, 4383, 2352, 3871, 286, 2913, 803, 917, 538, 519, 8292, 2630, 543, 3314, 547, 2671, 713, 865, 602, 1866, 666, 4324, 607, 1134, 563, 763, 12694, 2986, 634, 17455, 2438, 454, 2690, 1034, 267, 952, 711, 782, 540, 721, 267, 1272, 814, 20427, 4957, 269, 4014, 11562, 5896, 267, 621, 779, 3181, 23534, 2436, 519, 1764, 540, 519, 1514, 9993, 267, 2816, 2530, 267, 1153, 5008, 999, 267, 2242, 538, 6296, 543, 2790, 1072, 4713, 949, 723, 606, 1256, 3152, 17167, 602, 519, 2168, 2360, 540, 519, 3644, 563, 2690, 3236, 267, 1453, 4080, 4606, 540, 4250, 267, 10072, 267, 4160, 267, 1514, 16663, 267, 17140, 267, 18354, 267, 16236, 267, 10539, 267, 543, 29338, 11341, 547, 519, 6855, 563, 5445, 849, 4080, 1164, 3928, 540, 2790, 1072, 4713, 971, 607, 17971, 630, 14006, 32034, 2566, 4524, 264, 543, 16369, 4524, 630, 3412, 3757, 1696, 620, 1421, 476, 1708, 271, 1916, 291, 558, 4382, 20222, 1772, 8550, 28514, 454, 32381, 540, 875, 1419, 621, 4386, 267, 519, 1826, 540, 7063, 596, 22036, 267, 610, 2436, 610, 711, 9604, 616, 1031, 267, 6469, 5208, 568, 2760, 1318, 269, 1280, 1034, 7606, 267, 14045, 547, 3251, 5673, 593, 513, 21318, 540, 2188, 563, 4322, 1331, 1107, 855, 616, 711, 3908, 547, 1107, 2883, 7555, 267, 2816, 610, 4876, 3255, 267, 1453, 267, 3075, 946, 610, 6057, 267, 7301, 8823, 543, 5924, 4250, 563, 3719, 267, 596, 1590, 917, 602, 6469, 5208, 568, 2760, 15502, 543, 621, 2356, 4679, 609, 942, 267, 8259, 519, 6408, 3762, 610, 519, 15185, 3343, 3797, 269, 10251, 267, 519, 7649, 2356, 7475, 909, 10413, 610, 7166, 1354, 2901, 540, 713, 4523, 563, 12234, 267, 891, 5615, 616, 1419, 10630, 538, 519, 2104, 2623, 540, 741, 1453, 945, 616, 6534, 543, 616, 693, 1981, 540, 5208, 2933, 563, 289, 528, 637, 523, 267, 918, 269, 630, 1708, 271, 264, 634, 5626, 2640, 540, 2348, 1919, 547, 1413, 4464, 547, 269, 12232, 1934, 630, 16966, 539, 281, 476, 3066, 11219, 534, 268, 1708, 272, 1916, 3412, 3757, 267, 715, 1421, 589, 15330, 267, 594, 1421, 26588, 604, 267, 631, 269, 594, 1421, 26636, 5055, 267, 2098, 269, 670, 1421, 1299, 715, 1511, 539, 267, 590, 269, 630, 1708, 271, 264, 16723, 11411, 540, 31741, 538, 1453, 543, 10708, 281, 589, 4028, 9836, 2689, 543, 6069, 3435, 269, 9031, 4760, 540, 2564, 9443, 267, 476, 3607, 263, 276, 1070, 476, 8099, 277, 1700, 9340, 277, 563, 299, 334, 5651, 334, 717, 267, 590, 2158, 517, 661, 267, 13643, 623, 289, 267, 8895, 14397, 808, 269, 630, 1708, 271, 264, 26787, 513, 7869, 15369, 11638, 30071, 767, 13979, 585, 12729, 10644, 540, 10076, 15136, 538, 8479, 4658, 269, 2271, 808, 30287, 1763, 5398, 2657, 269, 476, 1708, 271, 267, 476, 1704, 263, 2190, 2567, 280, 4510, 276, 267, 8222, 281, 476, 1015, 269, 26552, 271, 270, 6359, 518, 874, 15094, 5392, 275, 3393, 563, 303, 1221, 23992, 16195, 630, 7224, 4266, 264, 4208, 13467, 616, 1434, 585, 707, 1072, 269, 12232, 1934, 630, 16966, 539, 281, 476, 3066, 11219, 534, 268, 1708, 272, 264, 0, 291, 2884, 4566, 616, 3358, 547, 606, 1367, 779, 1072, 4567, 267, 2597, 543, 6197, 269, 589, 1697, 2732, 8952, 596, 3742, 543, 2337, 596, 2226, 707, 2597, 269, 769, 2241, 1913, 267, 513, 2732, 23790, 538, 31747, 568, 538, 519, 2990, 547, 1683, 8192, 4808, 547, 1004, 547, 948, 873, 3251, 2635, 269, 634, 4808, 1331, 513, 2039, 540, 1271, 7840, 593, 875, 547, 3548, 543, 1018, 547, 2057, 269, 1358, 1331, 12145, 17811, 543, 6070, 6981, 267, 7446, 8770, 1673, 1619, 3536, 543, 16098, 267, 543, 2519, 593, 4189, 3270, 269, 1411, 666, 1376, 676, 13868, 9268, 267, 1164, 23343, 12929, 14254, 23611, 609, 811, 14312, 8925, 269, 3973, 267, 12990, 707, 1491, 13050, 9269, 609, 513, 8902, 4781, 693, 12899, 610, 12129, 563, 2750, 947, 6981, 540, 8477, 267, 4006, 267, 543, 6070, 1058, 581, 14284, 912, 7212, 4006, 543, 6070, 616, 2877, 538, 519, 2732, 267, 7050, 6981, 1058, 581, 14284, 269, 2755, 4006, 568, 513, 2067, 5057, 540, 5613, 543, 5388, 267, 621, 568, 1419, 1336, 538, 26437, 3536, 543, 13792, 6980, 269, 17865, 568, 849, 1459, 538, 9268, 3536, 269, 3117, 11167, 891, 3536, 666, 2333, 519, 1981, 540, 2295, 2068, 267, 865, 596, 1058, 3970, 741, 6981, 563, 21918, 527, 8192, 8501, 6981, 547, 476, 1911, 547, 476, 4968, 8406, 7933, 912, 7212, 8501, 538, 3662, 2472, 666, 581, 3983, 585, 707, 1072, 267, 12145, 707, 3232, 6981, 547, 476, 1911, 547, 476, 4968, 31501, 568, 711, 3983, 269, 3509, 3173, 723, 11943, 602, 8192, 8501, 949, 711, 581, 607, 3983, 607, 5892, 5156, 269, 7799, 1746, 707, 8501, 6981, 568, 1271, 267, 7488, 540, 2436, 610, 711, 596, 7985, 689, 2295, 2068, 269, 4107, 1004, 666, 3362, 2743, 741, 3232, 8501, 4170, 676, 1739, 513, 2635, 2732, 563, 16521, 8770, 1673, 1619, 3536, 543, 16098, 912, 288, 8770, 1673, 1619, 2732, 3568, 7899, 540, 8324, 267, 6886, 267, 543, 824, 1072, 1790, 668, 7627, 3334, 269, 898, 1058, 581, 1970, 538, 15459, 3170, 267, 6070, 267, 543, 3773, 14836, 269, 715, 22021, 1673, 1619, 3536, 1331, 2898, 9274, 267, 3165, 267, 16738, 267, 5798, 267, 10365, 267, 21378, 2812, 267, 543, 13386, 2472, 563, 288, 2487, 9142, 540, 12594, 543, 10791, 7497, 1353, 8947, 519, 2257, 3297, 8770, 1673, 1619, 11326, 269, 12824, 4857, 1883, 2798, 547, 3391, 519, 3903, 540, 8770, 1673, 1619, 3536, 543, 16098, 563, 30696, 593, 4189, 3270, 912, 763, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 11168, 519, 2956, 540, 6220, 4189, 3270, 883, 3232, 13467, 547, 3895, 2949, 1072, 269, 901, 6521, 689, 2519, 593, 1367, 8192, 3334, 568, 538, 3210, 547, 3395, 3621, 2963, 827, 519, 4276, 1063, 2949, 4189, 3270, 543, 1072, 269, 634, 4808, 5031, 1896, 2994, 547, 3895, 2635, 4189, 543, 2168, 2534, 269, 0, 305, 1576, 281, 634, 9238, 454, 268, 3399, 281, 9947, 476, 736, 267, 476, 1708, 273, 454, 268, 7736, 281, 9947, 476, 2190, 267, 476, 1708, 273, 454, 14630, 281, 4873, 476, 736, 268, 2190, 267, 476, 1708, 273, 454, 28275, 942, 281, 476, 280, 269, 876, 993, 454, 7343, 6918, 1493, 1439, 281, 29869, 454, 20278, 281, 645, 271, 269, 16573, 267, 12463, 296, 585, 12713, 613, 17190, 267, 808, 6511, 454, 263, 680, 10165, 538, 1268, 994, 9743, 1192, 832, 281, 6424, 4173, 516, 571, 267, 6424, 7984, 638, 21289, 267, 20153, 773, 13153, 3245, 332, 267, 634, 518, 15925, 918, 926, 344, 11936, 267, 7338, 654, 583, 345, 2401, 267, 772, 5894, 572, 717, 558, 541, 2444, 320, 454, 32051, 281, 31853, 1576, 454, 290, 13072, 2798, 281, 476, 271, 269, 273, 8713, 829, 1576, 1554, 454, 9563, 681, 6092, 910, 519, 17943, 476, 1001, 280, 454, 305, 568, 513, 1863, 267, 2241, 543, 1360, 11684, 5752, 1893, 4922, 1031, 585, 8579, 9382, 269, 901, 1576, 834, 7072, 547, 4578, 5811, 609, 681, 257, 568, 6098, 693, 12854, 1053, 1510, 1022, 3105, 1702, 540, 681, 269, 4706, 9115, 786, 581, 5059, 593, 3478, 606, 16022, 9787, 540, 681, 781, 1292, 3252, 543, 1373, 2111, 547, 4434, 707, 5759, 593, 707, 1378, 543, 538, 4359, 6030, 269, 634, 1576, 786, 5512, 596, 547, 10994, 891, 1455, 1614, 2010, 540, 4247, 912, 268, 1215, 547, 4452, 1239, 883, 681, 888, 268, 1215, 547, 960, 609, 1239, 538, 681, 888, 268, 1215, 547, 4688, 2164, 543, 2241, 13602, 888, 268, 2387, 305, 13231, 1470, 319, 543, 2387, 305, 319, 607, 513, 9498, 454, 268, 4578, 2010, 454, 268, 4578, 3889, 454, 268, 7335, 543, 1603, 6119, 454, 268, 519, 570, 573, 344, 2091, 454, 18907, 476, 2641, 281, 14691, 910, 6513, 2095, 609, 634, 518, 15925, 918, 926, 344, 11936, 454, 268, 12793, 267, 623, 6559, 11346, 454, 268, 14409, 540, 1915, 12673, 454, 18907, 476, 2420, 281, 29093, 609, 20153, 773, 13153, 3245, 332, 454, 268, 1548, 616, 12476, 268, 7120, 5288, 575, 326, 7120, 888, 268, 654, 337, 836, 1782, 1239, 609, 546, 2952, 337, 454, 268, 9978, 575, 326, 7120, 454, 18907, 476, 2537, 281, 4578, 2079, 609, 6424, 4173, 516, 571, 454, 268, 11822, 7194, 454, 268, 1133, 328, 8686, 926, 622, 10855, 7194, 454, 268, 4578, 4393, 454, 268, 7316, 547, 1265, 513, 1505, 888, 268, 4033, 2081, 547, 1184, 1239, 454, 18907, 476, 2190, 281, 5131, 2259, 609, 782, 16929, 454, 268, 4855, 707, 1378, 9910, 3491, 915, 454, 268, 19244, 8631, 689, 519, 1576, 454, 268, 9105, 585, 948, 609, 1378, 1239, 2079, 454, 8802, 3563, 1934, 676, 4873, 476, 277, 267, 476, 1708, 273, 269, 0, 305, 7342, 16680, 9866, 3569, 454, 320, 269, 16359, 14847, 775, 630, 294, 1484, 543, 20963, 16359, 10341, 2567, 5548, 756, 4733, 3527, 602, 946, 1082, 2694, 540, 519, 1560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 2189, 286, 9320, 621, 781, 519, 1426, 596, 3548, 693, 1753, 267, 519, 1893, 596, 3717, 609, 707, 1920, 267, 610, 1256, 519, 5389, 596, 1246, 1282, 2027, 14026, 269, 2353, 891, 3344, 3565, 547, 938, 2686, 9163, 910, 519, 1259, 649, 1294, 6000, 1759, 593, 519, 2516, 649, 4866, 547, 267, 971, 607, 22874, 267, 14940, 267, 4984, 267, 610, 2146, 780, 5331, 3001, 547, 513, 1007, 2197, 950, 596, 2811, 1175, 2185, 1296, 2025, 267, 899, 631, 6545, 1705, 950, 646, 882, 11343, 689, 16273, 547, 11968, 13353, 269, 1261, 729, 10393, 11303, 676, 513, 1114, 2528, 267, 1818, 1864, 2243, 1010, 1378, 3961, 269, 12984, 646, 811, 15622, 8932, 610, 1977, 286, 901, 14196, 3884, 1405, 16613, 1851, 1453, 945, 1332, 909, 538, 3885, 602, 2226, 2178, 4296, 547, 741, 5065, 4529, 1247, 2713, 538, 513, 1007, 2244, 269, 2913, 781, 1451, 811, 827, 3695, 835, 781, 2686, 3961, 1210, 631, 6545, 262, 1995, 607, 6667, 780, 300, 6545, 262, 7731, 17461, 454, 10900, 692, 300, 6545, 262, 3237, 941, 8385, 689, 16273, 855, 4956, 547, 1847, 547, 3013, 547, 3343, 1732, 2816, 3255, 269, 1358, 6659, 631, 6545, 609, 2757, 15622, 8932, 2418, 267, 1519, 9821, 267, 4978, 267, 543, 2853, 5293, 1524, 689, 5108, 547, 5108, 269, 2201, 1283, 540, 713, 267, 1373, 1821, 719, 12356, 3773, 1776, 4494, 547, 631, 6545, 262, 2686, 4282, 269, 898, 781, 1271, 547, 4063, 602, 3909, 4978, 1419, 18595, 710, 609, 2686, 2853, 543, 666, 3648, 3337, 835, 781, 3961, 780, 31995, 5455, 7756, 454, 2411, 21387, 2026, 631, 6545, 3323, 11504, 1153, 538, 15829, 267, 646, 3533, 7691, 602, 646, 6743, 543, 5433, 1114, 982, 1082, 540, 1010, 15032, 269, 2755, 824, 3214, 5129, 13558, 1310, 1153, 267, 631, 6545, 1522, 723, 13984, 513, 15622, 8932, 2146, 11018, 609, 1010, 1920, 3079, 269, 2311, 12129, 942, 267, 5310, 1010, 3993, 5423, 8286, 899, 2840, 344, 8643, 610, 737, 768, 320, 267, 7429, 1018, 1010, 2828, 17696, 693, 1753, 269, 1452, 3604, 1500, 631, 6545, 1745, 1312, 4448, 547, 1010, 5072, 543, 11397, 689, 1010, 9905, 780, 32382, 14740, 19822, 454, 10900, 7042, 12024, 1082, 10708, 267, 631, 6545, 5185, 606, 834, 1211, 640, 6433, 2437, 1141, 646, 20402, 799, 2686, 1895, 646, 20705, 547, 269, 9701, 646, 9784, 1010, 15622, 8932, 6561, 610, 15849, 30968, 883, 1977, 2528, 286, 1280, 930, 267, 4466, 513, 3666, 1063, 2789, 2686, 7506, 666, 3100, 4101, 267, 2523, 952, 1346, 4529, 2408, 27723, 1114, 269, 1717, 267, 1620, 543, 19825, 1142, 2460, 540, 835, 781, 4282, 8309, 9797, 547, 2679, 513, 4396, 2631, 540, 1582, 780, 23804, 18696, 454, 1366, 15365, 21156, 540, 13156, 1010, 12242, 3961, 607, 20849, 267, 631, 6545, 1223, 1265, 2081, 547, 8661, 1312, 5011, 269, 1635, 4687, 15622, 8932, 3536, 267, 2575, 267, 543, 2984, 609, 1010, 1977, 2828, 267, 646, 27862, 741, 2729, 1932, 269, 6684, 267, 1565, 827, 1977, 1402, 2528, 267, 14812, 267, 543, 1514, 8155, 2636, 631, 6545, 547, 1921, 1732, 609, 1010, 2199, 2146, 269, 15531, 10103, 1063, 1585, 2609, 540, 835, 781, 2686, 3961, 11942, 13784, 543, 6568, 2509, 1866, 780, 12244, 281, 13028, 2659, 13574, 9452, 454, 5785, 7042, 4131, 781, 1491, 513, 4090, 547, 1589, 827, 875, 938, 2189, 11100, 540, 2833, 5546, 721, 269, 3400, 321, 513, 4062, 540, 1957, 543, 2328, 1524, 4267, 547, 519, 1739, 2055, 1384, 265, 7316, 616, 707, 3237, 610, 22594, 689, 286, 5620, 789, 3838, 1022, 4277, 2984, 610, 5389, 689, 741, 22657, 888, 265, 6904, 4654, 798, 596, 3717, 693, 1753, 286, 6496, 707, 1920, 2972, 1808, 2010, 540, 11951, 610, 16873, 5532, 547, 707, 22693, 888, 265, 1215, 1281, 707, 4984, 3310, 707, 3232, 1272, 610, 23381, 286, 3657, 972, 1880, 10752, 610, 12738, 602, 13469, 609, 596, 888, 265, 14484, 2390, 1022, 8090, 950, 596, 5433, 10583, 540, 707, 2686, 4282, 610, 8068, 3604, 1063, 3054, 543, 707, 9905, 780, 3528, 16460, 891, 2055, 267, 596, 786, 2253, 547, 1174, 707, 15491, 2686, 3961, 543, 5660, 922, 1871, 269, 5457, 267, 2348, 513, 3309, 3575, 540, 2686, 7506, 8591, 3178, 543, 17381, 547, 938, 2729, 267, 3850, 721, 547, 1106, 6209, 4296, 609, 1004, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 12767, 772, 2529, 269, 15562, 7709, 303, 5058, 10396, 10758, 291, 8991, 744, 23615, 1269, 5611, 454, 17098, 631, 6545, 256, 1548, 568, 707, 5169, 1650, 888, 296, 729, 4535, 538, 16273, 543, 3357, 547, 15829, 609, 1250, 1920, 950, 594, 729, 2185, 269, 3733, 3237, 6410, 1934, 585, 1732, 3255, 269, 594, 8057, 909, 543, 723, 2141, 5030, 593, 519, 4639, 2427, 540, 15829, 267, 2901, 538, 4639, 17998, 610, 676, 3057, 2088, 1642, 1234, 344, 269, 3733, 6689, 729, 2731, 2757, 267, 899, 1034, 4914, 3237, 1131, 6318, 741, 1453, 269, 1809, 593, 1283, 540, 602, 267, 1250, 3237, 616, 849, 7453, 12356, 269, 594, 7058, 3025, 4422, 998, 606, 3961, 6433, 607, 789, 2461, 3395, 909, 269, 4107, 1004, 979, 998, 602, 538, 741, 12322, 950, 789, 1810, 1406, 917, 945, 789, 616, 269, 1809, 950, 594, 729, 7820, 267, 621, 729, 7805, 689, 1554, 476, 272, 602, 594, 7012, 1406, 899, 519, 1964, 540, 519, 3214, 693, 1153, 269, 594, 729, 711, 1977, 6862, 3043, 865, 594, 1185, 547, 979, 998, 602, 6602, 1454, 4505, 269, 594, 7012, 1406, 2386, 799, 2427, 547, 4584, 610, 2864, 594, 1185, 547, 2307, 8885, 968, 1432, 993, 594, 286, 2549, 594, 811, 15622, 8932, 610, 993, 594, 1977, 1631, 18313, 1103, 15829, 267, 972, 779, 513, 1713, 15622, 8932, 2486, 267, 1250, 3237, 723, 513, 2603, 540, 15622, 8932, 2828, 269, 1879, 594, 6557, 1472, 873, 267, 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, 19565, 11470, 543, 28304, 674, 8986, 543, 20070, 3753, 538, 717, 2096, 333, 10415, 692, 296, 269, 4985, 692, 17315, 8736, 5708, 3091, 1762, 3988, 606, 2502, 543, 3015, 1259, 547, 2263, 1950, 4798, 543, 2152, 4143, 547, 741, 1378, 2833, 269, 2290, 971, 6249, 602, 24889, 609, 1082, 1453, 568, 519, 1995, 540, 10283, 538, 5026, 543, 16351, 2238, 267, 1519, 27590, 10415, 269, 3414, 2984, 827, 27590, 6814, 945, 3068, 2591, 543, 7753, 9465, 267, 891, 2835, 666, 948, 1762, 3988, 1628, 6043, 267, 1582, 21873, 267, 543, 513, 2208, 14820, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 24848, 516, 540, 11174, 5708, 5059, 593, 27590, 10415, 543, 4983, 875, 621, 9607, 1455, 12194, 543, 7063, 5185, 676, 1762, 9845, 269, 1284, 786, 849, 2015, 2081, 602, 7855, 267, 7172, 12579, 267, 543, 3237, 666, 946, 891, 2835, 547, 1489, 1762, 3988, 538, 3384, 2635, 8456, 4724, 18942, 7589, 543, 2123, 2208, 780, 2862, 269, 4197, 519, 2622, 540, 717, 2096, 333, 10415, 692, 6524, 11362, 883, 1808, 5931, 267, 621, 568, 1271, 547, 1174, 519, 9238, 540, 27590, 10415, 607, 513, 7328, 269, 2311, 922, 4295, 267, 27590, 10415, 3322, 7900, 1035, 13681, 1738, 905, 1846, 1210, 1585, 4773, 540, 3937, 267, 971, 607, 3666, 20832, 267, 6252, 13063, 267, 29256, 338, 267, 543, 19514, 13063, 269, 898, 3340, 4222, 267, 8112, 267, 11558, 267, 22231, 267, 543, 9015, 269, 2755, 27590, 10415, 666, 2709, 1082, 2640, 547, 1762, 5171, 267, 971, 607, 2679, 2168, 8516, 543, 5807, 16542, 1983, 267, 621, 849, 11438, 7915, 4220, 540, 5945, 269, 4340, 547, 513, 1353, 3370, 538, 27435, 4139, 267, 6690, 1063, 519, 6502, 540, 476, 277, 543, 476, 1556, 616, 693, 3226, 1164, 1981, 540, 7092, 7063, 1282, 27590, 10415, 2259, 630, 307, 534, 10440, 1696, 620, 1421, 476, 1001, 276, 1040, 5871, 7063, 1851, 6107, 27590, 6814, 1331, 838, 23230, 267, 12490, 267, 18655, 267, 20247, 23148, 267, 543, 6677, 21631, 269, 3958, 267, 4250, 543, 4160, 666, 581, 1713, 7496, 547, 1967, 538, 27590, 10415, 267, 4929, 930, 1762, 9845, 547, 2057, 1978, 7575, 610, 11198, 689, 6735, 15587, 269, 1635, 3695, 891, 3584, 998, 519, 7828, 540, 11174, 5708, 267, 4589, 666, 1683, 3407, 4030, 543, 2994, 585, 12003, 609, 1312, 519, 2168, 543, 3929, 7569, 540, 27590, 10415, 780, 7656, 269, 11724, 894, 31157, 281, 22718, 21771, 540, 21824, 543, 28864, 692, 2414, 1732, 1174, 875, 11174, 5708, 4485, 519, 3584, 540, 4250, 543, 5945, 538, 27590, 10415, 267, 1577, 721, 5659, 1896, 11347, 5931, 269, 1280, 1383, 267, 538, 918, 15811, 4591, 889, 1080, 5652, 781, 4858, 557, 2037, 965, 630, 1001, 279, 1070, 16502, 15609, 9620, 609, 1200, 4250, 540, 12394, 513, 4101, 1007, 5578, 593, 519, 11237, 269, 2060, 519, 19015, 540, 1200, 16455, 543, 8284, 27590, 6814, 267, 1352, 7930, 13976, 909, 519, 10100, 547, 2119, 11652, 6038, 7319, 12923, 269, 11531, 267, 538, 2353, 2581, 3212, 327, 3464, 517, 781, 14472, 773, 1234, 3164, 267, 23910, 281, 717, 2096, 333, 10415, 19598, 542, 630, 1708, 272, 1070, 1292, 1915, 14472, 773, 8188, 7368, 22303, 1813, 547, 7063, 13455, 1282, 2866, 269, 1717, 267, 2864, 982, 4758, 909, 267, 1352, 829, 572, 557, 637, 543, 9060, 3860, 3435, 547, 3136, 13197, 1200, 6612, 585, 27590, 10415, 269, 1452, 5931, 6542, 875, 11174, 5708, 666, 2232, 1455, 4145, 543, 2591, 5185, 676, 1762, 27590, 6814, 1247, 5356, 29014, 6835, 827, 20408, 14488, 780, 4353, 269, 11150, 585, 10515, 532, 609, 21824, 543, 28864, 692, 3528, 6313, 3197, 899, 15609, 543, 14472, 773, 267, 1762, 3988, 666, 29742, 4052, 2994, 585, 7231, 609, 741, 1378, 12194, 543, 7063, 538, 27590, 10415, 269, 2368, 1883, 1491, 25498, 1522, 1331, 1384, 265, 27915, 1524, 2462, 3853, 883, 4130, 3268, 281, 1879, 21947, 609, 513, 18447, 4305, 267, 971, 607, 13215, 513, 2352, 1847, 267, 621, 666, 581, 5363, 547, 2736, 621, 1524, 883, 4130, 3334, 269, 29760, 593, 1367, 2609, 2636, 9845, 547, 1628, 6015, 27261, 958, 267, 4227, 4606, 540, 8267, 332, 563, 265, 16418, 532, 1489, 689, 19393, 543, 9905, 281, 11109, 513, 2178, 3060, 540, 11215, 2043, 1472, 873, 666, 1118, 782, 519, 3017, 950, 6849, 2591, 538, 27590, 10415, 269, 3213, 2851, 267, 2319, 10863, 267, 543, 1256, 2828, 3544, 540, 519, 15547, 666, 1683, 5583, 267, 15260, 4269, 267, 543, 8404, 547, 1832, 2469, 563, 265, 16871, 513, 2208, 14820, 281, 13298, 982, 13156, 5821, 610, 22303, 607, 31837, 25236, 762, 9465, 267, 12561, 513, 2208, 14820, 1797, 7487, 873, 607, 3255, 585, 1565, 543, 6454, 269, 18964, 1762, 27590, 6814, 547, 9772, 713, 5133, 666, 6536, 30840, 543, 8990, 563, 265, 26875, 1944, 3106, 543, 6051, 281, 14171, 1697, 15416, 547, 2061, 7063, 267, 5275, 5401, 2564, 3007, 950, 2556, 267, 543, 3850, 7850, 942, 585, 1964, 543, 14317, 616, 1898, 3334, 540, 1022, 3811, 27590, 10415, 4876, 780, 309, 269, 10241, 3564, 717, 2096, 333, 10415, 692, 4407, 938, 1445, 538, 713, 1770, 814, 1044, 593, 11174, 5708, 10704, 593, 27590, 10415, 267, 519, 4245, 4121, 1934, 666, 8831, 2484, 3564, 519, 7706, 540, 5026, 269, 3509, 540, 519, 1482, 3741, 4019, 547, 824, 2127, 540, 1272, 1141, 1762, 1004, 949, 7237, 4250, 267, 14488, 267, 610, 22303, 269, 1635, 14237, 513, 2620, 7071, 585, 3332, 602, 7710, 891, 4798, 267, 649, 16491, 2104, 5481, 609, 519, 2645, 789, 991, 547, 6330, 8726, 2591, 2097, 741, 1259, 780, 27066, 1384, 29804, 889, 1080, 5652, 267, 918, 269, 630, 1001, 279, 1040, 4858, 557, 2037, 965, 269, 2107, 8619, 3883, 23255, 563, 8248, 327, 3464, 517, 267, 589, 269, 630, 1708, 272, 1040, 14472, 773, 1234, 3164, 267, 23910, 281, 717, 2096, 333, 10415, 19598, 542, 269, 2806, 2449, 7734, 585, 8479, 22419, 563, 307, 534, 10440, 267, 631, 1421, 26232, 600, 9369, 267, 962, 1421, 25300, 574, 9369, 267, 715, 1421, 26981, 1794, 11867, 267, 918, 1421, 1299, 1772, 327, 1731, 11867, 267, 590, 269, 630, 1001, 276, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29155, 1499, 8452, 538, 519, 454, 2958, 542, 799, 568, 1631, 25448, 1472, 476, 1911, 271, 6195, 269, 634, 11335, 5032, 729, 20948, 676, 454, 4942, 14535, 5974, 1299, 2961, 628, 698, 29562, 269, 15907, 476, 2412, 4696, 519, 3148, 540, 25448, 3357, 896, 4936, 4341, 269, 769, 519, 454, 276, 628, 2540, 519, 454, 305, 30689, 941, 8719, 676, 519, 8789, 27272, 966, 663, 1023, 269, 4438, 519, 476, 278, 628, 454, 1417, 1722, 25448, 729, 22983, 676, 519, 9099, 563, 6624, 7137, 1499, 10736, 547, 519, 9099, 5132, 563, 4913, 267, 6803, 13253, 723, 11478, 1063, 519, 29240, 1299, 7137, 1499, 2094, 454, 9199, 767, 713, 5680, 8525, 2483, 313, 324, 17458, 4886, 15278, 454, 8070, 8433, 13340, 476, 18597, 267, 3474, 787, 14675, 267, 14411, 267, 11404, 2793, 6395, 623, 273, 288, 476, 273, 311, 274, 454, 15648, 630, 290, 264, 14858, 17458, 4886, 15278, 267, 476, 1960, 277, 269, 2353, 2924, 11603, 269, 0, 2304, 1557, 568, 267, 676, 4214, 267, 513, 5339, 2376, 602, 6799, 519, 2278, 779, 4661, 267, 3622, 1210, 606, 12819, 1557, 2497, 269, 10749, 616, 3622, 19040, 607, 13680, 543, 6101, 269, 1879, 972, 616, 930, 602, 616, 811, 6101, 982, 1866, 267, 713, 568, 3622, 5462, 676, 2436, 621, 779, 513, 5888, 540, 2789, 3594, 563, 763, 2376, 3898, 666, 581, 7745, 909, 883, 1079, 2694, 281, 519, 4367, 267, 799, 616, 519, 1034, 1271, 851, 540, 519, 6221, 267, 543, 519, 3932, 267, 799, 616, 519, 13074, 269, 3962, 1557, 5161, 540, 513, 7008, 540, 9433, 267, 799, 1223, 723, 1896, 9433, 269, 634, 9433, 616, 11295, 2687, 547, 513, 1880, 2497, 267, 543, 3335, 1376, 609, 519, 6679, 3948, 267, 519, 1560, 267, 543, 1287, 519, 1439, 269, 3958, 267, 972, 616, 8320, 950, 519, 2376, 568, 7745, 909, 883, 476, 273, 267, 835, 547, 581, 7768, 538, 513, 1880, 942, 1974, 543, 835, 602, 666, 581, 8737, 538, 513, 1114, 1974, 540, 942, 563, 13625, 3584, 616, 1419, 13603, 689, 513, 5318, 5044, 540, 1114, 6878, 267, 971, 607, 14786, 267, 17476, 267, 12326, 267, 543, 4609, 267, 543, 616, 1287, 2016, 513, 6249, 547, 1489, 519, 9030, 2188, 799, 616, 2469, 547, 581, 2813, 269, 1452, 4798, 949, 1331, 519, 1888, 540, 519, 8313, 3294, 267, 610, 1256, 519, 2278, 540, 519, 1433, 269, 901, 568, 547, 948, 1118, 519, 2376, 1454, 4443, 547, 1174, 267, 538, 1840, 547, 3850, 519, 5856, 547, 1445, 593, 519, 1641, 693, 1688, 563, 32487, 616, 1360, 3982, 689, 824, 5686, 540, 6054, 267, 3226, 538, 519, 1249, 602, 789, 616, 711, 2854, 607, 513, 6093, 5692, 585, 513, 4081, 9872, 269, 13298, 982, 1373, 513, 6101, 7084, 267, 891, 3594, 616, 2854, 607, 3594, 267, 2495, 602, 972, 616, 1100, 3652, 602, 1827, 519, 6073, 538, 799, 519, 1557, 568, 2854, 269, 1306, 513, 1267, 540, 713, 267, 519, 1557, 666, 581, 2854, 593, 1022, 2603, 540, 3982, 5396, 267, 1519, 4376, 689, 513, 1870, 1544, 547, 707, 4357, 4760, 267, 547, 606, 6514, 610, 513, 6644, 4062, 269, 15380, 267, 519, 2376, 814, 1044, 2854, 585, 513, 1880, 1367, 610, 1895, 540, 1004, 543, 849, 519, 1641, 568, 6074, 2687, 547, 741, 1367, 2833, 563, 763, 1557, 568, 849, 606, 1271, 851, 540, 1603, 607, 513, 1797, 547, 2285, 14245, 267, 2059, 609, 3274, 4758, 1344, 547, 1866, 269, 898, 949, 849, 581, 8246, 547, 1683, 513, 2854, 2594, 547, 513, 1576, 865, 607, 547, 4217, 873, 1174, 621, 4586, 13625, 1603, 568, 1175, 835, 540, 519, 9998, 2010, 540, 21882, 602, 779, 1044, 1472, 585, 5553, 269, 13518, 899, 1082, 824, 2854, 1568, 267, 621, 814, 2919, 998, 519, 1296, 538, 1840, 547, 519, 2242, 538, 4066, 543, 519, 1259, 602, 649, 17492, 269, 0, 4462, 548, 4770, 519, 5295, 540, 14308, 454, 763, 22206, 571, 1326, 5052, 267, 24069, 540, 519, 2038, 476, 736, 628, 2540, 267, 10599, 1194, 24091, 585, 2021, 779, 1318, 547, 8917, 267, 741, 7569, 16079, 532, 998, 519, 23725, 832, 540, 1379, 543, 27200, 519, 3964, 1931, 269, 1358, 1031, 1463, 2962, 267, 3540, 27136, 17171, 267, 543, 1256, 17740, 3599, 607, 2645, 540, 13889, 267, 32222, 547, 581, 3623, 10642, 543, 32222, 547, 14883, 269, 4256, 6560, 729, 1558, 609, 1085, 1941, 267, 7759, 545, 2544, 267, 543, 30468, 269, 1809, 741, 967, 558, 3386, 6891, 543, 741, 3661, 538, 519, 7915, 32660, 540, 741, 2014, 23518, 873, 547, 22036, 543, 6038, 17636, 563, 1103, 519, 1482, 18916, 267, 519, 3807, 17547, 13813, 13889, 832, 616, 7432, 519, 24039, 540, 4187, 1996, 519, 29287, 15292, 540, 8733, 9552, 269, 1358, 616, 519, 4395, 1467, 9718, 619, 538, 519, 6370, 1996, 513, 2916, 31685, 267, 14053, 606, 1439, 547, 8093, 4492, 21341, 543, 10912, 585, 513, 6521, 2509, 4264, 1648, 3435, 269, 4256, 12485, 267, 899, 1346, 540, 519, 22206, 571, 1326, 5052, 267, 949, 581, 2938, 607, 26688, 267, 28842, 1304, 267, 610, 1256, 9097, 269, 1809, 3020, 1689, 814, 2760, 2097, 689, 4313, 543, 29077, 563, 4537, 12686, 519, 8892, 676, 2598, 4533, 532, 519, 10558, 454, 9617, 607, 519, 22206, 571, 1326, 5052, 22314, 519, 4567, 28943, 538, 741, 942, 267, 519, 3807, 17547, 13813, 13889, 832, 616, 4101, 31737, 1379, 3889, 2221, 269, 1358, 616, 2921, 513, 1796, 1996, 519, 9746, 4690, 602, 3922, 1047, 7443, 936, 519, 4541, 543, 519, 2797, 16918, 602, 7140, 513, 9420, 3750, 547, 519, 31587, 2916, 6433, 269, 4256, 3527, 616, 711, 1175, 827, 16069, 3282, 282, 789, 616, 827, 5337, 1746, 513, 9097, 556, 19960, 1456, 540, 938, 1648, 2104, 267, 513, 2104, 602, 2418, 1272, 543, 6940, 936, 2110, 3856, 2744, 563, 763, 22206, 571, 1326, 5052, 543, 519, 3807, 17547, 13813, 13889, 832, 267, 1498, 5258, 676, 942, 267, 616, 8087, 538, 741, 3483, 281, 14053, 11528, 1689, 543, 5126, 269, 5637, 616, 8348, 547, 7519, 267, 547, 27136, 5674, 267, 543, 547, 15093, 2123, 4313, 585, 519, 3152, 1434, 269, 769, 519, 3068, 540, 15746, 543, 967, 29924, 267, 789, 3442, 2962, 267, 789, 3442, 13889, 267, 543, 789, 3442, 519, 2619, 540, 4187, 563, 763, 13336, 540, 31052, 542, 454, 763, 9759, 540, 29450, 1143, 6013, 538, 15819, 6392, 267, 4101, 24407, 1379, 3889, 267, 543, 14957, 585, 1367, 5191, 543, 7862, 269, 898, 779, 513, 6891, 22993, 676, 519, 22206, 571, 1326, 5052, 543, 16079, 539, 676, 519, 3807, 17547, 13813, 13889, 832, 269, 1452, 616, 711, 2043, 18761, 593, 14784, 267, 855, 1004, 9141, 676, 513, 7096, 7287, 585, 5126, 563, 2414, 519, 1033, 847, 832, 945, 2243, 741, 2409, 267, 1577, 779, 3314, 602, 519, 22206, 571, 1326, 5052, 941, 2899, 31002, 607, 20737, 543, 17119, 1235, 269, 1809, 1686, 1121, 20047, 873, 607, 12325, 543, 23806, 540, 1689, 269, 4653, 267, 519, 3807, 17547, 13813, 13889, 832, 3068, 2147, 25197, 725, 543, 28639, 269, 1809, 789, 267, 899, 519, 22206, 571, 1326, 5052, 267, 1174, 602, 519, 6560, 585, 5126, 1419, 3340, 17522, 267, 27136, 17171, 267, 543, 1219, 4800, 563, 2026, 15156, 540, 5191, 543, 5126, 267, 649, 1058, 1796, 538, 17604, 609, 891, 2413, 6377, 21847, 269, 4256, 4339, 267, 1310, 782, 267, 568, 938, 4339, 269, 4256, 6560, 568, 513, 6560, 585, 6668, 267, 585, 513, 4264, 2104, 267, 543, 585, 513, 1158, 602, 3922, 2478, 1004, 543, 519, 4541, 936, 7443, 563, 9617, 607, 519, 22206, 571, 1326, 5052, 4359, 519, 2014, 540, 2021, 779, 2924, 267, 519, 3807, 17547, 13813, 13889, 832, 616, 11319, 519, 6302, 540, 2825, 17933, 269, 1358, 616, 267, 538, 9759, 267, 519, 1007, 22206, 571, 1326, 5052, 1765, 323, 2130, 267, 1219, 5050, 267, 543, 796, 777, 860, 13443, 26688, 267, 711, 585, 519, 19160, 540, 14784, 855, 585, 519, 19160, 540, 1689, 563, 28874, 23645, 3807, 17547, 13813, 454, 12041, 23540, 16907, 529, 9652, 13317, 1143, 4147, 8693, 7827, 20271, 894, 6554, 3117, 335, 16820, 28636, 5046, 268, 866, 11511, 9429, 26812, 1143, 17235, 543, 15722, 7321, 13188, 17912, 16010, 5333, 26838, 5240, 15875, 1143, 3223, 597, 10060, 1067, 23267, 9549, 700, 714, 570, 1380, 31767, 7869, 9012, 11619, 532, 15907, 27062, 17318, 20353, 7847, 21157, 623, 5014, 17318, 7377, 592, 1143, 14308, 32641, 6576, 4317, 9012, 2672, 7578, 4858, 591, 2006, 2136, 2276, 540, 3013, 2782, 0, 2026, 327, 7428, 2023, 2782, 17341, 454, 763, 12891, 7428, 2023, 2782, 17341, 16033, 919, 1346, 689, 519, 25110, 945, 941, 4503, 538, 519, 3689, 2622, 2782, 630, 4489, 275, 268, 4489, 279, 264, 543, 519, 5822, 2622, 2782, 630, 4350, 280, 268, 3707, 276, 1040, 898, 568, 4092, 693, 519, 1883, 22882, 1063, 26588, 874, 600, 20000, 543, 12891, 7428, 2023, 10830, 267, 2673, 547, 853, 6424, 779, 5783, 563, 763, 18189, 729, 8385, 9112, 538, 3965, 540, 1346, 7166, 610, 7508, 538, 519, 3689, 2622, 2782, 543, 729, 30792, 593, 476, 280, 628, 5239, 476, 4572, 272, 538, 513, 16008, 13984, 676, 18279, 11184, 23193, 601, 28243, 267, 25553, 1421, 18328, 294, 1421, 595, 23813, 1421, 681, 12991, 269, 898, 13408, 513, 25342, 3444, 609, 1651, 2213, 4484, 532, 593, 513, 9764, 6371, 539, 3490, 6462, 676, 6149, 3774, 532, 269, 634, 18189, 814, 1044, 6103, 4083, 5903, 539, 2094, 476, 1960, 274, 563, 763, 2110, 4670, 2630, 8843, 1344, 827, 1142, 540, 519, 28465, 1425, 545, 18779, 16033, 730, 593, 519, 12891, 7428, 2023, 2782, 17341, 267, 540, 799, 24369, 941, 4503, 538, 519, 3689, 2622, 2782, 543, 1614, 538, 519, 5822, 2622, 2782, 563, 763, 18189, 568, 513, 1880, 17122, 1448, 593, 3816, 27320, 10732, 267, 950, 1004, 5531, 547, 3314, 1346, 945, 723, 5747, 538, 2112, 269, 589, 1079, 8792, 16563, 568, 4767, 267, 1310, 799, 538, 2487, 1296, 513, 17079, 2401, 814, 5129, 634, 7831, 5403, 689, 519, 13486, 540, 853, 6424, 779, 5783, 267, 799, 14747, 513, 6131, 3816, 27320, 4303, 3028, 563, 763, 25110, 616, 18507, 585, 519, 3573, 942, 543, 3646, 540, 2199, 14787, 543, 12891, 7428, 2023, 17055, 6004, 19846, 1338, 5682, 538, 15388, 519, 12583, 540, 1346, 16033, 730, 593, 519, 12891, 7428, 2023, 2782, 17341, 269, 10515, 625, 540, 1010, 476, 1001, 280, 8313, 645, 1872, 956, 11910, 532, 585, 23067, 689, 19759, 1744, 2231, 281, 634, 12891, 7428, 2023, 22307, 4536, 543, 589, 3305, 523, 616, 2139, 676, 21856, 538, 853, 6424, 779, 5783, 269, 0, 21886, 11736, 568, 513, 2565, 1907, 585, 519, 3354, 540, 1004, 267, 1344, 543, 519, 5769, 779, 5989, 269, 1284, 2461, 2469, 547, 960, 609, 4891, 11451, 547, 1489, 519, 946, 540, 2178, 14238, 543, 2061, 5906, 8942, 547, 14020, 922, 7145, 610, 2061, 922, 6388, 563, 1103, 5168, 267, 1018, 713, 3915, 1131, 2154, 568, 513, 16601, 3710, 2987, 2527, 1394, 21830, 585, 18374, 1169, 3926, 610, 3028, 596, 946, 602, 814, 513, 2780, 538, 621, 610, 18953, 519, 5769, 693, 1022, 1448, 269, 1403, 621, 10596, 267, 713, 3915, 7436, 519, 1439, 540, 2178, 14238, 585, 6740, 1239, 593, 3457, 282, 1346, 1131, 1631, 581, 10363, 547, 6133, 538, 3013, 269, 5769, 8881, 476, 6200, 281, 834, 310, 1551, 656, 31383, 257, 14238, 654, 1551, 656, 268, 27893, 7402, 11736, 269, 4521, 11268, 568, 5051, 6849, 2591, 1813, 547, 519, 7613, 540, 834, 342, 1551, 656, 31383, 257, 14238, 269, 6796, 7426, 267, 3926, 9755, 267, 543, 3498, 9367, 616, 11766, 532, 2472, 543, 2533, 609, 14238, 602, 666, 1152, 581, 1232, 7973, 539, 676, 519, 1439, 3593, 610, 6075, 269, 634, 1715, 661, 27073, 8668, 9291, 12846, 21784, 839, 7402, 11736, 543, 5131, 7325, 476, 6349, 267, 476, 1708, 271, 5616, 27333, 896, 25710, 6412, 22987, 585, 1007, 5616, 568, 27333, 896, 25710, 6412, 22987, 585, 922, 4566, 547, 9772, 513, 1007, 22665, 14238, 7014, 269, 27991, 2254, 1315, 5192, 1399, 16103, 5616, 781, 4566, 547, 946, 513, 1007, 4950, 7014, 814, 6659, 4145, 1851, 454, 763, 7454, 7402, 11736, 12229, 585, 476, 1708, 271, 1923, 7193, 300, 698, 454, 763, 9839, 1076, 539, 17079, 16760, 938, 5132, 538, 519, 5150, 1357, 267, 855, 513, 1158, 1510, 519, 14238, 3301, 602, 9839, 1076, 539, 23699, 1131, 581, 1256, 8338, 269, 769, 1249, 267, 621, 781, 942, 585, 519, 1357, 547, 1491, 513, 1434, 2904, 476, 1789, 267, 476, 1708, 271, 5788, 1411, 786, 1265, 621, 15985, 1194, 538, 14238, 2645, 899, 13382, 294, 267, 6936, 290, 7973, 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 ]
[ 3648, 11097, 2989, 1813, 547, 519, 5769, 540, 12085, 630, 31166, 1040, 4658, 616, 26490, 1947, 3695, 3681, 602, 9192, 519, 1079, 267, 1419, 609, 11141, 2164, 269, 3371, 616, 2947, 6080, 602, 4749, 946, 14164, 803, 23298, 16361, 269, 1358, 1397, 1946, 865, 1082, 3906, 666, 4324, 689, 713, 26399, 540, 4066, 563, 763, 5663, 2872, 814, 24903, 4607, 930, 540, 519, 1034, 1713, 543, 5571, 2640, 689, 14164, 803, 23298, 16361, 269, 11633, 11608, 267, 2298, 1852, 1949, 267, 543, 10198, 3515, 616, 930, 540, 519, 1082, 5663, 25411, 1255, 602, 2196, 609, 803, 23298, 16361, 3741, 269, 4495, 14164, 4066, 2968, 811, 7839, 267, 621, 729, 2653, 585, 2872, 3401, 547, 1491, 5413, 540, 1312, 891, 4066, 563, 763, 5769, 540, 12085, 7028, 4824, 12957, 267, 1732, 1239, 4015, 267, 543, 8476, 15287, 267, 1851, 824, 1919, 269, 13583, 20445, 666, 946, 4853, 11608, 547, 20928, 32262, 610, 3888, 5100, 8596, 593, 12051, 3937, 547, 1205, 25887, 540, 2930, 2152, 1354, 14286, 2049, 563, 31166, 4066, 849, 2087, 7221, 3710, 609, 803, 23298, 16361, 267, 971, 607, 519, 18981, 3684, 269, 769, 835, 2013, 267, 3173, 7923, 5100, 8596, 547, 513, 17819, 3684, 1031, 547, 1118, 513, 8514, 6729, 10320, 5057, 563, 5649, 811, 1934, 269, 0, 6124, 10684, 4347, 324, 1846, 25667, 1299, 932, 7995, 538, 631, 823, 454, 1103, 513, 14262, 1353, 1141, 513, 1715, 10684, 4347, 324, 1846, 25667, 1299, 932, 7995, 538, 631, 823, 267, 3744, 723, 7307, 547, 8396, 8377, 543, 1644, 1072, 2152, 538, 8983, 676, 1210, 513, 1007, 3075, 6765, 1505, 269, 901, 1505, 3322, 513, 6263, 15298, 1572, 513, 6289, 690, 601, 267, 799, 2636, 519, 3075, 547, 581, 9447, 2047, 547, 519, 6797, 267, 4227, 519, 1981, 540, 2427, 2360, 563, 763, 1895, 540, 3173, 3743, 585, 713, 14634, 26195, 2888, 602, 713, 1505, 1223, 723, 513, 13710, 1764, 593, 519, 2126, 540, 1585, 2175, 267, 1519, 9761, 6797, 2068, 267, 1826, 476, 273, 3987, 267, 543, 1164, 8501, 538, 519, 2104, 269, 898, 779, 4502, 15663, 602, 513, 9645, 1297, 540, 2043, 267, 5111, 476, 1911, 2929, 4892, 267, 20920, 609, 519, 1072, 2152, 2404, 609, 8377, 543, 1644, 10894, 4713, 269, 634, 13274, 577, 11017, 540, 713, 14262, 1935, 7740, 593, 513, 10991, 11178, 9449, 6646, 1634, 607, 513, 16815, 668, 574, 2045, 269, 1452, 10399, 1404, 513, 2565, 1909, 538, 12044, 519, 6797, 779, 10307, 269, 1717, 267, 950, 3144, 538, 513, 3044, 6073, 267, 789, 666, 723, 2427, 2360, 543, 4389, 7145, 563, 2414, 7753, 891, 2591, 267, 519, 3744, 2919, 6289, 690, 1564, 609, 11874, 9901, 7252, 267, 799, 789, 1223, 1463, 4481, 547, 6797, 2281, 1572, 14817, 14231, 269, 901, 5730, 13389, 24458, 602, 519, 3075, 729, 9447, 547, 519, 6797, 267, 1141, 621, 2877, 547, 957, 269, 634, 3744, 20206, 4327, 519, 16815, 668, 574, 2045, 3075, 267, 4949, 16951, 4435, 267, 1369, 891, 11874, 9901, 6289, 690, 1564, 1634, 607, 4888, 19199, 543, 1287, 13950, 891, 547, 8983, 7092, 689, 8377, 269, 1452, 8983, 1185, 1044, 593, 513, 1164, 1606, 13610, 267, 1164, 19339, 267, 543, 1164, 268, 3273, 6856, 565, 2732, 585, 606, 6905, 8653, 269, 8330, 517, 5109, 569, 267, 519, 8983, 16271, 547, 713, 2126, 711, 1152, 8774, 519, 2597, 789, 1185, 5892, 6591, 855, 849, 4810, 513, 5786, 538, 741, 8501, 2157, 267, 2059, 609, 513, 7771, 538, 5739, 6797, 6553, 563, 1607, 6454, 729, 11911, 547, 519, 11852, 540, 519, 9258, 8501, 3560, 13374, 267, 799, 2337, 2539, 8501, 2157, 269, 2755, 519, 3169, 6127, 3297, 519, 2597, 2530, 616, 711, 4628, 6956, 2943, 267, 519, 3173, 3494, 602, 2799, 3170, 16617, 543, 513, 5818, 538, 10894, 2557, 1223, 581, 7700, 2188, 269, 2290, 1713, 2460, 540, 713, 1353, 729, 602, 519, 8983, 4797, 547, 723, 606, 14031, 585, 741, 1164, 29213, 1426, 2732, 1282, 519, 2126, 269, 901, 24716, 609, 519, 2833, 540, 3425, 1210, 1114, 2597, 2530, 5061, 563, 2005, 779, 2629, 547, 11168, 602, 3606, 1382, 568, 2838, 547, 3715, 513, 4276, 1063, 6901, 5342, 593, 8983, 543, 519, 2009, 3156, 540, 713, 2126, 538, 3425, 269, 1717, 267, 891, 4681, 3180, 9153, 585, 519, 1646, 540, 5061, 547, 2232, 10894, 2175, 899, 8377, 267, 799, 568, 513, 1713, 1857, 1072, 6161, 563, 7804, 269, 590, 269, 21487, 774, 599, 3861, 24170, 267, 519, 1291, 11001, 267, 814, 3144, 3268, 2509, 7432, 713, 6602, 883, 513, 1483, 8996, 3070, 676, 1071, 1922, 15929, 513, 23492, 2754, 267, 7261, 3279, 634, 31706, 269, 4256, 3804, 568, 547, 1020, 5499, 3075, 6765, 5867, 602, 666, 10502, 3077, 1808, 2127, 540, 519, 1560, 267, 1818, 5574, 811, 2500, 543, 609, 7864, 2427, 2360, 269, 901, 3078, 1382, 814, 1044, 3370, 538, 623, 2793, 306, 715, 1410, 639, 267, 8744, 721, 835, 1900, 6251, 547, 28530, 8377, 543, 1644, 1072, 2152, 538, 3425, 998, 4359, 3075, 6765, 2409, 269, 0, 24109, 753, 723, 1044, 2713, 609, 267, 543, 12391, 585, 267, 7314, 585, 811, 982, 476, 8517, 271, 1296, 269, 1284, 2461, 2864, 23816, 540, 891, 2185, 20356, 539, 7068, 543, 930, 540, 721, 1107, 519, 3504, 21072, 1107, 1256, 26902, 5792, 873, 269, 1284, 723, 30042, 873, 865, 1454, 602, 789, 8910, 581, 2182, 20399, 547, 7639, 856, 538, 519, 3552, 267, 607, 789, 1031, 547, 798, 930, 27453, 3516, 563, 1607, 1797, 602, 649, 607, 741, 1416, 575, 1392, 1058, 2119, 547, 1413, 1310, 873, 538, 519, 1655, 6752, 2009, 269, 1358, 991, 721, 585, 4027, 267, 1426, 267, 543, 513, 6263, 3787, 540, 570, 9448, 269, 769, 2132, 789, 2285, 721, 11995, 14902, 338, 593, 700, 5357, 290, 1846, 563, 2467, 616, 811, 982, 476, 276, 4191, 540, 10714, 855, 713, 2376, 786, 1152, 3382, 476, 276, 585, 519, 19160, 540, 1786, 6143, 563, 288, 2973, 3032, 568, 513, 6126, 3032, 282, 4061, 267, 513, 18660, 3032, 1522, 711, 581, 7357, 6126, 269, 901, 568, 513, 1129, 540, 10714, 269, 898, 949, 711, 4019, 547, 1762, 7314, 282, 713, 568, 1945, 602, 3622, 10039, 547, 4587, 7314, 945, 1100, 3476, 1294, 519, 991, 585, 25462, 269, 6875, 5279, 540, 707, 4587, 3032, 779, 25462, 547, 2327, 602, 789, 2611, 2973, 267, 6126, 7314, 563, 290, 1846, 267, 607, 782, 824, 6469, 2831, 267, 991, 8446, 269, 19949, 1510, 513, 3032, 9517, 11090, 949, 32603, 1055, 12341, 543, 14897, 267, 547, 2760, 581, 1336, 1586, 269, 16473, 713, 689, 8345, 609, 930, 4990, 540, 8446, 593, 519, 3662, 269, 8891, 16776, 616, 2139, 538, 1082, 1114, 5546, 267, 15437, 267, 543, 7306, 547, 2327, 596, 666, 1265, 519, 1318, 835, 585, 707, 2370, 835, 563, 2304, 14968, 3032, 666, 1406, 7654, 581, 513, 6126, 3032, 269, 3683, 7076, 7314, 616, 811, 2693, 547, 7985, 689, 3987, 267, 2295, 2068, 543, 17256, 8778, 2042, 269, 634, 8545, 568, 1317, 17324, 7314, 616, 711, 607, 3742, 607, 741, 2960, 333, 1512, 13413, 269, 1411, 666, 2061, 713, 676, 1152, 8023, 873, 835, 7594, 513, 1554, 543, 711, 936, 16567, 873, 267, 2523, 950, 596, 2461, 2476, 585, 513, 7008, 540, 2395, 563, 299, 3151, 4522, 568, 513, 1129, 540, 3983, 1072, 538, 513, 3032, 267, 2523, 538, 1762, 3283, 269, 15482, 2068, 666, 8915, 607, 3983, 7362, 267, 5323, 565, 532, 19975, 267, 3668, 540, 14031, 610, 5023, 1928, 269, 16473, 713, 676, 2921, 707, 3032, 547, 2834, 18362, 676, 519, 2199, 17022, 563, 290, 1846, 609, 7904, 553, 616, 513, 2386, 1129, 540, 10714, 269, 901, 568, 835, 540, 519, 1034, 8886, 908, 1919, 602, 666, 4755, 547, 1022, 3662, 543, 621, 666, 1406, 581, 1932, 16990, 585, 741, 1416, 3464, 269, 16473, 7904, 320, 28383, 609, 2834, 7459, 269, 2422, 8743, 543, 7904, 320, 8869, 267, 2458, 1513, 267, 838, 7590, 610, 546, 2354, 269, 1715, 518, 2472, 1331, 5711, 543, 11528, 5544, 6823, 5521, 15969, 563, 30821, 16193, 5206, 713, 2376, 827, 519, 4191, 540, 4620, 10714, 269, 0, 306, 1729, 6291, 568, 606, 3504, 5259, 6138, 8547, 676, 24789, 334, 540, 13022, 1756, 538, 519, 476, 274, 6113, 2540, 645, 5861, 269, 634, 2165, 968, 560, 18757, 892, 24865, 689, 519, 853, 10394, 7313, 1731, 850, 267, 610, 13556, 11188, 577, 267, 606, 1930, 2344, 538, 18603, 1141, 519, 2038, 853, 18757, 15806, 10356, 547, 4001, 543, 5385, 2093, 269, 769, 9759, 267, 853, 334, 6291, 11414, 602, 8026, 16495, 568, 711, 1152, 2556, 855, 849, 6190, 547, 3035, 3020, 8788, 563, 4407, 1082, 15806, 17947, 853, 334, 6291, 267, 1079, 8037, 5515, 4196, 607, 938, 3119, 10274, 281, 7354, 29132, 267, 513, 4936, 22267, 267, 5856, 267, 543, 20131, 547, 715, 3266, 267, 543, 29849, 589, 675, 2993, 639, 267, 519, 2063, 968, 16591, 892, 4936, 14890, 563, 2005, 779, 711, 1018, 4523, 547, 596, 267, 855, 875, 596, 2746, 547, 621, 602, 6927, 563, 12024, 1082, 824, 3504, 15806, 267, 519, 853, 334, 923, 3494, 602, 519, 3483, 540, 1272, 568, 547, 3035, 552, 644, 2727, 8205, 269, 2755, 972, 568, 1100, 3169, 2296, 6697, 585, 713, 5259, 2165, 267, 621, 568, 4122, 12261, 607, 968, 327, 1952, 1465, 2223, 4352, 621, 11438, 513, 4514, 2495, 269, 661, 644, 2727, 8205, 666, 581, 1732, 6956, 607, 968, 320, 1134, 24331, 267, 30436, 1272, 3034, 306, 1729, 6291, 31234, 602, 519, 1883, 547, 513, 1434, 1272, 6013, 9003, 538, 16495, 269, 634, 21644, 267, 1519, 929, 28619, 267, 5126, 267, 10100, 267, 543, 20208, 267, 616, 2808, 1434, 267, 1247, 741, 1727, 657, 2572, 267, 971, 607, 18174, 880, 1145, 543, 21440, 267, 616, 2938, 607, 3983, 269, 1703, 616, 849, 1978, 1919, 267, 899, 1072, 267, 12257, 267, 5898, 267, 4222, 267, 5763, 267, 10639, 267, 543, 2147, 3344, 267, 602, 616, 9444, 1434, 6862, 3983, 543, 1058, 581, 9763, 607, 967, 27075, 563, 10214, 538, 519, 3068, 540, 3875, 32333, 610, 4049, 2168, 8731, 618, 267, 513, 4075, 6681, 1268, 1869, 814, 519, 1761, 585, 552, 644, 2727, 8205, 267, 607, 5007, 6381, 3112, 3441, 741, 4075, 6681, 1915, 269, 4495, 835, 31267, 16495, 267, 4986, 814, 519, 1379, 547, 6861, 835, 779, 1272, 269, 769, 853, 18757, 7744, 267, 16495, 4564, 519, 533, 4883, 12386, 540, 8788, 563, 5591, 812, 779, 1434, 676, 8009, 269, 12484, 826, 814, 547, 581, 19927, 563, 6097, 547, 519, 853, 334, 923, 267, 621, 568, 1271, 711, 547, 581, 4371, 18177, 585, 1919, 3564, 938, 1852, 269, 4935, 267, 1247, 513, 9952, 818, 7815, 6663, 585, 519, 3077, 267, 18644, 621, 568, 711, 519, 10700, 3804, 269, 634, 3020, 2268, 540, 606, 818, 7815, 779, 5578, 6013, 538, 741, 11428, 547, 4742, 519, 1655, 818, 7815, 789, 666, 581, 269, 634, 853, 334, 923, 15974, 602, 649, 9772, 513, 2147, 14820, 950, 13197, 938, 1272, 3853, 269, 8307, 938, 1378, 3527, 543, 4555, 616, 1369, 938, 9787, 269, 1403, 649, 2015, 5007, 2188, 267, 799, 616, 3564, 938, 1852, 267, 607, 2556, 585, 938, 8788, 267, 649, 882, 22055, 880, 938, 5539, 585, 938, 1378, 1134, 5630, 547, 4960, 269, 634, 853, 334, 923, 2070, 713, 607, 513, 3765, 7666, 3660, 1935, 267, 607, 938, 8788, 6038, 6013, 4628, 1369, 938, 1378, 1379, 563, 763, 853, 334, 923, 267, 945, 941, 20562, 515, 1235, 267, 4371, 519, 3661, 602, 2696, 543, 519, 26355, 616, 835, 543, 519, 1482, 269, 1306, 513, 1267, 267, 789, 2808, 3388, 538, 519, 7122, 267, 1519, 10007, 267, 4054, 267, 2831, 267, 543, 3425, 267, 607, 7533, 2694, 540, 2696, 269, 1358, 849, 5156, 602, 2696, 814, 3483, 2685, 6896, 519, 1158, 547, 581, 607, 1434, 607, 2009, 269, 4014, 789, 17947, 513, 15002, 2065, 7122, 267, 789, 1705, 711, 7947, 519, 10206, 540, 1480, 5191, 269, 1358, 5156, 602, 12556, 543, 1863, 786, 666, 30598, 1510, 27171, 563, 2791, 723, 1379, 936, 707, 2247, 587, 499, 2254, 3544, 2621, 269, 7464, 1125, 713, 267, 543, 596, 786, 1265, 4222, 563, 10214, 2221, 267, 853, 334, 6291, 5170, 547, 8300, 543, 7668, 1004, 2066, 519, 8608, 269, 4706, 10752, 723, 1044, 7471, 883, 2413, 21911, 543, 1582, 25298, 3332, 267, 4543, 2043, 11883, 609, 2566, 267, 14488, 267, 543, 519, 2591, 540, 3232, 1272, 269, 853, 334, 6291, 779, 8561, 593, 1582, 20820, 267, 6043, 267, 543, 5837, 8699, 3788, 607, 4143, 1631, 607, 621, 729, 5553, 3516, 563, 24552, 540, 27067, 454, 14881, 2648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1228, 327, 267, 1299, 12891, 9707, 328, 267, 476, 1220, 271, 282, 5576, 331, 13774, 267, 4728, 2088, 267, 1299, 17368, 517, 267, 476, 1220, 279, 282, 14355, 267, 29807, 976, 267, 1299, 1234, 583, 839, 267, 476, 1220, 277, 1040, 634, 3095, 1063, 16105, 4393, 538, 2575, 543, 538, 1893, 2488, 3606, 1489, 585, 519, 16937, 1063, 891, 1079, 9729, 673, 5121, 543, 1489, 5571, 1382, 883, 519, 1761, 2640, 540, 7574, 2866, 585, 1453, 693, 1981, 585, 1893, 543, 5924, 2542, 23043, 563, 10387, 10899, 4393, 538, 7574, 23260, 454, 763, 3929, 1543, 540, 2575, 568, 24903, 835, 540, 922, 1034, 32330, 2934, 267, 609, 519, 946, 540, 2101, 543, 5634, 12331, 4730, 513, 4105, 1909, 538, 9591, 519, 3929, 1543, 540, 519, 4062, 269, 1975, 520, 6053, 5730, 2409, 267, 971, 607, 535, 28122, 267, 6542, 602, 6947, 547, 513, 4062, 540, 3929, 2575, 267, 607, 15951, 676, 519, 16045, 267, 31591, 2620, 2634, 3889, 538, 519, 18215, 545, 1062, 267, 1519, 519, 993, 17789, 323, 8403, 267, 519, 28481, 2086, 531, 5250, 267, 519, 1318, 5887, 1537, 4174, 23628, 267, 543, 519, 2451, 1309, 644, 622, 13540, 630, 27778, 3430, 4815, 1696, 620, 1421, 476, 1001, 272, 282, 25391, 1564, 577, 267, 674, 761, 345, 267, 1299, 642, 269, 595, 1090, 517, 267, 667, 269, 962, 1421, 28228, 28705, 267, 918, 1421, 267, 1299, 17054, 20143, 328, 267, 589, 269, 667, 1421, 476, 1220, 277, 282, 16334, 11839, 1696, 620, 1421, 476, 1001, 272, 1040, 4014, 3173, 723, 1279, 4080, 28882, 12623, 11496, 538, 3210, 547, 3929, 1543, 540, 2575, 630, 291, 822, 1749, 517, 267, 1299, 18018, 323, 22844, 267, 918, 1421, 476, 1960, 277, 282, 631, 1731, 583, 3279, 1696, 620, 1421, 476, 1001, 273, 282, 5576, 28704, 1299, 21541, 528, 267, 476, 1220, 272, 282, 962, 12320, 541, 1690, 1696, 620, 1421, 476, 1001, 275, 1070, 2394, 5063, 267, 519, 8849, 2707, 540, 713, 15262, 729, 7164, 269, 589, 21800, 661, 9680, 543, 535, 28122, 1353, 4080, 2178, 21374, 1063, 519, 4110, 540, 13672, 543, 12498, 12623, 11496, 538, 4776, 30613, 16794, 630, 553, 6027, 676, 661, 9680, 264, 543, 11852, 538, 17391, 16794, 267, 6147, 31616, 267, 543, 993, 17789, 323, 8403, 630, 553, 6027, 676, 535, 28122, 264, 1282, 606, 14156, 1130, 550, 543, 26901, 532, 4305, 630, 291, 3315, 1696, 620, 1421, 476, 1001, 280, 1040, 769, 519, 1699, 1353, 267, 649, 849, 4767, 4776, 30613, 12623, 11496, 538, 1312, 540, 891, 4908, 13164, 538, 3210, 547, 1312, 5634, 543, 2101, 12331, 267, 11021, 11852, 538, 835, 610, 811, 540, 891, 535, 28122, 268, 30009, 4525, 1282, 519, 6947, 6712, 540, 938, 1353, 269, 1703, 729, 1100, 7681, 1063, 7574, 2866, 543, 519, 4110, 540, 12623, 11496, 4767, 269, 1306, 4330, 1657, 267, 1875, 16443, 5974, 616, 6213, 547, 513, 3099, 540, 7574, 6724, 630, 10175, 9522, 1275, 267, 11733, 267, 543, 7574, 2511, 264, 543, 616, 5827, 540, 8965, 2773, 602, 13147, 923, 8036, 12372, 630, 19136, 663, 267, 476, 1220, 274, 1040, 634, 3668, 540, 606, 1198, 538, 28882, 12623, 11496, 5267, 602, 3929, 4393, 538, 713, 2463, 568, 513, 2489, 1480, 5578, 269, 898, 568, 1271, 547, 4063, 267, 2705, 267, 602, 519, 3095, 1063, 28882, 12623, 11496, 543, 3929, 4393, 568, 513, 17895, 894, 835, 267, 543, 865, 891, 1239, 1058, 581, 14648, 609, 13657, 269, 21452, 267, 972, 729, 513, 7678, 538, 519, 1198, 540, 7154, 538, 519, 13672, 6512, 267, 11021, 602, 519, 5634, 7154, 949, 2270, 3152, 3929, 1344, 982, 519, 2101, 7154, 269, 16952, 2090, 616, 2877, 609, 3677, 3732, 7306, 543, 1483, 6066, 7403, 540, 3929, 1533, 689, 5171, 547, 1449, 713, 8367, 563, 21918, 14591, 540, 519, 1699, 1353, 454, 2467, 616, 1614, 1292, 7687, 538, 519, 1699, 1353, 269, 3689, 267, 4352, 661, 14641, 1239, 2488, 513, 21230, 1434, 6885, 593, 519, 13796, 1576, 540, 9729, 673, 4393, 267, 621, 666, 3717, 693, 1655, 1152, 21432, 569, 547, 519, 2634, 4525, 3238, 538, 602, 4393, 269, 4014, 649, 1031, 606, 30714, 10959, 631, 25712, 2634, 547, 7447, 2959, 267, 621, 786, 581, 2556, 547, 9192, 661, 14641, 609, 25191, 7293, 18909, 1239, 538, 2104, 2090, 547, 1732, 7447, 519, 9729, 673, 2959, 585, 519, 2360, 649, 723, 13006, 543, 556, 6088, 610, 21613, 519, 1699, 1353, 1210, 513, 4480, 609, 1732, 8901, 8856, 971, 607, 11275, 334, 775, 13921, 2762, 630, 300, 9680, 1040, 901, 1131, 1450, 721, 547, 8774, 1769, 593, 519, 2470, 540, 519, 18906, 1308, 3157, 7722, 676, 12372, 543, 519, 2470, 540, 519, 2994, 1031, 676, 1875, 16443, 5974, 547, 19665, 26107, 269, 5822, 267, 938, 3312, 1353, 1210, 891, 15128, 8246, 513, 1970, 29213, 19650, 2121, 5116, 538, 519, 476, 1015, 268, 736, 1062, 15007, 543, 3976, 26518, 547, 519, 15958, 1355, 22809, 267, 1247, 649, 1031, 513, 1164, 29213, 476, 12553, 3887, 937, 549, 1372, 2121, 543, 26518, 519, 595, 345, 19650, 5116, 593, 519, 14584, 547, 5447, 609, 824, 2090, 538, 1164, 29213, 1949, 269, 634, 946, 540, 1114, 8100, 949, 1860, 519, 6476, 540, 2164, 2066, 2090, 630, 297, 1195, 576, 1299, 17664, 542, 267, 476, 1220, 276, 1040, 7053, 267, 649, 1705, 711, 1331, 513, 6007, 540, 5778, 17595, 1670, 4152, 547, 3313, 2436, 519, 1079, 2516, 941, 20083, 585, 15977, 2188, 538, 824, 11890, 267, 971, 607, 26068, 21842, 610, 2324, 3965, 269, 8892, 2090, 1058, 1331, 891, 3800, 547, 2272, 585, 1761, 3791, 4632, 563, 17951, 18115, 328, 267, 589, 1421, 6755, 565, 9579, 328, 267, 645, 1421, 26751, 335, 793, 8643, 267, 674, 1421, 1546, 966, 4532, 523, 17844, 267, 631, 1421, 16763, 267, 681, 1421, 595, 545, 3249, 25651, 267, 700, 1421, 6022, 4861, 320, 267, 667, 269, 543, 853, 1122, 1725, 334, 267, 700, 1421, 476, 1220, 273, 269, 23634, 673, 2634, 6114, 547, 23066, 1651, 784, 745, 640, 543, 4852, 12519, 18670, 538, 7969, 1893, 281, 606, 2680, 5829, 1761, 1353, 269, 29249, 16707, 267, 476, 27088, 263, 272, 1070, 6032, 269, 276, 268, 279, 563, 19136, 663, 267, 661, 269, 630, 1220, 274, 264, 2859, 827, 519, 7574, 6791, 540, 1660, 1227, 2150, 11712, 19700, 269, 7788, 1023, 540, 519, 1715, 3840, 9142, 540, 7070, 267, 476, 15886, 263, 272, 2567, 476, 19054, 268, 24374, 563, 289, 517, 752, 323, 17369, 712, 267, 645, 1421, 661, 325, 974, 330, 9618, 345, 1228, 327, 267, 589, 269, 543, 12891, 9707, 328, 670, 1421, 476, 1220, 271, 269, 2776, 14083, 1867, 593, 519, 2360, 540, 5283, 21288, 703, 29396, 3797, 538, 519, 14317, 540, 14655, 513, 3508, 545, 2550, 269, 476, 14444, 268, 8182, 563, 289, 578, 1782, 267, 667, 269, 700, 1421, 28711, 267, 918, 1421, 932, 16211, 267, 808, 269, 667, 1421, 11010, 345, 267, 808, 1421, 1299, 8830, 1407, 267, 667, 269, 630, 1220, 280, 1040, 11683, 543, 5634, 2575, 3379, 547, 9599, 543, 1016, 706, 539, 4633, 269, 634, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 267, 476, 14096, 263, 272, 1070, 476, 5392, 272, 268, 2004, 274, 563, 27778, 3430, 4815, 267, 661, 1421, 2353, 19441, 267, 966, 1421, 32181, 1068, 267, 645, 1421, 10496, 10849, 523, 267, 570, 1421, 966, 691, 328, 664, 523, 267, 715, 1421, 15281, 655, 514, 523, 267, 590, 269, 918, 1421, 1299, 570, 969, 8643, 655, 328, 267, 631, 269, 630, 1001, 272, 1040, 589, 6198, 18909, 1353, 540, 6126, 543, 8909, 4664, 538, 2575, 609, 543, 1510, 18405, 269, 13571, 4536, 538, 10017, 267, 476, 273, 267, 476, 28143, 563, 10111, 28496, 267, 681, 1421, 1299, 808, 1120, 518, 267, 808, 269, 674, 269, 630, 4198, 280, 1040, 2776, 31084, 1505, 585, 4791, 8990, 540, 6986, 2389, 821, 29676, 269, 4750, 540, 16594, 543, 24651, 15136, 267, 476, 2190, 263, 275, 1070, 476, 20065, 268, 24833, 563, 28495, 28839, 267, 570, 269, 631, 1421, 23910, 267, 595, 269, 570, 1421, 1299, 18741, 326, 731, 267, 631, 269, 623, 269, 630, 1001, 274, 1040, 23634, 673, 4633, 17272, 12097, 3210, 3270, 538, 2789, 17391, 4610, 269, 4750, 540, 11671, 31850, 5735, 267, 476, 8099, 267, 476, 10082, 268, 6245, 563, 290, 992, 1457, 681, 294, 630, 2735, 276, 264, 32185, 540, 519, 11683, 19724, 5940, 8012, 1547, 274, 269, 670, 539, 4577, 267, 28042, 267, 543, 589, 8997, 5494, 3234, 5209, 269, 645, 5369, 21978, 17502, 476, 2537, 281, 27183, 268, 22332, 563, 291, 3315, 267, 594, 1421, 13879, 267, 667, 1421, 670, 342, 836, 267, 674, 1421, 17340, 651, 267, 589, 1421, 21001, 24229, 267, 661, 269, 681, 1421, 1299, 715, 553, 19513, 267, 590, 269, 808, 269, 630, 1001, 280, 1040, 5082, 549, 775, 13921, 2762, 9356, 519, 2534, 540, 1016, 2275, 677, 673, 2634, 4525, 1282, 1935, 2914, 603, 9526, 531, 7180, 1247, 6947, 547, 2575, 269, 11660, 18614, 267, 476, 280, 263, 272, 1070, 476, 280, 6078, 276, 563, 291, 822, 1749, 517, 267, 681, 269, 808, 1421, 1299, 18018, 323, 22844, 267, 918, 269, 630, 32295, 12175, 630, 1960, 277, 1040, 11020, 12623, 11496, 269, 14600, 4964, 563, 5327, 1731, 534, 267, 681, 1421, 590, 2946, 12455, 928, 267, 674, 1421, 543, 674, 27688, 331, 267, 645, 269, 630, 1220, 277, 1040, 1323, 14825, 730, 6997, 9934, 3590, 585, 4427, 323, 1204, 532, 519, 5274, 24583, 13887, 23634, 1410, 593, 18909, 2480, 753, 883, 21859, 1537, 9122, 3204, 687, 540, 9314, 269, 11671, 13548, 476, 4029, 263, 274, 1070, 476, 280, 6924, 1700, 280, 3199, 563, 25811, 518, 267, 595, 269, 570, 1421, 28828, 345, 267, 595, 269, 589, 1421, 16441, 267, 962, 269, 670, 1421, 2961, 571, 3118, 267, 681, 269, 590, 1421, 32149, 267, 589, 269, 595, 1421, 2701, 339, 820, 267, 808, 269, 589, 1421, 3267, 1299, 18741, 326, 731, 267, 631, 269, 623, 269, 630, 1220, 279, 1040, 23634, 673, 2534, 3270, 3589, 4633, 7130, 2702, 269, 7186, 29249, 267, 476, 1556, 263, 276, 1070, 476, 2568, 274, 563, 292, 3164, 1777, 654, 630, 1220, 275, 264, 10435, 23281, 540, 9412, 781, 570, 4689, 7010, 269, 8535, 7869, 6732, 476, 1015, 630, 275, 1916, 293, 27688, 331, 267, 645, 269, 630, 1001, 273, 1040, 5131, 20776, 2536, 269, 11671, 13548, 267, 476, 7830, 263, 273, 1070, 476, 6507, 275, 1700, 4281, 272, 563, 293, 3072, 20143, 328, 267, 589, 6185, 1421, 623, 10623, 11717, 267, 661, 269, 543, 670, 1695, 928, 267, 589, 1421, 476, 1960, 274, 269, 7926, 5829, 2634, 30372, 1282, 2067, 4633, 4393, 281, 12186, 540, 23066, 267, 24466, 543, 4852, 12519, 19374, 269, 15465, 11020, 3194, 267, 476, 272, 263, 274, 1070, 6032, 269, 8146, 268, 4572, 563, 293, 3072, 20143, 328, 267, 589, 6185, 1421, 15651, 267, 962, 1421, 4173, 337, 10458, 267, 595, 2529, 1421, 8575, 612, 267, 645, 269, 543, 744, 1068, 601, 267, 772, 1421, 476, 1220, 271, 269, 10871, 1436, 540, 2038, 4852, 12519, 3157, 538, 28882, 543, 13796, 9729, 673, 2127, 281, 513, 11275, 334, 775, 13921, 4919, 1353, 269, 5274, 11020, 29570, 267, 476, 1556, 263, 272, 1070, 6032, 269, 272, 268, 1556, 563, 16675, 8028, 267, 13391, 5166, 11420, 22995, 267, 853, 617, 330, 32499, 11219, 3073, 27255, 670, 267, 9931, 550, 514, 631, 267, 10162, 788, 560, 528, 742, 589, 267, 966, 340, 755, 623, 630, 1220, 279, 264, 8535, 538, 5634, 31591, 18215, 545, 3889, 281, 513, 2078, 609, 4744, 28585, 286, 11671, 516, 1636, 476, 866, 281, 278, 1556, 268, 278, 1428, 563, 295, 718, 600, 267, 590, 1421, 476, 1001, 279, 269, 2052, 513, 24754, 6304, 1489, 2542, 1646, 538, 4057, 3988, 27085, 10017, 540, 8535, 267, 533, 269, 27157, 6872, 274, 6321, 272, 279, 6507, 14983, 272, 563, 295, 531, 704, 333, 8121, 630, 2735, 275, 264, 32185, 540, 2497, 538, 3209, 2575, 269, 15350, 1299, 595, 10744, 476, 1321, 281, 14321, 268, 10204, 563, 295, 531, 704, 333, 8121, 267, 19258, 27451, 808, 290, 267, 22337, 1782, 654, 297, 630, 1960, 279, 264, 32185, 540, 7154, 267, 11733, 267, 543, 26048, 538, 14542, 23964, 281, 12186, 540, 2085, 543, 1995, 269, 8535, 32185, 476, 1428, 281, 28178, 268, 28307, 563, 295, 531, 704, 333, 8121, 267, 9410, 23404, 267, 32149, 570, 291, 630, 1220, 279, 264, 1323, 661, 14641, 1353, 540, 2101, 15902, 528, 8760, 538, 23964, 269, 8535, 32185, 476, 1839, 281, 8687, 268, 4489, 563, 295, 340, 836, 631, 311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 1062, 3069, 543, 1852, 1949, 267, 5373, 2390, 519, 2093, 4843, 538, 519, 2546, 1349, 3177, 269, 1284, 786, 2263, 875, 891, 2035, 666, 948, 721, 1174, 1950, 9259, 676, 6313, 519, 2081, 602, 1114, 2609, 2170, 1369, 513, 3677, 2898, 269, 1635, 4974, 1062, 3069, 543, 1852, 1949, 267, 649, 666, 2744, 4030, 883, 3388, 689, 6211, 3157, 547, 1514, 6384, 780, 2414, 2253, 267, 1577, 781, 5581, 930, 1883, 2474, 269, 589, 1062, 568, 513, 1305, 540, 954, 22366, 3334, 602, 960, 1927, 547, 3035, 513, 1455, 3804, 269, 901, 3804, 949, 581, 8763, 610, 17697, 267, 543, 621, 949, 11457, 936, 942, 607, 519, 1062, 3082, 338, 547, 4657, 6381, 269, 10738, 1022, 2016, 1062, 267, 972, 616, 1585, 1016, 17882, 338, 267, 799, 616, 2933, 7768, 540, 4130, 3334, 2324, 1927, 2509, 811, 1808, 3853, 780, 3080, 1271, 2460, 540, 1949, 3206, 568, 9301, 602, 2242, 1500, 547, 835, 851, 540, 513, 1062, 666, 723, 678, 21451, 2360, 2429, 519, 1964, 540, 519, 1062, 269, 1280, 1383, 267, 2015, 513, 2754, 602, 16976, 547, 20928, 922, 2504, 1184, 676, 3678, 908, 1978, 4247, 269, 2755, 713, 1689, 1522, 1291, 547, 2799, 4398, 538, 519, 2110, 2165, 267, 621, 1223, 849, 1267, 538, 2816, 9271, 585, 1480, 4600, 267, 799, 1223, 538, 2490, 1764, 2199, 4213, 543, 2950, 269, 4935, 267, 950, 7421, 513, 1062, 267, 621, 781, 1898, 547, 1491, 513, 11455, 2070, 602, 15109, 1312, 7525, 543, 19654, 4539, 780, 6944, 1503, 1949, 616, 7463, 2010, 540, 1949, 2966, 547, 2226, 6617, 543, 11126, 2773, 538, 519, 3068, 540, 5007, 18063, 269, 1358, 798, 713, 676, 5464, 11378, 630, 7945, 607, 2837, 267, 2604, 267, 610, 2095, 2557, 264, 543, 14577, 17016, 9935, 269, 24720, 17787, 1404, 513, 2565, 1909, 538, 1852, 1949, 267, 3850, 873, 547, 4431, 29858, 547, 4657, 2175, 269, 1703, 616, 1079, 1292, 2010, 540, 5955, 17787, 281, 2318, 543, 2942, 269, 15474, 5955, 7586, 5809, 2242, 1369, 513, 1062, 267, 1247, 2942, 5955, 4831, 9711, 1346, 2242, 547, 11177, 11466, 780, 4131, 781, 9414, 891, 2035, 609, 513, 6405, 1383, 281, 519, 27687, 520, 538, 707, 1753, 269, 1879, 596, 1305, 707, 5551, 4055, 2837, 267, 519, 27687, 520, 6411, 607, 513, 17120, 267, 7683, 9236, 519, 1699, 11255, 2837, 547, 519, 3077, 1871, 269, 1403, 519, 4890, 2837, 8813, 2630, 519, 1305, 1448, 267, 519, 27687, 520, 15920, 513, 5365, 547, 519, 8022, 1062, 547, 2490, 593, 543, 3636, 909, 519, 2230, 269, 4495, 519, 5551, 2837, 568, 6603, 267, 519, 27687, 520, 6786, 519, 8022, 1062, 547, 9505, 1055, 269, 901, 6806, 2000, 17274, 5955, 7271, 5849, 602, 519, 2949, 1062, 3788, 7123, 543, 17841, 547, 15088, 538, 2825, 2175, 780, 3086, 602, 649, 723, 3964, 513, 13654, 1620, 540, 1949, 543, 1852, 1949, 1577, 781, 1921, 891, 2093, 547, 519, 8574, 3177, 693, 519, 4098, 540, 713, 1770, 269, 2290, 1259, 547, 4612, 519, 1349, 568, 998, 519, 7828, 540, 1702, 7004, 2066, 3140, 5712, 1107, 4481, 267, 519, 7521, 1063, 1323, 857, 757, 543, 3525, 518, 985, 1634, 607, 519, 2372, 699, 331, 548, 964, 1323, 857, 839, 1696, 964, 7073, 525, 269, 4340, 547, 713, 5133, 267, 1114, 11051, 13934, 4540, 5773, 543, 8329, 547, 519, 4720, 540, 1007, 2409, 585, 6721, 543, 22412, 908, 1702, 780, 2171, 666, 12497, 1125, 713, 1184, 1210, 1062, 3069, 3741, 269, 5994, 602, 519, 1560, 540, 2139, 1702, 4564, 513, 6422, 1062, 267, 609, 1585, 1016, 17882, 338, 7222, 547, 3982, 10459, 610, 4610, 540, 1353, 269, 3683, 942, 267, 1007, 8906, 543, 10124, 10836, 267, 3056, 547, 10593, 1369, 1367, 1016, 17882, 338, 543, 5732, 24254, 6626, 14759, 2066, 519, 3003, 1062, 269, 1452, 2242, 666, 581, 9141, 676, 4835, 2188, 630, 324, 3052, 1421, 23484, 1500, 676, 3173, 264, 610, 5007, 3283, 630, 324, 3052, 1421, 6639, 7760, 6393, 1103, 713, 2796, 267, 519, 17837, 5018, 538, 519, 1349, 2099, 8069, 540, 1689, 945, 4161, 17888, 7326, 543, 3565, 547, 519, 5571, 1646, 540, 519, 1702, 1062, 269, 4256, 3646, 2285, 4473, 547, 2621, 971, 607, 19014, 267, 12909, 267, 543, 12326, 267, 1141, 2093, 616, 22121, 267, 23503, 267, 543, 15568, 269, 3414, 713, 27952, 1184, 267, 3209, 4485, 547, 10451, 543, 4687, 1344, 8451, 267, 6038, 18534, 12686, 519, 32725, 540, 519, 6626, 7214, 5251, 780, 3528, 7311, 1062, 3069, 10850, 547, 3140, 9840, 899, 519, 2372, 699, 331, 548, 964, 1323, 857, 839, 1696, 964, 7073, 525, 267, 649, 2744, 3407, 5813, 883, 519, 6127, 5817, 1702, 5137, 543, 18236, 269, 5047, 267, 891, 4030, 666, 1217, 4207, 5717, 827, 2257, 2069, 267, 1382, 16097, 267, 543, 5647, 3609, 269, 4197, 519, 6384, 540, 1950, 13261, 1949, 2636, 721, 547, 1732, 6330, 606, 5051, 10562, 1158, 267, 7175, 721, 547, 18783, 1761, 2591, 543, 28958, 3255, 585, 2208, 543, 3356, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8923, 4755, 721, 4444, 875, 596, 616, 547, 581, 938, 21904, 269, 2777, 282, 6089, 282, 4266, 282, 4670, 282, 1797, 268, 1122, 282, 2112, 325, 18288, 282, 960, 282, 2239, 282, 14430, 272, 282, 1686, 282, 7734, 274, 282, 3432, 282, 3798, 1243, 7734, 866, 282, 18579, 282, 10985, 10558, 725, 276, 282, 4647, 282, 3883, 17352, 5415, 282, 4393, 282, 1279, 282, 23425, 282, 15638, 274, 282, 3693, 282, 13669, 802, 276, 282, 544, 282, 3514, 585, 2078, 538, 3541, 2372, 699, 331, 548, 964, 1323, 857, 839, 1696, 964, 7073, 525, 12901, 833, 620, 338, 26306, 11783, 654, 773, 2981, 328, 1068, 1265, 4165, 833, 562, 778, 268, 656, 10105, 654, 1170, 523, 268, 1495, 3845, 4985, 570, 2140, 538, 960, 1160, 345, 612, 2981, 328, 1068, 286, 21969, 3832, 13019, 974, 675, 4161, 3451, 7638, 325, 15786, 1655, 574, 5443, 2927, 819, 1299, 267, 4087, 6462, 568, 339, 1775, 15590, 8210, 613, 16818, 529, 286, 2477, 543, 661, 540, 1857, 3961, 269, 11534, 7859, 543, 4647, 2843, 505, 3522, 16648, 3378, 13077, 4344, 18775, 21162, 3264, 476, 13077, 16648, 30324, 9924, 15800, 540, 1101, 3942, 269, 634, 1200, 332, 2940, 583, 545, 29929, 6941, 513, 5249, 543, 1044, 25465, 540, 2185, 12601, 19006, 267, 22365, 14551, 3357, 1831, 538, 519, 6119, 269, 634, 9793, 27016, 816, 8068, 8694, 538, 519, 1374, 1063, 1769, 2090, 1282, 741, 12853, 883, 4013, 2984, 269, 22365, 14551, 568, 2757, 543, 3003, 5481, 883, 8036, 5856, 543, 1303, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 3590, 7869, 1315, 6513, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 519, 2622, 540, 3163, 11470, 543, 9710, 2928, 998, 9085, 543, 17912, 692, 8893, 476, 274, 281, 667, 1516, 883, 519, 11511, 788, 344, 2622, 540, 670, 10422, 269, 11146, 8154, 692, 5970, 596, 2479, 4862, 540, 670, 10422, 269, 11146, 8154, 286, 1261, 729, 513, 4583, 5856, 945, 5030, 827, 513, 4627, 1296, 3516, 267, 543, 646, 781, 1634, 585, 2870, 930, 540, 519, 1034, 669, 3739, 2984, 538, 2257, 5708, 543, 16897, 11964, 256, 3571, 1568, 3136, 547, 8300, 4589, 267, 5496, 32392, 267, 543, 32349, 1256, 2221, 269, 2913, 781, 1451, 811, 827, 1864, 543, 1010, 2189, 2511, 602, 8952, 3988, 909, 693, 3781, 2439, 8005, 729, 670, 10422, 269, 11146, 8154, 2496, 1692, 731, 29928, 11146, 8154, 267, 1732, 1634, 607, 670, 10422, 269, 11146, 8154, 267, 729, 4535, 538, 29049, 6816, 538, 476, 6245, 271, 269, 4014, 646, 5293, 2476, 950, 646, 729, 1175, 476, 5379, 1296, 2025, 267, 646, 2451, 3297, 19421, 540, 2110, 2984, 543, 1896, 9089, 602, 1869, 25407, 9458, 5001, 269, 2368, 540, 1010, 1655, 8153, 8941, 616, 834, 763, 11910, 540, 595, 628, 592, 16852, 2437, 834, 4263, 519, 15142, 540, 8496, 1145, 2437, 543, 834, 763, 1744, 20760, 3683, 769, 985, 17625, 3010, 27094, 8154, 1014, 22684, 692, 295, 10422, 269, 11146, 8154, 1185, 513, 1713, 1764, 593, 2442, 2528, 676, 6427, 532, 1018, 649, 1631, 1289, 519, 834, 290, 628, 592, 16852, 19088, 657, 1701, 901, 13299, 2882, 1585, 17184, 9988, 543, 9490, 7068, 602, 9468, 824, 7516, 3564, 938, 1620, 269, 1452, 1395, 560, 9317, 7919, 1419, 2014, 1202, 534, 640, 1851, 3425, 945, 2097, 2066, 873, 1813, 547, 741, 4652, 987, 558, 762, 2470, 269, 3509, 4207, 5830, 543, 7260, 19971, 2721, 6667, 689, 891, 32049, 2035, 780, 3849, 2194, 532, 11146, 8154, 585, 7073, 9012, 692, 2026, 5018, 4505, 267, 1082, 5159, 1265, 670, 10422, 269, 11146, 8154, 781, 13144, 22023, 626, 1043, 269, 8606, 7825, 5474, 3142, 1010, 27337, 4328, 22649, 547, 1272, 267, 1247, 3014, 9367, 1711, 15138, 2833, 1759, 593, 1010, 12591, 269, 2290, 1383, 568, 519, 13371, 1433, 3126, 1572, 3345, 476, 2412, 3370, 676, 8187, 10445, 269, 898, 10905, 2609, 540, 6917, 18691, 609, 11146, 8154, 1014, 4798, 971, 607, 3504, 12738, 267, 6456, 10600, 267, 543, 16750, 2621, 2921, 1747, 538, 513, 1507, 4884, 780, 5194, 4241, 9542, 568, 519, 476, 1220, 280, 4670, 11331, 834, 763, 14480, 16049, 9710, 2928, 2437, 9859, 676, 2274, 662, 8845, 269, 9521, 519, 3312, 1650, 2854, 676, 11146, 8154, 267, 713, 4528, 2934, 11051, 1065, 30545, 5107, 789, 5129, 538, 3105, 14624, 282, 585, 3236, 267, 25760, 14351, 6202, 4249, 1312, 3220, 269, 8361, 1488, 2466, 720, 543, 12070, 10767, 1733, 622, 2917, 269, 6270, 23538, 1397, 875, 3860, 8186, 4612, 11146, 8154, 781, 960, 8335, 2943, 2226, 922, 9759, 780, 27094, 8154, 11657, 776, 281, 589, 18771, 8862, 2255, 692, 2252, 596, 1616, 547, 917, 811, 827, 670, 10422, 269, 11146, 8154, 855, 1810, 1405, 1745, 899, 2542, 1010, 1950, 6386, 1318, 2476, 267, 972, 781, 1776, 4781, 1107, 32026, 256, 7671, 670, 269, 8381, 1189, 781, 834, 27094, 8154, 281, 21824, 540, 519, 32148, 257, 2488, 4030, 883, 519, 2278, 781, 1272, 543, 9371, 269, 6736, 1373, 28110, 2509, 2937, 13588, 267, 713, 13181, 4062, 666, 4196, 607, 513, 3407, 4199, 585, 4896, 5461, 538, 1565, 827, 835, 540, 1686, 781, 6574, 16897, 4589, 269, 5457, 267, 1498, 267, 602, 1978, 2694, 1522, 2154, 2417, 7778, 4470, 593, 707, 23440, 609, 519, 3584, 5941, 780, 1103, 10390, 692, 3086, 602, 596, 4312, 4121, 827, 670, 10422, 269, 11146, 8154, 543, 1010, 3310, 593, 3332, 543, 2923, 267, 1946, 711, 2119, 1019, 6137, 707, 19462, 883, 1010, 552, 24809, 7122, 286, 10670, 609, 10156, 2984, 610, 4585, 9413, 6273, 676, 1010, 1568, 269, 1411, 2760, 917, 32503, 1522, 3605, 513, 16012, 2648, 585, 796, 3553, 339, 1782, 8941, 602, 4734, 596, 15819, 4641, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 32637, 267, 5412, 476, 4029, 267, 476, 1220, 280, 454, 9617, 538, 2013, 596, 14406, 621, 519, 1101, 942, 267, 519, 5204, 325, 344, 8756, 568, 1305, 547, 2011, 2274, 662, 8845, 781, 634, 14480, 16049, 9710, 2928, 693, 476, 272, 281, 876, 10681, 593, 5130, 476, 1626, 628, 269, 634, 4670, 6801, 25760, 14351, 6202, 630, 310, 559, 10767, 1733, 622, 2917, 538, 519, 476, 3192, 271, 4528, 267, 3220, 269, 8361, 1488, 2466, 720, 1934, 264, 543, 11518, 9445, 1290, 2125, 607, 12070, 10767, 1733, 622, 2917, 2483, 263, 12552, 547, 8940, 21993, 14525, 28291, 2593, 994, 26607, 11888, 267, 5412, 476, 1789, 267, 476, 1220, 280, 454, 29445, 670, 269, 8381, 1189, 781, 11146, 8154, 281, 21824, 540, 519, 32148, 267, 799, 594, 1590, 16153, 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 ]
[ 12959, 267, 543, 7440, 267, 855, 621, 11151, 4598, 547, 1007, 3536, 543, 7512, 4584, 344, 4189, 269, 8347, 8026, 519, 6498, 540, 5539, 912, 29261, 6430, 1018, 267, 950, 543, 1141, 547, 3548, 269, 634, 1126, 16976, 875, 1454, 547, 3548, 267, 2436, 610, 711, 547, 3548, 267, 543, 875, 547, 3548, 563, 30696, 593, 5356, 513, 2039, 540, 2635, 3536, 585, 707, 1920, 269, 13966, 2515, 513, 1007, 1426, 267, 2709, 835, 547, 1079, 3681, 596, 917, 707, 1126, 786, 899, 269, 2986, 519, 3681, 596, 5965, 267, 707, 1126, 949, 1616, 1079, 1085, 334, 3591, 540, 18437, 543, 835, 4062, 540, 22282, 267, 543, 602, 779, 5386, 269, 11565, 602, 707, 1126, 6487, 875, 1454, 1426, 789, 991, 563, 273, 269, 29130, 1007, 3536, 609, 3536, 707, 1126, 2907, 14560, 454, 2521, 7674, 1007, 3536, 7258, 3536, 707, 1126, 2907, 15055, 2443, 713, 666, 5000, 873, 547, 2119, 14542, 3536, 269, 1280, 1383, 267, 952, 707, 1126, 14560, 24113, 7423, 543, 596, 1616, 547, 6338, 873, 547, 13767, 2044, 267, 2119, 7674, 13767, 2044, 609, 24113, 7423, 593, 1283, 563, 274, 269, 2142, 513, 1909, 2203, 454, 7312, 1126, 786, 581, 811, 8348, 547, 2119, 1007, 3536, 952, 789, 1294, 596, 11981, 873, 1932, 269, 2659, 1378, 6197, 5079, 543, 6208, 666, 581, 513, 3532, 3450, 1907, 269, 5457, 602, 1453, 616, 899, 29008, 525, 2443, 789, 786, 4584, 909, 19326, 543, 6208, 689, 1346, 789, 1294, 1472, 873, 563, 275, 269, 29130, 1007, 3536, 538, 1507, 5666, 454, 22879, 11566, 707, 1126, 609, 513, 1804, 6712, 540, 519, 1007, 1426, 269, 5502, 267, 4196, 513, 1507, 2179, 540, 519, 1007, 1426, 7258, 519, 3536, 789, 899, 269, 1403, 789, 899, 519, 1007, 1426, 267, 789, 786, 2307, 585, 811, 563, 276, 269, 5192, 3860, 454, 2521, 21176, 9306, 3536, 547, 4497, 707, 1126, 538, 1114, 3536, 563, 2080, 616, 513, 1906, 1806, 540, 875, 547, 1118, 1426, 1187, 912, 268, 2422, 23739, 2759, 1562, 547, 2285, 3536, 513, 1187, 3337, 267, 971, 607, 32409, 267, 5613, 543, 5388, 454, 268, 5269, 25064, 8188, 267, 2831, 267, 610, 3197, 609, 1426, 454, 268, 2422, 1187, 10824, 543, 27022, 630, 577, 5366, 7990, 995, 3283, 610, 930, 609, 741, 19463, 3197, 593, 621, 994, 268, 31160, 513, 3099, 540, 7990, 995, 3536, 454, 277, 269, 8073, 513, 16990, 4189, 1604, 454, 28444, 675, 707, 1126, 568, 6899, 543, 7413, 19240, 1282, 7594, 543, 15165, 942, 269, 5901, 7641, 338, 267, 1591, 11436, 267, 543, 9162, 2476, 689, 6980, 269, 5502, 267, 2911, 609, 707, 1126, 538, 513, 17159, 6073, 543, 2057, 2046, 1005, 873, 547, 3548, 269, 1403, 707, 1126, 1281, 711, 899, 1945, 267, 5706, 4758, 513, 2942, 5114, 543, 6085, 532, 952, 3536, 941, 711, 13881, 269, 1879, 972, 568, 1447, 2604, 547, 3548, 14542, 3536, 267, 789, 949, 1831, 811, 1930, 547, 3843, 873, 269, 3194, 814, 3254, 602, 2046, 1005, 513, 1126, 547, 3548, 666, 2014, 1426, 21084, 19326, 971, 607, 1507, 14031, 543, 1426, 535, 1380, 1465, 563, 278, 269, 8347, 267, 2119, 1586, 543, 1810, 1406, 2285, 909, 454, 9617, 1317, 707, 1126, 15189, 547, 3548, 1945, 519, 1101, 942, 621, 568, 6035, 3085, 1406, 1611, 789, 786, 20549, 621, 519, 1985, 269, 898, 666, 1491, 2789, 8942, 1354, 707, 1126, 16976, 2436, 610, 711, 789, 899, 513, 1007, 1426, 269, 898, 779, 1271, 711, 547, 2285, 909, 543, 3136, 5356, 873, 1585, 14312, 3681, 693, 7594, 543, 15165, 942, 269, 1411, 666, 849, 2119, 5986, 3536, 8335, 3079, 540, 7674, 873, 519, 1482, 1142, 942, 2443, 9639, 543, 18094, 786, 2628, 1055, 563, 12179, 2251, 1007, 666, 581, 17559, 267, 1519, 14542, 1426, 269, 20504, 532, 1114, 7657, 2293, 543, 18282, 949, 581, 513, 3500, 543, 16795, 1184, 269, 9861, 3461, 609, 1453, 543, 3246, 519, 1489, 543, 16882, 789, 991, 568, 1898, 269, 17292, 344, 4189, 666, 3006, 581, 24858, 855, 519, 1434, 3377, 568, 267, 713, 786, 2693, 2087, 607, 1453, 2085, 269, 4635, 519, 4388, 5018, 666, 5000, 707, 1126, 547, 1831, 811, 1930, 547, 3843, 1007, 3536, 267, 1818, 803, 5306, 1307, 1447, 540, 513, 6560, 269, 670, 836, 538, 972, 2336, 301, 528, 5142, 1696, 620, 1421, 476, 1001, 277, 267, 968, 10000, 11845, 593, 4189, 4713, 281, 1699, 5380, 593, 2057, 656, 270, 6135, 2774, 633, 1426, 6981, 4524, 538, 1453, 30819, 1926, 3034, 300, 14525, 1696, 620, 1421, 476, 1708, 271, 267, 968, 15239, 268, 22529, 633, 8023, 2853, 1199, 5573, 519, 2078, 1063, 14774, 543, 1126, 1073, 525, 8328, 4189, 7180, 3034, 10666, 23397, 5055, 13198, 328, 267, 28251, 267, 631, 9391, 322, 454, 5591, 767, 5055, 13198, 328, 568, 513, 10805, 2732, 23790, 538, 14411, 543, 7460, 609, 936, 4557, 1296, 540, 1995, 2324, 609, 3885, 609, 1762, 1453, 269, 769, 1840, 547, 3246, 29492, 547, 1554, 322, 4100, 267, 1352, 20205, 6484, 2069, 538, 519, 2146, 543, 5932, 1072, 543, 6484, 1543, 585, 3237, 267, 15637, 267, 3906, 267, 543, 12326, 269, 23397, 5055, 21593, 5986, 538, 1200, 22302, 942, 543, 568, 2141, 593, 519, 6968, 585, 8949, 2199, 22655, 269, 4045, 609, 23397, 5055, 3842, 1200, 3896, 610, 1246, 1200, 593, 17749, 7711, 331, 633, 2023, 712, 880, 6113, 269, 0, 17471, 26439, 1143, 5358, 1923, 12005, 717, 29262, 268, 10219, 5038, 454, 288, 26747, 18962, 568, 4092, 5111, 476, 736, 5998, 21369, 715, 20911, 540, 594, 686, 558, 1774, 329, 9874, 267, 3254, 538, 713, 8602, 2096, 13011, 4786, 676, 519, 3567, 11076, 15050, 269, 2201, 476, 4029, 5239, 476, 4572, 275, 606, 20349, 3812, 513, 533, 636, 823, 986, 1111, 602, 5555, 6603, 3567, 563, 290, 712, 17940, 540, 3567, 11076, 15050, 563, 1607, 3239, 568, 1500, 2139, 896, 519, 11300, 12780, 15760, 9539, 290, 476, 275, 269, 271, 12689, 2474, 563, 294, 718, 7685, 281, 4427, 3405, 710, 26439, 3996, 454, 21292, 281, 26747, 18962, 1923, 4786, 1923, 8602, 2096, 4479, 454, 8138, 3405, 710, 26439, 334, 715, 20911, 540, 594, 686, 558, 1774, 329, 9874, 0, 15900, 538, 476, 5038, 277, 595, 9950, 269, 513, 1804, 20850, 3196, 15354, 693, 28641, 543, 13026, 621, 269, 3245, 519, 3490, 693, 28641, 267, 519, 18031, 656, 1149, 9709, 547, 11028, 20960, 519, 2898, 540, 5527, 269, 634, 12356, 540, 5527, 2366, 513, 15518, 566, 547, 8496, 2088, 547, 7173, 841, 593, 772, 628, 2006, 547, 11177, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 543, 4300, 4705, 547, 1864, 547, 1491, 936, 519, 4971, 540, 5527, 269, 1261, 23616, 4327, 930, 2474, 799, 941, 7608, 676, 772, 628, 2006, 269, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 729, 1500, 519, 17135, 540, 2136, 5527, 267, 543, 646, 729, 849, 547, 581, 519, 18678, 19524, 540, 519, 4108, 4229, 538, 5527, 269, 19869, 31608, 536, 15223, 262, 611, 729, 547, 3180, 513, 29884, 2990, 896, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 4586, 262, 8649, 337, 536, 589, 272, 1412, 288, 553, 3576, 936, 519, 4971, 538, 5527, 543, 22755, 2476, 519, 18031, 656, 1149, 689, 519, 3037, 540, 5527, 269, 2991, 519, 11028, 26810, 540, 5527, 1776, 6433, 2919, 269, 1306, 896, 19869, 31608, 536, 15223, 262, 611, 519, 19614, 540, 519, 11662, 1185, 24111, 14320, 267, 772, 628, 2006, 1500, 19869, 31608, 536, 15223, 262, 611, 3180, 4830, 5279, 540, 519, 28521, 4972, 1247, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 729, 547, 581, 519, 17135, 543, 18678, 19524, 540, 519, 4108, 4229, 269, 1412, 8649, 337, 536, 589, 272, 1412, 288, 553, 1486, 6479, 1996, 713, 11460, 269, 1261, 1767, 602, 896, 971, 606, 11460, 646, 1131, 581, 8066, 519, 10800, 676, 519, 28712, 1247, 930, 835, 3116, 1131, 581, 5144, 532, 621, 269, 772, 628, 2006, 5551, 602, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 1058, 10018, 602, 519, 19614, 1131, 711, 2887, 2630, 519, 23616, 4327, 1377, 1412, 8649, 337, 536, 589, 272, 1412, 288, 553, 729, 711, 5423, 547, 2285, 1256, 971, 10018, 269, 634, 15539, 1223, 711, 581, 17251, 543, 6038, 772, 628, 2006, 5293, 9753, 585, 519, 18254, 540, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 4586, 262, 8649, 337, 536, 1325, 1412, 288, 553, 1412, 338, 11685, 547, 772, 628, 2006, 454, 5475, 18254, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 8120, 547, 8496, 2088, 543, 27490, 32567, 519, 3350, 585, 989, 2787, 1996, 772, 628, 2006, 538, 8496, 2088, 269, 1412, 8649, 337, 536, 1325, 1412, 288, 553, 11884, 18656, 3022, 538, 519, 9880, 540, 772, 628, 2006, 267, 543, 4503, 1100, 4316, 538, 989, 23550, 1996, 772, 628, 2006, 269, 4495, 950, 772, 628, 2006, 3576, 1864, 547, 4305, 585, 18656, 3101, 538, 3490, 2911, 267, 1412, 8649, 337, 536, 589, 272, 1412, 288, 553, 1767, 930, 796, 11779, 1913, 1996, 10500, 534, 519, 4651, 540, 772, 628, 2006, 269, 3057, 9774, 3576, 1843, 542, 547, 891, 29405, 532, 24616, 267, 855, 772, 628, 2006, 8359, 547, 2611, 9602, 269, 4495, 950, 772, 628, 2006, 729, 5466, 519, 30798, 538, 519, 9923, 4302, 543, 1175, 4328, 1010, 2990, 267, 2549, 337, 536, 589, 272, 1412, 288, 553, 17591, 539, 1864, 267, 543, 7550, 606, 29405, 532, 18879, 269, 1412, 8649, 337, 536, 589, 272, 2073, 288, 553, 1185, 513, 2178, 5428, 538, 5527, 543, 713, 5428, 2813, 513, 1434, 4308, 540, 8373, 585, 772, 628, 2006, 269, 1879, 519, 678, 3999, 619, 689, 5527, 3357, 547, 8496, 2088, 789, 10150, 519, 1489, 540, 1412, 8649, 337, 536, 589, 272, 1412, 288, 553, 1547, 1879, 519, 989, 2787, 1996, 772, 628, 2006, 8057, 538, 11610, 267, 1412, 8649, 337, 536, 589, 272, 1412, 288, 553, 2451, 8496, 2088, 585, 21157, 269, 2755, 8977, 532, 689, 8496, 2088, 267, 1412, 6635, 584, 536, 1325, 1412, 288, 553, 12038, 733, 3319, 28204, 827, 772, 628, 2006, 267, 543, 1767, 602, 646, 1131, 6318, 1256, 519, 1352, 17731, 1091, 540, 519, 9390, 1996, 772, 628, 2006, 563, 312, 523, 328, 586, 28262, 575, 7238, 837, 0, 7093, 4211, 565, 3518, 1014, 12653, 1023, 543, 25245, 32371, 553, 21909, 31557, 5450, 519, 25069, 14369, 267, 543, 519, 4934, 2492, 12984, 3502, 30474, 454, 12441, 519, 31557, 3643, 2776, 4211, 565, 3518, 1014, 6792, 286, 634, 26841, 540, 3043, 1004, 593, 932, 545, 1156, 898, 5633, 9597, 1023, 538, 519, 13527, 540, 519, 2782, 19144, 4440, 2099, 31557, 910, 519, 2101, 3864, 4044, 2209, 1472, 519, 942, 713, 11454, 729, 3710, 269, 901, 5267, 519, 2245, 540, 519, 968, 19669, 700, 3581, 892, 945, 1185, 10272, 6792, 1354, 519, 5053, 941, 519, 31557, 563, 301, 16017, 32371, 553, 9181, 532, 30576, 1137, 602, 2904, 5620, 8092, 539, 538, 6792, 454, 295, 753, 661, 321, 9934, 3370, 519, 1433, 2048, 291, 773, 1234, 1047, 538, 5884, 966, 1120, 836, 523, 15241, 8633, 269, 12603, 16402, 335, 7564, 518, 575, 1168, 4883, 523, 3954, 661, 6113, 4252, 269, 717, 525, 577, 747, 974, 3541, 3026, 340, 2763, 527, 20312, 8730, 538, 476, 9965, 280, 269, 769, 1010, 1257, 267, 661, 321, 9934, 14437, 827, 875, 7720, 551, 14162, 6373, 4083, 20888, 670, 1716, 17505, 23634, 15530, 607, 2372, 28856, 531, 1723, 520, 331, 269, 2871, 32244, 337, 14243, 333, 2871, 32244, 24792, 338, 323, 6759, 1777, 597, 543, 645, 329, 23152, 333, 18897, 7322, 26856, 12261, 661, 321, 9934, 779, 1433, 883, 19360, 545, 269, 1358, 5941, 519, 661, 10455, 321, 1375, 807, 521, 15676, 538, 519, 3134, 559, 4084, 269, 901, 521, 15676, 19528, 1079, 2009, 31557, 945, 949, 723, 30774, 547, 519, 962, 1075, 27979, 3148, 540, 6792, 910, 717, 644, 548, 604, 717, 644, 331, 13774, 5459, 630, 322, 269, 9083, 276, 5084, 264, 543, 645, 329, 23152, 333, 6601, 328, 32244, 341, 6403, 6362, 752, 1952, 328, 630, 322, 269, 280, 4792, 1916, 10817, 32244, 24792, 338, 323, 6759, 1777, 597, 543, 18897, 7322, 26856, 3409, 602, 519, 661, 10455, 2421, 1375, 10937, 521, 15676, 6257, 875, 645, 329, 23152, 333, 6601, 328, 32244, 341, 6403, 6362, 752, 1952, 328, 630, 289, 329, 23152, 333, 519, 22299, 540, 519, 16340, 19213, 619, 264, 30774, 1472, 8581, 543, 15354, 538, 6792, 563, 19352, 532, 540, 25245, 5443, 538, 513, 6928, 676, 30546, 654, 1120, 14657, 269, 630, 14276, 23792, 994, 2467, 616, 849, 1614, 5389, 540, 519, 25245, 32371, 553, 602, 2446, 602, 538, 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 ]
