Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 568, 513, 19967, 2262, 602, 1797, 2048, 320, 1434, 2669, 685, 1107, 621, 568, 1031, 547, 4766, 454, 8072, 817, 13554, 11980, 9957, 5221, 789, 3494, 538, 519, 18813, 640, 540, 1272, 1034, 10271, 454, 732, 1996, 552, 30984, 1107, 952, 596, 3314, 267, 789, 3494, 602, 2696, 814, 513, 1544, 454, 1721, 3025, 543, 649, 12582, 1406, 15936, 609, 713, 1544, 563, 5278, 10271, 3494, 602, 538, 930, 6381, 552, 30984, 666, 581, 519, 454, 2865, 15962, 3364, 547, 798, 630, 324, 3052, 269, 952, 2576, 568, 12955, 538, 513, 2603, 540, 1928, 1040, 1703, 568, 606, 454, 6716, 5314, 1572, 667, 793, 26320, 267, 1759, 538, 16848, 602, 11438, 856, 19443, 454, 24175, 15969, 269, 1411, 949, 6999, 547, 3277, 547, 519, 1650, 540, 7788, 25306, 267, 519, 4387, 945, 454, 13195, 19443, 547, 5884, 676, 667, 793, 26320, 267, 610, 12253, 6276, 519, 1762, 476, 2537, 1032, 2025, 24821, 2421, 454, 16651, 945, 729, 1612, 26087, 539, 269, 4107, 10271, 267, 2705, 3494, 602, 1480, 1272, 454, 529, 10723, 543, 1004, 1058, 711, 1491, 1272, 2476, 269, 1452, 10271, 1131, 8044, 454, 7474, 1004, 945, 616, 12955, 1223, 979, 547, 513, 9869, 823, 269, 9869, 1182, 616, 1419, 454, 22146, 14540, 267, 799, 1491, 1416, 540, 1004, 945, 616, 12955, 676, 3246, 454, 29442, 609, 1928, 8323, 543, 1489, 865, 602, 789, 666, 5884, 538, 15683, 563, 1103, 2489, 10271, 1589, 602, 11980, 568, 4636, 269, 769, 519, 2250, 621, 1031, 547, 581, 2938, 454, 553, 513, 1360, 3978, 5609, 543, 1004, 602, 8149, 11980, 941, 711, 4847, 547, 454, 2041, 12617, 538, 519, 5939, 28200, 269, 4653, 1034, 10271, 1491, 513, 1454, 811, 454, 1910, 5404, 24602, 1935, 547, 1004, 945, 2119, 547, 3479, 11980, 269, 1358, 1589, 602, 621, 454, 529, 1271, 547, 1397, 2648, 543, 1489, 547, 891, 1004, 865, 602, 789, 1100, 3476, 454, 342, 880, 547, 6146, 2933, 563, 307, 8084, 476, 275, 1107, 4168, 4978, 827, 519, 946, 540, 2831, 538, 2564, 1382, 454, 1607, 1888, 6402, 609, 519, 960, 596, 1705, 593, 3163, 543, 15215, 269, 634, 1919, 454, 9767, 19927, 607, 851, 540, 519, 1888, 593, 18972, 543, 12292, 607, 851, 540, 602, 5149, 786, 454, 2041, 3730, 585, 713, 1888, 269, 1403, 596, 3314, 267, 519, 1883, 2798, 689, 713, 941, 602, 281, 8894, 5278, 10271, 3494, 607, 649, 616, 519, 9120, 5198, 543, 723, 2531, 514, 542, 454, 1478, 782, 7068, 649, 946, 2831, 585, 2564, 1382, 454, 8448, 10271, 3494, 649, 616, 782, 2696, 779, 7068, 543, 865, 649, 723, 513, 454, 22529, 2225, 547, 1416, 585, 824, 2831, 563, 3383, 267, 538, 6935, 547, 2564, 1382, 267, 1317, 930, 10271, 3494, 602, 454, 21065, 753, 616, 2696, 779, 1034, 1271, 5137, 267, 789, 3494, 621, 568, 11807, 547, 454, 2224, 2831, 585, 2564, 1382, 952, 602, 786, 948, 1265, 524, 999, 585, 1480, 454, 4913, 267, 1317, 513, 2603, 540, 10271, 849, 3494, 602, 789, 723, 2048, 560, 1168, 13734, 20371, 1478, 519, 3618, 267, 789, 1058, 1491, 1416, 540, 2831, 543, 711, 1521, 873, 2267, 11481, 563, 1607, 1797, 602, 1256, 1498, 789, 949, 581, 1031, 585, 2564, 1382, 267, 789, 454, 29019, 581, 5701, 1134, 543, 711, 1500, 547, 7985, 11032, 947, 3320, 563, 6546, 6227, 519, 476, 275, 3584, 538, 713, 5149, 1107, 1175, 547, 7618, 596, 1934, 616, 519, 454, 307, 8084, 476, 272, 1107, 2806, 10407, 454, 290, 987, 21095, 543, 27284, 10271, 3494, 1272, 5956, 693, 17748, 543, 454, 5158, 568, 10723, 269, 1306, 2696, 5795, 1272, 1152, 646, 666, 1491, 621, 2476, 269, 2806, 10407, 568, 4061, 454, 332, 584, 1457, 269, 2368, 10271, 1589, 602, 1272, 5956, 2663, 538, 6379, 543, 865, 606, 454, 22022, 16377, 568, 11807, 563, 8448, 10271, 3494, 602, 16377, 666, 581, 20582, 952, 519, 3993, 814, 1044, 454, 1905, 539, 267, 519, 4816, 568, 632, 11526, 610, 972, 568, 513, 8594, 547, 519, 3993, 563, 763, 1152, 2601, 23597, 1522, 3398, 606, 16377, 568, 519, 5595, 1198, 1141, 454, 11004, 568, 8594, 547, 519, 3993, 543, 4816, 563, 307, 8084, 476, 273, 1107, 674, 19910, 2126, 454, 5278, 10271, 798, 711, 3398, 12680, 2126, 607, 513, 4816, 568, 513, 10516, 689, 2696, 454, 663, 621, 568, 2696, 779, 786, 952, 519, 4807, 8813, 9176, 563, 8448, 10271, 949, 3398, 12680, 2126, 607, 621, 568, 519, 15962, 3364, 547, 798, 547, 454, 523, 762, 513, 7008, 547, 723, 513, 4816, 563, 17843, 2010, 540, 12680, 2126, 1331, 3642, 295, 1107, 5841, 538, 20611, 609, 454, 327, 639, 7171, 779, 14203, 543, 589, 2839, 1107, 5841, 538, 20611, 609, 513, 20033, 779, 14203, 269, 2368, 454, 13731, 2103, 798, 711, 29343, 540, 589, 2839, 607, 621, 12857, 513, 3791, 1268, 883, 519, 454, 4353, 293, 3322, 6992, 2358, 5798, 3544, 519, 27042, 543, 13936, 873, 538, 513, 4837, 454, 323, 880, 269, 11153, 6992, 2213, 5798, 610, 24201, 616, 5579, 5896, 1394, 883, 519, 4807, 563, 763, 6967, 5798, 616, 10032, 1107, 799, 930, 10271, 2070, 607, 12638, 563, 292, 1375, 21856, 6087, 930, 2021, 547, 1831, 9176, 1107, 855, 972, 568, 1869, 513, 454, 628, 2273, 1268, 538, 519, 2078, 563, 20776, 5766, 622, 11299, 786, 1831, 9176, 1498, 3642, 610, 10001, 293, 543, 4163, 519, 4816, 454, 1729, 2165, 267, 1688, 532, 621, 936, 547, 519, 3237, 950, 621, 568, 4535, 563, 5141, 11238, 6087, 606, 3169, 5299, 547, 581, 1500, 689, 2713, 5160, 269, 634, 7399, 454, 732, 547, 948, 1004, 609, 10682, 8219, 610, 824, 1560, 2694, 269, 2368, 454, 13731, 2103, 28586, 28295, 607, 621, 568, 711, 2067, 563, 307, 8084, 476, 274, 1107, 661, 30984, 543, 11980, 454, 292, 30984, 568, 1776, 2012, 585, 19443, 11980, 269, 4107, 10271, 798, 711, 3858, 454, 5976, 552, 30984, 607, 1272, 568, 10723, 543, 513, 10516, 689, 2696, 269, 4658, 945, 616, 2192, 666, 454, 2998, 883, 513, 9869, 823, 1141, 789, 786, 581, 6743, 1310, 543, 25374, 585, 563, 5278, 10271, 1131, 1489, 661, 30984, 607, 621, 1131, 581, 519, 15962, 3364, 547, 454, 4777, 547, 948, 2576, 945, 568, 538, 1390, 1928, 610, 945, 814, 1100, 2298, 540, 1272, 563, 13731, 2103, 10990, 609, 11980, 1107, 1152, 2696, 814, 519, 1318, 547, 1491, 1272, 269, 1717, 454, 339, 3736, 1004, 616, 811, 25091, 547, 13986, 647, 15969, 1317, 789, 454, 13440, 1758, 1047, 519, 7092, 891, 1004, 616, 11972, 563, 307, 8084, 476, 275, 1107, 12292, 543, 2564, 1382, 454, 5278, 10271, 3494, 649, 616, 519, 9120, 2249, 267, 1500, 676, 2696, 538, 1010, 454, 13548, 543, 2016, 513, 9997, 269, 18972, 723, 2531, 514, 542, 630, 31553, 543, 1379, 264, 936, 454, 1278, 7068, 865, 621, 568, 15528, 547, 946, 873, 585, 2564, 1382, 585, 519, 4324, 540, 454, 7197, 10271, 849, 3494, 649, 723, 19642, 936, 519, 1158, 543, 922, 454, 534, 7769, 865, 649, 1058, 711, 2014, 11991, 7092, 547, 2831, 563, 763, 12204, 540, 2055, 596, 1522, 1205, 538, 713, 1770, 1331, 10778, 2690, 476, 272, 1665, 513, 4214, 2243, 1107, 2048, 6343, 568, 2560, 1862, 20371, 2690, 476, 273, 7436, 1533, 476, 273, 5013, 827, 519, 1888, 563, 2690, 476, 274, 7436, 4766, 4168, 4978, 827, 519, 1888, 269, 630, 292, 2416, 2285, 476, 274, 5094, 454, 9557, 610, 2285, 476, 273, 2798, 609, 7778, 1916, 2690, 476, 277, 7436, 2491, 1114, 4168, 8456, 827, 519, 1888, 269, 901, 12134, 596, 454, 1729, 1469, 519, 1114, 4168, 8456, 543, 1946, 789, 723, 873, 269, 1879, 596, 454, 17839, 547, 2626, 713, 476, 277, 27360, 2243, 267, 4952, 476, 273, 9587, 18188, 2048, 5278, 454, 13731, 2103, 685, 543, 2048, 8448, 10271, 17483, 763, 2063, 2243, 568, 585, 476, 1321, 7436, 269, 898, 786, 2285, 513, 3948, 543, 2307, 596, 547, 454, 29171, 1380, 621, 267, 4758, 6587, 16752, 543, 849, 13288, 547, 8567, 563, 1607, 1058, 581, 12943, 538, 476, 274, 6810, 563, 5575, 2285, 596, 1378, 6644, 609, 4128, 585, 707, 4978, 1775, 4318, 269, 2285, 519, 1018, 543, 454, 1492, 1946, 269, 3973, 1246, 593, 4758, 606, 6587, 1448, 540, 2070, 609, 4128, 585, 454, 30772, 2328, 827, 1018, 930, 10271, 3494, 267, 609, 4128, 543, 952, 454, 335, 6372, 513, 4704, 689, 519, 6426, 610, 513, 10839, 563, 23612, 569, 267, 1533, 1018, 824, 10271, 3494, 607, 513, 1114, 21169, 267, 4758, 454, 516, 3517, 543, 849, 513, 4704, 689, 519, 6426, 610, 513, 10839, 563, 296, 4126, 596, 1265, 713, 15264, 3730, 547, 948, 596, 609, 707, 14469, 269, 5457, 2676, 2532, 707, 4116, 585, 1022, 3063, 948, 952, 972, 616, 930, 1919, 596, 1869, 798, 711, 0, 12850, 15724, 583, 1218, 543, 17796, 454, 293, 650, 538, 519, 1739, 3349, 540, 5533, 2959, 543, 519, 14107, 602, 616, 454, 10090, 730, 693, 689, 1142, 563, 13126, 11202, 11077, 715, 19153, 20767, 9323, 24768, 454, 311, 2473, 2473, 2473, 454, 311, 2473, 2473, 454, 311, 2473, 2473, 2473, 454, 15650, 540, 4826, 21694, 912, 272, 269, 8672, 21299, 15724, 583, 656, 281, 2290, 1808, 2707, 602, 568, 3362, 27424, 543, 4857, 563, 14300, 281, 32506, 609, 513, 8963, 10612, 563, 273, 269, 6348, 15304, 21299, 15724, 583, 656, 281, 3502, 835, 1808, 2707, 602, 666, 581, 3362, 27424, 610, 4857, 563, 14300, 281, 2353, 2010, 540, 20359, 267, 3679, 4764, 267, 3092, 563, 3963, 568, 621, 1360, 2352, 547, 2973, 909, 15780, 2899, 621, 3587, 13572, 888, 2005, 568, 11895, 543, 2352, 547, 1569, 269, 16140, 1216, 7575, 1360, 7444, 269, 13985, 28875, 616, 454, 16248, 6301, 595, 20975, 540, 18610, 4248, 15724, 583, 1218, 454, 272, 269, 29828, 720, 281, 17667, 3653, 689, 3425, 610, 2872, 630, 1415, 2251, 602, 4422, 1524, 513, 8963, 610, 16003, 454, 1742, 909, 538, 519, 1482, 1747, 1916, 320, 269, 769, 16955, 281, 6464, 602, 1810, 1406, 723, 3327, 538, 873, 269, 7151, 1765, 659, 1749, 267, 18168, 563, 321, 269, 17667, 281, 6464, 602, 2270, 3327, 269, 7151, 1765, 325, 1601, 559, 10173, 267, 865, 2355, 563, 322, 269, 661, 583, 5268, 1709, 281, 856, 540, 1852, 2208, 540, 13479, 543, 2371, 538, 22253, 543, 12647, 1813, 547, 454, 274, 269, 26365, 543, 15571, 5562, 454, 307, 615, 7356, 5533, 568, 1022, 2333, 538, 1216, 2837, 1813, 547, 1480, 2534, 563, 20238, 1470, 5562, 5533, 568, 519, 13311, 4527, 540, 14599, 1570, 7133, 1022, 454, 3963, 1216, 568, 3362, 13572, 454, 320, 269, 621, 7028, 19800, 1272, 630, 628, 902, 602, 2014, 2068, 899, 547, 2661, 538, 1216, 1916, 321, 269, 621, 568, 8701, 1765, 331, 1824, 540, 1114, 1919, 666, 23271, 538, 1216, 563, 322, 269, 30691, 630, 334, 2812, 264, 10581, 454, 4002, 519, 5377, 540, 713, 2985, 267, 4766, 519, 2596, 3268, 540, 519, 21137, 2126, 1184, 649, 946, 538, 454, 1492, 2136, 2276, 269, 10576, 519, 3017, 1063, 3119, 543, 6281, 21137, 2126, 269, 12810, 454, 1492, 1184, 607, 513, 2095, 24577, 563, 27650, 21137, 2126, 568, 6140, 513, 2168, 1184, 1141, 519, 1216, 568, 5293, 998, 513, 3126, 540, 454, 338, 920, 839, 547, 1205, 1804, 17571, 856, 269, 3752, 1749, 616, 849, 4847, 547, 7017, 856, 1813, 547, 8904, 269, 853, 4428, 568, 9308, 454, 339, 2586, 856, 1282, 3119, 2126, 563, 13553, 776, 21137, 2126, 568, 1312, 2168, 543, 3114, 269, 12085, 971, 607, 5135, 267, 4551, 267, 543, 454, 18608, 710, 616, 3773, 547, 519, 1216, 538, 1114, 20830, 269, 853, 4428, 568, 3773, 547, 519, 1216, 1282, 6281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 1015, 268, 14168, 13979, 547, 15011, 337, 779, 5858, 540, 24880, 21017, 2013, 780, 1012, 15011, 337, 779, 5858, 540, 24880, 21017, 2013, 780, 2162, 12474, 540, 519, 2022, 780, 1103, 713, 2022, 267, 649, 786, 581, 6158, 827, 15011, 337, 779, 5858, 540, 24880, 21017, 2013, 269, 15011, 337, 779, 5858, 540, 24880, 21017, 2013, 568, 519, 2013, 1141, 519, 4090, 540, 24880, 827, 519, 1535, 14289, 568, 8273, 982, 519, 4090, 540, 24880, 827, 7852, 962, 267, 543, 519, 1587, 540, 24880, 594, 15383, 568, 2942, 780, 2171, 2503, 602, 519, 17242, 1871, 540, 476, 273, 15184, 335, 568, 2318, 689, 519, 3830, 540, 16009, 476, 273, 15184, 335, 2094, 594, 15383, 568, 2942, 269, 5565, 1806, 540, 5546, 602, 14183, 519, 4170, 540, 594, 343, 267, 594, 344, 267, 543, 594, 15383, 799, 616, 519, 21376, 5086, 609, 536, 285, 320, 267, 649, 2015, 519, 594, 343, 267, 594, 344, 267, 543, 594, 15383, 827, 519, 595, 326, 267, 538, 713, 2013, 267, 649, 946, 536, 547, 6318, 519, 7299, 3845, 536, 547, 519, 1379, 540, 476, 274, 267, 799, 786, 1291, 547, 606, 2333, 538, 594, 343, 1871, 780, 763, 2034, 1383, 568, 519, 1318, 5086, 6906, 2013, 476, 272, 267, 1141, 594, 343, 3436, 296, 344, 543, 594, 15383, 568, 2942, 693, 519, 595, 326, 269, 1284, 723, 594, 343, 693, 595, 326, 11224, 536, 265, 327, 317, 274, 270, 3607, 267, 1247, 519, 1871, 540, 594, 344, 693, 519, 595, 326, 786, 581, 3160, 547, 554, 265, 321, 317, 274, 270, 1321, 269, 634, 1587, 540, 24880, 594, 15383, 1871, 786, 581, 1336, 547, 581, 3160, 547, 910, 321, 317, 273, 265, 327, 317, 273, 270, 7761, 780, 2162, 1548, 568, 519, 10066, 540, 519, 9030, 17887, 585, 15011, 337, 779, 5858, 540, 24880, 21017, 2013, 2496, 2171, 723, 519, 2489, 4082, 585, 519, 4090, 540, 24880, 585, 1022, 20218, 7852, 267, 649, 1289, 621, 594, 343, 9957, 1280, 15011, 337, 779, 5858, 540, 519, 24880, 21017, 2013, 267, 519, 1871, 666, 581, 513, 5021, 1871, 950, 519, 5086, 476, 273, 15184, 814, 513, 25482, 540, 513, 2318, 1871, 543, 519, 20534, 1871, 568, 849, 2318, 267, 713, 5086, 568, 1572, 476, 273, 15184, 780, 2690, 513, 2318, 476, 273, 15184, 267, 4706, 20534, 543, 25482, 786, 581, 2318, 269, 901, 5086, 568, 6027, 689, 519, 2473, 14289, 547, 7852, 772, 538, 519, 1884, 545, 6674, 3772, 4287, 269, 1403, 649, 2638, 594, 343, 685, 4082, 950, 594, 343, 568, 8273, 982, 594, 344, 267, 519, 1101, 2165, 630, 296, 343, 266, 296, 344, 8358, 273, 786, 581, 2318, 269, 634, 2034, 2165, 799, 568, 630, 296, 343, 16927, 344, 8358, 273, 265, 5430, 476, 273, 15184, 267, 786, 581, 2318, 1932, 780, 2690, 519, 3791, 6221, 11196, 296, 15383, 265, 7562, 263, 273, 15184, 1070, 621, 786, 630, 17463, 264, 581, 16611, 676, 513, 2942, 267, 543, 519, 1267, 786, 581, 2318, 269, 634, 1985, 13472, 3239, 2982, 875, 547, 17589, 519, 4082, 780, 2690, 15011, 337, 779, 5858, 540, 519, 24880, 21017, 2013, 267, 519, 1871, 540, 594, 343, 685, 666, 581, 513, 8766, 1871, 950, 519, 5086, 476, 273, 15184, 335, 273, 814, 513, 25482, 540, 513, 2942, 1871, 543, 519, 20534, 1871, 568, 849, 2942, 269, 901, 5086, 568, 6027, 689, 519, 2473, 14289, 547, 7852, 966, 267, 538, 519, 29628, 4287, 269, 1759, 593, 519, 1985, 13472, 267, 1312, 2942, 2418, 616, 547, 581, 6913, 952, 519, 5086, 476, 273, 15184, 335, 273, 6818, 538, 519, 3791, 10116, 269, 5637, 519, 772, 543, 642, 17887, 616, 3254, 538, 519, 1985, 13472, 780, 2162, 1879, 594, 344, 685, 1871, 666, 581, 5021, 610, 5934, 2496, 2690, 15011, 337, 779, 5858, 540, 519, 24880, 21017, 2013, 267, 519, 1871, 585, 594, 344, 685, 666, 581, 513, 5021, 1871, 950, 519, 5086, 476, 273, 15184, 335, 273, 814, 513, 25482, 540, 513, 2942, 1871, 543, 519, 20534, 1871, 568, 849, 2942, 269, 901, 5086, 568, 6027, 689, 519, 962, 14289, 547, 772, 7852, 269, 634, 1985, 13472, 3239, 2982, 875, 547, 17589, 519, 4082, 780, 2690, 15011, 337, 779, 5858, 540, 519, 24880, 21017, 2013, 267, 519, 1871, 585, 594, 344, 685, 666, 581, 8766, 950, 519, 5086, 476, 273, 15184, 335, 272, 814, 513, 25482, 543, 849, 20534, 540, 513, 2318, 1871, 269, 901, 5086, 568, 6027, 689, 519, 962, 14289, 547, 966, 7852, 269, 634, 1985, 13472, 3239, 2982, 875, 547, 17589, 519, 4082, 780, 1103, 519, 1985, 2022, 267, 649, 786, 3136, 609, 851, 476, 273, 547, 1397, 875, 547, 2721, 15011, 337, 779, 5858, 540, 24880, 30924, 476, 274, 780, 1607, 568, 513, 3095, 547, 513, 3730, 5007, 4199, 269, 18185, 585, 9061, 8791, 267, 7136, 267, 16547, 658, 543, 21069, 9351, 28850, 540, 769, 1068, 807, 267, 30548, 8791, 3525, 15252, 780, 9928, 2651, 547, 5440, 0, 1012, 1318, 26370, 267, 2451, 26370, 1949, 585, 1114, 11282, 1949, 267, 1696, 620, 692, 296, 917, 519, 31223, 540, 519, 1535, 19985, 586, 268, 543, 1990, 268, 17887, 585, 513, 1318, 26370, 543, 513, 2451, 26370, 1062, 269, 1809, 602, 781, 585, 519, 7047, 14198, 11282, 1062, 269, 1215, 616, 519, 31223, 540, 519, 11282, 17887, 585, 824, 11282, 1949, 3989, 2496, 9827, 267, 1775, 2473, 795, 815, 737, 267, 795, 2473, 737, 815, 1775, 543, 737, 2473, 1775, 815, 795, 269, 1215, 1281, 713, 4019, 585, 519, 1770, 10321, 2059, 519, 11282, 17887, 585, 20425, 543, 20085, 11282, 1949, 2496, 4284, 7775, 326, 2593, 2257, 3377, 593, 4284, 7775, 326, 2593, 23645, 1412, 2662, 617, 18365, 527, 262, 540, 9721, 15837, 26380, 12193, 9563, 634, 7882, 1054, 781, 561, 3512, 281, 5530, 2982, 875, 17184, 1764, 17275, 14042, 2916, 1689, 9563, 4354, 6685, 9370, 30024, 24200, 2034, 4224, 3077, 454, 1280, 20425, 789, 616, 26667, 267, 26759, 835, 568, 2059, 519, 24293, 6152, 1776, 568, 17242, 547, 519, 5858, 543, 519, 3791, 568, 538, 519, 1990, 4287, 269, 6684, 585, 20085, 10974, 267, 835, 568, 2059, 519, 24293, 4287, 267, 519, 2034, 568, 8126, 1113, 547, 519, 12106, 543, 3791, 568, 849, 8126, 1113, 543, 13902, 547, 519, 2034, 563, 19850, 3655, 850, 343, 600, 269, 1548, 3335, 4523, 585, 20902, 1071, 268, 15453, 1949, 568, 602, 649, 723, 513, 7004, 689, 28070, 1949, 547, 519, 4890, 1062, 3294, 538, 519, 1106, 540, 1018, 568, 1634, 607, 21723, 11810, 269, 32150, 11810, 1106, 12885, 519, 31633, 540, 9511, 585, 2489, 1071, 268, 15453, 1949, 269, 6145, 519, 552, 16090, 22470, 1062, 649, 723, 6418, 2472, 543, 649, 723, 513, 11973, 1175, 899, 649, 798, 538, 519, 3339, 552, 16090, 22470, 1062, 269, 1284, 849, 723, 513, 1259, 547, 979, 689, 835, 1062, 547, 1776, 538, 2474, 540, 513, 6152, 1210, 606, 11346, 630, 328, 4318, 269, 1589, 540, 621, 607, 513, 5119, 264, 1141, 649, 666, 1491, 835, 6152, 543, 1287, 1205, 519, 1482, 6152, 538, 1776, 1062, 269, 898, 781, 519, 1482, 2186, 540, 3364, 16022, 569, 607, 952, 596, 723, 1535, 543, 596, 6999, 547, 4019, 535, 3287, 264, 547, 1205, 513, 1871, 896, 519, 7004, 540, 535, 269, 1403, 606, 11201, 585, 535, 6818, 596, 666, 1287, 4019, 535, 18425, 2091, 6600, 3287, 4297, 815, 1535, 547, 1205, 1394, 1535, 630, 817, 11167, 535, 11201, 6818, 585, 930, 1535, 1040, 1403, 596, 11291, 538, 5276, 7223, 267, 649, 946, 519, 2856, 540, 538, 951, 525, 547, 798, 519, 1657, 543, 711, 19599, 538, 951, 525, 2995, 721, 950, 649, 666, 798, 519, 1657, 2186, 540, 14759, 1063, 1071, 268, 15453, 1949, 780, 1012, 1318, 26370, 267, 2451, 26370, 1949, 585, 1114, 11282, 1949, 267, 1696, 620, 692, 12552, 585, 555, 30491, 269, 1809, 594, 7058, 519, 30491, 798, 711, 2626, 519, 2243, 780, 5472, 594, 993, 6998, 585, 568, 513, 4605, 540, 1318, 268, 543, 2451, 268, 19942, 1145, 585, 20425, 543, 20085, 11282, 1949, 543, 519, 3444, 2472, 540, 26667, 1770, 10321, 538, 1346, 11282, 1949, 2496, 2690, 1383, 267, 20425, 1318, 26370, 1062, 281, 678, 2798, 2476, 689, 519, 5169, 2059, 519, 27976, 7077, 267, 943, 328, 2798, 4831, 22018, 3772, 543, 1990, 2798, 20733, 269, 7790, 11631, 2496, 2690, 1383, 267, 20425, 2451, 26370, 1062, 281, 678, 2798, 2476, 689, 519, 5169, 2059, 519, 27976, 7077, 267, 943, 328, 2798, 29628, 543, 1990, 2798, 20733, 269, 7790, 11631, 2496, 2690, 1383, 267, 678, 2473, 943, 328, 815, 1990, 7790, 11631, 286, 1403, 865, 267, 1946, 2496, 296, 1810, 1405, 917, 952, 891, 616, 519, 1318, 4267, 855, 594, 993, 1175, 3843, 547, 960, 856, 713, 1826, 540, 2626, 547, 519, 1657, 2055, 780, 24511, 267, 1775, 1589, 1775, 23125, 856, 519, 2626, 269, 634, 4542, 585, 1318, 26370, 1145, 568, 1934, 281, 5291, 2517, 523, 25769, 3820, 28293, 270, 16215, 318, 557, 1862, 541, 318, 1723, 24002, 543, 519, 1770, 10321, 616, 26667, 267, 865, 519, 8912, 3652, 585, 14921, 26667, 10321, 538, 519, 3444, 1587, 4019, 780, 2372, 1774, 676, 3655, 850, 343, 600, 24511, 267, 1775, 1589, 1775, 23125, 856, 519, 2626, 269, 634, 4542, 585, 1318, 26370, 1145, 568, 1934, 281, 5291, 2517, 523, 25769, 3820, 28293, 270, 16215, 318, 557, 1862, 541, 318, 1723, 24002, 543, 519, 1770, 10321, 616, 26667, 267, 865, 519, 8912, 3652, 585, 14921, 26667, 10321, 538, 519, 3444, 1587, 4019, 563, 16100, 693, 519, 1129, 540, 519, 24572, 540, 519, 5119, 585, 922, 10066, 281, 1341, 272, 585, 2318, 20218, 543, 910, 272, 585, 11874, 20218, 269, 0, 258, 4645, 692, 14006, 539, 676, 16317, 6343, 338, 519, 8880, 3845, 14612, 676, 513, 2203, 15177, 9250, 609, 606, 703, 527, 658, 3432, 540, 476, 6344, 3952, 829, 2034, 950, 519, 15177, 568, 9250, 693, 606, 5086, 540, 476, 2568, 5232, 692, 1892, 4645, 910, 692, 19061, 850, 18289, 692, 763, 3440, 2065, 2079, 540, 513, 1788, 850, 949, 581, 16866, 676, 9256, 519, 3334, 540, 7833, 543, 18965, 5163, 540, 519, 1788, 850, 269, 6333, 513, 1788, 850, 17991, 689, 513, 7784, 609, 513, 18665, 14794, 6991, 540, 966, 538, 513, 4287, 18725, 23263, 547, 519, 8880, 269, 1284, 1631, 2307, 6000, 267, 834, 1692, 2484, 689, 519, 7784, 786, 519, 1788, 850, 5734, 519, 2666, 8119, 543, 834, 1692, 1164, 786, 519, 1788, 850, 979, 12482, 17954, 1136, 519, 6991, 909, 883, 922, 8880, 543, 7299, 3334, 2306, 835, 3364, 5612, 6654, 269, 8307, 519, 7299, 5057, 568, 1641, 547, 519, 3196, 540, 8904, 269, 16792, 519, 4082, 585, 18965, 5163, 267, 649, 666, 1265, 519, 942, 540, 8184, 543, 519, 5021, 4463, 6603, 269, 634, 7299, 5057, 540, 519, 10131, 6991, 568, 966, 341, 815, 966, 7562, 263, 382, 369, 1040, 4475, 267, 689, 966, 325, 815, 27215, 910, 575, 339, 267, 519, 942, 547, 3914, 5021, 4463, 24283, 689, 476, 271, 815, 966, 7562, 263, 382, 369, 264, 910, 575, 339, 272, 610, 966, 7562, 263, 382, 369, 264, 815, 575, 339, 272, 1818, 454, 2807, 1862, 512, 272, 815, 966, 7562, 263, 382, 369, 8358, 326, 563, 763, 4463, 6603, 1287, 24283, 689, 554, 815, 966, 7562, 263, 382, 369, 264, 339, 272, 910, 575, 339, 272, 317, 273, 270, 273, 799, 666, 581, 2854, 607, 554, 815, 575, 339, 272, 317, 273, 910, 575, 339, 272, 317, 273, 270, 273, 610, 454, 2807, 1862, 327, 815, 575, 339, 272, 317, 273, 270, 273, 563, 763, 942, 585, 519, 1788, 850, 547, 2132, 547, 519, 2666, 24283, 689, 454, 2807, 1862, 268, 327, 815, 910, 25885, 273, 317, 273, 270, 273, 269, 4595, 519, 4463, 909, 11224, 519, 4463, 1524, 267, 621, 3587, 2312, 602, 512, 272, 815, 512, 273, 1818, 519, 2698, 942, 540, 8184, 512, 815, 476, 273, 339, 272, 780, 763, 8880, 3845, 14612, 24283, 689, 546, 815, 966, 6523, 263, 382, 369, 264, 339, 815, 476, 273, 309, 339, 272, 6523, 263, 382, 369, 264, 815, 476, 273, 309, 314, 309, 7562, 263, 382, 369, 8358, 326, 316, 6523, 263, 382, 369, 264, 1818, 454, 2807, 1862, 323, 815, 966, 317, 273, 7562, 263, 273, 382, 369, 8358, 326, 563, 3086, 267, 14874, 512, 272, 689, 966, 7562, 263, 382, 369, 264, 815, 575, 339, 272, 543, 554, 815, 575, 339, 272, 317, 273, 270, 273, 267, 519, 5021, 4463, 6603, 3587, 454, 2807, 1862, 327, 815, 966, 317, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19328, 568, 513, 4182, 1634, 585, 922, 3309, 2528, 267, 6561, 267, 4984, 267, 2245, 267, 14940, 267, 3540, 5314, 543, 1082, 811, 2934, 689, 519, 3504, 2053, 269, 1809, 267, 972, 568, 513, 5256, 669, 879, 9109, 2065, 10182, 538, 3127, 269, 13834, 8635, 568, 835, 540, 519, 1292, 1514, 2152, 538, 3127, 267, 607, 513, 1267, 540, 799, 267, 2021, 616, 1373, 26793, 267, 538, 713, 5256, 26730, 3990, 2197, 269, 4340, 547, 9137, 476, 1691, 540, 519, 4095, 9139, 267, 972, 568, 513, 1318, 547, 7862, 267, 855, 723, 649, 2479, 2219, 2436, 621, 568, 1373, 4553, 610, 1316, 2213, 888, 763, 5168, 568, 267, 972, 568, 7130, 593, 519, 4493, 540, 22634, 267, 1212, 539, 267, 4984, 267, 3023, 267, 3092, 269, 772, 680, 14823, 543, 16779, 922, 2021, 1590, 581, 519, 25932, 10862, 540, 519, 4182, 269, 1809, 538, 713, 30013, 2486, 267, 2021, 616, 3808, 676, 1082, 1514, 267, 2686, 267, 543, 3909, 9184, 30139, 269, 4014, 3127, 568, 3384, 607, 513, 4182, 267, 538, 519, 1483, 2631, 267, 621, 568, 2469, 689, 21554, 547, 7452, 269, 5871, 3029, 540, 5208, 1996, 2021, 538, 3127, 1331, 6411, 971, 607, 1126, 7365, 6469, 6057, 267, 4638, 14213, 267, 543, 22149, 563, 6097, 547, 715, 10135, 289, 630, 13233, 17235, 19475, 13163, 1070, 835, 4807, 568, 986, 6244, 1169, 476, 736, 3764, 538, 3127, 269, 5272, 1554, 267, 649, 5873, 3377, 540, 22149, 267, 2021, 1373, 1305, 593, 3595, 585, 9419, 787, 267, 18275, 693, 9036, 676, 9164, 267, 552, 557, 14482, 2084, 267, 2665, 540, 4638, 14213, 676, 14077, 543, 865, 593, 543, 865, 8521, 269, 594, 9244, 4363, 602, 3025, 1058, 4585, 519, 12157, 16072, 7260, 23681, 267, 799, 28420, 4638, 14213, 676, 513, 2673, 1920, 4759, 269, 4634, 519, 1357, 3126, 9050, 2859, 1744, 1824, 7490, 9388, 609, 519, 1482, 3390, 563, 2026, 649, 917, 267, 3127, 568, 1419, 11331, 2048, 289, 9618, 520, 631, 1092, 8072, 267, 855, 798, 649, 2628, 646, 539, 547, 621, 286, 3371, 267, 2021, 616, 24565, 593, 519, 4493, 540, 741, 9660, 543, 616, 16271, 547, 3875, 1514, 543, 2686, 9184, 30139, 538, 519, 2012, 540, 4978, 269, 681, 1901, 568, 513, 1360, 1455, 12136, 538, 3127, 269, 6736, 972, 1373, 1585, 4031, 267, 11056, 543, 6388, 2611, 513, 2462, 3390, 269, 634, 15055, 540, 1133, 3534, 334, 267, 22186, 7699, 267, 543, 667, 3133, 328, 17388, 585, 5126, 543, 875, 269, 1924, 1082, 2665, 616, 711, 1256, 4080, 563, 18131, 723, 1044, 1279, 26793, 950, 621, 2501, 547, 1818, 3664, 267, 1140, 8724, 2069, 267, 543, 2324, 607, 4648, 1813, 547, 741, 2048, 26625, 2216, 685, 17071, 640, 547, 2367, 269, 5808, 5795, 24455, 519, 1318, 547, 9794, 741, 1761, 286, 6468, 723, 24491, 8393, 8329, 547, 782, 9922, 540, 519, 4346, 676, 2601, 540, 6986, 20519, 563, 1805, 641, 519, 10385, 267, 1397, 6568, 267, 543, 1577, 873, 7682, 741, 7115, 543, 2226, 741, 2463, 269, 6468, 1628, 519, 22225, 540, 938, 2486, 543, 5321, 269, 2913, 741, 3664, 581, 741, 338, 267, 543, 3247, 25412, 7496, 593, 741, 2729, 563, 18794, 803, 538, 713, 4339, 1996, 13348, 8944, 267, 786, 596, 286, 0, 1607, 2249, 814, 1044, 7396, 607, 2048, 309, 592, 1676, 762, 685, 538, 519, 594, 30002, 4414, 5903, 1317, 540, 519, 1804, 4336, 9552, 540, 6632, 28033, 4104, 2429, 922, 2039, 282, 519, 269, 2677, 18587, 543, 4930, 827, 519, 10897, 12786, 267, 23963, 1634, 607, 700, 2684, 4275, 620, 1092, 538, 519, 15610, 540, 5020, 269, 22291, 11137, 282, 16684, 12834, 282, 17392, 282, 269, 12834, 269, 5853, 538, 5375, 9341, 4000, 267, 715, 3554, 10326, 610, 700, 2684, 4275, 620, 1092, 568, 606, 5393, 1804, 3529, 3395, 2356, 827, 544, 7381, 269, 898, 814, 513, 1279, 267, 7522, 13862, 563, 347, 13775, 630, 8310, 2567, 1475, 277, 4864, 476, 1220, 279, 2008, 347, 14457, 11711, 12025, 10573, 1626, 269, 2568, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 276, 269, 5952, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 763, 3574, 814, 5140, 7344, 3601, 267, 1373, 1312, 8465, 543, 11259, 547, 19755, 543, 1360, 11259, 547, 28654, 543, 23513, 5235, 269, 14339, 757, 540, 1133, 639, 783, 12025, 269, 634, 5613, 666, 581, 1031, 547, 1118, 606, 17580, 3282, 314, 476, 4940, 9737, 519, 18682, 6229, 543, 519, 2295, 6229, 972, 568, 513, 476, 276, 1765, 1015, 4699, 5394, 4494, 540, 27139, 3574, 799, 568, 13591, 538, 7990, 269, 8479, 4054, 896, 2185, 15432, 538, 4463, 723, 3039, 880, 3766, 9445, 13626, 267, 799, 3587, 11909, 610, 1769, 6960, 607, 519, 3529, 1319, 999, 563, 22152, 778, 574, 3966, 345, 2465, 4621, 3569, 28291, 1103, 519, 12197, 18350, 16403, 1186, 299, 756, 4997, 22958, 919, 27146, 26331, 516, 4725, 10949, 25152, 1650, 32612, 5158, 32612, 5158, 4670, 27288, 31653, 16635, 563, 21132, 21052, 513, 267, 1092, 711, 4299, 676, 7408, 269, 23580, 649, 5338, 568, 2838, 547, 2057, 6735, 585, 1216, 267, 5567, 543, 1769, 267, 543, 950, 2371, 616, 1134, 3964, 267, 811, 2347, 18290, 902, 666, 581, 5645, 856, 269, 1284, 616, 4867, 21130, 713, 3296, 563, 763, 623, 11902, 293, 3883, 3333, 641, 454, 5353, 2644, 616, 6394, 689, 896, 3993, 4054, 282, 13626, 585, 16392, 5301, 568, 7363, 19122, 609, 513, 5672, 515, 974, 269, 19029, 616, 9425, 11259, 547, 3595, 607, 1279, 607, 519, 3441, 568, 3908, 547, 835, 2427, 1152, 269, 1358, 616, 849, 3144, 1996, 8459, 1928, 543, 5694, 5995, 269, 10046, 1359, 4386, 538, 2937, 4054, 609, 959, 16218, 936, 476, 2004, 1298, 22015, 637, 538, 8006, 267, 543, 3217, 1747, 689, 519, 942, 519, 1007, 3762, 2408, 563, 299, 2684, 4275, 620, 1092, 16103, 454, 2414, 2087, 2208, 538, 519, 21543, 267, 621, 568, 5227, 547, 1039, 3037, 689, 896, 606, 3964, 3529, 547, 519, 14041, 547, 2327, 1646, 540, 1250, 14585, 9071, 714, 531, 13271, 314, 476, 4940, 898, 568, 11259, 547, 7408, 543, 814, 1434, 29056, 3601, 269, 12518, 1280, 589, 8892, 723, 513, 1297, 540, 2835, 2139, 538, 1957, 3724, 543, 3059, 1106, 269, 1717, 267, 13003, 532, 7820, 2371, 568, 2009, 563, 2414, 4734, 513, 6085, 5225, 1325, 520, 336, 610, 21189, 1934, 2353, 8292, 991, 547, 581, 9516, 865, 786, 711, 2408, 5612, 269, 590, 777, 6229, 634, 2713, 267, 2571, 3574, 1063, 519, 13626, 540, 513, 3529, 543, 922, 6418, 267, 1875, 2000, 1516, 2295, 6229, 269, 10326, 5013, 18694, 1107, 700, 2684, 4275, 620, 1092, 5130, 267, 5291, 281, 8479, 2371, 4431, 1134, 547, 3355, 1769, 12094, 267, 552, 269, 634, 16025, 568, 5393, 2182, 543, 1031, 585, 16456, 13218, 326, 549, 29498, 543, 8115, 1544, 6362, 563, 299, 2684, 4275, 568, 11658, 547, 9341, 4000, 543, 13408, 476, 273, 2249, 609, 606, 3235, 10999, 3982, 3892, 281, 13340, 312, 320, 895, 324, 267, 23759, 3019, 269, 769, 8644, 4997, 543, 22096, 519, 3762, 616, 1031, 538, 519, 2126, 540, 682, 2889, 1910, 267, 543, 538, 8644, 4997, 519, 5452, 616, 3006, 1031, 13974, 563, 302, 559, 2861, 19267, 13863, 3362, 269, 3194, 593, 519, 11976, 540, 519, 2249, 543, 519, 5542, 540, 2371, 799, 616, 811, 27031, 547, 10980, 1223, 12797, 922, 24873, 593, 513, 9962, 4336, 269, 17451, 13582, 5848, 4764, 268, 10809, 693, 6173, 725, 540, 1107, 476, 272, 267, 15432, 314, 476, 4940, 634, 3574, 540, 700, 2684, 4275, 561, 766, 565, 1092, 6518, 568, 11909, 880, 609, 513, 2699, 2295, 267, 568, 2139, 538, 1454, 4130, 7516, 267, 855, 949, 723, 2147, 3096, 267, 2523, 585, 9553, 605, 1186, 267, 16749, 3207, 619, 543, 6180, 1513, 267, 607, 4492, 6229, 543, 585, 23315, 2504, 563, 288, 911, 323, 762, 4320, 540, 3776, 1007, 1433, 547, 581, 5950, 4166, 568, 3798, 1043, 1744, 16421, 269, 12005, 5491, 13017, 547, 713, 3239, 5410, 547, 16150, 1504, 1215, 596, 666, 946, 713, 3239, 269, 2290, 540, 873, 729, 4857, 607, 561, 2684, 4275, 577, 531, 322, 821, 269, 2755, 538, 2067, 4104, 2208, 666, 581, 3728, 585, 1762, 4054, 538, 2407, 7943, 267, 2208, 25815, 1524, 5612, 950, 6735, 609, 824, 2249, 4386, 563, 5629, 3819, 267, 519, 3574, 568, 1360, 18633, 538, 3028, 563, 2005, 568, 7363, 9268, 676, 4718, 532, 267, 543, 568, 711, 5078, 585, 890, 9934, 610, 14253, 532, 585, 32320, 518, 269, 8479, 4054, 896, 2185, 15432, 538, 4463, 723, 3039, 880, 3766, 9445, 13626, 267, 799, 3587, 11909, 610, 1769, 6960, 607, 519, 3529, 1319, 999, 476, 273, 563, 763, 10286, 568, 2356, 954, 6674, 539, 267, 9403, 4756, 547, 21432, 269, 5213, 700, 2684, 4275, 30550, 328, 570, 773, 724, 269, 21700, 476, 1724, 5437, 12243, 654, 6579, 291, 267, 606, 16918, 27805, 1258, 540, 2257, 27568, 267, 2115, 707, 948, 256, 898, 568, 6059, 602, 568, 3217, 1296, 585, 513, 3529, 547, 3914, 513, 4556, 628, 540, 476, 273, 269, 1879, 11091, 568, 2877, 267, 3574, 1058, 581, 10077, 1881, 5612, 1310, 4718, 532, 543, 1175, 1354, 2126, 896, 2604, 563, 1607, 2985, 729, 2063, 12995, 593, 476, 278, 5239, 520, 901, 2249, 568, 12286, 538, 281, 8109, 2699, 321, 644, 595, 2075, 529, 666, 611, 18424, 563, 1103, 519, 620, 320, 520, 2030, 7410, 616, 22274, 693, 476, 1015, 1765, 1428, 4699, 267, 543, 723, 547, 581, 6534, 547, 2407, 7943, 4166, 269, 1411, 666, 14377, 519, 1543, 540, 713, 2985, 676, 8939, 513, 1893, 538, 519, 2824, 4216, 269, 4469, 785, 619, 681, 5190, 21431, 2000, 19123, 4455, 14901, 15554, 641, 592, 3832, 12848, 269, 2776, 8619, 1903, 1058, 581, 3144, 547, 2149, 519, 1762, 2371, 607, 789, 616, 6213, 547, 3141, 1606, 5632, 323, 543, 666, 3819, 856, 3533, 563, 2005, 4386, 538, 519, 5260, 13860, 2127, 5087, 540, 519, 1858, 540, 3892, 540, 700, 2684, 4275, 620, 1092, 663, 538, 2127, 1141, 789, 2049, 2427, 676, 2427, 621, 568, 2009, 602, 519, 1079, 2249, 616, 8246, 30430, 563, 288, 345, 12786, 7044, 267, 6337, 543, 5013, 1107, 700, 2684, 4275, 620, 1092, 1923, 18206, 633, 454, 24456, 8249, 540, 23427, 4000, 4985, 269, 4014, 1455, 543, 7839, 538, 23759, 3019, 267, 1141, 621, 1036, 10273, 919, 1134, 476, 272, 476, 278, 1794, 12786, 568, 896, 3463, 538, 824, 2694, 540, 922, 2039, 607, 513, 1267, 540, 1804, 8397, 4104, 9552, 543, 936, 7721, 680, 334, 2787, 585, 922, 16025, 476, 272, 6518, 568, 2442, 585, 5230, 4070, 960, 267, 3771, 13118, 1568, 543, 16749, 3207, 619, 476, 273, 476, 274, 476, 278, 563, 2005, 814, 1804, 12765, 19843, 693, 519, 3490, 269, 898, 568, 1034, 1455, 538, 9381, 2127, 267, 1447, 865, 24654, 282, 538, 19010, 22096, 621, 4386, 689, 519, 7262, 10665, 547, 519, 3844, 16935, 540, 519, 5757, 22096, 269, 7490, 2070, 519, 10677, 3095, 585, 811, 1344, 269, 18650, 540, 3819, 3574, 547, 4323, 676, 10370, 551, 639, 543, 824, 7786, 568, 1434, 267, 4352, 6285, 547, 18682, 6229, 723, 1044, 4080, 269, 0, 8722, 25733, 538, 2776, 17469, 619, 454, 288, 840, 17469, 518, 31439, 547, 4734, 519, 6288, 267, 610, 5337, 2803, 7368, 13668, 602, 789, 2973, 909, 741, 9162, 538, 741, 4055, 267, 610, 25001, 513, 14903, 1524, 519, 24383, 1247, 6616, 789, 12582, 1406, 798, 621, 1107, 798, 1022, 540, 891, 3871, 3280, 5432, 286, 4107, 3237, 693, 835, 942, 610, 1776, 723, 9289, 281, 4208, 1281, 1250, 1126, 13789, 1732, 585, 3025, 3116, 982, 585, 803, 9495, 634, 2626, 568, 2356, 3833, 2241, 281, 5753, 786, 1449, 741, 6302, 609, 741, 3237, 1317, 789, 917, 741, 3237, 786, 2648, 873, 1100, 2339, 1018, 269, 2776, 17469, 619, 616, 1447, 8200, 593, 741, 3237, 982, 789, 941, 607, 20854, 855, 789, 616, 1869, 8200, 269, 13281, 6302, 568, 875, 20854, 7682, 2933, 563, 32325, 540, 2598, 23002, 454, 7093, 17469, 619, 723, 6793, 9163, 982, 950, 789, 941, 20854, 543, 891, 9163, 616, 1869, 3384, 269, 1635, 7682, 532, 2933, 267, 789, 616, 1565, 875, 547, 4308, 609, 741, 5054, 269, 901, 1281, 711, 1611, 602, 3237, 1058, 711, 1491, 3268, 547, 948, 741, 840, 17469, 619, 1451, 6302, 563, 272, 269, 19372, 7622, 3652, 543, 10956, 873, 2394, 707, 840, 17469, 518, 666, 1246, 873, 593, 1010, 610, 1200, 1378, 269, 898, 1522, 1256, 581, 513, 1434, 2856, 547, 2328, 519, 1271, 3652, 1524, 593, 513, 4062, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3578, 2274, 13273, 10290, 257, 630, 6245, 277, 264, 12286, 2549, 880, 3197, 30326, 282, 2705, 267, 621, 7012, 1405, 2394, 519, 4571, 2389, 342, 12351, 2540, 950, 5830, 899, 30094, 569, 11066, 3459, 13629, 2984, 1305, 5097, 1369, 2549, 880, 5468, 602, 2442, 1719, 5963, 3576, 1055, 269, 4653, 267, 2549, 880, 5708, 13315, 1585, 24848, 637, 1519, 15832, 267, 9814, 267, 3140, 5708, 267, 543, 9811, 267, 1256, 4278, 14525, 780, 7656, 269, 20223, 2549, 880, 21434, 774, 18115, 619, 692, 4263, 922, 4295, 267, 2549, 880, 11509, 26497, 619, 9192, 2609, 540, 1312, 15832, 543, 24457, 6386, 1369, 606, 12799, 4168, 5943, 269, 1452, 8941, 1419, 4125, 10470, 4721, 1063, 1762, 2549, 880, 2043, 945, 3068, 5007, 6937, 610, 7526, 602, 4161, 741, 4978, 543, 3347, 269, 2755, 2757, 2549, 880, 32741, 11168, 5289, 2208, 543, 2146, 7554, 267, 2549, 880, 11509, 26497, 619, 4463, 523, 8082, 998, 5906, 3871, 8506, 2656, 3206, 543, 22838, 689, 23233, 269, 6736, 891, 3773, 12503, 267, 519, 10700, 3804, 3788, 16135, 538, 3695, 4798, 540, 19807, 267, 25863, 267, 543, 26772, 5132, 780, 4353, 269, 6206, 15689, 540, 2549, 880, 21434, 774, 18115, 619, 692, 15703, 1898, 3334, 21656, 2500, 2549, 880, 11509, 26497, 619, 1384, 288, 269, 17553, 1107, 24956, 545, 26007, 540, 2549, 880, 1272, 1106, 519, 20457, 1996, 799, 13602, 11200, 269, 6762, 11673, 540, 6917, 8916, 267, 1920, 6384, 267, 543, 3232, 13467, 948, 23365, 3988, 538, 519, 1650, 16447, 780, 289, 269, 16992, 1107, 4039, 23534, 2943, 30096, 12325, 543, 5869, 1149, 6330, 2591, 7915, 538, 13326, 2123, 13821, 609, 18497, 6788, 269, 4165, 6782, 2065, 4229, 1522, 22132, 689, 3330, 610, 3544, 519, 2146, 267, 4946, 6106, 540, 6988, 780, 290, 269, 18366, 1107, 4400, 30367, 8451, 950, 8594, 27938, 2901, 1367, 3106, 610, 7104, 10103, 269, 6270, 4220, 3196, 3197, 547, 13720, 12194, 543, 16426, 267, 6038, 5807, 6043, 543, 4514, 4296, 780, 291, 269, 20154, 640, 1107, 10801, 8062, 267, 10143, 6304, 5713, 607, 513, 2707, 540, 4313, 543, 5583, 269, 27302, 267, 27403, 2542, 267, 543, 16126, 593, 2696, 1831, 2629, 12003, 6127, 1282, 7334, 2053, 780, 309, 269, 31838, 6201, 540, 2549, 880, 21434, 774, 18115, 619, 692, 5278, 8037, 1806, 540, 2549, 880, 11509, 26497, 619, 1331, 1384, 288, 269, 834, 763, 19554, 7433, 257, 676, 24981, 808, 269, 6153, 1107, 1879, 513, 12357, 10189, 21128, 693, 1200, 3484, 267, 21877, 16047, 344, 9060, 9887, 1303, 22931, 538, 513, 1357, 540, 13587, 527, 5473, 21687, 14951, 543, 6456, 9163, 269, 2060, 519, 5351, 540, 2199, 19792, 19279, 16019, 267, 1352, 4044, 919, 30217, 748, 14099, 1247, 14304, 1200, 1378, 5132, 2059, 519, 1259, 780, 289, 269, 834, 5522, 664, 623, 2720, 3726, 257, 676, 32264, 2701, 23311, 22630, 1107, 5590, 538, 519, 21987, 540, 513, 13249, 3595, 267, 713, 3209, 5205, 10370, 29953, 3751, 607, 1352, 11394, 24176, 538, 1200, 11078, 781, 2549, 880, 2146, 1152, 547, 3605, 11580, 30443, 6362, 9944, 922, 12560, 1795, 1228, 269, 19484, 16012, 17052, 543, 1761, 15832, 3587, 5051, 7294, 950, 2576, 9072, 2818, 540, 519, 5939, 780, 9654, 269, 10390, 692, 18698, 519, 28622, 540, 5132, 267, 2648, 267, 543, 24457, 3091, 3407, 4030, 883, 1480, 2470, 543, 938, 17916, 7287, 585, 4276, 8015, 14488, 269, 3414, 2549, 880, 11509, 26497, 619, 267, 3988, 4497, 609, 8903, 6386, 602, 16637, 2686, 6302, 543, 7618, 721, 540, 8471, 18408, 3823, 10100, 267, 8296, 267, 543, 2699, 3319, 633, 1379, 269, 1635, 6313, 713, 4241, 24848, 516, 5702, 267, 649, 1732, 10146, 875, 3332, 3252, 607, 513, 11604, 10452, 6848, 4145, 543, 17050, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2479, 1413, 883, 4168, 5708, 2835, 543, 4589, 267, 972, 616, 1883, 4408, 602, 2693, 1402, 909, 281, 595, 269, 590, 269, 11066, 267, 8071, 710, 23117, 267, 543, 7671, 28828, 26152, 267, 616, 1175, 513, 1906, 540, 519, 3811, 4408, 596, 3580, 1265, 563, 3719, 596, 849, 949, 2307, 2055, 971, 607, 281, 1772, 972, 1022, 1434, 4168, 5708, 286, 5808, 568, 519, 1655, 4168, 24457, 2278, 286, 1548, 568, 519, 1034, 4421, 4168, 1433, 540, 782, 942, 888, 1103, 713, 2376, 267, 596, 1451, 519, 4267, 547, 1142, 540, 891, 2055, 269, 769, 1840, 267, 594, 1683, 1344, 827, 4168, 5708, 2835, 543, 4589, 543, 741, 1034, 7986, 1568, 563, 22146, 11470, 7734, 1656, 22439, 281, 1548, 1411, 3580, 6258, 454, 9596, 3245, 8871, 5799, 22439, 454, 3080, 540, 519, 1883, 4128, 547, 1451, 827, 4168, 5708, 2835, 543, 4589, 568, 865, 596, 666, 24559, 3054, 609, 1018, 23619, 1134, 547, 713, 1880, 2344, 269, 4168, 5708, 4589, 3382, 513, 2647, 2039, 540, 1433, 11964, 269, 5221, 540, 713, 267, 594, 1865, 606, 3573, 1592, 540, 519, 1655, 4168, 5708, 2835, 543, 4589, 4586, 8266, 2986, 476, 2420, 4168, 11470, 7734, 1656, 22439, 454, 4407, 621, 779, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8649, 880, 21434, 774, 18115, 619, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 23620, 1315, 12246, 335, 1619, 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, 4985, 1384, 1103, 2221, 781, 3059, 2085, 267, 1514, 2923, 814, 1831, 606, 7533, 851, 540, 1762, 1004, 781, 2729, 267, 5935, 741, 3347, 267, 1582, 12656, 4003, 267, 543, 2949, 8171, 269, 2755, 972, 568, 3908, 4081, 1382, 6313, 519, 1764, 540, 1514, 2923, 593, 6107, 267, 6932, 2963, 5267, 602, 7050, 946, 540, 891, 5867, 666, 1291, 547, 1585, 2790, 543, 3929, 1072, 2152, 269, 5047, 267, 9263, 2604, 543, 1514, 6476, 616, 1079, 1713, 2188, 7700, 547, 713, 7613, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1950, 2078, 1063, 1920, 6384, 267, 9263, 3310, 267, 543, 1514, 2923, 6165, 1851, 10708, 780, 4089, 594, 281, 634, 10020, 540, 7731, 538, 1744, 12686, 32183, 10263, 692, 23991, 4249, 513, 2565, 1909, 538, 27724, 15730, 2623, 543, 8456, 2509, 2029, 269, 9977, 531, 9525, 267, 2792, 3270, 267, 543, 3652, 3823, 5496, 942, 3648, 1860, 875, 1762, 2043, 4497, 609, 1514, 2923, 269, 3194, 6920, 602, 950, 3237, 3715, 1930, 3515, 540, 2792, 267, 1683, 5583, 267, 543, 1305, 6302, 1472, 5907, 3926, 6165, 267, 10708, 6542, 1732, 3375, 6194, 1983, 543, 6043, 1996, 2228, 4220, 269, 17957, 267, 15366, 10714, 610, 7989, 1170, 4369, 666, 3565, 547, 16609, 5615, 971, 607, 30378, 267, 694, 868, 532, 267, 543, 7050, 4687, 540, 2123, 1344, 269, 4475, 267, 3885, 1590, 581, 14942, 538, 2870, 2635, 3059, 5054, 543, 5807, 3743, 6639, 6208, 1369, 741, 10820, 780, 4089, 4083, 281, 4197, 25398, 16242, 543, 4706, 20480, 585, 8479, 4658, 692, 8248, 518, 2604, 4016, 547, 519, 3310, 25116, 676, 9905, 593, 606, 1367, 781, 4555, 267, 4606, 267, 543, 3527, 269, 898, 1419, 28107, 998, 29077, 267, 10220, 267, 610, 8446, 609, 1895, 8155, 543, 6788, 269, 769, 519, 2796, 540, 1514, 2923, 267, 9263, 2604, 666, 1491, 1896, 3029, 267, 1519, 1384, 272, 269, 2561, 30970, 2861, 16198, 281, 8479, 1004, 4749, 5635, 2933, 547, 741, 9905, 1759, 593, 2168, 4482, 4369, 267, 7802, 6163, 267, 543, 1570, 22590, 267, 3056, 547, 27025, 8351, 609, 741, 4703, 543, 1970, 1582, 12635, 563, 273, 269, 6732, 23930, 281, 20390, 30105, 1522, 1745, 25997, 547, 2671, 15982, 3877, 610, 6213, 1344, 827, 2933, 1813, 547, 9228, 6848, 12503, 610, 4250, 540, 17181, 563, 274, 269, 15536, 24830, 281, 7861, 574, 1436, 676, 9905, 998, 5739, 6835, 267, 32422, 267, 610, 1857, 1208, 559, 2747, 666, 1267, 538, 4049, 5626, 11605, 543, 10072, 780, 8139, 519, 16082, 540, 9263, 2604, 6087, 3237, 267, 7855, 267, 543, 14519, 547, 1374, 7459, 6322, 693, 5009, 2318, 2228, 4205, 543, 10893, 8801, 4093, 2404, 609, 1514, 2923, 6165, 780, 4089, 8633, 281, 19484, 4317, 9012, 21478, 692, 12892, 2923, 4623, 6203, 29937, 9645, 1379, 936, 1762, 3755, 267, 5935, 741, 7375, 267, 2418, 267, 543, 11994, 540, 4641, 269, 1452, 5691, 28245, 1419, 3895, 32601, 5898, 4441, 267, 7082, 1143, 267, 543, 19408, 5615, 267, 799, 666, 11874, 1764, 10708, 262, 1582, 268, 13548, 543, 2790, 1072, 269, 1306, 25330, 543, 23003, 267, 621, 568, 2629, 547, 4001, 2565, 3206, 1983, 543, 5000, 25949, 2509, 6994, 2213, 2472, 610, 19824, 31045, 676, 4623, 6203, 269, 1635, 16779, 1762, 2043, 547, 2243, 519, 13597, 540, 26940, 2228, 1268, 553, 267, 649, 6536, 30840, 1996, 5007, 7506, 543, 11349, 513, 811, 7059, 1935, 2509, 1514, 2923, 4616, 780, 6962, 1384, 2026, 2486, 12066, 956, 609, 519, 4539, 540, 2799, 1514, 2923, 4598, 1851, 1762, 1004, 267, 621, 3587, 1898, 547, 4983, 519, 6946, 4296, 1063, 1920, 6384, 267, 9263, 2604, 267, 543, 3059, 6278, 269, 3414, 5483, 5188, 267, 2069, 267, 543, 3609, 6388, 267, 649, 666, 11574, 519, 2942, 2360, 540, 891, 5867, 1247, 19713, 741, 1761, 2640, 269, 11086, 267, 30015, 10708, 609, 519, 2556, 2645, 547, 6330, 519, 2479, 21608, 5251, 540, 1514, 2923, 786, 5512, 873, 547, 1628, 16180, 3347, 1312, 2228, 543, 22356, 267, 6038, 7393, 741, 2949, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6078, 269, 8253, 5976, 9227, 519, 2798, 1500, 538, 