[ 258, 3698, 3950, 318, 16651, 263, 16651, 2187, 28768, 258, 10818, 547, 1847, 6345, 454, 3698, 1847, 318, 16651, 263, 16651, 267, 1847, 2187, 453, 343, 318, 16651, 11971, 318, 16651, 815, 6345, 454, 14851, 1847, 2652, 1412, 4041, 10499, 12466, 453, 453, 344, 318, 16651, 20699, 476, 272, 454, 453, 19197, 1847, 2652, 1412, 305, 20846, 12466, 453, 453, 344, 318, 16651, 6834, 476, 272, 454, 453, 19197, 1847, 2652, 1412, 16810, 12466, 453, 453, 343, 318, 16651, 20699, 476, 272, 454, 453, 19197, 1847, 2652, 1412, 291, 32052, 12466, 453, 453, 343, 318, 16651, 6834, 476, 272, 454, 16596, 1535, 318, 16651, 11971, 318, 16651, 692, 258, 10818, 547, 1847, 20599, 454, 3698, 1847, 318, 3000, 3122, 263, 3000, 3122, 267, 1871, 267, 7575, 2187, 14851, 1871, 2652, 476, 272, 912, 453, 453, 343, 318, 3000, 3122, 11971, 318, 3000, 3122, 815, 20599, 454, 453, 453, 332, 913, 815, 4351, 26716, 4069, 9852, 7174, 994, 453, 14851, 1847, 2652, 1412, 4041, 10499, 12466, 4848, 453, 344, 318, 3000, 3122, 20699, 476, 272, 454, 453, 453, 19197, 1847, 2652, 1412, 305, 20846, 12466, 4848, 453, 344, 318, 3000, 3122, 6834, 476, 272, 454, 453, 453, 19197, 1847, 2652, 1412, 16810, 12466, 4848, 453, 343, 318, 3000, 3122, 20699, 476, 272, 454, 453, 453, 19197, 1847, 2652, 1412, 291, 32052, 12466, 4848, 453, 343, 318, 3000, 3122, 6834, 476, 272, 454, 453, 16596, 1535, 318, 3000, 3122, 11971, 318, 3000, 3122, 454, 28432, 912, 453, 453, 10139, 692, 258, 10818, 547, 1832, 3950, 540, 2139, 7575, 454, 3698, 1205, 8548, 7174, 263, 16651, 2187, 453, 332, 7174, 815, 18358, 4041, 10499, 3299, 1412, 305, 20846, 3299, 1412, 16810, 3299, 1412, 291, 32052, 23300, 14851, 6345, 314, 272, 316, 2652, 476, 271, 912, 453, 453, 332, 7174, 31927, 3488, 4041, 10499, 5073, 14851, 6345, 314, 272, 316, 2652, 630, 344, 268, 272, 2187, 453, 453, 332, 7174, 31927, 3488, 305, 20846, 5073, 14851, 6345, 314, 271, 316, 2652, 476, 271, 912, 453, 453, 332, 7174, 31927, 3488, 16810, 5073, 14851, 6345, 314, 271, 316, 2652, 630, 343, 268, 272, 2187, 453, 453, 332, 7174, 31927, 3488, 291, 32052, 5073, 16596, 7575, 692, 3698, 1205, 8548, 7174, 318, 3000, 3122, 263, 3000, 3122, 267, 1871, 2187, 14851, 1871, 2652, 476, 272, 912, 453, 453, 332, 7174, 815, 18358, 4041, 10499, 3299, 1412, 305, 20846, 3299, 1412, 16810, 3299, 1412, 291, 32052, 23300, 453, 14851, 20599, 314, 272, 316, 2652, 476, 271, 912, 4848, 453, 332, 7174, 31927, 3488, 4041, 10499, 5073, 453, 14851, 20599, 314, 272, 316, 2652, 630, 344, 268, 272, 2187, 4848, 453, 332, 7174, 31927, 3488, 305, 20846, 5073, 453, 14851, 20599, 314, 271, 316, 2652, 476, 271, 912, 4848, 453, 332, 7174, 31927, 3488, 16810, 5073, 453, 14851, 20599, 314, 271, 316, 2652, 630, 343, 268, 272, 2187, 4848, 453, 332, 7174, 31927, 3488, 291, 32052, 5073, 453, 16596, 7575, 454, 28432, 912, 453, 453, 10139, 692, 258, 10818, 547, 1205, 4358, 7158, 540, 6345, 267, 20599, 267, 543, 7450, 454, 3698, 1205, 318, 21752, 10031, 453, 16651, 815, 4351, 26716, 4069, 29033, 994, 453, 3000, 3122, 815, 4351, 26716, 4069, 29033, 994, 453, 21830, 815, 4351, 26716, 4069, 29033, 994, 14851, 7450, 2652, 6345, 610, 7450, 2652, 20599, 610, 20599, 2652, 6345, 912, 453, 16596, 1205, 318, 21752, 4590, 16596, 6345, 267, 20599, 267, 7450, 692, 3698, 1292, 10031, 453, 5443, 340, 4590, 453, 1742, 4590, 453, 16651, 267, 20599, 267, 7450, 815, 1205, 318, 21752, 4590, 453, 7407, 815, 476, 271, 454, 14851, 20599, 25292, 2652, 1412, 344, 12466, 453, 453, 7407, 815, 476, 272, 454, 453, 6112, 6936, 912, 453, 13537, 4590, 453, 13537, 3488, 2791, 616, 4867, 538, 2990, 15079, 8339, 8971, 263, 16651, 4297, 476, 1948, 15640, 538, 609, 6345, 2990, 454, 453, 453, 332, 7174, 815, 1205, 8548, 7174, 263, 16651, 994, 453, 453, 332, 7174, 318, 3000, 3122, 815, 1205, 8548, 7174, 318, 3000, 3122, 263, 3000, 3122, 267, 1871, 994, 453, 453, 9526, 8548, 777, 263, 16651, 267, 20599, 994, 453, 13537, 3488, 2791, 666, 1847, 15079, 8339, 8971, 9852, 7174, 4297, 476, 1948, 15640, 538, 609, 2139, 7575, 454, 453, 13537, 3488, 11767, 19532, 3951, 547, 16718, 269, 5073, 453, 453, 332, 913, 815, 3403, 3488, 285, 476, 30386, 453, 453, 332, 913, 815, 1847, 269, 21639, 4590, 453, 14851, 1847, 2652, 1412, 12702, 3951, 12466, 4848, 453, 19874, 454, 453, 14851, 1847, 538, 7575, 912, 4848, 453, 258, 10177, 1188, 318, 16651, 263, 16651, 994, 4848, 453, 16651, 815, 1847, 318, 16651, 263, 16651, 267, 1847, 994, 4848, 453, 3000, 3122, 815, 1847, 318, 3000, 3122, 263, 3000, 3122, 267, 1871, 267, 7575, 318, 3000, 3122, 994, 453, 453, 19197, 1847, 711, 538, 7575, 912, 4848, 13537, 3488, 31161, 711, 11807, 269, 5073, 4848, 453, 11666, 826, 454, 453, 14851, 6345, 2652, 7450, 912, 4848, 13537, 3488, 2791, 23012, 269, 1411, 12736, 256, 5073, 4848, 453, 19874, 454, 453, 453, 19197, 6345, 2652, 20599, 912, 4848, 13537, 3488, 2791, 941, 13881, 676, 519, 20599, 269, 2791, 700, 846, 269, 5073, 4848, 453, 19874, 454, 453, 28432, 912, 4848, 453, 11666, 826, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5228, 20313, 1104, 6581, 826, 7531, 5035, 23030, 21698, 912, 22592, 6449, 8181, 9191, 1345, 267, 1871, 2187, 453, 19677, 27841, 815, 1871, 454, 453, 19677, 16000, 17045, 815, 7183, 454, 453, 19677, 16192, 17045, 815, 7183, 692, 22592, 7696, 318, 3847, 4311, 267, 1871, 2187, 453, 14851, 1582, 16000, 17045, 2652, 7183, 912, 4848, 19677, 16000, 17045, 815, 23030, 21698, 263, 7407, 994, 453, 28432, 912, 4848, 453, 2908, 17045, 815, 23030, 21698, 263, 7407, 994, 4848, 453, 2908, 17045, 16000, 17045, 815, 1582, 16000, 17045, 454, 4848, 19677, 16000, 17045, 815, 1007, 17045, 692, 22592, 7696, 318, 2431, 4311, 267, 1871, 2187, 453, 14851, 1582, 16192, 17045, 2652, 7183, 912, 4848, 19677, 16192, 17045, 815, 23030, 21698, 263, 7407, 994, 453, 28432, 912, 4848, 453, 2908, 17045, 815, 23030, 21698, 263, 7407, 994, 4848, 453, 2908, 17045, 16192, 17045, 815, 1582, 16192, 17045, 454, 4848, 19677, 16192, 17045, 815, 1007, 17045, 692, 22592, 536, 12028, 4311, 2187, 453, 453, 28255, 815, 6581, 826, 4590, 453, 453, 28255, 269, 1584, 4311, 2020, 453, 453, 6112, 711, 20313, 269, 24105, 10031, 4848, 453, 9690, 17045, 815, 20313, 10947, 4590, 4848, 13537, 263, 9690, 17045, 27841, 2020, 4848, 14851, 1699, 17045, 16000, 17045, 912, 15235, 453, 28255, 269, 1584, 263, 9690, 17045, 16000, 17045, 2020, 4848, 14851, 1699, 17045, 16192, 17045, 912, 15235, 453, 28255, 269, 1584, 263, 9690, 17045, 16192, 17045, 9239, 3698, 23030, 15507, 21698, 4311, 2187, 28768, 22592, 6449, 8181, 9191, 1345, 267, 1871, 2187, 453, 19677, 27841, 815, 1871, 454, 453, 19677, 16000, 17045, 815, 7183, 454, 453, 19677, 16192, 17045, 815, 7183, 692, 22592, 7696, 17045, 4311, 267, 1871, 2187, 453, 14851, 263, 7407, 10922, 1582, 27841, 543, 1582, 16000, 17045, 2187, 4848, 19677, 16000, 17045, 27044, 17045, 263, 7407, 994, 453, 453, 19197, 263, 7407, 10922, 1582, 27841, 2187, 4848, 19677, 16000, 17045, 815, 23030, 15507, 21698, 263, 7407, 994, 453, 453, 19197, 263, 7407, 3436, 1582, 27841, 543, 1582, 16192, 17045, 2187, 4848, 19677, 16192, 17045, 27044, 17045, 263, 7407, 994, 453, 28432, 912, 4848, 19677, 16192, 17045, 815, 23030, 15507, 21698, 263, 7407, 2020, 22592, 1265, 17045, 4311, 267, 1871, 2187, 453, 14851, 263, 7407, 2999, 1582, 27841, 543, 1582, 16000, 17045, 2187, 4848, 19677, 16000, 17045, 26098, 17045, 263, 7407, 994, 453, 453, 19197, 263, 7407, 3436, 1582, 27841, 543, 1582, 16192, 17045, 2187, 4848, 19677, 16192, 17045, 26098, 17045, 263, 7407, 2020, 453, 16596, 1871, 2652, 1582, 27841, 692, 22592, 4894, 17045, 4311, 267, 1871, 267, 2385, 2187, 453, 14851, 630, 7407, 2999, 1582, 27841, 543, 1582, 16000, 17045, 2187, 4848, 16596, 1582, 16000, 17045, 31927, 17045, 263, 7407, 267, 1582, 994, 453, 453, 19197, 630, 7407, 2999, 1582, 27841, 2187, 4848, 16596, 8771, 454, 453, 453, 19197, 630, 7407, 3436, 1582, 27841, 543, 1582, 16192, 17045, 2187, 4848, 16596, 1582, 16192, 17045, 31927, 17045, 263, 7407, 267, 1582, 994, 453, 453, 19197, 630, 7407, 3436, 1582, 27841, 2187, 4848, 16596, 8771, 454, 453, 28432, 912, 4848, 14851, 630, 1345, 16000, 17045, 568, 7183, 543, 1582, 16192, 17045, 568, 7183, 543, 1582, 2652, 2385, 16000, 17045, 2187, 15235, 453, 8001, 16000, 17045, 815, 7183, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 453, 19197, 630, 1345, 16000, 17045, 568, 7183, 543, 1582, 16192, 17045, 568, 7183, 543, 1582, 2652, 2385, 16192, 17045, 2187, 15235, 453, 8001, 16192, 17045, 815, 7183, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 453, 19197, 630, 1345, 16000, 17045, 543, 1582, 16192, 17045, 568, 7183, 543, 1582, 2652, 2385, 16000, 17045, 2187, 15235, 453, 8001, 16000, 17045, 815, 1582, 16000, 17045, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 453, 19197, 630, 1345, 16000, 17045, 543, 1582, 16192, 17045, 568, 7183, 543, 1582, 2652, 2385, 16192, 17045, 2187, 15235, 453, 8001, 16192, 17045, 815, 1582, 16000, 17045, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 453, 19197, 630, 1345, 16192, 17045, 543, 1582, 16000, 17045, 568, 7183, 543, 1582, 2652, 2385, 16000, 17045, 2187, 15235, 453, 8001, 16000, 17045, 815, 1582, 16192, 17045, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 453, 19197, 630, 1345, 16192, 17045, 543, 1582, 16000, 17045, 568, 7183, 543, 1582, 2652, 2385, 16192, 17045, 2187, 15235, 453, 8001, 16192, 17045, 815, 1582, 16192, 17045, 454, 15235, 19677, 269, 27234, 17045, 4590, 4848, 28432, 912, 15235, 19677, 27841, 815, 1582, 16192, 17045, 26098, 28804, 3065, 17045, 4590, 15235, 19677, 16192, 17045, 31927, 17045, 4311, 27841, 267, 1582, 2020, 4848, 16596, 6936, 692, 22592, 2312, 17045, 4311, 2187, 453, 19677, 27841, 815, 7183, 454, 453, 19677, 16000, 17045, 815, 7183, 454, 453, 19677, 16192, 17045, 815, 7183, 692, 22592, 1265, 28804, 3065, 17045, 4311, 2187, 453, 14851, 1582, 16000, 17045, 912, 4848, 16596, 1582, 16000, 17045, 26098, 28804, 3065, 17045, 4590, 453, 28432, 912, 4848, 16596, 1582, 27841, 19638, 3698, 1820, 289, 2435, 21698, 10031, 453, 320, 4671, 872, 815, 23030, 21698, 3488, 320, 5073, 13537, 5416, 4671, 872, 27841, 994, 13537, 5416, 4671, 872, 16000, 17045, 994, 13537, 5416, 4671, 872, 16192, 17045, 2020, 453, 320, 4671, 872, 27044, 318, 3847, 3488, 321, 5073, 453, 321, 4671, 872, 815, 513, 4671, 872, 16000, 17045, 454, 453, 321, 4671, 872, 27044, 318, 2431, 3488, 323, 17210, 453, 320, 4671, 872, 27044, 318, 2431, 3488, 322, 5073, 453, 322, 4671, 872, 815, 513, 4671, 872, 16192, 17045, 454, 453, 322, 4671, 872, 27044, 318, 2431, 3488, 325, 5073, 453, 322, 4671, 872, 27044, 318, 3847, 3488, 324, 17210, 13537, 2891, 288, 281, 19382, 281, 834, 1341, 513, 4671, 872, 16000, 17045, 27841, 994, 13537, 2891, 288, 281, 9406, 281, 834, 1341, 513, 4671, 872, 16192, 17045, 27841, 994, 13537, 2891, 289, 281, 9406, 281, 834, 1341, 536, 4671, 872, 16192, 17045, 27841, 994, 13537, 2891, 290, 281, 19382, 281, 834, 1341, 524, 4671, 872, 16000, 17045, 27841, 994, 13537, 2891, 290, 281, 9406, 281, 834, 1341, 524, 4671, 872, 16192, 17045, 27841, 2020, 453, 320, 4671, 872, 269, 8578, 338, 10797, 3698, 1820, 289, 2435, 15507, 21698, 10031, 453, 321, 560, 815, 23030, 15507, 21698, 263, 1428, 994, 453, 321, 560, 27044, 17045, 263, 1015, 994, 453, 321, 560, 27044, 17045, 263, 279, 994, 453, 321, 560, 27044, 17045, 263, 1321, 994, 453, 321, 560, 27044, 17045, 263, 736, 994, 453, 321, 560, 27044, 17045, 263, 1704, 994, 453, 321, 560, 27044, 17045, 263, 1839, 994, 453, 321, 560, 27044, 17045, 263, 866, 994, 13537, 6357, 560, 26098, 17045, 263, 1428, 4917, 13537, 6357, 560, 26098, 17045, 263, 1015, 4917, 13537, 6357, 560, 26098, 17045, 263, 279, 4917, 13537, 6357, 560, 26098, 17045, 263, 1321, 4917, 13537, 6357, 560, 26098, 17045, 263, 736, 4917, 13537, 6357, 560, 26098, 17045, 263, 1704, 4917, 13537, 6357, 560, 26098, 17045, 263, 1839, 4917, 13537, 6357, 560, 26098, 17045, 263, 866, 4917, 13537, 6357, 560, 31927, 17045, 263, 279, 267, 7183, 4297, 1948, 6936, 454, 13537, 6357, 560, 31927, 17045, 263, 1704, 267, 7183, 4297, 1948, 6936, 454, 13537, 6357, 560, 31927, 17045, 263, 1428, 267, 7183, 4297, 1948, 6936, 454, 28768, 3698, 1292, 10031, 13537, 289, 2435, 15507, 21698, 10797, 604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 454, 5814, 5468, 692, 325, 815, 5468, 8807, 454, 14537, 318, 31709, 815, 5468, 6983, 648, 318, 31709, 7531, 3698, 1761, 318, 24479, 5560, 2700, 2187, 825, 8173, 825, 570, 1389, 513, 10581, 8204, 519, 3845, 1063, 1079, 5536, 563, 825, 16849, 513, 10581, 8204, 519, 20707, 3716, 4211, 9051, 2203, 1761, 1648, 540, 602, 6292, 540, 5536, 563, 825, 8173, 825, 3586, 815, 16733, 276, 1315, 476, 1240, 264, 2608, 630, 325, 2878, 476, 272, 269, 276, 4917, 825, 952, 3845, 10922, 4295, 318, 31709, 912, 1038, 2132, 3586, 2608, 11196, 12639, 28802, 5560, 2700, 1315, 4295, 318, 31709, 264, 1341, 476, 272, 269, 271, 1315, 630, 272, 269, 271, 1341, 5286, 28460, 6600, 1315, 476, 273, 21875, 825, 3116, 912, 1038, 2132, 3586, 2608, 630, 14537, 318, 31709, 1315, 630, 272, 1341, 5286, 28460, 6600, 1315, 476, 273, 4917, 4449, 19930, 2608, 630, 12639, 269, 10339, 9230, 12639, 28460, 6600, 264, 2608, 630, 323, 2700, 910, 4295, 318, 31709, 4297, 1315, 630, 273, 2608, 4295, 318, 31709, 4297, 1315, 3845, 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, 9741, 15207, 729, 8049, 827, 2338, 543, 741, 11580, 269, 1261, 6068, 10203, 1919, 1472, 1864, 910, 6801, 267, 12269, 267, 6517, 8429, 676, 269, 2290, 1554, 267, 646, 1336, 606, 2025, 9219, 13042, 1412, 290, 3008, 22473, 8339, 901, 17275, 1010, 7279, 267, 834, 296, 4898, 950, 31909, 22473, 3323, 12482, 4415, 513, 2370, 948, 689, 3158, 267, 789, 4362, 602, 31909, 22473, 729, 8547, 538, 519, 1032, 476, 3707, 277, 269, 19196, 1243, 267, 15207, 4941, 547, 917, 811, 827, 713, 2027, 1297, 269, 8625, 267, 789, 24389, 593, 513, 6746, 2329, 7045, 2439, 257, 12441, 596, 917, 267, 6653, 24711, 2437, 16474, 3459, 267, 834, 7474, 930, 2338, 723, 1945, 1572, 1412, 2399, 832, 262, 286, 1358, 2811, 2338, 602, 666, 7941, 14961, 883, 1776, 1297, 3010, 20755, 3240, 19557, 32348, 269, 834, 3383, 267, 1018, 2186, 540, 1297, 568, 476, 3707, 277, 267, 16474, 12482, 300, 558, 6045, 267, 834, 11039, 267, 952, 649, 7941, 476, 3707, 277, 676, 476, 273, 267, 649, 1205, 476, 9032, 274, 269, 2334, 1797, 1312, 476, 273, 543, 476, 9032, 274, 616, 2188, 540, 476, 3707, 277, 10590, 4173, 9416, 14360, 519, 6498, 1129, 593, 1200, 13869, 267, 20515, 875, 8840, 1524, 2338, 1223, 7866, 6456, 4296, 1063, 873, 780, 4415, 1000, 1074, 1782, 4064, 267, 15207, 4280, 267, 834, 3719, 3884, 1405, 602, 1434, 267, 16474, 286, 11109, 1082, 2828, 2306, 803, 6126, 15323, 300, 558, 20493, 267, 834, 8133, 267, 2348, 2828, 568, 8748, 256, 1809, 3314, 267, 3006, 1373, 2189, 666, 849, 581, 3833, 9058, 269, 6145, 6305, 2338, 267, 799, 723, 1152, 1079, 2828, 1107, 476, 272, 543, 2933, 269, 3807, 899, 1169, 6777, 4148, 820, 568, 1114, 2943, 4190, 538, 922, 1378, 1259, 3010, 4504, 29098, 267, 15207, 11432, 1229, 936, 891, 1007, 2093, 1247, 575, 5074, 909, 693, 519, 3781, 6607, 4904, 609, 9118, 6801, 269, 2368, 1000, 1074, 1194, 1927, 267, 1866, 695, 821, 4805, 282, 1142, 1185, 2984, 547, 2995, 267, 1454, 899, 519, 2338, 646, 4121, 2221, 269, 9282, 711, 782, 21368, 4547, 8788, 899, 646, 2219, 267, 15207, 6956, 602, 1620, 3604, 1500, 3025, 11108, 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, 3674, 16629, 1470, 781, 15713, 1032, 513, 12432, 1297, 286, 670, 7825, 332, 267, 1250, 5832, 540, 4555, 912, 2414, 3313, 952, 16629, 1470, 781, 15713, 1032, 568, 513, 12432, 1297, 267, 1577, 781, 1101, 1265, 856, 519, 1032, 16629, 1470, 729, 8547, 543, 1287, 4983, 2436, 519, 1297, 568, 12432, 610, 711, 780, 3721, 476, 272, 281, 4855, 16629, 1470, 781, 15713, 1032, 563, 290, 553, 1470, 729, 8547, 538, 476, 3707, 277, 780, 3721, 476, 273, 281, 14419, 952, 519, 15713, 1032, 568, 513, 12432, 1297, 563, 288, 12432, 1297, 568, 513, 2318, 8870, 602, 814, 2188, 824, 982, 476, 272, 543, 3294, 269, 769, 824, 1913, 267, 621, 1590, 723, 693, 2547, 835, 27708, 16310, 476, 272, 543, 519, 1297, 3294, 269, 1403, 513, 1297, 1152, 814, 1079, 2188, 630, 272, 543, 3294, 1070, 621, 568, 513, 6305, 1297, 780, 3721, 476, 274, 281, 6744, 585, 16975, 563, 4131, 781, 2638, 952, 476, 3707, 277, 814, 1022, 16975, 824, 982, 476, 272, 543, 3294, 563, 3707, 277, 21680, 476, 273, 815, 476, 9032, 274, 267, 799, 1797, 476, 273, 543, 476, 9032, 274, 616, 2188, 540, 476, 3707, 277, 780, 7712, 476, 3707, 277, 814, 2188, 824, 982, 476, 272, 543, 3294, 630, 273, 543, 476, 9032, 274, 1070, 621, 568, 513, 12432, 1297, 269, 1924, 267, 9811, 267, 16629, 1470, 781, 15713, 1032, 568, 513, 12432, 1297, 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, 31226, 12792, 28383, 616, 811, 1455, 982, 835, 1522, 1589, 267, 7133, 6634, 540, 1004, 5001, 269, 1452, 18784, 7103, 8853, 1369, 519, 1480, 1560, 267, 1419, 1094, 6137, 4105, 5567, 543, 4929, 513, 16221, 540, 1072, 2152, 269, 634, 1523, 540, 21313, 2973, 572, 814, 6591, 20086, 5063, 1813, 547, 922, 1761, 2640, 538, 678, 27570, 519, 1560, 540, 891, 13311, 14538, 269, 901, 3184, 12538, 883, 519, 14960, 540, 21313, 18274, 525, 267, 741, 4644, 538, 11455, 3782, 267, 543, 2404, 2591, 269, 1284, 786, 2417, 2263, 875, 1808, 6197, 5079, 267, 971, 607, 7802, 2326, 267, 949, 3310, 2949, 8171, 543, 18687, 547, 15495, 780, 296, 269, 4197, 31226, 2572, 543, 4256, 8177, 593, 5274, 2657, 454, 288, 269, 9502, 543, 8760, 540, 15495, 454, 272, 269, 1160, 1729, 345, 10394, 281, 17266, 16052, 539, 7103, 899, 16902, 731, 807, 543, 15303, 30950, 29899, 454, 273, 269, 4477, 2381, 2195, 281, 5564, 545, 32698, 17494, 267, 1519, 11746, 19095, 267, 5180, 19095, 267, 543, 2770, 7719, 454, 289, 269, 5871, 12331, 540, 6771, 454, 272, 269, 2552, 3133, 730, 1426, 543, 1216, 454, 273, 269, 13555, 609, 7783, 2043, 610, 2831, 454, 274, 269, 24538, 10321, 267, 971, 607, 19498, 543, 7904, 553, 454, 290, 269, 12580, 540, 26220, 3968, 454, 272, 269, 30887, 14528, 18063, 281, 4144, 1551, 9996, 267, 19228, 267, 26533, 267, 543, 14159, 1928, 454, 273, 269, 15310, 8982, 543, 8467, 454, 274, 269, 16164, 8886, 725, 543, 30919, 454, 275, 269, 2353, 21544, 6547, 454, 276, 269, 1323, 8598, 543, 8770, 19518, 454, 277, 269, 10076, 535, 17344, 1465, 543, 5042, 15717, 454, 278, 269, 21210, 1062, 14524, 692, 2862, 269, 21929, 324, 19992, 31226, 924, 7581, 753, 525, 454, 288, 269, 26472, 8937, 1072, 454, 272, 269, 31514, 12536, 543, 10338, 3157, 454, 273, 269, 25417, 6225, 8937, 4551, 454, 274, 269, 26805, 6553, 543, 19842, 2566, 454, 289, 269, 4425, 24031, 4761, 1599, 454, 272, 269, 16237, 28517, 2067, 8878, 6127, 454, 273, 269, 28206, 2084, 18687, 547, 2309, 2065, 13596, 454, 290, 269, 18601, 5817, 3123, 540, 5312, 4576, 454, 272, 269, 1325, 4582, 11868, 2589, 5532, 547, 32373, 539, 26220, 5563, 454, 273, 269, 25947, 2790, 9355, 543, 3929, 6617, 454, 291, 269, 18964, 11455, 1582, 13282, 2853, 454, 272, 269, 674, 29183, 11009, 543, 18532, 2713, 454, 273, 269, 25085, 532, 2043, 547, 1491, 1852, 540, 741, 1072, 4093, 692, 7656, 269, 20074, 513, 21988, 31226, 924, 11162, 572, 454, 288, 269, 26678, 12381, 454, 272, 269, 3117, 11167, 4550, 24733, 553, 12792, 3536, 281, 12275, 997, 267, 22481, 5452, 267, 20909, 267, 29018, 267, 543, 17310, 3282, 454, 273, 269, 26332, 3215, 605, 24733, 553, 12792, 6878, 281, 6713, 539, 14836, 267, 15568, 11950, 267, 543, 4568, 454, 289, 269, 26929, 566, 2994, 454, 272, 269, 14640, 24733, 553, 12792, 11922, 281, 4563, 9267, 18133, 267, 804, 7174, 267, 7626, 1146, 334, 3282, 267, 543, 21431, 6229, 454, 273, 269, 11525, 7821, 281, 10163, 1681, 3666, 547, 15499, 18508, 454, 274, 269, 6226, 24304, 11476, 281, 19630, 1944, 15059, 543, 17594, 540, 15495, 454, 290, 269, 27999, 11941, 454, 272, 269, 19737, 2566, 998, 9066, 267, 10649, 267, 610, 824, 11005, 2553, 454, 273, 269, 26875, 1944, 2298, 3207, 543, 4509, 5812, 21557, 13467, 454, 274, 269, 28552, 1434, 9882, 543, 19455, 6208, 692, 4353, 269, 28577, 2037, 1120, 7497, 543, 4706, 10020, 538, 4270, 7424, 454, 288, 269, 4985, 547, 6915, 523, 1120, 2045, 3741, 454, 272, 269, 8585, 573, 2103, 543, 669, 752, 6652, 281, 6052, 9055, 2429, 519, 1560, 454, 273, 269, 966, 2320, 1049, 4915, 281, 4498, 1145, 532, 519, 7067, 1379, 540, 3280, 267, 1769, 267, 543, 2681, 454, 289, 269, 25732, 5958, 12451, 454, 272, 269, 5082, 11424, 2361, 7020, 3457, 454, 273, 269, 17340, 331, 1014, 10344, 281, 10439, 6041, 540, 17615, 22782, 454, 290, 269, 20480, 585, 21313, 18274, 525, 543, 2949, 1072, 454, 272, 269, 29922, 7802, 2326, 602, 3895, 2318, 5854, 2218, 2829, 454, 273, 269, 3680, 532, 10991, 17234, 1634, 547, 2539, 17615, 12451, 454, 274, 269, 21344, 4835, 19367, 676, 29596, 7446, 23157, 1500, 689, 5214, 267, 2067, 11103, 692, 309, 269, 12694, 543, 19047, 28259, 532, 31226, 924, 7581, 753, 525, 454, 288, 269, 15783, 2427, 2360, 543, 8801, 6547, 454, 272, 269, 4173, 343, 10773, 5114, 281, 570, 3637, 12615, 566, 540, 2589, 1282, 19140, 2305, 454, 273, 269, 715, 26798, 22930, 543, 23386, 20817, 454, 289, 269, 2552, 571, 785, 10716, 543, 15416, 454, 272, 269, 26579, 543, 20418, 454, 273, 269, 18127, 2068, 2175, 8506, 5571, 2564, 2359, 454, 274, 269, 6520, 5829, 2188, 281, 17925, 543, 12908, 12278, 5095, 454, 290, 269, 11660, 15418, 543, 25949, 454, 272, 269, 17290, 1382, 5885, 519, 12117, 540, 21313, 18274, 525, 454, 273, 269, 11957, 540, 2963, 2861, 2259, 8957, 23278, 4973, 6811, 692, 3528, 3695, 519, 10848, 540, 21313, 18274, 525, 1369, 519, 2796, 540, 6626, 1072, 543, 8516, 9270, 267, 713, 3184, 2488, 3988, 609, 513, 4396, 5748, 2390, 799, 789, 666, 1118, 5483, 3664, 3823, 741, 1378, 9716, 15322, 269, 3414, 2565, 2079, 540, 2139, 1239, 543, 15826, 3498, 540, 32687, 4485, 267, 1053, 786, 10836, 9280, 547, 6330, 519, 2479, 21608, 5251, 540, 14911, 543, 4244, 11257, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30995, 8923, 5077, 609, 707, 10629, 267, 14278, 626, 267, 610, 1072, 1416, 8502, 1354, 2921, 1022, 1753, 14319, 610, 9360, 610, 1739, 1022, 2126, 6700, 593, 713, 3135, 269, 8307, 707, 1072, 1416, 8502, 267, 2123, 10629, 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 ]
[ 7809, 8433, 5131, 8281, 9509, 19405, 585, 8837, 476, 1015, 269, 8266, 540, 782, 8433, 9501, 273, 15004, 454, 22091, 1619, 267, 519, 813, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 21952, 7010, 1315, 8837, 30325, 9008, 1315, 29456, 17972, 538, 8837, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 634, 30225, 2658, 2480, 732, 281, 589, 14730, 3848, 538, 1977, 3778, 543, 922, 25684, 4653, 692, 7072, 912, 1103, 519, 21987, 540, 2622, 2782, 4083, 267, 3013, 1336, 3294, 21679, 609, 12194, 1312, 4914, 543, 6469, 269, 2755, 5062, 10111, 20321, 1143, 543, 519, 4414, 2480, 732, 13856, 24657, 543, 2442, 9345, 267, 1776, 8449, 1202, 573, 1190, 5859, 8179, 547, 1625, 613, 519, 2475, 2229, 540, 1346, 9228, 607, 6937, 1813, 547, 741, 4638, 10066, 269, 901, 3184, 786, 5490, 883, 713, 2370, 8153, 1974, 1634, 607, 519, 30225, 2658, 2480, 732, 267, 3695, 922, 8129, 267, 6388, 267, 4539, 267, 543, 4207, 6286, 998, 1585, 3119, 2959, 543, 14046, 9382, 780, 4089, 2290, 281, 17959, 540, 21824, 910, 13067, 22785, 538, 5403, 8862, 541, 3013, 454, 2414, 1174, 519, 5072, 540, 519, 30225, 2658, 2480, 732, 267, 649, 1590, 1101, 4983, 6848, 8456, 2509, 32270, 1282, 713, 5736, 269, 11374, 2622, 2782, 4083, 267, 2757, 4008, 5107, 941, 15260, 1068, 539, 9624, 4145, 1472, 4657, 1514, 8155, 543, 2418, 269, 9182, 267, 1875, 13463, 614, 517, 768, 894, 5615, 2968, 2404, 609, 1016, 11437, 543, 1799, 528, 1275, 269, 5015, 267, 2564, 4648, 2619, 860, 1242, 32270, 267, 17923, 2942, 11475, 543, 5807, 7839, 4630, 22785, 269, 1452, 2686, 32370, 9788, 519, 24536, 585, 519, 30225, 2658, 2480, 732, 780, 4089, 5565, 281, 9622, 10885, 540, 519, 30225, 2658, 2480, 732, 454, 299, 1197, 1645, 4540, 28639, 1996, 20210, 2043, 267, 27737, 9478, 5062, 10111, 20321, 3459, 1818, 5667, 889, 560, 656, 7007, 6811, 827, 19797, 22467, 1674, 1369, 519, 3557, 4972, 269, 1261, 2663, 9450, 1010, 5880, 1228, 547, 3077, 16957, 28305, 338, 267, 19163, 789, 15054, 513, 3354, 1981, 1317, 789, 1223, 581, 3109, 332, 9229, 676, 8168, 8069, 3222, 540, 741, 10363, 4567, 896, 5313, 1876, 630, 520, 519, 942, 1040, 4935, 3323, 513, 18487, 18338, 6968, 6322, 693, 1625, 3101, 16143, 14447, 543, 24139, 5520, 689, 2229, 7158, 780, 4089, 8422, 281, 23840, 540, 8830, 2471, 543, 24727, 454, 15152, 5518, 29276, 327, 1077, 781, 15445, 11352, 476, 10441, 2004, 630, 4198, 274, 1070, 4638, 1821, 4800, 2968, 12406, 585, 26694, 610, 24677, 540, 7694, 538, 519, 5313, 5823, 269, 1306, 513, 1267, 267, 5215, 4503, 741, 6009, 1510, 1813, 1184, 610, 2963, 3564, 6071, 27421, 269, 8549, 8041, 8045, 14017, 11974, 267, 23827, 725, 267, 543, 13178, 12485, 24188, 540, 1346, 1031, 1282, 519, 4414, 2480, 732, 269, 17721, 12820, 4553, 9290, 267, 2870, 606, 5790, 540, 24245, 4250, 543, 7130, 1996, 20210, 1004, 780, 4089, 9050, 281, 8177, 543, 2991, 4118, 454, 19741, 2123, 32333, 267, 519, 30225, 2658, 2480, 732, 1185, 2484, 23568, 29298, 269, 898, 2417, 588, 25634, 1242, 32270, 267, 6117, 1082, 4299, 2043, 4514, 883, 9658, 1097, 543, 10072, 269, 5047, 267, 621, 29103, 1229, 15061, 2797, 989, 31789, 1247, 3623, 9760, 29926, 532, 9739, 269, 6736, 930, 3356, 2094, 1287, 267, 22514, 580, 525, 540, 713, 4158, 1974, 3136, 547, 3310, 2413, 9840, 4478, 11806, 266, 2924, 543, 6041, 780, 3519, 3825, 547, 7351, 12367, 281, 4860, 529, 1746, 519, 22684, 540, 519, 30225, 2658, 2480, 732, 454, 24137, 4464, 547, 2221, 781, 2916, 267, 1141, 1896, 2829, 723, 21892, 9086, 28142, 5717, 827, 4638, 10066, 543, 4008, 3961, 538, 3506, 269, 31379, 8044, 971, 3800, 16079, 519, 24890, 543, 22166, 2938, 1282, 519, 30225, 2658, 2480, 732, 269, 1635, 1139, 7675, 4977, 3140, 6386, 267, 891, 4031, 28511, 22293, 543, 6536, 29383, 2509, 12790, 2950, 780, 6962, 912, 6597, 3539, 519, 30225, 2658, 2480, 732, 3091, 3407, 4030, 883, 875, 7184, 31737, 14882, 666, 3337, 3609, 543, 2528, 269, 4706, 4245, 4196, 607, 23106, 540, 519, 5571, 6560, 585, 7862, 543, 13784, 267, 28409, 721, 547, 13720, 2250, 9073, 543, 11441, 585, 513, 811, 17519, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4415, 3592, 3368, 540, 782, 1053, 538, 519, 2136, 2276, 11504, 513, 1153, 4171, 7855, 723, 1044, 2016, 3872, 575, 698, 9753, 547, 10238, 527, 873, 689, 3450, 25473, 827, 519, 1686, 540, 11528, 10168, 267, 513, 29065, 3060, 540, 7855, 267, 3237, 267, 543, 1053, 2066, 519, 2197, 616, 12180, 513, 1948, 5938, 778, 23871, 3578, 2817, 4303, 540, 11059, 593, 4873, 476, 1015, 267, 476, 1708, 274, 267, 547, 4339, 1394, 563, 10932, 689, 519, 10911, 307, 28644, 31524, 5741, 856, 540, 519, 17459, 6369, 4521, 3427, 8761, 602, 3800, 22215, 5168, 995, 3450, 827, 5198, 723, 1044, 5293, 693, 2901, 519, 5313, 267, 1533, 267, 610, 2199, 1377, 538, 1169, 1533, 4849, 28599, 2443, 4031, 602, 1764, 968, 1478, 476, 2420, 2929, 1857, 1153, 1453, 267, 3592, 3368, 540, 519, 2197, 779, 476, 2004, 269, 279, 2929, 1857, 1153, 1053, 3034, 763, 1764, 540, 891, 4550, 3620, 626, 800, 4031, 568, 2352, 547, 936, 8063, 269, 769, 19578, 267, 1164, 1153, 4116, 15535, 654, 1157, 523, 330, 2086, 4280, 1010, 2706, 23734, 550, 267, 968, 31535, 602, 594, 1058, 6529, 547, 519, 5013, 267, 543, 6616, 602, 547, 2161, 2048, 338, 18561, 729, 4636, 16224, 602, 779, 711, 513, 1249, 267, 602, 779, 513, 18879, 267, 568, 621, 11807, 9087, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 30225, 2658, 2480, 732, 257, 607, 851, 540, 834, 19615, 1315, 11806, 266, 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, 17138, 281, 1215, 547, 5192, 4400, 24110, 693, 3427, 692, 7072, 912, 288, 2151, 1324, 1164, 9344, 538, 1153, 568, 513, 3804, 602, 1082, 1053, 11441, 585, 269, 898, 3340, 11428, 267, 2500, 1353, 6208, 267, 942, 2359, 1983, 267, 543, 513, 2620, 1620, 540, 519, 1570, 269, 901, 3102, 3391, 786, 3802, 596, 998, 1585, 3268, 547, 948, 596, 1205, 1164, 9344, 693, 1153, 1247, 3246, 1883, 4388, 543, 4808, 2059, 519, 1259, 269, 8528, 3721, 476, 272, 281, 29934, 2353, 26643, 17115, 454, 15008, 281, 8617, 20343, 2636, 596, 547, 10110, 1344, 4843, 538, 1362, 267, 7119, 538, 5717, 267, 543, 1628, 3347, 609, 707, 3610, 269, 11334, 616, 811, 2693, 547, 1683, 3606, 1489, 610, 22581, 547, 1053, 945, 6542, 7029, 676, 11504, 5049, 5781, 780, 7659, 9669, 912, 268, 5269, 1169, 4674, 547, 12446, 593, 942, 269, 17623, 2855, 11040, 666, 7519, 519, 1565, 1604, 543, 949, 1267, 538, 14406, 1271, 14773, 906, 610, 5528, 563, 268, 3502, 1518, 707, 4116, 538, 4434, 952, 596, 1590, 4413, 513, 1362, 1813, 547, 4576, 610, 824, 796, 28300, 762, 6381, 563, 268, 5623, 1022, 2326, 4988, 1282, 707, 9000, 547, 2327, 596, 3251, 909, 3562, 15082, 609, 519, 1576, 1543, 780, 3721, 476, 273, 281, 6875, 26346, 11872, 454, 15008, 281, 1635, 8362, 2502, 538, 4063, 23824, 267, 596, 616, 811, 2693, 547, 11677, 519, 1344, 1373, 6026, 269, 3958, 267, 2348, 1134, 268, 23457, 4967, 786, 581, 6225, 950, 17265, 1570, 585, 4255, 543, 17118, 780, 7659, 9669, 912, 268, 2422, 31120, 543, 6698, 547, 4688, 942, 543, 7873, 1619, 1344, 563, 268, 3763, 513, 1062, 585, 12180, 707, 4967, 630, 324, 3052, 1421, 5094, 6810, 585, 1114, 3584, 267, 2681, 2275, 5317, 1916, 268, 2991, 1362, 267, 27682, 543, 4228, 2390, 707, 4967, 547, 12927, 707, 3965, 540, 519, 1570, 780, 3721, 476, 274, 281, 13159, 14581, 25849, 906, 18897, 5699, 543, 2201, 5384, 454, 15008, 281, 7388, 1154, 6780, 10467, 9727, 707, 18515, 547, 4497, 609, 519, 1641, 2339, 3544, 540, 1362, 942, 269, 5015, 267, 2834, 2259, 25040, 2035, 4121, 538, 1362, 267, 3056, 547, 4824, 2773, 593, 10526, 780, 7659, 9669, 912, 268, 10670, 2324, 593, 10467, 607, 4166, 607, 2009, 1310, 789, 723, 1044, 8655, 563, 268, 16505, 3677, 4247, 883, 4130, 267, 19242, 25098, 563, 268, 16418, 6351, 689, 3610, 267, 21493, 267, 610, 9905, 952, 596, 7237, 7965, 11264, 606, 7084, 780, 3721, 476, 275, 281, 8073, 513, 5530, 21480, 454, 15008, 281, 589, 5812, 1353, 8430, 5849, 7850, 7041, 585, 11400, 267, 17118, 267, 543, 3785, 269, 5047, 267, 4974, 1507, 5666, 540, 1570, 936, 6905, 5712, 540, 942, 8992, 1732, 12802, 3379, 547, 16081, 2719, 1804, 9424, 540, 1344, 1175, 1354, 606, 4879, 780, 7659, 9669, 912, 268, 667, 539, 6510, 1808, 2053, 2429, 519, 3018, 585, 4974, 1114, 5396, 563, 268, 16748, 538, 9397, 547, 2057, 25794, 543, 2226, 1445, 563, 268, 17797, 707, 8430, 607, 2877, 1759, 593, 2242, 538, 707, 4081, 24913, 610, 29599, 2238, 780, 3721, 476, 276, 281, 12160, 622, 2920, 1947, 538, 4147, 9181, 687, 454, 15008, 281, 15765, 7589, 538, 4928, 5717, 20502, 707, 6278, 609, 519, 1641, 2339, 543, 666, 1291, 547, 4514, 1620, 540, 1950, 3584, 269, 5015, 267, 3610, 5660, 1053, 945, 1491, 11036, 538, 7700, 547, 1895, 7391, 780, 7659, 9669, 912, 268, 16259, 6619, 540, 942, 676, 17265, 4143, 1570, 1991, 547, 1362, 563, 268, 4813, 3634, 15826, 2055, 610, 8292, 1644, 547, 519, 1888, 1373, 5941, 563, 268, 19415, 18906, 1947, 547, 707, 9905, 262, 7418, 543, 4431, 31635, 780, 3721, 476, 277, 281, 22982, 8249, 31072, 540, 4147, 454, 15008, 281, 26929, 531, 2200, 971, 607, 9499, 267, 2228, 4930, 267, 3872, 7044, 267, 543, 1353, 10274, 666, 3986, 707, 8223, 540, 4101, 2035, 269, 12056, 609, 891, 2645, 2488, 4244, 5380, 543, 2409, 585, 21716, 1007, 1344, 780, 7659, 9669, 912, 268, 13693, 707, 4116, 585, 5227, 2200, 3358, 547, 707, 1576, 1570, 563, 268, 19372, 513, 6296, 585, 6220, 5007, 2200, 883, 707, 1353, 8430, 630, 324, 3052, 1421, 4142, 21899, 835, 1554, 829, 3018, 9003, 585, 3695, 24045, 2326, 1916, 268, 25397, 707, 3356, 1210, 1582, 12431, 20156, 2645, 899, 15460, 610, 2259, 17118, 780, 3721, 476, 278, 281, 3763, 16200, 5384, 5004, 10341, 454, 15008, 281, 21344, 19174, 609, 2123, 4690, 543, 1514, 13800, 19329, 3608, 942, 2359, 269, 26875, 1944, 4247, 267, 4259, 10853, 3853, 267, 543, 782, 20814, 6190, 942, 585, 1142, 2534, 8309, 547, 2949, 1967, 538, 8236, 1164, 9344, 780, 7659, 9669, 912, 268, 5590, 2110, 3856, 543, 1279, 3856, 6859, 13988, 609, 707, 4081, 17050, 563, 268, 22982, 24990, 267, 30300, 1513, 267, 610, 8924, 547, 10891, 14232, 21852, 543, 20499, 563, 268, 14190, 8112, 1369, 707, 8430, 547, 13918, 6397, 2591, 610, 3255, 780, 6962, 912, 3528, 9846, 7598, 891, 2994, 267, 596, 786, 3715, 4396, 13654, 1983, 2556, 585, 13844, 1164, 9344, 693, 1153, 269, 5457, 267, 4081, 9740, 2164, 689, 10770, 4674, 543, 11428, 282, 2611, 8149, 547, 707, 2090, 267, 3343, 5583, 950, 2838, 267, 543, 8661, 19325, 2059, 519, 1259, 269, 6153, 9939, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 4400, 24110, 693, 3427, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 3848, 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 ]
[ 28355, 630, 298, 15121, 994, 268, 31406, 28355, 630, 27845, 15121, 994, 268, 645, 10740, 28355, 630, 289, 320, 263, 15121, 264, 273, 994, 268, 6970, 10901, 28355, 630, 12336, 15121, 994, 268, 853, 3224, 1756, 28355, 630, 306, 337, 263, 15121, 264, 273, 994, 268, 25289, 28355, 630, 25519, 263, 15121, 264, 273, 994, 268, 19077, 1756, 28355, 630, 30537, 15121, 994, 268, 11676, 29899, 28355, 630, 305, 321, 15121, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2932, 4524, 267, 11685, 531, 1219, 5050, 4524, 1916, 295, 269, 22226, 7592, 910, 7736, 1005, 3270, 540, 4555, 267, 4606, 267, 543, 5615, 17820, 676, 2043, 2066, 942, 543, 6381, 269, 1452, 10305, 3565, 547, 5812, 3604, 1851, 1004, 543, 3310, 875, 789, 13498, 2933, 267, 2170, 609, 1866, 267, 543, 4431, 547, 2825, 15128, 563, 296, 269, 5410, 1112, 633, 4713, 910, 15136, 5473, 31017, 6278, 538, 14785, 2238, 5103, 2942, 4539, 269, 5871, 3029, 1331, 6219, 946, 4713, 630, 324, 3052, 1421, 29015, 267, 3075, 8213, 264, 543, 8965, 1039, 11881, 630, 324, 3052, 1421, 13989, 4524, 267, 4950, 11080, 4524, 1916, 297, 269, 5915, 4919, 4162, 910, 25159, 10503, 2123, 7907, 4143, 547, 1895, 15376, 267, 1519, 2085, 267, 4008, 267, 14940, 267, 2069, 1377, 267, 4747, 267, 13567, 267, 543, 10923, 4087, 563, 298, 269, 4856, 21975, 2079, 910, 18926, 4480, 1031, 547, 22945, 12205, 1063, 6024, 4632, 269, 1703, 616, 1896, 2010, 540, 9756, 14170, 267, 971, 607, 21942, 781, 678, 267, 4325, 1301, 534, 781, 7584, 9756, 11664, 267, 543, 1448, 536, 16014, 658, 9756, 563, 299, 269, 20023, 19195, 9756, 910, 4746, 1634, 607, 536, 21725, 9756, 267, 621, 9356, 519, 2078, 1063, 1079, 4632, 1510, 9013, 585, 1022, 1761, 1476, 15929, 2188, 563, 300, 269, 3487, 658, 9756, 910, 17797, 338, 585, 519, 2360, 540, 3606, 4632, 950, 21501, 3347, 1063, 8424, 540, 4632, 269, 1635, 8051, 585, 970, 8735, 748, 7506, 267, 9864, 21374, 2709, 4030, 883, 2189, 12205, 1063, 17122, 30661, 543, 4093, 780, 2862, 269, 16792, 10417, 21476, 547, 519, 7193, 299, 281, 306, 309, 4406, 9179, 5530, 454, 2414, 9414, 519, 10626, 540, 1523, 7851, 538, 14123, 8223, 540, 1950, 3584, 267, 1577, 721, 2015, 519, 15418, 1353, 5018, 693, 519, 4098, 540, 713, 3184, 269, 12824, 8947, 519, 3815, 2497, 267, 4835, 11007, 267, 543, 5007, 14496, 540, 519, 10089, 326, 4115, 8144, 540, 519, 670, 732, 5369, 14527, 6744, 4289, 281, 30587, 19405, 630, 303, 12710, 281, 306, 309, 264, 538, 513, 3732, 540, 476, 26783, 10089, 326, 4115, 4079, 6537, 689, 519, 2489, 2146, 267, 609, 476, 6977, 5171, 8989, 513, 1686, 540, 6219, 13829, 269, 7612, 476, 272, 2488, 606, 1383, 540, 513, 1523, 4786, 28388, 1898, 2609, 540, 519, 1353, 1374, 543, 3119, 4681, 780, 314, 11900, 1068, 7612, 476, 272, 827, 1934, 6540, 2026, 13269, 538, 519, 4137, 267, 519, 3844, 6843, 4564, 519, 2949, 3804, 540, 519, 15418, 1353, 1765, 1410, 600, 1456, 519, 2618, 6248, 3601, 540, 519, 10089, 326, 4115, 4528, 540, 519, 7193, 299, 281, 306, 309, 269, 645, 3757, 4221, 1055, 689, 713, 4295, 1523, 616, 5705, 641, 923, 17640, 547, 27696, 4485, 6964, 538, 519, 7634, 267, 4553, 676, 811, 30704, 3877, 7282, 1239, 4015, 5773, 543, 25107, 2553, 8246, 269, 7053, 267, 12363, 9136, 7001, 32330, 8753, 6508, 689, 519, 1382, 2319, 781, 3646, 780, 8794, 713, 1523, 4786, 607, 513, 3391, 267, 1053, 666, 6330, 6946, 3344, 540, 519, 15418, 1353, 1247, 2502, 1312, 11913, 543, 8901, 4393, 5759, 269, 1306, 789, 29906, 8371, 16046, 13654, 3741, 547, 12170, 4681, 267, 6267, 27261, 958, 1628, 21934, 9529, 5885, 4514, 2157, 540, 1620, 269, 5015, 267, 6220, 3308, 11269, 10597, 8404, 543, 8992, 3742, 1565, 267, 7551, 5807, 3152, 12802, 3379, 547, 2757, 11000, 12043, 4805, 780, 7656, 269, 30855, 10417, 21476, 538, 15858, 19019, 454, 293, 659, 8372, 5275, 547, 11753, 1523, 11837, 5751, 883, 741, 21195, 1058, 2015, 7598, 519, 1739, 3268, 912, 288, 269, 10670, 676, 10962, 4909, 2165, 514, 3098, 2404, 609, 519, 3077, 4020, 896, 6514, 630, 514, 938, 2013, 267, 2618, 14527, 543, 922, 1644, 7403, 1040, 3629, 2312, 8847, 267, 3140, 4282, 267, 543, 4207, 3156, 547, 3715, 10083, 543, 6536, 2875, 1719, 563, 289, 269, 8921, 267, 1459, 513, 5618, 7650, 540, 1883, 3334, 16030, 519, 1382, 1374, 540, 519, 15418, 1353, 4330, 4505, 269, 22716, 1125, 2565, 5933, 540, 519, 7634, 267, 971, 607, 8939, 3617, 10386, 14604, 267, 9591, 10512, 8847, 267, 10655, 6325, 543, 4570, 1239, 267, 7311, 11826, 25107, 2409, 267, 543, 22412, 908, 29829, 4030, 563, 290, 269, 11374, 3355, 4598, 547, 6086, 633, 1570, 267, 4305, 1053, 609, 2870, 25191, 1523, 7851, 18995, 2101, 4798, 543, 4296, 29742, 539, 689, 1362, 5717, 543, 13220, 269, 11559, 5876, 543, 5647, 1282, 713, 5123, 267, 3850, 15792, 3255, 585, 9263, 5955, 543, 14357, 5583, 563, 291, 269, 26431, 6338, 5051, 10427, 2035, 2429, 7766, 4245, 267, 8716, 1053, 547, 23590, 543, 4228, 2390, 4540, 10850, 9935, 269, 3683, 942, 267, 5000, 6267, 547, 2671, 9687, 12222, 609, 9164, 267, 5009, 3444, 1790, 3326, 1588, 540, 2093, 543, 10319, 1966, 9010, 563, 292, 269, 11270, 1227, 2689, 6192, 1523, 7851, 7258, 3312, 2707, 2326, 547, 2327, 6111, 543, 1264, 28467, 269, 22365, 4403, 2953, 12496, 543, 1201, 1393, 20887, 607, 2877, 267, 3246, 12905, 32598, 543, 23918, 3358, 547, 1367, 2115, 563, 293, 269, 14936, 267, 4161, 4359, 1053, 547, 8831, 741, 12497, 6302, 2417, 1869, 676, 3695, 11105, 2127, 540, 14374, 4448, 547, 519, 3119, 1445, 540, 6044, 269, 11559, 4830, 6602, 543, 1582, 30928, 1565, 3842, 1930, 25804, 14511, 267, 18136, 7279, 543, 4898, 2059, 519, 1259, 780, 4353, 269, 10390, 454, 3528, 10128, 1523, 7851, 883, 4928, 6044, 267, 7855, 666, 948, 1053, 20920, 609, 1950, 5626, 21437, 899, 2618, 14527, 543, 1732, 5660, 13857, 3347, 1851, 9583, 19635, 9259, 269, 5047, 267, 16107, 8642, 25696, 6087, 6267, 547, 11349, 1558, 659, 4321, 1983, 4105, 585, 1967, 538, 2221, 781, 6385, 4657, 1158, 267, 1141, 13916, 543, 8112, 12081, 18678, 269, 11086, 267, 14139, 971, 24099, 2645, 26549, 3309, 1565, 6163, 1247, 14637, 7214, 2208, 543, 1646, 267, 16779, 2104, 5481, 540, 5640, 547, 7903, 519, 4395, 4536, 540, 1480, 1620, 2479, 4464, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 12291, 267, 7812, 808, 5919, 2806, 1090, 578, 6308, 267, 8349, 2106, 282, 23849, 850, 341, 267, 9677, 328, 282, 4425, 345, 30516, 990, 267, 17340, 559, 282, 966, 817, 850, 9366, 267, 808, 553, 2381, 454, 763, 2489, 714, 1464, 540, 519, 2618, 14527, 4020, 547, 8109, 3864, 4529, 814, 711, 1044, 1134, 24713, 1221, 267, 543, 1100, 1991, 2090, 723, 11117, 2618, 14527, 538, 1875, 11325, 2658, 5439, 689, 713, 2551, 269, 634, 1699, 15418, 1353, 12116, 519, 3815, 2497, 267, 4835, 11007, 267, 543, 5007, 14496, 540, 519, 10089, 326, 4115, 8144, 540, 519, 670, 732, 5369, 14527, 6744, 4289, 281, 30587, 19405, 269, 5565, 4627, 24239, 26690, 10089, 326, 4115, 4079, 689, 519, 2489, 2146, 941, 12290, 267, 540, 799, 476, 6977, 1185, 513, 1686, 540, 6219, 13829, 269, 4762, 3305, 2218, 3815, 2079, 8612, 1434, 3514, 585, 519, 1079, 19985, 1614, 19985, 543, 2185, 29969, 3631, 540, 2618, 14527, 269, 20023, 19195, 543, 9864, 9756, 9382, 941, 5342, 1063, 519, 1079, 2188, 540, 2618, 14527, 543, 21205, 3800, 540, 24431, 3469, 2623, 267, 4835, 1944, 543, 5007, 1944, 2618, 31752, 267, 7209, 7592, 267, 22925, 4713, 543, 15295, 4162, 269, 9534, 6062, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3519, 1061, 21476, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 18873, 630, 8448, 29215, 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, 11572, 3163, 1315, 5398, 8889, 6092, 5149, 281, 634, 28249, 540, 4139, 16241, 15213, 543, 5274, 3004, 16751, 10644, 543, 15863, 692, 1103, 2221, 781, 10562, 1158, 267, 621, 568, 1898, 547, 1174, 875, 1585, 2152, 616, 4448, 543, 1764, 835, 1776, 269, 5565, 2565, 2127, 602, 723, 6591, 2810, 3007, 538, 2487, 1296, 616, 3486, 3909, 5191, 543, 1480, 19338, 6604, 543, 3210, 269, 901, 1576, 1770, 786, 2263, 891, 1079, 3584, 543, 4983, 741, 10167, 267, 10223, 519, 1909, 1857, 3609, 666, 1404, 538, 5466, 1312, 2152, 8195, 780, 296, 269, 4985, 692, 9824, 16406, 5191, 543, 1480, 19338, 616, 10296, 4145, 5001, 269, 4340, 547, 519, 623, 1168, 3194, 4741, 267, 9993, 593, 4984, 2799, 538, 476, 1001, 278, 267, 7133, 476, 7367, 2477, 630, 303, 1168, 3194, 4741, 267, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12709, 11847, 2176, 17220, 16241, 15213, 18614, 1862, 20578, 7797, 910, 476, 277, 4366, 323, 272, 321, 7176, 323, 277, 12404, 4139, 16241, 15213, 18614, 11426, 7797, 1401, 1356, 14186, 281, 5696, 2317, 328, 267, 8738, 2742, 267, 25591, 267, 12868, 267, 5487, 657, 267, 17111, 267, 13372, 267, 14135, 1341, 273, 811, 8433, 540, 4139, 16241, 15213, 23037, 676, 13474, 23037, 676, 8791, 769, 713, 3296, 1315, 5696, 2317, 328, 15445, 12834, 8791, 594, 269, 16241, 5915, 2762, 8791, 4083, 269, 21073, 540, 6554, 21727, 585, 16241, 15213, 13751, 17563, 6554, 13756, 8791, 8633, 269, 21073, 540, 5081, 13926, 21727, 585, 16241, 15213, 8791, 10001, 269, 772, 2529, 269, 6554, 8889, 543, 22580, 8738, 2742, 15445, 12834, 8791, 594, 269, 16241, 5915, 2762, 8791, 4083, 269, 21073, 540, 6554, 21727, 585, 16241, 15213, 13751, 17563, 6554, 13756, 8791, 8633, 269, 21073, 540, 5081, 13926, 21727, 585, 16241, 15213, 8791, 10001, 269, 772, 2529, 269, 6554, 8889, 543, 22580, 25591, 15445, 12834, 8791, 594, 269, 16241, 5915, 2762, 8791, 4083, 269, 21073, 540, 6554, 21727, 585, 16241, 15213, 13751, 17563, 717, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 5398, 8889, 1315, 26790, 1315, 5274, 3004, 16751, 10644, 543, 15863, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4197, 24251, 543, 10435, 13245, 932, 7860, 692, 5970, 596, 2479, 4862, 827, 4079, 3478, 29279, 547, 1919, 899, 10918, 267, 4730, 3381, 3756, 267, 610, 1256, 1945, 1572, 834, 326, 3711, 1782, 22172, 24251, 4523, 950, 2576, 8952, 3257, 1945, 936, 543, 936, 1586, 267, 1256, 952, 621, 781, 4929, 2042, 538, 741, 1272, 269, 1358, 1522, 1745, 899, 789, 666, 1405, 3247, 267, 1256, 950, 789, 1616, 547, 780, 1103, 713, 3184, 267, 649, 786, 2911, 827, 13989, 8213, 543, 1018, 596, 666, 798, 952, 2576, 596, 917, 1522, 581, 7231, 609, 713, 3390, 269, 1284, 786, 849, 1451, 930, 2994, 547, 3251, 2635, 543, 2057, 14432, 6208, 780, 1432, 568, 32573, 1782, 888, 2411, 13430, 5331, 2469, 547, 513, 1286, 333, 2526, 543, 7487, 513, 3014, 1141, 596, 666, 3094, 513, 2462, 28077, 3662, 676, 18530, 11084, 883, 30504, 269, 1411, 2628, 1269, 276, 547, 1404, 267, 855, 1310, 1896, 13290, 267, 596, 1869, 10093, 1405, 4465, 4376, 269, 2368, 1004, 1522, 1589, 267, 834, 296, 2731, 1616, 602, 9649, 22788, 11276, 7703, 256, 594, 3513, 2119, 1586, 10590, 901, 4743, 910, 16462, 547, 1832, 3843, 1317, 596, 3494, 596, 1223, 5555, 3094, 910, 568, 2147, 547, 1018, 13989, 568, 782, 827, 780, 294, 3711, 1782, 568, 950, 1004, 914, 2724, 610, 3407, 3688, 593, 2238, 609, 7334, 4093, 267, 971, 607, 25877, 3756, 630, 3697, 18921, 6191, 1070, 13169, 17914, 267, 610, 5026, 2621, 269, 2755, 972, 781, 2141, 513, 4960, 540, 10888, 267, 1034, 1004, 1439, 909, 9561, 811, 2724, 982, 789, 2744, 269, 1656, 3006, 267, 1004, 3136, 547, 13708, 1076, 1256, 950, 789, 666, 1405, 6488, 547, 6336, 1022, 811, 2724, 269, 2334, 781, 950, 13989, 666, 1831, 16609, 543, 2490, 883, 606, 8213, 780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 0, 29771, 547, 3371, 779, 519, 20958, 267, 938, 6214, 454, 18080, 12072, 585, 2079, 596, 4465, 1406, 1265, 9170, 3116, 563, 14188, 596, 269, 7490, 2638, 707, 28600, 547, 6166, 563, 32306, 707, 5955, 454, 763, 15525, 7245, 814, 9247, 2016, 3282, 2754, 9576, 10656, 26425, 519, 979, 8584, 3650, 547, 1376, 17656, 1055, 519, 5032, 540, 14522, 269, 7025, 2516, 723, 1279, 19230, 540, 519, 12178, 540, 3257, 865, 267, 855, 9193, 1397, 972, 949, 581, 607, 1454, 607, 476, 2420, 5479, 29054, 540, 3282, 543, 476, 11152, 18265, 12945, 3952, 540, 2067, 3154, 538, 519, 1858, 269, 7225, 344, 8381, 745, 742, 12909, 547, 4856, 531, 5096, 523, 1636, 540, 634, 1715, 3840, 8648, 563, 763, 15525, 7245, 814, 9247, 23498, 519, 1259, 547, 1450, 9576, 10656, 270, 9515, 961, 547, 2253, 17656, 585, 3282, 543, 3154, 538, 519, 11848, 7909, 713, 4832, 269, 898, 781, 835, 540, 519, 1034, 3702, 1113, 543, 1279, 268, 11867, 1243, 17656, 3664, 689, 519, 2229, 269, 26425, 568, 5275, 13170, 547, 16590, 538, 519, 1977, 6712, 540, 519, 932, 4157, 14024, 7256, 1055, 519, 5032, 540, 14522, 563, 20245, 2516, 723, 1279, 19230, 540, 519, 12178, 540, 3257, 865, 269, 6480, 23660, 1397, 972, 949, 581, 607, 1454, 607, 476, 2420, 5479, 29054, 540, 3282, 543, 476, 11152, 18265, 12945, 3952, 540, 2067, 3154, 538, 519, 1858, 563, 11847, 7163, 4856, 531, 5096, 523, 1636, 6227, 782, 713, 585, 634, 1715, 3840, 8648, 267, 543, 1352, 26082, 803, 689, 922, 6115, 17531, 563, 290, 7394, 5096, 523, 1636, 267, 10950, 563, 4131, 781, 2443, 948, 721, 1174, 513, 2370, 1732, 1018, 1858, 649, 2811, 6158, 827, 269, 22549, 1141, 568, 621, 267, 875, 1804, 568, 621, 267, 1018, 1281, 621, 1413, 899, 888, 290, 3036, 3201, 667, 16787, 2894, 303, 18306, 267, 634, 1715, 3840, 8648, 912, 297, 644, 344, 267, 621, 781, 513, 1360, 2462, 6712, 540, 519, 11848, 7909, 563, 763, 851, 602, 789, 2811, 3168, 693, 267, 1141, 26425, 781, 682, 1162, 616, 267, 616, 827, 476, 3583, 5195, 1055, 519, 5032, 540, 14522, 269, 898, 568, 513, 29814, 267, 2150, 31189, 1858, 269, 898, 568, 1753, 547, 9249, 540, 1896, 4686, 2249, 267, 1804, 11864, 267, 4955, 7992, 9249, 585, 16385, 267, 8023, 9249, 585, 9267, 6350, 563, 2005, 781, 849, 513, 1360, 30217, 748, 1858, 267, 3665, 15420, 267, 6329, 540, 909, 547, 476, 2004, 3952, 1164, 267, 4625, 13792, 936, 609, 4672, 538, 519, 5162, 269, 1924, 713, 568, 513, 1360, 6552, 267, 1360, 30217, 748, 267, 3592, 4625, 2150, 31189, 1858, 563, 3383, 267, 1620, 519, 2825, 1843, 687, 267, 649, 917, 26425, 814, 1185, 7965, 538, 519, 2250, 609, 930, 17656, 538, 2147, 6381, 269, 1548, 814, 26425, 1767, 621, 781, 2469, 547, 798, 547, 2149, 519, 1604, 888, 3383, 267, 713, 568, 711, 519, 1101, 942, 519, 7245, 814, 2016, 513, 979, 8584, 3650, 547, 26425, 547, 16590, 538, 519, 1858, 269, 898, 5795, 513, 11863, 547, 26425, 547, 1376, 3695, 547, 1294, 1018, 781, 538, 519, 1858, 563, 5445, 4682, 538, 267, 538, 4832, 540, 476, 1001, 273, 269, 1358, 941, 12735, 4240, 602, 2898, 1974, 609, 3106, 2042, 267, 10512, 2042, 269, 1358, 1185, 1079, 6551, 338, 602, 4682, 547, 2666, 602, 1185, 547, 581, 6287, 539, 2476, 269, 634, 7245, 1767, 602, 789, 9327, 1405, 556, 22568, 513, 11863, 547, 26425, 2394, 789, 1185, 8854, 1394, 267, 21407, 602, 789, 1131, 22010, 741, 3106, 543, 4238, 5773, 563, 1103, 519, 29291, 267, 519, 7245, 1185, 849, 2322, 8521, 1007, 17656, 3106, 6042, 602, 4896, 17656, 786, 723, 547, 1246, 269, 7025, 2516, 540, 1576, 1869, 2161, 267, 5103, 782, 891, 14767, 267, 782, 891, 1028, 584, 1734, 543, 1007, 6042, 593, 519, 851, 540, 519, 7245, 267, 713, 1858, 568, 1175, 865, 30217, 748, 547, 16590, 543, 865, 29814, 602, 789, 4250, 602, 621, 781, 1869, 606, 8009, 7996, 547, 4755, 563, 11039, 267, 1018, 3116, 1058, 649, 917, 827, 1946, 519, 7245, 814, 8815, 547, 798, 713, 286, 13813, 5777, 616, 6157, 1524, 269, 634, 3761, 568, 909, 563, 1432, 568, 519, 7245, 6031, 568, 513, 24117, 888, 11039, 267, 930, 540, 713, 568, 3710, 538, 563, 4322, 2127, 267, 891, 10480, 518, 958, 11262, 13980, 540, 2244, 941, 4421, 676, 519, 17312, 7245, 547, 581, 1743, 2683, 267, 547, 581, 682, 1078, 269, 1656, 865, 26425, 6976, 585, 922, 25755, 547, 16590, 1282, 519, 17312, 7245, 269, 1358, 4294, 585, 513, 11863, 547, 946, 602, 25755, 547, 979, 538, 543, 16590, 621, 563, 2252, 519, 15525, 7245, 1185, 16053, 602, 11863, 610, 1185, 267, 596, 917, 267, 1175, 4625, 14853, 539, 621, 1524, 610, 17792, 621, 267, 26425, 11613, 1131, 723, 647, 539, 269, 1403, 789, 941, 547, 723, 3144, 2476, 519, 11863, 267, 789, 1131, 723, 547, 2285, 26425, 1394, 519, 2724, 602, 621, 1185, 6976, 585, 621, 267, 865, 930, 540, 713, 729, 1175, 513, 2339, 540, 519, 15525, 7245, 1185, 547, 4308, 609, 1018, 729, 593, 922, 6676, 563, 26139, 267, 20866, 267, 2825, 2516, 616, 14281, 543, 6031, 267, 1223, 621, 723, 1336, 930, 2186, 540, 1259, 711, 547, 798, 713, 286, 898, 2731, 568, 1869, 513, 1360, 11495, 2443, 11495, 4062, 540, 713, 7022, 781, 2825, 9371, 563, 3719, 713, 1281, 267, 4856, 531, 5096, 523, 1636, 267, 713, 9247, 1579, 1513, 519, 1259, 585, 713, 547, 4755, 269, 1656, 649, 1174, 713, 4832, 267, 972, 568, 711, 1454, 3116, 602, 1223, 1491, 1747, 538, 519, 29291, 538, 519, 10470, 610, 11992, 547, 3247, 713, 888, 2414, 581, 2312, 267, 1018, 519, 7245, 5795, 2221, 729, 513, 19585, 13170, 269, 1358, 23498, 519, 2063, 2443, 4990, 540, 2034, 3562, 2000, 770, 543, 6157, 519, 2063, 2101, 19224, 548, 585, 26425, 547, 1847, 4464, 269, 898, 5795, 621, 593, 2783, 602, 26425, 1500, 2386, 621, 4991, 519, 1964, 540, 930, 540, 922, 2199, 543, 1533, 7400, 14998, 269, 634, 2754, 814, 1767, 621, 781, 3001, 4464, 609, 3257, 602, 269, 2334, 786, 581, 519, 6207, 3803, 563, 3719, 1004, 594, 723, 14437, 547, 1767, 713, 568, 1175, 4990, 540, 476, 4817, 2600, 540, 519, 1259, 972, 269, 1656, 519, 2462, 4062, 602, 3025, 729, 7996, 585, 547, 1294, 799, 1259, 621, 1131, 979, 729, 713, 3375, 676, 519, 15525, 7245, 563, 5472, 1318, 269, 898, 781, 513, 1650, 602, 3025, 568, 2443, 594, 917, 568, 8384, 563, 290, 7394, 5096, 523, 1636, 609, 634, 1715, 3840, 8648, 267, 9684, 596, 563, 12552, 865, 1454, 267, 7225, 344, 563, 19400, 519, 9509, 9210, 28964, 454, 28874, 3038, 3660, 1635, 281, 0, 9199, 1080, 543, 18567, 454, 763, 25227, 1975, 6308, 814, 513, 16541, 3697, 5920, 267, 6220, 519, 6093, 7592, 540, 513, 7187, 9742, 281, 1507, 16245, 10772, 267, 10053, 5595, 10359, 267, 543, 1225, 1194, 2766, 269, 1358, 616, 4009, 3491, 15251, 539, 267, 543, 1510, 608, 12000, 3130, 267, 2656, 543, 1769, 593, 741, 3952, 269, 4256, 5595, 10359, 267, 9967, 540, 513, 2110, 2571, 896, 1723, 520, 543, 10792, 2786, 9018, 10359, 827, 476, 272, 547, 476, 273, 6279, 1279, 267, 2488, 13471, 689, 519, 6777, 543, 4411, 267, 799, 2899, 4847, 873, 547, 6968, 24091, 896, 519, 4411, 652, 540, 2175, 563, 5649, 344, 547, 1294, 1018, 5243, 3514, 596, 1655, 286, 6875, 938, 2110, 7688, 547, 1265, 856, 2336, 293, 5987, 17349, 547, 17268, 454, 293, 5987, 17349, 547, 4033, 623, 1115, 454, 293, 5987, 17349, 547, 5899, 13377, 454, 292, 848, 540, 9751, 454, 11514, 25068, 281, 2755, 519, 4162, 5018, 1934, 949, 4749, 2099, 713, 9742, 267, 5243, 616, 2043, 4171, 14789, 543, 23079, 786, 4268, 269, 7490, 5077, 519, 10073, 3919, 585, 3877, 593, 513, 1808, 4620, 269, 0, 308, 2529, 269, 30814, 5082, 687, 910, 17564, 543, 5675, 11762, 454, 4322, 4901, 543, 1603, 2200, 8831, 1053, 262, 1565, 827, 875, 772, 2529, 269, 27504, 616, 11221, 543, 12836, 538, 2489, 269, 901, 1587, 2882, 281, 476, 1626, 4901, 3584, 593, 4305, 6486, 602, 666, 849, 581, 1031, 585, 1603, 4247, 267, 543, 519, 1482, 476, 1626, 3584, 593, 1367, 20898, 3817, 585, 1603, 10467, 269, 2353, 519, 2238, 31721, 1472, 476, 2190, 1898, 6863, 1913, 602, 786, 948, 1053, 1174, 875, 519, 1977, 16232, 9550, 1184, 1568, 563, 27077, 497, 7490, 4063, 912, 265, 589, 5616, 20000, 12814, 4528, 609, 519, 6863, 267, 2542, 267, 543, 1603, 2238, 568, 2139, 28313, 563, 265, 1452, 476, 273, 2200, 616, 3769, 538, 519, 772, 2529, 269, 30760, 11242, 1587, 267, 799, 3091, 476, 277, 3606, 2200, 585, 1565, 827, 519, 16232, 543, 824, 12836, 282, 596, 666, 1265, 856, 811, 28313, 563, 4910, 1830, 693, 513, 3794, 766, 912, 265, 1215, 606, 1977, 7022, 568, 11221, 563, 265, 476, 2190, 6863, 1913, 827, 12836, 538, 3013, 543, 519, 9550, 1184, 538, 519, 2136, 2276, 269, 630, 2791, 666, 1294, 519, 1913, 538, 519, 2859, 27084, 3296, 2630, 8094, 5472, 1053, 267, 1519, 2296, 5678, 22996, 693, 606, 13591, 1377, 540, 1893, 15334, 267, 945, 616, 1565, 827, 875, 12836, 538, 519, 2136, 2276, 960, 563, 265, 1411, 666, 946, 519, 476, 1626, 11609, 4305, 6486, 602, 2709, 4282, 1344, 827, 513, 1808, 2460, 540, 1528, 532, 606, 1977, 7022, 610, 519, 9550, 1184, 547, 1683, 707, 1053, 609, 6340, 610, 1603, 2259, 563, 265, 2422, 519, 476, 1626, 1603, 12987, 2443, 476, 272, 829, 2985, 543, 10483, 676, 606, 14745, 543, 1883, 1913, 2443, 547, 6218, 875, 1134, 1053, 666, 4431, 547, 1585, 2010, 540, 12987, 827, 519, 9550, 1184, 538, 519, 772, 2529, 563, 265, 634, 3769, 4879, 19875, 13071, 596, 3533, 543, 3362, 6218, 707, 1053, 685, 2854, 960, 563, 265, 4841, 666, 798, 519, 6340, 4305, 538, 8424, 610, 1507, 2516, 865, 596, 723, 8112, 950, 7598, 519, 2534, 563, 265, 4841, 666, 798, 519, 1603, 4305, 593, 741, 1378, 267, 538, 513, 6292, 267, 610, 538, 513, 1507, 1895, 267, 4470, 593, 707, 13283, 543, 2179, 540, 942, 2139, 563, 265, 634, 1603, 4305, 666, 581, 2944, 538, 1362, 267, 607, 6780, 267, 538, 513, 4099, 267, 607, 513, 6445, 518, 267, 543, 5924, 946, 609, 2038, 1710, 29913, 563, 1432, 596, 1205, 538, 713, 1587, 912, 26926, 483, 7305, 540, 12937, 585, 2656, 4704, 630, 272, 2985, 994, 26926, 483, 589, 11872, 547, 519, 11819, 3296, 609, 28706, 1344, 630, 272, 2985, 994, 26926, 483, 589, 1592, 540, 519, 661, 6369, 5871, 11759, 4441, 9619, 676, 713, 1587, 630, 272, 2985, 994, 26926, 483, 589, 3382, 2985, 585, 519, 4305, 6486, 267, 609, 476, 276, 10372, 585, 1210, 519, 4305, 6486, 543, 476, 276, 10372, 585, 1210, 519, 1603, 12987, 630, 272, 2985, 994, 26926, 483, 476, 1626, 4901, 3584, 593, 4305, 6486, 267, 476, 275, 3584, 829, 2985, 267, 609, 2592, 543, 1883, 1913, 543, 2453, 3769, 630, 275, 3817, 994, 26926, 483, 476, 1626, 3584, 630, 1492, 1482, 607, 1346, 1657, 264, 609, 2592, 543, 1883, 1913, 543, 2453, 3769, 267, 593, 1367, 3817, 585, 946, 607, 1603, 4247, 630, 1626, 3817, 994, 26926, 483, 700, 1441, 2985, 585, 3606, 1603, 538, 3210, 547, 519, 12987, 630, 272, 2985, 994, 26926, 483, 16214, 19875, 585, 12570, 1053, 262, 960, 630, 272, 2985, 994, 4322, 616, 519, 1883, 1913, 543, 2453, 1031, 538, 713, 4199, 281, 3440, 582, 267, 11134, 267, 524, 14072, 639, 267, 15007, 267, 15518, 622, 267, 9550, 267, 22305, 4851, 267, 3760, 267, 2797, 5428, 267, 7022, 267, 3119, 267, 11578, 267, 11347, 267, 6845, 1807, 267, 8917, 267, 543, 6115, 267, 667, 5861, 563, 5472, 519, 6340, 543, 1603, 3584, 1331, 2592, 602, 9414, 519, 3584, 7132, 1883, 1913, 543, 2453, 538, 519, 1106, 540, 4143, 6863, 1913, 547, 1489, 1053, 607, 789, 960, 269, 589, 5094, 20898, 2985, 568, 3769, 585, 1053, 945, 991, 811, 2230, 950, 1603, 741, 6114, 547, 519, 3584, 269, 1323, 4879, 19875, 568, 849, 3177, 865, 596, 666, 3362, 6218, 707, 1053, 262, 1603, 269, 4746, 3769, 538, 713, 1587, 568, 513, 2985, 602, 3091, 476, 276, 10372, 585, 1210, 519, 17564, 4199, 543, 476, 276, 10372, 585, 1210, 519, 5675, 4199, 269, 589, 1592, 540, 519, 661, 6369, 5871, 11759, 4441, 602, 713, 1587, 9607, 568, 3177, 593, 513, 5094, 2985, 585, 3610, 945, 960, 538, 2829, 602, 946, 519, 18938, 563, 4322, 4901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2511, 269, 769, 7073, 626, 3332, 267, 519, 1367, 568, 811, 4277, 982, 2486, 269, 634, 824, 946, 540, 13513, 568, 547, 17063, 1880, 1919, 602, 4440, 3100, 24631, 547, 8471, 4798, 269, 4813, 16117, 269, 17793, 343, 514, 3780, 568, 513, 28301, 3529, 602, 666, 3914, 476, 3374, 7397, 630, 12893, 10264, 264, 543, 2661, 909, 547, 476, 7742, 1296, 256, 18897, 5699, 2757, 538, 922, 946, 540, 13513, 267, 621, 11394, 547, 6655, 513, 2178, 2631, 540, 25713, 543, 8978, 640, 269, 20050, 543, 6698, 616, 3362, 4857, 676, 519, 4162, 7150, 2630, 269, 2755, 538, 519, 16222, 267, 13513, 729, 6743, 693, 547, 581, 513, 5114, 602, 4682, 1996, 4249, 602, 8604, 547, 18220, 17779, 543, 2067, 1143, 1247, 693, 519, 2490, 540, 519, 476, 736, 628, 11416, 269, 15331, 566, 269, 5047, 267, 32175, 2681, 20475, 922, 1378, 2495, 543, 13513, 607, 1134, 269, 29526, 729, 513, 3735, 13524, 10601, 1148, 3350, 269, 769, 3332, 267, 13513, 666, 1491, 1082, 3029, 267, 1519, 281, 476, 272, 269, 15742, 3615, 543, 2474, 24901, 1919, 799, 616, 1114, 689, 741, 21055, 2631, 269, 7316, 2442, 1893, 28279, 519, 1857, 609, 5837, 6386, 267, 13507, 626, 1893, 13290, 547, 2057, 971, 513, 5786, 269, 6736, 519, 2242, 5227, 676, 519, 28912, 4083, 598, 743, 1511, 1107, 12077, 267, 1818, 5939, 6189, 543, 2533, 811, 3015, 1107, 853, 269, 8834, 779, 3788, 796, 1662, 3139, 569, 759, 680, 754, 550, 269, 4014, 13507, 1235, 941, 711, 606, 6896, 1895, 267, 789, 3838, 930, 4162, 267, 835, 540, 799, 568, 533, 612, 574, 1143, 1107, 606, 6654, 16023, 538, 741, 10367, 269, 901, 10522, 602, 621, 1590, 581, 2189, 855, 2241, 538, 922, 6041, 269, 3203, 543, 15434, 1123, 267, 29526, 1700, 1323, 4367, 1923, 7650, 1923, 14168, 7778, 269, 634, 2856, 540, 513, 6648, 607, 513, 678, 1497, 547, 581, 29618, 1185, 922, 20297, 538, 519, 7073, 626, 1974, 269, 2991, 519, 1004, 540, 661, 516, 577, 7281, 539, 585, 948, 267, 2037, 330, 573, 340, 729, 2366, 676, 519, 10971, 547, 4339, 1864, 269, 18567, 269, 29062, 946, 513, 1507, 2179, 540, 3308, 1239, 547, 6655, 513, 10189, 540, 2495, 269, 9177, 568, 21091, 269, 476, 273, 269, 4635, 13513, 267, 519, 4162, 540, 519, 15265, 543, 3532, 3751, 16500, 31521, 327, 616, 17820, 547, 519, 5467, 269, 2913, 779, 723, 513, 1413, 693, 922, 4644, 543, 6698, 538, 873, 269, 1703, 616, 1082, 824, 5339, 3457, 899, 14165, 267, 782, 28375, 267, 782, 4288, 543, 14336, 800, 1489, 538, 519, 2504, 540, 13513, 269, 1656, 585, 713, 4128, 267, 972, 616, 1082, 4162, 540, 13513, 269, 29526, 268, 4039, 566, 609, 824, 1148, 5322, 269, 3502, 1543, 609, 1210, 7990, 543, 3337, 547, 5968, 741, 4606, 267, 3090, 626, 5159, 7630, 741, 15885, 609, 6835, 543, 1965, 582, 20143, 8100, 269, 29526, 729, 513, 3735, 13524, 10601, 1148, 3350, 540, 3943, 267, 6739, 543, 32068, 5169, 538, 6965, 543, 824, 6575, 5275, 547, 2099, 6207, 18408, 3090, 1227, 998, 14165, 673, 2592, 543, 1893, 5631, 607, 513, 5114, 1996, 2067, 1143, 543, 17779, 269, 898, 666, 3006, 581, 2352, 547, 2161, 2436, 606, 2278, 5497, 585, 1945, 547, 581, 12572, 610, 711, 269, 634, 6301, 18567, 540, 7073, 626, 9085, 10572, 1143, 269, 634, 7073, 626, 5830, 29689, 3615, 267, 1004, 267, 4025, 543, 2621, 609, 1713, 10096, 269, 29526, 2746, 539, 547, 6626, 2686, 21274, 1644, 547, 3621, 543, 5339, 623, 21627, 13659, 971, 607, 30527, 543, 7849, 1143, 267, 543, 519, 1893, 540, 519, 2442, 2046, 267, 3226, 607, 621, 7902, 538, 519, 1106, 540, 1655, 5498, 961, 619, 269, 6762, 1145, 540, 4095, 29526, 543, 21744, 21126, 267, 10289, 519, 4806, 543, 1361, 6945, 540, 589, 8471, 6240, 540, 6940, 2433, 17335, 3008, 2316, 25605, 6902, 9995, 26980, 281, 634, 3163, 1299, 11595, 19541, 676, 4095, 4659, 540, 5303, 267, 918, 9618, 698, 20580, 267, 3127, 267, 700, 25604, 14473, 13138, 4696, 296, 16739, 5442, 28960, 8656, 281, 645, 9680, 2562, 301, 2207, 24202, 21850, 29767, 630, 589, 667, 6938, 10499, 264, 15760, 590, 13263, 7417, 303, 15562, 2752, 7246, 269, 29526, 814, 2016, 1082, 824, 12021, 5159, 971, 607, 3798, 10542, 631, 4875, 267, 11977, 8738, 928, 11219, 2158, 267, 3092, 269, 634, 1079, 2968, 1390, 2828, 1310, 8165, 267, 543, 789, 4682, 593, 513, 3460, 547, 14299, 1524, 513, 10723, 524, 25729, 3529, 269, 29526, 2636, 5830, 547, 6655, 1919, 547, 741, 3988, 10564, 1227, 610, 18549, 2864, 982, 2348, 547, 2161, 873, 30739, 267, 799, 666, 1118, 5931, 3100, 811, 13857, 543, 1950, 269, 15942, 327, 732, 14492, 269, 30474, 2386, 594, 2879, 9285, 538, 6284, 950, 519, 1739, 1509, 324, 729, 1101, 3257, 519, 21448, 281, 594, 849, 2731, 16339, 1047, 2560, 15566, 2542, 834, 763, 8422, 9537, 540, 29526, 257, 29526, 267, 513, 29101, 6896, 5339, 543, 7499, 3350, 602, 12090, 609, 513, 1895, 540, 3943, 15023, 538, 519, 3735, 476, 866, 628, 2540, 267, 3262, 547, 7206, 543, 519, 16222, 267, 543, 6766, 519, 3864, 543, 1977, 2148, 2137, 540, 519, 476, 736, 628, 2540, 547, 8795, 5232, 269, 769, 713, 2376, 267, 596, 1131, 1205, 1344, 827, 824, 1148, 5322, 849, 971, 607, 282, 30527, 281, 1700, 29526, 1797, 15449, 622, 3615, 609, 513, 1808, 2495, 602, 568, 4744, 25630, 689, 519, 1483, 2495, 269, 29526, 269, 15394, 267, 13513, 568, 1031, 538, 1931, 547, 2285, 4514, 543, 811, 1713, 2495, 547, 2621, 267, 3615, 543, 3197, 2429, 519, 1257, 267, 796, 1518, 873, 267, 543, 2285, 1978, 25664, 725, 269, 476, 273, 269, 4706, 5810, 19806, 558, 930, 4374, 1354, 519, 12625, 540, 519, 5614, 269, 1677, 19584, 6298, 8598, 12975, 543, 519, 9962, 4950, 5488, 543, 811, 18172, 267, 5225, 1491, 513, 1906, 7643, 547, 22010, 707, 11422, 269, 1677, 581, 538, 853, 269, 8834, 779, 568, 547, 581, 1208, 16940, 538, 519, 4527, 540, 519, 7083, 543, 1010, 5783, 269, 1411, 666, 4647, 519, 1957, 676, 14467, 519, 7735, 1657, 269, 901, 3992, 6227, 519, 1646, 540, 2038, 4168, 1148, 269, 3212, 659, 1442, 13513, 14753, 540, 10305, 971, 607, 281, 12321, 1006, 282, 4591, 1465, 282, 30334, 282, 13772, 6888, 282, 10466, 282, 9576, 1399, 282, 3281, 6842, 282, 3212, 659, 1442, 568, 2808, 547, 581, 10143, 543, 513, 1434, 2014, 538, 1585, 4529, 269, 13259, 267, 13513, 269, 6298, 8598, 12975, 1100, 3476, 7028, 5769, 25817, 269, 1358, 616, 519, 605, 14620, 658, 5961, 4502, 513, 8536, 1913, 269, 6787, 621, 779, 538, 519, 6801, 267, 6537, 593, 513, 13946, 3774, 610, 538, 519, 21777, 3308, 1543, 267, 649, 1039, 971, 2495, 547, 938, 2792, 998, 519, 946, 543, 7664, 540, 4191, 269, 901, 13513, 568, 513, 5309, 593, 519, 4457, 1915, 476, 31878, 630, 345, 387, 494, 264, 799, 267, 607, 1134, 607, 2495, 6079, 267, 849, 1797, 834, 26160, 7428, 2580, 3976, 513, 4829, 5627, 865, 1082, 5452, 568, 513, 1129, 540, 905, 322, 1495, 640, 269, 8940, 6155, 29924, 24992, 14492, 270, 1862, 270, 18528, 2397, 1532, 15277, 268, 4150, 326, 800, 7146, 1606, 28248, 1143, 634, 6196, 2494, 543, 519, 7256, 11828, 1082, 1919, 543, 621, 2982, 1082, 12572, 1919, 1519, 282, 875, 8797, 519, 812, 568, 267, 875, 519, 3165, 568, 2147, 547, 1864, 538, 930, 12204, 269, 4706, 3762, 616, 28608, 543, 922, 19512, 616, 3109, 630, 684, 3697, 824, 2249, 540, 11849, 267, 799, 616, 2356, 6960, 1040, 769, 824, 1913, 267, 6698, 616, 513, 1259, 547, 5348, 3591, 1125, 513, 4320, 540, 1344, 269, 634, 2012, 968, 32188, 626, 892, 3294, 729, 1101, 4294, 676, 519, 10404, 14639, 5651, 2946, 553, 267, 945, 11827, 519, 2165, 547, 10646, 519, 3090, 1235, 689, 519, 1644, 1232, 611, 757, 540, 3332, 543, 540, 1148, 269, 590, 13446, 267, 12744, 568, 4867, 28998, 269, 29062, 616, 7436, 610, 3197, 1031, 547, 2099, 3615, 3252, 610, 3157, 269, 589, 1883, 547, 1620, 5931, 269, 13507, 626, 1641, 2339, 568, 3335, 6353, 676, 606, 1719, 538, 519, 1624, 738, 267, 519, 21693, 573, 267, 519, 5326, 1158, 267, 14264, 3273, 344, 267, 9409, 267, 543, 2669, 269, 2991, 519, 1004, 540, 661, 516, 577, 7281, 539, 585, 948, 267, 2037, 330, 573, 340, 729, 2366, 676, 519, 10971, 547, 4339, 1864, 269, 4746, 30140, 8886, 908, 267, 543, 606, 5140, 1259, 547, 9813, 622, 16994, 3988, 689, 519, 2673, 2542, 540, 5931, 269, 7073, 626, 5830, 13264, 1863, 540, 2025, 3029, 543, 2553, 269, 24436, 540, 519, 22691, 4829, 609, 519, 5452, 16802, 532, 8521, 941, 1419, 8288, 538, 5321, 547, 1655, 578, 12680, 543, 12196, 519, 23029, 609, 3875, 15556, 267, 606, 1271, 25246, 540, 2757, 4457, 2528, 1547, 1548, 616, 476, 276, 4162, 540, 13513, 602, 666, 581, 1336, 538, 3332, 286, 476, 272, 269, 769, 2474, 540, 1808, 1641, 2339, 267, 519, 13507, 1235, 5916, 3909, 7793, 6291, 267, 519, 829, 2091, 267, 519, 2144, 5328, 267, 543, 519, 1232, 611, 550, 269, 18567, 2986, 29526, 769, 634, 6196, 2494, 1656, 634, 7256, 269, 1879, 596, 24044, 547, 1865, 519, 2048, 9418, 2042, 16224, 596, 2461, 1818, 606, 13429, 602, 5310, 972, 568, 1100, 1448, 269, 2755, 713, 2681, 2306, 519, 8768, 4190, 538, 2470, 267, 621, 849, 20475, 519, 2631, 540, 28370, 543, 28665, 269, 4014, 922, 8677, 723, 5594, 1114, 18707, 267, 32175, 8768, 1152, 2501, 538, 835, 1292, 2681, 281, 13711, 269, 29526, 267, 610, 5033, 7821, 607, 621, 779, 1634, 538, 2930, 10580, 267, 4249, 971, 513, 1804, 851, 538, 1480, 2792, 1317, 1004, 616, 7683, 3168, 585, 4514, 2495, 269, 29526, 666, 2285, 513, 5339, 960, 811, 17381, 543, 2681, 543, 666, 1118, 519, 2495, 540, 519, 960, 4514, 269, 898, 1058, 3533, 543, 11593, 581, 18931, 267, 27416, 610, 15422, 268, 898, 1590, 711, 581, 2352, 585, 2576, 547, 3314, 519, 3337, 540, 519, 3090, 610, 1129, 269, 12559, 6324, 640, 269, 901, 267, 1932, 267, 568, 513, 14323, 3090, 585, 519, 6041, 540, 8788, 543, 4126, 269, 901, 568, 16609, 585, 519, 1353, 540, 1148, 1686, 4534, 4352, 621, 568, 513, 2413, 3350, 267, 1082, 12206, 11716, 13513, 950, 789, 1865, 2413, 1143, 10502, 1317, 519, 6101, 4018, 527, 2572, 540, 519, 2511, 798, 711, 3100, 547, 581, 2413, 269, 29062, 1039, 2157, 540, 2495, 267, 2870, 3178, 538, 513, 1257, 269, 29526, 568, 2731, 606, 7214, 1106, 540, 4082, 1143, 269, 1411, 3580, 1265, 20807, 532, 267, 12357, 5515, 267, 9409, 2021, 267, 16750, 28749, 543, 1629, 976, 267, 543, 11052, 540, 3023, 543, 2669, 269, 29526, 568, 1419, 1031, 676, 5830, 547, 3986, 741, 1603, 563, 291, 612, 514, 1546, 674, 4068, 2037, 21676, 548, 584, 267, 667, 612, 514, 1546, 631, 719, 517, 267, 670, 7702, 790, 631, 18863, 549, 19158, 11726, 5886, 267, 6428, 18311, 22094, 1512, 700, 10052, 267, 10658, 8599, 2037, 717, 13440, 267, 4273, 1833, 12910, 1400, 324, 853, 273, 338, 2676, 17442, 1170, 518, 796, 6085, 18311, 0, 2252, 596, 1616, 547, 1332, 2635, 19337, 2371, 267, 621, 568, 1271, 547, 946, 519, 1318, 13226, 269, 17667, 13226, 666, 581, 513, 1390, 3903, 585, 713, 3483, 1317, 621, 3085, 1406, 2270, 6464, 602, 949, 2800, 707, 2371, 269, 898, 849, 2488, 5567, 538, 513, 1106, 602, 1568, 1134, 609, 707, 3037, 543, 2337, 2226, 519, 3666, 540, 519, 14471, 602, 2661, 538, 621, 563, 16391, 545, 13226, 585, 19337, 4054, 568, 519, 1655, 1259, 547, 2327, 602, 707, 2371, 616, 3478, 519, 5567, 789, 991, 547, 8853, 269, 634, 3037, 538, 707, 4677, 949, 723, 930, 540, 891, 5567, 267, 855, 952, 596, 1616, 547, 1118, 2386, 602, 707, 2030, 568, 3478, 513, 2407, 9570, 543, 602, 621, 568, 21716, 607, 1454, 540, 519, 5567, 607, 2009, 267, 5214, 13226, 568, 513, 1590, 563, 16391, 545, 18168, 616, 1500, 689, 5214, 2326, 602, 723, 1044, 11003, 539, 543, 6404, 609, 824, 2326, 269, 1452, 2326, 666, 1331, 23226, 267, 3662, 2472, 267, 3762, 267, 543, 824, 5214, 2339, 269, 634, 1184, 540, 24600, 9397, 1524, 891, 2326, 883, 741, 2596, 2609, 865, 602, 789, 666, 581, 1031, 676, 2371, 269, 901, 1184, 849, 2337, 519, 3037, 1831, 811, 15417, 865, 602, 621, 786, 1489, 2635, 2208, 563, 2691, 7446, 606, 5214, 13226, 585, 19337, 4054, 267, 1413, 585, 835, 1500, 689, 7504, 610, 10800, 23226, 2094, 713, 1826, 11148 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2904, 534, 7089, 3590, 3096, 26145, 543, 2798, 547, 799, 519, 15609, 8655, 513, 10230, 1871, 269, 1358, 849, 8655, 513, 3090, 547, 4642, 538, 15609, 2147, 547, 513, 6079, 610, 7387, 563, 4415, 519, 7792, 2904, 534, 2338, 3349, 596, 666, 1265, 875, 1142, 1003, 1968, 568, 2854, 269, 1215, 568, 519, 2904, 534, 2338, 946, 513, 2990, 531, 10149, 525, 2711, 1297, 532, 1062, 267, 855, 814, 2947, 607, 606, 25581, 3490, 2094, 519, 1297, 540, 2798, 538, 513, 1297, 666, 711, 3914, 2947, 267, 543, 519, 1297, 540, 3515, 1369, 513, 1297, 666, 711, 3914, 2185, 563, 763, 2904, 534, 1297, 1062, 568, 811, 3617, 547, 798, 9273, 538, 513, 3728, 543, 2500, 1259, 982, 519, 4936, 1297, 1062, 563, 1607, 3349, 3568, 519, 2347, 1305, 540, 2904, 534, 27766, 689, 476, 272, 547, 476, 1911, 271, 543, 689, 476, 1220, 271, 547, 476, 23417, 280, 267, 835, 676, 835, 267, 609, 741, 12428, 5973, 757, 538, 8918, 267, 538, 476, 277, 3817, 267, 543, 568, 538, 7300, 3898, 1547, 2422, 519, 10957, 3211, 4732, 924, 547, 1930, 519, 7300, 269, 0, 268, 1403, 707, 2780, 1202, 6699, 596, 267, 621, 814, 1044, 454, 17126, 539, 676, 519, 1007, 595, 529, 636, 6993, 21431, 20620, 309, 6400, 1325, 1068, 338, 267, 676, 623, 7701, 12229, 630, 10674, 2517, 4178, 4877, 663, 553, 21510, 2264, 2593, 454, 32743, 5090, 267, 5130, 476, 2918, 267, 476, 1220, 276, 910, 623, 7701, 299, 11274, 814, 9571, 519, 5920, 540, 595, 529, 636, 6993, 2676, 320, 21431, 4171, 1034, 23243, 8984, 568, 602, 621, 1202, 6699, 519, 3593, 454, 2421, 18071, 519, 1739, 5048, 593, 5496, 834, 24168, 25758, 4888, 9517, 296, 5588, 2437, 1247, 454, 2452, 532, 606, 12463, 274, 8301, 3758, 602, 28197, 519, 1482, 8360, 563, 290, 529, 636, 6993, 666, 1152, 3262, 8850, 2066, 2780, 5121, 269, 1403, 513, 3060, 454, 12528, 8255, 519, 3758, 8876, 595, 529, 636, 6993, 267, 713, 21431, 12215, 3294, 896, 519, 2012, 454, 19061, 311, 20216, 324, 547, 519, 3597, 15682, 540, 519, 3838, 11479, 593, 519, 2780, 563, 4263, 519, 1482, 942, 267, 621, 10525, 513, 6885, 5627, 519, 1257, 281, 834, 24168, 25758, 4888, 454, 2839, 296, 5588, 2437, 543, 7683, 4249, 519, 27069, 12463, 274, 8301, 3758, 519, 21431, 814, 454, 2181, 16227, 6383, 593, 519, 1062, 563, 290, 529, 636, 6993, 849, 7475, 519, 3157, 10362, 547, 28456, 3292, 543, 824, 8668, 454, 9798, 3156, 267, 6028, 519, 2780, 7925, 547, 4323, 689, 824, 454, 341, 21905, 610, 21190, 269, 1548, 781, 811, 267, 621, 5932, 1896, 13366, 538, 519, 8837, 454, 8802, 3588, 538, 1931, 547, 2327, 602, 621, 568, 2196, 8164, 519, 2780, 6238, 909, 269, 0, 268, 547, 2759, 610, 7941, 676, 8429, 998, 610, 2066, 281, 634, 19814, 12969, 338, 519, 4884, 563, 268, 547, 3444, 267, 607, 3515, 610, 12904, 563, 268, 16387, 269, 547, 723, 835, 610, 811, 2798, 538, 1455, 281, 12969, 532, 3515, 563, 27670, 540, 12969, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1001, 279, 454, 14300, 689, 519, 5680, 585, 12969, 454, 19853, 2729, 616, 9991, 6306, 267, 855, 789, 12969, 538, 4277, 267, 13249, 267, 543, 4051, 633, 2081, 11053, 539, 16399, 779, 1546, 8117, 23397, 17972, 589, 476, 272, 20587, 518, 1306, 4706, 15552, 454, 9802, 476, 277, 267, 476, 1001, 275, 454, 1607, 568, 606, 2025, 1922, 5831, 539, 8265, 4339, 538, 513, 1533, 1141, 519, 21281, 9549, 267, 27685, 25025, 267, 543, 519, 1715, 3162, 782, 12969, 2529, 1926, 10491, 9335, 674, 697, 538, 3689, 10588, 6837, 1308, 12729, 454, 18550, 476, 1240, 267, 476, 1001, 274, 454, 4322, 10617, 782, 12969, 538, 519, 4655, 538, 717, 18054, 1063, 5840, 543, 8621, 553, 5861, 1180, 328, 781, 8422, 22367, 7719, 454, 20464, 476, 1428, 267, 476, 1220, 280, 454, 1692, 789, 1590, 12969, 267, 3444, 543, 954, 2719, 548, 1142, 824, 781, 25057, 256, 288, 5930, 543, 3400, 341, 2787, 454, 19365, 6723, 14208, 6016, 454, 4322, 25057, 723, 835, 4183, 538, 1455, 281, 789, 782, 12969, 519, 3950, 540, 519, 3618, 7868, 9452, 540, 519, 1261, 822, 839, 454, 27144, 853, 1177, 749, 11831, 454, 16248, 3515, 616, 1500, 547, 12969, 713, 1647, 1899, 267, 607, 3254, 538, 519, 1469, 8160, 2153, 30166, 8132, 454, 295, 269, 670, 269, 6489, 7717, 454, 5445, 12969, 693, 661, 267, 799, 1448, 4564, 519, 834, 3225, 10329, 540, 519, 8060, 1701, 763, 10819, 540, 5369, 673, 3194, 454, 288, 19358, 550, 568, 513, 1899, 799, 18953, 513, 7455, 267, 855, 1281, 711, 12969, 621, 269, 2304, 5811, 540, 519, 22676, 18521, 1901, 618, 454, 295, 269, 681, 269, 7591, 339, 1676, 454, 268, 547, 7941, 267, 2759, 267, 610, 1665, 1055, 676, 8429, 998, 610, 2066, 454, 268, 630, 525, 335, 540, 9897, 264, 547, 3444, 630, 26421, 824, 994, 268, 13004, 630, 21865, 1165, 331, 676, 609, 264, 547, 723, 835, 610, 811, 2798, 538, 1455, 630, 5976, 1776, 12122, 994, 290, 1704, 281, 689, 5824, 954, 5913, 5953, 516, 547, 7941, 267, 689, 954, 268, 1341, 3813, 5953, 516, 547, 2759, 454, 17504, 18882, 543, 3778, 585, 12969, 454, 13679, 271, 338, 267, 689, 5824, 12969, 636, 630, 5408, 12969, 630, 341, 4700, 1916, 15697, 661, 22029, 9218, 267, 9736, 476, 1001, 271, 19958, 22489, 0, 268, 519, 476, 1428, 628, 4484, 540, 519, 12355, 9904, 563, 268, 519, 27901, 3280, 6719, 676, 713, 4484, 563, 27670, 540, 1482, 16223, 454, 283, 12355, 521, 5953, 1889, 16223, 267, 28330, 547, 521, 5953, 332, 12112, 646, 6462, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1001, 279, 454, 268, 519, 476, 1428, 628, 4484, 538, 519, 12355, 9904, 630, 403, 350, 264, 6037, 3438, 730, 607, 521, 454, 3891, 11119, 267, 12777, 281, 513, 1489, 0, 2026, 3744, 3136, 547, 10536, 10373, 5666, 540, 22308, 543, 23020, 1239, 689, 1585, 7103, 267, 789, 22991, 1265, 2933, 21947, 676, 5946, 540, 1634, 2497, 855, 28430, 1599, 11652, 20547, 1346, 13655, 949, 2154, 513, 3114, 2861, 2048, 325, 5109, 16939, 17483, 10527, 6602, 540, 1507, 6675, 602, 12622, 547, 543, 7519, 519, 1599, 540, 513, 1808, 3077, 568, 606, 1271, 1900, 538, 3114, 7350, 267, 2523, 585, 14605, 6353, 5946, 2223, 6941, 1772, 7776, 631, 12011, 1794, 13403, 267, 513, 11001, 609, 19743, 5797, 25431, 14642, 3385, 779, 2319, 693, 519, 681, 31082, 2894, 11628, 3163, 4659, 538, 654, 752, 334, 269, 968, 2171, 1289, 891, 1507, 6675, 2048, 6798, 641, 13681, 525, 685, 3034, 13146, 960, 689, 631, 12011, 1794, 13403, 543, 14642, 3385, 9727, 513, 3810, 2500, 4640, 585, 7114, 971, 18465, 13681, 525, 267, 799, 789, 723, 1031, 547, 2697, 20127, 540, 519, 1480, 19266, 514, 3940, 272, 269, 623, 597, 514, 568, 24721, 2066, 513, 3309, 5044, 540, 7103, 267, 543, 814, 1044, 17895, 8271, 5532, 547, 2860, 30279, 3599, 538, 3425, 282, 2705, 267, 2370, 568, 1634, 827, 875, 713, 3940, 1522, 1827, 10510, 11144, 563, 763, 22602, 3812, 4837, 15942, 5627, 513, 1804, 5044, 540, 1507, 6675, 267, 799, 789, 1287, 5701, 609, 10408, 21555, 5627, 19266, 514, 3940, 535, 4310, 547, 667, 338, 16446, 267, 513, 24638, 