3848, 476, 273, 827, 519, 1699, 7687, 540, 519, 2963, 3490, 267, 621, 568, 1271, 547, 2566, 602, 519, 9000, 540, 1434, 4081, 2963, 568, 711, 24568, 3294, 1765, 5271, 2064, 602, 1514, 2923, 814, 1100, 1198, 593, 1762, 1004, 269, 4438, 938, 14374, 267, 621, 814, 1831, 5051, 2312, 547, 721, 602, 519, 1761, 6402, 1063, 1514, 2923, 267, 13819, 543, 519, 8171, 540, 1762, 1004, 568, 606, 1858, 540, 6161, 585, 3237, 267, 1416, 3464, 267, 3610, 267, 543, 1453, 7567, 563, 5655, 7868, 5354, 540, 519, 2963, 649, 4607, 5059, 593, 519, 2640, 543, 28746, 547, 519, 1072, 540, 1762, 1004, 540, 1210, 1514, 2923, 5867, 269, 901, 3848, 5036, 856, 602, 2963, 269, 1284, 849, 5031, 930, 2127, 267, 2705, 267, 602, 1247, 711, 2047, 1072, 5829, 267, 949, 18562, 723, 6286, 585, 519, 1072, 543, 8171, 540, 1762, 1004, 563, 6246, 8160, 1276, 540, 519, 2923, 3007, 4478, 1514, 2923, 814, 5059, 593, 922, 2942, 5222, 267, 3226, 593, 1762, 1004, 269, 769, 519, 31232, 779, 19510, 585, 4139, 9906, 10495, 630, 303, 26721, 264, 1134, 2041, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 25398, 16242, 1315, 4317, 9012, 21478, 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, 594, 2760, 2219, 602, 3627, 5500, 22418, 781, 834, 296, 12532, 519, 7412, 257, 1131, 723, 971, 513, 7096, 1764, 593, 1250, 1272, 2394, 513, 1906, 1296, 3516, 269, 2311, 519, 942, 267, 594, 1185, 5063, 4362, 513, 13395, 1719, 538, 10655, 4686, 24064, 2643, 5638, 267, 799, 3366, 803, 1524, 513, 15529, 8559, 540, 12423, 14758, 8153, 21889, 689, 19416, 5159, 269, 2290, 1554, 267, 1247, 19855, 998, 513, 21305, 2594, 4558, 267, 594, 16686, 2390, 606, 3312, 10296, 540, 834, 296, 12532, 519, 7412, 1701, 2271, 29098, 676, 922, 3140, 4644, 267, 594, 4956, 547, 6718, 621, 543, 2285, 621, 513, 6432, 780, 2026, 4166, 607, 594, 12628, 519, 13549, 5196, 519, 2594, 267, 594, 729, 5612, 26970, 676, 22418, 781, 2620, 267, 20807, 532, 4938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 264, 769, 3871, 1141, 519, 13570, 568, 547, 581, 1152, 14356, 4904, 519, 6967, 13570, 1058, 581, 513, 5934, 540, 476, 2412, 7825, 2647, 563, 21980, 766, 593, 13471, 1058, 581, 5833, 689, 14502, 30334, 11657, 700, 799, 666, 581, 1336, 538, 519, 8490, 22769, 21976, 8791, 540, 713, 813, 563, 5141, 32061, 910, 24498, 654, 8712, 543, 10162, 1993, 338, 454, 2750, 4156, 6821, 543, 22908, 1058, 581, 865, 9112, 547, 2327, 602, 789, 786, 711, 581, 8697, 676, 4764, 610, 6777, 267, 786, 3247, 519, 8574, 540, 4764, 610, 6777, 883, 519, 2679, 543, 786, 2149, 1022, 2609, 602, 949, 581, 8697, 676, 4764, 610, 6777, 563, 2467, 616, 1082, 1114, 2326, 602, 666, 581, 1031, 547, 804, 611, 513, 2679, 930, 540, 799, 723, 1044, 7396, 2630, 912, 3412, 704, 2365, 1107, 14087, 2365, 804, 32061, 2326, 1331, 4496, 267, 4837, 267, 5068, 610, 3787, 6058, 748, 2326, 563, 2171, 1430, 1763, 12371, 1107, 16661, 5706, 532, 804, 32061, 2326, 1331, 9160, 2861, 2472, 267, 2067, 6149, 610, 1793, 622, 267, 17991, 10036, 543, 3574, 563, 27770, 626, 675, 1763, 12371, 1107, 7720, 626, 675, 5706, 532, 804, 32061, 2326, 1331, 3787, 6058, 748, 543, 5068, 2472, 799, 1058, 581, 561, 11474, 952, 789, 616, 547, 581, 1031, 607, 513, 6656, 532, 1570, 563, 2467, 616, 1079, 2081, 538, 799, 804, 32061, 666, 2061, 519, 8574, 540, 4764, 610, 6777, 883, 519, 2679, 267, 2901, 676, 16069, 621, 693, 519, 3068, 540, 519, 804, 32061, 630, 574, 704, 2365, 804, 32061, 264, 610, 676, 16069, 519, 8574, 540, 7509, 693, 519, 1394, 540, 519, 804, 32061, 630, 2171, 1430, 5706, 532, 804, 32061, 20483, 676, 513, 7509, 5706, 532, 4494, 1916, 13312, 8183, 31125, 1428, 910, 1849, 32061, 910, 6821, 543, 22908, 910, 6987, 847, 689, 570, 31270, 595, 454, 2005, 568, 1271, 547, 2327, 602, 519, 16538, 540, 519, 2679, 568, 9290, 2406, 4365, 11259, 269, 1849, 32061, 666, 581, 2808, 5078, 585, 946, 607, 851, 540, 606, 5007, 3774, 610, 8122, 952, 912, 272, 264, 898, 568, 6650, 2365, 547, 7509, 543, 568, 2901, 4745, 1652, 610, 814, 20177, 10549, 563, 273, 264, 634, 804, 32061, 568, 2901, 6650, 2365, 547, 7509, 610, 568, 4365, 5706, 532, 543, 20483, 676, 513, 1570, 602, 786, 3247, 519, 8574, 540, 4764, 610, 6777, 543, 786, 1463, 621, 2509, 519, 3544, 3068, 540, 519, 2679, 543, 568, 8704, 609, 20718, 3819, 10549, 563, 2005, 568, 1271, 547, 2327, 602, 1141, 513, 804, 32061, 568, 1373, 1031, 621, 568, 540, 513, 5078, 1570, 602, 786, 711, 6385, 14016, 622, 563, 4462, 1652, 972, 568, 513, 5887, 23624, 2230, 1373, 3177, 3297, 519, 804, 32061, 621, 1058, 581, 15449, 762, 547, 1216, 11517, 269, 13129, 1058, 581, 1500, 547, 14502, 30334, 11657, 645, 547, 3313, 2436, 13570, 7496, 543, 5924, 3595, 16069, 568, 2838, 1141, 513, 13570, 568, 547, 581, 3177, 3297, 519, 804, 32061, 563, 8489, 519, 804, 32061, 568, 4745, 1652, 610, 1141, 20177, 10549, 616, 547, 581, 1031, 972, 1058, 581, 5078, 1450, 1734, 1500, 585, 1312, 7293, 543, 8143, 3350, 563, 19675, 3819, 10549, 581, 1031, 789, 1058, 581, 865, 2966, 547, 2327, 602, 4764, 543, 6777, 786, 711, 1780, 998, 873, 269, 17968, 267, 519, 10549, 1058, 581, 2966, 547, 2327, 602, 1022, 4764, 610, 6777, 602, 1281, 1780, 998, 519, 10549, 568, 9859, 547, 519, 4395, 3068, 540, 519, 804, 32061, 543, 786, 711, 23309, 519, 1394, 4494, 540, 519, 804, 32061, 269, 634, 3375, 593, 2436, 3819, 10549, 616, 5078, 1058, 581, 1500, 676, 513, 5078, 8036, 270, 23974, 1881, 1268, 945, 666, 1118, 519, 8990, 1759, 593, 519, 804, 32061, 547, 581, 1031, 267, 519, 1374, 540, 519, 4745, 543, 519, 10335, 540, 519, 2175, 538, 799, 519, 804, 32061, 786, 581, 4092, 563, 5472, 2609, 540, 804, 32061, 1058, 581, 18172, 6378, 538, 1747, 607, 829, 519, 9755, 20487, 543, 1022, 824, 4143, 3044, 610, 3009, 269, 0, 4322, 2395, 267, 621, 568, 2182, 547, 1265, 4896, 19163, 609, 513, 2786, 3068, 602, 519, 6052, 25943, 15521, 630, 17614, 264, 814, 1044, 513, 1434, 3364, 585, 519, 2916, 269, 898, 568, 1585, 569, 4330, 607, 513, 968, 516, 997, 5608, 513, 968, 323, 8812, 1648, 8630, 892, 610, 513, 968, 30873, 4155, 23026, 892, 538, 519, 3028, 540, 6067, 9037, 3549, 269, 1717, 267, 1346, 1482, 9739, 1232, 11538, 621, 723, 1631, 1044, 2322, 538, 519, 26101, 2990, 540, 2348, 547, 9718, 621, 267, 543, 616, 581, 21794, 2477, 899, 5333, 267, 8050, 267, 12996, 267, 7977, 543, 519, 13814, 547, 9258, 741, 15639, 3664, 563, 763, 14097, 729, 25282, 538, 519, 2038, 476, 1960, 271, 338, 693, 519, 1439, 540, 519, 12019, 2782, 547, 2285, 9520, 6015, 538, 519, 1007, 1629, 31097, 538, 9456, 2342, 267, 4171, 3105, 19797, 6608, 1185, 513, 4356, 540, 10393, 3084, 2358, 6080, 610, 23545, 532, 3785, 269, 634, 14097, 16877, 9520, 547, 16637, 6469, 10470, 543, 647, 324, 741, 3984, 6082, 585, 3609, 2242, 602, 21279, 741, 9541, 3842, 2027, 3486, 5513, 684, 1023, 269, 1717, 267, 621, 814, 2849, 335, 1117, 883, 1945, 2484, 3564, 922, 3312, 9837, 267, 543, 568, 1631, 1373, 1031, 676, 3549, 547, 647, 324, 519, 476, 7367, 4759, 6608, 585, 1648, 3609, 2242, 602, 723, 1044, 3144, 585, 2916, 4128, 563, 763, 14097, 814, 1831, 519, 1034, 268, 4310, 14097, 538, 20090, 15581, 15539, 11175, 630, 3041, 9169, 1070, 3056, 547, 2594, 31771, 17758, 540, 14796, 602, 723, 1942, 6608, 6634, 540, 9489, 267, 2687, 547, 519, 4139, 4659, 585, 12655, 4886, 269, 2290, 8037, 1383, 814, 1044, 519, 13814, 1373, 647, 539, 676, 1648, 3549, 681, 25446, 543, 1133, 23803, 896, 519, 661, 6311, 936, 922, 4566, 547, 1491, 5755, 1379, 2371, 22356, 269, 13751, 6811, 676, 3282, 543, 3154, 9520, 1996, 2829, 25412, 4031, 547, 3970, 8093, 4492, 2238, 1223, 3914, 513, 2698, 1942, 540, 1269, 22430, 16818, 585, 6608, 1107, 811, 982, 519, 1269, 25834, 16818, 6170, 11451, 593, 1857, 2916, 8804, 538, 476, 1708, 271, 1107, 2687, 547, 1382, 3370, 538, 519, 4760, 3163, 538, 2904, 476, 1708, 273, 269, 1937, 572, 982, 519, 4890, 4031, 7057, 568, 519, 865, 10777, 968, 2958, 17419, 28306, 5608, 1141, 6608, 1394, 1055, 943, 2084, 856, 8093, 10173, 1317, 789, 616, 12922, 540, 1373, 647, 539, 563, 11693, 782, 540, 602, 267, 621, 1522, 3100, 602, 17444, 856, 540, 519, 14097, 568, 606, 2653, 3375, 585, 6608, 1107, 855, 972, 568, 513, 6952, 281, 1256, 1310, 513, 2197, 27605, 856, 267, 621, 568, 1641, 547, 1373, 647, 539, 896, 519, 14097, 585, 513, 2417, 476, 736, 1296, 269, 898, 949, 3100, 899, 561, 684, 2329, 1631, 267, 855, 950, 621, 729, 25282, 538, 519, 476, 1960, 271, 338, 621, 729, 2219, 713, 729, 519, 1152, 1259, 547, 2327, 2477, 1131, 711, 7485, 856, 1175, 865, 789, 1131, 711, 1205, 647, 539, 585, 4657, 3664, 593, 2101, 9541, 563, 2690, 713, 2601, 267, 519, 3864, 8189, 814, 1767, 621, 1131, 581, 1454, 811, 16268, 547, 6963, 519, 14097, 982, 1439, 621, 269, 898, 814, 7722, 538, 3275, 540, 16395, 547, 2413, 1047, 621, 267, 543, 6368, 6603, 606, 6876, 609, 519, 824, 6105, 713, 4832, 17929, 9167, 2477, 1131, 1205, 606, 608, 18277, 547, 519, 3339, 3652, 543, 581, 4847, 547, 5123, 856, 8093, 4492, 9541, 936, 519, 1985, 4557, 1296, 267, 543, 1310, 476, 10711, 274, 789, 1223, 1100, 3476, 581, 647, 539, 269, 2334, 1267, 729, 2484, 1447, 982, 1018, 1185, 1044, 6322, 585, 269, 589, 1895, 540, 2477, 3366, 676, 3567, 18979, 569, 5706, 539, 2242, 602, 1131, 723, 13104, 539, 5092, 3664, 1500, 585, 2916, 4128, 269, 8693, 5859, 2516, 723, 16363, 519, 6963, 16395, 513, 5821, 543, 616, 10912, 585, 2477, 547, 2759, 543, 2196, 563, 17606, 568, 796, 29207, 15344, 519, 9167, 8815, 547, 9376, 538, 8093, 4027, 585, 693, 2547, 1776, 8717, 2223, 3081, 12397, 20782, 8575, 541, 7615, 267, 4123, 543, 5092, 3609, 4274, 693, 519, 15726, 302, 8693, 11059, 8416, 2342, 269, 968, 1607, 1797, 2477, 786, 3136, 547, 6108, 27710, 16558, 685, 2724, 538, 9104, 908, 8093, 4492, 3549, 2864, 982, 8165, 2916, 1689, 543, 3001, 547, 513, 7791, 1648, 1062, 269, 22685, 1154, 519, 6963, 1131, 849, 2097, 609, 513, 22672, 1652, 7269, 540, 519, 14097, 547, 7250, 267, 13947, 543, 824, 1648, 2326, 267, 20392, 721, 547, 1256, 3152, 4220, 540, 4608, 11474, 13180, 6811, 538, 2104, 3034, 4913, 267, 519, 8189, 568, 9963, 602, 9363, 538, 519, 6963, 539, 14097, 568, 513, 1732, 4781, 982, 6028, 621, 267, 2094, 519, 2048, 15711, 3553, 16083, 685, 8952, 2477, 25964, 585, 476, 736, 1296, 952, 789, 4734, 267, 1247, 519, 6963, 2306, 873, 25964, 585, 3368, 602, 942, 952, 789, 3251, 269, 634, 8189, 5143, 29761, 2923, 602, 782, 9167, 2477, 31045, 519, 6364, 540, 519, 6963, 16395, 538, 4873, 267, 543, 519, 9167, 10324, 5526, 547, 723, 1044, 9575, 1055, 9856, 676, 519, 6727, 608, 21402, 602, 814, 3144, 1747, 936, 519, 2063, 1079, 4374, 267, 609, 5333, 267, 8050, 267, 12996, 543, 519, 13814, 782, 3045, 23395, 741, 9837, 547, 4734, 269, 5125, 543, 19934, 723, 1767, 789, 616, 6236, 621, 563, 14071, 616, 2565, 540, 519, 1267, 6913, 593, 513, 1297, 540, 2798, 2223, 1767, 10656, 1648, 543, 2916, 3609, 14012, 7605, 32591, 1084, 950, 3045, 23395, 519, 2197, 779, 15639, 593, 476, 1240, 5239, 269, 968, 763, 14097, 5170, 547, 2709, 1932, 1454, 4027, 547, 519, 8093, 4492, 2872, 3034, 30538, 541, 7615, 13187, 972, 568, 1776, 1259, 547, 1205, 856, 540, 519, 23863, 16083, 1107, 2477, 666, 11198, 24973, 543, 9959, 513, 5094, 6876, 267, 538, 799, 789, 23868, 4959, 9169, 2665, 1851, 835, 1776, 269, 968, 1103, 1880, 267, 952, 8045, 538, 513, 1804, 1895, 540, 2477, 267, 713, 3070, 1797, 602, 4540, 8093, 9541, 1131, 24044, 547, 581, 6870, 5612, 267, 2864, 982, 3136, 547, 2972, 713, 4027, 585, 4557, 610, 811, 1296, 3034, 24685, 1022, 2013, 267, 513, 2527, 3802, 719, 689, 519, 661, 6311, 568, 2693, 547, 9594, 513, 4901, 827, 2165, 3215, 519, 6876, 15587, 2223, 1352, 8591, 269, 2060, 1100, 14097, 267, 972, 666, 581, 1100, 4031, 7057, 563, 6826, 16442, 519, 10207, 267, 519, 8189, 568, 5418, 8172, 609, 9167, 4759, 2829, 602, 723, 9307, 741, 9837, 547, 4734, 547, 693, 2547, 3251, 543, 3731, 1518, 519, 15024, 1101, 693, 519, 1985, 5870, 540, 519, 476, 7367, 4759, 2477, 538, 31322, 593, 476, 2420, 5437, 269, 834, 2252, 676, 5437, 267, 649, 1810, 1405, 9772, 519, 2413, 5314, 267, 519, 1267, 568, 3274, 519, 4567, 28943, 2437, 513, 8189, 4013, 5143, 519, 3864, 12057, 2063, 3018, 269, 1280, 602, 789, 941, 1025, 16556, 676, 631, 7968, 338, 689, 519, 2451, 269, 834, 2750, 1746, 713, 28572, 14097, 568, 519, 1152, 1259, 2223, 1767, 5053, 631, 7968, 590, 4275, 3204, 334, 269, 968, 2171, 991, 547, 581, 856, 865, 602, 2804, 4690, 3247, 25412, 741, 16786, 593, 513, 4541, 602, 3112, 16641, 519, 3586, 14226, 540, 922, 2200, 267, 14226, 602, 1152, 24395, 919, 519, 10357, 1606, 3469, 6433, 4799, 20458, 5859, 619, 616, 10912, 585, 519, 29655, 2477, 547, 3251, 585, 519, 8917, 855, 547, 31111, 1996, 519, 8189, 779, 5528, 543, 8917, 1100, 269, 968, 763, 3375, 540, 8050, 267, 12996, 267, 5333, 543, 519, 13814, 547, 4734, 519, 6052, 25943, 15521, 568, 1434, 3377, 855, 621, 4465, 1405, 581, 2614, 2223, 3081, 6754, 632, 1849, 518, 1188, 267, 4123, 5859, 518, 693, 14886, 540, 519, 3047, 2342, 269, 968, 4322, 2477, 1631, 991, 547, 8917, 1524, 519, 6963, 11556, 538, 519, 14232, 9167, 7027, 5870, 543, 693, 519, 6052, 25943, 15521, 10985, 538, 5437, 547, 2327, 513, 20291, 15639, 540, 519, 9167, 543, 782, 922, 4759, 2829, 1848, 8307, 513, 2527, 14827, 676, 9167, 2477, 267, 646, 29808, 267, 666, 6146, 519, 14097, 585, 1434, 269, 966, 7627, 585, 519, 6963, 4220, 4758, 621, 26117, 543, 10804, 532, 922, 6228, 547, 3136, 3257, 2800, 1134, 883, 519, 2104, 563, 294, 4261, 906, 786, 723, 513, 1297, 540, 3664, 547, 1491, 936, 519, 1985, 476, 736, 2395, 269, 3689, 267, 1058, 789, 3251, 610, 1058, 789, 979, 286, 1656, 2034, 267, 1058, 789, 3398, 610, 7947, 519, 8189, 779, 7858, 7007, 15024, 286, 4014, 713, 814, 1044, 2679, 607, 606, 3390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3006, 2196, 4255, 547, 4137, 856, 1018, 781, 4636, 269, 589, 2489, 1072, 18673, 849, 2708, 525, 2550, 676, 11287, 741, 2623, 267, 6998, 2055, 267, 543, 1210, 1585, 2645, 547, 2268, 4664, 267, 4555, 267, 543, 3527, 269, 1452, 10526, 1450, 873, 547, 2697, 1022, 2152, 7133, 513, 3461, 781, 2790, 610, 2168, 1072, 865, 789, 666, 1683, 3617, 948, 563, 274, 269, 27800, 281, 2991, 7114, 2042, 1282, 606, 4879, 267, 2489, 1072, 16895, 1711, 7459, 1107, 4566, 610, 2994, 2966, 547, 2232, 1346, 2152, 269, 1323, 6304, 949, 4125, 3450, 11005, 2553, 547, 2569, 2566, 267, 4543, 2576, 1689, 14432, 6208, 267, 610, 3246, 1489, 1282, 2352, 2053, 269, 3414, 891, 7459, 267, 2489, 1072, 16895, 2832, 547, 3986, 2550, 262, 2298, 540, 1272, 543, 3565, 547, 5355, 1857, 1072, 780, 3086, 602, 596, 917, 1018, 2489, 1072, 16895, 798, 1577, 781, 2263, 1141, 789, 960, 543, 875, 789, 1831, 4648, 269, 3509, 2489, 1072, 16895, 960, 538, 10506, 267, 19190, 267, 610, 824, 3782, 5468, 269, 2368, 1256, 12840, 609, 3506, 267, 18758, 3906, 267, 610, 2229, 8041, 269, 3143, 2339, 1141, 789, 960, 267, 789, 2356, 6108, 942, 15025, 609, 2550, 267, 10647, 1382, 267, 11504, 11401, 267, 543, 3384, 1007, 7459, 780, 2414, 1831, 513, 2489, 1072, 18673, 267, 835, 1590, 1101, 7118, 513, 2852, 4110, 538, 6530, 610, 513, 1644, 2361, 269, 3973, 267, 789, 3136, 741, 2069, 676, 11264, 513, 4487, 781, 1982, 267, 899, 519, 835, 5018, 4505, 269, 4438, 713, 4359, 2866, 267, 2104, 2489, 1072, 16895, 4685, 4514, 883, 3584, 971, 607, 5042, 15515, 24173, 3797, 267, 11095, 6530, 267, 543, 23798, 269, 3958, 267, 789, 2744, 3946, 6823, 1995, 998, 24892, 22631, 4721, 538, 3782, 6703, 269, 7053, 267, 1310, 18138, 741, 4487, 781, 4110, 267, 930, 2043, 3442, 547, 11654, 2417, 2069, 267, 15980, 513, 4387, 622, 538, 6530, 267, 3850, 873, 547, 1831, 4966, 538, 741, 6074, 1858, 780, 1103, 5758, 267, 2489, 1072, 16895, 1404, 513, 2629, 1909, 538, 5009, 1434, 1072, 543, 7303, 10108, 269, 4635, 741, 1983, 538, 1382, 267, 4879, 267, 543, 6304, 267, 789, 948, 2550, 6330, 1950, 3929, 2591, 1247, 5807, 2318, 2242, 538, 6197, 6208, 269, 1403, 596, 4312, 2479, 9289, 875, 938, 8186, 3310, 938, 4703, 610, 4941, 547, 4217, 1866, 538, 2713, 18668, 267, 8902, 2729, 267, 1287, 5310, 513, 4876, 538, 2489, 1072, 6530, 1223, 581, 1318, 585, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 9457, 538, 4937, 2657, 10017, 14884, 547, 723, 513, 4876, 607, 513, 2489, 1072, 18673, 269, 634, 2489, 1072, 18673, 568, 513, 3318, 945, 2306, 1382, 267, 4879, 543, 5626, 6304, 1568, 538, 519, 1072, 5823, 543, 267, 18867, 267, 7506, 519, 13319, 543, 6454, 540, 519, 2489, 1072, 4567, 540, 922, 23700, 269, 9747, 267, 621, 568, 513, 29286, 1369, 519, 10017, 4791, 2361, 563, 763, 9457, 779, 23422, 2620, 839, 538, 519, 1034, 23963, 3491, 1597, 2553, 538, 519, 4879, 267, 5868, 543, 5626, 6304, 538, 1453, 267, 1762, 1004, 543, 4079, 269, 5015, 267, 2016, 922, 2470, 267, 621, 3947, 519, 5759, 602, 616, 2877, 607, 1134, 607, 3376, 2930, 543, 7811, 1702, 547, 581, 513, 1072, 3318, 269, 1924, 267, 621, 15109, 1818, 5007, 22631, 1222, 538, 4583, 1072, 1416, 7740, 267, 609, 799, 519, 2160, 814, 9896, 513, 5698, 6876, 267, 602, 5512, 8380, 883, 2259, 543, 2744, 1995, 538, 1483, 2324, 8658, 563, 8005, 568, 519, 10872, 585, 888, 763, 9457, 538, 9198, 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, 1158, 540, 1870, 543, 9297, 267, 4763, 267, 9698, 267, 543, 10014, 630, 14701, 296, 264, 723, 1831, 2565, 3334, 540, 3811, 10721, 4640, 269, 1717, 267, 607, 7074, 538, 519, 1349, 267, 6612, 4805, 568, 13385, 950, 2679, 513, 4264, 16692, 296, 4640, 269, 14992, 1590, 1902, 942, 267, 2200, 267, 543, 1489, 585, 891, 7341, 547, 6556, 1279, 3856, 2164, 269, 2290, 1898, 2460, 540, 16692, 296, 2994, 568, 17499, 9186, 2866, 269, 2913, 781, 5490, 4514, 883, 1018, 17499, 12886, 616, 267, 1946, 789, 2339, 538, 1870, 267, 543, 875, 547, 3927, 2936, 17499, 9186, 2866, 3292, 1369, 707, 3919, 780, 1262, 4462, 16225, 532, 1133, 10940, 4437, 1162, 4373, 5331, 1373, 513, 16461, 3438, 25461, 609, 17265, 759, 6979, 585, 606, 1930, 2990, 269, 1411, 3533, 11571, 998, 873, 543, 1265, 3054, 6537, 547, 10457, 945, 2671, 2147, 3872, 10080, 267, 4690, 267, 610, 12348, 607, 596, 798, 269, 9453, 16734, 621, 267, 596, 949, 723, 15763, 824, 11727, 10457, 3274, 1317, 789, 4769, 1405, 3514, 519, 9044, 540, 1018, 596, 2015, 5432, 610, 11541, 1107, 713, 568, 606, 1383, 540, 17499, 9186, 693, 1404, 780, 4462, 10940, 12886, 616, 1514, 11475, 4646, 3544, 938, 6857, 4656, 602, 3310, 938, 21520, 267, 3664, 267, 543, 3527, 269, 1358, 6565, 689, 1585, 2959, 899, 2686, 8155, 267, 2123, 2833, 267, 543, 6848, 6788, 269, 2755, 789, 948, 721, 1184, 1344, 6385, 267, 789, 666, 849, 1291, 547, 15490, 2126, 540, 2043, 1759, 593, 741, 5198, 267, 4008, 267, 2085, 267, 4984, 267, 4638, 10066, 267, 610, 9659, 4567, 780, 1262, 763, 8177, 540, 1133, 10940, 4437, 1162, 538, 6355, 4373, 1103, 519, 9036, 267, 17499, 12886, 666, 11874, 1860, 17849, 2853, 267, 2773, 20241, 267, 3260, 687, 267, 543, 2319, 6384, 269, 1280, 3236, 267, 21533, 9186, 1522, 2014, 9946, 547, 13498, 5520, 9797, 952, 789, 3858, 609, 873, 543, 11874, 6382, 267, 5732, 12018, 4876, 2208, 3255, 269, 6684, 267, 25505, 9186, 1223, 1267, 538, 4630, 18100, 6887, 1141, 3309, 16752, 616, 26173, 267, 588, 604, 1782, 5647, 543, 5876, 780, 11101, 267, 31250, 17499, 12886, 666, 3565, 547, 513, 6757, 960, 1604, 267, 14124, 9441, 27907, 543, 7607, 269, 589, 1353, 5342, 676, 9697, 3315, 560, 7000, 602, 5520, 945, 1745, 3769, 616, 7466, 607, 2693, 547, 581, 7722, 693, 960, 267, 2417, 10771, 519, 2956, 540, 5466, 17499, 12886, 538, 5807, 513, 2318, 9746, 2528, 780, 1262, 17637, 532, 13229, 1133, 10940, 4437, 553, 9751, 15789, 4373, 2414, 1711, 6209, 1689, 267, 3906, 991, 547, 1374, 3102, 17499, 9186, 2866, 3292, 3358, 547, 741, 2189, 2115, 269, 6333, 6220, 519, 1739, 2609, 883, 707, 6437, 1384, 272, 269, 2878, 288, 16346, 4995, 10670, 676, 9870, 4656, 827, 1114, 2010, 540, 12886, 267, 971, 607, 21533, 9186, 267, 25505, 9186, 267, 543, 10300, 334, 1198, 269, 11559, 5171, 547, 2992, 593, 8320, 1141, 789, 949, 723, 4810, 610, 17820, 21678, 2623, 563, 273, 269, 2878, 20236, 26190, 5751, 4995, 20864, 1582, 12431, 20156, 2645, 543, 8086, 2238, 602, 1450, 5171, 547, 4983, 741, 1378, 4978, 267, 2418, 267, 543, 10054, 269, 901, 22161, 8826, 1935, 2337, 2043, 5431, 1761, 9420, 9634, 543, 1174, 875, 741, 5615, 1522, 1764, 1866, 563, 274, 269, 2878, 9928, 523, 9222, 2861, 1565, 4995, 10558, 10853, 7653, 20515, 1585, 3029, 540, 12886, 538, 2962, 269, 11120, 4106, 622, 5717, 1472, 4244, 4485, 543, 2994, 547, 11574, 9186, 538, 1142, 3510, 563, 275, 269, 2878, 288, 794, 4058, 4995, 25085, 5171, 547, 1020, 6405, 2962, 4566, 24152, 1808, 3268, 789, 786, 1491, 547, 2569, 9186, 538, 741, 3232, 4205, 269, 3629, 5571, 1489, 267, 12477, 6127, 267, 543, 1246, 5346, 7886, 547, 2327, 4797, 3356, 563, 276, 269, 2878, 18204, 1674, 883, 6626, 16692, 296, 3646, 4995, 25506, 602, 17499, 9186, 2866, 568, 1175, 835, 5057, 540, 513, 3677, 16692, 296, 4640, 269, 1325, 793, 707, 1982, 609, 2949, 2754, 6859, 267, 4180, 5812, 20261, 543, 7029, 2066, 782, 2157, 540, 519, 3919, 563, 277, 269, 2878, 9288, 5501, 618, 543, 6268, 4995, 17115, 2708, 519, 7145, 540, 707, 17499, 9186, 2866, 1982, 1210, 11050, 1239, 630, 324, 3052, 1421, 840, 7146, 2022, 13652, 1456, 12220, 7893, 10182, 10593, 264, 543, 12007, 5955, 630, 324, 3052, 1421, 1445, 2516, 7234, 1883, 1451, 902, 1040, 8033, 28204, 13217, 707, 1935, 1759, 593, 891, 4030, 780, 8855, 267, 2870, 606, 8537, 9036, 3340, 811, 982, 8806, 10115, 538, 16692, 296, 5107, 610, 10647, 17573, 2866, 7886, 282, 621, 7569, 13455, 4674, 267, 11428, 267, 543, 11528, 2242, 269, 1635, 14344, 543, 5466, 17499, 12886, 267, 4213, 666, 6536, 3152, 14619, 267, 2463, 267, 543, 5698, 1851, 5520, 1247, 26378, 883, 519, 2407, 1761, 540, 4763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19465, 513, 21988, 16692, 296, 15613, 10671, 2231, 2859, 20537, 968, 303, 6842, 7536, 24309, 676, 19759, 2378, 3474, 9366, 714, 454, 5475, 519, 12638, 540, 6723, 4469, 20477, 972, 729, 513, 476, 4649, 260, 2333, 538, 16692, 296, 5107, 2687, 547, 634, 5980, 540, 5274, 8249, 28968, 269, 1306, 2576, 945, 814, 1044, 538, 519, 16692, 296, 2230, 585, 3592, 1079, 5756, 713, 729, 8716, 547, 1294, 3549, 2253, 547, 1902, 538, 713, 1858, 538, 519, 12687, 540, 971, 513, 13357, 543, 6848, 2604, 269, 10251, 1614, 1296, 593, 649, 1294, 602, 585, 1082, 3906, 519, 5092, 538, 16692, 296, 729, 811, 1685, 894, 607, 519, 4346, 3323, 547, 16756, 543, 16692, 296, 5107, 941, 519, 1101, 547, 581, 17515, 269, 5015, 267, 1346, 945, 941, 12912, 883, 16692, 296, 5107, 941, 711, 6462, 610, 1305, 909, 585, 1967, 3056, 547, 1164, 24826, 543, 25794, 538, 519, 3924, 269, 4340, 547, 1234, 767, 1470, 22475, 267, 519, 1140, 761, 542, 2557, 585, 16692, 296, 5107, 729, 476, 3451, 260, 693, 519, 1439, 540, 476, 1708, 273, 267, 3379, 547, 476, 2641, 260, 585, 1875, 5937, 292, 296, 5107, 269, 901, 960, 568, 5230, 543, 666, 581, 24949, 543, 1419, 1004, 538, 16692, 296, 5107, 616, 7231, 609, 741, 1378, 5030, 2833, 799, 666, 1764, 741, 522, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 16844, 1299, 29621, 1315, 1133, 10940, 4437, 553, 9751, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4357, 543, 856, 540, 17927, 18820, 563, 763, 14774, 20169, 1126, 29687, 301, 6224, 264, 5917, 16014, 267, 1767, 602, 519, 30645, 1072, 1062, 16941, 8185, 593, 7991, 2657, 20709, 267, 945, 7500, 936, 1079, 555, 8674, 540, 12729, 2657, 2578, 637, 630, 15771, 12336, 264, 1256, 950, 789, 1419, 3668, 519, 2556, 1983, 585, 2298, 3782, 6765, 563, 3891, 4061, 1572, 585, 4824, 3119, 3782, 6765, 538, 13280, 267, 4946, 602, 13280, 19380, 476, 11820, 1453, 7201, 19317, 829, 476, 272, 267, 1822, 2661, 24570, 563, 1103, 13280, 267, 896, 19317, 9019, 2557, 568, 476, 11820, 829, 476, 272, 267, 1822, 2661, 24570, 282, 20169, 9019, 268, 476, 4097, 270, 272, 267, 1822, 630, 7419, 32019, 3557, 540, 519, 2622, 779, 5753, 267, 476, 1001, 277, 1070, 476, 7830, 829, 1298, 540, 5838, 625, 4755, 1510, 519, 4527, 540, 513, 9952, 4332, 7390, 656, 563, 2467, 616, 1079, 9952, 1072, 4600, 585, 1169, 476, 272, 267, 1822, 1004, 630, 663, 27020, 9391, 267, 476, 1001, 274, 264, 538, 476, 1001, 275, 267, 3079, 540, 519, 5227, 476, 1428, 829, 1298, 5227, 676, 519, 26512, 10937, 17083, 269, 2755, 5216, 829, 1298, 540, 519, 2229, 779, 6578, 729, 6170, 593, 1072, 267, 856, 540, 17927, 18820, 593, 1072, 568, 1164, 676, 476, 7761, 829, 1298, 540, 2698, 1072, 18820, 563, 4263, 519, 2518, 4395, 267, 16440, 519, 5753, 1185, 1044, 693, 519, 5969, 12967, 540, 519, 5272, 19716, 5272, 4132, 630, 11246, 4488, 264, 2518, 5859, 602, 814, 1044, 11319, 585, 2799, 3084, 7029, 547, 5092, 538, 772, 18449, 676, 2679, 8471, 267, 10285, 267, 14774, 267, 20169, 267, 1126, 543, 15730, 1072, 2533, 630, 305, 300, 301, 7563, 295, 264, 693, 519, 3119, 1072, 1416, 1377, 607, 519, 1101, 10862, 543, 3922, 2358, 519, 30529, 543, 1034, 8589, 2213, 2516, 563, 24591, 519, 5753, 1185, 1044, 9141, 676, 513, 6612, 547, 1294, 602, 1100, 1126, 10523, 689, 28824, 3123, 543, 814, 4797, 547, 12840, 609, 519, 6608, 540, 20698, 657, 267, 717, 558, 2041, 543, 918, 611, 10044, 2829, 593, 513, 1297, 540, 7459, 267, 1519, 519, 2657, 20709, 27519, 8490, 630, 18449, 289, 264, 1788, 563, 18449, 289, 568, 513, 1614, 4458, 1788, 267, 17364, 689, 4873, 476, 1001, 276, 547, 2904, 476, 1001, 279, 267, 5059, 593, 2679, 519, 4390, 540, 1072, 4600, 538, 20698, 657, 998, 1896, 536, 537, 21103, 540, 5721, 902, 1519, 12708, 1715, 9799, 5516, 267, 769, 915, 687, 543, 17261, 1149, 5004, 9751, 267, 21091, 5004, 540, 19974, 29520, 525, 630, 8379, 5746, 1070, 1851, 1866, 563, 763, 31125, 289, 568, 849, 8149, 547, 2870, 606, 7175, 3609, 1604, 585, 519, 6765, 540, 4824, 631, 11189, 1715, 9799, 543, 4132, 2657, 630, 300, 301, 6224, 264, 2533, 538, 20698, 657, 3557, 563, 305, 1195, 932, 1731, 342, 655, 267, 9351, 15051, 15440, 585, 16440, 519, 5753, 13280, 538, 20698, 657, 3557, 267, 1767, 281, 968, 2171, 991, 547, 798, 811, 547, 2087, 1072, 1416, 6765, 585, 11299, 543, 1453, 538, 519, 2197, 607, 519, 5515, 2992, 1164, 2338, 540, 7972, 1851, 896, 1922, 1161, 3034, 2419, 1731, 342, 655, 1767, 281, 968, 24591, 519, 5753, 568, 10912, 585, 2799, 3084, 7029, 543, 5092, 2509, 772, 18449, 267, 676, 2679, 681, 300, 301, 7563, 295, 2533, 693, 3119, 1072, 1416, 1377, 607, 513, 1101, 10862, 543, 3922, 2358, 1569, 585, 519, 30529, 543, 1034, 8589, 2213, 543, 16934, 2516, 563, 2108, 5978, 1289, 547, 6608, 267, 22881, 267, 1646, 4891, 543, 782, 8639, 568, 547, 10018, 606, 1898, 10189, 540, 681, 300, 301, 7563, 295, 2533, 607, 519, 1101, 10862, 585, 772, 18449, 282, 1863, 693, 519, 1448, 540, 946, 543, 3015, 547, 782, 282, 3715, 942, 27995, 9698, 9072, 585, 18965, 3356, 1851, 519, 30529, 543, 1034, 8589, 2213, 543, 16934, 1004, 267, 865, 1100, 835, 568, 2451, 3297, 563, 14071, 849, 1289, 585, 2333, 538, 1857, 7836, 593, 3782, 547, 693, 2547, 4363, 5934, 2157, 282, 2087, 2298, 543, 3895, 16614, 543, 14064, 1881, 1416, 538, 1072, 6703, 543, 4628, 2936, 519, 2817, 2657, 2920, 2223, 519, 9351, 15051, 15440, 1767, 563, 763, 31125, 289, 1788, 568, 14102, 609, 1489, 689, 3794, 1314, 334, 29834, 298, 1467, 543, 519, 16440, 519, 5753, 568, 1634, 1158, 17253, 607, 513, 28487, 532, 5639, 585, 1126, 6668, 267, 1646, 543, 7589, 563, 15674, 30264, 2969, 13543, 22400, 9501, 2177, 306, 3036, 3633, 700, 2562, 16775, 645, 5085, 8582, 28132, 16898, 2475, 7711, 1496, 16942, 6870, 316, 610, 1289, 1341, 23056, 279, 1015, 277, 6507, 280, 6507, 279, 454, 290, 4047, 290, 298, 744, 7473, 8946, 2464, 292, 29206, 2464, 16249, 5254, 3036, 22494, 912, 268, 30645, 10136, 7001, 3043, 812, 538, 590, 3711, 13453, 4104, 454, 268, 1215, 30645, 13639, 26665, 590, 3711, 13453, 4104, 454, 268, 5041, 832, 267, 11572, 24285, 5556, 7806, 3634, 5518, 645, 7795, 926, 267, 13639, 2201, 634, 6875, 1478, 2986, 590, 3711, 13453, 11206, 454, 268, 6271, 476, 2641, 932, 756, 758, 6690, 15685, 676, 645, 32634, 4498, 600, 454, 268, 645, 558, 828, 24320, 2213, 607, 581, 1375, 541, 19754, 476, 273, 454, 268, 30645, 7952, 8992, 5136, 553, 534, 14765, 779, 5067, 267, 476, 1556, 1866, 454, 268, 3703, 1402, 22256, 6723, 7812, 568, 4666, 454, 268, 476, 276, 554, 2931, 585, 20997, 2103, 945, 616, 29279, 547, 519, 4950, 454, 268, 645, 7795, 926, 547, 20997, 2103, 281, 21813, 547, 2696, 693, 2473, 5733, 454, 268, 1401, 2821, 4856, 8306, 267, 5192, 476, 276, 260, 3245, 5589, 2642, 700, 2393, 1107, 674, 294, 15681, 338, 1733, 16824, 321, 869, 619, 454, 268, 674, 294, 5487, 31708, 6176, 2561, 1107, 674, 294, 301, 594, 4338, 303, 454, 268, 3624, 3792, 1206, 1876, 593, 2757, 4915, 454, 268, 645, 7795, 926, 267, 2701, 330, 879, 7396, 1851, 1034, 3532, 12356, 454, 268, 4139, 2923, 3589, 8909, 1439, 585, 631, 12613, 13280, 454, 268, 645, 807, 325, 571, 5240, 281, 8307, 10456, 267, 24054, 4024, 25745, 3397, 2787, 910, 296, 326, 2692, 6828, 454, 268, 30645, 31654, 1682, 18448, 338, 14686, 9604, 693, 20698, 657, 694, 777, 677, 454, 268, 6739, 4108, 15191, 26301, 267, 476, 10844, 5884, 454, 268, 2859, 14730, 17121, 2986, 476, 1001, 278, 20907, 281, 5455, 18141, 2986, 30814, 808, 1115, 717, 592, 1186, 715, 273, 269, 275, 16818, 454, 268, 3733, 13639, 13012, 674, 2683, 2060, 2782, 267, 595, 19281, 1107, 6751, 289, 454, 268, 2859, 6184, 697, 593, 519, 14730, 17121, 540, 13280, 779, 476, 1001, 278, 20907, 0, 15430, 7808, 22411, 338, 543, 5082, 687, 454, 4263, 519, 1034, 4909, 1377, 519, 20440, 540, 782, 10457, 585, 1857, 1055, 328, 2781, 568, 547, 3094, 269, 769, 1931, 547, 3094, 2413, 11044, 267, 2797, 6105, 1246, 513, 942, 2389, 6479, 4542, 602, 2882, 535, 328, 7800, 532, 519, 1655, 2009, 10457, 267, 2178, 2508, 24597, 267, 513, 4396, 5859, 3919, 267, 543, 5140, 1135, 1782, 269, 1879, 1312, 2797, 6105, 1246, 713, 4542, 267, 11044, 1590, 1419, 2736, 609, 2245, 543, 3343, 856, 10124, 602, 786, 1683, 873, 609, 513, 8013, 5413, 269, 15443, 573, 919, 543, 741, 11044, 693, 519, 16232, 1377, 616, 1851, 519, 1034, 5499, 269, 1280, 1383, 267, 538, 476, 1960, 273, 9291, 22735, 779, 5859, 3919, 2813, 513, 4028, 3210, 968, 8705, 4055, 892, 585, 519, 3483, 540, 3533, 3246, 519, 3377, 2923, 609, 741, 1378, 968, 4944, 514, 892, 547, 519, 30852, 540, 1010, 17837, 269, 1306, 891, 29426, 2994, 6961, 3811, 267, 789, 1831, 519, 2343, 538, 519, 1985, 5859, 4783, 269, 0, 10144, 945, 9846, 3548, 3810, 2892, 1540, 3536, 949, 5595, 741, 1981, 540, 7181, 2860, 267, 621, 729, 10645, 2063, 3781, 563, 10932, 1759, 593, 519, 8192, 267, 6704, 543, 7296, 6208, 540, 476, 2412, 267, 1822, 5545, 936, 476, 1556, 1296, 4667, 1978, 547, 1039, 547, 2604, 593, 3703, 1426, 9755, 547, 2759, 20427, 519, 2179, 540, 6070, 538, 741, 2472, 563, 15933, 4585, 323, 9233, 538, 6628, 723, 13671, 593, 519, 12178, 540, 1164, 2157, 540, 9770, 17296, 630, 338, 5306, 264, 2810, 519, 3463, 540, 3384, 1164, 1973, 2604, 543, 2295, 2068, 610, 2348, 513, 8482, 563, 763, 5545, 2732, 15320, 689, 519, 7262, 2732, 281, 2892, 1154, 267, 4584, 1782, 543, 7296, 723, 1044, 811, 1455, 563, 3719, 513, 1957, 3370, 538, 519, 3703, 4750, 540, 9435, 5267, 602, 972, 949, 581, 930, 3095, 609, 606, 2799, 7181, 2860, 1981, 1851, 1004, 4171, 4616, 568, 607, 1970, 607, 476, 275, 326, 547, 476, 277, 326, 513, 1554, 269, 2334, 568, 519, 2186, 540, 1377, 547, 799, 519, 2229, 1131, 899, 547, 2569, 519, 1459, 476, 280, 326, 513, 1554, 2937, 3328, 6981, 563, 763, 4080, 30945, 538, 2860, 1981, 729, 267, 2705, 267, 1851, 1164, 6800, 281, 1346, 945, 1522, 723, 1185, 476, 1321, 326, 547, 476, 1428, 326, 513, 1554, 563, 763, 1353, 6700, 602, 519, 1981, 540, 7181, 2860, 1851, 2367, 609, 1970, 6070, 6981, 729, 835, 538, 476, 272, 267, 1822, 513, 1032, 269, 901, 23060, 547, 835, 538, 476, 4335, 1851, 1346, 609, 1164, 6070, 6981, 269, 634, 1981, 729, 835, 538, 476, 273, 267, 1822, 585, 2021, 609, 1970, 6070, 11326, 543, 835, 538, 476, 272, 267, 4968, 585, 1346, 945, 17696, 513, 2603, 540, 6070, 563, 1805, 6729, 2860, 568, 519, 8772, 1034, 1455, 538, 519, 1158, 855, 519, 2034, 5207, 20740, 267, 609, 606, 6059, 476, 6507, 277, 267, 1822, 7972, 513, 1032, 563, 2690, 2826, 976, 267, 621, 568, 519, 15795, 1034, 1455, 2860, 267, 609, 476, 1015, 267, 1822, 1007, 2665, 513, 1032, 282, 2947, 4458, 6668, 3928, 616, 1869, 1152, 476, 1556, 260, 268, 1321, 18336, 293, 604, 1399, 1296, 3516, 621, 729, 519, 3056, 2860, 538, 6628, 267, 11021, 602, 811, 7059, 11326, 543, 4824, 9882, 723, 5280, 563, 12867, 689, 519, 2817, 9435, 10418, 3194, 4659, 693, 918, 20076, 11445, 267, 2282, 19519, 267, 6594, 26830, 24223, 11326, 540, 1004, 538, 2185, 13102, 540, 3567, 269, 7324, 476, 1240, 267, 6924, 275, 2367, 267, 789, 1336, 476, 3374, 279, 2665, 540, 7181, 2860, 269, 1703, 941, 476, 12553, 2665, 1851, 476, 736, 267, 4343, 272, 2021, 563, 4537, 334, 747, 10098, 17578, 340, 1146, 324, 267, 945, 3366, 519, 1353, 267, 1767, 281, 834, 7212, 972, 568, 513, 11931, 7771, 538, 922, 11841, 267, 23441, 2860, 568, 1869, 519, 1034, 1455, 1106, 540, 2860, 538, 3567, 563, 24281, 1840, 547, 6070, 6981, 267, 938, 1353, 849, 2982, 602, 7296, 543, 1970, 4616, 540, 4829, 543, 5388, 4679, 519, 1981, 540, 7181, 2860, 3226, 538, 2367, 4799, 14722, 723, 2907, 3964, 602, 1164, 6070, 6981, 666, 16578, 513, 2783, 1634, 607, 693, 13116, 8819, 8539, 267, 513, 24888, 547, 7181, 2860, 269, 634, 2810, 7262, 5314, 540, 5545, 11326, 814, 2938, 606, 2333, 538, 6089, 543, 15108, 11871, 563, 20755, 28270, 267, 606, 16917, 328, 6048, 2324, 585, 9435, 3194, 5177, 267, 799, 22595, 519, 4760, 267, 1767, 602, 519, 1353, 12006, 519, 2178, 7681, 540, 7181, 2860, 609, 3536, 971, 607, 2892, 1540, 3165, 543, 4584, 1194, 5388, 563, 30948, 649, 1810, 1405, 917, 568, 2436, 621, 568, 4481, 519, 6070, 538, 891, 3536, 602, 666, 2014, 2860, 610, 513, 4999, 540, 6070, 543, 824, 6464, 2437, 646, 1767, 563, 24281, 6628, 7181, 2860, 3928, 616, 1454, 2539, 543, 891, 2010, 540, 3810, 2892, 1540, 3536, 616, 711, 4922, 10057, 563, 257, 3719, 12145, 6070, 703, 1389, 568, 849, 1271, 585, 4227, 519, 1981, 585, 1164, 1973, 2604, 543, 9025, 2068, 4799, 763, 1426, 2872, 814, 9411, 17319, 11650, 547, 2569, 6070, 538, 2472, 910, 543, 1967, 814, 1044, 6913, 538, 930, 2127, 971, 607, 3694, 5478, 563, 3719, 519, 2229, 814, 12219, 602, 621, 786, 3196, 3549, 547, 6003, 1164, 1606, 5306, 2472, 8259, 789, 666, 6961, 602, 789, 616, 3001, 3533, 547, 2569, 1543, 269, 0, 2252, 596, 723, 2479, 19557, 547, 519, 5925, 593, 519, 1286, 267, 593, 707, 1753, 267, 596, 1590, 581, 3222, 540, 29482, 543, 7537, 269, 5047, 267, 596, 786, 849, 5469, 602, 1142, 5925, 6728, 814, 513, 2189, 2232, 593, 519, 29482, 543, 7537, 4336, 269, 6270, 513, 7613, 3297, 5925, 6771, 21409, 689, 707, 19463, 29482, 6728, 547, 707, 8301, 3926, 568, 835, 540, 519, 1034, 1271, 3096, 540, 25244, 563, 5804, 5925, 10473, 547, 1585, 824, 12331, 540, 2792, 267, 25244, 568, 3648, 1271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23475, 676, 3627, 19077, 26489, 563, 272, 560, 910, 476, 273, 526, 10439, 1299, 27400, 8551, 476, 274, 14358, 476, 279, 20042, 454, 15404, 673, 11242, 585, 7216, 19974, 29621, 454, 7476, 707, 4779, 951, 543, 695, 5474, 9240, 8221, 547, 519, 10726, 609, 713, 3126, 540, 7574, 2238, 2966, 547, 2743, 3025, 781, 2115, 256, 14210, 3756, 267, 1210, 606, 25819, 540, 7405, 267, 3142, 4656, 547, 835, 781, 1560, 267, 2634, 267, 543, 1514, 4205, 538, 513, 2483, 7093, 11860, 910, 476, 272, 560, 10439, 1299, 27400, 8551, 18938, 281, 24623, 454, 303, 10730, 28545, 645, 13831, 910, 14576, 10794, 454, 303, 10730, 2259, 814, 2760, 1044, 865, 1187, 256, 7581, 591, 569, 21934, 1245, 539, 14440, 2259, 7886, 1291, 547, 12644, 267, 782, 540, 799, 7118, 519, 6345, 2798, 269, 634, 813, 814, 513, 3059, 13691, 585, 4730, 950, 596, 2811, 593, 519, 979, 267, 610, 5512, 519, 17974, 14440, 2483, 298, 910, 14451, 3798, 10439, 1299, 27400, 8551, 454, 763, 11205, 3429, 540, 623, 665, 1695, 2632, 553, 543, 3627, 681, 6504, 324, 454, 18439, 3864, 13896, 676, 15388, 519, 1686, 540, 9098, 269, 769, 713, 7111, 1977, 1686, 3992, 267, 1053, 2697, 519, 4583, 1977, 4095, 25905, 3957, 623, 665, 1695, 2632, 553, 267, 1200, 2078, 609, 3627, 8055, 267, 543, 1200, 7365, 547, 2483, 298, 910, 476, 275, 628, 10439, 1299, 27400, 8551, 0, 296, 993, 711, 513, 4116, 563, 763, 2243, 1058, 581, 267, 834, 1692, 798, 596, 7933, 3996, 835, 24969, 1412, 338, 262, 8119, 610, 267, 834, 1692, 568, 1412, 338, 262, 14733, 24350, 763, 1412, 338, 262, 540, 1412, 529, 262, 568, 2141, 14733, 1412, 345, 262, 7488, 540, 519, 4484, 602, 5956, 519, 1739, 2262, 563, 1103, 834, 18431, 1032, 257, 519, 1412, 338, 262, 3085, 1405, 2097, 1354, 519, 1412, 344, 3299, 621, 2501, 1354, 513, 1412, 339, 262, 543, 814, 519, 3339, 521, 756, 559, 656, 1412, 338, 262, 3280, 596, 1265, 538, 834, 572, 553, 728, 8487, 22923, 610, 3231, 1676, 0, 296, 6415, 513, 1164, 7400, 1100, 271, 321, 945, 2760, 1031, 14133, 1354, 269, 3767, 267, 1250, 1610, 269, 4116, 5143, 721, 547, 3113, 519, 1239, 649, 616, 9277, 547, 4283, 538, 519, 2281, 269, 3733, 1966, 334, 568, 602, 519, 24211, 293, 21914, 5750, 10525, 1079, 3515, 267, 835, 585, 29376, 292, 543, 1776, 585, 20591, 12195, 3722, 30121, 269, 18040, 16730, 621, 568, 9277, 547, 4729, 513, 20591, 12195, 3722, 30121, 25966, 269, 29376, 292, 3113, 267, 799, 3568, 1152, 835, 1899, 585, 966, 5085, 8016, 14510, 630, 11514, 10293, 270, 11742, 1916, 296, 666, 1405, 4137, 856, 875, 547, 798, 519, 4542, 547, 7941, 2598, 10293, 676, 5384, 269, 634, 1239, 616, 538, 1079, 897, 4548, 630, 288, 1299, 645, 1070, 342, 1934, 589, 568, 5384, 543, 645, 568, 12761, 269, 1703, 616, 476, 1724, 9343, 540, 1239, 585, 1142, 6241, 267, 875, 798, 594, 1118, 513, 4542, 547, 1821, 728, 1169, 4737, 538, 6241, 645, 263, 11514, 10293, 264, 676, 1169, 4737, 538, 6241, 589, 263, 11742, 1040, 594, 849, 530, 13860, 581, 2111, 547, 1118, 513, 3113, 585, 519, 1239, 729, 9411, 563, 31171, 281, 715, 30470, 11550, 25770, 300, 674, 21197, 3633, 269, 3807, 476, 272, 522, 262, 891, 29749, 5378, 339, 1389, 594, 4312, 1500, 630, 296, 2141, 798, 1040, 645, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6517, 693, 519, 4945, 540, 513, 7735, 2443, 621, 779, 899, 513, 2123, 267, 18951, 1130, 564, 269, 2311, 519, 942, 540, 922, 5305, 267, 519, 4201, 641, 559, 582, 10189, 1942, 606, 3063, 1269, 273, 267, 4335, 563, 7712, 519, 476, 278, 269, 272, 3301, 5305, 267, 4201, 641, 559, 582, 814, 20335, 1776, 7372, 22010, 269, 23663, 3710, 1310, 5239, 476, 1001, 277, 616, 9280, 609, 513, 24194, 540, 1007, 8800, 602, 8441, 4201, 641, 559, 582, 779, 7207, 563, 763, 3301, 18387, 1406, 1044, 4628, 5950, 2943, 267, 855, 621, 786, 5555, 1450, 6517, 547, 6474, 741, 3432, 547, 6808, 2175, 267, 8850, 1689, 28961, 1510, 9920, 3403, 267, 19467, 593, 543, 1055, 28565, 267, 543, 6288, 3294, 269, 898, 786, 849, 581, 2111, 547, 23603, 1472, 3615, 538, 513, 811, 1950, 1604, 982, 621, 1223, 1354, 950, 596, 2040, 3000, 621, 563, 763, 3301, 3790, 1269, 276, 267, 1822, 693, 519, 942, 540, 6718, 269, 23592, 3081, 519, 8800, 786, 849, 1489, 2407, 267, 1582, 28391, 7207, 267, 799, 786, 1942, 606, 3606, 1269, 279, 267, 1822, 693, 519, 942, 540, 6718, 563, 763, 7844, 590, 543, 7844, 2473, 3893, 513, 2101, 6007, 22010, 547, 8831, 741, 9832, 563, 1103, 4864, 476, 1001, 277, 267, 30073, 9307, 519, 1007, 476, 1911, 10275, 559, 578, 3430, 16923, 6007, 22010, 585, 519, 7844, 590, 543, 7844, 2473, 6517, 602, 723, 23160, 545, 9317, 12331, 2063, 4864, 563, 763, 1007, 6007, 4781, 11498, 519, 2039, 540, 519, 7844, 590, 547, 476, 25628, 5195, 829, 5279, 267, 1818, 621, 519, 1101, 3167, 1286, 593, 519, 2344, 547, 9765, 476, 4968, 5195, 540, 2039, 269, 634, 1007, 6007, 4781, 849, 11498, 519, 2039, 540, 519, 7844, 2473, 609, 23160, 545, 9317, 7154, 547, 476, 29579, 5195, 563, 763, 22010, 849, 6087, 519, 7844, 590, 623, 1911, 291, 23160, 545, 9317, 547, 17108, 689, 476, 271, 547, 476, 2568, 18890, 538, 1175, 476, 273, 269, 276, 7643, 267, 1818, 621, 519, 1158, 779, 3791, 1922, 770, 652, 2504, 1286, 269, 634, 3677, 6007, 3640, 849, 2306, 519, 7844, 2473, 519, 1158, 779, 2656, 652, 590, 10013, 609, 519, 2702, 547, 17108, 547, 476, 2568, 18890, 538, 476, 273, 269, 280, 7643, 563, 3719, 519, 22010, 3884, 1406, 10464, 2443, 1346, 945, 2907, 1378, 519, 1286, 666, 22010, 585, 1269, 736, 267, 1822, 269, 1403, 596, 1810, 1406, 1378, 621, 2943, 267, 621, 786, 8214, 606, 3063, 1269, 1015, 267, 1822, 593, 519, 3902, 563, 5472, 540, 891, 13847, 723, 3366, 909, 547, 23592, 779, 7887, 1286, 10131, 2943, 281, 634, 7844, 476, 274, 269, 519, 6822, 534, 729, 1101, 30792, 538, 4728, 476, 1001, 277, 543, 621, 3893, 3592, 476, 23283, 267, 1822, 840, 268, 7451, 563, 763, 7844, 476, 274, 786, 1376, 693, 1269, 3374, 267, 1822, 1510, 5313, 3454, 23614, 687, 267, 1818, 621, 513, 5458, 2841, 3218, 538, 519, 12601, 2344, 269, 898, 666, 17108, 689, 476, 271, 547, 476, 2568, 18890, 538, 896, 476, 277, 7643, 543, 786, 30107, 513, 2039, 540, 693, 2547, 476, 21497, 5195, 563, 307, 525, 5055, 16628, 4432, 517, 30073, 814, 1767, 602, 891, 616, 15977, 1179, 338, 23592, 13922, 547, 9765, 563, 2171, 3893, 513, 19214, 540, 513, 840, 1790, 3174, 4528, 540, 23592, 779, 7844, 476, 274, 593, 3955, 8063, 476, 27151, 538, 519, 5842, 12770, 7345, 9351, 2063, 3018, 563, 763, 7844, 476, 274, 814, 513, 1360, 5347, 543, 1964, 11712, 1374, 267, 799, 568, 519, 1688, 328, 1740, 540, 23592, 779, 8783, 14704, 267, 30686, 13153, 4591, 345, 27346, 523, 269, 634, 6822, 534, 814, 513, 811, 11029, 15493, 688, 4875, 982, 519, 7844, 590, 543, 513, 6024, 4837, 8122, 602, 6238, 693, 519, 2842, 3333, 1752, 543, 2196, 998, 519, 15493, 24401, 8814, 563, 2171, 3580, 1205, 547, 1294, 811, 4166, 2336, 307, 525, 5055, 814, 513, 2603, 811, 538, 519, 1568, 269, 634, 3678, 6033, 568, 2324, 593, 606, 3167, 14903, 543, 1776, 590, 10013, 602, 1131, 581, 29805, 7844, 962, 563, 2691, 922, 13653, 543, 16628, 267, 4432, 517, 30073, 267, 9672, 602, 6611, 311, 568, 10205, 532, 519, 1544, 547, 946, 513, 13324, 22900, 2244, 902, 585, 9370, 267, 621, 4769, 1406, 2097, 607, 513, 9983, 269, 30073, 1185, 5892, 9307, 602, 519, 3355, 2093, 585, 6611, 311, 779, 9370, 5692, 1185, 1044, 12649, 543, 2242, 941, 4947, 563, 763, 3312, 1544, 3769, 4152, 513, 22900, 476, 273, 23555, 585, 2627, 2244, 902, 593, 9370, 267, 27581, 676, 476, 1708, 271, 269, 7831, 3018, 267, 30073, 9307, 1282, 519, 4139, 6611, 13749, 3194, 543, 4886, 10985, 602, 6611, 311, 814, 22696, 5529, 519, 1374, 602, 2322, 13941, 7953, 593, 519, 22900, 476, 273, 23555, 269, 1717, 267, 713, 4769, 1406, 1611, 602, 6611, 311, 1131, 1100, 3476, 798, 1379, 2244, 902, 593, 9370, 563, 2108, 314, 763, 316, 1544, 568, 547, 798, 13324, 2244, 902, 593, 9370, 585, 2386, 267, 855, 609, 513, 27723, 8273, 6928, 2223, 30073, 1767, 593, 513, 512, 11548, 269, 17497, 267, 6611, 311, 779, 2230, 29893, 616, 5827, 540, 10943, 1662, 6658, 2244, 902, 267, 855, 2627, 2244, 902, 616, 811, 4998, 585, 13485, 547, 9370, 563, 1320, 8089, 513, 5642, 547, 6611, 311, 23551, 6002, 267, 30073, 7000, 2943, 1776, 1469, 563, 288, 476, 280, 332, 8006, 6174, 13352, 538, 938, 4540, 15327, 6693, 763, 6939, 545, 2022, 814, 1044, 1818, 513, 18388, 593, 519, 6611, 311, 23749, 267, 543, 930, 723, 6035, 741, 12496, 607, 547, 1018, 713, 8370, 2173, 2678, 630, 1789, 20356, 264, 8006, 3684, 1223, 581, 269, 2290, 7872, 568, 602, 621, 1223, 581, 519, 645, 1681, 7577, 779, 15993, 532, 3684, 267, 607, 519, 1699, 3044, 15993, 8006, 568, 10199, 476, 279, 269, 7871, 7397, 630, 2764, 10264, 1916, 4913, 267, 621, 779, 3810, 12691, 602, 30073, 729, 13288, 547, 513, 15993, 532, 3684, 269, 5901, 538, 2247, 602, 519, 645, 1681, 7577, 779, 1544, 568, 547, 2569, 519, 3044, 15993, 8006, 538, 3368, 610, 968, 1652, 982, 476, 1691, 3952, 2223, 607, 621, 3081, 538, 922, 3896, 269, 968, 305, 14445, 532, 519, 8006, 538, 3368, 6971, 15993, 532, 3790, 676, 476, 274, 268, 275, 2053, 3034, 288, 5080, 21215, 585, 5181, 454, 3383, 267, 952, 711, 513, 15993, 532, 3684, 267, 1018, 3116, 1223, 621, 581, 286, 589, 811, 4277, 19583, 568, 602, 6611, 311, 949, 581, 2679, 513, 4130, 4528, 540, 922, 3955, 17839, 8767, 13255, 3590, 630, 3951, 306, 1040, 30073, 814, 1767, 602, 789, 1544, 593, 5329, 519, 3790, 540, 1818, 543, 4509, 31244, 10257, 2443, 610, 267, 693, 519, 1360, 2547, 267, 693, 1612, 609, 519, 1269, 1220, 267, 1822, 829, 1268, 1942, 540, 3478, 593, 513, 8184, 547, 519, 4414, 14136, 269, 16393, 513, 9910, 268, 3951, 306, 581, 602, 3070, 888, 2108, 314, 301, 710, 316, 7397, 568, 476, 274, 270, 275, 540, 519, 2450, 540, 519, 476, 1321, 11281, 2407, 21092, 594, 4811, 2223, 835, 23551, 3218, 29499, 269, 968, 2467, 849, 5949, 547, 581, 476, 275, 6106, 540, 9817, 538, 519, 3312, 594, 4811, 1374, 269, 594, 1131, 7058, 602, 713, 568, 10416, 606, 594, 4811, 609, 519, 9018, 4494, 540, 476, 2641, 9817, 6569, 269, 589, 476, 2004, 2600, 4336, 6174, 269, 12846, 519, 1034, 3532, 15177, 538, 1686, 267, 543, 1496, 893, 569, 316, 476, 2004, 2600, 811, 3532, 982, 1496, 1492, 6611, 32374, 3590, 316, 3034, 15371, 30073, 568, 2679, 513, 4130, 594, 4811, 267, 519, 645, 1681, 7577, 779, 15993, 532, 3684, 267, 610, 1945, 3116, 7357, 267, 649, 4465, 1406, 917, 585, 2386, 2394, 646, 8761, 1018, 713, 2731, 568, 782, 827, 269, 1284, 991, 711, 7227, 602, 1279, 267, 1498, 267, 607, 30073, 1767, 602, 782, 786, 581, 7000, 693, 713, 1032, 779, 4139, 13562, 27658, 6837, 630, 296, 3722, 264, 538, 5181, 563, 8133, 267, 594, 27185, 19861, 13629, 538, 1931, 547, 1459, 519, 8242, 954, 17839, 8767, 15177, 1299, 5624, 1222, 1374, 538, 1520, 11253, 728, 269, 4024, 581, 593, 519, 3803, 1554, 563, 763, 17626, 16724, 568, 16516, 547, 3717, 593, 519, 3803, 1554, 630, 5353, 696, 269, 476, 3066, 264, 540, 713, 2680, 547, 581, 4371, 538, 1520, 11253, 728, 267, 5245, 269, 898, 729, 1282, 519, 594, 3722, 1394, 538, 476, 1001, 277, 602, 30073, 1101, 30792, 6611, 311, 779, 4566, 547, 1118, 8103, 883, 513, 3818, 13807, 534, 8767, 2249, 563, 3719, 267, 538, 1931, 585, 713, 3684, 547, 6707, 2347, 971, 513, 26832, 4305, 267, 519, 6323, 540, 25310, 1590, 267, 15069, 267, 581, 1134, 6956, 269, 901, 568, 1946, 30073, 5063, 1558, 609, 8316, 25079, 26302, 5981, 966, 1173, 553, 267, 945, 814, 513, 17890, 4282, 538, 6323, 267, 547, 1865, 519, 2339, 563, 28097, 532, 6323, 540, 25310, 609, 26302, 966, 1173, 553, 630, 15367, 814, 513, 6323, 4282, 1040, 8316, 25079, 1489, 585, 634, 645, 1681, 7577, 1454, 15874, 269, 4179, 2517, 339, 16691, 270, 308, 288, 8016, 843, 16818, 307, 454, 9802, 528, 966, 1173, 553, 5143, 634, 11545, 645, 872, 2763, 267, 968, 2005, 779, 606, 15813, 4743, 6616, 602, 519, 2104, 540, 6283, 568, 1373, 2919, 1934, 538, 8316, 25079, 267, 538, 1880, 713, 11895, 15993, 532, 1788, 2507, 295, 1177, 25079, 568, 1630, 4040, 1317, 540, 6611, 311, 267, 23592, 267, 543, 634, 645, 1681, 3213, 269, 1496, 15404, 330, 316, 10416, 556, 3530, 3305, 539, 1010, 7029, 547, 4543, 519, 2146, 3034, 11847, 7163, 9995, 344, 631, 1794, 5633, 540, 634, 11545, 645, 872, 2763, 3838, 2592, 689, 519, 5870, 3842, 513, 512, 11548, 563, 4322, 25310, 786, 581, 513, 9028, 540, 6323, 543, 4702, 269, 30073, 814, 5892, 6700, 602, 596, 1223, 5732, 968, 17647, 476, 1789, 6106, 540, 25310, 1848, 3571, 570, 13696, 1131, 957, 607, 513, 4990, 540, 968, 332, 1961, 2223, 19309, 998, 18374, 4376, 602, 1131, 1483, 12264, 581, 1336, 538, 922, 2619, 267, 689, 2571, 5070, 547, 2182, 4224, 563, 299, 16558, 2390, 6106, 540, 25310, 267, 26693, 1524, 676, 513, 2647, 3099, 540, 6472, 267, 786, 581, 606, 16529, 5137, 267, 855, 789, 1223, 581, 513, 3014, 7302, 9734, 538, 519, 2104, 540, 6283, 563, 14976, 517, 30073, 28280, 519, 4950, 13628, 950, 646, 9307, 602, 634, 645, 1681, 7577, 1185, 4607, 968, 16812, 22257, 13170, 892, 547, 1628, 519, 9823, 268, 6124, 3840, 15214, 31467, 609, 13515, 538, 22768, 543, 15740, 269, 589, 1166, 25744, 540, 1179, 2827, 593, 1018, 713, 1522, 1611, 3533, 21256, 267, 535, 10165, 676, 519, 1249, 602, 972, 568, 1100, 971, 3364, 607, 968, 16812, 22257, 13170, 892, 2443, 18513, 3785, 3112, 581, 862, 10642, 1510, 2854, 1237, 10094, 267, 11731, 267, 543, 824, 811, 6101, 3800, 563, 2252, 596, 1616, 713, 547, 4755, 3728, 267, 5225, 1577, 707, 2199, 1299, 5313, 11221, 13222, 917, 269, 24439, 513, 2462, 3017, 952, 789, 5873, 689, 596, 563, 302, 1553, 10118, 538, 1346, 2185, 4872, 941, 1256, 811, 14281, 982, 3025, 3116, 563, 2108, 301, 984, 1328, 538, 4975, 8065, 267, 610, 1022, 540, 938, 2749, 8041, 267, 814, 4862, 689, 6004, 269, 30073, 610, 1022, 13222, 540, 1010, 2754, 2223, 1244, 14280, 2046, 23122, 585, 519, 1715, 3840, 779, 25650, 5604, 267, 5484, 7203, 548, 267, 5143, 6355, 6184, 3187, 269, 15740, 779, 1244, 14280, 10618, 8689, 585, 519, 2749, 540, 15740, 267, 19375, 14480, 333, 267, 5143, 519, 8313, 267, 968, 2171, 798, 711, 1018, 646, 1797, 950, 646, 3081, 646, 4607, 2048, 16812, 2229, 13170, 10200, 1703, 616, 3875, 23665, 585, 713, 796, 2889, 1597, 2048, 30104, 31467, 685, 2029, 1354, 621, 666, 1831, 4641, 3034, 763, 26851, 5359, 602, 513, 22557, 2006, 609, 519, 15930, 8257, 540, 6283, 4280, 267, 968, 8005, 5795, 1864, 10479, 547, 798, 602, 18313, 15404, 330, 6368, 12943, 602, 2243, 2038, 713, 6640, 593, 12108, 563, 19723, 4472, 13170, 729, 693, 8549, 1377, 269, 12846, 513, 2603, 540, 960, 1354, 6101, 267, 2854, 13170, 267, 855, 713, 10741, 7450, 585, 1533, 1299, 2749, 5717, 563, 15404, 330, 779, 13414, 568, 21533, 1018, 6355, 6184, 3187, 729, 5143, 676, 513, 6519, 5600, 22557, 17367, 5219, 676, 519, 4972, 540, 18815, 281, 968, 2171, 723, 1185, 9621, 7391, 547, 4266, 267, 616, 8149, 547, 13710, 5989, 3785, 267, 543, 3494, 938, 6574, 3435, 723, 1419, 2097, 689, 519, 27265, 543, 5397, 540, 519, 4357, 5823, 3034, 10527, 645, 1681, 7577, 814, 1185, 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 ]
[ 8642, 5208, 538, 513, 26725, 1397, 610, 7260, 616, 711, 16613, 269, 519, 12696, 666, 2232, 873, 676, 12773, 519, 1543, 14013, 543, 3246, 21951, 21855, 1354, 519, 1397, 610, 7260, 5956, 269, 789, 666, 849, 1331, 771, 8010, 619, 610, 6835, 827, 519, 960, 781, 6663, 610, 2418, 269, 538, 930, 2665, 267, 12696, 949, 3442, 547, 4188, 610, 12575, 1978, 10207, 547, 2057, 7050, 5208, 610, 575, 648, 269, 789, 949, 849, 1683, 3606, 2200, 610, 1489, 585, 13588, 945, 949, 581, 4299, 676, 519, 1543, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 10289, 519, 5101, 3162, 6239, 16323, 540, 519, 2475, 998, 922, 3203, 267, 9177, 267, 543, 7849, 25925, 692, 296, 269, 4985, 692, 763, 5101, 3162, 6239, 3148, 540, 519, 2136, 2276, 267, 16030, 17665, 267, 17996, 267, 14967, 267, 543, 17906, 267, 19646, 513, 3638, 13795, 540, 1686, 267, 2528, 267, 1148, 267, 543, 2067, 5898, 269, 3245, 519, 12902, 15113, 540, 519, 29630, 1014, 15142, 547, 519, 13566, 24528, 540, 519, 13323, 11076, 17822, 267, 713, 1858, 3091, 8436, 3309, 2833, 602, 2992, 922, 2189, 6561, 543, 7524, 1459, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 2575, 267, 6575, 267, 543, 16837, 3255, 2139, 538, 519, 3148, 267, 609, 513, 1880, 1445, 593, 519, 2749, 540, 5682, 6807, 267, 14967, 267, 543, 922, 4276, 547, 21462, 10828, 645, 11065, 269, 3751, 269, 3414, 713, 3408, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 519, 2686, 4644, 543, 4663, 2065, 1761, 540, 519, 5101, 3162, 6239, 2829, 780, 2862, 269, 28042, 11595, 281, 634, 17510, 2897, 540, 519, 2349, 1132, 692, 288, 269, 17959, 543, 12472, 540, 519, 2349, 1132, 692, 272, 269, 9502, 543, 18567, 454, 265, 634, 21462, 568, 513, 9135, 540, 2575, 6353, 676, 922, 3929, 8515, 267, 22192, 23964, 267, 543, 9423, 18405, 267, 1419, 7231, 609, 4798, 540, 2648, 267, 2530, 267, 543, 27465, 563, 265, 18004, 856, 540, 519, 3979, 12677, 1995, 538, 519, 12213, 3162, 1282, 519, 3735, 476, 866, 628, 2540, 267, 519, 21462, 10905, 2609, 540, 3979, 7574, 5389, 267, 5289, 338, 267, 960, 8964, 267, 543, 12563, 3440, 6758, 563, 273, 269, 18647, 2349, 1132, 281, 634, 17848, 540, 621, 2353, 454, 265, 3117, 30872, 519, 9998, 1106, 540, 21462, 2575, 267, 18232, 21462, 12090, 538, 519, 14967, 18647, 3148, 267, 799, 2882, 2694, 540, 23916, 267, 17039, 267, 543, 1034, 16113, 267, 14967, 563, 265, 27505, 1359, 5159, 899, 7917, 9652, 267, 631, 28854, 27347, 267, 543, 645, 11065, 269, 3751, 5280, 3337, 519, 3280, 543, 3310, 540, 18232, 21462, 267, 22338, 519, 1259, 585, 519, 1646, 540, 4224, 1412, 333, 262, 5066, 267, 681, 261, 289, 267, 15690, 267, 543, 12048, 31022, 780, 289, 269, 645, 11065, 269, 3751, 281, 634, 3751, 540, 519, 2349, 1132, 692, 272, 269, 7216, 5020, 543, 19396, 454, 265, 18004, 681, 13704, 645, 269, 3751, 538, 4095, 7637, 267, 14967, 267, 538, 476, 4572, 276, 267, 645, 11065, 269, 3751, 3459, 1010, 7574, 3460, 13465, 538, 22258, 1781, 15077, 543, 1565, 547, 1404, 519, 13176, 563, 265, 2991, 882, 20814, 547, 6490, 874, 529, 267, 17906, 267, 538, 519, 2038, 476, 4198, 271, 338, 267, 646, 6591, 6284, 585, 1010, 10058, 13047, 2511, 543, 4075, 340, 657, 545, 13176, 4730, 267, 15980, 1864, 519, 28215, 834, 6826, 1446, 9335, 2349, 1132, 15196, 4799, 273, 269, 22684, 543, 8177, 454, 265, 2060, 513, 4876, 17364, 811, 982, 3670, 5756, 267, 645, 11065, 269, 3751, 5950, 3875, 5734, 2206, 956, 267, 1519, 834, 16248, 744, 262, 5141, 1442, 2349, 1132, 2437, 834, 9336, 4303, 594, 5620, 519, 2349, 1132, 2437, 543, 834, 763, 774, 18115, 1772, 717, 821, 4799, 265, 1261, 4607, 9118, 934, 565, 3547, 267, 1519, 476, 1428, 12896, 3240, 22952, 267, 15632, 883, 519, 9412, 543, 24305, 8065, 540, 674, 877, 267, 543, 519, 30814, 29274, 540, 15213, 563, 265, 3571, 1764, 593, 2413, 2575, 568, 1799, 29342, 9092, 267, 12018, 5481, 540, 12372, 2066, 1585, 11964, 267, 971, 607, 18238, 1849, 2194, 517, 267, 13343, 328, 26673, 3700, 267, 543, 21862, 773, 14105, 966, 2795, 534, 780, 7656, 269, 10439, 8551, 543, 8836, 14924, 7870, 692, 288, 269, 5398, 3203, 543, 3933, 3701, 692, 272, 269, 8466, 4460, 619, 543, 17341, 338, 454, 265, 10801, 519, 5101, 3162, 6239, 3148, 267, 3140, 12508, 29428, 1271, 2621, 267, 1004, 267, 543, 4025, 602, 723, 8032, 519, 4182, 781, 1686, 563, 265, 6201, 1331, 519, 645, 11065, 269, 3751, 3140, 15262, 538, 5682, 6807, 267, 14967, 267, 799, 8711, 519, 1272, 543, 10781, 540, 519, 19416, 22459, 267, 607, 1134, 607, 519, 3540, 2924, 3350, 21056, 1336, 2429, 4872, 899, 27293, 543, 27257, 267, 17665, 563, 273, 269, 12653, 1023, 543, 31493, 696, 999, 454, 265, 20079, 971, 607, 27850, 6807, 267, 17906, 282, 8402, 6807, 267, 17996, 282, 543, 27257, 267, 17665, 267, 13686, 7524, 1857, 1148, 10207, 267, 10023, 1804, 8397, 9597, 1023, 267, 18810, 267, 543, 19698, 2813, 676, 2199, 543, 3486, 5159, 563, 265, 1452, 1568, 1419, 8661, 6237, 3961, 267, 1514, 5126, 5322, 267, 543, 7499, 5647, 1247, 4946, 3308, 1719, 543, 1915, 547, 4683, 5054, 780, 289, 269, 2480, 21329, 3220, 1161, 543, 1635, 1811, 692, 272, 269, 14844, 31712, 29895, 5244, 3118, 454, 265, 1975, 8911, 476, 29900, 5195, 689, 27850, 6807, 267, 17906, 267, 547, 14844, 31712, 267, 14967, 267, 519, 14844, 31712, 29895, 5244, 3118, 3091, 5179, 1235, 513, 29271, 5397, 998, 18932, 7733, 267, 8978, 4609, 267, 543, 28677, 10034, 563, 265, 13966, 519, 8905, 267, 17631, 666, 2263, 7111, 1977, 544, 2432, 267, 24970, 31616, 24914, 267, 6406, 2782, 6370, 26753, 267, 543, 23406, 552, 831, 625, 7674, 8076, 8828, 11951, 563, 273, 269, 4279, 5211, 10003, 454, 265, 11374, 519, 22800, 14967, 5211, 689, 922, 2707, 538, 16506, 547, 922, 5023, 538, 17039, 267, 519, 4279, 5211, 10003, 10596, 998, 782, 2185, 5101, 3162, 6239, 2829, 563, 265, 13488, 619, 2059, 713, 8905, 666, 2972, 18198, 5784, 540, 519, 5757, 267, 3643, 844, 5593, 8933, 728, 2950, 267, 543, 1451, 827, 519, 3148, 781, 1950, 1686, 543, 14498, 780, 4353, 269, 2274, 15370, 543, 28046, 281, 24531, 519, 13323, 11076, 2142, 2851, 692, 288, 269, 15019, 20121, 5209, 692, 272, 269, 13323, 1744, 2803, 267, 17665, 454, 265, 28210, 593, 519, 9456, 6316, 540, 519, 13323, 11076, 267, 13323, 1744, 2803, 3091, 29814, 3043, 5070, 17822, 267, 12627, 268, 27234, 7297, 267, 543, 513, 3099, 540, 1216, 5026, 267, 971, 607, 8934, 9430, 267, 31614, 1136, 267, 543, 2620, 5498, 320, 10068, 563, 265, 6250, 6002, 666, 849, 2263, 519, 7404, 12844, 27116, 712, 2817, 13812, 25083, 267, 1753, 547, 1896, 13155, 2249, 543, 5356, 5140, 6177, 342, 10248, 3255, 563, 273, 269, 21060, 16047, 267, 17665, 454, 265, 3807, 7178, 540, 13323, 1744, 2803, 6013, 21060, 16047, 267, 1776, 2442, 11824, 10278, 1634, 585, 922, 10875, 23795, 267, 1920, 7888, 18845, 267, 543, 14297, 3781, 5158, 6429, 563, 265, 23874, 32339, 666, 2119, 741, 1688, 693, 1990, 328, 680, 1456, 267, 979, 10275, 691, 17040, 267, 610, 9683, 519, 4102, 12113, 5142, 8868, 538, 519, 14913, 693, 634, 1733, 541, 325, 9913, 8664, 563, 274, 269, 31167, 2135, 328, 267, 14967, 454, 265, 32163, 730, 593, 519, 13323, 11076, 540, 14967, 267, 31167, 2135, 328, 2934, 4190, 17822, 267, 1158, 11665, 8732, 16394, 267, 543, 513, 3638, 17535, 6561, 563, 265, 3778, 10889, 338, 666, 3643, 519, 31845, 543, 1530, 2378, 797, 12752, 7467, 267, 519, 2475, 306, 17665, 645, 25114, 1222, 17341, 5244, 267, 610, 1491, 851, 538, 11461, 19150, 3695, 519, 3148, 781, 4108, 2250, 780, 289, 269, 8278, 582, 24397, 19662, 692, 272, 269, 13812, 7348, 532, 543, 22878, 454, 265, 634, 13323, 11076, 3148, 568, 1753, 547, 606, 11606, 540, 7320, 267, 3246, 15792, 3255, 585, 2470, 12439, 547, 7747, 543, 8523, 5017, 267, 23522, 267, 4262, 16015, 267, 543, 824, 7286, 7068, 563, 265, 11153, 3906, 2709, 11461, 19150, 543, 3872, 3292, 5059, 593, 9381, 5726, 3646, 543, 3743, 3235, 582, 24397, 2853, 563, 273, 269, 4826, 11846, 543, 30482, 11242, 454, 265, 6787, 596, 4782, 21363, 593, 519, 11824, 610, 2502, 538, 19076, 13824, 1790, 18804, 9035, 267, 519, 13323, 11076, 2488, 606, 5044, 540, 3681, 5078, 585, 1169, 6492, 543, 5578, 1377, 563, 265, 10965, 1251, 9934, 267, 1085, 18866, 11362, 267, 17774, 532, 267, 1796, 5346, 31784, 24692, 267, 543, 22892, 616, 1175, 930, 540, 519, 2238, 32261, 8436, 5275, 1187, 543, 10761, 538, 519, 1390, 13964, 780, 309, 269, 10390, 692, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 16221, 2081, 538, 799, 519, 5101, 3162, 6239, 3148, 8309, 547, 519, 6626, 2686, 5251, 540, 519, 2136, 2276, 269, 29760, 5097, 593, 519, 1533, 540, 14967, 543, 922, 4296, 547, 11599, 5515, 899, 645, 11065, 269, 3751, 267, 649, 723, 8947, 519, 2956, 540, 8497, 3140, 20375, 267, 5009, 1857, 1148, 7341, 267, 543, 5807, 4264, 9235, 2994, 269, 5047, 267, 938, 7634, 883, 519, 13323, 11076, 781, 16351, 7221, 9727, 875, 10115, 538, 2825, 19642, 666, 4324, 1312, 2199, 11615, 543, 2518, 5117, 1072, 269, 1306, 5483, 4961, 543, 2104, 3401, 267, 1577, 721, 3136, 14957, 585, 8537, 543, 12581, 1569, 547, 891, 3407, 2200, 267, 4180, 602, 789, 2611, 12873, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16675, 6807, 538, 6115, 6019, 267, 14967, 2443, 634, 1977, 3162, 630, 292, 770, 3162, 6239, 994, 289, 269, 645, 269, 3751, 454, 21914, 540, 519, 2349, 1132, 454, 2735, 271, 781, 1299, 476, 1960, 271, 781, 972, 814, 1044, 1152, 835, 454, 21914, 540, 519, 2349, 1132, 563, 289, 269, 645, 269, 3751, 454, 305, 13704, 645, 269, 3751, 454, 29820, 476, 4572, 276, 4095, 7637, 267, 15516, 563, 15447, 333, 607, 834, 6826, 1446, 9335, 2349, 1132, 15196, 4840, 292, 5550, 539, 476, 1001, 276, 676, 519, 5682, 6807, 2349, 1132, 12532, 5948, 563, 12749, 923, 269, 901, 3140, 15262, 568, 7396, 538, 891, 1888, 8638, 281, 3979, 4892, 3040, 8551, 267, 16707, 267, 8535, 3040, 30007, 269, 589, 1713, 3140, 1032, 585, 713, 7127, 568, 476, 4572, 276, 563, 19613, 269, 476, 3451, 4113, 476, 2190, 269, 10619, 12664, 715, 267, 476, 11011, 4113, 476, 274, 269, 279, 5038, 12664, 654, 269, 4460, 518, 568, 538, 5682, 6807, 267, 14967, 267, 538, 6115, 6019, 269, 4460, 518, 666, 581, 6603, 689, 3162, 9546, 18133, 9335, 5087, 540, 6301, 9335, 267, 593, 519, 1318, 950, 10707, 5087, 269, 2506, 5523, 4765, 538, 519, 2427, 19769, 676, 519, 9546, 18133, 9335, 2349, 1132, 11833, 269, 25291, 585, 4786, 269, 4460, 518, 568, 693, 610, 2282, 713, 2022, 531, 2232, 281, 476, 12553, 3162, 9546, 18133, 9335, 267, 5682, 6807, 9049, 476, 4343, 278, 4905, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 6972, 3845, 540, 713, 15262, 269, 6276, 12130, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 2136, 2276, 1315, 3162, 1315, 5101, 3162, 6239, 630, 3201, 267, 918, 312, 267, 9049, 267, 570, 301, 264, 1315, 13323, 11076, 2142, 2851, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2486, 540, 3013, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 6812, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 272, 1700, 1015, 267, 476, 1001, 275, 563, 268, 645, 269, 623, 269, 6931, 553, 267, 589, 269, 962, 269, 654, 784, 267, 645, 269, 681, 269, 5576, 871, 2006, 267, 589, 269, 962, 269, 13690, 267, 543, 918, 269, 589, 269, 6154, 539, 6199, 267, 968, 21798, 15807, 9584, 585, 8650, 17537, 595, 3644, 3968, 538, 554, 643, 29795, 539, 2367, 945, 723, 3023, 609, 2367, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 4649, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 29344, 1700, 23310, 267, 476, 1001, 273, 563, 268, 717, 269, 654, 28888, 518, 267, 570, 269, 717, 4944, 517, 518, 267, 589, 269, 6601, 2102, 10045, 1696, 620, 1421, 968, 295, 788, 22807, 595, 3644, 5563, 538, 519, 2220, 1170, 7486, 20165, 1353, 281, 513, 6385, 9687, 15435, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 4649, 267, 1100, 269, 476, 1015, 267, 6032, 269, 476, 9610, 279, 1700, 15221, 277, 267, 476, 1001, 273, 563, 268, 631, 269, 667, 269, 654, 8636, 267, 661, 269, 595, 269, 1530, 629, 1120, 267, 589, 269, 11023, 559, 599, 1696, 620, 1421, 968, 18823, 1211, 17537, 595, 3644, 3968, 538, 2367, 945, 723, 3023, 609, 2367, 281, 513, 17053, 20165, 2079, 267, 476, 2735, 275, 1700, 1001, 272, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 6872, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 6507, 1700, 10019, 267, 476, 1001, 274, 563, 268, 631, 269, 808, 269, 4858, 17383, 267, 674, 269, 966, 4150, 14765, 267, 717, 269, 4446, 26369, 1696, 620, 1421, 968, 18449, 309, 1583, 27019, 11437, 1851, 2760, 2987, 915, 532, 5869, 514, 3755, 693, 15977, 281, 1100, 30661, 4857, 824, 982, 4358, 13297, 2223, 4139, 4750, 540, 10684, 8889, 267, 2019, 269, 476, 2537, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 25870, 1700, 275, 866, 267, 476, 1001, 273, 563, 268, 594, 269, 570, 269, 13879, 267, 645, 269, 623, 269, 13852, 267, 654, 269, 918, 7795, 333, 1068, 267, 543, 631, 269, 808, 269, 1325, 614, 267, 968, 18823, 2064, 543, 6771, 3270, 540, 8650, 17537, 595, 538, 519, 2136, 2276, 267, 476, 2735, 273, 1700, 1220, 277, 2223, 19964, 540, 18378, 6925, 267, 2019, 269, 476, 14378, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 26237, 1700, 27886, 267, 476, 1001, 272, 563, 268, 808, 269, 623, 269, 2725, 9807, 267, 962, 269, 631, 26710, 574, 328, 267, 681, 269, 29849, 267, 808, 269, 918, 269, 7799, 267, 589, 269, 670, 269, 22175, 7773, 267, 543, 674, 269, 700, 269, 16816, 823, 267, 968, 18128, 2064, 2861, 7459, 547, 3986, 4879, 267, 2126, 267, 543, 15984, 538, 519, 5312, 22031, 22807, 595, 1416, 27795, 2223, 4139, 4750, 540, 10684, 8889, 267, 2019, 269, 476, 2918, 267, 1100, 269, 476, 1015, 267, 6032, 269, 476, 280, 2420, 1700, 280, 3374, 267, 476, 1001, 276, 563, 268, 589, 269, 595, 269, 7720, 768, 534, 267, 590, 269, 595, 269, 23583, 267, 700, 269, 645, 269, 681, 6269, 1696, 620, 1421, 968, 15368, 5202, 4162, 543, 9019, 1851, 1004, 538, 1416, 585, 5312, 10194, 17537, 281, 519, 5312, 17537, 20165, 1353, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 6321, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 2412, 1700, 2004, 267, 476, 1001, 274, 563, 268, 962, 269, 20568, 267, 681, 269, 670, 269, 18039, 267, 962, 269, 24415, 1188, 25286, 339, 614, 267, 645, 269, 20242, 1206, 267, 543, 589, 269, 589, 269, 670, 15077, 577, 267, 968, 24066, 15070, 513, 17537, 524, 2298, 7934, 281, 14406, 3255, 585, 670, 20302, 5829, 30128, 2223, 1977, 4750, 540, 2494, 3042, 5516, 267, 2019, 269, 476, 736, 267, 1100, 269, 476, 278, 267, 6032, 269, 552, 27038, 1700, 324, 25784, 267, 476, 1001, 275, 563, 268, 744, 269, 590, 269, 10609, 758, 9618, 543, 808, 269, 670, 269, 11066, 267, 968, 3725, 3517, 1946, 2550, 7783, 609, 5312, 17537, 595, 3644, 3442, 547, 1219, 518, 2126, 281, 798, 789, 7369, 741, 3375, 609, 942, 9495, 6226, 24304, 15302, 543, 7070, 267, 2019, 269, 476, 7367, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 14138, 279, 1700, 14056, 277, 267, 476, 1220, 278, 563, 268, 590, 269, 1488, 7702, 267, 918, 269, 18897, 660, 517, 267, 717, 269, 12653, 1092, 1696, 620, 1421, 968, 11073, 3699, 540, 2126, 585, 17537, 595, 3644, 3968, 676, 3119, 1416, 7426, 2223, 1715, 4789, 4750, 540, 6925, 267, 2019, 269, 476, 3607, 275, 267, 1100, 269, 476, 2537, 267, 6032, 269, 476, 25546, 280, 1700, 13136, 278, 267, 476, 1001, 272, 563, 268, 645, 269, 570, 269, 18412, 267, 717, 269, 25661, 807, 6874, 338, 7776, 267, 543, 700, 269, 17793, 523, 30448, 267, 968, 303, 16993, 543, 30661, 540, 2126, 22612, 543, 12032, 538, 2550, 609, 5312, 17537, 595, 3644, 3968, 2223, 21111, 2776, 12401, 543, 1520, 11447, 267, 2019, 269, 476, 277, 267, 6032, 269, 476, 26326, 1700, 27768, 267, 476, 1001, 273, 563, 268, 700, 269, 700, 269, 1530, 604, 1068, 267, 681, 269, 645, 269, 3131, 2794, 841, 267, 543, 589, 269, 30277, 267, 968, 10000, 11845, 593, 17537, 595, 281, 1463, 19840, 532, 17617, 597, 1023, 2223, 2622, 4750, 540, 22031, 26331, 267, 2019, 269, 476, 278, 267, 1100, 269, 476, 2764, 267, 6032, 269, 476, 28434, 280, 1700, 27543, 274, 267, 476, 1001, 276, 563, 268, 700, 269, 4400, 2917, 2006, 267, 968, 295, 788, 22807, 595, 22107, 1228, 2090, 1397, 10616, 538, 4152, 543, 2126, 2223, 5291, 2517, 4178, 19544, 643, 663, 515, 6312, 4345, 2593, 270, 515, 6312, 4345, 2275, 270, 515, 6312, 4345, 2275, 31795, 923, 10774, 29764, 2389, 13015, 270, 5379, 280, 274, 13463, 6312, 4345, 2275, 2275, 2444, 1228, 24713, 625, 1606, 6011, 3766, 2355, 2987, 2389, 20535, 7146, 2389, 13015, 454, 268, 590, 269, 667, 269, 4591, 3088, 326, 267, 623, 269, 681, 269, 1975, 2784, 1782, 267, 589, 269, 595, 269, 7720, 768, 534, 267, 543, 631, 269, 631, 269, 667, 3317, 626, 517, 267, 968, 295, 788, 22807, 595, 538, 519, 2136, 2276, 2223, 634, 1715, 4789, 4750, 540, 6925, 267, 2019, 269, 476, 3607, 279, 267, 1100, 269, 476, 736, 267, 6032, 269, 476, 6977, 280, 1700, 5908, 272, 267, 476, 1001, 274, 563, 268, 631, 269, 18774, 731, 267, 681, 269, 590, 2931, 13001, 291, 32713, 267, 543, 808, 269, 7108, 267, 968, 295, 788, 22807, 595, 2126, 585, 13297, 3075, 3755, 281, 513, 2689, 540, 519, 2139, 2963, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 5392, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 6321, 272, 1700, 6872, 274, 267, 476, 1220, 280, 563, 268, 808, 269, 589, 269, 5651, 18115, 267, 631, 269, 1744, 6135, 3873, 267, 543, 681, 269, 654, 269, 16827, 267, 968, 21574, 13205, 547, 519, 2126, 540, 17537, 595, 281, 3461, 267, 8502, 267, 543, 1062, 2188, 2223, 4750, 540, 4937, 18378, 6925, 267, 2019, 269, 476, 736, 267, 1100, 269, 476, 279, 267, 6032, 269, 476, 4037, 275, 1700, 4037, 279, 267, 476, 1220, 276, 563, 268, 645, 269, 1234, 559, 2917, 267, 808, 269, 700, 652, 517, 267, 808, 269, 570, 269, 4414, 323, 267, 543, 681, 269, 2983, 9528, 267, 968, 299, 871, 540, 1569, 547, 2126, 607, 513, 11064, 547, 670, 20302, 9584, 281, 513, 9744, 2861, 4879, 538, 519, 4095, 1072, 3028, 2223, 4750, 540, 5398, 2657, 5004, 543, 6657, 267, 2019, 269, 476, 736, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 22213, 1700, 275, 2537, 267, 476, 1001, 275, 563, 268, 595, 269, 661, 269, 17755, 578, 534, 267, 589, 269, 3933, 529, 267, 645, 269, 681, 269, 32365, 1696, 620, 1421, 968, 288, 2518, 2070, 540, 17537, 595, 281, 10629, 1702, 267, 8369, 267, 543, 9228, 7496, 547, 1416, 2223, 22031, 26331, 267, 2019, 269, 476, 6872, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 15171, 276, 1700, 15836, 273, 267, 476, 1001, 274, 563, 268, 631, 269, 631, 269, 5771, 267, 700, 269, 5440, 335, 267, 918, 269, 631, 269, 1230, 580, 571, 557, 1696, 620, 1421, 968, 29791, 720, 883, 11285, 17537, 595, 2126, 2533, 540, 7630, 532, 3075, 3755, 11504, 513, 13549, 861, 16206, 1982, 2861, 3119, 3782, 8998, 2223, 4750, 540, 28548, 18816, 9615, 267, 2019, 269, 476, 6246, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 24496, 1700, 275, 3393, 267, 476, 1001, 273, 563, 268, 631, 269, 681, 269, 23415, 267, 594, 269, 808, 269, 3752, 578, 599, 267, 918, 269, 590, 269, 16962, 267, 681, 269, 808, 269, 681, 5366, 267, 808, 269, 670, 269, 23172, 22978, 267, 543, 589, 269, 670, 269, 22175, 7773, 267, 968, 3519, 9690, 1895, 2126, 585, 17537, 595, 281, 6388, 543, 4093, 538, 513, 8715, 611, 821, 5826, 2126, 1982, 2223, 4750, 540, 28548, 18816, 9615, 267, 2019, 269, 476, 6246, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 275, 2190, 1700, 28242, 267, 476, 1001, 273, 563, 268, 623, 269, 25362, 1375, 10458, 543, 589, 269, 670, 269, 22175, 7773, 267, 968, 9556, 1564, 540, 1416, 585, 519, 2359, 540, 17537, 595, 3644, 1851, 1004, 945, 7630, 5061, 281, 835, 2450, 1281, 711, 3514, 782, 2223, 11916, 29956, 15302, 267, 2019, 269, 476, 6872, 267, 7110, 476, 273, 267, 6032, 269, 590, 6321, 1700, 306, 8618, 267, 476, 1001, 274, 563, 268, 590, 269, 645, 269, 14208, 267, 715, 269, 5696, 7564, 340, 267, 681, 269, 4258, 2426, 1696, 620, 1421, 968, 18204, 3603, 1416, 4679, 2126, 543, 10607, 4093, 540, 2550, 609, 5312, 17537, 595, 3644, 3968, 543, 17867, 4576, 610, 6219, 6057, 2223, 11916, 30887, 10938, 1108, 543, 22031, 26331, 267, 2019, 269, 476, 1724, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 1220, 276, 1700, 1001, 275, 267, 476, 1001, 276, 563, 268, 700, 269, 17664, 16619, 267, 595, 269, 8776, 745, 749, 553, 267, 590, 269, 20144, 8932, 19789, 1696, 620, 1421, 968, 32747, 4093, 540, 17537, 595, 5701, 609, 890, 326, 2643, 730, 31785, 517, 543, 10775, 822, 597, 514, 3842, 7658, 25924, 15360, 538, 8832, 4993, 2223, 6226, 24304, 15302, 543, 7070, 267, 2019, 269, 476, 6812, 267, 1100, 269, 476, 1321, 267, 6032, 269, 476, 3607, 273, 271, 1700, 3607, 273, 276, 267, 476, 1001, 274, 563, 268, 700, 269, 16019, 267, 590, 11607, 288, 269, 12071, 12027, 267, 631, 269, 14642, 9799, 267, 2473, 269, 20568, 267, 543, 589, 269, 853, 3863, 1457, 267, 968, 18719, 1324, 1569, 547, 17537, 595, 1416, 585, 4683, 267, 9207, 5703, 2550, 1210, 513, 3119, 1416, 2861, 17537, 595, 16758, 2223, 4750, 540, 519, 2817, 6481, 5948, 267, 2019, 269, 476, 10441, 267, 1100, 269, 476, 276, 268, 277, 267, 6032, 269, 476, 28192, 1700, 7742, 267, 476, 1001, 273, 563, 268, 590, 269, 645, 269, 18858, 657, 7219, 267, 808, 269, 623, 665, 9508, 267, 595, 269, 631, 269, 19331, 5674, 1696, 620, 1421, 968, 24342, 689, 513, 32321, 5059, 267, 2146, 2861, 670, 20302, 9584, 267, 3095, 720, 3562, 13282, 543, 3461, 12445, 1982, 2223, 4750, 540, 4937, 18378, 6925, 267, 2019, 269, 476, 1789, 267, 1100, 269, 476, 278, 267, 6032, 269, 476, 31405, 1700, 4817, 278, 267, 476, 1001, 276, 563, 268, 595, 269, 595, 1195, 548, 267, 918, 269, 966, 10719, 267, 661, 269, 24806, 1696, 620, 1421, 968, 15275, 2305, 543, 3095, 720, 547, 1416, 540, 670, 20302, 29795, 539, 7606, 538, 2947, 1072, 7740, 1765, 24589, 14702, 267, 12425, 267, 476, 1001, 273, 1700, 1001, 275, 2223, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 267, 2019, 269, 476, 5038, 267, 1100, 269, 476, 1704, 267, 6032, 269, 476, 3393, 280, 1700, 5379, 274, 267, 476, 1001, 276, 563, 268, 590, 269, 2098, 641, 325, 267, 589, 269, 661, 269, 918, 516, 1067, 267, 631, 269, 674, 269, 3026, 584, 987, 267, 543, 808, 269, 27119, 321, 2401, 267, 968, 18770, 1734, 538, 17537, 595, 3797, 281, 1018, 568, 519, 1699, 1533, 1765, 6343, 2097, 781, 1985, 9495, 2622, 4750, 540, 22031, 26331, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 16928, 1700, 15704, 267, 476, 1001, 277, 563, 268, 808, 269, 631, 269, 623, 1177, 331, 1824, 5652, 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 ]
[ 5217, 609, 2504, 2755, 513, 1007, 1587, 568, 1373, 2919, 267, 1646, 5234, 543, 2504, 5234, 2170, 547, 2327, 602, 519, 1587, 568, 3302, 9092, 269, 634, 9837, 568, 547, 2327, 1970, 1942, 2504, 543, 2110, 2504, 2053, 267, 1247, 4509, 2298, 4441, 563, 2171, 4927, 8263, 602, 513, 1305, 540, 1587, 5663, 5528, 616, 3812, 267, 676, 1646, 543, 2504, 5234, 267, 607, 1142, 1007, 1587, 568, 2919, 269, 769, 1840, 547, 519, 1587, 5663, 5528, 267, 513, 1587, 2504, 1449, 8430, 568, 849, 3812, 267, 799, 11225, 519, 1585, 4255, 602, 1590, 581, 5645, 856, 950, 519, 1587, 568, 14475, 269, 1284, 4927, 2015, 713, 12319, 1305, 538, 811, 1469, 538, 2663, 4559, 269, 634, 681, 1107, 13870, 8818, 568, 4105, 268, 711, 1152, 1281, 621, 2327, 1970, 2504, 3790, 267, 855, 676, 4227, 2504, 2053, 621, 1058, 581, 2009, 547, 2333, 3977, 543, 4061, 4747, 267, 593, 513, 10865, 4493, 269, 476, 277, 269, 14502, 3344, 540, 9431, 10220, 898, 568, 513, 3656, 10421, 602, 2472, 1031, 538, 519, 3864, 7991, 1590, 16783, 609, 519, 4143, 3864, 6034, 1161, 563, 763, 681, 8257, 568, 5097, 3743, 585, 4180, 602, 713, 568, 519, 2013, 267, 855, 9972, 2359, 616, 25964, 547, 22717, 543, 5924, 7890, 5220, 585, 3978, 2665, 540, 1875, 10687, 20869, 269, 5082, 11424, 17356, 630, 4932, 290, 264, 568, 513, 2101, 7156, 950, 8888, 1007, 267, 6475, 1227, 1759, 2472, 269, 476, 278, 269, 10866, 589, 1587, 2298, 1544, 568, 3812, 585, 1007, 2472, 607, 789, 616, 2919, 267, 21246, 958, 676, 681, 543, 519, 2298, 8257, 269, 1717, 267, 952, 519, 1587, 568, 1373, 2919, 585, 606, 5007, 6075, 267, 519, 6075, 779, 2298, 8257, 1590, 849, 581, 8185, 3238, 269, 8074, 602, 519, 2298, 1544, 25282, 538, 14966, 609, 5007, 5561, 666, 723, 3978, 5010, 29298, 268, 971, 607, 30849, 7947, 2157, 585, 2472, 9447, 547, 519, 6075, 563, 763, 2298, 1544, 949, 1450, 519, 6075, 547, 2132, 513, 2898, 16801, 540, 2472, 607, 513, 1267, 540, 513, 1507, 1297, 540, 5439, 17528, 519, 6075, 779, 2298, 4255, 269, 476, 279, 269, 681, 4972, 18378, 12856, 634, 2816, 10643, 538, 519, 4886, 4972, 616, 7396, 2630, 18737, 476, 272, 269, 4886, 15440, 476, 273, 269, 7913, 18065, 5071, 23910, 476, 274, 269, 1323, 531, 4084, 18065, 5071, 23910, 476, 275, 269, 4400, 5426, 12229, 23910, 476, 276, 269, 8899, 5426, 12229, 23910, 476, 277, 269, 20996, 5071, 23910, 476, 278, 269, 3353, 6509, 630, 9288, 22817, 264, 476, 279, 269, 3353, 6509, 630, 16978, 16361, 264, 1323, 1383, 540, 513, 2816, 6609, 538, 519, 1646, 8257, 568, 7396, 538, 519, 1985, 3296, 269, 1496, 30679, 316, 476, 280, 269, 7913, 18065, 5071, 23910, 16763, 13517, 13786, 1043, 547, 1107, 4886, 15440, 12729, 10020, 1107, 7913, 11418, 1374, 454, 13553, 776, 10020, 1107, 1323, 531, 4084, 547, 3059, 7679, 5217, 14502, 5578, 5036, 2838, 282, 7167, 762, 540, 8888, 3059, 11387, 693, 519, 4909, 1377, 269, 7167, 762, 540, 7679, 5217, 1063, 3059, 543, 1387, 4084, 1949, 543, 11387, 269, 19361, 640, 609, 661, 10157, 6042, 543, 519, 1764, 540, 661, 10157, 593, 5547, 543, 9102, 5547, 4604, 630, 15425, 289, 264, 1374, 269, 7179, 539, 5547, 4604, 1374, 269, 25417, 5578, 5036, 2838, 282, 4515, 17087, 538, 1210, 3059, 1374, 21957, 3301, 15004, 269, 4515, 17087, 538, 1210, 20111, 3301, 1374, 15004, 269, 19884, 5578, 5036, 2838, 8682, 30070, 11300, 6153, 1966, 6061, 1983, 6153, 10618, 1983, 6153, 1582, 2359, 1983, 7167, 762, 540, 2324, 538, 513, 2319, 1604, 4937, 16763, 6609, 912, 763, 3059, 1374, 11653, 568, 4397, 547, 581, 2111, 547, 1374, 3059, 11387, 547, 2743, 9138, 4170, 693, 519, 4909, 1377, 1210, 8800, 6609, 4654, 1141, 3617, 269, 28611, 1062, 543, 5547, 6272, 786, 581, 24019, 676, 2679, 6268, 3631, 1991, 547, 519, 18634, 3942, 269, 634, 3059, 1374, 8030, 786, 581, 3743, 585, 4570, 908, 519, 6272, 789, 723, 3812, 1247, 2324, 5702, 609, 1949, 8030, 267, 1387, 4084, 8030, 543, 23390, 538, 519, 15418, 1184, 269, 634, 3059, 1374, 11653, 786, 849, 581, 4397, 547, 1374, 20111, 338, 267, 689, 28176, 7001, 267, 998, 547, 11768, 543, 2694, 4214, 3092, 269, 11088, 519, 3059, 1374, 8030, 786, 960, 5702, 609, 824, 2818, 540, 519, 681, 2319, 547, 6218, 543, 19472, 20111, 338, 693, 4604, 543, 1062, 1377, 563, 763, 1374, 11653, 568, 2838, 547, 1374, 585, 661, 10157, 693, 1312, 519, 5547, 543, 20111, 1377, 269, 1323, 1271, 2460, 540, 519, 3059, 14704, 779, 2238, 568, 519, 2504, 540, 2312, 543, 13801, 12319, 607, 519, 1646, 540, 1142, 1007, 1587, 22264, 269, 26859, 547, 519, 13870, 4972, 568, 849, 606, 1898, 1374, 11653, 779, 1909, 267, 799, 519, 14704, 786, 581, 4397, 547, 1683, 607, 2838, 269, 7053, 519, 14704, 1590, 581, 2111, 547, 11753, 609, 513, 1507, 2319, 267, 8858, 1164, 2157, 540, 5876, 543, 1966, 6061, 1983, 543, 4865, 1434, 2792, 1983, 269, 12830, 8074, 281, 7913, 1374, 8030, 949, 581, 4280, 547, 22738, 824, 5107, 593, 513, 10151, 4493, 1058, 519, 991, 8451, 543, 952, 4280, 676, 741, 9614, 547, 798, 865, 563, 9616, 602, 661, 5085, 7472, 513, 13006, 6609, 540, 519, 1646, 8257, 2147, 547, 602, 4330, 538, 713, 1770, 269, 667, 8085, 2705, 12346, 593, 2262, 540, 5023, 543, 11913, 968, 3698, 20532, 5608, 799, 540, 1576, 1689, 3592, 1554, 676, 1554, 543, 4096, 8185, 593, 519, 1268, 11589, 873, 269, 22682, 10747, 519, 1599, 540, 519, 681, 8257, 543, 922, 4835, 2497, 2636, 519, 4835, 2359, 540, 519, 1646, 8257, 547, 581, 3989, 269, 901, 568, 3226, 3407, 547, 9241, 12912, 9946, 269, 769, 1840, 267, 782, 519, 5234, 538, 519, 1646, 8257, 723, 13006, 2816, 6609, 602, 2636, 873, 547, 811, 4628, 1174, 741, 1909, 538, 519, 2754, 543, 1018, 2359, 26770, 689, 873, 563, 26139, 267, 713, 1360, 3730, 547, 1007, 9441, 950, 789, 6443, 519, 2754, 269, 8074, 602, 10747, 519, 10342, 540, 681, 2337, 538, 10747, 519, 2359, 1184, 269, 901, 1281, 711, 1611, 602, 2359, 786, 581, 5645, 856, 3927, 267, 855, 922, 513, 1376, 269, 589, 2816, 9043, 585, 1142, 540, 519, 2816, 2010, 538, 519, 1646, 8257, 630, 663, 824, 13623, 264, 1131, 581, 3812, 543, 13006, 269, 1284, 723, 1031, 519, 8360, 968, 514, 4156, 2359, 892, 538, 713, 1770, 269, 1284, 723, 711, 2943, 2808, 875, 519, 1646, 812, 3455, 568, 4397, 547, 2170, 609, 824, 9946, 543, 10986, 538, 519, 2754, 269, 901, 786, 581, 606, 5571, 6249, 538, 519, 14230, 540, 519, 4559, 538, 713, 9074, 269, 476, 1015, 269, 5004, 12983, 454, 9377, 1456, 519, 3252, 540, 513, 8257, 543, 3246, 2816, 8847, 540, 10986, 5665, 538, 621, 948, 547, 5581, 519, 4835, 2359, 540, 519, 8257, 269, 10572, 9021, 616, 5693, 3989, 855, 2359, 786, 2141, 15395, 519, 1318, 547, 2307, 10986, 547, 4163, 856, 4247, 3544, 741, 2816, 8847, 267, 1058, 519, 991, 8451, 269, 27814, 713, 1058, 1152, 581, 538, 8966, 6381, 543, 581, 6905, 936, 2110, 5712, 540, 942, 269, 634, 1249, 602, 519, 8257, 10342, 543, 2816, 8847, 616, 9138, 2636, 1312, 519, 9614, 543, 519, 7307, 547, 917, 1018, 519, 2754, 26770, 540, 873, 543, 1058, 948, 782, 6105, 538, 8876, 856, 741, 5107, 269, 1284, 723, 4330, 519, 3510, 538, 661, 5085, 267, 799, 786, 948, 519, 9241, 12912, 9614, 540, 681, 14320, 950, 1352, 3217, 909, 1200, 1007, 13393, 563, 1103, 1840, 547, 2348, 3989, 1949, 519, 1007, 9614, 568, 2016, 606, 15632, 950, 1352, 6238, 1200, 2816, 799, 2636, 1200, 547, 2743, 1200, 5234, 267, 824, 9946, 538, 519, 2754, 543, 849, 2818, 540, 519, 4604, 269, 5221, 3889, 616, 3989, 543, 1898, 1344, 568, 2139, 593, 519, 2754, 703, 3757, 564, 267, 1352, 6238, 547, 1745, 693, 1753, 3533, 543, 1281, 711, 723, 547, 3479, 1804, 5666, 540, 1344, 547, 3965, 269, 1717, 267, 519, 3510, 538, 667, 8085, 568, 10169, 1114, 268, 972, 616, 1100, 6101, 1949, 543, 6101, 2816, 8847, 798, 711, 2291, 267, 18867, 950, 519, 1007, 812, 3455, 540, 681, 3217, 5604, 646, 1281, 711, 723, 513, 2312, 2856, 540, 519, 8257, 531, 3252, 543, 646, 814, 547, 3479, 513, 2603, 540, 1344, 547, 3965, 269, 634, 15632, 1184, 693, 667, 8085, 568, 711, 1360, 2500, 543, 538, 1880, 519, 9241, 12912, 9614, 568, 711, 5189, 547, 4604, 2818, 563, 763, 812, 3455, 540, 681, 538, 667, 8085, 7959, 11552, 6470, 827, 23072, 1010, 1007, 1909, 269, 8074, 972, 568, 1761, 4655, 1063, 930, 540, 519, 5107, 543, 3252, 681, 1683, 281, 585, 1383, 3246, 1489, 585, 1587, 5826, 568, 2693, 547, 32692, 609, 1587, 1646, 269, 634, 1761, 2530, 540, 4747, 538, 519, 2110, 2165, 5176, 2141, 3217, 9551, 775, 936, 5420, 547, 1279, 2165, 2238, 269, 1717, 267, 681, 616, 24565, 5631, 593, 741, 2702, 547, 1020, 3811, 1007, 2472, 543, 616, 25864, 20295, 585, 519, 942, 789, 6108, 593, 1018, 568, 585, 873, 513, 6281, 2534, 269, 16763, 13517, 1107, 15051, 15440, 4658, 609, 519, 2816, 2140, 15051, 15440, 3335, 2887, 883, 835, 540, 519, 1739, 9796, 306, 7051, 3044, 23909, 269, 4937, 543, 15051, 2494, 6162, 1107, 4643, 267, 1463, 267, 610, 11282, 519, 4238, 540, 3549, 610, 1857, 543, 4357, 5823, 3906, 269, 667, 583, 625, 543, 9021, 1331, 1106, 6819, 4507, 267, 5883, 3232, 4238, 267, 543, 4058, 519, 946, 540, 2326, 543, 1480, 2200, 267, 855, 616, 1932, 3309, 543, 2489, 538, 2470, 547, 581, 9286, 538, 1022, 835, 6198, 1858, 540, 2359, 610, 7245, 267, 971, 607, 10986, 267, 11449, 267, 610, 11889, 2533, 269, 22291, 5411, 543, 9946, 945, 2212, 1507, 1870, 24284, 4171, 11645, 616, 5097, 31707, 269, 7790, 11631, 1496, 30679, 316, 26581, 7434, 13870, 2494, 6162, 268, 23945, 267, 1463, 267, 610, 11282, 519, 960, 2238, 543, 2200, 2556, 585, 5663, 887, 2265, 338, 538, 13076, 609, 1942, 267, 2298, 267, 543, 7274, 16551, 269, 7790, 11631, 19554, 543, 17392, 2494, 6162, 268, 23945, 267, 1463, 267, 543, 11282, 519, 4859, 543, 3892, 4238, 1369, 606, 3919, 610, 519, 2238, 540, 3906, 602, 616, 7722, 538, 13936, 543, 26084, 2326, 543, 2472, 269, 7790, 11631, 8342, 1968, 6034, 832, 6261, 518, 845, 1585, 4247, 547, 6582, 543, 1463, 24133, 2533, 267, 971, 607, 25640, 6283, 540, 1560, 547, 6180, 4231, 585, 2377, 531, 2719, 267, 5967, 532, 1920, 610, 824, 17101, 1268, 547, 6582, 3877, 267, 8939, 23080, 2041, 31600, 267, 22876, 1005, 4013, 585, 3909, 32537, 267, 543, 3246, 6283, 585, 22378, 2996, 269, 7790, 11631, 2494, 6162, 267, 2353, 4033, 5025, 961, 9946, 711, 7396, 14384, 269, 8779, 6480, 574, 2209, 6261, 516, 6768, 1942, 9193, 585, 1587, 5663, 267, 4070, 3785, 267, 610, 2533, 547, 5351, 2359, 538, 536, 27570, 593, 610, 8159, 3902, 540, 1587, 610, 3028, 269, 2904, 20647, 2687, 547, 1880, 3028, 5340, 610, 1826, 540, 1587, 14475, 269, 7790, 11631, 8891, 15950, 19296, 5937, 5271, 1047, 2409, 547, 2087, 3282, 543, 3154, 1134, 2504, 543, 3313, 519, 991, 585, 1007, 610, 9168, 1907, 6272, 269, 744, 2091, 324, 17656, 543, 2709, 2930, 5796, 547, 3035, 22237, 543, 25685, 3356, 269, 7790, 11631, 14502, 6034, 832, 270, 10048, 6162, 15801, 15453, 2238, 540, 2930, 13623, 267, 971, 607, 7148, 532, 267, 11049, 267, 4702, 267, 543, 5826, 267, 547, 3132, 5925, 610, 8613, 3292, 269, 7790, 11631, 16340, 4751, 3353, 5974, 4149, 564, 909, 267, 7500, 267, 543, 2226, 519, 5907, 3937, 1031, 547, 10141, 5925, 543, 8613, 3292, 563, 6944, 1503, 8301, 3937, 547, 10038, 4320, 1377, 543, 2298, 540, 3280, 1282, 5925, 543, 8613, 13739, 338, 269, 7358, 622, 5925, 31092, 547, 13739, 5925, 543, 8613, 3292, 269, 11120, 1006, 15051, 15440, 9502, 7201, 2489, 4287, 267, 21314, 519, 2238, 540, 519, 11120, 1006, 20491, 10406, 547, 2327, 3608, 11889, 267, 1870, 267, 543, 3959, 2359, 3252, 585, 519, 8836, 8551, 4741, 267, 23076, 267, 4975, 962, 731, 543, 6239, 7896, 1599, 282, 543, 15824, 1644, 960, 607, 2838, 269, 31692, 5109, 18567, 634, 11120, 1006, 15051, 15440, 568, 13747, 689, 519, 4937, 7896, 10615, 538, 602, 519, 11120, 1006, 15051, 15440, 1281, 711, 723, 17611, 976, 2225, 585, 519, 3003, 4972, 267, 543, 568, 13747, 689, 2539, 1377, 19217, 832, 538, 602, 519, 19217, 832, 798, 711, 723, 11889, 5539, 936, 513, 6498, 540, 519, 8257, 269, 4518, 568, 5340, 1369, 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 ]