11090, 269, 1635, 7114, 519, 9634, 28729, 12006, 676, 519, 13042, 3940, 267, 789, 941, 2111, 547, 24680, 538, 593, 513, 11134, 11140, 609, 15151, 1164, 23506, 543, 11006, 25505, 585, 19266, 514, 267, 799, 789, 3957, 7552, 1156, 2643, 7623, 589, 630, 307, 4942, 589, 1916, 11947, 22822, 7293, 2079, 7152, 602, 570, 4942, 589, 7696, 338, 3294, 7184, 1369, 519, 19266, 514, 3940, 267, 543, 631, 12011, 1794, 13403, 12034, 713, 607, 6169, 540, 519, 10626, 540, 741, 9584, 4640, 269, 968, 2467, 814, 1044, 513, 2243, 540, 2436, 14270, 1343, 4857, 1210, 3114, 5044, 4485, 3335, 12622, 693, 13719, 7252, 2223, 646, 3081, 269, 968, 5978, 1353, 25495, 602, 3114, 5044, 2409, 666, 2697, 6675, 602, 12622, 547, 12617, 22836, 538, 5946, 3034, 6097, 569, 267, 570, 4942, 589, 5526, 547, 957, 607, 606, 2500, 6198, 28166, 269, 9253, 534, 5448, 2281, 5701, 609, 713, 7623, 4951, 513, 6825, 5786, 538, 1591, 9194, 267, 543, 713, 1198, 5526, 547, 8451, 689, 570, 4942, 589, 24975, 17522, 540, 519, 5872, 1063, 19266, 514, 543, 519, 2860, 5829, 3940, 645, 743, 274, 269, 1635, 7421, 10408, 5444, 4082, 12632, 267, 519, 3173, 13604, 20114, 2963, 602, 19266, 514, 543, 645, 743, 274, 12840, 547, 6467, 593, 519, 590, 2793, 296, 273, 5444, 267, 799, 568, 1634, 547, 3565, 547, 10510, 11144, 543, 22037, 1738, 2208, 563, 4322, 4681, 6542, 519, 1761, 540, 18465, 549, 2041, 9584, 607, 513, 4640, 585, 26500, 6456, 3940, 3252, 269, 631, 12011, 1794, 13403, 543, 14642, 3385, 18783, 602, 570, 4942, 589, 786, 1683, 513, 3407, 1907, 585, 2104, 13753, 540, 519, 1909, 540, 19266, 514, 538, 824, 11871, 543, 949, 1256, 6961, 3730, 585, 4974, 1644, 5946, 689, 824, 7103, 563, 763, 7222, 2278, 585, 713, 5031, 568, 1759, 693, 519, 25095, 7821, 12524, 267, 681, 31082, 2894, 11628, 3163, 4659, 454, 272, 269, 631, 12011, 1794, 13403, 267, 594, 1421, 3244, 714, 340, 267, 590, 1421, 21411, 636, 3120, 267, 670, 1421, 28635, 698, 328, 267, 590, 269, 1299, 14642, 3385, 267, 670, 269, 589, 1507, 2173, 1961, 9908, 28166, 2982, 602, 19266, 514, 21560, 9194, 540, 27441, 2281, 269, 7186, 11906, 10334, 476, 277, 267, 476, 5780, 278, 1700, 6858, 274, 630, 1001, 271, 1916, 326, 549, 17376, 1923, 3194, 607, 807, 1382, 3377, 454, 288, 3209, 10991, 17193, 6087, 19585, 968, 2889, 12888, 22545, 6658, 892, 538, 30900, 454, 736, 269, 5400, 269, 1001, 279, 1923, 3353, 27528, 10713, 28059, 667, 637, 6577, 454, 20458, 8177, 3194, 538, 30567, 1478, 281, 9540, 12518, 1996, 14066, 31515, 454, 1704, 269, 5400, 269, 1001, 279, 1923, 2274, 30519, 714, 10713, 28059, 30567, 1478, 454, 2467, 616, 4867, 1390, 13922, 585, 4396, 15581, 9075, 269, 1358, 2270, 1100, 5277, 2694, 602, 1223, 13451, 610, 6952, 3595, 269, 1280, 713, 2601, 267, 789, 798, 711, 2154, 9023, 543, 616, 2808, 547, 581, 1454, 10930, 267, 811, 6325, 267, 543, 3476, 9434, 982, 2757, 16864, 23760, 9075, 269, 808, 6686, 28727, 3744, 723, 1631, 5189, 513, 1007, 1523, 602, 2636, 14768, 909, 547, 4557, 2053, 3152, 1282, 12123, 543, 17579, 532, 982, 5892, 4330, 538, 519, 3332, 269, 634, 6454, 729, 6913, 676, 513, 968, 2193, 591, 892, 3903, 540, 2326, 609, 513, 1445, 593, 9846, 1434, 17356, 269, 2353, 3334, 941, 1500, 689, 19552, 7135, 267, 799, 616, 1134, 20083, 1312, 26947, 543, 2964, 1227, 563, 763, 1970, 1699, 568, 2808, 835, 540, 519, 7887, 23665, 538, 519, 1646, 540, 4396, 15581, 9075, 269, 898, 568, 519, 2601, 1946, 519, 9075, 1491, 513, 5266, 1279, 2483, 6124, 1374, 1907, 8850, 5932, 6289, 739, 4450, 476, 274, 291, 268, 2745, 17074, 585, 3593, 3766, 1508, 4778, 454, 14722, 1459, 960, 693, 20380, 590, 5456, 16165, 4338, 295, 10554, 454, 7197, 540, 519, 3615, 649, 1294, 616, 11954, 676, 23416, 267, 855, 1210, 23416, 814, 11393, 281, 971, 4778, 666, 28201, 267, 4853, 23416, 616, 1419, 6757, 267, 543, 2483, 14722, 693, 519, 2160, 540, 4993, 267, 11968, 13353, 1459, 1007, 1382, 593, 513, 8049, 17184, 7613, 1634, 607, 834, 3369, 626, 6840, 257, 4534, 1360, 1970, 4908, 21168, 2483, 14722, 1020, 1101, 1907, 547, 946, 3684, 1565, 2409, 547, 12337, 2095, 1472, 2170, 1947, 1374, 762, 476, 274, 291, 3615, 269, 15484, 786, 581, 4843, 693, 713, 1032, 779, 20380, 590, 5456, 16165, 4338, 295, 10554, 563, 2691, 8030, 610, 9858, 1616, 547, 1449, 519, 7098, 17871, 3601, 540, 519, 9241, 2966, 3337, 540, 513, 1286, 267, 20987, 267, 610, 824, 1843, 267, 789, 1131, 7363, 2203, 2483, 12867, 689, 570, 308, 3400, 345, 543, 741, 2872, 4891, 723, 30792, 513, 1158, 1101, 281, 519, 18634, 540, 513, 8773, 22306, 267, 1164, 18286, 5916, 12123, 1062, 630, 290, 5425, 264, 585, 3167, 6472, 602, 6087, 3126, 12123, 540, 6517, 538, 1585, 18736, 7158, 563, 17471, 3747, 585, 3167, 6472, 568, 9472, 547, 4473, 25921, 281, 676, 476, 1708, 276, 267, 519, 1297, 540, 1007, 6174, 7373, 5928, 568, 4397, 547, 3914, 476, 1839, 2929 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1118, 713, 7503, 2016, 513, 1297, 540, 9343, 912, 258, 5569, 6460, 30415, 1257, 267, 703, 562, 305, 3298, 11850, 258, 6460, 2891, 5183, 24688, 3201, 23360, 7644, 5058, 2580, 476, 274, 264, 1058, 2132, 834, 5183, 295, 2793, 303, 11862, 2862, 294, 312, 7644, 6231, 5035, 8827, 912, 825, 1948, 7711, 8873, 513, 5569, 454, 825, 1219, 6460, 4311, 267, 521, 267, 562, 305, 3298, 2187, 1038, 952, 562, 305, 3298, 2652, 476, 272, 912, 2018, 2132, 521, 454, 1038, 759, 815, 834, 4840, 1038, 3259, 815, 7003, 4433, 994, 1038, 585, 4737, 538, 1535, 9792, 3799, 305, 3298, 2187, 2018, 3296, 815, 476, 271, 454, 2018, 1247, 3296, 2999, 3259, 1315, 630, 273, 2608, 562, 305, 3298, 910, 476, 273, 264, 1341, 476, 272, 912, 3546, 952, 4737, 2652, 476, 271, 912, 7386, 4994, 815, 630, 273, 2608, 562, 305, 3298, 910, 476, 273, 264, 2608, 3296, 454, 7386, 952, 4994, 2999, 3259, 912, 13376, 759, 6834, 521, 27709, 316, 3097, 3546, 8640, 4737, 2652, 562, 305, 3298, 910, 476, 272, 912, 7386, 4994, 815, 630, 273, 2608, 562, 305, 3298, 910, 476, 273, 264, 2608, 3296, 1341, 562, 305, 3298, 910, 476, 272, 454, 7386, 952, 4994, 2999, 3259, 912, 13376, 759, 6834, 521, 27709, 2639, 3546, 3116, 912, 7386, 1101, 19340, 815, 630, 273, 2608, 562, 305, 3298, 910, 476, 273, 264, 2608, 3296, 1341, 4737, 454, 7386, 952, 1101, 19340, 2999, 3259, 912, 13376, 759, 6834, 521, 314, 14140, 19340, 2639, 7386, 2034, 19340, 815, 630, 273, 2608, 562, 305, 3298, 910, 476, 273, 264, 2608, 630, 7611, 1341, 476, 272, 264, 910, 4737, 454, 7386, 952, 2034, 19340, 2999, 3259, 912, 13376, 759, 6834, 521, 314, 16149, 19340, 2639, 3546, 3296, 6834, 476, 272, 454, 1038, 2132, 759, 692, 3698, 1292, 10031, 825, 521, 815, 8827, 4590, 825, 1820, 834, 303, 21724, 257, 952, 834, 5183, 295, 2793, 303, 11862, 2862, 294, 312, 7644, 257, 2652, 521, 26769, 3200, 2891, 5183, 24688, 3201, 23360, 7644, 5058, 2580, 476, 274, 264, 3116, 834, 293, 9229, 5016, 10852, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1847, 689, 519, 30715, 18372, 1695, 267, 799, 267, 952, 3811, 267, 1131, 9585, 519, 1101, 693, 2547, 267, 543, 1360, 7654, 519, 8545, 540, 891, 3615, 269, 15593, 573, 534, 267, 9935, 267, 4607, 9753, 267, 5988, 476, 736, 628, 267, 547, 1376, 593, 1010, 1390, 986, 573, 1996, 10557, 781, 10618, 267, 676, 1259, 540, 22118, 577, 7921, 267, 543, 1287, 576, 547, 6861, 519, 16456, 543, 12324, 538, 1169, 4287, 267, 865, 607, 547, 11904, 873, 24631, 547, 519, 30280, 563, 306, 615, 573, 534, 6410, 689, 12736, 17998, 593, 519, 476, 2767, 628, 540, 5988, 267, 609, 1079, 15523, 540, 29816, 267, 1297, 532, 827, 476, 276, 267, 1822, 1142, 269, 2201, 519, 476, 272, 560, 540, 4728, 267, 646, 17956, 519, 8115, 267, 799, 519, 30280, 13986, 547, 6861, 267, 2066, 519, 1647, 23643, 540, 519, 30715, 18372, 1695, 267, 693, 6778, 595, 3863, 5112, 267, 543, 9411, 853, 13550, 517, 593, 519, 476, 273, 323, 267, 519, 10546, 2348, 1427, 8972, 593, 10158, 5886, 28386, 269, 634, 1338, 646, 14593, 593, 547, 10158, 5886, 28386, 267, 1141, 646, 1336, 519, 10546, 538, 3196, 538, 606, 31737, 2990, 267, 896, 2637, 269, 7216, 269, 9453, 16069, 1256, 547, 1118, 513, 11028, 18590, 267, 606, 7525, 4323, 729, 13175, 267, 519, 2990, 729, 5645, 267, 543, 476, 272, 267, 7785, 14586, 267, 22221, 4773, 540, 25044, 267, 609, 9640, 543, 1309, 1170, 976, 2347, 267, 476, 1220, 530, 30368, 543, 6887, 16041, 609, 7449, 14571, 267, 543, 454, 572, 1203, 8696, 6370, 22286, 4711, 267, 941, 9676, 269, 634, 14586, 267, 896, 606, 26603, 677, 540, 476, 272, 267, 4335, 2367, 267, 941, 2366, 1394, 547, 12736, 17998, 269, 634, 1338, 15593, 573, 534, 22415, 1117, 593, 4077, 331, 2714, 525, 6807, 267, 21006, 1198, 1302, 519, 16456, 543, 13123, 607, 646, 4682, 267, 799, 1747, 646, 6603, 593, 519, 476, 274, 323, 540, 4728, 269, 3371, 646, 7283, 1079, 2395, 267, 21006, 519, 16456, 4724, 29430, 543, 22118, 577, 7921, 267, 1519, 519, 1804, 4401, 13123, 936, 519, 5087, 543, 5045, 585, 802, 540, 519, 681, 643, 13860, 5211, 267, 543, 32261, 519, 12625, 540, 1010, 14884, 269, 901, 2556, 8488, 3361, 1864, 547, 10205, 519, 2856, 540, 13830, 22118, 577, 7921, 269, 2201, 519, 6640, 540, 519, 476, 277, 628, 540, 4728, 267, 12270, 1010, 3196, 883, 1079, 9587, 267, 15593, 573, 534, 2366, 835, 547, 8857, 1206, 6807, 267, 950, 576, 621, 22415, 1117, 909, 519, 6276, 5211, 22575, 547, 1715, 10369, 267, 21006, 1169, 9376, 267, 543, 538, 1082, 4025, 519, 4871, 540, 519, 12324, 269, 3245, 1934, 513, 3196, 729, 14593, 856, 8389, 514, 713, 6241, 547, 13660, 580, 340, 1749, 6807, 267, 547, 3489, 15896, 540, 519, 8115, 2066, 519, 6276, 5211, 693, 602, 1747, 267, 855, 621, 8959, 269, 634, 10546, 14616, 621, 593, 519, 1935, 540, 938, 10136, 269, 1358, 849, 14616, 519, 8115, 2066, 519, 5757, 693, 10434, 342, 6506, 6807, 269, 634, 824, 6241, 6410, 1524, 519, 16456, 4724, 22118, 577, 7921, 267, 21006, 621, 607, 2484, 607, 2549, 615, 560, 7040, 5600, 267, 28465, 5195, 689, 22118, 577, 7921, 282, 1287, 576, 2066, 519, 2197, 267, 796, 1746, 609, 519, 6241, 693, 1715, 10369, 269, 634, 5757, 1373, 1360, 1164, 267, 15593, 573, 534, 781, 533, 15193, 976, 1131, 711, 3914, 2066, 621, 282, 543, 519, 30280, 2348, 10032, 519, 13123, 676, 799, 646, 1185, 12479, 547, 3444, 519, 5757, 543, 1205, 593, 519, 3162, 2515, 21805, 827, 12426, 6807, 267, 543, 6861, 621, 547, 2561, 558, 16201, 343, 7040, 5600, 267, 519, 1152, 3364, 2451, 585, 1864, 729, 547, 2132, 547, 12736, 17998, 269, 610, 10880, 513, 3490, 693, 519, 6519, 5600, 269, 18641, 267, 538, 16827, 781, 6644, 267, 646, 8359, 519, 8545, 563, 17239, 2207, 2839, 3198, 24202, 24639, 6717, 8577, 293, 8085, 17241, 2839, 563, 5804, 1715, 10369, 15593, 573, 534, 3576, 909, 1010, 1899, 540, 15292, 267, 1739, 519, 12324, 4724, 29430, 267, 21006, 1169, 9376, 2390, 621, 267, 543, 5969, 519, 8492, 16382, 1316, 27809, 267, 547, 513, 1448, 5216, 5195, 7532, 540, 3619, 5255, 1633, 267, 23622, 519, 2898, 3196, 693, 12052, 593, 519, 476, 1015, 628, 540, 4728, 269, 3371, 646, 1964, 539, 835, 1554, 267, 543, 2366, 16827, 1344, 540, 1010, 1141, 629, 8083, 267, 543, 513, 7662, 585, 7727, 547, 2743, 1864, 693, 834, 19669, 5600, 269, 634, 3377, 6603, 16827, 593, 519, 476, 1321, 628, 540, 4728, 267, 543, 646, 771, 6312, 3481, 5612, 606, 26462, 3196, 547, 1205, 15896, 540, 6519, 5600, 267, 543, 10288, 4464, 7727, 269, 25021, 689, 12052, 538, 513, 4287, 547, 21279, 29430, 267, 547, 2282, 12891, 1633, 13749, 267, 15593, 573, 534, 18084, 519, 3345, 543, 3162, 17555, 23117, 267, 543, 1310, 2348, 10032, 782, 519, 13123, 543, 1082, 5195, 540, 519, 16456, 267, 8399, 539, 1524, 519, 5087, 4871, 540, 519, 31656, 684, 4486, 547, 6519, 5600, 269, 901, 1747, 729, 6603, 593, 519, 476, 866, 628, 540, 4728, 267, 543, 607, 1010, 29816, 1185, 1185, 1279, 543, 3170, 580, 5224, 960, 1354, 873, 267, 936, 5162, 9897, 267, 15593, 573, 534, 1336, 621, 2556, 547, 1964, 543, 1201, 527, 693, 6519, 5600, 269, 2201, 519, 476, 2190, 628, 540, 4728, 267, 15593, 573, 534, 6410, 1586, 267, 18084, 519, 6276, 5211, 693, 13643, 781, 8092, 532, 267, 543, 4646, 513, 22882, 609, 519, 8136, 540, 519, 8000, 558, 659, 538, 4395, 540, 22642, 7921, 267, 593, 519, 476, 2767, 628, 269, 4438, 713, 1847, 267, 2637, 269, 18103, 2366, 4229, 547, 3382, 519, 3444, 902, 540, 519, 19529, 1695, 558, 4176, 563, 7049, 269, 16827, 267, 538, 1010, 1867, 267, 2829, 267, 834, 7474, 538, 4728, 267, 476, 5908, 276, 267, 2637, 269, 2052, 2421, 729, 3001, 606, 7850, 3196, 1996, 16353, 267, 543, 519, 5044, 21108, 621, 454, 8974, 2637, 269, 16299, 13177, 282, 2608, 7338, 1923, 795, 729, 11319, 856, 1079, 1804, 543, 1134, 268, 2073, 12912, 29816, 30295, 267, 835, 689, 5664, 17906, 267, 896, 2637, 269, 14355, 267, 1996, 519, 10546, 781, 4105, 2798, 538, 594, 17665, 267, 519, 824, 689, 5101, 17906, 267, 896, 2637, 269, 853, 517, 17507, 4724, 22118, 577, 7921, 267, 1765, 663, 7011, 1782, 519, 14230, 540, 1010, 2139, 4229, 267, 4549, 2218, 547, 18086, 4238, 267, 538, 5101, 17906, 6902, 325, 2637, 269, 15593, 573, 534, 781, 29816, 729, 693, 6519, 5600, 282, 519, 20679, 540, 519, 8000, 558, 659, 543, 6276, 941, 29270, 519, 10546, 267, 896, 10557, 267, 538, 1010, 1219, 1878, 594, 540, 29430, 543, 22642, 7921, 282, 2637, 9538, 15593, 2006, 609, 1010, 20679, 267, 18674, 1412, 347, 676, 602, 540, 2637, 269, 5576, 1993, 1752, 267, 729, 693, 795, 717, 9529, 28386, 282, 2637, 269, 15352, 729, 1818, 21339, 585, 513, 5614, 5859, 1996, 519, 10546, 896, 17340, 2421, 8055, 543, 12313, 267, 7178, 540, 519, 14967, 282, 543, 2637, 269, 670, 4545, 1442, 729, 23622, 513, 3196, 538, 519, 25610, 540, 12736, 17998, 267, 795, 795, 9098, 267, 547, 9856, 1996, 12289, 267, 610, 547, 7500, 1055, 13208, 267, 607, 1522, 6961, 9948, 2556, 4799, 4002, 519, 476, 2190, 628, 540, 4728, 267, 16827, 9783, 1010, 1279, 543, 5402, 5423, 5528, 585, 513, 2489, 3350, 540, 519, 20679, 5665, 1996, 29430, 269, 1358, 941, 9859, 547, 717, 839, 269, 2725, 1228, 267, 18103, 267, 795, 454, 265, 634, 3350, 729, 7154, 593, 519, 476, 736, 628, 540, 4728, 267, 689, 10783, 28150, 525, 543, 10783, 21546, 269, 5053, 10783, 729, 16539, 593, 519, 476, 2767, 628, 267, 729, 10514, 12023, 4989, 476, 279, 628, 267, 543, 1775, 17355, 18050, 676, 519, 30280, 519, 1482, 3781, 269, 10783, 1923, 29965, 569, 729, 5645, 676, 14213, 267, 4989, 476, 280, 628, 267, 543, 519, 1775, 594, 17665, 5211, 729, 3976, 8118, 585, 1935, 593, 16353, 689, 519, 5087, 269, 2201, 519, 3781, 540, 4989, 476, 1556, 628, 267, 519, 1775, 2749, 729, 17355, 18050, 267, 543, 3144, 15896, 540, 676, 938, 262, 4229, 519, 1985, 1554, 269, 1280, 513, 811, 561, 1638, 2272, 267, 543, 519, 851, 3144, 676, 519, 26010, 267, 1294, 667, 8500, 21486, 1188, 781, 834, 23219, 585, 555, 339, 5742, 2437, 2019, 269, 2192, 1421, 6032, 269, 476, 6924, 274, 268, 6858, 274, 563, 325, 1280, 16827, 781, 5618, 5469, 540, 519, 30295, 896, 795, 27231, 269, 14355, 543, 853, 517, 17507, 267, 1294, 1010, 834, 27751, 2437, 6032, 269, 476, 4037, 563, 663, 15593, 573, 534, 267, 543, 616, 2016, 538, 2407, 538, 16827, 781, 1867, 630, 335, 269, 476, 8618, 1040, 1358, 616, 849, 4502, 17874, 676, 519, 5467, 607, 20209, 9760, 16827, 781, 2312, 1145, 540, 17748, 267, 6378, 1145, 540, 3483, 267, 543, 519, 1439, 799, 646, 4397, 3432, 1176, 547, 12492, 563, 7049, 269, 10557, 267, 2348, 6603, 513, 1448, 540, 1390, 4965, 538, 2543, 547, 1010, 16548, 267, 543, 1134, 3222, 602, 646, 1590, 798, 1945, 5612, 267, 17251, 2390, 1818, 606, 4323, 593, 16827, 781, 3515, 267, 799, 267, 952, 3811, 267, 1131, 1102, 2224, 930, 1007, 1272, 543, 1648, 883, 1010, 10136, 267, 543, 2061, 519, 31934, 9390, 687, 799, 941, 2921, 1747, 3592, 1169, 1554, 269, 634, 14213, 729, 1500, 267, 4728, 476, 1839, 628, 267, 538, 4395, 540, 519, 476, 280, 628, 24767, 267, 799, 4371, 689, 519, 2561, 558, 16201, 343, 5211, 2509, 16827, 781, 2451, 269, 2311, 1554, 19874, 267, 1079, 540, 519, 31111, 15523, 546, 14414, 10393, 538, 2390, 938, 1303, 3402, 906, 593, 670, 732, 781, 10830, 267, 543, 2348, 5645, 10783, 853, 1737, 2006, 267, 543, 513, 851, 540, 519, 1899, 547, 519, 1318, 543, 2451, 540, 621, 267, 3964, 2933, 972, 585, 513, 5618, 1974, 267, 543, 5828, 519, 15963, 2390, 519, 11105, 9075, 269, 1452, 941, 693, 2899, 14460, 676, 938, 2367, 543, 13026, 676, 519, 30280, 269, 6744, 539, 676, 519, 2534, 540, 10783, 670, 2444, 718, 267, 519, 1985, 593, 519, 2451, 540, 10783, 853, 1737, 2006, 267, 519, 10546, 941, 8572, 547, 8399, 2417, 593, 2901, 1166, 1678, 282, 543, 950, 19134, 571, 340, 1111, 781, 6498, 3357, 909, 267, 519, 30280, 941, 14593, 856, 540, 853, 1737, 2006, 883, 519, 2230, 936, 799, 789, 1185, 2097, 267, 543, 941, 7086, 14688, 1065, 6160, 539, 267, 5176, 476, 273, 267, 1822, 14586, 1373, 3144, 269, 3776, 2530, 729, 24239, 32732, 7166, 267, 476, 29876, 20754, 267, 543, 476, 2004, 277, 7508, 269, 634, 31111, 3350, 5828, 856, 547, 581, 513, 5821, 543, 513, 6180, 4328, 835, 1932, 267, 543, 678, 748, 539, 909, 938, 2367, 547, 3606, 2534, 269, 2637, 269, 2725, 1228, 693, 2899, 10288, 454, 1492, 824, 24767, 547, 4434, 543, 1745, 519, 30280, 538, 741, 9757, 18651, 1206, 269, 623, 5241, 4464, 267, 789, 9676, 543, 4371, 519, 10546, 781, 9244, 31737, 4584, 564, 1899, 538, 4395, 540, 519, 476, 273, 323, 543, 476, 277, 628, 24767, 267, 543, 476, 279, 4097, 14586, 269, 634, 10546, 1500, 26525, 8942, 547, 1427, 820, 713, 1899, 267, 855, 1510, 1967, 269, 3776, 2530, 538, 4395, 540, 891, 729, 15823, 26690, 7166, 267, 476, 279, 5038, 20754, 267, 543, 476, 21709, 7508, 269, 634, 10546, 781, 2530, 538, 7166, 543, 20754, 729, 1454, 3152, 563, 294, 7949, 267, 540, 4171, 4160, 18245, 519, 2009, 9101, 540, 10557, 267, 649, 723, 9275, 1657, 267, 630, 335, 269, 476, 276, 2918, 264, 729, 540, 6644, 267, 602, 676, 3001, 856, 693, 713, 942, 1510, 8488, 267, 646, 1131, 2322, 1010, 7952, 538, 1732, 2783, 585, 13287, 267, 543, 1131, 693, 2547, 267, 676, 519, 9552, 540, 519, 8355, 6807, 10003, 267, 29472, 519, 5834, 540, 10557, 781, 543, 3627, 8725, 781, 4229, 267, 543, 2014, 519, 30280, 547, 10205, 1454, 1570, 602, 789, 1522, 6382, 4688, 269, 22353, 267, 7525, 3268, 941, 3144, 585, 713, 3483, 269, 2637, 269, 18103, 729, 2366, 267, 593, 519, 3781, 540, 519, 476, 2767, 555, 540, 4728, 267, 609, 1079, 15523, 896, 18582, 2548, 543, 21960, 2284, 267, 543, 21025, 20044, 773, 781, 29816, 267, 547, 24051, 7815, 781, 14840, 267, 799, 729, 6603, 693, 21554, 593, 519, 476, 3066, 628, 269, 634, 1554, 1354, 267, 15593, 573, 534, 4607, 1010, 5528, 547, 1847, 267, 799, 646, 1705, 267, 609, 1010, 26672, 573, 29816, 3196, 540, 476, 280, 267, 1822, 2367, 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 ]
[ 630, 273, 269, 275, 543, 476, 272, 269, 278, 6515, 267, 6606, 1070, 6466, 519, 824, 2249, 1705, 711, 1397, 1022, 1689, 609, 1604, 269, 15661, 1185, 519, 4102, 1198, 593, 6978, 9403, 267, 609, 1312, 803, 20760, 535, 525, 26443, 543, 25543, 30666, 21064, 678, 344, 1122, 14993, 2141, 2348, 3648, 9962, 6978, 19059, 982, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 6466, 10825, 9733, 1355, 21064, 678, 344, 1122, 14993, 2141, 1185, 7522, 518, 6978, 19059, 630, 8993, 269, 476, 274, 1916, 309, 1068, 673, 2208, 2557, 563, 288, 1713, 1604, 6398, 2249, 5872, 729, 1336, 585, 7299, 2208, 2557, 630, 8993, 269, 476, 274, 1040, 21023, 2406, 267, 607, 519, 2825, 2175, 2968, 811, 12145, 267, 7299, 2208, 2557, 630, 309, 16165, 264, 729, 3648, 4389, 585, 782, 2249, 8947, 538, 713, 1353, 269, 7201, 6099, 2175, 543, 3379, 609, 9733, 1355, 21064, 678, 344, 1122, 14993, 630, 272, 269, 2190, 4699, 6440, 323, 6629, 272, 1070, 25543, 30666, 21064, 678, 344, 1122, 14993, 543, 5993, 678, 344, 1122, 14993, 4951, 3648, 2362, 966, 16165, 630, 272, 269, 2568, 4699, 6440, 323, 6629, 272, 543, 476, 272, 269, 4391, 4699, 6440, 323, 6629, 272, 267, 6606, 1070, 803, 20760, 535, 525, 26443, 5340, 13974, 630, 272, 269, 3066, 4699, 6440, 323, 6629, 272, 1070, 6466, 10825, 9733, 1355, 21064, 678, 344, 1122, 14993, 1185, 3648, 2539, 966, 16165, 630, 272, 269, 6187, 4699, 6440, 323, 6629, 272, 1040, 7201, 1016, 9953, 2711, 543, 12145, 2175, 267, 2208, 2557, 729, 4389, 676, 811, 982, 476, 2004, 260, 3379, 609, 519, 19993, 2175, 543, 3604, 1063, 2249, 2968, 1447, 10423, 630, 8993, 269, 476, 274, 1040, 7201, 12145, 2175, 267, 5993, 678, 344, 1122, 14993, 7152, 513, 3152, 966, 16165, 982, 10825, 21064, 678, 344, 1122, 14993, 267, 6466, 972, 941, 1100, 3604, 1063, 1022, 824, 1611, 16198, 563, 13828, 1604, 543, 2249, 1185, 1713, 2360, 593, 804, 6235, 6556, 267, 6466, 519, 1100, 2362, 1931, 5872, 729, 1459, 585, 713, 4756, 269, 1306, 971, 267, 2164, 616, 4843, 543, 5941, 607, 1292, 2360, 1152, 269, 589, 1713, 5786, 538, 804, 6235, 6556, 729, 4767, 950, 519, 2825, 6724, 6410, 689, 6099, 547, 1016, 9953, 2711, 543, 1287, 547, 12145, 2418, 630, 8993, 269, 476, 275, 1040, 13018, 267, 20336, 6556, 8519, 676, 476, 4366, 260, 3001, 689, 5113, 476, 272, 547, 5113, 476, 273, 543, 676, 476, 1428, 260, 689, 5113, 476, 273, 547, 5113, 476, 274, 269, 589, 591, 3042, 936, 519, 2825, 2175, 630, 8993, 269, 476, 275, 1070, 2185, 540, 519, 2249, 5340, 13974, 547, 1142, 824, 2348, 11729, 689, 476, 271, 269, 6924, 8406, 6440, 9492, 6629, 273, 6440, 323, 6629, 272, 585, 803, 20760, 535, 525, 26443, 547, 476, 271, 269, 10619, 8406, 6440, 9492, 6629, 273, 6440, 323, 6629, 272, 585, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 6466, 5993, 678, 344, 1122, 14993, 7152, 513, 3648, 2362, 804, 6235, 6556, 982, 824, 2249, 630, 271, 269, 9262, 8406, 6440, 9492, 6629, 273, 6440, 323, 6629, 272, 1916, 288, 1713, 1604, 6398, 2249, 5872, 729, 4767, 585, 27020, 9654, 630, 8993, 269, 476, 274, 1040, 634, 27020, 9654, 2418, 941, 711, 1114, 1063, 5113, 476, 272, 543, 5113, 476, 273, 269, 769, 4334, 267, 950, 519, 2825, 2175, 2968, 12145, 267, 27020, 9654, 3648, 17379, 585, 1142, 2249, 267, 609, 519, 9868, 540, 25543, 30666, 21064, 678, 344, 1122, 14993, 267, 799, 4951, 513, 5266, 3586, 1871, 2066, 519, 1114, 2825, 2175, 269, 7201, 1016, 9953, 2711, 543, 12145, 2175, 267, 1614, 540, 519, 2249, 4951, 27020, 9654, 2418, 711, 3648, 1114, 689, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 6466, 5993, 678, 344, 1122, 14993, 10268, 513, 3648, 2539, 27020, 9654, 1871, 982, 824, 2249, 563, 2690, 782, 21823, 7318, 538, 713, 1353, 267, 9864, 27864, 1419, 1185, 513, 2318, 1198, 593, 1312, 31062, 23286, 6871, 543, 3355, 23286, 3432, 269, 1717, 267, 585, 1346, 2249, 538, 799, 3803, 23286, 2557, 729, 1447, 982, 476, 3199, 260, 630, 332, 1737, 578, 535, 525, 26443, 267, 25543, 30666, 21064, 678, 344, 1122, 14993, 267, 543, 9733, 1355, 10825, 678, 344, 1122, 14993, 1070, 13327, 5338, 2773, 1131, 2693, 581, 4824, 676, 2810, 694, 5338, 2557, 269, 15788, 267, 950, 6236, 1312, 3803, 23286, 6871, 543, 23286, 3432, 267, 519, 1655, 2773, 729, 4767, 693, 476, 3445, 260, 12094, 585, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 5993, 678, 344, 1122, 14993, 267, 543, 10825, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 6466, 693, 476, 3583, 260, 12094, 585, 803, 20760, 535, 525, 26443, 543, 25543, 30666, 21064, 678, 344, 1122, 14993, 563, 4322, 4681, 2303, 602, 3579, 5498, 1783, 21823, 616, 1732, 9862, 982, 3636, 5498, 1783, 21823, 547, 10351, 3729, 896, 1970, 1769, 2175, 269, 769, 513, 3105, 1353, 14236, 519, 1769, 4170, 585, 536, 1069, 644, 698, 14993, 6079, 23286, 267, 808, 749, 545, 16017, 1696, 620, 269, 630, 1220, 280, 264, 7152, 602, 23286, 540, 1614, 28212, 729, 4299, 676, 1769, 543, 519, 9803, 11944, 729, 4767, 609, 476, 2568, 260, 543, 476, 3445, 260, 12094, 5574, 269, 5381, 2164, 941, 5833, 676, 2098, 4157, 1696, 620, 269, 630, 1220, 276, 264, 538, 17857, 593, 1990, 9081, 328, 698, 14993, 9236, 476, 2412, 9077, 476, 4792, 9077, 543, 476, 5952, 260, 12094, 5574, 269, 634, 4589, 11943, 602, 3811, 10661, 538, 606, 13327, 17660, 32005, 949, 581, 19847, 676, 519, 5786, 538, 1769, 693, 519, 3037, 2627, 563, 763, 1101, 3815, 8159, 519, 1967, 540, 13327, 5338, 568, 10661, 25525, 267, 799, 5673, 593, 519, 2702, 540, 5452, 547, 10351, 3729, 6385, 269, 769, 938, 1353, 267, 5993, 678, 344, 1122, 14993, 729, 519, 16595, 10351, 3215, 2249, 267, 543, 803, 20760, 535, 525, 26443, 729, 519, 3500, 652, 269, 1452, 2164, 616, 5812, 609, 3105, 2090, 602, 3379, 23286, 4162, 540, 1114, 3579, 5498, 1783, 21823, 543, 1336, 5993, 678, 344, 1122, 14993, 6932, 5488, 982, 824, 21823, 7318, 267, 1519, 21064, 678, 344, 1122, 14993, 630, 295, 650, 1696, 620, 1421, 476, 2735, 276, 282, 24156, 1696, 620, 1421, 476, 3192, 275, 1040, 3776, 4681, 849, 1489, 2164, 676, 3004, 28500, 1696, 620, 269, 630, 1001, 273, 264, 689, 513, 476, 274, 4458, 1353, 593, 13327, 5338, 10661, 540, 2947, 3579, 5498, 1783, 2249, 269, 634, 4589, 1336, 602, 519, 5207, 3039, 3382, 630, 323, 25018, 539, 476, 272, 610, 476, 273, 3275, 1310, 13327, 5338, 4266, 264, 729, 17820, 676, 1312, 5993, 543, 21064, 678, 344, 1122, 14993, 267, 6466, 803, 20760, 535, 525, 26443, 3177, 519, 9803, 10661, 269, 769, 513, 13354, 1353, 593, 2947, 3579, 5498, 1783, 21823, 267, 27672, 517, 1696, 620, 269, 630, 1220, 278, 264, 4951, 602, 1312, 9733, 1355, 543, 25543, 30666, 21064, 678, 344, 1122, 337, 13293, 1185, 3152, 23286, 25525, 982, 803, 20760, 535, 525, 26443, 543, 7313, 320, 24735, 529, 700, 269, 538, 14151, 543, 23916, 269, 3776, 2164, 2303, 803, 20760, 535, 525, 26443, 1131, 711, 581, 606, 4998, 2249, 585, 946, 538, 1949, 8506, 4028, 23286, 563, 16449, 519, 2188, 602, 3313, 32005, 24124, 2298, 267, 6978, 9403, 568, 835, 540, 519, 1034, 1271, 585, 1312, 12716, 543, 2930, 3344, 269, 769, 519, 1459, 1353, 267, 6978, 8700, 729, 711, 6766, 676, 2584, 6016, 1675, 8390, 585, 25543, 30666, 21064, 678, 344, 1122, 14993, 267, 5993, 678, 344, 1122, 14993, 267, 543, 10825, 9733, 1355, 21064, 678, 344, 1122, 14993, 267, 11021, 602, 713, 16023, 568, 17401, 6417, 676, 4719, 2188, 630, 295, 599, 267, 476, 1960, 271, 1040, 769, 4334, 267, 803, 20760, 535, 525, 26443, 543, 9733, 1355, 21064, 678, 344, 1122, 14993, 4951, 606, 6397, 2333, 540, 6978, 9403, 3001, 689, 513, 476, 1691, 554, 630, 9953, 2711, 2175, 264, 547, 476, 1015, 554, 630, 11357, 9953, 2711, 264, 2584, 6016, 1675, 269, 589, 2147, 1267, 729, 5892, 13006, 585, 667, 716, 2643, 529, 1350, 9593, 1092, 700, 269, 6738, 896, 513, 476, 1626, 268, 610, 476, 2190, 3620, 2584, 6016, 1675, 630, 305, 1803, 267, 476, 3422, 277, 1040, 1717, 267, 519, 2773, 540, 803, 20760, 535, 525, 26443, 543, 9733, 1355, 21064, 678, 344, 1122, 14993, 538, 1016, 9953, 2711, 2175, 8604, 547, 581, 18811, 748, 3379, 609, 602, 540, 519, 824, 2249, 7318, 538, 713, 1353, 543, 609, 519, 4704, 3332, 602, 3622, 6054, 513, 7522, 518, 6978, 9403, 609, 519, 6175, 540, 2584, 6016, 1675, 630, 295, 599, 267, 476, 1960, 271, 282, 681, 1803, 267, 476, 3422, 277, 1040, 898, 568, 4502, 15663, 602, 267, 896, 519, 1482, 2825, 2175, 267, 1312, 803, 20760, 535, 525, 26443, 543, 25543, 30666, 21064, 678, 344, 1122, 14993, 2141, 1185, 3648, 9962, 6978, 19059, 267, 3379, 609, 519, 9733, 1355, 21064, 678, 344, 1122, 14993, 269, 634, 1249, 602, 25543, 30666, 28212, 1185, 9962, 3762, 982, 9733, 1355, 28212, 729, 5892, 4767, 538, 21064, 678, 344, 1122, 14993, 630, 306, 1872, 12011, 4821, 267, 476, 1220, 276, 1040, 654, 3187, 6978, 19059, 723, 1044, 2404, 609, 3152, 7091, 28995, 4222, 267, 11021, 789, 1223, 723, 2147, 2360, 593, 5957, 10892, 630, 9515, 1301, 534, 543, 2142, 731, 267, 476, 3192, 276, 1916, 7212, 966, 16165, 729, 1336, 547, 581, 1134, 17047, 609, 1312, 32005, 24124, 2298, 543, 5860, 267, 713, 16023, 568, 711, 2141, 513, 1434, 13525, 540, 519, 2949, 32005, 24124, 2773, 630, 303, 1941, 16619, 1696, 620, 1421, 476, 1001, 277, 1040, 901, 729, 9672, 676, 938, 1353, 267, 538, 799, 10825, 9733, 1355, 21064, 678, 344, 1122, 14993, 17820, 1312, 519, 9803, 966, 16165, 543, 519, 5207, 804, 6235, 11729, 543, 27020, 9654, 2418, 269, 1452, 17804, 2164, 941, 1813, 547, 519, 10825, 2208, 4356, 540, 5252, 541, 14205, 656, 267, 799, 568, 6825, 569, 1114, 689, 519, 8913, 1111, 539, 2208, 6208, 540, 519, 824, 21823, 269, 11778, 689, 519, 1459, 1353, 267, 9672, 602, 1279, 6377, 2126, 630, 17162, 307, 264, 3648, 8476, 6371, 4463, 630, 22069, 327, 13774, 267, 476, 1960, 272, 1040, 634, 2601, 568, 4440, 602, 1279, 6377, 2584, 6016, 1675, 338, 3870, 575, 756, 321, 699, 961, 545, 3679, 10282, 543, 713, 267, 538, 2490, 267, 8992, 9496, 543, 6565, 20436, 566, 630, 3891, 728, 1696, 620, 1421, 476, 2735, 276, 282, 808, 2863, 339, 10042, 1696, 620, 1421, 476, 1960, 278, 282, 18000, 543, 1627, 1014, 267, 476, 1220, 274, 1916, 5141, 6235, 11729, 267, 1927, 609, 966, 16165, 267, 941, 6394, 547, 2708, 519, 2208, 4162, 540, 891, 4244, 21823, 3448, 547, 1852, 630, 10972, 30666, 21064, 678, 344, 1122, 14993, 1040, 769, 938, 1353, 267, 782, 2249, 941, 8449, 4299, 676, 4389, 2584, 6016, 1675, 543, 2837, 269, 17957, 267, 824, 4589, 723, 4767, 602, 519, 1198, 540, 2584, 6016, 1675, 8390, 593, 20336, 2504, 9867, 1851, 2249, 543, 8677, 630, 295, 599, 543, 1261, 728, 267, 476, 2735, 275, 282, 3752, 327, 13774, 267, 476, 1960, 272, 1040, 3752, 327, 13774, 630, 1960, 272, 264, 1336, 602, 14242, 540, 2208, 538, 31298, 307, 3379, 609, 2110, 6377, 5574, 630, 16256, 307, 264, 729, 3152, 585, 645, 668, 639, 538, 1069, 529, 2274, 903, 338, 1421, 667, 716, 2643, 529, 1350, 9593, 1092, 700, 1421, 543, 1079, 28212, 540, 7313, 320, 929, 520, 18424, 700, 269, 982, 585, 1912, 548, 636, 929, 520, 1619, 700, 1421, 14080, 1075, 320, 929, 520, 18424, 21972, 338, 1421, 543, 835, 5252, 541, 540, 623, 269, 929, 520, 18424, 269, 634, 2278, 607, 8282, 891, 3604, 1851, 21823, 547, 519, 1114, 20173, 540, 5169, 267, 31552, 513, 6793, 1554, 26319, 3210, 538, 2249, 540, 7187, 21823, 3379, 609, 7013, 2010, 563, 26670, 766, 618, 540, 3819, 2597, 538, 31298, 307, 568, 513, 1455, 6364, 540, 1082, 2090, 5342, 593, 5993, 24799, 267, 543, 8913, 1111, 539, 543, 29127, 25959, 748, 21064, 21823, 630, 295, 599, 267, 476, 1960, 271, 1040, 16959, 2597, 12374, 538, 31298, 307, 941, 21246, 958, 607, 8282, 547, 6978, 7269, 602, 9104, 919, 585, 513, 4389, 2121, 21939, 2557, 267, 3976, 4611, 538, 606, 2799, 6337, 24678, 4390, 829, 2030, 630, 3849, 4461, 543, 18999, 2023, 267, 476, 1220, 276, 282, 3752, 327, 13774, 267, 476, 1960, 272, 1040, 5047, 267, 1256, 1498, 3762, 543, 11489, 619, 540, 1114, 3579, 5498, 1783, 21823, 616, 3812, 811, 6385, 896, 2110, 6377, 2175 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30115, 543, 15040, 538, 12590, 8466, 5980, 779, 5299, 540, 281, 13391, 13704, 267, 715, 314, 11936, 4940, 2296, 543, 4678, 710, 20113, 585, 3427, 5174, 9081, 267, 25004, 7160, 267, 11785, 281, 570, 269, 18307, 564, 267, 585, 15656, 29928, 267, 476, 15094, 271, 563, 4467, 29232, 281, 589, 1762, 9478, 25303, 8761, 513, 22488, 543, 986, 3387, 9417, 1190, 2427, 538, 1010, 1219, 864, 618, 540, 835, 540, 1010, 681, 2135, 12064, 5824, 3427, 9499, 269, 1677, 513, 2413, 20626, 25303, 267, 945, 729, 827, 12964, 1296, 2025, 950, 646, 5206, 713, 267, 2501, 2066, 607, 1945, 540, 513, 32592, 550, 538, 21882, 513, 6704, 5152, 693, 713, 2085, 563, 2005, 568, 5310, 811, 24669, 950, 6236, 602, 25303, 678, 1380, 564, 13212, 267, 519, 3099, 2919, 676, 25303, 779, 4651, 543, 7654, 22516, 585, 741, 681, 2135, 12064, 15250, 1841, 267, 1185, 606, 29099, 6653, 6492, 543, 1164, 4006, 1543, 602, 26857, 513, 627, 25891, 476, 280, 260, 4568, 2182, 524, 3187, 269, 25303, 678, 1380, 1115, 9921, 323, 3735, 543, 16768, 2429, 519, 5162, 267, 1818, 873, 14909, 5370, 585, 2199, 4123, 543, 13143, 547, 519, 12144, 563, 23219, 1066, 678, 1380, 1115, 616, 1869, 6738, 607, 513, 6561, 9742, 269, 1358, 666, 581, 12349, 693, 513, 1906, 6705, 6990, 538, 519, 3735, 2887, 269, 634, 3099, 568, 3006, 1572, 681, 2135, 12064, 678, 1380, 1115, 267, 11785, 678, 1380, 1115, 267, 610, 25303, 533, 2089, 1231, 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 ]
[ 316, 568, 7183, 912, 4848, 19677, 11519, 14456, 14728, 316, 815, 24296, 9285, 8368, 24961, 4590, 453, 453, 9529, 1125, 815, 7003, 4311, 11519, 14456, 14728, 7481, 453, 19677, 11519, 14456, 14728, 6012, 330, 316, 815, 642, 454, 453, 14851, 7003, 4311, 11519, 14456, 14728, 8079, 3436, 2025, 21653, 912, 4848, 19677, 11519, 333, 6834, 476, 272, 692, 22592, 9041, 321, 3089, 564, 5091, 601, 14403, 4311, 267, 795, 267, 737, 2187, 453, 453, 321, 3089, 564, 815, 476, 1582, 11519, 14456, 14728, 2639, 453, 14851, 19943, 568, 7183, 912, 4848, 453, 571, 1047, 6206, 13286, 3488, 7659, 18438, 281, 1412, 1341, 1065, 337, 17347, 4917, 453, 453, 23437, 19943, 25208, 6540, 22592, 6449, 3438, 9191, 1345, 2187, 453, 22610, 19943, 538, 1582, 11519, 14456, 912, 4848, 14851, 19943, 568, 711, 7183, 912, 15235, 22610, 1883, 538, 19943, 912, 20930, 453, 344, 1752, 1883, 692, 258, 5276, 2625, 532, 454, 5035, 1160, 2041, 295, 1662, 24961, 263, 295, 1662, 24961, 26015, 2187, 453, 18257, 295, 1662, 4786, 8045, 609, 5276, 2625, 532, 585, 16580, 6571, 269, 18411, 453, 318, 16787, 288, 6579, 815, 1843, 3890, 1948, 5033, 339, 1400, 7436, 6753, 540, 3105, 25533, 687, 692, 22592, 9041, 529, 318, 19989, 4311, 267, 795, 2187, 453, 453, 18257, 27987, 6936, 952, 4994, 795, 568, 2139, 538, 3349, 269, 18411, 453, 16596, 1582, 11519, 14456, 14728, 316, 568, 7183, 610, 1582, 11519, 14456, 14728, 316, 568, 1160, 2041, 295, 1662, 24961, 11519, 16787, 288, 6579, 692, 22592, 9041, 22772, 5334, 14309, 4311, 267, 795, 267, 737, 2187, 453, 453, 18257, 15507, 585, 1883, 737, 538, 19943, 693, 4994, 795, 563, 453, 453, 27987, 630, 572, 15471, 267, 4994, 264, 24042, 267, 4330, 740, 5205, 912, 453, 453, 2252, 6474, 729, 1336, 267, 1967, 568, 6936, 543, 4994, 18575, 922, 4087, 563, 453, 453, 2252, 1100, 6474, 1336, 267, 1967, 568, 8771, 543, 4994, 18575, 1101, 1285, 531, 4192, 18921, 563, 453, 453, 18411, 453, 453, 14140, 13510, 841, 815, 7183, 454, 453, 453, 6112, 6936, 912, 4848, 14851, 1582, 11519, 529, 318, 19989, 27203, 2187, 15235, 14851, 1101, 13510, 841, 568, 7183, 912, 20930, 453, 14140, 13510, 841, 815, 795, 454, 15235, 14851, 1582, 11519, 14456, 14728, 316, 568, 7183, 912, 20930, 16596, 630, 16178, 267, 1101, 13510, 841, 994, 4848, 453, 19197, 737, 2652, 1582, 11519, 14456, 14728, 4940, 318, 4486, 912, 15235, 16596, 630, 12148, 267, 795, 994, 4848, 453, 329, 815, 630, 329, 1341, 476, 272, 264, 4939, 7003, 4311, 11519, 14456, 2020, 22592, 9041, 321, 3089, 564, 318, 1326, 14403, 4311, 267, 795, 267, 737, 2187, 453, 453, 11398, 267, 521, 815, 1582, 11519, 22772, 5334, 14309, 27203, 267, 737, 994, 453, 14851, 711, 1336, 912, 4848, 453, 571, 1047, 6206, 13286, 3488, 7659, 18438, 281, 1412, 1341, 1065, 337, 17347, 4917, 453, 16596, 1582, 11519, 14456, 314, 338, 4940, 318, 7407, 692, 22592, 9041, 321, 3089, 564, 27133, 14403, 4311, 267, 795, 267, 737, 267, 642, 2187, 453, 453, 11398, 267, 521, 815, 1582, 11519, 22772, 5334, 14309, 27203, 267, 737, 994, 453, 14851, 711, 1336, 912, 4848, 19677, 11519, 14456, 314, 338, 316, 815, 1582, 11519, 2005, 655, 17347, 267, 642, 994, 4848, 19677, 11519, 333, 6834, 476, 272, 454, 453, 28432, 912, 4848, 19677, 11519, 14456, 314, 338, 4940, 318, 7407, 815, 642, 692, 22592, 9041, 321, 3089, 564, 5091, 601, 14403, 4311, 267, 795, 267, 737, 2187, 453, 453, 11398, 267, 521, 815, 1582, 11519, 22772, 5334, 14309, 27203, 267, 737, 994, 453, 14851, 711, 1336, 912, 4848, 453, 571, 1047, 6206, 13286, 3488, 7659, 18438, 281, 1412, 1341, 1065, 337, 17347, 4917, 453, 19677, 11519, 14456, 314, 338, 316, 815, 1160, 2041, 295, 1662, 24961, 11519, 16787, 288, 6579, 692, 22592, 6449, 3438, 9191, 1345, 2187, 453, 22610, 795, 538, 2039, 12759, 4311, 11519, 14456, 15892, 4848, 14851, 711, 1582, 11519, 529, 318, 19989, 27203, 2187, 15235, 453, 344, 1752, 1582, 11519, 14456, 14728, 4940, 318, 4486, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 577, 332, 815, 476, 20456, 295, 1662, 24961, 4590, 22610, 1449, 538, 630, 2419, 664, 295, 1662, 24961, 19572, 1160, 2041, 295, 1662, 24961, 3890, 2187, 453, 13537, 263, 6943, 6025, 652, 4917, 453, 22610, 737, 538, 2039, 263, 2918, 2187, 4848, 453, 341, 815, 669, 337, 17347, 266, 4792, 994, 4848, 453, 28744, 3488, 3553, 3299, 737, 267, 642, 994, 4848, 453, 11687, 15630, 29239, 17347, 267, 642, 994, 453, 13537, 12759, 6025, 652, 4917, 453, 22610, 737, 267, 341, 538, 15044, 6025, 652, 29096, 3890, 2187, 4848, 13537, 3488, 1326, 3299, 737, 267, 642, 994, 0, 5035, 667, 1112, 630, 18743, 2187, 825, 1219, 6449, 8181, 1029, 630, 1345, 267, 2878, 29220, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 1262, 29220, 2020, 825, 1219, 6449, 1326, 3430, 337, 1029, 630, 1345, 267, 1883, 2187, 1038, 2119, 912, 2018, 2132, 1582, 314, 4486, 2639, 1038, 4849, 912, 2018, 6318, 5900, 25572, 13286, 16868, 257, 262, 291, 1112, 262, 1843, 814, 1100, 14487, 1412, 260, 338, 262, 257, 4939, 1883, 2020, 825, 1219, 6449, 3553, 3430, 337, 1029, 630, 1345, 267, 1883, 267, 1871, 2187, 1038, 1582, 314, 4486, 316, 815, 1871, 692, 323, 815, 667, 1112, 5416, 284, 272, 267, 536, 284, 273, 994, 2745, 630, 323, 9131, 320, 262, 7481, 323, 272, 815, 9598, 5416, 815, 476, 272, 267, 536, 815, 274, 994, 2745, 5560, 272, 994, 323, 273, 815, 27835, 320, 9166, 476, 272, 267, 1412, 321, 262, 2433, 476, 274, 8679, 2745, 5560, 273, 2020, 5814, 1770, 11687, 692, 5035, 4530, 291, 1112, 630, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1449, 318, 8181, 630, 1345, 2187, 1038, 546, 815, 667, 1112, 5416, 284, 272, 267, 536, 8782, 11687, 5073, 1038, 1582, 27863, 5560, 18502, 267, 476, 272, 994, 1038, 1582, 27863, 5560, 12500, 267, 1412, 11687, 10807, 258, 604, 476, 273, 1883, 1871, 568, 3160, 454, 1038, 1582, 20596, 12148, 263, 529, 27349, 5560, 267, 9598, 4297, 258, 604, 621, 568, 2706, 11665, 1843, 692, 825, 1219, 1449, 318, 4486, 630, 1345, 2187, 1038, 546, 815, 667, 1112, 4590, 1038, 546, 9131, 4486, 11172, 815, 1412, 7407, 7055, 1038, 1582, 27863, 5560, 269, 4486, 267, 1412, 7407, 10807, 258, 8471, 1106, 1449, 692, 825, 1219, 1449, 318, 3430, 337, 630, 1345, 2187, 1038, 546, 815, 667, 1112, 4590, 1038, 546, 269, 4486, 815, 1412, 7407, 7055, 1038, 1582, 20596, 12148, 3488, 4486, 262, 538, 546, 994, 1038, 1582, 27863, 5560, 9131, 4486, 28710, 1412, 7407, 10807, 258, 8471, 1106, 1449, 692, 825, 1219, 1449, 318, 4486, 19587, 630, 1345, 2187, 1038, 546, 815, 667, 1112, 4590, 1038, 609, 1582, 20596, 26244, 2478, 263, 7659, 13286, 2187, 2018, 1871, 815, 546, 9131, 24105, 262, 6540, 825, 1219, 1449, 318, 3430, 17243, 2928, 630, 1345, 2187, 1038, 546, 815, 667, 1112, 4590, 1038, 609, 1582, 20596, 26244, 2478, 10490, 1777, 25572, 13286, 2187, 2018, 1871, 815, 546, 269, 24105, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 2745, 3193, 630, 272, 267, 476, 273, 267, 476, 274, 994, 333, 272, 815, 476, 1911, 454, 333, 273, 815, 476, 1960, 454, 2745, 15279, 3799, 272, 994, 2745, 15279, 3799, 273, 2020, 3698, 1250, 318, 11274, 630, 343, 2187, 825, 952, 1535, 13843, 476, 271, 912, 1038, 2132, 1535, 454, 825, 3116, 912, 1038, 2132, 476, 910, 343, 692, 2745, 1250, 318, 11274, 263, 272, 994, 2745, 1250, 318, 11274, 8987, 272, 2020, 2745, 1412, 315, 333, 12221, 2612, 281, 7055, 28744, 2612, 3488, 3698, 17210, 3698, 1250, 318, 11274, 273, 630, 343, 2187, 825, 952, 711, 568, 27349, 3287, 267, 263, 842, 267, 10581, 15892, 1038, 6318, 7392, 13286, 2891, 289, 611, 1826, 23528, 825, 952, 1535, 13843, 476, 271, 912, 1038, 2132, 1535, 454, 825, 3116, 912, 1038, 2132, 476, 910, 343, 692, 28744, 1250, 318, 11274, 273, 3488, 29582, 17210, 5814, 2979, 692, 3698, 1847, 630, 343, 267, 586, 267, 1900, 267, 5086, 2187, 825, 562, 343, 815, 1535, 1341, 1900, 2608, 2979, 269, 6523, 263, 4120, 994, 825, 562, 344, 815, 586, 1341, 1900, 2608, 2979, 4732, 514, 263, 4120, 994, 825, 2132, 562, 343, 267, 562, 344, 692, 343, 267, 586, 815, 1847, 630, 1911, 267, 476, 1911, 267, 476, 1015, 267, 476, 3393, 994, 2745, 1535, 267, 586, 692, 3698, 13392, 5416, 267, 536, 267, 524, 2187, 825, 952, 16733, 321, 1262, 273, 910, 476, 275, 265, 320, 265, 322, 264, 3436, 476, 271, 2187, 1038, 3070, 272, 815, 630, 4118, 28460, 6357, 1262, 273, 910, 476, 275, 265, 320, 265, 322, 264, 910, 536, 8358, 273, 21669, 454, 1038, 3070, 273, 815, 11196, 4118, 28460, 6357, 1262, 273, 910, 476, 275, 265, 320, 265, 322, 264, 910, 536, 8358, 273, 21669, 454, 1038, 2132, 3070, 272, 267, 3070, 273, 454, 825, 8640, 16733, 321, 1262, 273, 910, 476, 275, 265, 320, 265, 322, 264, 2652, 476, 271, 2187, 1038, 2132, 910, 536, 270, 273, 21669, 454, 825, 3116, 912, 1038, 2132, 7183, 267, 7183, 454, 343, 267, 586, 815, 13392, 8987, 273, 267, 476, 276, 267, 476, 272, 994, 2745, 1412, 763, 2626, 540, 568, 7055, 2745, 1535, 267, 586, 692, 3698, 1379, 630, 343, 267, 562, 815, 476, 273, 2187, 825, 1775, 815, 476, 272, 3248, 825, 1247, 630, 328, 2999, 562, 2187, 1038, 1535, 2608, 284, 1535, 454, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1535, 454, 2745, 1379, 263, 274, 994, 2745, 1379, 263, 274, 267, 476, 273, 2020, 3698, 1608, 30916, 11133, 2187, 825, 521, 815, 476, 271, 454, 825, 585, 562, 538, 1003, 912, 1038, 521, 6834, 562, 454, 825, 2132, 521, 454, 2745, 1608, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 994, 11133, 815, 630, 272, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 276, 994, 2745, 1608, 28949, 11133, 2020, 3698, 1039, 630, 333, 2187, 825, 952, 630, 333, 2652, 476, 272, 2187, 1038, 2132, 1412, 272, 7055, 825, 3116, 912, 1038, 2132, 562, 12459, 7765, 3488, 333, 3299, 1039, 3799, 4917, 2745, 1412, 516, 15479, 542, 3299, 1015, 267, 1039, 263, 1015, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5228, 13641, 318, 16318, 276, 318, 20877, 1104, 8641, 454, 5228, 13641, 318, 271, 4817, 273, 318, 3849, 2194, 762, 3891, 777, 26212, 640, 20075, 826, 1104, 24623, 3891, 777, 26212, 640, 20075, 826, 692, 3698, 20125, 24786, 9078, 9975, 14116, 267, 521, 21683, 2187, 453, 18257, 15253, 1393, 20125, 1790, 987, 9883, 689, 521, 21683, 547, 3914, 8475, 14622, 540, 575, 563, 453, 20877, 575, 666, 581, 3768, 20526, 610, 9859, 267, 855, 1590, 581, 649, 580, 564, 1117, 971, 602, 454, 453, 324, 4318, 2211, 3890, 7024, 513, 25948, 649, 580, 628, 585, 1142, 6316, 552, 563, 453, 27987, 8675, 11837, 1142, 3914, 762, 14584, 547, 922, 3845, 689, 521, 21683, 563, 453, 18411, 453, 323, 815, 15079, 476, 1948, 546, 314, 341, 316, 568, 5580, 3808, 689, 521, 547, 642, 454, 453, 743, 3716, 815, 15079, 476, 1948, 4786, 3914, 8475, 642, 547, 922, 546, 314, 341, 316, 1871, 454, 453, 335, 336, 815, 24623, 3891, 777, 26212, 640, 20075, 826, 3890, 476, 1948, 14584, 642, 786, 723, 1883, 546, 314, 341, 2639, 453, 335, 27942, 665, 1807, 815, 15079, 476, 1948, 4786, 1106, 14584, 547, 922, 533, 336, 1327, 1807, 454, 22610, 642, 538, 575, 269, 3200, 1182, 10031, 453, 14851, 642, 568, 521, 21683, 912, 4848, 453, 323, 314, 341, 316, 815, 476, 271, 454, 453, 28432, 912, 4848, 453, 323, 314, 341, 316, 815, 10581, 3488, 8882, 5073, 453, 453, 335, 27942, 665, 1807, 314, 341, 316, 815, 533, 336, 14491, 5560, 314, 341, 3910, 642, 994, 28768, 453, 6112, 711, 533, 336, 18994, 318, 24105, 10031, 453, 453, 4486, 267, 579, 815, 533, 336, 31927, 28804, 4590, 453, 453, 743, 3716, 314, 340, 316, 815, 1883, 454, 453, 453, 23437, 533, 27942, 665, 1807, 314, 340, 2639, 453, 22610, 552, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2187, 4848, 453, 341, 815, 552, 269, 641, 22683, 26086, 994, 4848, 14851, 642, 711, 538, 6531, 912, 15235, 453, 342, 25885, 815, 552, 4318, 2211, 4590, 15235, 14851, 546, 314, 340, 316, 1341, 530, 25885, 2999, 546, 314, 341, 14158, 20930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1500, 2797, 543, 2804, 561, 807, 11143, 609, 7332, 17710, 269, 9182, 267, 519, 4207, 7187, 2829, 540, 2107, 20811, 267, 8496, 27256, 21423, 267, 14076, 553, 22474, 543, 30899, 520, 11677, 1082, 15999, 17633, 269, 769, 4334, 267, 1034, 3162, 4095, 17633, 941, 6870, 689, 7839, 9552, 676, 7332, 28164, 676, 741, 13664, 6302, 543, 519, 19597, 730, 4222, 540, 2178, 9699, 25267, 269, 634, 6574, 1297, 543, 4102, 540, 3127, 779, 11454, 23838, 616, 538, 519, 3162, 267, 543, 1082, 723, 4797, 547, 1332, 20406, 2429, 1686, 269, 1280, 1383, 267, 519, 5458, 11454, 547, 31155, 20692, 538, 16444, 681, 836, 600, 267, 1101, 9112, 538, 519, 20870, 2540, 267, 814, 1044, 3773, 547, 543, 4957, 538, 1169, 2540, 2094, 1287, 269, 634, 9380, 539, 22530, 4450, 540, 922, 18749, 9018, 24891, 729, 6192, 538, 476, 2735, 278, 563, 305, 4456, 21815, 3198, 11403, 3198, 24912, 654, 7417, 298, 14877, 966, 3041, 3951, 9215, 5990, 570, 4932, 303, 4041, 454, 16352, 1175, 695, 8491, 543, 10627, 1117, 267, 10548, 778, 663, 3757, 12109, 1186, 519, 1614, 7397, 540, 1010, 2973, 267, 28448, 588, 2117, 1117, 3043, 10412, 546, 14653, 328, 1472, 1010, 22765, 269, 1261, 4025, 513, 12805, 695, 1177, 331, 936, 1010, 17525, 267, 6028, 1010, 9221, 11953, 269, 1261, 1287, 3268, 883, 1010, 12285, 5070, 1023, 543, 1793, 2354, 856, 519, 7450, 540, 1010, 1753, 269, 3807, 538, 4395, 540, 1864, 267, 1010, 7820, 11078, 814, 3592, 8737, 7206, 606, 14969, 737, 565, 600, 267, 513, 10723, 1374, 593, 519, 2666, 1354, 519, 7450, 1500, 609, 6926, 3737, 7573, 7912, 269, 898, 568, 606, 2534, 602, 2901, 1352, 267, 610, 1010, 3993, 610, 1010, 31225, 267, 15824, 1169, 1554, 540, 519, 1032, 269, 1306, 646, 15211, 5402, 1472, 621, 267, 646, 8098, 2231, 519, 4190, 2603, 639, 1352, 568, 2870, 269, 2353, 1472, 1864, 519, 4884, 568, 4947, 547, 1272, 269, 1261, 649, 2314, 1063, 9118, 824, 737, 565, 4461, 607, 646, 7575, 1524, 519, 8265, 267, 530, 3058, 547, 1010, 7023, 267, 606, 2025, 812, 8247, 593, 5144, 532, 1010, 10800, 269, 10548, 778, 663, 3757, 568, 593, 1010, 1259, 547, 519, 11454, 563, 9213, 568, 13638, 267, 6131, 538, 3162, 3127, 547, 519, 31001, 25795, 600, 2006, 267, 606, 20032, 540, 1744, 752, 16210, 267, 519, 21522, 1379, 602, 9518, 619, 9409, 543, 646, 1023, 4524, 269, 1879, 10548, 778, 663, 3757, 729, 1175, 28465, 267, 646, 12247, 539, 602, 585, 519, 1964, 540, 1010, 1272, 646, 1131, 3728, 1169, 13638, 269, 3767, 4557, 1296, 723, 2250, 267, 543, 646, 1869, 15387, 1010, 12247, 269, 2991, 1010, 8602, 1354, 3141, 23438, 267, 646, 1743, 1678, 513, 7484, 540, 7401, 543, 17696, 930, 7573, 25394, 269, 1280, 519, 1964, 540, 519, 1554, 646, 786, 723, 1152, 15559, 267, 5329, 1010, 2247, 543, 1560, 678, 527, 1302, 6986, 538, 1931, 547, 581, 513, 1697, 6077, 547, 4309, 519, 31001, 779, 5583, 269, 4014, 10548, 778, 663, 3757, 7707, 4721, 25795, 600, 2006, 1169, 1554, 538, 1010, 7622, 695, 9068, 267, 593, 570, 1132, 17058, 646, 4422, 547, 519, 11454, 269, 15394, 646, 4422, 4805, 267, 4352, 3006, 646, 568, 10483, 676, 824, 1920, 2818, 563, 301, 8960, 519, 11454, 267, 519, 10754, 1332, 811, 22125, 269, 3245, 519, 588, 8712, 593, 2901, 2427, 267, 17761, 24329, 1289, 856, 741, 3649, 637, 269, 3509, 6133, 519, 17008, 602, 25058, 525, 1491, 547, 519, 11454, 282, 1866, 6133, 519, 3615, 602, 616, 1031, 538, 7622, 695, 21218, 269, 10548, 778, 663, 3757, 16306, 513, 17310, 543, 513, 17142, 540, 3043, 4342, 874, 528, 689, 519, 21527, 602, 646, 2505, 757, 1169, 3018, 269, 1261, 12662, 891, 883, 519, 1507, 530, 1157, 518, 11127, 602, 646, 11438, 267, 799, 2907, 3568, 930, 20397, 543, 6505, 2699, 24950, 29234, 602, 646, 13603, 689, 519, 4677, 3297, 1010, 1753, 563, 2026, 646, 4485, 519, 11454, 10766, 267, 646, 3762, 1010, 5070, 1023, 693, 519, 7450, 543, 3268, 3330, 269, 1325, 2819, 646, 666, 5873, 519, 10978, 804, 4474, 540, 30518, 689, 1369, 519, 18813, 636, 269, 15901, 908, 519, 2012, 540, 1010, 31001, 1700, 2108, 300, 926, 600, 2006, 267, 25795, 600, 2006, 267, 25795, 600, 2006, 892, 1700, 515, 26082, 1082, 824, 25058, 525, 547, 1958, 22511, 519, 3844, 11454, 538, 513, 29628, 4287, 269, 4825, 9506, 547, 519, 13675, 267, 646, 24864, 998, 519, 15624, 547, 4283, 519, 11454, 3294, 269, 18738, 621, 568, 4158, 543, 3579, 267, 4904, 609, 519, 5394, 267, 6653, 9329, 540, 1651, 1619, 269, 10548, 778, 663, 3757, 26082, 519, 1899, 540, 824, 5256, 10847, 619, 547, 519, 2451, 540, 519, 6418, 18813, 636, 269, 634, 2021, 267, 9849, 741, 6505, 652, 521, 30213, 267, 609, 5810, 538, 741, 4552, 267, 1899, 909, 6587, 1864, 269, 5753, 616, 593, 1312, 5011, 269, 1261, 10301, 909, 547, 8258, 513, 11350, 17735, 689, 519, 6149, 18109, 269, 4706, 2178, 3159, 1579, 1513, 1010, 2634, 540, 970, 8735, 748, 2219, 543, 2636, 1864, 547, 1445, 1010, 3007, 593, 519, 1546, 640, 269, 595, 3757, 532, 1010, 8405, 267, 646, 666, 1175, 1205, 513, 19214, 540, 519, 3109, 2989, 6149, 3239, 540, 519, 31001, 269, 2701, 568, 21039, 538, 513, 13085, 2699, 521, 926, 267, 1200, 8405, 4988, 609, 9925, 1564, 543, 6095, 4133, 540, 5810, 267, 1200, 2212, 7715, 2740, 609, 513, 1019, 611, 655, 563, 763, 17308, 2501, 1524, 519, 1899, 540, 25058, 525, 10655, 741, 17008, 543, 7024, 883, 519, 18813, 636, 269, 589, 1225, 1555, 568, 6537, 2066, 519, 695, 9068, 585, 513, 1906, 3764, 540, 11235, 24736, 269, 3973, 267, 8015, 519, 804, 600, 528, 540, 30518, 267, 621, 568, 8118, 269, 634, 3239, 540, 25795, 600, 2006, 568, 32689, 569, 4190, 547, 1864, 267, 9241, 24224, 609, 4195, 5810, 267, 1519, 1079, 540, 10548, 778, 663, 3757, 779, 6505, 2699, 24950, 29234, 269, 634, 17308, 6329, 513, 21567, 17689, 1396, 609, 5722, 26428, 538, 513, 9764, 5163, 538, 4395, 540, 519, 31001, 269, 18391, 883, 519, 695, 9068, 267, 10548, 778, 663, 3757, 25437, 1010, 4064, 609, 1346, 540, 519, 3239, 281, 646, 814, 546, 6702, 534, 609, 519, 31001, 269, 2311, 602, 4090, 646, 568, 4904, 609, 513, 4743, 540, 1134, 5630, 267, 540, 10704, 1145, 543, 540, 10362, 269, 3571, 1158, 568, 538, 3666, 563, 763, 17308, 1287, 6770, 856, 513, 26745, 540, 1769, 539, 4342, 874, 528, 269, 2353, 519, 10847, 619, 1747, 741, 3946, 3533, 883, 519, 3579, 18723, 1354, 15700, 873, 547, 741, 6806, 22442, 1749, 267, 3090, 1227, 6679, 741, 20339, 547, 1209, 542, 609, 519, 23942, 269, 2201, 519, 1482, 26745, 616, 2370, 544, 2432, 540, 3043, 10723, 11849, 543, 2699, 2357, 332, 559, 542, 8869, 269, 2060, 519, 8772, 9416, 540, 1010, 1318, 1688, 267, 10548, 778, 663, 3757, 12662, 513, 12297, 540, 1142, 538, 519, 4099, 540, 1010, 30432, 1063, 1010, 32071, 4900, 267, 519, 11849, 29544, 22729, 998, 10847, 543, 519, 2699, 29544, 1744, 752, 16210, 267, 519, 1379, 540, 519, 31001, 269, 3973, 1142, 1268, 779, 11127, 540, 17008, 568, 8120, 267, 930, 540, 922, 9115, 6967, 607, 513, 21856, 547, 519, 11454, 267, 519, 1964, 25552, 676, 519, 31001, 547, 581, 3838, 676, 519, 25058, 525, 269, 10548, 778, 663, 3757, 786, 1491, 713, 929, 1662, 611, 1394, 547, 1010, 1920, 267, 865, 602, 789, 949, 851, 820, 538, 25795, 600, 2006, 779, 26460, 563, 763, 3483, 540, 1010, 12353, 11454, 3643, 568, 936, 267, 543, 10548, 778, 663, 3757, 1590, 2132, 1753, 3533, 269, 4495, 972, 267, 646, 2242, 856, 540, 1010, 546, 14653, 328, 543, 695, 1177, 331, 543, 12662, 593, 519, 3109, 27890, 543, 3043, 7735, 539, 25099, 540, 1010, 960, 30933, 269, 2991, 6704, 1152, 513, 4837, 540, 1216, 267, 646, 4410, 338, 1010, 17919, 547, 11878, 547, 519, 6300, 1141, 782, 1554, 646, 18203, 519, 5904, 602, 616, 865, 1898, 547, 519, 5826, 540, 1870, 538, 4207, 3127, 269, 1306, 646, 4421, 619, 519, 3965, 12545, 540, 7745, 1292, 18134, 8800, 267, 646, 568, 1543, 538, 519, 3965, 540, 1010, 3095, 609, 1010, 31001, 267, 543, 609, 519, 12738, 602, 3142, 3666, 547, 1010, 1272, 563, 309, 25893, 298, 6730, 631, 3198, 296, 25605, 623, 6938, 312, 11123, 589, 8863, 6579, 291, 454, 763, 3003, 2749, 4667, 547, 581, 25805, 543, 593, 519, 1847, 267, 1256, 1498, 621, 568, 1152, 476, 278, 600, 269, 634, 10754, 616, 4904, 609, 2534, 543, 519, 524, 659, 2684, 3415, 540, 21527, 543, 6808, 269, 966, 633, 330, 543, 2494, 11986, 723, 8737, 741, 11680, 540, 6995, 543, 616, 4712, 547, 979, 547, 519, 11454, 269, 4256, 7365, 7908, 8481, 941, 936, 1175, 1079, 4374, 3516, 267, 543, 519, 1007, 27379, 543, 19081, 723, 1044, 15695, 602, 621, 1131, 581, 513, 22273, 5534, 547, 3643, 1896, 1271, 10723, 4609, 1354, 789, 7017, 1524, 269, 1358, 723, 2907, 14612, 676, 1668, 547, 2947, 824, 17633, 538, 3844, 7013, 3127, 267, 855, 2221, 568, 519, 1034, 1271, 281, 538, 713, 4884, 568, 606, 3504, 11454, 6131, 547, 606, 3239, 540, 590, 10216, 12021, 585, 3571, 7060, 540, 26587, 12680, 543, 3811, 27638, 563, 10048, 11986, 568, 3325, 1370, 6053, 21039, 538, 1200, 20923, 11909, 521, 926, 543, 4154, 14446, 267, 543, 966, 633, 330, 31273, 513, 2757, 3043, 16536, 546, 14653, 328, 267, 1010, 9221, 11953, 547, 16616, 519, 10723, 8142, 602, 782, 2909, 327, 2006, 320, 2367, 5957, 269, 1306, 789, 3802, 1524, 519, 2647, 28627, 602, 4485, 519, 11454, 267, 789, 4444, 513, 11127, 540, 17008, 689, 835, 540, 519, 588, 8712, 543, 1287, 3247, 547, 11547, 741, 3946, 543, 3952, 538, 519, 7297, 540, 519, 3504, 6149, 7535, 602, 6763, 1175, 547, 519, 2451, 540, 519, 11454, 7623, 267, 20057, 1782, 930, 936, 741, 9843, 547, 21843, 513, 8602, 538, 519, 13411, 717, 5190, 5211, 269, 1358, 1688, 936, 741, 5070, 1023, 547, 513, 812, 945, 12662, 873, 538, 986, 4242, 2059, 609, 519, 7366, 540, 1866, 2907, 2451, 602, 6640, 269, 3973, 789, 1780, 998, 7372, 9885, 896, 513, 26009, 6149, 2497, 4904, 609, 12137, 1127, 5627, 18810, 540, 519, 29331, 543, 29631, 5515, 563, 5445, 5612, 5469, 513, 1689, 538, 5790, 269, 898, 568, 711, 9602, 1934, 2901, 267, 855, 519, 8515, 568, 1114, 269, 1703, 616, 1100, 6472, 267, 1100, 2344, 588, 8712, 267, 1175, 555, 3994, 338, 540, 1004, 2469, 1114, 8846, 543, 3238, 538, 1082, 2238, 269, 3689, 2494, 11986, 543, 966, 633, 330, 3247, 547, 2322, 5810, 593, 513, 1804, 6149, 3239, 540, 590, 10216, 779, 5067, 717, 6951, 3873, 267, 519, 17707, 32567, 2696, 945, 568, 7083, 540, 23548, 25751, 543, 3816, 1478, 540, 26861, 8163, 269, 898, 568, 3617, 547, 2253, 10847, 693, 519, 11454, 676, 26621, 13924, 269, 3973, 789, 6443, 519, 2527, 540, 1004, 3001, 547, 519, 2451, 538, 513, 2647, 267, 3774, 539, 8574, 3118, 602, 4625, 1958, 597, 3380, 519, 3844, 11454, 269, 1306, 789, 3802, 267, 789, 17492, 741, 8186, 547, 1445, 593, 519, 2601, 602, 789, 616, 1934, 281, 547, 7281, 585, 6379, 543, 513, 3811, 27638, 269, 4256, 3007, 568, 11651, 1540, 676, 519, 1082, 11623, 602, 789, 1780, 267, 3710, 883, 519, 11999, 6149, 3774, 693, 741, 2451, 269, 2368, 2270, 519, 9380, 539, 7047, 338, 543, 3662, 11057, 1396, 1562, 585, 8876, 519, 1184, 1308, 2592, 540, 519, 1546, 885, 282, 1866, 3180, 13646, 585, 519, 11454, 16984, 282, 930, 616, 519, 6539, 29353, 585, 5986, 519, 1426, 6035, 547, 519, 29331, 282, 543, 1869, 1866, 616, 588, 8712, 585, 519, 11454, 17707, 267, 543, 585, 519, 16933, 602, 1683, 5144, 585, 519, 4996, 329, 553, 269, 5272, 3602, 972, 568, 2534, 269, 634, 17707, 267, 922, 2212, 2681, 2685, 13556, 609, 30676, 543, 2603, 4926, 267, 10301, 856, 922, 17657, 547, 12196, 1780, 619, 2421, 538, 2132, 585, 17008, 540, 11113, 269, 589, 1895, 540, 2021, 2695, 520, 538, 513, 5858, 13465, 8964, 269, 5753, 2196, 1394, 543, 8521, 1851, 519, 25058, 525, 4730, 513, 3014, 540, 11090, 269, 15815, 15317, 338, 616, 21401, 856, 18069, 1851, 519, 20077, 9587, 540, 513, 8122, 539, 3760, 269, 634, 9329, 540, 14546, 3649, 30835, 689, 513, 1804, 1895, 9361, 1927, 4189, 7573, 543, 21378, 2812, 1055, 10824, 1500, 689, 1804, 3039, 19337, 3762, 563, 2026, 966, 633, 330, 543, 2494, 11986, 2490, 513, 7944, 789, 2097, 2390, 606, 3504, 3529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9813, 28466, 3494, 602, 621, 1590, 581, 27734, 945, 6410, 689, 5607, 547, 824, 17407, 543, 3710, 891, 803, 6549, 603, 545, 4609, 563, 296, 723, 3254, 596, 865, 1082, 9699, 3889, 538, 519, 2197, 540, 21896, 607, 1134, 269, 1809, 18840, 5505, 723, 835, 1271, 1448, 267, 799, 4422, 1996, 713, 2070, 563, 5445, 3494, 602, 25234, 572, 328, 16422, 330, 3994, 729, 3710, 1472, 476, 12010, 589, 6185, 543, 519, 28607, 531, 30958, 729, 3710, 1454, 4505, 982, 602, 267, 693, 2547, 513, 1906, 5553, 4505, 563, 4517, 713, 568, 1360, 4277, 267, 1317, 952, 2904, 534, 543, 1010, 1004, 6410, 689, 5607, 547, 6239, 3013, 267, 519, 25234, 572, 328, 16422, 330, 3994, 1058, 723, 1044, 3710, 1101, 267, 543, 1287, 519, 28607, 531, 18158, 1131, 723, 1044, 3710, 563, 4913, 267, 18840, 5505, 1589, 602, 519, 28607, 531, 18158, 729, 3710, 4505, 543, 25234, 572, 328, 16422, 330, 3994, 729, 3710, 1472, 476, 12010, 589, 6185, 269, 1809, 519, 1883, 2243, 568, 267, 875, 1705, 4966, 2097, 547, 519, 3932, 602, 519, 25234, 572, 328, 16422, 330, 3994, 18158, 729, 3710, 1472, 476, 12010, 589, 6185, 888, 1607, 568, 2497, 568, 4625, 1500, 540, 7725, 543, 20398, 267, 865, 621, 3112, 581, 3327, 18584, 269, 634, 7389, 616, 4986, 811, 982, 7229, 7058, 525, 269, 1809, 972, 568, 606, 30115, 1934, 593, 519, 5011, 540, 713, 7450, 3118, 799, 3217, 519, 3135, 1394, 1454, 1454, 4587, 538, 942, 563, 2791, 666, 1294, 621, 814, 891, 4190, 1202, 18587, 538, 16130, 543, 10609, 1067, 269, 898, 12909, 827, 513, 23920, 1572, 918, 3711, 340, 267, 945, 12599, 689, 3127, 5215, 540, 1296, 3516, 543, 519, 30115, 19528, 602, 646, 8547, 519, 2197, 540, 25591, 267, 8385, 1634, 607, 918, 3711, 14833, 10937, 563, 1607, 568, 1946, 649, 723, 519, 1699, 2012, 25591, 543, 519, 5449, 2012, 918, 2086, 1075, 9996, 11489, 476, 2735, 280, 269, 1924, 267, 596, 666, 1294, 1256, 1498, 972, 568, 606, 30115, 2854, 538, 713, 18158, 267, 2921, 621, 1394, 547, 5215, 540, 1296, 3516, 267, 1488, 3832, 5505, 798, 711, 3398, 713, 30115, 607, 513, 4570, 3140, 2594, 267, 1317, 789, 2161, 713, 568, 6071, 3909, 13299, 563, 3719, 519, 2963, 568, 1318, 1934, 267, 593, 519, 1360, 3135, 267, 602, 519, 25234, 572, 328, 16422, 330, 3994, 18158, 840, 1673, 919, 519, 28607, 531, 18158, 538, 30188, 563, 3383, 267, 621, 568, 3833, 2009, 621, 729, 1101, 3710, 1934, 267, 543, 1287, 6368, 556, 6088, 538, 28607, 531, 563, 3383, 267, 1018, 798, 596, 1589, 888, 310, 699, 25234, 572, 328, 16422, 330, 3994, 543, 28607, 531, 3710, 676, 519, 1482, 26767, 888, 310, 699, 2904, 753, 8385, 27734, 888, 1692, 3116, 798, 596, 2491, 519, 7415, 16726, 1063, 891, 476, 273, 26829, 286, 0, 295, 2752, 297, 9331, 383, 482, 292, 267, 966, 732, 572, 737, 6686, 5055, 267, 966, 383, 369, 745, 1130, 323, 267, 966, 383, 369, 745, 12103, 752, 1180, 454, 1607, 2699, 6149, 18189, 729, 30792, 538, 476, 2735, 277, 543, 31061, 519, 2621, 540, 519, 623, 6686, 327, 1690, 383, 369, 22080, 5211, 32574, 563, 26123, 6480, 517, 2103, 2808, 519, 966, 383, 369, 8518, 340, 5211, 10723, 267, 2094, 621, 729, 2219, 547, 581, 519, 1753, 540, 519, 17500, 5601, 269, 769, 476, 13932, 271, 267, 519, 18459, 540, 519, 590, 383, 369, 1067, 335, 2728, 812, 528, 267, 7937, 332, 267, 3710, 1007, 14200, 593, 519, 5757, 910, 855, 1010, 7031, 941, 13351, 676, 1025, 697, 267, 799, 519, 6705, 2322, 1524, 547, 519, 964, 1815, 1674, 540, 519, 8297, 591, 269, 2201, 476, 279, 5147, 476, 13932, 273, 519, 6705, 10032, 519, 14200, 543, 519, 2481, 269, 634, 32574, 729, 2322, 1524, 609, 948, 689, 519, 17740, 807, 543, 519, 6705, 941, 16094, 27052, 563, 21589, 341, 4292, 18755, 541, 20435, 717, 7491, 548, 742, 13604, 5206, 513, 11755, 827, 661, 2858, 3164, 16027, 22870, 6255, 5055, 808, 14660, 2102, 630, 1492, 966, 18649, 20266, 518, 264, 799, 729, 3370, 538, 476, 13932, 275, 269, 0, 1432, 568, 5178, 529, 29665, 888, 289, 12118, 9467, 568, 513, 13075, 9467, 1544, 799, 13408, 540, 519, 4444, 540, 513, 1880, 2883, 6293, 267, 6006, 610, 20161, 267, 543, 519, 9042, 540, 922, 1644, 12045, 269, 3371, 267, 519, 9520, 1281, 519, 9467, 896, 4493, 950, 789, 917, 602, 1079, 13632, 610, 21113, 616, 711, 9425, 11720, 539, 799, 616, 1644, 547, 1142, 824, 630, 7945, 607, 9523, 540, 631, 12396, 299, 543, 922, 2104, 4579, 1040, 1358, 1589, 602, 519, 11234, 1871, 786, 581, 22621, 563, 1103, 2013, 540, 4493, 9467, 267, 513, 4123, 1058, 581, 3144, 593, 513, 6006, 543, 922, 1644, 20304, 4579, 282, 519, 4123, 2990, 786, 581, 19311, 952, 519, 6718, 3902, 540, 6006, 543, 20304, 7132, 519, 2121, 1942, 540, 8066, 547, 1312, 7405, 267, 1775, 4318, 1421, 30549, 720, 267, 1719, 593, 2724, 267, 3092, 269, 568, 1447, 982, 519, 20304, 3902, 269, 898, 568, 849, 1634, 607, 6666, 543, 4163, 9467, 563, 7078, 540, 5178, 529, 29665, 454, 288, 575, 9529, 19431, 729, 1614, 3275, 2476, 689, 23478, 4154, 543, 4767, 875, 7957, 24461, 519, 3747, 543, 3761, 3871, 1185, 1044, 267, 602, 575, 9529, 19431, 1522, 1831, 536, 6139, 1042, 827, 513, 1761, 3902, 7771, 4180, 689, 606, 16136, 6269, 569, 540, 4154, 269, 634, 575, 9529, 19431, 1522, 6133, 6190, 20304, 11731, 547, 5150, 519, 4598, 540, 4154, 646, 4397, 547, 6133, 269, 1403, 519, 1699, 3902, 540, 519, 4154, 941, 1269, 2412, 269, 876, 829, 6121, 267, 543, 519, 20304, 4579, 799, 814, 1163, 1600, 835, 3923, 856, 941, 14499, 693, 1269, 5655, 269, 276, 829, 6121, 267, 1287, 519, 575, 9529, 19431, 1223, 1631, 9376, 538, 513, 3902, 609, 513, 1341, 273, 269, 276, 1448, 4493, 269, 634, 575, 9529, 19431, 267, 693, 713, 4090, 267, 568, 1818, 513, 4123, 602, 568, 2110, 6133, 14112, 590, 749, 14112, 590, 2454, 568, 513, 9467, 4640, 2966, 547, 1118, 2656, 12374, 676, 1179, 6819, 593, 519, 9991, 5777, 540, 2883, 3354, 269, 898, 568, 2944, 676, 24228, 519, 3354, 689, 513, 30549, 543, 9513, 621, 538, 519, 2344, 543, 27502, 1065, 3420, 2084, 519, 3354, 2899, 519, 5777, 723, 15468, 269, 4493, 1317, 646, 1139, 4680, 519, 3902, 540, 519, 20304, 4579, 547, 581, 17379, 543, 267, 607, 513, 1267, 267, 786, 2673, 547, 519, 5544, 3902, 563, 289, 12118, 29665, 645, 4637, 454, 288, 4493, 3902, 568, 513, 3902, 2709, 585, 513, 3354, 5092, 7282, 922, 6556, 547, 15657, 312, 1752, 1677, 4223, 12053, 312, 1752, 547, 4223, 12053, 4016, 547, 519, 4397, 7024, 606, 20090, 9027, 919, 1310, 5329, 519, 6125, 16856, 11489, 519, 15657, 4266, 269, 769, 824, 1913, 267, 513, 6125, 781, 4397, 7024, 1310, 1818, 782, 519, 11033, 593, 942, 2429, 519, 1272, 540, 513, 6125, 907, 589, 4493, 3902, 568, 7363, 6035, 585, 6378, 13867, 19736, 267, 971, 607, 7554, 269, 589, 6125, 786, 723, 513, 840, 1673, 17827, 5993, 2557, 540, 2132, 25486, 783, 15580, 2986, 17776, 763, 5993, 1242, 2557, 540, 2132, 568, 519, 6871, 540, 2132, 606, 5092, 2488, 21496, 269, 898, 5713, 607, 513, 4493, 585, 6476, 950, 519, 2557, 540, 2132, 593, 2110, 3856, 9541, 630, 328, 4318, 1421, 519, 3283, 1500, 585, 1447, 982, 513, 1032, 264, 616, 5993, 1242, 907, 901, 5993, 2557, 568, 519, 2179, 602, 519, 6125, 14516, 949, 18783, 547, 8451, 538, 1719, 1142, 1032, 563, 1103, 519, 2104, 2344, 267, 519, 4493, 2982, 519, 3017, 1063, 519, 6666, 3902, 540, 519, 6006, 610, 20161, 543, 519, 20304, 3902, 540, 602, 6006, 610, 20161, 269, 898, 568, 513, 2101, 26878, 2880, 3069, 585, 9520, 547, 3180, 1813, 547, 519, 7681, 538, 519, 1647, 540, 519, 5544, 267, 543, 20304, 5777, 3310, 519, 3902, 540, 519, 11731, 1031, 547, 2569, 519, 1981, 269, 1809, 519, 1935, 568, 849, 15458, 693, 2053, 1317, 972, 616, 3262, 1063, 1699, 543, 2104, 5777, 11489, 519, 1163, 597, 344, 540, 519, 20304, 4579, 282, 4061, 267, 519, 4493, 568, 711, 8850, 3169, 563, 1103, 1840, 547, 519, 13065, 5352, 1813, 547, 519, 942, 7934, 1063, 519, 1163, 597, 344, 540, 519, 20304, 4579, 543, 519, 5544, 20161, 563, 268, 7767, 832, 666, 2569, 519, 2530, 689, 9467, 952, 789, 798, 519, 8852, 896, 4493, 9467, 563, 268, 634, 5413, 540, 519, 2110, 519, 2596, 4640, 568, 602, 621, 5150, 693, 513, 3902, 267, 865, 513, 2208, 538, 519, 21113, 3902, 693, 513, 2663, 4266, 786, 711, 3310, 519, 9520, 563, 268, 898, 2337, 519, 9520, 547, 2057, 519, 17498, 728, 540, 519, 3902, 610, 7443, 563, 268, 898, 568, 835, 540, 519, 2994, 547, 1433, 519, 7443, 538, 1022, 2990, 4371, 676, 9520, 563, 268, 898, 14014, 9520, 1996, 2770, 551, 6672, 538, 3902, 267, 1719, 2557, 2242, 267, 3092, 563, 268, 2353, 30142, 1431, 4371, 676, 519, 9520, 1058, 581, 4009, 1055, 676, 519, 1439, 540, 519, 1554, 267, 543, 1100, 2990, 3788, 16074, 950, 1554, 9467, 20304, 563, 268, 28358, 999, 1930, 693, 513, 1114, 3902, 982, 1141, 789, 6806, 547, 519, 3105, 1554, 269, 12313, 2770, 551, 6672, 1797, 602, 519, 5506, 540, 796, 656, 4602, 730, 9271, 610, 12434, 8451, 950, 7158, 2611, 593, 519, 2835, 693, 519, 1439, 540, 513, 9467, 8400, 563, 268, 5178, 529, 9467, 814, 922, 1378, 1942, 267, 543, 4061, 621, 666, 6175, 519, 7443, 547, 602, 6708, 563, 268, 898, 6971, 519, 1981, 267, 799, 8850, 7140, 883, 2539, 7443, 563, 268, 898, 666, 581, 2944, 8362, 538, 1931, 547, 8308, 1852, 519, 14769, 563, 268, 589, 3232, 4123, 20090, 1058, 1246, 519, 7453, 563, 268, 589, 1554, 911, 1457, 21196, 3004, 1457, 763, 1554, 911, 1457, 568, 606, 1367, 945, 23194, 538, 519, 2883, 6990, 3232, 547, 7118, 12434, 676, 29227, 519, 13546, 1553, 13853, 1459, 538, 519, 2344, 269, 634, 1614, 2010, 540, 18318, 616, 910, 1367, 18318, 267, 2883, 9872, 18318, 267, 9470, 11825, 543, 11610, 18318, 269, 1590, 1246, 519, 7453, 4287, 547, 581, 3811, 269, 634, 7287, 547, 1118, 8589, 23194, 543, 547, 16765, 8565, 568, 2141, 1459, 538, 20304, 6990, 563, 268, 2155, 3827, 666, 1039, 909, 1360, 3533, 609, 1554, 9467, 269, 3509, 1554, 9520, 30321, 909, 1256, 693, 519, 1439, 540, 519, 1032, 267, 1247, 741, 10243, 3915, 568, 27763, 563, 763, 1657, 7422, 5693, 5815, 602, 519, 6388, 540, 20304, 3902, 3877, 568, 711, 3608, 538, 519, 2344, 267, 855, 538, 519, 2013, 540, 8407, 267, 1034, 540, 519, 1344, 538, 20304, 5777, 568, 7561, 1031, 269, 4107, 540, 519, 11731, 538, 6990, 6029, 1164, 4493, 1981, 267, 621, 6920, 602, 11731, 616, 711, 11807, 585, 4493, 9467, 269, 769, 519, 2013, 540, 8407, 267, 4493, 1981, 568, 1447, 982, 5544, 3902, 1981, 267, 865, 782, 1034, 782, 11731, 616, 2111, 547, 2569, 5544, 3902, 1981, 563, 289, 12118, 9467, 1058, 581, 2944, 1310, 6236, 922, 8876, 1942, 282, 6382, 267, 621, 786, 5352, 519, 9271, 593, 9467, 2944, 676, 519, 9520, 563, 1607, 814, 1044, 513, 3391, 547, 1018, 568, 5178, 529, 29665, 269, 3371, 649, 1865, 1806, 267, 7554, 267, 1981, 267, 543, 20304, 540, 4493, 9467, 2059, 609, 2640, 543, 7687, 269, 1411, 949, 1451, 811, 827, 14104, 689, 519, 1739, 4930, 1107, 0, 21296, 13044, 268, 866, 10074, 616, 2324, 741, 1259, 998, 8062, 267, 855, 649, 10093, 1406, 2943, 23125, 856, 1018, 547, 798, 950, 789, 1205, 1934, 269, 17392, 8188, 2930, 2591, 2443, 22520, 540, 4837, 642, 10118, 543, 861, 2590, 525, 616, 2907, 1373, 4080, 2443, 855, 972, 616, 849, 5683, 3761, 844, 663, 2456, 269, 1215, 798, 649, 6430, 945, 4991, 513, 8929, 1101, 888, 2171, 4076, 1044, 1934, 1354, 269, 634, 2063, 942, 10074, 941, 7856, 8015, 513, 6855, 729, 519, 670, 272, 301, 272, 12176, 538, 476, 1220, 280, 269, 968, 1103, 1346, 6381, 267, 519, 3892, 540, 10074, 4769, 1406, 4755, 538, 606, 12581, 1259, 693, 782, 2223, 3081, 4460, 8278, 743, 652, 517, 6874, 1248, 518, 267, 32082, 538, 2564, 1876, 693, 918, 2465, 548, 2160, 563, 10190, 267, 5763, 1512, 2477, 11751, 909, 3761, 3842, 4359, 6718, 11650, 2047, 609, 9755, 269, 2334, 5921, 3384, 2477, 4769, 1406, 1205, 519, 6669, 2394, 2185, 3275, 1310, 621, 3323, 12902, 856, 538, 21950, 6082, 2443, 543, 602, 1152, 5949, 607, 4166, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 7756, 9671, 687, 543, 18321, 692, 8893, 281, 10289, 8567, 543, 13221, 910, 2696, 267, 918, 12609, 267, 543, 20520, 692, 8702, 547, 713, 3078, 3992, 1141, 649, 786, 1451, 827, 1079, 2101, 1158, 10764, 910, 8567, 543, 13221, 256, 5620, 596, 2479, 9289, 875, 1004, 2491, 519, 5137, 540, 519, 7122, 543, 3388, 1472, 721, 286, 4270, 267, 891, 1079, 5132, 338, 723, 2189, 2081, 540, 1620, 713, 9814, 269, 1924, 1577, 781, 4685, 883, 519, 2295, 540, 8567, 543, 13221, 543, 3605, 741, 5784, 593, 5137, 2439, 22146, 640, 281, 589, 5020, 540, 18321, 692, 13731, 2103, 3494, 538, 835, 3532, 267, 15962, 2696, 945, 2813, 519, 30723, 543, 519, 3618, 269, 901, 2696, 568, 899, 513, 2385, 547, 873, 267, 3246, 2648, 267, 5583, 267, 543, 1489, 2429, 741, 2729, 269, 2290, 2442, 4168, 2278, 267, 29849, 808, 269, 645, 3073, 267, 5206, 513, 1433, 1572, 834, 763, 9839, 540, 8567, 2437, 799, 7512, 13794, 547, 2699, 4593, 1478, 741, 5132, 543, 1921, 609, 2696, 593, 513, 2123, 1377, 269, 10271, 7390, 5939, 2533, 267, 1224, 13411, 5931, 630, 3697, 519, 6426, 1070, 7281, 267, 543, 7119, 538, 1434, 1568, 547, 1332, 6251, 547, 2696, 543, 1246, 3571, 10752, 780, 3086, 267, 950, 621, 2501, 547, 5137, 267, 1082, 10271, 3494, 602, 2696, 13948, 2966, 543, 1500, 3388, 538, 519, 1158, 267, 1175, 899, 513, 9952, 7376, 2870, 513, 4190, 7206, 269, 1358, 1289, 713, 3661, 834, 21551, 1143, 1701, 898, 781, 1271, 547, 4063, 602, 972, 616, 1114, 12496, 1369, 8567, 3823, 519, 3877, 540, 5137, 267, 971, 607, 4010, 875, 543, 950, 2696, 1705, 621, 269, 1809, 2949, 267, 789, 3858, 602, 513, 10143, 1373, 267, 2864, 982, 4351, 2621, 610, 2067, 4229, 267, 729, 3297, 519, 4332, 540, 938, 7122, 780, 289, 3291, 11297, 281, 2372, 652, 585, 21654, 692, 4002, 519, 824, 2427, 540, 519, 8608, 267, 6844, 327, 1235, 849, 3343, 2495, 543, 1620, 540, 1272, 269, 5853, 539, 676, 590, 1342, 9618, 15925, 717, 2246, 4821, 630, 10193, 1634, 607, 17700, 264, 936, 476, 273, 267, 4335, 1296, 3516, 267, 13221, 6212, 593, 8236, 21481, 998, 7326, 267, 5683, 2932, 267, 543, 2790, 9015, 269, 9521, 8567, 267, 13221, 3085, 1405, 8209, 4125, 18468, 538, 513, 17082, 5601, 269, 5502, 267, 789, 11168, 1620, 519, 2470, 540, 4641, 543, 1480, 7092, 547, 6038, 1863, 13951, 689, 519, 4783, 540, 32193, 780, 2691, 7234, 5137, 267, 930, 6844, 327, 1235, 10709, 2509, 519, 2856, 540, 834, 330, 1301, 545, 1757, 1275, 257, 3079, 540, 10143, 6304, 269, 901, 1523, 5267, 602, 1169, 2962, 814, 4539, 267, 3056, 547, 2901, 2318, 610, 2942, 4093, 538, 938, 1699, 543, 2104, 2729, 269, 3414, 11009, 267, 9066, 267, 543, 17519, 2713, 267, 6844, 327, 1235, 11441, 547, 1711, 22556, 543, 25273, 538, 741, 3527, 543, 4555, 269, 3683, 942, 267, 891, 27357, 3527, 666, 1291, 547, 5289, 2208, 543, 5555, 267, 21481, 780, 4131, 781, 14424, 2439, 4407, 1312, 8567, 543, 13221, 2709, 4030, 883, 519, 5137, 540, 519, 7122, 543, 6000, 267, 789, 8428, 7494, 538, 741, 4485, 269, 8567, 11414, 602, 513, 10143, 267, 12391, 2696, 2813, 3388, 267, 1247, 13221, 7710, 519, 25029, 540, 737, 12609, 543, 2014, 7146, 13716, 3347, 269, 5637, 10092, 8300, 2043, 547, 2661, 6209, 2729, 2407, 540, 2648, 267, 8296, 267, 543, 1582, 21553, 2889, 22777, 269, 1635, 1565, 827, 1585, 4978, 267, 649, 22962, 938, 20030, 267, 2463, 3309, 16752, 267, 543, 15052, 938, 1620, 540, 8103, 781, 2085, 6040, 2055, 780, 12244, 5384, 281, 5994, 1411, 3657, 513, 29763, 692, 5331, 602, 596, 616, 513, 17082, 267, 1454, 899, 519, 4168, 2696, 267, 3743, 585, 1818, 707, 1360, 1378, 7122, 256, 1548, 1131, 621, 1413, 899, 286, 1215, 1131, 1919, 1599, 286, 2107, 5310, 596, 4782, 3695, 737, 1301, 545, 3123, 543, 2360, 899, 930, 6844, 327, 1235, 1107, 1018, 2186, 540, 1158, 1131, 596, 1711, 1759, 593, 602, 5133, 286, 8571, 610, 2328, 827, 707, 16545, 7122, 543, 2671, 707, 5075, 609, 707, 15032, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 267, 280, 5379, 476, 4037, 275, 476, 273, 11586, 454, 303, 1137, 476, 3422, 8525, 2450, 476, 31256, 269, 7761, 1535, 476, 277, 1321, 533, 1206, 5729, 476, 1220, 279, 454, 763, 9839, 540, 8567, 681, 661, 667, 594, 590, 595, 744, 966, 661, 681, 594, 715, 717, 589, 700, 594, 674, 661, 744, 674, 14174, 594, 570, 670, 29849, 808, 269, 645, 3073, 1280, 594, 651, 543, 27392, 2151, 918, 2086, 2742, 454, 272, 267, 22446, 476, 276, 5655, 476, 277, 1428, 30641, 3367, 811, 454, 763, 9839, 540, 8567, 681, 661, 667, 594, 590, 595, 744, 966, 661, 681, 594, 715, 717, 589, 700, 594, 674, 661, 744, 674, 14174, 594, 570, 670, 29849, 808, 269, 645, 3073, 1280, 594, 651, 543, 27392, 2151, 918, 2086, 2742, 454, 276, 6434, 476, 15647, 476, 277, 1428, 30641, 3367, 811, 454, 289, 3291, 11297, 267, 8567, 543, 519, 7726, 540, 20520, 918, 1301, 545, 610, 23942, 286, 3798, 1243, 676, 25783, 23802, 590, 6224, 300, 2839, 307, 268, 4041, 20084, 5085, 1133, 1853, 31333, 1405, 344, 540, 3794, 454, 272, 267, 280, 1724, 476, 272, 267, 30156, 476, 1626, 11586, 3367, 811, 454, 289, 872, 2677, 335, 664, 1280, 645, 4459, 267, 5221, 596, 4547, 1753, 602, 15291, 782, 1346, 1296, 3516, 543, 1767, 267, 834, 2791, 9364, 1732, 1376, 1603, 454, 4366, 279, 476, 20385, 476, 7785, 30641, 3367, 811, 454, 1607, 2985, 568, 17543, 2451, 10145, 454, 306, 5652, 324, 808, 996, 8643, 12034, 519, 13357, 538, 10143, 12796, 2305, 267, 855, 646, 1281, 811, 982, 16472, 519, 14334, 269, 1261, 3096, 621, 607, 513, 11604, 547, 948, 782, 540, 721, 1265, 10125, 540, 3909, 7082, 1143, 3395, 538, 938, 1378, 12271, 269, 1656, 646, 3096, 519, 1769, 540, 1390, 25598, 543, 5159, 547, 12740, 938, 24738, 547, 1945, 2362, 543, 4514, 543, 9962, 982, 1086, 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, 519, 2663, 1296, 540, 1272, 267, 15185, 1419, 3068, 1007, 2591, 543, 13289, 267, 971, 607, 16468, 4058, 269, 901, 3942, 540, 1272, 666, 581, 1312, 3078, 543, 18447, 267, 607, 621, 3340, 6297, 7156, 540, 2883, 267, 1514, 267, 543, 3929, 2115, 269, 2290, 1259, 547, 1935, 713, 5912, 568, 676, 6313, 922, 4798, 998, 519, 7828, 540, 21576, 267, 4481, 519, 8874, 540, 28601, 8689, 3627, 16110, 269, 19612, 585, 1010, 4190, 3308, 9423, 267, 16110, 781, 960, 2488, 3638, 4030, 883, 3347, 267, 1920, 6384, 267, 543, 2123, 2208, 1282, 2663, 1272, 5933, 780, 26296, 31834, 540, 4825, 790, 618, 12020, 912, 1103, 3627, 16110, 781, 4670, 834, 763, 2372, 2884, 2494, 2437, 1530, 534, 18897, 660, 517, 630, 2452, 539, 676, 3627, 31722, 264, 1427, 2231, 689, 3318, 4216, 532, 547, 2132, 547, 1010, 18577, 1753, 538, 8581, 269, 16270, 12625, 267, 646, 25395, 519, 2956, 540, 5883, 18083, 20617, 269, 4014, 1530, 534, 814, 19017, 5763, 689, 1010, 4876, 267, 646, 8188, 6397, 9276, 1644, 547, 11449, 2244, 267, 2679, 513, 2777, 267, 543, 10188, 2199, 9821, 269, 6684, 267, 13649, 525, 1590, 5402, 1544, 741, 2200, 267, 13326, 2713, 3790, 267, 3782, 267, 12348, 267, 543, 1761, 18002, 269, 12056, 538, 1930, 2792, 827, 7622, 23348, 267, 9541, 267, 543, 2104, 3853, 2337, 2327, 2883, 6617, 2429, 16468, 780, 12892, 22627, 543, 21816, 324, 1359, 912, 293, 867, 781, 7260, 834, 303, 559, 15317, 720, 257, 2934, 513, 3993, 945, 12599, 2066, 519, 2197, 547, 3643, 1200, 5067, 693, 4639, 8672, 9142, 1310, 4743, 9678, 1739, 1200, 9393, 781, 2669, 269, 4438, 1200, 3460, 267, 1352, 3029, 7554, 609, 8284, 17631, 543, 556, 6618, 338, 609, 1200, 1609, 337, 6548, 1126, 269, 19452, 267, 19622, 15185, 1058, 2226, 4540, 17052, 1247, 849, 13197, 1007, 4296, 269, 11835, 1456, 15731, 267, 24749, 267, 10283, 538, 2146, 2621, 267, 543, 2921, 5049, 7512, 6278, 543, 8992, 2790, 8171, 269, 1635, 5807, 6209, 3347, 267, 4587, 4079, 3565, 9797, 547, 2486, 1247, 23429, 741, 1378, 2729, 780, 8867, 15370, 11242, 543, 9608, 12618, 912, 9961, 3627, 16110, 781, 522, 324, 12320, 516, 267, 3197, 7832, 593, 9035, 602, 4161, 873, 9308, 267, 14156, 267, 543, 6457, 1302, 269, 1280, 3236, 267, 538, 834, 25111, 1723, 778, 2437, 513, 3309, 1895, 540, 15915, 15359, 1206, 8594, 1927, 1282, 513, 829, 559, 748, 3460, 267, 6038, 8108, 513, 11215, 2146, 5103, 3355, 3604, 269, 4825, 790, 525, 666, 13974, 2263, 16837, 2238, 602, 6536, 2123, 2208, 267, 1519, 10707, 267, 1565, 4654, 267, 8026, 6575, 543, 13492, 267, 543, 2502, 538, 5026, 269, 1452, 18129, 1832, 8186, 8325, 267, 3895, 2168, 1072, 267, 543, 1683, 3255, 585, 1582, 22523, 780, 10890, 3249, 19047, 912, 2026, 13269, 538, 834, 295, 836, 2006, 781, 5600, 2437, 1141, 606, 10172, 1915, 12066, 956, 609, 19394, 1072, 267, 5466, 2564, 4145, 3587, 5051, 1271, 1282, 2663, 1272, 5933, 269, 8617, 2638, 5725, 267, 15324, 1416, 267, 3635, 267, 543, 1697, 6484, 948, 4383, 5312, 2175, 543, 2087, 2949, 2298, 540, 1272, 269, 3958, 267, 9591, 4434, 1463, 1161, 5849, 1439, 6361, 3734, 16858, 616, 15197, 269, 7046, 5188, 1063, 4891, 3823, 3782, 3664, 6971, 2566, 543, 18791, 3972, 1369, 519, 2078, 780, 10387, 10899, 4270, 7424, 543, 10515, 532, 11150, 912, 6624, 16110, 23233, 1995, 7096, 3929, 14759, 267, 30833, 676, 18279, 962, 528, 651, 781, 4720, 538, 834, 9515, 654, 648, 513, 14117, 25906, 2548, 1701, 2991, 5756, 7674, 538, 519, 4108, 267, 962, 528, 651, 22316, 585, 31587, 16468, 267, 10010, 609, 4606, 540, 2530, 267, 3483, 267, 543, 3961, 269, 19484, 891, 4664, 6707, 7569, 2500, 12003, 2994, 267, 971, 607, 11009, 9066, 267, 30998, 267, 5275, 3797, 267, 543, 4509, 2178, 1489, 5121, 269, 16871, 1689, 2636, 15185, 547, 11349, 30840, 543, 1265, 7772, 538, 1007, 2833, 780, 11328, 23400, 17716, 912, 11990, 16110, 781, 8874, 4749, 6813, 29076, 13218, 267, 10223, 519, 1871, 540, 3838, 7326, 543, 8994, 2463, 1851, 1114, 2085, 2516, 269, 769, 834, 763, 590, 8363, 2437, 6599, 534, 29885, 19707, 585, 1010, 562, 19991, 1310, 1352, 568, 32043, 11474, 676, 7111, 4892, 269, 13966, 2515, 1864, 568, 9410, 623, 1177, 2917, 267, 513, 1762, 812, 6659, 676, 6599, 534, 781, 7015, 269, 10801, 741, 818, 706, 748, 3460, 267, 789, 1451, 689, 1142, 824, 267, 28043, 1252, 1049, 17337, 269, 24771, 4079, 666, 4497, 609, 7820, 5481, 998, 29013, 3292, 267, 6107, 3906, 267, 610, 22686, 3347, 267, 5009, 3444, 14426, 1620, 543, 15364, 2066, 12468, 335, 753, 780, 6962, 912, 18698, 519, 10848, 540, 16468, 4058, 998, 519, 26274, 540, 3627, 16110, 3091, 3407, 4030, 883, 1585, 3344, 540, 2663, 1272, 5933, 269, 11038, 2359, 267, 1514, 4276, 267, 16837, 2238, 267, 3782, 9270, 267, 3929, 8171, 267, 543, 29076, 3347, 782, 1404, 2629, 5107, 538, 4180, 20106, 543, 8788, 1282, 713, 1974, 269, 1635, 7311, 4245, 4121, 689, 16110, 781, 14557, 26517, 25704, 267, 4207, 15185, 666, 6330, 519, 2189, 2591, 4843, 676, 16468, 4058, 267, 6038, 8508, 1007, 20297, 609, 6015, 543, 11419, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11990, 16110, 1923, 23527, 454, 347, 12856, 543, 9452, 570, 2454, 1923, 10439, 13910, 454, 347, 24419, 902, 1923, 3627, 16110, 543, 30129, 667, 9774, 454, 23742, 916, 281, 18135, 697, 1744, 17415, 1923, 21207, 532, 16340, 3118, 454, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 978, 264, 786, 581, 10371, 1031, 543, 519, 3653, 12871, 3135, 14460, 267, 4244, 2409, 540, 2766, 902, 12871, 4154, 5599, 543, 519, 9553, 4742, 513, 6852, 7601, 9553, 267, 519, 533, 978, 454, 1428, 15118, 476, 1001, 273, 2766, 902, 689, 519, 21453, 512, 2664, 7601, 3766, 1245, 9553, 538, 13099, 7699, 1007, 25647, 3542, 1393, 1547, 17453, 5599, 2443, 513, 1505, 540, 10868, 1101, 8246, 1282, 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 ]