[ 14370, 333, 2173, 264, 18092, 630, 333, 317, 273, 1341, 16354, 264, 1315, 630, 333, 317, 273, 910, 16354, 2020, 7712, 562, 285, 332, 267, 7941, 1169, 2165, 538, 28758, 645, 676, 544, 1384, 332, 14370, 333, 2173, 264, 2608, 562, 14370, 332, 264, 18092, 562, 1315, 630, 333, 2173, 2020, 3086, 5635, 519, 4611, 7215, 269, 8074, 602, 562, 317, 273, 568, 2141, 3152, 982, 4642, 543, 3976, 2531, 7149, 519, 22791, 333, 332, 264, 2165, 29691, 28758, 589, 781, 19362, 269, 5015, 267, 2094, 562, 285, 332, 267, 28758, 589, 781, 14009, 568, 849, 14553, 3677, 982, 28758, 645, 781, 269, 9182, 267, 28758, 589, 20546, 525, 28758, 645, 896, 519, 9138, 2175, 267, 3056, 721, 547, 2824, 4781, 630, 320, 2567, 28758, 589, 3436, 28758, 645, 780, 6962, 692, 22913, 532, 11050, 6476, 2553, 7569, 2259, 267, 18094, 267, 543, 4806, 6284, 269, 1306, 7152, 2429, 713, 3184, 267, 16042, 891, 2010, 540, 2055, 19329, 513, 4396, 5748, 538, 15821, 3741, 5916, 609, 7580, 3206, 269, 3958, 267, 1620, 4296, 1063, 9583, 19635, 6310, 21437, 11942, 4514, 8223, 543, 13916, 2066, 3309, 1966, 5036, 269, 16792, 891, 21941, 547, 24321, 7041, 10240, 9094, 6015, 267, 8992, 2565, 3206, 5759, 267, 543, 6038, 10597, 2949, 2773, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 5441, 16721, 454, 268, 5530, 10341, 454, 268, 19396, 1299, 8033, 5224, 3798, 454, 268, 6732, 4804, 454, 268, 9906, 5020, 454, 268, 5530, 2806, 5802, 454, 268, 9906, 6828, 1744, 719, 719, 454, 268, 26257, 538, 4804, 454, 268, 11773, 901, 12054, 6856, 454, 268, 30451, 10435, 606, 8177, 454, 268, 4065, 5240, 454, 1692, 547, 17546, 11879, 15154, 547, 5441, 4841, 454, 22512, 518, 18169, 585, 4569, 26440, 4181, 454, 3963, 1772, 2296, 6270, 513, 6153, 11683, 888, 26524, 1411, 10261, 547, 9105, 538, 27240, 3427, 19877, 338, 454, 276, 11683, 12983, 538, 4065, 4653, 454, 9989, 2060, 9526, 532, 3245, 513, 4147, 6733, 14068, 888, 1432, 14992, 1684, 1975, 976, 832, 4721, 585, 9906, 20492, 888, 16605, 909, 609, 519, 5767, 538, 1565, 267, 811, 547, 1451, 563, 1432, 6496, 5917, 20814, 585, 4841, 6399, 607, 606, 3447, 1807, 888, 763, 10020, 540, 8262, 4578, 538, 4065, 454, 1432, 1411, 10261, 547, 5700, 6168, 13241, 32233, 15789, 454, 277, 7454, 2296, 22175, 23958, 15789, 454, 23763, 513, 3232, 4757, 540, 3992, 4566, 602, 12732, 782, 5396, 543, 2085, 2516, 888, 20428, 338, 782, 5396, 782, 5396, 519, 6575, 782, 519, 6575, 3308, 6575, 7900, 6575, 1871, 540, 519, 6575, 1394, 1870, 1299, 9297, 782, 1870, 1299, 9297, 2518, 9297, 12550, 31754, 8020, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23797, 5511, 18948, 9828, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 24321, 630, 24836, 9958, 16680, 22410, 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, 9741, 19378, 729, 2141, 19832, 676, 519, 8949, 9329, 540, 28448, 19323, 2250, 1845, 3649, 1111, 532, 998, 1010, 8378, 1169, 6640, 269, 1261, 6068, 8384, 1010, 7023, 267, 11427, 269, 22823, 267, 3575, 5820, 543, 2981, 873, 883, 17175, 13000, 269, 2290, 1554, 267, 19378, 4280, 1200, 267, 834, 300, 3464, 269, 22823, 267, 875, 798, 596, 1118, 971, 26345, 533, 625, 8119, 1677, 713, 267, 1352, 14452, 609, 513, 12837, 267, 834, 289, 1136, 568, 1312, 606, 1148, 543, 513, 2257, 267, 19378, 256, 898, 3340, 8856, 267, 9639, 267, 543, 6612, 1701, 901, 17275, 513, 7279, 538, 19378, 267, 543, 4166, 2614, 267, 646, 4956, 547, 1831, 513, 536, 6033, 5128, 2439, 4002, 11728, 267, 13723, 267, 543, 11016, 267, 19378, 1131, 29367, 9054, 611, 14859, 543, 5965, 32727, 696, 1190, 11945, 533, 625, 267, 11423, 741, 1753, 609, 5023, 22476, 12906, 553, 269, 1717, 267, 13638, 543, 13628, 941, 11603, 585, 1776, 5172, 1107, 22269, 533, 625, 269, 3962, 1554, 267, 646, 5402, 6027, 856, 5820, 543, 4553, 10346, 267, 4180, 1142, 2650, 1185, 3501, 10366, 543, 5812, 2164, 269, 1306, 646, 4797, 11256, 267, 1945, 15116, 9575, 1010, 3007, 282, 19378, 7691, 646, 1500, 811, 11945, 533, 625, 982, 22269, 533, 625, 936, 519, 1576, 540, 513, 3018, 269, 1809, 875, 1454, 811, 4010, 2496, 10501, 6685, 3893, 519, 1732, 540, 1864, 267, 865, 19378, 795, 582, 1540, 1524, 4967, 827, 875, 1082, 533, 625, 646, 1500, 3232, 543, 7229, 519, 12353, 9103, 1023, 269, 2060, 10761, 267, 646, 3838, 1010, 4681, 609, 1010, 3237, 1282, 12129, 267, 6031, 267, 834, 296, 1336, 856, 594, 27106, 476, 3607, 13212, 533, 625, 538, 513, 3018, 1247, 1152, 1818, 476, 2190, 22269, 533, 625, 10590, 3571, 4651, 15527, 24617, 267, 834, 6546, 781, 4277, 267, 5067, 269, 1411, 666, 1589, 540, 621, 607, 1412, 20625, 533, 625, 1205, 1079, 3063, 2395, 3379, 547, 10027, 1845, 9538, 257, 11569, 267, 950, 9236, 519, 1614, 2395, 8655, 547, 11945, 533, 625, 8957, 519, 1079, 2016, 547, 22269, 533, 625, 267, 519, 2601, 2968, 3833, 10423, 780, 9617, 1287, 267, 12624, 7186, 14281, 3025, 609, 606, 6397, 6777, 6420, 267, 8720, 519, 4884, 538, 6986, 3043, 29198, 269, 4256, 1379, 4682, 856, 1813, 547, 519, 7088, 267, 24401, 4979, 782, 519, 4829, 2877, 585, 11256, 269, 22582, 267, 2370, 19378, 5185, 513, 14196, 269, 9453, 13212, 610, 10027, 1845, 267, 1018, 2186, 540, 533, 625, 1223, 646, 7654, 1711, 286, 14484, 532, 593, 1010, 16012, 2648, 585, 11256, 543, 1620, 540, 922, 3621, 3344, 267, 19378, 5462, 569, 1767, 267, 834, 11039, 267, 649, 1869, 723, 7912, 267, 4006, 267, 7423, 267, 5798, 267, 543, 5876, 269, 2913, 781, 6427, 938, 1360, 1378, 23566, 26629, 11600, 2221, 15323, 2026, 789, 18705, 891, 5499, 533, 625, 1927, 267, 519, 1920, 4121, 3407, 4245, 3564, 2757, 11256, 2553, 269, 1358, 4362, 2081, 547, 3082, 950, 5185, 609, 20437, 6381, 543, 17947, 27906, 5314, 607, 851, 540, 519, 1184, 12544, 2629, 5578, 10858, 2484, 3564, 2250, 787, 6575, 269, 6884, 267, 1256, 950, 1919, 1810, 1405, 2490, 856, 607, 9709, 267, 6397, 23538, 1291, 721, 547, 2189, 8906, 543, 2208, 3255, 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, 17556, 557, 814, 4956, 547, 1831, 513, 536, 6033, 269, 2201, 631, 1180, 904, 267, 11205, 5886, 17058, 543, 2605, 12156, 267, 646, 536, 1389, 11945, 533, 625, 269, 2201, 570, 1132, 17058, 543, 774, 2720, 17058, 267, 646, 536, 1389, 22269, 533, 625, 269, 1403, 646, 536, 1389, 476, 1321, 533, 625, 829, 1554, 267, 875, 1082, 811, 11945, 533, 625, 1281, 646, 27106, 982, 22269, 533, 625, 538, 835, 3018, 888, 17556, 557, 536, 1389, 11945, 533, 625, 593, 631, 1180, 904, 267, 11205, 5886, 17058, 267, 543, 2605, 12156, 267, 799, 568, 513, 2698, 540, 476, 274, 2395, 563, 3891, 536, 1389, 22269, 533, 625, 593, 570, 1132, 17058, 543, 774, 2720, 17058, 267, 799, 568, 513, 2698, 540, 476, 273, 2395, 563, 1103, 835, 3018, 267, 972, 616, 476, 278, 2395, 563, 3383, 267, 19378, 536, 1389, 476, 1321, 1535, 476, 274, 815, 476, 3607, 11945, 533, 625, 538, 513, 3018, 563, 4517, 646, 536, 1389, 476, 1321, 1535, 476, 273, 815, 476, 2190, 22269, 533, 625, 538, 513, 3018, 563, 11997, 267, 646, 536, 1389, 476, 3607, 910, 476, 2190, 815, 476, 1321, 811, 11945, 533, 625, 982, 22269, 533, 625, 538, 835, 3018, 563, 2971, 476, 1321, 454, 763, 2626, 568, 281, 476, 1321, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2878, 6637, 476, 277, 281, 9549, 21069, 1436, 4373, 5331, 596, 616, 4730, 513, 3014, 609, 707, 2828, 269, 2368, 540, 596, 1616, 547, 1404, 13558, 1247, 1866, 4782, 14912, 269, 1411, 782, 723, 1114, 8369, 827, 1018, 3014, 547, 1404, 267, 855, 5555, 267, 596, 2097, 909, 609, 513, 3070, 602, 2306, 3025, 6126, 910, 2921, 7140, 4730, 1142, 824, 781, 5172, 3756, 269, 901, 1523, 1568, 13974, 950, 621, 2501, 547, 1818, 3664, 538, 938, 2229, 256, 8080, 1394, 547, 11572, 3163, 1362, 1141, 649, 786, 1451, 875, 2797, 6105, 960, 1927, 547, 2099, 4961, 899, 596, 269, 4653, 267, 1577, 721, 2263, 5428, 26445, 1369, 519, 15424, 7936, 540, 519, 2136, 2276, 2229, 780, 30995, 1432, 1281, 9549, 21069, 1436, 1611, 286, 1262, 22177, 2691, 1004, 2911, 827, 2608, 4820, 344, 26445, 24682, 789, 3277, 547, 2797, 6105, 2348, 1360, 3982, 5784, 543, 7158, 593, 1585, 2152, 269, 898, 568, 2186, 540, 899, 1346, 18312, 8369, 1851, 707, 1895, 540, 2828, 936, 7446, 1063, 13558, 543, 14912, 1107, 1152, 1631, 4952, 952, 891, 22195, 5949, 1282, 1271, 3375, 6194, 3157, 7133, 6634, 540, 4892, 256, 3683, 942, 267, 1312, 2101, 2475, 2797, 6105, 1107, 24273, 543, 25743, 1107, 723, 6738, 5051, 11397, 689, 1142, 824, 1361, 10999, 267, 3056, 547, 15398, 9840, 267, 7470, 6674, 267, 543, 3006, 1256, 26106, 655, 622, 538, 8429, 4031, 780, 30995, 1692, 1705, 1919, 1031, 547, 581, 286, 1262, 22177, 12988, 538, 519, 1554, 267, 2818, 540, 6837, 1419, 5249, 2066, 5428, 3515, 267, 2495, 13222, 689, 15852, 6105, 1131, 12840, 543, 14207, 593, 9086, 5103, 741, 3604, 269, 16514, 873, 9361, 1524, 1927, 267, 23730, 3435, 267, 7234, 4123, 32187, 267, 1175, 899, 596, 1522, 21907, 609, 707, 16254, 936, 945, 4991, 1852, 540, 519, 7641, 6552, 269, 1358, 6956, 602, 4466, 1455, 2666, 729, 2629, 585, 3001, 4464, 543, 7674, 519, 2115, 540, 741, 23466, 780, 30995, 3383, 1946, 814, 972, 1044, 971, 513, 6521, 2509, 2799, 26445, 2221, 286, 1262, 22177, 2467, 3884, 1405, 835, 2582, 2601, 3297, 3395, 5428, 26445, 282, 3079, 267, 1896, 2188, 3565, 547, 713, 7678, 1384, 272, 269, 2878, 16446, 626, 878, 1154, 4995, 5272, 4557, 1296, 267, 2829, 2699, 3863, 21146, 13102, 1759, 593, 8242, 2551, 1239, 6394, 998, 18594, 4926, 269, 6884, 267, 8664, 6302, 1205, 26203, 21825, 547, 3870, 835, 5428, 936, 1776, 267, 2870, 865, 10777, 1412, 338, 12522, 16295, 9538, 1306, 513, 1267, 267, 10457, 8204, 891, 2127, 4043, 547, 3180, 3665, 16752, 23695, 9003, 547, 741, 3490, 2864, 982, 13267, 547, 6626, 9458, 780, 273, 269, 2878, 22958, 2456, 4995, 6969, 2489, 12836, 267, 10805, 17037, 2824, 9930, 710, 525, 585, 741, 9757, 6105, 3842, 3119, 12836, 269, 1452, 733, 3949, 2356, 4482, 6131, 18793, 8066, 2178, 8369, 269, 9182, 267, 15645, 919, 20916, 2509, 536, 760, 691, 529, 15201, 949, 6560, 1996, 811, 9097, 17837, 20483, 676, 10069, 1242, 15628, 780, 274, 269, 2878, 300, 4215, 4995, 2060, 9118, 3377, 19093, 2139, 2221, 267, 2043, 666, 8532, 1344, 26936, 609, 741, 4978, 3362, 269, 8564, 633, 4598, 547, 1808, 2923, 9055, 25040, 840, 25365, 8456, 543, 11097, 839, 15523, 1063, 2516, 20170, 547, 17804, 6386, 780, 275, 269, 2878, 290, 2086, 5218, 8804, 6963, 4995, 14559, 4249, 513, 1713, 1909, 538, 2413, 6214, 269, 32100, 344, 22881, 543, 2027, 1719, 2516, 1419, 2508, 11044, 5009, 1880, 989, 31789, 267, 8716, 14761, 547, 9772, 14461, 1796, 9557, 4250, 532, 9561, 2883, 25380, 1898, 585, 556, 324, 3005, 780, 30995, 3674, 9549, 21069, 1436, 6153, 610, 14068, 286, 1262, 22177, 11039, 267, 899, 1082, 3344, 540, 1272, 267, 5428, 26445, 11438, 1312, 5383, 543, 11393, 269, 2201, 519, 2318, 2427, 267, 2312, 21441, 948, 17037, 1174, 1141, 10457, 1796, 593, 2565, 6927, 267, 3850, 873, 547, 1118, 5483, 5079, 1759, 593, 3838, 2418, 269, 1717, 267, 7050, 6551, 7190, 666, 1291, 547, 13720, 1049, 6214, 267, 7303, 16268, 19929, 2556, 585, 2500, 10350, 780, 265, 13914, 827, 621, 17041, 14348, 333, 1405, 621, 581, 8799, 952, 1169, 4759, 540, 6837, 8815, 593, 3388, 286, 17610, 256, 1809, 1287, 1586, 267, 4763, 540, 2219, 8992, 2635, 5717, 4611, 538, 1134, 25454, 4507, 10452, 9867, 5380, 269, 4475, 267, 11495, 513, 3666, 1063, 9316, 543, 24235, 3788, 4105, 585, 4509, 513, 6198, 9111, 780, 14945, 3086, 602, 596, 917, 811, 827, 5428, 26445, 267, 1589, 9691, 827, 2436, 621, 2640, 2486, 610, 12042, 619, 3356, 269, 5457, 267, 1620, 1950, 2035, 3340, 2259, 267, 865, 1832, 3695, 3584, 899, 713, 2429, 707, 3872, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5649, 22812, 1613, 519, 1739, 2200, 585, 713, 2534, 912, 268, 30930, 281, 3848, 476, 278, 267, 476, 279, 454, 268, 29358, 540, 476, 272, 14046, 2707, 630, 514, 1840, 547, 519, 1837, 994, 22873, 658, 5403, 27491, 454, 28097, 519, 3604, 543, 10486, 1063, 519, 16232, 543, 25931, 1949, 267, 1519, 519, 10324, 543, 15424, 8371, 269, 6904, 1062, 798, 596, 1745, 5713, 922, 12504, 1732, 286, 4208, 286, 2422, 2963, 630, 322, 924, 2959, 264, 547, 1489, 707, 3210, 689, 8655, 13220, 610, 2228, 4245, 267, 543, 693, 2547, 835, 3544, 14046, 2707, 563, 10287, 268, 10000, 5403, 27491, 454, 25215, 1180, 547, 693, 2547, 1079, 9905, 610, 835, 9263, 543, 519, 14357, 269, 4329, 519, 5188, 676, 3246, 811, 1344, 543, 27792, 269, 29358, 540, 476, 272, 14046, 2707, 799, 666, 1331, 707, 1837, 610, 8655, 13220, 610, 949, 581, 689, 707, 3606, 14046, 1382, 563, 268, 29358, 540, 476, 274, 9708, 630, 272, 3355, 1299, 476, 273, 1246, 5346, 994, 268, 29358, 540, 476, 273, 2959, 11855, 630, 817, 11220, 13220, 270, 26020, 4245, 543, 606, 3544, 14046, 2707, 994, 268, 14905, 3898, 585, 538, 17856, 14327, 543, 1592, 540, 8100, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8512, 344, 21069, 1436, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 1977, 6554, 1315, 22694, 894, 25032, 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, 278, 281, 634, 5020, 543, 3718, 540, 20900, 26990, 612, 910, 589, 3703, 16520, 21419, 692, 7072, 912, 2304, 628, 3415, 26990, 612, 267, 4535, 3627, 20900, 26990, 612, 14355, 538, 476, 4489, 278, 267, 729, 513, 7986, 3703, 2278, 4171, 1568, 838, 10165, 1585, 11964, 1519, 5708, 267, 15923, 267, 543, 12416, 269, 3571, 1272, 267, 1454, 899, 1010, 12591, 267, 8272, 549, 1042, 1082, 18125, 540, 3703, 2528, 543, 1686, 2429, 519, 31341, 6681, 5756, 540, 519, 14206, 2540, 269, 901, 3184, 12538, 883, 519, 1272, 540, 713, 7415, 5339, 4137, 267, 3695, 875, 1010, 909, 32523, 267, 2069, 267, 2123, 2833, 267, 543, 7214, 18697, 8032, 1010, 2189, 9423, 5639, 543, 21044, 840, 21232, 725, 269, 5015, 267, 621, 9691, 12116, 930, 540, 1010, 1034, 1713, 1568, 1369, 741, 3140, 2796, 1247, 10223, 4143, 4296, 547, 4207, 2686, 27964, 780, 296, 269, 7216, 5020, 543, 4065, 454, 288, 269, 7731, 17461, 543, 4813, 894, 13012, 454, 29820, 538, 25480, 267, 4789, 267, 26990, 612, 8057, 909, 538, 513, 16434, 7622, 1141, 646, 2919, 606, 2038, 1719, 538, 3332, 267, 2575, 267, 543, 4654, 1813, 7361, 547, 1010, 3993, 781, 3310, 269, 1306, 513, 1126, 267, 646, 28815, 1896, 911, 30864, 971, 607, 519, 2530, 540, 1010, 11078, 950, 646, 729, 1079, 1296, 2025, 543, 24931, 546, 13023, 750, 807, 693, 2085, 8370, 799, 2451, 1864, 17303, 18555, 269, 1452, 2621, 24903, 5483, 1010, 2663, 29293, 540, 9019, 267, 7092, 267, 543, 1480, 6043, 538, 1010, 6386, 780, 289, 269, 28042, 9751, 543, 23008, 2065, 4354, 6685, 454, 5475, 11264, 6281, 1153, 267, 26990, 612, 13984, 2473, 11232, 1014, 5441, 538, 25480, 1141, 646, 6594, 5824, 543, 5259, 27825, 7258, 7574, 5888, 896, 519, 4691, 601, 720, 540, 21917, 29527, 18409, 1442, 269, 8535, 1131, 2611, 513, 15400, 6612, 585, 26990, 612, 543, 1404, 513, 2629, 1909, 538, 5935, 1010, 7499, 2283, 4850, 269, 6684, 267, 1010, 15334, 538, 2789, 4654, 1107, 3226, 3943, 267, 4436, 267, 7969, 267, 543, 6739, 1107, 4847, 1864, 547, 4497, 7184, 609, 3864, 3332, 543, 6138, 267, 2417, 23429, 1010, 2239, 23477, 780, 2862, 269, 19396, 543, 11683, 3718, 454, 288, 269, 16505, 10843, 11773, 281, 834, 288, 1849, 1442, 1740, 21060, 4840, 308, 526, 16040, 26990, 612, 781, 3172, 636, 1566, 639, 267, 834, 288, 1849, 1442, 1740, 21060, 2437, 3788, 835, 540, 519, 1034, 11786, 2943, 9565, 9089, 538, 2022, 8705, 3703, 3332, 269, 5590, 538, 513, 29711, 1014, 2104, 6628, 267, 519, 1433, 5205, 5981, 267, 513, 18295, 14228, 6205, 945, 25457, 8097, 5626, 14555, 1310, 1373, 23948, 730, 585, 10795, 10963, 269, 3414, 922, 5499, 946, 540, 715, 6758, 520, 267, 513, 9112, 6107, 27325, 16471, 2296, 267, 23577, 545, 267, 543, 595, 1442, 2284, 6586, 2719, 27325, 267, 519, 3209, 20502, 26990, 612, 781, 17117, 540, 10409, 5647, 543, 16994, 5813, 883, 6848, 9178, 780, 289, 269, 10289, 20616, 6181, 9313, 281, 834, 763, 7043, 4303, 654, 6951, 281, 589, 5689, 18885, 2558, 559, 9609, 4840, 4467, 19828, 1614, 954, 15062, 539, 9089, 1107, 834, 11742, 1280, 589, 26286, 2437, 834, 763, 2037, 5519, 769, 634, 2349, 1678, 564, 2437, 543, 834, 289, 2644, 769, 634, 5101, 257, 1107, 26990, 612, 781, 5689, 18885, 959, 559, 9609, 3091, 513, 13857, 24575, 540, 17111, 1282, 519, 1000, 559, 697, 1296, 540, 3703, 7810, 4341, 269, 14301, 2390, 1010, 1378, 2833, 2713, 538, 5689, 11535, 630, 852, 17111, 1070, 891, 2835, 4983, 4798, 540, 11440, 7771, 267, 3444, 14426, 13341, 267, 543, 3961, 5250, 1996, 519, 20457, 540, 2797, 31285, 543, 1514, 1689, 780, 290, 269, 4033, 31838, 3718, 454, 9961, 1010, 4876, 267, 26990, 612, 3812, 3875, 824, 8037, 1568, 602, 15549, 3007, 269, 7324, 560, 891, 616, 834, 763, 654, 13589, 23268, 2437, 513, 30237, 673, 6514, 540, 936, 28134, 543, 5837, 23979, 1305, 1996, 519, 20457, 540, 513, 2282, 1922, 1956, 4789, 282, 834, 11900, 728, 6004, 269, 661, 837, 2421, 2437, 519, 1101, 3888, 618, 538, 513, 3126, 540, 13371, 9089, 10704, 1472, 519, 3134, 11345, 10564, 3491, 339, 6782, 626, 282, 543, 834, 24618, 569, 25024, 2437, 513, 30832, 1782, 12473, 5750, 532, 519, 2729, 540, 1079, 2828, 1303, 22931, 538, 519, 10848, 540, 4984, 267, 6214, 267, 543, 14920, 2066, 5722, 5756, 780, 7656, 269, 25827, 623, 2720, 7057, 543, 3203, 2065, 13898, 454, 288, 269, 12056, 609, 7073, 640, 543, 5403, 19640, 640, 454, 3080, 3112, 1865, 26990, 612, 781, 522, 324, 12320, 516, 1510, 14344, 1010, 6278, 609, 29678, 543, 2022, 19640, 640, 269, 10705, 21679, 609, 2055, 4478, 8103, 781, 1747, 538, 606, 5051, 2964, 1242, 1158, 267, 1010, 6386, 7866, 1312, 4160, 2509, 6639, 11144, 543, 22906, 609, 922, 1761, 6286, 780, 289, 269, 18366, 9737, 5131, 4024, 543, 10318, 24452, 454, 23338, 547, 26990, 612, 781, 10952, 19773, 568, 519, 8082, 1063, 1863, 786, 543, 15002, 1143, 269, 16992, 538, 1010, 2984, 1419, 1265, 2933, 1671, 333, 1563, 676, 4229, 3564, 741, 1852, 267, 20872, 16650, 16839, 602, 4161, 6671, 13919, 543, 7881, 269, 1635, 11093, 2043, 1369, 3665, 6381, 267, 26990, 612, 20217, 3988, 547, 2992, 2390, 519, 2470, 540, 3903, 543, 5539, 780, 4353, 269, 10390, 281, 25684, 4653, 454, 8601, 2348, 5293, 2476, 538, 476, 1960, 274, 267, 26990, 612, 781, 9371, 5170, 547, 13469, 1379, 2685, 1369, 4207, 2686, 9840, 269, 3245, 5571, 5717, 3823, 5841, 4987, 543, 6915, 996, 923, 547, 556, 24834, 15070, 7810, 23543, 543, 15819, 3964, 8155, 267, 972, 6818, 15792, 2963, 11021, 602, 26990, 612, 781, 960, 25601, 10083, 2221, 269, 11569, 267, 1010, 26772, 7029, 547, 23827, 908, 6848, 14908, 5713, 607, 513, 15266, 547, 1010, 11972, 4644, 1369, 3703, 5022, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 3036, 301, 281, 476, 4489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30673, 16176, 24248, 5859, 538, 519, 18230, 32595, 1282, 1614, 6777, 12405, 616, 3254, 2676, 663, 630, 274, 264, 4485, 547, 23074, 6777, 6724, 607, 1134, 607, 16198, 609, 538, 1606, 15856, 6777, 7403, 616, 5941, 269, 0, 310, 23808, 5058, 307, 2177, 630, 290, 301, 264, 2443, 14506, 540, 1857, 6644, 814, 2760, 1044, 513, 5812, 6249, 540, 519, 10966, 7040, 2066, 811, 982, 1079, 5553, 540, 922, 6228, 267, 855, 519, 13451, 540, 513, 8908, 6644, 602, 1131, 936, 22364, 681, 4141, 642, 269, 654, 1228, 814, 1082, 2909, 1027, 585, 513, 4129, 542, 609, 1100, 30675, 563, 19284, 6837, 610, 519, 7022, 267, 519, 10966, 7040, 12346, 593, 1857, 3972, 547, 17997, 922, 5947, 902, 855, 602, 3085, 1406, 1611, 782, 922, 5947, 902, 723, 2141, 1044, 2442, 269, 2311, 1114, 2798, 538, 922, 1686, 267, 519, 5480, 814, 1312, 4646, 1857, 6644, 543, 1044, 8032, 676, 621, 563, 10527, 5480, 1312, 5012, 543, 5205, 2223, 19291, 18039, 267, 513, 13747, 32082, 693, 31869, 1326, 1144, 4521, 267, 1767, 538, 513, 6049, 5967, 269, 968, 2171, 4076, 2938, 713, 936, 519, 5480, 1686, 1141, 267, 585, 930, 5712, 540, 942, 267, 621, 3580, 581, 856, 540, 5348, 322, 609, 1857, 5784, 855, 1287, 621, 6038, 29598, 909, 2901, 1317, 621, 29598, 909, 609, 519, 1857, 610, 1317, 621, 2337, 1106, 519, 8369, 540, 519, 1857, 3034, 12648, 9466, 642, 269, 8274, 540, 4065, 267, 585, 1383, 269, 769, 9466, 267, 519, 1175, 1182, 796, 29434, 3585, 936, 337, 27968, 623, 1652, 344, 642, 269, 674, 31867, 517, 267, 799, 3656, 1242, 5302, 27935, 1857, 6703, 543, 1305, 538, 5163, 13343, 18844, 4031, 269, 634, 5480, 779, 15194, 729, 6619, 540, 922, 942, 267, 3226, 585, 519, 3162, 267, 1141, 5610, 729, 711, 1152, 5706, 539, 855, 30739, 1219, 1221, 269, 901, 729, 1034, 2312, 950, 519, 23916, 2817, 15050, 13986, 547, 2061, 4563, 1053, 689, 11504, 513, 9741, 9412, 1164, 1153, 267, 4611, 538, 5518, 29276, 327, 1077, 11766, 532, 5313, 10136, 547, 26603, 677, 8370, 1053, 2443, 1634, 607, 519, 9741, 9412, 27607, 2443, 883, 519, 2679, 563, 4407, 972, 729, 7899, 540, 4187, 547, 9466, 267, 519, 2197, 6038, 6410, 538, 519, 5480, 779, 4287, 269, 634, 15194, 14626, 3660, 609, 519, 4098, 540, 519, 3540, 2924, 3350, 269, 8307, 513, 1032, 1310, 9466, 729, 4956, 267, 28266, 20088, 685, 30671, 547, 2285, 909, 1200, 10160, 593, 606, 17665, 1668, 17275, 519, 27293, 1668, 7911, 22574, 269, 14210, 1296, 1310, 519, 15194, 267, 519, 2197, 1131, 1780, 519, 6406, 7126, 2920, 563, 14881, 1589, 621, 779, 4023, 547, 2161, 602, 538, 1082, 2081, 519, 5480, 5280, 3391, 519, 4182, 883, 513, 1114, 942, 538, 799, 17478, 729, 15653, 543, 538, 799, 13343, 18844, 729, 12199, 10363, 543, 519, 2197, 6410, 538, 513, 811, 7471, 4287, 2223, 18039, 1767, 563, 3519, 14287, 267, 538, 519, 476, 4350, 271, 338, 519, 15061, 5354, 593, 519, 5480, 12199, 602, 1082, 540, 5518, 15284, 667, 269, 17619, 779, 1715, 20958, 3292, 543, 3785, 6322, 693, 5009, 2804, 6051, 1282, 519, 4279, 12870, 941, 796, 6247, 6627, 269, 901, 8507, 538, 17619, 6236, 4946, 1175, 1182, 547, 519, 5480, 269, 634, 2856, 729, 10300, 1540, 609, 519, 4583, 968, 1873, 3558, 538, 942, 602, 10710, 8370, 892, 950, 10456, 32139, 21662, 17146, 5011, 538, 4639, 11076, 23392, 642, 269, 623, 1551, 880, 267, 30176, 519, 11156, 1275, 540, 1533, 5934, 13230, 9086, 543, 7303, 17619, 689, 4946, 1175, 1182, 547, 519, 5480, 563, 1103, 1169, 2013, 1141, 519, 5480, 779, 5947, 902, 723, 11651, 3022, 689, 1857, 6644, 267, 519, 1175, 1182, 2901, 6952, 909, 609, 519, 2197, 610, 519, 2197, 29598, 909, 609, 519, 1175, 1182, 563, 17606, 779, 711, 585, 519, 5480, 547, 1175, 3589, 1141, 519, 1857, 568, 2443, 519, 5480, 267, 1310, 782, 267, 568, 16208, 519, 9139, 543, 7311, 519, 1876, 2223, 18039, 1767, 269, 968, 3719, 621, 1281, 865, 538, 513, 1259, 602, 2337, 3337, 519, 1857, 6643, 269, 27603, 267, 649, 1589, 519, 5480, 666, 1406, 581, 856, 540, 5348, 322, 609, 519, 1857, 585, 1022, 1390, 3259, 540, 942, 610, 621, 5956, 547, 6336, 26117, 3034, 6546, 949, 711, 581, 519, 2013, 952, 519, 1175, 1182, 936, 22364, 681, 4141, 8015, 1135, 1782, 602, 2982, 1034, 4892, 1489, 519, 1318, 547, 16377, 269, 769, 782, 519, 3140, 2665, 4966, 723, 6594, 267, 950, 1857, 6644, 11651, 2471, 689, 519, 5480, 779, 5947, 902, 267, 519, 1175, 1182, 941, 7863, 2924, 3079, 540, 2921, 873, 2476, 269, 1403, 681, 4141, 729, 936, 337, 27968, 267, 607, 568, 519, 5354, 779, 8247, 267, 2687, 547, 513, 8908, 6644, 682, 8898, 4505, 713, 3923, 267, 519, 5480, 1131, 581, 11324, 4193, 513, 1318, 519, 1857, 814, 2097, 547, 2503, 585, 519, 2063, 476, 2004, 1296, 563, 22154, 568, 519, 1101, 942, 1141, 621, 779, 2469, 547, 979, 538, 519, 6587, 4287, 2443, 1141, 519, 5480, 1131, 581, 1225, 339, 9430, 1367, 2924, 2443, 810, 649, 1810, 1406, 723, 513, 31387, 585, 602, 2223, 18039, 1767, 269, 968, 2252, 519, 5480, 6411, 538, 971, 513, 1259, 602, 568, 3544, 1018, 5526, 547, 581, 513, 2312, 5354, 540, 519, 2197, 267, 547, 2149, 2924, 602, 2291, 543, 519, 5480, 13333, 547, 1225, 18571, 1346, 2924, 267, 649, 1810, 1406, 723, 513, 31387, 585, 875, 602, 786, 1860, 519, 5480, 779, 26117, 269, 1809, 594, 1589, 972, 779, 1169, 2601, 547, 1589, 602, 621, 786, 723, 513, 2101, 2942, 1198, 593, 519, 5480, 779, 26117, 3034, 4407, 519, 1175, 1182, 723, 1044, 2111, 547, 15378, 1857, 6644, 593, 2152, 1354, 873, 538, 3105, 2665, 267, 519, 682, 8898, 8908, 6644, 3947, 873, 3152, 5813, 982, 2479, 1354, 269, 2290, 3018, 1310, 519, 8908, 729, 682, 8898, 267, 513, 3542, 1336, 602, 476, 5038, 260, 540, 4892, 798, 711, 1589, 681, 4141, 642, 269, 654, 1228, 1058, 581, 16765, 29354, 2443, 513, 1297, 593, 1612, 609, 5619, 2944, 538, 476, 1708, 271, 676, 519, 918, 9820, 518, 7731, 7690, 269, 634, 1857, 814, 2760, 1044, 2111, 547, 2070, 513, 8908, 6644, 689, 519, 5480, 865, 621, 568, 15458, 875, 1454, 519, 3803, 15194, 1223, 1689, 689, 1018, 814, 2907, 1044, 4080, 267, 855, 1394, 31988, 814, 1044, 2679, 20406, 2094, 519, 8908, 15194, 682, 8898, 269, 769, 3210, 547, 2527, 17600, 936, 519, 682, 8898, 8908, 267, 519, 5480, 25517, 606, 476, 279, 20356, 20545, 1472, 922, 15943, 563, 18455, 693, 12918, 609, 1857, 6644, 1131, 2097, 693, 513, 3226, 3348, 13895, 942, 585, 519, 5480, 779, 26117, 269, 3807, 1182, 29484, 717, 832, 1276, 267, 6601, 1777, 918, 24170, 2795, 543, 25138, 595, 2292, 4446, 21884, 782, 5219, 547, 681, 4141, 607, 12306, 1876, 1282, 741, 21533, 5873, 902, 267, 855, 1631, 789, 782, 2408, 4712, 547, 936, 22364, 621, 269, 1703, 568, 849, 513, 14692, 936, 519, 20499, 540, 717, 832, 1276, 543, 4446, 21884, 1317, 27737, 631, 3558, 5062, 3519, 24274, 5129, 13338, 2182, 4252, 547, 2327, 5518, 18496, 11686, 17956, 1614, 1175, 1182, 593, 519, 14541, 269, 5062, 3519, 24274, 4371, 3735, 10456, 4165, 13908, 2480, 26515, 779, 10160, 1930, 693, 519, 1439, 540, 5518, 15525, 779, 2165, 19101, 621, 729, 1932, 2673, 547, 519, 9550, 547, 6966, 513, 1007, 5126, 269, 3973, 267, 693, 519, 1439, 540, 5518, 11686, 779, 2165, 267, 5062, 3519, 24274, 32357, 519, 21533, 540, 4446, 21884, 563, 2108, 292, 2416, 649, 1810, 1406, 6166, 1175, 1182, 693, 519, 1439, 540, 519, 7022, 779, 2165, 610, 649, 798, 269, 1656, 952, 649, 798, 267, 1287, 5518, 15525, 1058, 723, 1044, 2111, 547, 6966, 8585, 4459, 12275, 1633, 269, 2107, 649, 1810, 1406, 267, 538, 799, 2013, 5518, 11686, 1058, 723, 1044, 2111, 547, 6966, 10456, 4446, 21884, 2223, 18039, 1767, 269, 968, 763, 4999, 540, 519, 1079, 1797, 972, 1281, 2408, 547, 581, 606, 3063, 4550, 31547, 267, 605, 3734, 8917, 593, 519, 5480, 269, 1656, 952, 713, 2013, 12798, 909, 1373, 476, 276, 268, 275, 267, 602, 779, 513, 7168, 2565, 8917, 3034, 10214, 1354, 519, 1175, 1182, 723, 1500, 741, 4013, 15194, 267, 1857, 6015, 538, 873, 568, 2907, 530, 22135, 269, 589, 2904, 715, 11266, 18025, 7034, 5240, 295, 712, 270, 11321, 626, 2817, 15724, 1336, 602, 476, 6321, 260, 540, 4892, 2161, 789, 723, 2370, 610, 1100, 6015, 693, 782, 538, 519, 10966, 7040, 563, 299, 20235, 4966, 2161, 16765, 9506, 681, 4141, 12662, 519, 5480, 538, 17946, 14975, 7297, 609, 1100, 3140, 2796, 602, 1223, 3589, 1018, 519, 4539, 540, 513, 3375, 899, 713, 1223, 581, 585, 519, 9872, 563, 22154, 568, 519, 1101, 942, 538, 799, 519, 8142, 602, 596, 666, 10250, 782, 519, 1259, 1394, 547, 519, 9139, 267, 799, 568, 513, 7678, 540, 7444, 855, 9846, 2810, 2924, 2443, 2924, 1373, 9450, 547, 3979, 4892, 267, 2924, 1373, 9450, 547, 2021, 267, 2924, 1373, 9450, 1287, 547, 1004, 540, 2681, 811, 3622, 267, 547, 1004, 7488, 540, 3084, 5169, 267, 547, 1004, 609, 2463, 547, 9124, 267, 547, 1004, 609, 2463, 547, 4638, 10066, 2223, 18039, 1767, 269, 968, 2791, 723, 513, 3500, 855, 11931, 7269, 540, 1346, 945, 616, 6870, 676, 519, 3914, 540, 519, 1876, 543, 513, 3500, 543, 11931, 7269, 540, 1367, 2924, 602, 616, 6444, 676, 519, 1876, 269, 901, 568, 519, 1101, 942, 596, 3580, 723, 513, 2101, 19432, 540, 1346, 2924, 538, 519, 3068, 540, 513, 1857, 2070, 547, 519, 14669, 1848, 0, 2171, 782, 917, 602, 22942, 532, 14914, 538, 519, 10120, 1974, 568, 26101, 1107, 1134, 267, 621, 779, 26101, 538, 1022, 1974, 267, 2097, 547, 602, 269, 594, 1616, 547, 917, 4010, 950, 14914, 4303, 8593, 538, 476, 16928, 275, 269, 1809, 798, 782, 519, 15931, 12641, 9233, 4609, 3858, 286, 715, 2100, 269, 1358, 2161, 789, 2285, 596, 519, 2953, 4266, 267, 855, 835, 540, 873, 1185, 6410, 621, 547, 513, 11728, 267, 476, 1789, 628, 4728, 267, 799, 729, 8197, 6825, 607, 513, 11728, 593, 741, 1378, 11706, 256, 14914, 10732, 593, 513, 631, 2177, 31165, 888, 2414, 581, 2352, 267, 1079, 824, 4609, 2220, 792, 9420, 602, 476, 1789, 628, 4728, 729, 8197, 513, 10732, 267, 14914, 10732, 267, 547, 581, 5730, 269, 1924, 621, 782, 5673, 799, 11706, 596, 1224, 563, 10190, 1776, 3135, 10294, 602, 14914, 4303, 538, 476, 16928, 275, 8593, 593, 476, 866, 628, 4989, 563, 3383, 594, 6854, 3168, 267, 543, 513, 2417, 3135, 9863, 519, 3803, 12450, 585, 803, 269, 594, 7948, 1406, 1118, 2212, 6862, 2766, 540, 621, 2336, 2108, 16634, 2252, 16452, 779, 22733, 1554, 540, 4989, 9551, 525, 14914, 267, 1152, 476, 16928, 275, 1568, 856, 607, 513, 2009, 968, 2419, 29694, 1014, 892, 1032, 547, 12314, 609, 519, 31145, 269, 634, 9855, 10301, 2407, 593, 13628, 267, 4989, 476, 1626, 693, 476, 275, 269, 4510, 533, 6230, 1421, 543, 14914, 5205, 593, 10732, 267, 4989, 476, 866, 269, 590, 10176, 1495, 661, 529, 1676, 13187, 267, 3833, 14384, 689, 9270, 899, 891, 540, 18477, 6753, 267, 585, 519, 31145, 4266, 540, 14349, 267, 4989, 476, 1240, 267, 476, 16928, 275, 267, 593, 519, 4493, 540, 968, 534, 31498, 600, 540, 3140, 267, 14336, 5566, 543, 4230, 25233, 1344, 267, 782, 540, 799, 729, 6157, 1634, 547, 932, 29694, 892, 12462, 293, 3306, 1306, 1051, 892, 476, 4391, 1040, 3571, 1957, 12765, 19843, 519, 1459, 1957, 269, 7498, 2108, 16634, 2467, 3788, 519, 1966, 609, 713, 476, 16928, 275, 4266, 602, 519, 9855, 568, 711, 9308, 538, 8644, 571, 610, 1256, 267, 607, 2943, 267, 538, 519, 6607, 630, 10472, 568, 1141, 6601, 320, 729, 4636, 282, 646, 729, 711, 4636, 827, 519, 1875, 268, 770, 25233, 968, 9418, 892, 9855, 1040, 2201, 4989, 476, 1240, 519, 9855, 9782, 1134, 1310, 4158, 267, 676, 476, 275, 533, 6230, 269, 1373, 2907, 538, 32371, 8636, 23581, 476, 277, 334, 3147, 1800, 547, 661, 529, 1676, 779, 9273, 2507, 3034, 4517, 865, 593, 543, 865, 593, 269, 772, 332, 267, 20994, 267, 621, 779, 782, 6742, 1014, 547, 803, 269, 1809, 798, 782, 519, 18164, 1913, 827, 519, 798, 902, 540, 519, 30723, 2965, 1611, 1018, 789, 2161, 568, 476, 1911, 260, 22973, 286, 667, 732, 594, 8399, 593, 519, 13429, 602, 476, 866, 628, 4989, 568, 9090, 519, 4266, 540, 14914, 4303, 538, 476, 16928, 275, 888, 11039, 267, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 291, 19302, 519, 960, 281, 12694, 543, 3435, 547, 16565, 1893, 543, 4081, 7924, 585, 15730, 2296, 1893, 6267, 454, 8601, 519, 3395, 6848, 4656, 540, 519, 991, 585, 7459, 543, 3292, 547, 2333, 7924, 2157, 540, 10708, 267, 2069, 14519, 543, 1153, 6963, 619, 723, 6140, 15763, 519, 2115, 540, 519, 1804, 543, 3395, 2296, 1893, 15226, 630, 21822, 264, 2551, 269, 9282, 2487, 5359, 723, 5280, 547, 1445, 3007, 593, 519, 15730, 7924, 6433, 267, 789, 2709, 1360, 2370, 5583, 593, 875, 1655, 547, 2743, 519, 9867, 543, 4101, 7924, 2115, 540, 15730, 661, 17247, 338, 269, 769, 12303, 1169, 851, 540, 519, 2197, 267, 1647, 543, 1164, 3506, 616, 1631, 7487, 9750, 18934, 906, 540, 1053, 4171, 3119, 1893, 568, 711, 2296, 269, 29547, 2338, 540, 11082, 267, 824, 15295, 3466, 267, 543, 519, 7569, 540, 606, 5051, 2518, 4346, 1118, 621, 2312, 602, 519, 4182, 666, 1100, 3476, 6488, 547, 11716, 519, 10296, 2115, 540, 519, 661, 17247, 338, 538, 922, 1647, 543, 1164, 3506, 945, 616, 10010, 609, 2542, 267, 1603, 267, 543, 5711, 11407, 538, 513, 1007, 1893, 269, 4014, 1082, 2994, 585, 5885, 7924, 538, 5065, 2296, 10529, 616, 10858, 547, 15730, 661, 17247, 338, 267, 972, 616, 1713, 3604, 538, 519, 1259, 602, 3811, 7924, 7459, 585, 519, 8545, 1895, 1058, 581, 2966, 543, 8045, 269, 1452, 3604, 723, 3978, 6286, 585, 3610, 267, 14292, 3401, 267, 6437, 9858, 267, 16984, 267, 543, 14519, 693, 782, 2157, 540, 2229, 269, 5047, 267, 1317, 15730, 661, 17247, 338, 616, 513, 3309, 1895, 540, 6267, 538, 2474, 540, 741, 3872, 10080, 267, 5065, 1893, 7924, 267, 14227, 4567, 267, 543, 811, 267, 930, 2994, 786, 960, 585, 1978, 661, 17247, 338, 855, 711, 585, 1866, 269, 898, 1058, 581, 6956, 602, 15730, 661, 17247, 338, 616, 2034, 1893, 6267, 945, 616, 1869, 3384, 741, 15334, 538, 4081, 2296, 269, 5047, 267, 789, 616, 1565, 2296, 693, 519, 1482, 942, 789, 616, 4974, 4295, 1543, 2127, 998, 2296, 269, 4935, 267, 2296, 1893, 6267, 1590, 1685, 5595, 519, 960, 540, 5065, 2296, 10529, 538, 519, 2197, 779, 1647, 543, 1164, 3506, 269, 1656, 267, 693, 519, 1482, 942, 267, 789, 616, 1373, 4371, 547, 519, 1482, 12477, 4441, 607, 741, 5065, 2296, 18702, 9905, 269, 1677, 3142, 519, 2152, 543, 2591, 29270, 15730, 661, 17247, 338, 883, 20501, 1445, 267, 519, 4741, 585, 11930, 23008, 2524, 630, 290, 3201, 1070, 2324, 593, 15773, 540, 31257, 15278, 540, 1715, 3840, 267, 7036, 539, 513, 8470, 540, 3173, 267, 14519, 267, 543, 9439, 2324, 538, 519, 2361, 547, 2709, 741, 6791, 630, 5408, 1592, 538, 25715, 589, 1040, 763, 8470, 8815, 547, 513, 1445, 593, 4081, 7924, 267, 602, 799, 568, 1034, 2629, 585, 1967, 538, 1153, 267, 543, 3989, 519, 2165, 538, 519, 1739, 1259, 281, 22291, 2542, 267, 1603, 267, 543, 5711, 11407, 585, 1153, 3040, 966, 2456, 689, 1641, 547, 1641, 3040, 10671, 2231, 1702, 540, 2789, 11964, 540, 1257, 267, 5301, 585, 1257, 946, 267, 543, 1257, 2923, 3040, 1772, 6766, 676, 1053, 685, 2148, 9313, 538, 8658, 3544, 540, 1153, 3040, 1772, 6766, 676, 1053, 685, 2123, 267, 1514, 267, 543, 2686, 2833, 634, 8470, 4857, 3670, 2101, 2591, 547, 5355, 519, 7924, 540, 661, 17247, 338, 281, 3040, 19768, 540, 1455, 7355, 585, 7114, 661, 17247, 338, 543, 9477, 741, 4081, 2773, 3040, 19768, 540, 3617, 10526, 3040, 769, 1228, 12930, 19829, 4390, 585, 5355, 7924, 538, 661, 17247, 338, 3040, 19768, 540, 3617, 543, 8465, 1982, 3681, 3040, 769, 1228, 12930, 946, 540, 1382, 2861, 14292, 2853, 3040, 19768, 540, 513, 2178, 543, 17396, 1382, 16786, 827, 15730, 661, 17247, 7924, 4438, 519, 1576, 540, 519, 1788, 267, 595, 3201, 3173, 12649, 519, 3332, 593, 15730, 661, 17247, 7924, 543, 5342, 3135, 11564, 547, 1614, 9621, 3292, 269, 769, 1840, 267, 513, 1016, 24713, 344, 729, 20827, 689, 3173, 693, 519, 24779, 8889, 4659, 547, 2445, 543, 5659, 3407, 1344, 593, 519, 15295, 3466, 543, 4081, 9740, 540, 661, 17247, 338, 269, 2311, 519, 3932, 540, 519, 1184, 267, 519, 8470, 5227, 606, 5044, 540, 1114, 2994, 585, 1147, 25236, 532, 519, 3670, 2591, 676, 1818, 2242, 538, 1554, 3562, 6377, 3450, 2853, 267, 3318, 2866, 267, 1382, 267, 543, 3872, 3609, 269, 1306, 513, 1267, 267, 1142, 968, 577, 718, 3188, 892, 3296, 538, 519, 1560, 540, 713, 1867, 568, 4553, 676, 606, 3573, 968, 13607, 1113, 3435, 892, 4901, 269, 2060, 519, 1507, 855, 3395, 1382, 3490, 593, 519, 1655, 2853, 585, 3384, 15730, 661, 17247, 7924, 4742, 811, 4922, 22412, 730, 998, 2799, 5188, 1851, 7855, 267, 3173, 267, 543, 14519, 267, 519, 1318, 2994, 585, 4543, 891, 1053, 12492, 741, 2407, 1761, 616, 1373, 5462, 269, 1280, 1383, 267, 14519, 1058, 2015, 519, 1739, 281, 3040, 570, 697, 2287, 519, 4540, 4214, 540, 17290, 2296, 4515, 17087, 630, 4041, 303, 264, 543, 5449, 700, 7968, 1053, 538, 7170, 8633, 540, 519, 3143, 4132, 19382, 19992, 2920, 630, 10998, 299, 289, 264, 547, 2327, 602, 2829, 946, 9838, 7355, 547, 1374, 622, 700, 7968, 1053, 543, 547, 3313, 799, 1053, 616, 547, 581, 2808, 12071, 550, 2296, 4515, 17087, 630, 293, 7968, 264, 3040, 15043, 1007, 543, 4824, 10526, 540, 519, 15730, 661, 17247, 338, 685, 5065, 1893, 5759, 267, 2296, 1893, 1646, 267, 543, 1543, 1702, 1565, 3040, 17553, 513, 3084, 4116, 2069, 3609, 547, 2327, 782, 4116, 10457, 1451, 827, 2034, 1893, 543, 7924, 11601, 267, 2542, 2066, 519, 1543, 2127, 267, 543, 1352, 2741, 1229, 6044, 543, 26613, 2409, 3040, 17797, 532, 1153, 12477, 3800, 896, 12135, 299, 289, 547, 2057, 10336, 1944, 13102, 543, 3506, 602, 1450, 661, 17247, 1053, 547, 1491, 811, 982, 519, 2757, 476, 275, 1296, 547, 2347, 1164, 1153, 6707, 18964, 519, 946, 540, 8810, 543, 9621, 6044, 585, 661, 17247, 338, 538, 3506, 3040, 8750, 532, 543, 10647, 811, 2110, 268, 543, 1279, 3856, 1382, 593, 1007, 543, 4540, 7459, 543, 3292, 267, 543, 593, 519, 4081, 2773, 540, 891, 15730, 661, 17247, 338, 4014, 519, 1761, 3435, 538, 713, 1867, 616, 711, 29882, 267, 789, 616, 5921, 547, 1683, 513, 3280, 4358, 1448, 585, 1732, 5466, 519, 2115, 540, 661, 17247, 338, 538, 519, 4182, 779, 3506, 269, 5047, 267, 676, 4543, 661, 17247, 338, 1451, 543, 1685, 811, 3927, 538, 1153, 267, 3013, 779, 3872, 1062, 543, 2486, 607, 513, 2898, 786, 581, 22541, 543, 23353, 269, 0, 288, 6519, 7788, 10586, 454, 4467, 29232, 676, 667, 650, 1014, 23583, 454, 763, 2776, 7304, 777, 3873, 601, 2572, 4749, 13269, 519, 7788, 10586, 267, 1419, 10053, 609, 6698, 267, 855, 540, 519, 2757, 6698, 667, 14397, 28792, 17664, 31899, 814, 6074, 547, 1965, 3832, 342, 782, 855, 1079, 1765, 331, 25788, 543, 513, 3043, 798, 557, 269, 28792, 11438, 513, 2241, 6565, 540, 561, 25788, 267, 13288, 547, 519, 19454, 540, 519, 7910, 267, 543, 561, 25788, 30164, 513, 2699, 16304, 267, 9838, 547, 519, 835, 519, 7910, 25918, 619, 538, 17664, 31899, 779, 634, 21756, 3125, 540, 6307, 630, 307, 622, 20155, 267, 715, 271, 4366, 7761, 1070, 13556, 1472, 519, 1482, 942, 269, 634, 798, 557, 540, 519, 10513, 26415, 814, 2095, 333, 538, 998, 519, 1930, 6885, 607, 952, 676, 4960, 543, 814, 519, 544, 1573, 19583, 540, 519, 8258, 540, 513, 10300, 334, 1472, 922, 2212, 563, 305, 1601, 31899, 814, 7006, 10234, 609, 782, 1710, 2044, 269, 19992, 519, 7910, 568, 513, 10750, 4544, 16304, 267, 2864, 982, 519, 2757, 12308, 540, 22632, 269, 28792, 267, 21039, 538, 513, 2241, 3043, 6521, 267, 814, 1100, 12209, 281, 519, 1152, 16315, 602, 646, 568, 606, 21425, 568, 519, 25861, 16657, 1472, 1010, 2212, 630, 3147, 1800, 547, 17664, 31899, 5128, 2048, 320, 575, 2830, 10487, 1356, 685, 6902, 12049, 17507, 476, 1220, 273, 281, 476, 25248, 1700, 3066, 264, 543, 519, 1507, 26428, 31300, 1359, 1657, 513, 7535, 540, 1769, 799, 1489, 1010, 23197, 3952, 269, 1261, 5641, 338, 513, 14692, 936, 519, 5127, 267, 27229, 519, 2048, 12741, 540, 519, 1034, 4400, 685, 630, 299, 8123, 476, 272, 281, 3374, 264, 31083, 611, 12976, 519, 7910, 269, 2701, 1932, 568, 21039, 538, 513, 2241, 3043, 6521, 269, 589, 1762, 8004, 609, 10690, 4552, 267, 2864, 982, 513, 1762, 4807, 267, 1352, 4667, 547, 524, 1077, 30223, 538, 519, 7944, 540, 1200, 5127, 267, 1200, 4064, 6378, 3592, 959, 766, 6438, 267, 711, 593, 28792, 267, 855, 593, 519, 6565, 540, 561, 25788, 15738, 693, 1200, 27042, 563, 18744, 519, 8766, 6698, 9789, 2262, 2048, 18550, 685, 2854, 538, 519, 5377, 2451, 11804, 7944, 13288, 547, 519, 3923, 540, 519, 7788, 10586, 267, 543, 519, 2140, 3294, 1765, 743, 541, 1518, 519, 1641, 540, 519, 7206, 269, 898, 729, 8385, 2966, 607, 513, 20805, 656, 547, 519, 12280, 540, 519, 7910, 799, 729, 2760, 13556, 267, 543, 538, 1249, 2669, 267, 2864, 982, 4332, 267, 568, 1018, 519, 7910, 4667, 547, 581, 14719, 908, 563, 305, 1601, 31899, 779, 7015, 729, 519, 2203, 585, 28792, 543, 1010, 11078, 585, 6307, 267, 855, 646, 1131, 1100, 8969, 723, 1044, 13533, 540, 519, 1249, 602, 28792, 729, 1010, 1378, 2012, 23920, 563, 293, 1042, 17507, 267, 5261, 661, 269, 630, 539, 12175, 476, 1220, 273, 269, 634, 4856, 22046, 775, 540, 667, 14397, 28792, 17664, 31899, 281, 634, 4813, 894, 13012, 267, 476, 8146, 276, 1700, 5908, 273, 267, 5292, 269, 594, 630, 23173, 8822, 281, 667, 269, 590, 269, 30179, 518, 1070, 6032, 269, 476, 25248, 1700, 3066, 454, 20776, 21164, 267, 9098, 269, 476, 3192, 272, 269, 634, 24484, 902, 543, 8571, 902, 540, 667, 14397, 28792, 17664, 31899, 630, 9264, 279, 1700, 6642, 273, 2567, 589, 18280, 4084, 14780, 2581, 333, 2946, 267, 5292, 269, 594, 1496, 17806, 316, 630, 23682, 5112, 281, 29366, 526, 517, 1070, 6032, 269, 476, 1321, 1700, 1691, 454, 763, 19664, 779, 13983, 7566, 454, 4467, 29232, 676, 667, 650, 1014, 23583, 454, 763, 590, 1329, 3150, 18048, 3244, 821, 6742, 7236, 267, 814, 13556, 519, 4090, 950, 519, 5246, 13370, 28792, 814, 1175, 620, 32484, 593, 3618, 609, 865, 2130, 890, 659, 1442, 12209, 269, 3571, 11344, 27972, 752, 24516, 1540, 1472, 1010, 8405, 1869, 2220, 597, 3149, 538, 8184, 267, 519, 561, 2167, 3728, 2287, 1010, 9925, 8215, 8318, 564, 1869, 8038, 998, 519, 2011, 269, 1261, 568, 7715, 2740, 609, 14462, 3762, 543, 6585, 513, 4829, 24481, 14462, 7936, 267, 29544, 4708, 269, 2060, 606, 17715, 2062, 325, 5424, 646, 6920, 519, 798, 557, 540, 519, 10513, 26415, 28703, 538, 513, 11344, 12106, 676, 10027, 889, 574, 543, 1583, 7469, 574, 269, 6969, 1864, 519, 642, 848, 540, 3043, 561, 25788, 4016, 547, 519, 19454, 540, 519, 7910, 563, 8072, 307, 709, 16940, 685, 630, 341, 269, 3066, 1070, 1352, 695, 337, 3855, 689, 1864, 267, 5373, 1200, 27972, 752, 1472, 1200, 267, 13141, 1456, 1200, 2212, 865, 602, 519, 1913, 689, 1010, 5023, 589, 12717, 27107, 8656, 717, 6938, 2316, 288, 623, 4041, 2793, 667, 6865, 2562, 4785, 570, 4488, 9331, 21235, 538, 6659, 5022, 540, 575, 843, 539, 575, 612, 334, 979, 2047, 547, 1200, 1274, 269, 6307, 568, 6297, 547, 1832, 1200, 1747, 538, 519, 1433, 1352, 814, 1044, 2542, 267, 12926, 519, 1433, 540, 30037, 281, 5612, 1657, 1200, 538, 519, 5180, 601, 8659, 1369, 519, 13524, 10601, 7406, 568, 519, 22445, 30037, 609, 519, 1257, 689, 1010, 28897, 8278, 576, 5164, 2998, 19270, 760, 2884, 267, 1247, 519, 5931, 540, 1614, 824, 28556, 267, 22819, 31109, 267, 26442, 2131, 1408, 267, 543, 12253, 630, 718, 14648, 538, 4168, 2245, 607, 13288, 547, 519, 20424, 4332, 264, 616, 849, 3769, 269, 4329, 5931, 689, 19279, 476, 272, 281, 1789, 267, 476, 4029, 267, 543, 476, 3374, 616, 27485, 593, 28792, 779, 588, 1961, 267, 543, 1010, 2012, 568, 27485, 593, 1010, 19492, 557, 563, 763, 5931, 1131, 723, 6949, 730, 609, 519, 23464, 540, 590, 1329, 320, 24130, 585, 799, 713, 26749, 12328, 729, 13556, 267, 543, 2482, 26902, 26802, 1131, 723, 10150, 519, 22406, 5898, 540, 519, 2627, 18282, 269, 634, 3750, 568, 14376, 547, 561, 5424, 936, 519, 1750, 638, 1229, 570, 691, 541, 16536, 267, 519, 3818, 12258, 10696, 18899, 6989, 267, 28792, 779, 12308, 6361, 3766, 1245, 546, 531, 15122, 609, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19801, 538, 519, 4139, 3204, 3588, 2483, 305, 639, 8688, 267, 19279, 570, 282, 23045, 2006, 267, 3057, 1176, 333, 282, 717, 534, 784, 267, 18039, 670, 282, 717, 9707, 267, 1546, 3630, 454, 19667, 528, 1027, 3237, 3068, 3982, 2591, 538, 3246, 1416, 585, 12225, 1227, 2192, 1453, 269, 5753, 781, 15335, 538, 1079, 10820, 19329, 519, 1646, 540, 1920, 10391, 2994, 547, 2327, 2941, 1861, 338, 262, 15569, 540, 20786, 15984, 543, 519, 2359, 540, 1453, 781, 1072, 1416, 269, 22034, 513, 1981, 543, 6043, 5133, 267, 513, 16135, 3069, 1353, 729, 5342, 609, 476, 1691, 32682, 1027, 3237, 540, 1453, 609, 5312, 10108, 269, 634, 2956, 540, 3972, 267, 4008, 267, 543, 3347, 609, 3791, 18407, 1416, 7426, 7153, 607, 1883, 4798, 1644, 547, 519, 1646, 540, 2500, 2941, 1861, 532, 3347, 585, 4509, 1453, 781, 1072, 269, 6555, 528, 1027, 3237, 941, 1655, 2111, 547, 1489, 519, 2359, 540, 741, 1453, 781, 5312, 2175, 950, 1416, 7426, 13234, 607, 9243, 3791, 6105, 543, 10827, 2456, 269, 20985, 1920, 1416, 949, 2154, 1072, 1416, 9439, 547, 2057, 1373, 6537, 883, 1543, 1190, 954, 1790, 1861, 531, 7526, 269, 9736, 634, 8191, 4433, 264, 476, 1001, 277, 563, 294, 2449, 267, 21546, 661, 282, 590, 836, 267, 962, 532, 3539, 282, 645, 4150, 342, 267, 1744, 9655, 3570, 670, 282, 2961, 516, 549, 267, 20844, 4906, 282, 30622, 6324, 329, 5271, 267, 744, 3913, 329, 523, 6390, 282, 1261, 619, 335, 1074, 267, 670, 1342, 334, 808, 700, 282, 14208, 267, 24910, 282, 898, 334, 267, 19759, 599, 25493, 282, 29485, 267, 1323, 724, 541, 611, 282, 715, 2727, 1046, 267, 6424, 282, 27850, 267, 12253, 548, 631, 282, 18937, 2033, 996, 534, 267, 590, 1678, 541, 667, 282, 7203, 333, 752, 267, 4460, 282, 853, 1263, 601, 267, 27015, 545, 974, 282, 6250, 572, 1066, 267, 7671, 700, 808, 282, 15651, 267, 4911, 11253, 962, 2465, 5336, 3019, 282, 918, 7238, 1777, 2102, 267, 17555, 282, 2274, 3272, 267, 12448, 590, 282, 8381, 1189, 267, 4460, 282, 661, 1188, 731, 339, 267, 918, 2967, 27138, 933, 282, 12920, 17745, 3258, 333, 267, 6601, 24229, 282, 595, 2803, 327, 267, 8277, 325, 454, 30535, 609, 5312, 8459, 2068, 543, 16094, 8519, 1350, 9593, 983, 19288, 2557, 630, 294, 15709, 264, 616, 693, 1164, 1981, 585, 8459, 5821, 267, 9025, 2068, 630, 290, 13748, 264, 543, 2669, 269, 6452, 23847, 9193, 540, 1981, 543, 12557, 540, 891, 4791, 4093, 1223, 3391, 3461, 13508, 543, 3797, 269, 4475, 267, 649, 2919, 3631, 1210, 1239, 540, 476, 25784, 267, 30640, 2043, 538, 476, 1789, 2477, 10283, 538, 519, 3486, 18127, 26640, 8376, 1160, 3913, 2670, 3117, 24832, 609, 6059, 717, 15709, 630, 324, 294, 15709, 264, 338, 896, 476, 1789, 16720, 26553, 270, 272, 269, 10463, 332, 476, 