[ 314, 20983, 13543, 476, 274, 269, 1724, 744, 300, 3951, 307, 3633, 2639, 763, 11298, 292, 781, 5647, 6578, 9497, 16631, 257, 538, 7612, 476, 274, 269, 1691, 264, 814, 2799, 20406, 538, 2487, 1296, 267, 547, 20430, 476, 276, 269, 272, 5479, 538, 519, 674, 312, 476, 1001, 272, 6578, 7662, 269, 634, 4102, 6578, 782, 23148, 538, 713, 7121, 267, 799, 4564, 827, 835, 3368, 540, 11298, 292, 781, 28251, 22936, 6578, 267, 616, 585, 2596, 1648, 9443, 267, 1164, 1648, 6323, 267, 543, 6211, 543, 2825, 1382, 269, 634, 2229, 4566, 547, 5595, 5092, 538, 2596, 1382, 936, 519, 1985, 2947, 1296, 269, 634, 1292, 6688, 538, 519, 14230, 540, 519, 11298, 292, 781, 1648, 28251, 22936, 6578, 616, 585, 1648, 4398, 267, 7791, 1648, 267, 6046, 1648, 267, 543, 8093, 1648, 630, 611, 341, 2331, 5755, 1922, 340, 8215, 1606, 2448, 338, 267, 543, 595, 5425, 1040, 1677, 2417, 17293, 267, 519, 11298, 292, 814, 16761, 7616, 6392, 547, 1489, 10211, 18715, 540, 20430, 476, 3607, 5479, 585, 1007, 6046, 1379, 2371, 543, 20430, 476, 275, 269, 275, 5479, 585, 7791, 1648, 543, 5201, 6771, 269, 1452, 18715, 616, 5497, 547, 3986, 1569, 547, 8804, 585, 891, 3785, 607, 789, 949, 6382, 723, 7411, 1373, 1710, 2331, 19962, 547, 741, 1164, 1981, 267, 1164, 3854, 8515, 267, 543, 1164, 4110, 540, 3141, 330, 3790, 630, 6518, 6971, 519, 32097, 1871, 540, 971, 7221, 1040, 634, 10029, 814, 849, 6069, 538, 519, 674, 312, 476, 1001, 272, 20907, 547, 9004, 1034, 8093, 1922, 3241, 24307, 676, 10678, 3454, 17099, 4502, 20430, 476, 4375, 5479, 936, 519, 1985, 8717, 267, 538, 1899, 609, 519, 6876, 1851, 717, 736, 2477, 538, 5181, 476, 1220, 280, 547, 5123, 856, 971, 24307, 563, 4407, 519, 4890, 543, 9709, 4679, 538, 1857, 1489, 585, 28251, 22936, 543, 17293, 540, 4066, 547, 2569, 23435, 294, 5434, 616, 3288, 644, 762, 267, 1869, 3677, 4679, 616, 2693, 547, 581, 2838, 547, 723, 513, 1434, 4960, 540, 3384, 14634, 4066, 602, 7494, 2569, 705, 622, 618, 3790, 630, 5408, 1657, 1040, 1677, 2057, 606, 16283, 3761, 540, 3744, 1373, 513, 23061, 593, 971, 513, 1804, 7269, 538, 1312, 1857, 268, 543, 4357, 20589, 28251, 22936, 734, 11004, 568, 2963, 602, 681, 22936, 24307, 666, 5397, 909, 13848, 540, 3744, 2614, 547, 2061, 1713, 4679, 538, 681, 22936, 630, 294, 8962, 23331, 267, 476, 1960, 279, 264, 734, 527, 786, 4440, 581, 2556, 849, 547, 15186, 2333, 9541, 538, 2866, 3744, 563, 2026, 7074, 1657, 267, 519, 2136, 2276, 24625, 919, 609, 824, 2818, 540, 519, 11683, 8859, 625, 17072, 593, 6052, 543, 8693, 547, 3895, 5647, 267, 17293, 543, 1344, 4687, 538, 1970, 23435, 294, 15041, 3827, 4066, 269, 11059, 4566, 723, 1044, 2919, 538, 519, 4066, 2808, 547, 581, 519, 1034, 1271, 585, 4227, 5434, 269, 634, 2136, 2276, 568, 3056, 519, 2962, 4566, 593, 1648, 4398, 538, 519, 5656, 5823, 543, 4853, 5823, 1648, 4398, 269, 630, 276, 994, 21328, 3887, 11797, 6042, 616, 7700, 547, 1942, 15807, 705, 622, 618, 454, 8802, 1637, 666, 849, 581, 513, 1942, 15807, 1935, 547, 4227, 5434, 1141, 1344, 543, 824, 7496, 2061, 2344, 2861, 7405, 689, 2324, 7561, 269, 1280, 1383, 267, 519, 10029, 814, 1044, 14942, 538, 9591, 5934, 1648, 4398, 4441, 585, 5179, 6472, 543, 513, 2647, 3099, 540, 7082, 2472, 543, 5010, 3937, 269, 769, 519, 2013, 540, 5179, 6472, 267, 519, 23654, 19105, 23556, 19004, 630, 7563, 25539, 264, 7939, 9783, 538, 476, 1220, 272, 267, 799, 23616, 4327, 606, 2333, 538, 1007, 6174, 4492, 4346, 4441, 547, 581, 6913, 676, 476, 1220, 278, 267, 729, 835, 540, 519, 15961, 6059, 547, 723, 1500, 519, 6574, 9295, 547, 705, 622, 618, 936, 2487, 1296, 630, 18197, 2276, 4972, 540, 3557, 267, 476, 1220, 278, 1040, 634, 16501, 543, 519, 4972, 540, 13255, 630, 291, 5588, 264, 5063, 9783, 1007, 4745, 6042, 547, 2569, 23435, 294, 5434, 543, 2333, 4492, 4346, 540, 1007, 18213, 6517, 543, 1769, 18114, 4421, 538, 2203, 1296, 476, 1001, 273, 998, 476, 1001, 277, 269, 634, 16501, 3785, 602, 595, 314, 302, 16553, 269, 273, 316, 5434, 829, 13304, 540, 519, 3328, 1007, 1769, 1673, 14280, 6174, 786, 581, 476, 2537, 260, 2539, 676, 476, 1001, 277, 982, 538, 476, 1001, 272, 543, 602, 4492, 9806, 2404, 609, 519, 811, 3608, 23435, 294, 4066, 786, 2484, 29387, 519, 2362, 3355, 6174, 3790, 630, 2421, 476, 1708, 271, 267, 4492, 9806, 630, 520, 840, 2389, 1314, 4492, 5777, 264, 2179, 547, 476, 3374, 269, 278, 5479, 20430, 267, 3379, 609, 6174, 10220, 3790, 630, 1410, 6984, 4492, 9806, 264, 540, 476, 1428, 269, 277, 5479, 20430, 1496, 4785, 7025, 10466, 10837, 267, 476, 1001, 271, 321, 316, 1040, 1452, 9193, 798, 711, 267, 2705, 267, 1450, 585, 519, 2530, 540, 7082, 10304, 689, 8506, 6800, 547, 6718, 811, 4492, 4346, 982, 789, 1131, 15534, 519, 7939, 269, 901, 2530, 568, 2693, 547, 581, 1713, 2016, 602, 6800, 616, 711, 2907, 1166, 12177, 547, 4492, 3608, 3631, 585, 799, 3063, 2029, 3790, 616, 811, 982, 9104, 730, 676, 4492, 9806, 630, 10472, 7613, 568, 3006, 5219, 547, 607, 519, 834, 21328, 21537, 2135, 20257, 5518, 15525, 849, 9783, 606, 15445, 11352, 538, 476, 1220, 280, 8506, 5313, 8041, 547, 1305, 543, 2743, 7453, 23435, 294, 5786, 9072, 676, 476, 1708, 271, 269, 1261, 849, 1572, 585, 811, 10728, 4398, 4441, 585, 1455, 7622, 14233, 543, 2322, 538, 5163, 513, 10872, 547, 1930, 519, 9018, 18626, 15808, 547, 7791, 1648, 2504, 563, 26765, 529, 3175, 2059, 519, 3515, 540, 519, 1977, 11162, 6052, 543, 8232, 2920, 540, 476, 1220, 280, 630, 3722, 2464, 264, 1131, 1683, 513, 3280, 4493, 585, 8236, 1942, 15807, 705, 622, 618, 454, 763, 5600, 540, 24929, 814, 5293, 9086, 630, 1492, 1977, 11162, 6052, 543, 8232, 2920, 540, 476, 1220, 280, 267, 8028, 2464, 264, 602, 3568, 513, 1698, 7146, 2389, 8565, 10872, 8720, 476, 5952, 260, 540, 2475, 5434, 676, 476, 1001, 277, 602, 1131, 5838, 519, 23435, 294, 15041, 2153, 20214, 1129, 6817, 538, 10515, 32683, 630, 1704, 260, 2630, 519, 476, 1220, 276, 1377, 676, 476, 1708, 271, 543, 476, 10695, 260, 2630, 676, 476, 13078, 271, 1070, 543, 519, 14130, 5189, 513, 1007, 2916, 3915, 630, 1492, 1977, 5295, 2920, 267, 23032, 676, 7354, 2209, 23715, 787, 543, 17389, 828, 2006, 264, 538, 2904, 476, 1001, 271, 602, 568, 17618, 2147, 267, 4352, 621, 814, 711, 581, 5293, 19962, 547, 13385, 1489, 538, 519, 14130, 269, 6987, 2400, 9382, 540, 8028, 2464, 5031, 513, 1297, 540, 4245, 602, 666, 1217, 9777, 2209, 607, 789, 6430, 2436, 610, 711, 547, 1489, 2104, 2916, 268, 4219, 9086, 269, 634, 2804, 3790, 540, 4227, 23435, 294, 5434, 616, 16434, 950, 513, 3102, 1935, 568, 7550, 267, 519, 8998, 12328, 540, 799, 568, 519, 14499, 540, 23435, 294, 5434, 269, 634, 595, 19447, 630, 1220, 280, 264, 9193, 602, 12654, 1131, 581, 476, 272, 269, 272, 260, 547, 476, 274, 269, 275, 260, 2539, 538, 476, 13078, 271, 982, 593, 513, 22601, 308, 4493, 941, 8028, 2464, 547, 581, 5293, 630, 8368, 476, 274, 269, 274, 1070, 799, 14687, 547, 513, 6263, 5786, 538, 5993, 12654, 2208, 269, 630, 277, 264, 595, 19447, 630, 1220, 280, 264, 849, 20147, 602, 5993, 13781, 24826, 3361, 676, 3102, 2916, 268, 4219, 9086, 1131, 581, 1507, 3379, 609, 1018, 7363, 4386, 1317, 972, 616, 1906, 4600, 538, 1648, 25673, 9922, 543, 1689, 4386, 936, 513, 1279, 1974, 269, 14847, 4369, 268, 543, 7694, 5222, 538, 1648, 25673, 543, 5924, 4123, 7721, 12723, 9922, 630, 6518, 2272, 585, 476, 1015, 260, 540, 5434, 543, 476, 271, 269, 276, 260, 540, 1875, 1922, 1301, 7694, 264, 616, 8766, 952, 789, 616, 2016, 3977, 2861, 782, 23148, 540, 12998, 14998, 1863, 540, 5279, 630, 11328, 5025, 11765, 7797, 267, 476, 1220, 280, 1040, 7053, 519, 8473, 2389, 1314, 14194, 3286, 618, 630, 6630, 288, 267, 1104, 12375, 26550, 1221, 676, 2477, 602, 3902, 23435, 294, 5434, 593, 5370, 14475, 538, 2477, 602, 798, 711, 264, 14074, 538, 519, 8028, 2464, 9086, 5293, 676, 519, 5600, 540, 24929, 1131, 581, 14427, 547, 519, 4346, 267, 7892, 8271, 24675, 727, 547, 2936, 267, 616, 12691, 547, 581, 3811, 693, 7863, 6469, 6080, 689, 2841, 4369, 5222, 267, 543, 949, 711, 581, 519, 1034, 2500, 1797, 540, 5466, 24694, 630, 302, 25929, 267, 476, 1220, 280, 1040, 634, 14130, 3915, 814, 1454, 811, 8465, 1893, 593, 713, 4395, 267, 4352, 607, 7074, 1657, 267, 972, 814, 711, 1044, 2614, 1489, 538, 519, 14130, 547, 1780, 713, 3915, 563, 3080, 2460, 540, 8236, 16434, 705, 622, 618, 3790, 568, 519, 8244, 540, 513, 1804, 3761, 540, 3486, 13726, 1115, 630, 328, 4318, 1421, 12998, 20214, 689, 4914, 2959, 711, 1641, 547, 12998, 11503, 602, 666, 581, 1031, 676, 513, 4988, 11769, 2509, 922, 12998, 11863, 4170, 264, 3177, 602, 789, 616, 1641, 547, 7453, 23388, 543, 616, 2357, 16666, 547, 2327, 602, 789, 2099, 9758, 20214, 689, 1870, 23829, 268, 639, 783, 630, 320, 6161, 609, 13726, 1115, 568, 602, 789, 949, 581, 1641, 547, 12611, 543, 5595, 10203, 1040, 1280, 1383, 267, 8028, 2464, 14998, 513, 1804, 3761, 540, 3486, 13726, 1115, 547, 4283, 519, 1062, 1142, 1032, 630, 1575, 547, 476, 272, 269, 276, 717, 339, 290, 314, 302, 16553, 269, 273, 316, 268, 3225, 20884, 267, 31680, 676, 476, 1839, 260, 689, 476, 1001, 278, 1040, 630, 278, 264, 634, 2475, 16501, 630, 1001, 271, 322, 264, 3785, 602, 4988, 9988, 1131, 1118, 8101, 946, 540, 873, 630, 27665, 532, 585, 476, 3451, 260, 540, 19469, 705, 622, 618, 936, 476, 1001, 273, 268, 2004, 264, 855, 1131, 711, 5734, 519, 6165, 23061, 1282, 519, 1101, 3368, 540, 519, 2540, 269, 9182, 267, 11863, 5777, 1131, 3160, 3486, 15558, 5777, 630, 4785, 291, 476, 1691, 829, 9522, 928, 540, 595, 314, 302, 16553, 269, 273, 316, 552, 336, 269, 538, 476, 1001, 273, 267, 8375, 547, 20430, 476, 3583, 538, 476, 13078, 271, 538, 476, 1220, 276, 5777, 264, 14661, 585, 519, 10958, 3815, 269, 769, 519, 9000, 540, 3486, 13726, 1115, 267, 2705, 267, 11863, 5777, 1131, 581, 909, 547, 476, 5611, 260, 2362, 676, 476, 13078, 271, 282, 593, 519, 824, 1688, 267, 3274, 8488, 532, 3486, 13726, 1115, 814, 513, 1454, 811, 16434, 1764, 269, 901, 2306, 621, 1271, 585, 519, 2475, 2229, 547, 1489, 1617, 10561, 3646, 2509, 22541, 5434, 5464, 538, 3384, 2477, 543, 547, 1020, 5823, 531, 610, 1256, 2197, 2861, 4485, 547, 2327, 602, 513, 1804, 3761, 540, 9758, 13726, 1115, 568, 2139, 952, 3102, 2916, 268, 4219, 9086, 568, 5293, 269, 1703, 1131, 849, 581, 1454, 547, 2744, 689, 2324, 609, 4914, 6608, 547, 11745, 1047, 3084, 1698, 7146, 2389, 8565, 15961, 865, 602, 789, 666, 5555, 581, 5532, 269, 2353, 540, 891, 3800, 1131, 948, 547, 2327, 602, 705, 622, 618, 4386, 1141, 621, 568, 10464, 652, 2864, 982, 1141, 621, 568, 1373, 6976, 585, 269, 769, 519, 4527, 540, 606, 7850, 3761, 540, 3486, 13726, 1115, 267, 519, 8744, 593, 3613, 3195, 540, 12539, 12650, 675, 543, 19554, 630, 290, 5425, 264, 5201, 5108, 4390, 543, 5924, 540, 811, 6046, 1379, 568, 711, 513, 2565, 3815, 538, 5627, 705, 622, 618, 3790, 630, 1492, 16501, 9193, 602, 11863, 5777, 1131, 1152, 581, 476, 1428, 260, 2362, 982, 6382, 1040, 1717, 267, 538, 519, 9000, 540, 3486, 13726, 1115, 267, 891, 4066, 1118, 513, 1804, 3017, 547, 705, 622, 618, 3790, 630, 704, 2466, 5777, 1131, 581, 476, 3199, 6871, 2798, 2362, 676, 476, 13078, 271, 267, 8744, 519, 2698, 2333, 547, 476, 15996, 260, 1657, 519, 4704, 9183, 1040, 17859, 540, 2436, 610, 711, 972, 616, 3486, 13726, 1115, 267, 8028, 2464, 1131, 2099, 513, 5266, 1970, 21057, 1935, 547, 4227, 5434, 563, 5194, 3390, 585, 9777, 2209, 547, 2015, 952, 789, 9772, 513, 1698, 7146, 2389, 8565, 10325, 568, 519, 6708, 547, 799, 14998, 786, 581, 9783, 1863, 540, 5279, 269, 634, 811, 14998, 602, 616, 2016, 2476, 267, 519, 1447, 9165, 972, 568, 547, 946, 19614, 689, 27108, 14193, 2388, 547, 2569, 824, 9204, 602, 1253, 677, 2804, 2534, 811, 267, 2810, 519, 2949, 2804, 3790, 540, 4227, 23435, 294, 5434, 269, 769, 2070, 540, 519, 991, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5411, 1317, 540, 741, 6505, 15437, 543, 911, 4979, 24725, 1710, 269, 1717, 789, 616, 711, 528, 13124, 2352, 547, 1832, 9800, 267, 789, 666, 581, 1360, 4584, 344, 3548, 619, 543, 2154, 1804, 13688, 607, 1134, 607, 1434, 1216, 2298, 563, 300, 3233, 880, 16740, 11169, 19898, 585, 1272, 269, 634, 5305, 741, 5798, 547, 20847, 1141, 789, 20847, 2394, 741, 16793, 10301, 827, 476, 278, 9492, 610, 476, 274, 514, 267, 950, 789, 607, 5104, 32596, 1376, 547, 7669, 593, 741, 1378, 543, 1020, 883, 9921, 4079, 563, 4322, 12345, 616, 513, 1390, 26497, 950, 596, 1205, 835, 602, 568, 6967, 1869, 2614, 585, 596, 547, 1205, 513, 1434, 1413, 621, 269, 3776, 4129, 2141, 6376, 543, 3314, 519, 7237, 607, 835, 547, 3314, 585, 1296, 547, 2097, 563, 2467, 568, 1100, 11842, 875, 713, 3165, 3893, 922, 2012, 267, 922, 2462, 2647, 6366, 2212, 543, 519, 1259, 621, 1568, 922, 1259, 2066, 519, 5070, 5693, 18613, 513, 15524, 767, 269, 1358, 616, 849, 1634, 607, 519, 13176, 8127, 269, 18391, 899, 513, 3444, 1063, 16356, 267, 18422, 543, 3165, 519, 15524, 767, 333, 846, 18422, 568, 1945, 4625, 1114, 563, 763, 15524, 767, 333, 846, 18422, 22655, 1507, 12933, 30702, 543, 616, 4061, 2938, 1472, 519, 3490, 540, 18625, 543, 6371, 344, 4262, 15135, 269, 1879, 711, 8023, 789, 899, 824, 12345, 789, 4043, 547, 30565, 2933, 538, 519, 5070, 269, 1924, 950, 11362, 5329, 513, 2673, 3750, 856, 543, 9878, 2673, 3007, 547, 707, 10450, 596, 949, 6952, 835, 540, 891, 16921, 669, 3739, 856, 538, 519, 5070, 269, 1809, 3251, 2476, 607, 789, 616, 4626, 573, 7068, 543, 786, 4440, 1491, 1055, 607, 4166, 607, 596, 1935, 267, 865, 1175, 2638, 873, 856, 689, 513, 3845, 563, 763, 15524, 767, 333, 846, 18422, 3947, 4332, 547, 2661, 1762, 543, 1419, 21054, 267, 9811, 1079, 693, 513, 942, 269, 634, 1762, 7363, 3251, 1472, 519, 1858, 540, 741, 4332, 2394, 789, 9921, 543, 1376, 547, 32603, 1055, 543, 2263, 2127, 540, 741, 1378, 269, 1358, 666, 1332, 909, 547, 827, 476, 272, 269, 279, 332, 610, 476, 277, 1111, 543, 723, 827, 476, 4792, 268, 3583, 9343, 540, 4522, 563, 8722, 1430, 25578, 630, 26199, 7731, 281, 9197, 27546, 264, 616, 835, 540, 519, 1034, 12560, 543, 4190, 5182, 8127, 269, 1358, 616, 513, 1455, 543, 9735, 8289, 593, 519, 4279, 4446, 8175, 24035, 269, 1703, 616, 936, 476, 5197, 271, 2249, 540, 5182, 8127, 11451, 2713, 538, 519, 13719, 652, 7297, 1524, 547, 476, 7785, 271, 7397, 630, 1220, 876, 1111, 264, 2620, 269, 3171, 1430, 6801, 1118, 909, 1152, 1175, 936, 476, 4335, 2249, 540, 519, 3003, 5182, 8127, 1920, 563, 763, 13692, 5182, 8127, 946, 713, 7916, 547, 6882, 519, 1426, 689, 519, 8429, 14768, 543, 1287, 1780, 621, 1524, 547, 972, 5023, 269, 15020, 1114, 689, 519, 2757, 5182, 8127, 602, 20555, 689, 519, 5377, 543, 7575, 2059, 519, 2666, 547, 3049, 269, 634, 13692, 5182, 814, 968, 10623, 564, 892, 1572, 4963, 686, 602, 568, 3096, 547, 16289, 3294, 547, 10178, 14147, 267, 610, 824, 829, 2583, 1141, 621, 666, 3049, 689, 513, 8799, 8429, 1699, 563, 5445, 849, 723, 1082, 811, 1287, 519, 2757, 476, 276, 7916, 2404, 609, 513, 5182, 8127, 269, 634, 2179, 540, 7916, 4096, 593, 519, 2249, 543, 1072, 540, 519, 5182, 8127, 267, 1034, 2249, 723, 1472, 476, 736, 7916, 1247, 930, 666, 723, 936, 476, 1220, 269, 1452, 7916, 616, 4988, 609, 513, 20202, 6219, 799, 621, 3096, 547, 948, 6952, 519, 8429, 1426, 543, 1780, 621, 1524, 519, 6801, 5023, 269, 898, 568, 1271, 711, 547, 6023, 891, 6801, 607, 596, 666, 16094, 7519, 741, 8023, 952, 789, 616, 812, 11804, 1194, 563, 1432, 22655, 891, 5182, 8127, 267, 1134, 1034, 3165, 4734, 873, 4805, 269, 9320, 789, 616, 1932, 12560, 267, 4190, 610, 11419, 995, 547, 3548, 888, 5445, 9742, 676, 16089, 14203, 543, 5798, 883, 519, 4478, 1216, 269, 634, 5798, 24011, 547, 3132, 513, 12586, 9366, 602, 1310, 513, 1906, 2395, 10581, 1524, 547, 519, 5836, 6989, 610, 11818, 1141, 621, 25457, 513, 23009, 2670, 547, 519, 2937, 1106, 563, 1607, 3165, 814, 606, 6654, 6935, 547, 621, 779, 2012, 543, 7180, 269, 898, 1219, 1742, 3294, 676, 4870, 908, 3294, 543, 8108, 513, 17891, 676, 647, 9535, 538, 1804, 5666, 540, 1216, 610, 2011, 269, 898, 568, 711, 1434, 547, 1118, 873, 4870, 622, 2933, 585, 519, 31768, 540, 4129, 610, 593, 19972, 619, 269, 898, 4025, 1804, 17613, 593, 519, 25858, 518, 1922, 880, 563, 16352, 11262, 513, 7008, 540, 873, 538, 606, 16983, 607, 1134, 607, 7487, 873, 538, 519, 5836, 267, 789, 723, 513, 9522, 540, 7209, 269, 634, 16168, 10977, 5163, 543, 7874, 7180, 1439, 792, 2933, 547, 3025, 3592, 5612, 269, 623, 4428, 619, 616, 2111, 547, 1847, 741, 4064, 10446, 267, 1175, 547, 1039, 1945, 3116, 547, 2638, 856, 950, 31986, 891, 3165, 269, 3509, 2249, 666, 1689, 519, 2681, 610, 3270, 540, 741, 2960, 547, 6474, 741, 5054, 454, 14582, 10079, 621, 610, 711, 972, 616, 476, 13199, 1114, 1826, 540, 25858, 518, 3165, 1472, 519, 8608, 269, 898, 4667, 936, 4870, 908, 707, 24178, 4667, 547, 581, 513, 2442, 20237, 10876, 269, 1411, 786, 1265, 519, 1034, 8390, 538, 2249, 1472, 9341, 6753, 543, 519, 16830, 543, 5757, 6753, 4043, 547, 723, 1152, 513, 835, 610, 513, 1906, 2249, 538, 1142, 4087, 269, 4107, 1004, 2736, 25858, 619, 883, 1079, 1292, 6688, 519, 3044, 25858, 518, 543, 11188, 24189, 710, 799, 814, 838, 1149, 602, 1796, 593, 1439, 607, 519, 3165, 4870, 919, 3294, 563, 5445, 616, 711, 606, 989, 4809, 3165, 543, 8878, 568, 5631, 1759, 593, 519, 25858, 518, 2962, 610, 676, 621, 779, 17145, 602, 3568, 513, 14686, 25560, 269, 3117, 30872, 513, 29535, 2329, 267, 519, 5779, 814, 547, 5423, 1175, 1318, 610, 596, 786, 1745, 519, 2360, 540, 713, 8914, 269, 1809, 875, 1223, 596, 3548, 713, 20036, 2370, 535, 7578, 538, 519, 1101, 1747, 286, 0, 20007, 673, 1160, 27760, 540, 674, 269, 700, 1052, 267, 966, 269, 16549, 21754, 267, 543, 966, 269, 1744, 11017, 601, 267, 1412, 293, 2153, 540, 28800, 1756, 1772, 582, 8554, 676, 4635, 6396, 540, 4856, 2723, 529, 24665, 566, 7055, 298, 327, 1046, 990, 4659, 3744, 6069, 538, 713, 3561, 519, 6405, 3268, 547, 1628, 513, 6046, 14049, 269, 634, 3561, 9727, 602, 21977, 21575, 6956, 875, 547, 4309, 9604, 3446, 20879, 543, 11840, 730, 6405, 2930, 18747, 547, 3035, 713, 3804, 998, 20879, 23918, 538, 1298, 17287, 4007, 563, 19751, 476, 1704, 267, 476, 3707, 271, 454, 5141, 2727, 585, 606, 769, 3685, 689, 966, 269, 16549, 21754, 543, 966, 269, 1744, 11017, 601, 267, 1412, 10666, 4635, 540, 28800, 1756, 607, 606, 4112, 657, 633, 543, 24768, 32652, 7055, 1103, 713, 4484, 1079, 6046, 3744, 689, 30892, 4942, 307, 4330, 519, 4070, 540, 519, 6046, 10514, 543, 6069, 547, 1376, 2238, 538, 6721, 540, 519, 6046, 19070, 531, 543, 1118, 891, 2238, 5728, 269, 5565, 21977, 21575, 941, 1101, 8168, 3744, 945, 7000, 519, 1505, 540, 6721, 513, 6046, 14049, 630, 1993, 1576, 789, 1705, 711, 917, 827, 519, 2147, 18563, 540, 7262, 3744, 799, 941, 1500, 693, 519, 1482, 942, 896, 1390, 9658, 1097, 1916, 4131, 614, 689, 966, 6993, 269, 16549, 21754, 547, 4658, 779, 2155, 1170, 541, 540, 4347, 775, 540, 28268, 267, 1412, 10666, 3026, 947, 640, 547, 5029, 1125, 11242, 538, 4635, 540, 26994, 6052, 538, 519, 13639, 17644, 7055, 1103, 713, 4484, 689, 8841, 16549, 21754, 547, 4658, 781, 2155, 529, 541, 540, 4347, 775, 267, 15794, 531, 7033, 657, 1156, 14150, 267, 16549, 21754, 2306, 835, 3803, 3801, 547, 22321, 8168, 5718, 547, 1376, 513, 4108, 6046, 1982, 267, 5103, 519, 2178, 9880, 689, 3056, 18293, 3744, 4724, 519, 2856, 269, 0, 294, 3918, 11061, 4530, 6657, 3883, 454, 21812, 281, 12409, 13281, 6796, 476, 1220, 273, 454, 10831, 540, 3817, 281, 476, 6795, 454, 1607, 1863, 24321, 2259, 1433, 3568, 835, 4890, 267, 2407, 27480, 24321, 11061, 4530, 543, 1449, 23824, 2994, 269, 1411, 666, 1831, 5432, 609, 1449, 2497, 267, 1543, 267, 1449, 5528, 543, 16460, 5773, 269, 634, 1449, 5161, 540, 827, 476, 15793, 2789, 31547, 2055, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 1325, 2581, 16026, 910, 2817, 23941, 540, 2657, 454, 5804, 519, 3349, 540, 9115, 281, 8376, 1862, 21694, 1862, 12017, 518, 1862, 6820, 8337, 282, 589, 2388, 543, 1234, 13905, 282, 1411, 3657, 1548, 1411, 16202, 256, 282, 15346, 13088, 282, 7186, 781, 15733, 282, 11061, 1862, 1280, 513, 2657, 1512, 2622, 282, 11061, 2725, 1115, 6925, 282, 1548, 1772, 11061, 888, 2421, 3004, 1097, 623, 537, 3149, 523, 910, 7046, 4065, 6828, 454, 6944, 757, 281, 634, 12856, 540, 519, 2311, 558, 282, 9257, 540, 519, 15689, 282, 2677, 21564, 3281, 2432, 282, 9046, 14572, 543, 519, 631, 1961, 282, 631, 4869, 999, 543, 4256, 16544, 282, 2677, 21564, 11906, 1234, 13905, 282, 3600, 1749, 543, 645, 1162, 282, 6052, 540, 11906, 15448, 282, 17437, 15448, 282, 717, 1162, 563, 2421, 7931, 664, 661, 3149, 1515, 910, 3883, 289, 3019, 454, 1607, 1433, 568, 827, 4909, 2035, 602, 1022, 7998, 2875, 1058, 711, 1152, 581, 3222, 540, 855, 21295, 693, 269, 898, 9388, 609, 519, 2829, 540, 2339, 267, 519, 3727, 267, 519, 5546, 540, 6675, 267, 519, 2609, 543, 741, 3601, 538, 519, 13350, 3349, 267, 3092, 563, 2421, 590, 648, 333, 623, 8692, 2142, 1512, 910, 3883, 289, 3019, 454, 16978, 29182, 9141, 9245, 3157, 786, 581, 5189, 538, 713, 1433, 269, 12830, 2474, 971, 607, 2565, 1699, 5860, 267, 964, 531, 1588, 4110, 267, 543, 1699, 4398, 786, 581, 4330, 998, 12383, 543, 513, 1804, 2179, 540, 1806, 269, 0, 306, 12944, 267, 476, 2767, 4989, 476, 1001, 280, 454, 763, 4605, 2982, 5494, 582, 1886, 2572, 32647, 269, 5070, 1782, 18424, 269, 898, 729, 1336, 693, 519, 5929, 631, 976, 16515, 1998, 3135, 13883, 693, 519, 22341, 1315, 289, 822, 4115, 8473, 3148, 5045, 540, 6428, 345, 7921, 269, 12025, 540, 519, 16139, 1355, 568, 827, 476, 278, 9492, 269, 901, 1858, 540, 519, 1158, 19646, 835, 540, 519, 29659, 12074, 540, 10222, 26226, 16139, 924, 4559, 2443, 811, 982, 2947, 4627, 15999, 16139, 924, 2249, 616, 1336, 1934, 2059, 609, 513, 4129, 1881, 5542, 540, 524, 31525, 641, 617, 21426, 2443, 9647, 665, 518, 520, 1749, 267, 562, 2246, 559, 6950, 267, 16139, 6950, 2443, 649, 849, 1294, 8819, 1886, 16104, 267, 536, 2526, 1407, 630, 525, 335, 269, 10300, 11893, 1749, 1070, 2909, 577, 11340, 16104, 267, 1835, 27546, 543, 513, 1906, 27712, 269, 1280, 2890, 17304, 10044, 267, 649, 1294, 598, 617, 20184, 267, 585, 3133, 32070, 267, 26703, 838, 545, 2737, 267, 2234, 2723, 7559, 267, 13735, 1835, 27546, 543, 2868, 1054, 584, 1014, 521, 13406, 2572, 2443, 25168, 6438, 267, 2571, 1532, 617, 1221, 834, 11988, 344, 257, 23787, 24260, 20192, 3626, 15605, 753, 269, 0, 16446, 1656, 9791, 22175, 16443, 7433, 454, 3963, 946, 2699, 1396, 16443, 1957, 543, 4544, 1957, 950, 4152, 6878, 609, 1396, 16443, 1957, 888, 2791, 1058, 2141, 1449, 1312, 267, 607, 1210, 1175, 835, 786, 711, 1683, 2614, 1344, 827, 519, 6219, 563, 2026, 606, 1383, 269, 14597, 596, 4235, 3679, 3267, 513, 7484, 540, 10538, 10433, 543, 1616, 547, 917, 952, 621, 568, 11877, 269, 1548, 952, 596, 12628, 513, 6656, 540, 2699, 1957, 543, 1152, 2699, 1957, 286, 634, 2681, 540, 519, 1957, 1281, 711, 1689, 256, 1411, 1058, 849, 946, 4544, 1957, 547, 2638, 585, 3679, 563, 1432, 952, 596, 723, 513, 4837, 540, 1216, 543, 585, 930, 2601, 596, 1810, 1405, 917, 1946, 621, 781, 9243, 286, 1403, 596, 1152, 946, 513, 6656, 540, 4544, 1396, 16443, 1957, 267, 596, 786, 1265, 602, 621, 786, 711, 1689, 2681, 543, 2161, 267, 8423, 267, 602, 1797, 621, 781, 2653, 269, 901, 2110, 5765, 568, 5693, 4636, 269, 1411, 1058, 849, 946, 2699, 1396, 16443, 1957, 547, 2638, 602, 4986, 814, 4957, 543, 602, 519, 6219, 568, 9243, 563, 1432, 952, 2576, 4280, 827, 707, 1973, 9063, 286, 1403, 596, 4769, 1405, 917, 621, 729, 1063, 476, 278, 281, 3374, 543, 476, 278, 281, 3393, 538, 519, 6640, 267, 596, 4440, 4769, 1405, 8275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 341, 284, 11586, 298, 305, 327, 332, 27219, 313, 309, 342, 286, 2246, 6955, 599, 284, 272, 2580, 1007, 284, 272, 3418, 18851, 5897, 5897, 28343, 318, 27165, 26509, 23026, 6358, 14052, 0, 258, 901, 568, 1360, 2241, 1982, 2854, 538, 5124, 1893, 1547, 8528, 2745, 2891, 2080, 568, 1250, 3689, 7084, 538, 5124, 267, 513, 11822, 1608, 15975, 15419, 333, 1962, 272, 284, 703, 9272, 2891, 11767, 3689, 10025, 6889, 4917, 333, 1962, 273, 284, 703, 9272, 2891, 11767, 5822, 10025, 6889, 11723, 258, 674, 2863, 542, 8847, 692, 3698, 1840, 263, 1998, 272, 267, 1130, 273, 2187, 825, 1267, 284, 1998, 272, 266, 1998, 273, 454, 825, 2132, 1267, 454, 3698, 12408, 263, 1998, 272, 267, 1130, 273, 2187, 825, 1267, 284, 1998, 272, 29705, 273, 454, 825, 2132, 1267, 454, 3698, 8691, 263, 1998, 272, 267, 1130, 273, 2187, 825, 1267, 284, 1998, 272, 265, 1998, 273, 454, 825, 2132, 1267, 454, 3698, 6498, 263, 1998, 272, 267, 1130, 273, 2187, 825, 1267, 284, 1998, 272, 270, 1998, 273, 454, 825, 2132, 1267, 692, 258, 901, 476, 3296, 568, 827, 476, 5542, 540, 7358, 1807, 692, 2745, 2891, 15675, 5106, 607, 1739, 5602, 2745, 2891, 11767, 476, 272, 585, 5410, 5602, 2745, 2891, 11767, 476, 273, 585, 16265, 847, 5602, 2745, 2891, 11767, 476, 274, 585, 25092, 5602, 2745, 2891, 11767, 476, 275, 585, 19147, 5602, 258, 6875, 3403, 689, 519, 3593, 585, 5106, 5542, 454, 3097, 572, 937, 815, 3403, 2891, 11767, 3903, 263, 272, 270, 273, 270, 274, 270, 275, 2567, 5602, 604, 2824, 2652, 1412, 272, 12466, 1363, 1820, 3799, 1962, 272, 2437, 266, 2580, 333, 1962, 273, 2437, 284, 2580, 1840, 3799, 1962, 272, 19885, 1962, 273, 4917, 19197, 2824, 2652, 1412, 273, 12466, 1363, 1820, 3799, 1962, 272, 2437, 268, 2580, 333, 1962, 273, 2437, 284, 2580, 12408, 3799, 1962, 272, 19885, 1962, 273, 4917, 19197, 2824, 2652, 1412, 274, 12466, 1363, 1820, 3799, 1962, 272, 2437, 265, 2580, 333, 1962, 273, 2437, 284, 2580, 8691, 3799, 1962, 272, 19885, 1962, 273, 4917, 19197, 2824, 2652, 1412, 275, 12466, 1363, 1820, 3799, 1962, 272, 2437, 270, 2580, 333, 1962, 273, 2437, 284, 2580, 6498, 3799, 1962, 272, 19885, 1962, 273, 4917, 12828, 912, 1363, 1820, 2891, 2791, 5697, 4636, 4781, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2582, 24255, 267, 11408, 267, 799, 2306, 2472, 585, 28689, 267, 6569, 519, 4775, 3090, 630, 27501, 478, 264, 689, 621, 779, 24386, 1317, 621, 1055, 2105, 14108, 908, 2021, 945, 1589, 789, 2461, 2367, 269, 634, 2034, 1650, 7000, 602, 513, 7147, 21139, 630, 14386, 12199, 1996, 513, 812, 945, 729, 3843, 547, 2061, 1010, 21173, 608, 2914, 1057, 689, 7432, 741, 5067, 883, 513, 8004, 269, 14608, 14688, 267, 950, 519, 7911, 729, 609, 1010, 4651, 267, 646, 729, 9985, 6126, 1373, 513, 7911, 563, 296, 337, 330, 539, 676, 891, 2984, 267, 594, 1305, 827, 21130, 519, 1344, 594, 19632, 585, 930, 1093, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 2878, 20597, 1638, 12476, 17889, 281, 1323, 29055, 17714, 883, 519, 5274, 10610, 4373, 5970, 596, 2479, 9289, 1018, 781, 3330, 707, 15693, 286, 2986, 1576, 267, 596, 917, 621, 781, 1141, 707, 2634, 2729, 256, 1809, 972, 781, 865, 1454, 811, 2469, 593, 909, 972, 602, 649, 1810, 1405, 1419, 1589, 827, 269, 2659, 15693, 849, 14014, 1082, 1271, 13285, 267, 1973, 8043, 267, 543, 824, 3889, 269, 6884, 267, 1498, 267, 891, 4105, 3334, 991, 2564, 3007, 1813, 547, 5945, 267, 4576, 267, 610, 9402, 1332, 2195, 899, 12970, 269, 2334, 781, 950, 9952, 7189, 1572, 5778, 338, 25973, 976, 1685, 513, 5650, 1572, 15693, 3490, 6391, 780, 5331, 1373, 513, 5778, 338, 25973, 517, 585, 513, 4090, 269, 1411, 2811, 899, 513, 19792, 3843, 547, 4194, 513, 9814, 2620, 1369, 519, 1480, 1560, 269, 1677, 798, 713, 267, 596, 1590, 1101, 1174, 782, 519, 10881, 543, 2645, 693, 707, 12871, 269, 2913, 781, 2263, 930, 1898, 3344, 540, 15693, 3490, 6391, 1927, 2439, 2162, 1548, 568, 519, 4787, 1638, 12476, 2496, 763, 15693, 3490, 568, 519, 2539, 6712, 540, 707, 15693, 602, 3029, 513, 11064, 1063, 707, 2634, 543, 3068, 269, 898, 8075, 1896, 2565, 2694, 971, 607, 1384, 265, 715, 12883, 9013, 8289, 630, 641, 6776, 8229, 1070, 6217, 630, 7596, 7480, 8229, 1070, 9329, 630, 565, 16371, 8229, 1070, 11132, 5322, 267, 543, 6492, 563, 265, 10552, 8043, 3743, 585, 23478, 5135, 543, 5567, 547, 519, 2634, 563, 265, 3794, 1343, 6721, 10399, 2556, 585, 938, 4703, 547, 1599, 7157, 780, 7712, 1585, 10347, 8031, 21078, 1934, 267, 23262, 1590, 581, 5393, 6297, 1282, 4238, 269, 1358, 946, 7463, 2553, 543, 3937, 547, 6330, 998, 1950, 8574, 1811, 1247, 10893, 2800, 547, 4478, 2127, 780, 2162, 4208, 9524, 4787, 1638, 12476, 17889, 2496, 32507, 338, 25973, 976, 949, 4363, 15693, 3490, 6391, 585, 1114, 4128, 267, 1519, 8156, 1384, 265, 11020, 12970, 2282, 519, 15693, 3490, 454, 265, 2806, 7538, 1973, 6077, 21272, 630, 2033, 584, 903, 916, 994, 265, 623, 15856, 3202, 14189, 4713, 454, 265, 15742, 2010, 540, 20560, 454, 265, 32035, 7133, 519, 15693, 3490, 692, 3528, 7900, 713, 1826, 540, 6391, 267, 7189, 2832, 547, 13468, 2589, 267, 2061, 2417, 3441, 267, 543, 2087, 2550, 262, 2949, 2298, 540, 1272, 780, 2162, 1215, 1772, 4787, 1638, 12476, 17889, 9524, 539, 2496, 2467, 616, 1079, 3119, 4485, 547, 10647, 15693, 3490, 23361, 281, 1930, 6391, 543, 1439, 25646, 6391, 269, 5637, 2409, 723, 741, 5383, 4470, 593, 519, 1808, 2783, 1373, 5701, 780, 2971, 7046, 17889, 692, 1103, 1930, 6391, 267, 5778, 338, 25973, 976, 1711, 606, 1651, 1707, 630, 12827, 264, 2901, 593, 519, 21435, 610, 3297, 519, 5580, 10265, 269, 901, 27875, 519, 15693, 3490, 267, 3850, 1569, 547, 519, 4299, 1858, 269, 2991, 11264, 519, 5106, 267, 789, 2673, 519, 1651, 1707, 609, 25573, 610, 10551, 25411, 1255, 269, 4014, 6051, 942, 1522, 581, 3476, 982, 1439, 25646, 5773, 267, 1930, 6391, 2488, 5140, 14839, 543, 8856, 585, 6946, 2665, 780, 2971, 7736, 25646, 17889, 692, 17484, 25646, 6391, 3096, 6263, 12514, 7923, 547, 1279, 267, 6094, 13740, 1572, 1439, 8113, 8554, 269, 1452, 3457, 5512, 23262, 547, 2070, 4835, 3889, 1510, 1818, 1804, 1651, 2888, 269, 5502, 267, 789, 7696, 519, 1439, 24005, 998, 2067, 23761, 899, 519, 9224, 610, 5023, 269, 3973, 267, 1210, 1507, 7405, 5293, 7258, 519, 1439, 24005, 267, 789, 2347, 519, 6391, 269, 4595, 713, 1505, 2164, 538, 1447, 5160, 8194, 267, 2550, 3335, 1995, 18334, 9156, 625, 3379, 547, 1930, 6391, 780, 2162, 8342, 5517, 692, 12441, 596, 917, 602, 3504, 21072, 941, 1851, 519, 1101, 547, 3801, 2634, 6391, 1472, 476, 4968, 271, 14514, 286, 1717, 267, 741, 1620, 540, 519, 1480, 1560, 729, 3908, 3379, 547, 2221, 781, 4441, 269, 30586, 267, 2413, 4915, 814, 7960, 3648, 2094, 1287, 267, 3056, 547, 4359, 2553, 899, 15693, 3490, 6391, 2439, 14945, 2026, 596, 666, 1294, 267, 15693, 3490, 6391, 4249, 513, 2629, 1909, 538, 5466, 2152, 5473, 519, 10347, 3889, 6870, 676, 707, 15693, 269, 1635, 9256, 5969, 12967, 2029, 609, 4274, 5578, 267, 5778, 338, 25973, 976, 2327, 6099, 1416, 585, 1346, 8506, 6351, 538, 713, 7415, 3148, 540, 519, 1480, 1560, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7476, 589, 16797, 11910, 3724, 3245, 3776, 16195, 20226, 454, 8967, 710, 6391, 4787, 1638, 12476, 17889, 3687, 574, 958, 12833, 5297, 1975, 710, 17889, 23247, 17889, 17925, 11671, 338, 29864, 454, 1960, 278, 267, 6481, 16362, 4065, 267, 594, 30955, 2160, 31762, 19207, 335, 14505, 20513, 540, 6925, 5403, 19573, 566, 267, 476, 1001, 273, 267, 11671, 338, 29864, 267, 594, 30955, 2405, 523, 12011, 564, 2160, 910, 3619, 345, 974, 701, 4065, 543, 3194, 11233, 454, 272, 910, 3220, 269, 18771, 2378, 320, 2201, 9926, 2259, 693, 17341, 9869, 8558, 6828, 267, 17487, 364, 30955, 454, 273, 910, 3571, 3872, 28730, 2882, 5403, 19573, 566, 2676, 274, 910, 3220, 269, 18771, 2378, 320, 2201, 9926, 20647, 538, 11671, 338, 29864, 563, 275, 910, 14904, 666, 3643, 607, 829, 519, 27061, 2139, 563, 276, 910, 3220, 269, 18771, 2378, 320, 2201, 9926, 814, 476, 2641, 1296, 540, 1995, 538, 713, 2361, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20597, 1638, 3490, 6391, 257, 607, 851, 540, 834, 25503, 1315, 17889, 1315, 11671, 338, 29864, 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, 14958, 532, 1546, 937, 762, 5606, 4310, 27347, 585, 2659, 31777, 656, 781, 11773, 692, 296, 269, 4985, 692, 2026, 596, 2263, 519, 1158, 540, 14060, 585, 9042, 267, 3314, 602, 3246, 2189, 267, 24253, 20892, 3681, 4249, 513, 2629, 1909, 538, 19788, 5561, 543, 5807, 10956, 11564, 269, 2290, 971, 4781, 11543, 8560, 1851, 1072, 23655, 6800, 568, 29689, 1216, 910, 10750, 1216, 23353, 609, 5613, 267, 5388, 267, 11922, 267, 543, 14546, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1148, 540, 2870, 632, 937, 762, 1875, 17038, 4022, 545, 29689, 7297, 267, 741, 2640, 267, 543, 875, 789, 666, 3565, 547, 707, 13962, 781, 14762, 1870, 2203, 780, 2862, 269, 634, 2353, 675, 540, 5606, 4310, 4826, 692, 14813, 4310, 1216, 814, 6591, 20086, 1813, 547, 922, 3875, 1072, 829, 802, 543, 17175, 10366, 269, 9521, 24494, 10425, 267, 29689, 1216, 3091, 20697, 1510, 18731, 6492, 269, 2060, 2688, 14184, 10659, 23695, 547, 1585, 5493, 919, 267, 29689, 1216, 22587, 547, 29123, 5275, 1732, 16519, 3917, 537, 4235, 8925, 1247, 18226, 856, 780, 7656, 269, 2657, 11588, 540, 5606, 4310, 4826, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6701, 596, 606, 14971, 16724, 10478, 585, 6305, 1870, 3255, 538, 519, 13962, 2872, 286, 6733, 1100, 2417, 256, 898, 779, 942, 547, 10625, 519, 1655, 14060, 585, 9042, 2282, 596, 543, 7832, 593, 513, 13858, 3460, 540, 9562, 543, 1967, 563, 763, 2344, 585, 14060, 585, 9042, 568, 31523, 609, 6909, 3255, 7996, 547, 581, 4362, 269, 1452, 24284, 2709, 513, 4712, 13402, 1870, 2203, 609, 513, 8810, 3950, 2594, 267, 3964, 6075, 3490, 267, 543, 513, 4396, 5748, 585, 2208, 269, 1635, 26500, 519, 1655, 14060, 585, 9042, 2282, 596, 267, 596, 666, 2990, 3054, 585, 513, 25133, 14679, 538, 519, 11477, 1158, 563, 3080, 540, 519, 1713, 5383, 540, 3695, 14060, 585, 9042, 568, 519, 22297, 2460, 269, 1635, 2519, 593, 3681, 2282, 707, 4087, 267, 596, 2744, 4030, 883, 519, 2199, 2344, 6384, 267, 2146, 7375, 267, 543, 6735, 269, 901, 1702, 16877, 596, 547, 1118, 5483, 3664, 543, 20688, 707, 13962, 779, 17008, 547, 2743, 519, 1808, 2115, 543, 16919, 540, 519, 2199, 7817, 25279, 563, 308, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 30094, 1137, 1315, 6348, 25575, 4022, 545, 1315, 5606, 4310, 4826, 31204, 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, 7705, 281, 19850, 7585, 256, 1548, 616, 596, 2324, 593, 972, 2496, 7692, 281, 19743, 7705, 256, 594, 6415, 1818, 513, 20036, 28077, 536, 22324, 585, 1250, 2370, 11078, 269, 2701, 14560, 17544, 780, 8334, 281, 2334, 781, 2731, 6653, 540, 596, 256, 1684, 596, 1419, 18055, 1919, 607, 13344, 585, 1866, 2496, 7692, 281, 23010, 267, 594, 1265, 621, 21363, 543, 11791, 269, 9578, 267, 621, 17990, 803, 2724, 2094, 594, 666, 1118, 1945, 8885, 3079, 540, 9140, 621, 269, 1656, 3006, 267, 950, 594, 1118, 3063, 8631, 267, 594, 6133, 873, 2228, 543, 7118, 513, 3787, 540, 17927, 2724, 1932, 2439, 8334, 281, 7937, 267, 602, 781, 3579, 256, 1924, 267, 596, 666, 2965, 1118, 2724, 689, 22927, 607, 513, 15908, 286, 15681, 803, 811, 827, 602, 780, 7692, 281, 17610, 256, 1411, 1294, 267, 22927, 2636, 803, 547, 1711, 1082, 1114, 3688, 899, 9660, 267, 11435, 267, 9162, 267, 543, 1256, 1753, 7718, 269, 4658, 2648, 2189, 29586, 5370, 267, 543, 789, 2811, 8348, 547, 2628, 585, 873, 269, 6884, 267, 594, 6443, 2199, 4739, 4023, 338, 610, 6133, 873, 998, 1514, 2923, 5867, 269, 898, 781, 5863, 875, 1454, 1004, 5660, 519, 942, 543, 4674, 2322, 883, 1142, 4062, 780, 8334, 281, 26272, 267, 602, 4992, 9735, 256, 1809, 1018, 952, 2576, 3085, 1405, 1616, 547, 6133, 741, 13144, 286, 2052, 22927, 1869, 948, 873, 4688, 2724, 2496, 7692, 281, 25999, 256, 1280, 3236, 267, 3079, 540, 18530, 2476, 2025, 14247, 753, 609, 9475, 267, 596, 666, 2490, 873, 883, 31042, 2110, 338, 610, 513, 9126, 269, 2107, 6148, 4444, 17234, 1282, 6455, 543, 4558, 873, 2394, 596, 991, 873, 585, 2104, 3785, 1107, 713, 1259, 267, 596, 4465, 1405, 723, 547, 6718, 2326, 693, 2407, 3902, 2663, 593, 780, 8334, 281, 594, 1294, 256, 1635, 1373, 3860, 543, 4199, 995, 267, 22927, 2337, 1312, 538, 15980, 543, 9494, 2724, 269, 594, 1589, 594, 3513, 2285, 621, 513, 2119, 14693, 269, 8729, 585, 4687, 267, 7585, 2439, 7692, 281, 3143, 1966, 267, 7705, 256, 5457, 267, 2141, 1376, 1507, 543, 1491, 707, 942, 1565, 1007, 1983, 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 ]
[ 6189, 269, 1215, 1281, 513, 6928, 1847, 998, 519, 1216, 286, 2290, 1259, 568, 1210, 513, 4412, 11839, 267, 799, 1568, 2186, 540, 899, 606, 14015, 10178, 269, 1306, 519, 19059, 8095, 267, 789, 7903, 1996, 519, 1216, 267, 2870, 513, 3196, 602, 4412, 1564, 519, 6928, 4464, 269, 6271, 1505, 568, 1210, 15191, 9817, 267, 2147, 547, 1346, 1031, 538, 27858, 267, 799, 29186, 538, 1216, 543, 1163, 601, 621, 693, 1164, 3432, 547, 5352, 19876, 780, 15563, 267, 649, 991, 547, 2327, 519, 7293, 8699, 540, 519, 6928, 269, 23305, 8699, 4016, 547, 519, 2702, 540, 513, 2497, 547, 5706, 1585, 4229, 267, 971, 607, 922, 1378, 2597, 267, 5007, 13907, 267, 543, 2825, 2188, 899, 2842, 543, 6329, 269, 25220, 16413, 1590, 5402, 5659, 17613, 543, 12490, 1369, 519, 6928, 781, 2326, 547, 10018, 3106, 1282, 5106, 780, 2467, 616, 1896, 2010, 540, 7286, 8043, 602, 4324, 689, 17189, 6189, 6791, 269, 1452, 2039, 689, 5010, 9635, 899, 8708, 8043, 543, 3282, 7382, 619, 547, 16351, 4739, 899, 586, 778, 1206, 543, 1379, 2692, 1846, 269, 7981, 3483, 8043, 267, 1519, 4672, 3691, 5474, 267, 1382, 8043, 267, 543, 26010, 9635, 267, 849, 7048, 8185, 593, 17189, 16413, 585, 741, 2189, 4170, 780, 6597, 3539, 17189, 6189, 10741, 9885, 547, 4241, 11678, 1312, 593, 2244, 543, 693, 4262, 269, 19296, 949, 960, 538, 1374, 13646, 267, 6928, 29288, 267, 17874, 10909, 267, 610, 2229, 8041, 3743, 585, 15725, 17535, 2238, 269, 11524, 1522, 3442, 547, 1831, 3061, 1622, 267, 21804, 267, 610, 12284, 2818, 20829, 7286, 8043, 269, 2060, 8441, 538, 3039, 4066, 267, 972, 616, 3395, 3255, 585, 8030, 547, 3565, 547, 10357, 7888, 11288, 2409, 543, 4244, 1648, 2959, 780, 1103, 3932, 267, 17189, 6189, 4249, 513, 2565, 1909, 538, 5935, 938, 1158, 781, 522, 576, 836, 21749, 18239, 269, 3245, 1620, 4909, 3741, 899, 26255, 3599, 543, 6617, 547, 1565, 827, 5499, 27668, 1949, 543, 7293, 6272, 267, 713, 2361, 3091, 11995, 7399, 585, 8049, 8186, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 9358, 1223, 581, 851, 540, 519, 2319, 602, 5932, 519, 1985, 5108, 540, 7286, 2261, 12069, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 23958, 589, 696, 3363, 4530, 538, 7177, 630, 294, 12442, 264, 476, 1708, 273, 7373, 5928, 616, 593, 267, 609, 11400, 16516, 547, 581, 4371, 593, 5988, 476, 276, 267, 476, 277, 267, 476, 1321, 267, 543, 476, 1724, 267, 476, 1708, 273, 269, 634, 4095, 4659, 540, 5303, 630, 2862, 307, 264, 918, 9618, 698, 20580, 267, 799, 568, 519, 1418, 2358, 20576, 585, 519, 981, 267, 786, 581, 10647, 717, 12442, 476, 1708, 273, 607, 513, 2780, 2861, 1449, 630, 30274, 264, 585, 476, 3066, 4574, 269, 5565, 1007, 4574, 267, 2983, 558, 18267, 7177, 630, 12283, 264, 543, 25220, 15339, 543, 13149, 7177, 630, 301, 300, 264, 723, 1044, 5189, 538, 717, 12442, 476, 1708, 273, 547, 519, 4540, 1592, 540, 717, 12442, 476, 1708, 273, 5396, 563, 2108, 4322, 1079, 5396, 538, 7177, 616, 2487, 19876, 2127, 2348, 513, 2603, 540, 9165, 585, 2417, 4359, 1382, 543, 2816, 3255, 538, 3127, 269, 9747, 267, 519, 1007, 4574, 23817, 543, 28679, 267, 786, 581, 5363, 585, 8876, 856, 623, 294, 270, 4942, 291, 2090, 543, 7694, 3255, 585, 519, 10457, 538, 3127, 2223, 3081, 12213, 1678, 541, 932, 3716, 327, 1722, 267, 17348, 7905, 543, 2212, 540, 6406, 7177, 4972, 540, 594, 3951, 25512, 599, 543, 5449, 1418, 2358, 11381, 17367, 540, 717, 12442, 476, 1708, 272, 945, 3366, 519, 12233, 602, 19775, 543, 6069, 519, 10014, 540, 519, 1079, 4574, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 13149, 1299, 25220, 1315, 25220, 15339, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 1234, 2286, 1715, 1261, 2074, 910, 9412, 29725, 6883, 9828, 585, 8479, 13491, 20445, 692, 5970, 596, 2479, 2938, 2576, 18440, 513, 4224, 3068, 267, 6091, 2269, 1456, 543, 2295, 11013, 532, 267, 543, 2219, 547, 3054, 267, 834, 6546, 5654, 899, 865, 1454, 1187, 10590, 4270, 267, 1250, 8284, 7045, 3464, 267, 594, 6415, 1934, 547, 2995, 596, 602, 4224, 16246, 666, 8197, 581, 606, 17938, 1791, 908, 1995, 256, 1656, 1247, 649, 949, 711, 581, 4712, 547, 10994, 1346, 26009, 30917, 1175, 2943, 267, 972, 616, 7899, 540, 2553, 649, 666, 1451, 1631, 547, 5965, 721, 585, 2104, 9035, 269, 1924, 1577, 781, 1205, 3323, 2439, 5575, 1919, 1101, 1107, 3106, 568, 14063, 538, 1022, 3665, 7328, 267, 2523, 835, 607, 29412, 607, 4224, 16246, 269, 6969, 12394, 1022, 18214, 267, 2327, 596, 723, 1697, 3937, 971, 607, 31238, 267, 10244, 525, 267, 16246, 10887, 267, 543, 887, 6647, 269, 898, 781, 2141, 1655, 547, 979, 609, 4810, 6172, 1499, 610, 6443, 513, 24892, 1895, 2394, 596, 1831, 6899, 609, 519, 9238, 780, 3086, 267, 1577, 781, 2911, 827, 930, 4909, 4224, 16246, 2553, 1384, 272, 269, 2878, 293, 2393, 1740, 5093, 5617, 10079, 621, 610, 711, 267, 2178, 3723, 1740, 3029, 519, 5748, 540, 3811, 4224, 16246, 269, 7743, 569, 11093, 707, 3952, 2636, 596, 547, 3666, 707, 2597, 543, 2226, 6617, 269, 8347, 1210, 519, 1412, 6135, 1900, 10086, 1141, 596, 1747, 835, 3723, 5594, 2362, 982, 519, 824, 267, 26084, 707, 2597, 14961, 1063, 1312, 7953, 269, 901, 2990, 2337, 18359, 1648, 1282, 1279, 6172, 2125, 780, 273, 269, 2878, 21652, 9302, 5093, 27116, 1005, 4396, 1688, 9302, 568, 2629, 585, 16057, 3356, 269, 6733, 585, 2934, 538, 519, 4224, 899, 3366, 2471, 267, 18015, 267, 610, 8728, 602, 2709, 1434, 17945, 269, 5457, 267, 3006, 1447, 568, 811, 282, 8066, 5196, 519, 4224, 1932, 17401, 1522, 12483, 856, 707, 7916, 3533, 269, 4039, 1314, 707, 17945, 21237, 547, 8190, 4222, 780, 274, 269, 2878, 28694, 19024, 532, 5093, 18227, 707, 1560, 2673, 547, 519, 3774, 5688, 3278, 707, 4099, 540, 8904, 543, 2306, 16246, 4443, 269, 2274, 22135, 2476, 689, 519, 3774, 666, 12235, 1055, 707, 3666, 543, 2014, 11991, 8833, 269, 10439, 1125, 554, 19982, 519, 4224, 2627, 9900, 855, 16119, 607, 596, 10841, 754, 780, 275, 269, 2878, 31161, 618, 14938, 1878, 5093, 4643, 6619, 676, 3308, 1944, 707, 1985, 7575, 1354, 6028, 707, 1699, 3180, 269, 4165, 4602, 622, 875, 596, 786, 5912, 689, 835, 1448, 547, 1776, 12347, 269, 28552, 6422, 5322, 267, 971, 607, 17259, 610, 5761, 532, 267, 666, 948, 2087, 707, 22231, 543, 6015, 593, 519, 3774, 780, 276, 269, 2878, 14582, 11691, 5093, 5617, 11691, 3322, 5883, 519, 18052, 602, 3813, 999, 519, 6172, 828, 547, 519, 19671, 1062, 693, 519, 1283, 540, 519, 8905, 269, 1306, 513, 19444, 267, 1565, 2953, 1517, 599, 4480, 5849, 1312, 16523, 543, 707, 7649, 781, 3106, 269, 6657, 4758, 1793, 871, 267, 2921, 538, 18052, 267, 543, 20414, 8813, 896, 6417, 2175, 2394, 596, 1745, 8746, 780, 8855, 267, 2259, 2306, 3501, 256, 5213, 1405, 581, 27209, 952, 596, 1810, 1405, 4487, 891, 1983, 5612, 269, 5272, 4274, 6172, 828, 3323, 4010, 1141, 596, 616, 1631, 269, 2060, 11428, 543, 8990, 267, 4166, 2614, 267, 596, 3513, 581, 8757, 1007, 15627, 543, 7680, 18198, 5784, 11603, 1152, 585, 1346, 945, 546, 732, 547, 5326, 2462, 269, 8414, 16246, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 5662, 17489, 6643, 609, 8366, 20421, 5856, 20858, 631, 269, 26186, 529, 267, 2278, 540, 3140, 267, 14595, 3620, 626, 800, 267, 543, 519, 14973, 595, 628, 592, 16852, 267, 2549, 14607, 332, 730, 14810, 4783, 267, 607, 1134, 607, 6965, 267, 4249, 267, 543, 5496, 680, 904, 563, 305, 1195, 968, 26364, 858, 892, 26186, 529, 7125, 5128, 513, 968, 1805, 800, 339, 11839, 892, 585, 513, 2603, 540, 4128, 563, 3891, 4956, 547, 581, 513, 5856, 950, 646, 729, 4557, 543, 2760, 6743, 1394, 269, 13966, 519, 1259, 267, 646, 779, 2944, 782, 519, 8912, 5182, 1324, 7376, 6009, 630, 13568, 3218, 267, 3649, 3438, 267, 21869, 648, 804, 17064, 264, 543, 513, 1906, 8966, 3283, 630, 515, 729, 519, 476, 7830, 526, 28645, 1763, 26443, 4210, 20810, 538, 519, 2475, 11076, 15050, 1700, 1700, 515, 3085, 1406, 1175, 2328, 2962, 14194, 1203, 675, 267, 646, 5030, 513, 2370, 540, 621, 5128, 1916, 3891, 779, 2854, 6965, 267, 4249, 267, 543, 5496, 680, 904, 269, 1261, 779, 849, 519, 2278, 540, 12964, 9089, 267, 1519, 519, 12473, 3140, 5708, 521, 15676, 1635, 519, 24732, 540, 9093, 543, 519, 4244, 1686, 3126, 634, 700, 2158, 727, 6723, 20048, 2873, 267, 607, 1134, 607, 519, 13371, 14810, 595, 628, 592, 16852, 267, 2549, 14607, 600, 730, 4783, 269, 769, 476, 1001, 279, 646, 4607, 519, 1101, 634, 3627, 6660, 3780, 24897, 8586, 13815, 585, 1010, 3312, 4670, 7097, 12019, 4303, 538, 18774, 563, 29820, 538, 476, 3707, 278, 267, 6276, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 1442, 29725, 6883, 9828, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 11846, 1299, 28046, 1315, 26184, 11846, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 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, 3184, 267, 649, 786, 5490, 883, 519, 1148, 543, 2257, 540, 521, 748, 2756, 5986, 543, 2263, 922, 1761, 1909, 538, 5935, 4264, 1426, 1949, 1369, 519, 2796, 540, 519, 19848, 18152, 22184, 269, 634, 2165, 834, 2304, 6605, 18152, 257, 4016, 547, 513, 6069, 27230, 2085, 6353, 676, 1480, 3310, 593, 3047, 781, 8134, 543, 5790, 269, 2060, 8375, 4145, 827, 2825, 12159, 543, 2916, 1689, 267, 621, 3587, 5051, 1271, 585, 721, 547, 556, 29264, 2757, 11477, 2853, 543, 9784, 5499, 2553, 602, 7413, 3653, 543, 3895, 6940, 269, 8528, 306, 748, 2756, 630, 29455, 647, 324, 1654, 539, 264, 1797, 834, 8974, 12511, 257, 538, 3943, 543, 6257, 513, 1505, 540, 8600, 1426, 20177, 538, 2011, 31259, 5068, 11435, 543, 1287, 11273, 693, 5730, 5210, 538, 2837, 22306, 1216, 31725, 269, 1635, 4509, 5812, 5210, 2429, 519, 3003, 5986, 1184, 267, 22730, 666, 3035, 26080, 1852, 936, 1810, 8864, 2157, 543, 8137, 1646, 1247, 10893, 8770, 2530, 543, 7509, 21381, 269, 5047, 267, 521, 748, 2756, 5986, 561, 1742, 3294, 1134, 547, 1804, 8397, 7594, 7041, 543, 16801, 5986, 267, 1818, 621, 606, 10694, 4781, 585, 5010, 6539, 29353, 5275, 4398, 543, 11007, 780, 6524, 11362, 4514, 883, 521, 748, 2756, 4480, 267, 1577, 781, 1101, 4983, 930, 1883, 3741, 5817, 2413, 626, 11951, 543, 7636, 8819, 25348, 1107, 5322, 602, 11168, 17634, 267, 5647, 267, 543, 3621, 1702, 538, 13287, 540, 3209, 10366, 267, 18282, 267, 543, 14245, 269, 7073, 626, 29397, 1419, 2308, 7463, 3937, 971, 607, 21599, 6933, 2209, 267, 12511, 13021, 619, 267, 543, 25916, 525, 547, 13861, 5820, 693, 18784, 10253, 267, 2870, 8286, 602, 4161, 6671, 6788, 543, 7903, 6302, 269, 6684, 267, 9439, 540, 7636, 8819, 25348, 4019, 3114, 6547, 543, 2168, 14759, 547, 1711, 6397, 2283, 3645, 2833, 998, 17371, 267, 575, 1564, 267, 32340, 267, 543, 824, 1285, 656, 3766, 31938, 3029, 269, 5637, 5380, 1217, 4207, 521, 748, 2756, 2259, 543, 3565, 547, 6626, 5717, 4478, 1426, 2528, 267, 2029, 267, 543, 14498, 780, 3086, 267, 1577, 721, 2132, 547, 519, 1523, 540, 519, 19848, 18152, 543, 2015, 875, 521, 748, 2756, 5986, 1522, 5447, 609, 6932, 3466, 2509, 811, 3743, 543, 5683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2949, 1072, 543, 1134, 5630, 269, 31177, 10682, 6391, 666, 2087, 2949, 1072, 676, 3850, 2550, 547, 1291, 811, 3742, 543, 16180, 2729, 563, 1432, 616, 519, 4220, 540, 12048, 10682, 6391, 585, 7820, 2550, 888, 12024, 1022, 6391, 267, 12048, 10682, 6391, 11438, 930, 4220, 269, 1452, 4220, 1331, 912, 268, 25124, 281, 25124, 568, 513, 1981, 609, 1022, 6391, 267, 543, 666, 581, 3226, 5906, 1739, 12048, 10682, 6391, 269, 14904, 949, 991, 547, 1491, 11216, 1354, 543, 1310, 6391, 547, 2569, 519, 1981, 540, 3968, 563, 268, 10552, 28163, 281, 10552, 28163, 666, 1020, 538, 519, 7953, 610, 9641, 1739, 12048, 10682, 6391, 269, 14904, 949, 991, 547, 1491, 1973, 6094, 2996, 547, 2569, 519, 1981, 540, 1973, 28163, 563, 268, 2598, 331, 6327, 281, 634, 1007, 12048, 4745, 949, 20247, 11229, 1739, 6391, 267, 3226, 952, 519, 3461, 22851, 538, 1978, 2168, 2238, 602, 2322, 2566, 593, 519, 4745, 269, 14904, 949, 991, 547, 2057, 1978, 2238, 610, 946, 4217, 633, 3457, 547, 2061, 20247, 6327, 563, 268, 10753, 657, 2287, 540, 519, 15498, 281, 634, 1007, 12048, 4745, 949, 3138, 4923, 936, 942, 267, 799, 666, 2014, 1928, 543, 2154, 3606, 6391, 563, 1692, 568, 12048, 10682, 6391, 5340, 888, 295, 760, 10682, 6391, 568, 3335, 5340, 896, 2489, 16562, 17561, 543, 3322, 519, 1739, 3268, 912, 268, 634, 18874, 2306, 606, 1651, 1707, 936, 519, 12048, 4745, 547, 1569, 519, 4745, 563, 268, 634, 8697, 5642, 543, 20162, 616, 6569, 689, 519, 12048, 4745, 563, 268, 634, 1007, 5841, 4745, 568, 17332, 883, 519, 12048, 4745, 563, 268, 634, 1651, 1707, 568, 6806, 609, 521, 583, 999, 610, 25411, 1255, 563, 268, 634, 3461, 568, 16913, 538, 519, 6051, 4055, 1354, 1373, 11843, 547, 519, 20758, 563, 3725, 11734, 689, 12048, 10682, 6391, 454, 3725, 11734, 689, 12048, 10682, 6391, 3335, 3322, 513, 6413, 3251, 540, 476, 273, 268, 275, 2395, 267, 4553, 676, 1896, 4374, 540, 14317, 269, 4438, 713, 942, 267, 2550, 949, 960, 609, 513, 2168, 13309, 547, 22919, 4222, 543, 10688, 538, 519, 12048, 4745, 269, 14904, 949, 849, 991, 547, 946, 4217, 633, 3457, 971, 607, 1835, 583, 2583, 610, 513, 3802, 518, 547, 948, 609, 10688, 563, 2005, 568, 1271, 585, 2550, 547, 1246, 741, 18874, 781, 5528, 585, 2022, 268, 10869, 1416, 267, 1519, 912, 268, 14171, 6527, 607, 11311, 267, 1519, 1928, 6527, 543, 11216, 563, 268, 11374, 513, 2168, 3797, 20786, 547, 22919, 4222, 543, 10688, 538, 519, 12048, 4745, 563, 268, 3680, 532, 1978, 2238, 602, 1223, 2322, 2566, 593, 519, 1007, 12048, 4745, 267, 971, 607, 4881, 610, 17259, 563, 268, 27561, 1022, 4191, 540, 3968, 267, 971, 607, 8611, 610, 12775, 689, 519, 1651, 1707, 3135, 563, 16908, 1310, 12048, 10682, 6391, 454, 5475, 6051, 689, 12048, 10682, 6391, 267, 2550, 666, 2503, 547, 2972, 513, 1732, 2298, 540, 1272, 609, 4389, 1928, 543, 4824, 10688, 269, 1717, 267, 621, 568, 1271, 547, 1491, 1416, 540, 519, 1007, 12048, 4745, 547, 2327, 922, 15325, 269, 901, 2882, 912, 268, 3680, 532, 1164, 27780, 716, 2238, 602, 1223, 2322, 2566, 593, 519, 12048, 4745, 267, 971, 607, 4881, 610, 17259, 563, 268, 24367, 513, 2635, 2597, 547, 2569, 2566, 593, 519, 12048, 4745, 563, 268, 12160, 908, 538, 1970, 27780, 716, 2238, 971, 607, 6972, 267, 10977, 267, 610, 15203, 547, 2226, 4222, 543, 10688, 538, 519, 12048, 4745, 563, 268, 11374, 909, 609, 519, 18874, 585, 2834, 2638, 13522, 547, 6895, 519, 1072, 540, 519, 1007, 12048, 4745, 563, 2690, 7820, 2550, 18460, 12048, 10682, 6391, 267, 972, 616, 1896, 2188, 602, 666, 3565, 547, 513, 5732, 23704, 6051, 543, 513, 2539, 2949, 1981, 9043, 269, 1452, 2188, 949, 1331, 912, 268, 674, 2120, 18401, 281, 8479, 518, 2550, 3622, 4043, 547, 723, 1732, 2949, 1072, 543, 2168, 8516, 267, 799, 666, 3565, 547, 513, 18334, 6051, 1310, 6391, 269, 4256, 4703, 949, 4431, 811, 7561, 547, 14317, 267, 3056, 547, 513, 5488, 2132, 547, 3339, 2238, 543, 513, 8519, 16126, 593, 4217, 633, 3457, 563, 268, 16200, 518, 24942, 2657, 281, 8479, 518, 2550, 3335, 723, 1732, 5642, 2298, 543, 5860, 267, 799, 666, 3986, 519, 6617, 543, 15325, 540, 519, 12048, 10682, 15498, 269, 901, 666, 2569, 519, 1981, 540, 15498, 5829, 8374, 543, 519, 991, 585, 14469, 23361, 538, 519, 2104, 563, 268, 27999, 19047, 281, 8479, 518, 2550, 1419, 723, 1114, 6197, 7569, 3379, 547, 4587, 4079, 269, 1358, 949, 723, 960, 19647, 267, 3742, 19824, 267, 543, 22686, 9021, 269, 31177, 10682, 6391, 666, 948, 7820, 2550, 22919, 741, 10688, 543, 7589, 538, 2168, 2238, 789, 2972, 267, 3056, 547, 606, 4824, 2298, 540, 1272, 563, 268, 7043, 31645, 11588, 281, 7201, 4707, 12048, 10682, 6391, 693, 513, 7820, 2085, 666, 5732, 1683, 513, 3476, 8653, 540, 8323, 543, 10342, 269, 1635, 5466, 12048, 1928, 543, 7687, 2038, 593, 267, 7820, 2550, 949, 581, 2111, 547, 2972, 1896, 5756, 540, 4824, 10688, 543, 513, 4389, 991, 585, 2417, 7459, 2663, 538, 1272, 563, 295, 760, 10682, 6391, 666, 1683, 1713, 2640, 585, 7820, 2550, 945, 616, 7680, 5312, 1928, 543, 4389, 10688, 1813, 547, 12048, 4745, 2042, 269, 2755, 519, 5650, 11438, 930, 4220, 267, 621, 666, 1450, 2550, 547, 2972, 513, 1732, 2298, 540, 1272, 543, 4824, 2949, 1072, 269, 898, 568, 1271, 547, 1491, 1416, 540, 519, 1007, 12048, 4745, 1739, 6391, 547, 2327, 922, 15325, 543, 4797, 1599, 269, 1403, 596, 616, 6236, 12048, 10682, 6391, 267, 581, 2386, 547, 3717, 609, 707, 9647, 30249, 14037, 18874, 547, 3313, 952, 621, 568, 519, 1318, 4781, 585, 596, 563, 309, 1415, 320, 2657, 568, 513, 2754, 602, 3091, 513, 2647, 2039, 540, 1072, 543, 9716, 2533, 267, 1519, 9647, 30249, 14037, 1416, 269, 1403, 596, 616, 538, 991, 540, 12048, 10682, 6391, 610, 824, 9647, 30249, 14037, 1416, 267, 966, 1415, 320, 2657, 666, 948, 1921, 596, 609, 513, 11727, 9647, 30249, 14037, 18874, 945, 666, 1683, 519, 1416, 596, 991, 269, 2060, 513, 1445, 593, 3461, 7266, 1042, 1416, 543, 513, 7029, 547, 2298, 267, 966, 1415, 320, 2657, 568, 6131, 547, 4543, 2550, 3035, 741, 1655, 2009, 1072, 4093, 269, 0, 268, 1261, 13603, 909, 519, 1608, 760, 619, 543, 12238, 3022, 5402, 4586, 268, 2311, 713, 1448, 519, 15378, 2604, 729, 1224, 4586, 268, 898, 729, 2352, 547, 15378, 875, 1004, 1131, 4431, 4586, 268, 1261, 6743, 693, 803, 267, 3843, 547, 15378, 1250, 5114, 4586, 268, 594, 12238, 3022, 602, 621, 729, 711, 513, 1434, 4090, 547, 3717, 547, 1200, 4586, 268, 513, 7893, 6293, 585, 7893, 543, 10834, 513, 7274, 971, 607, 519, 11098, 540, 5911, 610, 519, 2179, 540, 4764, 3092, 563, 268, 8006, 540, 513, 8546, 610, 7784, 22902, 454, 12571, 490, 18263, 487, 13644, 491, 16088, 321, 648, 267, 1608, 9200, 267, 1608, 756, 516, 454, 268, 519, 11098, 540, 5911, 454, 268, 519, 3845, 1063, 519, 986, 2812, 540, 513, 16749, 610, 1063, 519, 14743, 540, 513, 5721, 454, 268, 7608, 610, 9516, 3236, 610, 1383, 540, 513, 7274, 610, 2298, 1996, 799, 1866, 616, 24565, 610, 6027, 610, 3379, 454, 12571, 490, 18263, 487, 13644, 491, 16088, 20598, 540, 6482, 454, 268, 3575, 538, 1808, 17114, 282, 834, 326, 879, 613, 29147, 4840, 268, 3082, 547, 513, 9138, 6482, 282, 834, 326, 879, 613, 519, 7405, 4840, 268, 2268, 10502, 543, 1996, 513, 3044, 282, 834, 1492, 5911, 568, 12238, 3022, 4840, 268, 9794, 17895, 8271, 610, 1106, 606, 7447, 540, 630, 31642, 885, 610, 942, 5148, 834, 296, 7447, 713, 9269, 547, 9260, 1614, 6550, 4840, 12571, 490, 18263, 487, 13644, 491, 16088, 652, 1493, 267, 16977, 267, 7058, 267, 9794, 454, 268, 3313, 519, 4390, 267, 4320, 267, 610, 9115, 540, 676, 6482, 543, 9819, 282, 834, 326, 879, 613, 519, 9174, 29054, 4840, 268, 6299, 547, 513, 7833, 2450, 282, 834, 326, 879, 613, 20398, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 519, 942, 540, 519, 1788, 729, 513, 9683, 772, 302, 7548, 896, 519, 2725, 1512, 329, 584, 2102, 6250, 1746, 26665, 23050, 269, 2755, 513, 10927, 2875, 693, 14822, 3557, 2160, 267, 1352, 1185, 2938, 3376, 23898, 543, 11327, 3165, 9249, 25318, 540, 3504, 26949, 1938, 1247, 3257, 2361, 1740, 1310, 476, 1960, 277, 17160, 563, 21893, 8343, 1185, 19388, 1229, 538, 1250, 2247, 936, 519, 1296, 267, 543, 950, 21013, 781, 1353, 593, 17782, 519, 12136, 540, 891, 1804, 26949, 1938, 593, 513, 5251, 4336, 729, 3370, 594, 2968, 1360, 9599, 547, 11654, 713, 1858, 540, 1382, 609, 1864, 2437, 1352, 1767, 269, 834, 17357, 22046, 5944, 267, 1250, 26393, 23765, 22210, 9116, 609, 519, 772, 2529, 269, 11206, 6796, 7414, 19566, 3194, 13749, 538, 4856, 341, 718, 529, 3370, 513, 16762, 2203, 602, 25528, 519, 4087, 540, 5732, 11327, 3165, 7226, 538, 519, 1482, 1858, 607, 21013, 25528, 519, 1804, 26949, 1938, 4799, 4467, 6883, 519, 1079, 16762, 3631, 267, 2904, 1767, 281, 834, 2005, 2968, 7805, 602, 972, 729, 513, 2178, 3095, 720, 1063, 519, 12136, 540, 1804, 26949, 1938, 543, 519, 4087, 540, 3810, 11327, 13687, 7226, 4799, 2690, 519, 1353, 267, 2904, 267, 10162, 1359, 267, 22210, 9116, 543, 700, 269, 8845, 16202, 517, 267, 849, 540, 6276, 23885, 2160, 267, 4682, 883, 519, 2361, 267, 4974, 519, 6189, 540, 5757, 23898, 269, 1358, 1031, 9149, 291, 2752, 3177, 676, 519, 14822, 4972, 540, 30578, 543, 25115, 24322, 267, 2519, 593, 29542, 543, 4432, 330, 524, 872, 802, 4534, 851, 540, 519, 772, 5404, 638, 320, 5211, 16935, 1141, 10162, 1359, 5892, 13006, 3504, 26949, 1938, 269, 12824, 6027, 519, 11097, 2195, 540, 519, 14860, 1210, 519, 1164, 22822, 1283, 4919, 1239, 543, 4951, 875, 11097, 2195, 9867, 1759, 593, 24659, 2173, 520, 3012, 673, 12596, 1031, 547, 4729, 543, 4786, 519, 14099, 563, 2414, 1174, 519, 2238, 540, 519, 13687, 267, 3173, 4294, 1283, 25140, 6508, 6908, 2000, 599, 1359, 2553, 543, 513, 4542, 2813, 676, 22210, 9116, 538, 476, 1220, 278, 585, 21501, 519, 834, 842, 337, 13917, 1761, 257, 540, 1142, 6908, 547, 1683, 556, 2130, 9249, 585, 595, 2129, 334, 13687, 563, 5445, 1336, 602, 23898, 19654, 540, 26949, 1938, 616, 7522, 518, 982, 1131, 581, 4397, 267, 799, 6700, 602, 14860, 1526, 9689, 1185, 1016, 30062, 14860, 11097, 2287, 269, 12213, 5498, 730, 26949, 1938, 267, 519, 4589, 7074, 267, 3361, 2647, 14860, 12415, 547, 2049, 2362, 538, 519, 8756, 3060, 982, 1131, 6382, 581, 4397, 269, 5510, 7302, 14128, 12535, 829, 3481, 538, 7823, 8963, 1137, 267, 789, 1767, 267, 2333, 7226, 4763, 543, 1291, 547, 513, 3152, 11606, 540, 13687, 573, 7607, 563, 21893, 1353, 20964, 875, 513, 14860, 5036, 922, 8700, 2437, 10162, 1359, 1767, 269, 834, 5415, 11932, 267, 519, 22114, 602, 1118, 23898, 1413, 1114, 616, 5097, 6417, 676, 2462, 26949, 1938, 538, 519, 14822, 11076, 16186, 269, 8262, 2621, 9648, 5215, 540, 1296, 3516, 723, 1185, 513, 1279, 8573, 7342, 267, 10770, 1764, 593, 519, 14860, 6989, 269, 1924, 1256, 952, 26949, 1938, 3280, 17559, 610, 14686, 267, 789, 4312, 1044, 3742, 856, 972, 585, 1279, 5712, 540, 942, 267, 543, 789, 1118, 1390, 7226, 585, 13687, 936, 519, 1279, 2165, 4799, 763, 4681, 1683, 4909, 4030, 593, 519, 17027, 543, 8733, 8060, 593, 13687, 7226, 267, 2904, 1767, 269, 834, 296, 798, 3494, 519, 2164, 786, 723, 3376, 3156, 585, 13155, 2249, 5726, 543, 2359, 2437, 1352, 3773, 563, 257, 7804, 269, 10162, 1359, 781, 7778, 540, 875, 16160, 2067, 4229, 666, 1711, 15417, 7226, 4267, 930, 1279, 268, 1782, 1359, 2055, 827, 519, 2520, 14521, 1108, 540, 938, 3148, 2437, 1767, 13690, 828, 569, 12448, 338, 25385, 344, 267, 772, 302, 13030, 7022, 585, 1382, 543, 5647, 267, 543, 632, 534, 540, 519, 10927, 1153, 269, 834, 1607, 1382, 2337, 721, 5660, 519, 17381, 543, 4763, 540, 938, 1533, 676, 2417, 532, 938, 1620, 540, 14822, 781, 10058, 5251, 543, 519, 2371, 543, 2831, 602, 2661, 1934, 4799, 763, 772, 5404, 638, 320, 5211, 729, 6074, 1317, 540, 922, 834, 600, 5074, 7833, 640, 2437, 10162, 1359, 1767, 269, 834, 2252, 10239, 616, 1373, 10575, 26661, 998, 29684, 4229, 4534, 519, 7725, 616, 2469, 16057, 543, 11761, 568, 9849, 873, 1524, 4534, 649, 4043, 547, 1294, 891, 1079, 4229, 13326, 1142, 824, 269, 901, 7823, 2039, 814, 6913, 513, 11315, 267, 11931, 1533, 269, 898, 5654, 519, 1482, 998, 942, 267, 1256, 609, 513, 6422, 8818, 4799, 763, 2817, 3163, 7690, 14102, 513, 6712, 540, 519, 1382, 998, 513, 10406, 540, 3047, 7070, 9886, 630, 271, 4817, 25908, 277, 264, 547, 10162, 1359, 563, 13126, 281, 2160, 540, 14822, 454, 268, 17738, 1397, 595, 2129, 334, 13687, 693, 1981, 538, 2475, 4683, 1944, 7297, 515, 1091, 307, 826, 267, 476, 2918, 7325, 476, 1001, 272, 267, 476, 1015, 281, 3451, 281, 5392, 29269, 454, 268, 10960, 11275, 1143, 281, 3689, 2963, 602, 11275, 1143, 2337, 13687, 1265, 1753, 1320, 340, 267, 476, 278, 4924, 476, 1001, 274, 267, 476, 1724, 281, 3451, 281, 7871, 29643, 454, 268, 4634, 693, 1016, 548, 11209, 2157, 267, 13851, 949, 3500, 519, 6051, 540, 3552, 13687, 5095, 26607, 267, 476, 1626, 5463, 476, 1220, 280, 267, 476, 1015, 281, 6872, 281, 1789, 29643, 454, 268, 20363, 1159, 27117, 6668, 2147, 538, 12052, 543, 2605, 6471, 8933, 307, 826, 267, 476, 2764, 4239, 476, 1220, 279, 267, 476, 1015, 281, 2537, 281, 4905, 29269, 454, 268, 5381, 6668, 3928, 585, 7414, 13687, 538, 2605, 6471, 267, 12052, 23117, 12651, 1007, 2055, 12507, 267, 476, 2767, 4239, 476, 1220, 279, 267, 476, 736, 281, 3066, 281, 2412, 29269, 454, 268, 14066, 267, 3504, 26949, 1938, 9447, 9053, 25318, 9249, 585, 1071, 14833, 13687, 5228, 3163, 11545, 12507, 267, 476, 1556, 4924, 476, 1001, 274, 267, 476, 2420, 281, 1789, 281, 3066, 29643, 454, 268, 14066, 267, 3504, 26949, 1938, 9447, 9053, 25318, 9249, 585, 1071, 14833, 13687, 5228, 4284, 3073, 12507, 267, 476, 1556, 4924, 476, 1001, 274, 267, 476, 1724, 281, 876, 281, 2420, 29643, 454, 30238, 3163, 5240, 12072, 7476, 519, 5767, 543, 1034, 2442, 2257, 3377, 4930, 540, 519, 3018, 538, 707, 769, 7901, 256, 898, 781, 1863, 2336, 13425, 856, 938, 1985, 1788, 267, 10334, 12991, 564, 454, 5804, 824, 2257, 3377, 4609, 454, 28082, 2257, 3377, 4930, 454, 268, 6904, 844, 4226, 1250, 15210, 286, 1715, 1505, 547, 10646, 1063, 30240, 7061, 11353, 454, 268, 11906, 16785, 25495, 602, 1560, 2306, 922, 1378, 4232, 1084, 4212, 3154, 267, 670, 273, 306, 267, 547, 4324, 1072, 454, 268, 22452, 547, 1164, 5533, 2157, 1282, 6379, 949, 2333, 1981, 540, 2348, 1126, 609, 10295, 454, 268, 1530, 1143, 545, 7934, 3544, 540, 594, 30955, 454, 268, 22226, 1449, 9060, 930, 10856, 19790, 2720, 21183, 267, 1866, 12050, 454, 268, 4634, 609, 12889, 267, 22130, 568, 16999, 1570, 538, 519, 1158, 454, 268, 24544, 540, 519, 17184, 18325, 18422, 16880, 281, 21474, 782, 519, 1769, 538, 519, 7122, 2094, 519, 8262, 10854, 454, 268, 18726, 4702, 32290, 19498, 262, 2631, 540, 9329, 454, 268, 2353, 28683, 10480, 811, 899, 513, 23881, 935, 982, 513, 25438, 850, 267, 1007, 1353, 9060, 454, 268, 1412, 16954, 25468, 262, 9325, 11444, 9153, 1732, 16864, 23760, 9075, 0, 763, 8551, 543, 13458, 19510, 540, 519, 3427, 585, 513, 9177, 540, 13458, 267, 6212, 593, 1382, 593, 1114, 7499, 7341, 602, 616, 1373, 610, 723, 1044, 5645, 856, 543, 799, 946, 7499, 1893, 585, 4708, 2679, 7341, 269, 3203, 607, 513, 1797, 540, 11589, 543, 14379, 519, 2175, 4478, 721, 568, 849, 513, 3532, 1797, 540, 9870, 4656, 543, 2306, 721, 2992, 2390, 938, 8456, 543, 7180, 269, 898, 849, 8992, 7589, 543, 4708, 2679, 267, 12958, 17604, 2418, 543, 7512, 5188, 1063, 5481, 543, 1063, 4529, 563, 763, 8551, 543, 13458, 19510, 779, 1292, 6662, 568, 519, 13319, 267, 1702, 543, 14839, 540, 1114, 7341, 602, 1397, 519, 3095, 1063, 6575, 543, 4708, 538, 1114, 2694, 540, 519, 1158, 269, 634, 19510, 814, 849, 519, 1739, 1808, 6859, 912, 268, 26472, 1382, 593, 519, 4890, 2078, 1063, 6575, 543, 4708, 538, 1114, 2694, 540, 519, 1158, 267, 609, 2027, 8561, 593, 1346, 2127, 4299, 676, 4655, 267, 1141, 1148, 814, 5129, 513, 1883, 1909, 538, 519, 6604, 267, 1416, 1282, 519, 6433, 543, 538, 519, 14317, 1184, 267, 16646, 267, 1514, 7004, 543, 2679, 540, 513, 2528, 540, 4708, 563, 268, 11120, 22626, 519, 5385, 267, 10009, 543, 3892, 540, 1344, 827, 519, 2078, 1063, 6575, 543, 4708, 607, 513, 1907, 540, 1702, 267, 8086, 267, 2079, 543, 23730, 8400, 593, 519, 1909, 540, 519, 6575, 538, 4655, 543, 4708, 563, 268, 26472, 519, 1702, 540, 519, 4540, 2078, 1063, 7499, 2853, 543, 4708, 2679, 3157, 267, 2429, 6101, 610, 13016, 2866, 610, 4081, 2238, 563, 268, 9198, 908, 5698, 543, 7589, 6402, 609, 1004, 267, 2950, 267, 543, 3084, 610, 3486, 22257, 610, 1875, 22257, 9988, 267, 538, 1931, 547, 1020, 519, 3203, 543, 13458, 19510, 3785, 540, 519, 3427, 585, 513, 9177, 540, 13458, 269, 0, 3201, 298, 3201, 296, 269, 589, 2165, 8385, 4294, 547, 519, 607, 1127, 540, 2371, 269, 634, 2165, 568, 1631, 3622, 1031, 547, 1374, 622, 1494, 1662, 267, 14614, 267, 543, 20342, 269, 700, 830, 543, 3172, 525, 807, 616, 12659, 8932, 268, 792, 2195, 269, 8000, 9914, 267, 865, 1019, 636, 267, 16864, 543, 267, 6299, 29899, 616, 12659, 8932, 8407, 269, 634, 12659, 8932, 268, 792, 2195, 267, 18654, 543, 3172, 525, 807, 267, 616, 4646, 676, 519, 9769, 540, 7513, 543, 13101, 609, 5135, 269, 4340, 547, 19850, 928, 543, 22255, 330, 267, 519, 3252, 540, 30175, 625, 543, 12659, 8932, 268, 24160, 568, 607, 1165, 1970, 338, 281, 634, 5214, 1412, 659, 1749, 267, 642, 714, 269, 2433, 3404, 531, 545, 267, 4731, 545, 267, 25188, 541, 545, 267, 3632, 878, 267, 3092, 12727, 7528, 790, 30175, 625, 543, 12659, 8932, 1274, 2195, 547, 1106, 519, 20919, 799, 2291, 538, 2371, 267, 607, 3787, 691, 3433, 540, 1494, 1662, 538, 519, 18812, 267, 3404, 531, 622, 540, 18654, 538, 14043, 6122, 2314, 267, 4731, 622, 540, 18654, 538, 10269, 282, 543, 1510, 891, 13279, 621, 568, 267, 5310, 267, 538, 1034, 2665, 7543, 585, 519, 7408, 547, 581, 4646, 267, 1498, 538, 519, 10538, 543, 11993, 3632, 878, 3679, 6818, 538, 519, 9296, 321, 1441, 610, 1863, 1533, 267, 543, 538, 1585, 2371, 267, 607, 24622, 969, 643, 636, 818, 321, 648, 636, 267, 543, 595, 659, 26515, 535, 4815, 2873, 267, 7408, 616, 4646, 1282, 519, 8542, 697, 799, 14897, 538, 519, 1554, 269, 634, 3762, 540, 891, 2371, 616, 11877, 538, 519, 6640, 23463, 13820, 6804, 693, 29869, 267, 543, 15280, 693, 3781, 1325, 32039, 6950, 616, 513, 1362, 540, 4703, 1360, 3875, 538, 20715, 543, 16392, 2371, 267, 540, 799, 789, 13822, 519, 3742, 2379, 524, 2118, 269, 12832, 13534, 267, 14185, 514, 543, 519, 334, 1532, 668, 514, 616, 519, 1614, 2348, 606, 6694, 1719, 267, 543, 616, 4330, 676, 3627, 8725, 538, 1215, 15867, 1186, 22320, 267, 607, 5205, 267, 519, 5515, 7923, 547, 519, 5022, 595, 267, 670, 267, 715, 267, 476, 271, 267, 1374, 908, 519, 3448, 8167, 598, 512, 7134, 540, 3327, 267, 7250, 267, 9436, 543, 3404, 344, 1024, 281, 12832, 13534, 267, 595, 1015, 267, 715, 273, 267, 568, 519, 27640, 5328, 543, 5393, 20715, 6240, 538, 10269, 267, 1141, 621, 6818, 538, 4999, 609, 4731, 545, 543, 3632, 878, 7408, 269, 769, 519, 6986, 1533, 621, 568, 513, 2681, 1652, 2676, 334, 1176, 5277, 267, 2348, 519, 17627, 540, 10269, 538, 606, 3665, 4110, 269, 898, 568, 5343, 762, 543, 19979, 267, 543, 865, 14686, 602, 513, 2582, 6749, 786, 6146, 513, 1804, 2915, 269, 3943, 10269, 3568, 476, 278, 610, 476, 279, 829, 1298, 1421, 9098, 476, 277, 610, 476, 278, 829, 1298, 1421, 543, 15930, 543, 12794, 642, 3570, 827, 476, 273, 829, 1298, 269, 540, 15522, 269, 12832, 13534, 3568, 476, 1704, 269, 274, 829, 1298, 267, 540, 9436, 267, 855, 1100, 5135, 269, 595, 25377, 514, 267, 595, 338, 267, 670, 22473, 267, 715, 275, 267, 476, 6349, 267, 6818, 538, 6995, 543, 7401, 267, 5916, 609, 512, 2335, 545, 3679, 269, 769, 519, 6986, 1533, 621, 3029, 3043, 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 ]
[ 3136, 547, 7771, 607, 4390, 4679, 563, 763, 2278, 1131, 899, 547, 9684, 31130, 631, 1047, 334, 267, 12751, 26831, 540, 1855, 752, 27670, 543, 1699, 5518, 540, 519, 29154, 331, 550, 345, 5980, 267, 585, 1200, 9295, 593, 519, 1699, 1533, 540, 1627, 12710, 2861, 16843, 22794, 563, 272, 269, 681, 269, 645, 13145, 267, 589, 269, 23045, 543, 670, 310, 16399, 267, 7186, 267, 476, 14321, 267, 476, 31979, 277, 267, 476, 2735, 268, 1001, 630, 3707, 280, 1916, 273, 269, 681, 269, 3938, 333, 1195, 518, 267, 808, 290, 2701, 13145, 543, 667, 295, 18722, 267, 1323, 531, 269, 6314, 1421, 476, 5392, 267, 476, 1691, 267, 476, 25375, 276, 268, 25375, 278, 630, 3192, 278, 1916, 275, 269, 681, 269, 13225, 1173, 6072, 267, 962, 291, 1912, 531, 543, 918, 269, 962, 12317, 267, 10331, 269, 15190, 4592, 4302, 1421, 476, 1822, 24907, 28434, 8099, 15836, 7761, 630, 1708, 272, 1916, 276, 269, 595, 269, 918, 826, 3899, 1696, 620, 1421, 2233, 269, 11347, 267, 476, 279, 267, 476, 272, 267, 476, 272, 268, 1015, 630, 1001, 279, 1916, 277, 269, 595, 269, 918, 826, 3899, 1696, 620, 1421, 2233, 269, 11347, 267, 476, 279, 267, 476, 272, 267, 7110, 630, 1001, 279, 1916, 278, 269, 570, 303, 654, 549, 10964, 267, 623, 269, 631, 4157, 615, 329, 2465, 543, 681, 269, 13225, 1173, 6072, 267, 8890, 560, 267, 476, 16318, 267, 476, 272, 267, 476, 4037, 268, 8064, 630, 1001, 278, 1040, 0, 763, 5741, 717, 9790, 6199, 26496, 540, 4563, 6229, 781, 25470, 18225, 910, 11730, 476, 6321, 3143, 269, 476, 4097, 279, 267, 5239, 267, 476, 7277, 275, 676, 15316, 454, 2108, 14367, 6063, 2572, 4359, 538, 4395, 540, 519, 4441, 267, 609, 519, 31350, 534, 818, 7129, 540, 5900, 31647, 267, 519, 521, 1782, 619, 267, 543, 519, 24767, 540, 2558, 592, 956, 543, 540, 519, 774, 571, 857, 753, 269, 634, 26462, 540, 519, 1850, 687, 4553, 609, 3500, 3268, 267, 607, 519, 14869, 1145, 540, 519, 3616, 2032, 21235, 2556, 267, 1352, 2741, 1229, 9944, 741, 11369, 6840, 267, 865, 607, 547, 2057, 10007, 543, 21985, 269, 2311, 513, 9645, 3845, 519, 8396, 3459, 609, 17579, 525, 540, 21985, 267, 543, 693, 1101, 609, 3160, 1967, 269, 634, 717, 4954, 338, 1185, 519, 5413, 538, 2990, 267, 519, 14564, 538, 519, 1297, 543, 3099, 540, 741, 7916, 269, 634, 2962, 4797, 267, 519, 7862, 1100, 3476, 7283, 269, 634, 7522, 543, 6366, 11369, 6840, 540, 519, 717, 4954, 338, 6870, 873, 13385, 569, 281, 4166, 2348, 1163, 2105, 741, 546, 11301, 543, 795, 320, 767, 1231, 267, 789, 1336, 2933, 15587, 771, 28534, 281, 585, 693, 602, 3845, 741, 26453, 637, 941, 24631, 269, 1306, 789, 1185, 1500, 1100, 5542, 540, 1166, 6493, 543, 10007, 25656, 267, 789, 25868, 519, 1101, 799, 4960, 28520, 538, 741, 1259, 267, 799, 941, 585, 519, 1034, 851, 1932, 1804, 547, 581, 3362, 29937, 539, 267, 610, 585, 538, 23024, 27624, 7916, 547, 12235, 609, 1198, 269, 634, 14564, 267, 29285, 267, 23953, 1524, 2390, 873, 513, 12638, 748, 30339, 540, 21985, 267, 795, 320, 767, 1231, 267, 543, 1291, 523, 11084, 267, 799, 20754, 873, 267, 1510, 741, 2348, 1022, 7872, 540, 9319, 519, 1935, 269, 2608, 2608, 2608, 2608, 589, 1390, 1297, 1185, 3787, 519, 7452, 267, 1866, 7550, 519, 1576, 540, 678, 5241, 1318, 593, 519, 10546, 267, 543, 789, 267, 693, 2547, 267, 1705, 711, 829, 880, 796, 822, 1263, 539, 269, 898, 729, 519, 24767, 540, 519, 4936, 6063, 2572, 945, 1705, 873, 1034, 2800, 269, 1452, 6063, 2572, 5645, 593, 741, 2451, 6186, 513, 11369, 2401, 1614, 3952, 538, 2450, 267, 538, 741, 1318, 1688, 795, 320, 767, 1231, 267, 799, 789, 28520, 689, 7192, 541, 267, 693, 741, 575, 2273, 548, 513, 5053, 18156, 282, 950, 621, 729, 2556, 547, 4497, 538, 2673, 3346, 267, 789, 11843, 741, 795, 320, 767, 1231, 547, 519, 2451, 1688, 267, 543, 16668, 741, 18156, 269, 23225, 717, 4954, 338, 1631, 7283, 593, 3723, 281, 7487, 1287, 519, 1850, 687, 4434, 547, 519, 5279, 267, 789, 19679, 10511, 527, 2299, 547, 741, 3786, 267, 799, 519, 15372, 540, 519, 21318, 540, 2021, 267, 1453, 543, 2025, 2367, 945, 941, 9505, 909, 1369, 621, 267, 2907, 4904, 609, 31341, 543, 10539, 1848, 1765, 263, 296, 269, 476, 32699, 268, 4391, 277, 8094, 763, 824, 1079, 9587, 1185, 267, 689, 519, 2352, 2470, 540, 519, 2666, 267, 1044, 8572, 547, 1118, 1022, 3356, 269, 2494, 2993, 639, 1631, 3366, 593, 1010, 1850, 542, 2456, 547, 14213, 519, 703, 3402, 618, 267, 799, 789, 5645, 693, 519, 18156, 779, 1448, 269, 589, 1906, 2395, 1310, 713, 11802, 267, 2494, 2993, 639, 4359, 609, 1010, 15112, 11244, 7952, 547, 4323, 519, 570, 10635, 6996, 267, 945, 941, 703, 27221, 593, 6778, 631, 20235, 517, 269, 901, 6370, 11696, 1194, 1454, 267, 1312, 538, 922, 3356, 543, 538, 922, 26694, 267, 519, 835, 799, 28263, 621, 269, 634, 570, 10635, 6996, 941, 9141, 609, 26718, 689, 519, 2361, 267, 543, 741, 3786, 3144, 269, 2598, 2869, 1243, 676, 713, 5595, 14710, 267, 519, 8895, 520, 2103, 267, 945, 1185, 678, 718, 1221, 741, 16559, 4229, 3297, 519, 16199, 903, 267, 647, 539, 585, 4708, 269, 634, 14564, 267, 964, 3931, 2864, 547, 598, 4290, 5573, 982, 547, 8886, 622, 713, 2112, 3697, 1004, 267, 8806, 3169, 539, 602, 789, 1058, 21704, 519, 2244, 799, 789, 1185, 3144, 689, 519, 16167, 540, 7507, 267, 543, 602, 789, 1058, 2285, 909, 741, 29595, 543, 2392, 2218, 6208, 267, 865, 3614, 21874, 547, 782, 741, 30256, 269, 7201, 519, 3310, 540, 519, 7142, 4708, 538, 799, 519, 1641, 542, 540, 5607, 547, 519, 14564, 6854, 519, 8895, 520, 2103, 267, 741, 25654, 6385, 4957, 269, 1306, 328, 1738, 17195, 3576, 519, 1747, 540, 7187, 3046, 8663, 640, 282, 519, 10847, 540, 519, 3084, 10971, 729, 14460, 267, 543, 519, 7329, 11169, 540, 519, 24928, 941, 2655, 21114, 538, 741, 4055, 282, 519, 21432, 23157, 540, 3504, 2395, 267, 5795, 1747, 547, 22514, 906, 540, 13711, 543, 4154, 281, 2943, 513, 2370, 1247, 267, 543, 519, 2530, 540, 3084, 25654, 729, 4553, 676, 519, 2530, 540, 2797, 22864, 282, 519, 4012, 626, 20874, 267, 19497, 1528, 633, 267, 1631, 2968, 22420, 282, 519, 3885, 945, 721, 584, 6244, 713, 17979, 4646, 267, 538, 1576, 540, 942, 267, 513, 6505, 543, 782, 27703, 995, 18211, 7100, 269, 19264, 819, 3908, 519, 1297, 540, 891, 4012, 626, 20874, 282, 689, 12964, 789, 941, 4389, 547, 2185, 282, 693, 2063, 789, 941, 1298, 1042, 538, 513, 2582, 1688, 281, 865, 602, 950, 8895, 520, 807, 729, 8087, 607, 513, 11662, 547, 519, 4936, 10504, 267, 621, 729, 18170, 676, 513, 22420, 4622, 269, 8616, 267, 9624, 713, 721, 584, 335, 566, 540, 519, 19988, 1379, 267, 519, 3084, 14643, 540, 519, 8422, 25569, 1869, 4797, 547, 2291, 267, 543, 4217, 538, 519, 2229, 540, 519, 1533, 563, 7628, 8938, 1296, 4708, 7449, 13554, 1063, 519, 8895, 520, 2103, 543, 741, 1306, 328, 1738, 30256, 269, 2311, 519, 1439, 540, 602, 1974, 267, 2705, 267, 513, 2112, 13264, 856, 267, 543, 10788, 1645, 13164, 2899, 811, 3459, 547, 29906, 519, 23617, 540, 5607, 19724, 282, 950, 7507, 954, 12723, 267, 543, 676, 1200, 25019, 4708, 729, 17468, 269, 631, 603, 5090, 919, 267, 796, 1746, 9944, 1010, 32022, 782, 519, 7060, 540, 519, 5101, 267, 22755, 1394, 585, 513, 1247, 519, 4936, 32608, 267, 543, 8604, 827, 547, 11177, 741, 3504, 18710, 547, 519, 1306, 9332, 923, 269, 634, 8895, 520, 2103, 8678, 609, 1864, 282, 855, 741, 535, 23474, 2968, 16143, 267, 543, 646, 25868, 2390, 24239, 540, 741, 8821, 956, 607, 3984, 1137, 269, 2037, 571, 3022, 693, 713, 2126, 267, 789, 4646, 513, 4729, 547, 18272, 3729, 1864, 282, 621, 729, 21616, 267, 543, 519, 931, 2869, 2209, 941, 3592, 782, 30217, 3585, 2322, 547, 2669, 693, 513, 7333, 21103, 269, 3571, 10136, 1287, 14027, 267, 3576, 15896, 540, 8895, 520, 807, 267, 799, 729, 18170, 676, 835, 540, 1010, 10492, 609, 1202, 565, 775, 543, 15746, 585, 12964, 1296, 269, 2311, 2063, 513, 27693, 13264, 856, 282, 1010, 20679, 941, 9141, 689, 519, 2197, 282, 8895, 520, 807, 729, 2899, 811, 1863, 269, 634, 14710, 540, 631, 603, 5090, 919, 676, 519, 4936, 7916, 24458, 741, 7115, 585, 513, 2110, 942, 282, 855, 519, 1964, 540, 5607, 729, 1631, 1641, 547, 519, 14564, 269, 28259, 539, 267, 17158, 539, 593, 782, 5011, 676, 741, 1379, 267, 8895, 520, 807, 26857, 693, 2063, 267, 543, 729, 4389, 547, 519, 1106, 540, 513, 4936, 11662, 538, 519, 942, 540, 31217, 563, 2080, 631, 269, 774, 1512, 787, 7475, 519, 1101, 851, 540, 1010, 3778, 540, 519, 717, 4954, 338, 282, 543, 3976, 2484, 649, 723, 4553, 1864, 1900, 676, 1900, 267, 1317, 649, 2808, 713, 1312, 519, 2547, 1634, 543, 519, 1034, 4277, 6712, 540, 717, 4954, 880, 1686, 269, 634, 1079, 5712, 799, 1246, 616, 811, 5432, 547, 3140, 3988, 281, 1317, 267, 1282, 873, 267, 7507, 729, 519, 1390, 10546, 540, 519, 717, 4954, 338, 282, 543, 952, 1352, 814, 1419, 23080, 7007, 1200, 9396, 1846, 267, 1352, 814, 693, 2547, 2760, 8959, 547, 12225, 1834, 1200, 24984, 269, 9747, 1721, 628, 267, 4061, 267, 649, 4927, 1100, 3476, 3801, 547, 1246, 519, 8142, 540, 1010, 2239, 269, 634, 24984, 540, 631, 23581, 267, 519, 11044, 540, 595, 19508, 338, 541, 267, 1796, 538, 1100, 991, 540, 938, 3007, 1373, 9859, 547, 873, 267, 607, 547, 519, 10617, 540, 519, 645, 1066, 333, 538, 10255, 267, 610, 519, 9518, 3949, 540, 519, 554, 867, 324, 538, 5607, 19724, 269, 3371, 649, 1491, 4734, 540, 519, 717, 4954, 607, 519, 9518, 1359, 9930, 611, 282, 649, 723, 2938, 1864, 29595, 998, 519, 2244, 540, 519, 24928, 609, 3595, 543, 18156, 282, 855, 519, 5662, 540, 642, 3188, 766, 814, 1631, 2097, 267, 543, 649, 4927, 1294, 1864, 18053, 538, 642, 664, 593, 1010, 5065, 3037, 585, 602, 15698, 540, 799, 646, 1185, 865, 1419, 27226, 1866, 563, 300, 269, 774, 1512, 787, 10741, 1010, 1686, 540, 519, 2034, 1974, 609, 606, 9765, 5944, 4277, 2272, 540, 519, 1533, 540, 717, 4954, 1282, 519, 2034, 543, 3791, 5553, 1354, 938, 5736, 269, 717, 4954, 729, 1287, 20948, 676, 1614, 3982, 3885, 610, 14797, 269, 1635, 519, 30345, 1014, 1920, 1765, 323, 22866, 883, 519, 589, 10181, 1622, 543, 519, 700, 580, 999, 269, 1635, 519, 717, 4954, 880, 1920, 1765, 323, 22866, 883, 519, 717, 4954, 338, 267, 519, 13690, 787, 267, 543, 519, 5617, 326, 2103, 269, 1656, 676, 519, 594, 20897, 8566, 9127, 1920, 267, 610, 519, 11317, 540, 519, 3532, 543, 30436, 17535, 543, 5010, 1533, 540, 7136, 26515, 269, 634, 30345, 1014, 543, 594, 20897, 8566, 872, 802, 267, 3885, 30939, 26483, 855, 513, 1507, 6712, 540, 717, 4954, 267, 991, 711, 1033, 664, 721, 269, 2060, 519, 717, 4954, 338, 649, 723, 811, 547, 798, 269, 3776, 2278, 3947, 519, 1739, 2272, 540, 519, 1259, 538, 799, 741, 8513, 729, 5258, 10838, 519, 1614, 1114, 13164, 540, 713, 1920, 281, 1765, 454, 28317, 1899, 799, 267, 4259, 856, 689, 519, 5023, 540, 519, 570, 2335, 267, 5205, 519, 1576, 540, 602, 5757, 267, 1287, 602, 540, 519, 10910, 821, 267, 519, 1772, 518, 267, 519, 32595, 267, 519, 10910, 710, 267, 519, 966, 657, 2471, 267, 519, 3331, 484, 323, 333, 1014, 15113, 267, 519, 10753, 790, 267, 519, 966, 1329, 928, 267, 543, 2501, 693, 2063, 547, 556, 21860, 519, 12275, 517, 928, 267, 676, 7432, 519, 29415, 540, 1488, 591, 11844, 281, 602, 1899, 1131, 5176, 4931, 18285, 519, 22590, 540, 519, 11829, 545, 5198, 269, 634, 8513, 13883, 547, 519, 7532, 540, 602, 3970, 20705, 547, 519, 5198, 540, 519, 13690, 787, 282, 621, 729, 538, 942, 5258, 883, 1079, 13980, 676, 519, 1899, 540, 519, 1530, 710, 543, 519, 3057, 928, 267, 519, 835, 7187, 543, 519, 824, 7013, 269, 1677, 519, 5045, 267, 1063, 519, 1530, 710, 543, 519, 12275, 517, 928, 267, 5030, 519, 13690, 787, 540, 519, 1101, 12289, 267, 954, 2719, 1194, 609, 11829, 545, 1973, 267, 610, 519, 11829, 334, 11860, 574, 787, 269, 1677, 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 ]