273, 1547, 2405, 1014, 16045, 552, 294, 15709, 543, 10729, 11549, 6058, 3562, 2275, 805, 24100, 5223, 941, 476, 2190, 16720, 26553, 270, 272, 269, 10463, 332, 476, 273, 543, 476, 12739, 8406, 17320, 267, 6606, 269, 4635, 12721, 16151, 9695, 267, 4351, 13716, 13849, 20400, 267, 543, 4460, 990, 3157, 609, 22757, 30408, 13502, 267, 649, 2919, 1079, 268, 543, 2185, 4458, 3631, 540, 519, 5506, 543, 12557, 540, 8459, 5821, 8506, 8459, 10682, 3797, 630, 298, 20670, 1070, 513, 1875, 1922, 7614, 595, 13748, 2680, 267, 543, 2669, 2687, 547, 2085, 267, 3023, 267, 5198, 267, 552, 294, 15709, 267, 11549, 6058, 3562, 2275, 805, 24100, 5223, 267, 30918, 4301, 1973, 2604, 267, 7296, 4567, 267, 3987, 22577, 267, 543, 1686, 540, 595, 13748, 269, 23738, 24312, 4294, 547, 513, 476, 2568, 4458, 6040, 3043, 5256, 609, 513, 1686, 540, 595, 13748, 267, 513, 30918, 4301, 1973, 2604, 540, 476, 9610, 6515, 32074, 267, 606, 552, 294, 15709, 540, 476, 1839, 16720, 26553, 270, 272, 269, 10463, 332, 476, 273, 543, 513, 10729, 11549, 6058, 3562, 2275, 805, 24100, 5223, 540, 476, 1911, 271, 8406, 17320, 267, 519, 2185, 4458, 2203, 10567, 513, 476, 1704, 260, 4960, 540, 6668, 1310, 918, 20670, 267, 513, 476, 1704, 260, 4960, 540, 6668, 1310, 513, 595, 13748, 2680, 267, 513, 476, 275, 260, 4960, 540, 6668, 1310, 1312, 267, 543, 513, 476, 2764, 260, 4960, 540, 2669, 630, 280, 260, 607, 513, 1101, 2680, 267, 543, 476, 866, 260, 1310, 1776, 595, 13748, 2680, 610, 918, 20670, 1040, 11485, 11236, 585, 918, 20670, 4951, 1434, 2949, 6876, 609, 519, 3370, 8459, 5821, 1981, 3830, 267, 543, 1312, 3631, 941, 1134, 26215, 730, 609, 4767, 1981, 269, 4935, 267, 4122, 24578, 25979, 4791, 4162, 666, 3589, 519, 12557, 543, 12136, 540, 4791, 4093, 538, 2550, 609, 16094, 8519, 717, 15709, 269, 14645, 9736, 476, 1001, 279, 4139, 5980, 540, 13605, 327, 14347, 269, 15618, 676, 29021, 5549, 269, 2353, 2924, 11603, 563, 17359, 7956, 12232, 570, 1014, 29930, 21628, 16441, 267, 272, 8262, 12505, 623, 644, 553, 664, 328, 267, 272, 808, 1014, 2871, 334, 267, 273, 2672, 8566, 836, 717, 784, 267, 272, 681, 784, 808, 21628, 267, 272, 28469, 15651, 267, 272, 1627, 514, 6953, 7699, 2098, 29697, 267, 272, 654, 523, 6953, 14241, 18961, 267, 272, 623, 532, 962, 10224, 267, 272, 29883, 5336, 532, 20568, 272, 476, 272, 23430, 540, 9315, 1470, 6261, 592, 14004, 19449, 27218, 267, 29258, 17240, 14004, 11233, 267, 26280, 10202, 2160, 267, 29258, 267, 4658, 779, 6243, 540, 3624, 282, 476, 273, 23430, 540, 17240, 14004, 9577, 4530, 267, 29258, 17240, 14004, 11233, 267, 26280, 10202, 2160, 267, 29258, 267, 4658, 779, 6243, 540, 3624, 17461, 281, 11557, 3604, 538, 5312, 555, 668, 2692, 655, 26382, 17422, 13119, 630, 6311, 7968, 295, 723, 1044, 7000, 538, 1906, 2090, 269, 4014, 1318, 2295, 29259, 1436, 630, 305, 18449, 568, 519, 4154, 3044, 585, 4791, 5868, 543, 4879, 540, 23567, 538, 17422, 13119, 630, 15771, 267, 6315, 641, 592, 14004, 3635, 4152, 630, 9573, 4953, 814, 1044, 513, 811, 4922, 1031, 4879, 540, 6198, 4390, 267, 2068, 10335, 267, 23567, 267, 543, 2126, 3210, 538, 11682, 269, 1284, 32424, 602, 519, 968, 16303, 10391, 892, 8713, 4953, 17523, 1223, 7447, 519, 10335, 540, 538, 6016, 762, 11632, 7968, 295, 8160, 1385, 338, 281, 4578, 941, 27366, 585, 476, 3451, 5256, 630, 720, 267, 1611, 13008, 3044, 11539, 1496, 16256, 316, 815, 7830, 269, 276, 22144, 1724, 269, 275, 1296, 543, 476, 2412, 4775, 630, 720, 267, 1611, 13008, 12676, 815, 6321, 269, 274, 22144, 1556, 269, 279, 1296, 2550, 609, 7123, 11632, 7968, 295, 945, 23384, 1312, 681, 18449, 543, 8713, 4953, 693, 29258, 17240, 14004, 11233, 689, 5988, 476, 1001, 271, 547, 5988, 476, 1001, 277, 269, 1133, 21725, 543, 4464, 270, 3724, 1189, 2789, 1900, 3772, 9695, 2079, 729, 5340, 547, 2708, 519, 16762, 1871, 540, 8713, 4953, 17523, 547, 8280, 17871, 6724, 269, 7926, 6954, 6668, 729, 6059, 1210, 519, 18087, 17839, 1700, 9288, 1512, 1505, 543, 9916, 609, 519, 2845, 8573, 1678, 1449, 269, 30532, 14354, 10898, 3631, 941, 5340, 547, 3313, 519, 4830, 2680, 6954, 6668, 30661, 269, 24342, 281, 26597, 8713, 4953, 6724, 941, 1114, 1063, 5256, 543, 4775, 2550, 609, 11632, 7968, 295, 543, 519, 1852, 1895, 269, 1703, 941, 1100, 1713, 3604, 538, 1312, 4791, 4632, 543, 681, 18449, 6724, 1063, 5256, 543, 4775, 2550, 609, 11632, 7968, 295, 269, 744, 273, 13942, 267, 24913, 267, 8792, 14910, 630, 12717, 267, 543, 1439, 2389, 10537, 9864, 2604, 540, 744, 273, 630, 303, 4953, 302, 273, 693, 26103, 12939, 267, 607, 1134, 607, 8445, 744, 273, 13942, 267, 24913, 267, 966, 292, 267, 543, 562, 611, 597, 454, 295, 754, 787, 267, 717, 282, 3345, 267, 667, 282, 2098, 1168, 582, 597, 267, 570, 282, 715, 4660, 5622, 267, 681, 715, 454, 15239, 268, 24978, 538, 3444, 22891, 1239, 568, 711, 16613, 543, 3340, 6297, 7829, 1282, 519, 2079, 3942, 865, 607, 711, 547, 9186, 2164, 269, 769, 713, 1957, 267, 649, 9414, 875, 15410, 19359, 2079, 666, 581, 4294, 538, 1931, 547, 4383, 519, 1875, 268, 24978, 1247, 693, 519, 1482, 942, 20808, 782, 4767, 1239, 269, 901, 14583, 540, 19359, 2079, 729, 4294, 547, 513, 1305, 540, 16917, 8344, 1239, 538, 799, 3347, 1063, 3875, 2825, 267, 4719, 267, 24040, 543, 8739, 20300, 2188, 543, 741, 7681, 609, 10447, 10335, 538, 1453, 941, 8268, 269, 634, 3498, 540, 15410, 19359, 2079, 7000, 4277, 12205, 1063, 519, 6027, 4632, 602, 6382, 949, 711, 723, 1044, 6534, 269, 3509, 540, 519, 12205, 1336, 6166, 3964, 6436, 1336, 538, 3332, 3823, 2188, 602, 22652, 6689, 10447, 269, 3525, 4733, 547, 4049, 10447, 729, 1336, 547, 581, 2404, 609, 17596, 30564, 1416, 267, 5256, 1453, 267, 476, 279, 268, 547, 476, 280, 4458, 31545, 267, 4598, 547, 10269, 8673, 538, 6472, 543, 2713, 538, 2127, 602, 7985, 689, 3665, 2011, 5533, 269, 4889, 725, 941, 1336, 1063, 7646, 10770, 10447, 543, 1970, 4332, 7076, 267, 543, 1373, 6534, 547, 8673, 538, 519, 1753, 543, 2713, 538, 513, 1753, 609, 909, 547, 2185, 1004, 269, 634, 8760, 540, 21483, 10447, 729, 2404, 609, 513, 1895, 540, 4632, 602, 5815, 1970, 8739, 20300, 4567, 269, 14645, 9736, 476, 1001, 275, 3627, 25067, 1299, 25860, 267, 13456, 563, 19913, 549, 628, 267, 7917, 808, 282, 16199, 577, 4157, 267, 32264, 282, 10060, 267, 2274, 7431, 454, 763, 1164, 9860, 543, 10335, 540, 1286, 625, 1851, 8225, 3689, 8315, 1453, 568, 513, 3395, 6161, 269, 15482, 6391, 538, 6413, 568, 1419, 2556, 547, 1521, 519, 4191, 540, 9178, 855, 1281, 711, 2232, 519, 5817, 2188, 7700, 547, 922, 1646, 269, 634, 3483, 540, 713, 1353, 729, 547, 3313, 519, 9860, 543, 1981, 2188, 540, 27877, 3146, 19959, 17926, 15636, 1479, 29392, 5463, 599, 630, 289, 6630, 291, 1070, 610, 27275, 7216, 19974, 595, 2456, 630, 306, 268, 4488, 290, 1070, 1851, 9251, 1453, 25945, 538, 18001, 476, 273, 540, 519, 3689, 8315, 13636, 7043, 15994, 2657, 11752, 630, 305, 9391, 1040, 9061, 22891, 1353, 1519, 11042, 609, 15637, 269, 901, 1353, 729, 3908, 547, 1239, 689, 31671, 20899, 3689, 8315, 10283, 538, 519, 681, 9391, 18001, 476, 273, 630, 1220, 279, 268, 1015, 1040, 4578, 941, 11658, 547, 27877, 11042, 585, 741, 1126, 4235, 12627, 16098, 538, 14569, 267, 543, 3232, 6981, 540, 2571, 10425, 267, 10433, 267, 26265, 543, 3728, 1426, 941, 2404, 609, 2799, 1981, 269, 8409, 945, 4080, 602, 3782, 2533, 941, 711, 2139, 543, 941, 711, 15520, 3617, 941, 3648, 811, 2693, 547, 723, 1453, 609, 590, 268, 4488, 290, 269, 5516, 326, 1853, 5359, 2303, 602, 5176, 476, 272, 538, 1169, 476, 275, 1453, 814, 1044, 4299, 676, 590, 268, 4488, 290, 269, 5772, 1881, 1981, 2188, 585, 31671, 20899, 3689, 8315, 1453, 3769, 2085, 267, 2069, 543, 7694, 267, 8192, 2853, 267, 1569, 547, 1416, 267, 543, 17522, 547, 1920, 543, 2528, 269, 901, 2199, 2963, 666, 581, 1031, 547, 948, 1217, 2104, 1286, 625, 6604, 2238, 538, 891, 31671, 20899, 2950, 563, 19913, 549, 628, 267, 7917, 808, 5919, 16199, 577, 4157, 267, 32264, 282, 10060, 267, 2274, 7431, 454, 11917, 16633, 634, 1164, 9860, 543, 10335, 540, 1286, 625, 1851, 8225, 3689, 8315, 1453, 568, 513, 3395, 6161, 269, 15482, 6391, 538, 6413, 568, 1419, 2556, 547, 1521, 519, 4191, 540, 9178, 855, 1281, 711, 2232, 519, 5817, 2188, 7700, 547, 922, 1646, 269, 634, 3483, 540, 713, 1353, 729, 547, 3313, 519, 9860, 543, 1981, 2188, 540, 27877, 3146, 19959, 17926, 15636, 1479, 29392, 5463, 599, 630, 289, 6630, 291, 1070, 610, 27275, 7216, 19974, 595, 2456, 630, 306, 268, 4488, 290, 1070, 1851, 9251, 1453, 25945, 538, 18001, 476, 273, 540, 519, 3689, 8315, 13636, 7043, 15994, 2657, 11752, 630, 305, 9391, 1040, 5530, 5071, 9061, 22891, 1353, 1519, 11042, 609, 15637, 269, 10613, 901, 1353, 729, 3908, 547, 1239, 689, 31671, 20899, 3689, 8315, 10283, 538, 519, 681, 9391, 18001, 476, 273, 630, 1220, 279, 1700, 1015, 1040, 4578, 941, 11658, 547, 27877, 11042, 585, 741, 1126, 4235, 12627, 16098, 538, 14569, 267, 543, 3232, 6981, 540, 2571, 10425, 267, 10433, 267, 26265, 543, 3728, 1426, 941, 2404, 609, 2799, 1981, 269, 8409, 945, 4080, 602, 3782, 2533, 941, 711, 2139, 543, 941, 711, 15520, 3617, 941, 3648, 811, 2693, 547, 723, 1453, 609, 590, 268, 4488, 290, 269, 1230, 7501, 5516, 326, 1853, 5359, 2303, 602, 5176, 476, 272, 538, 1169, 476, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1043, 547, 1866, 269, 1879, 1004, 616, 882, 1516, 741, 8194, 267, 789, 3006, 588, 732, 1055, 883, 2230, 607, 952, 789, 616, 8384, 513, 7260, 563, 19136, 1912, 12609, 17245, 281, 3778, 540, 6464, 267, 8914, 267, 2068, 267, 1379, 543, 3214, 593, 18041, 2867, 26952, 454, 5970, 596, 2479, 9289, 875, 968, 19136, 1912, 12609, 892, 25189, 519, 1379, 621, 1631, 814, 936, 938, 1062, 540, 4915, 286, 2107, 1946, 938, 1426, 267, 1216, 543, 2011, 1107, 938, 1034, 10475, 2200, 1107, 616, 782, 1631, 26130, 676, 14686, 6464, 602, 616, 4625, 11991, 585, 938, 6228, 543, 602, 2760, 1058, 723, 1044, 9516, 585, 946, 538, 519, 1101, 1747, 888, 1432, 2731, 3123, 8213, 2443, 547, 3388, 689, 25933, 547, 5100, 268, 10746, 286, 1656, 875, 666, 649, 7753, 621, 286, 20435, 670, 926, 814, 2938, 938, 1699, 2409, 3111, 20250, 267, 607, 646, 814, 14478, 6068, 3283, 6560, 547, 4383, 741, 1039, 11881, 269, 1261, 3323, 547, 4898, 1946, 649, 1521, 13982, 338, 519, 1259, 649, 798, 2443, 543, 952, 972, 1522, 581, 513, 1732, 1259, 269, 1306, 646, 8843, 538, 713, 7184, 2123, 2911, 267, 1010, 2055, 3576, 1864, 1472, 519, 1158, 267, 543, 11552, 691, 1117, 930, 9670, 543, 29014, 2081, 540, 3206, 827, 606, 2085, 6040, 1966, 563, 23562, 4868, 1296, 3516, 267, 3220, 589, 2466, 590, 797, 267, 513, 7905, 540, 6925, 693, 25832, 18669, 267, 6410, 547, 519, 2475, 3206, 646, 729, 4947, 547, 519, 18557, 1633, 540, 519, 1158, 269, 1261, 4397, 3025, 1934, 547, 581, 1360, 6126, 269, 1548, 646, 4718, 14281, 543, 28280, 1864, 269, 769, 713, 16168, 267, 3728, 2173, 8221, 267, 543, 7184, 16367, 2911, 267, 3220, 590, 797, 8843, 1010, 3460, 936, 1079, 5756, 543, 2066, 1079, 17407, 267, 4466, 513, 1259, 547, 948, 721, 856, 8243, 691, 938, 8849, 19753, 21752, 547, 7092, 269, 769, 519, 1184, 267, 646, 3217, 721, 593, 513, 1394, 22533, 4663, 540, 519, 1480, 2634, 543, 14592, 519, 575, 626, 540, 513, 11295, 1982, 646, 568, 2921, 11451, 547, 6175, 2566, 543, 2087, 1445, 267, 6043, 267, 543, 8788, 269, 15566, 7335, 0, 4002, 513, 3636, 24475, 1554, 972, 568, 4986, 1732, 982, 513, 3802, 267, 2523, 547, 513, 4087, 711, 2943, 8268, 269, 594, 1185, 1224, 8289, 902, 540, 6397, 6177, 2249, 693, 15729, 24434, 538, 519, 17638, 1858, 269, 594, 1185, 2760, 1044, 547, 15729, 24434, 1282, 1250, 942, 2713, 538, 17638, 267, 543, 519, 8289, 902, 540, 11174, 7414, 717, 1638, 543, 22398, 335, 717, 1638, 941, 606, 4277, 1303, 823, 618, 269, 15729, 24434, 568, 519, 7013, 1448, 693, 519, 5023, 540, 519, 31869, 2471, 5211, 1732, 1634, 607, 15636, 1415, 7345, 267, 4583, 585, 519, 13941, 540, 31924, 6276, 13648, 609, 1010, 2048, 295, 5960, 31661, 7736, 324, 2948, 685, 538, 476, 10082, 271, 693, 918, 1248, 749, 2282, 713, 12363, 3182, 3293, 2630, 269, 901, 568, 782, 851, 540, 15636, 1415, 7345, 2817, 5244, 269, 8437, 593, 6337, 547, 23822, 873, 563, 22209, 8896, 547, 15729, 24434, 454, 298, 600, 599, 15636, 1415, 7345, 26128, 7187, 5023, 454, 19185, 883, 15636, 1415, 7345, 454, 2171, 917, 1864, 607, 18279, 13648, 267, 799, 1058, 723, 1044, 1010, 2140, 855, 729, 4371, 689, 1864, 1317, 646, 729, 711, 540, 519, 2296, 8425, 787, 610, 8036, 538, 741, 1362, 1062, 267, 855, 5103, 713, 1249, 267, 2968, 519, 1158, 779, 20923, 4044, 1807, 543, 7047, 19212, 269, 634, 13393, 540, 10492, 1369, 713, 1362, 1062, 8507, 538, 1082, 5215, 540, 25031, 9271, 540, 2729, 1282, 2296, 1686, 267, 1519, 26880, 538, 519, 3689, 2622, 2782, 269, 9282, 13648, 1705, 519, 960, 540, 513, 18279, 646, 729, 840, 7672, 519, 2140, 11489, 1082, 1296, 2663, 269, 9478, 24434, 630, 3369, 558, 519, 1309, 701, 568, 3957, 1310, 264, 729, 519, 7762, 534, 626, 593, 1010, 22116, 945, 5795, 2296, 4408, 547, 1082, 540, 519, 2249, 540, 2371, 4767, 593, 519, 22116, 269, 634, 1101, 8289, 532, 602, 17631, 1294, 950, 16042, 17638, 19633, 676, 2011, 568, 519, 27726, 7381, 32498, 30917, 540, 15636, 1415, 7345, 26128, 543, 634, 9576, 26128, 563, 763, 8966, 32498, 4224, 21272, 2938, 2059, 713, 23795, 616, 849, 513, 4183, 1934, 4946, 547, 519, 2067, 5898, 540, 519, 1747, 269, 1809, 8909, 569, 972, 616, 519, 15895, 4191, 540, 2250, 9568, 607, 519, 15309, 532, 20739, 1188, 540, 519, 9399, 3687, 14741, 6013, 593, 519, 7725, 269, 898, 729, 513, 5755, 8876, 2848, 4461, 1222, 799, 14612, 1394, 543, 8521, 689, 1715, 31069, 547, 24332, 267, 3957, 1310, 519, 5755, 5599, 4884, 538, 1715, 31069, 267, 3687, 14741, 1141, 1250, 7800, 652, 5067, 946, 547, 2661, 269, 30586, 1152, 835, 1272, 729, 4503, 676, 2295, 4323, 543, 519, 1082, 12284, 941, 9108, 4547, 547, 13272, 267, 607, 519, 7952, 3046, 13715, 7404, 3357, 547, 741, 6351, 593, 6217, 519, 9252, 1163, 6160, 687, 540, 519, 15245, 607, 621, 13264, 909, 593, 519, 7725, 693, 3781, 269, 1703, 729, 513, 1899, 540, 6517, 6288, 539, 476, 275, 13304, 1279, 607, 5215, 3357, 689, 519, 17638, 1858, 547, 1294, 621, 267, 14124, 519, 29517, 717, 6504, 6092, 607, 789, 15336, 538, 563, 2005, 729, 849, 17175, 547, 1294, 930, 540, 519, 3552, 25154, 540, 938, 4505, 982, 8912, 11354, 593, 519, 32498, 1309, 701, 563, 3528, 1631, 930, 540, 596, 616, 6998, 281, 968, 20756, 513, 1380, 773, 321, 597, 1457, 256, 1548, 827, 519, 5017, 267, 1705, 596, 1294, 1022, 5017, 26834, 7536, 11039, 594, 1705, 711, 1294, 607, 1082, 607, 594, 1185, 12479, 267, 1498, 713, 568, 2141, 513, 6177, 619, 19175, 267, 855, 9811, 267, 594, 1705, 2972, 930, 2298, 8289, 902, 269, 1306, 594, 3357, 2059, 519, 3950, 594, 729, 30870, 676, 519, 4992, 543, 17573, 8289, 532, 540, 1082, 8111, 321, 674, 8543, 8862, 1066, 6140, 17729, 547, 1869, 581, 538, 24256, 267, 855, 4166, 547, 581, 26871, 1154, 1394, 547, 741, 4190, 4544, 9960, 20034, 720, 607, 11354, 5849, 269, 634, 4775, 814, 519, 2699, 3750, 8258, 543, 513, 14402, 4544, 2766, 269, 634, 28103, 2421, 9381, 17382, 568, 4998, 7226, 585, 891, 6263, 5521, 643, 5387, 5017, 563, 2026, 594, 22283, 1055, 519, 3723, 8822, 8220, 547, 15729, 24434, 2212, 1633, 267, 594, 19481, 713, 3851, 22057, 26932, 527, 269, 1452, 616, 4277, 5017, 547, 4585, 267, 543, 616, 2938, 538, 1896, 4025, 593, 519, 32498, 5867, 540, 713, 2817, 5244, 269, 1358, 723, 513, 546, 691, 532, 5163, 607, 789, 28532, 585, 7786, 543, 5452, 267, 543, 786, 1491, 8184, 3362, 952, 789, 1294, 596, 4947, 563, 19185, 856, 547, 519, 4190, 9350, 4544, 4262, 594, 4718, 835, 19157, 670, 2794, 3724, 1733, 1446, 1818, 922, 1259, 909, 519, 5032, 269, 4107, 540, 922, 14077, 616, 2907, 909, 5087, 538, 519, 15911, 7297, 540, 519, 670, 2925, 344, 7345, 1858, 267, 20282, 543, 2348, 741, 1762, 269, 901, 3735, 12625, 729, 16111, 1793, 6260, 922, 2766, 267, 585, 936, 606, 5662, 267, 18923, 3001, 4464, 269, 898, 568, 711, 1634, 609, 1022, 17046, 5168, 607, 547, 519, 3483, 540, 519, 2766, 1606, 331, 777, 269, 898, 949, 581, 14379, 547, 519, 7404, 10935, 547, 3251, 2476, 267, 610, 12394, 547, 12398, 824, 16385, 538, 519, 25610, 267, 610, 930, 3494, 621, 949, 581, 513, 8023, 4480, 267, 855, 713, 568, 1360, 19796, 1190, 269, 1306, 594, 14478, 519, 17962, 594, 8068, 513, 19157, 3851, 22057, 717, 2335, 564, 2267, 2358, 7404, 269, 901, 568, 513, 6177, 25864, 2938, 713, 2673, 547, 519, 32132, 267, 1498, 1312, 17962, 543, 717, 2335, 564, 941, 513, 9645, 3845, 856, 547, 4262, 563, 295, 2794, 3724, 1733, 1446, 2766, 1606, 331, 777, 454, 3369, 1446, 543, 717, 2335, 564, 454, 3080, 540, 519, 1303, 823, 906, 602, 3366, 803, 547, 15729, 24434, 10393, 7902, 10760, 936, 519, 15729, 267, 513, 6292, 540, 11174, 7414, 717, 1638, 269, 1452, 5017, 616, 711, 7363, 1336, 713, 2484, 5087, 267, 1498, 649, 798, 1294, 11174, 22398, 335, 717, 1638, 689, 942, 547, 942, 799, 594, 723, 11540, 538, 519, 2250, 269, 634, 7414, 717, 1638, 568, 1336, 6140, 538, 15117, 543, 31005, 807, 543, 568, 938, 4102, 717, 1638, 563, 1607, 568, 1018, 891, 19920, 786, 1413, 899, 950, 789, 9921, 269, 18564, 519, 2699, 9067, 22496, 17534, 269, 634, 7414, 717, 1638, 814, 1312, 1283, 543, 5377, 17534, 2699, 543, 519, 22398, 335, 717, 1638, 1152, 519, 5377, 9067, 563, 8253, 7487, 1082, 824, 5017, 594, 3459, 547, 1118, 1250, 1259, 1394, 543, 8068, 602, 835, 540, 519, 9475, 540, 519, 29517, 717, 6504, 1576, 799, 729, 7471, 883, 713, 15944, 729, 936, 513, 2620, 669, 11047, 269, 1924, 594, 14478, 607, 4810, 17075, 619, 15354, 519, 3440, 269, 594, 723, 14360, 835, 585, 596, 269, 1358, 1185, 29529, 519, 669, 11047, 2059, 513, 3723, 8822, 5196, 519, 1309, 701, 547, 713, 835, 751, 324, 1055, 1448, 543, 5734, 621, 1394, 936, 519, 669, 11047, 547, 519, 3039, 593, 519, 824, 2427, 563, 9617, 607, 594, 729, 3592, 2282, 1250, 1286, 547, 4734, 267, 519, 7083, 3177, 803, 609, 835, 2063, 10516, 540, 1018, 7902, 547, 581, 606, 9907, 4210, 2086, 4498, 8175, 799, 24363, 2047, 936, 538, 1434, 7943, 267, 1018, 513, 4190, 6177, 256, 2986, 1576, 713, 2968, 1250, 4183, 8666, 693, 519, 30134, 618, 540, 713, 2022, 269, 1284, 1810, 1406, 1294, 1082, 4210, 2086, 625, 593, 519, 5032, 267, 1498, 594, 723, 2938, 835, 711, 2484, 689, 1934, 538, 15636, 1415, 7345, 936, 513, 1032, 3516, 269, 901, 4547, 513, 17598, 9096, 547, 1250, 3636, 15604, 3802, 267, 543, 519, 10508, 540, 2348, 5887, 3293, 883, 1007, 6177, 532, 8513, 1141, 594, 786, 4166, 2132, 609, 1250, 7385, 585, 513, 17552, 5371, 563, 7661, 267, 607, 594, 4734, 713, 4190, 1747, 2348, 3144, 538, 922, 2067, 543, 3140, 4644, 267, 1250, 9066, 267, 607, 594, 9763, 519, 1082, 4277, 543, 4190, 4224, 21272, 538, 519, 32498, 267, 729, 547, 2015, 519, 1739, 269, 1306, 513, 5256, 538, 1880, 267, 594, 3622, 676, 2470, 993, 513, 1966, 24626, 543, 4043, 547, 581, 811, 19382, 1532, 11712, 10763, 267, 16462, 547, 2119, 543, 960, 519, 670, 8582, 267, 18040, 2894, 543, 654, 14176, 891, 32498, 21272, 7018, 267, 2864, 982, 1175, 1450, 8885, 547, 2972, 543, 5660, 519, 5898, 543, 7499, 1374, 540, 519, 4224, 2183, 267, 799, 568, 1210, 811, 540, 1250, 9406, 5174, 23230, 3660, 1145, 269, 1306, 594, 1451, 547, 1491, 942, 547, 2308, 9650, 995, 16474, 757, 538, 1250, 1272, 269, 1635, 22393, 3257, 713, 267, 594, 849, 1451, 547, 3666, 1250, 1272, 538, 513, 8902, 1259, 607, 2696, 5497, 269, 6884, 594, 1175, 991, 547, 5660, 1018, 594, 1294, 610, 5873, 610, 9329, 610, 5905, 2864, 982, 2119, 543, 960, 621, 856, 607, 952, 621, 941, 1945, 2556, 547, 798, 269, 13575, 267, 621, 568, 1152, 1250, 24178, 602, 2115, 547, 798, 713, 267, 799, 814, 8909, 569, 5116, 1082, 2367, 267, 1519, 8885, 538, 519, 2250, 267, 883, 960, 1695, 4301, 7154, 547, 4413, 519, 1448, 540, 621, 782, 269, 5502, 540, 7487, 543, 19825, 513, 4190, 4224, 5250, 543, 4758, 7064, 585, 922, 10164, 550, 5071, 267, 835, 949, 1745, 519, 7920, 20882, 547, 2022, 3634, 6436, 543, 2009, 2081, 621, 3357, 883, 1373, 269, 968, 1805, 641, 543, 3911, 749, 519, 681, 4680, 17373, 568, 513, 1360, 12905, 6031, 538, 513, 1360, 17173, 936, 11112, 2413, 1272, 269, 1879, 594, 729, 1101, 5143, 713, 676, 513, 24468, 594, 2219, 2048, 1432, 513, 25064, 3364, 547, 2161, 256, 8730, 855, 1631, 1296, 2663, 267, 2348, 1831, 513, 24468, 8885, 543, 3460, 539, 998, 6633, 856, 543, 4810, 13357, 543, 1896, 27803, 12115, 902, 693, 2696, 779, 1688, 267, 594, 2119, 547, 581, 782, 519, 811, 13533, 547, 581, 13533, 540, 1142, 1272, 1995, 267, 2436, 621, 581, 513, 3579, 9543, 30089, 610, 519, 14246, 540, 15604, 3141, 593, 1250, 1394, 610, 519, 23260, 540, 513, 6177, 779, 5152, 269, 1323, 5900, 3363, 540, 6182, 520, 3363, 543, 513, 9684, 995, 7772, 748, 6891, 814, 1631, 23963, 1044, 3254, 547, 3142, 1072, 543, 15325, 547, 835, 779, 1373, 269, 1924, 6001, 267, 581, 693, 4708, 267, 2972, 543, 581, 9684, 995, 538, 519, 10475, 4090, 602, 596, 723, 267, 585, 950, 621, 568, 936, 621, 568, 8854, 11014, 267, 855, 952, 621, 568, 16990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24531, 519, 5295, 540, 8535, 998, 4317, 7827, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 2575, 666, 581, 1031, 607, 513, 1907, 585, 1514, 1689, 543, 2263, 1114, 2081, 789, 666, 946, 741, 1378, 15421, 547, 3895, 2318, 6835, 780, 7072, 912, 5970, 596, 2479, 19557, 547, 513, 5152, 602, 1500, 596, 1745, 6126, 267, 8909, 267, 610, 1256, 12592, 286, 8535, 814, 513, 3532, 1259, 540, 7133, 938, 4664, 543, 8744, 1004, 1927, 269, 1809, 1705, 596, 917, 602, 2575, 666, 849, 581, 1031, 547, 3142, 3007, 547, 1271, 2152, 538, 938, 1158, 286, 2334, 781, 4010, 1018, 930, 32427, 553, 616, 3257, 256, 2913, 781, 1451, 811, 827, 621, 780, 4089, 476, 272, 281, 1548, 568, 606, 2107, 3832, 14259, 888, 6524, 649, 4685, 883, 875, 32427, 553, 616, 1818, 513, 3017, 267, 1577, 781, 1101, 1174, 1018, 606, 32316, 568, 269, 1323, 32316, 568, 513, 1895, 540, 12372, 945, 1404, 1585, 7405, 971, 607, 3423, 1231, 267, 1591, 657, 267, 1166, 2373, 267, 25041, 1115, 267, 543, 1082, 1866, 269, 1358, 1685, 1927, 896, 519, 5583, 540, 513, 18364, 267, 2870, 4190, 4992, 602, 1847, 543, 8300, 721, 780, 4089, 476, 273, 281, 4635, 8535, 585, 4317, 7827, 454, 7775, 3832, 1598, 553, 2066, 519, 2197, 616, 4466, 3860, 2081, 547, 9192, 741, 2648, 585, 2575, 609, 5009, 1514, 1689, 269, 1280, 1383, 267, 835, 32316, 32524, 609, 5274, 7126, 13772, 547, 2322, 593, 513, 2027, 13447, 10023, 1623, 874, 4577, 2575, 267, 15810, 2592, 267, 543, 2123, 2984, 3838, 676, 2818, 540, 5274, 7126, 13772, 781, 2875, 4305, 3196, 269, 901, 2189, 2773, 6322, 547, 6318, 4656, 827, 1480, 2924, 2152, 543, 8300, 19700, 547, 1491, 2962, 780, 3719, 7227, 267, 972, 781, 811, 256, 6271, 32316, 4941, 547, 5000, 3214, 547, 7119, 538, 1153, 15747, 2575, 3292, 269, 1924, 267, 789, 6896, 513, 3126, 540, 30145, 4481, 2966, 585, 10026, 1153, 1053, 269, 1635, 2324, 5702, 609, 2199, 3506, 267, 891, 32427, 553, 2813, 1565, 2200, 543, 7317, 2833, 547, 948, 1762, 1053, 1921, 609, 2575, 1247, 5807, 513, 4514, 7071, 585, 922, 1379, 780, 4089, 476, 274, 281, 1215, 2052, 1411, 5269, 513, 16338, 888, 3086, 602, 596, 917, 875, 32427, 553, 616, 1210, 2575, 585, 1514, 1689, 267, 1589, 827, 707, 1378, 18653, 543, 1983, 269, 9320, 596, 2972, 13465, 267, 15472, 267, 7206, 267, 610, 1603, 6965, 1107, 782, 540, 891, 15421, 666, 581, 1031, 547, 3262, 25273, 543, 1118, 513, 3017, 538, 707, 2146, 269, 11020, 10445, 2081, 596, 1223, 2671, 707, 10516, 609, 1866, 543, 3565, 547, 513, 1434, 2014, 269, 5457, 267, 1169, 2370, 3787, 2337, 2439, 6962, 912, 24523, 814, 519, 6909, 2702, 547, 26595, 1004, 267, 18427, 4664, 267, 543, 8141, 7391, 1472, 2565, 3584, 269, 1306, 596, 3136, 3695, 519, 9059, 540, 2575, 267, 2015, 875, 596, 1522, 10244, 922, 1379, 585, 1514, 1689, 269, 8625, 267, 649, 666, 1711, 513, 1732, 2104, 4904, 609, 10103, 267, 8296, 267, 543, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 312, 1704, 3203, 3718, 630, 8512, 476, 273, 994, 294, 7847, 547, 2107, 3832, 1598, 553, 454, 32101, 16458, 1467, 540, 5147, 476, 1691, 267, 476, 1001, 277, 454, 288, 1189, 7788, 6407, 4873, 476, 1691, 267, 476, 1001, 277, 454, 5278, 3877, 540, 519, 3785, 7396, 2630, 616, 1641, 547, 1689, 267, 20314, 550, 2390, 1991, 7736, 578, 618, 13170, 563, 13563, 15272, 6641, 21620, 267, 1269, 1428, 267, 1822, 454, 2414, 1489, 513, 13447, 609, 1644, 3872, 2238, 269, 769, 5698, 609, 5274, 7126, 13772, 267, 11968, 13353, 267, 519, 1788, 786, 1331, 513, 19180, 13447, 540, 1623, 874, 4577, 2575, 267, 15810, 2592, 267, 543, 16499, 517, 10118, 1224, 676, 2818, 540, 5274, 7126, 13772, 779, 2875, 4305, 4403, 269, 12409, 2238, 949, 1331, 513, 840, 8410, 32662, 1623, 24007, 676, 8535, 10615, 24883, 594, 345, 8364, 599, 267, 513, 2575, 6048, 267, 543, 4966, 689, 5274, 7126, 13772, 563, 2304, 577, 4392, 6641, 21620, 2107, 3832, 14259, 267, 1269, 1428, 267, 1822, 454, 2414, 1489, 8479, 4658, 779, 19270, 1068, 338, 269, 769, 606, 4674, 547, 5000, 7589, 538, 1153, 15747, 2575, 3292, 267, 30145, 786, 581, 5340, 585, 10026, 1153, 1053, 269, 11554, 538, 5698, 609, 31745, 4392, 3427, 10588, 2575, 7855, 267, 519, 32316, 786, 1711, 1353, 2326, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 19484, 519, 2558, 10118, 543, 17650, 2827, 540, 654, 691, 830, 910, 589, 6733, 883, 519, 22032, 540, 22307, 4536, 4438, 2622, 2782, 594, 692, 7072, 692, 2026, 2938, 538, 519, 21626, 3177, 267, 31150, 3785, 1404, 513, 2629, 1909, 538, 8497, 1686, 543, 1818, 621, 3015, 547, 2104, 5481, 269, 7324, 519, 1082, 2984, 602, 666, 581, 20114, 616, 1346, 540, 7980, 945, 10692, 1282, 2053, 540, 2112, 269, 2290, 971, 4655, 602, 1185, 7096, 2360, 593, 1312, 2043, 543, 6082, 7567, 729, 2622, 2782, 594, 269, 769, 713, 3184, 267, 649, 5490, 2620, 883, 519, 2729, 540, 930, 540, 891, 12703, 2367, 543, 2021, 945, 6039, 741, 2477, 1282, 713, 31341, 6681, 1974, 269, 1284, 786, 2263, 875, 789, 2941, 539, 609, 519, 23434, 540, 29053, 543, 1018, 12592, 873, 547, 21821, 538, 519, 1101, 1747, 269, 5015, 267, 649, 4983, 519, 1279, 3856, 4539, 540, 741, 2833, 593, 741, 2022, 8705, 2729, 543, 2790, 1072, 780, 4089, 476, 272, 281, 31802, 19992, 2037, 4289, 618, 692, 6524, 7234, 519, 4890, 2621, 602, 3576, 1747, 1282, 2622, 2782, 594, 267, 621, 781, 1898, 547, 1174, 1946, 1762, 4079, 4956, 547, 6443, 519, 4108, 5103, 6616, 519, 4220, 3238, 269, 1280, 1034, 267, 32742, 5129, 513, 1713, 3815, 282, 789, 5433, 25997, 547, 2149, 741, 2197, 543, 8190, 922, 2418, 269, 5047, 267, 9263, 2604, 543, 6848, 6788, 849, 6766, 1004, 781, 3664, 269, 8479, 2367, 1419, 1336, 2933, 695, 3139, 952, 789, 4769, 1405, 1129, 909, 585, 3028, 267, 3056, 547, 7839, 7589, 1851, 14718, 9038, 269, 14936, 267, 2804, 2188, 3112, 581, 15763, 269, 2060, 3908, 2816, 3255, 2139, 693, 1753, 267, 11836, 519, 11439, 4229, 6035, 2883, 6617, 543, 513, 4960, 585, 16057, 10688, 780, 4089, 476, 273, 281, 5020, 538, 519, 570, 29168, 692, 5629, 21821, 539, 267, 7980, 941, 6534, 547, 10792, 2713, 2175, 6353, 676, 4057, 19455, 267, 17077, 1426, 7727, 267, 543, 3586, 4598, 547, 2068, 269, 3958, 267, 1272, 538, 519, 512, 29168, 9863, 15508, 4101, 1813, 547, 6905, 5712, 2476, 689, 1920, 2818, 267, 4250, 540, 10546, 6285, 267, 543, 519, 2479, 1790, 6974, 3463, 540, 2669, 269, 6736, 891, 10779, 885, 267, 2178, 23274, 2919, 1063, 1425, 545, 18779, 267, 3246, 3929, 1489, 543, 5807, 15400, 17052, 780, 4089, 476, 274, 281, 8177, 540, 5303, 692, 3849, 9330, 906, 538, 2029, 13497, 12012, 519, 2470, 540, 8396, 1282, 2622, 2782, 594, 269, 1715, 9604, 899, 3684, 15963, 267, 3114, 3154, 267, 543, 13688, 8507, 538, 13778, 2157, 540, 9552, 543, 25096, 269, 9182, 267, 7980, 4810, 15398, 2566, 543, 4160, 1247, 2502, 538, 6370, 269, 2201, 519, 824, 1688, 267, 6639, 10124, 4824, 2792, 2409, 1063, 10136, 543, 4971, 7740, 267, 7175, 1732, 7580, 4058, 543, 11056, 540, 13485, 780, 4089, 476, 275, 281, 5403, 10177, 9964, 13262, 13081, 630, 303, 15056, 2020, 6624, 18884, 8120, 1753, 7092, 689, 17971, 267, 4352, 621, 7012, 1405, 13166, 6444, 2394, 1454, 2663, 269, 12580, 3769, 3781, 2742, 637, 267, 8755, 10587, 267, 20026, 267, 29338, 267, 543, 1514, 10072, 269, 1452, 2152, 3648, 12936, 741, 2702, 547, 556, 15759, 3433, 883, 2486, 267, 2226, 3347, 267, 543, 5150, 7694, 269, 898, 781, 1271, 547, 4063, 602, 2413, 5574, 585, 17971, 723, 7960, 14320, 2094, 1287, 267, 5356, 4126, 585, 4299, 2043, 5275, 8323, 780, 6962, 692, 3528, 6313, 2123, 6386, 543, 27367, 6589, 540, 7980, 945, 5030, 998, 2622, 2782, 594, 267, 649, 2744, 3407, 4030, 883, 519, 1480, 2427, 540, 13137, 269, 3414, 3695, 18144, 3297, 21821, 618, 267, 3232, 2591, 5185, 538, 519, 512, 29168, 267, 5222, 540, 6932, 4066, 267, 543, 1279, 18835, 5626, 29854, 267, 1053, 666, 5660, 519, 6043, 543, 6830, 3363, 10268, 676, 891, 12325, 269, 1635, 8220, 2250, 2621, 609, 1459, 11407, 4478, 4108, 7526, 543, 2790, 1072, 267, 6209, 7391, 827, 5885, 938, 1425, 545, 655, 20047, 543, 26621, 741, 24279, 666, 1671, 826, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 12309, 25895, 2160, 19964, 543, 21019, 13474, 8466, 26888, 4607, 513, 5313, 9886, 538, 476, 1220, 280, 547, 1489, 513, 1079, 4458, 1788, 547, 2087, 519, 6609, 540, 922, 3140, 10070, 543, 2671, 811, 540, 713, 1344, 2066, 519, 1357, 269, 634, 9886, 267, 13815, 3143, 281, 681, 289, 268, 4335, 6795, 268, 6021, 968, 290, 4040, 547, 519, 17183, 281, 32672, 2718, 26726, 26888, 538, 12309, 779, 21019, 13474, 2223, 729, 13752, 676, 519, 2817, 8466, 19475, 543, 23549, 8189, 630, 26822, 11266, 290, 1070, 513, 27152, 1560, 28337, 609, 519, 2817, 19964, 543, 19475, 10029, 269, 634, 1739, 4564, 519, 5638, 1631, 3605, 762, 998, 32726, 9448, 779, 2622, 29272, 543, 12309, 15306, 779, 17048, 269, 2755, 519, 9886, 8694, 593, 5239, 476, 4029, 267, 476, 1001, 272, 267, 713, 1592, 786, 3136, 547, 581, 8242, 607, 1007, 10070, 1831, 2139, 563, 763, 12309, 15306, 19964, 729, 13752, 513, 2034, 9886, 689, 519, 19760, 11266, 290, 267, 13815, 3143, 281, 715, 2752, 1556, 7304, 303, 268, 4335, 5038, 268, 1556, 968, 15761, 24219, 8738, 1221, 7066, 5501, 281, 31514, 7457, 547, 2494, 11245, 338, 6168, 12309, 779, 21019, 13474, 1848, 901, 9886, 6462, 2417, 6934, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13328, 2782, 594, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 13639, 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, 25069, 322, 28690, 1107, 589, 1975, 5390, 23874, 2439, 5970, 596, 2479, 6836, 11204, 1426, 286, 1215, 827, 1945, 2731, 25970, 899, 3905, 14036, 610, 521, 1023, 320, 286, 1403, 865, 267, 1705, 596, 917, 602, 1082, 540, 1346, 8949, 10366, 2965, 2097, 689, 3536, 602, 941, 10150, 676, 1004, 5215, 540, 1296, 3516, 286, 2334, 781, 1318, 256, 7043, 1354, 972, 941, 512, 659, 657, 543, 3276, 761, 657, 267, 972, 729, 513, 1895, 540, 1004, 1572, 519, 25069, 14369, 945, 5030, 538, 1018, 649, 1631, 1289, 6792, 269, 1358, 1185, 741, 1378, 2189, 1259, 540, 5986, 1210, 5820, 602, 789, 8057, 2933, 269, 2913, 781, 2263, 713, 26345, 1686, 1927, 2439, 5575, 1919, 1101, 910, 1577, 781, 2911, 827, 8970, 269, 12397, 729, 630, 663, 1869, 568, 14386, 513, 20013, 1426, 538, 25069, 322, 11951, 269, 898, 1522, 1413, 1114, 982, 519, 6653, 8970, 649, 3548, 2221, 267, 855, 621, 3029, 519, 3490, 540, 1082, 2757, 8286, 269, 25069, 14369, 1131, 20836, 909, 12015, 737, 1716, 1564, 883, 7912, 543, 946, 621, 547, 1118, 12475, 25022, 267, 799, 616, 2186, 540, 899, 6366, 3694, 269, 2052, 596, 4952, 1818, 782, 707, 32409, 609, 6094, 267, 5180, 4773, 540, 3694, 3079, 540, 2571, 3694, 21100, 286, 2334, 781, 875, 519, 25069, 14369, 18202, 2439, 3086, 267, 1577, 781, 2490, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6163, 1131, 581, 2147, 1100, 2339, 1141, 596, 979, 267, 1318, 286, 4270, 267, 621, 7140, 856, 972, 616, 1082, 1114, 2081, 3237, 6318, 741, 1453, 2066, 4529, 256, 2913, 781, 2263, 930, 2189, 15970, 2853, 1472, 519, 1158, 780, 1103, 930, 2477, 267, 971, 607, 3567, 543, 9705, 267, 3237, 1445, 593, 1895, 10103, 543, 2463, 585, 22242, 269, 901, 1797, 3450, 3214, 547, 6432, 5402, 950, 4079, 3717, 543, 8716, 873, 547, 2015, 1866, 1354, 2933, 269, 1280, 1383, 267, 5545, 9251, 338, 4001, 9316, 676, 2348, 1453, 2973, 909, 1927, 1310, 2238, 3079, 540, 14350, 269, 1635, 2324, 607, 513, 2319, 267, 891, 1053, 1451, 5539, 543, 6568, 2509, 1142, 824, 780, 3086, 1577, 781, 3643, 13785, 267, 1634, 585, 922, 11636, 5784, 593, 9870, 4830, 543, 8746, 3214, 269, 16528, 3237, 1419, 5000, 741, 2370, 3283, 547, 2769, 8369, 267, 2307, 2055, 267, 543, 1256, 21907, 3652, 693, 1753, 256, 5994, 952, 596, 1223, 1865, 21557, 609, 707, 3237, 1107, 9327, 1406, 602, 581, 3579, 286, 1358, 3494, 713, 2337, 1628, 1582, 12635, 543, 3375, 6194, 1983, 269, 4746, 267, 9527, 525, 1871, 7836, 942, 3544, 282, 8754, 267, 3506, 723, 1279, 12424, 525, 865, 3214, 666, 1404, 11884, 538, 2470, 780, 6944, 2858, 1346, 4485, 609, 2757, 4457, 15970, 267, 799, 11363, 2182, 960, 267, 9015, 267, 543, 4081, 1967, 269, 3509, 4457, 3237, 1305, 1164, 6788, 585, 741, 1453, 781, 2069, 543, 7903, 873, 547, 14133, 27268, 269, 6884, 267, 789, 18934, 741, 3214, 538, 29599, 5049, 899, 2575, 610, 1148, 547, 2285, 873, 606, 6316, 936, 9905, 269, 2755, 713, 949, 3100, 7920, 267, 3314, 602, 2686, 2418, 3337, 891, 2853, 1765, 3519, 14673, 857, 22675, 1373, 835, 540, 873, 780, 4131, 781, 1631, 2951, 547, 3127, 267, 1141, 4745, 3885, 630, 2169, 2105, 14077, 2713, 896, 835, 8122, 264, 616, 1455, 269, 9835, 18499, 267, 796, 3380, 267, 31225, 338, 267, 543, 30980, 782, 3565, 547, 1126, 3249, 11645, 269, 5753, 1332, 909, 11303, 676, 2648, 543, 1489, 855, 849, 7453, 4808, 827, 2623, 543, 9021, 1369, 519, 7622, 269, 24771, 16254, 1419, 948, 1416, 585, 7820, 3283, 1932, 267, 2870, 2178, 7554, 1063, 14552, 543, 19946, 780, 7661, 267, 649, 12446, 693, 15887, 684, 29361, 9539, 23147, 28970, 324, 3427, 4092, 538, 27040, 11908, 267, 7330, 269, 12878, 2082, 538, 476, 5002, 274, 267, 713, 27756, 1153, 10905, 11826, 19174, 609, 1915, 1646, 998, 922, 8978, 960, 24713, 344, 10847, 2245, 14436, 540, 922, 3465, 2421, 614, 1014, 6561, 269, 4841, 30339, 689, 1585, 10080, 267, 8108, 513, 7524, 543, 12391, 10821, 2146, 269, 12389, 2476, 689, 1753, 11414, 10708, 1898, 1272, 1983, 1247, 5807, 7115, 543, 6043, 780, 2026, 596, 666, 1294, 267, 1169, 2528, 814, 3982, 2409, 540, 9870, 1453, 1759, 593, 4295, 4978, 543, 2418, 269, 1452, 3604, 1397, 721, 875, 3309, 1480, 2833, 616, 543, 7618, 721, 547, 5660, 4244, 5380, 269, 1924, 1985, 942, 596, 2743, 2576, 1007, 267, 4898, 1018, 2186, 540, 15970, 2511, 789, 8057, 909, 609, 1107, 945, 6487, 267, 6148, 596, 3513, 3605, 1945, 4241, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1001, 280, 8274, 532, 3427, 12876, 12140, 681, 910, 654, 932, 7860, 616, 899, 3723, 25074, 538, 519, 5070, 454, 23175, 540, 3427, 667, 16031, 25331, 6993, 297, 6339, 742, 327, 12507, 328, 1803, 306, 338, 326, 549, 3040, 10615, 540, 1520, 3939, 15516, 269, 20707, 9824, 10271, 523, 5853, 539, 538, 476, 5002, 274, 267, 15887, 684, 29361, 9539, 23147, 28970, 324, 3427, 538, 335, 2231, 1053, 547, 19845, 4696, 5990, 654, 17751, 607, 789, 5965, 585, 2852, 543, 513, 10715, 540, 3028, 269, 3040, 28210, 538, 519, 29271, 29036, 11908, 10239, 6258, 811, 3040, 19866, 5692, 540, 4518, 5530, 654, 11208, 9356, 938, 3465, 2421, 614, 1014, 6561, 593, 938, 3896, 3040, 476, 7785, 2698, 1053, 910, 811, 982, 3368, 616, 27756, 1053, 3040, 966, 2320, 656, 543, 14637, 27756, 2146, 8940, 269, 4599, 2426, 777, 269, 610, 326, 3040, 13815, 20421, 5386, 6575, 3091, 835, 540, 519, 1152, 4963, 4302, 3292, 538, 519, 772, 2529, 269, 3040, 29073, 1222, 7400, 18942, 6887, 538, 476, 1321, 5026, 610, 1289, 3040, 3557, 6361, 7308, 19603, 590, 11053, 9950, 6993, 8160, 269, 4099, 543, 1982, 476, 3583, 277, 268, 278, 5379, 268, 6507, 273, 271, 3040, 476, 3583, 260, 540, 12200, 2661, 593, 13464, 543, 3180, 4359, 5232, 3040, 13488, 1353, 3255, 21398, 19181, 5058, 16998, 4696, 2464, 476, 278, 268, 1321, 476, 272, 267, 6110, 8028, 3918, 595, 21283, 4785, 10361, 540, 3427, 3220, 269, 20900, 590, 326, 549, 3040, 10615, 540, 1520, 3939, 15516, 269, 20707, 9824, 10271, 523, 22295, 19006, 20978, 476, 14596, 266, 2910, 7419, 307, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21122, 532, 13756, 21661, 27639, 257, 607, 851, 540, 834, 25787, 1315, 9061, 4211, 8590, 10017, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 26787, 513, 21988, 5822, 19396, 538, 11233, 610, 2657, 3590, 31173, 2991, 4825, 790, 618, 692, 3721, 476, 272, 281, 10576, 2659, 16869, 1047, 543, 10341, 454, 29991, 1018, 1808, 1702, 543, 1983, 596, 6591, 1282, 707, 4876, 538, 6413, 610, 1072, 1062, 2359, 602, 1131, 581, 3407, 547, 3906, 5275, 15360, 2533, 269, 901, 949, 1331, 6791, 538, 2127, 971, 607, 2981, 1049, 10350, 267, 1857, 543, 18758, 7245, 267, 15424, 12602, 267, 610, 10721, 5718, 780, 7659, 9669, 1384, 265, 14484, 593, 3811, 3785, 267, 7341, 267, 610, 18517, 2429, 707, 4876, 563, 265, 6333, 2921, 11891, 540, 4143, 24501, 267, 17758, 267, 12326, 267, 543, 14245, 563, 265, 28651, 856, 547, 5449, 9164, 543, 27498, 945, 666, 948, 2697, 707, 9342, 543, 1761, 7418, 607, 513, 22639, 780, 3721, 476, 273, 281, 3194, 10369, 24637, 543, 14847, 6002, 454, 20059, 580, 622, 1699, 3466, 543, 7569, 538, 6413, 543, 1072, 1062, 17874, 676, 17265, 2344, 1382, 5359, 267, 11504, 19014, 267, 11836, 3318, 12205, 267, 543, 13033, 609, 29801, 543, 2872, 4966, 269, 21302, 15712, 547, 1174, 741, 3028, 17008, 267, 14499, 3631, 267, 6725, 2994, 267, 543, 7817, 25279, 780, 7659, 13832, 1384, 265, 22982, 2200, 899, 25153, 3041, 13328, 267, 5548, 334, 527, 974, 29362, 267, 610, 21025, 514, 8124, 1299, 7577, 5359, 547, 5531, 1239, 593, 519, 17874, 2872, 563, 265, 29934, 2621, 18799, 676, 1977, 5441, 540, 16195, 13079, 25150, 267, 2817, 22798, 2657, 5948, 267, 610, 2147, 3906, 547, 1451, 827, 6932, 2152, 543, 3255, 563, 265, 4045, 609, 620, 30282, 5121, 267, 21912, 1103, 2516, 267, 543, 2199, 11271, 540, 3084, 17874, 10909, 547, 4228, 707, 3060, 543, 2744, 4030, 883, 1655, 2853, 780, 3721, 476, 274, 281, 16294, 2659, 27010, 10748, 1466, 543, 6796, 20644, 902, 454, 26368, 799, 2010, 540, 10506, 610, 1072, 1949, 616, 1034, 2693, 547, 4324, 689, 707, 6791, 267, 2436, 789, 616, 4683, 4081, 2564, 7740, 267, 6917, 2565, 1569, 6703, 267, 12963, 5238, 267, 610, 3106, 2121, 7426, 269, 20895, 519, 9165, 540, 707, 17874, 2533, 267, 1519, 3584, 971, 607, 7580, 4058, 267, 2883, 1964, 31382, 267, 10512, 4398, 267, 10220, 267, 610, 14223, 780, 7659, 18745, 1384, 265, 14419, 952, 972, 568, 513, 1880, 13395, 1141, 707, 1995, 786, 1683, 3773, 1871, 563, 265, 3763, 2312, 11673, 540, 707, 6069, 17874, 3435, 267, 10223, 2640, 543, 4397, 4093, 585, 7218, 563, 265, 8073, 27764, 1229, 3028, 15004, 693, 8795, 3902, 2798, 547, 8597, 547, 1114, 23348, 543, 2115, 780, 3721, 476, 275, 281, 19193, 2659, 6355, 9980, 640, 543, 5136, 1555, 13397, 5151, 543, 18983, 1080, 454, 16521, 513, 1870, 11769, 1826, 1759, 593, 2188, 899, 15668, 4027, 267, 3454, 6286, 267, 543, 11889, 4170, 269, 15233, 585, 2556, 27121, 543, 14998, 998, 1533, 610, 10315, 8041, 3743, 585, 15725, 4213, 538, 707, 1858, 780, 7659, 6176, 1384, 265, 5871, 1870, 3889, 1331, 6852, 32388, 832, 4721, 267, 12352, 267, 3908, 15668, 3549, 267, 543, 14078, 563, 265, 6744, 609, 707, 2749, 610, 10315, 804, 17064, 781, 5604, 547, 3313, 10858, 12689, 12375, 543, 25430, 9979, 563, 265, 16731, 590, 10621, 10993, 585, 5583, 593, 11578, 532, 707, 1870, 2012, 267, 13844, 5313, 16108, 8446, 2338, 267, 543, 1620, 3454, 13800, 780, 3721, 476, 276, 281, 5590, 5455, 11038, 5004, 7010, 454, 15307, 28344, 4871, 6589, 267, 5491, 3556, 4393, 7207, 267, 1045, 334, 6005, 3301, 267, 543, 13258, 9477, 2645, 547, 2327, 5347, 2883, 4238, 269, 3958, 267, 2015, 11449, 6142, 4507, 8720, 6959, 543, 9631, 3827, 267, 2489, 15668, 267, 543, 14590, 4220, 780, 7659, 19672, 1384, 265, 14424, 2934, 543, 3790, 1851, 1585, 12948, 3681, 1354, 8939, 513, 3119, 2272, 8502, 563, 265, 21414, 8569, 24891, 5867, 899, 9796, 21595, 267, 22367, 701, 267, 610, 12384, 547, 7520, 5150, 8852, 563, 265, 10812, 6531, 2861, 8051, 3435, 971, 607, 16797, 20486, 6732, 267, 2473, 3266, 267, 610, 18610, 20486, 547, 25117, 536, 3739, 3157, 543, 4383, 6666, 2095, 3927, 780, 3721, 476, 277, 281, 12706, 12333, 28946, 2225, 543, 6250, 2225, 454, 8620, 513, 3896, 15386, 707, 4282, 267, 20340, 267, 2533, 267, 16499, 517, 10118, 267, 543, 2013, 2090, 547, 3715, 17258, 543, 4482, 1761, 7218, 269, 22676, 720, 1514, 2923, 9055, 267, 4757, 3377, 24393, 267, 2046, 13847, 267, 543, 6340, 4497, 906, 547, 3895, 707, 6216, 543, 1628, 15287, 1369, 3077, 6990, 780, 7659, 11150, 1384, 265, 5071, 513, 3593, 7888, 3896, 20979, 585, 3406, 9817, 1210, 17161, 2404, 609, 6413, 543, 1072, 1062, 17874, 563, 265, 18918, 8362, 593, 21912, 1103, 267, 12108, 267, 610, 9365, 547, 2671, 4143, 2872, 4930, 267, 7119, 538, 5717, 267, 543, 1921, 609, 4623, 6203, 563, 265, 16418, 856, 16823, 5816, 3101, 3255, 267, 15264, 11042, 267, 610, 10554, 8470, 23079, 547, 6542, 2219, 5718, 543, 5352, 5012, 780, 3721, 476, 278, 281, 8416, 543, 11622, 622, 2060, 12752, 28968, 454, 18794, 2199, 20830, 540, 16450, 267, 4123, 12205, 267, 610, 29748, 2516, 547, 2743, 8284, 11639, 267, 5385, 2093, 267, 543, 2263, 10319, 26136, 269, 12160, 622, 538, 29013, 3292, 267, 11925, 267, 610, 2866, 7886, 6035, 676, 9540, 6355, 4886, 15544, 610, 14662, 16800, 24784, 547, 3986, 707, 1983, 564, 543, 1332, 707, 3060, 780, 7659, 570, 716, 923, 1384, 265, 21480, 835, 6823, 14633, 11401, 609, 4648, 4171, 6791, 1264, 906, 16523, 267, 7234, 2009, 4745, 3785, 610, 3444, 1790, 668, 10899, 2238, 563, 265, 21816, 17621, 585, 12233, 5107, 610, 4604, 7158, 1369, 3906, 13988, 609, 707, 4690, 267, 2810, 4598, 543, 11744, 7029, 547, 2146, 1646, 563, 265, 17115, 7390, 13033, 2621, 543, 11349, 3347, 609, 2043, 945, 666, 6338, 596, 547, 17053, 7218, 610, 4891, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17806, 540, 17992, 1049, 26291, 910, 1325, 8725, 1299, 16819, 4521, 674, 3305, 26291, 7454, 13756, 585, 5398, 543, 2483, 16032, 13756, 585, 5398, 543, 6348, 16118, 9869, 8558, 543, 2657, 7010, 454, 10666, 519, 8191, 299, 14019, 717, 720, 814, 13736, 1876, 538, 6115, 9823, 2094, 476, 3192, 273, 269, 1261, 4867, 5713, 607, 18947, 21835, 538, 519, 6115, 667, 5861, 269, 5604, 540, 519, 1876, 6109, 540, 1325, 8725, 266, 289, 2273, 700, 10861, 269, 1261, 849, 5713, 607, 513, 18947, 20180, 528, 547, 519, 3782, 2872, 1895, 540, 519, 17874, 6109, 540, 1325, 29166, 345, 1299, 9370, 531, 269, 11374, 2185, 1296, 593, 519, 5234, 540, 519, 2136, 2276, 14130, 9730, 593, 8534, 543, 5274, 8249, 267, 32632, 6039, 538, 519, 10029, 540, 5518, 13343, 3240, 25020, 607, 3493, 14280, 19608, 14199, 585, 2657, 18489, 3175, 630, 600, 784, 824, 7158, 1040, 769, 476, 2735, 272, 267, 6004, 269, 717, 720, 8547, 519, 2817, 5948, 540, 5398, 9869, 8558, 543, 2657, 7010, 630, 2793, 15771, 264, 543, 646, 6039, 607, 5518, 540, 602, 3919, 689, 476, 2735, 272, 547, 476, 1001, 272, 269, 6004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1169, 1808, 6712, 540, 519, 6174, 1031, 3568, 17386, 17114, 540, 519, 20919, 267, 543, 519, 6006, 689, 799, 621, 568, 1031, 568, 711, 791, 1478, 1639, 610, 4957, 538, 1022, 2463, 269, 1703, 568, 1100, 20049, 540, 2694, 2469, 4464, 693, 1142, 1900, 540, 519, 1184, 607, 609, 22740, 1944, 17581, 523, 1957, 269, 634, 2063, 6656, 22862, 689, 513, 11480, 540, 519, 7041, 3568, 593, 922, 2627, 519, 6213, 20919, 6404, 538, 519, 1482, 17114, 607, 519, 1101, 269, 1703, 568, 4986, 547, 2061, 6207, 7833, 640, 540, 2164, 1701, 3244, 12121, 781, 2792, 540, 1010, 1184, 547, 519, 7353, 4919, 5980, 729, 4607, 609, 30898, 15903, 15131, 267, 855, 711, 5976, 9227, 713, 519, 2458, 617, 542, 1184, 2760, 4667, 547, 723, 1044, 3144, 909, 4849, 676, 835, 610, 1079, 4603, 619, 6745, 898, 15151, 5747, 513, 2067, 2669, 267, 610, 5310, 649, 1058, 2161, 4682, 883, 513, 2186, 540, 959, 766, 267, 585, 621, 729, 711, 2394, 1296, 1310, 602, 621, 729, 2847, 1882, 563, 310, 269, 6833, 787, 267, 606, 1977, 267, 3773, 519, 3505, 2381, 908, 7135, 540, 8988, 547, 519, 900, 13955, 269, 634, 1840, 540, 513, 1906, 12772, 540, 519, 2706, 333, 520, 550, 3070, 540, 2178, 16139, 1470, 5991, 527, 3433, 540, 8988, 267, 610, 12547, 540, 8988, 15702, 538, 24277, 540, 20342, 547, 799, 4568, 729, 1287, 3773, 543, 12699, 547, 519, 14495, 1448, 267, 547, 1256, 513, 3983, 900, 13955, 540, 2458, 617, 542, 17296, 267, 1185, 267, 6833, 787, 7150, 267, 1044, 1336, 547, 18836, 8748, 3601, 540, 5386, 2681, 543, 11958, 4800, 563, 288, 1297, 540, 6901, 941, 1287, 1500, 676, 1114, 4600, 609, 519, 1585, 8392, 1938, 811, 610, 1447, 19729, 538, 4568, 269, 7324, 891, 941, 1346, 540, 20017, 26606, 267, 16139, 1756, 267, 536, 10740, 267, 7513, 267, 524, 28240, 267, 9770, 267, 1193, 2632, 1756, 267, 16864, 267, 13101, 267, 543, 13058, 563, 10666, 519, 1032, 476, 6642, 275, 700, 625, 1122, 836, 3812, 513, 5386, 2458, 617, 542, 900, 579, 3149, 542, 585, 8228, 593, 1957, 267, 4837, 267, 3092, 269, 1677, 519, 1184, 646, 5795, 519, 2012, 14163, 9189, 12544, 2012, 602, 4667, 547, 723, 740, 22363, 547, 621, 267, 4352, 621, 814, 1831, 2864, 14845, 2094, 519, 1482, 2140, 729, 2016, 547, 519, 15074, 520, 3626, 17296, 1184, 563, 2467, 568, 1100, 2197, 538, 519, 1158, 267, 2705, 267, 1141, 519, 2458, 617, 1470, 7302, 3271, 728, 540, 8988, 1184, 568, 607, 2442, 607, 538, 3013, 269, 769, 713, 2197, 519, 5478, 540, 519, 1957, 814, 1044, 3144, 909, 676, 1896, 10909, 593, 513, 1804, 4336, 543, 20483, 676, 9645, 3854, 269, 2353, 7965, 3100, 547, 723, 1044, 1147, 25236, 539, 543, 519, 1957, 5828, 856, 5176, 3501, 538, 1169, 2463, 563, 763, 7411, 609, 519, 1225, 1782, 3361, 676, 519, 7269, 540, 519, 1957, 1489, 5526, 547, 723, 1044, 3592, 7357, 1147, 25236, 539, 563, 763, 2458, 617, 542, 4574, 540, 16450, 616, 5423, 30109, 2390, 519, 19596, 610, 536, 776, 3279, 1957, 267, 799, 4196, 547, 1832, 519, 6213, 4670, 593, 519, 2627, 543, 865, 2097, 883, 2673, 3346, 609, 519, 2942, 267, 10063, 1424, 519, 20923, 3877, 269, 7102, 8723, 3043, 1957, 666, 581, 1031, 3177, 621, 568, 26947, 6986, 269, 1284, 917, 540, 855, 1906, 4574, 602, 2626, 713, 1271, 2783, 269, 681, 633, 781, 267, 29017, 324, 781, 267, 543, 23415, 22138, 781, 616, 540, 6986, 2298, 543, 666, 581, 1031, 609, 3106, 282, 1866, 1590, 581, 4603, 539, 609, 269, 0, 291, 600, 2444, 639, 267, 14408, 2793, 1107, 634, 1306, 559, 630, 335, 675, 321, 1042, 264, 26768, 7504, 568, 835, 540, 519, 9510, 7504, 14981, 538, 519, 1158, 563, 6097, 547, 3140, 6054, 267, 519, 8129, 540, 26768, 7504, 4266, 1394, 547, 476, 10384, 271, 1296, 3516, 607, 621, 568, 13747, 676, 519, 2178, 7633, 543, 6986, 1973, 2687, 547, 519, 6644, 540, 12665, 563, 306, 344, 6319, 17188, 7415, 3007, 547, 26768, 9640, 543, 741, 14981, 267, 1141, 519, 26768, 21696, 8433, 729, 3964, 693, 519, 12080, 540, 11982, 543, 3397, 337, 4115, 21637, 538, 476, 1960, 275, 267, 2687, 547, 13930, 540, 16581, 3687, 3122, 267, 13259, 24703, 1627, 611, 880, 563, 3891, 5143, 14408, 2793, 602, 835, 540, 519, 1034, 1271, 4247, 540, 519, 5604, 568, 547, 8190, 713, 3662, 5763, 543, 1020, 922, 9742, 998, 1896, 5773, 602, 723, 1044, 8045, 936, 519, 2250, 1296, 538, 16850, 547, 8190, 519, 26768, 9640, 543, 1020, 741, 9742, 269, 2290, 540, 891, 5773, 3769, 1615, 340, 766, 540, 968, 294, 2940, 30688, 7734, 892, 543, 12428, 543, 2296, 1780, 7964, 563, 17809, 4575, 3621, 543, 2930, 5528, 267, 10074, 267, 18915, 11955, 543, 3049, 9360, 2556, 585, 891, 9640, 543, 9591, 588, 8712, 538, 1082, 2127, 267, 941, 849, 1851, 519, 3800, 7550, 267, 2687, 547, 1627, 611, 880, 563, 3891, 15091, 602, 519, 2318, 2360, 540, 713, 1719, 786, 2408, 811, 1282, 519, 1985, 3942, 267, 2523, 1310, 519, 10661, 540, 1082, 2413, 11396, 547, 9742, 26768, 9640, 543, 519, 10661, 540, 5198, 13475, 563, 763, 7504, 588, 8712, 3262, 538, 1034, 16899, 971, 607, 281, 1546, 597, 661, 3960, 528, 267, 13201, 10440, 267, 670, 4821, 267, 12456, 2444, 639, 543, 922, 24781, 543, 22176, 653, 334, 267, 4061, 1169, 9742, 518, 814, 10300, 614, 5049, 540, 930, 1826, 563, 295, 531, 614, 5049, 616, 2356, 19882, 676, 9742, 267, 3023, 267, 610, 2085, 563, 303, 675, 321, 1042, 26768, 9640, 616, 513, 2203, 538, 16169, 267, 5898, 543, 26176, 2088, 607, 789, 4734, 513, 1390, 3310, 593, 741, 9742, 619, 543, 18798, 1813, 547, 741, 2623, 543, 519, 10305, 23243, 873, 689, 824, 2831, 971, 607, 5100, 1145, 267, 14017, 543, 519, 28795, 1560, 563, 306, 344, 6319, 568, 519, 1655, 1747, 538, 519, 2898, 1158, 547, 6718, 3020, 26768, 1973, 9640, 269, 634, 4778, 540, 9640, 11478, 538, 16850, 616, 26070, 29744, 968, 531, 11860, 636, 564, 5608, 1025, 1180, 267, 2699, 267, 9932, 267, 12457, 267, 543, 3043, 563, 304, 611, 880, 20109, 2390, 519, 2956, 540, 519, 6986, 321, 1042, 26768, 7504, 607, 513, 3084, 4199, 543, 922, 2640, 689, 519, 2804, 2427, 543, 519, 13766, 540, 2810, 922, 2338, 543, 8497, 621, 689, 519, 1981, 540, 8623, 12515, 543, 14686, 3662, 3676, 563, 3891, 8612, 602, 606, 5993, 13350, 15324, 3292, 568, 4294, 538, 1840, 547, 6375, 1944, 9640, 609, 15324, 10074, 2687, 547, 519, 9516, 3292, 543, 9013, 4835, 543, 5007, 15495, 267, 17516, 20555, 543, 3246, 2973, 1216, 2959, 585, 6704, 563, 2026, 585, 7504, 31024, 267, 621, 2337, 6616, 519, 22871, 540, 1022, 6986, 321, 1042, 26768, 7504, 1141, 621, 568, 31024, 539, 609, 12400, 593, 519, 1283, 540, 519, 8405, 593, 519, 1318, 2427, 547, 10646, 621, 689, 519, 1866, 267, 607, 1627, 611, 880, 5018, 563, 6097, 547, 7194, 540, 519, 16581, 12080, 267, 519, 1297, 540, 519, 6986, 321, 1042, 26768, 7504, 10805, 538, 16850, 6603, 547, 476, 278, 267, 1822, 563, 306, 344, 6319, 814, 519, 4719, 1118, 5346, 540, 519, 26768, 7504, 267, 799, 5129, 513, 2101, 1909, 538, 3384, 3486, 7504, 14981, 2687, 547, 5784, 540, 519, 12665, 538, 519, 8433, 540, 519, 21696, 563, 304, 611, 880, 11329, 856, 602, 6986, 321, 1042, 26768, 9640, 616, 4867, 29633, 689, 16850, 547, 26288, 543, 12925, 1152, 1317, 540, 519, 796, 10561, 28170, 633, 2804, 3800, 593, 16850, 563, 1103, 476, 2735, 280, 267, 16850, 8678, 519, 2622, 26768, 21696, 9257, 630, 23354, 9816, 264, 538, 25611, 267, 16848, 267, 1141, 519, 26219, 11396, 585, 9960, 6986, 321, 1042, 26768, 9640, 616, 2808, 1851, 519, 1034, 4583, 538, 519, 1158, 1813, 547, 741, 4583, 14981, 3262, 538, 1082, 17294, 919, 269, 634, 2344, 540, 1546, 597, 661, 3960, 528, 267, 607, 4330, 676, 519, 2296, 2951, 518, 15248, 968, 2304, 928, 18671, 660, 5608, 568, 519, 1034, 1271, 2344, 585, 11449, 6986, 321, 1042, 26768, 9640, 538, 782, 540, 519, 7489, 11782, 563, 20812, 321, 1695, 590, 548, 2006, 1315, 21203, 6993, 13034, 817, 1735, 0, 28657, 568, 1634, 585, 922, 4763, 609, 18939, 540, 7264, 689, 782, 936, 519, 1158, 269, 2986, 782, 519, 4654, 9275, 267, 3943, 543, 2296, 616, 2808, 693, 519, 1283, 540, 519, 1592, 540, 3730, 4654, 547, 1451, 950, 6236, 6294, 7992, 547, 519, 2197, 269, 634, 11776, 3292, 6035, 676, 519, 2229, 1449, 15334, 538, 1312, 4654, 267, 799, 1797, 602, 8071, 2684, 2158, 723, 513, 1434, 4960, 540, 8011, 532, 1256, 952, 741, 2296, 1983, 616, 711, 607, 2178, 563, 10303, 16899, 899, 20563, 616, 15866, 3943, 18702, 267, 21939, 883, 4948, 1272, 538, 891, 4525, 568, 2653, 585, 1346, 538, 824, 2527, 27360, 564, 2477, 269, 3767, 568, 519, 942, 547, 32164, 3433, 267, 607, 519, 5313, 2229, 814, 7000, 922, 9837, 547, 10950, 936, 513, 2929, 11082, 547, 4516, 936, 519, 1985, 1614, 1296, 1247, 8497, 741, 6561, 267, 540, 799, 3943, 568, 513, 851, 269, 1898, 269, 4855, 856, 875, 547, 6294, 3433, 547, 4516, 607, 513, 8071, 25869, 7064, 547, 891, 5383, 543, 3292, 6035, 563, 12749, 3943, 28393, 806, 454, 2467, 616, 1082, 8071, 25869, 2950, 2066, 4516, 538, 1142, 540, 922, 16899, 543, 11182, 269, 3683, 476, 736, 260, 540, 519, 8225, 2551, 814, 3943, 607, 741, 3993, 11469, 543, 930, 3506, 4001, 1312, 538, 3943, 543, 538, 2296, 269, 634, 16899, 2630, 616, 1806, 540, 4525, 609, 519, 5207, 5834, 540, 8071, 2684, 2158, 563, 272, 269, 1715, 19839, 1873, 1157, 454, 6124, 19839, 1873, 1157, 568, 519, 1152, 11662, 538, 4516, 13166, 7396, 538, 519, 11156, 607, 19636, 267, 543, 513, 3791, 540, 519, 2551, 14439, 607, 21473, 322, 25869, 269, 634, 21473, 322, 25869, 2551, 540, 519, 11662, 568, 476, 23056, 267, 25148, 1004, 267, 519, 17055, 2516, 1373, 13840, 689, 6298, 2103, 543, 645, 2001, 976, 563, 4415, 513, 2551, 540, 476, 6321, 272, 267, 8182, 8071, 2684, 2158, 538, 14411, 267, 713, 11662, 814, 519, 2034, 5207, 8071, 25869, 2551, 538, 4516, 269, 634, 2749, 540, 31747, 267, 519, 3084, 3854, 267, 568, 1634, 547, 723, 519, 4102, 30473, 14114, 660, 4115, 2551, 538, 519, 2197, 269, 1452, 7264, 616, 519, 18939, 540, 3943, 11082, 689, 519, 1101, 5951, 543, 3943, 2229, 2533, 616, 2139, 538, 476, 1839, 4525, 540, 519, 11662, 563, 763, 21473, 322, 25869, 2950, 540, 22598, 616, 5631, 1336, 538, 3798, 3000, 2023, 267, 2836, 326, 776, 267, 12142, 6261, 4954, 267, 12844, 5500, 6807, 267, 30086, 3288, 645, 7865, 543, 13458, 5211, 267, 609, 811, 982, 476, 3199, 267, 1822, 10529, 269, 901, 2551, 2799, 676, 476, 1240, 260, 1063, 476, 1220, 277, 543, 476, 1001, 272, 267, 950, 1896, 540, 519, 1004, 20402, 10294, 547, 581, 540, 3943, 610, 13019, 330, 6598, 5169, 563, 275, 269, 3703, 12052, 454, 23873, 12052, 814, 5176, 476, 2568, 267, 1822, 3703, 9069, 2103, 945, 3409, 602, 3943, 568, 741, 3993, 11469, 543, 568, 835, 540, 519, 2063, 8225, 16899, 547, 10950, 3943, 18702, 13896, 1317, 540, 922, 11585, 269, 4014, 621, 568, 711, 519, 1034, 4922, 9275, 1893, 538, 519, 11662, 267, 972, 616, 1082, 10529, 540, 3943, 607, 513, 2034, 1893, 1813, 547, 519, 4367, 540, 3943, 2069, 3292, 538, 519, 3148, 269, 901, 1797, 602, 3943, 11082, 543, 741, 1453, 786, 581, 2111, 547, 3362, 3082, 543, 3136, 547, 10141, 519, 1893, 1256, 952, 711, 609, 1101, 5108, 10529, 563, 763, 11662, 540, 20563, 568, 1753, 547, 519, 4102, 2551, 540, 3943, 18702, 7264, 609, 936, 5216, 2929, 1004, 945, 3717, 519, 1893, 267, 799, 4564, 476, 11152, 260, 540, 782, 4961, 269, 898, 568, 849, 519, 1152, 11662, 602, 19528, 3943, 607, 606, 4013, 1893, 543, 1082, 10529, 616, 5065, 3943, 10529, 269, 1703, 616, 1896, 7648, 1369, 519, 11662, 3294, 267, 855, 519, 2749, 540, 27292, 568, 519, 1152, 4099, 1141, 2296, 568, 31402, 563, 293, 652, 11040, 616, 513, 8748, 1259, 547, 8661, 8071, 25869, 6561, 543, 547, 3251, 538, 5905, 609, 519, 8071, 25869, 2146, 538, 4516, 269, 1703, 616, 3833, 513, 1906, 2621, 8345, 2066, 4516, 538, 1114, 16899, 1315, 11182, 602, 948, 1921, 891, 2516, 543, 596, 1932, 666, 6443, 873, 2899, 596, 723, 3964, 3054, 563, 1607, 11812, 2934, 7544, 543, 7574, 12644, 543, 568, 5360, 2939, 539, 676, 513, 2344, 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 ]
[ 547, 1118, 513, 4570, 6476, 1063, 3069, 543, 8343, 563, 3080, 540, 519, 9030, 2042, 538, 519, 7634, 540, 29681, 568, 519, 1164, 4110, 540, 10462, 607, 547, 519, 10727, 540, 519, 2596, 1344, 269, 901, 2501, 5631, 689, 5359, 676, 519, 1367, 5326, 619, 267, 543, 621, 568, 11630, 711, 1152, 547, 519, 538, 3147, 340, 20874, 543, 9631, 3827, 602, 21656, 1022, 16148, 1826, 540, 8343, 267, 855, 849, 547, 606, 3768, 529, 743, 2216, 2179, 540, 24890, 676, 519, 5171, 602, 949, 581, 3978, 2614, 547, 23380, 622, 519, 3003, 1353, 269, 28055, 338, 723, 1044, 1500, 547, 27298, 891, 24604, 676, 12633, 908, 1978, 3344, 540, 519, 29681, 1184, 609, 12214, 2829, 267, 543, 930, 3730, 2164, 723, 1044, 5833, 267, 855, 519, 2243, 607, 547, 1175, 1018, 891, 12214, 7422, 1611, 538, 2474, 540, 519, 9909, 568, 1869, 2484, 689, 2348, 513, 598, 5477, 2626, 269, 9182, 267, 1034, 22602, 7048, 547, 513, 9645, 4110, 593, 1344, 6508, 689, 513, 1353, 540, 741, 1378, 9909, 269, 901, 585, 10623, 1080, 519, 2640, 540, 2348, 1344, 689, 513, 4763, 540, 2959, 267, 855, 621, 1281, 9004, 1034, 540, 519, 10462, 607, 547, 519, 10727, 540, 519, 2596, 1239, 269, 1452, 9270, 4019, 609, 3160, 3196, 547, 519, 7634, 602, 568, 1373, 4080, 538, 713, 1459, 960, 267, 543, 594, 723, 4061, 4553, 1018, 814, 1831, 3044, 2259, 267, 543, 723, 1500, 513, 9836, 1353, 540, 1250, 1378, 5326, 3270, 269, 634, 4901, 538, 713, 3184, 786, 581, 1759, 593, 519, 2164, 540, 602, 1353, 563, 1103, 11047, 1276, 607, 519, 3119, 3483, 729, 547, 3313, 519, 2470, 543, 5169, 540, 519, 5326, 9115, 267, 519, 1152, 10421, 729, 547, 2594, 2614, 9909, 547, 13822, 513, 11347, 3732, 269, 9182, 267, 1100, 2027, 12417, 941, 2556, 267, 543, 594, 8806, 6854, 513, 21641, 693, 519, 2427, 540, 519, 5127, 269, 24269, 594, 678, 748, 539, 2614, 547, 3314, 602, 594, 729, 1818, 513, 5326, 1353, 267, 594, 1500, 930, 5618, 4967, 607, 547, 519, 1641, 2339, 540, 519, 9909, 689, 799, 594, 1185, 530, 2586, 539, 267, 952, 1022, 269, 1306, 4166, 607, 2009, 1310, 8375, 538, 519, 6640, 267, 594, 1031, 891, 4967, 267, 1927, 609, 8726, 3965, 594, 1185, 540, 3606, 3877, 267, 547, 5965, 513, 6609, 540, 519, 9909, 269, 4438, 519, 10916, 540, 713, 1344, 267, 594, 6836, 547, 2057, 1179, 6819, 607, 547, 519, 5169, 540, 519, 9909, 267, 865, 602, 519, 7872, 540, 12018, 519, 973, 565, 3005, 540, 519, 3877, 1131, 581, 31965, 267, 855, 2663, 538, 519, 1554, 267, 594, 12649, 519, 2594, 540, 1142, 540, 519, 3781, 779, 9909, 547, 1294, 952, 594, 1223, 2697, 519, 2707, 540, 519, 17003, 602, 15748, 519, 5326, 269, 634, 5638, 540, 891, 8039, 267, 1927, 609, 519, 3312, 5638, 540, 519, 9909, 267, 616, 519, 3119, 13279, 540, 519, 8753, 602, 786, 581, 4080, 23954, 269, 3143, 1797, 540, 23243, 1063, 31087, 543, 715, 3918, 300, 3207, 941, 2139, 563, 7093, 14083, 7156, 540, 519, 1544, 540, 5650, 8612, 602, 972, 1131, 581, 930, 5413, 538, 12145, 519, 1353, 547, 1346, 9909, 602, 4125, 519, 3003, 5326, 1184, 267, 1519, 519, 1909, 540, 519, 21883, 3965, 1062, 267, 543, 519, 9909, 602, 941, 15069, 15748, 676, 12214, 15128, 941, 4061, 16934, 269, 1306, 7074, 4505, 267, 891, 9909, 941, 3362, 4857, 269, 1280, 1383, 267, 1250, 3044, 5114, 547, 1651, 760, 1304, 14000, 568, 513, 5326, 538, 799, 594, 993, 3843, 547, 1265, 513, 13962, 693, 799, 594, 666, 1205, 513, 7594, 267, 855, 585, 835, 2601, 610, 1776, 267, 594, 993, 8572, 547, 798, 865, 269, 6684, 267, 1250, 3044, 5114, 547, 3478, 1932, 4411, 1282, 519, 3781, 568, 513, 5326, 538, 799, 594, 993, 15877, 930, 6221, 540, 7802, 630, 23719, 519, 4743, 540, 19849, 14536, 602, 1522, 581, 4397, 1040, 6270, 9909, 941, 711, 6592, 269, 1703, 568, 513, 7872, 267, 540, 1576, 267, 602, 519, 1198, 540, 513, 12214, 17003, 1522, 849, 2408, 538, 513, 1447, 3362, 25992, 1106, 267, 538, 799, 2013, 621, 1058, 1397, 909, 538, 519, 2079, 540, 519, 2854, 2594, 267, 855, 1100, 23053, 540, 971, 2360, 941, 1336, 563, 763, 1353, 729, 5645, 593, 585, 513, 1974, 540, 835, 3923, 267, 1282, 799, 15823, 5094, 9909, 941, 6592, 269, 901, 729, 513, 2864, 9602, 3923, 799, 594, 6170, 693, 1753, 267, 543, 538, 799, 594, 7722, 538, 1100, 8966, 2238, 267, 543, 729, 711, 1641, 547, 1022, 3929, 8374, 269, 7439, 729, 594, 30223, 676, 1022, 2168, 22074, 267, 11735, 689, 18720, 8611, 267, 799, 594, 723, 538, 513, 7646, 1106, 1169, 5614, 269, 634, 18720, 8611, 729, 267, 538, 513, 1259, 267, 606, 10697, 547, 519, 1353, 267, 607, 621, 3361, 811, 24971, 1282, 519, 3781, 982, 1131, 3921, 27274, 1491, 1747, 267, 543, 3976, 2799, 519, 1297, 540, 15422, 9909, 269, 634, 8753, 6603, 689, 519, 5326, 1353, 786, 723, 547, 581, 14648, 538, 519, 1769, 540, 891, 2175, 282, 602, 568, 267, 789, 4019, 547, 513, 1808, 1367, 267, 27229, 538, 3339, 2168, 543, 2790, 2783, 267, 543, 538, 513, 5266, 9350, 543, 11552, 1203, 995, 3510, 269, 898, 568, 10257, 547, 9959, 602, 789, 786, 849, 4019, 547, 1022, 824, 3339, 1367, 896, 2147, 6381, 267, 855, 547, 1018, 6708, 1022, 1808, 3932, 568, 10858, 547, 606, 1367, 4171, 2168, 610, 2790, 2783, 568, 9402, 267, 945, 568, 896, 3929, 8082, 267, 610, 4171, 3510, 15320, 538, 1022, 824, 1713, 2463, 689, 602, 17888, 1282, 519, 1353, 568, 513, 2243, 602, 786, 723, 547, 581, 2451, 585, 2417, 7634, 563, 4407, 519, 19231, 593, 519, 9165, 540, 519, 14374, 676, 2601, 540, 519, 2027, 2175, 896, 799, 621, 3576, 1747, 7182, 519, 31675, 540, 519, 2164, 547, 513, 7222, 4110, 267, 621, 849, 23352, 1454, 540, 519, 10539, 602, 27788, 519, 7634, 540, 7294, 543, 3810, 3929, 9909, 269, 769, 11047, 1276, 607, 519, 3119, 6662, 540, 519, 1353, 729, 606, 1620, 540, 519, 3355, 5123, 540, 519, 2596, 5326, 1184, 267, 799, 1058, 581, 519, 1482, 538, 782, 2665, 267, 713, 5187, 2305, 540, 519, 6151, 1570, 609, 799, 519, 1353, 568, 7255, 2306, 519, 7664, 540, 519, 2164, 14320, 4443, 543, 811, 598, 5477, 563, 763, 1353, 6920, 602, 1142, 5326, 267, 1256, 952, 621, 5526, 547, 581, 6024, 267, 2965, 5161, 540, 513, 19588, 540, 1114, 4798, 269, 1452, 616, 3144, 689, 1995, 267, 855, 538, 1034, 8320, 513, 6249, 267, 607, 621, 6818, 538, 519, 21883, 3965, 543, 568, 5293, 593, 547, 519, 5326, 267, 568, 1152, 606, 2856, 267, 513, 2489, 1641, 7493, 539, 689, 519, 4890, 1995, 2864, 982, 519, 1995, 3294, 269, 4935, 267, 513, 4901, 602, 3576, 1747, 1282, 519, 1554, 568, 711, 8659, 538, 519, 21883, 3965, 607, 513, 4901, 267, 855, 538, 519, 1106, 540, 930, 2460, 540, 519, 1641, 2339, 540, 519, 4901, 267, 5310, 10483, 676, 513, 1906, 540, 519, 1713, 3877, 267, 607, 13564, 10706, 4798, 269, 769, 827, 3368, 540, 519, 6592, 9909, 267, 1152, 835, 6249, 729, 4857, 267, 855, 891, 941, 2110, 5326, 9696, 267, 930, 540, 873, 711, 1454, 811, 982, 15998, 267, 543, 519, 15422, 9909, 941, 17216, 28263, 676, 4798, 602, 1223, 711, 581, 27416, 269, 1280, 3236, 267, 835, 540, 519, 5326, 5359, 2854, 5612, 1310, 8375, 538, 519, 6640, 5956, 267, 968, 5475, 930, 5326, 9696, 799, 594, 3112, 3314, 267, 824, 982, 602, 789, 11478, 2507, 892, 1703, 616, 824, 2147, 3688, 538, 519, 2594, 267, 543, 796, 23896, 2406, 1082, 811, 602, 1705, 711, 1118, 2614, 540, 606, 12705, 547, 1205, 883, 519, 2594, 269, 634, 3476, 543, 811, 12667, 9909, 23223, 2406, 2270, 811, 982, 835, 6249, 269, 769, 1079, 2665, 267, 3670, 5094, 4798, 941, 4857, 563, 763, 6228, 540, 513, 19588, 540, 4798, 538, 519, 9909, 6941, 930, 540, 519, 4524, 569, 543, 20093, 1738, 1915, 540, 519, 5326, 2962, 269, 634, 6727, 2242, 538, 519, 2962, 602, 616, 865, 8984, 540, 519, 3476, 9909, 616, 5631, 519, 2164, 540, 10593, 547, 1007, 4798, 269, 14134, 338, 1131, 3100, 1447, 29737, 952, 972, 941, 17386, 19944, 340, 885, 1063, 519, 4798, 865, 602, 741, 3020, 1915, 607, 3334, 540, 513, 3126, 540, 3982, 14501, 1131, 581, 10423, 267, 855, 519, 19944, 8462, 568, 9633, 539, 676, 519, 1249, 602, 519, 4259, 543, 930, 610, 782, 540, 519, 3197, 616, 4122, 5645, 4464, 689, 835, 6249, 547, 519, 1985, 269, 5015, 267, 519, 6249, 2242, 616, 711, 2141, 3982, 267, 543, 538, 930, 2665, 267, 519, 5326, 2962, 568, 10452, 1079, 4798, 14626, 1211, 958, 610, 3124, 2299, 563, 13434, 10744, 540, 519, 6249, 607, 519, 1455, 14009, 540, 519, 23608, 2707, 543, 519, 10991, 5326, 1995, 568, 519, 1883, 547, 519, 8446, 540, 519, 5326, 2959, 269, 898, 1797, 602, 649, 1590, 1413, 711, 585, 519, 8129, 540, 519, 9909, 607, 971, 267, 855, 585, 519, 5094, 2959, 540, 519, 1114, 4798, 540, 1142, 5326, 282, 711, 8209, 585, 2959, 538, 938, 1378, 1995, 267, 855, 2959, 538, 1022, 1995, 540, 799, 649, 723, 1702, 282, 711, 585, 2833, 5473, 519, 5326, 13685, 2933, 267, 855, 585, 2833, 1644, 547, 519, 4798, 540, 519, 9909, 269, 1323, 1620, 540, 519, 15116, 885, 540, 519, 7681, 1184, 568, 11338, 1898, 269, 2368, 540, 1346, 10858, 547, 3965, 538, 2489, 941, 5941, 538, 519, 18631, 3184, 269, 1452, 543, 1866, 540, 899, 2470, 616, 3226, 10423, 538, 519, 9909, 602, 616, 711, 1641, 547, 1852, 676, 519, 3206, 1184, 269, 1280, 3236, 267, 2921, 513, 1880, 2962, 543, 711, 2921, 602, 2962, 616, 1360, 5702, 2404, 538, 3965, 267, 543, 519, 5326, 1281, 711, 10646, 1063, 519, 1079, 269, 6684, 267, 519, 11984, 1063, 1354, 543, 1310, 568, 16053, 269, 589, 2388, 799, 616, 8806, 14719, 730, 2408, 538, 9909, 607, 952, 789, 1185, 2907, 7018, 267, 543, 13030, 17930, 269, 15706, 945, 616, 4448, 538, 930, 1259, 267, 1870, 27498, 267, 585, 1383, 267, 616, 11884, 2655, 21114, 585, 1142, 824, 269, 2859, 5432, 1919, 267, 3871, 267, 610, 4025, 616, 2655, 21114, 585, 1346, 602, 616, 1447, 5432, 267, 543, 865, 593, 563, 763, 1198, 540, 891, 1997, 894, 2655, 4801, 267, 607, 649, 949, 1289, 873, 267, 4724, 635, 2364, 908, 519, 8446, 540, 519, 5326, 2959, 568, 547, 930, 6708, 15558, 676, 519, 1249, 602, 972, 568, 15151, 930, 2186, 540, 513, 3965, 10250, 540, 519, 3350, 540, 519, 4798, 689, 519, 3312, 2707, 998, 519, 3965, 1184, 547, 519, 5326, 269, 634, 3961, 540, 519, 2959, 585, 1034, 540, 519, 9909, 3769, 538, 1250, 1353, 267, 952, 711, 6654, 689, 519, 5326, 2594, 267, 729, 10423, 3592, 5612, 950, 513, 2689, 540, 519, 1995, 540, 519, 18631, 1554, 729, 17298, 563, 2467, 568, 1100, 991, 547, 2628, 1022, 2027, 3007, 547, 519, 3877, 602, 616, 6537, 689, 3965, 547, 2347, 519, 10991, 2833, 269, 1358, 616, 3274, 3688, 799, 616, 2404, 538, 519, 3965, 4859, 609, 519, 1641, 2339, 540, 519, 5326, 4798, 269, 1358, 616, 711, 2356, 6537, 689, 4859, 607, 2347, 2833, 267, 4352, 789, 949, 581, 269, 11153, 540, 519, 5326, 2833, 6592, 538, 519, 1353, 941, 15151, 968, 323, 22148, 689, 6006, 2223, 865, 547, 3717, 267, 547, 3514, 519, 19670, 4798, 269, 4107, 9909, 267, 2705, 267, 616, 968, 18478, 547, 1931, 31865, 602, 568, 267, 789, 616, 10659, 540, 1082, 5094, 3688, 689, 519, 2139, 3761, 269, 1452, 7586, 4328, 3688, 602, 4283, 883, 519, 10991, 2833, 616, 711, 8209, 8823, 540, 2833, 540, 519, 5326, 518, 5128, 269, 1358, 949, 2097, 689, 8823, 540, 1018, 646, 814, 2938, 267, 610, 4862, 267, 610, 1224, 827, 267, 610, 952, 1010, 9345, 568, 12667, 2614, 267, 789, 949, 581, 8806, 8823, 540, 1010, 1554, 323, 3195, 338, 269, 1809, 8259, 972, 568, 513, 968, 4148, 1662, 540, 5813, 2223, 4986, 666, 2408, 538, 519, 5326, 8259, 621, 729, 2907, 1459, 538, 519, 3965, 1062, 563, 2108, 22818, 519, 1655, 3964, 267, 856, 540, 782, 540, 519, 2188, 602, 3310, 938, 9909, 267, 568, 519, 1909, 540, 2621, 538, 519, 18631, 1554, 2223, 26237, 1867, 13198, 576, 543, 590, 20235, 269, 901, 4276, 1063, 9909, 543, 519, 2621, 540, 519, 1554, 568, 1945, 602, 594, 6444, 1082, 1296, 3516, 269, 901, 729, 1279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8101, 9541, 3564, 1018, 6093, 3959, 7835, 27167, 269, 9182, 267, 891, 5624, 2611, 896, 16467, 539, 543, 17225, 2949, 2804, 3356, 780, 25842, 540, 2349, 32484, 7046, 19791, 593, 9483, 4886, 692, 8139, 519, 6286, 540, 1025, 32484, 1930, 2127, 3340, 6313, 1312, 1463, 543, 9940, 4539, 593, 2199, 11615, 269, 2368, 1883, 5222, 1331, 1384, 272, 269, 25841, 16296, 18880, 910, 2349, 32484, 1930, 2127, 4043, 547, 2539, 7404, 3959, 2418, 1813, 547, 12716, 4145, 543, 9228, 4220, 2404, 609, 2713, 2282, 873, 269, 901, 5786, 538, 1871, 11527, 8460, 21427, 262, 9698, 543, 24115, 2471, 1007, 5092, 1369, 519, 4299, 2950, 269, 5047, 267, 8519, 3959, 3454, 19614, 3970, 1857, 7482, 2139, 585, 5989, 9283, 543, 1898, 2533, 563, 273, 269, 2598, 10293, 540, 1763, 6342, 543, 24371, 910, 18877, 4478, 1025, 32484, 1930, 2127, 949, 1995, 2551, 7771, 607, 7264, 882, 11229, 5275, 10930, 5054, 609, 1732, 29319, 269, 6684, 267, 4213, 1522, 1904, 547, 4734, 585, 811, 19311, 6753, 267, 4611, 538, 2816, 9271, 543, 4389, 5010, 2534, 269, 3683, 942, 267, 713, 608, 21402, 4617, 839, 6237, 2804, 6043, 563, 274, 269, 31621, 26959, 910, 22749, 543, 3906, 1902, 2200, 5466, 2152, 15054, 676, 1025, 32484, 1930, 2127, 2864, 982, 13197, 4244, 3785, 5009, 8537, 2208, 269, 1280, 3236, 267, 782, 20814, 6578, 2509, 5355, 6283, 1949, 610, 10115, 538, 2069, 1223, 6556, 3152, 1279, 3856, 7024, 3379, 547, 19086, 1025, 32484, 1930, 2127, 563, 275, 269, 7025, 667, 18341, 566, 910, 10598, 21124, 1025, 32484, 1930, 2127, 3006, 1831, 28326, 26105, 585, 10363, 3653, 12871, 610, 5533, 2959, 267, 2417, 2144, 5317, 2067, 9249, 543, 1439, 836, 1359, 1480, 8171, 269, 11162, 1575, 3646, 8532, 3407, 2883, 543, 4074, 2200, 1247, 4946, 2604, 593, 2907, 2269, 1441, 18513, 23348, 563, 276, 269, 13130, 1229, 12124, 12020, 9024, 328, 2510, 910, 4975, 24990, 3068, 3875, 9465, 950, 6220, 1025, 32484, 1930, 2127, 883, 4683, 29915, 566, 2994, 269, 11790, 1519, 7334, 32598, 28868, 267, 1950, 9431, 10850, 267, 543, 30393, 11558, 635, 12393, 4058, 3157, 269, 1306, 513, 1267, 267, 1646, 7341, 24715, 622, 267, 8423, 27128, 3356, 2509, 4264, 4872, 780, 19111, 5525, 16503, 7992, 12694, 623, 2216, 676, 2349, 32484, 7046, 19791, 692, 2750, 600, 1456, 1808, 8320, 1141, 1025, 32484, 1930, 2127, 15641, 324, 2804, 2208, 3091, 16367, 4245, 3823, 2500, 6304, 2409, 269, 5565, 8037, 2665, 4125, 11146, 22575, 538, 15281, 698, 4673, 22484, 267, 1715, 3840, 267, 543, 717, 578, 29104, 22575, 538, 27201, 267, 1715, 3840, 780, 27094, 22575, 281, 4495, 19424, 539, 607, 513, 2203, 10821, 2146, 267, 11146, 22575, 2968, 24190, 609, 2825, 31685, 1310, 11240, 725, 827, 7839, 12526, 3361, 676, 12617, 6757, 6464, 694, 9429, 883, 5321, 543, 3506, 269, 6736, 3355, 8942, 693, 2270, 618, 543, 30749, 267, 10770, 4598, 4220, 19430, 12761, 540, 5215, 540, 7264, 267, 6028, 3297, 7477, 656, 6266, 12155, 547, 642, 663, 16117, 543, 12159, 269, 18601, 713, 1025, 32484, 1930, 1858, 2838, 5756, 540, 3656, 12959, 543, 1617, 574, 11669, 1673, 20683, 32598, 3646, 1354, 1022, 5033, 4565, 766, 540, 3339, 1097, 8120, 269, 4653, 267, 11146, 22575, 5713, 607, 513, 22880, 12576, 540, 519, 1279, 18835, 29298, 540, 16789, 3653, 2359, 2853, 543, 2150, 3139, 22713, 780, 294, 578, 29104, 22575, 281, 5903, 539, 1851, 3013, 781, 1034, 26130, 4703, 540, 1216, 267, 519, 717, 578, 29104, 22575, 8188, 2147, 2591, 5103, 5571, 26016, 1436, 3646, 269, 5071, 730, 513, 8111, 325, 1495, 3135, 2094, 476, 1001, 271, 267, 5230, 8407, 267, 20111, 338, 267, 543, 6151, 21137, 3136, 13576, 883, 519, 12324, 267, 28855, 1944, 5117, 11808, 3853, 543, 17021, 11105, 3338, 12303, 8035, 762, 269, 4014, 4566, 2291, 585, 13321, 519, 1858, 883, 513, 6404, 14025, 8664, 10023, 8027, 267, 11614, 267, 543, 10685, 19093, 267, 10462, 19388, 619, 1472, 12032, 7389, 543, 10700, 4093, 269, 11531, 267, 4213, 2059, 519, 23725, 528, 6560, 9624, 20387, 10512, 9276, 5532, 547, 10188, 24567, 6042, 543, 11385, 908, 2344, 6384, 780, 25618, 625, 585, 14600, 580, 908, 28620, 540, 2349, 32484, 7046, 19791, 692, 11754, 7675, 1025, 32484, 1930, 2127, 7569, 14942, 4485, 16107, 15834, 6791, 2066, 4610, 971, 607, 4702, 267, 14498, 267, 15257, 267, 543, 8804, 269, 21988, 7341, 3335, 6451, 2609, 540, 5698, 267, 5647, 267, 13916, 267, 543, 1981, 2359, 269, 16930, 12485, 7854, 1384, 272, 269, 18043, 8092, 8178, 906, 910, 18897, 965, 20241, 7114, 5817, 10898, 2404, 609, 1025, 32484, 1930, 2127, 1217, 3375, 6194, 22317, 547, 2104, 946, 7399, 543, 3617, 1646, 10253, 269, 22034, 4359, 4066, 5849, 4977, 1239, 4015, 1247, 10893, 21463, 547, 4540, 2238, 563, 273, 269, 9466, 7615, 4414, 324, 975, 618, 15789, 910, 26787, 6131, 3292, 10996, 643, 3278, 3743, 14317, 540, 6960, 26753, 1107, 5892, 2919, 4609, 1631, 14460, 610, 7329, 548, 1813, 547, 4890, 610, 9228, 17694, 269, 1635, 5356, 2930, 5583, 267, 15668, 20038, 267, 543, 7616, 3255, 267, 6608, 5000, 17053, 9520, 547, 10994, 1950, 2973, 5725, 543, 12260, 24353, 2804, 1761, 563, 274, 269, 5682, 6611, 16949, 910, 7309, 1227, 10128, 3039, 5624, 883, 4683, 8916, 11942, 9265, 5726, 267, 10597, 16351, 17008, 267, 543, 10240, 9094, 2916, 1689, 9542, 19206, 269, 6270, 7341, 3895, 2635, 19824, 267, 1514, 22122, 267, 543, 12581, 1569, 547, 2470, 267, 7551, 7700, 9797, 547, 2949, 8171, 563, 275, 269, 5398, 22580, 910, 3690, 8001, 2792, 9055, 7520, 6209, 5188, 1063, 2229, 9988, 267, 2872, 13222, 267, 543, 4299, 4961, 269, 26451, 3309, 5380, 2429, 782, 5933, 540, 1966, 8446, 267, 3070, 1374, 267, 6388, 267, 5464, 267, 543, 6268, 18791, 7104, 9562, 543, 25040, 7029, 2509, 13455, 6454, 3646, 563, 276, 269, 7043, 31645, 11038, 21290, 910, 4165, 4602, 908, 16642, 6940, 9270, 6087, 14519, 547, 3666, 2110, 3856, 14422, 1996, 1279, 24365, 20824, 934, 29471, 1282, 1025, 697, 705, 622, 618, 18129, 269, 14146, 532, 7347, 20925, 2553, 32514, 919, 1761, 4123, 26160, 1851, 12721, 4690, 267, 16779, 3401, 547, 21138, 29057, 2200, 20617, 543, 3950, 2773, 14573, 3927, 563, 277, 269, 30404, 5685, 3496, 31469, 910, 30855, 5499, 14104, 2645, 21040, 4199, 4254, 16478, 3681, 585, 21365, 1025, 32484, 1930, 2127, 269, 6201, 1331, 3039, 7554, 267, 2628, 16519, 1606, 15471, 11731, 267, 7715, 4206, 27448, 5867, 267, 543, 1857, 17376, 10675, 11450, 12417, 269, 3962, 7271, 11438, 2189, 5383, 543, 19363, 8506, 6297, 7156, 1991, 547, 10073, 563, 278, 269, 27943, 17563, 20837, 23164, 910, 22217, 4328, 11889, 5773, 6971, 11834, 3790, 2404, 609, 27510, 543, 22589, 32598, 1568, 269, 18964, 21276, 28498, 3157, 5787, 919, 1237, 10094, 543, 8992, 3608, 13345, 540, 7463, 28079, 960, 1721, 806, 269, 11270, 545, 8039, 2327, 12972, 609, 9687, 1655, 2853, 543, 6639, 7760, 563, 279, 269, 11310, 18734, 543, 27519, 8490, 910, 19457, 2833, 29742, 539, 689, 3811, 12681, 3785, 5252, 919, 12250, 1565, 543, 7028, 6626, 19718, 540, 8810, 16097, 269, 21278, 2866, 3255, 3358, 547, 3077, 9458, 6830, 5809, 1983, 1115, 2556, 585, 29270, 6932, 6937, 543, 3854, 1944, 593, 13439, 1417, 10124, 780, 6962, 692, 289, 2775, 539, 1930, 2127, 1459, 9645, 23665, 585, 2950, 17935, 547, 6536, 7524, 267, 14762, 11615, 269, 3414, 513, 4999, 540, 11826, 2079, 267, 3444, 5498, 28118, 9316, 267, 543, 3860, 3206, 267, 2705, 267, 1256, 9583, 31837, 25236, 762, 2591, 13151, 3518, 547, 4557, 20160, 8990, 543, 27265, 269, 2060, 13447, 539, 3646, 6322, 693, 2261, 11538, 3621, 23484, 609, 11455, 3609, 10850, 267, 7239, 1796, 26405, 547, 7753, 14488, 543, 16637, 7687, 13684, 676, 1025, 32484, 1930, 2127, 269, 11086, 267, 8508, 10319, 3631, 5036, 519, 3942, 585, 12707, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1739, 1913, 267, 8164, 1031, 538, 713, 3184, 4927, 267, 8259, 513, 1114, 2495, 5693, 5526, 689, 519, 2796, 267, 723, 519, 1739, 10096, 281, 1765, 454, 5257, 10907, 638, 9974, 1942, 262, 3299, 519, 2179, 929, 644, 1836, 2838, 547, 581, 1163, 2105, 676, 606, 5665, 8116, 538, 16565, 513, 8027, 610, 24999, 1788, 563, 5257, 289, 2775, 539, 1930, 1858, 262, 3299, 513, 15866, 1930, 1858, 799, 568, 17672, 547, 519, 3106, 267, 1072, 267, 26069, 267, 10304, 610, 3280, 2208, 540, 513, 2146, 1317, 621, 568, 3768, 340, 569, 14427, 547, 1020, 621, 3280, 569, 998, 519, 8723, 4238, 540, 4357, 13055, 676, 2601, 540, 519, 6228, 540, 3366, 613, 267, 4224, 267, 5667, 340, 3386, 3037, 267, 610, 824, 2168, 2175, 267, 610, 676, 2601, 540, 519, 13766, 585, 3768, 340, 569, 7199, 26995, 267, 6445, 610, 21249, 267, 610, 676, 2601, 540, 519, 991, 585, 3768, 340, 569, 7199, 13210, 267, 20808, 6821, 610, 3768, 340, 569, 7199, 3800, 585, 28890, 532, 3889, 610, 585, 1951, 1456, 519, 1858, 610, 585, 519, 6604, 540, 519, 14700, 23476, 610, 585, 519, 4027, 540, 11105, 3601, 543, 519, 1216, 3349, 972, 514, 610, 585, 3768, 340, 569, 7199, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 9483, 17148, 1315, 9483, 12618, 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, 8702, 547, 938, 3992, 827, 3060, 2360, 256, 1411, 1522, 581, 11842, 1018, 3060, 2360, 723, 547, 798, 609, 1870, 543, 9297, 269, 4270, 267, 1577, 781, 4685, 1318, 538, 543, 1265, 856, 2439, 5331, 596, 1175, 11827, 513, 1007, 2186, 540, 1514, 2923, 3760, 1141, 1004, 666, 2671, 5961, 543, 6835, 609, 1142, 824, 269, 2311, 1101, 267, 1100, 835, 3116, 568, 1210, 621, 4849, 585, 707, 2828, 543, 1920, 269, 1924, 267, 1256, 1498, 519, 813, 568, 3579, 267, 972, 5749, 1405, 1082, 2640, 547, 1210, 621, 2943, 269, 1809, 1287, 267, 811, 543, 811, 1004, 1376, 11836, 707, 1514, 2923, 3760, 269, 22582, 267, 1373, 851, 540, 707, 3760, 3587, 1454, 811, 3407, 1317, 1631, 596, 666, 1921, 609, 6266, 540, 1114, 1004, 689, 782, 936, 519, 1158, 256, 901, 568, 606, 1383, 540, 513, 3060, 1198, 780, 288, 3060, 1198, 4523, 950, 1945, 3587, 811, 3730, 610, 3407, 607, 811, 1004, 946, 621, 269, 634, 1871, 540, 513, 3060, 4679, 609, 1169, 3606, 3593, 269, 6056, 827, 875, 1591, 11436, 2968, 811, 3730, 2899, 3025, 3323, 8876, 873, 1472, 269, 2107, 875, 4757, 9607, 2968, 1271, 2899, 3549, 543, 3906, 4358, 11488, 15737, 3079, 540, 5022, 269, 1452, 1919, 1152, 960, 1317, 865, 1082, 824, 1004, 849, 946, 873, 780, 3086, 1577, 781, 1589, 827, 875, 3060, 2360, 9305, 547, 6725, 269, 1879, 513, 2754, 31782, 513, 1007, 1587, 610, 3028, 267, 789, 1616, 607, 1082, 1004, 607, 2009, 547, 1376, 1210, 621, 269, 1358, 917, 602, 519, 811, 3755, 789, 4482, 267, 519, 6793, 741, 3060, 1198, 786, 1831, 269, 2334, 1797, 602, 2038, 3792, 1562, 540, 513, 1587, 610, 3028, 1404, 513, 2629, 1909, 538, 922, 1967, 269, 1403, 891, 3355, 3755, 899, 1018, 789, 1294, 267, 789, 786, 2995, 741, 2828, 543, 1920, 827, 621, 267, 945, 786, 1287, 6443, 1932, 269, 1656, 1354, 596, 917, 621, 267, 519, 1587, 610, 3028, 814, 3144, 1055, 2439, 3719, 3006, 267, 4213, 991, 948, 3478, 1346, 1101, 1906, 3755, 269, 2334, 781, 1141, 1617, 850, 767, 6725, 2501, 538, 269, 2060, 1617, 850, 767, 6725, 267, 4213, 5000, 4540, 5561, 547, 15313, 1007, 3283, 676, 5356, 15314, 971, 607, 28774, 610, 1863, 9812, 269, 1635, 26378, 883, 519, 5121, 540, 741, 1699, 5561, 267, 4213, 666, 3914, 1007, 9458, 5488, 543, 4443, 982, 952, 789, 1185, 6836, 547, 2344, 547, 873, 2047, 780, 4131, 803, 2285, 596, 606, 1383, 269, 14597, 596, 2648, 4730, 3381, 3756, 543, 1419, 2911, 827, 707, 5172, 3014, 10643, 609, 707, 2828, 2228, 269, 2290, 1554, 267, 519, 15670, 540, 707, 5172, 3014, 2709, 596, 513, 4308, 910, 952, 596, 18609, 1079, 540, 707, 2828, 547, 4444, 519, 1482, 3014, 267, 596, 1205, 513, 2027, 1379, 5346, 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 ]
[ 2127, 609, 18312, 2199, 2916, 563, 2171, 18867, 2303, 602, 2837, 20816, 4810, 1282, 519, 12586, 1998, 3942, 1223, 581, 513, 2629, 3815, 8159, 519, 9065, 760, 3789, 4640, 540, 513, 2494, 2723, 320, 4775, 585, 519, 1739, 4832, 269, 1403, 713, 568, 3020, 267, 621, 1131, 849, 1450, 513, 1978, 11095, 8112, 607, 513, 3210, 547, 8390, 538, 4365, 2175, 1063, 1296, 543, 949, 581, 1434, 3377, 585, 8353, 22899, 17984, 538, 513, 2916, 8337, 9183, 563, 2005, 814, 1044, 3254, 602, 2043, 540, 667, 3570, 639, 533, 2716, 760, 639, 4283, 10285, 1019, 777, 1021, 538, 519, 2937, 3942, 950, 607, 30746, 789, 616, 6534, 547, 2110, 1554, 2584, 6016, 1675, 338, 543, 1970, 2837, 2175, 630, 289, 1046, 518, 543, 670, 9007, 267, 476, 3192, 277, 1040, 13575, 267, 2110, 6377, 2584, 6016, 1675, 338, 543, 1970, 27529, 20816, 11402, 1282, 25782, 610, 2022, 268, 10603, 787, 4577, 5933, 1419, 3313, 2436, 606, 5521, 2249, 25457, 513, 1019, 777, 1021, 1282, 835, 540, 922, 1646, 11775, 267, 581, 602, 4212, 267, 16793, 267, 7782, 2801, 610, 4337, 334, 630, 324, 3052, 269, 667, 3471, 267, 476, 2735, 278, 1916, 2171, 9959, 602, 12557, 540, 9065, 760, 3789, 543, 14438, 540, 519, 2937, 4775, 4096, 593, 13664, 8810, 766, 2864, 982, 593, 519, 6484, 519, 2937, 18173, 11392, 610, 519, 2175, 621, 568, 6854, 538, 269, 28927, 578, 9466, 17984, 689, 11335, 4525, 2661, 1454, 3476, 543, 723, 14320, 3476, 10285, 5712, 982, 17984, 689, 6239, 3864, 7823, 2127, 267, 855, 16005, 2147, 2338, 540, 5798, 998, 741, 3076, 564, 1307, 269, 0, 272, 269, 11906, 17611, 32025, 538, 2470, 949, 2049, 950, 11975, 610, 8934, 527, 6950, 1753, 538, 593, 3662, 610, 2030, 2792, 6786, 563, 13640, 553, 527, 1355, 729, 1186, 616, 1634, 547, 946, 32176, 668, 2158, 19501, 676, 4079, 14747, 547, 12398, 3984, 5798, 267, 16793, 610, 7782, 2801, 269, 634, 3210, 540, 454, 307, 5341, 6945, 2742, 4212, 8934, 527, 6950, 547, 513, 10991, 3023, 32176, 668, 821, 11100, 540, 29700, 814, 1044, 3254, 538, 513, 1297, 540, 2090, 936, 519, 2250, 454, 273, 269, 2558, 747, 6945, 2742, 5910, 3930, 636, 630, 295, 2096, 523, 30601, 267, 2558, 747, 6945, 3901, 13160, 264, 568, 513, 6263, 26220, 729, 335, 267, 22215, 519, 5798, 454, 1993, 519, 1100, 9822, 573, 26615, 4477, 328, 1054, 529, 642, 2231, 322, 839, 630, 299, 788, 573, 30601, 267, 3143, 9822, 13160, 1040, 901, 1353, 11567, 2436, 570, 269, 5910, 3930, 636, 5321, 538, 593, 454, 1492, 3023, 32176, 668, 821, 540, 670, 269, 642, 2231, 322, 839, 693, 2673, 2039, 269, 634, 10654, 618, 3210, 540, 519, 729, 1186, 547, 3023, 32176, 668, 821, 14189, 21555, 540, 454, 18314, 2010, 540, 4775, 29700, 267, 865, 10777, 1164, 543, 1970, 8951, 267, 729, 849, 7318, 267, 13288, 547, 1079, 5697, 3665, 32176, 668, 821, 2010, 454, 1993, 670, 269, 642, 2231, 322, 839, 269, 634, 1353, 849, 11567, 2436, 519, 729, 1186, 1131, 4410, 8951, 267, 7654, 547, 554, 3558, 327, 833, 609, 873, 563, 763, 729, 1186, 941, 18486, 676, 519, 1455, 267, 2048, 869, 685, 32176, 668, 821, 267, 855, 711, 676, 519, 4686, 267, 2048, 14683, 685, 32176, 668, 821, 610, 676, 21555, 689, 5256, 4552, 5155, 15078, 563, 763, 729, 1186, 1705, 711, 1397, 513, 13283, 585, 5094, 3023, 32176, 668, 821, 7135, 267, 855, 950, 840, 7721, 12723, 547, 519, 2101, 3023, 32176, 668, 821, 454, 4818, 9426, 540, 670, 269, 642, 2231, 322, 839, 1354, 519, 4255, 1927, 609, 670, 269, 642, 2231, 322, 839, 5798, 267, 789, 1705, 1397, 513, 13283, 267, 10834, 1565, 454, 2041, 6409, 21831, 269, 769, 519, 20387, 6901, 267, 544, 730, 8951, 941, 15841, 3648, 811, 982, 20424, 8951, 610, 9038, 267, 11021, 454, 7474, 554, 3558, 327, 10884, 568, 513, 4640, 1031, 676, 891, 729, 1186, 547, 12398, 26615, 5798, 563, 275, 269, 901, 4564, 519, 1101, 1353, 547, 1397, 454, 320, 11186, 3210, 540, 8934, 527, 1355, 729, 1186, 547, 1079, 1114, 3023, 32176, 668, 821, 2010, 538, 513, 2582, 3984, 2249, 269, 634, 2164, 15549, 454, 325, 1887, 13753, 883, 519, 1761, 1909, 540, 26220, 729, 1186, 538, 519, 4720, 540, 4638, 2792, 538, 29700, 269, 0, 763, 6008, 1359, 9730, 540, 519, 9370, 2486, 2221, 9783, 513, 6571, 5885, 519, 25954, 540, 8331, 781, 2230, 6046, 1379, 1982, 269, 634, 6571, 729, 9516, 676, 513, 8917, 540, 476, 736, 538, 3870, 267, 476, 272, 10353, 267, 476, 272, 17712, 1549, 267, 543, 476, 278, 711, 13359, 269, 634, 1257, 540, 519, 6571, 568, 2016, 2630, 563, 763, 3375, 676, 8331, 547, 2847, 633, 922, 2230, 6046, 1646, 1982, 568, 513, 1360, 2318, 1900, 602, 786, 7494, 3986, 519, 16548, 585, 1480, 3408, 543, 11175, 540, 519, 3859, 1062, 563, 763, 9370, 5980, 3365, 7596, 338, 1022, 4674, 547, 8399, 609, 2029, 1646, 602, 7028, 1480, 3408, 540, 9370, 269, 4635, 6046, 8143, 31244, 2636, 519, 31139, 9447, 689, 19845, 302, 547, 519, 9855, 610, 9370, 547, 581, 15186, 2799, 267, 7551, 5969, 519, 10131, 3790, 2404, 609, 16264, 610, 9370, 3408, 3292, 563, 301, 13086, 1379, 26119, 616, 2877, 585, 1279, 8653, 5106, 540, 513, 9370, 3490, 267, 1141, 789, 1223, 1683, 519, 1379, 585, 6325, 1272, 1489, 267, 16600, 30041, 1239, 2557, 10618, 267, 543, 519, 538, 1606, 15856, 2504, 540, 607, 1417, 543, 2132, 4412, 749, 1218, 267, 7551, 2810, 5692, 2257, 2132, 543, 5969, 10131, 3790, 1256, 811, 563, 19741, 9370, 267, 30313, 2740, 28525, 1210, 6046, 1379, 585, 1164, 1808, 20949, 3167, 27668, 267, 3742, 15392, 267, 543, 1164, 1239, 2557, 2792, 1223, 2333, 5692, 2257, 2132, 11104, 3585, 3379, 547, 602, 2009, 609, 2221, 781, 2029, 563, 4407, 1857, 6161, 827, 519, 4220, 3238, 538, 22745, 6046, 1379, 2959, 568, 3617, 267, 649, 3494, 602, 6046, 1379, 666, 581, 9250, 543, 13234, 538, 2230, 1510, 30286, 513, 3106, 610, 2825, 1981, 547, 3047, 563, 17442, 4875, 540, 513, 31612, 19720, 799, 814, 711, 2943, 1044, 3323, 6799, 1100, 5982, 9651, 547, 3047, 1317, 267, 1991, 547, 19720, 1376, 267, 1100, 2234, 542, 16090, 1938, 723, 1044, 3812, 543, 865, 5925, 13808, 568, 30050, 454, 3849, 3439, 15249, 744, 262, 11390, 1030, 324, 781, 3375, 547, 1020, 2230, 6046, 1379, 568, 513, 8797, 1847, 602, 786, 7494, 4228, 938, 2230, 7207, 543, 6961, 1942, 15807, 269, 634, 2012, 834, 19061, 8871, 9220, 639, 257, 568, 1134, 3144, 563, 23220, 9220, 639, 5795, 3595, 547, 812, 267, 4758, 721, 519, 1379, 2877, 547, 1711, 10340, 593, 3047, 269, 8331, 781, 5741, 8871, 9220, 639, 786, 2285, 721, 519, 1379, 649, 991, 547, 8831, 1480, 10340, 547, 519, 30723, 563, 763, 9370, 5980, 1439, 8503, 713, 1982, 543, 14767, 547, 1489, 621, 10069, 13443, 538, 1169, 1259, 649, 666, 269, 1284, 20882, 782, 1866, 5461, 538, 2417, 532, 8103, 781, 16548, 538, 2230, 547, 798, 11338, 563, 17471, 8416, 18830, 1284, 777, 976, 1299, 17437, 5295, 538, 6611, 454, 29771, 1677, 6611, 291, 2905, 18124, 454, 301, 13086, 5295, 769, 6611, 1656, 634, 8177, 2201, 3047, 781, 23270, 454, 29910, 910, 3967, 476, 2767, 267, 476, 1220, 274, 454, 1103, 938, 11173, 3126, 540, 4930, 602, 3343, 547, 1217, 543, 7520, 7521, 593, 519, 3390, 540, 6046, 2230, 2029, 267, 23745, 717, 1725, 517, 519, 4717, 13541, 540, 519, 6820, 8416, 18830, 1284, 777, 976, 1299, 17437, 5295, 538, 6611, 1895, 12134, 6611, 291, 2905, 3988, 547, 2015, 513, 2039, 540, 2565, 2152, 602, 1082, 4250, 786, 581, 15763, 607, 8331, 3880, 956, 519, 16101, 540, 2494, 593, 9370, 607, 519, 2628, 4752, 585, 5885, 513, 1007, 1274, 540, 6046, 2230, 2029, 1646, 563, 22498, 1677, 30205, 17437, 6611, 3163, 2060, 5741, 8871, 9220, 639, 454, 299, 657, 13353, 910, 3967, 476, 736, 267, 476, 1220, 274, 454, 22498, 568, 6368, 4397, 547, 14773, 513, 1007, 6046, 15177, 1646, 1982, 607, 621, 781, 1283, 10862, 4166, 269, 1358, 786, 267, 1282, 519, 1985, 7008, 540, 4374, 267, 581, 31392, 2200, 543, 7616, 689, 18322, 547, 1374, 713, 1062, 269, 6480, 13846, 547, 723, 513, 19876, 547, 2597, 5223, 856, 704, 14127, 1699, 2029, 676, 693, 2547, 476, 4968, 9077, 519, 1007, 15177, 1223, 22499, 2230, 2951, 563, 300, 4215, 670, 4286, 1325, 821, 2052, 2254, 23556, 634, 6611, 5358, 454, 299, 657, 13353, 910, 3967, 476, 2641, 267, 476, 1220, 274, 454, 2005, 4667, 547, 581, 519, 3018, 585, 7050, 1728, 701, 1141, 2230, 568, 7255, 269, 3683, 519, 2063, 1906, 2395, 267, 1614, 5094, 2984, 827, 7835, 543, 2042, 538, 2230, 3408, 723, 1500, 513, 9645, 10943, 1662, 4534, 855, 593, 811, 2143, 14791, 267, 782, 1614, 723, 1044, 936, 321, 31500, 563, 21511, 1543, 23954, 267, 8259, 6382, 1634, 547, 581, 1857, 6389, 267, 616, 14645, 476, 1960, 276, 268, 1001, 277, 910, 6611, 9012, 8416, 269, 2353, 7270, 616, 3370, 538, 5245, 543, 616, 9003, 1641, 547, 8241, 1876, 543, 18170, 676, 12876, 2422, 21246, 1023, 585, 3377, 8989, 543, 1382, 5301, 269, 589, 17025, 267, 772, 18444, 543, 594, 23177, 3377, 5911, 2984, 616, 10677, 3397, 775, 5333, 6261, 637, 572, 267, 2136, 4964, 4139, 543, 21475, 268, 2026, 807, 5240, 6796, 269, 30673, 3377, 5359, 616, 10677, 3864, 6611, 10837, 269, 2353, 8331, 21433, 1570, 568, 1857, 6389, 269, 16952, 5299, 23412, 949, 4019, 538, 2898, 610, 851, 547, 824, 536, 7431, 535, 728, 6105, 269, 31055, 1281, 711, 17538, 23596, 618, 267, 6876, 610, 13170, 540, 1022, 8369, 267, 6898, 610, 1344, 3177, 676, 6611, 9012, 8416, 593, 1022, 5680, 2985, 3370, 610, 18799, 676, 6611, 9012, 8416, 269, 21041, 15048, 2353, 2592, 543, 4930, 17729, 593, 6611, 9012, 8416, 723, 1044, 12995, 610, 25274, 12012, 538, 930, 1259, 269, 7102, 13668, 547, 4894, 10677, 1570, 786, 581, 19500, 2390, 538, 513, 12905, 543, 3617, 6073, 269, 7102, 3801, 547, 970, 677, 2724, 689, 6611, 9012, 8416, 786, 581, 16053, 543, 4080, 547, 8241, 4521, 2037, 7593, 589, 2102, 2886, 607, 513, 1761, 2013, 540, 2883, 12611, 5473, 519, 946, 540, 513, 7658, 874, 4577, 31566, 3926, 610, 2022, 531, 3028, 269, 347, 0, 21790, 6888, 568, 513, 1259, 547, 7747, 519, 1582, 543, 4555, 267, 543, 2337, 1004, 1265, 1018, 789, 991, 538, 741, 8186, 269, 4658, 7985, 585, 4128, 971, 607, 4160, 267, 4965, 267, 543, 16236, 269, 1358, 949, 1745, 7092, 538, 3871, 267, 2621, 267, 543, 689, 3615, 267, 543, 2943, 1018, 6770, 519, 7092, 616, 4555, 269, 4658, 779, 4555, 1711, 513, 5133, 547, 1294, 519, 1158, 267, 543, 998, 1346, 4555, 267, 7092, 14340, 538, 741, 8186, 269, 1635, 11287, 519, 1582, 267, 1004, 616, 2111, 547, 1413, 693, 741, 4555, 267, 1219, 2224, 873, 689, 519, 3510, 267, 543, 25580, 513, 1007, 4806, 799, 6770, 606, 4998, 1272, 676, 7446, 6225, 4555, 563, 7069, 1148, 1568, 2270, 12572, 11269, 540, 4555, 547, 5000, 11009, 269, 589, 5433, 8546, 568, 513, 2619, 540, 4555, 267, 543, 519, 1568, 609, 1346, 13740, 2769, 602, 1004, 723, 1082, 4555, 693, 513, 4090, 267, 543, 519, 4555, 1832, 13576, 538, 1004, 779, 8186, 4090, 547, 4090, 269, 681, 902, 543, 3515, 540, 30927, 2099, 4555, 267, 543, 1346, 30927, 10367, 1397, 519, 1950, 1062, 540, 513, 2247, 609, 6106, 540, 5958, 269, 634, 9837, 540, 1250, 1148, 568, 547, 581, 513, 11604, 547, 2992, 4555, 543, 547, 2263, 513, 1259, 547, 581, 13533, 563, 298, 344, 32634, 631, 1846, 8500, 4821, 779, 3896, 0, 2791, 616, 2016, 9838, 575, 712, 1091, 2348, 519, 3959, 602, 6679, 835, 8559, 786, 1118, 519, 575, 712, 323, 8963, 693, 513, 2557, 678, 272, 543, 6679, 1079, 9475, 786, 1118, 519, 575, 712, 323, 8963, 693, 513, 2557, 678, 273, 269, 4676, 3739, 606, 8900, 575, 712, 323, 3217, 4642, 942, 269, 1411, 1616, 547, 1665, 942, 1759, 593, 835, 1106, 540, 28507, 2680, 281, 513, 575, 712, 323, 3587, 8900, 269, 2659, 4305, 568, 547, 4020, 513, 5311, 540, 8559, 6679, 267, 1201, 3739, 267, 543, 26311, 630, 5228, 835, 575, 712, 323, 610, 1896, 575, 712, 1091, 883, 606, 1054, 31014, 835, 264, 602, 786, 1450, 596, 547, 1293, 3764, 607, 4166, 607, 2009, 4358, 689, 519, 4098, 563, 2690, 1383, 267, 15475, 596, 723, 2947, 575, 712, 1091, 269, 678, 272, 568, 476, 272, 270, 1556, 829, 8792, 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 ]