[ 1354, 25054, 593, 513, 3032, 600, 15546, 22892, 3460, 269, 30318, 3688, 1331, 1384, 265, 9608, 29404, 3457, 630, 303, 293, 17762, 264, 5078, 585, 1216, 2238, 454, 265, 30785, 7802, 543, 31321, 585, 8795, 4365, 2175, 454, 265, 6129, 4027, 630, 338, 12584, 10547, 267, 11058, 267, 23475, 28904, 994, 265, 9442, 3457, 630, 309, 295, 293, 5925, 267, 1591, 6049, 994, 265, 32522, 2645, 630, 24577, 7120, 614, 267, 15870, 3926, 994, 265, 17073, 15202, 3937, 630, 4148, 4100, 267, 27646, 994, 265, 3689, 5351, 6539, 454, 265, 15484, 18145, 543, 22302, 2694, 11891, 692, 2005, 568, 849, 1898, 547, 1685, 2834, 24422, 540, 782, 2565, 3334, 267, 971, 607, 26083, 8699, 267, 6551, 3101, 8082, 267, 543, 7344, 1949, 267, 547, 7413, 519, 1981, 540, 10913, 610, 2736, 23957, 1282, 5106, 780, 28723, 9697, 600, 15546, 590, 9430, 9828, 454, 5785, 21387, 5629, 2596, 28671, 814, 1044, 3964, 267, 3032, 600, 15546, 25501, 666, 2263, 811, 4359, 2553, 547, 3986, 741, 2949, 1995, 269, 2368, 8037, 4359, 3584, 1331, 1384, 1262, 294, 344, 6883, 5093, 9521, 8214, 532, 267, 799, 3322, 7432, 519, 6367, 998, 519, 2842, 267, 14934, 6883, 14122, 4657, 4287, 676, 7432, 519, 29523, 998, 519, 2842, 269, 7743, 11056, 540, 713, 23603, 3340, 6297, 11558, 1063, 12284, 2818, 267, 5730, 23376, 3403, 267, 543, 7580, 1292, 9917, 564, 2359, 547, 2061, 23139, 795, 756, 525, 543, 1761, 11503, 1125, 7653, 780, 1262, 293, 334, 4979, 5093, 15019, 1242, 676, 1164, 3491, 12803, 14797, 899, 519, 3013, 781, 19067, 267, 23240, 29374, 3032, 600, 541, 753, 8415, 8652, 325, 334, 2812, 547, 12740, 519, 26083, 338, 13148, 610, 4625, 856, 540, 519, 1216, 693, 3432, 269, 1635, 4227, 5951, 4187, 543, 2810, 4398, 267, 9087, 4979, 3032, 600, 541, 753, 3035, 7415, 10231, 543, 7829, 4162, 267, 13321, 519, 22892, 1995, 883, 606, 17938, 1791, 908, 11878, 7429, 1022, 824, 269, 1717, 267, 13215, 713, 4480, 7569, 9645, 5578, 267, 2259, 267, 543, 11428, 780, 21010, 532, 9697, 600, 15546, 590, 9430, 609, 7351, 12367, 543, 7464, 21509, 6201, 454, 5785, 5785, 14945, 2026, 2825, 9637, 3587, 5051, 1271, 538, 2221, 781, 2486, 267, 10357, 7888, 8925, 547, 2757, 8093, 4492, 14617, 7286, 27668, 1949, 3136, 547, 2744, 20086, 1369, 519, 22892, 2146, 269, 5082, 29182, 19443, 27668, 1949, 267, 3859, 8470, 19698, 267, 543, 7250, 518, 2209, 616, 1175, 513, 1906, 1806, 540, 6932, 4066, 1373, 7471, 883, 2413, 3032, 600, 541, 753, 547, 7413, 3327, 5434, 543, 3895, 4264, 2853, 269, 3958, 267, 10319, 3646, 1851, 9858, 267, 26767, 267, 543, 9431, 4703, 2832, 547, 2417, 13217, 3032, 600, 15546, 1374, 4441, 267, 4180, 6099, 2773, 267, 3106, 267, 543, 10333, 585, 2104, 5481, 540, 25501, 780, 6962, 454, 29603, 5804, 922, 18803, 20297, 538, 3504, 2717, 2106, 14198, 2528, 547, 922, 4207, 23314, 607, 513, 3090, 540, 17195, 543, 5647, 267, 3032, 600, 15546, 22892, 3091, 513, 9159, 19214, 883, 519, 2479, 21608, 1158, 540, 1216, 5026, 269, 1306, 811, 2043, 3605, 519, 3675, 903, 540, 713, 6422, 543, 2502, 16351, 13287, 267, 621, 568, 2312, 602, 3032, 600, 15546, 22892, 786, 2611, 606, 11972, 2707, 540, 6667, 267, 10761, 267, 543, 4276, 609, 938, 4541, 781, 1034, 10475, 4199, 1107, 1216, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 2355, 15638, 31777, 1218, 595, 2378, 15530, 13957, 5158, 590, 697, 572, 4370, 19255, 4771, 12182, 1564, 454, 763, 5032, 779, 1655, 268, 651, 696, 11580, 454, 291, 787, 12942, 9931, 454, 28495, 3753, 2025, 6149, 6821, 454, 301, 4113, 1015, 910, 5360, 21747, 5299, 454, 4517, 4706, 4934, 12921, 16630, 454, 20112, 523, 2025, 625, 9575, 593, 4342, 454, 292, 590, 590, 661, 715, 30263, 589, 700, 454, 290, 594, 570, 312, 717, 772, 594, 667, 661, 590, 454, 288, 1990, 17965, 21107, 547, 11200, 454, 6635, 337, 2526, 1299, 15775, 15907, 454, 20524, 1018, 649, 1412, 557, 20114, 454, 306, 5308, 256, 5620, 1100, 4250, 267, 16038, 24688, 568, 1934, 454, 291, 531, 3901, 1014, 2098, 698, 7702, 476, 5379, 454, 305, 684, 547, 519, 15113, 454, 30949, 17943, 476, 1015, 454, 291, 787, 12942, 9931, 476, 4366, 454, 16605, 333, 621, 1483, 454, 25565, 1106, 540, 4070, 454, 290, 9130, 807, 779, 10555, 11866, 454, 292, 2675, 1901, 519, 24921, 454, 290, 11857, 1299, 15638, 454, 288, 4584, 1412, 333, 262, 1592, 547, 6505, 523, 707, 3251, 454, 307, 516, 5501, 930, 16837, 454, 2171, 2285, 596, 519, 3694, 1412, 333, 262, 7423, 540, 1141, 547, 3548, 454, 307, 805, 3054, 610, 581, 5701, 454, 303, 878, 6804, 4025, 543, 1207, 903, 454, 763, 3020, 2495, 540, 968, 4777, 711, 11145, 7536, 30949, 8998, 4786, 454, 22081, 781, 602, 6653, 5694, 18313, 5472, 538, 513, 1554, 454, 303, 31441, 3905, 4388, 454, 290, 4752, 2465, 1299, 595, 1389, 454, 763, 1283, 1205, 25498, 454, 6701, 596, 4712, 547, 5428, 888, 6826, 5189, 547, 930, 2757, 2081, 540, 1272, 689, 18243, 3901, 1014, 2098, 698, 7702, 267, 1294, 2985, 476, 5379, 267, 17421, 676, 667, 639, 2088, 4165, 324, 15016, 597, 267, 966, 337, 326, 528, 659, 12875, 626, 4425, 541, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29272, 600, 15546, 590, 9430, 257, 607, 851, 540, 834, 9915, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 4826, 11846, 1315, 590, 9430, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 11192, 9107, 29325, 17380, 5362, 538, 11470, 692, 8702, 267, 1762, 3988, 256, 5620, 596, 2479, 1224, 513, 1433, 1305, 538, 513, 1158, 602, 4667, 3501, 693, 1101, 855, 7140, 856, 547, 581, 6417, 676, 513, 3532, 6392, 286, 2334, 781, 1018, 649, 1289, 513, 2698, 9107, 29711, 807, 256, 901, 1576, 1770, 786, 2263, 1079, 13858, 2835, 4904, 609, 9814, 543, 7045, 1247, 1565, 827, 891, 4241, 14070, 10600, 269, 1924, 10544, 707, 5172, 1433, 267, 1694, 1394, 267, 543, 1577, 781, 4685, 883, 519, 9159, 7706, 540, 2698, 9107, 29711, 5362, 2439, 1432, 616, 11192, 9107, 29325, 17380, 5362, 888, 29432, 5331, 2713, 538, 513, 1747, 1141, 3388, 5654, 1390, 28559, 621, 3884, 1405, 1317, 1004, 1810, 1405, 2731, 723, 5191, 269, 1358, 666, 1405, 3442, 945, 789, 1616, 547, 581, 610, 798, 8726, 2306, 873, 6126, 282, 3079, 267, 972, 781, 835, 2462, 20148, 9013, 1169, 2460, 540, 1272, 269, 16319, 17559, 267, 1318, 286, 4270, 267, 602, 781, 4010, 1018, 4523, 538, 2698, 9107, 29711, 5362, 256, 1452, 16494, 7239, 949, 3100, 5863, 950, 596, 1376, 2542, 267, 855, 4166, 2614, 267, 11580, 19586, 13031, 7453, 3652, 267, 1100, 7834, 267, 543, 3908, 2123, 5079, 780, 4131, 781, 1413, 693, 930, 1806, 689, 2442, 2835, 1384, 2162, 2608, 4263, 20393, 1744, 745, 13949, 265, 676, 589, 2106, 11969, 692, 1103, 713, 3209, 267, 938, 5869, 710, 667, 1725, 344, 570, 12000, 691, 13290, 1200, 1655, 547, 1832, 1919, 4881, 12347, 5103, 6849, 1082, 2591, 1813, 547, 2229, 13779, 269, 5994, 2348, 2576, 2995, 596, 875, 1454, 2724, 596, 666, 7118, 610, 799, 3785, 596, 2811, 4847, 547, 960, 593, 256, 15434, 5414, 267, 26001, 286, 1809, 602, 781, 10502, 1018, 781, 8345, 1934, 780, 2162, 2608, 763, 17781, 265, 676, 25272, 17378, 619, 692, 2080, 781, 1776, 10578, 1650, 827, 631, 2801, 26652, 267, 513, 1007, 9441, 693, 634, 17781, 267, 513, 10509, 2754, 9621, 8788, 543, 1967, 952, 1152, 3025, 5205, 922, 4808, 269, 2311, 1101, 267, 2324, 972, 7959, 899, 513, 5326, 2097, 3020, 267, 855, 1287, 631, 2801, 30877, 602, 4687, 782, 1344, 2228, 1797, 9561, 4357, 4555, 267, 4606, 267, 543, 1256, 3961, 269, 962, 10105, 2439, 3963, 3657, 11192, 9107, 29325, 17380, 5362, 12830, 888, 14343, 13430, 3528, 3695, 891, 2984, 267, 649, 1451, 3407, 4245, 827, 1379, 267, 5539, 267, 543, 23141, 269, 1284, 3605, 1946, 4758, 909, 1932, 1454, 1852, 547, 1175, 835, 1268, 610, 3919, 1522, 1291, 721, 1524, 513, 5906, 2619, 269, 7335, 827, 971, 3665, 3871, 2337, 721, 5660, 519, 2956, 540, 3666, 543, 14619, 538, 1483, 1272, 780, 3086, 602, 596, 917, 811, 827, 2698, 9107, 29711, 5362, 267, 2119, 7234, 891, 2055, 609, 2828, 610, 1920, 2818, 1310, 18138, 2901, 540, 891, 9735, 2835, 1384, 265, 1548, 1131, 4755, 952, 938, 2729, 941, 12199, 676, 513, 2582, 11769, 888, 265, 1215, 1271, 568, 621, 585, 721, 547, 2226, 7115, 543, 13190, 888, 265, 2052, 596, 1589, 540, 1022, 10486, 1063, 2221, 781, 1158, 543, 519, 5468, 4330, 538, 891, 9089, 2496, 8855, 267, 5708, 1419, 19141, 4641, 267, 865, 1620, 1114, 2010, 540, 7239, 2636, 721, 547, 2992, 2390, 6000, 543, 3337, 938, 2104, 20617, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5683, 543, 8739, 27791, 8082, 1063, 2043, 543, 2486, 538, 589, 2106, 11969, 779, 25304, 1744, 745, 13949, 543, 25272, 17378, 619, 685, 634, 17781, 454, 347, 12606, 7300, 4528, 454, 1607, 2376, 12116, 1079, 9089, 267, 25304, 1744, 745, 13949, 630, 4198, 278, 264, 676, 589, 2106, 11969, 543, 634, 17781, 630, 1001, 274, 264, 676, 25272, 17378, 619, 267, 998, 519, 2796, 540, 1977, 16851, 607, 513, 14762, 2797, 543, 8739, 20300, 5075, 602, 21269, 689, 519, 476, 4198, 271, 338, 547, 519, 1459, 269, 25304, 1744, 745, 13949, 27711, 11969, 779, 24575, 540, 513, 29711, 1014, 3013, 3001, 2509, 2493, 1143, 267, 513, 2797, 1062, 1141, 1533, 6608, 723, 1713, 3844, 2213, 1852, 936, 8739, 20300, 12602, 267, 543, 2509, 5621, 745, 1143, 267, 519, 7881, 1141, 3025, 1590, 585, 338, 820, 741, 1378, 4690, 543, 2661, 585, 519, 1455, 1434, 269, 11969, 5104, 868, 777, 4680, 713, 24575, 609, 1200, 23596, 618, 540, 717, 5306, 779, 717, 592, 577, 267, 513, 2588, 18701, 740, 6254, 547, 1018, 1352, 7125, 968, 25677, 24178, 1143, 2223, 513, 1062, 540, 7881, 1141, 3025, 1568, 585, 741, 1582, 29027, 543, 1281, 711, 2307, 585, 519, 15093, 540, 1866, 267, 543, 547, 3288, 23579, 345, 1922, 18311, 16851, 267, 513, 2797, 543, 8739, 20300, 30918, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13707, 9107, 29325, 17380, 807, 257, 607, 851, 540, 834, 11227, 1315, 29325, 17380, 1014, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 607, 649, 2263, 519, 4241, 1158, 540, 2366, 14939, 1143, 1282, 519, 476, 1240, 628, 2540, 256, 901, 5736, 729, 1713, 1317, 1004, 3323, 9878, 811, 3007, 547, 741, 4664, 543, 11589, 873, 16175, 269, 1358, 5156, 602, 1373, 2186, 267, 17519, 267, 543, 6213, 729, 1898, 547, 4742, 1732, 1480, 7919, 269, 4653, 267, 596, 786, 1451, 875, 891, 1007, 2093, 6766, 3332, 543, 4957, 519, 1259, 2984, 941, 5143, 11014, 2439, 4131, 781, 4952, 596, 616, 2713, 538, 519, 476, 10204, 271, 338, 269, 5020, 666, 3006, 581, 9157, 1107, 6148, 707, 1655, 3659, 7575, 2476, 267, 610, 596, 6336, 513, 1726, 25979, 11442, 269, 7982, 1287, 267, 6738, 13522, 4769, 1405, 2141, 2911, 827, 4606, 899, 649, 798, 2221, 269, 1809, 930, 5830, 2219, 621, 729, 1271, 547, 2671, 741, 3197, 262, 4664, 609, 3988, 865, 789, 1223, 1174, 1142, 824, 1732, 269, 1452, 4589, 3459, 2870, 2984, 602, 15504, 693, 1004, 781, 2295, 1598, 902, 267, 1818, 873, 14902, 267, 3956, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1535, 519, 4830, 4756, 267, 543, 535, 3287, 264, 519, 8200, 4756, 6902, 476, 273, 7844, 12096, 532, 10610, 269, 7348, 519, 6278, 2534, 1934, 269, 7348, 519, 30263, 9539, 4944, 790, 2534, 1934, 269, 4841, 949, 581, 5432, 609, 930, 540, 891, 11269, 689, 3105, 6030, 267, 855, 513, 11837, 6516, 1058, 581, 1007, 547, 7223, 1053, 8754, 519, 4214, 269, 634, 3992, 849, 2636, 1053, 547, 8495, 2789, 1599, 2010, 267, 1519, 5276, 267, 12825, 267, 13392, 267, 543, 4062, 3772, 269, 2368, 540, 519, 3211, 10268, 616, 13038, 11269, 540, 5276, 3347, 9344, 476, 278, 476, 279, 267, 12307, 540, 14354, 3347, 267, 476, 279, 628, 3446, 751, 343, 553, 6128, 10002, 17977, 1543, 267, 6103, 1377, 322, 6847, 3992, 22780, 1544, 2012, 7114, 267, 12430, 1875, 14354, 267, 7689, 269, 12430, 17716, 769, 634, 4813, 962, 631, 343, 645, 269, 9502, 540, 513, 9971, 538, 1535, 269, 6103, 476, 280, 11930, 12430, 9534, 910, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 713, 1523, 269, 769, 713, 2789, 11269, 4976, 267, 1053, 4194, 476, 274, 1114, 2042, 647, 532, 2789, 11269, 538, 1483, 1158, 3871, 269, 12793, 3502, 12793, 5590, 540, 18103, 1229, 623, 4202, 269, 7638, 4472, 12430, 17716, 269, 476, 280, 8641, 519, 3070, 1305, 540, 1079, 610, 1614, 5276, 610, 13392, 16526, 269, 2703, 343, 543, 631, 268, 279, 268, 274, 268, 273, 318, 30791, 11724, 725, 7305, 26395, 312, 269, 8382, 6206, 281, 476, 272, 264, 12794, 476, 273, 264, 2506, 476, 274, 264, 3213, 476, 275, 264, 918, 323, 476, 276, 264, 700, 330, 476, 277, 264, 808, 326, 476, 278, 264, 9986, 476, 279, 264, 32363, 476, 280, 264, 10910, 1215, 547, 946, 713, 2534, 10049, 1107, 23805, 267, 3211, 267, 630, 6921, 826, 543, 4070, 1957, 18593, 264, 10925, 1053, 538, 8424, 543, 1688, 873, 1175, 519, 11708, 543, 4834, 630, 335, 7714, 476, 273, 1299, 476, 274, 1040, 901, 568, 689, 513, 4976, 594, 8655, 1282, 1250, 2063, 1032, 538, 519, 4928, 281, 1703, 616, 6266, 540, 1434, 4128, 547, 2307, 1053, 585, 2789, 11269, 540, 3347, 269, 0, 258, 670, 310, 476, 1724, 910, 21583, 263, 5674, 280, 5655, 1107, 670, 310, 1724, 1107, 570, 12569, 296, 1107, 263, 6812, 272, 2568, 476, 272, 901, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 21583, 630, 5674, 280, 5655, 264, 1107, 670, 310, 1724, 1107, 570, 12569, 296, 1107, 630, 6812, 272, 2568, 264, 476, 272, 901, 1820, 13050, 1058, 723, 476, 4029, 2055, 269, 13038, 31547, 2055, 949, 3136, 593, 519, 1985, 6241, 610, 2985, 1107, 1265, 782, 5079, 1354, 16460, 269, 476, 9826, 476, 1015, 269, 271, 2798, 14675, 538, 2011, 666, 1655, 581, 4330, 607, 799, 540, 519, 1739, 1826, 540, 5951, 286, 476, 272, 269, 7043, 15994, 2953, 476, 273, 269, 5082, 11424, 476, 274, 269, 21069, 1242, 476, 275, 269, 570, 832, 1308, 476, 276, 269, 3690, 2091, 19247, 281, 589, 3280, 5951, 538, 519, 2011, 568, 9070, 730, 676, 519, 14251, 566, 540, 2011, 6675, 269, 898, 568, 1655, 4330, 607, 19976, 5951, 269, 476, 16573, 476, 1015, 269, 271, 2798, 5664, 595, 814, 513, 3432, 540, 476, 5611, 271, 544, 4882, 538, 1216, 543, 476, 22430, 544, 4882, 538, 2011, 269, 6496, 621, 723, 513, 3476, 610, 10156, 15423, 538, 1216, 982, 538, 2011, 543, 1946, 286, 476, 272, 269, 7043, 518, 282, 1216, 568, 16437, 518, 982, 2011, 269, 476, 273, 269, 7043, 518, 282, 519, 3432, 540, 3280, 568, 3152, 538, 1216, 982, 538, 2011, 269, 2953, 476, 274, 269, 1744, 7163, 282, 1216, 568, 16437, 518, 982, 2011, 269, 476, 275, 269, 1744, 7163, 282, 519, 3432, 540, 3280, 568, 3152, 538, 1216, 982, 538, 2011, 269, 19247, 281, 15423, 815, 6991, 4908, 634, 6991, 540, 3280, 538, 1216, 568, 3677, 982, 538, 2011, 269, 634, 4908, 3085, 1406, 1689, 267, 865, 519, 15423, 538, 1216, 568, 3677, 982, 538, 2011, 269, 476, 19740, 476, 1015, 269, 271, 2798, 1323, 30173, 3178, 1606, 15929, 6077, 12220, 519, 5836, 5377, 609, 24318, 21319, 6329, 602, 2951, 476, 14631, 271, 544, 1315, 521, 538, 26869, 269, 1215, 2620, 568, 519, 1216, 2047, 2630, 519, 6077, 952, 519, 942, 8488, 540, 519, 16079, 547, 519, 5836, 6989, 543, 1394, 568, 476, 275, 521, 286, 22043, 2626, 281, 476, 27420, 271, 544, 269, 19247, 281, 2913, 2433, 642, 815, 476, 14631, 271, 544, 1315, 521, 543, 18529, 512, 815, 476, 275, 521, 1547, 634, 3280, 3217, 476, 273, 521, 547, 3914, 519, 5836, 6989, 630, 663, 476, 273, 521, 547, 2132, 1070, 865, 546, 815, 642, 512, 815, 630, 14631, 271, 544, 1315, 521, 264, 630, 273, 521, 264, 815, 476, 27420, 271, 544, 1547, 476, 21916, 476, 1015, 269, 271, 2798, 1548, 1079, 6323, 9073, 2049, 538, 513, 2257, 5708, 7260, 602, 2982, 513, 11397, 16411, 538, 9018, 2230, 267, 1141, 596, 1294, 543, 5873, 519, 16411, 693, 519, 1482, 942, 286, 476, 272, 269, 7183, 540, 891, 476, 273, 269, 769, 9018, 2230, 972, 568, 1100, 1570, 547, 4163, 1769, 282, 952, 972, 941, 267, 519, 3280, 1131, 3914, 596, 1354, 519, 1769, 269, 476, 274, 269, 634, 16411, 3112, 2049, 538, 9018, 2230, 282, 952, 621, 1223, 267, 519, 3280, 1131, 3914, 596, 1354, 519, 1769, 269, 476, 275, 269, 634, 16411, 3112, 2049, 538, 9018, 2230, 282, 952, 621, 1223, 267, 519, 5488, 2173, 8221, 1769, 1131, 3914, 596, 1354, 519, 3280, 269, 476, 276, 269, 769, 9018, 2230, 972, 568, 1100, 2011, 547, 4163, 3280, 282, 952, 972, 941, 267, 519, 5488, 2173, 8221, 1769, 1131, 3914, 596, 1354, 519, 3280, 269, 2953, 19247, 281, 3689, 267, 538, 9018, 2230, 972, 568, 1100, 2011, 610, 824, 1570, 547, 4163, 3280, 267, 865, 596, 666, 268, 711, 5873, 519, 3280, 269, 5822, 267, 952, 972, 941, 267, 5488, 2173, 8221, 1769, 1131, 3914, 596, 1354, 519, 3280, 269, 476, 22650, 476, 1015, 269, 271, 2798, 21583, 630, 5674, 280, 5655, 264, 1107, 670, 310, 1724, 1107, 570, 12569, 296, 1107, 630, 6812, 272, 2568, 264, 476, 273, 1548, 10726, 12451, 616, 2009, 609, 7113, 268, 3824, 585, 802, 540, 12451, 476, 16348, 267, 476, 28796, 267, 543, 476, 28360, 21636, 286, 476, 272, 269, 476, 274, 2009, 281, 476, 276, 1428, 21636, 267, 476, 26392, 21636, 267, 543, 476, 276, 1704, 21636, 269, 476, 273, 269, 476, 273, 2009, 281, 476, 273, 21636, 543, 476, 274, 21636, 269, 476, 274, 269, 476, 275, 2009, 281, 476, 273, 21636, 267, 476, 274, 21636, 267, 476, 276, 21636, 267, 543, 476, 278, 21636, 269, 476, 275, 269, 476, 274, 2009, 281, 476, 273, 21636, 267, 476, 274, 21636, 267, 543, 476, 276, 21636, 269, 2953, 476, 276, 269, 476, 274, 2009, 281, 476, 16348, 21636, 267, 476, 28796, 21636, 267, 543, 476, 28360, 21636, 269, 19247, 281, 634, 10726, 12451, 616, 519, 3604, 538, 519, 23643, 12451, 281, 476, 28360, 21636, 268, 476, 28796, 21636, 815, 476, 273, 21636, 2073, 476, 28360, 21636, 268, 476, 16348, 21636, 815, 476, 276, 21636, 2073, 476, 28796, 21636, 268, 476, 16348, 21636, 815, 476, 274, 21636, 3267, 563, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 8525, 272, 1315, 476, 1691, 692, 295, 310, 476, 1724, 910, 21583, 263, 5674, 280, 5655, 1107, 670, 310, 1724, 1107, 570, 12569, 296, 1107, 263, 6812, 272, 2568, 476, 272, 901, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 274, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 300, 6897, 640, 267, 20703, 1275, 267, 8920, 1903, 1299, 623, 2075, 757, 692, 272, 1315, 476, 1321, 692, 258, 631, 6897, 640, 267, 20703, 1275, 267, 8920, 1903, 1299, 623, 2075, 757, 910, 17948, 623, 8976, 19809, 692, 300, 6897, 640, 267, 20703, 1275, 267, 8920, 1903, 1299, 623, 2075, 757, 269, 631, 6897, 640, 269, 631, 6897, 640, 3322, 513, 24855, 2179, 540, 1151, 1393, 267, 865, 952, 596, 616, 2016, 1945, 899, 10101, 267, 596, 1590, 6460, 873, 883, 18253, 1101, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 1012, 631, 6897, 640, 267, 20703, 1275, 267, 8920, 1903, 1299, 623, 2075, 757, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 454, 272, 269, 631, 6897, 640, 267, 20703, 1275, 267, 8920, 1903, 1299, 623, 2075, 757, 692, 273, 269, 631, 6897, 640, 3040, 631, 6897, 640, 3322, 513, 24855, 2179, 540, 1151, 1393, 267, 865, 952, 596, 616, 2016, 1945, 899, 10101, 267, 596, 1590, 6460, 873, 883, 18253, 1101, 269, 3040, 631, 6897, 640, 849, 3322, 519, 4320, 630, 514, 20990, 264, 540, 2698, 3070, 267, 865, 952, 596, 616, 2016, 1945, 899, 20853, 267, 596, 1590, 6460, 873, 883, 20990, 1101, 269, 544, 11169, 700, 631, 692, 274, 269, 5590, 909, 513, 968, 26383, 540, 1344, 892, 602, 8638, 519, 9623, 2016, 538, 519, 1966, 267, 607, 1134, 607, 799, 4756, 596, 616, 6061, 585, 630, 1492, 7790, 264, 32341, 799, 30337, 618, 540, 519, 4542, 596, 991, 547, 4194, 519, 1966, 22417, 4559, 2016, 547, 1346, 2877, 547, 6474, 519, 4559, 538, 519, 4542, 623, 29888, 538, 519, 2418, 543, 4194, 256, 1401, 272, 29687, 6897, 640, 2567, 1548, 568, 519, 24855, 640, 540, 513, 476, 273, 269, 274, 700, 3070, 5627, 476, 7918, 269, 274, 575, 540, 670, 274, 17269, 275, 286, 631, 815, 13322, 318, 12387, 815, 13322, 318, 700, 815, 13322, 318, 631, 815, 12387, 700, 476, 7918, 269, 274, 575, 670, 274, 17269, 275, 476, 272, 12387, 670, 274, 17269, 275, 815, 476, 9032, 269, 4200, 276, 273, 575, 670, 274, 17269, 275, 1547, 4649, 275, 12387, 670, 274, 17269, 275, 7790, 476, 7918, 269, 274, 575, 9890, 12387, 476, 273, 269, 274, 700, 1547, 4649, 275, 815, 1547, 2190, 631, 631, 815, 12387, 700, 815, 1547, 4649, 275, 12387, 476, 273, 269, 274, 700, 692, 275, 269, 20703, 1275, 3040, 20703, 1275, 3322, 513, 24855, 2179, 540, 1151, 1393, 267, 865, 952, 596, 616, 2016, 1945, 899, 10101, 267, 596, 1590, 6460, 873, 883, 18253, 1101, 269, 3040, 20703, 1275, 849, 3322, 519, 2527, 630, 514, 13532, 264, 540, 19857, 267, 865, 952, 596, 616, 2016, 1945, 899, 10101, 267, 596, 1590, 6460, 873, 883, 13532, 1101, 269, 544, 11169, 4846, 544, 692, 276, 269, 5590, 909, 513, 968, 26383, 540, 1344, 892, 602, 8638, 519, 9623, 2016, 538, 519, 1966, 267, 607, 1134, 607, 799, 4756, 596, 616, 6061, 585, 630, 1492, 7790, 264, 32341, 799, 30337, 618, 540, 519, 4542, 596, 991, 547, 4194, 519, 1966, 22417, 4559, 2016, 547, 1346, 2877, 547, 6474, 519, 4559, 538, 519, 4542, 623, 29888, 538, 519, 2418, 543, 4194, 256, 1401, 273, 9852, 565, 1275, 2567, 1215, 1082, 10101, 540, 10878, 5141, 941, 3773, 547, 476, 272, 269, 4366, 4846, 540, 19844, 952, 519, 4611, 3070, 729, 476, 274, 269, 278, 544, 286, 544, 815, 13322, 12387, 815, 13322, 318, 4846, 815, 13322, 318, 544, 815, 12387, 4846, 476, 274, 269, 278, 544, 7790, 630, 514, 575, 264, 476, 272, 269, 4366, 4846, 544, 22461, 11899, 815, 12387, 544, 815, 12387, 4846, 12387, 815, 630, 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 ]
[ 721, 3442, 547, 3251, 267, 2560, 568, 513, 1978, 14882, 6029, 602, 649, 786, 711, 8011, 2560, 1496, 663, 316, 621, 4523, 811, 4122, 602, 513, 3943, 2006, 3587, 5260, 720, 982, 513, 5260, 720, 3587, 513, 3943, 2006, 563, 13070, 872, 532, 609, 519, 20053, 656, 267, 824, 3943, 8387, 3459, 547, 1533, 519, 13777, 1006, 540, 12394, 547, 3540, 1125, 25165, 281, 789, 30403, 1210, 519, 2262, 21473, 322, 5314, 267, 513, 1129, 602, 713, 3609, 1185, 1044, 14460, 563, 3963, 1705, 21473, 322, 5314, 3111, 286, 589, 1067, 785, 2103, 3261, 730, 1082, 1570, 5370, 543, 513, 1906, 4108, 543, 2804, 2853, 855, 15653, 3943, 1893, 267, 9821, 267, 543, 4031, 269, 1358, 1705, 711, 1745, 17071, 547, 519, 3943, 282, 6862, 1705, 789, 3494, 602, 741, 1914, 32241, 2853, 941, 17071, 547, 1346, 540, 519, 3943, 269, 898, 814, 1044, 11130, 602, 513, 3811, 15849, 559, 894, 3609, 12346, 593, 1614, 1898, 2188, 281, 12077, 267, 519, 10230, 17071, 640, 540, 519, 4182, 547, 581, 12842, 282, 513, 4617, 9637, 540, 5065, 3961, 282, 543, 519, 18515, 540, 519, 25165, 547, 581, 15849, 23624, 269, 19768, 532, 891, 2175, 267, 7810, 8128, 2877, 547, 20441, 519, 25165, 20833, 267, 17740, 3320, 267, 543, 1099, 10999, 282, 789, 849, 2877, 519, 1489, 540, 513, 2178, 7810, 2551, 547, 3035, 741, 3853, 269, 8616, 267, 9039, 540, 891, 2175, 729, 1459, 538, 3943, 4516, 563, 302, 24810, 29359, 609, 519, 8942, 547, 15849, 30968, 519, 25165, 1185, 1896, 6405, 2164, 269, 3689, 267, 8561, 17146, 547, 519, 4168, 1436, 540, 25165, 2094, 621, 1223, 27581, 8831, 3943, 3310, 269, 3943, 8387, 2219, 602, 789, 1223, 20441, 1346, 25165, 945, 941, 1641, 547, 519, 5583, 540, 28773, 607, 5289, 9666, 619, 269, 5822, 267, 519, 6578, 6131, 547, 1439, 578, 7826, 5065, 2021, 729, 3045, 592, 1194, 538, 476, 10204, 273, 269, 3955, 3405, 5846, 729, 1100, 3476, 9415, 1256, 952, 621, 729, 711, 2943, 17049, 269, 24722, 771, 650, 4288, 609, 954, 3405, 5846, 729, 14356, 1813, 547, 519, 1259, 519, 4172, 516, 2720, 632, 1630, 529, 1031, 621, 547, 1219, 344, 519, 7810, 1931, 269, 1452, 2367, 941, 1419, 10363, 18318, 945, 711, 1152, 13934, 4123, 30049, 625, 855, 849, 27136, 5674, 539, 20320, 1931, 676, 10024, 519, 2296, 10125, 269, 20616, 8128, 6854, 5360, 8724, 827, 519, 4172, 516, 2720, 632, 1630, 529, 585, 891, 4128, 543, 1317, 891, 1762, 2367, 941, 2713, 585, 1896, 1296, 693, 513, 942, 1851, 6805, 9082, 267, 3592, 3544, 3943, 1514, 543, 3909, 14604, 269, 24722, 8942, 547, 10038, 519, 9663, 4123, 543, 2061, 811, 543, 811, 3943, 5443, 689, 1373, 3238, 538, 519, 4123, 782, 8959, 543, 267, 538, 476, 15433, 277, 267, 7262, 9467, 9708, 941, 14460, 543, 18318, 10288, 547, 2132, 547, 519, 2295, 540, 519, 12733, 269, 26681, 2489, 993, 333, 17965, 6862, 2669, 6937, 18617, 18318, 547, 2285, 909, 741, 29988, 16450, 269, 1677, 2226, 741, 2534, 543, 2611, 9108, 538, 519, 4639, 5103, 519, 4013, 7333, 267, 519, 4172, 516, 2720, 632, 1630, 529, 1031, 954, 3405, 5846, 607, 513, 1259, 547, 3715, 2123, 1894, 609, 12075, 269, 1879, 7262, 9708, 556, 641, 2989, 538, 519, 22733, 2540, 267, 4013, 1944, 519, 7269, 540, 519, 9663, 4123, 267, 954, 3405, 5846, 1011, 10757, 1765, 24992, 476, 15433, 279, 543, 476, 12293, 276, 267, 17288, 32732, 2600, 540, 6592, 22888, 693, 5760, 559, 574, 871, 514, 659, 267, 519, 1034, 1271, 7262, 2022, 540, 4516, 267, 941, 6404, 22888, 630, 23210, 5443, 609, 589, 1067, 785, 1014, 8276, 18863, 529, 2021, 1916, 763, 7521, 827, 519, 3390, 540, 3765, 576, 2102, 566, 6603, 922, 8445, 950, 519, 12733, 540, 24354, 729, 8547, 693, 519, 4098, 540, 519, 22733, 2540, 269, 898, 10353, 711, 1152, 1079, 2367, 267, 12077, 519, 13653, 540, 24354, 267, 4165, 334, 710, 19681, 6139, 27974, 650, 659, 267, 543, 519, 17294, 2489, 540, 1715, 5333, 267, 10218, 324, 632, 15519, 7596, 632, 966, 7596, 516, 340, 559, 630, 10204, 274, 1700, 15094, 276, 1070, 855, 849, 10353, 1079, 22649, 267, 602, 540, 519, 27867, 543, 602, 540, 519, 22733, 5553, 269, 634, 10661, 540, 24354, 3323, 21354, 607, 1360, 1906, 21152, 8815, 547, 7017, 538, 519, 3148, 269, 19681, 6139, 27974, 650, 659, 1287, 4553, 519, 1383, 540, 16422, 21622, 543, 23647, 519, 5610, 540, 519, 3875, 6805, 9082, 883, 519, 3943, 12733, 269, 4495, 1586, 267, 713, 5610, 1185, 547, 581, 22002, 998, 21939, 267, 799, 729, 538, 2490, 538, 29323, 762, 689, 1071, 4725, 2787, 609, 519, 3943, 269, 18830, 513, 1631, 26617, 3943, 13862, 267, 27974, 650, 659, 849, 11130, 602, 21473, 322, 5314, 729, 519, 1152, 1259, 547, 3540, 1125, 25165, 543, 20441, 873, 538, 513, 3148, 1141, 519, 3943, 4527, 729, 3592, 9039, 343, 11962, 563, 11328, 3405, 5846, 729, 849, 851, 540, 27974, 650, 659, 779, 1788, 540, 4259, 24354, 269, 3943, 5443, 1223, 1152, 19533, 5065, 2021, 945, 941, 10736, 547, 30871, 543, 3943, 18702, 282, 538, 824, 1913, 267, 2021, 945, 1185, 12303, 15849, 23624, 269, 27974, 650, 659, 779, 2856, 540, 3765, 576, 2102, 566, 267, 5812, 609, 519, 3312, 3609, 540, 3943, 8128, 267, 729, 711, 12592, 676, 6284, 543, 10343, 540, 5065, 2528, 855, 2864, 676, 519, 7287, 547, 32135, 621, 543, 12990, 513, 3864, 2486, 269, 2201, 513, 4052, 1377, 267, 27974, 650, 659, 12479, 602, 954, 3405, 5846, 1131, 7794, 24816, 543, 3895, 4708, 563, 2005, 1223, 581, 11130, 602, 585, 27974, 650, 659, 267, 945, 729, 606, 2309, 2065, 812, 267, 3765, 576, 2102, 566, 729, 8806, 519, 20116, 540, 1010, 1788, 269, 1261, 524, 2106, 1227, 1031, 519, 3609, 540, 21473, 322, 5314, 547, 2285, 811, 1379, 547, 1010, 11556, 269, 634, 1788, 729, 1100, 1447, 3978, 267, 2705, 267, 585, 922, 20116, 269, 11569, 267, 524, 2106, 6291, 8761, 519, 6302, 540, 1018, 13054, 513, 16048, 2797, 4661, 269, 22682, 267, 27974, 650, 659, 24565, 602, 519, 3609, 540, 21473, 322, 5314, 1131, 3136, 547, 723, 513, 1747, 538, 3943, 6214, 543, 267, 5330, 5944, 267, 1131, 581, 513, 5837, 3196, 563, 763, 14012, 540, 519, 13149, 779, 16253, 547, 27974, 650, 659, 779, 11556, 729, 2656, 543, 10630, 3395, 10424, 967, 29924, 610, 1256, 771, 26067, 656, 618, 7282, 21473, 322, 5314, 269, 5272, 2460, 540, 519, 1788, 729, 15189, 609, 519, 9868, 540, 954, 3405, 5846, 269, 901, 729, 538, 519, 1439, 519, 1152, 1271, 3390, 538, 513, 3148, 1141, 3943, 5443, 1223, 18923, 1265, 4891, 3544, 519, 6805, 1158, 269, 634, 2259, 540, 2261, 11538, 5065, 2021, 20221, 3288, 3655, 9809, 517, 5918, 17188, 267, 799, 729, 9244, 28715, 676, 7810, 8128, 267, 729, 3592, 519, 2343, 269, 2060, 519, 10770, 3668, 540, 3943, 342, 1580, 538, 24354, 267, 27974, 650, 659, 12212, 1185, 547, 2307, 1010, 14012, 779, 13170, 540, 954, 3405, 17699, 267, 799, 941, 24193, 676, 17135, 4937, 966, 7596, 516, 340, 559, 269, 1548, 20974, 1229, 267, 1287, 267, 729, 1100, 3476, 519, 2243, 540, 3765, 576, 2102, 566, 855, 3274, 519, 13766, 540, 4466, 513, 4807, 585, 1169, 17199, 543, 3936, 2401, 269, 11374, 519, 1689, 538, 891, 8456, 267, 5065, 2021, 1131, 581, 8179, 9003, 585, 741, 4638, 1599, 269, 634, 13862, 4847, 891, 18787, 593, 519, 2783, 602, 968, 527, 1281, 711, 3196, 519, 3943, 5443, 547, 3251, 609, 519, 5260, 1137, 267, 799, 1131, 2014, 513, 2530, 540, 2367, 1496, 514, 29053, 316, 3034, 291, 17827, 547, 1118, 513, 3375, 593, 606, 3390, 865, 11786, 538, 519, 12733, 267, 14199, 540, 3557, 808, 2946, 337, 20110, 1889, 1912, 2946, 569, 701, 14513, 632, 30716, 24577, 1778, 14376, 17135, 966, 7596, 516, 340, 559, 547, 17854, 1010, 29383, 547, 891, 22888, 269, 966, 7596, 516, 340, 559, 1101, 11130, 602, 954, 3405, 5846, 1185, 8507, 538, 519, 5137, 540, 15523, 1851, 519, 3943, 281, 607, 8152, 27512, 941, 7471, 883, 741, 24726, 685, 28334, 267, 789, 941, 8209, 3238, 538, 954, 339, 1026, 531, 21535, 338, 269, 901, 2813, 1079, 2042, 281, 789, 1223, 581, 8486, 1540, 1996, 1142, 824, 543, 789, 1223, 4125, 3943, 8128, 538, 17174, 13882, 269, 2859, 11932, 267, 646, 10645, 602, 912, 3080, 1058, 2760, 544, 17532, 513, 3983, 1973, 609, 513, 1434, 835, 269, 3776, 1995, 538, 713, 2197, 2982, 602, 519, 3943, 945, 9310, 5260, 720, 2021, 723, 1831, 4744, 5193, 267, 7329, 548, 267, 543, 723, 606, 30898, 792, 762, 7115, 269, 1656, 741, 1453, 616, 607, 27823, 607, 519, 5260, 1137, 2933, 269, 901, 1590, 2061, 721, 689, 28498, 971, 22888, 2560, 5272, 1126, 689, 891, 18787, 4667, 547, 2119, 7683, 547, 798, 513, 2603, 540, 2800, 547, 519, 3943, 563, 13295, 519, 12343, 540, 954, 3405, 5846, 729, 711, 1152, 519, 934, 738, 4851, 540, 519, 3943, 23947, 267, 547, 519, 1033, 337, 2939, 540, 1010, 1378, 2528, 267, 855, 849, 519, 2530, 540, 519, 1453, 547, 741, 5065, 3993, 779, 28334, 269, 623, 612, 574, 2065, 543, 1253, 6412, 995, 267, 966, 7596, 516, 340, 559, 10645, 602, 646, 5433, 29383, 689, 519, 15556, 540, 6404, 22888, 4724, 3943, 1004, 269, 2290, 1522, 723, 2219, 602, 966, 7596, 516, 340, 559, 779, 29383, 547, 519, 544, 18863, 529, 729, 1644, 547, 20320, 2042, 11402, 609, 544, 18863, 529, 3401, 269, 594, 723, 1336, 1100, 2963, 267, 2705, 267, 540, 971, 513, 3095, 269, 2201, 519, 14669, 267, 3943, 4971, 619, 4797, 547, 946, 3943, 5443, 9310, 547, 5065, 2021, 543, 741, 1453, 267, 544, 18863, 529, 561, 2946, 326, 527, 1307, 267, 547, 2226, 3943, 3310, 1851, 741, 16167, 543, 547, 5150, 14017, 4724, 2201, 2632, 1470, 267, 519, 3943, 17294, 2489, 269, 4329, 267, 621, 814, 1044, 3254, 602, 1256, 952, 22733, 10601, 8387, 5156, 602, 954, 3405, 5846, 5921, 519, 21939, 540, 519, 4651, 543, 519, 1453, 547, 5065, 2528, 267, 3875, 3885, 941, 7471, 883, 7810, 2486, 563, 27745, 966, 7596, 516, 340, 559, 779, 10792, 18149, 31766, 540, 3765, 576, 2102, 566, 723, 1044, 1644, 547, 3943, 20320, 10781, 693, 519, 4098, 540, 519, 22733, 2540, 286, 10765, 14172, 814, 3254, 602, 519, 3943, 941, 519, 1483, 23602, 540, 519, 4279, 13458, 540, 27292, 540, 476, 10204, 272, 602, 8694, 15823, 1296, 540, 594, 549, 638, 12251, 10617, 269, 24547, 11703, 1967, 1223, 723, 2016, 519, 3943, 811, 6015, 4724, 741, 16167, 282, 621, 1223, 849, 723, 1008, 12097, 818, 5766, 766, 267, 855, 711, 533, 612, 574, 1143, 269, 634, 533, 612, 574, 1143, 966, 7596, 516, 340, 559, 6829, 21256, 689, 513, 3677, 771, 650, 4288, 618, 269, 2334, 519, 544, 18863, 529, 1522, 581, 2808, 547, 581, 519, 12733, 779, 14763, 1449, 1881, 547, 519, 17417, 685, 2686, 14710, 267, 547, 741, 17418, 547, 5486, 656, 5065, 2528, 269, 769, 27867, 10601, 5333, 267, 519, 2262, 544, 18863, 529, 5219, 267, 538, 513, 9011, 1645, 1259, 267, 547, 519, 1453, 945, 941, 4535, 540, 544, 15530, 718, 10662, 630, 332, 529, 718, 10662, 5148, 891, 941, 21376, 22888, 8744, 519, 12962, 540, 606, 17071, 1973, 883, 513, 1434, 22871, 269, 966, 7596, 516, 340, 559, 1287, 6964, 519, 1893, 540, 6211, 2470, 547, 588, 25634, 1125, 519, 2856, 540, 954, 3405, 5846, 281, 519, 11100, 540, 3943, 543, 589, 1067, 785, 1014, 1973, 729, 711, 2635, 585, 519, 12733, 269, 1261, 17246, 1228, 891, 1232, 611, 550, 18787, 538, 1931, 547, 2149, 1010, 1004, 689, 519, 9568, 540, 5837, 13313, 563, 309, 7596, 516, 340, 559, 779, 18149, 31766, 540, 954, 3405, 5846, 1590, 849, 581, 1644, 547, 519, 3943, 5821, 547, 15849, 30968, 589, 1067, 785, 1014, 2021, 945, 941, 4371, 3743, 585, 10962, 3983, 1973, 269, 4634, 950, 789, 9310, 3943, 5443, 267, 789, 8359, 547, 2611, 3046, 8663, 748, 267, 8197, 1256, 5906, 607, 789, 6854, 741, 4638, 5191, 267, 32682, 1027, 741, 8152, 27512, 950, 789, 4941, 547, 267, 543, 4797, 547, 7747, 741, 2757, 2418, 269, 8616, 741, 10343, 540, 3864, 4008, 3631, 729, 519, 32563, 585, 741, 3811, 9769, 609, 3943, 5443, 563, 2005, 1522, 581, 11130, 602, 966, 7596, 516, 340, 559, 779, 1913, 1996, 3765, 576, 2102, 566, 1223, 581, 5116, 883, 519, 840, 1410, 11962, 11407, 540, 5198, 607, 5444, 30688, 267, 855, 2417, 2079, 2982, 602, 646, 729, 1210, 513, 1114, 20748, 1935, 547, 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 ]
[ 6093, 267, 21245, 2534, 269, 2290, 3070, 568, 547, 1711, 513, 5150, 1858, 538, 519, 13452, 1141, 20857, 568, 15868, 563, 2710, 5243, 2479, 32603, 1055, 547, 5884, 888, 2304, 13676, 610, 12955, 3662, 786, 15859, 1947, 12404, 856, 540, 4250, 540, 1373, 2800, 539, 269, 4595, 5243, 616, 26731, 689, 20384, 267, 621, 568, 741, 15859, 547, 25176, 543, 5884, 538, 4708, 610, 547, 12404, 865, 607, 711, 547, 2322, 519, 3640, 538, 8594, 676, 4742, 2192, 610, 23646, 873, 1524, 269, 634, 3640, 3587, 811, 6534, 607, 513, 1267, 563, 1692, 666, 596, 4313, 513, 12955, 2915, 888, 310, 1301, 29198, 267, 6266, 540, 6299, 338, 267, 5140, 1426, 267, 543, 524, 3291, 956, 269, 2290, 3364, 568, 602, 950, 789, 616, 8854, 267, 621, 779, 2556, 547, 6108, 930, 942, 609, 873, 269, 18421, 11214, 635, 325, 2176, 596, 543, 13071, 621, 16173, 538, 269, 1280, 707, 1378, 4324, 267, 621, 779, 1271, 547, 1577, 707, 3659, 917, 875, 1454, 789, 1611, 547, 596, 269, 0, 9209, 543, 2528, 723, 2141, 1044, 3844, 547, 519, 3961, 543, 1686, 540, 519, 5664, 5101, 269, 3245, 519, 10875, 6189, 540, 3504, 9099, 12977, 547, 519, 7524, 4207, 1148, 6429, 540, 2221, 267, 519, 3148, 814, 2141, 1044, 513, 13398, 540, 5876, 543, 5647, 269, 769, 1200, 2376, 968, 9209, 543, 9177, 538, 519, 5664, 5101, 281, 589, 29547, 10060, 892, 3370, 538, 25448, 2622, 5240, 267, 1955, 2033, 589, 3960, 320, 537, 328, 7710, 519, 3638, 543, 3309, 2686, 5251, 540, 519, 5664, 5101, 267, 543, 519, 2081, 538, 799, 621, 568, 9687, 538, 3078, 1007, 8846, 563, 3080, 540, 519, 1034, 1713, 7835, 538, 2487, 1296, 814, 1044, 519, 4473, 540, 4207, 1148, 538, 519, 5664, 5101, 269, 1306, 589, 3960, 320, 537, 328, 4967, 267, 519, 3148, 568, 1753, 547, 513, 7524, 543, 3395, 2146, 540, 5159, 267, 1082, 540, 7247, 616, 6721, 1568, 602, 2992, 519, 2189, 2686, 3961, 543, 1686, 540, 519, 3148, 269, 3245, 7206, 543, 17001, 547, 2773, 1148, 543, 10380, 267, 519, 4207, 1148, 6429, 538, 519, 5664, 5101, 568, 14762, 267, 609, 5159, 689, 2066, 519, 3148, 11543, 3486, 6284, 543, 1035, 8010, 563, 5194, 1271, 1646, 538, 519, 2686, 5251, 540, 519, 5664, 5101, 814, 1044, 519, 3395, 7678, 2509, 2686, 5385, 543, 5698, 269, 1306, 589, 3960, 320, 537, 328, 4967, 267, 519, 3148, 814, 12926, 1044, 10169, 9678, 689, 519, 1964, 540, 519, 1158, 267, 609, 3908, 3255, 585, 2686, 5385, 543, 5188, 269, 1717, 267, 538, 2487, 1296, 267, 972, 814, 1044, 513, 3395, 6284, 540, 519, 2956, 540, 3486, 4296, 267, 609, 811, 543, 811, 5664, 8109, 5159, 543, 2686, 5238, 23712, 609, 741, 13413, 689, 1472, 519, 1158, 563, 24523, 568, 1776, 1271, 2460, 540, 5664, 8109, 2528, 267, 609, 513, 3638, 543, 3309, 2245, 602, 9356, 519, 3148, 779, 2189, 1686, 543, 2686, 7506, 269, 1306, 589, 3960, 320, 537, 328, 4967, 267, 519, 3148, 568, 1753, 547, 513, 2647, 2039, 540, 7574, 6163, 543, 11964, 267, 689, 519, 20807, 532, 23964, 540, 8106, 12428, 2575, 547, 519, 11763, 20054, 540, 2413, 1402, 543, 12048, 5577, 269, 6736, 519, 1082, 1114, 6163, 543, 7506, 267, 2705, 267, 2575, 3788, 513, 3844, 2460, 540, 2686, 3961, 538, 519, 5664, 5101, 267, 609, 1082, 1762, 1004, 1210, 2575, 607, 513, 1259, 547, 2769, 2933, 543, 1921, 609, 1866, 563, 23742, 332, 568, 849, 606, 1271, 851, 540, 519, 2686, 5251, 540, 519, 5664, 5101, 267, 609, 513, 14762, 4670, 2872, 602, 7472, 1568, 602, 2992, 519, 2189, 2686, 3961, 543, 1686, 540, 519, 3148, 269, 1306, 589, 3960, 320, 537, 328, 4967, 267, 1082, 5664, 8109, 32349, 616, 1210, 741, 1148, 607, 513, 1259, 547, 4161, 11475, 543, 20887, 827, 519, 3148, 267, 1247, 849, 3695, 1271, 1514, 543, 2797, 2152, 269, 3245, 519, 8366, 20421, 8874, 540, 22504, 8689, 2806, 21353, 918, 3511, 739, 9564, 547, 519, 7524, 543, 3309, 21576, 540, 5527, 543, 26288, 267, 519, 4670, 2872, 538, 519, 5664, 5101, 568, 1312, 7524, 543, 3309, 563, 293, 5831, 568, 1776, 1271, 2460, 540, 5664, 8109, 2528, 267, 609, 513, 1279, 543, 4241, 1686, 602, 9356, 519, 3148, 779, 2189, 3961, 543, 2686, 7506, 269, 1306, 589, 3960, 320, 537, 328, 4967, 267, 519, 3148, 568, 1753, 547, 513, 3395, 1297, 540, 1762, 9858, 543, 6752, 12478, 602, 616, 1210, 741, 1148, 547, 4161, 11475, 543, 8661, 519, 3148, 779, 3638, 2686, 6561, 269, 3245, 2757, 20955, 543, 30927, 547, 2413, 8265, 18875, 543, 1164, 6752, 267, 519, 6752, 2872, 538, 519, 5664, 5101, 568, 14762, 543, 6385, 9687, 563, 1103, 3932, 267, 519, 2686, 5251, 540, 519, 5664, 5101, 568, 513, 3638, 543, 3309, 13795, 267, 4904, 609, 1148, 543, 2528, 602, 9356, 519, 2189, 1686, 543, 3961, 540, 519, 3148, 269, 3245, 519, 7524, 4207, 1148, 6429, 547, 519, 14762, 2575, 267, 4670, 267, 543, 6752, 6080, 267, 519, 5664, 5101, 568, 513, 13398, 540, 5876, 543, 5647, 267, 26405, 547, 3136, 9687, 543, 9750, 538, 3078, 1007, 8846, 269, 2060, 922, 3638, 543, 3309, 2686, 5389, 267, 543, 513, 3395, 1445, 593, 5698, 543, 5385, 267, 519, 3148, 779, 2686, 5251, 568, 2386, 547, 581, 513, 8375, 5182, 538, 519, 1296, 547, 2097, 269, 0, 4462, 557, 4979, 519, 5295, 540, 11660, 14430, 281, 7629, 636, 3215, 13028, 625, 543, 5917, 3496, 11310, 454, 26199, 14430, 281, 1133, 24286, 519, 31981, 540, 11310, 454, 26199, 4574, 267, 519, 22294, 540, 4081, 1382, 267, 3180, 1369, 741, 3817, 513, 5763, 540, 1702, 543, 8906, 602, 3337, 938, 1620, 540, 519, 1158, 269, 1452, 4574, 616, 519, 1267, 540, 11826, 3621, 14374, 543, 4196, 607, 513, 4105, 1797, 585, 3744, 547, 5968, 741, 4681, 547, 519, 9962, 3621, 2146, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 1158, 540, 3621, 4574, 543, 2263, 741, 4644, 538, 14027, 1702, 563, 4263, 741, 4295, 267, 3621, 4574, 616, 11295, 6054, 602, 1459, 1382, 2090, 5342, 676, 3744, 269, 1358, 1246, 513, 13387, 3898, 602, 2882, 606, 7493, 267, 4367, 267, 12191, 267, 2164, 267, 4901, 267, 543, 3932, 269, 901, 2497, 5849, 9355, 543, 11007, 2066, 1114, 4610, 540, 1353, 267, 7175, 3173, 547, 3927, 5968, 741, 960, 563, 3080, 1883, 2460, 540, 3621, 4574, 568, 9263, 2689, 269, 6969, 8313, 267, 891, 4574, 10929, 513, 9488, 6268, 676, 4966, 538, 519, 2361, 945, 2708, 519, 2298, 543, 14496, 540, 519, 1382, 269, 25398, 2689, 4249, 513, 2629, 1909, 538, 4509, 1164, 4441, 543, 4180, 602, 1152, 7347, 1382, 568, 22412, 730, 269, 898, 2337, 547, 6882, 856, 30096, 2090, 543, 18791, 519, 17258, 540, 3621, 4681, 563, 26199, 4574, 723, 1896, 1271, 3252, 269, 17616, 267, 789, 3565, 547, 519, 19469, 1560, 540, 1702, 1369, 513, 1880, 2361, 269, 3962, 1957, 13976, 2390, 3105, 1382, 610, 6799, 3209, 4030, 602, 4228, 938, 1620, 269, 634, 8313, 1184, 2636, 3173, 547, 2671, 741, 4681, 609, 1866, 945, 666, 1287, 1628, 2390, 610, 4161, 873, 998, 2417, 7634, 563, 13010, 267, 3621, 4574, 6536, 5698, 1851, 3744, 5001, 269, 12824, 1419, 13712, 4143, 2090, 538, 741, 1378, 960, 607, 513, 1259, 547, 11760, 1991, 7418, 543, 3715, 2796, 585, 741, 1382, 2055, 269, 901, 25872, 5932, 513, 7524, 5385, 540, 2093, 543, 8992, 15834, 5698, 563, 26199, 4574, 849, 4196, 607, 4704, 1570, 585, 19174, 267, 1053, 267, 14519, 267, 543, 4648, 5275, 6325, 1344, 538, 1808, 2127, 269, 1358, 1683, 2143, 11673, 540, 16097, 1031, 538, 2090, 267, 3850, 1866, 547, 21613, 6901, 610, 1628, 2390, 4540, 960, 269, 5047, 267, 891, 4574, 1419, 1331, 7515, 267, 11708, 267, 543, 8579, 9382, 602, 11617, 2099, 1239, 267, 1818, 1950, 1344, 811, 3015, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 3621, 4574, 616, 711, 1510, 2591, 269, 634, 1893, 543, 2930, 3822, 1031, 538, 891, 4574, 666, 581, 25254, 585, 1346, 3544, 519, 3621, 2146, 269, 901, 11064, 666, 17225, 519, 23425, 540, 1702, 547, 513, 9962, 5304, 267, 12145, 519, 1761, 1764, 540, 1382, 4681, 563, 2414, 2232, 713, 3390, 267, 3646, 616, 1373, 1500, 547, 3986, 2257, 2792, 269, 12207, 616, 5051, 9415, 547, 2328, 24096, 610, 2442, 2257, 4930, 602, 1253, 650, 1950, 2035, 883, 811, 3015, 1893, 269, 3958, 267, 1930, 1569, 7341, 2832, 547, 1118, 3621, 4574, 11884, 2139, 547, 519, 1857, 267, 8840, 1524, 7496, 543, 5009, 9962, 6278, 609, 3621, 1382, 563, 1103, 3932, 267, 3621, 4574, 1404, 513, 2629, 1909, 538, 14027, 1702, 543, 1620, 2066, 1585, 10459, 269, 1358, 1683, 513, 3760, 585, 3744, 547, 2671, 741, 4681, 267, 6536, 5698, 267, 543, 3565, 547, 519, 19469, 1560, 540, 1702, 269, 1635, 8508, 11413, 543, 10333, 267, 649, 666, 2327, 602, 3621, 4574, 3136, 547, 12260, 519, 11580, 540, 1702, 543, 4324, 2486, 607, 513, 2898, 563, 763, 22436, 540, 11660, 14430, 281, 589, 18043, 6651, 585, 28968, 543, 4841, 454, 268, 1358, 1683, 606, 22265, 2707, 540, 1344, 593, 513, 1641, 267, 20483, 909, 676, 2963, 543, 1382, 563, 268, 1358, 1118, 1950, 3584, 4443, 547, 1174, 267, 607, 789, 616, 2854, 538, 606, 4081, 2511, 609, 2312, 3137, 543, 8847, 563, 268, 1358, 666, 948, 547, 1217, 3664, 1500, 676, 14519, 267, 1870, 3401, 543, 824, 4648, 945, 991, 5730, 1702, 593, 513, 1641, 563, 268, 1358, 2709, 513, 6325, 1259, 547, 3251, 909, 3562, 15082, 609, 519, 5767, 7835, 538, 707, 2361, 540, 1353, 610, 3924, 563, 268, 1358, 1419, 1331, 7840, 585, 2417, 2542, 543, 1382, 799, 666, 581, 1031, 547, 1020, 1007, 2093, 610, 3435, 547, 2042, 538, 519, 2361, 540, 1353, 610, 3924, 563, 268, 11660, 4574, 666, 581, 1031, 607, 513, 4704, 2707, 950, 1603, 3594, 267, 5359, 610, 824, 6054, 602, 2154, 4977, 1344, 689, 6325, 2959, 563, 268, 1635, 4974, 3621, 4574, 596, 666, 2744, 5813, 883, 875, 4966, 1589, 827, 741, 6074, 1888, 1858, 543, 1106, 707, 1378, 8369, 1759, 593, 713, 2963, 2861, 1935, 547, 1966, 6061, 543, 2079, 4586, 268, 634, 946, 540, 3621, 4574, 2337, 1053, 1451, 2565, 3206, 1983, 799, 666, 581, 4294, 2066, 782, 2127, 540, 1353, 267, 960, 543, 1272, 538, 2489, 454, 29936, 543, 7799, 14591, 538, 11660, 14430, 281, 589, 11879, 5811, 454, 268, 1358, 666, 581, 2352, 547, 1174, 585, 1875, 1606, 2133, 1235, 563, 268, 634, 1893, 1031, 568, 1419, 2930, 543, 1950, 563, 268, 634, 1382, 1184, 666, 581, 17890, 543, 7199, 563, 268, 11778, 949, 711, 2141, 581, 6325, 610, 4977, 1813, 547, 6959, 538, 1239, 4015, 610, 2079, 2553, 563, 268, 898, 666, 581, 2352, 547, 21613, 2164, 689, 3621, 4574, 1813, 547, 3668, 540, 6190, 1469, 538, 519, 2409, 3296, 540, 519, 1957, 563, 268, 1703, 568, 513, 1981, 602, 4681, 949, 711, 581, 2489, 14184, 3564, 519, 1808, 3732, 6594, 538, 513, 1957, 267, 3056, 547, 21678, 8753, 827, 513, 9962, 2551, 1895, 610, 7613, 1373, 6594, 563, 268, 22439, 540, 3621, 4574, 949, 723, 642, 6479, 4690, 799, 1223, 3310, 741, 7664, 540, 2164, 543, 8753, 6537, 689, 519, 1382, 5342, 1107, 971, 607, 7616, 2959, 267, 5010, 4690, 267, 2123, 4978, 3092, 454, 5445, 1683, 606, 22265, 2707, 540, 1344, 593, 513, 1641, 267, 20483, 909, 676, 2963, 543, 1382, 563, 26199, 14430, 281, 634, 16958, 540, 15845, 15369, 11310, 454, 1103, 513, 1158, 4904, 609, 1344, 267, 3621, 4574, 1796, 856, 607, 581, 659, 976, 540, 6392, 543, 17258, 269, 1452, 4574, 1683, 606, 17170, 2707, 540, 1344, 593, 513, 1641, 267, 20483, 909, 676, 2963, 543, 11826, 1382, 269, 769, 713, 2376, 267, 649, 2263, 519, 605, 540, 3621, 4574, 607, 22265, 2959, 543, 741, 4644, 538, 5935, 938, 1620, 563, 26199, 4574, 616, 519, 1267, 540, 22111, 1382, 5342, 676, 4966, 538, 741, 9757, 4610, 269, 1358, 1246, 513, 11826, 1184, 602, 3322, 1106, 6819, 1382, 2055, 267, 8888, 6901, 610, 2090, 267, 10655, 1239, 267, 7421, 2164, 267, 543, 5373, 8753, 269, 901, 9836, 1935, 5849, 602, 519, 1344, 4843, 538, 891, 4574, 568, 16135, 538, 4396, 2963, 563, 763, 6392, 540, 3621, 4574, 11710, 689, 519, 9263, 2689, 1184, 789, 10929, 1354, 8313, 269, 20226, 538, 519, 2361, 5402, 6218, 519, 12191, 267, 1239, 2079, 267, 543, 7664, 540, 2164, 547, 2327, 741, 14496, 543, 10727, 269, 901, 2565, 6268, 2337, 547, 6882, 856, 12886, 267, 6959, 267, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 20348, 17582, 3301, 1982, 14077, 269, 901, 27412, 6227, 519, 3693, 531, 2093, 543, 5781, 1031, 5528, 2838, 547, 5818, 3988, 689, 513, 23153, 547, 13591, 1448, 538, 9001, 2910, 15551, 5308, 300, 10056, 563, 293, 9548, 2460, 3244, 2827, 609, 4888, 306, 22076, 4518, 17754, 577, 476, 1321, 568, 513, 8737, 543, 2241, 547, 5660, 23519, 269, 898, 2306, 946, 540, 1900, 676, 1900, 8846, 547, 4217, 22639, 3988, 547, 4324, 13113, 1448, 13502, 269, 26062, 5722, 8320, 616, 1031, 1282, 519, 19545, 269, 6266, 540, 1346, 8320, 616, 1870, 610, 1353, 7341, 519, 5467, 13976, 689, 15072, 563, 288, 12913, 22639, 547, 519, 11768, 543, 11056, 540, 15568, 5007, 1646, 11700, 17007, 19832, 827, 519, 11768, 1935, 585, 16413, 543, 13380, 4291, 338, 267, 713, 8313, 9607, 519, 11768, 543, 11056, 540, 15568, 5007, 4070, 11700, 17007, 585, 513, 1906, 29275, 4070, 5686, 543, 538, 1585, 4070, 17234, 563, 268, 8490, 14716, 16503, 3603, 267, 476, 275, 628, 9990, 454, 268, 634, 19953, 660, 710, 966, 8759, 281, 15339, 3778, 5980, 454, 268, 9255, 1520, 2779, 720, 281, 11930, 10017, 585, 25181, 15339, 454, 268, 25790, 538, 11154, 633, 32492, 10613, 538, 23317, 454, 268, 5071, 543, 4070, 538, 4936, 525, 4302, 6189, 2433, 1101, 4936, 525, 4302, 6189, 543, 519, 8672, 539, 2895, 538, 26990, 1495, 344, 543, 8832, 7977, 454, 268, 8752, 310, 1511, 642, 280, 7956, 1005, 630, 17504, 2264, 10794, 543, 29093, 7732, 994, 21206, 9623, 585, 29772, 476, 1001, 273, 1280, 667, 27186, 454, 1607, 851, 849, 2882, 1018, 949, 3100, 899, 513, 1390, 4308, 540, 2300, 745, 857, 908, 1469, 827, 4259, 909, 513, 1007, 5373, 538, 29772, 269, 1809, 1018, 779, 1256, 811, 2300, 745, 857, 908, 568, 3257, 707, 14764, 960, 27235, 543, 1287, 4743, 607, 952, 29772, 568, 8165, 596, 1169, 1900, 540, 519, 1259, 269, 2060, 513, 2370, 5373, 14764, 960, 2944, 538, 4434, 267, 621, 4465, 1406, 269, 3487, 4083, 281, 2913, 1703, 2142, 20514, 769, 713, 851, 267, 596, 3605, 930, 1898, 2035, 267, 1519, 1843, 3601, 543, 21957, 8856, 2553, 269, 594, 917, 596, 2461, 678, 18288, 685, 547, 1118, 930, 12400, 267, 855, 952, 596, 1810, 1406, 1205, 513, 6023, 593, 713, 8631, 2038, 593, 267, 596, 3580, 581, 2165, 3373, 11821, 950, 596, 2119, 547, 2721, 543, 12575, 3615, 563, 296, 6338, 596, 547, 713, 1007, 1259, 540, 4259, 909, 11282, 1949, 538, 3848, 476, 2641, 269, 769, 2275, 534, 11663, 2070, 1636, 8060, 281, 901, 568, 4440, 1250, 5172, 1007, 4183, 538, 29772, 476, 1001, 273, 269, 594, 4076, 18923, 3323, 1210, 621, 538, 713, 5305, 267, 543, 2907, 594, 6557, 3168, 585, 621, 538, 519, 29772, 476, 1001, 271, 4528, 594, 946, 693, 519, 5604, 1169, 1554, 2443, 543, 267, 540, 1576, 267, 621, 779, 711, 972, 256, 1411, 666, 3274, 4945, 835, 540, 519, 10297, 693, 519, 1283, 268, 3847, 7944, 540, 513, 2070, 1636, 547, 6467, 5784, 610, 3308, 6163, 267, 610, 547, 24327, 1063, 513, 2789, 2070, 1636, 12122, 610, 513, 2582, 2070, 1636, 563, 1607, 1433, 10274, 596, 1472, 519, 27894, 543, 24024, 519, 20015, 2478, 269, 4208, 29772, 286, 29772, 814, 1044, 1472, 513, 1279, 942, 2443, 2094, 476, 2735, 273, 267, 799, 594, 14353, 267, 15210, 3988, 267, 568, 3476, 982, 930, 540, 596, 256, 29772, 721, 22363, 538, 519, 5912, 689, 2731, 7199, 1292, 18134, 543, 1295, 545, 558, 13459, 21957, 1949, 28428, 9937, 540, 5215, 540, 9489, 547, 8806, 10169, 7199, 2890, 26367, 21957, 3292, 28428, 513, 1906, 8536, 9489, 269, 29772, 779, 476, 274, 291, 7207, 723, 6738, 676, 682, 2355, 543, 23451, 936, 519, 2063, 1896, 13847, 267, 543, 476, 274, 291, 9781, 568, 4742, 513, 1455, 1259, 540, 10992, 6272, 1354, 789, 2461, 31751, 563, 8505, 334, 21020, 476, 1001, 273, 1280, 667, 27186, 676, 6424, 1635, 337, 5886, 0, 12850, 14569, 616, 513, 10375, 1259, 547, 3251, 19872, 269, 1358, 2887, 883, 519, 7121, 540, 5068, 610, 4496, 267, 543, 1369, 891, 6688, 267, 972, 616, 1082, 8677, 563, 5522, 2880, 1216, 14569, 1500, 540, 1279, 3856, 946, 616, 1500, 540, 513, 5068, 1572, 4874, 21666, 622, 269, 19402, 5063, 267, 4874, 21666, 622, 814, 8659, 606, 19605, 1634, 607, 645, 7371, 1156, 565, 589, 630, 289, 5183, 1040, 645, 5183, 568, 711, 1031, 15042, 267, 1317, 1631, 568, 2808, 5906, 2687, 547, 3877, 689, 21053, 564, 321, 644, 1326, 2593, 563, 6124, 21187, 616, 1373, 7318, 547, 5372, 645, 5183, 269, 5221, 540, 713, 267, 4496, 1216, 14569, 814, 1831, 5051, 2442, 269, 19045, 1216, 14569, 616, 1500, 540, 16243, 5374, 610, 11956, 563, 12850, 14569, 2097, 538, 12303, 782, 7306, 563, 2467, 616, 1082, 2139, 11480, 11503, 267, 1519, 968, 16647, 25568, 892, 543, 6227, 602, 16212, 1930, 269, 1306, 585, 2823, 1464, 267, 972, 616, 24056, 602, 8936, 547, 513, 30618, 267, 11332, 8520, 610, 12966, 269, 17677, 25963, 616, 849, 2139, 547, 1832, 15559, 3579, 563, 8196, 543, 1416, 454, 3725, 20608, 1216, 14569, 1058, 1152, 581, 1031, 585, 1970, 2837, 610, 4055, 8259, 6382, 9138, 269, 2368, 616, 11547, 762, 267, 543, 1866, 616, 1655, 19345, 676, 1688, 11067, 609, 14298, 4338, 543, 3636, 1216, 269, 0, 5472, 27140, 31421, 7734, 14288, 8191, 19877, 338, 18270, 640, 11042, 5441, 15080, 5441, 10749, 3447, 1807, 540, 519, 5729, 32445, 19877, 338, 6490, 7546, 9608, 15232, 11846, 13488, 1299, 9177, 5472, 25709, 687, 31421, 7351, 15638, 1315, 15348, 26521, 24391, 1315, 15850, 1315, 25003, 30007, 1315, 9919, 30503, 25741, 5113, 11146, 1315, 17716, 20176, 625, 1315, 8535, 1315, 7641, 7377, 9177, 1315, 12367, 3427, 1315, 5441, 4317, 12983, 1315, 595, 643, 923, 20154, 640, 1315, 15215, 11846, 1315, 20122, 9812, 454, 268, 14400, 6651, 454, 268, 5441, 6651, 454, 268, 8191, 19877, 338, 454, 268, 18270, 640, 11042, 454, 268, 5441, 15080, 454, 268, 5441, 10749, 454, 268, 3447, 1807, 540, 519, 5729, 454, 268, 9608, 15232, 454, 268, 13488, 1299, 9177, 454, 268, 7351, 15638, 1315, 15348, 454, 268, 24391, 1315, 15850, 1315, 25003, 454, 268, 30007, 1315, 9919, 30503, 25741, 454, 268, 11146, 1315, 17716, 454, 268, 20176, 625, 1315, 8535, 1315, 7641, 454, 268, 7377, 9177, 1315, 12367, 454, 268, 3427, 1315, 5441, 454, 268, 4317, 12983, 1315, 595, 643, 923, 454, 268, 20154, 640, 1315, 15215, 454, 268, 11846, 1315, 20122, 9812, 454, 268, 7991, 6796, 454, 268, 16707, 547, 519, 15503, 454, 268, 29233, 1299, 2776, 9080, 823, 454, 268, 1548, 25198, 454, 7093, 28124, 24635, 720, 10684, 543, 15850, 2422, 454, 288, 5619, 540, 476, 279, 628, 17603, 2982, 602, 538, 476, 1220, 280, 267, 476, 1691, 269, 276, 260, 1767, 789, 723, 1031, 5061, 269, 769, 454, 1001, 271, 267, 3075, 6057, 538, 476, 279, 628, 17603, 2799, 547, 476, 1626, 260, 630, 10674, 2517, 4178, 6155, 2607, 629, 2224, 10993, 30406, 3336, 270, 1015, 21610, 305, 1321, 268, 1691, 11258, 1040, 10684, 6057, 568, 513, 1034, 1455, 3390, 585, 12322, 269, 634, 1259, 602, 1762, 1004, 616, 1373, 6026, 949, 581, 519, 2014, 540, 713, 2333, 269, 1703, 616, 811, 3811, 2081, 547, 4001, 14038, 827, 5061, 547, 2061, 873, 689, 1210, 269, 1403, 3610, 543, 3237, 798, 711, 1689, 519, 1259, 789, 4001, 741, 1453, 543, 1053, 827, 5061, 267, 519, 2333, 786, 3136, 543, 741, 786, 581, 5906, 5540, 543, 3978, 4539, 563, 7197, 4079, 267, 971, 607, 3610, 543, 3237, 4001, 14038, 968, 9617, 2161, 1100, 6100, 1717, 267, 476, 2568, 260, 540, 5061, 941, 4421, 547, 267, 1031, 2073, 528, 6854, 538, 1153, 538, 476, 1001, 271, 563, 263, 10674, 2517, 4178, 269, 974, 754, 2607, 629, 2224, 907, 639, 270, 10117, 5091, 2607, 318, 2224, 11258, 264, 4746, 267, 930, 3237, 2933, 616, 454, 531, 4022, 923, 610, 6057, 5061, 269, 901, 568, 513, 3983, 3310, 593, 741, 1453, 543, 2306, 519, 1453, 454, 3467, 2693, 547, 946, 269, 3502, 2614, 3237, 2911, 547, 741, 3214, 827, 713, 1641, 2901, 267, 1317, 454, 16269, 1810, 1406, 917, 875, 547, 269, 2368, 10026, 3506, 723, 1044, 3450, 476, 275, 628, 543, 476, 276, 628, 17603, 454, 12671, 5061, 607, 1134, 269, 1403, 519, 1453, 723, 711, 2907, 1044, 5483, 267, 18295, 1296, 568, 950, 454, 15161, 1058, 581, 6026, 827, 5061, 543, 4568, 1317, 602, 568, 519, 942, 1974, 538, 741, 454, 331, 1161, 950, 789, 1205, 519, 1034, 9263, 2604, 547, 946, 5061, 543, 1101, 1205, 5189, 547, 873, 563, 9827, 267, 3075, 543, 4568, 946, 666, 1291, 547, 5208, 267, 6760, 267, 647, 15969, 267, 11174, 32592, 1890, 2676, 874, 9713, 6057, 267, 16028, 267, 14382, 3191, 267, 6710, 267, 543, 26683, 263, 1692, 1677, 17166, 3143, 676, 454, 309, 597, 6265, 807, 1488, 976, 517, 267, 2985, 476, 7367, 1040, 24635, 6162, 616, 711, 6026, 875, 547, 4308, 609, 4965, 543, 454, 24175, 8336, 16310, 5061, 543, 22536, 3151, 269, 1703, 1590, 581, 811, 28146, 2081, 547, 2061, 3075, 454, 2224, 1851, 1762, 12322, 563, 27736, 945, 1451, 827, 519, 5061, 689, 741, 3237, 616, 476, 2004, 260, 1447, 2693, 547, 946, 563, 263, 10674, 2517, 4178, 269, 2316, 300, 4953, 5588, 3201, 298, 3820, 270, 264, 32695, 547, 707, 1453, 827, 5061, 543, 4568, 666, 454, 560, 21880, 6533, 519, 1920, 676, 1818, 519, 1453, 1745, 899, 789, 666, 2911, 547, 741, 3237, 827, 454, 1278, 2152, 607, 1134, 269, 4746, 267, 3610, 543, 3237, 1058, 2285, 12322, 24500, 602, 2339, 547, 454, 29442, 610, 1860, 741, 2123, 1272, 267, 547, 711, 946, 5061, 269, 2368, 12322, 946, 1256, 1498, 789, 917, 454, 26132, 1072, 15828, 1161, 616, 693, 1981, 269, 769, 713, 2013, 3755, 991, 547, 8275, 602, 1945, 1271, 547, 454, 29442, 568, 538, 28855, 344, 269, 1280, 1383, 267, 952, 513, 3075, 610, 4568, 3593, 6487, 602, 513, 3407, 454, 30447, 1222, 547, 873, 568, 1373, 12219, 267, 621, 949, 2014, 873, 547, 16718, 269, 15789, 538, 3506, 454, 7945, 607, 12532, 268, 763, 6874, 1779, 543, 1072, 1362, 1058, 960, 593, 741, 3450, 2994, 827, 454, 323, 2607, 338, 267, 952, 621, 568, 711, 2907, 2500, 2429, 519, 1153, 269, 898, 568, 1271, 585, 891, 454, 2889, 31810, 547, 581, 2500, 267, 538, 2013, 3237, 3136, 711, 547, 2911, 547, 1453, 827, 3075, 543, 454, 1103, 519, 1433, 1215, 1677, 17166, 3143, 676, 9098, 1488, 976, 517, 267, 930, 2081, 602, 14038, 616, 454, 14445, 730, 827, 5061, 543, 4568, 616, 5693, 3254, 269, 769, 519, 3184, 968, 310, 904, 1677, 17166, 3143, 892, 2676, 1492, 1433, 3947, 1806, 540, 824, 2635, 2081, 547, 1205, 513, 968, 15710, 874, 7595, 19060, 6100, 630, 1692, 1677, 17166, 3143, 454, 2421, 9098, 1488, 976, 517, 267, 3817, 476, 4649, 268, 6321, 1040, 1452, 10372, 1331, 968, 6420, 532, 538, 2648, 267, 2324, 454, 517, 513, 5172, 1788, 267, 6947, 547, 513, 4190, 4062, 540, 2575, 267, 543, 32467, 892, 263, 309, 597, 6265, 807, 454, 288, 6425, 517, 267, 2985, 476, 6321, 1040, 4107, 540, 891, 616, 4440, 711, 3226, 1271, 547, 1034, 12322, 269, 898, 454, 10193, 2829, 602, 968, 7424, 3222, 540, 1018, 5061, 798, 547, 596, 2306, 621, 4443, 547, 5706, 892, 263, 309, 597, 6265, 807, 454, 288, 6425, 517, 2073, 2457, 476, 7918, 264, 2073, 8117, 519, 5354, 540, 12322, 798, 917, 267, 2943, 930, 1869, 946, 269, 634, 3184, 849, 6645, 519, 5467, 602, 1210, 1175, 2899, 666, 1439, 707, 1272, 263, 309, 597, 6265, 807, 1488, 976, 517, 267, 8525, 476, 5325, 1040, 901, 568, 454, 25152, 267, 2705, 1034, 12322, 1745, 602, 519, 8458, 540, 602, 616, 865, 28489, 267, 621, 786, 2760, 4755, 454, 763, 5354, 540, 12322, 798, 711, 946, 5061, 543, 4568, 269, 1717, 267, 7194, 1397, 606, 454, 27463, 848, 538, 7141, 946, 540, 1978, 5061, 2429, 519, 1296, 269, 634, 3755, 616, 849, 3478, 711, 454, 21671, 7820, 267, 855, 616, 1210, 811, 4749, 269, 634, 2601, 585, 713, 31029, 2333, 568, 454, 2254, 1152, 519, 1259, 14038, 616, 1373, 6026, 827, 5061, 543, 4568, 267, 855, 14038, 945, 454, 4777, 946, 5061, 543, 4568, 2909, 326, 547, 741, 9905, 827, 741, 1210, 269, 3973, 267, 741, 9905, 1745, 607, 952, 454, 1492, 5354, 540, 14038, 616, 1210, 2073, 543, 1745, 2604, 547, 3514, 538, 269, 1403, 649, 1810, 1406, 2285, 891, 12322, 454, 1492, 5013, 540, 945, 2965, 568, 1210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2344, 1317, 972, 616, 824, 5100, 6049, 3549, 267, 585, 1383, 267, 11197, 267, 3353, 334, 267, 9437, 267, 715, 758, 807, 543, 1325, 13906, 601, 269, 1717, 267, 28932, 2426, 814, 1044, 811, 5499, 3976, 814, 6591, 513, 8013, 5413, 936, 891, 824, 3549, 1317, 621, 814, 7307, 547, 16174, 922, 2472, 689, 824, 15180, 2472, 269, 28932, 2426, 7577, 814, 16292, 17346, 538, 1082, 6753, 538, 519, 1158, 269, 634, 2101, 6753, 616, 3624, 267, 14135, 267, 3567, 543, 3127, 269, 634, 1034, 11327, 540, 782, 891, 10909, 568, 4092, 538, 3624, 269, 3624, 814, 519, 4102, 2551, 538, 519, 1158, 602, 7727, 10464, 11668, 547, 519, 28932, 2426, 6109, 538, 3624, 269, 634, 2551, 568, 849, 1134, 9280, 609, 519, 5767, 5663, 2029, 602, 5849, 2326, 616, 711, 24906, 269, 769, 1840, 267, 3624, 814, 782, 519, 6886, 602, 616, 2838, 547, 5478, 519, 1896, 2694, 540, 713, 6049, 269, 2353, 891, 10464, 9388, 2322, 15223, 20444, 2426, 693, 513, 8013, 5413, 269, 769, 1840, 267, 3624, 21593, 10464, 5122, 1648, 689, 5755, 543, 6046, 1379, 269, 901, 4999, 540, 10464, 16841, 338, 2306, 519, 3803, 1587, 10464, 3379, 547, 1346, 540, 519, 15180, 3549, 630, 31413, 267, 476, 2735, 271, 1040, 28932, 2426, 30982, 590, 275, 666, 849, 581, 1767, 547, 581, 538, 513, 8013, 2344, 1317, 621, 1995, 6735, 689, 824, 5907, 3549, 602, 3132, 2792, 19269, 269, 1280, 1383, 267, 3549, 602, 5478, 24195, 616, 538, 6735, 1317, 789, 782, 1569, 4950, 543, 1031, 547, 3035, 824, 2792, 5301, 630, 307, 1342, 267, 476, 1960, 278, 1040, 634, 6049, 568, 849, 538, 6735, 609, 21236, 267, 19503, 617, 543, 16979, 3549, 267, 3976, 621, 568, 7680, 3020, 6735, 269, 4432, 2880, 640, 540, 28932, 2426, 30982, 590, 275, 28932, 2426, 30982, 590, 275, 568, 513, 2027, 1587, 1317, 922, 3747, 14380, 5103, 519, 1164, 3902, 269, 634, 5100, 6049, 568, 11751, 267, 2523, 267, 676, 1346, 609, 1164, 25551, 26038, 269, 1717, 267, 621, 568, 849, 11751, 607, 513, 1587, 547, 1397, 1055, 2523, 676, 1004, 945, 798, 711, 723, 2614, 25551, 4747, 269, 634, 1587, 729, 1500, 609, 3077, 6075, 1373, 519, 1134, 1055, 538, 2486, 855, 1082, 723, 9715, 621, 1317, 540, 922, 11684, 2470, 630, 31413, 267, 476, 2735, 271, 1040, 634, 1587, 267, 4061, 267, 2833, 2347, 13412, 2186, 540, 3747, 269, 4432, 2880, 2186, 540, 3747, 814, 1360, 2370, 610, 1100, 1198, 593, 267, 2523, 3902, 540, 12743, 3753, 971, 607, 28932, 2426, 14925, 590, 275, 269, 4475, 267, 519, 3902, 540, 519, 6049, 7283, 3586, 5103, 6735, 689, 11197, 267, 715, 758, 807, 543, 9437, 269, 16572, 540, 3761, 543, 3747, 723, 7133, 2504, 543, 14499, 540, 28932, 2426, 30982, 0, 8601, 1818, 3356, 593, 2916, 4220, 267, 519, 3114, 2872, 568, 17528, 547, 2743, 519, 3853, 13890, 676, 519, 8303, 15716, 267, 3081, 513, 1007, 1867, 676, 7131, 303, 563, 29272, 3315, 560, 585, 7827, 9382, 476, 2420, 540, 519, 4102, 2518, 3114, 3549, 609, 513, 2698, 2344, 3854, 1436, 540, 1269, 20981, 5479, 267, 3743, 585, 513, 10116, 540, 782, 5434, 540, 519, 5823, 693, 476, 28510, 2929, 11973, 9748, 540, 2910, 273, 5434, 829, 1032, 267, 1519, 13019, 15605, 301, 984, 601, 267, 13660, 303, 2632, 267, 32577, 293, 543, 634, 22337, 11906, 7577, 269, 634, 1867, 8761, 4028, 1184, 10124, 786, 581, 2838, 538, 1931, 585, 3114, 3549, 547, 723, 1022, 4960, 540, 26936, 609, 519, 2630, 476, 273, 24266, 3804, 1305, 856, 676, 519, 8303, 6876, 563, 763, 3114, 5823, 568, 3743, 585, 606, 21632, 540, 2518, 4853, 2910, 273, 5434, 543, 4249, 513, 1883, 1909, 538, 519, 1158, 4346, 267, 609, 476, 4817, 2600, 540, 782, 14475, 2472, 13461, 593, 6464, 269, 6736, 519, 2872, 779, 2702, 547, 3048, 622, 593, 1970, 3327, 267, 621, 786, 6560, 547, 4628, 1232, 12365, 1125, 952, 621, 3085, 1406, 1118, 4028, 543, 1713, 2242, 547, 922, 1378, 3810, 3542, 5024, 3157, 563, 7374, 303, 779, 1867, 1281, 267, 2705, 267, 1397, 602, 519, 5823, 568, 1869, 3246, 2916, 1689, 3435, 593, 519, 1587, 2427, 543, 568, 1527, 1746, 689, 519, 1970, 3327, 5912, 267, 609, 1472, 476, 736, 2600, 540, 19614, 585, 713, 1895, 4947, 689, 891, 2472, 267, 8204, 2673, 547, 1269, 10695, 5479, 538, 19614, 269, 18776, 568, 849, 1373, 1500, 538, 741, 5434, 543, 1648, 4398, 267, 609, 9283, 540, 1079, 547, 2947, 2600, 1373, 1500, 1032, 6823, 4458, 563, 4692, 649, 3035, 5068, 29591, 888, 9596, 811, 689, 13431, 293, 267, 2817, 22127, 267, 4406, 583, 639, 543, 811, 593, 3646, 547, 556, 20459, 519, 15229, 1871, 5832, 543, 11441, 585, 5068, 29591, 2443, 693, 590, 289, 262, 736, 7043, 16047, 563, 2108, 2026, 1312, 513, 1804, 1648, 3593, 3294, 543, 513, 2629, 851, 540, 824, 4853, 3761, 11800, 267, 519, 6464, 2872, 568, 606, 1271, 267, 855, 1419, 15763, 267, 5823, 950, 621, 2501, 547, 2825, 1764, 269, 4653, 779, 2079, 2982, 621, 779, 3001, 538, 519, 1318, 4287, 2066, 1896, 2916, 14573, 609, 8716, 4191, 593, 5993, 5434, 543, 681, 22936, 267, 855, 621, 2115, 547, 979, 2417, 543, 5488, 547, 1902, 538, 519, 4066, 602, 786, 5838, 4398, 543, 5434, 9283, 2223, 1767, 6754, 3244, 12121, 267, 16628, 540, 7131, 303, 563, 2108, 27407, 267, 621, 2115, 547, 1305, 543, 3035, 811, 16529, 2825, 9072, 547, 3914, 513, 512, 6235, 1448, 602, 1312, 10776, 8240, 3356, 2509, 519, 8303, 15716, 3853, 543, 2047, 10607, 519, 5377, 1899, 3034, 22025, 1113, 4220, 585, 519, 5823, 1331, 19514, 9431, 4220, 267, 533, 2056, 7939, 538, 3624, 543, 513, 865, 10777, 2048, 323, 19342, 4090, 19028, 1103, 2474, 540, 19514, 9431, 4220, 267, 3549, 971, 607, 13019, 15605, 301, 984, 601, 543, 32577, 293, 3068, 27162, 615, 6042, 689, 3084, 3327, 12998, 11912, 543, 5732, 2362, 3854, 18820, 607, 513, 1267, 563, 24336, 3549, 13822, 476, 2412, 2600, 540, 2518, 3114, 6455, 267, 855, 1082, 616, 1100, 4867, 12607, 3151, 2825, 1239, 269, 1717, 267, 2462, 2242, 593, 519, 16880, 267, 971, 607, 519, 10131, 540, 519, 4457, 2506, 3827, 29665, 3590, 693, 519, 1439, 540, 476, 1001, 278, 267, 1223, 7519, 519, 9962, 2872, 607, 811, 4457, 1759, 3549, 1831, 14931, 563, 5522, 2880, 11183, 568, 513, 1883, 3977, 540, 519, 6464, 2872, 267, 8051, 585, 936, 513, 10116, 540, 2518, 15229, 6165, 267, 2705, 267, 5176, 5216, 2929, 11973, 9748, 540, 3653, 7475, 909, 3542, 5024, 12084, 1142, 1032, 269, 2961, 9755, 2066, 519, 8608, 616, 5051, 6849, 9431, 1394, 31988, 607, 519, 3095, 1063, 17088, 543, 4049, 2011, 5533, 3587, 2479, 811, 2312, 269, 5381, 2962, 1223, 581, 3144, 1996, 3114, 3549, 1317, 540, 741, 6402, 547, 5068, 11183, 563, 10527, 3114, 5823, 779, 1713, 3327, 11640, 1797, 621, 568, 711, 1175, 1164, 12520, 1562, 899, 4620, 10635, 8707, 338, 602, 616, 6534, 547, 519, 5222, 540, 519, 1970, 3327, 5912, 855, 519, 5823, 607, 513, 2898, 269, 3776, 1382, 8711, 513, 7839, 3668, 540, 11413, 543, 3908, 23930, 593, 875, 3157, 538, 1880, 616, 1373, 4824, 269, 2859, 11413, 543, 15889, 19647, 547, 1970, 3327, 7341, 786, 581, 1883, 547, 2708, 945, 519, 2104, 2872, 3401, 786, 581, 2223, 1767, 2961, 1961, 674, 31867, 517, 267, 10361, 540, 7767, 528, 3194, 693, 7131, 303, 563, 22154, 1032, 267, 13019, 15605, 301, 984, 601, 6763, 856, 538, 519, 2872, 998, 922, 7029, 547, 1232, 12365, 1436, 7341, 543, 607, 835, 540, 1152, 1079, 540, 519, 12290, 3549, 609, 513, 2257, 2861, 3077, 269, 1717, 267, 1279, 3856, 9520, 786, 5051, 1413, 585, 782, 3114, 3549, 547, 4188, 741, 1870, 2994, 538, 1899, 609, 811, 16529, 5434, 5786, 9072, 543, 513, 4473, 538, 3327, 14499, 14565, 11451, 1848, 0, 16631, 538, 4168, 21887, 269, 30521, 6248, 25441, 269, 589, 4168, 21887, 269, 23011, 595, 269, 15261, 839, 814, 513, 12854, 538, 8212, 267, 609, 513, 5634, 538, 30578, 269, 3571, 12854, 5098, 729, 593, 24236, 12753, 538, 14368, 2572, 267, 1519, 2627, 4598, 6580, 563, 308, 3757, 1756, 1765, 548, 611, 6580, 2073, 28484, 772, 1765, 303, 321, 6580, 2073, 568, 835, 540, 519, 9510, 476, 543, 1034, 15568, 540, 519, 32619, 6580, 14565, 269, 898, 666, 581, 1031, 547, 4266, 7725, 602, 4646, 543, 16358, 2213, 689, 827, 476, 272, 2929, 1296, 547, 936, 476, 275, 269, 634, 1505, 568, 2356, 4294, 547, 1990, 597, 935, 269, 901, 7777, 16621, 20879, 543, 5247, 1756, 8444, 883, 922, 12627, 2497, 2073, 855, 9244, 7947, 338, 1291, 950, 8108, 269, 1306, 513, 1267, 267, 9241, 268, 11526, 1990, 597, 935, 12074, 786, 2270, 1100, 1291, 267, 2495, 602, 1022, 1291, 1336, 538, 519, 7777, 568, 10237, 8328, 269, 4595, 519, 3169, 2557, 693, 799, 20879, 1232, 904, 883, 1291, 568, 1634, 267, 519, 1699, 5223, 540, 1291, 547, 20879, 538, 513, 3732, 540, 519, 7777, 666, 581, 1031, 547, 28761, 3313, 922, 2085, 269, 634, 1505, 12346, 593, 1079, 5094, 9178, 11800, 2073, 519, 20879, 3126, 689, 772, 547, 623, 321, 267, 609, 513, 3368, 3734, 540, 476, 275, 563, 305, 14508, 6248, 25441, 281, 10613, 267, 21964, 1299, 519, 19043, 540, 21009, 21509, 454, 22832, 670, 583, 2023, 2073, 513, 13677, 2520, 6048, 267, 4294, 519, 6240, 540, 7833, 23540, 547, 6430, 602, 519, 3618, 729, 1454, 4587, 982, 1010, 29629, 2456, 10924, 269, 670, 583, 2023, 17695, 1242, 602, 519, 3618, 729, 7654, 1412, 338, 540, 5215, 540, 1296, 2025, 267, 2864, 982, 513, 1906, 8536, 1296, 2025, 269, 4634, 1498, 519, 3618, 568, 1454, 4587, 982, 1256, 670, 583, 2023, 10567, 267, 646, 729, 9097, 585, 1010, 942, 563, 305, 14508, 6248, 6580, 2073, 14599, 6580, 610, 5925, 529, 582, 2100, 6580, 568, 513, 4480, 799, 568, 1031, 547, 4266, 2326, 971, 607, 7725, 610, 3327, 2073, 538, 799, 10250, 14599, 23606, 941, 28729, 11368, 950, 789, 941, 4646, 269, 634, 1505, 19776, 519, 11606, 540, 513, 6923, 9648, 14599, 24236, 1369, 519, 1570, 547, 519, 11606, 540, 922, 9178, 2472, 267, 799, 1106, 693, 513, 1634, 3586, 2557, 540, 9178, 269, 8625, 609, 14404, 15572, 545, 3741, 2073, 32619, 6580, 2409, 616, 1031, 538, 2520, 5255, 1258, 1108, 547, 3715, 519, 27230, 942, 4336, 269, 1635, 3850, 519, 10661, 540, 17027, 2053, 322, 2297, 267, 621, 2488, 513, 1713, 2707, 540, 1344, 827, 519, 6502, 540, 15455, 543, 519, 17429, 1027, 3928, 540, 12105, 1689, 269, 30521, 6248, 6580, 568, 849, 1031, 547, 4266, 15456, 2326, 267, 1519, 3504, 13742, 269, 0, 293, 545, 4926, 666, 1318, 569, 581, 6444, 607, 519, 1034, 3504, 2371, 269, 2290, 1826, 540, 713, 8768, 568, 1256, 4330, 538, 519, 6426, 269, 898, 729, 1010, 3762, 602, 14088, 543, 18832, 554, 573, 741, 21736, 1145, 269, 634, 3504, 23577, 338, 267, 676, 4334, 267, 5701, 519, 535, 16307, 11874, 269, 1358, 5156, 602, 519, 2030, 8309, 547, 519, 575, 1601, 760, 827, 922, 8227, 269, 634, 535, 16307, 729, 2808, 513, 8768, 267, 10451, 29170, 14843, 269, 7073, 25210, 1294, 1152, 1434, 538, 535, 16307, 563, 3674, 621, 2009, 547, 1832, 513, 535, 16307, 693, 1753, 888, 293, 16307, 910, 513, 3730, 11255, 2030, 269, 6145, 1022, 824, 1753, 8768, 267, 621, 18274, 519, 2011, 269, 1656, 519, 3310, 540, 535, 16307, 11498, 711, 1152, 547, 5739, 7135, 267, 971, 607, 22904, 2940, 543, 6101, 24957, 267, 855, 849, 547, 4551, 269, 634, 1543, 540, 519, 8545, 538, 519, 4055, 1813, 547, 519, 4527, 540, 519, 535, 16307, 568, 4389, 676, 811, 982, 476, 2412, 2600, 563, 1103, 930, 2477, 267, 535, 16307, 568, 8362, 1031, 547, 1521, 1082, 3676, 269, 898, 666, 948, 609, 2021, 781, 2042, 910, 15958, 14527, 543, 513, 22480, 10510, 540, 519, 19786, 269, 634, 8768, 568, 1031, 547, 1118, 1102, 16272, 543, 1232, 334, 2388, 269, 674, 16307, 568, 1031, 538, 16415, 543, 32583, 269, 634, 3762, 14974, 1524, 543, 1118, 873, 14771, 525, 563, 21841, 560, 25875, 1004, 616, 1034, 2693, 5461, 538, 519, 2243, 281, 568, 621, 2009, 547, 1832, 513, 535, 16307, 693, 1753, 286, 901, 2030, 568, 2808, 711, 1152, 513, 3771, 321, 5424, 540, 8788, 269, 769, 1082, 4529, 267, 621, 23327, 7326, 269, 12344, 602, 568, 1946, 922, 3762, 616, 1031, 547, 1711, 1651, 1619, 602, 568, 14616, 1282, 9066, 563, 6097, 547, 25072, 320, 267, 535, 16307, 568, 3274, 2556, 538, 513, 10821, 1858, 907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1808, 5945, 2404, 609, 519, 1376, 540, 2589, 267, 543, 596, 1522, 1152, 5431, 1945, 568, 4636, 950, 707, 8912, 2238, 1831, 4101, 1813, 547, 1928, 610, 8467, 563, 1432, 15486, 570, 12447, 4432, 11312, 286, 4197, 519, 23317, 454, 763, 3597, 2014, 540, 17281, 23969, 568, 16625, 610, 7050, 8833, 593, 519, 28844, 538, 519, 2062, 1301, 267, 3056, 547, 17229, 538, 519, 5160, 269, 901, 8833, 1522, 3100, 24735, 267, 855, 621, 666, 18645, 267, 2523, 538, 2238, 1141, 596, 8831, 707, 6186, 543, 804, 26067, 707, 31329, 563, 2691, 596, 17945, 1945, 609, 707, 1688, 267, 596, 4497, 519, 6091, 540, 707, 2062, 1301, 269, 1452, 6091, 1921, 547, 707, 23969, 998, 28844, 267, 799, 616, 9157, 13164, 540, 5160, 2966, 547, 16641, 8082, 269, 1717, 267, 950, 891, 6091, 543, 28844, 616, 936, 1740, 539, 267, 789, 666, 1020, 1507, 17229, 563, 763, 1560, 6923, 4384, 919, 513, 7067, 1184, 267, 855, 31934, 8833, 543, 3441, 2443, 689, 711, 4758, 519, 23969, 6190, 942, 547, 9156, 2443, 666, 1291, 547, 6553, 543, 513, 2783, 602, 568, 811, 11213, 543, 9434, 982, 6093, 4887, 15319, 1145, 563, 1692, 568, 570, 12447, 4432, 11312, 13958, 2216, 888, 2252, 596, 14353, 596, 723, 17281, 23969, 267, 621, 781, 2629, 547, 1294, 513, 3782, 3318, 269, 1358, 786, 2693, 1376, 609, 513, 2168, 6514, 267, 10992, 585, 1928, 538, 519, 1858, 1472, 519, 3544, 540, 707, 23969, 269, 634, 6514, 949, 1331, 4255, 540, 707, 17945, 4222, 543, 1928, 3361, 676, 1808, 5322, 563, 1103, 930, 2665, 267, 952, 519, 5868, 3884, 1405, 2312, 267, 707, 4387, 1522, 4363, 2417, 4255, 971, 607, 606, 18909, 610, 16953, 269, 1452, 9196, 4255, 666, 1397, 707, 4387, 811, 3877, 827, 519, 28844, 538, 707, 23969, 267, 3850, 873, 547, 4341, 856, 824, 3123, 540, 23969, 1928, 563, 31572, 543, 6164, 532, 570, 12447, 4432, 11312, 281, 1548, 616, 2659, 18169, 888, 21675, 585, 17281, 23969, 6212, 5097, 593, 17212, 1324, 1928, 543, 4227, 6553, 269, 3371, 616, 930, 1455, 2409, 912, 268, 10163, 543, 8056, 984, 16478, 281, 29179, 707, 6186, 1697, 1964, 568, 2629, 269, 3680, 5322, 602, 9594, 519, 1928, 610, 946, 513, 25231, 610, 10943, 842, 547, 1832, 707, 2062, 1301, 1869, 563, 268, 10979, 543, 14333, 13335, 281, 10979, 24502, 666, 581, 1031, 547, 2569, 6553, 543, 15381, 519, 1928, 5594, 267, 2523, 538, 519, 1101, 1906, 4374, 1739, 519, 12614, 540, 1928, 269, 2991, 519, 3355, 6553, 814, 8854, 1524, 267, 3002, 21181, 666, 948, 6001, 519, 6091, 543, 2087, 1973, 2095, 563, 268, 5709, 725, 281, 3683, 7308, 23716, 1928, 17212, 951, 899, 29469, 610, 16481, 1575, 19745, 523, 666, 2569, 1928, 543, 6553, 269, 1717, 267, 621, 781, 1271, 547, 946, 891, 607, 851, 540, 513, 6626, 2126, 4640, 543, 896, 5583, 689, 513, 3782, 3318, 563, 268, 8447, 10657, 281, 16930, 5751, 666, 948, 269, 1358, 1445, 593, 15198, 543, 14304, 519, 2062, 1301, 6091, 267, 5355, 519, 28844, 262, 6043, 267, 543, 5009, 7067, 269, 589, 2168, 13309, 1522, 849, 6338, 2553, 899, 18552, 267, 16953, 3797, 267, 610, 4887, 3613, 574, 6819, 2553, 563, 268, 28238, 1355, 769, 915, 687, 281, 1280, 811, 4049, 2665, 267, 7189, 1522, 4363, 7630, 532, 28335, 899, 9729, 529, 821, 883, 519, 11213, 1858, 269, 28238, 6950, 616, 14984, 4550, 13611, 5061, 267, 855, 789, 2097, 609, 741, 1378, 1305, 540, 4220, 267, 865, 621, 781, 1898, 547, 1865, 891, 8499, 609, 707, 4387, 563, 268, 17889, 281, 769, 2665, 1141, 519, 2589, 616, 4049, 543, 1875, 1606, 17790, 5574, 10093, 1405, 5280, 267, 513, 10551, 5650, 547, 4894, 8697, 5160, 949, 581, 2556, 269, 901, 4781, 568, 5266, 4686, 543, 3335, 11603, 585, 519, 1034, 10770, 2665, 563, 268, 20010, 26935, 625, 281, 2368, 2043, 723, 1336, 8323, 998, 4244, 11257, 899, 22591, 610, 8710, 24859, 3797, 267, 799, 6663, 547, 12954, 519, 1560, 779, 2067, 7067, 3157, 563, 8855, 267, 519, 7145, 540, 2126, 9775, 689, 1268, 547, 1268, 269, 898, 781, 1271, 547, 960, 609, 513, 3782, 3318, 547, 1265, 513, 2126, 1544, 3358, 547, 707, 3510, 563, 6124, 18169, 11846, 7840, 585, 570, 12447, 4432, 11312, 4858, 806, 454, 7093, 28124, 570, 12447, 4432, 11312, 281, 17778, 27870, 513, 2657, 1512, 8892, 454, 7093, 3685, 568, 1732, 982, 10826, 267, 543, 972, 616, 14942, 3268, 596, 666, 1491, 547, 2149, 3054, 689, 17281, 23969, 610, 2061, 922, 24088, 912, 268, 8210, 12455, 15299, 568, 6206, 281, 9796, 3007, 547, 707, 5322, 1282, 2238, 267, 4180, 596, 2811, 1210, 1697, 1106, 543, 4480, 269, 901, 6240, 10039, 2436, 596, 2811, 4730, 513, 7328, 267, 2502, 538, 8261, 4074, 267, 610, 9361, 693, 513, 11380, 17511, 563, 268, 16237, 6533, 543, 853, 4958, 577, 281, 17115, 2502, 538, 5751, 602, 7794, 707, 6186, 267, 13105, 267, 543, 5580, 1394, 6091, 666, 948, 1491, 519, 8833, 1055, 707, 28844, 269, 3958, 267, 1810, 1406, 30391, 519, 1379, 540, 15198, 282, 5329, 707, 6091, 543, 28844, 1139, 548, 666, 3648, 2569, 519, 1981, 540, 6263, 17229, 563, 268, 6875, 8617, 6601, 6545, 281, 1403, 707, 960, 610, 15908, 3322, 16625, 6186, 5322, 267, 581, 2386, 547, 8430, 2834, 9397, 547, 1964, 707, 6091, 543, 28844, 563, 268, 2422, 519, 9406, 16811, 281, 3550, 519, 2645, 610, 23242, 3937, 596, 946, 616, 5078, 585, 707, 2702, 267, 1560, 2450, 267, 543, 4222, 269, 1280, 3236, 267, 538, 17281, 267, 8322, 638, 1115, 609, 8465, 14788, 338, 666, 2569, 519, 2566, 593, 707, 2062, 1301, 563, 268, 19415, 547, 2659, 10610, 281, 5213, 1406, 11716, 519, 2038, 4191, 540, 9636, 269, 10266, 568, 513, 5365, 602, 1945, 568, 4636, 269, 18601, 2589, 2038, 666, 2061, 513, 5634, 3390, 689, 4742, 513, 27676, 835, 563, 6962, 281, 25085, 23126, 3414, 11310, 543, 11059, 454, 307, 12447, 23969, 568, 513, 7839, 855, 4749, 524, 9092, 2783, 269, 1411, 3513, 581, 538, 513, 1732, 2990, 547, 5968, 609, 2564, 4648, 952, 596, 917, 1018, 621, 568, 267, 666, 2697, 519, 2589, 267, 543, 616, 3222, 540, 707, 3681, 585, 2126, 269, 15332, 602, 267, 2921, 14942, 3268, 538, 1582, 13282, 543, 6604, 666, 948, 547, 2327, 602, 707, 23969, 13978, 1928, 6954, 865, 596, 666, 4163, 593, 609, 707, 3232, 2238, 1510, 954, 8306, 563, 4415, 519, 3617, 1344, 543, 6351, 267, 596, 1932, 666, 9156, 543, 16056, 707, 3339, 2238, 1928, 6954, 269, 5213, 1405, 1577, 17281, 23969, 3180, 596, 1394, 267, 2436, 596, 2811, 606, 19002, 267, 513, 3318, 609, 513, 9308, 14053, 2816, 267, 610, 2576, 945, 9388, 609, 519, 31191, 543, 24074, 540, 3232, 4247, 269, 0, 300, 12000, 773, 729, 513, 476, 278, 4458, 6040, 8004, 945, 6068, 4730, 13558, 543, 15472, 269, 2290, 1554, 267, 1352, 3357, 1753, 689, 1153, 4743, 13347, 269, 834, 1432, 781, 4636, 267, 9932, 8119, 1200, 3158, 4280, 269, 834, 5278, 540, 519, 6690, 693, 1153, 941, 1818, 1187, 540, 803, 1317, 594, 6415, 711, 607, 2960, 5500, 607, 789, 616, 2437, 7395, 27932, 14452, 563, 300, 12000, 773, 781, 3158, 15091, 519, 2956, 540, 1373, 2635, 3079, 540, 3843, 547, 1413, 513, 1978, 1259, 267, 1247, 9361, 609, 1200, 543, 7713, 602, 3025, 781, 1560, 568, 1114, 269, 2701, 18056, 7395, 27932, 540, 782, 519, 1919, 1352, 6068, 547, 798, 543, 875, 2178, 543, 5827, 1200, 1560, 729, 563, 300, 12000, 773, 781, 3158, 849, 14437, 609, 1200, 827, 2923, 6835, 602, 3895, 32601, 1560, 4441, 543, 9415, 1200, 547, 2243, 891, 6835, 563, 7021, 942, 267, 7395, 27932, 4121, 547, 1445, 593, 519, 2318, 3344, 540, 1200, 1560, 543, 547, 5660, 782, 519, 5863, 1919, 621, 1223, 798, 269, 2701, 4797, 547, 1404, 13558, 543, 7544, 267, 543, 1352, 5433, 10583, 540, 9887, 585, 1373, 2178, 543, 2635, 563, 307, 22736, 547, 3214, 827, 1560, 3239, 3085, 1405, 723, 547, 581, 7294, 269, 8048, 676, 1383, 543, 5000, 2635, 5615, 269, 7726, 2923, 6835, 543, 3895, 513, 2178, 2631, 540, 1582, 2914, 2180, 269, 1452, 3268, 666, 948, 707, 1126, 1020, 513, 2635, 1560, 3239, 543, 2318, 1582, 12635, 563, 2026, 3237, 267, 649, 1616, 938, 1453, 547, 1332, 909, 609, 2635, 1560, 2592, 543, 2318, 1582, 12635, 269, 10251, 267, 2221, 267, 621, 666, 581, 2352, 547, 13104, 1453, 689, 2942, 6835, 827, 1560, 2450, 543, 5920, 269, 1717, 267, 972, 616, 3268, 596, 666, 1491, 547, 2911, 547, 707, 3214, 827, 1560, 3239, 538, 513, 2318, 543, 5363, 1259, 563, 20058, 267, 621, 781, 1271, 547, 1291, 676, 1383, 269, 2659, 1378, 2078, 609, 707, 1560, 786, 723, 513, 1713, 1764, 593, 707, 1126, 781, 8226, 540, 741, 1378, 1560, 269, 1403, 596, 2811, 2141, 6158, 11874, 827, 707, 1378, 5920, 267, 707, 1126, 568, 2693, 547, 1020, 2942, 4606, 827, 741, 1378, 1560, 269, 5502, 267, 2119, 547, 2203, 2635, 1560, 8456, 676, 6340, 9797, 827, 707, 1378, 1560, 543, 2921, 1416, 540, 3054, 563, 21886, 5971, 707, 1126, 547, 9772, 2635, 5615, 971, 607, 7059, 4189, 267, 2834, 3635, 267, 543, 6190, 1964, 269, 3680, 2942, 8292, 827, 2597, 610, 5920, 267, 543, 3079, 267, 5031, 519, 2318, 4093, 540, 2635, 6208, 267, 899, 2799, 1648, 543, 2949, 1134, 5630, 563, 2005, 781, 849, 1271, 547, 2911, 16175, 609, 707, 1126, 827, 2923, 6835, 3823, 1560, 3239, 269, 3509, 2923, 2959, 3895, 32601, 1560, 4441, 267, 799, 666, 581, 14124, 547, 1453, 781, 1582, 12635, 269, 11559, 707, 1126, 547, 2243, 891, 6835, 543, 2911, 827, 1946, 789, 949, 581, 32601, 610, 5739, 563, 7661, 267, 948, 707, 1126, 1020, 513, 2178, 2631, 540, 1582, 2914, 2180, 602, 3884, 1405, 13615, 547, 5920, 269, 11559, 873, 547, 11654, 741, 18653, 267, 1020, 741, 15421, 267, 543, 1871, 741, 6418, 7907, 269, 3816, 785, 873, 602, 3025, 568, 2189, 543, 602, 741, 4502, 568, 711, 5462, 676, 741, 5920, 563, 4467, 618, 12989, 593, 875, 596, 7668, 707, 1453, 547, 2648, 741, 1560, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2081, 269, 3509, 1004, 4647, 519, 1699, 2212, 619, 630, 3286, 519, 1641, 3515, 540, 519, 6835, 267, 711, 519, 6835, 2933, 1070, 543, 1287, 1665, 1346, 6835, 609, 5396, 789, 2811, 5461, 538, 543, 4647, 1152, 1346, 6835, 269, 4033, 1004, 1224, 782, 519, 6835, 538, 519, 3377, 25364, 789, 24049, 547, 269, 3733, 2259, 568, 519, 8545, 563, 2691, 596, 6494, 513, 5048, 547, 513, 3377, 16766, 267, 596, 2811, 11488, 621, 547, 782, 519, 1004, 945, 24049, 547, 602, 3377, 16766, 267, 782, 936, 519, 1158, 269, 1403, 707, 5048, 568, 513, 2930, 2243, 267, 596, 666, 1419, 1205, 5140, 5796, 689, 930, 540, 519, 1034, 19579, 1004, 538, 519, 2361, 28236, 2053, 538, 1152, 513, 1906, 3764, 610, 3108, 563, 3719, 13657, 568, 2877, 1934, 1932, 269, 3502, 782, 519, 1004, 945, 786, 2626, 707, 2243, 616, 4966, 269, 3509, 540, 873, 616, 834, 342, 2335, 23042, 257, 4966, 267, 543, 1866, 3274, 1810, 1405, 723, 1022, 2856, 1018, 789, 2811, 6158, 827, 269, 2142, 6297, 689, 7247, 596, 1491, 2930, 5796, 563, 1692, 798, 596, 5094, 519, 10568, 689, 519, 669, 3530, 543, 5094, 519, 1483, 4966, 689, 519, 530, 27767, 4315, 286, 898, 781, 2965, 14320, 4443, 982, 621, 4667, 269, 670, 836, 1472, 513, 3377, 16766, 585, 513, 1247, 1354, 6998, 1022, 2055, 540, 707, 1378, 269, 3367, 519, 30491, 547, 824, 1004, 781, 2243, 267, 543, 519, 30491, 547, 1346, 30491, 269, 1403, 596, 917, 1256, 513, 2370, 3787, 827, 513, 1641, 267, 621, 4166, 3587, 1360, 7805, 945, 519, 1483, 4966, 616, 543, 945, 616, 1346, 945, 666, 1405, 581, 11967, 563, 2691, 596, 798, 2022, 6835, 267, 1934, 616, 930, 2798, 540, 834, 6339, 22761, 257, 547, 1832, 538, 2247, 912, 272, 269, 13773, 593, 1888, 269, 5213, 1405, 2022, 5048, 521, 20775, 547, 519, 7150, 1888, 540, 519, 3377, 16766, 267, 543, 3343, 856, 519, 3377, 16766, 602, 781, 519, 1655, 835, 585, 707, 5048, 563, 273, 269, 5213, 1405, 2022, 6835, 3377, 16766, 6835, 538, 14103, 269, 2422, 10750, 32412, 2862, 1257, 1152, 269, 14755, 707, 3903, 540, 23935, 267, 4778, 267, 3092, 267, 7654, 1373, 30414, 547, 1866, 267, 14103, 2306, 6835, 8273, 267, 543, 930, 1004, 630, 31860, 538, 2342, 264, 2628, 585, 741, 4950, 1569, 676, 519, 8792, 282, 789, 1810, 1405, 5660, 2348, 547, 4647, 6835, 1022, 3476, 982, 2556, 269, 23205, 802, 616, 5461, 538, 1543, 267, 711, 2511, 563, 274, 269, 6684, 267, 1810, 1405, 2022, 27589, 538, 3377, 25364, 269, 1879, 2576, 12134, 267, 834, 1692, 798, 594, 3267, 8119, 1810, 1405, 16253, 267, 834, 8196, 519, 7923, 3758, 1701, 1403, 596, 1616, 547, 6494, 2576, 513, 3758, 267, 2901, 6494, 621, 676, 4357, 552, 17733, 267, 610, 2022, 621, 547, 835, 540, 519, 1896, 3377, 25364, 609, 834, 321, 2435, 257, 538, 922, 2012, 543, 4704, 602, 20171, 538, 707, 5048, 547, 519, 3312, 3377, 16766, 269, 2107, 2322, 621, 593, 707, 5680, 3135, 267, 952, 596, 723, 835, 267, 543, 6494, 513, 3095, 547, 519, 5680, 3135, 563, 275, 269, 1879, 596, 16253, 547, 2576, 781, 5048, 267, 581, 2386, 547, 10839, 519, 5048, 596, 2811, 1065, 2391, 547, 267, 1210, 519, 10839, 4183, 540, 707, 3377, 1348, 518, 269, 4107, 1004, 945, 1224, 3377, 25364, 1810, 1405, 4688, 2907, 1224, 6835, 267, 543, 513, 5048, 1510, 513, 10839, 7475, 909, 3592, 4625, 16662, 3485, 1043, 269, 6884, 596, 1294, 513, 5048, 1510, 513, 10839, 6031, 1152, 834, 296, 3858, 257, 538, 513, 8142, 1141, 1004, 723, 6829, 1082, 1114, 8369, 269, 12321, 1328, 6487, 945, 519, 5856, 568, 3858, 532, 609, 563, 276, 269, 1635, 519, 1482, 18351, 267, 1810, 1405, 936, 6709, 1774, 269, 1411, 1810, 1405, 991, 547, 1065, 739, 519, 3003, 5048, 596, 2811, 1065, 2391, 547, 269, 2558, 574, 519, 20926, 1257, 547, 4734, 1152, 2614, 547, 2322, 707, 16253, 883, 2796, 269, 5457, 1346, 1004, 538, 2342, 945, 616, 9878, 676, 519, 8792, 563, 277, 269, 1403, 596, 2307, 513, 2930, 2243, 267, 581, 2386, 547, 1331, 782, 519, 4143, 1239, 547, 948, 824, 547, 948, 596, 269, 589, 2243, 899, 834, 296, 6836, 547, 1535, 16282, 343, 543, 621, 4769, 1405, 960, 269, 1548, 1058, 594, 798, 8119, 568, 3592, 7543, 547, 2626, 269, 15681, 519, 3377, 16766, 4010, 1018, 4523, 950, 596, 2119, 267, 711, 1175, 602, 596, 4769, 1405, 1205, 519, 1267, 596, 941, 24584, 269, 1403, 596, 1205, 606, 5470, 5048, 267, 10839, 621, 8231, 520, 574, 563, 2690, 1344, 593, 875, 547, 1118, 513, 1434, 3377, 16766, 20171, 267, 1224, 5291, 2517, 4178, 6155, 1206, 2000, 2593, 270, 16591, 14006, 21867, 543, 5291, 2517, 4178, 6983, 520, 321, 3820, 270, 349, 525, 337, 11721, 26698, 338, 4882, 27926, 6709, 5465, 11258, 454, 278, 269, 2691, 596, 16253, 547, 513, 5048, 267, 946, 519, 834, 11847, 569, 1895, 257, 7735, 538, 707, 3377, 1348, 518, 267, 711, 834, 11847, 569, 1701, 31400, 6828, 15920, 519, 16253, 547, 519, 3377, 16766, 267, 543, 31400, 1394, 547, 519, 1367, 607, 2123, 552, 17733, 269, 3509, 3377, 16766, 5171, 1810, 1405, 1616, 547, 1205, 2123, 552, 17733, 689, 21046, 538, 513, 3377, 16766, 543, 786, 11716, 707, 16253, 952, 596, 798, 713, 269, 834, 11847, 569, 257, 1058, 581, 1031, 1152, 952, 2576, 12134, 585, 513, 2123, 552, 17733, 16253, 267, 543, 1256, 1287, 267, 1152, 952, 596, 1616, 547, 563, 279, 269, 23883, 952, 596, 616, 6998, 513, 2243, 267, 855, 585, 1022, 3377, 16766, 2022, 902, 267, 946, 3044, 18685, 267, 10259, 267, 19437, 267, 543, 8239, 538, 707, 5048, 269, 1403, 596, 1118, 621, 4443, 585, 1004, 547, 1224, 543, 1174, 707, 2243, 267, 596, 616, 1454, 811, 2693, 547, 1205, 519, 948, 596, 991, 982, 952, 707, 5048, 568, 540, 519, 834, 325, 579, 524, 333, 678, 323, 555, 338, 579, 524, 333, 575, 339, 513, 575, 323, 795, 321, 562, 575, 323, 2628, 257, 3099, 269, 1879, 594, 1294, 971, 513, 5048, 267, 1250, 4064, 1175, 1350, 10270, 936, 282, 594, 11716, 621, 543, 1175, 979, 593, 547, 519, 1985, 835, 563, 280, 269, 6684, 2057, 20171, 538, 782, 11503, 267, 799, 568, 1360, 2182, 547, 1224, 267, 543, 2306, 519, 18579, 1745, 899, 646, 781, 1373, 22551, 539, 693, 563, 11514, 23955, 540, 5240, 25364, 454, 3080, 25031, 1249, 540, 1272, 538, 3377, 25364, 568, 28417, 269, 1975, 600, 568, 5667, 4301, 1243, 5010, 552, 17733, 267, 543, 676, 10137, 267, 1022, 5667, 4301, 1243, 267, 13311, 267, 1055, 2389, 8084, 6835, 267, 2356, 5356, 1945, 585, 9042, 267, 17611, 17639, 930, 1055, 2389, 8084, 2797, 2014, 267, 3092, 269, 6884, 621, 781, 606, 740, 267, 3006, 621, 8992, 513, 5680, 3023, 3135, 267, 543, 3006, 621, 781, 513, 1205, 11656, 6709, 1157, 10325, 610, 5832, 4484, 563, 293, 6136, 596, 666, 12404, 689, 513, 2603, 540, 28417, 676, 519, 946, 540, 519, 19003, 610, 834, 26973, 12803, 257, 9744, 540, 707, 3377, 1348, 518, 269, 1280, 1383, 267, 594, 6882, 856, 782, 6835, 609, 519, 1913, 834, 24708, 2724, 2437, 834, 1326, 3638, 2437, 834, 331, 846, 2597, 2437, 834, 321, 629, 525, 257, 834, 14653, 2437, 543, 865, 8521, 563, 5194, 28417, 5829, 7156, 568, 602, 930, 838, 27980, 7556, 552, 17733, 9607, 689, 3377, 25364, 543, 946, 873, 547, 1628, 552, 17733, 544, 9430, 8638, 269, 634, 1259, 1472, 713, 568, 711, 547, 946, 707, 1483, 2132, 2232, 538, 707, 3377, 16766, 6835, 267, 855, 547, 12189, 621, 267, 1287, 1331, 5528, 538, 707, 15040, 607, 547, 875, 547, 4368, 621, 269, 1280, 1383, 267, 952, 707, 1483, 2232, 568, 18078, 17106, 11333, 3820, 267, 596, 1223, 946, 27342, 287, 18958, 311, 326, 21166, 2593, 607, 707, 2132, 2232, 267, 543, 1331, 519, 5528, 834, 7230, 913, 2473, 338, 547, 6494, 803, 4357, 552, 17733, 1701, 2334, 781, 1572, 834, 332, 2426, 532, 257, 707, 2232, 269, 634, 13128, 552, 17733, 16276, 3301, 519, 838, 27980, 946, 4465, 1405, 581, 2111, 547, 1118, 519, 15494, 269, 17968, 267, 952, 596, 2760, 1616, 547, 1205, 30491, 676, 552, 17733, 630, 296, 6415, 2576, 945, 3085, 1405, 1070, 1810, 1405, 946, 707, 1483, 2132, 2232, 538, 1022, 1106, 563, 10190, 972, 616, 512, 2651, 338, 269, 589, 834, 339, 2651, 257, 568, 2576, 945, 9708, 513, 5048, 1510, 1022, 3801, 547, 1683, 4977, 1344, 610, 581, 5363, 538, 1022, 1259, 269, 3571, 8247, 568, 547, 1376, 606, 4661, 267, 543, 7519, 519, 3377, 16766, 269, 898, 781, 2356, 1360, 2653, 547, 5544, 519, 7368, 512, 2651, 338, 267, 543, 22508, 2299, 267, 1210, 519, 6882, 270, 26973, 12803, 4183, 540, 707, 3377, 1348, 518, 1568, 1360, 1134, 547, 12404, 741, 6835, 563, 3383, 899, 3592, 4376, 3116, 267, 3377, 25364, 723, 741, 1434, 543, 3983, 2798, 269, 1809, 609, 930, 1416, 538, 875, 596, 946, 873, 267, 596, 666, 2490, 873, 883, 835, 540, 519, 1034, 3407, 2200, 693, 707, 12871, 269, 594, 4363, 873, 3810, 269, 0, 2521, 856, 891, 16919, 2336, 1607, 2241, 1426, 1888, 25690, 12857, 10453, 547, 930, 1007, 3536, 11305, 28979, 543, 2337, 873, 1589, 827, 1018, 666, 581, 6738, 538, 824, 2477, 543, 875, 891, 7031, 1522, 581, 6738, 543, 19122, 269, 7179, 856, 891, 9212, 1287, 1118, 519, 3536, 630, 933, 723, 6854, 873, 3833, 2241, 1040, 5590, 873, 856, 538, 513, 1899, 543, 2901, 723, 9212, 3068, 909, 865, 602, 789, 666, 1294, 1018, 789, 616, 267, 610, 1747, 3068, 1524, 543, 2307, 10453, 547, 7058, 1018, 789, 616, 269, 1411, 1223, 8831, 713, 2856, 676, 7446, 1896, 3536, 543, 607, 513, 1362, 14045, 2436, 789, 666, 581, 6738, 610, 3812, 538, 519, 5177, 267, 3979, 2477, 610, 1312, 563, 288, 4015, 540, 3756, 5129, 676, 3979, 1453, 454, 6624, 540, 519, 3756, 602, 1453, 1404, 538, 5101, 4000, 616, 827, 1919, 538, 741, 4948, 2729, 281, 1426, 267, 1920, 543, 4630, 655, 1136, 269, 5753, 1404, 873, 538, 1153, 4610, 267, 693, 1753, 610, 593, 796, 268, 4310, 2244, 538, 741, 29117, 269, 1452, 3756, 267, 593, 519, 7824, 2630, 519, 3381, 267, 616, 689, 513, 1895, 540, 1453, 2282, 16384, 18553, 267, 24063, 269, 6969, 27189, 513, 21582, 5280, 741, 3885, 267, 1082, 540, 891, 1453, 941, 4731, 333, 712, 1639, 267, 1152, 17696, 835, 7594, 513, 1554, 543, 1185, 1360, 2370, 1648, 547, 1404, 269, 3414, 2866, 538, 2067, 8105, 609, 741, 3885, 267, 519, 1453, 616, 1631, 2111, 547, 2972, 741, 6689, 338, 543, 1332, 909, 1072, 1176, 1107, 2348, 2614, 14312, 1426, 585, 1614, 6980, 513, 1554, 543, 2348, 519, 1983, 547, 1332, 1426, 585, 519, 1964, 540, 741, 2729, 563, 2252, 596, 1810, 1406, 723, 1569, 547, 966, 830, 334, 2593, 547, 4585, 7044, 693, 1153, 267, 11578, 585, 606, 2272, 593, 741, 3896, 693, 1753, 543, 1287, 596, 666, 4647, 782, 938, 7044, 1210, 519, 3095, 593, 519, 5377, 1318, 540, 1142, 3381, 2985, 563, 300, 582, 10675, 707, 10453, 547, 3802, 547, 1153, 2336, 2690, 12532, 593, 13723, 267, 1946, 711, 798, 1945, 1114, 547, 18663, 707, 10453, 547, 581, 2635, 543, 948, 873, 1451, 827, 4000, 1247, 789, 3802, 286, 1411, 3580, 581, 11836, 538, 609, 519, 5215, 540, 1453, 2066, 4000, 945, 3802, 547, 1153, 1169, 1554, 269, 1703, 616, 2093, 543, 2200, 585, 1018, 596, 666, 798, 593, 1142, 1554, 267, 630, 7945, 607, 4730, 3979, 3756, 267, 1818, 5068, 9126, 11176, 338, 543, 4189, 3979, 4829, 1070, 2059, 609, 513, 5295, 4812, 547, 6338, 519, 2856, 547, 10453, 269, 9578, 267, 972, 616, 930, 1344, 10833, 827, 1272, 538, 5101, 4000, 543, 12383, 547, 948, 596, 547, 1711, 513, 4928, 4159, 269, 1284, 8910, 849, 2648, 621, 952, 596, 8359, 547, 1491, 519, 4316, 547, 1205, 1453, 23032, 543, 2508, 571, 1047, 585, 27189, 513, 21582, 563, 5970, 606, 3979, 8285, 538, 707, 4928, 454, 288, 1390, 4199, 585, 8285, 270, 3849, 1203, 267, 891, 9212, 948, 1118, 513, 9735, 1035, 29716, 3529, 602, 786, 1711, 513, 7990, 995, 3774, 4159, 269, 4438, 13491, 267, 707, 1453, 786, 1451, 827, 8285, 538, 3979, 2477, 543, 798, 1945, 2186, 693, 1153, 610, 1753, 607, 13793, 902, 616, 3773, 547, 519, 1035, 29716, 3529, 269, 1358, 616, 1804, 3758, 7306, 267, 865, 5225, 581, 3461, 269, 1411, 666, 849, 1294, 782, 540, 519, 1344, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17785, 454, 763, 2856, 540, 1603, 513, 5098, 949, 3100, 2864, 31029, 585, 596, 269, 898, 568, 15983, 519, 13074, 1603, 7084, 596, 723, 2479, 2944, 267, 543, 596, 949, 1745, 513, 3787, 8401, 827, 875, 596, 786, 6023, 621, 269, 898, 568, 1360, 3730, 547, 1413, 693, 930, 1434, 4712, 3732, 5098, 1603, 538, 707, 1858, 1175, 547, 1205, 930, 2489, 2856, 540, 1018, 707, 960, 1058, 1413, 899, 269, 634, 14724, 1259, 547, 798, 621, 568, 3274, 547, 3643, 707, 6280, 5399, 543, 1265, 930, 5439, 689, 3105, 5830, 269, 14755, 596, 666, 1413, 585, 621, 538, 519, 5769, 269, 1809, 519, 1034, 1271, 3364, 585, 596, 547, 917, 568, 519, 2953, 2497, 540, 519, 2104, 5098, 269, 2353, 519, 2556, 1344, 568, 2016, 2630, 269, 5269, 946, 540, 621, 538, 519, 1184, 540, 8600, 543, 1603, 707, 5098, 543, 621, 786, 15983, 581, 811, 3318, 563, 272, 264, 7170, 2985, 1107, 519, 1360, 1101, 2985, 540, 707, 5098, 267, 799, 1058, 1331, 519, 2140, 267, 4266, 540, 19169, 267, 519, 4110, 707, 960, 568, 11643, 585, 543, 6368, 707, 2407, 2012, 563, 273, 264, 17593, 1107, 621, 568, 513, 2110, 540, 519, 1603, 960, 267, 2356, 835, 2985, 1279, 267, 602, 18304, 909, 707, 960, 779, 6859, 267, 4282, 1344, 267, 2409, 540, 1382, 543, 4681, 269, 5901, 538, 2247, 267, 713, 851, 1590, 581, 2854, 2063, 563, 274, 264, 12937, 1107, 616, 519, 7515, 602, 1592, 782, 519, 11271, 267, 5515, 267, 12222, 543, 824, 2556, 1344, 269, 2368, 1434, 3732, 5098, 1603, 949, 581, 1360, 3730, 1934, 563, 275, 264, 3487, 476, 272, 281, 2796, 543, 4282, 568, 513, 2186, 540, 513, 4901, 593, 519, 4282, 1344, 547, 519, 1382, 543, 519, 7778, 585, 922, 2956, 543, 2597, 607, 513, 1382, 1788, 563, 276, 264, 3487, 476, 273, 281, 3332, 2689, 568, 606, 7291, 540, 782, 519, 4681, 540, 707, 3332, 2689, 563, 277, 264, 3487, 476, 274, 281, 12191, 540, 1382, 568, 513, 6609, 540, 519, 2409, 540, 1382, 602, 596, 723, 1500, 946, 540, 1282, 519, 1353, 563, 278, 264, 20668, 476, 275, 1700, 277, 281, 2079, 543, 1239, 6881, 1107, 891, 6810, 1459, 267, 4612, 543, 20272, 782, 519, 2164, 543, 4681, 540, 707, 960, 563, 279, 264, 3487, 476, 278, 281, 8753, 543, 4901, 1107, 713, 3296, 1058, 1459, 519, 2489, 4681, 267, 707, 2626, 547, 519, 2243, 540, 1382, 543, 606, 2079, 540, 713, 1382, 563, 280, 264, 31639, 568, 513, 1592, 540, 519, 8100, 543, 24185, 602, 596, 723, 2944, 538, 707, 5098, 269, 6733, 585, 1697, 3919, 540, 713, 3296, 609, 930, 1434, 3732, 5098, 1603, 563, 1015, 264, 5410, 754, 636, 568, 782, 519, 3606, 1344, 596, 991, 547, 1331, 269, 898, 666, 581, 1022, 2186, 540, 519, 2143, 1239, 563, 2791, 991, 547, 1832, 538, 2247, 602, 707, 1603, 1983, 786, 1020, 543, 3356, 609, 2259, 269, 1411, 949, 1265, 707, 1101, 11271, 540, 1603, 1491, 3833, 513, 2603, 540, 942, 543, 2154, 1454, 26941, 543, 556, 2914, 1800, 269, 11048, 267, 5555, 707, 1603, 1983, 786, 1831, 1732, 269, 769, 2013, 596, 723, 1022, 13542, 609, 1603, 513, 5098, 596, 666, 2141, 1413, 585, 606, 5796, 540, 1434, 3732, 5098, 1603, 269, 12846, 267, 3006, 621, 568, 711, 2614, 269, 769, 971, 2013, 596, 949, 4019, 585, 3318, 948, 693, 2688, 1382, 1603, 13930, 590, 3139, 599, 22967, 2593, 543, 1931, 513, 2688, 27787, 5098, 972, 269, 898, 786, 581, 2944, 676, 9952, 543, 4810, 5830, 945, 10018, 519, 5207, 2298, 543, 7453, 4550, 13807, 698, 14705, 3609, 269, 5213, 1406, 3653, 707, 942, 543, 4166, 596, 786, 1205, 707, 5140, 3446, 256, 0, 268, 14332, 523, 267, 22374, 700, 563, 16123, 359, 8225, 4620, 6331, 626, 514, 2407, 22374, 2274, 12858, 14332, 523, 9799, 4873, 476, 2641, 267, 476, 6642, 278, 267, 3751, 8725, 267, 13115, 1421, 2052, 6155, 1221, 20029, 269, 476, 1556, 267, 476, 4198, 277, 267, 6115, 267, 667, 5861, 269, 4692, 6598, 2520, 6048, 945, 729, 835, 540, 519, 1034, 1271, 23806, 538, 519, 2361, 540, 8097, 4620, 14347, 630, 328, 4318, 1421, 519, 8097, 1353, 540, 519, 5169, 543, 3114, 5888, 540, 7725, 1040, 1261, 729, 4922, 6444, 585, 1010, 5123, 25668, 10329, 2090, 540, 3623, 6510, 1949, 607, 789, 9305, 547, 519, 5169, 540, 5337, 15667, 7725, 11065, 578, 523, 6594, 7998, 267, 7777, 9609, 267, 543, 20569, 693, 10348, 781, 2160, 267, 3751, 8725, 267, 13115, 1421, 15980, 1079, 5232, 972, 676, 476, 5002, 280, 269, 1261, 5833, 1010, 1912, 6185, 269, 693, 519, 12590, 4659, 540, 5303, 538, 476, 4489, 273, 269, 2334, 1032, 646, 8678, 519, 2983, 26491, 12524, 540, 519, 31257, 26323, 540, 6115, 267, 667, 5861, 1421, 607, 606, 13930, 4620, 6331, 626, 269, 1261, 729, 547, 6108, 1454, 540, 1010, 4876, 972, 269, 1635, 476, 4489, 276, 14332, 523, 1185, 13401, 513, 1895, 540, 8097, 2090, 602, 9863, 547, 581, 9691, 1271, 547, 4620, 14347, 543, 4646, 519, 4493, 540, 1010, 2565, 2689, 634, 13536, 853, 1137, 540, 519, 12472, 540, 519, 16384, 928, 748, 32520, 630, 4489, 276, 1070, 513, 1957, 540, 971, 14222, 20519, 602, 621, 3964, 14332, 523, 781, 2990, 693, 519, 2085, 540, 476, 2764, 607, 606, 3486, 4137, 538, 4620, 14347, 11065, 578, 523, 759, 11220, 689, 519, 2983, 26491, 12524, 547, 2132, 13713, 547, 10348, 781, 2160, 607, 7548, 540, 7777, 9609, 630, 4489, 280, 1070, 855, 1310, 1079, 1296, 646, 8120, 1586, 547, 519, 8047, 538, 6115, 269, 1703, 646, 7283, 585, 476, 1626, 1296, 267, 3376, 2287, 1010, 4323, 593, 3623, 6510, 1949, 269, 3571, 29622, 5645, 1390, 2597, 950, 646, 4294, 1010, 8097, 13608, 12950, 1239, 547, 2361, 4620, 25233, 2042, 269, 1677, 713, 1439, 646, 29367, 10272, 8106, 2199, 885, 11341, 547, 2042, 540, 5337, 15667, 7725, 281, 519, 17312, 557, 671, 540, 3162, 4000, 267, 519, 30175, 545, 20662, 553, 540, 5101, 4000, 267, 543, 519, 829, 573, 582, 2572, 540, 4787, 6614, 543, 519, 674, 523, 1858, 540, 16157, 16638, 519, 5614, 540, 476, 4572, 278, 267, 14332, 523, 9447, 513, 1576, 540, 15872, 547, 4359, 1053, 538, 20569, 693, 23134, 2160, 267, 519, 6219, 540, 799, 729, 3370, 538, 476, 4572, 279, 607, 634, 12472, 540, 519, 16384, 928, 748, 32520, 269, 769, 713, 24526, 6881, 267, 14332, 523, 3177, 513, 5619, 543, 513, 10282, 602, 723, 25116, 513, 7096, 3310, 593, 4620, 6331, 545, 2219, 269, 13536, 14332, 523, 32524, 14916, 609, 808, 12171, 269, 5576, 18311, 337, 267, 513, 1762, 543, 2111, 4603, 518, 945, 1185, 8678, 519, 8047, 689, 23171, 2160, 269, 8625, 789, 5249, 593, 3623, 6510, 1949, 5627, 4401, 12547, 267, 4098, 609, 7542, 878, 12547, 543, 2663, 7542, 9317, 12547, 11065, 578, 523, 1500, 513, 2034, 543, 811, 6905, 2736, 689, 519, 2983, 26491, 12524, 950, 646, 6026, 693, 519, 2160, 540, 9628, 689, 476, 4350, 278, 547, 476, 3707, 278, 269, 1261, 6385, 2919, 513, 1153, 540, 8097, 4620, 14347, 972, 543, 3812, 513, 19588, 540, 4574, 676, 1010, 10453, 602, 18808, 609, 11466, 2090, 540, 12659, 8932, 1949, 269, 14332, 523, 5128, 4843, 513, 10282, 540, 891, 2164, 538, 741, 12946, 593, 519, 5169, 543, 15285, 540, 22279, 7725, 630, 3707, 276, 1040, 5475, 2622, 2782, 4083, 267, 14332, 523, 729, 13251, 547, 2132, 2899, 811, 547, 519, 2983, 26491, 12524, 538, 476, 3707, 278, 547, 28111, 538, 1382, 593, 7777, 1949, 8508, 2019, 520, 3796, 267, 3226, 1216, 269, 901, 960, 19411, 730, 538, 2090, 630, 335, 21242, 538, 476, 4198, 279, 1070, 609, 744, 12171, 269, 15397, 1479, 607, 513, 3523, 1807, 267, 593, 519, 25342, 1062, 11065, 578, 523, 781, 7681, 609, 519, 2983, 26491, 12524, 6905, 267, 538, 782, 267, 811, 982, 476, 3374, 1296, 267, 543, 1010, 1279, 543, 26672, 573, 2594, 729, 6444, 676, 519, 8366, 540, 4378, 2293, 689, 4121, 7239, 538, 519, 2136, 2276, 543, 2342, 269, 1261, 19622, 538, 476, 4198, 273, 855, 729, 1869, 3742, 543, 1185, 606, 5604, 538, 519, 2983, 26491, 12524, 607, 1382, 12314, 2394, 1010, 2669, 5861, 1815, 559, 28089, 570, 559, 2917, 3798, 269, 21206, 7335, 290, 9950, 269, 570, 559, 2917, 267, 968, 32207, 534, 2274, 12858, 14332, 523, 2223, 4437, 7240, 6490, 7546, 338, 540, 26665, 3298, 540, 519, 9576, 5980, 267, 476, 274, 281, 278, 1700, 2420, 630, 4198, 278, 1916, 265, 2608, 27661, 396, 350, 9261, 269, 476, 25000, 7549, 21833, 3264, 11714, 18194, 31589, 15671, 4138, 17153, 11012, 6459, 13833, 3522, 4814, 9326, 17153, 912, 289, 578, 523, 267, 22374, 700, 263, 5271, 328, 264, 2443, 4535, 4873, 476, 2641, 267, 476, 6642, 278, 267, 3751, 8725, 267, 13115, 1421, 2052, 269, 5747, 20029, 269, 476, 1556, 267, 476, 4198, 277, 267, 6115, 267, 667, 5861, 1421, 772, 2529, 269, 8225, 2520, 6048, 269, 1261, 5249, 593, 543, 1055, 585, 811, 982, 476, 3374, 1296, 585, 519, 2983, 26491, 12524, 538, 6115, 267, 667, 5861, 1421, 1141, 646, 21503, 3623, 6510, 1949, 269, 4438, 2507, 2560, 17629, 1756, 454, 289, 578, 523, 267, 22374, 700, 263, 5271, 328, 264, 2443, 630, 2641, 15118, 269, 476, 6642, 278, 267, 3751, 7723, 267, 14411, 267, 2052, 611, 5451, 1700, 1556, 694, 335, 269, 476, 4198, 277, 267, 6115, 267, 667, 5861, 1421, 661, 292, 269, 308, 308, 12175, 2983, 6759, 8421, 334, 666, 611, 1329, 572, 269, 28769, 544, 27222, 632, 476, 3374, 513, 10722, 657, 911, 321, 1690, 6759, 679, 1106, 320, 954, 2466, 25366, 16948, 1714, 2983, 26491, 12524, 679, 6115, 267, 667, 5861, 1421, 546, 27475, 1609, 644, 328, 6759, 17485, 521, 626, 655, 553, 632, 24485, 520, 657, 269, 2507, 2560, 7402, 545, 331, 31638, 17629, 454, 32207, 534, 700, 269, 14332, 523, 2443, 22374, 2274, 12858, 14332, 523, 22374, 2274, 12858, 14332, 523, 630, 514, 476, 5002, 280, 264, 18004, 4873, 476, 2641, 267, 476, 6642, 278, 3751, 8725, 2560, 9504, 454, 32207, 534, 2274, 12858, 14332, 523, 2443, 769, 10523, 655, 3203, 1731, 601, 522, 1457, 12559, 1013, 8636, 905, 327, 6352, 1165, 326, 29868, 530, 32218, 15607, 6176, 523, 281, 28762, 905, 327, 2741, 3728, 782, 525, 269, 654, 518, 651, 267, 2274, 17754, 267, 2372, 749, 523, 3267, 13660, 737, 2335, 560, 9504, 927, 325, 523, 267, 967, 655, 5918, 20146, 973, 615, 577, 1512, 560, 3768, 552, 8882, 6686, 326, 560, 269, 22374, 2274, 12858, 14332, 523, 30916, 2560, 1546, 28852, 9504, 454, 32207, 534, 2443, 1315, 333, 1177, 337, 803, 7795, 333, 32551, 562, 269, 476, 272, 269, 513, 4759, 540, 602, 7936, 540, 519, 3345, 5443, 610, 22778, 2103, 945, 538, 519, 476, 1015, 628, 2540, 22482, 11870, 22929, 269, 476, 273, 269, 4746, 1572, 22374, 3943, 269, 835, 540, 519, 6404, 32090, 543, 3943, 1004, 945, 20948, 11870, 22929, 543, 22482, 4789, 538, 2560, 17629, 1756, 454, 32207, 534, 2443, 630, 553, 1031, 538, 7215, 264, 21861, 2317, 267, 630, 30875, 264, 22374, 16907, 331, 13774, 267, 22374, 630, 11293, 333, 652, 264, 14332, 523, 267, 22374, 700, 263, 5271, 328, 264, 24697, 22374, 14161, 2023, 25679, 331, 664, 267, 654, 2830, 263, 517, 22374, 264, 3231, 267, 22374, 630, 300, 559, 2023, 264, 25357, 518, 267, 22374, 2494, 2917, 267, 7812, 630, 32207, 534, 264, 22374, 267, 15535, 263, 800, 3627, 264, 22374, 267, 25014, 6614, 2507, 2560, 7402, 545, 331, 31638, 17629, 454, 32207, 534, 700, 269, 14332, 523, 2443, 630, 5002, 280, 1040, 22374, 2274, 12858, 14332, 523, 30916, 476, 2641, 269, 9947, 328, 476, 6642, 278, 538, 3751, 8725, 267, 14411, 282, 722, 510, 476, 1556, 269, 5181, 476, 4198, 277, 538, 6115, 667, 5861, 4700, 2112, 32489, 737, 534, 611, 29531, 2983, 23383, 613, 269, 769, 15595, 1206, 591, 2763, 747, 23036, 2560, 1546, 28852, 9504, 454, 32207, 534, 2274, 12858, 14332, 523, 2443, 679, 476, 5002, 280, 269, 22374, 2274, 12858, 14332, 523, 630, 333, 2946, 682, 476, 2641, 5104, 514, 476, 6642, 278, 20221, 3751, 8725, 1696, 6180, 682, 476, 1556, 31027, 655, 3691, 476, 4198, 277, 20221, 6115, 264, 1609, 796, 575, 2946, 860, 826, 666, 611, 1329, 269, 3474, 28140, 911, 341, 14513, 546, 753, 8350, 6389, 525, 632, 3288, 575, 2946, 5255, 574, 773, 1696, 632, 3288, 575, 2946, 5255, 1258, 860, 773, 267, 24924, 1609, 1420, 2946, 28584, 862, 324, 682, 533, 27056, 632, 3288, 2507, 2560, 654 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18227, 513, 13488, 4750, 454, 9199, 767, 13746, 4196, 2789, 5301, 267, 9117, 607, 1312, 3860, 19093, 543, 1065, 21627, 1559, 585, 8823, 543, 18759, 269, 1358, 5512, 2043, 547, 3561, 741, 9035, 267, 1184, 1950, 4664, 267, 2259, 14696, 267, 2087, 22423, 1983, 267, 543, 7794, 1582, 18221, 269, 5015, 267, 789, 6536, 2208, 538, 2792, 5759, 543, 1683, 3255, 585, 8220, 609, 1866, 563, 289, 269, 15689, 540, 13229, 13488, 4750, 9980, 1845, 454, 2304, 2500, 2951, 4760, 7127, 3335, 2882, 1896, 1883, 3334, 281, 4266, 267, 4087, 267, 2854, 11673, 540, 2833, 267, 4555, 267, 543, 4606, 282, 25780, 610, 12400, 282, 7851, 282, 10530, 282, 19044, 20839, 338, 282, 2022, 720, 22827, 282, 11147, 282, 543, 3134, 31906, 320, 6394, 2059, 519, 3460, 269, 23889, 3309, 2923, 8591, 6106, 540, 2495, 543, 17381, 547, 519, 3803, 1587, 563, 290, 269, 11150, 585, 12650, 1005, 24956, 545, 16474, 757, 454, 2414, 8308, 2099, 8090, 4810, 1282, 12599, 267, 1445, 593, 11287, 3877, 602, 13469, 14156, 610, 6457, 1302, 269, 16680, 10444, 24221, 267, 4497, 782, 2947, 12823, 950, 10503, 13341, 267, 543, 2611, 1930, 547, 21245, 8906, 269, 22982, 12987, 267, 1603, 5751, 267, 543, 11009, 2853, 547, 12954, 8086, 543, 15052, 6278, 609, 10450, 563, 291, 269, 26157, 4826, 10233, 27006, 609, 13488, 4750, 532, 454, 28274, 1216, 10233, 2553, 547, 2951, 30998, 3091, 3875, 5383, 267, 1519, 8476, 8357, 1464, 267, 2799, 21599, 538, 2199, 4529, 267, 4824, 5386, 5179, 1983, 267, 543, 15398, 4656, 540, 2067, 5898, 269, 1879, 10128, 1216, 3712, 832, 883, 707, 4760, 13366, 267, 4603, 609, 1114, 4485, 899, 5418, 514, 2011, 11516, 4221, 267, 18638, 9903, 725, 267, 543, 10316, 2409, 9256, 1312, 780, 7656, 269, 12197, 1740, 20113, 543, 19750, 10241, 454, 288, 269, 12020, 513, 20167, 514, 5794, 4787, 564, 4221, 4934, 532, 454, 6524, 25054, 593, 513, 5418, 514, 2011, 11516, 4221, 32751, 542, 267, 5965, 1898, 7727, 899, 15409, 1574, 1564, 267, 17426, 16784, 762, 23107, 267, 1216, 11149, 267, 1957, 28734, 267, 543, 5493, 22863, 269, 3194, 1761, 6753, 2228, 610, 3842, 3391, 9248, 267, 6236, 3344, 899, 10333, 267, 29271, 9029, 267, 543, 8244, 540, 26484, 2127, 269, 6744, 4365, 23004, 543, 1544, 9935, 563, 289, 269, 18430, 532, 2201, 4149, 924, 9866, 3569, 543, 23531, 4886, 454, 26796, 21945, 693, 707, 6074, 3135, 267, 6108, 930, 942, 11287, 707, 1604, 5702, 269, 10576, 17122, 2798, 267, 4277, 5546, 267, 17804, 2418, 267, 543, 8903, 2681, 10659, 269, 3763, 513, 10690, 5888, 1210, 2241, 3515, 543, 2596, 3029, 267, 1287, 2253, 4946, 3877, 7930, 1247, 4509, 14354, 6111, 563, 290, 269, 20233, 1359, 27413, 543, 17006, 7956, 1116, 15689, 454, 2026, 596, 3356, 609, 707, 7206, 267, 4019, 20422, 6106, 540, 12001, 1216, 10233, 547, 1628, 909, 3178, 543, 8515, 269, 15331, 609, 8795, 2157, 540, 25294, 267, 3850, 1978, 2127, 547, 2611, 14402, 610, 811, 544, 3176, 585, 3308, 3666, 269, 19308, 18282, 1210, 2553, 5941, 4505, 538, 713, 1576, 1770, 563, 291, 269, 14484, 532, 593, 519, 15232, 543, 11657, 532, 16497, 3231, 2740, 454, 5475, 11264, 707, 5418, 514, 2011, 11516, 4221, 8400, 267, 4142, 6510, 942, 547, 10452, 2390, 519, 1995, 269, 6333, 3344, 899, 2591, 11402, 267, 23484, 6913, 267, 543, 4245, 4121, 269, 808, 582, 1524, 4967, 827, 4480, 9283, 267, 2681, 5079, 267, 610, 5888, 11941, 585, 2104, 4704, 780, 4353, 269, 5890, 21505, 21222, 976, 281, 11628, 11762, 543, 19662, 585, 12618, 454, 288, 269, 10289, 7913, 4826, 10233, 9828, 454, 19445, 1216, 10233, 3301, 3292, 2709, 4244, 18817, 585, 2870, 10875, 26620, 1510, 2168, 10148, 2404, 609, 2757, 2326, 269, 31385, 5867, 899, 1160, 22056, 267, 23489, 674, 637, 1723, 267, 610, 11759, 331, 10266, 614, 547, 4228, 707, 1983, 564, 543, 2263, 5499, 7399, 563, 289, 269, 20985, 18768, 543, 7991, 22580, 454, 27396, 622, 538, 1895, 3785, 267, 24218, 267, 610, 11925, 5059, 593, 2470, 30816, 1216, 10233, 7206, 269, 9523, 707, 960, 609, 8284, 12439, 267, 3343, 16268, 5955, 267, 543, 1451, 689, 1866, 262, 5380, 269, 15012, 1514, 2923, 2516, 6131, 547, 1216, 10233, 26274, 610, 7390, 6237, 2621, 15386, 16805, 5159, 538, 707, 1858, 563, 290, 269, 9752, 543, 15557, 32018, 454, 13706, 4687, 707, 6791, 609, 14971, 1216, 10233, 1235, 676, 5356, 4357, 4245, 267, 3056, 2146, 5049, 267, 610, 12180, 21044, 11925, 10704, 1472, 2951, 30998, 543, 2470, 7071, 269, 10426, 532, 593, 1702, 5252, 919, 2123, 2208, 543, 11942, 2318, 1689, 1369, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2492, 3643, 938, 476, 1911, 7376, 781, 960, 454, 7437, 1250, 10367, 267, 594, 2648, 547, 2769, 1250, 6612, 585, 2470, 538, 606, 27105, 2511, 676, 7393, 1018, 594, 1294, 563, 763, 5714, 640, 543, 5854, 3599, 540, 1216, 10233, 948, 803, 547, 3035, 602, 3804, 269, 3733, 7287, 607, 606, 7376, 568, 547, 3142, 1250, 21951, 547, 513, 2362, 1377, 540, 7071, 540, 519, 1641, 2339, 594, 993, 9446, 532, 563, 296, 723, 16138, 1639, 1250, 13007, 585, 1148, 609, 2090, 543, 11925, 609, 25422, 6444, 1216, 10233, 5159, 1519, 282, 4258, 978, 918, 31649, 4258, 324, 267, 7671, 30197, 267, 3627, 6428, 2381, 523, 267, 7338, 3004, 20415, 543, 18238, 1284, 580, 731, 339, 563, 7069, 1719, 538, 1148, 3459, 607, 513, 1126, 269, 1280, 1082, 1296, 594, 729, 606, 3282, 18048, 543, 723, 1336, 519, 5420, 540, 1216, 10233, 547, 581, 4241, 543, 4101, 269, 3733, 1641, 2339, 568, 9867, 543, 666, 581, 4376, 689, 513, 9390, 538, 16036, 267, 519, 6264, 16725, 540, 519, 10239, 267, 513, 3068, 609, 1915, 267, 547, 519, 16134, 540, 513, 2582, 28693, 8768, 563, 296, 993, 513, 6178, 1155, 16588, 540, 519, 8828, 14151, 4826, 10233, 2871, 843, 269, 769, 14151, 543, 538, 519, 29268, 267, 1141, 594, 5892, 5030, 267, 1250, 960, 814, 1044, 29632, 1221, 883, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 7981, 9314, 1315, 670, 10105, 1299, 9546, 802, 1315, 7186, 22878, 9546, 802, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 10289, 10960, 29675, 910, 1215, 12292, 18984, 633, 538, 21744, 2037, 4921, 692, 5970, 596, 2479, 9289, 875, 2831, 666, 2661, 538, 1114, 2694, 540, 519, 1158, 267, 1256, 538, 10792, 2175, 286, 3245, 3905, 24301, 547, 4411, 512, 1495, 6652, 267, 1142, 1604, 6799, 2189, 2591, 602, 2831, 1590, 7753, 547, 7639, 269, 901, 568, 1141, 3662, 9542, 2501, 883, 1404, 2439, 27154, 9542, 4016, 547, 519, 2242, 602, 2049, 538, 2371, 543, 2831, 936, 942, 267, 3850, 873, 547, 1732, 7639, 538, 741, 5054, 269, 1452, 14624, 616, 4719, 2242, 5293, 1524, 689, 835, 5108, 547, 1776, 269, 2913, 781, 2263, 930, 4277, 1806, 540, 3662, 14624, 1927, 2439, 5331, 2713, 538, 513, 1747, 1141, 621, 4991, 5393, 4411, 1282, 5162, 267, 609, 5210, 21177, 2630, 4642, 5232, 269, 2334, 4992, 7543, 267, 1318, 286, 1809, 1705, 596, 917, 602, 972, 616, 2965, 2831, 602, 1289, 891, 535, 3419, 573, 4025, 1753, 286, 21069, 12217, 267, 818, 8157, 29372, 267, 543, 32463, 723, 782, 9862, 547, 7639, 538, 971, 3665, 16374, 269, 1280, 3236, 267, 8701, 12217, 723, 5394, 6106, 540, 1560, 3170, 543, 28890, 9663, 602, 1202, 3634, 873, 1996, 519, 4411, 269, 1358, 849, 723, 1804, 3952, 602, 948, 873, 3802, 593, 4672, 543, 6968, 20910, 267, 799, 616, 741, 3119, 2707, 540, 1426, 780, 3086, 1577, 781, 1589, 827, 519, 6587, 9183, 910, 1360, 3905, 543, 3819, 5054, 899, 24301, 269, 6682, 1564, 616, 4241, 7068, 1317, 789, 723, 7960, 547, 8853, 538, 9390, 2175, 269, 4256, 1208, 1186, 4558, 3170, 267, 3246, 1648, 950, 1426, 568, 17077, 269, 3958, 267, 4342, 1564, 723, 1279, 7953, 602, 1832, 741, 4703, 2484, 2614, 2476, 689, 519, 3905, 5070, 1247, 6972, 269, 6271, 5863, 4183, 540, 4342, 1564, 568, 741, 2702, 547, 18359, 1216, 269, 1879, 2556, 267, 4342, 1564, 666, 979, 909, 547, 1896, 4374, 1510, 6704, 1216, 2439, 15919, 267, 3003, 2249, 14897, 1813, 547, 2825, 2242, 610, 824, 2188, 269, 1717, 267, 1007, 3283, 949, 10836, 998, 12105, 3157, 269, 6875, 267, 585, 1383, 267, 519, 2013, 540, 1200, 7065, 1670, 2249, 630, 516, 696, 3796, 543, 27738, 264, 538, 6628, 543, 2342, 1310, 519, 2063, 10979, 6520, 269, 1306, 519, 2916, 3636, 539, 909, 267, 1082, 16277, 850, 543, 19917, 1014, 5095, 2968, 17255, 269, 1715, 2249, 1287, 28953, 689, 7013, 4525, 543, 3576, 741, 1747, 267, 8108, 1018, 3744, 3277, 547, 607, 834, 19640, 5736, 257, 1200, 7065, 1670, 2950, 780, 1103, 3932, 267, 3662, 14624, 13686, 2470, 781, 6909, 5876, 543, 30840, 269, 1635, 8429, 1524, 15028, 7592, 2066, 5481, 267, 2831, 2333, 741, 8458, 540, 6668, 5103, 4657, 5054, 269, 4197, 3662, 14624, 2337, 721, 5660, 938, 4541, 781, 3638, 9265, 543, 11942, 3743, 19642, 2509, 922, 11091, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 972, 1433, 543, 3046, 547, 4163, 17355, 18050, 676, 1480, 1004, 269, 7490, 1711, 519, 3811, 3173, 547, 1129, 25019, 17400, 657, 952, 1022, 543, 844, 518, 6403, 721, 267, 649, 3513, 17949, 9205, 2833, 610, 6703, 827, 269, 9546, 27926, 6997, 338, 5978, 4238, 540, 3346, 31245, 282, 8232, 9773, 604, 269, 8738, 1221, 1480, 595, 7491, 282, 476, 276, 8076, 2487, 5301, 282, 476, 277, 4173, 7065, 1670, 15661, 607, 19232, 14535, 16652, 2413, 268, 5028, 282, 476, 278, 6237, 15500, 14397, 1004, 538, 519, 6198, 540, 6628, 543, 2342, 282, 476, 279, 4320, 18963, 538, 519, 4173, 7065, 1993, 320, 10044, 540, 519, 5386, 540, 6628, 543, 2342, 282, 476, 280, 17105, 8544, 1127, 538, 519, 4173, 7065, 1993, 320, 684, 553, 540, 6628, 543, 2342, 267, 543, 3345, 3013, 7368, 282, 21426, 282, 4937, 12039, 282, 589, 282, 645, 282, 595, 282, 661, 282, 674, 282, 717, 282, 670, 282, 594, 282, 700, 282, 631, 282, 1259, 282, 1627, 282, 681, 282, 590, 282, 513, 1203, 5964, 282, 966, 269, 634, 1863, 1505, 610, 10979, 6520, 267, 606, 1020, 762, 7649, 540, 1210, 543, 1210, 20394, 18186, 5505, 267, 568, 11843, 676, 476, 274, 291, 2296, 8100, 543, 1753, 3436, 4609, 269, 634, 1433, 30605, 9936, 1436, 941, 519, 2985, 269, 10465, 1341, 28192, 32186, 2060, 2659, 269, 521, 5808, 2052, 29799, 513, 3126, 267, 20574, 654, 269, 5769, 3883, 5903, 15311, 3883, 6176, 281, 5808, 2052, 29799, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 17714, 3414, 519, 25578, 281, 4197, 1325, 1329, 7402, 12420, 692, 5331, 835, 3781, 596, 2811, 14084, 538, 5127, 267, 3168, 909, 693, 519, 6801, 3544, 707, 6885, 269, 22582, 267, 3388, 1472, 596, 6238, 547, 1745, 9490, 543, 14542, 269, 589, 6505, 1769, 25361, 707, 4055, 267, 543, 1354, 596, 917, 621, 267, 596, 1265, 3054, 13735, 998, 2230, 256, 1306, 596, 1413, 1524, 267, 596, 1294, 707, 1378, 1560, 1869, 14084, 538, 5127, 269, 1411, 2119, 547, 3458, 600, 267, 855, 1100, 3280, 2501, 856, 269, 3973, 267, 596, 8275, 602, 596, 616, 3068, 3562, 19904, 609, 606, 9813, 1373, 256, 16319, 17559, 267, 1318, 286, 1809, 1018, 952, 594, 5143, 596, 602, 930, 1004, 3409, 713, 814, 2965, 5949, 547, 873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1575, 547, 519, 3209, 634, 26302, 540, 595, 2120, 8822, 547, 22113, 799, 2990, 646, 6038, 3792, 1206, 269, 1548, 798, 596, 1589, 11479, 7009, 577, 731, 547, 1010, 1439, 269, 10434, 903, 909, 32523, 8329, 7494, 547, 1010, 5784, 593, 519, 1158, 1472, 1864, 267, 538, 513, 12572, 6073, 269, 631, 267, 522, 305, 267, 544, 19376, 7009, 577, 731, 568, 606, 856, 6361, 22086, 18720, 2389, 337, 1380, 518, 945, 4991, 26583, 693, 513, 2199, 4023, 543, 791, 6160, 1947, 23619, 1010, 7385, 19626, 543, 4816, 8250, 269, 7338, 10434, 344, 267, 513, 16972, 29787, 267, 1759, 1010, 2984, 593, 1995, 540, 3395, 909, 538, 6917, 667, 832, 564, 269, 16776, 281, 10434, 344, 595, 2120, 8822, 7439, 5142, 631, 551, 324, 6558, 10749, 5295, 995, 10749, 476, 13078, 276, 1913, 630, 276, 269, 280, 3817, 264, 2776, 1613, 910, 634, 10020, 540, 16635, 538, 634, 26302, 540, 595, 2120, 8822, 2290, 540, 519, 1034, 11495, 3344, 540, 634, 26302, 540, 595, 2120, 8822, 267, 585, 1383, 267, 568, 519, 1909, 540, 13037, 543, 519, 3197, 269, 1261, 568, 9308, 1507, 267, 30251, 543, 23406, 267, 6297, 543, 6417, 267, 4464, 3206, 267, 543, 1505, 673, 269, 898, 782, 5956, 835, 1554, 538, 519, 1804, 24380, 16303, 8498, 540, 1284, 11770, 517, 6261, 19144, 269, 4014, 10434, 344, 3096, 519, 9631, 23036, 2615, 2239, 1448, 6361, 268, 1613, 267, 585, 799, 3197, 1281, 646, 561, 8985, 883, 519, 3908, 9631, 23036, 2615, 267, 543, 1946, 888, 7628, 1010, 1279, 1272, 540, 476, 6434, 1296, 646, 5206, 19939, 9089, 543, 835, 8536, 9954, 269, 4432, 17131, 334, 6763, 593, 519, 8473, 689, 595, 328, 644, 611, 808, 675, 345, 267, 932, 8811, 340, 1695, 7699, 267, 6792, 269, 16776, 281, 2123, 8086, 543, 1995, 6153, 10749, 476, 276, 6078, 1913, 630, 272, 269, 276, 3817, 264, 2776, 1613, 910, 10965, 749, 630, 1960, 279, 264, 3081, 602, 519, 2165, 1412, 2958, 1308, 3209, 262, 4016, 547, 834, 12279, 602, 568, 1305, 538, 513, 25992, 3148, 267, 543, 799, 6257, 2934, 23243, 519, 1272, 267, 1514, 1894, 267, 9821, 267, 4654, 267, 13172, 11783, 589, 1362, 1227, 8032, 1650, 827, 519, 4473, 543, 2887, 540, 519, 2156, 5317, 543, 3006, 22266, 7812, 7009, 577, 731, 538, 519, 10792, 1158, 540, 13524, 10601, 6917, 4789, 267, 634, 26302, 540, 595, 2120, 8822, 568, 606, 30118, 1738, 1587, 540, 10434, 344, 781, 15657, 8686, 580, 5387, 267, 3196, 995, 267, 543, 796, 743, 3716, 539, 676, 2192, 16272, 563, 24171, 10434, 344, 5156, 3564, 519, 2168, 3693, 540, 1843, 267, 741, 6013, 513, 811, 1271, 12572, 2495, 269, 3399, 476, 4366, 6953, 712, 5131, 23632, 547, 1133, 6674, 269, 8564, 835, 3184, 540, 519, 3209, 824, 982, 1346, 538, 519, 6679, 834, 4148, 1662, 3724, 257, 543, 519, 3803, 3184, 267, 543, 2491, 922, 2956, 538, 2474, 540, 519, 1646, 540, 4729, 543, 1915, 269, 16776, 281, 3594, 1382, 4574, 535, 322, 5295, 995, 10749, 476, 5197, 274, 1913, 630, 276, 269, 273, 3817, 264, 2776, 1613, 910, 17553, 538, 519, 26302, 2986, 595, 2120, 8822, 676, 7338, 10434, 344, 634, 26302, 540, 595, 2120, 8822, 568, 1305, 538, 16910, 17998, 267, 2687, 547, 922, 10923, 4087, 267, 543, 1082, 1713, 2621, 2049, 538, 519, 1857, 8075, 269, 1879, 7812, 8452, 538, 595, 2120, 8822, 646, 729, 513, 1412, 30394, 2284, 2006, 18720, 2389, 337, 1380, 518, 9538, 3245, 713, 2990, 646, 7307, 547, 960, 593, 1010, 4567, 29247, 7713, 875, 2394, 646, 729, 513, 5939, 1189, 523, 267, 4012, 626, 3433, 543, 519, 4884, 269, 1809, 1018, 666, 513, 812, 945, 814, 1100, 1983, 824, 982, 18720, 959, 1380, 532, 269, 1548, 568, 707, 5114, 547, 741, 2833, 269, 16776, 281, 7338, 10434, 344, 267, 4589, 267, 14568, 10749, 476, 6507, 273, 1913, 630, 273, 269, 273, 3817, 264, 2776, 1613, 910, 25925, 2482, 711, 538, 519, 3364, 267, 855, 538, 1018, 519, 3364, 3090, 1242, 269, 1261, 729, 4535, 538, 476, 7277, 271, 543, 5747, 538, 476, 4572, 279, 693, 519, 2085, 269, 2060, 519, 2810, 1379, 540, 2021, 1282, 519, 16972, 16527, 267, 10434, 344, 5932, 2367, 945, 616, 538, 513, 1533, 540, 5605, 2526, 775, 827, 741, 14920, 282, 789, 2901, 3914, 585, 519, 1134, 2914, 1941, 8305, 9189, 540, 519, 834, 2006, 569, 257, 812, 267, 610, 789, 3801, 547, 2263, 741, 1378, 7294, 4664, 267, 6213, 563, 9515, 568, 2407, 540, 621, 267, 1352, 29908, 621, 267, 1352, 19380, 269, 769, 713, 17440, 267, 594, 786, 581, 7234, 7009, 577, 731, 781, 7209, 267, 543, 519, 4128, 585, 1010, 1967, 543, 1010, 21324, 538, 1272, 269, 10434, 344, 14405, 10787, 325, 571, 324, 607, 7009, 577, 1841, 11218, 538, 1169, 1259, 563, 290, 761, 1664, 540, 1603, 12819, 3594, 3915, 546, 3315, 454, 1320, 9722, 5288, 3860, 3206, 1557, 0, 272, 1862, 476, 273, 1862, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 454, 2171, 616, 711, 2469, 547, 1413, 693, 9184, 331, 1155, 610, 1451, 1022, 8964, 2221, 269, 1284, 616, 2469, 547, 1451, 606, 1935, 547, 3384, 513, 5748, 5578, 538, 606, 1858, 602, 782, 5716, 1590, 581, 13533, 540, 269, 5384, 15209, 543, 11733, 2483, 921, 848, 1810, 1405, 4734, 2943, 269, 594, 10018, 811, 982, 3368, 540, 596, 723, 1631, 8854, 269, 14298, 267, 1631, 649, 723, 3893, 7759, 540, 519, 942, 342, 7539, 267, 1577, 781, 2482, 519, 5748, 563, 11742, 5329, 568, 2731, 2352, 585, 14987, 543, 11733, 568, 513, 1966, 585, 10827, 919, 2356, 1317, 713, 606, 1858, 602, 568, 16053, 693, 519, 2038, 5933, 267, 2760, 4628, 6045, 610, 8268, 676, 513, 20131, 267, 610, 1945, 602, 1034, 1004, 798, 711, 4225, 1317, 782, 519, 1445, 568, 593, 519, 31361, 1154, 1688, 269, 898, 1281, 711, 1205, 519, 3978, 7156, 593, 1034, 596, 32353, 18862, 543, 18367, 569, 972, 568, 2484, 1932, 1454, 547, 1589, 827, 607, 513, 6345, 547, 2322, 513, 1293, 538, 936, 519, 1283, 2483, 529, 899, 6031, 972, 568, 1932, 1454, 547, 1589, 827, 950, 10941, 532, 856, 540, 519, 5397, 267, 3168, 538, 519, 15493, 2070, 11604, 568, 1175, 835, 1932, 1082, 1919, 547, 723, 547, 798, 563, 5503, 5329, 267, 568, 519, 4626, 564, 762, 540, 2575, 269, 6657, 593, 713, 5170, 2429, 707, 7574, 1646, 693, 1169, 1377, 269, 1411, 666, 1405, 1118, 2575, 1510, 11733, 269, 621, 3085, 1405, 2291, 269, 1703, 568, 2575, 1510, 23964, 543, 2575, 1510, 10103, 267, 2575, 1510, 18369, 855, 1100, 2575, 1510, 11733, 543, 596, 666, 1405, 1711, 513, 11733, 1510, 942, 15209, 269, 634, 1259, 649, 1832, 942, 538, 2575, 568, 609, 519, 18688, 2969, 454, 5575, 594, 1616, 547, 1118, 513, 11984, 1063, 1412, 1492, 10726, 262, 543, 1412, 337, 20263, 23823, 1405, 515, 10726, 262, 568, 519, 8743, 532, 9219, 540, 2575, 269, 2142, 1846, 616, 18886, 538, 2516, 540, 476, 275, 269, 1142, 1895, 540, 476, 275, 568, 1572, 513, 645, 2752, 563, 272, 476, 273, 476, 274, 476, 275, 454, 6776, 547, 322, 512, 545, 547, 322, 454, 1492, 10726, 2501, 689, 519, 14941, 1067, 269, 1411, 1522, 581, 6947, 547, 519, 13176, 626, 855, 519, 13176, 626, 568, 6947, 547, 519, 14941, 1067, 269, 634, 10726, 568, 899, 519, 7470, 1899, 593, 513, 4786, 269, 621, 1418, 3278, 519, 7574, 5251, 269, 1411, 917, 1141, 596, 616, 950, 596, 1118, 519, 10726, 519, 5748, 540, 707, 4730, 269, 1411, 616, 707, 1378, 14941, 1067, 563, 1607, 1101, 5152, 568, 606, 5140, 1383, 540, 875, 513, 9788, 3724, 267, 2241, 14941, 10726, 666, 581, 519, 3501, 1259, 547, 1832, 513, 5152, 9240, 8221, 269, 634, 6946, 18819, 782, 2097, 689, 519, 824, 7405, 563, 272, 1299, 476, 273, 1299, 476, 274, 1299, 476, 275, 1299, 454, 289, 817, 10965, 732, 30464, 10965, 732, 454, 20584, 804, 777, 3723, 804, 777, 454, 15575, 532, 856, 10978, 269, 570, 6260, 707, 3723, 593, 20054, 476, 272, 1299, 476, 274, 267, 804, 6260, 707, 3946, 593, 476, 273, 1299, 476, 275, 269, 898, 781, 3833, 513, 3500, 1293, 865, 10912, 856, 519, 1299, 1063, 519, 20054, 8952, 596, 689, 23960, 269, 634, 3483, 540, 942, 5329, 568, 711, 547, 581, 519, 16595, 269, 898, 568, 547, 15222, 1047, 1169, 5716, 2773, 883, 513, 9322, 540, 3280, 1142, 6345, 9148, 532, 519, 824, 2864, 982, 17591, 532, 1142, 824, 454, 305, 20263, 568, 519, 4806, 540, 7574, 2621, 602, 7718, 919, 519, 10726, 267, 899, 513, 18110, 2849, 572, 3009, 602, 2760, 19380, 621, 781, 1719, 269, 621, 1419, 12662, 8561, 1063, 519, 20054, 543, 568, 711, 2141, 5129, 593, 519, 27120, 563, 338, 2775, 569, 5488, 1631, 269, 19415, 547, 519, 18369, 693, 519, 4367, 269, 519, 11733, 5129, 568, 7368, 538, 1169, 3046, 269, 519, 512, 3711, 712, 710, 1299, 2879, 732, 568, 593, 519, 476, 273, 1299, 476, 275, 269, 519, 476, 273, 526, 543, 476, 275, 628, 20054, 540, 519, 3046, 616, 1572, 519, 1394, 2041, 1846, 269, 634, 1394, 18566, 568, 519, 4493, 540, 782, 519, 1434, 2575, 649, 6432, 547, 563, 29909, 519, 1482, 11733, 713, 942, 621, 568, 519, 27120, 602, 20054, 856, 519, 11733, 607, 1134, 563, 15578, 2910, 7419, 307, 5442, 454, 4777, 596, 1293, 3054, 538, 1354, 596, 1376, 4730, 286, 634, 1293, 538, 568, 12995, 856, 540, 1034, 19827, 269, 4634, 950, 596, 1404, 21088, 621, 3947, 596, 513, 4960, 547, 9794, 519, 3432, 543, 7017, 538, 547, 519, 11733, 1354, 596, 5734, 519, 1101, 1524, 560, 6593, 593, 519, 12673, 563, 25594, 519, 1293, 540, 476, 272, 476, 273, 476, 274, 476, 275, 607, 519, 2575, 10953, 269, 901, 1293, 2115, 547, 581, 18284, 3388, 596, 798, 563, 8196, 519, 1293, 2987, 543, 1832, 519, 1293, 2469, 607, 596, 6432, 610, 1404, 269, 594, 899, 519, 14646, 561, 3317, 517, 3950, 585, 4466, 519, 476, 272, 560, 10726, 540, 519, 3046, 269, 621, 568, 865, 7986, 269, 898, 568, 3730, 547, 2638, 538, 609, 519, 1293, 1169, 476, 272, 560, 10726, 269, 1403, 707, 1293, 1281, 711, 6474, 519, 824, 22407, 596, 786, 917, 827, 621, 593, 519, 476, 272, 560, 10726, 563, 1607, 568, 519, 3432, 693, 799, 596, 1404, 267, 6027, 538, 20054, 829, 8792, 645, 15014, 269, 898, 568, 1419, 519, 10862, 540, 14987, 547, 6474, 519, 32171, 540, 513, 19463, 10916, 607, 513, 11973, 540, 1967, 563, 10673, 1405, 1205, 803, 4636, 267, 519, 3432, 568, 513, 4105, 3693, 538, 1818, 513, 19463, 4062, 540, 2575, 1018, 621, 568, 269, 898, 781, 1175, 782, 519, 824, 2609, 594, 2015, 547, 581, 1256, 811, 4105, 269, 17726, 1281, 18645, 6923, 609, 513, 2773, 602, 814, 942, 15209, 2864, 982, 32171, 607, 513, 10862, 563, 2026, 513, 19444, 596, 616, 17935, 547, 1852, 707, 3432, 543, 1832, 513, 2638, 593, 707, 10231, 269, 1306, 606, 13591, 596, 616, 17935, 547, 3337, 519, 11733, 543, 1577, 621, 1217, 543, 3468, 519, 2575, 596, 1404, 269, 1306, 513, 3318, 707, 1445, 568, 547, 1577, 979, 540, 782, 891, 1919, 543, 1175, 1577, 519, 2182, 960, 596, 723, 2322, 538, 547, 1142, 3942, 798, 621, 781, 2816, 269, 1863, 519, 15747, 6345, 689, 519, 991, 547, 4383, 942, 267, 1863, 532, 873, 547, 1445, 593, 519, 1745, 543, 2769, 2032, 540, 741, 2773, 267, 899, 519, 9909, 596, 723, 540, 16678, 14812, 1247, 596, 5397, 1753, 538, 519, 4764, 267, 13533, 540, 519, 4155, 267, 855, 6862, 13026, 676, 621, 267, 707, 2247, 568, 1863, 547, 32603, 543, 602, 568, 1018, 2575, 568, 547, 803, 2483, 1492, 2247, 267, 29595, 538, 3280, 269, 589, 1893, 1510, 1913, 267, 6027, 856, 538, 942, 563, 296, 1810, 1405, 1589, 942, 15209, 12204, 3294, 856, 269, 6145, 1169, 824, 3693, 538, 2575, 1818, 621, 2154, 2259, 543, 31667, 531, 269, 1412, 18314, 2451, 3952, 262, 899, 1412, 339, 821, 18555, 262, 568, 8806, 513, 16075, 602, 519, 5551, 5578, 1377, 814, 2943, 547, 581, 6913, 2864, 982, 930, 10715, 5868, 540, 513, 22420, 2783, 799, 1034, 1004, 1521, 621, 607, 563, 296, 1589, 2300, 4926, 18645, 950, 519, 1259, 4464, 568, 17808, 269, 901, 3992, 786, 711, 581, 2614, 269, 1809, 621, 786, 23248, 12235, 811, 1769, 5196, 519, 1641, 269, 898, 568, 519, 840, 21232, 566, 540, 1256, 519, 5207, 1377, 540, 2575, 2069, 269, 1411, 1616, 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 ]
[ 563, 3849, 328, 3474, 9366, 2107, 1275, 5288, 269, 17402, 281, 5808, 1936, 919, 519, 1650, 540, 519, 17455, 822, 553, 543, 519, 918, 879, 9545, 553, 286, 1548, 568, 519, 4259, 585, 519, 32538, 286, 10576, 875, 713, 1650, 568, 5143, 543, 922, 2796, 563, 2710, 596, 1294, 1022, 19320, 1063, 519, 12556, 540, 623, 926, 802, 527, 267, 519, 25752, 547, 519, 17455, 822, 553, 267, 543, 519, 12556, 540, 570, 6545, 10440, 267, 519, 13131, 945, 7166, 623, 926, 802, 527, 286, 630, 295, 842, 281, 596, 786, 991, 547, 1224, 998, 547, 519, 1439, 540, 519, 12473, 547, 1589, 827, 713, 2243, 26695, 1692, 798, 519, 4332, 6386, 540, 519, 9030, 3197, 4196, 547, 1305, 519, 3942, 585, 519, 12473, 12416, 888, 16521, 513, 1915, 543, 2303, 875, 1010, 17017, 8129, 22509, 17495, 578, 1010, 17017, 1909, 538, 519, 7766, 1650, 563, 306, 629, 3873, 3474, 9366, 674, 622, 5288, 269, 5274, 12096, 2225, 281, 5637, 20144, 4135, 541, 30773, 543, 962, 644, 7290, 327, 4275, 1404, 1271, 2694, 538, 4412, 2454, 2621, 4464, 4724, 4655, 269, 16393, 789, 723, 19500, 6382, 286, 1548, 568, 621, 827, 741, 3197, 602, 2306, 873, 13789, 607, 789, 798, 286, 1215, 798, 789, 2491, 519, 3123, 540, 741, 1378, 32252, 14613, 286, 5901, 519, 2093, 540, 968, 325, 622, 892, 5288, 269, 968, 16058, 2887, 2225, 892, 538, 2247, 2429, 519, 6648, 607, 596, 5659, 3197, 543, 741, 18144, 270, 13905, 563, 1432, 2609, 616, 1713, 1369, 519, 1650, 540, 667, 7795, 338, 553, 3570, 779, 3801, 547, 771, 549, 2041, 19537, 1575, 14508, 286, 769, 519, 3476, 4528, 540, 519, 6648, 621, 568, 1500, 2312, 602, 19537, 1575, 14508, 568, 14108, 908, 693, 519, 942, 713, 10071, 7018, 269, 1548, 1281, 713, 1249, 1039, 547, 938, 7664, 286, 21302, 19537, 1575, 14508, 779, 1915, 563, 6635, 1415, 10440, 3474, 9366, 6333, 519, 7237, 1063, 1473, 571, 543, 10127, 3534, 269, 1548, 798, 649, 1451, 827, 10127, 3534, 689, 713, 1650, 888, 309, 597, 1092, 3474, 9366, 1703, 4667, 547, 581, 513, 2186, 540, 7954, 602, 1754, 985, 519, 24320, 2478, 7550, 676, 519, 17455, 822, 553, 543, 19537, 1575, 14508, 286, 2052, 596, 2303, 1018, 621, 568, 286, 2334, 568, 267, 1946, 798, 519, 3197, 9772, 519, 24320, 2478, 789, 798, 888, 2005, 1522, 581, 1767, 602, 519, 3003, 5164, 1092, 3474, 9366, 568, 3710, 2390, 513, 3126, 540, 538, 951, 687, 610, 10941, 1023, 540, 1919, 1336, 11992, 538, 519, 12473, 269, 2052, 596, 1683, 1022, 2963, 602, 713, 568, 865, 888, 2691, 918, 545, 10440, 12387, 3949, 19537, 1575, 14508, 267, 1352, 22587, 547, 13225, 9874, 269, 4208, 286, 2052, 596, 1921, 519, 2621, 538, 713, 12558, 547, 6252, 10207, 11992, 538, 519, 12473, 888, 308, 11276, 7541, 3474, 9366, 1488, 329, 10044, 543, 30730, 2408, 547, 723, 513, 2027, 2078, 269, 6496, 519, 6429, 538, 799, 1312, 667, 1722, 617, 327, 3570, 543, 1488, 329, 10044, 979, 547, 30730, 779, 5127, 2515, 948, 596, 1294, 713, 538, 513, 1007, 1769, 286, 6056, 827, 713, 2243, 538, 1769, 540, 519, 5259, 2856, 540, 968, 326, 617, 268, 12516, 21087, 1143, 3034, 2691, 30730, 6645, 10127, 3534, 540, 1010, 3020, 737, 29023, 267, 1946, 3085, 1406, 519, 8545, 979, 936, 547, 519, 17455, 822, 553, 543, 4339, 585, 873, 888, 289, 11297, 320, 3474, 9366, 4208, 4465, 1406, 645, 11297, 320, 4339, 31881, 8518, 514, 286, 1215, 1281, 1488, 329, 10044, 946, 713, 547, 1010, 5413, 286, 6744, 1394, 547, 2985, 476, 12893, 268, 14056, 630, 308, 11276, 7541, 3474, 9366, 264, 585, 519, 1650, 563, 291, 1258, 320, 3474, 9366, 4208, 1281, 10127, 3534, 946, 519, 521, 752, 16210, 14049, 593, 717, 1002, 582, 330, 20403, 286, 1548, 616, 519, 4539, 540, 1010, 2962, 1934, 286, 6496, 713, 7866, 547, 721, 1022, 3992, 827, 10127, 3534, 779, 968, 16058, 2887, 4850, 892, 888, 298, 16194, 3534, 568, 1572, 968, 763, 23942, 4643, 1676, 892, 968, 763, 5019, 10725, 540, 12484, 826, 892, 1772, 30730, 1934, 16944, 540, 13587, 527, 995, 2623, 286, 1403, 9811, 267, 875, 666, 713, 581, 3020, 540, 5601, 1651, 7568, 622, 888, 298, 541, 3534, 3474, 9366, 7316, 568, 519, 3666, 540, 16495, 538, 519, 1793, 11691, 540, 667, 7795, 338, 553, 3570, 676, 13225, 9874, 286, 1772, 20947, 811, 15626, 982, 519, 3009, 540, 519, 24116, 286, 1403, 13225, 9874, 568, 835, 540, 519, 2048, 16591, 16921, 685, 616, 649, 9277, 547, 2697, 609, 1010, 7805, 561, 755, 585, 1973, 888, 1432, 3126, 540, 1991, 2621, 17736, 790, 547, 1291, 547, 519, 14710, 540, 10127, 3534, 676, 1488, 329, 10044, 286, 2060, 7247, 798, 596, 2697, 538, 713, 12558, 888, 306, 3315, 320, 3474, 9366, 1548, 1281, 13225, 9874, 779, 1793, 11691, 540, 667, 1722, 617, 327, 3570, 2303, 827, 1318, 2962, 286, 3807, 1018, 568, 1318, 286, 1548, 568, 16495, 286, 5808, 568, 519, 811, 3501, 24116, 1934, 888, 3674, 13225, 9874, 779, 2601, 585, 642, 3188, 766, 4570, 888, 2026, 341, 3139, 3873, 3474, 9366, 12984, 30730, 967, 27075, 547, 519, 12556, 540, 519, 918, 879, 9545, 553, 286, 1403, 865, 267, 875, 666, 646, 2161, 646, 1568, 585, 519, 11091, 540, 16495, 888, 300, 1695, 777, 6652, 22474, 11986, 3474, 9366, 1548, 1281, 962, 644, 7290, 327, 4275, 779, 2648, 585, 1010, 1920, 2161, 827, 519, 1259, 547, 1291, 513, 4075, 6681, 1272, 286, 3657, 5837, 3652, 8471, 267, 610, 616, 789, 28653, 676, 737, 29023, 888, 6097, 547, 9699, 2245, 267, 596, 5884, 543, 979, 547, 22946, 610, 13140, 267, 855, 596, 798, 711, 2611, 538, 2901, 540, 891, 4025, 11014, 269, 634, 2856, 540, 521, 4461, 4673, 31433, 513, 11173, 4783, 540, 4332, 11546, 987, 3146, 19689, 269, 634, 1152, 1259, 547, 3035, 3020, 8788, 568, 547, 1205, 856, 540, 713, 4783, 15587, 676, 1140, 8724, 544, 758, 3333, 320, 269, 4208, 1590, 519, 17455, 822, 553, 3643, 22946, 538, 713, 3296, 286, 0, 13436, 1543, 568, 849, 2139, 538, 519, 9977, 15484, 18145, 813, 269, 634, 4116, 666, 946, 519, 1592, 547, 2953, 519, 1184, 865, 602, 707, 1126, 666, 4194, 519, 1966, 538, 519, 2104, 269, 634, 3211, 538, 713, 7121, 782, 1445, 1472, 519, 14812, 269, 5441, 2565, 3206, 1983, 31955, 2565, 3206, 1983, 2565, 3594, 1806, 30237, 673, 3594, 593, 8377, 13663, 1557, 4367, 16720, 330, 25719, 12031, 269, 11334, 2648, 1210, 891, 1187, 9251, 3211, 547, 7110, 741, 2038, 6689, 2069, 3292, 269, 5530, 2983, 2131, 849, 3091, 513, 3406, 762, 269, 901, 19595, 707, 1126, 602, 2979, 568, 513, 1184, 563, 27650, 6780, 948, 3504, 26131, 27650, 6780, 948, 3504, 26131, 1655, 1863, 3860, 1603, 6030, 269, 3503, 513, 3210, 1957, 2237, 513, 3210, 1957, 2259, 3860, 1603, 585, 3214, 1382, 1957, 3584, 593, 4008, 543, 9194, 11359, 3446, 1966, 6061, 2055, 2489, 4640, 585, 1966, 6061, 10763, 1557, 19875, 1806, 1596, 1170, 800, 4063, 7084, 1106, 476, 279, 1883, 2609, 540, 513, 1870, 1544, 9547, 2501, 689, 4543, 1866, 3594, 3257, 707, 6780, 519, 1360, 2063, 2034, 10839, 3268, 547, 1603, 606, 1557, 476, 275, 628, 3446, 2893, 2259, 1557, 1449, 4070, 3549, 1870, 4566, 875, 547, 9959, 513, 3332, 2689, 1806, 2653, 1259, 547, 2328, 513, 1870, 1544, 3732, 3594, 593, 7130, 543, 14882, 1286, 28616, 20649, 517, 3594, 602, 5249, 6128, 2565, 3206, 2055, 588, 795, 25296, 5605, 592, 766, 1101, 5351, 693, 960, 6030, 6169, 1348, 1557, 1957, 585, 1863, 8878, 540, 513, 25719, 12031, 552, 935, 6780, 948, 619, 267, 1870, 6725, 4640, 1544, 10959, 8380, 1927, 513, 1870, 1544, 14133, 875, 547, 2328, 513, 2596, 1382, 1957, 7291, 3123, 1775, 3494, 538, 3594, 6128, 2565, 3206, 2055, 4444, 1557, 593, 17539, 24563, 336, 1557, 593, 519, 2868, 12151, 536, 10667, 6280, 1557, 5401, 269, 8342, 7801, 3817, 827, 519, 9904, 267, 2831, 267, 5432, 3615, 267, 543, 811, 256, 1924, 1835, 1678, 909, 519, 20787, 691, 950, 596, 2811, 14921, 8454, 256, 19837, 10488, 11760, 618, 5439, 291, 1170, 10488, 11760, 618, 5439, 875, 547, 2328, 513, 2596, 1382, 1957, 7291, 519, 6780, 19701, 2754, 2232, 1148, 540, 1966, 6061, 7223, 991, 948, 609, 1557, 5283, 20860, 1966, 6061, 1983, 1806, 585, 5967, 12819, 1557, 3584, 585, 2852, 1557, 10081, 8804, 2754, 1870, 1544, 7223, 6780, 25961, 1244, 539, 2962, 1382, 11556, 1383, 269, 901, 1223, 1331, 513, 2979, 1966, 646, 1705, 538, 1362, 610, 513, 3732, 2979, 1966, 689, 513, 1837, 602, 2882, 519, 2626, 269, 9578, 267, 609, 741, 596, 666, 1118, 707, 1378, 2979, 543, 6863, 15460, 267, 543, 609, 741, 596, 666, 1118, 513, 2262, 26545, 1076, 610, 2262, 3406, 602, 2337, 3214, 1451, 741, 10259, 1592, 538, 1187, 2081, 269, 2368, 540, 519, 1292, 3283, 616, 2073, 2073, 2073, 29890, 267, 11810, 267, 2073, 543, 5506, 563, 4517, 2015, 713, 281, 2090, 723, 3254, 602, 519, 851, 540, 519, 2634, 602, 568, 1031, 547, 4194, 6310, 2042, 568, 25623, 676, 8106, 2575, 269, 3371, 616, 930, 10372, 585, 16042, 2979, 6780, 609, 707, 1126, 269, 4132, 6057, 1382, 1957, 7291, 1870, 2825, 4879, 4346, 1557, 4367, 4214, 540, 1967, 1557, 5439, 269, 6201, 540, 513, 1434, 1557, 5098, 269, 3194, 1957, 11556, 5250, 10932, 1957, 11556, 5250, 28258, 2232, 7084, 20743, 875, 547, 2328, 513, 1957, 585, 2852, 538, 16643, 610, 15986, 3898, 3119, 6780, 948, 3504, 26131, 2185, 5933, 540, 1870, 4058, 1184, 1863, 1557, 1603, 2645, 1557, 827, 1604, 838, 332, 4416, 2880, 1557, 16311, 23602, 3771, 10542, 1870, 1153, 7580, 1544, 1806, 540, 2239, 1557, 16643, 2511, 875, 547, 4194, 2042, 538, 519, 9036, 1946, 616, 1004, 1996, 519, 1153, 10571, 3009, 1557, 2628, 2576, 547, 2328, 513, 1957, 585, 1153, 267, 1455, 813, 1557, 5401, 2262, 3970, 563, 2791, 949, 2907, 723, 513, 18960, 11422, 8704, 593, 713, 2780, 269, 16373, 1382, 11556, 1888, 2609, 540, 1870, 1544, 14453, 3860, 1603, 693, 6280, 540, 544, 747, 10247, 1383, 540, 1603, 513, 1382, 1957, 538, 16643, 2511, 513, 1434, 2852, 1557, 3732, 827, 11176, 20649, 517, 12031, 31776, 596, 32353, 3332, 2689, 6881, 12703, 1007, 1158, 1557, 20649, 517, 12031, 31776, 1383, 540, 513, 1966, 3948, 538, 513, 1382, 1957, 10959, 22007, 639, 1870, 4566, 28492, 2228, 3732, 540, 2797, 2257, 1382, 11556, 1382, 1957, 875, 547, 1376, 1863, 2852, 10343, 3594, 267, 875, 547, 1826, 513, 1382, 1957, 538, 15986, 3898, 6067, 3732, 3594, 6060, 476, 277, 9486, 2645, 585, 3860, 1603, 9486, 2645, 585, 3860, 1603, 875, 547, 1376, 1055, 513, 1434, 2852, 1557, 476, 1428, 1957, 1382, 1957, 593, 12335, 269, 1284, 798, 711, 2344, 547, 610, 2709, 2533, 547, 2043, 538, 519, 3864, 5742, 269, 7201, 6365, 568, 513, 18758, 11036, 269, 1411, 949, 4647, 519, 5767, 4528, 540, 519, 1863, 1934, 269, 8342, 3211, 585, 3450, 2596, 2681, 6284, 543, 5355, 5386, 5179, 1983, 269, 966, 1513, 640, 570, 12781, 1281, 711, 723, 30901, 609, 9945, 5018, 593, 922, 3896, 563, 1607, 3896, 2488, 1344, 540, 513, 2489, 2470, 543, 568, 2966, 585, 1344, 543, 3872, 5301, 1152, 543, 1281, 711, 13822, 2564, 610, 3656, 5796, 269, 10812, 513, 3099, 540, 16439, 267, 12297, 3562, 1673, 582, 267, 2759, 7146, 1790, 4292, 2238, 267, 543, 811, 256, 3143, 4976, 610, 6712, 23476, 568, 547, 581, 18799, 593, 267, 23345, 547, 267, 610, 6740, 593, 1022, 824, 1357, 3135, 267, 5816, 267, 8468, 267, 3758, 4687, 267, 2780, 267, 3758, 4859, 3926, 267, 3092, 269, 4855, 936, 476, 1428, 3211, 2966, 547, 3895, 3206, 543, 1966, 6061, 269, 9752, 1557, 1603, 2994, 476, 2190, 476, 278, 6780, 948, 1863, 13119, 3332, 2689, 2835, 538, 3594, 896, 1467, 269, 25849, 532, 13691, 10569, 547, 8301, 1852, 536, 321, 336, 13962, 1870, 1544, 3732, 1383, 540, 7291, 540, 1382, 1957, 267, 1018, 568, 519, 1101, 1900, 538, 1966, 6061, 28581, 20898, 1603, 1957, 585, 3214, 563, 763, 3135, 3091, 811, 982, 476, 276, 267, 10384, 1863, 7044, 6394, 689, 1585, 4081, 5238, 538, 476, 1724, 1641, 2127, 267, 1519, 7223, 267, 9511, 267, 11810, 267, 3618, 2257, 267, 7350, 267, 6323, 267, 1686, 267, 543, 2296, 269, 9012, 17752, 30931, 616, 11262, 676, 519, 9757, 2923, 19093, 543, 616, 711, 28337, 609, 966, 1513, 640, 570, 12781, 269, 19837, 10488, 10274, 291, 1170, 10488, 10274, 1876, 7084, 4214, 875, 547, 2328, 4282, 540, 519, 1353, 538, 1382, 11556, 3993, 751, 25564, 1557 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21411, 517, 14765, 16927, 933, 8403, 267, 568, 593, 2594, 6031, 281, 968, 21798, 540, 9467, 1369, 543, 3544, 4000, 568, 1932, 1164, 609, 29388, 554, 15781, 593, 476, 31973, 2600, 543, 476, 12573, 2600, 6606, 1421, 1403, 713, 568, 711, 9619, 621, 786, 581, 2352, 547, 4890, 1047, 513, 1434, 6388, 540, 519, 2279, 290, 10499, 288, 9731, 763, 3979, 25550, 5131, 11780, 9351, 630, 17682, 290, 10499, 288, 264, 568, 9277, 547, 581, 4000, 779, 2626, 547, 519, 9167, 282, 4000, 779, 1863, 4123, 1858, 269, 12878, 2082, 538, 476, 1001, 279, 267, 519, 10512, 5123, 729, 9250, 538, 5147, 476, 1001, 280, 543, 9467, 896, 519, 6876, 3459, 538, 5130, 476, 1708, 272, 269, 898, 27057, 814, 476, 5379, 5428, 2818, 2066, 519, 11782, 267, 543, 513, 1906, 1129, 14898, 563, 763, 2136, 8315, 10985, 593, 11780, 543, 4886, 630, 7419, 6311, 4696, 264, 9193, 519, 2279, 290, 10499, 288, 1223, 1711, 513, 1269, 274, 18265, 8473, 1652, 2344, 543, 5818, 12499, 5025, 325, 878, 534, 4123, 676, 476, 3451, 2600, 269, 634, 22558, 293, 267, 538, 922, 1957, 11331, 968, 307, 8565, 16949, 538, 4000, 281, 1133, 548, 4770, 519, 2552, 5799, 779, 15783, 538, 513, 21744, 2622, 5608, 6257, 519, 3014, 19145, 2360, 1697, 6388, 540, 2279, 290, 10499, 288, 1223, 3142, 827, 269, 1358, 3589, 602, 1804, 20214, 538, 29388, 676, 476, 3445, 2600, 543, 1875, 30198, 858, 3800, 630, 18199, 16039, 264, 676, 476, 2004, 2600, 1223, 2333, 519, 11667, 25584, 4123, 2095, 1063, 3979, 2477, 676, 476, 1428, 2600, 543, 11667, 1483, 12654, 829, 21027, 676, 476, 272, 269, 1839, 2600, 269, 3465, 1836, 267, 1104, 29388, 1369, 4000, 3328, 909, 547, 476, 277, 2600, 267, 607, 10353, 547, 18923, 476, 272, 2600, 538, 519, 6789, 292, 3198, 4123, 1025, 665, 267, 827, 476, 271, 269, 273, 2600, 538, 1312, 19364, 10499, 288, 543, 519, 3162, 1977, 631, 2207, 26714, 7838, 4123, 1858, 267, 543, 4642, 2600, 538, 519, 9167, 563, 8448, 1875, 30198, 858, 3800, 630, 18199, 16039, 264, 949, 849, 17225, 4123, 269, 1452, 616, 693, 7308, 31215, 3609, 7496, 547, 4123, 824, 982, 29388, 971, 607, 1104, 543, 13143, 27121, 267, 3902, 8060, 267, 610, 32301, 3604, 269, 634, 22558, 293, 9193, 602, 891, 616, 519, 6697, 540, 606, 476, 1240, 2600, 1104, 13545, 858, 593, 3328, 2066, 4000, 269, 1358, 616, 513, 15410, 540, 1875, 30198, 858, 7496, 630, 18199, 24871, 1070, 799, 949, 1331, 824, 4155, 4565, 4169, 971, 607, 9889, 553, 267, 26550, 625, 267, 24476, 267, 4123, 2377, 1173, 3996, 267, 543, 3560, 543, 17825, 3790, 269, 634, 22558, 293, 9193, 602, 7598, 13545, 858, 543, 24857, 16039, 20214, 267, 607, 1134, 607, 15024, 547, 519, 4123, 1604, 630, 9798, 267, 5989, 264, 1223, 3142, 827, 513, 476, 7871, 2600, 2208, 538, 11667, 24845, 4123, 1369, 4000, 267, 9870, 1483, 829, 21027, 12654, 676, 476, 1015, 269, 277, 2600, 267, 543, 4227, 3665, 6710, 676, 476, 1789, 268, 2004, 2929, 1004, 563, 763, 6639, 12042, 8896, 547, 4123, 6013, 538, 4000, 779, 2504, 17211, 269, 4000, 568, 513, 11782, 602, 7361, 7472, 6151, 1570, 1107, 16864, 267, 3282, 543, 3154, 267, 23342, 267, 547, 2012, 513, 1906, 269, 4107, 540, 891, 6151, 2326, 616, 2938, 607, 2959, 540, 8907, 585, 2229, 607, 568, 543, 616, 10355, 9268, 883, 8737, 2472, 269, 6875, 23342, 267, 585, 3236, 269, 9050, 540, 519, 2947, 5207, 23342, 6721, 6082, 616, 3979, 1107, 594, 341, 800, 11076, 267, 19168, 267, 13280, 267, 543, 23759, 3019, 1107, 2943, 519, 11782, 1281, 711, 723, 513, 10217, 26148, 26106, 23702, 269, 9747, 267, 1034, 23342, 3812, 568, 29633, 3544, 519, 11782, 563, 2005, 568, 267, 2705, 267, 849, 22317, 547, 4063, 602, 2523, 593, 519, 3979, 11782, 267, 2797, 786, 568, 1898, 538, 556, 12686, 519, 2640, 602, 2097, 609, 1863, 4123, 269, 8315, 1590, 1294, 1142, 824, 607, 4891, 267, 711, 30347, 269, 898, 568, 849, 585, 713, 2601, 602, 519, 2871, 3660, 11780, 19541, 630, 294, 2316, 264, 1107, 513, 2634, 18876, 540, 519, 2279, 290, 10499, 288, 568, 6322, 693, 4152, 519, 10512, 267, 12250, 267, 3656, 543, 4123, 3609, 1604, 269, 2290, 540, 519, 17993, 865, 2484, 568, 602, 922, 5216, 4759, 2477, 1107, 23759, 3019, 267, 5527, 267, 19168, 267, 15057, 267, 24381, 527, 3780, 267, 32678, 267, 25157, 543, 31512, 807, 1107, 723, 782, 8815, 547, 6749, 29388, 585, 1978, 2472, 971, 607, 17375, 17981, 267, 9075, 267, 7401, 267, 6995, 267, 9268, 5779, 2472, 267, 8970, 20566, 267, 4006, 267, 543, 12015, 5613, 1851, 1866, 563, 1692, 4166, 798, 596, 1589, 621, 3580, 1491, 585, 4000, 630, 17682, 290, 10499, 288, 264, 547, 2569, 29388, 543, 2333, 18666, 3648, 286, 2913, 721, 917, 563, 12648, 938, 12108, 630, 311, 264, 15724, 1934, 256, 0, 297, 1168, 601, 787, 2966, 547, 20758, 1055, 519, 968, 5271, 559, 3750, 892, 543, 2149, 513, 1762, 8004, 538, 1200, 8574, 547, 519, 1310, 5158, 811, 982, 476, 272, 267, 8517, 1296, 3516, 814, 1044, 30792, 538, 13243, 930, 476, 2004, 1296, 1310, 519, 3688, 941, 4362, 563, 763, 14951, 2443, 799, 2882, 11344, 1274, 337, 902, 267, 513, 4552, 11017, 267, 513, 20805, 656, 543, 4837, 543, 4154, 19273, 12946, 519, 6698, 540, 519, 4936, 9855, 15831, 700, 10044, 2443, 729, 1101, 4362, 538, 513, 1291, 30756, 514, 538, 476, 3192, 272, 267, 855, 814, 1152, 1631, 8854, 593, 4159, 585, 519, 1101, 942, 538, 513, 1007, 14266, 267, 519, 5840, 4165, 1172, 885, 16958, 1767, 11728, 563, 763, 14446, 1131, 723, 1044, 12816, 676, 519, 8004, 1282, 1200, 1272, 543, 5116, 538, 1200, 30756, 514, 547, 1832, 1200, 2922, 267, 513, 1455, 25384, 2259, 602, 2982, 519, 4763, 540, 3735, 4936, 13243, 267, 4966, 1767, 563, 16449, 519, 9060, 729, 513, 968, 331, 684, 3121, 2223, 513, 4154, 20805, 656, 8032, 899, 513, 524, 29266, 7599, 2443, 855, 1360, 2370, 568, 1634, 540, 519, 8004, 945, 20595, 621, 563, 10527, 954, 2590, 540, 519, 14446, 1927, 609, 519, 1762, 8004, 568, 15700, 269, 2290, 666, 4952, 602, 741, 3237, 610, 14077, 851, 539, 689, 519, 8004, 267, 2901, 24224, 609, 519, 14446, 267, 610, 7654, 14084, 676, 1200, 2427, 267, 543, 3206, 540, 519, 4027, 602, 519, 14446, 3177, 538, 519, 1158, 547, 2097, 2223, 1767, 18379, 18521, 639, 18480, 267, 8689, 540, 519, 5840, 4165, 1172, 885, 16958, 563, 22154, 568, 513, 1360, 1480, 3510, 267, 543, 782, 666, 2697, 609, 519, 991, 547, 2149, 835, 779, 15556, 267, 8726, 519, 2528, 610, 519, 1974, 2223, 646, 3773, 563, 763, 26526, 1134, 25535, 5703, 3688, 4266, 547, 950, 13243, 1185, 1044, 556, 652, 21521, 607, 513, 12733, 3957, 589, 20782, 7167, 20738, 2088, 538, 476, 15782, 4696, 1739, 519, 9552, 540, 519, 2749, 543, 922, 6014, 13527, 1282, 519, 4936, 11219, 28779, 2782, 538, 476, 3583, 4696, 563, 288, 1007, 3309, 2551, 540, 1004, 689, 2066, 519, 4936, 7276, 8452, 543, 4547, 609, 873, 513, 7848, 540, 4978, 563, 10527, 25384, 1381, 540, 519, 2749, 779, 1007, 2551, 729, 3638, 543, 9867, 267, 1519, 10971, 543, 15831, 525, 267, 1851, 873, 519, 1381, 540, 519, 7599, 15831, 700, 10044, 2223, 519, 5840, 4165, 1172, 885, 16958, 1767, 538, 513, 3948, 563, 763, 30756, 514, 729, 1336, 593, 6778, 2480, 22455, 267, 538, 519, 22583, 540, 519, 2749, 267, 676, 9125, 6048, 962, 6130, 1520, 2401, 267, 945, 814, 2094, 5747, 267, 855, 519, 3688, 941, 2760, 15597, 10268, 543, 1100, 1382, 729, 3370, 827, 873, 563, 763, 3688, 685, 6668, 568, 811, 7415, 2016, 519, 19746, 3135, 729, 1152, 4362, 676, 8009, 950, 513, 4439, 671, 9926, 518, 7938, 9231, 569, 1854, 526, 1194, 936, 621, 563, 763, 3661, 538, 513, 5256, 14179, 550, 968, 5271, 559, 3750, 892, 7389, 1394, 811, 982, 476, 273, 267, 1822, 1296, 281, 595, 5725, 12946, 606, 3750, 543, 2219, 547, 581, 1644, 547, 519, 12563, 3661, 723, 1044, 1336, 689, 519, 4571, 268, 277, 628, 2540, 7460, 269, 634, 5259, 14544, 1773, 583, 1105, 267, 945, 5030, 538, 519, 1101, 2540, 5084, 267, 5206, 602, 519, 1480, 3750, 1223, 5305, 1648, 3532, 2614, 547, 6146, 1507, 2831, 543, 1453, 563, 763, 22530, 819, 568, 1869, 11342, 538, 930, 11335, 4529, 269, 2368, 5957, 3750, 20805, 1218, 547, 2149, 873, 1996, 513, 31169, 2016, 547, 873, 676, 2576, 779, 17351, 1350, 732, 563, 763, 1482, 4544, 3750, 959, 1074, 1115, 666, 581, 2938, 538, 9118, 15805, 15945, 543, 8265, 588, 8712, 563, 2467, 723, 1044, 930, 476, 280, 267, 1822, 14155, 725, 2094, 519, 5748, 540, 519, 1533, 540, 5840, 538, 476, 3707, 279, 267, 8387, 1767, 267, 609, 1082, 1869, 711, 4628, 6594, 610, 2938, 676, 519, 1857, 563, 10527, 4087, 540, 519, 3312, 5359, 602, 10356, 7452, 936, 519, 1296, 538, 519, 5840, 4165, 1172, 885, 16958, 21517, 267, 543, 9308, 16439, 519, 1141, 629, 8083, 540, 519, 3688, 2933, 267, 814, 8774, 1769, 593, 1279, 16519, 326, 13516, 16782, 2223, 1767, 589, 6614, 2280, 4303, 534, 267, 945, 3366, 519, 1788, 269, 968, 763, 4190, 14446, 602, 649, 21503, 568, 606, 1383, 540, 971, 16782, 3034, 1103, 476, 3192, 276, 1079, 2147, 4154, 1274, 337, 902, 941, 4362, 538, 1776, 26995, 593, 519, 6778, 540, 9986, 1161, 267, 6772, 8504, 13243, 779, 6196, 4975, 563, 763, 3310, 540, 519, 1482, 25384, 2528, 593, 2413, 6377, 5840, 666, 849, 581, 2938, 538, 1747, 4408, 281, 7603, 747, 334, 543, 2142, 527, 962, 518, 1695, 616, 1312, 6508, 689, 586, 732, 16223, 267, 519, 12355, 585, 7599, 563, 763, 14446, 786, 581, 10268, 689, 11728, 676, 519, 5840, 4165, 1172, 885, 16958, 267, 519, 5840, 16709, 5980, 543, 519, 5840, 16329, 1670, 5948, 269, 0, 8139, 519, 3875, 2628, 2651, 3454, 3029, 568, 2556, 585, 4180, 2953, 543, 5360, 5050, 2628, 2651, 4393, 267, 799, 568, 1898, 585, 10018, 532, 519, 2359, 540, 2628, 2651, 267, 799, 568, 606, 1898, 5057, 540, 4881, 513, 1870, 269, 22553, 1031, 547, 10505, 1344, 17640, 547, 9441, 1121, 684, 3130, 267, 3454, 609, 3835, 902, 267, 543, 7418, 616, 1634, 607, 2628, 2651, 3454, 3029, 269, 769, 713, 4062, 267, 649, 786, 1413, 883, 519, 8847, 540, 2101, 2628, 2651, 3454, 3029, 607, 1134, 607, 519, 4644, 540, 891, 3029, 267, 17766, 1769, 593, 741, 3483, 267, 1543, 267, 543, 519, 1909, 789, 1404, 538, 4180, 602, 519, 2628, 2651, 5650, 8255, 12347, 563, 9377, 20532, 540, 12830, 9796, 2651, 12525, 22553, 454, 13528, 654, 268, 273, 568, 1031, 676, 12820, 547, 1867, 5993, 15271, 6976, 547, 5520, 607, 1134, 607, 519, 2179, 540, 9204, 609, 18988, 689, 1346, 13848, 563, 763, 12032, 543, 19169, 540, 4813, 476, 280, 6078, 593, 513, 10116, 569, 4493, 18715, 2953, 8989, 543, 8569, 540, 7694, 9204, 267, 799, 6087, 519, 2229, 547, 6895, 27710, 9707, 10220, 609, 3454, 4031, 269, 901, 1106, 568, 1031, 547, 1867, 543, 2628, 13864, 9204, 547, 519, 5313, 2229, 563, 32715, 619, 616, 32486, 547, 2709, 1239, 7282, 741, 674, 7473, 288, 3454, 5539, 267, 5473, 1312, 3454, 762, 13180, 543, 1022, 22317, 1533, 13864, 9204, 563, 763, 11423, 856, 540, 713, 1106, 4249, 513, 4105, 1909, 538, 14123, 519, 3892, 540, 13864, 1489, 269, 901, 1907, 849, 2337, 12337, 519, 3454, 2179, 1142, 16108, 1058, 2628, 4470, 593, 741, 2250, 7694, 1995, 563, 300, 529, 3250, 10389, 20677, 593, 4813, 476, 11820, 280, 5336, 3041, 290, 630, 5825, 539, 676, 14146, 619, 547, 7797, 9796, 906, 17214, 547, 6348, 7232, 332, 1943, 4315, 264, 20828, 281, 14146, 619, 10505, 4813, 476, 11820, 280, 5336, 3041, 290, 547, 1469, 11033, 2016, 547, 1875, 15041, 1943, 2465, 4600, 267, 971, 607, 4830, 25255, 543, 10151, 4600, 563, 763, 9138, 1344, 593, 519, 1106, 7740, 1472, 1121, 684, 3130, 7677, 1639, 547, 1004, 610, 3906, 267, 8537, 540, 8569, 547, 1875, 15041, 1943, 4315, 543, 4244, 2010, 540, 4747, 563, 4467, 921, 1154, 543, 26446, 513, 4813, 476, 11820, 280, 5336, 3041, 290, 568, 2838, 538, 1931, 547, 8308, 2594, 11033, 1500, 547, 2043, 945, 616, 711, 9833, 547, 581, 2834, 5520, 269, 5589, 760, 1801, 8415, 713, 1106, 547, 7866, 741, 4747, 950, 26446, 741, 1367, 3454, 7024, 563, 28444, 675, 602, 596, 6445, 856, 519, 1072, 6142, 2709, 454, 295, 517, 652, 6114, 593, 713, 1106, 786, 1450, 721, 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, 6092, 5149, 281, 1975, 6005, 5455, 2659, 700, 4875, 10794, 910, 589, 570, 7360, 570, 10044, 9995, 16049, 23874, 692, 8702, 547, 713, 8949, 1576, 1770, 1141, 649, 2811, 2469, 547, 2263, 875, 547, 1711, 513, 32727, 696, 1190, 267, 27357, 267, 543, 3432, 344, 7594, 602, 1256, 519, 1668, 5006, 1851, 721, 666, 2972, 269, 2334, 781, 1318, 282, 594, 993, 6158, 827, 513, 17175, 27966, 3165, 26889, 609, 606, 7489, 6335, 256, 901, 1770, 3340, 1100, 16681, 10051, 2645, 6862, 4359, 11477, 5759, 267, 865, 1577, 781, 4685, 538, 543, 3605, 875, 1454, 1187, 8600, 938, 6980, 693, 1753, 1223, 581, 780, 1262, 6637, 476, 272, 281, 20283, 532, 3776, 11822, 1299, 13245, 23123, 4373, 5575, 1919, 1101, 267, 1018, 798, 649, 991, 547, 4739, 713, 9735, 15409, 21649, 286, 3807, 1246, 713, 1592, 950, 10918, 610, 15555, 332, 1645, 998, 707, 20562, 787, 1384, 265, 2052, 2740, 27966, 630, 514, 1216, 2567, 6733, 585, 30396, 9575, 18178, 329, 871, 610, 11549, 659, 648, 27966, 952, 2009, 269, 1452, 3681, 948, 2149, 938, 12084, 1247, 3246, 14312, 3940, 543, 15060, 268, 274, 9761, 7408, 563, 265, 19940, 10568, 3694, 281, 27438, 8952, 721, 4743, 2407, 3476, 267, 1818, 2898, 10568, 3694, 513, 1732, 3903, 982, 3043, 269, 9578, 267, 6775, 7028, 12536, 543, 2949, 1072, 563, 265, 2904, 30358, 1047, 630, 869, 19339, 610, 17154, 4244, 2567, 2755, 949, 30358, 1047, 8591, 8645, 1465, 267, 1932, 1454, 1522, 9260, 1524, 938, 5137, 269, 1924, 1904, 585, 1970, 19339, 8747, 610, 2030, 2861, 8925, 899, 25636, 3262, 563, 265, 4414, 22323, 281, 2060, 922, 7646, 518, 6492, 3379, 547, 5835, 610, 3043, 8677, 267, 2699, 19637, 1683, 29511, 543, 2681, 1510, 11566, 824, 10366, 563, 265, 22966, 2044, 26106, 802, 281, 17006, 13767, 2044, 2488, 3063, 29511, 2059, 609, 1898, 8324, 543, 6886, 563, 265, 18610, 524, 559, 656, 549, 3762, 281, 8738, 560, 532, 609, 14434, 267, 524, 559, 656, 549, 561, 1742, 21386, 543, 4195, 1145, 547, 938, 26889, 269, 3143, 19048, 952, 596, 771, 3697, 922, 2189, 6492, 1765, 3286, 5372, 621, 609, 16163, 2917, 3079, 2336, 265, 590, 1195, 14036, 281, 5510, 1359, 3638, 19804, 9564, 8137, 267, 1175, 513, 21686, 10597, 782, 3334, 540, 938, 8670, 269, 11408, 2307, 606, 2937, 1354, 1210, 8325, 3615, 899, 31009, 610, 23041, 6633, 619, 1282, 3341, 960, 563, 265, 16444, 571, 15939, 3905, 31625, 14036, 281, 1403, 596, 2648, 838, 545, 1465, 267, 1287, 4946, 513, 2695, 7398, 540, 521, 686, 571, 15939, 786, 3142, 14246, 543, 10761, 547, 1169, 11116, 269, 18461, 1863, 547, 4188, 519, 2179, 1759, 593, 2123, 13283, 563, 265, 8838, 1308, 970, 6652, 281, 2961, 8527, 27054, 338, 267, 11350, 14723, 17446, 267, 23858, 3762, 267, 16603, 21100, 267, 3092, 269, 11426, 1125, 707, 26889, 676, 1519, 891, 18593, 5820, 607, 5551, 780, 1262, 6637, 476, 273, 281, 19369, 17778, 17214, 14168, 4373, 3086, 602, 649, 723, 10356, 3388, 2877, 1577, 781, 2322, 1927, 938, 20100, 1900, 8386, 9912, 1384, 272, 269, 7046, 543, 8963, 519, 27574, 27966, 8499, 269, 9255, 621, 3330, 513, 11544, 12826, 563, 273, 269, 20963, 569, 14299, 3368, 540, 519, 2699, 22323, 267, 1079, 13767, 2044, 26106, 802, 267, 543, 513, 19625, 540, 524, 559, 656, 549, 3762, 269, 17186, 873, 1134, 609, 519, 27071, 27966, 563, 274, 269, 32449, 835, 29537, 540, 13386, 14036, 936, 519, 7848, 4553, 676, 835, 23188, 540, 521, 686, 571, 15939, 3905, 31625, 14036, 269, 853, 597, 2394, 5916, 563, 275, 269, 7994, 707, 9053, 7873, 2939, 4781, 267, 971, 607, 1970, 19339, 949, 334, 610, 11792, 1117, 25636, 267, 543, 3575, 538, 2614, 547, 5848, 523, 519, 27966, 19997, 21066, 269, 2142, 6297, 711, 547, 546, 3402, 621, 2336, 276, 269, 1677, 770, 1079, 21100, 540, 2898, 10568, 3694, 952, 5551, 269, 3973, 267, 4494, 1142, 20105, 609, 3160, 13980, 540, 519, 5423, 27966, 19997, 563, 277, 269, 5440, 1055, 707, 27966, 26889, 609, 1022, 4999, 540, 18593, 5388, 5018, 4505, 269, 4964, 9900, 547, 5150, 741, 1747, 1063, 1346, 26345, 6106, 563, 278, 269, 23670, 790, 707, 1688, 328, 1740, 543, 1273, 3054, 593, 519, 1394, 585, 2870, 1945, 5963, 2027, 269, 3767, 979, 6619, 267, 1491, 513, 2462, 30861, 11116, 2439, 1262, 6637, 476, 274, 281, 5269, 5025, 3650, 18903, 1299, 29938, 8895, 648, 4373, 12441, 333, 1405, 9096, 4189, 621, 782, 286, 5213, 1405, 5855, 256, 15439, 16833, 909, 707, 31629, 27966, 26889, 17401, 538, 5068, 4670, 610, 4558, 538, 606, 2011, 31259, 8708, 269, 7377, 621, 883, 519, 21067, 585, 14182, 781, 12899, 269, 1879, 4712, 547, 3548, 1586, 267, 2015, 7432, 621, 883, 513, 1990, 17965, 19997, 2439, 9617, 8900, 519, 9115, 5196, 513, 6676, 267, 2770, 742, 6306, 519, 27966, 19997, 267, 543, 3295, 621, 609, 26546, 16719, 267, 22872, 19787, 267, 543, 5310, 930, 11523, 619, 610, 533, 7534, 13365, 269, 14109, 30257, 3606, 11922, 267, 513, 25837, 540, 11993, 10433, 267, 610, 1776, 5671, 14794, 540, 13386, 14036, 585, 3773, 1990, 652, 269, 27215, 10042, 1107, 1631, 596, 4312, 3893, 513, 24253, 1007, 1259, 547, 882, 880, 19108, 781, 5137, 780, 8855, 267, 17634, 5012, 547, 6602, 269, 18461, 1863, 547, 1404, 1472, 609, 1114, 10659, 540, 4005, 902, 267, 5388, 267, 543, 27156, 547, 1265, 707, 10700, 5172, 4528, 269, 8414, 4417, 1005, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2635, 27966, 26889, 267, 609, 513, 5905, 540, 24996, 269, 16797, 267, 2653, 267, 2241, 5820, 267, 2943, 1187, 543, 666, 581, 513, 19997, 269, 634, 3501, 12899, 610, 12129, 585, 519, 11112, 1268, 593, 7308, 30559, 563, 763, 27966, 26889, 568, 3501, 585, 12899, 610, 12129, 593, 7308, 30559, 269, 898, 666, 581, 1500, 538, 3764, 543, 3085, 1405, 2154, 1022, 5986, 1983, 269, 630, 307, 6412, 721, 593, 602, 267, 649, 616, 711, 1753, 2275, 23697, 609, 2178, 18653, 585, 1426, 4700, 634, 11600, 568, 1360, 2241, 267, 2656, 267, 543, 2653, 543, 596, 666, 1039, 811, 610, 1447, 540, 1022, 12146, 4470, 593, 707, 6492, 7375, 563, 12234, 267, 519, 27966, 26889, 666, 3251, 538, 519, 1201, 3072, 698, 30004, 585, 513, 1906, 2395, 543, 596, 1039, 930, 8390, 547, 2490, 621, 883, 513, 19997, 269, 634, 25970, 27966, 19997, 26889, 609, 609, 8137, 585, 5607, 814, 513, 2370, 3787, 540, 3002, 602, 786, 1118, 621, 4277, 585, 3025, 563, 30952, 593, 649, 786, 2671, 930, 5011, 610, 10425, 602, 4422, 9985, 609, 27966, 26889, 269, 1280, 811, 26889, 11600, 596, 1590, 2389, 787, 538, 476, 1708, 274, 568, 1934, 269, 6744, 856, 476, 1015, 5863, 32409, 547, 3434, 543, 2119, 2336, 307, 10044, 9995, 16049, 23123, 454, 2080, 568, 513, 2656, 267, 543, 2241, 5820, 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, 3992, 593, 2480, 1117, 30389, 538, 6355, 1299, 13188, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 875, 4213, 4383, 741, 942, 3927, 1210, 16131, 269, 5620, 596, 2479, 9289, 875, 707, 5172, 8637, 6430, 950, 547, 6006, 1007, 9162, 610, 16152, 286, 2107, 5310, 875, 707, 2199, 5399, 4566, 856, 922, 1650, 5503, 3108, 286, 898, 782, 2501, 1524, 547, 20319, 2439, 5331, 602, 596, 2196, 513, 21097, 1796, 269, 1411, 991, 547, 4137, 856, 950, 547, 1305, 909, 6300, 865, 602, 596, 666, 6133, 519, 1034, 21097, 2009, 269, 9320, 596, 5469, 602, 811, 1004, 3802, 676, 1282, 12424, 982, 1022, 824, 942, 540, 1554, 269, 1924, 267, 596, 1711, 513, 8430, 602, 3081, 596, 3513, 1930, 585, 1870, 1318, 1354, 12424, 6238, 543, 2673, 909, 6300, 1310, 3025, 4422, 1394, 3330, 269, 2334, 1259, 267, 596, 11694, 707, 6455, 1247, 1869, 2348, 942, 585, 824, 2238, 780, 19968, 525, 798, 1945, 2147, 267, 855, 593, 513, 1454, 3677, 4336, 269, 1358, 2015, 1082, 2188, 899, 6075, 3747, 267, 9441, 8244, 267, 2504, 28868, 267, 543, 6765, 16131, 269, 1635, 2870, 543, 1739, 513, 1134, 268, 2288, 339, 13050, 1544, 267, 789, 666, 2327, 602, 3388, 4991, 2944, 7561, 543, 4986, 8813, 998, 519, 18015, 780, 4131, 781, 1413, 693, 930, 1883, 2609, 540, 20319, 538, 1870, 1384, 272, 269, 2878, 30787, 17644, 4995, 6969, 1818, 513, 8430, 267, 4213, 1590, 1101, 3313, 1018, 789, 4126, 547, 3035, 269, 1280, 3236, 267, 952, 596, 1378, 513, 29221, 2044, 267, 835, 3804, 1522, 581, 547, 3132, 2614, 3694, 585, 782, 707, 5561, 1142, 1554, 269, 4495, 3853, 616, 3964, 267, 596, 666, 2253, 4058, 875, 547, 3914, 873, 563, 273, 269, 2878, 26212, 527, 1944, 570, 3696, 4995, 3502, 1169, 4305, 6585, 3160, 2956, 269, 2368, 4247, 4096, 593, 1866, 1373, 6192, 1101, 269, 1280, 1383, 267, 513, 7802, 4558, 2115, 547, 4309, 6928, 906, 540, 9660, 1354, 789, 666, 2322, 3688, 593, 4159, 543, 1376, 9513, 269, 26875, 1436, 2337, 4213, 1445, 593, 2565, 4247, 543, 2347, 873, 16425, 563, 274, 269, 2878, 5472, 20814, 8249, 4995, 901, 1900, 3322, 14045, 945, 786, 798, 799, 4247, 543, 950, 269, 4024, 22123, 960, 544, 1941, 902, 610, 1310, 7224, 976, 713, 3018, 286, 1215, 1082, 10833, 540, 23611, 1058, 3627, 1931, 585, 1985, 3923, 286, 7743, 4199, 14305, 5849, 5347, 4238, 543, 11151, 4420, 6352, 1815, 802, 563, 275, 269, 2878, 12507, 13501, 18776, 4995, 2991, 8380, 519, 8430, 883, 2962, 267, 4213, 1832, 3950, 540, 2436, 1919, 616, 4881, 12347, 269, 3657, 972, 17799, 286, 13201, 4376, 1044, 15763, 286, 8617, 2638, 15564, 1450, 11941, 547, 581, 1500, 3533, 952, 2556, 563, 276, 269, 2878, 3849, 3286, 532, 607, 10261, 539, 4995, 6884, 6397, 2621, 2049, 267, 8506, 2242, 547, 519, 3312, 1544, 269, 12344, 513, 18261, 15920, 25768, 2694, 610, 3983, 4365, 5540, 5838, 625, 269, 9861, 8465, 2636, 4213, 547, 3082, 543, 3136, 5665, 3927, 5103, 2591, 780, 3528, 13215, 891, 3344, 540, 20319, 267, 4213, 666, 4688, 942, 267, 2569, 2566, 267, 543, 2087, 2949, 4398, 269, 1656, 1175, 899, 609, 707, 21097, 1796, 267, 1697, 20319, 13071, 11639, 2972, 1272, 3544, 540, 960, 1932, 2439, 3086, 1577, 781, 2119, 513, 1187, 3635, 1927, 269, 5994, 596, 4312, 3323, 513, 1507, 1870, 9513, 29586, 28551, 6486, 269, 6056, 827, 875, 596, 1131, 4019, 891, 3741, 540, 20319, 547, 707, 3556, 6194, 14679, 269, 3503, 1524, 707, 4267, 547, 519, 1739, 2055, 1384, 265, 1548, 616, 707, 1292, 3853, 585, 713, 1870, 286, 630, 324, 3052, 1421, 5269, 2473, 1297, 540, 6486, 829, 3018, 994, 265, 6904, 4247, 616, 1034, 1271, 547, 9585, 3232, 267, 12353, 267, 10865, 888, 265, 5808, 786, 948, 596, 609, 1585, 9021, 630, 9188, 793, 532, 267, 11183, 267, 11288, 25145, 265, 1215, 1419, 786, 596, 2689, 3356, 2509, 707, 3853, 888, 265, 1548, 1761, 9465, 666, 596, 2062, 5408, 267, 543, 875, 1522, 596, 2232, 873, 2496, 15124, 2816, 6236, 782, 1346, 2188, 256, 3807, 3314, 267, 2259, 2306, 3501, 1107, 865, 1832, 17975, 707, 1983, 607, 596, 1332, 707, 3556, 6194, 10504, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 16438, 17111, 1772, 589, 1744, 6235, 7577, 6176, 5303, 4828, 454, 2690, 519, 2250, 8717, 267, 649, 723, 2938, 519, 2799, 540, 3906, 8508, 552, 19645, 607, 513, 7580, 1847, 547, 5818, 6668, 543, 547, 2333, 741, 12434, 269, 1548, 4010, 568, 552, 19645, 286, 4746, 1634, 607, 5907, 16450, 267, 621, 568, 519, 9140, 543, 9513, 540, 5370, 543, 2533, 593, 519, 5769, 267, 2523, 519, 2622, 22453, 5680, 269, 13651, 26115, 769, 2110, 267, 621, 4016, 547, 519, 946, 540, 519, 5769, 543, 519, 5680, 547, 6223, 1870, 269, 2859, 18005, 1498, 267, 519, 2165, 552, 19645, 568, 827, 25274, 13087, 5010, 8852, 1063, 543, 1851, 3906, 543, 2043, 269, 20497, 8852, 1934, 4125, 519, 5385, 540, 1871, 267, 1383, 267, 2724, 267, 2066, 3919, 610, 1367, 6302, 538, 2132, 585, 2472, 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 ]