[ 1145, 607, 5205, 281, 519, 3844, 14165, 6645, 721, 12799, 602, 519, 15429, 540, 6777, 568, 1945, 824, 982, 1175, 513, 513, 6648, 610, 513, 3209, 568, 606, 31074, 269, 23875, 4154, 666, 3251, 7664, 4986, 4154, 666, 3251, 519, 5216, 1899, 6648, 4986, 4154, 666, 3251, 267, 729, 538, 519, 3209, 676, 694, 554, 15586, 267, 519, 16080, 11107, 713, 6648, 814, 1079, 10096, 267, 519, 1101, 827, 1434, 1919, 2760, 2063, 11014, 543, 519, 2034, 827, 6107, 543, 26454, 29122, 15470, 781, 6648, 12211, 547, 519, 476, 31982, 1913, 563, 3674, 11505, 2731, 782, 621, 781, 29618, 909, 547, 581, 267, 12134, 519, 721, 29787, 3370, 281, 476, 2420, 24203, 476, 1001, 278, 5022, 281, 5310, 29122, 15470, 729, 1318, 538, 1010, 6648, 544, 2056, 3774, 281, 1412, 1434, 31966, 1118, 1434, 30256, 262, 3370, 281, 476, 2918, 18051, 533, 1085, 2714, 524, 7342, 5069, 3217, 721, 593, 513, 3460, 998, 2749, 538, 5708, 267, 16222, 543, 6965, 3370, 281, 476, 1839, 694, 335, 269, 589, 10486, 519, 6249, 540, 519, 6648, 544, 2056, 3774, 568, 1644, 547, 519, 28023, 1184, 540, 2470, 267, 26759, 5137, 543, 9552, 538, 519, 6648, 267, 519, 15669, 781, 7023, 2982, 25932, 2956, 547, 18949, 519, 3774, 693, 519, 1482, 942, 267, 519, 2067, 1184, 540, 9552, 568, 10423, 538, 519, 15669, 781, 771, 15517, 547, 18949, 519, 3774, 269, 2201, 713, 1554, 538, 476, 3422, 274, 267, 29122, 15470, 5747, 267, 519, 1034, 2442, 543, 12021, 7819, 10564, 540, 519, 14206, 2540, 855, 1010, 1967, 729, 513, 1279, 942, 538, 4947, 621, 729, 607, 513, 2875, 693, 1876, 5270, 1164, 1153, 602, 646, 4362, 646, 1185, 513, 10516, 543, 513, 6612, 585, 6965, 1010, 1101, 3370, 6648, 7902, 538, 519, 1153, 11356, 538, 563, 4002, 519, 824, 1688, 267, 607, 682, 517, 731, 796, 3455, 543, 13275, 8709, 522, 262, 935, 24335, 1448, 856, 538, 9954, 585, 1353, 267, 968, 325, 15543, 781, 6965, 267, 7429, 602, 540, 971, 538, 713, 2463, 267, 646, 568, 1419, 3379, 609, 900, 1176, 26863, 8657, 543, 678, 19563, 9267, 4777, 900, 3205, 267, 538, 4171, 6965, 267, 1932, 267, 513, 2241, 1249, 267, 1843, 267, 1268, 267, 610, 2680, 786, 581, 13816, 2682, 323, 543, 1491, 593, 3152, 563, 15447, 1578, 540, 6381, 602, 7018, 538, 29122, 15470, 781, 1272, 1223, 1489, 519, 5304, 781, 31007, 547, 12990, 519, 2278, 585, 519, 6648, 781, 10584, 5103, 19320, 610, 10486, 267, 519, 1079, 616, 711, 835, 538, 519, 1482, 954, 577, 4474, 519, 5107, 540, 2278, 543, 10584, 666, 1291, 547, 606, 7664, 602, 568, 1932, 5059, 593, 519, 3961, 269, 7338, 25836, 729, 4535, 795, 2317, 476, 273, 267, 476, 7277, 271, 267, 865, 1775, 3459, 3206, 827, 1864, 543, 1010, 9089, 543, 6965, 835, 6648, 602, 7153, 538, 1250, 26871, 773, 729, 513, 5172, 540, 9553, 267, 688, 335, 267, 538, 799, 646, 20475, 1010, 6547, 547, 1079, 2009, 5203, 525, 267, 835, 602, 1522, 581, 12199, 676, 688, 335, 610, 4960, 543, 835, 602, 1522, 581, 12199, 676, 513, 269, 634, 4155, 711, 3144, 281, 513, 5542, 540, 29122, 15470, 781, 9954, 1496, 549, 6975, 15470, 267, 14646, 522, 262, 3771, 320, 5430, 6588, 557, 13797, 267, 21514, 529, 796, 614, 1889, 9807, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 3091, 519, 1655, 2000, 3437, 9954, 689, 835, 540, 7819, 3332, 781, 1034, 26009, 5515, 1100, 10564, 568, 811, 900, 1076, 3901, 1227, 7819, 982, 29122, 15470, 689, 519, 269, 17826, 1557, 5635, 1299, 4334, 281, 13275, 338, 5288, 15470, 676, 2887, 2329, 795, 4615, 15366, 7005, 476, 9083, 26549, 7548, 544, 1557, 1948, 272, 6965, 5635, 1299, 4334, 1813, 281, 27095, 5324, 476, 736, 267, 476, 1001, 272, 1272, 1590, 979, 593, 741, 942, 543, 1869, 3810, 9833, 607, 1079, 540, 519, 1655, 15023, 540, 782, 942, 29122, 15470, 729, 4535, 538, 476, 6942, 275, 538, 7254, 269, 0, 32487, 593, 1946, 596, 723, 547, 1246, 3652, 454, 2252, 596, 723, 6810, 476, 272, 267, 476, 1556, 10259, 540, 606, 2278, 538, 1603, 267, 596, 1058, 581, 8626, 27274, 946, 1250, 1378, 3652, 3079, 596, 1522, 6999, 547, 1246, 519, 7608, 269, 4828, 281, 1946, 711, 547, 2736, 3652, 5821, 547, 2285, 1200, 606, 2626, 538, 519, 6640, 593, 1946, 666, 649, 711, 1246, 519, 3652, 2147, 3594, 1557, 593, 1739, 3652, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1946, 568, 621, 1271, 547, 1246, 3652, 269, 5788, 950, 1053, 1246, 1153, 3652, 621, 666, 1291, 547, 9363, 2922, 543, 5059, 2956, 540, 1153, 3652, 1557, 3584, 2228, 2259, 960, 563, 763, 2956, 540, 1073, 324, 3539, 519, 3652, 543, 950, 596, 5963, 1174, 1946, 707, 3652, 616, 950, 707, 5520, 1246, 3106, 3652, 267, 596, 949, 1294, 707, 1072, 269, 7689, 476, 272, 281, 3652, 543, 4031, 2491, 547, 1053, 602, 13460, 543, 3506, 723, 3652, 602, 649, 1590, 1246, 538, 1931, 547, 581, 2015, 1603, 513, 11156, 585, 707, 269, 9504, 4507, 543, 4808, 616, 2919, 676, 4507, 616, 4441, 602, 782, 3755, 1058, 7363, 1246, 1519, 3594, 789, 723, 2854, 547, 2285, 269, 18623, 1222, 3498, 3594, 723, 7453, 3652, 14172, 543, 8366, 3594, 1246, 782, 519, 3652, 1354, 596, 1376, 2324, 593, 707, 1557, 269, 23512, 790, 676, 1714, 3467, 682, 517, 731, 781, 476, 1015, 3652, 540, 1603, 2523, 513, 7139, 4084, 1739, 606, 4367, 602, 2501, 1310, 513, 4557, 3652, 585, 1603, 5708, 630, 4820, 563, 32487, 593, 1946, 596, 723, 547, 1246, 3652, 454, 305, 2737, 3594, 3652, 616, 513, 1305, 540, 5528, 543, 4808, 547, 948, 3391, 1004, 269, 4495, 596, 723, 4956, 547, 2099, 3054, 538, 713, 5480, 6494, 873, 547, 519, 9794, 8655, 547, 707, 2013, 1739, 519, 25937, 3652, 568, 1271, 269, 3718, 12522, 4388, 3106, 3652, 616, 2813, 547, 948, 596, 3106, 3652, 4096, 593, 596, 547, 1246, 873, 723, 596, 2479, 5249, 609, 2576, 602, 13264, 3106, 3652, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 1946, 568, 621, 1271, 547, 1246, 3652, 547, 948, 596, 2328, 707, 1378, 1557, 269, 11374, 9753, 538, 519, 4108, 4688, 707, 3594, 1934, 865, 596, 666, 12398, 873, 519, 1004, 12912, 936, 596, 723, 513, 2816, 547, 1780, 602, 1344, 1524, 563, 3080, 540, 519, 2596, 4247, 540, 519, 3498, 1557, 568, 547, 1246, 519, 8846, 952, 596, 1082, 10274, 547, 1603, 3498, 3594, 5000, 596, 519, 1603, 4099, 269, 8422, 4295, 2609, 540, 9423, 630, 663, 1946, 596, 991, 547, 2328, 2984, 1318, 2476, 264, 476, 1015, 1603, 3652, 596, 666, 1406, 2736, 663, 875, 547, 2736, 873, 5708, 4388, 269, 14210, 540, 519, 1034, 15763, 8239, 3652, 543, 1655, 1603, 2853, 476, 3374, 6114, 547, 968, 1084, 8239, 3652, 1169, 5856, 1058, 917, 563, 14187, 5037, 532, 849, 7494, 20674, 707, 3988, 538, 1739, 513, 4062, 540, 1603, 596, 666, 723, 547, 1832, 835, 2856, 547, 835, 5037, 952, 596, 2253, 547, 269, 5788, 1557, 281, 2486, 568, 1759, 593, 3652, 543, 621, 1223, 711, 1599, 952, 2043, 941, 1863, 547, 798, 2043, 1058, 2285, 909, 782, 519, 22624, 547, 1246, 269, 5788, 1946, 616, 972, 3652, 543, 1946, 568, 621, 865, 1271, 547, 1246, 476, 4968, 271, 2262, 1557, 1775, 723, 547, 2328, 663, 922, 3652, 538, 2489, 1739, 3652, 5849, 269, 589, 1592, 540, 1271, 2511, 3652, 476, 272, 264, 1294, 519, 3296, 540, 713, 4950, 3135, 799, 4145, 1603, 1382, 4574, 476, 273, 264, 2141, 723, 513, 3659, 2638, 707, 1957, 1354, 269, 6258, 875, 547, 2328, 606, 1557, 609, 938, 5363, 3391, 972, 616, 1082, 1114, 8677, 540, 26159, 6163, 543, 621, 781, 2731, 1271, 602, 596, 1246, 519, 1808, 563, 268, 1306, 513, 1876, 705, 4575, 12504, 1775, 2119, 547, 1246, 519, 3652, 267, 1256, 952, 1775, 1810, 1405, 3858, 609, 873, 6011, 1197, 972, 616, 14026, 950, 596, 1058, 711, 1246, 519, 3652, 563, 268, 10749, 689, 1433, 4048, 338, 1683, 1390, 2093, 585, 519, 2956, 540, 1739, 8846, 3594, 543, 1957, 3584, 899, 1557, 2070, 713, 2875, 1557, 827, 519, 2956, 563, 268, 1703, 616, 1082, 3652, 596, 1590, 1246, 950, 1603, 538, 519, 7005, 1705, 596, 917, 649, 723, 936, 476, 4817, 2852, 6030, 602, 5965, 596, 547, 7118, 563, 268, 1879, 1053, 1246, 1153, 3652, 1946, 568, 621, 1271, 547, 1246, 1153, 3652, 513, 281, 2656, 2626, 1153, 3652, 616, 1271, 547, 1246, 1317, 789, 5512, 519, 563, 13625, 2497, 543, 602, 4831, 30348, 4805, 949, 2408, 1175, 827, 9170, 538, 606, 1557, 1946, 3802, 28443, 3594, 1246, 519, 2497, 540, 741, 269, 4208, 3214, 991, 3652, 16776, 281, 649, 948, 5965, 1864, 547, 1246, 519, 1876, 789, 5818, 6015, 952, 596, 7930, 952, 596, 1577, 707, 1126, 723, 930, 2161, 538, 1018, 2777, 269, 13744, 2849, 992, 6941, 519, 25354, 540, 3983, 1603, 6208, 596, 4121, 538, 1153, 547, 948, 596, 1711, 1739, 21342, 3652, 729, 899, 1603, 609, 1100, 1291, 538, 1250, 269, 901, 568, 519, 1034, 1271, 3364, 596, 3513, 1224, 782, 1554, 476, 3451, 7938, 9287, 3652, 3025, 2115, 547, 1246, 713, 568, 519, 1034, 1271, 3364, 596, 3513, 1224, 782, 1554, 563, 32487, 593, 1946, 596, 723, 547, 1246, 3652, 305, 730, 476, 276, 270, 276, 1759, 593, 476, 866, 2689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23254, 2216, 566, 610, 5626, 13508, 7886, 1916, 19894, 5959, 2638, 13522, 267, 689, 1472, 519, 2085, 540, 476, 272, 267, 723, 1390, 5383, 912, 268, 634, 1126, 568, 5432, 609, 519, 1604, 543, 519, 11290, 267, 799, 2306, 1864, 1454, 811, 18756, 454, 268, 12213, 5694, 9178, 602, 666, 2014, 1928, 666, 581, 14284, 267, 543, 5959, 5574, 786, 581, 7608, 1454, 811, 3362, 563, 763, 30836, 616, 1500, 540, 513, 1570, 630, 19009, 610, 11954, 1107, 538, 930, 2665, 693, 519, 1377, 540, 519, 10151, 12387, 1513, 1070, 799, 568, 9985, 8032, 593, 519, 5694, 2627, 267, 3246, 513, 2067, 543, 476, 1911, 260, 6198, 1267, 563, 268, 1358, 616, 30194, 12362, 1107, 538, 519, 2013, 540, 2241, 5959, 1286, 625, 454, 268, 634, 1570, 2182, 839, 3533, 630, 514, 1447, 982, 513, 8792, 610, 267, 1210, 26457, 665, 675, 2029, 267, 538, 827, 513, 8792, 543, 513, 3368, 994, 268, 634, 1267, 568, 8353, 24312, 24886, 543, 3214, 7874, 454, 313, 597, 935, 807, 5959, 31750, 454, 313, 597, 935, 807, 5959, 31750, 616, 711, 1152, 5227, 538, 2013, 540, 2620, 5694, 9178, 267, 855, 849, 950, 621, 568, 513, 1454, 811, 2500, 3070, 982, 519, 5929, 11423, 563, 1103, 519, 2013, 540, 4816, 4522, 267, 585, 1383, 267, 519, 1981, 540, 519, 11423, 9991, 568, 2362, 982, 538, 519, 2013, 540, 8628, 4522, 269, 769, 891, 3871, 267, 24782, 4363, 2098, 597, 935, 807, 5959, 31750, 269, 1358, 616, 1500, 538, 4993, 543, 723, 1044, 1031, 6707, 2094, 476, 1001, 271, 630, 1721, 936, 476, 1321, 1296, 264, 538, 12963, 25185, 543, 538, 519, 2126, 540, 5959, 1286, 625, 538, 1453, 563, 293, 19691, 547, 1521, 5959, 1286, 625, 5540, 519, 2898, 1560, 267, 865, 519, 1739, 8374, 1315, 2175, 630, 29985, 543, 2489, 264, 949, 2049, 912, 268, 634, 1126, 568, 2348, 7411, 8023, 267, 19330, 14031, 267, 814, 3207, 18063, 543, 1970, 2702, 547, 13404, 454, 268, 8555, 704, 17568, 540, 519, 4522, 593, 519, 2895, 11151, 2953, 4633, 543, 849, 1582, 12635, 454, 268, 15937, 5694, 19512, 616, 4299, 676, 7294, 267, 15860, 1286, 625, 540, 519, 10151, 4522, 454, 268, 10819, 2049, 1813, 547, 11234, 12972, 540, 8628, 4522, 950, 972, 616, 11389, 16225, 762, 3597, 11935, 602, 3340, 2038, 8851, 269, 4935, 267, 9402, 6208, 666, 1020, 676, 954, 19397, 519, 11469, 602, 20020, 340, 919, 2104, 5959, 17244, 454, 268, 9603, 547, 519, 8374, 540, 15860, 1286, 625, 267, 519, 2898, 1560, 666, 581, 4299, 282, 972, 616, 2242, 538, 11536, 305, 543, 6789, 26183, 10832, 267, 543, 519, 1126, 779, 12046, 11081, 454, 12867, 693, 962, 3201, 292, 6481, 2160, 723, 11943, 602, 4551, 538, 519, 5711, 13570, 540, 1453, 609, 15860, 5694, 9178, 723, 606, 1764, 593, 519, 1646, 540, 623, 20911, 9331, 2177, 8656, 269, 0, 3080, 540, 519, 1158, 779, 1283, 9945, 568, 2921, 606, 796, 2180, 13454, 1935, 547, 2228, 1565, 454, 4407, 519, 15752, 540, 20037, 343, 941, 8385, 9307, 538, 5412, 267, 713, 2250, 11728, 519, 1158, 3146, 11471, 2257, 543, 2029, 6280, 18005, 9307, 519, 5137, 540, 519, 1153, 779, 1101, 1863, 2228, 1576, 2443, 476, 277, 269, 16573, 343, 281, 27989, 543, 22997, 1547, 898, 786, 2196, 689, 4728, 476, 276, 998, 547, 4873, 476, 279, 563, 277, 269, 16573, 343, 568, 1759, 593, 519, 593, 2275, 25283, 1576, 540, 519, 1482, 2012, 281, 621, 568, 606, 2606, 1576, 585, 896, 6588, 1091, 538, 20037, 779, 4972, 540, 15379, 7177, 543, 8950, 3163, 563, 1607, 23318, 568, 1007, 1873, 20564, 585, 1079, 4128, 281, 3689, 543, 5310, 1034, 6654, 267, 568, 602, 20037, 568, 5356, 835, 540, 922, 6030, 585, 1863, 269, 634, 1483, 32071, 992, 986, 16014, 267, 1498, 267, 568, 602, 713, 7436, 519, 1101, 942, 519, 6280, 568, 18136, 1053, 547, 1353, 585, 606, 20037, 1532, 8681, 539, 15149, 7488, 540, 4087, 543, 1510, 1022, 1991, 13675, 4170, 281, 1053, 1058, 3274, 723, 1702, 540, 2979, 543, 2257, 563, 300, 3951, 343, 5288, 269, 519, 1483, 3364, 454, 300, 3951, 1028, 999, 16002, 923, 602, 713, 1362, 786, 581, 538, 1100, 1259, 267, 3337, 267, 610, 1106, 513, 14758, 4528, 540, 519, 593, 2275, 25283, 1576, 563, 763, 1152, 3017, 1063, 519, 1079, 568, 602, 519, 20037, 343, 4528, 568, 4481, 2966, 585, 2228, 1565, 281, 513, 5691, 2978, 267, 552, 268, 9248, 267, 2228, 5717, 267, 543, 7044, 786, 782, 581, 6697, 547, 9361, 538, 593, 513, 11000, 269, 4841, 786, 4585, 3381, 15872, 543, 23405, 267, 960, 609, 2259, 5751, 267, 2347, 6780, 10467, 267, 543, 1491, 851, 538, 519, 2228, 4928, 779, 7317, 2978, 269, 1703, 786, 581, 11400, 267, 540, 1576, 267, 543, 1053, 666, 6895, 741, 9344, 607, 789, 960, 998, 519, 1576, 563, 17206, 8387, 3589, 602, 621, 786, 1491, 267, 5111, 267, 513, 7029, 540, 476, 1015, 3108, 513, 3018, 547, 9096, 519, 1576, 563, 7712, 713, 568, 519, 6280, 779, 1101, 979, 15778, 609, 513, 1982, 540, 713, 2470, 267, 1053, 945, 1129, 909, 585, 519, 1576, 616, 4397, 547, 3479, 547, 9237, 2623, 269, 769, 519, 2104, 267, 1498, 267, 20037, 4566, 547, 723, 519, 2029, 543, 6127, 2556, 538, 1931, 547, 2638, 3961, 543, 13182, 960, 563, 763, 1982, 779, 3301, 454, 300, 3951, 9250, 7046, 17345, 310, 732, 630, 8016, 310, 1070, 513, 1863, 2228, 8313, 267, 476, 1015, 1296, 3516, 607, 851, 540, 922, 7029, 547, 1210, 2029, 547, 2087, 543, 11097, 523, 1569, 547, 2069, 269, 898, 568, 267, 9247, 267, 606, 1930, 21299, 267, 27249, 3301, 5989, 602, 2882, 5176, 476, 273, 267, 1911, 20037, 15938, 543, 10927, 7400, 1576, 2326, 269, 1677, 4266, 267, 621, 779, 1044, 1031, 676, 811, 982, 476, 1911, 2929, 1004, 563, 300, 3951, 343, 4564, 519, 1985, 1900, 4464, 538, 519, 32726, 310, 4674, 269, 634, 1153, 4566, 547, 946, 621, 607, 4990, 540, 513, 2203, 1982, 547, 1265, 856, 1018, 666, 581, 9447, 2228, 543, 1018, 3344, 540, 1565, 2154, 3068, 3562, 19904, 1489, 1315, 5872, 609, 3610, 563, 5475, 621, 1568, 856, 519, 737, 3855, 538, 519, 1982, 267, 519, 1153, 30242, 547, 1118, 519, 3301, 11884, 2139, 547, 2069, 5238, 10876, 563, 1692, 616, 789, 3413, 1800, 547, 798, 713, 888, 300, 3951, 814, 7150, 602, 621, 814, 1274, 5658, 539, 513, 1906, 2929, 9489, 585, 713, 1788, 543, 602, 621, 568, 4867, 3168, 585, 24960, 1235, 585, 1761, 2104, 7616, 269, 630, 2252, 782, 3116, 14543, 267, 621, 1058, 581, 7074, 602, 519, 1153, 814, 606, 1439, 578, 618, 4502, 10199, 1269, 279, 269, 276, 5479, 8094, 22091, 21505, 20037, 779, 3914, 454, 17206, 8387, 616, 1360, 1454, 9599, 676, 519, 16548, 540, 1018, 713, 4603, 814, 547, 2709, 269, 2991, 782, 267, 789, 666, 1152, 4001, 513, 1507, 6824, 540, 519, 1053, 945, 4019, 547, 519, 1153, 269, 1635, 1818, 6030, 607, 7317, 607, 476, 277, 269, 16573, 343, 2139, 2228, 267, 789, 2503, 547, 581, 2111, 547, 3914, 513, 1454, 3677, 267, 3486, 1895, 540, 1053, 563, 763, 1761, 585, 1967, 568, 6157, 972, 281, 1775, 307, 17480, 772, 267, 519, 4081, 4528, 540, 1775, 307, 17480, 267, 814, 19017, 811, 982, 3368, 513, 2929, 15872, 547, 4266, 269, 7324, 519, 3401, 538, 28085, 616, 634, 7046, 2160, 543, 18628, 2160, 267, 1142, 609, 811, 982, 476, 2412, 2929, 28085, 267, 6606, 563, 16729, 476, 277, 269, 16573, 343, 267, 824, 5049, 616, 4397, 547, 581, 1500, 2139, 281, 20037, 13922, 547, 723, 6030, 538, 7350, 267, 2979, 267, 543, 6323, 4712, 2097, 2887, 282, 2705, 267, 789, 786, 711, 581, 1863, 269, 19065, 510, 454, 9596, 811, 281, 5378, 343, 269, 2466, 12975, 454, 27270, 3842, 281, 536, 25900, 16691, 16896, 30406, 270, 25531, 268, 10204, 15782, 6924, 454, 9596, 811, 827, 18329, 15733, 18225, 0, 2005, 568, 8969, 1652, 602, 6639, 7760, 3136, 547, 2981, 519, 1158, 538, 1114, 2081, 269, 1717, 267, 713, 1533, 849, 27875, 519, 1158, 547, 513, 2039, 540, 3354, 6937, 543, 4145, 269, 2755, 8441, 538, 2029, 26924, 1004, 540, 741, 5150, 1239, 267, 1949, 543, 5121, 267, 31487, 616, 849, 14027, 547, 1832, 10605, 609, 519, 3466, 269, 901, 635, 27289, 3646, 547, 4466, 513, 6325, 3070, 547, 6639, 6937, 585, 4950, 543, 1062, 3354, 269, 2986, 1390, 6161, 568, 519, 1249, 602, 31487, 723, 7307, 547, 22467, 3433, 1949, 267, 799, 941, 7620, 2219, 547, 581, 5150, 269, 901, 2982, 875, 31487, 616, 538, 6024, 1870, 540, 4831, 532, 1169, 3354, 1062, 267, 799, 4966, 1020, 269, 898, 568, 10423, 602, 31487, 616, 10115, 538, 741, 1949, 609, 6791, 267, 942, 543, 2200, 547, 2327, 602, 789, 20006, 3811, 6285, 593, 741, 9072, 269, 901, 568, 10423, 689, 2487, 11628, 6431, 11962, 5900, 2931, 630, 4338, 25629, 1070, 13389, 2229, 543, 13055, 2157, 269, 1452, 6285, 7361, 2832, 693, 17034, 2229, 1283, 11580, 267, 1587, 6272, 543, 7214, 3959, 269, 4438, 681, 6347, 6673, 307, 27169, 267, 799, 4547, 1927, 2229, 8387, 689, 519, 6837, 267, 31440, 267, 8331, 543, 3056, 1617, 1588, 1023, 267, 519, 7390, 1218, 5059, 593, 6937, 267, 16426, 543, 3435, 547, 6880, 10963, 269, 1358, 19429, 519, 4681, 543, 3664, 538, 513, 3354, 5618, 563, 28723, 21784, 338, 616, 16419, 6880, 6285, 593, 606, 3919, 267, 609, 519, 2832, 540, 5464, 4238, 267, 3441, 519, 1062, 267, 15936, 609, 2533, 267, 6338, 7301, 1344, 267, 543, 21102, 6213, 1344, 630, 295, 1301, 534, 1696, 620, 1421, 476, 1001, 273, 267, 533, 269, 13797, 1040, 898, 568, 1271, 547, 4063, 602, 713, 4214, 568, 711, 6190, 543, 519, 21895, 7036, 518, 15891, 13124, 1031, 621, 1510, 3246, 513, 598, 5477, 6609, 540, 519, 6285, 269, 769, 3801, 547, 9718, 922, 2990, 267, 2818, 540, 519, 21895, 1427, 9285, 267, 968, 9377, 1456, 621, 1223, 3970, 721, 543, 1291, 721, 547, 581, 9420, 338, 3660, 269, 1284, 991, 547, 7683, 30603, 519, 4162, 1317, 789, 616, 2141, 4657, 892, 630, 305, 6347, 267, 476, 1001, 272, 267, 533, 269, 476, 274, 1916, 9213, 267, 4966, 20920, 609, 519, 1249, 602, 621, 568, 3592, 7543, 547, 5706, 6880, 6285, 1317, 281, 968, 24426, 828, 10779, 2456, 723, 519, 1983, 267, 2200, 267, 543, 24500, 547, 1028, 841, 741, 1164, 17032, 9072, 14578, 267, 3843, 1585, 2553, 267, 2394, 789, 8011, 269, 1358, 616, 735, 4979, 2688, 18453, 547, 859, 1228, 15040, 2861, 7020, 2645, 267, 971, 607, 28456, 1085, 22395, 269, 1358, 616, 1210, 1514, 4702, 2553, 593, 5667, 639, 1051, 532, 5520, 547, 4931, 1203, 3906, 685, 15943, 1219, 1878, 269, 1358, 616, 8720, 741, 13475, 1369, 1949, 543, 16107, 2553, 789, 723, 3501, 539, 2066, 2789, 9072, 2223, 630, 295, 1301, 534, 1696, 620, 1421, 476, 1001, 273, 267, 533, 269, 476, 272, 1040, 9122, 593, 713, 267, 4966, 1566, 710, 602, 621, 568, 3592, 791, 24411, 547, 1832, 1055, 31487, 689, 519, 1062, 269, 1677, 4308, 609, 971, 6937, 267, 621, 568, 1271, 547, 3713, 873, 2038, 2614, 543, 9243, 1125, 873, 1354, 789, 3441, 519, 1062, 563, 8253, 2406, 267, 7114, 6285, 568, 1100, 24983, 1317, 10419, 21116, 12404, 538, 1062, 779, 4238, 269, 1717, 267, 519, 21895, 13890, 1896, 16426, 267, 799, 31487, 17908, 547, 22467, 3433, 1062, 543, 20739, 1188, 688, 22106, 269, 2290, 540, 519, 3056, 6937, 568, 998, 1514, 5121, 269, 898, 568, 2009, 585, 31487, 547, 10880, 676, 735, 4979, 1344, 827, 5520, 1210, 1514, 4609, 269, 4495, 789, 723, 713, 1344, 267, 789, 2308, 4540, 2645, 538, 1514, 13033, 547, 14892, 519, 6285, 269, 634, 21895, 2417, 7074, 602, 267, 968, 5278, 540, 519, 1292, 3968, 10321, 519, 30896, 11855, 941, 552, 17733, 267, 4787, 4286, 267, 543, 8216, 6835, 609, 18453, 31139, 338, 538, 519, 1106, 540, 7300, 338, 267, 19316, 14103, 267, 7097, 6119, 267, 4291, 583, 1963, 543, 27589, 2223, 630, 305, 6347, 267, 476, 1001, 272, 267, 533, 269, 476, 275, 1040, 769, 1034, 2665, 267, 31487, 1031, 15737, 267, 561, 3166, 609, 18453, 547, 22467, 3433, 811, 982, 476, 2004, 2929, 2123, 5904, 538, 476, 1001, 272, 563, 1103, 1840, 267, 31487, 21160, 741, 4238, 1210, 1239, 608, 325, 2830, 1674, 267, 635, 2364, 908, 7020, 1256, 950, 519, 6285, 593, 4757, 616, 1455, 269, 26243, 267, 968, 28723, 6937, 1419, 946, 10427, 2409, 585, 735, 7675, 267, 17278, 532, 267, 543, 23142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2409, 912, 1103, 519, 1463, 7269, 1505, 267, 519, 14023, 656, 568, 9450, 2047, 538, 27810, 4092, 2901, 538, 519, 4411, 4859, 4055, 610, 2047, 1657, 621, 563, 1103, 519, 1490, 710, 21883, 1062, 267, 1490, 710, 568, 669, 2683, 538, 1490, 710, 3579, 619, 543, 1287, 6933, 730, 998, 9023, 27810, 538, 519, 4859, 2230, 269, 901, 1062, 11151, 1022, 8594, 540, 1426, 12526, 676, 682, 1136, 14023, 656, 630, 604, 20342, 568, 519, 14023, 656, 1040, 6271, 5413, 568, 519, 15395, 9023, 4390, 540, 1804, 5666, 540, 1490, 710, 952, 519, 14023, 908, 3937, 1590, 581, 9505, 1524, 563, 2304, 9940, 2011, 10009, 1062, 814, 1044, 811, 5063, 2919, 269, 4706, 946, 14998, 513, 811, 4028, 1689, 538, 2837, 543, 519, 1852, 540, 11195, 269, 634, 9023, 540, 2011, 538, 971, 513, 1062, 568, 2944, 676, 25738, 2011, 936, 7269, 27810, 267, 1490, 710, 27810, 610, 998, 513, 10936, 540, 1490, 710, 610, 1216, 269, 634, 2011, 666, 581, 12015, 610, 6632, 1540, 267, 4470, 593, 2436, 1970, 610, 1164, 11195, 568, 5551, 269, 5149, 3579, 619, 610, 886, 22852, 267, 9967, 540, 519, 9023, 27810, 267, 2011, 21883, 10178, 543, 513, 1219, 15543, 532, 11460, 616, 1419, 1031, 547, 1463, 4411, 2011, 936, 519, 5551, 2127, 563, 288, 1297, 540, 1114, 26468, 10659, 616, 1031, 538, 4411, 4859, 3156, 269, 1452, 616, 1034, 1419, 2966, 585, 20342, 610, 3327, 8166, 3028, 563, 268, 5565, 7623, 25262, 908, 14771, 832, 609, 24999, 22836, 630, 1721, 4390, 1852, 1070, 835, 585, 1970, 2837, 1490, 710, 543, 519, 824, 585, 2362, 2837, 1490, 710, 616, 1031, 269, 589, 3791, 22302, 1770, 568, 2356, 3177, 563, 268, 9540, 518, 2371, 2308, 513, 7623, 25262, 908, 26468, 609, 835, 1439, 593, 1970, 2837, 1490, 710, 3028, 543, 519, 824, 1439, 593, 2362, 2837, 1490, 710, 269, 589, 2147, 1770, 666, 581, 1031, 607, 513, 22302, 563, 268, 769, 3677, 2371, 267, 621, 568, 1419, 30074, 547, 946, 1896, 1507, 14771, 832, 3079, 540, 835, 1804, 26468, 269, 901, 786, 1683, 811, 8112, 538, 7829, 8795, 14023, 908, 13907, 563, 5719, 7799, 320, 267, 595, 10422, 12171, 1421, 476, 1960, 271, 269, 769, 281, 2836, 1457, 517, 267, 631, 1421, 31661, 2967, 8566, 565, 534, 267, 681, 269, 630, 32295, 13776, 5794, 31259, 19554, 281, 20232, 543, 6657, 538, 5253, 27264, 676, 3525, 1881, 22014, 12742, 269, 10911, 290, 4964, 267, 645, 10087, 13158, 517, 267, 623, 335, 476, 280, 268, 866, 563, 291, 773, 335, 26960, 5484, 267, 1912, 534, 11709, 9149, 655, 267, 715, 7666, 344, 523, 23111, 667, 7776, 267, 631, 269, 717, 28026, 339, 543, 808, 12171, 269, 25599, 2006, 1421, 476, 1220, 277, 16843, 305, 301, 7454, 9137, 13815, 267, 16581, 7177, 563, 28061, 267, 7537, 543, 744, 329, 3873, 267, 570, 10422, 269, 14362, 540, 16581, 7177, 630, 14157, 16927, 1070, 3798, 269, 27454, 29564, 267, 1715, 16156, 269, 0, 21196, 676, 1554, 609, 519, 18096, 23806, 476, 7277, 278, 454, 9928, 2100, 543, 12937, 454, 306, 5115, 9248, 269, 634, 2326, 616, 11356, 804, 2089, 902, 1350, 4240, 883, 10145, 3817, 540, 513, 1433, 13886, 281, 834, 21196, 676, 1554, 609, 519, 18096, 23806, 476, 7277, 278, 1701, 634, 3688, 941, 8385, 3370, 538, 519, 14786, 519, 834, 306, 5306, 8235, 17650, 2317, 257, 543, 519, 834, 5327, 699, 339, 5240, 1701, 634, 804, 2089, 902, 3277, 547, 519, 9194, 540, 476, 7277, 278, 547, 18096, 543, 519, 2038, 23928, 540, 602, 1533, 676, 30963, 23806, 563, 268, 808, 21672, 267, 12448, 267, 476, 6977, 271, 268, 3707, 272, 630, 31094, 994, 23458, 540, 10049, 454, 29605, 616, 538, 2296, 563, 30812, 1431, 717, 1478, 940, 7457, 454, 15411, 585, 1857, 1382, 563, 30812, 1431, 717, 1478, 940, 2422, 454, 2005, 568, 519, 5539, 540, 519, 11001, 547, 3489, 1022, 2556, 10677, 2312, 1734, 269, 18983, 2153, 547, 15476, 1570, 689, 4303, 676, 1554, 609, 519, 18096, 23806, 476, 7277, 278, 1590, 581, 5833, 689, 519, 8111, 6665, 528, 540, 13129, 7896, 543, 5924, 519, 700, 269, 8751, 31473, 7981, 26888, 8274, 540, 4354, 2209, 563, 300, 768, 517, 2278, 267, 29966, 267, 543, 16024, 1014, 585, 519, 30963, 5783, 563, 273, 642, 269, 630, 8619, 269, 476, 1220, 533, 4700, 263, 271, 269, 1839, 5276, 10264, 8094, 10673, 730, 676, 808, 269, 681, 592, 517, 21546, 538, 476, 2735, 277, 563, 3412, 9712, 622, 11905, 540, 21733, 9974, 454, 10673, 730, 282, 808, 269, 681, 592, 517, 21546, 282, 476, 2735, 277, 563, 25219, 1695, 543, 519, 1977, 4639, 543, 700, 9169, 2686, 267, 1514, 267, 543, 3909, 1686, 630, 736, 628, 2540, 5375, 543, 30963, 2494, 11245, 338, 4015, 1646, 3609, 267, 476, 276, 17679, 2862, 267, 476, 1220, 278, 1916, 268, 19193, 540, 4303, 676, 1554, 609, 519, 18096, 23806, 476, 7277, 278, 454, 268, 769, 18776, 454, 268, 18148, 590, 6346, 454, 268, 476, 1001, 271, 5437, 476, 1321, 454, 268, 13517, 3652, 454, 268, 5678, 540, 6609, 454, 268, 14644, 540, 6609, 454, 268, 5678, 540, 6609, 4063, 454, 268, 15531, 5351, 2854, 538, 2296, 538, 5824, 7097, 269, 0, 1103, 5181, 476, 5002, 277, 519, 4708, 540, 519, 1507, 4884, 540, 589, 889, 1248, 267, 27228, 729, 695, 13593, 676, 3377, 540, 519, 12638, 540, 513, 2048, 335, 668, 5799, 16027, 685, 513, 1906, 5195, 7532, 2282, 519, 1256, 4130, 11175, 540, 9466, 6807, 269, 634, 16027, 267, 21469, 595, 1442, 13879, 267, 1185, 1044, 4535, 538, 519, 12397, 880, 25110, 540, 853, 661, 933, 267, 7178, 540, 853, 3243, 749, 267, 538, 476, 6977, 271, 269, 645, 3754, 909, 538, 519, 18296, 540, 2717, 21346, 1157, 267, 21469, 19927, 519, 855, 7815, 532, 4123, 689, 1010, 4651, 563, 1103, 476, 6942, 273, 646, 32164, 3603, 543, 12306, 538, 27228, 2282, 519, 16713, 5211, 269, 8033, 5224, 1010, 855, 7815, 779, 4123, 267, 21469, 1558, 543, 9310, 11875, 320, 2405, 5112, 267, 606, 1977, 269, 634, 6292, 5833, 513, 4630, 652, 1737, 543, 3459, 519, 2182, 2816, 540, 8105, 519, 31403, 543, 9870, 513, 1920, 269, 1717, 267, 1919, 941, 711, 1500, 2653, 585, 11875, 320, 543, 519, 1453, 676, 21469, 779, 2110, 2191, 269, 1306, 2212, 540, 519, 7622, 621, 5526, 602, 646, 2156, 12097, 2370, 24895, 269, 589, 2199, 11356, 5206, 602, 646, 729, 2048, 320, 812, 540, 796, 326, 4261, 762, 2191, 267, 1360, 16970, 543, 4049, 538, 1010, 1920, 543, 519, 1753, 1894, 1185, 2141, 1044, 18473, 17483, 4462, 17862, 1145, 5828, 547, 30739, 5208, 835, 10543, 538, 476, 5002, 277, 269, 21469, 779, 476, 1240, 1032, 2025, 5067, 8176, 4280, 1010, 4651, 952, 646, 1131, 588, 2794, 909, 519, 2724, 547, 1450, 1864, 547, 7390, 1018, 2968, 513, 2199, 2852, 267, 21246, 958, 513, 4116, 2866, 10661, 602, 1185, 1044, 3964, 676, 519, 6396, 1235, 538, 476, 5908, 276, 269, 21469, 15189, 269, 634, 4737, 3893, 811, 12699, 609, 8176, 685, 9632, 7015, 267, 519, 476, 2420, 610, 476, 2190, 1032, 2025, 29366, 1338, 267, 530, 8172, 538, 547, 1394, 1864, 909, 269, 2048, 1103, 513, 3514, 540, 30270, 8730, 519, 476, 6321, 1032, 2025, 21469, 22755, 1010, 1079, 14930, 856, 540, 519, 2777, 267, 1287, 21947, 519, 1079, 538, 519, 3046, 5500, 731, 609, 513, 12334, 325, 1251, 563, 3719, 267, 547, 18985, 519, 2025, 6031, 5594, 267, 2760, 3142, 513, 12334, 325, 1251, 547, 513, 7784, 325, 697, 269, 8176, 2746, 539, 267, 15504, 856, 513, 15148, 591, 543, 8929, 1010, 4651, 2185, 2053, 269, 769, 519, 3002, 540, 519, 6370, 267, 1614, 540, 1010, 15833, 14406, 4352, 835, 9575, 21469, 538, 519, 6186, 269, 11531, 267, 29366, 1338, 1185, 3893, 513, 8929, 30516, 543, 267, 4947, 909, 3297, 1010, 20754, 4651, 267, 8929, 1864, 7466, 538, 519, 1394, 269, 634, 1079, 1762, 2367, 1287, 7658, 874, 19861, 519, 7128, 563, 5141, 732, 1338, 729, 4371, 538, 21569, 9901, 609, 12638, 267, 4352, 8176, 729, 1577, 856, 593, 513, 6125, 547, 24098, 13009, 269, 18461, 902, 10443, 1164, 538, 519, 2199, 2950, 543, 621, 9863, 2352, 547, 2824, 513, 21139, 269, 16828, 267, 538, 5130, 476, 5002, 278, 29366, 1338, 779, 4693, 3576, 1747, 269, 634, 21139, 3576, 1614, 2395, 547, 3914, 513, 3375, 855, 538, 519, 1439, 29366, 1338, 729, 23498, 609, 519, 6967, 2013, 1996, 8176, 849, 1373, 12628, 513, 1906, 3275, 2663, 269, 0, 16240, 589, 7591, 22276, 454, 16240, 589, 7591, 22276, 1107, 898, 779, 2653, 547, 1745, 19531, 730, 950, 3206, 827, 1603, 513, 6881, 269, 634, 3652, 256, 14474, 1154, 256, 634, 6512, 256, 5213, 1406, 1577, 519, 9583, 11995, 1297, 540, 1603, 2609, 29057, 596, 2476, 689, 1603, 707, 1101, 2376, 269, 4595, 6616, 519, 9238, 540, 13167, 568, 3368, 519, 6370, 267, 2200, 267, 3732, 4249, 267, 543, 606, 7650, 540, 875, 547, 2328, 513, 1397, 616, 2139, 547, 948, 596, 4487, 519, 9238, 563, 23382, 710, 602, 609, 519, 1318, 3301, 267, 2835, 543, 1603, 7727, 267, 543, 596, 3580, 581, 4712, 547, 2186, 540, 674, 32767, 5442, 1354, 596, 917, 621, 563, 16240, 589, 7591, 22276, 454, 11767, 707, 4757, 2630, 543, 4309, 938, 1269, 6344, 4502, 540, 853, 6621, 5675, 10189, 585, 1863, 256, 18738, 596, 3580, 1265, 519, 1655, 2200, 585, 14987, 563, 1103, 11431, 9122, 631, 1442, 23632, 22276, 4317, 5525, 595, 274, 17563, 2060, 11676, 878, 454, 1805, 2774, 569, 6340, 267, 519, 6881, 568, 513, 476, 3445, 268, 6344, 2985, 3561, 2854, 538, 476, 1321, 696, 21676, 8175, 13944, 593, 476, 279, 476, 272, 270, 273, 16357, 1535, 476, 1556, 16357, 1614, 8559, 17953, 344, 3043, 5309, 3481, 1957, 269, 3657, 596, 11842, 1946, 519, 21676, 8175, 13944, 568, 1031, 286, 898, 568, 513, 2339, 540, 942, 269, 2290, 2985, 540, 30149, 1257, 538, 21676, 8175, 13944, 11224, 835, 8792, 540, 5496, 942, 269, 901, 568, 1946, 519, 3328, 2985, 1293, 538, 513, 6881, 1058, 581, 1063, 476, 3445, 543, 476, 6344, 3817, 269, 1703, 616, 10156, 635, 12203, 630, 3445, 3817, 610, 476, 272, 476, 16006, 3108, 264, 543, 3476, 4249, 630, 6344, 3817, 610, 476, 273, 3108, 1916, 763, 1397, 666, 581, 3312, 610, 1759, 593, 513, 3020, 1650, 610, 513, 5892, 2854, 4062, 267, 971, 607, 513, 1433, 267, 3942, 1404, 267, 610, 11356, 2376, 269, 2311, 922, 2295, 267, 519, 1397, 568, 513, 29685, 585, 513, 7260, 602, 786, 835, 1554, 2097, 547, 2927, 819, 269, 634, 1305, 4648, 1519, 519, 16073, 267, 8689, 267, 1305, 14704, 543, 11051, 782, 4612, 519, 2278, 779, 5075, 1210, 741, 1983, 269, 4595, 4670, 14708, 568, 513, 10319, 1184, 267, 519, 5496, 23116, 1590, 917, 1018, 3025, 568, 3257, 267, 865, 519, 7097, 1058, 2992, 519, 5856, 779, 1702, 563, 2690, 1383, 267, 621, 568, 1271, 547, 3314, 602, 4670, 568, 513, 3308, 5420, 269, 1306, 513, 5496, 23116, 267, 596, 1058, 1397, 1018, 779, 538, 513, 1650, 267, 711, 2995, 621, 269, 589, 476, 273, 2985, 1025, 7875, 1522, 581, 5386, 585, 513, 1433, 267, 855, 621, 779, 519, 21098, 540, 2669, 538, 1257, 269, 24897, 8586, 3294, 568, 1759, 593, 875, 513, 1650, 568, 4843, 593, 5496, 267, 543, 1271, 8090, 666, 581, 24829, 676, 1945, 607, 2241, 607, 3168, 693, 519, 17076, 779, 3068, 269, 2913, 779, 1413, 693, 875, 519, 1397, 729, 1500, 563, 4407, 3381, 11249, 3301, 899, 15937, 30633, 267, 28414, 18903, 24897, 23116, 267, 28414, 20895, 543, 8053, 720, 786, 4688, 596, 689, 2348, 547, 1451, 1507, 19114, 543, 967, 757, 267, 621, 779, 1434, 547, 917, 2489, 19437, 4441, 563, 25440, 10158, 23694, 5675, 476, 276, 454, 272, 568, 1283, 267, 5377, 543, 1318, 2427, 540, 5496, 4159, 269, 634, 2451, 2427, 568, 476, 272, 269, 276, 269, 634, 3368, 10759, 540, 3043, 2230, 593, 519, 2451, 2427, 540, 519, 5373, 2985, 666, 581, 13615, 609, 2909, 1091, 267, 855, 519, 7299, 3666, 540, 519, 1257, 593, 519, 2985, 568, 9738, 269, 2353, 1257, 1058, 581, 2582, 22274, 563, 4002, 519, 1101, 2985, 616, 519, 1913, 674, 32767, 5442, 15545, 8074, 281, 634, 1101, 2985, 568, 711, 3769, 269, 4427, 2425, 550, 2985, 2338, 2408, 538, 519, 5580, 1318, 7944, 267, 476, 271, 269, 276, 16357, 689, 519, 1283, 540, 519, 2985, 267, 4881, 547, 519, 1318, 563, 19350, 568, 513, 1592, 540, 519, 2609, 630, 663, 741, 8847, 264, 602, 1118, 909, 513, 5496, 11768, 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 ]
[ 3662, 12400, 540, 2104, 13946, 5159, 267, 891, 3504, 521, 7120, 2583, 543, 14592, 1223, 1869, 6961, 602, 938, 10054, 827, 519, 2686, 22293, 540, 3026, 6387, 628, 1023, 5749, 1406, 4010, 4023, 563, 2467, 781, 1152, 835, 1966, 609, 713, 4469, 842, 7723, 5386, 1148, 3069, 269, 1715, 2257, 5267, 602, 3425, 543, 3026, 6387, 628, 1023, 941, 1312, 538, 2342, 693, 519, 1482, 942, 11652, 899, 1022, 1434, 30618, 619, 267, 789, 941, 849, 4687, 267, 513, 1335, 267, 741, 15135, 269, 1924, 1510, 513, 15040, 693, 519, 5377, 267, 649, 2461, 711, 2386, 945, 4010, 1500, 891, 10367, 563, 12867, 2161, 972, 568, 513, 3070, 269, 4855, 606, 4587, 13946, 7206, 267, 2813, 1354, 1346, 26240, 5652, 30941, 18682, 1329, 12048, 9094, 3323, 3542, 5024, 519, 1148, 6429, 543, 1818, 621, 782, 267, 20093, 2560, 1164, 321, 992, 563, 21581, 676, 623, 20403, 7338, 563, 15674, 31165, 5442, 20793, 12442, 454, 7922, 2931, 5213, 1406, 5620, 513, 11283, 531, 15722, 7321, 9046, 454, 25567, 753, 798, 269, 1809, 950, 17051, 8858, 519, 1482, 5615, 607, 1866, 267, 621, 3587, 851, 540, 513, 3152, 3109, 21454, 563, 296, 645, 4454, 519, 670, 4007, 21236, 269, 594, 6557, 1325, 2819, 15154, 540, 4825, 9506, 898, 563, 9928, 582, 1633, 1772, 3807, 519, 22073, 269, 21673, 2859, 11572, 32495, 1389, 538, 2342, 563, 299, 604, 8135, 9894, 333, 1406, 6056, 519, 6008, 889, 523, 6807, 681, 1901, 8865, 12984, 667, 1090, 1738, 2037, 965, 454, 3383, 789, 3773, 513, 2370, 1582, 268, 9404, 15684, 563, 10521, 12456, 333, 6153, 267, 15020, 7756, 20176, 625, 6168, 22307, 4536, 4825, 9506, 3245, 2782, 454, 268, 3345, 9705, 281, 1977, 13329, 10642, 547, 10434, 8534, 654, 5896, 547, 28161, 968, 13553, 16176, 6577, 7536, 268, 20290, 2290, 538, 9050, 4892, 8081, 22830, 540, 590, 5902, 1154, 3245, 519, 5742, 454, 268, 661, 9915, 301, 9452, 1325, 548, 2471, 24497, 839, 267, 715, 14566, 3657, 2480, 1901, 2998, 908, 14105, 19676, 538, 15147, 1575, 454, 268, 25760, 540, 9099, 5525, 693, 2160, 540, 10127, 25764, 568, 631, 6324, 1229, 27933, 834, 7922, 5684, 1335, 344, 257, 1325, 5586, 725, 454, 763, 4107, 6833, 337, 4328, 774, 532, 6168, 24954, 454, 763, 2068, 27938, 8103, 676, 840, 3539, 593, 8103, 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 ]