[ 513, 4605, 543, 519, 1617, 529, 574, 3758, 585, 596, 547, 1294, 519, 5547, 269, 2073, 3965, 269, 476, 275, 9457, 4149, 331, 1511, 543, 22750, 6874, 3419, 13499, 667, 4469, 760, 6363, 331, 3591, 4469, 760, 22286, 3591, 2408, 538, 1585, 19383, 267, 971, 607, 808, 11860, 16212, 22286, 3591, 267, 667, 22286, 760, 22286, 3591, 543, 570, 22286, 760, 22286, 3591, 267, 1141, 519, 667, 22286, 760, 1166, 641, 568, 1034, 4122, 1031, 269, 476, 273, 526, 4640, 1107, 596, 666, 946, 547, 9004, 519, 17627, 538, 16212, 1166, 3591, 3322, 11067, 873, 269, 634, 2022, 26792, 719, 11191, 2164, 1397, 602, 519, 5084, 305, 6363, 293, 27499, 519, 3592, 3160, 3742, 1379, 1851, 519, 16212, 22286, 641, 11387, 609, 1114, 2553, 269, 476, 14093, 277, 4882, 6110, 5038, 268, 28318, 268, 29218, 278, 268, 277, 570, 20168, 13965, 10691, 292, 7046, 7457, 11638, 587, 495, 984, 11187, 11938, 540, 631, 5308, 293, 4953, 338, 8756, 11097, 2195, 543, 3761, 6453, 538, 519, 6069, 12242, 6316, 587, 495, 339, 3419, 13499, 11979, 667, 16212, 587, 495, 4148, 641, 609, 5934, 3328, 1379, 543, 8488, 676, 1210, 27967, 1875, 587, 495, 3256, 3990, 18570, 4719, 5690, 587, 495, 2862, 674, 6702, 573, 3223, 23186, 1014, 24682, 715, 817, 518, 2725, 15590, 3333, 611, 543, 589, 2513, 325, 1794, 331, 4437, 329, 926, 538, 519, 642, 3149, 328, 5547, 1374, 269, 9717, 513, 840, 4211, 4811, 4880, 4289, 8745, 1948, 715, 1115, 1948, 4469, 760, 4469, 3591, 1948, 11192, 19204, 589, 2464, 268, 12553, 476, 3445, 267, 3445, 276, 476, 1015, 267, 277, 6434, 4014, 267, 808, 298, 16212, 22286, 641, 5543, 1407, 519, 23380, 1533, 2783, 540, 22804, 16212, 1166, 641, 267, 799, 4386, 950, 5590, 543, 1763, 564, 616, 1312, 1305, 547, 476, 272, 269, 634, 8097, 2164, 616, 3254, 998, 519, 1657, 9936, 10781, 269, 476, 274, 269, 1488, 636, 1872, 600, 9474, 22552, 16898, 2433, 910, 634, 3903, 540, 16212, 22286, 641, 4066, 568, 606, 1898, 2956, 538, 1374, 540, 966, 299, 10485, 7471, 11387, 585, 1164, 3432, 543, 1164, 2773, 18328, 5308, 11387, 269, 7612, 476, 272, 281, 17240, 572, 17832, 13499, 4469, 760, 1166, 641, 769, 713, 1374, 519, 6422, 1379, 4616, 543, 519, 24694, 1699, 723, 1044, 8519, 543, 3334, 1644, 547, 519, 24694, 1699, 616, 2808, 269, 898, 649, 5963, 1616, 547, 581, 968, 10818, 531, 892, 7919, 267, 513, 1390, 4308, 540, 938, 6208, 543, 9751, 991, 547, 8597, 547, 5355, 16952, 10819, 269, 634, 3977, 568, 4448, 547, 606, 10896, 585, 16315, 540, 519, 3977, 269, 589, 16212, 1107, 4148, 641, 568, 606, 5907, 5547, 602, 814, 476, 273, 7123, 2829, 476, 271, 543, 476, 272, 269, 1677, 2057, 971, 2152, 267, 9858, 946, 15222, 9088, 602, 20586, 22037, 320, 268, 24951, 519, 13437, 540, 23397, 4210, 1301, 11106, 26659, 10613, 585, 8838, 2711, 5071, 540, 519, 23281, 2549, 680, 8595, 2861, 4469, 760, 6363, 331, 3591, 590, 1228, 724, 15011, 13758, 328, 10507, 325, 1695, 549, 617, 272, 267, 1530, 26191, 8621, 573, 2098, 1695, 21105, 476, 273, 476, 272, 267, 273, 1546, 696, 269, 1107, 946, 16212, 22286, 641, 29835, 7515, 3040, 20472, 918, 2173, 2355, 585, 281, 1107, 16212, 22286, 641, 11378, 1107, 3119, 17016, 3040, 5136, 1555, 31965, 590, 8008, 4834, 3040, 8571, 7954, 6516, 3040, 3244, 3634, 547, 13182, 1374, 1299, 3181, 1872, 607, 2877, 3040, 9524, 5547, 2079, 1299, 7954, 11938, 595, 269, 10241, 540, 22804, 4469, 760, 4469, 641, 269, 2334, 568, 12193, 676, 519, 11638, 268, 984, 11187, 12472, 776, 23990, 630, 19616, 12788, 1040, 769, 2489, 267, 519, 590, 815, 681, 815, 476, 272, 2783, 568, 17251, 10363, 667, 15178, 16212, 22286, 3591, 269, 7151, 269, 18479, 322, 476, 30444, 476, 273, 4469, 760, 6363, 331, 3591, 4678, 2583, 9046, 281, 5071, 513, 3060, 547, 1852, 513, 17689, 689, 1079, 3848, 476, 278, 1107, 4678, 2583, 543, 4469, 760, 6363, 331, 3591, 8525, 476, 272, 540, 476, 1240, 476, 278, 269, 476, 278, 20147, 519, 3184, 269, 19672, 827, 519, 16212, 22286, 641, 2203, 267, 543, 519, 1239, 689, 519, 9980, 1778, 3498, 616, 2143, 269, 634, 1007, 1840, 1934, 3947, 721, 2185, 2009, 17016, 540, 519, 16212, 1166, 641, 269, 3119, 8984, 262, 7192, 268, 2425, 1113, 561, 302, 22080, 290, 281, 2073, 2235, 340, 329, 349, 568, 1547, 22219, 31936, 630, 1001, 277, 264, 476, 276, 281, 16928, 272, 20396, 476, 1015, 269, 589, 575, 730, 590, 681, 16212, 1166, 641, 609, 519, 1840, 540, 513, 9219, 3403, 5547, 787, 568, 10416, 519, 808, 737, 16212, 1166, 641, 269, 634, 11938, 12346, 593, 6310, 5752, 547, 1265, 519, 1655, 24923, 7306, 269, 3245, 519, 5168, 3349, 267, 649, 723, 2938, 513, 2783, 1141, 519, 3977, 3587, 23380, 950, 1312, 590, 815, 681, 815, 476, 272, 269, 11555, 26177, 281, 589, 16212, 22286, 641, 568, 513, 561, 2255, 5547, 609, 513, 968, 335, 592, 572, 18785, 892, 5547, 4448, 547, 519, 5512, 630, 292, 264, 3403, 267, 865, 602, 621, 568, 13087, 1152, 585, 513, 5618, 4090, 593, 2901, 519, 8375, 610, 9991, 6316, 540, 513, 9219, 13942, 269, 3245, 519, 6476, 267, 649, 1294, 602, 585, 782, 2029, 9136, 267, 519, 1379, 4744, 11692, 540, 6422, 16212, 22286, 641, 568, 4130, 982, 602, 540, 519, 11979, 835, 269, 9717, 2378, 331, 3233, 680, 8911, 1374, 540, 600, 2222, 268, 1105, 3538, 675, 1374, 267, 649, 4754, 3313, 519, 3892, 540, 16212, 22286, 3591, 585, 1312, 7161, 543, 12904, 676, 6061, 519, 631, 6579, 303, 2889, 12378, 269, 1280, 519, 1533, 3684, 3254, 2630, 267, 8263, 602, 519, 16212, 1166, 641, 14764, 942, 568, 476, 273, 562, 338, 267, 519, 3180, 942, 568, 476, 271, 269, 744, 9383, 984, 323, 345, 6359, 320, 8950, 7010, 12524, 18628, 2160, 3520, 578, 6308, 287, 16330, 5112, 269, 1284, 1397, 602, 519, 1379, 543, 1858, 16841, 540, 2571, 12967, 16212, 22286, 3591, 9428, 2047, 609, 519, 2179, 540, 2571, 1145, 269, 4935, 538, 2665, 1141, 15096, 11387, 616, 1210, 5458, 3965, 4859, 1949, 519, 1764, 540, 519, 667, 16212, 1166, 641, 11938, 568, 9645, 269, 898, 5161, 540, 1585, 2010, 267, 538, 713, 1957, 4487, 10553, 16212, 1166, 641, 568, 6964, 547, 3035, 1970, 1379, 1374, 269, 476, 272, 268, 274, 269, 1411, 1058, 1294, 602, 713, 2242, 519, 3977, 540, 519, 667, 16212, 22286, 641, 269, 476, 274, 6113, 2500, 1259, 1107, 547, 1205, 7759, 540, 17627, 538, 634, 2773, 540, 4469, 760, 6363, 331, 641, 3310, 519, 2773, 540, 2898, 15222, 748, 5547, 267, 3226, 538, 2620, 10398, 601, 1441, 1374, 630, 289, 327, 1173, 822, 541, 600, 543, 30346, 2967, 476, 1001, 273, 1040, 3735, 519, 1966, 540, 4466, 519, 5934, 9219, 1974, 540, 513, 16212, 268, 1166, 641, 1759, 18615, 5547, 8051, 585, 891, 29444, 269, 8431, 274, 281, 5565, 3787, 1166, 641, 11768, 2070, 7305, 476, 273, 281, 19791, 630, 19031, 332, 273, 264, 540, 16212, 22286, 641, 630, 13697, 1070, 4487, 1606, 331, 1511, 561, 2255, 630, 300, 4149, 1070, 543, 476, 274, 25686, 561, 2255, 2861, 6272, 269, 853, 9613, 661, 28421, 476, 22213, 271, 476, 279, 4469, 760, 6363, 331, 641, 19196, 2787, 23959, 1299, 3557, 30894, 1627, 1627, 266, 667, 570, 590, 681, 808, 918, 3223, 23186, 1014, 1696, 620, 269, 23030, 10148, 666, 581, 3710, 883, 519, 2168, 11938, 269, 17240, 572, 2389, 3419, 13499, 700, 2255, 3040, 11724, 894, 17438, 5937, 337, 1508, 11638, 9779, 4469, 760, 6363, 331, 641, 5071, 26659, 16910, 517, 717, 1663, 10045, 543, 1744, 332, 3241, 654, 25534, 17593, 4578, 5937, 337, 1508, 1849, 1442, 8566, 908, 630, 291, 17584, 294, 264, 543, 11638, 9779, 4469, 760, 6363, 331, 3591, 630, 11586, 13697, 338, 264, 538, 799, 1896, 674, 22661, 616, 19882, 543, 2671, 513, 1455, 9219, 9920, 616, 1079, 2500, 1970, 27703, 1374, 2553, 269, 1403, 519, 16212, 1166, 641, 602, 596, 3442, 547, 946, 814, 606, 30141, 1627, 3977, 596, 666, 4894, 519, 28860, 3254, 543, 3274, 3049, 1394, 519, 30141, 1627, 1394, 547, 519, 667, 3403, 269, 476, 14093, 277, 4882, 6110, 5038, 268, 28318, 268, 29218, 278, 268, 277, 570, 20168, 13965, 10691, 292, 7046, 7457, 11638, 587, 495, 984, 11187, 11938, 540, 631, 5308, 293, 4953, 338, 8756, 11097, 2195, 543, 3761, 6453, 538, 519, 6069, 12242, 6316, 587, 495, 339, 3419, 13499, 11979, 667, 16212, 587, 495, 4148, 641, 609, 5934, 3328, 1379, 543, 8488, 676, 1210, 27967, 1875, 587, 495, 3256, 3990, 18570, 4719, 5690, 587, 495, 2862, 674, 6702, 573, 3223, 23186, 1014, 24682, 715, 817, 518, 2725, 15590, 3333, 611, 543, 589, 2513, 325, 1794, 331, 4437, 329, 926, 30027, 748, 9351, 543, 4678, 1890, 26659, 585, 853, 27181, 27989, 676, 667, 4469, 760, 268, 23807, 480, 641, 23453, 542, 2098, 6062, 329, 532, 9149, 267, 2098, 29697, 16441, 267, 962, 8270, 18681, 267, 2098, 1460, 514, 29399, 267, 543, 1284, 1731, 836, 1627, 1014, 267, 16588, 267, 20959, 17593, 1765, 306, 1729, 577, 2880, 7384, 630, 17092, 264, 568, 606, 23349, 7384, 4480, 1210, 3059, 11387, 269, 3689, 267, 1305, 667, 547, 476, 271, 543, 4945, 519, 9219, 7466, 269, 4469, 760, 22286, 3591, 666, 2014, 610, 22652, 2175, 971, 607, 536, 684, 687, 267, 17200, 1729, 525, 267, 543, 1351, 985, 269, 26659, 585, 28298, 19835, 9457, 32013, 2480, 534, 4469, 760, 4469, 641, 269, 5044, 263, 1496, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 272, 8079, 21188, 8516, 269, 589, 2241, 16212, 22286, 641, 666, 581, 9112, 1210, 476, 273, 715, 13263, 10766, 610, 476, 273, 715, 3036, 10766, 269, 6316, 16212, 22286, 3591, 609, 8795, 5666, 540, 2571, 1145, 269, 476, 275, 267, 543, 11938, 2164, 616, 5941, 538, 590, 624, 269, 700, 267, 4515, 269, 4595, 267, 715, 13263, 568, 513, 8471, 10766, 621, 568, 3833, 2653, 547, 2936, 513, 16212, 22286, 641, 5547, 269, 1717, 267, 519, 27178, 1175, 1832, 1025, 9722, 799, 3947, 803, 519, 12705, 602, 519, 3977, 568, 711, 7123, 630, 6518, 689, 1250, 2079, 267, 519, 3977, 1058, 581, 7123, 1040, 476, 276, 9046, 3948, 1677, 11126, 513, 667, 16212, 1166, 641, 8045, 1210, 717, 14888, 4480, 609, 10766, 9219, 532, 543, 1818, 19260, 538, 519, 28176, 547, 3489, 606, 6099, 5547, 547, 519, 1655, 6708, 589, 4469, 760, 6363, 331, 641, 666, 581, 2966, 607, 513, 561, 2255, 6292, 267, 1141, 835, 568, 12001, 30041, 267, 543, 519, 12001, 268, 869, 269, 5441, 540, 7177, 267, 10817, 785, 344, 267, 17555, 2160, 267, 290, 1156, 333, 2967, 268, 1839, 269, 586, 20755, 532, 1299, 1648, 18572, 540, 1016, 6253, 11611, 4469, 760, 6363, 331, 3591, 1058, 581, 5340, 585, 2953, 1374, 540, 4469, 760, 6363, 331, 3591, 269, 2334, 1353, 2417, 7000, 519, 2773, 1764, 540, 32144, 10398, 601, 1456, 269, 476, 14093, 277, 4882, 6110, 5038, 268, 28318, 268, 29218, 278, 268, 277, 570, 20168, 13965, 10691, 292, 7046, 7457, 11638, 587, 495, 984, 11187, 11938, 540, 631, 5308, 293, 4953, 338, 8756, 11097, 2195, 543, 3761, 6453, 538, 519, 6069, 12242, 6316, 587, 495, 339, 3419, 13499, 11979, 667, 16212, 587, 495, 4148, 641, 609, 5934, 3328, 1379, 543, 8488, 676, 1210, 27967, 1875, 587, 495, 3256, 3990, 18570, 4719, 5690, 587, 495, 2862, 674, 6702, 573, 3223, 23186, 1014, 24682, 715, 817, 518, 2725, 15590, 3333, 611, 543, 589, 2513, 325, 1794, 331, 4437, 329, 926, 9046, 2404, 609, 22804, 16212, 1166, 3591, 634, 1292, 1966, 2404, 609, 891, 11387, 568, 602, 789, 960, 593, 2241, 476, 272, 19229, 3965, 267, 865, 952, 1305, 3403, 568, 1101, 3144, 607, 476, 271, 1287, 3144, 1394, 547, 7954, 267, 543, 1287, 519, 2417, 1689, 1281, 711, 723, 1022, 1198, 593, 7954, 476, 271, 20512, 540, 1305, 3403, 630, 306, 1040, 589, 17513, 16212, 22286, 641, 3977, 666, 1831, 22037, 762, 952, 621, 642, 1470, 2000, 919, 519, 1239, 270, 637, 564, 14764, 7146, 3620, 1245, 2053, 269, 1677, 7753, 713, 3390, 267, 649, 723, 2907, 5941, 519, 1523, 540, 22750, 15427, 808, 298, 16212, 22286, 641, 538, 519, 2376, 4985, 547, 808, 298, 6363, 28309, 4469, 641, 1547, 7053, 267, 590, 624, 269, 19881, 3718, 19881, 1568, 593, 11938, 540, 5236, 361, 480, 760, 268, 23807, 480, 3591, 666, 581, 19040, 547, 5688, 3074, 1282, 28454, 281, 634, 9241, 6069, 32680, 7232, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 3287, 264, 325, 12169, 7751, 585, 782, 1483, 2338, 1269, 343, 267, 586, 16859, 763, 1101, 1966, 594, 723, 568, 594, 993, 711, 2386, 1018, 568, 5921, 676, 834, 325, 4193, 782, 6024, 3252, 2668, 2052, 2576, 1397, 803, 1018, 519, 10678, 3948, 1058, 1413, 899, 2496, 30772, 267, 594, 6415, 711, 2386, 1018, 547, 798, 609, 519, 1894, 594, 4312, 6508, 269, 634, 1034, 5363, 616, 1384, 259, 325, 263, 271, 264, 815, 476, 271, 6911, 259, 325, 3287, 264, 815, 535, 8987, 343, 22491, 259, 325, 263, 273, 343, 264, 815, 476, 273, 325, 3287, 22491, 296, 849, 917, 602, 1384, 259, 325, 263, 273, 264, 815, 476, 273, 325, 263, 272, 22491, 259, 325, 263, 274, 264, 815, 1422, 2765, 346, 274, 2410, 273, 348, 325, 263, 273, 22491, 259, 325, 263, 275, 264, 815, 476, 273, 325, 263, 273, 264, 815, 476, 275, 325, 263, 272, 22491, 1607, 5012, 803, 547, 3494, 602, 4399, 2765, 346, 325, 5416, 20972, 325, 6357, 14587, 815, 1422, 2765, 21151, 2410, 321, 20954, 855, 594, 1810, 1405, 917, 630, 320, 264, 952, 713, 568, 5363, 543, 630, 321, 264, 875, 547, 6961, 621, 780, 4692, 2576, 12172, 1018, 4010, 519, 1843, 568, 267, 543, 1448, 803, 2509, 519, 1985, 1900, 2496, 8894, 3080, 971, 1599, 568, 1269, 325, 3287, 6661, 343, 10608, 2334, 3085, 1405, 948, 596, 1265, 519, 2489, 3070, 267, 594, 1175, 2219, 2576, 1058, 1448, 856, 519, 835, 2653, 1383, 269, 1107, 1109, 15168, 787, 3733, 3205, 3967, 476, 2918, 1412, 1724, 693, 476, 276, 281, 2420, 454, 259, 343, 284, 273, 259, 543, 1269, 344, 284, 271, 259, 960, 5386, 585, 803, 1862, 1107, 1109, 21142, 3244, 13908, 3967, 476, 2918, 1412, 1724, 693, 476, 276, 281, 3607, 454, 259, 344, 815, 476, 271, 259, 3123, 1535, 547, 581, 1863, 267, 865, 519, 2489, 3070, 814, 1269, 344, 815, 476, 271, 267, 1535, 1422, 514, 1422, 13992, 23334, 4151, 1107, 1109, 9399, 636, 1676, 3967, 476, 3066, 1412, 1724, 693, 476, 736, 281, 2420, 454, 5417, 6085, 692, 1012, 476, 273, 12226, 692, 763, 2783, 1269, 325, 3287, 9385, 28254, 476, 271, 259, 4667, 547, 6146, 782, 1875, 2389, 337, 20190, 7399, 281, 2094, 1269, 325, 263, 271, 6661, 271, 259, 649, 1577, 1269, 344, 15871, 343, 281, 6911, 2330, 268, 325, 317, 273, 263, 273, 343, 6661, 275, 325, 3287, 264, 325, 8987, 343, 264, 9681, 4913, 1269, 325, 3287, 9385, 28254, 476, 271, 8961, 865, 1269, 325, 3287, 6661, 271, 10608, 3657, 596, 11613, 2386, 540, 519, 4399, 13992, 23334, 4153, 1729, 1496, 271, 12101, 13727, 7751, 3787, 2496, 8894, 266, 272, 267, 8799, 3750, 269, 7064, 585, 15738, 713, 856, 269, 1107, 1109, 681, 755, 2106, 3967, 476, 2918, 1412, 1724, 693, 476, 277, 281, 876, 454, 287, 305, 755, 2106, 267, 594, 1175, 6743, 693, 519, 2140, 267, 543, 14406, 519, 1875, 268, 10864, 18356, 2783, 269, 1107, 1109, 15168, 787, 3733, 3205, 3967, 476, 2918, 1412, 1724, 693, 476, 1556, 281, 2004, 454, 296, 13761, 267, 543, 594, 723, 519, 1966, 7150, 4010, 607, 621, 729, 4843, 269, 1107, 1109, 9399, 636, 1676, 3967, 476, 2918, 1412, 1724, 693, 476, 1704, 281, 4366, 454, 287, 7704, 636, 1676, 769, 602, 2013, 621, 568, 1034, 9090, 1269, 271, 10608, 1107, 1109, 700, 269, 674, 269, 3967, 476, 2918, 1412, 1724, 693, 476, 1704, 281, 7918, 454, 19950, 532, 269, 8729, 585, 707, 948, 269, 594, 786, 2307, 1250, 7548, 952, 789, 729, 606, 5470, 269, 1403, 711, 267, 594, 3513, 3398, 1107, 1109, 9399, 636, 1676, 3967, 476, 2918, 1412, 1724, 693, 476, 1704, 281, 6321, 454, 19651, 476, 272, 811, 6085, 692, 3080, 3364, 602, 2337, 568, 547, 1265, 3730, 2418, 269, 1403, 596, 1305, 1269, 344, 284, 271, 259, 596, 1265, 1269, 325, 263, 271, 6661, 271, 10608, 3973, 952, 1269, 343, 284, 344, 259, 596, 1205, 1269, 325, 317, 273, 263, 273, 343, 6661, 275, 325, 317, 273, 3287, 22491, 8894, 19675, 333, 1405, 602, 581, 1269, 325, 317, 273, 263, 273, 343, 7751, 593, 519, 700, 9391, 286, 1107, 1109, 700, 269, 674, 269, 3967, 476, 2918, 1412, 1724, 693, 476, 276, 281, 3607, 454, 10190, 267, 950, 596, 14458, 676, 2921, 519, 4009, 3597, 540, 1312, 5011, 267, 596, 1205, 1269, 325, 263, 273, 343, 264, 815, 476, 273, 325, 3287, 29408, 799, 594, 2907, 723, 269, 1107, 1109, 9399, 636, 1676, 3967, 476, 2918, 1412, 1724, 693, 476, 1704, 281, 5325, 454, 5417, 6085, 0, 258, 4518, 543, 15580, 10819, 281, 476, 272, 10374, 12827, 547, 16534, 6034, 1299, 769, 2091, 1160, 15251, 538, 476, 1428, 1530, 6948, 13334, 17976, 7435, 8083, 692, 2710, 528, 4614, 696, 12460, 1570, 585, 24321, 568, 5423, 676, 1158, 781, 1283, 1641, 4966, 281, 1205, 2055, 267, 4967, 267, 4255, 267, 3381, 15872, 543, 811, 268, 585, 782, 5396, 540, 24321, 780, 7476, 3381, 5850, 593, 281, 11929, 15869, 13334, 19305, 692, 1012, 1403, 476, 4366, 9093, 11554, 476, 276, 25980, 513, 4303, 2052, 570, 650, 519, 513, 12384, 18140, 538, 476, 2190, 17963, 267, 1215, 3509, 9093, 14348, 898, 6875, 11554, 476, 1015, 25980, 513, 4303, 547, 570, 650, 513, 12384, 18140, 609, 3828, 823, 519, 20099, 6904, 568, 3828, 823, 607, 10434, 538, 476, 3607, 17963, 692, 15368, 923, 630, 329, 984, 270, 1740, 7933, 2700, 264, 815, 2557, 2340, 504, 373, 942, 692, 276, 2367, 666, 798, 960, 538, 476, 1789, 2395, 269, 1215, 1082, 2395, 621, 786, 1491, 585, 476, 1015, 2367, 547, 798, 1482, 960, 780, 276, 2367, 666, 798, 476, 274, 4247, 538, 476, 1789, 2395, 269, 1215, 1082, 2367, 621, 786, 1491, 547, 798, 1079, 4247, 538, 476, 1015, 2395, 780, 2252, 476, 4366, 2367, 2324, 476, 276, 3108, 513, 1554, 666, 798, 513, 4062, 540, 960, 538, 476, 2190, 2395, 267, 538, 875, 1082, 2395, 786, 476, 3607, 2367, 2324, 476, 1015, 3108, 513, 1554, 2347, 519, 1482, 960, 780, 2252, 476, 4366, 2367, 2324, 476, 276, 3108, 513, 1554, 666, 11489, 519, 2244, 538, 476, 2190, 2395, 267, 875, 1082, 2367, 1131, 621, 1491, 2324, 476, 1015, 3108, 513, 1554, 547, 11489, 5595, 519, 2244, 799, 568, 7466, 607, 2182, 538, 476, 3607, 2395, 2496, 2252, 476, 4366, 2367, 2324, 476, 276, 3108, 513, 1554, 666, 11489, 519, 513, 4009, 4729, 538, 476, 2190, 2395, 267, 875, 1082, 2367, 1131, 621, 1491, 2324, 476, 1015, 3108, 513, 1554, 547, 11489, 513, 4009, 4729, 609, 7466, 519, 3259, 799, 568, 7466, 607, 2182, 538, 476, 3607, 2395, 780, 1103, 513, 3786, 972, 568, 2614, 1426, 585, 476, 4968, 17237, 2852, 1053, 585, 476, 1839, 2395, 269, 1403, 476, 1220, 811, 1053, 6443, 519, 3786, 267, 875, 1082, 2395, 786, 519, 1426, 2063, 2496, 1556, 1494, 1562, 1223, 1118, 476, 16960, 17428, 538, 476, 279, 2395, 269, 3767, 267, 513, 2964, 1242, 1494, 614, 401, 504, 338, 8868, 814, 2799, 741, 4398, 676, 476, 1911, 4939, 2073, 875, 1082, 1494, 1562, 786, 581, 2838, 547, 1118, 476, 30525, 17428, 538, 476, 275, 2395, 2496, 305, 600, 6238, 693, 476, 279, 281, 476, 876, 7537, 676, 17919, 547, 3914, 1153, 269, 1261, 9979, 693, 519, 3432, 540, 476, 1240, 5998, 10774, 712, 543, 10301, 519, 1153, 693, 476, 279, 281, 476, 2420, 7537, 269, 1635, 875, 1454, 1058, 646, 2333, 519, 3432, 865, 602, 646, 666, 3914, 519, 1153, 693, 476, 279, 281, 476, 1321, 7537, 2496, 9202, 476, 273, 26643, 268, 26157, 26162, 543, 10361, 3399, 692, 288, 543, 645, 666, 798, 513, 2016, 960, 538, 476, 1321, 543, 476, 1240, 2395, 6606, 269, 1358, 960, 3124, 2299, 585, 3160, 1974, 540, 942, 269, 1656, 589, 3323, 519, 960, 269, 3767, 267, 1018, 568, 519, 942, 3144, 676, 589, 543, 645, 547, 2347, 519, 2816, 2496, 14946, 539, 676, 281, 0, 1012, 2160, 8212, 609, 7073, 8212, 630, 1691, 628, 9990, 2020, 5416, 264, 1284, 666, 1265, 519, 9588, 540, 632, 5120, 566, 269, 1269, 293, 6958, 815, 12103, 259, 1269, 16936, 349, 315, 14153, 17624, 815, 12103, 259, 1269, 320, 815, 575, 349, 315, 14153, 17624, 815, 630, 280, 269, 3199, 349, 332, 4882, 317, 273, 7565, 271, 269, 3199, 7751, 1269, 320, 815, 476, 278, 269, 10019, 349, 332, 4882, 317, 273, 259, 1284, 666, 1265, 519, 16069, 3845, 269, 1269, 343, 815, 1422, 2765, 28452, 317, 273, 8686, 318, 271, 317, 273, 2410, 273, 320, 348, 815, 1422, 2765, 346, 271, 24179, 2764, 269, 278, 349, 332, 4882, 8203, 273, 2410, 263, 273, 7565, 268, 278, 269, 10019, 349, 332, 4882, 317, 273, 264, 4151, 1269, 343, 815, 476, 7367, 269, 276, 349, 332, 259, 634, 20125, 16069, 3845, 568, 476, 7367, 269, 276, 7397, 269, 630, 321, 264, 1284, 666, 1265, 519, 9588, 540, 632, 5120, 566, 269, 1269, 293, 6958, 815, 12103, 259, 1269, 16936, 349, 315, 14153, 17624, 815, 12103, 259, 1269, 320, 815, 575, 349, 315, 14153, 17624, 815, 630, 280, 269, 3199, 349, 332, 4882, 317, 273, 7565, 271, 269, 1839, 7751, 1269, 320, 815, 476, 273, 269, 3393, 349, 332, 4882, 317, 273, 259, 1284, 666, 1265, 519, 3355, 3432, 1269, 341, 318, 271, 10608, 1269, 341, 317, 273, 815, 642, 318, 271, 317, 273, 1341, 273, 1314, 259, 1269, 341, 318, 271, 317, 273, 815, 476, 271, 268, 273, 1314, 815, 910, 273, 1314, 259, 1269, 341, 318, 271, 815, 1422, 6912, 346, 24179, 273, 7565, 268, 273, 269, 3393, 349, 332, 4882, 317, 273, 7565, 7367, 269, 276, 349, 332, 264, 4151, 1269, 341, 318, 271, 815, 476, 1626, 269, 271, 349, 332, 4882, 259, 1284, 1058, 5397, 693, 513, 3432, 540, 476, 1626, 269, 271, 544, 4882, 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 ]
[ 634, 946, 540, 2371, 585, 519, 8851, 540, 5230, 8407, 689, 3037, 543, 1216, 3091, 513, 2647, 2039, 540, 5383, 563, 20684, 2010, 540, 1979, 648, 9712, 566, 543, 741, 12331, 540, 2962, 269, 24695, 339, 648, 9712, 566, 568, 513, 1979, 648, 9712, 566, 1184, 602, 3096, 1585, 2010, 540, 2371, 547, 4894, 267, 4483, 267, 24644, 267, 543, 528, 269, 589, 4961, 3391, 547, 20239, 648, 9712, 566, 7824, 3758, 267, 476, 6434, 737, 321, 8087, 2829, 2825, 4027, 8116, 267, 2029, 5647, 5604, 269, 634, 32598, 2557, 540, 20239, 648, 9712, 566, 568, 1114, 609, 2013, 676, 2013, 267, 607, 519, 2030, 2208, 729, 6766, 3362, 676, 519, 2916, 267, 3037, 2175, 543, 2359, 2853, 269, 24695, 339, 648, 9712, 566, 666, 581, 1031, 547, 632, 4186, 3133, 622, 1804, 2127, 1510, 14124, 519, 2244, 269, 9537, 540, 20239, 648, 9712, 566, 32443, 1729, 2169, 3555, 610, 32443, 1729, 3147, 636, 1637, 269, 15661, 540, 519, 12593, 23984, 926, 343, 616, 1134, 1634, 607, 2892, 1777, 26985, 2371, 609, 519, 2702, 269, 24695, 339, 648, 9712, 566, 568, 3989, 607, 519, 946, 540, 3039, 2371, 543, 741, 2404, 269, 24695, 339, 648, 9712, 566, 568, 2442, 538, 3069, 1813, 547, 922, 1970, 10661, 1942, 543, 3448, 16134, 269, 24695, 339, 648, 9712, 566, 729, 6508, 689, 824, 4610, 971, 607, 989, 25348, 267, 26216, 267, 3114, 543, 6694, 4702, 267, 8762, 5735, 267, 543, 1082, 1866, 563, 302, 559, 21383, 3210, 609, 1979, 648, 9712, 566, 8665, 1826, 552, 320, 12946, 856, 269, 21584, 20239, 648, 9712, 566, 540, 5230, 8407, 935, 32383, 543, 3156, 269, 898, 568, 513, 2029, 602, 3096, 2371, 547, 1521, 2825, 5533, 2042, 269, 24695, 339, 648, 9712, 566, 568, 519, 2012, 2016, 547, 513, 1305, 540, 4066, 602, 946, 1114, 2371, 607, 513, 2270, 618, 267, 9552, 267, 610, 606, 10868, 4480, 269, 13505, 543, 17694, 24594, 10873, 616, 2877, 547, 3927, 946, 20239, 648, 9712, 566, 269, 24695, 339, 648, 9712, 566, 949, 581, 4294, 547, 26130, 3037, 610, 11979, 1216, 1604, 269, 898, 666, 581, 1031, 547, 19140, 1518, 4609, 5627, 8407, 267, 13851, 267, 30177, 267, 14885, 1161, 267, 19020, 3282, 267, 30691, 267, 543, 25087, 682, 778, 919, 269, 24695, 1729, 2169, 3555, 32443, 1729, 3147, 636, 1637, 568, 519, 946, 540, 2371, 5409, 3147, 636, 22399, 547, 4894, 17694, 689, 519, 1604, 543, 13404, 873, 538, 1657, 3033, 2030, 5160, 18651, 1206, 267, 959, 16218, 610, 3762, 269, 6201, 1141, 20239, 648, 9712, 566, 814, 1044, 1031, 6707, 1331, 519, 11808, 540, 14460, 4496, 9553, 269, 24695, 339, 648, 9712, 566, 540, 13572, 3037, 543, 2666, 1216, 693, 269, 3629, 606, 7650, 540, 1455, 2010, 540, 17694, 543, 20239, 648, 9712, 566, 3156, 269, 772, 696, 820, 540, 519, 22803, 7135, 799, 616, 3622, 538, 25617, 610, 1950, 539, 1106, 568, 25358, 676, 3742, 610, 12809, 19718, 6127, 1369, 519, 2030, 536, 2784, 344, 267, 476, 3192, 275, 267, 6466, 19718, 540, 5214, 7135, 568, 3622, 18170, 676, 2845, 737, 269, 634, 32443, 1729, 2169, 3555, 1761, 540, 513, 2030, 2249, 568, 5631, 15658, 269, 275, 3393, 476, 8099, 276, 476, 15171, 273, 476, 279, 4792, 476, 6507, 278, 476, 29204, 476, 4281, 274, 476, 13647, 476, 279, 1626, 476, 280, 1789, 476, 279, 3451, 476, 7176, 278, 476, 27123, 476, 15757, 274, 476, 5325, 277, 476, 14321, 476, 276, 5325, 476, 13199, 274, 476, 14338, 280, 476, 14625, 476, 27843, 476, 14983, 276, 476, 26764, 476, 15704, 279, 476, 3583, 476, 13893, 271, 476, 16328, 280, 476, 14991, 476, 280, 3451, 476, 12208, 272, 476, 6200, 278, 476, 14096, 276, 476, 279, 6078, 476, 4281, 273, 476, 16318, 273, 476, 6924, 277, 0, 1432, 8279, 1058, 581, 593, 950, 1630, 908, 693, 3781, 888, 763, 2838, 8279, 616, 281, 4414, 543, 3039, 521, 14988, 2074, 7298, 689, 513, 3845, 540, 693, 2547, 1079, 5195, 2476, 29932, 952, 1447, 982, 476, 4375, 269, 275, 3952, 630, 1321, 7397, 264, 1279, 267, 693, 2547, 835, 13304, 2476, 1765, 517, 513, 4158, 267, 2312, 3781, 269, 1323, 782, 15778, 3043, 1769, 630, 604, 6077, 568, 1447, 982, 476, 4375, 269, 275, 3952, 1279, 264, 610, 1312, 513, 15958, 3650, 1769, 543, 513, 29523, 2775, 563, 4692, 594, 723, 8279, 593, 1250, 10935, 693, 3781, 888, 2791, 616, 16155, 3743, 585, 18071, 8279, 540, 519, 1697, 2681, 267, 8515, 267, 4087, 543, 15287, 593, 707, 10935, 269, 1411, 616, 2838, 547, 4159, 519, 3617, 8279, 693, 3781, 610, 1282, 2053, 540, 4389, 15287, 563, 2691, 1630, 908, 693, 3781, 1018, 1281, 513, 2582, 3043, 1769, 2995, 596, 888, 20175, 29539, 589, 281, 1879, 1152, 513, 3043, 1769, 568, 7298, 267, 596, 949, 581, 16765, 1136, 1776, 6077, 269, 12315, 1259, 547, 2901, 2427, 563, 1432, 1281, 513, 4544, 1769, 593, 513, 10935, 1611, 888, 5416, 264, 4521, 11268, 8043, 949, 4159, 513, 1166, 4770, 4544, 1769, 950, 7722, 538, 1463, 1876, 11268, 610, 1857, 3106, 2238, 269, 901, 1769, 1590, 581, 4092, 865, 602, 621, 1281, 711, 15936, 609, 519, 15287, 540, 519, 6077, 779, 12445, 8279, 563, 3963, 798, 16996, 946, 2699, 8279, 693, 3781, 888, 16446, 1769, 267, 3781, 1769, 269, 634, 1480, 3750, 568, 1447, 6213, 547, 3476, 20966, 267, 865, 2699, 1769, 568, 6074, 547, 8190, 519, 3781, 5075, 540, 519, 12284, 1247, 1869, 3850, 873, 547, 1869, 1294, 741, 6293, 8440, 563, 6701, 1769, 13063, 10363, 593, 16996, 888, 2304, 16765, 1136, 6077, 786, 1294, 513, 3043, 1769, 1152, 269, 1358, 616, 519, 2285, 1259, 6077, 952, 596, 616, 25093, 607, 1134, 607, 952, 596, 616, 693, 19671, 269, 2560, 8752, 13063, 1058, 2760, 581, 1031, 1247, 10188, 269, 0, 2467, 616, 3875, 4485, 547, 5838, 5812, 5374, 9055, 269, 1306, 8612, 676, 519, 6655, 766, 29476, 267, 5812, 5374, 26561, 666, 581, 9447, 676, 3905, 3001, 630, 19925, 476, 3199, 268, 3445, 8472, 610, 4411, 12902, 543, 4411, 5373, 630, 19925, 476, 1015, 268, 736, 22103, 634, 21536, 2280, 585, 3905, 2173, 3437, 26561, 814, 5180, 267, 4009, 610, 21657, 4689, 3824, 1824, 267, 6410, 536, 4068, 1206, 610, 5812, 5641, 12718, 5624, 267, 543, 519, 2470, 540, 519, 12718, 2312, 5540, 519, 2470, 540, 519, 12718, 269, 1703, 616, 1614, 1898, 5773, 585, 3905, 2173, 3437, 10612, 281, 476, 272, 7842, 26204, 519, 3824, 582, 610, 21536, 2280, 883, 606, 8900, 5394, 2914, 6817, 28489, 12718, 593, 519, 5309, 4221, 3684, 282, 476, 273, 12902, 519, 28795, 12718, 593, 519, 14178, 3684, 547, 12701, 856, 883, 513, 476, 274, 10759, 27647, 1242, 5374, 10612, 2282, 519, 6192, 3900, 518, 11098, 282, 476, 274, 3001, 593, 519, 11264, 2030, 634, 6192, 12718, 2838, 269, 634, 3001, 12051, 11460, 568, 28078, 3823, 519, 6574, 5007, 4560, 540, 519, 5374, 10612, 2813, 269, 634, 4436, 28553, 525, 10458, 16254, 5892, 2813, 519, 1079, 2173, 913, 3444, 2173, 8221, 14047, 1005, 3684, 538, 476, 6642, 276, 563, 763, 4485, 547, 5838, 5812, 26561, 454, 1103, 476, 6245, 272, 267, 519, 4783, 3001, 2030, 729, 2919, 269, 769, 476, 5002, 274, 267, 519, 18230, 681, 7867, 3971, 601, 2919, 519, 23553, 10612, 3001, 3684, 630, 3697, 3772, 1572, 519, 2212, 12902, 1040, 623, 6559, 3684, 1070, 543, 2663, 8604, 1114, 5686, 540, 11160, 7695, 6191, 267, 585, 1383, 267, 10770, 12718, 3001, 2371, 543, 10612, 13544, 532, 6191, 267, 543, 3323, 547, 7406, 513, 5969, 6316, 5812, 5374, 10612, 2872, 269, 4438, 519, 476, 4350, 271, 338, 267, 519, 2470, 540, 519, 5374, 10612, 729, 4824, 676, 519, 13345, 540, 513, 1614, 2173, 913, 2030, 267, 606, 16312, 31335, 267, 543, 606, 26740, 4411, 2173, 3437, 10612, 2030, 269, 4438, 519, 476, 3422, 271, 338, 267, 1317, 540, 519, 6454, 540, 10770, 3001, 2371, 267, 519, 4473, 540, 1614, 2173, 913, 5309, 4221, 6191, 267, 3226, 519, 946, 540, 8833, 32033, 6191, 543, 5812, 18530, 5624, 267, 9450, 5108, 7607, 543, 18175, 24612, 519, 4390, 540, 5812, 9055, 547, 25077, 609, 7143, 4765, 1187, 23764, 563, 7628, 519, 476, 3192, 271, 338, 267, 5812, 12992, 543, 7143, 4765, 1187, 23764, 941, 3001, 538, 6252, 267, 543, 519, 1158, 779, 5374, 10612, 5137, 9450, 693, 513, 10605, 540, 936, 476, 276, 260, 1169, 1032, 269, 2991, 476, 4198, 274, 267, 3624, 4448, 4644, 547, 519, 13120, 540, 5812, 5374, 10612, 2872, 267, 543, 814, 693, 1101, 8032, 513, 5137, 5943, 585, 12902, 1114, 11999, 267, 5420, 543, 2370, 12992, 269, 21019, 9055, 616, 4122, 10123, 8246, 538, 519, 3824, 582, 2312, 3001, 22815, 1424, 267, 3001, 2030, 3001, 267, 1225, 331, 14178, 1184, 269, 5358, 4364, 3001, 1187, 6773, 5108, 2290, 540, 519, 4485, 547, 1711, 5812, 5374, 9055, 269, 634, 5137, 10591, 13408, 540, 513, 5309, 4221, 3684, 267, 513, 23553, 3001, 12051, 267, 513, 1377, 532, 3684, 267, 513, 7893, 3684, 543, 513, 1487, 1356, 563, 763, 5309, 4221, 3684, 568, 7363, 8246, 585, 1079, 2173, 913, 3444, 2173, 8221, 27934, 269, 634, 5180, 21536, 2280, 568, 25649, 883, 606, 8900, 5394, 2914, 6817, 8546, 630, 327, 1515, 3697, 12718, 1070, 543, 519, 9723, 1695, 1177, 802, 540, 519, 1079, 7575, 2497, 513, 1793, 5896, 6316, 609, 519, 3001, 1899, 269, 700, 2299, 267, 519, 28550, 6316, 814, 1044, 9450, 689, 476, 277, 4113, 547, 476, 1321, 4113, 547, 476, 1724, 4113, 547, 476, 1704, 4113, 267, 799, 2656, 839, 519, 11579, 7992, 6991, 269, 634, 5137, 540, 5374, 1187, 23764, 609, 513, 8700, 540, 811, 982, 476, 7742, 7825, 3096, 18593, 27934, 547, 24390, 519, 3900, 518, 11098, 540, 519, 28795, 269, 1715, 5773, 267, 585, 1383, 267, 6422, 9187, 7627, 513, 728, 6676, 14047, 1005, 267, 2022, 1790, 2313, 27934, 267, 13398, 5305, 543, 28023, 1283, 13841, 723, 10123, 12913, 1978, 9283, 267, 538, 713, 6073, 17923, 519, 27934, 5650, 543, 5355, 519, 2470, 540, 519, 28489, 563, 25284, 4364, 12718, 24208, 3684, 24305, 5394, 2914, 6817, 13740, 883, 13581, 3774, 539, 13740, 269, 1280, 519, 1034, 851, 267, 1310, 476, 273, 547, 476, 274, 10596, 267, 519, 11098, 540, 519, 6192, 6221, 568, 6410, 547, 606, 782, 856, 11098, 540, 827, 476, 272, 269, 279, 547, 476, 273, 269, 273, 269, 4595, 519, 476, 3192, 271, 338, 267, 2582, 3766, 777, 9663, 992, 539, 7575, 267, 10917, 1229, 5374, 8265, 6216, 1079, 19507, 1796, 7008, 3001, 15327, 267, 1079, 19507, 2230, 6292, 3001, 2371, 543, 16370, 267, 585, 1383, 267, 9764, 9843, 723, 4824, 5108, 7145, 543, 12913, 12957, 540, 3001, 14200, 269, 272, 10759, 4009, 4496, 8685, 532, 454, 763, 21501, 3684, 568, 1500, 856, 540, 476, 274, 547, 476, 1321, 8728, 267, 543, 519, 1487, 1356, 568, 1500, 856, 540, 476, 1321, 547, 476, 2190, 8728, 267, 543, 519, 6175, 8167, 568, 1472, 476, 274, 547, 476, 2764, 10065, 634, 8833, 1487, 1356, 602, 4951, 909, 1282, 519, 476, 4198, 271, 338, 6417, 519, 3900, 518, 11098, 609, 5078, 2604, 1247, 19249, 519, 1847, 3432, 543, 1447, 2287, 519, 3845, 2066, 269, 634, 1007, 2604, 1487, 1356, 568, 4122, 1614, 268, 28948, 1826, 267, 609, 476, 1240, 547, 476, 2764, 8728, 267, 519, 1034, 3665, 6482, 6175, 2557, 568, 476, 3199, 9077, 519, 3900, 518, 6175, 2557, 568, 476, 4510, 9077, 543, 519, 24214, 3432, 568, 476, 1240, 6515, 585, 1169, 2034, 269, 634, 2604, 1487, 1356, 814, 519, 2721, 3724, 540, 5394, 2287, 693, 519, 1079, 26088, 267, 543, 666, 581, 530, 21317, 856, 676, 968, 19491, 3740, 1852, 4724, 519, 851, 540, 519, 20476, 664, 543, 2766, 892, 610, 9910, 4405, 1242, 4336, 8833, 6175, 563, 25284, 4364, 3001, 15327, 634, 2356, 8246, 11460, 723, 5007, 9883, 2066, 540, 476, 1911, 7825, 267, 476, 9610, 7825, 267, 476, 7742, 7825, 543, 476, 6110, 7825, 267, 543, 3132, 5007, 8700, 476, 1704, 349, 275, 2918, 7825, 5374, 9055, 269, 634, 1770, 568, 17814, 676, 519, 3119, 771, 29664, 618, 593, 519, 5309, 4221, 3684, 267, 519, 8990, 2242, 616, 5051, 22537, 267, 543, 519, 9165, 540, 5137, 1028, 677, 906, 568, 811, 3573, 269, 5221, 540, 519, 6454, 540, 1875, 17380, 3001, 5647, 267, 4559, 9944, 476, 9610, 6515, 616, 2760, 1586, 14475, 563, 763, 4630, 4094, 6500, 2497, 568, 899, 519, 5309, 7815, 269, 634, 2601, 585, 519, 1377, 532, 568, 547, 26565, 540, 519, 6418, 543, 9018, 2627, 20541, 687, 543, 519, 14248, 328, 10364, 640 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 288, 14165, 540, 513, 22403, 568, 11021, 602, 519, 22403, 568, 519, 3788, 540, 1945, 4666, 267, 972, 1721, 547, 723, 513, 22403, 596, 723, 519, 3788, 540, 1945, 4666, 610, 8854, 269, 834, 2467, 568, 513, 22403, 1934, 257, 910, 339, 22736, 827, 1945, 602, 814, 8854, 543, 786, 2760, 2132, 855, 568, 711, 2965, 513, 22403, 269, 3267, 0, 16485, 539, 538, 2622, 2782, 476, 272, 454, 7617, 2197, 1185, 519, 4102, 7952, 1282, 1158, 594, 888, 2691, 2622, 2782, 594, 13264, 856, 538, 476, 4489, 275, 267, 519, 6739, 7276, 1185, 519, 1158, 781, 4102, 7555, 7952, 267, 609, 5111, 476, 9610, 1822, 271, 7980, 593, 3742, 10279, 4429, 16485, 539, 538, 631, 4106, 7559, 454, 7617, 2197, 814, 519, 1158, 781, 4102, 7952, 888, 2252, 596, 2811, 6158, 827, 1175, 519, 7555, 7952, 540, 2834, 338, 267, 621, 1131, 581, 519, 24447, 6243, 540, 3624, 269, 1717, 267, 10476, 781, 11439, 4229, 267, 799, 616, 8185, 882, 5050, 593, 4164, 26090, 543, 824, 12150, 4229, 267, 798, 856, 15893, 519, 4457, 269, 4429, 16485, 539, 538, 2622, 2782, 476, 273, 267, 2475, 6406, 2782, 454, 1432, 2197, 1185, 519, 4102, 7952, 1282, 519, 1977, 6406, 2782, 888, 763, 4102, 8121, 300, 312, 729, 519, 5742, 267, 538, 3013, 269, 634, 4102, 631, 6579, 3951, 14473, 3196, 729, 6628, 267, 5631, 1317, 540, 621, 781, 26010, 269, 4429, 1432, 568, 519, 8772, 11359, 4102, 7555, 7952, 538, 519, 1158, 888, 763, 8772, 4102, 568, 3345, 9705, 543, 519, 11359, 568, 6576, 269, 630, 291, 17827, 676, 2179, 540, 3742, 10986, 264, 4429, 16485, 539, 538, 2782, 543, 13639, 3778, 454, 13553, 4102, 7555, 7952, 538, 519, 1158, 888, 763, 2034, 28376, 7555, 4108, 538, 519, 1158, 568, 519, 2136, 2276, 540, 3013, 630, 13627, 269, 476, 272, 267, 23884, 267, 1822, 1040, 1100, 267, 2822, 23176, 569, 4636, 269, 955, 268, 922, 28960, 8656, 799, 814, 519, 2034, 4102, 7952, 538, 519, 1158, 630, 8099, 1822, 271, 264, 543, 8087, 1533, 568, 711, 1256, 3368, 1259, 1862, 922, 1472, 630, 5325, 278, 8517, 1040, 596, 666, 2638, 856, 811, 693, 476, 9339, 268, 5291, 2517, 4178, 6230, 777, 810, 325, 16447, 2593, 11320, 5454, 31795, 268, 1084, 11320, 5454, 31795, 268, 1084, 28029, 1845, 2914, 603, 28376, 268, 1301, 625, 2173, 777, 11258, 9811, 2953, 7330, 568, 476, 277, 628, 4102, 7952, 538, 519, 1158, 855, 2029, 8797, 621, 814, 1454, 1732, 269, 2475, 814, 476, 273, 526, 4102, 8028, 20937, 8121, 300, 312, 594, 3267, 0, 763, 2551, 2450, 540, 4993, 4262, 21495, 729, 4389, 547, 827, 513, 18797, 538, 519, 2038, 476, 736, 628, 2540, 267, 5097, 1813, 454, 1729, 936, 327, 2863, 532, 269, 634, 2551, 2450, 814, 2094, 6450, 15903, 267, 543, 972, 616, 1631, 5215, 540, 4262, 21495, 269, 6904, 540, 519, 1739, 1131, 596, 711, 2503, 547, 1294, 538, 1699, 5095, 540, 4993, 4262, 21495, 888, 288, 269, 6333, 762, 4719, 26340, 1143, 454, 289, 269, 15020, 1970, 2157, 540, 4719, 8390, 454, 290, 269, 15020, 1906, 10636, 27340, 748, 2043, 454, 291, 269, 20212, 538, 27446, 4908, 1063, 1699, 5095, 540, 4262, 21495, 543, 3140, 5095, 454, 292, 269, 2353, 519, 1657, 1131, 581, 2938, 538, 4262, 21495, 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 ]
[ 0, 763, 1085, 528, 4221, 3002, 538, 4728, 543, 4989, 1765, 334, 1553, 6053, 519, 5614, 4005, 538, 3345, 3127, 1765, 572, 14855, 3833, 8966, 547, 670, 752, 600, 962, 611, 822, 267, 513, 16027, 538, 8496, 27256, 21423, 779, 1744, 643, 335, 19441, 8664, 269, 1261, 267, 899, 1082, 824, 6705, 540, 519, 1858, 267, 1185, 521, 1144, 22323, 24568, 519, 4126, 602, 899, 2063, 1032, 267, 646, 786, 1205, 513, 1434, 7693, 269, 1809, 547, 1010, 10982, 599, 267, 713, 4769, 1406, 4755, 269, 589, 3002, 24859, 12544, 1974, 540, 23494, 3905, 4365, 20546, 532, 519, 3328, 2837, 540, 513, 3148, 676, 476, 275, 269, 276, 9180, 547, 476, 277, 269, 275, 9180, 1700, 338, 1002, 339, 1229, 1010, 9909, 267, 607, 646, 4769, 1406, 1205, 1256, 3368, 540, 519, 3977, 646, 2356, 4991, 563, 5719, 915, 539, 676, 519, 7334, 4365, 267, 962, 611, 822, 1767, 267, 968, 4002, 513, 1906, 14026, 899, 2063, 1032, 267, 519, 4365, 568, 22150, 269, 1809, 1419, 267, 7334, 22856, 543, 3819, 28542, 538, 4832, 1711, 5458, 2042, 585, 721, 1848, 0, 2108, 301, 5446, 606, 3979, 19746, 2666, 538, 8956, 540, 513, 10553, 8227, 543, 513, 20752, 267, 568, 899, 20803, 513, 6014, 28200, 538, 8956, 540, 13609, 269, 898, 568, 11207, 30849, 3034, 6347, 309, 3198, 2793, 295, 267, 12821, 269, 630, 11266, 25446, 289, 264, 5130, 476, 1321, 267, 476, 1708, 272, 454, 27916, 609, 27254, 14205, 20087, 568, 513, 3140, 1514, 5126, 11036, 2324, 547, 29428, 606, 796, 5658, 539, 7810, 1412, 27078, 549, 645, 1722, 532, 16140, 262, 4092, 538, 519, 4099, 540, 14205, 20087, 267, 11908, 269, 634, 19746, 2666, 729, 11280, 538, 476, 12293, 274, 543, 568, 1631, 476, 28670, 1296, 2025, 563, 1103, 476, 1001, 278, 267, 700, 4768, 328, 10370, 976, 10272, 11908, 585, 513, 2046, 7552, 602, 30122, 3576, 513, 10143, 1033, 712, 883, 3013, 779, 7810, 2250, 269, 968, 4407, 2921, 513, 6972, 15293, 4663, 540, 14205, 20087, 267, 519, 4663, 3391, 5018, 513, 15555, 528, 827, 513, 20807, 539, 3979, 19746, 2666, 269, 2334, 17275, 1250, 1719, 547, 1265, 856, 952, 519, 6228, 540, 519, 19746, 2666, 729, 1249, 610, 5708, 2223, 1767, 10370, 976, 563, 2690, 811, 982, 476, 736, 1296, 267, 700, 4768, 328, 10370, 976, 814, 1044, 513, 30508, 2518, 1650, 339, 11839, 543, 3561, 4115, 269, 2701, 568, 519, 2278, 540, 25035, 281, 1323, 1977, 9452, 543, 568, 519, 674, 10133, 540, 32633, 6758, 18225, 269, 2701, 568, 849, 1134, 1634, 607, 513, 19784, 267, 28910, 23031, 267, 543, 19829, 563, 1103, 476, 1708, 271, 267, 10370, 976, 3573, 3140, 1382, 543, 29287, 19792, 960, 11552, 691, 1117, 519, 1459, 6377, 4087, 540, 519, 19746, 2666, 269, 2701, 729, 849, 2111, 547, 3489, 513, 11908, 13163, 540, 27148, 18837, 1867, 827, 513, 7810, 15693, 1336, 693, 519, 3135, 269, 634, 14205, 20087, 27391, 531, 19964, 814, 9896, 606, 4013, 1382, 3948, 267, 30260, 602, 519, 4975, 1152, 814, 5638, 540, 1079, 4703, 17938, 25390, 689, 519, 19746, 2666, 563, 299, 344, 976, 849, 9250, 519, 10163, 609, 27254, 14205, 20087, 11036, 543, 8399, 539, 609, 2146, 23793, 3646, 3842, 519, 2199, 2046, 267, 1857, 5691, 11401, 543, 2686, 3292, 563, 306, 822, 20087, 5129, 513, 2101, 1909, 538, 9591, 519, 10412, 543, 7573, 24914, 538, 3013, 267, 799, 941, 23185, 676, 10553, 4074, 267, 543, 1500, 3013, 5393, 3638, 269, 634, 24914, 543, 519, 20665, 4563, 1004, 689, 4000, 543, 519, 12144, 602, 5249, 593, 873, 2813, 519, 5748, 540, 519, 1977, 4346, 563, 1103, 476, 6977, 271, 519, 4975, 540, 14205, 20087, 6806, 519, 27740, 645, 1722, 532, 16140, 513, 6390, 3979, 645, 1722, 532, 16140, 543, 2699, 525, 11220, 519, 2230, 607, 1079, 1857, 10945, 630, 1706, 802, 264, 910, 1510, 3001, 519, 12617, 4703, 563, 3080, 540, 519, 10945, 729, 3957, 6519, 7615, 12384, 538, 8956, 540, 1234, 3164, 526, 6723, 6519, 7615, 267, 945, 729, 835, 540, 519, 27428, 540, 519, 6396, 626, 5939, 543, 835, 540, 519, 3119, 1004, 3743, 585, 16765, 9506, 11908, 779, 7333, 593, 8474, 563, 763, 824, 4009, 729, 3957, 2836, 327, 1735, 12384, 538, 8956, 540, 3627, 595, 269, 2836, 327, 1735, 267, 519, 18979, 605, 1606, 18561, 21470, 5518, 540, 519, 2136, 2276, 543, 519, 20752, 12835, 3743, 585, 2870, 519, 6138, 540, 3557, 779, 7126, 267, 14275, 2305, 543, 694, 20896, 689, 519, 5742, 563, 299, 344, 976, 11099, 519, 3979, 19746, 2666, 13315, 6519, 7615, 12384, 267, 2836, 327, 1735, 12384, 543, 2230, 538, 1063, 519, 10945, 269, 968, 301, 5446, 606, 3979, 19746, 2666, 538, 8956, 540, 6519, 7615, 543, 2836, 327, 1735, 267, 568, 899, 20803, 513, 6014, 28200, 538, 8956, 540, 13609, 269, 898, 568, 11207, 30849, 1848, 1767, 10370, 976, 563, 2026, 513, 3210, 547, 713, 1025, 520, 656, 957, 540, 12250, 10168, 267, 15516, 269, 10370, 976, 9250, 513, 21936, 538, 5147, 476, 1708, 271, 5291, 2517, 4178, 269, 4219, 3820, 270, 6135, 5976, 327, 517, 832, 822, 20087, 547, 3142, 3007, 547, 519, 19746, 2666, 543, 2953, 519, 1514, 21440, 269, 634, 21936, 568, 513, 1289, 540, 2962, 585, 519, 4975, 540, 14205, 20087, 2229, 8387, 547, 798, 519, 1739, 912, 272, 269, 12079, 6053, 5431, 519, 630, 273, 264, 10945, 607, 513, 7810, 3979, 19746, 2666, 563, 273, 269, 11412, 877, 2836, 327, 1735, 12384, 543, 6519, 7615, 12384, 563, 274, 269, 9255, 1344, 12508, 538, 519, 10945, 563, 275, 269, 13363, 519, 3979, 19746, 2666, 3842, 519, 2817, 5244, 6796, 610, 607, 513, 20648, 2622, 11595, 13505, 563, 276, 269, 12706, 513, 18189, 585, 519, 19746, 2666, 563, 299, 344, 976, 5612, 3459, 2679, 513, 22687, 540, 14205, 20087, 2146, 2818, 547, 948, 6318, 4656, 827, 519, 19746, 12406, 262, 6228, 543, 922, 2956, 269, 589, 14205, 20087, 19191, 1767, 968, 299, 4768, 328, 568, 513, 10971, 754, 269, 4173, 960, 543, 1382, 24019, 1018, 649, 2141, 6785, 12725, 282, 649, 1175, 4769, 1406, 723, 519, 21533, 269, 1284, 941, 1031, 547, 6972, 25708, 543, 941, 2141, 5143, 602, 972, 729, 513, 19746, 2666, 972, 267, 12341, 269, 1284, 1175, 4769, 1406, 917, 1141, 3034, 299, 344, 976, 849, 6603, 856, 547, 12691, 16167, 547, 1489, 1200, 3646, 269, 1234, 3164, 526, 7917, 10557, 10001, 267, 513, 13956, 656, 540, 519, 20752, 4937, 7917, 661, 269, 10557, 814, 15597, 7150, 267, 968, 4002, 15773, 540, 8885, 607, 513, 13956, 656, 540, 513, 10553, 8227, 543, 513, 13956, 656, 540, 513, 20752, 4937, 267, 594, 1616, 547, 900, 874, 5597, 543, 14955, 3431, 1289, 585, 713, 1689, 547, 4755, 538, 14205, 20087, 269, 634, 942, 568, 1631, 547, 2232, 1018, 568, 8345, 538, 938, 2197, 267, 855, 538, 938, 2250, 607, 1134, 267, 543, 547, 581, 9237, 609, 621, 3034, 7021, 519, 1296, 267, 700, 4768, 328, 10370, 976, 814, 21490, 1200, 1378, 2619, 543, 10660, 1229, 2059, 519, 1259, 269, 769, 1769, 540, 1200, 9058, 6602, 267, 10370, 976, 568, 1631, 519, 15445, 10615, 540, 519, 10163, 609, 27254, 711, 16519, 17416, 3919, 267, 2324, 585, 1514, 5126, 543, 2686, 11091, 269, 634, 3919, 568, 1631, 11018, 21936, 22782, 547, 16155, 556, 4067, 519, 10945, 563, 306, 822, 20087, 779, 3979, 645, 1722, 532, 16140, 568, 3844, 547, 3013, 781, 2239, 827, 5198, 267, 4984, 267, 543, 2112, 269, 898, 19262, 547, 581, 13166, 16033, 730, 1317, 621, 568, 513, 2101, 851, 540, 1977, 3778, 269, 4563, 2729, 2339, 538, 519, 2250, 543, 1459, 563, 2414, 1129, 519, 10163, 609, 27254, 14205, 20087, 19541, 3643, 281, 5291, 2517, 4178, 269, 4219, 3820, 270, 6135, 5976, 327, 517, 832, 822, 20087, 269, 7427, 519, 3350, 593, 9365, 543, 17749, 7711, 6135, 5976, 327, 517, 832, 822, 20087, 0, 763, 3902, 540, 5201, 543, 3154, 814, 6603, 796, 19960, 514, 762, 2594, 1164, 338, 267, 8840, 835, 2594, 1310, 1776, 936, 519, 2063, 1032, 267, 2523, 538, 2487, 3275, 269, 1809, 713, 1966, 568, 711, 2189, 547, 8050, 282, 2342, 568, 4867, 2469, 998, 2352, 2053, 267, 543, 713, 4473, 538, 5777, 814, 1185, 513, 1463, 1198, 593, 519, 22836, 540, 6800, 540, 891, 5370, 267, 1818, 621, 7543, 585, 1082, 540, 873, 547, 2628, 741, 1648, 12014, 1169, 3923, 267, 799, 267, 3773, 547, 519, 1249, 602, 649, 616, 6849, 513, 2916, 6595, 267, 814, 3366, 811, 543, 811, 2477, 547, 1118, 946, 540, 6046, 1648, 269, 5333, 543, 519, 2136, 8003, 12167, 713, 1648, 607, 513, 1883, 3693, 538, 5870, 938, 1648, 2115, 267, 607, 1134, 607, 4543, 547, 2569, 8511, 3154, 5434, 269, 4913, 267, 5103, 519, 1249, 602, 6046, 1648, 814, 1044, 10451, 7521, 585, 5756, 267, 2063, 5412, 267, 519, 3864, 8189, 7150, 602, 713, 2504, 1131, 2744, 2597, 543, 1131, 581, 2808, 607, 834, 30236, 1648, 2668, 634, 3864, 5742, 786, 1902, 3368, 513, 18265, 20789, 338, 538, 1007, 10570, 26119, 1063, 1631, 543, 476, 13078, 271, 585, 519, 5912, 547, 1232, 12365, 1242, 1648, 7868, 1788, 4843, 547, 519, 9167, 268, 2767, 676, 519, 3864, 8189, 1131, 849, 2832, 547, 3895, 2342, 781, 1648, 7115, 267, 2016, 922, 5230, 13829, 593, 6576, 267, 799, 7727, 476, 4343, 260, 540, 922, 2067, 3154, 5861, 584, 1370, 569, 267, 5176, 476, 14596, 26119, 5001, 3761, 6046, 1379, 547, 1896, 6082, 267, 9256, 585, 5111, 476, 1015, 260, 540, 519, 1158, 781, 5201, 269, 4014, 930, 2477, 616, 7432, 547, 6046, 1379, 607, 513, 2973, 1648, 2707, 267, 6046, 1379, 5108, 814, 4810, 513, 3500, 6658, 2094, 922, 8445, 538, 519, 476, 1960, 271, 338, 269, 2026, 713, 3349, 2982, 267, 1152, 476, 1428, 2477, 786, 2272, 585, 811, 982, 476, 11011, 260, 540, 2518, 6046, 1379, 2504, 538, 476, 1708, 271, 267, 2687, 547, 1239, 689, 519, 5295, 1234, 18503, 6176, 3590, 630, 11266, 3041, 1040, 763, 2136, 2276, 7472, 811, 982, 476, 2004, 260, 540, 519, 2197, 781, 2973, 5201, 998, 6046, 1379, 267, 1247, 3624, 568, 519, 1158, 781, 2034, 4102, 6046, 1379, 16073, 269, 901, 2197, 2882, 1114, 4566, 547, 3035, 922, 2916, 6859, 267, 971, 607, 519, 4070, 540, 476, 5611, 1007, 26119, 676, 476, 10711, 276, 267, 513, 1788, 602, 1223, 1942, 909, 547, 476, 24496, 5479, 20789, 338, 20166, 11017, 687, 593, 713, 1648, 538, 519, 3864, 5742, 616, 6404, 269, 5333, 568, 538, 3791, 1747, 538, 519, 20823, 2016, 602, 922, 2504, 4564, 476, 1724, 269, 274, 9077, 3592, 593, 513, 1612, 609, 519, 7489, 2197, 269, 3943, 5518, 2506, 28609, 5839, 1258, 814, 9307, 1010, 9837, 547, 10131, 519, 4070, 540, 1007, 26119, 547, 5710, 519, 1699, 18239, 267, 799, 12958, 476, 3583, 260, 540, 519, 2197, 781, 5201, 267, 855, 824, 9167, 2477, 723, 1044, 1427, 545, 550, 827, 29761, 262, 23318, 547, 2015, 6046, 1648, 607, 513, 834, 13582, 257, 4492, 269, 769, 713, 2631, 267, 4352, 5125, 16034, 21632, 538, 519, 20823, 267, 621, 814, 2907, 6806, 1614, 540, 922, 3670, 6046, 1379, 2371, 267, 543, 676, 519, 1439, 540, 476, 1708, 273, 621, 4566, 547, 2673, 782, 10570, 2504, 16638, 519, 2013, 540, 8050, 267, 938, 2197, 16034, 27630, 538, 519, 20823, 267, 609, 476, 273, 269, 273, 9077, 2705, 267, 713, 786, 711, 2063, 1279, 269, 634, 15445, 814, 2016, 476, 1240, 3275, 547, 1544, 519, 19479, 540, 6046, 1379, 2371, 543, 676, 476, 10711, 276, 519, 5722, 10512, 26119, 602, 519, 2197, 814, 786, 581, 6806, 269, 8601, 519, 19385, 766, 540, 3864, 2477, 547, 2226, 713, 10570, 2504, 267, 891, 616, 538, 2490, 519, 3283, 602, 8532, 519, 1034, 6046, 1648, 267, 1519, 5333, 267, 1141, 621, 568, 519, 2197, 781, 4102, 2707, 540, 5201, 269, 898, 568, 849, 8049, 602, 1906, 540, 873, 616, 519, 3056, 12696, 540, 6046, 1379, 538, 6207, 2474, 267, 607, 538, 519, 2013, 540, 30355, 25474, 799, 16034, 2034, 267, 6046, 1379, 6589, 585, 476, 7871, 269, 277, 260, 540, 519, 5201, 3575, 267, 4352, 519, 2197, 781, 2185, 26119, 2272, 585, 1447, 982, 476, 272, 260, 540, 519, 2949, 10512, 4390, 269, 898, 568, 4553, 676, 281, 12907, 630, 7906, 269, 273, 15992, 21640, 630, 4366, 269, 271, 15992, 31697, 630, 2412, 269, 279, 15992, 19934, 630, 4375, 269, 272, 15992, 6215, 8576, 807, 630, 4391, 269, 279, 8472, 543, 16231, 6243, 630, 4391, 269, 274, 22103, 763, 2136, 2276, 267, 29285, 267, 16034, 476, 1704, 628 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 24658, 10466, 543, 1744, 1752, 532, 538, 6611, 16709, 692, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 1831, 606, 16106, 543, 1491, 513, 3460, 998, 9018, 2230, 286, 1306, 649, 3136, 547, 2263, 543, 1451, 811, 827, 519, 7122, 3564, 938, 4541, 3047, 267, 621, 781, 1898, 547, 1174, 930, 2189, 2591, 5185, 676, 20691, 1107, 2523, 950, 621, 2501, 547, 7863, 2933, 689, 5739, 2230, 5982, 256, 2913, 781, 4685, 883, 713, 4241, 1888, 1927, 780, 4089, 476, 272, 281, 1548, 568, 2230, 5982, 888, 5785, 21387, 2026, 1480, 7919, 267, 649, 2661, 896, 3047, 781, 8825, 5790, 543, 6419, 2361, 267, 799, 957, 607, 15865, 695, 3658, 1996, 5906, 2230, 5982, 269, 1717, 267, 2899, 649, 14679, 856, 883, 2230, 267, 891, 20038, 1100, 3476, 2291, 267, 6028, 721, 6534, 547, 1114, 2010, 540, 7920, 5982, 269, 1703, 616, 1079, 3119, 2959, 540, 971, 5982, 1384, 2162, 9891, 24658, 454, 4322, 5536, 2097, 2786, 689, 519, 6129, 3294, 269, 4438, 5712, 540, 2799, 3859, 2534, 1572, 2608, 338, 6897, 1166, 4100, 24682, 519, 6129, 13847, 7372, 28377, 540, 1648, 5627, 3810, 9901, 5536, 269, 901, 17615, 6908, 666, 2800, 1312, 2713, 1919, 543, 5907, 3937, 952, 789, 7237, 922, 2619, 1282, 2230, 2951, 780, 2162, 8895, 12519, 15328, 6193, 681, 904, 454, 19284, 3859, 5982, 267, 7523, 12519, 17184, 12345, 22132, 2484, 3564, 938, 1378, 3859, 1062, 269, 1358, 2874, 540, 5393, 3728, 2173, 8221, 1016, 30061, 5536, 18965, 547, 5176, 1769, 3432, 1813, 547, 3532, 24666, 2621, 899, 31975, 2801, 30762, 269, 4595, 891, 5536, 4865, 10373, 1648, 2157, 267, 789, 10460, 4049, 6937, 547, 16106, 1072, 543, 3106, 1282, 6905, 13978, 538, 2230, 780, 4089, 476, 273, 281, 12186, 540, 2230, 5982, 593, 3425, 454, 14343, 19567, 2750, 17068, 547, 2230, 5982, 666, 1291, 547, 1896, 8801, 2360, 593, 1480, 1072, 269, 2368, 2009, 4539, 1331, 1384, 265, 2878, 28053, 983, 28100, 4995, 4400, 20589, 5536, 666, 2458, 728, 609, 8444, 1369, 938, 2281, 267, 4929, 3441, 547, 5027, 22204, 269, 1403, 2451, 796, 10517, 8529, 267, 713, 1223, 1267, 538, 13592, 3056, 547, 2860, 1646, 563, 265, 2878, 23338, 32471, 748, 3590, 12983, 4995, 1160, 14075, 539, 4598, 949, 2014, 14715, 4713, 7133, 5042, 5759, 267, 3965, 2530, 267, 543, 11558, 2152, 563, 265, 2878, 10907, 1393, 24658, 15540, 630, 12678, 264, 4995, 4746, 1634, 607, 1412, 2784, 2747, 19210, 10086, 8121, 306, 4386, 1310, 8650, 267, 2110, 3856, 4598, 547, 1360, 1164, 13066, 540, 9357, 1944, 5982, 269, 12580, 2039, 689, 15353, 267, 13481, 267, 9854, 267, 8611, 267, 4552, 2530, 267, 543, 1256, 2669, 4470, 2390, 10335, 780, 4089, 476, 274, 281, 27986, 20691, 689, 2230, 5982, 454, 24801, 13430, 3086, 602, 649, 917, 875, 13818, 2230, 5982, 666, 581, 1577, 781, 1865, 2081, 8030, 543, 3744, 960, 2509, 10893, 519, 1981, 15054, 676, 873, 1384, 2162, 7698, 19139, 454, 26807, 2326, 616, 1732, 693, 16069, 5982, 982, 1866, 269, 1280, 3236, 267, 7250, 11656, 22169, 267, 1216, 267, 543, 4874, 26120, 3927, 10110, 22571, 1336, 538, 3859, 5982, 269, 11531, 267, 8407, 899, 11956, 267, 4401, 267, 543, 7601, 1683, 7850, 8878, 1996, 18219, 12274, 11342, 538, 7523, 12519, 17184, 12345, 269, 1635, 5402, 8939, 3617, 4070, 2326, 267, 8030, 1711, 7347, 9249, 11259, 547, 21774, 676, 5739, 5536, 780, 2162, 23305, 5071, 454, 763, 1374, 540, 5624, 4721, 4249, 513, 2629, 1909, 1932, 269, 589, 30305, 2497, 9967, 540, 2789, 6821, 9674, 676, 2011, 10616, 3091, 9120, 4187, 3379, 547, 2582, 5394, 7496, 1317, 1142, 4494, 25309, 513, 6712, 540, 19670, 5982, 267, 4227, 2949, 6771, 269, 5047, 267, 17208, 7252, 1219, 937, 9901, 5536, 2476, 689, 31269, 3330, 780, 2162, 25080, 29425, 1299, 11272, 932, 1173, 525, 454, 25369, 6419, 4610, 6383, 1472, 5624, 4721, 666, 948, 31818, 9901, 5536, 267, 1247, 9797, 12123, 519, 6928, 781, 16538, 2627, 1065, 1564, 11874, 9901, 3283, 269, 22034, 3167, 10997, 21176, 2488, 1776, 1899, 540, 8878, 7258, 2168, 7496, 780, 6962, 454, 29603, 22129, 3408, 6799, 6909, 3255, 585, 3621, 6602, 282, 2705, 267, 3875, 2591, 1590, 581, 9619, 547, 2327, 16106, 3106, 269, 7324, 1346, 267, 3384, 2500, 2994, 547, 2149, 12284, 2818, 689, 14686, 2230, 5982, 3788, 14063, 269, 3414, 5499, 6272, 267, 5100, 1570, 5079, 267, 543, 6932, 4066, 267, 30768, 786, 3136, 11319, 6302, 2417, 883, 519, 5318, 7164, 10301, 540, 519, 26355, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 6022, 5448, 6428, 1067, 517, 14114, 685, 289, 31151, 454, 13356, 4575, 2436, 610, 711, 547, 723, 3214, 568, 606, 1271, 1272, 3375, 267, 543, 972, 616, 513, 2603, 540, 13279, 596, 723, 547, 3382, 1354, 1818, 602, 20014, 269, 1411, 723, 547, 1589, 827, 707, 2078, 267, 707, 2883, 6617, 267, 543, 19315, 267, 2230, 5982, 540, 1576, 269, 9717, 519, 4028, 4720, 540, 2029, 543, 519, 3395, 1719, 538, 2230, 3408, 267, 3744, 3589, 602, 8103, 1522, 32427, 622, 812, 2740, 13485, 883, 2620, 2230, 538, 519, 5266, 2282, 2104, 630, 4486, 5320, 1934, 1373, 968, 7758, 8271, 5608, 30073, 1040, 6736, 938, 1699, 6639, 7687, 267, 3744, 616, 2907, 10442, 519, 1082, 4220, 2404, 609, 1279, 3856, 2230, 2951, 267, 835, 540, 799, 568, 5982, 269, 9453, 519, 4027, 540, 3047, 779, 5790, 543, 6419, 2361, 267, 7103, 616, 1641, 547, 1585, 3029, 540, 2178, 5982, 602, 15449, 622, 519, 12511, 540, 2230, 269, 1452, 1331, 3859, 5982, 689, 519, 3141, 607, 1134, 607, 7523, 12519, 17184, 12345, 23608, 689, 3544, 938, 3859, 1062, 269, 6270, 1164, 20589, 5982, 568, 2352, 547, 695, 1408, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20238, 2747, 10466, 543, 1744, 1752, 532, 257, 607, 851, 540, 834, 306, 11799, 1315, 6611, 3163, 1315, 6611, 16709, 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, 898, 729, 7260, 3781, 693, 519, 2199, 2146, 4099, 267, 543, 519, 6249, 713, 3018, 729, 968, 12218, 545, 1977, 17912, 25578, 1848, 634, 4055, 729, 4904, 609, 1004, 540, 782, 6502, 267, 23362, 32261, 519, 1376, 540, 519, 4670, 780, 2026, 519, 8279, 3897, 4364, 267, 8861, 267, 513, 1762, 2852, 2875, 945, 8067, 1229, 693, 519, 4099, 267, 22283, 909, 547, 6338, 519, 10543, 781, 4183, 6881, 269, 2701, 1224, 16965, 519, 12092, 540, 7917, 17286, 6577, 667, 12320, 718, 267, 10223, 1010, 11141, 4876, 607, 606, 1977, 17076, 543, 8689, 267, 543, 678, 3430, 1782, 1055, 519, 3875, 934, 565, 3547, 646, 1185, 4607, 936, 519, 1296, 780, 257, 32452, 2437, 26866, 1229, 5484, 267, 513, 1647, 27070, 812, 9361, 1985, 547, 8861, 267, 834, 296, 4769, 1405, 8275, 1175, 875, 12913, 6004, 269, 667, 12320, 718, 5963, 568, 3010, 27880, 20493, 269, 834, 8133, 267, 621, 781, 3833, 7415, 269, 1656, 9522, 697, 267, 649, 3513, 723, 519, 4316, 547, 1294, 1864, 538, 835, 540, 1010, 1034, 11599, 5107, 1107, 607, 8751, 670, 10402, 538, 634, 2696, 15289, 3010, 13051, 10709, 539, 1394, 538, 1010, 10160, 267, 5693, 24330, 269, 834, 11039, 267, 594, 1590, 2161, 267, 596, 6157, 917, 875, 547, 4584, 873, 267, 7323, 907, 3010, 24679, 781, 8861, 2437, 1352, 18056, 1864, 9900, 269, 834, 4517, 9684, 596, 269, 594, 2119, 1250, 1655, 547, 1118, 2386, 1169, 7260, 3781, 1934, 568, 2027, 3010, 2026, 519, 6679, 17099, 18202, 267, 8861, 7948, 1405, 948, 855, 1745, 10583, 540, 1200, 3646, 269, 2701, 6068, 4687, 1200, 6612, 585, 21576, 609, 1866, 267, 2523, 950, 621, 3357, 547, 15386, 519, 960, 540, 16805, 5159, 899, 7917, 667, 12320, 718, 780, 19602, 267, 2066, 4884, 267, 1776, 1367, 729, 849, 10452, 593, 519, 1272, 543, 4876, 540, 519, 22644, 539, 17076, 269, 25455, 267, 513, 1164, 1153, 6749, 719, 267, 1336, 5128, 1166, 6235, 998, 9055, 3735, 835, 3781, 950, 646, 16686, 2390, 513, 24794, 8826, 17245, 827, 667, 12320, 718, 269, 2271, 29098, 676, 1018, 646, 4718, 267, 25455, 4956, 547, 798, 930, 1382, 540, 1010, 1378, 780, 3891, 3533, 4362, 602, 1082, 540, 519, 9413, 12286, 30326, 538, 519, 17245, 941, 2907, 1851, 25455, 781, 29202, 269, 1261, 5433, 513, 9490, 737, 29023, 609, 519, 812, 593, 31653, 267, 16734, 789, 3838, 2147, 10080, 543, 4690, 269, 1280, 519, 1101, 942, 538, 513, 1279, 1247, 267, 25455, 3459, 547, 2015, 519, 7872, 540, 7432, 1010, 1272, 1472, 780, 7021, 519, 1576, 540, 1896, 4374, 267, 25455, 27153, 5128, 538, 1565, 811, 827, 7917, 667, 12320, 718, 543, 824, 9565, 5515, 538, 21035, 269, 20405, 569, 855, 15983, 267, 646, 3323, 547, 5431, 519, 1871, 540, 2182, 960, 267, 11428, 267, 543, 16177, 269, 1452, 7907, 267, 25455, 7691, 267, 941, 1898, 952, 646, 2479, 12479, 547, 3035, 1967, 538, 1022, 2361, 780, 3080, 1554, 267, 1247, 7234, 1010, 16012, 6667, 609, 513, 3659, 267, 25455, 4121, 827, 606, 14232, 2912, 819, 585, 513, 2199, 14364, 2504, 269, 4014, 11688, 26938, 693, 1101, 267, 646, 6038, 4956, 547, 2285, 621, 513, 8929, 269, 1677, 1010, 9983, 267, 646, 15354, 519, 1291, 1909, 780, 12988, 693, 519, 2146, 4099, 267, 2262, 3262, 6385, 827, 25455, 781, 22920, 269, 4634, 8861, 4862, 26866, 619, 540, 1010, 17636, 543, 7948, 1405, 948, 855, 1745, 513, 2631, 540, 11348, 6616, 1352, 5129, 513, 1507, 851, 538, 26354, 1010, 1719, 780, 3719, 711, 3025, 729, 4278, 2683, 676, 25455, 781, 6727, 4473, 547, 21239, 269, 3571, 5449, 2828, 267, 945, 1869, 804, 2426, 547, 741, 22672, 1652, 2081, 267, 8057, 5051, 23279, 540, 1010, 1967, 269, 1358, 6836, 547, 561, 675, 1864, 1394, 883, 741, 16160, 6197, 267, 28409, 1864, 547, 10205, 1010, 9909, 543, 6443, 873, 2899, 1586, 538, 741, 2832, 1652, 18697, 780, 293, 6136, 267, 7064, 547, 519, 8797, 1913, 540, 7917, 667, 12320, 718, 543, 519, 9118, 3108, 6170, 28798, 1010, 4739, 267, 25455, 6444, 519, 8594, 4191, 543, 15189, 547, 13151, 3518, 547, 31112, 269, 5502, 267, 646, 8359, 547, 3295, 5128, 609, 11215, 2043, 945, 3838, 1010, 5075, 585, 513, 17321, 2104, 780, 1103, 519, 1439, 267, 25455, 781, 3375, 6976, 1055, 3946, 727, 569, 269, 3502, 1152, 1705, 646, 14133, 538, 1010, 3942, 12644, 267, 855, 646, 849, 12236, 513, 14172, 547, 7390, 513, 20380, 7900, 6575, 1153, 269, 1306, 646, 14095, 1010, 11435, 585, 713, 3078, 1007, 3184, 538, 1010, 1272, 267, 25455, 6785, 646, 7640, 539, 1454, 540, 1010, 1967, 547, 519, 3310, 540, 7917, 667, 12320, 718, 543, 519, 1379, 540, 21576, 780, 13349, 23281, 16497, 1299, 4317, 595, 1132, 1384, 265, 10434, 960, 267, 11428, 267, 543, 16177, 616, 1883, 3334, 540, 8236, 1967, 563, 265, 28259, 532, 13951, 609, 11215, 2043, 666, 7494, 1764, 2123, 2208, 543, 1646, 563, 265, 20876, 543, 9319, 5906, 7506, 568, 2629, 538, 4509, 1445, 593, 835, 781, 3853, 563, 265, 19457, 18653, 609, 1866, 666, 8300, 1689, 543, 9797, 1860, 2729, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 12585, 519, 1739, 2243, 281, 1548, 1826, 540, 3877, 827, 29122, 5918, 341, 718, 476, 666, 581, 10356, 689, 519, 1739, 6915, 286, 476, 12713, 281, 29122, 13276, 6577, 5918, 341, 718, 910, 331, 337, 321, 268, 4535, 23891, 4231, 476, 276, 2073, 476, 4350, 272, 910, 31014, 321, 268, 568, 606, 7819, 17076, 543, 8689, 1547, 646, 814, 1044, 9930, 3990, 585, 5722, 30028, 17758, 910, 331, 337, 321, 268, 10888, 585, 1010, 2773, 538, 12181, 13035, 24271, 625, 15234, 910, 31014, 321, 268, 2073, 5722, 11344, 5895, 525, 910, 331, 337, 321, 268, 10888, 2185, 910, 31014, 321, 268, 2073, 543, 814, 2789, 9930, 5209, 543, 835, 3094, 1142, 540, 519, 536, 10762, 320, 2073, 5496, 11051, 1368, 843, 8366, 2073, 543, 900, 3240, 8366, 1547, 646, 4607, 519, 3084, 30407, 540, 6575, 538, 476, 1220, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2022, 269, 2701, 19942, 803, 519, 11127, 543, 6700, 594, 7227, 2394, 594, 3893, 1753, 547, 1930, 621, 267, 538, 2422, 938, 4845, 556, 23116, 547, 3533, 1689, 707, 1257, 267, 5037, 267, 610, 4845, 256, 521, 269, 8298, 538, 585, 811, 1344, 269, 476, 273, 269, 1496, 300, 316, 1496, 307, 316, 27016, 538, 1899, 267, 5225, 269, 476, 27768, 269, 3973, 596, 946, 1346, 834, 24175, 2248, 687, 257, 547, 1205, 606, 7357, 1007, 543, 2189, 4845, 610, 5037, 269, 581, 269, 7227, 256, 2296, 269, 27016, 585, 513, 2034, 4960, 269, 834, 12812, 547, 3346, 721, 585, 513, 2656, 543, 2653, 10839, 2668, 1677, 7227, 593, 1864, 543, 803, 269, 15579, 593, 281, 1031, 585, 10213, 2576, 547, 3247, 610, 7227, 273, 269, 3245, 519, 4677, 621, 6743, 899, 606, 818, 13118, 269, 476, 276, 2798, 751, 325, 1415, 15879, 288, 2006, 276, 18542, 476, 6349, 269, 1704, 269, 1001, 277, 269, 18578, 344, 4769, 1405, 7227, 585, 1200, 267, 543, 1352, 16686, 4464, 269, 31808, 2367, 7227, 585, 4316, 267, 855, 519, 2178, 2367, 1118, 621, 269, 2433, 1358, 8452, 693, 519, 6413, 1175, 1310, 476, 275, 600, 543, 621, 729, 1287, 7227, 543, 1294, 585, 513, 1297, 540, 3108, 269, 1230, 24503, 725, 269, 476, 11463, 1806, 281, 1261, 1185, 31372, 1510, 3001, 267, 7555, 6006, 3613, 650, 593, 519, 4871, 267, 890, 1359, 883, 769, 1022, 2013, 267, 972, 729, 4986, 602, 7948, 1405, 7227, 547, 581, 5941, 693, 1753, 269, 10558, 23120, 570, 1619, 269, 18049, 18963, 269, 27016, 585, 513, 7008, 540, 7643, 543, 2972, 519, 1007, 4528, 540, 519, 1257, 269, 4320, 318, 1575, 811, 318, 3200, 269, 27016, 2394, 2417, 5469, 269, 568, 513, 2241, 4845, 267, 1317, 621, 666, 1796, 593, 922, 1378, 269, 630, 14075, 267, 11995, 267, 17890, 264, 834, 1284, 1185, 513, 2110, 7227, 693, 519, 4387, 781, 5604, 269, 2052, 1405, 596, 7227, 11489, 594, 993, 4712, 547, 2161, 1945, 286, 717, 333, 987, 334, 267, 7227, 596, 585, 1200, 256, 2296, 18049, 538, 5053, 563, 268, 2290, 27336, 4474, 1280, 24627, 15928, 9061, 5320, 454, 268, 24006, 1722, 4825, 841, 2991, 13044, 454, 268, 661, 671, 523, 23580, 623, 338, 276, 13437, 25042, 22375, 454, 268, 594, 7251, 268, 1015, 4400, 11485, 26579, 3689, 2558, 30478, 454, 268, 717, 869, 25899, 28691, 629, 518, 454, 268, 674, 2335, 773, 631, 2801, 14716, 3562, 12656, 2006, 550, 13832, 454, 268, 17292, 548, 4252, 8111, 32697, 454, 268, 32539, 2986, 4635, 681, 1846, 769, 3194, 454, 268, 9185, 6406, 7177, 454, 268, 4210, 2454, 4438, 26579, 281, 15486, 454, 268, 4446, 560, 944, 10361, 18392, 15740, 454, 268, 20769, 6670, 19833, 11724, 894, 6428, 776, 454, 268, 25350, 18669, 17925, 27096, 344, 1763, 19409, 454, 268, 9031, 328, 15510, 769, 27257, 454, 268, 645, 2084, 560, 5803, 3414, 634, 13012, 454, 268, 20128, 1518, 11545, 17186, 31932, 454, 268, 966, 626, 4673, 20031, 1756, 19004, 1530, 1846, 4139, 454, 268, 645, 1819, 623, 7701, 595, 2590, 564, 18701, 0, 763, 4224, 532, 7504, 16771, 4259, 269, 1548, 568, 519, 4259, 540, 634, 9412, 532, 21696, 12736, 1676, 286, 476, 1708, 273, 268, 1015, 268, 1691, 454, 763, 4224, 532, 7504, 16771, 4259, 28951, 912, 10454, 9412, 532, 6953, 16017, 12736, 1676, 257, 568, 513, 2110, 1650, 676, 667, 13034, 269, 18039, 602, 729, 1101, 3370, 538, 476, 4572, 277, 269, 634, 4259, 540, 519, 1650, 568, 513, 14547, 267, 5580, 11665, 2296, 7622, 538, 519, 476, 4572, 271, 338, 563, 763, 1650, 7740, 1472, 513, 1762, 7911, 3957, 6754, 543, 1010, 31117, 609, 10888, 2724, 998, 13989, 593, 7504, 14797, 269, 6754, 3587, 18617, 602, 646, 666, 3589, 519, 23602, 540, 891, 14797, 998, 513, 16750, 4276, 609, 1010, 4224, 532, 7504, 267, 799, 646, 26055, 535, 969, 1836, 538, 1931, 547, 4309, 891, 11236, 563, 763, 4259, 540, 519, 1650, 4249, 513, 1713, 1909, 538, 5935, 519, 3197, 543, 519, 2621, 540, 519, 1650, 269, 634, 7622, 538, 799, 6754, 2729, 568, 4330, 607, 1373, 4904, 609, 606, 834, 684, 342, 3128, 13135, 257, 5790, 267, 6825, 676, 606, 834, 11274, 775, 540, 2648, 1701, 901, 5790, 568, 2813, 676, 6754, 781, 3993, 267, 945, 568, 18930, 539, 609, 1570, 5763, 543, 4567, 543, 945, 7683, 5360, 1622, 827, 519, 1920, 781, 3668, 540, 2724, 269, 901, 31117, 609, 5763, 568, 5293, 1524, 547, 6754, 267, 945, 3587, 4368, 730, 593, 10888, 2724, 538, 1931, 547, 2744, 1010, 3993, 781, 2648, 543, 13170, 563, 763, 5763, 540, 519, 7622, 568, 849, 13269, 607, 1373, 513, 18348, 532, 3310, 267, 3056, 547, 513, 2631, 540, 1303, 1856, 618, 543, 25796, 1145, 1851, 519, 1920, 2818, 269, 6754, 781, 11515, 267, 945, 568, 4330, 607, 513, 834, 8243, 691, 257, 812, 267, 568, 8348, 547, 914, 593, 7504, 14797, 543, 1491, 4220, 609, 2724, 538, 1931, 547, 2226, 1010, 20662, 880, 6197, 269, 901, 22672, 1652, 2623, 6038, 5012, 547, 6754, 781, 27757, 267, 607, 646, 3587, 5051, 18930, 539, 609, 10888, 2724, 543, 6038, 10523, 689, 1010, 13287, 540, 621, 563, 14454, 267, 519, 4259, 540, 834, 763, 9412, 532, 6953, 16017, 12736, 1676, 257, 5713, 607, 513, 16555, 593, 519, 18348, 532, 3310, 540, 5763, 543, 519, 16160, 1379, 540, 1570, 1143, 269, 898, 849, 8711, 519, 14124, 2360, 540, 513, 3668, 540, 2648, 543, 15754, 538, 513, 1920, 6422, 267, 607, 6754, 781, 26525, 3406, 585, 13170, 543, 2648, 6038, 5012, 547, 1010, 13249, 1439, 563, 1432, 568, 519, 4259, 585, 834, 763, 9412, 532, 454, 8601, 519, 3604, 1312, 1936, 2209, 3112, 2697, 1063, 4641, 543, 5708, 269, 9282, 789, 6560, 547, 2226, 23079, 3617, 547, 741, 1362, 7555, 267, 789, 723, 1082, 12743, 3753, 269, 5502, 267, 1352, 1175, 19876, 338, 9887, 538, 7199, 8288, 619, 269, 2701, 568, 20807, 539, 676, 519, 2093, 540, 9939, 543, 2724, 269, 1879, 646, 530, 1389, 909, 267, 646, 6645, 1010, 3993, 602, 646, 666, 1294, 883, 519, 2104, 543, 6487, 799, 9640, 616, 2469, 547, 3094, 14797, 269, 2334, 568, 1317, 782, 2818, 538, 602, 1920, 1175, 19060, 585, 741, 2115, 267, 2724, 267, 9939, 543, 865, 593, 267, 543, 15991, 2628, 1022, 3007, 547, 1142, 824, 781, 6418, 4555, 269, 634, 2539, 5049, 538, 4789, 1705, 711, 723, 971, 12743, 3753, 607, 562, 2335, 625, 610, 22063, 267, 543, 6157, 1705, 711, 723, 519, 942, 610, 2702, 547, 6494, 741, 1453, 547, 16681, 3506, 563, 3080, 1554, 646, 5143, 1010, 3993, 602, 646, 1185, 9939, 543, 646, 6785, 1010, 3993, 1705, 711, 3494, 1864, 269, 901, 568, 519, 1753, 602, 670, 6856, 8843, 609, 1200, 9393, 543, 741, 1453, 269, 2701, 568, 2141, 3168, 585, 2081, 547, 1118, 811, 2724, 267, 1256, 952, 621, 1797, 27531, 1200, 1378, 1920, 269, 1677, 798, 865, 267, 646, 13290, 547, 7118, 2724, 676, 13989, 593, 7504, 14797, 269, 901, 25997, 1864, 547, 979, 856, 543, 1265, 9939, 593, 1010, 1378, 269, 1717, 267, 1352, 4166, 3587, 18930, 539, 609, 13989, 543, 6238, 7836, 782, 540, 741, 2724, 593, 621, 269, 1548, 568, 634, 9412, 532, 6953, 16017, 12736, 1676, 5758, 286, 3414, 519, 476, 276, 2609, 540, 11470, 519, 5467, 568, 2111, 547, 1732, 1174, 519, 1650, 634, 9412, 532, 6953, 16017, 12736, 1676, 563, 26046, 540, 4259, 538, 519, 834, 1492, 9412, 532, 21696, 12736, 1676, 257, 676, 2483, 269, 2290, 2278, 16297, 338, 519, 5467, 267, 1247, 519, 824, 20964, 519, 5943, 540, 519, 1650, 269, 5637, 3197, 723, 5059, 2390, 835, 8004, 799, 789, 1747, 782, 741, 15754, 269, 9717, 782, 540, 891, 10881, 267, 621, 568, 2922, 547, 8263, 602, 519, 1650, 568, 8197, 1305, 538, 4789, 267, 538, 513, 2362, 11665, 8378, 1141, 519, 1920, 568, 2604, 323, 883, 4509, 513, 5763, 1512, 6197, 269, 1548, 568, 519, 4259, 540, 634, 9412, 532, 21696, 12736, 1676, 286, 2701, 568, 2141, 5275, 811, 2724, 267, 1256, 547, 519, 1448, 602, 519, 2777, 3294, 9789, 4259, 1765, 572, 2114, 547, 22090, 704, 827, 621, 7683, 269, 2701, 3788, 18930, 539, 609, 2724, 543, 4567, 267, 543, 5170, 547, 10714, 1200, 824, 1453, 269, 898, 568, 1767, 602, 2542, 5339, 1568, 568, 811, 982, 1175, 4259, 519, 4064, 593, 835, 1367, 1650, 610, 1776, 563, 26046, 540, 4259, 538, 519, 834, 1492, 9412, 532, 21696, 12736, 1676, 257, 676, 19966, 2421, 454, 2704, 534, 3243, 523, 568, 519, 1762, 267, 2648, 13351, 523, 267, 5326, 619, 540, 519, 13683, 625, 19882, 883, 835, 269, 1284, 2760, 1294, 6754, 4734, 519, 2777, 267, 799, 561, 1742, 513, 804, 320, 755, 5268, 11131, 2298, 547, 1010, 6228, 972, 269, 2701, 814, 6754, 4584, 9640, 585, 1200, 547, 914, 593, 543, 1352, 6238, 10888, 513, 2603, 540, 2724, 269, 634, 6821, 540, 519, 2777, 3100, 547, 22090, 704, 281, 1703, 1590, 581, 811, 2724, 256, 4256, 3992, 568, 602, 1919, 616, 711, 2141, 607, 789, 2408, 547, 581, 269, 901, 2243, 568, 2760, 2047, 7150, 538, 519, 1650, 3294, 267, 865, 596, 786, 723, 547, 946, 23221, 267, 610, 13473, 7058, 525, 267, 1759, 593, 10881, 2429, 519, 1650, 563, 763, 2422, 540, 17553, 538, 968, 1492, 20769, 6670, 892, 543, 968, 1492, 9412, 532, 2483, 3891, 4667, 547, 723, 513, 2648, 585, 1272, 269, 634, 9412, 532, 21696, 12736, 1676, 568, 1305, 538, 4789, 538, 519, 476, 4572, 271, 338, 269, 23340, 27711, 602, 782, 8941, 17589, 689, 513, 2582, 1650, 538, 1215, 547, 3367, 9085, 6145, 513, 7905, 585, 8866, 269, 594, 4126, 602, 1346, 4555, 948, 513, 3787, 282, 1434, 9939, 256, 901, 729, 513, 942, 540, 1390, 1689, 543, 30331, 10052, 267, 609, 519, 2360, 540, 2622, 2782, 594, 1869, 1373, 5433, 269, 1284, 917, 621, 568, 1305, 538, 4789, 1317, 6754, 7475, 909, 25919, 593, 519, 3541, 2421, 543, 6754, 786, 581, 2366, 547, 661, 2023, 267, 513, 4583, 2296, 1857, 1018, 4892, 1131, 1289, 4357, 1153, 585, 5580, 11665, 8695, 269, 2701, 12134, 1864, 1946, 646, 26055, 621, 865, 1454, 543, 646, 6645, 1200, 602, 646, 568, 3843, 547, 1118, 621, 979, 5488, 865, 602, 646, 666, 3094, 14797, 269, 2991, 2072, 267, 538, 519, 1439, 267, 6754, 6645, 1200, 646, 568, 513, 18822, 835, 563, 763, 1650, 3568, 8100, 547, 4890, 5198, 9640, 689, 713, 942, 1974, 269, 13298, 267, 621, 814, 1044, 6700, 602, 782, 2009, 4296, 1063, 1079, 610, 811, 1568, 616, 3144, 883, 9270, 865, 607, 547, 3914, 547, 1732, 1620, 540, 782, 269, 901, 1650, 568, 827, 513, 2370, 7911, 3957, 6754, 945, 568, 3843, 547, 2744, 2648, 543, 15754, 689, 1010, 6067, 9037, 3993, 269, 634, 7099, 540, 634, 9412, 532, 6953, 16017, 12736, 1676, 568, 835, 540, 18418, 566, 543, 519, 3159, 568, 835, 540, 18354, 269, 1809, 18039, 3096, 971, 3376, 18116, 547, 4766, 1010, 4259, 602, 646, 15387, 513, 7242, 545, 267, 5326, 3697, 267, 18912, 2389, 1446, 2298, 269, 14936, 267, 519, 6249, 540, 519, 744, 539, 7625, 13216, 568, 8268, 998, 519, 2078, 1063, 6754, 543, 1010, 3993, 269, 901, 21379, 1952, 1465, 1152, 2620, 839, 607, 519, 1650, 4422, 593, 267, 607, 649, 1294, 875, 1200, 31117, 609, 2724, 543, 4567, 814, 3366, 1200, 547, 10714, 1200, 1378, 5067, 563, 9515, 6645, 1864, 602, 519, 16771, 568, 519, 835, 945, 4991, 519, 1034, 21098, 525, 689, 741, 3993, 269, 30546, 22939, 942, 609, 30464, 9116, 543, 6754, 538, 29430, 5244, 5507, 781, 4102, 10424, 6288, 6902, 6754, 13922, 547, 7390, 1010, 4651, 781, 620, 2742, 544, 831, 693, 661, 2023, 5441, 282, 1133, 2193, 30546, 814, 513, 1753, 538, 24900, 593, 519, 7013, 5032, 540, 4789, 282, 543, 835, 540, 519, 2462, 14797, 538, 519, 1650, 568, 693, 519, 12493, 17813, 322, 6847, 267, 1753, 540, 519, 12493, 7435, 545, 777, 269, 634, 9412, 532, 6953, 16017, 12736, 1676, 568, 513, 2110, 1650, 676, 667, 269, 634, 9412, 532, 6953, 16017, 12736, 1676, 568, 513, 1650, 827, 513, 1762, 7911, 945, 13290, 547, 948, 1010, 1920, 676, 4742, 513, 804, 1515, 341, 1195, 656, 269, 18039, 6424, 29464, 18039, 729, 606, 2296, 19829, 267, 29787, 543, 10564, 269, 8081, 2497, 540, 519, 1650, 13797, 269, 1809, 1256, 950, 646, 1281, 1205, 1200, 3007, 998, 1010, 10516, 540, 10888, 593, 519, 5198, 1817, 572, 267, 621, 1152, 5012, 547, 1010, 2669, 563, 2414, 798, 865, 267, 646, 3217 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2707, 269, 769, 930, 2665, 267, 621, 949, 581, 2556, 547, 2973, 513, 1216, 3761, 1210, 20841, 8166, 563, 4415, 1697, 1416, 267, 1034, 11259, 661, 269, 19546, 5563, 666, 581, 5701, 269, 1403, 596, 14353, 602, 596, 723, 1044, 7783, 610, 723, 26438, 513, 11259, 661, 269, 19546, 3968, 267, 3346, 707, 4387, 1318, 2476, 585, 2126, 3681, 563, 1432, 4523, 952, 596, 723, 15084, 11259, 661, 269, 19546, 888, 2252, 596, 723, 15084, 11259, 661, 269, 19546, 267, 621, 1797, 602, 519, 4551, 814, 1831, 14388, 547, 519, 15084, 2126, 7363, 1031, 547, 8396, 621, 269, 25095, 8438, 4187, 4386, 950, 4551, 11457, 519, 2702, 547, 16641, 519, 5061, 1031, 547, 1521, 519, 3968, 267, 3976, 1818, 621, 2352, 610, 1256, 7543, 547, 1521, 519, 3968, 609, 2757, 2409, 563, 1607, 568, 2356, 519, 1267, 540, 936, 6748, 11216, 267, 607, 4551, 666, 1831, 11259, 547, 513, 1978, 15084, 950, 621, 568, 1031, 1932, 1419, 563, 12901, 756, 8438, 11259, 661, 269, 19546, 666, 581, 1360, 5906, 267, 607, 621, 666, 3262, 1360, 3362, 538, 1426, 610, 1216, 543, 2014, 3978, 10108, 538, 1004, 945, 3824, 652, 621, 269, 32035, 609, 15084, 11259, 661, 269, 19546, 666, 1419, 2014, 4049, 8374, 543, 811, 3978, 10108, 267, 3379, 547, 5563, 609, 1875, 15033, 12490, 563, 4322, 5563, 666, 581, 2523, 3978, 950, 519, 1268, 568, 2907, 7092, 689, 824, 1072, 2175, 267, 607, 519, 4551, 666, 3533, 3262, 1813, 547, 519, 18604, 4761, 1062, 563, 293, 6136, 267, 972, 616, 824, 2409, 540, 8156, 15084, 11259, 661, 269, 19546, 269, 1452, 2409, 2039, 689, 22475, 3384, 1007, 5061, 610, 11257, 602, 616, 5827, 540, 11318, 519, 11259, 4551, 267, 547, 519, 946, 540, 2067, 14319, 543, 22763, 267, 799, 666, 948, 547, 7794, 519, 1560, 779, 1378, 8878, 1062, 543, 1118, 621, 811, 5827, 540, 8165, 519, 3968, 563, 4692, 11259, 4551, 581, 23174, 888, 8133, 267, 11259, 4551, 666, 581, 23174, 269, 2755, 930, 11259, 4551, 723, 1100, 1634, 5574, 267, 519, 5354, 540, 15084, 15033, 9190, 5563, 666, 1869, 581, 5701, 609, 11216, 269, 1677, 3927, 8396, 11259, 4551, 267, 621, 568, 1271, 547, 20688, 519, 946, 540, 11216, 547, 519, 1826, 540, 3968, 602, 568, 1459, 563, 1607, 1797, 602, 707, 3782, 8502, 1590, 3313, 519, 1655, 1576, 540, 2126, 585, 519, 1808, 1826, 540, 11259, 4551, 596, 616, 7231, 609, 269, 901, 1184, 3340, 519, 946, 540, 4359, 10368, 2645, 543, 8047, 4255, 563, 12234, 267, 1978, 11216, 949, 960, 1732, 1996, 1978, 11259, 3566, 5362, 267, 865, 621, 568, 1271, 547, 960, 609, 707, 3782, 8502, 547, 3313, 519, 1034, 2500, 2126, 1544, 269, 769, 930, 2665, 267, 513, 4999, 540, 1896, 11216, 949, 581, 2877, 547, 3927, 1521, 519, 11259, 4551, 563, 12234, 267, 23833, 3800, 949, 581, 5227, 971, 607, 4657, 2732, 543, 6197, 547, 2087, 519, 1560, 779, 4761, 1062, 269, 769, 930, 2665, 267, 1875, 268, 656, 756, 8438, 5574, 971, 607, 6391, 267, 5982, 3797, 267, 18068, 543, 7463, 5574, 949, 581, 1031, 563, 7197, 11932, 267, 621, 568, 1271, 547, 2347, 519, 2407, 8653, 540, 519, 15084, 2126, 1544, 607, 11311, 538, 1931, 547, 2327, 519, 4551, 798, 711, 1831, 2417, 11259, 563, 3674, 9190, 4187, 8628, 888, 289, 17424, 4187, 568, 711, 8209, 8628, 269, 11790, 971, 607, 519, 8833, 540, 4551, 267, 519, 1826, 540, 21734, 8665, 1031, 543, 519, 1604, 538, 799, 789, 2170, 666, 782, 3313, 519, 18094, 540, 9190, 4187, 563, 2690, 3236, 267, 950, 1210, 513, 3566, 328, 21301, 630, 320, 3644, 602, 6285, 543, 19754, 4551, 264, 547, 1521, 513, 8833, 540, 4551, 602, 814, 1044, 5892, 6534, 547, 519, 1482, 3566, 328, 21301, 267, 4187, 547, 519, 2126, 786, 2693, 6414, 563, 4002, 519, 824, 1688, 267, 952, 519, 4551, 723, 711, 1044, 6534, 547, 513, 1880, 21734, 8665, 5892, 267, 519, 4551, 949, 711, 1020, 4187, 607, 3362, 543, 949, 581, 811, 11630, 547, 2126, 269, 1717, 267, 713, 1281, 711, 1611, 602, 4187, 3112, 1020, 282, 621, 1152, 1797, 602, 4187, 547, 519, 21734, 8665, 1373, 1031, 949, 711, 581, 607, 2178, 610, 2154, 513, 3476, 1974, 540, 4598, 1354, 519, 4551, 10953, 4187, 563, 12234, 267, 519, 1604, 538, 799, 519, 4551, 616, 16271, 547, 513, 1880, 21734, 8665, 949, 849, 1404, 513, 1909, 538, 519, 1646, 543, 18094, 540, 4187, 269, 1280, 3236, 267, 952, 519, 11248, 568, 6534, 547, 519, 21734, 8665, 538, 606, 1604, 602, 19330, 1978, 5567, 610, 2175, 20009, 547, 519, 1646, 540, 4187, 267, 713, 949, 3648, 6175, 519, 10171, 540, 4187, 3384, 563, 1432, 547, 798, 952, 4551, 568, 11259, 547, 782, 11216, 888, 2252, 4551, 568, 11259, 547, 782, 11216, 267, 519, 1655, 1576, 540, 2962, 568, 547, 5077, 609, 513, 2564, 3318, 607, 4166, 607, 2009, 269, 589, 4387, 610, 824, 3782, 8502, 786, 581, 2111, 547, 13209, 519, 2013, 543, 21559, 1022, 2556, 5574, 610, 6527, 563, 27039, 593, 519, 10335, 540, 519, 3968, 267, 14595, 3681, 899, 2067, 14319, 610, 27179, 5061, 949, 581, 2556, 269, 5015, 267, 23833, 3800, 1058, 581, 3144, 547, 2327, 519, 3968, 1281, 711, 556, 24593, 563, 1607, 949, 1331, 9319, 2238, 610, 3536, 602, 723, 8329, 547, 519, 4551, 267, 971, 607, 10977, 538, 1857, 20115, 267, 2921, 11216, 950, 789, 616, 711, 2556, 267, 610, 711, 11067, 3946, 1310, 15700, 13572, 7252, 563, 2005, 568, 849, 1271, 547, 5431, 1022, 3606, 2589, 602, 949, 1459, 267, 971, 607, 8611, 267, 669, 1571, 267, 543, 10770, 14331, 267, 607, 891, 666, 948, 609, 519, 5868, 543, 2126, 563, 4692, 4761, 1062, 4339, 11259, 4551, 888, 8133, 267, 519, 4761, 1062, 666, 4339, 11259, 4551, 267, 4352, 621, 568, 513, 811, 2352, 543, 7294, 4161, 269, 3509, 540, 519, 9604, 602, 519, 4761, 1062, 12346, 593, 616, 711, 607, 2500, 1996, 21734, 15033, 4551, 267, 1317, 891, 4551, 723, 2919, 13592, 602, 1118, 873, 811, 2352, 547, 4323, 563, 2414, 4339, 21734, 15033, 4551, 267, 519, 4761, 1062, 2115, 547, 4410, 513, 2178, 543, 13455, 3210, 269, 898, 1281, 713, 676, 6721, 7463, 3043, 1973, 2281, 602, 666, 5431, 543, 4323, 519, 4551, 563, 1103, 606, 11763, 4259, 267, 891, 2281, 616, 5950, 3533, 543, 538, 1164, 9424, 547, 2149, 519, 1560, 267, 855, 538, 519, 2013, 540, 11259, 4551, 267, 519, 2281, 1590, 960, 9875, 543, 3476, 547, 9004, 519, 3463, 563, 763, 4761, 1062, 849, 14049, 3278, 519, 946, 540, 12489, 547, 4339, 21734, 15033, 4551, 269, 25095, 3672, 666, 4481, 3077, 543, 12622, 547, 1978, 9190, 6675, 267, 7303, 873, 689, 4929, 2417, 3968, 563, 1607, 1808, 6284, 2636, 519, 4761, 1062, 547, 2697, 543, 4323, 11259, 4551, 269, 769, 1840, 267, 519, 4761, 1062, 666, 946, 519, 6675, 3812, 676, 519, 1560, 779, 1378, 4551, 607, 513, 14049, 547, 7519, 543, 2061, 519, 2208, 540, 11259, 4551, 563, 3528, 1210, 513, 4999, 540, 2238, 543, 2994, 267, 519, 4761, 1062, 666, 4339, 11259, 4551, 269, 2755, 621, 568, 711, 606, 2653, 6370, 267, 519, 1560, 814, 519, 1761, 547, 3094, 267, 952, 2016, 519, 1697, 2200, 543, 1489, 563, 1692, 666, 649, 2569, 11259, 4551, 888, 305, 14445, 532, 11259, 4551, 568, 513, 3818, 1922, 14239, 1935, 602, 5956, 609, 13302, 519, 946, 540, 11216, 269, 3683, 2224, 540, 11216, 5012, 547, 4551, 3384, 4187, 267, 865, 952, 649, 666, 2569, 519, 1297, 540, 11216, 1373, 1031, 538, 3425, 267, 649, 666, 2569, 519, 11944, 540, 11259, 4551, 563, 5194, 3815, 568, 547, 2569, 519, 3262, 540, 11259, 4551, 269, 901, 666, 581, 2944, 998, 4824, 9882, 267, 7303, 519, 3262, 540, 2068, 267, 543, 1697, 19455, 269, 898, 568, 849, 1271, 547, 2087, 13184, 2359, 543, 3110, 2787, 547, 2569, 519, 2179, 540, 11216, 1031, 538, 519, 5779, 2872, 563, 7661, 267, 6608, 543, 2564, 4648, 991, 547, 2936, 3292, 547, 3713, 267, 6895, 267, 543, 1867, 1022, 2665, 540, 15084, 15033, 4551, 865, 602, 7459, 666, 581, 3144, 3533, 543, 3617, 11257, 666, 581, 11311, 563, 1692, 3978, 568, 18521, 615, 747, 807, 19546, 538, 10729, 888, 292, 2675, 615, 747, 807, 19546, 630, 292, 269, 19546, 264, 538, 10729, 666, 581, 513, 3978, 6161, 952, 621, 568, 31916, 269, 1403, 513, 10729, 2528, 30397, 713, 4551, 267, 621, 3622, 1797, 602, 513, 17256, 8778, 3968, 630, 308, 2316, 264, 568, 1459, 269, 772, 30454, 616, 3622, 9286, 607, 2901, 9296, 6088, 610, 7294, 563, 4462, 1260, 6088, 772, 30454, 616, 1346, 602, 2049, 538, 2550, 711, 693, 1981, 585, 29083, 2175, 267, 6466, 7294, 772, 30454, 2049, 538, 2550, 609, 606, 5817, 2564, 2783, 610, 11630, 547, 824, 5563, 563, 292, 269, 19546, 538, 10729, 568, 513, 3978, 1072, 6161, 602, 1058, 581, 5701, 609, 11216, 1317, 621, 666, 1291, 547, 8459, 5563, 543, 1256, 25687, 269, 12580, 540, 513, 772, 2316, 949, 1331, 513, 7928, 991, 547, 2712, 3729, 267, 31063, 610, 28067, 23337, 2454, 10729, 267, 513, 8781, 14815, 1247, 2712, 3215, 267, 543, 14159, 610, 1166, 1678, 1928, 563, 2005, 568, 1271, 602, 4896, 7680, 891, 2589, 5077, 338, 741, 4387, 865, 789, 666, 3313, 519, 1655, 1576, 540, 2126, 269, 769, 930, 2665, 267, 11216, 949, 581, 519, 1152, 1259, 547, 1205, 7759, 540, 519, 3968, 563, 1432, 3123, 661, 269, 19546, 4187, 888, 292, 269, 19546, 4187, 568, 3361, 676, 513, 3099, 540, 2188, 267, 1519, 2188, 971, 607, 15084, 936, 2224, 267, 16283, 2126, 540, 11216, 267, 4719, 2242, 267, 543, 519, 6771, 540, 3075, 15033, 12490, 563, 12901, 756, 8438, 936, 2224, 568, 835, 540, 519, 1292, 3123, 540, 661, 269, 19546, 4187, 269, 1879, 11216, 616, 936, 4310, 267, 621, 666, 1711, 606, 1604, 602, 2824, 338, 585, 3075, 15033, 4551, 269, 901, 4187, 1287, 19082, 998, 519, 2551, 1813, 547, 519, 2799, 4527, 540, 3075, 15033, 12490, 563, 1103, 1228, 12930, 2126, 540, 11216, 666, 849, 1291, 547, 661, 269, 19546, 4187, 269, 898, 568, 1271, 547, 2347, 519, 2407, 1576, 540, 11216, 607, 11311, 676, 707, 4387, 269, 1879, 519, 2407, 1576, 568, 711, 6192, 267, 621, 666, 1267, 538, 661, 563, 3712, 328, 4742, 11259, 547, 1978, 11216, 607, 1152, 513, 9864, 2126, 786, 6146, 519, 1034, 11630, 9190, 3029, 267, 3850, 519, 11259, 12490, 547, 7639, 543, 17297, 4733, 563, 7049, 2045, 2242, 538, 661, 269, 19546, 4551, 666, 849, 3565, 547, 15084, 4187, 269, 901, 666, 2049, 607, 4551, 1831, 11259, 547, 835, 610, 811, 11216, 1813, 547, 4719, 13592, 563, 7661, 267, 661, 269, 19546, 666, 581, 10299, 689, 835, 1268, 547, 1776, 267, 543, 3075, 15033, 12490, 666, 3262, 538, 713, 1259, 269, 1403, 519, 4187, 6090, 616, 5293, 593, 547, 824, 9190, 5095, 267, 621, 666, 1267, 538, 606, 2333, 538, 15084, 4187, 563, 1607, 666, 3262, 547, 824, 4025, 267, 971, 607, 2831, 267, 519, 1604, 267, 543, 1256, 1426, 2472, 269, 4475, 267, 621, 568, 1271, 547, 1491, 15416, 547, 2569, 519, 1981, 540, 23142, 15084, 15033, 12490, 563, 1432, 19754, 661, 269, 19546, 538, 519, 1560, 888, 292, 269, 19546, 568, 513, 1826, 540, 4551, 602, 666, 581, 1336, 538, 519, 24026, 540, 2635, 3425, 267, 855, 621, 666, 849, 2014, 3968, 543, 2068, 269, 634, 3119, 2014, 540, 661, 269, 19546, 5563, 568, 998, 13572, 1426, 543, 1216, 267, 4352, 6771, 998, 3346, 609, 606, 7783, 1268, 568, 849, 2009, 563, 763, 1560, 779, 2067, 4761, 3210, 568, 2356, 2614, 547, 4339, 1055, 519, 4551, 267, 855, 538, 930, 2665, 267, 11216, 949, 581, 2556, 547, 1521, 606, 3968, 563, 12901, 756, 8438, 6527, 616, 2966, 547, 6146, 610, 21391, 519, 2208, 540, 9190, 2281, 676, 7679, 1359, 609, 1591, 3774, 610, 1591, 9245, 2504, 269, 28871, 1031, 11216, 585, 661, 269, 19546, 5563, 1331, 18041, 27957, 267, 524, 1030, 582, 1314, 830, 267, 8425, 25271, 514, 267, 6491, 19745, 584, 656, 7765, 267, 15067, 6483, 743, 710, 543, 16013, 996, 641, 3234, 1606, 5285, 600, 996, 2135, 31152, 563, 1103, 930, 2665, 267, 7189, 949, 21559, 2789, 11216, 547, 1732, 2333, 519, 8458, 540, 3811, 2126, 563, 1103, 1840, 547, 11216, 267, 10438, 22763, 814, 849, 1044, 1634, 547, 581, 5363, 538, 4227, 543, 14874, 661, 269, 19546, 538, 519, 1560, 269, 11525, 7821, 616, 2661, 4551, 543, 9493, 6814, 602, 616, 2147, 547, 519, 6225, 14471, 1336, 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 ]
[ 26780, 26780, 267, 2749, 267, 3854, 540, 519, 2136, 8003, 269, 898, 568, 1851, 519, 9510, 540, 519, 1158, 779, 1390, 4872, 1765, 1080, 1686, 17364, 5176, 1079, 27453, 11652, 835, 540, 519, 1034, 14421, 641, 13457, 269, 1635, 2484, 6628, 779, 4102, 1558, 24227, 267, 621, 568, 849, 519, 2197, 779, 2804, 267, 6283, 267, 543, 2686, 8998, 269, 5507, 568, 13883, 7498, 26780, 15731, 2252, 621, 568, 2009, 547, 581, 1312, 513, 4571, 342, 1057, 543, 513, 4651, 4137, 267, 5981, 529, 31704, 1676, 5129, 1312, 5107, 585, 3703, 11733, 543, 21462, 538, 476, 3422, 273, 269, 1261, 8118, 519, 661, 2718, 2349, 1132, 11833, 538, 513, 25810, 593, 661, 2718, 16340, 3118, 543, 9415, 267, 6273, 267, 543, 6964, 513, 1297, 540, 12372, 538, 1010, 6512, 267, 2349, 1132, 14119, 730, 267, 930, 540, 2507, 0, 763, 7969, 12289, 538, 5239, 6518, 568, 2356, 1634, 607, 918, 4176, 3256, 13983, 1723, 268, 2005, 6501, 2782, 13195, 4553, 676, 519, 4436, 12289, 538, 4989, 4436, 2244, 902, 18301, 6229, 14447, 7270, 519, 6532, 540, 11511, 974, 2904, 3357, 1310, 20466, 4229, 1185, 1044, 17204, 538, 22163, 10255, 269, 1452, 12959, 941, 851, 540, 519, 3152, 26811, 534, 22411, 540, 5125, 563, 16032, 3168, 19967, 2367, 538, 2136, 8003, 454, 16729, 519, 7969, 12289, 593, 476, 2764, 5239, 294, 872, 576, 1065, 6160, 539, 519, 3355, 7969, 4323, 543, 513, 4831, 31281, 871, 538, 4728, 1879, 519, 4436, 12289, 267, 1634, 607, 20491, 3057, 7534, 267, 3459, 593, 476, 277, 4989, 267, 519, 13557, 540, 519, 5259, 8136, 729, 593, 519, 5259, 8473, 609, 24640, 9332, 1156, 513, 2149, 28672, 32650, 7977, 267, 689, 799, 519, 7969, 10136, 1185, 16091, 269, 4436, 10136, 22983, 689, 10089, 326, 926, 659, 11661, 513, 2034, 563, 294, 872, 576, 4607, 513, 1507, 15699, 689, 3703, 288, 26894, 543, 1715, 10215, 4229, 538, 24736, 540, 519, 4436, 4323, 269, 634, 5259, 7952, 1336, 3294, 856, 333, 3518, 1229, 538, 922, 4674, 547, 9718, 1996, 5679, 7969, 543, 4436, 10136, 563, 2026, 513, 1267, 267, 519, 6004, 333, 17872, 1899, 1705, 711, 4309, 7850, 7708, 641, 12927, 906, 543, 729, 3533, 936, 14725, 676, 519, 16586, 267, 945, 1287, 856, 4148, 1678, 539, 519, 5259, 4229, 693, 519, 24640, 1014, 1160, 560, 3191, 538, 4409, 17662, 14480, 560, 762, 267, 16550, 741, 21704, 563, 23873, 267, 8241, 543, 1715, 10215, 4229, 941, 16397, 543, 7142, 547, 18956, 267, 609, 519, 10700, 3804, 540, 27549, 269, 1280, 1896, 2395, 267, 20466, 10136, 5129, 606, 1271, 851, 538, 5627, 519, 4436, 4434, 593, 519, 26457, 641, 2643, 2801, 575, 872, 334, 267, 3850, 9635, 547, 581, 5423, 547, 17355, 10663, 519, 4559, 21108, 10255, 563, 763, 21037, 540, 7313, 631, 26680, 321, 893, 18552, 729, 6192, 609, 519, 7001, 540, 11511, 974, 513, 3923, 2663, 269, 11374, 922, 2887, 267, 10255, 729, 13026, 676, 519, 4108, 4229, 540, 5125, 267, 7977, 543, 31697, 269, 13609, 2663, 30199, 519, 5821, 540, 1010, 12289, 540, 519, 8168, 5742, 308, 842, 539, 1185, 547, 581, 16607, 267, 593, 631, 1380, 565, 7236, 1412, 338, 8959, 21037, 540, 10255, 563, 8005, 16393, 966, 1774, 538, 9147, 10255, 888, 4263, 2073, 8504, 12176, 540, 2622, 2782, 4083, 267, 594, 334, 2335, 529, 5450, 1314, 553, 2443, 1492, 3673, 626, 16654, 9598, 1807, 918, 580, 3882, 10255, 543, 5449, 2489, 2443, 338, 4454, 547, 2226, 513, 2990, 540, 29591, 269, 10255, 729, 1641, 547, 2810, 2604, 689, 7977, 267, 28285, 538, 519, 7969, 26747, 667, 1409, 3626, 29855, 519, 2267, 16014, 11875, 328, 593, 476, 1428, 4864, 21118, 1988, 609, 519, 5259, 7952, 3459, 693, 519, 11135, 2367, 333, 4432, 320, 807, 1765, 298, 15401, 553, 3602, 789, 8959, 547, 2736, 519, 17872, 1899, 543, 941, 7142, 547, 26699, 563, 5475, 4374, 540, 21016, 5477, 5162, 13137, 267, 519, 32228, 2103, 9250, 513, 4831, 11325, 2400, 593, 519, 8998, 540, 519, 4395, 593, 476, 280, 4728, 6518, 8959, 267, 5103, 519, 32228, 2103, 262, 9120, 4229, 269, 2991, 835, 3018, 543, 476, 1321, 267, 25096, 267, 631, 1380, 565, 7236, 1572, 1055, 519, 4831, 11325, 2400, 543, 2451, 24640, 807, 12964, 2395, 2663, 269, 1284, 941, 7454, 3168, 19967, 2367, 538, 2136, 8003, 2083, 20321, 267, 4988, 1496, 514, 608, 920, 618, 316, 543, 950, 649, 3893, 856, 540, 519, 29326, 720, 1062, 594, 3314, 519, 8695, 11067, 721, 563, 296, 2161, 281, 1100, 267, 621, 568, 782, 851, 540, 519, 2112, 1996, 519, 21373, 267, 543, 649, 645, 342, 560, 979, 593, 543, 3168, 713, 15141, 1190, 3693, 269, 21118, 1988, 609, 519, 5259, 7952, 3459, 26135, 26603, 2176, 12389, 8725, 519, 11135, 540, 4432, 320, 807, 1765, 298, 15401, 553, 3602, 789, 8959, 547, 2736, 519, 17872, 1899, 543, 941, 7142, 547, 26699, 563, 18958, 309, 476, 275, 2433, 2443, 769, 519, 21987, 267, 533, 8504, 1131, 2268, 922, 4644, 538, 2474, 540, 519, 8488, 3057, 7534, 1185, 7454, 3168, 19967, 2367, 538, 2136, 8003, 1185, 711, 13684, 593, 519, 25793, 4770, 540, 4446, 8663, 1601, 320, 267, 606, 3635, 6038, 7335, 1989, 15967, 24158, 581, 24565, 7443, 1652, 267, 2094, 621, 729, 519, 6739, 4365, 267, 711, 519, 20314, 4293, 540, 13564, 10706, 11044, 267, 799, 5462, 4446, 8663, 1601, 320, 781, 10131, 4266, 563, 3674, 1633, 2516, 8581, 269, 7073, 11347, 1629, 31097, 267, 538, 4334, 547, 1463, 1629, 31097, 267, 723, 4961, 945, 8917, 585, 13222, 945, 1711, 543, 15357, 4031, 593, 741, 15773, 563, 289, 4490, 540, 10255, 12142, 19186, 753, 267, 1284, 2096, 1926, 454, 763, 14230, 540, 519, 5259, 4229, 1765, 1691, 15523, 1419, 20093, 821, 3585, 5219, 547, 607, 519, 834, 31528, 3689, 8136, 257, 676, 4914, 2959, 561, 330, 3183, 8149, 538, 3751, 4777, 329, 269, 634, 3703, 5918, 569, 8452, 593, 476, 1240, 5239, 267, 8704, 513, 1008, 29850, 2229, 896, 9677, 3930, 14466, 663, 516, 537, 543, 5423, 547, 11177, 519, 853, 8692, 15731, 538, 519, 9576, 2274, 5446, 2023, 1975, 320, 269, 30215, 267, 808, 563, 10673, 1405, 4413, 856, 593, 5870, 1390, 1004, 689, 24640, 807, 269, 1284, 17875, 1194, 998, 782, 519, 695, 527, 543, 1216, 543, 9788, 519, 674, 9689, 18552, 667, 1495, 2465, 1318, 896, 519, 15678, 267, 2614, 547, 9514, 621, 6607, 1164, 269, 4014, 21576, 267, 16222, 267, 7544, 543, 2661, 2575, 616, 2442, 267, 519, 19463, 2250, 830, 540, 519, 3703, 568, 8384, 8613, 269, 1280, 1326, 519, 4966, 563, 8698, 519, 9043, 540, 5259, 2206, 956, 593, 4432, 580, 1043, 294, 872, 802, 2593, 454, 414, 507, 370, 28347, 1185, 1279, 15469, 1010, 3959, 607, 513, 1761, 28379, 585, 519, 21895, 269, 4329, 1344, 281, 11135, 540, 519, 5450, 1314, 553, 7412, 563, 6097, 547, 519, 3703, 4317, 5900, 6421, 11752, 11004, 616, 17618, 1079, 12496, 540, 3703, 3961, 267, 609, 6803, 543, 18523, 7516, 15545, 8158, 476, 2537, 4989, 4634, 1631, 267, 1310, 782, 891, 1296, 267, 594, 1166, 514, 577, 693, 519, 3280, 540, 14742, 538, 2112, 9413, 269, 11146, 547, 1989, 650, 888, 4322, 12417, 1522, 581, 4397, 547, 674, 582, 657, 3023, 529, 7335, 4630, 321, 637, 586, 18665, 16660, 637, 795, 2863, 657, 547, 29043, 22888, 267, 855, 649, 798, 1265, 1806, 540, 15962, 15185, 269, 8644, 3130, 543, 4155, 547, 519, 3540, 2112, 269, 8158, 476, 1691, 5181, 6196, 12057, 5600, 267, 2052, 828, 571, 563, 301, 4899, 8581, 3294, 729, 267, 585, 1082, 1296, 267, 519, 3135, 540, 513, 10795, 543, 15280, 2802, 7224, 268, 4167, 4115, 4655, 1765, 634, 24410, 7632, 2443, 24992, 1346, 19101, 547, 2099, 9721, 18541, 15367, 616, 1133, 3438, 4936, 7826, 5679, 267, 543, 1346, 19101, 547, 2099, 3703, 9769, 1143, 15367, 616, 15866, 17557, 563, 2304, 9147, 5259, 1924, 295, 334, 286, 347, 763, 1762, 2367, 543, 2021, 14084, 538, 20115, 540, 1973, 267, 3025, 678, 5241, 1524, 519, 24383, 538, 2698, 8710, 267, 2698, 11784, 563, 309, 1112, 800, 786, 581, 23600, 2336, 19322, 664, 2115, 513, 2063, 18826, 5259, 3992, 12142, 19186, 753, 267, 1284, 2096, 1926, 454, 763, 942, 814, 2097, 269, 1284, 786, 3094, 256, 901, 7454, 3168, 19967, 2367, 538, 2136, 8003, 519, 1554, 267, 1346, 476, 3583, 1296, 3516, 713, 3018, 267, 950, 1863, 330, 3703, 7952, 267, 1869, 693, 2112, 609, 5125, 267, 8118, 3595, 2390, 2443, 543, 5795, 17137, 945, 1185, 32524, 609, 519, 21647, 519, 15963, 547, 3595, 2390, 2443, 513, 19742, 15624, 11744, 538, 7454, 3168, 19967, 2367, 538, 2136, 8003, 540, 519, 851, 24326, 609, 7247, 6628, 1185, 1044, 24027, 585, 1614, 1296, 563, 23562, 4868, 32732, 21127, 267, 6140, 1762, 8695, 543, 6690, 267, 941, 7166, 543, 7366, 13676, 269, 772, 660, 1221, 4397, 513, 1973, 321, 987, 269, 1924, 646, 23564, 14336, 10662, 547, 1394, 519, 18793, 540, 13609, 1996, 1133, 333, 1243, 1378, 2144, 560, 6112, 16167, 563, 16032, 3168, 19967, 2367, 538, 2136, 8003, 700, 821, 569, 4210, 5424, 27973, 27202, 4658, 11557, 344, 17266, 9612, 532, 20031, 1756, 25441, 26969, 454, 20751, 2395, 267, 17241, 293, 1975, 527, 18394, 543, 3807, 18552, 538, 22312, 941, 2269, 325, 532, 2451, 626, 1193, 517, 724, 9529, 607, 519, 11135, 540, 18603, 2443, 1634, 538, 631, 325, 333, 607, 519, 1546, 651, 332, 341, 686, 3570, 2443, 3459, 267, 10692, 711, 1063, 519, 3703, 543, 519, 21647, 267, 855, 519, 3703, 7258, 18793, 540, 519, 21647, 1996, 575, 872, 2131, 851, 24326, 269, 4634, 1631, 267, 1310, 782, 891, 1296, 267, 594, 1166, 514, 577, 693, 519, 3280, 540, 14742, 538, 2112, 9413, 563, 2005, 568, 513, 2239, 540, 2052, 812, 1849, 716, 517, 6823, 4149, 20660, 519, 6634, 540, 2826, 976, 945, 979, 547, 5260, 712, 519, 1350, 1559, 540, 5259, 25196, 610, 1167, 334, 1673, 766, 1472, 519, 10195, 631, 10397, 23183, 910, 5882, 267, 616, 575, 10623, 2131, 269, 634, 9371, 540, 713, 20729, 531, 814, 20807, 539, 10255, 2479, 2094, 267, 922, 14692, 16304, 936, 519, 31285, 543, 5208, 602, 30192, 538, 1310, 519, 11318, 540, 513, 1153, 24742, 676, 7128, 2443, 849, 1572, 20167, 5501, 26603, 2176, 6196, 5069, 1546, 651, 332, 341, 686, 3570, 2443, 543, 2813, 606, 705, 903, 338, 1063, 519, 2451, 19134, 548, 23051, 14382, 13699, 15731, 1318, 563, 1103, 5333, 610, 7977, 267, 952, 596, 10692, 519, 21647, 267, 596, 941, 15197, 538, 2486, 1310, 519, 2112, 267, 7488, 540, 16809, 563, 1103, 10255, 267, 596, 1336, 3054, 8165, 2443, 610, 29802, 543, 12475, 3293, 676, 2443, 519, 1004, 945, 4210, 5424, 10766, 2754, 9315, 858, 32524, 609, 519, 21647, 267, 593, 3703, 9753, 269, 1703, 814, 2760, 1044, 513, 22672, 11238, 609, 602, 6760, 267, 543, 1454, 540, 1018, 568, 8345, 538, 10255, 1631, 568, 519, 1267, 540, 711, 4947, 1133, 328, 1117, 2474, 609, 519, 2250, 20426, 7468, 1550, 16452, 814, 1044, 3957, 6628, 781, 1034, 10694, 5256, 10424, 11660, 1382, 10660, 1229, 676, 519, 3504, 16380, 1336, 519, 3068, 540, 519, 563, 292, 5554, 1043, 16380, 568, 519, 1655, 5259, 6580, 3135, 538, 519, 1158, 267, 10023, 9118, 1403, 596, 1616, 547, 1376, 3168, 585, 824, 5177, 5259, 2206, 956, 2282, 596, 267, 596, 666, 1809, 2724, 568, 547, 1413, 8811, 326, 6170, 267, 543, 1346, 5259, 2367, 2386, 899, 547, 6108, 621, 593, 513, 7168, 15805, 8206, 563, 23873, 6205, 15920, 519, 9167, 513, 7662, 547, 8488, 6601, 343, 527, 593, 14349, 3781, 563, 288, 1492, 985, 476, 3707, 275, 281, 6628, 779, 18660, 5728, 454, 1015, 270, 866, 270, 866, 14301, 519, 1283, 2984, 1472, 519, 8608, 269, 1547, 7053, 267, 519, 2367, 540, 9253, 657, 941, 2322, 547, 519, 18156, 267, 543, 519, 2021, 543, 1453, 4421, 883, 8474, 269, 0, 299, 9281, 292, 5442, 5990, 21832, 20796, 17162, 454, 15675, 539, 2038, 26620, 676, 9835, 24347, 548, 2473, 13757, 628, 571, 328, 267, 2235, 320, 476, 23211, 279, 454, 314, 302, 8016, 5491, 281, 26232, 600, 9369, 28635, 6737, 2639, 2026, 513, 1267, 540, 9645, 4719, 27327, 267, 519, 2168, 5920, 540, 918, 1817, 517, 345, 517, 2572, 19299, 513, 16113, 693, 2988, 673, 543, 3982, 1915, 3448, 547, 519, 9082, 540, 519, 1964, 540, 519, 1158, 269, 1358, 23223, 2406, 723, 3648, 12779, 2960, 267, 811, 865, 982, 1022, 4914, 6803, 885, 267, 609, 1346, 945, 2661, 2417, 2476, 689, 2101, 4683, 18013, 2348, 513, 12402, 547, 7703, 22394, 569, 1447, 23080, 573, 1950, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 585, 519, 1101, 942, 1522, 594, 1039, 269, 8729, 585, 6505, 2287, 1250, 1554, 269, 630, 4517, 596, 14406, 606, 8900, 5991, 564, 3804, 676, 711, 6085, 532, 593, 3627, 10912, 26826, 606, 968, 777, 1108, 2560, 6100, 994, 292, 327, 267, 594, 7012, 1406, 538, 519, 7099, 585, 3440, 2065, 22902, 325, 5109, 602, 1554, 563, 291, 19342, 2306, 1152, 476, 3583, 260, 540, 519, 17405, 9817, 7504, 12741, 609, 519, 1482, 12761, 269, 2334, 779, 513, 1634, 1249, 269, 667, 19342, 9817, 723, 693, 1034, 476, 4817, 268, 4200, 260, 2362, 2418, 540, 12971, 343, 538, 519, 9688, 982, 513, 13380, 3154, 19956, 267, 543, 945, 1616, 779, 513, 17088, 538, 513, 1286, 286, 634, 6846, 540, 519, 2599, 4805, 568, 2614, 547, 3251, 2476, 269, 634, 1152, 2601, 602, 17088, 568, 11320, 553, 865, 2442, 538, 2342, 568, 1317, 540, 519, 4492, 4346, 267, 855, 519, 15382, 8104, 3491, 21793, 2813, 676, 17088, 1263, 1149, 538, 6517, 568, 5458, 538, 519, 8273, 2749, 338, 899, 8303, 563, 291, 19342, 568, 585, 2462, 6551, 338, 543, 8778, 832, 563, 296, 723, 2016, 930, 2219, 547, 519, 8292, 1739, 519, 1101, 2022, 540, 713, 2376, 267, 5631, 1346, 676, 3627, 269, 594, 993, 711, 2469, 547, 3409, 519, 1739, 4901, 968, 2889, 1407, 892, 4376, 269, 901, 3095, 547, 513, 9498, 949, 581, 3730, 269, 630, 28781, 593, 519, 2262, 3095, 994, 4131, 721, 2015, 606, 2599, 609, 513, 12718, 12761, 540, 476, 2412, 12945, 6279, 630, 1729, 1118, 26398, 2241, 1040, 1280, 513, 17405, 2599, 609, 513, 13496, 5223, 540, 476, 1015, 281, 272, 267, 519, 524, 3518, 755, 542, 12068, 568, 476, 4510, 12945, 6279, 630, 19956, 12761, 568, 519, 4320, 25626, 856, 676, 519, 25059, 1040, 589, 17088, 2599, 609, 513, 13496, 5223, 540, 476, 736, 281, 272, 814, 513, 13674, 12068, 540, 476, 5655, 12945, 6279, 563, 763, 9498, 1657, 2636, 721, 547, 12337, 519, 4998, 4398, 540, 1142, 2599, 269, 634, 3154, 2599, 568, 1175, 936, 476, 2568, 260, 543, 519, 17088, 568, 476, 6858, 10065, 634, 6724, 585, 519, 17088, 8263, 930, 942, 568, 2838, 585, 519, 4492, 547, 6633, 269, 634, 2179, 540, 17405, 28041, 630, 528, 4492, 22280, 1463, 610, 711, 264, 666, 581, 6719, 676, 12270, 476, 4510, 676, 476, 1691, 269, 278, 815, 827, 476, 274, 4559, 540, 17405, 269, 1284, 723, 476, 4510, 12945, 6279, 540, 2011, 269, 769, 519, 17088, 972, 568, 476, 5655, 12945, 6279, 540, 2011, 543, 13071, 8263, 649, 666, 6633, 17088, 693, 476, 2641, 281, 272, 267, 799, 568, 827, 476, 2004, 260, 811, 2011, 982, 588, 334, 24734, 6248, 269, 901, 1797, 649, 723, 476, 273, 4559, 540, 17088, 4492, 799, 568, 22280, 1472, 519, 1448, 1141, 519, 25059, 568, 693, 1283, 4666, 4099, 269, 19672, 1934, 616, 711, 1271, 607, 713, 568, 606, 4998, 2599, 3314, 563, 299, 1115, 8263, 602, 519, 17088, 4492, 814, 476, 736, 260, 811, 1648, 982, 519, 17405, 269, 1924, 972, 616, 476, 274, 4559, 540, 1648, 538, 519, 17405, 2599, 543, 649, 666, 1205, 476, 2568, 260, 540, 602, 547, 519, 8038, 20253, 601, 267, 865, 519, 3154, 2599, 568, 15951, 693, 476, 272, 269, 279, 4559, 540, 1648, 630, 1817, 572, 12741, 1040, 634, 17088, 814, 476, 273, 269, 275, 4559, 540, 1648, 543, 649, 1205, 476, 6858, 260, 856, 267, 865, 519, 17088, 568, 15951, 693, 476, 272, 269, 277, 4559, 540, 1648, 269, 901, 1281, 711, 2161, 4376, 827, 18165, 1175, 2943, 563, 295, 16017, 12741, 815, 2599, 3432, 630, 14641, 16039, 264, 2053, 570, 3036, 12702, 292, 630, 331, 321, 268, 1111, 264, 5258, 676, 476, 30589, 273, 454, 528, 24605, 815, 681, 15014, 1535, 570, 3036, 12702, 292, 1315, 476, 30589, 273, 454, 2690, 519, 3154, 2599, 1107, 476, 272, 269, 279, 554, 335, 815, 681, 15014, 1535, 570, 3036, 12702, 292, 630, 326, 553, 264, 1315, 476, 30589, 273, 454, 1721, 519, 17088, 2443, 476, 272, 269, 277, 554, 335, 815, 681, 15014, 1535, 570, 3036, 12702, 292, 630, 323, 19342, 264, 1315, 476, 30589, 273, 454, 19667, 728, 519, 3154, 676, 519, 17088, 454, 272, 269, 279, 270, 272, 269, 277, 815, 570, 3036, 12702, 292, 14116, 553, 264, 1315, 570, 3036, 12702, 292, 5560, 19342, 264, 815, 476, 272, 269, 10219, 454, 15368, 1227, 713, 3081, 602, 519, 3154, 9817, 18165, 568, 476, 1321, 269, 276, 260, 811, 982, 519, 17088, 269, 4107, 10523, 1564, 2196, 593, 513, 476, 1839, 268, 1789, 281, 272, 5223, 1818, 519, 3017, 538, 606, 4998, 2599, 1256, 3152, 269, 7464, 9817, 616, 711, 4998, 269, 1717, 267, 594, 1589, 6754, 715, 1221, 1069, 5674, 518, 2140, 568, 3020, 585, 1034, 13380, 9817, 563, 19950, 532, 269, 594, 6557, 2731, 711, 11727, 547, 6085, 593, 707, 9273, 23963, 267, 4352, 972, 568, 513, 9228, 7954, 547, 873, 269, 674, 310, 296, 310, 267, 17088, 814, 1152, 476, 1321, 268, 1428, 260, 811, 31641, 5825, 982, 17405, 563, 296, 729, 3843, 547, 2285, 519, 17088, 607, 1454, 948, 607, 2009, 267, 6616, 602, 621, 729, 2469, 547, 6336, 269, 1703, 616, 930, 7508, 3877, 267, 3733, 9819, 568, 1152, 585, 513, 2582, 1379, 8482, 267, 7504, 12741, 568, 606, 1648, 2557, 269, 634, 13429, 1498, 568, 602, 519, 13674, 20830, 6445, 547, 11626, 2604, 593, 1142, 6981, 8482, 693, 782, 2599, 11250, 269, 7464, 9817, 1810, 1406, 960, 602, 1134, 269, 1280, 513, 17088, 4881, 693, 513, 476, 1789, 281, 272, 5223, 540, 2011, 547, 4492, 267, 519, 3154, 2599, 568, 693, 2547, 476, 2004, 260, 811, 18165, 563, 2791, 941, 6157, 593, 519, 1318, 3950, 9301, 602, 519, 6923, 8321, 730, 17088, 568, 3908, 676, 519, 2179, 540, 4492, 602, 621, 666, 6633, 3927, 563, 27288, 4639, 1107, 596, 5693, 917, 707, 8631, 269, 8729, 585, 4687, 563, 4692, 594, 2911, 596, 883, 2921, 513, 588, 629, 693, 1946, 4946, 513, 2881, 2692, 2242, 519, 3830, 865, 3648, 888, 10303, 621, 2636, 519, 17088, 547, 6633, 1454, 811, 4492, 256, 1306, 1279, 607, 972, 568, 4430, 2011, 267, 606, 2479, 2810, 2179, 540, 17088, 666, 581, 14616, 269, 1656, 7429, 538, 513, 17405, 2881, 2692, 2599, 2599, 267, 840, 1673, 17662, 566, 689, 1932, 1454, 13496, 568, 513, 1875, 3390, 267, 607, 10523, 1564, 2241, 1810, 1406, 840, 1673, 17662, 622, 630, 10090, 958, 6340, 264, 1813, 547, 519, 3500, 8781, 2470, 540, 519, 4492, 269, 2290, 666, 1175, 1832, 2810, 5818, 543, 4492, 267, 547, 21173, 2157, 563, 15152, 6365, 269, 1809, 972, 1590, 581, 12145, 2188, 3564, 519, 2168, 4222, 540, 519, 3334, 269, 19227, 649, 1131, 1294, 811, 2881, 2692, 10523, 1564, 609, 6263, 771, 2897, 906, 543, 5458, 18165, 16863, 563, 24965, 576, 7344, 13496, 5223, 543, 596, 666, 723, 607, 1454, 5818, 607, 596, 1616, 538, 513, 17405, 2599, 269, 5455, 14079, 547, 1463, 13297, 263, 3697, 513, 17088, 264, 538, 707, 17405, 2599, 543, 596, 1810, 1406, 1256, 723, 547, 2569, 519, 13496, 5223, 563, 1607, 568, 1434, 267, 855, 7498, 2467, 616, 930, 2042, 1934, 563, 763, 1101, 543, 6654, 835, 568, 707, 476, 4510, 4559, 540, 2011, 585, 17405, 5288, 519, 476, 5655, 4559, 540, 2011, 585, 17088, 269, 1411, 616, 711, 9236, 3160, 12761, 9817, 269, 1411, 616, 9236, 513, 476, 5655, 12945, 10759, 2599, 547, 513, 476, 4510, 12945, 10759, 2599, 269, 1879, 519, 25059, 7575, 909, 543, 1524, 543, 14405, 538, 519, 2011, 267, 621, 14405, 538, 476, 2412, 12945, 6279, 540, 2011, 16634, 18485, 9817, 798, 865, 269, 2334, 568, 1946, 789, 616, 17941, 968, 2412, 12945, 10759, 12761, 6100, 6056, 540, 519, 4320, 1657, 519, 25059, 693, 570, 17584, 607, 4666, 2230, 269, 898, 1281, 711, 723, 4376, 547, 798, 609, 519, 4320, 540, 2011, 6537, 883, 519, 12718, 269, 1280, 519, 3483, 540, 707, 1608, 14369, 267, 602, 2011, 666, 581, 2808, 968, 4944, 550, 892, 2011, 1310, 519, 1101, 13674, 2680, 2507, 26074, 621, 568, 9247, 9688, 575, 13293, 543, 1281, 711, 3565, 547, 13674, 563, 763, 2034, 1966, 267, 594, 3494, 267, 594, 723, 711, 2943, 20240, 713, 267, 568, 602, 596, 7447, 519, 17405, 4398, 1932, 1164, 269, 3733, 3965, 3081, 621, 568, 827, 476, 2412, 10065, 594, 786, 2097, 1394, 547, 713, 2663, 950, 594, 666, 1382, 621, 269, 594, 1589, 707, 17088, 4398, 568, 849, 1164, 269, 594, 4363, 1210, 476, 4649, 260, 585, 17088, 2394, 649, 666, 13182, 811, 4977, 2338, 563, 763, 1985, 1966, 568, 519, 1259, 596, 7447, 519, 2179, 540, 4492, 269, 634, 2011, 4492, 12753, 596, 13712, 616, 623, 5495, 301, 9169, 5508, 3642, 305, 547, 623, 5495, 301, 9169, 5508, 674, 308, 5085, 269, 8616, 538, 707, 9273, 596, 616, 12719, 12945, 6279, 540, 2011, 547, 6550, 540, 4492, 563, 1607, 949, 581, 513, 544, 2393, 1448, 1498, 267, 607, 1279, 607, 596, 2611, 14354, 269, 594, 786, 2097, 1394, 547, 713, 2663, 1310, 594, 1589, 827, 621, 811, 563, 763, 476, 1704, 281, 272, 13496, 5223, 596, 946, 585, 17088, 594, 3494, 568, 519, 6093, 13496, 5223, 585, 2881, 2692, 12737, 539, 9817, 269, 594, 1589, 513, 1875, 2389, 584, 2692, 12737, 539, 2599, 1131, 723, 513, 2362, 13496, 5223, 269, 9320, 476, 1240, 268, 2190, 547, 476, 272, 267, 594, 1589, 269, 901, 786, 849, 1491, 811, 10992, 607, 594, 798, 711, 3972, 1250, 3965, 563, 9827, 267, 519, 4492, 2011, 7848, 538, 513, 17088, 2599, 568, 4756, 267, 7429, 513, 17405, 2599, 269, 589, 17088, 2599, 568, 29659, 693, 2407, 1379, 543, 10709, 652, 693, 1100, 4452, 1247, 7329, 1782, 269, 594, 798, 711, 917, 519, 2407, 1379, 2011, 4492, 7848, 538, 513, 17088, 2599, 269, 2659, 1505, 540, 21501, 713, 949, 610, 949, 711, 581, 10853, 269, 594, 723, 1100, 1259, 547, 917, 1510, 15388, 2094, 596, 1705, 711, 1397, 875, 596, 8452, 693, 713, 1297, 610, 689, 1141, 596, 1205, 476, 2004, 260, 1657, 588, 334, 24734, 6248, 585, 2407, 1379, 2011, 4492, 5223, 269, 1403, 596, 3274, 16611, 519, 17405, 2011, 281, 325, 3241, 5223, 676, 476, 272, 269, 276, 594, 666, 1175, 827, 10018, 596, 713, 568, 11234, 563, 2791, 991, 547, 24440, 2599, 12761, 269, 1548, 594, 1705, 568, 4010, 1318, 269, 1411, 849, 15069, 19955, 1018, 568, 5921, 676, 606, 26758, 2599, 269, 30052, 596, 917, 4986, 827, 32721, 563, 296, 1058, 1118, 930, 5587, 5874, 1934, 5310, 269, 3689, 540, 782, 12761, 568, 519, 4320, 602, 519, 25059, 4418, 10134, 856, 269, 6787, 610, 711, 835, 1058, 2015, 519, 1283, 540, 519, 13674, 12068, 538, 7384, 519, 4998, 3154, 610, 17088, 4783, 568, 3181, 23534, 269, 898, 1281, 711, 1118, 1454, 3017, 269, 1548, 594, 1131, 899, 547, 798, 1985, 568, 547, 12337, 519, 4998, 9979, 585, 513, 476, 274, 2148, 2599, 585, 1312, 519, 17405, 543, 17088, 9979, 269, 1703, 616, 8585, 1027, 525, 9817, 540, 713, 2450, 538, 1312, 17405, 543, 1875, 2389, 584, 2692, 10523, 1564, 630, 300, 9818, 267, 631, 10441, 543, 744, 300, 2568, 274, 269, 280, 1321, 1916, 13553, 519, 993, 895, 540, 4492, 5673, 593, 519, 2527, 540, 2011, 267, 799, 568, 14354, 547, 519, 4320, 269, 634, 588, 334, 24734, 6248, 5223, 568, 1759, 593, 519, 2527, 267, 865, 621, 11887, 519, 2527, 540, 4492, 538, 519, 17405, 543, 17088, 9817, 267, 711, 519, 4320, 540, 4492, 269, 1548, 713, 1797, 585, 513, 476, 274, 2148, 2599, 5673, 593, 519, 1739, 1344, 912, 520, 3044, 2604, 630, 520, 558, 2214, 8879, 4262, 1377, 1107, 476, 31318, 6515, 29666, 264, 543, 2837, 630, 16451, 4506, 1448, 540, 1216, 264, 513, 3727, 540, 3154, 3217, 909, 476, 2420, 269, 275, 20990, 540, 2230, 563, 288, 3727, 540, 2011, 22179, 476, 2764, 269, 9834, 10101, 454, 326, 553, 13238, 3568, 476, 5655, 269, 275, 803, 8615, 297, 537, 956, 21515, 540, 1648, 630, 5408, 530, 5942, 994, 291, 19342, 3568, 476, 6246, 269, 272, 803, 8615, 11219, 537, 956, 21515, 540, 1648, 630, 5408, 530, 5942, 264, 26013, 15062, 454, 3383, 23679, 513, 476, 274, 2148, 2599, 1131, 723, 476, 274, 270, 2420, 269, 275, 1535, 476, 2764, 269, 9834, 815, 476, 274, 269, 6434, 10101, 540, 2011, 269, 2060, 513, 476, 1691, 269, 278, 281, 272, 5223, 267, 519, 2527, 540, 17405, 1131, 581, 1547, 25784, 10101, 269, 634, 17088, 1131, 4440, 1205, 827, 3368, 602, 563, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 1769, 1848, 6423, 22123, 24759, 267, 968, 14738, 28214, 543, 14675, 26435, 281, 3943, 3203, 543, 519, 4886, 540, 5101, 2006, 9652, 779, 2637, 516, 24484, 902, 2223, 538, 2999, 328, 285, 292, 770, 2006, 9652, 267, 634, 595, 3757, 9440, 28610, 267, 6816, 540, 715, 656, 3089, 564, 281, 26062, 1922, 604, 628, 7788, 15208, 1401, 22128, 9572, 328, 285, 630, 26596, 17630, 281, 7033, 5287, 3203, 20155, 267, 476, 1960, 271, 1070, 533, 269, 476, 8618, 563, 277, 269, 3627, 594, 269, 670, 269, 645, 4768, 547, 7323, 14732, 623, 269, 3212, 629, 1328, 267, 476, 1724, 2904, 476, 3707, 274, 267, 5410, 2581, 20155, 19964, 282, 1294, 849, 3627, 594, 269, 670, 269, 645, 4768, 267, 2999, 328, 285, 2304, 1977, 2637, 516, 10266, 614, 281, 5101, 2006, 9652, 476, 9264, 275, 268, 476, 5002, 277, 9572, 328, 285, 630, 29662, 758, 14979, 267, 1715, 3840, 281, 634, 27201, 7467, 267, 476, 3707, 271, 1070, 533, 269, 476, 2641, 563, 278, 269, 24759, 267, 6032, 269, 476, 4792, 268, 6924, 282, 543, 4793, 878, 807, 22193, 267, 2999, 328, 285, 763, 2637, 516, 27006, 540, 5101, 2006, 9652, 281, 634, 17796, 543, 4886, 540, 3571, 13910, 543, 21771, 9572, 328, 285, 630, 6124, 3840, 543, 5507, 281, 12275, 1633, 14539, 267, 476, 3192, 278, 1070, 6032, 269, 476, 16825, 267, 476, 14631, 563, 279, 269, 1280, 2417, 5717, 540, 891, 5784, 267, 1294, 16205, 3244, 12121, 267, 968, 307, 2586, 609, 513, 595, 3757, 9440, 28546, 281, 5101, 2006, 9652, 593, 715, 656, 3089, 564, 892, 538, 2999, 328, 285, 763, 595, 3757, 9440, 28610, 267, 6816, 540, 715, 656, 3089, 564, 9572, 328, 285, 267, 533, 269, 476, 6078, 282, 543, 4793, 878, 807, 22193, 267, 2999, 328, 285, 292, 770, 2006, 9652, 281, 4825, 4592, 8826, 1401, 22128, 9572, 328, 285, 630, 6124, 3840, 281, 18724, 2284, 7467, 540, 1977, 3203, 267, 476, 3192, 273, 1070, 533, 269, 476, 10844, 563, 1607, 1843, 729, 3769, 538, 519, 1739, 24218, 281, 292, 770, 2006, 9652, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 280, 270, 276, 270, 1960, 276, 910, 476, 1015, 270, 1428, 270, 1960, 276, 454, 11754, 2581, 20155, 540, 1977, 3203, 281, 476, 4792, 13012, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 275, 270, 1724, 270, 1960, 277, 910, 476, 278, 270, 4029, 270, 1960, 277, 454, 763, 20472, 539, 7353, 1748, 281, 11835, 9040, 32024, 267, 28711, 1014, 9466, 267, 12756, 7395, 30445, 6511, 6682, 1842, 6261, 657, 267, 543, 8935, 326, 13584, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 272, 270, 1704, 270, 1960, 278, 910, 476, 274, 270, 2537, 270, 1960, 278, 454, 292, 770, 2006, 9652, 281, 27006, 3013, 267, 27201, 7467, 267, 476, 1015, 270, 3066, 270, 1960, 280, 910, 476, 280, 270, 1015, 270, 1220, 271, 454, 11900, 728, 543, 4934, 281, 2480, 25333, 540, 1977, 5020, 689, 519, 5410, 2581, 14635, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 280, 270, 2918, 270, 1220, 271, 910, 476, 1321, 270, 4029, 270, 1220, 271, 454, 11900, 728, 715, 656, 3089, 564, 281, 5101, 2006, 9652, 5525, 540, 6816, 5851, 5020, 267, 8055, 5441, 7467, 540, 3203, 267, 476, 275, 270, 2420, 270, 1220, 274, 910, 476, 278, 270, 736, 270, 1220, 274, 454, 292, 6614, 593, 519, 14635, 281, 595, 963, 344, 547, 14929, 704, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 1321, 270, 2641, 270, 1220, 275, 910, 476, 277, 270, 1321, 270, 1220, 276, 454, 292, 6614, 593, 519, 14635, 281, 4639, 547, 14929, 704, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 277, 270, 1704, 270, 1220, 276, 910, 476, 1015, 270, 1626, 270, 1220, 276, 454, 300, 1460, 543, 26969, 281, 589, 22062, 566, 1063, 24484, 902, 543, 3718, 593, 7433, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 272, 270, 2537, 270, 1220, 278, 910, 476, 275, 270, 279, 270, 1220, 278, 454, 10190, 543, 3767, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 276, 270, 1015, 270, 1220, 279, 910, 476, 278, 270, 1724, 270, 1220, 279, 454, 3199, 7711, 476, 3199, 2073, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 1015, 270, 1428, 270, 1001, 272, 910, 476, 1321, 270, 4029, 270, 1001, 272, 454, 292, 6614, 593, 519, 14635, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 272, 270, 866, 270, 1001, 274, 910, 476, 274, 270, 1015, 270, 1001, 274, 454, 292, 6614, 593, 519, 14635, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 275, 270, 2767, 270, 1001, 274, 910, 476, 278, 270, 4029, 270, 1001, 274, 454, 292, 6614, 593, 519, 14635, 281, 3203, 995, 623, 4680, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 273, 270, 272, 270, 1001, 275, 910, 476, 274, 270, 1789, 270, 1001, 275, 454, 314, 303, 9007, 550, 14635, 476, 1001, 268, 276, 3910, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 275, 270, 1321, 270, 1001, 275, 910, 476, 278, 270, 4029, 270, 1001, 275, 454, 2750, 10262, 28805, 267, 25181, 23089, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 280, 270, 273, 270, 1001, 275, 910, 476, 272, 270, 275, 270, 1001, 276, 454, 310, 8712, 543, 2142, 4461, 267, 10162, 1682, 543, 14134, 338, 281, 16103, 540, 5851, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 272, 270, 2537, 270, 1001, 277, 910, 476, 278, 270, 4029, 270, 1001, 277, 454, 292, 6614, 593, 519, 14635, 267, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 280, 270, 272, 270, 1001, 278, 910, 476, 278, 270, 4029, 270, 1001, 279, 454, 1103, 543, 4934, 540, 9255, 2073, 5410, 2581, 20155, 540, 1977, 3203, 267, 476, 273, 270, 1626, 270, 1001, 280, 910, 476, 278, 270, 4029, 270, 1001, 280, 454, 7312, 1699, 3406, 7355, 568, 281, 5800, 12859, 568, 834, 763, 6996, 281, 631, 9448, 5800, 12859, 281, 670, 11817, 543, 23467, 257, 0, 763, 1374, 540, 9804, 1958, 617, 619, 7389, 1394, 547, 519, 4571, 268, 3707, 271, 338, 269, 769, 519, 29291, 267, 7195, 601, 7773, 623, 10730, 2919, 519, 834, 339, 12941, 8868, 257, 3926, 267, 799, 6663, 547, 1118, 519, 13691, 3132, 513, 4630, 2684, 4577, 3280, 547, 17932, 824, 7405, 269, 634, 8136, 4121, 602, 7195, 601, 7773, 729, 2111, 547, 3132, 519, 25122, 8868, 7154, 1360, 10502, 593, 519, 6337, 17567, 4837, 267, 865, 621, 1031, 713, 2029, 547, 1118, 513, 3009, 6676, 269, 13536, 267, 585, 713, 6293, 267, 513, 4052, 6111, 3044, 729, 9138, 543, 1031, 547, 1020, 513, 8193, 1062, 585, 23825, 543, 4853, 2990, 8596, 269, 634, 9804, 1958, 18344, 568, 1287, 3812, 269, 0, 28139, 1097, 10973, 29191, 776, 15540, 630, 303, 26714, 264, 568, 513, 1455, 17441, 4524, 602, 5540, 12680, 543, 635, 27289, 513, 4807, 779, 3646, 547, 723, 513, 4816, 269, 476, 278, 268, 1015, 260, 540, 2021, 540, 10285, 2085, 5732, 7985, 689, 12443, 1097, 10973, 29191, 4115, 15540, 269, 1717, 267, 1034, 2021, 798, 711, 917, 789, 7985, 689, 621, 267, 2394, 789, 1376, 3695, 741, 12680, 1761, 543, 519, 7872, 540, 513, 6379, 563, 763, 1034, 1455, 2589, 540, 623, 26714, 616, 912, 272, 269, 16842, 543, 5766, 839, 267, 1775, 4318, 269, 10399, 971, 607, 19697, 267, 799, 2356, 2014, 18383, 267, 2799, 4552, 2208, 593, 519, 3068, 543, 1560, 267, 543, 616, 9571, 998, 1973, 4255, 1152, 563, 273, 269, 9093, 11584, 531, 4713, 281, 634, 4783, 949, 1397, 17244, 267, 971, 607, 17799, 538, 519, 12614, 540, 519, 1974, 267, 543, 3006, 519, 1974, 949, 1256, 3247, 4625, 267, 1775, 4318, 269, 21443, 27695, 269, 9093, 11584, 531, 4713, 267, 593, 519, 824, 1688, 267, 949, 1860, 28284, 865, 4061, 267, 2021, 779, 12680, 563, 763, 2165, 968, 335, 8432, 1097, 10973, 30124, 892, 6257, 519, 5920, 540, 519, 30124, 1282, 519, 14934, 31037, 1670, 16953, 9584, 269, 634, 30124, 2408, 547, 2270, 1082, 1507, 32235, 630, 704, 4257, 476, 1015, 610, 811, 267, 1142, 264, 609, 519, 10865, 8789, 21155, 548, 267, 7363, 3056, 547, 28284, 267, 711, 3395, 865, 3362, 563, 763, 11660, 543, 11916, 10615, 540, 21150, 787, 565, 629, 267, 3220, 269, 21208, 657, 2441, 334, 1721, 573, 529, 267, 11022, 267, 21598, 4596, 294, 267, 667, 13697, 303, 267, 26861, 13011, 1014, 8566, 344, 31037, 6048, 267, 21150, 787, 565, 629, 9142, 1071, 1922, 10133, 267, 2829, 602, 968, 4263, 21150, 787, 565, 629, 267, 2021, 8995, 609, 4874, 1097, 10973, 25073, 6794, 616, 11117, 543, 16913, 538, 13076, 609, 519, 4139, 15845, 9122, 13832, 267, 3370, 538, 476, 1001, 279, 676, 2657, 28968, 18368, 267, 609, 519, 1489, 540, 519, 1977, 3115, 8793, 5980, 630, 3008, 305, 300, 264, 543, 519, 3864, 5980, 585, 5274, 3115, 3174, 543, 21150, 787, 1108, 630, 2464, 295, 3918, 1040, 1284, 616, 782, 13988, 267, 547, 2087, 519, 2298, 540, 1272, 540, 2021, 609, 4874, 1097, 10973, 25073, 6794, 543, 547, 2327, 1164, 2298, 2533, 538, 12680, 5773, 543, 5574, 269, 9232, 454, 272, 269, 4495, 8995, 609, 623, 26714, 267, 798, 594, 723, 547, 10929, 10001, 293, 547, 1205, 9176, 888, 5591, 269, 3509, 2021, 616, 8995, 609, 623, 26714, 267, 855, 1034, 540, 873, 5555, 1205, 9176, 6923, 269, 3509, 2021, 609, 623, 26714, 723, 513, 3339, 4783, 267, 865, 28284, 568, 811, 2693, 547, 2049, 593, 513, 2834, 4493, 269, 1717, 267, 621, 568, 2356, 811, 2352, 547, 32230, 6923, 950, 513, 4807, 814, 12150, 18492, 9979, 269, 3955, 6761, 538, 1200, 2732, 267, 3635, 267, 3339, 1560, 2597, 5826, 267, 607, 1134, 607, 6527, 6322, 547, 28596, 28284, 267, 666, 948, 1082, 2021, 609, 623, 26714, 547, 3035, 513, 6379, 267, 1510, 2417, 7463, 7459, 563, 1103, 20117, 22289, 568, 8612, 585, 2021, 609, 623, 26714, 950, 824, 2564, 2175, 30598, 267, 971, 607, 2887, 26508, 8546, 21454, 267, 1970, 14203, 1293, 267, 610, 1256, 950, 2241, 7459, 723, 1044, 6836, 1510, 27548, 547, 1022, 2318, 2164, 563, 273, 269, 1548, 616, 519, 2427, 2360, 1315, 8374, 594, 1058, 2503, 952, 594, 723, 623, 26714, 543, 4309, 10001, 293, 2126, 888, 2691, 513, 4807, 609, 623, 26714, 25457, 606, 10001, 293, 267, 814, 2799, 8417, 547, 513, 17441, 25073, 3797, 267, 799, 568, 28955, 998, 519, 1646, 540, 513, 1804, 1297, 540, 522, 14231, 1282, 17441, 14242, 543, 2799, 17441, 2504, 689, 1200, 30124, 563, 4462, 25049, 17441, 14242, 666, 1291, 547, 606, 25073, 5409, 14242, 6794, 630, 15121, 7704, 1070, 513, 2783, 602, 10997, 519, 1560, 779, 1599, 267, 543, 2589, 899, 5714, 12802, 267, 11926, 267, 513, 4743, 540, 9636, 538, 519, 17737, 267, 7411, 538, 2712, 3215, 267, 610, 1256, 7362, 16531, 949, 2049, 563, 4913, 267, 2221, 267, 519, 27846, 7704, 814, 267, 585, 519, 1034, 851, 267, 1044, 3045, 8811, 23624, 607, 519, 21777, 2564, 10873, 649, 946, 267, 538, 14966, 609, 519, 1646, 540, 3956, 641, 637, 3569, 2553, 547, 19068, 782, 24201, 267, 1450, 519, 2922, 12032, 540, 519, 522, 22889, 23023, 543, 22289, 267, 1247, 21872, 4483, 568, 27185, 19861, 585, 513, 2663, 3942, 269, 4935, 267, 593, 519, 12614, 540, 513, 1007, 18492, 4783, 267, 513, 4807, 568, 5423, 585, 1200, 21872, 4483, 896, 6417, 2175, 609, 1100, 2417, 17441, 14242, 563, 274, 269, 1548, 568, 519, 1198, 540, 623, 26714, 593, 10001, 293, 888, 2691, 623, 26714, 5012, 547, 26983, 267, 621, 568, 2356, 1813, 547, 519, 9000, 540, 28284, 267, 543, 666, 1419, 581, 2404, 609, 824, 2042, 267, 971, 607, 513, 811, 7928, 4527, 540, 1799, 1155, 522, 14231, 563, 4913, 267, 609, 519, 3617, 14242, 10873, 543, 6527, 1031, 538, 10001, 293, 5574, 267, 607, 1134, 607, 519, 5767, 7835, 593, 21872, 3956, 641, 637, 3569, 267, 649, 2832, 547, 1689, 519, 2557, 540, 522, 22889, 30553, 543, 3976, 267, 2445, 607, 1082, 9921, 522, 14231, 267, 3617, 585, 22289, 267, 607, 2009, 563, 15563, 267, 1813, 547, 519, 2799, 25073, 8417, 547, 17441, 14242, 267, 519, 18262, 540, 519, 6527, 1031, 568, 2539, 267, 547, 2057, 2427, 2360, 543, 8374, 267, 1247, 7928, 543, 9836, 5464, 2429, 519, 2126, 568, 8045, 563, 318, 8615, 13648, 773, 267, 901, 23739, 568, 8704, 676, 5616, 24630, 269, 634, 23739, 568, 1031, 547, 5173, 21233, 267, 8400, 267, 5859, 1239, 543, 1832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21739, 3710, 899, 23600, 267, 855, 972, 616, 930, 11495, 3604, 269, 2986, 1576, 519, 17962, 3750, 568, 8273, 630, 12671, 519, 2450, 540, 513, 14255, 767, 10538, 1040, 634, 521, 743, 5028, 630, 537, 614, 9245, 264, 568, 1360, 5394, 543, 2178, 269, 1703, 616, 6091, 602, 1852, 711, 1175, 519, 2490, 540, 519, 3750, 543, 519, 5163, 540, 519, 561, 1749, 267, 855, 849, 519, 31732, 4288, 540, 519, 3003, 3750, 4252, 269, 634, 31894, 568, 711, 12347, 17031, 267, 855, 814, 513, 24609, 539, 1858, 269, 634, 20194, 267, 950, 26438, 267, 3029, 513, 8459, 3337, 269, 634, 7828, 568, 20085, 1141, 23600, 568, 24609, 539, 269, 1703, 568, 513, 8101, 1769, 18022, 22162, 9245, 630, 339, 777, 564, 636, 561, 16112, 636, 264, 593, 519, 22100, 267, 543, 519, 22100, 849, 814, 711, 835, 855, 1079, 2127, 540, 1164, 8417, 630, 325, 913, 2801, 1916, 5472, 540, 891, 3604, 2408, 547, 948, 11694, 519, 17962, 779, 3308, 5759, 538, 922, 5836, 1604, 269, 634, 5394, 521, 743, 5028, 2337, 3180, 519, 3750, 3337, 896, 8652, 18878, 2604, 269, 634, 2702, 547, 31732, 8775, 519, 4064, 4440, 3947, 519, 17962, 513, 3152, 2039, 540, 5075, 267, 543, 949, 1256, 9886, 621, 10822, 22811, 5075, 538, 519, 3148, 2630, 922, 11563, 269, 634, 12150, 31894, 949, 1450, 519, 3750, 547, 1599, 899, 536, 604, 665, 1023, 1700, 3559, 4771, 519, 3750, 547, 1445, 1312, 538, 519, 1216, 543, 538, 519, 2011, 269, 634, 8459, 11057, 26438, 20194, 5932, 1079, 4610, 540, 2070, 593, 1142, 3750, 267, 609, 1769, 9859, 547, 519, 1079, 535, 913, 2801, 1700, 320, 562, 604, 1399, 8945, 602, 1223, 630, 24047, 948, 609, 14015, 610, 1657, 21226, 5075, 269, 634, 7148, 564, 636, 561, 16112, 636, 12366, 3278, 519, 1769, 602, 10596, 998, 519, 22100, 267, 21528, 609, 5075, 538, 519, 17909, 563, 9617, 10443, 2066, 713, 3377, 6221, 827, 606, 3078, 8289, 532, 1700, 320, 3345, 7414, 1318, 17962, 630, 292, 889, 8403, 6511, 795, 777, 517, 3821, 264, 1055, 540, 3703, 12052, 269, 4340, 547, 519, 1650, 267, 891, 16385, 723, 1044, 8289, 539, 538, 8225, 7297, 1152, 3670, 2053, 538, 519, 2250, 476, 1911, 1296, 269, 4340, 547, 1250, 2817, 10748, 889, 517, 5980, 6651, 547, 13149, 26495, 1023, 540, 519, 2622, 267, 3345, 7414, 2924, 616, 1851, 519, 1158, 779, 968, 2865, 9691, 13155, 11864, 892, 1700, 11004, 949, 581, 607, 1906, 607, 476, 1911, 2451, 630, 2288, 519, 670, 4428, 5403, 1650, 3081, 968, 320, 1906, 4627, 282, 892, 5310, 513, 811, 2487, 7447, 1916, 763, 17962, 729, 4767, 543, 13227, 1117, 676, 27563, 20829, 513, 8225, 11076, 9856, 6928, 269, 13772, 519, 3381, 593, 519, 3095, 1657, 585, 930, 1390, 22089, 269, 1411, 666, 1294, 519, 2462, 5835, 880, 1289, 657, 885, 593, 922, 887, 1598, 636, 630, 1492, 5835, 880, 2681, 568, 2356, 1813, 547, 28383, 540, 17962, 561, 823, 1070, 543, 519, 10058, 966, 11057, 838, 719, 269, 1306, 519, 17962, 21477, 2471, 267, 4585, 585, 519, 1279, 267, 5347, 1394, 630, 7224, 24725, 1710, 1070, 543, 267, 693, 519, 1360, 1439, 540, 519, 17157, 267, 519, 2462, 2770, 7719, 563, 2304, 4277, 4063, 281, 519, 27563, 11287, 519, 17962, 3769, 3627, 16110, 543, 3400, 30937, 32762, 267, 1312, 540, 7247, 723, 1044, 10647, 17962, 1382, 585, 1082, 5756, 269, 8409, 1079, 723, 14754, 930, 1390, 4262, 2242, 538, 938, 1620, 540, 16385, 543, 538, 938, 8456, 4724, 873, 267, 607, 1134, 607, 10565, 2242, 538, 930, 17962, 5095, 269, 1215, 17501, 602, 789, 941, 1851, 519, 3283, 547, 2671, 713, 4686, 8289, 532, 563, 3528, 1631, 1034, 540, 721, 616, 5432, 609, 519, 6337, 540, 4262, 21495, 1193, 836, 1782, 538, 17787, 540, 5068, 267, 8941, 540, 4262, 16015, 3824, 20535, 5068, 11435, 602, 789, 4076, 19451, 585, 21297, 8127, 267, 543, 6589, 540, 11549, 520, 1484, 32138, 609, 1008, 22834, 25625, 14095, 609, 5068, 695, 1841, 269, 1284, 4076, 1044, 15372, 539, 693, 519, 2219, 540, 1804, 4773, 540, 23329, 17898, 1177, 2740, 11935, 8744, 12362, 7286, 2249, 547, 938, 24528, 563, 3719, 621, 779, 711, 1175, 519, 3677, 4773, 540, 7286, 11935, 649, 1058, 581, 7255, 827, 269, 634, 1966, 11498, 1524, 547, 519, 17646, 5006, 5068, 5536, 267, 799, 3362, 20847, 547, 4025, 649, 2461, 26224, 547, 3206, 540, 607, 3552, 543, 6552, 267, 543, 4283, 519, 1426, 5832, 998, 519, 7181, 338, 540, 1507, 3165, 563, 763, 2817, 22127, 5980, 568, 693, 960, 593, 513, 1788, 547, 8495, 543, 1857, 1125, 519, 3463, 15054, 676, 7286, 11935, 267, 543, 621, 779, 513, 4241, 543, 865, 828, 532, 1650, 269, 594, 4898, 875, 1454, 5068, 7475, 909, 538, 519, 7181, 338, 540, 1208, 335, 10587, 543, 610, 322, 553, 888, 289, 889, 1076, 5991, 564, 8023, 3884, 1406, 513, 1007, 2623, 538, 519, 4873, 879, 1858, 630, 527, 729, 4330, 676, 3220, 269, 8176, 30083, 553, 345, 538, 519, 476, 3192, 271, 338, 1040, 1809, 585, 5756, 267, 621, 1869, 5433, 4686, 547, 721, 4873, 879, 17962, 268, 10849, 21665, 269, 1411, 8910, 5873, 835, 610, 1079, 5359, 538, 513, 4832, 267, 543, 952, 596, 941, 18822, 2614, 547, 1294, 621, 3054, 267, 621, 11562, 5896, 7362, 1652, 1630, 8463, 547, 707, 2067, 626, 2828, 269, 769, 519, 2250, 2947, 1296, 267, 1498, 267, 621, 7959, 899, 649, 2461, 7487, 713, 18756, 4480, 811, 543, 811, 4749, 269, 898, 779, 1869, 11212, 13858, 267, 855, 621, 4667, 899, 519, 4278, 1571, 2097, 811, 1419, 563, 3086, 713, 3884, 1406, 8209, 782, 1813, 547, 606, 4890, 2333, 538, 4908, 540, 519, 2623, 269, 3487, 540, 621, 1223, 581, 606, 31074, 540, 811, 17962, 2914, 10248, 16996, 1373, 856, 593, 519, 1216, 267, 3246, 811, 7422, 269, 2368, 540, 621, 1223, 1175, 581, 519, 1267, 540, 938, 6385, 2987, 920, 2084, 2551, 540, 16385, 269, 12846, 1700, 6343, 952, 621, 2731, 568, 4742, 811, 7839, 1851, 519, 16385, 286, 634, 2623, 568, 15069, 1360, 3810, 20291, 1700, 527, 5526, 602, 1142, 17962, 538, 519, 1895, 814, 513, 6378, 1909, 610, 2990, 267, 10630, 538, 519, 5812, 11460, 950, 789, 10836, 693, 519, 2627, 630, 5408, 519, 8666, 1657, 1040, 5999, 8451, 281, 1215, 543, 1946, 798, 2516, 1106, 543, 23271, 286, 1215, 798, 1007, 16385, 6443, 286, 1215, 798, 30497, 16385, 1451, 1018, 779, 4397, 540, 873, 888, 296, 3893, 547, 3206, 827, 1895, 19389, 2121, 8023, 950, 594, 1224, 606, 2376, 827, 513, 1114, 1208, 335, 3724, 8023, 4480, 267, 538, 1715, 4789, 269, 634, 2623, 267, 1634, 607, 10981, 2389, 841, 8023, 267, 3322, 2766, 1793, 2355, 693, 519, 2627, 4553, 676, 19389, 1922, 29623, 269, 898, 21256, 16172, 1310, 513, 6749, 538, 1200, 2590, 5095, 538, 519, 3735, 476, 3192, 271, 338, 563, 1103, 513, 5063, 1790, 21242, 1957, 538, 519, 4760, 3163, 267, 19395, 267, 1284, 514, 5341, 267, 14929, 335, 8636, 267, 543, 681, 754, 749, 9916, 476, 2767, 1296, 540, 7422, 540, 713, 968, 1721, 1645, 5647, 1848, 4340, 547, 519, 1353, 267, 10981, 2389, 841, 8023, 9782, 538, 4908, 543, 886, 4310, 998, 519, 2551, 1282, 7766, 1296, 950, 5070, 561, 766, 5095, 941, 1164, 269, 634, 2079, 2488, 2178, 1489, 585, 513, 2203, 540, 2686, 6771, 1700, 7474, 568, 267, 519, 2963, 5267, 519, 16385, 616, 1565, 519, 4480, 689, 1142, 824, 267, 711, 10446, 6427, 532, 621, 563, 763, 1353, 20217, 6476, 543, 25127, 2507, 3657, 649, 7487, 513, 2147, 2333, 538, 519, 14913, 1325, 2532, 534, 4480, 286, 1656, 1018, 827, 18236, 711, 1175, 547, 824, 16385, 267, 855, 547, 824, 4525, 286, 1306, 540, 713, 1032, 267, 18756, 19389, 2121, 8023, 568, 711, 1634, 3544, 540, 7013, 14522, 269, 4024, 621, 5555, 581, 10299, 547, 824, 1208, 335, 3724, 5095, 286, 898, 779, 1187, 547, 581, 693, 519, 12473, 10938, 540, 971, 607, 9814, 2336, 2690, 513, 2603, 811, 593, 1208, 335, 3724, 1514, 25061, 1382, 538, 14913, 14522, 267, 2638, 856, 519, 14522, 1733, 1446, 7690, 779, 3896, 563, 2171, 3576, 513, 2656, 7552, 856, 547, 519, 3345, 19958, 10935, 10131, 713, 6640, 269, 1306, 649, 15504, 1524, 883, 519, 18736, 1858, 267, 513, 1208, 335, 3724, 17962, 17774, 3166, 5111, 476, 2004, 3952, 689, 519, 10131, 546, 1442, 269, 2755, 621, 779, 711, 796, 515, 731, 6361, 547, 1294, 16385, 538, 674, 761, 345, 595, 913, 267, 713, 835, 729, 26526, 2673, 547, 13272, 269, 1306, 649, 18902, 30099, 519, 10935, 547, 519, 19856, 267, 519, 17962, 5761, 539, 998, 519, 2627, 827, 476, 2568, 3952, 689, 519, 11824, 563, 8448, 10881, 5143, 721, 972, 729, 1945, 2462, 2469, 593, 896, 519, 1216, 269, 590, 13990, 540, 9597, 516, 7410, 267, 12269, 540, 575, 1638, 338, 267, 543, 1896, 32608, 941, 1818, 546, 1161, 267, 4440, 585, 519, 1482, 10352, 519, 17962, 729, 13389, 269, 1656, 540, 1576, 519, 15964, 4622, 13687, 535, 29913, 941, 1286, 537, 1088, 532, 1472, 1932, 269, 1284, 14478, 835, 10935, 2322, 339, 676, 282, 519, 9920, 543, 18213, 4769, 1406, 1256, 16145, 547, 519, 2427, 607, 519, 17962, 17774, 3166, 7404, 269, 2290, 10935, 9920, 5143, 721, 519, 17962, 1185, 1044, 1818, 922, 1378, 21448, 540, 519, 1858, 585, 3108, 563, 310, 880, 594, 1185, 513, 8666, 547, 2022, 267, 855, 1250, 8254, 729, 12617, 2620, 538, 606, 6418, 17927, 543, 621, 3576, 865, 1279, 547, 1349, 621, 602, 519, 17962, 729, 1524, 543, 20374, 676, 519, 942, 594, 1185, 621, 4712, 7498, 14503, 877, 568, 835, 540, 938, 5172, 16385, 269, 769, 476, 1001, 272, 1352, 1185, 1200, 1101, 28419, 630, 7474, 649, 917, 540, 1040, 1284, 14478, 1200, 4001, 1200, 28419, 267, 945, 649, 12183, 24887, 27910, 267, 875, 547, 12740, 922, 2770, 7719, 950, 11362, 269, 27910, 8604, 1360, 3348, 665, 1190, 269, 1284, 10093, 1406, 2938, 27910, 2094, 602, 2887, 267, 855, 4718, 4469, 877, 538, 519, 4832, 543, 2887, 540, 476, 1001, 273, 563, 4002, 1715, 13012, 4303, 540, 713, 1032, 267, 649, 4718, 2947, 16385, 8023, 538, 519, 674, 761, 345, 595, 913, 1858, 267, 543, 941, 2111, 547, 2697, 4469, 877, 1851, 873, 269, 1358, 941, 10483, 676, 513, 7008, 18797, 4262, 21495, 602, 8604, 547, 581, 1739, 519, 16385, 547, 3049, 593, 519, 2451, 13569, 563, 1103, 4728, 267, 513, 3659, 2083, 4364, 513, 17962, 8023, 609, 4262, 21495, 2282, 26267, 16047, 269, 1261, 4951, 721, 519, 22089, 267, 543, 547, 938, 9983, 543, 10508, 267, 621, 729, 4469, 877, 269, 634, 1974, 1063, 519, 1079, 8289, 902, 729, 865, 2110, 602, 649, 1589, 602, 1352, 949, 723, 18423, 782, 5162, 267, 1498, 649, 10093, 1406, 4862, 540, 1022, 8289, 902, 2094, 4571, 5336, 1105, 865, 621, 779, 849, 2009, 1352, 949, 723, 2451, 585, 16127, 1360, 3735, 563, 1103, 824, 3377, 267, 649, 4076, 2366, 519, 1433, 1055, 547, 519, 17002, 267, 1631, 649, 7227, 256, 1284, 1058, 723, 621, 538, 1688, 538, 476, 277, 268, 279, 4374, 269, 0, 4537, 12976, 476, 272, 910, 476, 274, 540, 476, 274, 2073, 13214, 942, 281, 476, 271, 269, 6349, 338, 454, 1103, 476, 6245, 279, 267, 519, 28631, 1299, 21586, 9835, 324, 21805, 3493, 582, 729, 32206, 543, 23762, 689, 519, 3312, 476, 6642, 271, 6149, 1244, 582, 547, 581, 968, 1492, 20923, 543, 1034, 12796, 1190, 593, 519, 3003, 1390, 1062, 892, 3544, 519, 3677, 4872, 540, 28631, 267, 12548, 25951, 267, 543, 623, 29301, 334, 269, 7585, 27538, 14635, 563, 288, 2101, 3595, 7018, 693, 519, 28631, 543, 21586, 9835, 324, 16456, 6703, 538, 5412, 476, 6245, 273, 267, 21006, 27552, 588, 8712, 538, 519, 5180, 5264, 267, 11157, 8696, 21525, 582, 1161, 267, 543, 519, 3684, 15945, 269, 21805, 5520, 543, 4961, 7307, 547, 4688, 8938, 21525, 582, 1161, 267, 855, 14796, 941, 6059, 693, 1269, 6110, 267, 1822, 269, 634, 21586, 9835, 324, 781, 11173, 16126, 593, 6428, 5866, 729, 7152, 538, 922, 31811, 543, 14219, 1173, 532, 540, 519, 8697, 3889, 269, 7585, 27538, 14635, 2807, 0, 17471, 8377, 568, 28428, 519, 1158, 4346, 1269, 273, 18265, 513, 1032, 538, 1072, 3790, 543, 2539, 7607, 267, 2687, 547, 513, 1353, 689, 519, 21025, 514, 8124, 6820, 4659, 269, 25667, 16034, 2484, 811, 14427, 982, 29015, 267, 2916, 1689, 267, 2011, 5533, 267, 543, 3075, 2042, 269, 898, 8813, 1175, 3297, 11439, 4655, 543, 7296, 538, 2474, 540, 519, 1034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 17022, 547, 2307, 2055, 827, 707, 3032, 779, 2564, 1686, 267, 946, 9196, 547, 2708, 707, 3032, 779, 9641, 543, 28296, 267, 543, 269, 1403, 596, 14353, 707, 3032, 547, 723, 26804, 10447, 267, 1491, 621, 547, 581, 2938, 676, 513, 16943, 269, 634, 16943, 786, 798, 513, 9488, 981, 543, 786, 2628, 2027, 3007, 547, 707, 3032, 781, 7929, 1062, 269, 1684, 711, 2119, 547, 13209, 707, 3032, 952, 596, 798, 711, 723, 519, 1318, 22754, 563, 2791, 949, 1439, 909, 3765, 10972, 1725, 3151, 543, 27235, 8156, 707, 3032, 269, 476, 275, 9839, 11988, 2068, 267, 7249, 24304, 2295, 5821, 267, 5761, 2860, 543, 16415, 666, 782, 1397, 4791, 4191, 2147, 547, 26804, 10447, 269, 1280, 713, 2601, 267, 14830, 12579, 2490, 547, 10368, 2645, 971, 607, 9221, 2473, 17530, 610, 16953, 267, 1973, 4255, 630, 10175, 2295, 11988, 4152, 264, 543, 30439, 531, 543, 19357, 658, 11547, 902, 630, 328, 4318, 269, 2921, 1591, 5439, 676, 1166, 5241, 519, 30439, 320, 543, 9641, 1040, 17588, 11155, 531, 557, 6897, 30225, 720, 630, 289, 3201, 264, 634, 1034, 17046, 1449, 2139, 568, 519, 17588, 11155, 531, 557, 6897, 30225, 720, 630, 289, 3201, 1070, 799, 3322, 2921, 513, 22024, 3732, 689, 519, 19357, 2723, 525, 543, 4974, 621, 896, 513, 17209, 547, 3313, 2436, 972, 568, 606, 2799, 1297, 540, 552, 28009, 2684, 2812, 630, 320, 1826, 540, 3043, 1973, 1591, 1040, 901, 1449, 568, 849, 3730, 585, 15194, 856, 5761, 2860, 269, 4475, 267, 649, 666, 2356, 1118, 519, 2953, 5868, 540, 26804, 10447, 952, 649, 4983, 1152, 513, 1906, 4791, 4191, 543, 10237, 4919, 4681, 267, 1519, 281, 476, 272, 269, 589, 1686, 540, 513, 6727, 12614, 540, 2978, 1819, 7244, 602, 568, 3533, 17212, 1386, 630, 17141, 264, 609, 930, 4999, 540, 5135, 267, 19357, 617, 559, 2209, 543, 28335, 269, 476, 273, 269, 674, 5202, 10447, 568, 1419, 11821, 609, 9663, 27750, 267, 950, 19081, 539, 4552, 8886, 919, 543, 8743, 956, 519, 28296, 267, 4611, 538, 513, 11522, 3766, 698, 3146, 339, 577, 10835, 269, 634, 2010, 540, 1449, 513, 17022, 1522, 2932, 1331, 281, 10552, 4255, 282, 30446, 2473, 17530, 1107, 547, 1413, 585, 269, 17588, 11155, 531, 557, 6897, 30225, 720, 630, 289, 3201, 2567, 901, 5650, 568, 5340, 676, 29780, 606, 24690, 2350, 515, 531, 8546, 883, 519, 3032, 781, 30439, 320, 896, 2489, 23236, 269, 901, 2636, 707, 16943, 547, 2047, 1491, 513, 3732, 540, 519, 12862, 1459, 269, 13958, 3151, 674, 5202, 8330, 8676, 269, 2659, 17022, 786, 13209, 26804, 10447, 676, 7900, 513, 9488, 2168, 981, 543, 2921, 513, 2347, 2564, 1686, 269, 2659, 17022, 786, 1616, 547, 4341, 856, 824, 3123, 540, 26804, 23472, 543, 765, 22689, 267, 865, 646, 949, 1685, 513, 2039, 540, 4255, 269, 1261, 3513, 2638, 585, 2295, 11988, 267, 5761, 11988, 543, 9190, 3968, 269, 634, 1034, 5812, 267, 1034, 6325, 267, 543, 1034, 2500, 2126, 585, 26804, 10447, 568, 1164, 9570, 267, 1279, 2165, 5711, 29416, 8803, 6950, 269, 594, 2253, 2126, 540, 4230, 327, 15122, 7314, 609, 2392, 23036, 821, 267, 476, 272, 268, 273, 8406, 21515, 1093, 19915, 585, 476, 1015, 268, 1691, 2395, 269, 2311, 713, 1448, 519, 5354, 540, 9241, 8995, 7314, 609, 10447, 786, 1745, 543, 957, 1454, 1732, 269, 674, 5202, 10447, 674, 5202, 10447, 568, 513, 1455, 13027, 7929, 2068, 538, 7314, 267, 7133, 693, 2547, 835, 2600, 540, 782, 2937, 7314, 5001, 269, 898, 568, 513, 5312, 11636, 2068, 585, 799, 972, 568, 1100, 10826, 269, 5871, 1623, 696, 0, 11771, 9564, 568, 519, 1148, 540, 24208, 1957, 269, 634, 25954, 540, 1976, 9564, 568, 11543, 11610, 543, 19262, 782, 519, 1929, 601, 697, 269, 634, 1148, 568, 3728, 16042, 4928, 5468, 269, 13876, 2213, 585, 922, 1082, 4052, 6286, 267, 1976, 9564, 568, 513, 22906, 585, 1312, 1453, 543, 4079, 269, 4635, 1976, 9564, 3631, 609, 3879, 13577, 12222, 543, 5528, 666, 4217, 538, 519, 2318, 2208, 540, 707, 1126, 781, 2247, 563, 4131, 781, 19586, 875, 513, 2241, 1957, 24208, 1148, 666, 4324, 707, 2247, 267, 1560, 267, 543, 9997, 563, 295, 25744, 256, 1411, 3580, 6336, 476, 3199, 260, 540, 1018, 596, 1175, 4121, 563, 6826, 520, 519, 1280, 1326, 1154, 4354, 557, 676, 20808, 909, 547, 476, 2004, 260, 811, 1344, 609, 2890, 19543, 269, 7476, 519, 813, 454, 763, 18882, 540, 7880, 9564, 454, 1607, 1957, 8154, 814, 5545, 5072, 267, 607, 1412, 528, 340, 262, 1797, 1412, 1729, 16784, 262, 543, 1412, 330, 9564, 262, 1797, 1412, 17549, 8339, 898, 568, 849, 513, 851, 540, 4457, 2528, 543, 568, 1572, 1412, 345, 515, 345, 6062, 262, 538, 3624, 269, 7880, 9564, 568, 513, 5578, 602, 666, 581, 6836, 676, 782, 543, 568, 513, 5386, 2634, 3635, 269, 898, 729, 2442, 2213, 676, 1976, 9564, 6264, 24490, 13019, 4275, 962, 9655, 714, 11867, 563, 19119, 540, 7880, 9564, 538, 513, 715, 7491, 17850, 454, 8256, 18790, 922, 4105, 5383, 267, 519, 5545, 723, 1500, 1976, 9564, 513, 851, 540, 519, 10026, 1153, 6437, 269, 16340, 569, 6340, 267, 713, 1148, 10953, 912, 3719, 267, 972, 781, 1256, 811, 1976, 9564, 814, 547, 2709, 547, 707, 1126, 781, 2208, 269, 2913, 781, 1413, 883, 875, 1976, 9564, 1587, 1947, 8309, 547, 707, 1126, 781, 2069, 563, 763, 3447, 894, 31834, 540, 7880, 9564, 454, 2710, 596, 3314, 519, 2063, 942, 596, 2965, 25649, 1957, 547, 1118, 513, 8768, 610, 606, 7098, 6955, 2033, 286, 31598, 711, 269, 769, 1034, 7653, 267, 519, 1957, 1922, 13783, 1148, 568, 25323, 607, 513, 1187, 2250, 830, 269, 1809, 267, 621, 568, 942, 596, 1205, 519, 1655, 1976, 9564, 1957, 543, 11760, 519, 9059, 621, 666, 1711, 269, 901, 1957, 1922, 13783, 5578, 568, 513, 1590, 2389, 787, 585, 4079, 543, 3214, 7567, 269, 14755, 922, 9354, 5383, 267, 3504, 1976, 9564, 1148, 849, 2640, 1453, 538, 519, 2413, 6377, 4928, 269, 1284, 26246, 782, 519, 1713, 4128, 1946, 596, 543, 707, 4819, 1058, 1451, 875, 547, 1118, 1976, 9564, 563, 4131, 781, 1413, 883, 519, 13300, 540, 1976, 9564, 835, 676, 835, 912, 258, 272, 19556, 543, 25705, 10341, 4886, 454, 8601, 922, 3638, 1686, 267, 519, 946, 540, 1976, 9564, 547, 4001, 6310, 2035, 899, 8454, 543, 9511, 568, 5266, 2487, 269, 769, 9511, 13460, 267, 1053, 666, 1174, 519, 2035, 540, 15340, 543, 5546, 676, 1483, 2358, 873, 593, 513, 4062, 540, 1957, 269, 4634, 2653, 1976, 9564, 666, 2285, 707, 2634, 519, 3617, 3635, 547, 2087, 3965, 267, 5834, 267, 6015, 267, 543, 9639, 563, 11771, 9564, 8591, 547, 519, 1565, 676, 9306, 606, 4890, 3308, 1995, 269, 1879, 707, 1126, 5784, 621, 609, 1976, 9564, 267, 519, 1565, 3587, 8628, 269, 5047, 267, 713, 3860, 5578, 22851, 519, 2247, 267, 543, 519, 1126, 8362, 15824, 1247, 1316, 2358, 3079, 540, 1373, 513, 14980, 20626, 563, 2080, 616, 513, 1906, 540, 519, 1082, 1919, 707, 1126, 666, 3035, 998, 1976, 9564, 1565, 912, 763, 1523, 540, 15340, 268, 7880, 9564, 11414, 827, 27101, 543, 12623, 20470, 3270, 563, 9288, 5501, 906, 543, 17773, 281, 12861, 606, 1976, 9564, 7098, 6955, 2033, 610, 1022, 824, 3337, 3340, 1620, 7403, 269, 1280, 1383, 267, 950, 596, 16784, 476, 273, 270, 274, 540, 519, 1259, 610, 18846, 519, 1957, 28870, 547, 1106, 513, 3337, 563, 10481, 5852, 281, 16610, 540, 1585, 5546, 899, 10945, 267, 12730, 267, 543, 25965, 616, 11368, 538, 1976, 9564, 269, 898, 666, 948, 707, 1126, 1174, 3362, 799, 3337, 568, 1018, 563, 274, 291, 24366, 281, 7880, 9564, 1565, 1184, 10597, 519, 6947, 1983, 540, 1053, 269, 634, 811, 789, 6432, 267, 519, 811, 789, 1451, 563, 258, 273, 16685, 11804, 18509, 1588, 454, 11771, 9564, 568, 606, 1148, 602, 3322, 1312, 5042, 543, 5179, 1983, 269, 3194, 2982, 602, 519, 2241, 26642, 540, 1957, 666, 948, 538, 1079, 2081, 912, 26670, 766, 2706, 574, 6570, 538, 1453, 563, 8269, 710, 16369, 2994, 538, 1453, 563, 3519, 8019, 267, 741, 1688, 31378, 11558, 10607, 267, 543, 741, 829, 24632, 1983, 616, 22541, 563, 1692, 1281, 713, 948, 707, 1126, 888, 5415, 6909, 829, 24632, 1983, 2285, 519, 2702, 547, 2708, 543, 21028, 3270, 269, 2659, 1126, 3587, 811, 740, 30794, 693, 1620, 513, 3510, 269, 4935, 267, 1053, 3533, 9787, 267, 6218, 267, 543, 957, 593, 1022, 2016, 1344, 563, 289, 18847, 1899, 281, 8866, 262, 12802, 267, 5834, 267, 543, 5042, 1983, 666, 581, 2919, 998, 2653, 1976, 9564, 3270, 563, 258, 274, 3763, 338, 513, 9046, 4149, 6295, 5900, 3363, 454, 2080, 781, 513, 1187, 1249, 281, 7880, 9564, 568, 711, 1175, 513, 1126, 781, 1404, 269, 898, 814, 519, 2626, 547, 1082, 2055, 538, 519, 2361, 540, 6323, 267, 6128, 267, 543, 17651, 269, 898, 2337, 1020, 3621, 6436, 543, 568, 513, 7372, 5734, 1851, 3173, 543, 3744, 269, 3958, 267, 606, 3003, 2361, 540, 1976, 600, 1235, 814, 4547, 513, 2898, 1007, 2427, 547, 519, 7499, 1158, 269, 3962, 16784, 540, 1957, 630, 21406, 513, 1212, 848, 264, 3096, 17133, 543, 5876, 8195, 563, 12441, 596, 917, 602, 1082, 3744, 3337, 741, 1976, 9564, 3631, 607, 513, 1966, 9010, 3635, 888, 2690, 713, 2601, 267, 621, 814, 1831, 606, 1898, 1907, 538, 519, 2361, 540, 6128, 543, 7344, 4702, 269, 5381, 2853, 666, 849, 581, 1031, 538, 519, 8108, 5933, 540, 2069, 543, 1126, 1646, 269, 1879, 621, 2501, 547, 2679, 1966, 19985, 6061, 5759, 267, 972, 616, 1079, 3344, 4988, 676, 1976, 9564, 1565, 5751, 912, 13828, 1983, 616, 2877, 547, 4835, 1047, 513, 1966, 269, 901, 1966, 9010, 19773, 3648, 5222, 707, 1126, 781, 7180, 543, 2949, 7209, 563, 258, 275, 30205, 338, 27065, 454, 11771, 9564, 1008, 10280, 5876, 543, 7279, 538, 513, 2875, 269, 1635, 24208, 513, 1957, 1212, 848, 1310, 1212, 848, 267, 596, 23362, 18783, 519, 1439, 1267, 269, 898, 666, 581, 513, 7077, 267, 513, 8768, 267, 513, 15529, 267, 610, 1256, 606, 17707, 269, 1703, 568, 562, 1297, 540, 7399, 609, 1976, 9564, 269, 5753, 22392, 1957, 609, 741, 1378, 3946, 3947, 873, 513, 2631, 540, 9740, 269, 901, 2417, 25793, 10449, 741, 3860, 7060, 563, 295, 27941, 19195, 3206, 1983, 1205, 7722, 538, 1976, 9564, 1565, 269, 5994, 2324, 609, 782, 707, 9345, 547, 2322, 1927, 519, 1034, 12716, 4062, 540, 5137, 269, 1656, 596, 1628, 621, 782, 689, 513, 2582, 6656, 540, 1957, 269, 4475, 267, 1976, 9564, 2640, 676, 5935, 23141, 563, 292, 6470, 543, 10097, 267, 713, 5545, 20013, 814, 23349, 1379, 538, 922, 9161, 2065, 26642, 269, 2201, 602, 2272, 267, 1976, 9564, 1362, 5809, 607, 513, 3056, 15908, 547, 11654, 269, 898, 666, 581, 4121, 689, 9170, 282, 782, 621, 7569, 568, 513, 6978, 540, 1957, 269, 30488, 666, 1246, 543, 11654, 713, 5578, 20471, 563, 19445, 1565, 5867, 267, 899, 918, 944, 12267, 267, 723, 1500, 713, 1184, 1256, 5488, 585, 6267, 269, 3807, 1413, 909, 606, 1976, 9564, 14357, 267, 1451, 6414, 1836, 267, 543, 596, 786, 581, 1818, 2653, 1976, 9564, 538, 1100, 942, 563, 258, 276, 8871, 4925, 4317, 10341, 454, 12892, 2358, 568, 606, 7533, 851, 540, 513, 1268, 781, 2208, 269, 7880, 9564, 568, 513, 3532, 1907, 547, 1628, 2556, 1514, 1983, 1851, 3214, 269, 6333, 621, 547, 581, 513, 1797, 585, 1453, 543, 4079, 547, 2097, 1927, 547, 1451, 543, 1711, 1945, 3312, 269, 12140, 946, 1976, 9564, 547, 4001, 519, 1871, 540, 16542, 543, 18756, 1565, 563, 2026, 513, 1895, 1788, 267, 1976, 9564, 22262, 5872, 267, 13976, 4296, 267, 543, 18791, 17187, 1983, 269, 2201, 513, 2427, 4063, 267, 1453, 666, 2744, 3638, 1702, 998, 8343, 543, 676, 1739, 5528, 269, 28900, 267, 789, 1831, 811, 22205, 540, 1007, 5380, 563, 11771, 9564, 568, 811, 540, 513, 9066, 602, 2620, 839, 609, 2259, 543, 9639, 269, 6270, 6208, 1628, 3280, 1514, 1983, 538, 1453, 1282, 741, 3355, 11095, 1296, 563, 258, 277, 589, 1749, 4937, 25682, 454, 2026, 606, 8626, 27274, 13533, 543, 3860, 5578, 267, 1976, 9564, 814, 9354, 2640, 689, 3872, 3283, 269, 898, 8992, 2489, 9716, 676, 5316, 5024, 513, 1268, 781, 2631, 540, 9740, 543, 9547, 269, 901, 568, 519, 1482, 9547, 15888, 882, 880, 950, 1818, 1919, 856, 540, 6094, 2011, 563, 2691, 596, 16784, 513, 1957, 267, 621, 3587, 606, 10137, 540, 707, 5075, 267, 543, 621, 5012, 547, 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 ]