[ 7335, 910, 1912, 9582, 910, 5675, 267, 590, 697, 9293, 29941, 15544, 645, 26685, 4041, 630, 30747, 7124, 543, 3689, 6103, 590, 697, 9293, 1070, 590, 697, 6478, 22054, 18044, 11568, 543, 10495, 3590, 267, 590, 697, 6478, 12071, 1890, 18044, 11568, 590, 4953, 476, 273, 281, 21598, 312, 9293, 476, 6200, 268, 1220, 267, 645, 26685, 4041, 281, 7913, 543, 15026, 590, 697, 6478, 12071, 1890, 21998, 590, 4953, 476, 273, 1923, 20028, 4804, 267, 26541, 577, 590, 697, 6478, 12071, 1890, 18044, 11568, 645, 26685, 4041, 267, 2776, 6261, 3234, 518, 26541, 577, 590, 697, 6478, 18044, 21998, 609, 4605, 10291, 267, 7335, 10426, 1137, 585, 5851, 610, 3427, 25143, 548, 281, 7216, 22419, 15206, 476, 272, 560, 476, 273, 526, 267, 590, 697, 6478, 12071, 1890, 18044, 11568, 281, 667, 5357, 6224, 3689, 6103, 267, 590, 697, 6478, 12071, 1890, 18044, 11568, 281, 667, 5357, 6224, 2776, 6261, 3234, 518, 267, 590, 697, 6478, 12071, 1890, 18044, 11568, 281, 667, 5357, 6224, 10021, 518, 267, 667, 5456, 3951, 3201, 590, 697, 6478, 12071, 1890, 21998, 281, 21598, 312, 9293, 476, 272, 268, 1911, 1923, 20028, 4804, 267, 10021, 518, 26541, 577, 590, 697, 6478, 21998, 609, 24436, 267, 15206, 12096, 12971, 28217, 303, 4569, 543, 17402, 11242, 645, 26685, 4041, 267, 590, 697, 6478, 6657, 9664, 281, 16514, 4149, 6269, 9285, 267, 674, 787, 476, 6200, 268, 1220, 269, 4495, 596, 616, 2944, 267, 15476, 519, 1592, 543, 1376, 8026, 1318, 2476, 269, 634, 10259, 6437, 585, 9656, 1058, 3382, 9656, 10259, 1913, 1376, 609, 2596, 1079, 4484, 1913, 267, 610, 1614, 4484, 27901, 8686, 578, 601, 15926, 517, 656, 1913, 267, 543, 1831, 811, 1950, 269, 2353, 540, 707, 2238, 1058, 4125, 17192, 543, 2385, 1315, 27877, 9525, 269, 1284, 723, 513, 11078, 10259, 3896, 1500, 4481, 585, 4928, 1604, 269, 634, 26538, 5295, 1592, 568, 1152, 2139, 538, 519, 26538, 5295, 1433, 4534, 621, 814, 519, 476, 4335, 271, 1034, 4749, 1031, 543, 4413, 335, 8215, 1913, 609, 3710, 2987, 2689, 269, 2368, 3214, 2731, 899, 547, 723, 513, 6529, 518, 4604, 593, 519, 21067, 610, 12341, 538, 513, 1857, 1747, 1141, 789, 666, 1397, 875, 1134, 789, 4076, 2944, 269, 1358, 786, 3986, 741, 2542, 543, 1603, 1983, 1247, 3395, 741, 6863, 609, 891, 1863, 6478, 7731, 3211, 269, 1280, 519, 1101, 3992, 267, 519, 910, 520, 1920, 267, 1053, 786, 2759, 856, 5022, 269, 667, 685, 10468, 6501, 1040, 3973, 789, 786, 2721, 3515, 547, 1921, 519, 1318, 5022, 547, 11963, 519, 2262, 269, 1452, 1187, 543, 10477, 3817, 4183, 476, 272, 540, 476, 2412, 26541, 577, 840, 17376, 25534, 8289, 1913, 269, 2107, 6096, 1280, 15206, 269, 15350, 10794, 281, 5192, 930, 4994, 6486, 543, 2328, 1524, 930, 8289, 1913, 538, 8424, 269, 10576, 17205, 3446, 268, 273, 269, 15206, 11242, 269, 918, 276, 4804, 269, 5903, 540, 1455, 9656, 10259, 1913, 269, 6258, 476, 1839, 590, 697, 9293, 585, 15206, 1948, 272, 609, 713, 674, 7419, 543, 13673, 2207, 12283, 12087, 3381, 585, 661, 14566, 22996, 269, 2311, 519, 4098, 540, 519, 3018, 267, 596, 1522, 1694, 1524, 543, 723, 513, 2319, 5870, 827, 1018, 596, 4126, 547, 9585, 713, 3018, 609, 707, 2875, 269, 570, 267, 8289, 1913, 24591, 476, 736, 260, 609, 519, 667, 5357, 6224, 22753, 281, 26541, 577, 590, 697, 6478, 12071, 1890, 18044, 11568, 645, 7419, 13036, 2894, 3975, 1776, 2262, 1592, 286, 9484, 476, 280, 267, 476, 1708, 271, 910, 10812, 932, 3089, 16340, 3118, 781, 4604, 834, 30747, 7124, 2262, 3406, 257, 593, 26964, 269, 476, 3607, 4374, 540, 10259, 8638, 267, 543, 6227, 8289, 1913, 267, 4081, 1913, 267, 543, 476, 272, 560, 3446, 1377, 3617, 3270, 585, 1913, 267, 2519, 593, 2262, 3885, 267, 18772, 525, 4882, 4428, 1460, 525, 267, 543, 2262, 5072, 5924, 580, 1231, 269, 3267, 15206, 630, 275, 267, 3445, 274, 264, 12474, 9537, 269, 1358, 786, 1265, 519, 12805, 4605, 593, 519, 10916, 6656, 543, 2328, 519, 22008, 290, 2262, 269, 6875, 513, 4530, 610, 6657, 609, 15206, 26538, 700, 1235, 267, 6875, 513, 13038, 14893, 4530, 610, 6657, 609, 15206, 26538, 700, 1235, 267, 2353, 15206, 18500, 700, 1235, 267, 27678, 1299, 6096, 267, 7792, 9656, 10259, 3211, 269, 667, 629, 707, 1259, 547, 17117, 1210, 513, 536, 22857, 546, 879, 828, 610, 15262, 547, 6474, 519, 1913, 547, 519, 12286, 4099, 8289, 2262, 269, 15206, 8289, 1913, 616, 2596, 1913, 602, 616, 2938, 519, 1034, 4749, 538, 3446, 7400, 2835, 269, 1411, 666, 849, 609, 741, 3237, 543, 621, 3947, 873, 6015, 269, 594, 2560, 1452, 3211, 849, 2709, 3255, 585, 3606, 1983, 2259, 676, 10128, 1808, 3355, 5022, 267, 8289, 1913, 267, 1297, 1913, 267, 543, 2582, 1606, 22690, 762, 1913, 269, 667, 1112, 566, 29941, 616, 3769, 538, 1142, 3018, 779, 2534, 1305, 281, 2991, 1603, 782, 519, 10259, 1913, 267, 1053, 2328, 519, 4845, 607, 596, 1224, 621, 269, 17949, 938, 15206, 10259, 8638, 7132, 2259, 891, 10259, 1913, 585, 15206, 1053, 2228, 267, 610, 1711, 707, 1378, 2688, 8638, 269, 15206, 26538, 5903, 476, 272, 15206, 568, 519, 3501, 942, 547, 2259, 10259, 547, 948, 707, 1126, 1451, 547, 1831, 513, 1732, 5467, 256, 590, 662, 269, 2659, 1053, 786, 723, 865, 1454, 267, 590, 697, 2262, 2259, 3817, 268, 674, 787, 1913, 476, 272, 268, 1911, 910, 18763, 960, 17142, 1262, 3086, 609, 589, 19851, 305, 3201, 296, 3198, 9501, 21822, 5058, 1262, 8512, 540, 513, 5458, 590, 697, 6478, 3395, 22753, 281, 634, 772, 299, 2316, 300, 12442, 590, 697, 6478, 25143, 548, 5970, 707, 1053, 1451, 8289, 1913, 538, 2796, 609, 891, 1187, 8289, 2262, 9212, 256, 3962, 540, 891, 1863, 8289, 2262, 546, 629, 562, 685, 12297, 9212, 786, 948, 3391, 707, 1453, 547, 8289, 2262, 17117, 269, 901, 4199, 568, 4998, 585, 946, 4724, 519, 4098, 540, 1101, 3446, 543, 267, 1452, 3988, 786, 2285, 707, 1053, 519, 4316, 547, 281, 1892, 6258, 543, 2259, 2542, 741, 8289, 1913, 1892, 28150, 6015, 267, 21711, 267, 543, 7115, 609, 741, 2542, 1892, 3367, 22150, 5220, 609, 4605, 1489, 1892, 5192, 1346, 4098, 3988, 547, 1224, 256, 1892, 5620, 1187, 2542, 256, 10376, 5467, 6212, 593, 513, 521, 580, 267, 2659, 1053, 786, 723, 1187, 8026, 741, 8289, 1913, 609, 891, 8289, 2262, 3211, 269, 9484, 476, 1724, 267, 476, 1001, 277, 910, 10812, 6258, 9539, 268, 25440, 4132, 5516, 781, 4604, 834, 303, 27348, 6478, 21998, 2580, 4553, 676, 476, 24129, 1004, 593, 26964, 269, 2368, 2262, 8638, 547, 1331, 538, 707, 15206, 10259, 6437, 616, 18551, 3270, 630, 20302, 290, 267, 1913, 676, 3355, 3280, 1070, 26541, 577, 543, 674, 787, 8289, 1913, 267, 543, 9656, 1543, 6863, 269, 14087, 894, 4845, 3446, 268, 272, 269, 1452, 2296, 6863, 1913, 609, 5961, 585, 3214, 2488, 3211, 543, 5751, 666, 10544, 519, 2407, 3007, 540, 707, 4819, 1247, 1565, 269, 1684, 596, 723, 513, 3014, 596, 8910, 899, 547, 2671, 286, 1411, 786, 2648, 891, 20036, 267, 13561, 267, 543, 1863, 7792, 8289, 1913, 1592, 256, 585, 9656, 543, 1101, 3446, 630, 663, 7654, 2362, 910, 2638, 856, 519, 2262, 1592, 538, 519, 12744, 4605, 547, 1294, 3769, 1913, 14386, 1403, 865, 267, 4757, 803, 267, 13690, 267, 693, 4757, 11333, 2593, 2221, 256, 901, 3296, 5161, 540, 3099, 540, 6863, 3992, 4566, 543, 6863, 3211, 609, 2596, 1565, 585, 3214, 971, 607, 4408, 540, 5613, 267, 5388, 267, 3560, 267, 5017, 267, 5810, 267, 2371, 267, 543, 1454, 811, 269, 22291, 674, 787, 9293, 476, 272, 268, 1911, 269, 670, 809, 873, 1927, 593, 513, 536, 5407, 8258, 547, 1118, 513, 4605, 8675, 269, 7591, 10259, 3756, 609, 707, 10259, 8638, 610, 23600, 269, 8571, 513, 5858, 1472, 1142, 2262, 596, 1294, 256, 1306, 596, 1265, 1483, 1913, 267, 1832, 6060, 540, 875, 1082, 707, 2875, 1336, 269, 15531, 1913, 4358, 609, 589, 910, 808, 689, 519, 4605, 543, 1603, 519, 1913, 269, 1703, 616, 1079, 5036, 540, 476, 1839, 1142, 547, 948, 3214, 1205, 6266, 540, 1434, 1603, 2259, 1932, 269, 6423, 811, 2093, 827, 2262, 6486, 267, 1603, 4099, 267, 9251, 2262, 6821, 269, 7981, 8074, 281, 898, 568, 5363, 585, 707, 15206, 2875, 547, 1745, 513, 2631, 540, 22920, 269, 6423, 6402, 547, 873, 2630, 9950, 591, 723, 1053, 945, 616, 1175, 711, 1565, 741, 8289, 1913, 3728, 2614, 267, 5103, 3388, 596, 4312, 6836, 286, 4841, 946, 267, 17546, 519, 15206, 5871, 11759, 4441, 585, 519, 3003, 3923, 540, 5437, 609, 713, 3946, 6823, 543, 2502, 12971, 28217, 303, 3640, 256, 1306, 513, 1101, 3446, 2542, 4116, 267, 621, 568, 2523, 24858, 547, 4585, 513, 2875, 960, 1554, 1310, 1554, 593, 519, 1482, 1164, 4908, 1913, 609, 2370, 610, 1100, 1967, 269, 15026, 9656, 8289, 2262, 3211, 1923, 590, 697, 9293, 10794, 269, 769, 713, 2038, 2542, 4976, 267, 707, 1126, 14405, 10580, 1472, 519, 2262, 896, 1142, 4605, 543, 1287, 7058, 525, 1018, 519, 2262, 1522, 1611, 1759, 593, 519, 4605, 269, 2052, 581, 9102, 538, 2681, 610, 3109, 543, 3043, 269, 769, 891, 4245, 267, 1053, 6451, 5969, 1983, 267, 1603, 1983, 543, 12879, 540, 5022, 267, 513, 2698, 960, 13050, 952, 596, 786, 269, 2060, 891, 10477, 740, 2262, 1920, 609, 5961, 6486, 267, 9656, 1053, 1451, 547, 1224, 2947, 1007, 20956, 322, 1913, 269, 2422, 2789, 12215, 585, 3476, 8638, 610, 1450, 1053, 547, 4584, 476, 275, 540, 519, 1913, 789, 899, 519, 1034, 256, 1280, 9344, 476, 272, 268, 274, 269, 634, 1655, 851, 568, 555, 320, 267, 901, 22753, 2934, 22843, 29941, 267, 590, 697, 6478, 29941, 267, 15206, 2871, 3660, 7335, 24366, 10426, 1137, 543, 8938, 811, 2200, 2966, 547, 948, 1053, 1020, 2178, 2038, 7924, 1983, 269, 22291, 674, 787, 8638, 267, 26541, 577, 8289, 1913, 267, 2681, 1913, 267, 2338, 267, 543, 1454, 811, 256, 3689, 267, 1711, 513, 8755, 3556, 16064, 540, 5022, 513, 22271, 1210, 4994, 6486, 269, 1703, 568, 12971, 28217, 303, 267, 1100, 991, 547, 22495, 622, 610, 946, 14427, 11954, 13504, 256, 5192, 29654, 689, 606, 5604, 3761, 4558, 602, 616, 2966, 547, 581, 3144, 1055, 630, 1492, 29654, 602, 616, 1031, 547, 1665, 15040, 6753, 1040, 1452, 6863, 2262, 8638, 666, 581, 1031, 538, 18500, 8967, 2454, 30949, 779, 9656, 7317, 3756, 267, 2560, 10435, 1913, 568, 513, 1390, 1259, 547, 4001, 18551, 543, 10259, 269, 6478, 1920, 3211, 910, 8018, 543, 27412, 17074, 865, 707, 1053, 666, 2259, 10259, 1022, 2262, 1920, 20471, 256, 6478, 9931, 2212, 619, 609, 4605, 10291, 543, 674, 787, 1913, 9102, 896, 519, 2404, 4484, 269, 3367, 519, 1079, 1913, 1175, 1657, 1142, 4605, 269, 15206, 4400, 22039, 6478, 5903, 634, 1739, 476, 2412, 1913, 616, 519, 1164, 4908, 15206, 1913, 269, 15439, 4283, 707, 1592, 2012, 267, 1287, 1142, 2262, 543, 1717, 267, 1082, 540, 891, 1913, 666, 2049, 2429, 782, 2157, 269, 1684, 596, 723, 5796, 585, 3237, 540, 15206, 1053, 286, 1215, 2052, 594, 13724, 3733, 4569, 10341, 1280, 15206, 269, 4841, 723, 741, 1378, 21189, 543, 10957, 269, 2422, 938, 9656, 7792, 3211, 547, 12927, 4484, 4992, 267, 2542, 543, 10259, 256, 5131, 1585, 2010, 540, 3872, 2200, 585, 3214, 998, 1913, 609, 5961, 267, 3214, 2262, 19707, 267, 3214, 1913, 267, 3214, 1565, 267, 840, 17469, 2534, 267, 543, 7792, 1913, 585, 3214, 269, 1284, 723, 13977, 10259, 8638, 267, 3211, 543, 3875, 9656, 10259, 3756, 585, 707, 2875, 547, 2972, 269, 901, 1568, 1390, 585, 18954, 338, 609, 741, 1378, 6437, 610, 3807, 1820, 543, 4001, 267, 7132, 596, 2811, 9494, 2724, 676, 11449, 782, 1614, 3275, 538, 713, 835, 22753, 269, 955, 268, 590, 7417, 8946, 2464, 292, 623, 3722, 16775, 5442, 8028, 3582, 6730, 13138, 312, 17676, 10292, 2464, 14160, 27912, 28313, 476, 955, 268, 18421, 596, 991, 547, 512, 267, 8289, 1913, 8512, 540, 513, 5458, 717, 4629, 310, 5058, 22753, 602, 2882, 782, 540, 1250, 8289, 2262, 2200, 256, 763, 772, 299, 2316, 300, 12442, 590, 697, 6478, 25143, 548, 268, 20231, 540, 1250, 2200, 585, 674, 787, 9293, 476, 272, 268, 1220, 1262, 3086, 2882, 8241, 10259, 1262, 5970, 707, 1053, 1451, 8289, 1913, 538, 2796, 609, 891, 1187, 8289, 2262, 9212, 256, 4841, 2328, 741, 10259, 1913, 543, 1287, 1711, 513, 4605, 547, 6542, 621, 269, 634, 2238, 538, 713, 17142, 666, 581, 1031, 585, 6640, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 25215, 976, 2225, 281, 1234, 5942, 7512, 2043, 547, 1491, 606, 3742, 1909, 538, 741, 7067, 3460, 269, 31943, 619, 616, 9415, 547, 1491, 5539, 585, 741, 1134, 5630, 267, 8508, 1582, 13282, 543, 1582, 268, 11391, 1077, 618, 563, 3725, 5942, 9439, 2308, 1808, 2553, 547, 7520, 7067, 912, 3725, 5942, 1140, 2317, 906, 281, 5900, 2317, 906, 616, 22612, 12738, 602, 1450, 2043, 547, 1831, 9055, 585, 1234, 5942, 1648, 269, 1452, 7668, 9439, 547, 1921, 609, 543, 10141, 7067, 1648, 547, 2933, 543, 1866, 563, 21652, 1747, 906, 281, 31943, 619, 1747, 741, 3946, 9900, 593, 610, 2282, 519, 1560, 267, 3850, 519, 1648, 547, 2095, 547, 519, 2127, 602, 2154, 7067, 269, 7435, 1747, 906, 666, 581, 1808, 547, 2168, 22074, 610, 5059, 593, 13326, 519, 1648, 7740, 630, 577, 752, 6652, 1916, 291, 9665, 7067, 281, 1234, 5942, 666, 581, 2366, 2066, 9883, 267, 10489, 2056, 942, 543, 2230, 269, 31943, 619, 946, 5059, 9837, 543, 14839, 2553, 547, 6494, 7067, 1648, 547, 2043, 267, 3871, 267, 610, 2621, 602, 616, 711, 9308, 1459, 563, 19119, 543, 3156, 454, 3725, 5942, 3091, 513, 2647, 2039, 540, 2640, 593, 2168, 267, 3929, 267, 543, 5289, 2157, 912, 29590, 5786, 281, 1234, 5942, 8992, 2620, 11005, 267, 4227, 2566, 267, 4160, 267, 543, 5009, 2949, 1134, 5630, 563, 303, 664, 2359, 281, 1234, 5942, 814, 1044, 4080, 547, 948, 13468, 5312, 1928, 267, 31264, 267, 543, 9636, 2404, 609, 1585, 2168, 2175, 563, 10387, 10899, 7067, 281, 1234, 5942, 666, 1489, 3929, 7067, 676, 16089, 3929, 3625, 1137, 267, 5009, 513, 2631, 540, 9350, 267, 543, 5807, 3929, 3666, 563, 306, 2869, 3770, 2208, 281, 1234, 5942, 568, 711, 13615, 547, 1022, 1808, 3909, 3661, 855, 666, 7520, 5289, 2208, 543, 2123, 7004, 269, 898, 8992, 513, 4514, 4276, 609, 13951, 543, 519, 8471, 1272, 3196, 1648, 563, 18204, 1674, 883, 11545, 5020, 454, 3725, 5942, 3741, 543, 2553, 666, 581, 7471, 883, 3232, 1272, 547, 3986, 2949, 1134, 5630, 912, 20236, 268, 3725, 5942, 281, 31943, 619, 666, 1685, 1582, 268, 3725, 5942, 7886, 5781, 547, 1489, 1582, 13463, 2718, 267, 2569, 2566, 267, 543, 3895, 513, 2631, 540, 3666, 543, 10103, 563, 3891, 2718, 3347, 281, 1234, 5942, 666, 581, 1031, 547, 3895, 18900, 3347, 543, 1489, 6068, 3283, 998, 3845, 7067, 610, 3946, 6823, 7886, 563, 8469, 2787, 543, 24238, 281, 30459, 9066, 543, 11009, 2853, 883, 3232, 1272, 666, 3986, 519, 4276, 609, 1234, 5942, 1648, 543, 11349, 513, 4514, 2631, 540, 4527, 543, 4656, 563, 4467, 921, 29232, 3797, 281, 1234, 5942, 666, 581, 1031, 7258, 6671, 2564, 5574, 267, 13508, 267, 610, 824, 11455, 11257, 547, 3986, 2949, 9716, 563, 3725, 5942, 568, 513, 9543, 2943, 3532, 7067, 1110, 1275, 602, 512, 2355, 883, 519, 8471, 1272, 3196, 1648, 547, 3895, 3666, 267, 11005, 267, 543, 1134, 5630, 269, 2060, 922, 11455, 1935, 547, 7067, 593, 2168, 267, 3929, 267, 543, 5289, 2157, 267, 1234, 5942, 814, 6591, 8560, 607, 513, 14911, 3797, 5001, 269, 1635, 8508, 1234, 5942, 779, 3741, 543, 2553, 267, 2043, 666, 1995, 7096, 2640, 543, 7832, 593, 513, 13710, 3460, 540, 1582, 13463, 2718, 543, 1582, 22523, 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 ]
[ 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 2327, 602, 596, 3251, 2635, 543, 6126, 269, 2290, 1455, 3390, 3425, 3068, 568, 4278, 2313, 267, 513, 1521, 762, 2783, 602, 666, 2014, 9636, 543, 1928, 269, 769, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 9301, 2589, 540, 4278, 2313, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 28202, 2313, 1772, 4373, 1320, 337, 2313, 267, 849, 1634, 607, 6596, 15633, 267, 568, 513, 16507, 3968, 3361, 676, 606, 936, 29115, 540, 15443, 5866, 13803, 269, 901, 2890, 6716, 1143, 6923, 7610, 1080, 1585, 2694, 540, 519, 1480, 1560, 267, 855, 950, 621, 12750, 625, 23494, 267, 2042, 8451, 269, 28202, 2313, 3335, 5540, 2127, 609, 1164, 7509, 2157, 267, 971, 607, 519, 5023, 630, 7394, 4278, 2313, 1070, 29199, 630, 341, 698, 1400, 4278, 2313, 1070, 610, 2960, 26642, 630, 338, 7219, 4278, 2313, 6393, 1262, 3721, 476, 273, 281, 19361, 1944, 23126, 609, 5274, 22845, 4373, 2414, 5431, 2589, 540, 4278, 2313, 267, 596, 991, 547, 1174, 930, 2596, 3344, 540, 1480, 14169, 1384, 265, 2878, 300, 1926, 5093, 634, 5711, 13570, 5161, 540, 17534, 267, 4522, 267, 11469, 267, 14779, 267, 543, 519, 8122, 540, 519, 5023, 630, 25659, 622, 1040, 898, 781, 1141, 1426, 13788, 519, 9667, 1062, 563, 265, 2878, 309, 698, 2088, 5093, 589, 16757, 12324, 8220, 519, 14677, 1460, 630, 12294, 851, 540, 519, 19786, 264, 547, 519, 3544, 540, 519, 4775, 10285, 1062, 269, 4706, 3119, 1599, 568, 27638, 543, 4638, 26697, 563, 265, 2878, 306, 7219, 674, 9529, 5093, 19791, 1141, 2960, 1212, 1162, 610, 6772, 2355, 267, 2870, 3636, 267, 5848, 5054, 3501, 585, 16507, 2208, 269, 5871, 6753, 1331, 818, 5404, 1080, 267, 9240, 514, 1858, 267, 896, 28244, 267, 543, 1063, 19462, 780, 1262, 3721, 476, 274, 281, 17291, 17327, 28202, 2313, 12580, 4373, 302, 1537, 4278, 2313, 5540, 519, 5023, 543, 4478, 8031, 269, 6733, 856, 585, 891, 4191, 1384, 265, 2878, 19669, 4793, 2583, 5093, 18564, 3043, 267, 27598, 9634, 610, 15649, 593, 519, 912, 453, 266, 26280, 826, 454, 453, 266, 28740, 1750, 4060, 454, 453, 266, 717, 4548, 454, 453, 266, 10162, 1993, 540, 519, 5023, 454, 453, 266, 700, 2354, 454, 4322, 15649, 949, 581, 11213, 543, 18053, 952, 16150, 539, 1055, 563, 265, 2878, 16446, 1145, 543, 4210, 2454, 5093, 27297, 2699, 267, 28332, 267, 610, 22224, 2127, 1472, 519, 4299, 4525, 563, 265, 2878, 11795, 22187, 14856, 610, 24935, 5093, 1403, 24948, 267, 4189, 267, 610, 6340, 3587, 13943, 1813, 547, 15319, 1145, 610, 8781, 17915, 563, 265, 2878, 299, 1601, 540, 570, 4292, 5093, 7797, 1022, 2242, 538, 6492, 8226, 610, 17285, 10366, 780, 1262, 3721, 476, 275, 281, 20876, 966, 698, 1400, 28202, 2313, 12580, 4373, 309, 698, 1400, 4278, 2313, 5097, 5540, 2021, 543, 28107, 607, 1384, 265, 2878, 2005, 4221, 610, 8738, 940, 11576, 725, 5093, 1133, 17862, 21422, 267, 588, 15781, 267, 610, 8781, 4606, 538, 519, 21420, 1858, 267, 799, 1522, 22009, 693, 3781, 563, 265, 2878, 6781, 7538, 2598, 8408, 5093, 774, 1157, 267, 3043, 267, 32119, 10381, 6438, 11166, 610, 8966, 17627, 689, 519, 29199, 563, 265, 2878, 303, 664, 4438, 3955, 322, 6847, 5093, 10266, 995, 3023, 610, 30614, 1813, 547, 6553, 543, 16698, 563, 265, 2878, 18933, 18543, 23977, 9366, 5093, 4414, 1145, 267, 11926, 267, 610, 31926, 538, 519, 5175, 12534, 3148, 780, 1262, 3721, 476, 276, 281, 20128, 1154, 16164, 28202, 2313, 12580, 4373, 306, 7219, 4278, 2313, 5526, 538, 2960, 26642, 607, 1384, 265, 2878, 305, 1662, 610, 15776, 687, 5093, 14780, 2213, 267, 8258, 11057, 30919, 610, 15087, 609, 3989, 10665, 267, 1419, 10483, 676, 912, 453, 266, 4414, 1145, 454, 453, 266, 898, 4221, 454, 453, 266, 8738, 940, 454, 453, 266, 595, 6412, 532, 610, 522, 334, 4506, 454, 265, 2878, 27770, 626, 675, 6452, 636, 1637, 5093, 28246, 24852, 610, 14927, 1145, 538, 2960, 26642, 8309, 547, 16507, 2208, 780, 1262, 21206, 9669, 543, 2776, 8619, 1903, 4373, 2691, 15025, 609, 3425, 267, 1832, 538, 2247, 1384, 265, 2878, 23114, 6611, 5093, 21727, 2043, 262, 2123, 6302, 282, 2057, 15700, 610, 6313, 873, 1510, 9844, 563, 265, 2878, 20812, 8958, 5093, 25169, 707, 3946, 4749, 267, 2523, 1354, 7829, 1426, 610, 2502, 538, 2673, 3346, 563, 265, 2878, 18183, 7808, 640, 5093, 19321, 24787, 950, 7234, 6213, 1072, 3584, 899, 4278, 2313, 5563, 780, 1262, 1432, 547, 1684, 8921, 15140, 2252, 596, 14353, 2576, 814, 4278, 2313, 1759, 593, 891, 2589, 267, 5000, 873, 547, 5077, 513, 3782, 3318, 585, 1697, 5868, 543, 2126, 269, 4165, 604, 25193, 6527, 267, 1212, 4461, 267, 610, 1139, 21627, 1559, 616, 4122, 1031, 547, 8396, 4278, 2313, 780, 23558, 256, 1411, 4312, 3144, 519, 1101, 3268, 4724, 1620, 543, 9301, 2589, 540, 4278, 2313, 269, 5457, 547, 4225, 2463, 267, 6568, 267, 543, 1434, 9882, 2853, 1282, 707, 942, 593, 3047, 269, 8414, 3695, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 28403, 1125, 12580, 540, 28202, 2313, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 8988, 14446, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2027, 2749, 1572, 12525, 1723, 267, 799, 814, 12236, 519, 10639, 607, 519, 834, 338, 559, 591, 3854, 540, 519, 1158, 1701, 1411, 1522, 723, 4862, 827, 621, 1354, 267, 5310, 950, 8098, 3931, 513, 17681, 4062, 540, 21305, 610, 2413, 8988, 14446, 24224, 609, 519, 2262, 834, 307, 1314, 1723, 2437, 610, 1247, 19855, 2228, 15945, 15386, 741, 10070, 269, 1924, 1577, 781, 4685, 883, 713, 30811, 7045, 1927, 2439, 299, 11343, 538, 519, 2295, 540, 6792, 267, 31314, 9624, 28677, 7823, 9832, 1369, 519, 1533, 540, 2871, 518, 516, 549, 267, 6013, 519, 23406, 4884, 540, 12525, 1723, 630, 29455, 512, 1695, 330, 27940, 1040, 32163, 730, 28870, 1063, 14297, 6792, 4975, 543, 9341, 3600, 777, 592, 1723, 267, 713, 844, 5593, 2370, 2749, 19646, 1945, 5963, 2189, 1107, 27610, 267, 1688, 8154, 539, 8988, 14446, 899, 24076, 3116, 593, 3047, 2439, 3086, 267, 4952, 1373, 1634, 5001, 585, 835, 3364, 267, 707, 1034, 11108, 13007, 610, 1587, 269, 1280, 12525, 1723, 267, 602, 9058, 10516, 568, 2870, 10875, 569, 6946, 8988, 14446, 4773, 1210, 2757, 2553, 5293, 1524, 998, 5481, 269, 901, 3638, 6561, 7389, 1394, 5553, 3516, 267, 1818, 1169, 2582, 5137, 7184, 12082, 538, 1686, 543, 2528, 269, 1215, 5863, 1131, 621, 1745, 952, 3388, 596, 1500, 729, 15874, 11451, 1175, 1317, 596, 798, 621, 1732, 982, 4896, 3116, 286, 2334, 781, 10502, 875, 7415, 12525, 1723, 568, 2439, 3719, 1946, 568, 12525, 1723, 2808, 519, 1655, 693, 13167, 891, 10347, 25704, 286, 4270, 267, 972, 616, 1896, 4128, 7700, 547, 713, 1134, 17393, 5703, 21239, 269, 17616, 267, 519, 3148, 19299, 10731, 14425, 540, 8988, 7626, 12074, 267, 3246, 2653, 1569, 547, 6151, 2326, 2877, 585, 3623, 951, 19431, 532, 269, 19627, 267, 2199, 29048, 24917, 741, 1983, 23939, 896, 4274, 5583, 267, 4180, 1142, 4062, 9356, 519, 5207, 4441, 540, 2298, 543, 5876, 269, 7831, 855, 6157, 711, 2547, 267, 519, 2686, 4644, 540, 8988, 1740, 538, 12525, 1723, 5849, 602, 713, 2085, 6040, 2245, 3788, 9800, 543, 14762, 1851, 1312, 7264, 543, 14666, 7567, 780, 2691, 9683, 12525, 1723, 2221, 267, 596, 666, 7198, 9952, 5159, 2324, 24091, 538, 741, 11925, 267, 13321, 2241, 4496, 9212, 883, 18198, 28707, 1148, 269, 3958, 267, 3695, 7524, 6990, 1490, 21148, 609, 546, 9579, 1782, 14249, 540, 8988, 959, 1074, 1115, 8591, 10761, 543, 6602, 1472, 1169, 7944, 269, 1656, 1810, 1405, 7340, 519, 4960, 547, 14952, 693, 15999, 7810, 6189, 910, 513, 3308, 21649, 8497, 6792, 781, 3140, 19259, 780, 2026, 649, 14679, 3564, 519, 32604, 540, 938, 13460, 267, 1620, 1114, 4529, 3587, 5051, 1271, 269, 24531, 4025, 899, 12525, 1723, 2636, 721, 547, 5660, 3309, 5389, 267, 6575, 267, 543, 12583, 269, 1635, 1565, 827, 971, 22539, 18353, 267, 649, 1930, 6000, 909, 547, 8508, 2518, 4296, 543, 5807, 7279, 2509, 30152, 3338, 780, 3383, 1985, 942, 596, 7237, 513, 9159, 4062, 540, 1412, 307, 1314, 1723, 18234, 10086, 3314, 519, 1650, 3297, 621, 910, 513, 9661, 18955, 609, 6612, 267, 5578, 267, 543, 9371, 267, 4547, 561, 990, 5944, 547, 1272, 538, 519, 9589, 11204, 10239, 269, 1656, 6148, 14693, 267, 596, 1932, 1223, 1831, 851, 540, 713, 6909, 521, 15676, 676, 8888, 610, 10655, 707, 1378, 10475, 8952, 820, 689, 713, 25713, 15564, 25378, 1412, 338, 559, 591, 3854, 540, 519, 1158, 9538, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 2938, 12525, 1723, 16826, 539, 593, 513, 4062, 540, 21305, 610, 1256, 1007, 10322, 1782, 8988, 9925, 749, 2044, 267, 610, 5018, 2228, 543, 9289, 1018, 621, 568, 286, 1284, 1205, 4280, 713, 2243, 782, 519, 942, 865, 596, 4076, 2097, 547, 519, 1318, 1747, 547, 1265, 856, 811, 563, 2791, 3580, 1265, 2048, 307, 1314, 1723, 685, 543, 2048, 307, 1314, 1723, 18234, 685, 5018, 2066, 938, 3896, 543, 593, 938, 6221, 3817, 543, 609, 1434, 2601, 269, 12525, 1723, 568, 513, 1507, 2749, 538, 6792, 4092, 538, 519, 1164, 4133, 540, 519, 1533, 540, 2871, 518, 516, 549, 1063, 6792, 4975, 543, 3600, 777, 592, 1723, 563, 1607, 796, 817, 11167, 2749, 538, 519, 11204, 10239, 568, 4583, 585, 6721, 930, 540, 519, 20923, 29586, 8988, 9925, 749, 2044, 538, 519, 1158, 543, 568, 1419, 5219, 547, 607, 2048, 1492, 8988, 3854, 540, 519, 1158, 9957, 898, 779, 1100, 1507, 4898, 1287, 602, 938, 1360, 1378, 6216, 2012, 634, 11204, 14635, 568, 6273, 676, 519, 5898, 540, 519, 9925, 749, 2044, 649, 10243, 543, 1104, 689, 6792, 563, 9213, 267, 12525, 1723, 568, 513, 2442, 15805, 10278, 267, 19788, 8436, 689, 782, 936, 519, 1158, 945, 2097, 547, 1294, 922, 4190, 7810, 6189, 267, 19584, 922, 6990, 585, 8988, 9925, 749, 2044, 543, 824, 1835, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 8073, 24956, 545, 1160, 1597, 9809, 531, 28690, 4635, 10871, 23123, 543, 6184, 17508, 692, 272, 269, 25800, 3054, 609, 1160, 1597, 9809, 531, 11951, 281, 5548, 557, 883, 519, 3638, 11477, 5389, 540, 3038, 775, 267, 513, 3148, 538, 25878, 5333, 1634, 585, 922, 7524, 10366, 267, 4195, 5820, 267, 543, 11335, 3310, 269, 3194, 2757, 8286, 971, 607, 3731, 520, 537, 4068, 267, 536, 537, 650, 629, 9820, 572, 267, 513, 2723, 328, 267, 543, 2892, 1228, 562, 328, 9809, 18857, 269, 13760, 519, 2956, 540, 14462, 3282, 267, 13342, 267, 11922, 632, 3038, 775, 267, 14274, 267, 1990, 1075, 577, 7236, 267, 4212, 8690, 267, 11350, 18717, 267, 543, 16872, 538, 1160, 1597, 9809, 531, 5986, 780, 273, 269, 11905, 8076, 2199, 5820, 281, 1677, 1711, 5963, 8076, 1160, 1597, 9809, 531, 8286, 267, 3343, 856, 1164, 7779, 2199, 5820, 269, 16731, 6705, 6990, 267, 20614, 1426, 8637, 267, 610, 2228, 21625, 2519, 593, 6237, 2472, 269, 6206, 5820, 1331, 12725, 3812, 14462, 3282, 267, 13342, 267, 4173, 15816, 632, 3038, 775, 630, 320, 11100, 540, 16815, 1889, 267, 9782, 4424, 267, 7626, 1146, 334, 267, 2261, 329, 528, 600, 267, 29902, 267, 543, 15922, 6978, 1070, 25752, 5979, 558, 14274, 267, 1990, 1075, 577, 7236, 267, 4212, 17852, 267, 11350, 18717, 267, 543, 16872, 899, 3165, 543, 32729, 780, 274, 269, 22737, 519, 1523, 540, 3500, 1426, 281, 20405, 5986, 2409, 1450, 10366, 547, 5283, 323, 543, 1020, 4628, 269, 22982, 2553, 971 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10545, 454, 672, 3693, 540, 606, 5044, 20701, 825, 10545, 815, 2855, 314, 271, 2639, 825, 10545, 16229, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 19906, 15892, 1038, 952, 2855, 5157, 316, 2999, 10545, 912, 2018, 10545, 815, 2855, 5157, 2639, 2018, 10545, 16229, 815, 1775, 454, 825, 2132, 10545, 16229, 692, 3698, 5542, 31374, 19906, 2187, 825, 5727, 18570, 676, 1210, 519, 10545, 1871, 269, 3097, 825, 5932, 513, 1007, 5044, 1287, 17787, 998, 519, 5044, 543, 8591, 519, 3097, 825, 1507, 1871, 547, 519, 1007, 5044, 269, 3973, 25533, 525, 621, 1310, 1840, 454, 825, 8173, 825, 1007, 6635, 337, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 10545, 815, 1265, 22102, 652, 19906, 994, 1038, 1007, 6635, 337, 6910, 19906, 21014, 4433, 332, 718, 652, 4917, 825, 2132, 1007, 6635, 337, 692, 258, 1449, 2418, 547, 4990, 454, 2745, 263, 572, 3005, 31374, 8443, 6812, 267, 476, 1556, 267, 476, 3374, 267, 476, 279, 267, 476, 273, 267, 476, 11820, 279, 267, 476, 4097, 267, 476, 280, 316, 4297, 0, 12163, 25618, 344, 23694, 454, 13117, 692, 296, 4782, 547, 946, 1101, 1362, 3252, 547, 2936, 11150, 1317, 621, 2306, 454, 1492, 3009, 512, 619, 518, 538, 2489, 563, 20701, 454, 3698, 1100, 318, 638, 871, 263, 2567, 1820, 2891, 29389, 9239, 3698, 2695, 324, 752, 263, 2567, 1820, 2891, 338, 4302, 752, 257, 9239, 5035, 16453, 5226, 871, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 12860, 815, 22373, 638, 871, 2580, 834, 638, 12711, 320, 752, 2580, 834, 12702, 19272, 10590, 2639, 1038, 1582, 269, 30915, 815, 910, 272, 692, 825, 1219, 798, 318, 638, 871, 4311, 2187, 1038, 1582, 269, 30915, 815, 630, 1345, 269, 30915, 1341, 476, 272, 264, 4939, 7003, 4311, 269, 12860, 994, 1038, 1820, 4311, 269, 12860, 314, 1345, 269, 30915, 316, 9239, 5035, 667, 3089, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 844, 871, 318, 2041, 8326, 284, 7224, 318, 638, 871, 2187, 1038, 1582, 269, 638, 871, 318, 2041, 8326, 815, 844, 871, 318, 2041, 8326, 692, 825, 1219, 844, 871, 4311, 2187, 1038, 1582, 269, 638, 871, 318, 2041, 8326, 30800, 5035, 11676, 828, 291, 3089, 20573, 3089, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 338, 4302, 752, 9239, 5035, 1323, 935, 320, 291, 3089, 20573, 3089, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 31863, 5226, 871, 14061, 4777, 318, 638, 871, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 585, 21868, 538, 1496, 2304, 935, 320, 291, 3089, 19572, 1323, 935, 320, 291, 3089, 19572, 11676, 828, 291, 3089, 3890, 14158, 1038, 21868, 269, 638, 871, 4590, 1038, 21868, 269, 638, 871, 4590, 1038, 21868, 269, 638, 871, 4590, 1038, 21868, 269, 638, 871, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24893, 25986, 20977, 3248, 3698, 3815, 3799, 2187, 825, 1267, 815, 11713, 825, 1775, 815, 476, 273, 454, 825, 1247, 1775, 2608, 1775, 10922, 562, 912, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 562, 12262, 284, 1775, 454, 2018, 1267, 6910, 9217, 994, 1038, 3116, 912, 2018, 1775, 6834, 476, 272, 454, 825, 952, 562, 3436, 476, 272, 912, 1038, 1267, 6910, 3799, 994, 825, 2132, 1267, 7531, 2745, 263, 26476, 263, 4281, 264, 9239, 258, 476, 274, 264, 11714, 9924, 8563, 19757, 4138, 4344, 11012, 3522, 9261, 9924, 13953, 25338, 17201, 9841, 20732, 26281, 29824, 3378, 13150, 26281, 18194, 3264, 20434, 16021, 23783, 24893, 25986, 20977, 692, 3698, 3900, 518, 5416, 2187, 825, 6305, 19571, 815, 3815, 5416, 994, 825, 3193, 19571, 815, 476, 271, 454, 825, 585, 1775, 538, 6305, 19571, 912, 1038, 952, 1775, 3436, 3193, 19571, 912, 2018, 3193, 19571, 815, 1775, 454, 825, 2132, 630, 10946, 19571, 9239, 2745, 5560, 1204, 518, 263, 15150, 4917, 0, 5228, 28184, 5793, 1104, 2608, 692, 30720, 815, 570, 330, 4590, 30720, 26644, 2891, 300, 850, 547, 918, 332, 20593, 614, 5602, 30720, 6230, 1231, 1125, 263, 12296, 284, 1220, 267, 4463, 284, 1911, 994, 30720, 26769, 14808, 9638, 611, 343, 284, 1839, 267, 533, 8014, 284, 1839, 9239, 3698, 13304, 15461, 318, 14790, 10031, 825, 3593, 17750, 815, 10581, 263, 18782, 10947, 15405, 825, 1267, 815, 3593, 17750, 2608, 476, 272, 269, 2568, 280, 30306, 454, 825, 6003, 318, 275, 26769, 14808, 29495, 284, 325, 262, 346, 14310, 348, 262, 9239, 16932, 815, 22443, 29495, 6889, 300, 3796, 5602, 16932, 26942, 263, 26383, 284, 273, 267, 4737, 284, 271, 2020, 16932, 318, 273, 815, 22443, 29495, 6889, 529, 3160, 547, 5602, 16932, 318, 273, 26942, 263, 26383, 284, 271, 267, 4737, 284, 272, 2020, 16932, 318, 274, 815, 22443, 29495, 6889, 298, 332, 5602, 16932, 318, 274, 26942, 263, 26383, 284, 273, 267, 4737, 284, 272, 2020, 31728, 815, 29502, 29495, 6889, 24280, 2580, 4971, 284, 332, 850, 15461, 318, 14790, 994, 31728, 26942, 263, 26383, 284, 272, 267, 4737, 284, 273, 2020, 18782, 815, 28678, 263, 12296, 284, 276, 994, 18782, 27044, 263, 21715, 267, 5569, 6889, 271, 5602, 18782, 26942, 263, 26383, 284, 272, 267, 4737, 284, 271, 2020, 16932, 318, 275, 815, 22443, 29495, 6889, 271, 5602, 16932, 318, 275, 26942, 263, 26383, 284, 272, 267, 4737, 284, 272, 2020, 30720, 6230, 664, 31467, 3890, 0, 5035, 9906, 24998, 17107, 825, 1219, 1205, 23962, 4311, 2187, 1363, 2132, 1582, 11519, 16557, 692, 825, 1219, 1305, 23962, 4311, 267, 1871, 2187, 1038, 952, 711, 568, 27349, 263, 7407, 267, 703, 2187, 2018, 6318, 28759, 3488, 16557, 1590, 581, 606, 8870, 256, 5073, 1038, 952, 1871, 2999, 476, 271, 610, 1871, 3436, 476, 1911, 912, 2018, 6318, 28759, 3488, 16557, 1590, 1063, 476, 271, 9625, 476, 1911, 256, 5073, 1038, 1582, 11519, 16557, 815, 1871, 7531, 338, 815, 9906, 4590, 338, 15630, 23962, 263, 4200, 994, 338, 10947, 23962, 4590, 338, 15630, 23962, 263, 15886, 2020, 258, 5124, 19540, 483, 419, 377, 362, 7511, 287, 27393, 1399, 420, 352, 483, 421, 354, 364, 417, 503, 357, 420, 368, 509, 420, 368, 352, 418, 488, 488, 22047, 25913, 25622, 419, 376, 500, 31801, 489, 31271, 508, 26233, 356, 420, 364, 481, 17958, 7531, 5035, 9906, 272, 24998, 17107, 825, 7711, 27393, 1399, 454, 825, 1219, 6060, 4311, 2187, 1038, 2132, 1582, 11519, 16557, 692, 825, 7711, 16557, 15630, 614, 454, 825, 1219, 6060, 4311, 267, 1871, 2187, 1038, 952, 711, 568, 27349, 263, 7407, 267, 703, 2187, 2018, 6318, 28759, 3488, 16557, 1590, 581, 606, 8870, 256, 5073, 1038, 952, 1871, 2999, 476, 271, 610, 1871, 3436, 476, 1911, 912, 2018, 6318, 28759, 3488, 16557, 1590, 1063, 476, 271, 9625, 476, 1911, 256, 5073, 1038, 1582, 11519, 16557, 815, 1871, 7531, 258, 17276, 488, 488, 22047, 1326, 614, 25913, 25622, 419, 376, 500, 31801, 489, 31271, 508, 26233, 356, 8147, 9463, 359, 421, 506, 478, 28884, 20693, 510, 31968, 287, 27393, 1399, 16533, 365, 23746, 23284, 29072, 454, 258, 17276, 511, 353, 28793, 8147, 287, 27393, 1399, 10951, 361, 420, 374, 360, 9463, 486, 10254, 505, 417, 375, 374, 29072, 9463, 355, 22047, 420, 352, 483, 421, 354, 364, 417, 503, 357, 7711, 16557, 15630, 614, 267, 420, 368, 509, 420, 368, 352, 418, 488, 488, 22047, 3553, 614, 25913, 25622, 9463, 502, 29873, 31271, 508, 26233, 356, 420, 369, 489, 29219, 454, 258, 476, 30678, 15159, 8147, 16043, 495, 10524, 361, 16533, 365, 20069, 29072, 22047, 23746, 26406, 356, 7511, 31271, 508, 26233, 356, 418, 497, 491, 30853, 454, 338, 272, 815, 9906, 272, 4590, 338, 272, 269, 16557, 815, 476, 2568, 454, 338, 272, 269, 16557, 454, 338, 272, 269, 16557, 815, 476, 15886, 692, 258, 476, 13213, 502, 23746, 23284, 27936, 18263, 487, 9463, 359, 13644, 375, 31271, 508, 26233, 356, 8147, 9463, 359, 27936, 18263, 487, 1326, 614, 25913, 25622, 8147, 21251, 27936, 18263, 487, 3553, 614, 25913, 25622, 16533, 365, 15159, 22047, 9463, 359, 13644, 375, 31271, 508, 26233, 356, 7531, 5035, 9906, 273, 24998, 2187, 825, 7711, 27393, 1399, 454, 825, 1219, 1490, 603, 4311, 2187, 1038, 2132, 1582, 11519, 1962, 603, 692, 825, 7711, 1962, 603, 15630, 3430, 337, 454, 825, 1219, 1490, 603, 4311, 267, 1871, 2187, 1038, 1582, 11519, 1962, 603, 815, 1871, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2085, 4311, 2187, 1038, 2132, 476, 1001, 279, 268, 1345, 11519, 1962, 603, 692, 258, 7711, 27393, 1399, 23946, 379, 21796, 505, 18021, 498, 17958, 21928, 32352, 7511, 27936, 18263, 487, 18809, 8147, 23746, 23284, 18777, 358, 420, 364, 481, 17958, 26033, 483, 19540, 503, 24731, 28997, 478, 419, 509, 511, 7511, 28786, 419, 510, 479, 8147, 12571, 490, 28793, 32517, 507, 13644, 479, 28098, 9463, 480, 12255, 13213, 505, 27310, 417, 379, 483, 28884, 7511, 418, 352, 478, 418, 509, 354, 454, 258, 476, 30244, 21550, 371, 8147, 31801, 489, 31365, 13213, 494, 27310, 28793, 16533, 365, 16583, 493, 16533, 495, 29072, 24731, 421, 498, 503, 7511, 23746, 420, 25693, 26233, 356, 454, 0, 258, 13127, 506, 357, 16583, 30936, 19540, 483, 421, 481, 357, 8147, 23746, 23284, 420, 364, 481, 17958, 10429, 370, 10524, 500, 16583, 30936, 12486, 417, 28187, 31563, 22047, 16583, 30936, 21928, 19540, 483, 421, 481, 357, 420, 364, 481, 17958, 420, 485, 359, 420, 374, 360, 10951, 361, 420, 374, 360, 8147, 30244, 14748, 16583, 30936, 16533, 365, 15159, 20881, 496, 25051, 496, 16583, 30936, 454, 258, 476, 20881, 496, 25051, 496, 16583, 30936, 7511, 25263, 502, 30536, 15159, 27936, 18263, 487, 28997, 478, 22287, 499, 8147, 20881, 375, 20001, 495, 418, 372, 483, 418, 503, 364, 12486, 419, 494, 484, 18777, 374, 31968, 8147, 19867, 478, 20069, 7511, 20881, 496, 25051, 496, 16583, 30936, 421, 25693, 23746, 23284, 19540, 503, 29873, 23523, 359, 27064, 363, 7511, 25913, 19764, 493, 8147, 12916, 484, 15159, 23523, 359, 27064, 363, 7511, 20881, 375, 20001, 495, 21251, 417, 28187, 20881, 496, 25051, 496, 418, 372, 483, 418, 503, 364, 454, 258, 476, 12916, 379, 17958, 20881, 496, 25051, 496, 16583, 30936, 421, 506, 478, 28884, 21796, 357, 418, 482, 493, 421, 502, 366, 27882, 351, 21550, 486, 418, 374, 351, 24731, 12486, 21928, 18777, 350, 28997, 501, 10951, 374, 18809, 8147, 16583, 30936, 420, 364, 481, 17958, 15159, 20881, 504, 13213, 485, 21550, 486, 27818, 23637, 24724, 30244, 26175, 491, 12255, 29004, 362, 14756, 497, 22909, 482, 14395, 508, 27064, 364, 7511, 454, 258, 17276, 363, 493, 25051, 497, 13213, 505, 24662, 22047, 16583, 30936, 420, 364, 481, 17958, 8147, 21550, 486, 16533, 365, 25263, 504, 20693, 510, 13601, 31271, 480, 21550, 486, 27747, 356, 8147, 30006, 493, 25051, 497, 16583, 30936, 13213, 498, 18713, 508, 8147, 21550, 486, 16533, 365, 25263, 504, 417, 375, 374, 18777, 362, 31271, 480, 21550, 486, 27747, 356, 25707, 258, 476, 13200, 365, 30678, 21550, 486, 7511, 27962, 16533, 493, 21251, 15159, 20721, 510, 30522, 494, 7511, 8147, 19867, 478, 23284, 8147, 20881, 496, 25051, 496, 420, 364, 481, 17958, 7511, 418, 361, 350, 12255, 13213, 485, 14035, 504, 8147, 18713, 508, 21382, 376, 420, 485, 368, 21550, 486, 418, 374, 351, 24731, 454, 258, 476, 25335, 352, 19540, 367, 20881, 496, 25051, 496, 420, 364, 481, 17958, 21550, 486, 418, 374, 351, 24731, 7511, 25913, 25622, 15159, 20881, 504, 13213, 485, 13127, 364, 378, 20881, 496, 25051, 496, 476, 25263, 502, 25060, 500, 8147, 11590, 489, 14395, 508, 31968, 16533, 378, 20881, 496, 25051, 496, 25520, 23523, 359, 27064, 363, 7511, 10533, 486, 31563, 15159, 13601, 21550, 371, 7511, 454, 258, 17276, 487, 478, 23284, 8147, 418, 488, 488, 23523, 359, 27064, 363, 419, 506, 489, 29873, 15159, 13601, 26175, 491, 29830, 373, 418, 362, 488, 7511, 16533, 378, 20881, 496, 25051, 496, 16583, 30936, 18263, 509, 15159, 23746, 23284, 7511, 692, 258, 13127, 364, 378, 20881, 496, 25051, 496, 15159, 418, 490, 485, 8147, 21928, 16583, 30936, 13213, 498, 18713, 508, 7511, 28793, 22390, 503, 8147, 25203, 501, 17958, 420, 485, 359, 420, 374, 360, 10951, 361, 420, 374, 360, 8147, 23946, 370, 4970, 498, 8147, 8873, 13644, 511, 9463, 354, 21251, 420, 25693, 25060, 483, 12571, 360, 23989, 20001, 378, 19764, 493, 454, 258, 476, 30244, 21550, 371, 8147, 419, 376, 500, 13644, 495, 417, 503, 357, 16043, 500, 26033, 483, 25335, 352, 19404, 488, 417, 503, 357, 16533, 365, 23746, 23284, 418, 488, 488, 16533, 378, 20881, 496, 25051, 496, 417, 479, 504, 25263, 502, 25060, 500, 8147, 12916, 379, 20881, 496, 25051, 496, 10951, 361, 420, 374, 360, 20721, 510, 18777, 374, 420, 364, 481, 17958, 14035, 504, 16533, 495, 418, 361, 350, 8147, 421, 25693, 9463, 359, 22287, 510, 17958, 22047, 21550, 486, 27747, 356, 8147, 21251, 25263, 504, 24731, 27064, 364, 21550, 486, 418, 374, 351, 24731, 692, 3698, 1249, 3799, 2187, 825, 2132, 1249, 318, 3438, 3799, 267, 272, 2020, 3698, 1249, 318, 3438, 16325, 267, 28237, 2187, 825, 952, 1003, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 2132, 1249, 318, 3438, 16325, 268, 272, 267, 11133, 265, 28237, 2020, 258, 13127, 364, 378, 20881, 496, 25051, 496, 420, 364, 481, 17958, 28793, 8147, 417, 28187, 31563, 417, 479, 504, 29072, 25263, 502, 25060, 500, 8147, 21550, 486, 21251, 25263, 504, 417, 351, 508, 421, 499, 379, 8147, 18713, 510, 27882, 353, 8147, 20721, 510, 18777, 374, 14035, 504, 16533, 495, 418, 361, 350, 420, 364, 481, 17958, 18263, 509, 21251, 25263, 504, 21382, 376, 420, 485, 368, 21550, 486, 418, 374, 351, 24731, 692, 258, 476, 14756, 481, 18263, 510, 17276, 365, 487, 13644, 374, 417, 350, 498, 454, 3698, 1847, 3799, 28083, 14720, 22698, 2187, 825, 952, 562, 2525, 272, 912, 1038, 1820, 5416, 10086, 734, 285, 3299, 322, 994, 825, 3116, 912, 1038, 1847, 3799, 268, 272, 267, 513, 267, 524, 267, 536, 994, 1038, 1847, 263, 272, 267, 513, 267, 536, 267, 524, 994, 1038, 1847, 3799, 268, 272, 267, 536, 267, 513, 267, 524, 2020, 332, 913, 263, 275, 10086, 288, 12887, 289, 12887, 290, 10807, 0, 258, 9226, 19540, 483, 419, 377, 362, 29072, 23523, 486, 14035, 504, 20069, 17958, 23523, 501, 16583, 30936, 8147, 16043, 495, 10524, 361, 23746, 23284, 25203, 368, 26406, 354, 420, 364, 481, 17958, 8147, 28032, 489, 417, 28187, 692, 258, 2612, 3890, 418, 365, 480, 14756, 507, 28098, 29219, 454, 343, 815, 2612, 263, 1911, 994, 344, 815, 2612, 8987, 736, 994, 2745, 3287, 267, 586, 2020, 258, 3193, 3890, 418, 365, 480, 31006, 27962, 29219, 454, 2745, 3488, 10946, 263, 272, 267, 476, 273, 267, 476, 274, 264, 815, 3299, 3193, 263, 272, 267, 476, 273, 267, 476, 274, 11723, 258, 1295, 3890, 418, 365, 480, 31006, 16533, 493, 29219, 454, 2745, 3488, 2381, 263, 272, 267, 476, 273, 267, 476, 274, 264, 815, 3299, 1295, 263, 272, 267, 476, 273, 267, 476, 274, 11723, 258, 2040, 3890, 17276, 365, 480, 25520, 16583, 30936, 454, 2745, 3488, 8999, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 815, 3299, 2040, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 2020, 258, 476, 12255, 29004, 362, 32352, 417, 508, 489, 23523, 501, 420, 377, 361, 29004, 351, 692, 258, 703, 3890, 418, 488, 488, 10429, 370, 10524, 500, 12255, 29004, 362, 32352, 417, 508, 489, 420, 377, 361, 20992, 10533, 368, 12255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 13334, 267, 543, 1346, 945, 616, 811, 3742, 538, 519, 2146, 267, 616, 2693, 547, 723, 1569, 547, 811, 1761, 5561, 543, 723, 811, 540, 513, 1101, 2173, 1478, 5413, 269, 18242, 543, 3747, 568, 513, 1079, 17574, 1184, 267, 711, 1945, 602, 666, 581, 12193, 676, 3059, 20317, 4805, 267, 543, 2870, 3747, 568, 519, 1797, 547, 5963, 8275, 519, 1871, 540, 23088, 7221, 563, 4517, 585, 519, 23088, 2872, 607, 513, 2898, 267, 519, 11944, 540, 513, 10178, 4346, 568, 849, 2693, 547, 3142, 811, 3007, 547, 519, 5817, 2029, 543, 519, 4890, 10626, 540, 23088, 267, 2864, 982, 1175, 519, 575, 9404, 1157, 540, 3902, 563, 763, 2104, 1871, 540, 23088, 2501, 689, 1312, 2242, 538, 29925, 543, 2104, 6666, 2095, 7653, 269, 966, 2728, 725, 616, 9141, 676, 23019, 2534, 543, 666, 3006, 581, 519, 3119, 9920, 540, 3902, 7071, 563, 2690, 1383, 267, 538, 5412, 476, 1001, 278, 267, 519, 3902, 540, 15303, 334, 298, 527, 1399, 1948, 1240, 838, 27419, 689, 476, 280, 661, 8025, 547, 476, 26562, 661, 8025, 538, 1175, 1614, 2395, 267, 950, 621, 1226, 730, 547, 1269, 8099, 267, 3583, 278, 772, 2529, 269, 9489, 267, 543, 972, 723, 1044, 9118, 2487, 2665, 540, 20821, 4226, 779, 3902, 21782, 269, 2368, 949, 8044, 602, 3902, 25359, 1813, 547, 29925, 949, 723, 513, 2942, 1764, 593, 23088, 267, 855, 25127, 814, 2141, 1044, 513, 2067, 851, 540, 1034, 3425, 543, 568, 606, 7533, 851, 540, 519, 1699, 2883, 1062, 269, 1403, 519, 1318, 3666, 568, 13351, 267, 9367, 666, 2333, 519, 1871, 540, 23088, 1247, 19788, 811, 1007, 3755, 563, 7804, 1508, 676, 513, 1875, 3620, 558, 15119, 3761, 540, 21797, 543, 23019, 2623, 267, 23088, 3902, 5322, 723, 7930, 1831, 20218, 2509, 2883, 5092, 6788, 563, 2690, 1383, 267, 519, 4583, 14229, 6033, 19458, 267, 14351, 311, 267, 814, 2938, 513, 1269, 272, 5479, 29925, 267, 538, 851, 1317, 519, 3760, 9415, 25127, 593, 519, 3902, 540, 14229, 5474, 267, 6707, 2870, 930, 20317, 538, 519, 14229, 6033, 2344, 563, 31306, 6666, 2095, 568, 519, 1719, 610, 10424, 2906, 12236, 676, 519, 3312, 8227, 540, 519, 23088, 269, 1280, 1383, 267, 8111, 305, 732, 2636, 519, 17082, 540, 23088, 11247, 547, 4309, 513, 476, 274, 260, 28370, 1142, 942, 741, 11247, 568, 13604, 4421, 593, 519, 6281, 2344, 269, 6684, 267, 538, 681, 541, 1043, 267, 519, 23088, 11247, 5137, 3760, 267, 513, 6871, 666, 581, 1305, 607, 513, 28370, 593, 6281, 6455, 1169, 942, 606, 2278, 5932, 606, 23088, 4015, 269, 1280, 1383, 269, 1323, 7376, 5932, 513, 3059, 960, 543, 23619, 621, 585, 476, 271, 269, 273, 661, 8025, 609, 513, 476, 1015, 260, 28370, 269, 13536, 267, 519, 23138, 540, 602, 960, 1191, 961, 338, 519, 7206, 693, 513, 2362, 3902, 1448, 1107, 476, 271, 269, 276, 661, 8025, 1107, 543, 519, 28370, 1062, 2501, 883, 1404, 269, 1306, 519, 3312, 1543, 17082, 267, 519, 3312, 7376, 786, 4309, 476, 1015, 260, 540, 602, 9042, 267, 610, 476, 271, 269, 4962, 661, 8025, 563, 1103, 519, 2104, 267, 9367, 666, 10210, 2035, 689, 1546, 22380, 10124, 547, 2285, 1483, 946, 547, 23088, 602, 1599, 607, 1483, 8996, 7221, 269, 23088, 568, 606, 10697, 602, 666, 581, 682, 1078, 543, 32097, 1242, 543, 666, 581, 759, 1245, 1179, 592, 8271, 547, 1711, 3606, 6666, 2095, 543, 2333, 8907, 585, 519, 23649, 563, 299, 1172, 7190, 14167, 630, 299, 1172, 7190, 14167, 264, 568, 519, 942, 543, 1942, 2838, 547, 6460, 606, 5092, 10697, 883, 6666, 269, 1323, 10697, 568, 1767, 547, 581, 3810, 5277, 952, 621, 666, 581, 10736, 547, 6666, 538, 513, 5266, 2110, 1974, 540, 942, 693, 513, 3902, 2673, 547, 2344, 1871, 269, 769, 519, 23088, 2230, 267, 519, 28880, 14167, 4016, 547, 519, 946, 540, 1164, 28880, 547, 14377, 883, 513, 2362, 23088, 1871, 563, 8245, 2952, 2322, 267, 593, 519, 835, 1688, 267, 2344, 5171, 616, 3622, 4439, 1501, 593, 519, 9467, 16548, 540, 606, 5817, 23088, 543, 25963, 616, 811, 8348, 547, 3180, 621, 585, 519, 1279, 2165, 282, 593, 519, 824, 1688, 267, 2344, 5171, 3494, 602, 519, 2104, 16548, 540, 824, 5817, 7221, 616, 28842, 1304, 569, 17071, 547, 519, 5817, 23088, 269, 519, 18595, 1456, 540, 891, 1079, 4397, 2618, 3098, 267, 799, 616, 7683, 18674, 267, 3947, 4473, 547, 513, 1164, 28880, 540, 519, 5817, 23088, 267, 10451, 513, 28880, 14167, 563, 763, 28880, 14167, 568, 519, 1292, 2601, 1946, 21797, 2813, 593, 7302, 664, 1058, 723, 513, 2362, 1871, 982, 1055, 7302, 664, 7221, 269, 2207, 290, 268, 20598, 32454, 616, 3362, 28110, 547, 2333, 4598, 538, 519, 6281, 2344, 585, 1346, 945, 3180, 661, 8025, 267, 2810, 519, 1297, 540, 1761, 18046, 269, 769, 2489, 267, 9520, 4782, 547, 1902, 538, 519, 2362, 31891, 23088, 7121, 1317, 519, 1164, 28880, 6971, 519, 1981, 540, 8066, 32454, 563, 11101, 267, 1256, 538, 519, 3665, 2013, 1141, 32454, 6336, 741, 10626, 1871, 1310, 519, 4143, 3760, 32195, 267, 3810, 5277, 23088, 7221, 2611, 3407, 607, 1279, 607, 972, 616, 1004, 8348, 547, 4444, 543, 6133, 32454, 269, 2201, 519, 824, 1688, 267, 1346, 23088, 4441, 602, 616, 711, 1759, 593, 661, 750, 616, 3622, 2192, 18612, 267, 543, 519, 1871, 540, 32454, 2813, 593, 891, 5867, 568, 1419, 7494, 21022, 563, 14946, 619, 666, 15407, 519, 9297, 540, 741, 21797, 547, 5000, 3755, 547, 2333, 519, 4908, 540, 8852, 267, 2333, 10697, 23649, 6278, 267, 543, 2333, 519, 28880, 540, 32454, 269, 1280, 1383, 267, 3756, 666, 1374, 6127, 602, 5401, 5716, 547, 23396, 7221, 547, 2611, 8013, 538, 519, 3014, 267, 609, 513, 7222, 28595, 538, 519, 1871, 540, 23088, 7221, 952, 789, 1694, 7329, 548, 585, 1932, 1279, 563, 1103, 1840, 267, 32454, 723, 606, 18399, 1871, 269, 4014, 18399, 1871, 568, 711, 607, 1454, 607, 6198, 1871, 1570, 2744, 593, 519, 2627, 267, 621, 666, 811, 5693, 7291, 519, 18399, 3693, 4547, 676, 3059, 20317, 267, 543, 666, 2992, 602, 23088, 568, 513, 3636, 2029, 1587, 563, 2304, 8723, 21888, 3032, 949, 711, 6133, 585, 1454, 538, 2344, 8852, 267, 855, 621, 949, 2097, 689, 513, 4483, 689, 513, 3659, 610, 7237, 609, 513, 14626, 2064, 267, 543, 1287, 519, 2189, 4162, 540, 23088, 1118, 519, 10697, 538, 1688, 811, 10475, 269, 1280, 1034, 3059, 7221, 267, 713, 7915, 15949, 4577, 1871, 568, 2495, 1652, 269, 1280, 32454, 267, 2705, 267, 621, 666, 581, 606, 3773, 1871, 602, 24643, 18046, 610, 5411, 563, 763, 15949, 4577, 2460, 540, 1871, 568, 1360, 7493, 543, 814, 513, 2165, 1572, 968, 6798, 7240, 4994, 673, 640, 6100, 769, 2445, 17156, 3069, 267, 1004, 899, 2445, 17156, 1317, 789, 723, 930, 4990, 540, 27367, 3693, 602, 30455, 547, 930, 1271, 2680, 538, 519, 2250, 610, 2576, 779, 3140, 1272, 269, 1656, 713, 1523, 568, 838, 3739, 936, 883, 519, 3059, 2230, 538, 519, 1106, 540, 23088, 267, 799, 568, 1100, 3476, 5690, 545, 610, 12985, 267, 855, 3587, 606, 7533, 851, 540, 1272, 563, 4407, 519, 4542, 585, 3024, 532, 23088, 729, 5018, 1657, 267, 519, 1871, 540, 23088, 568, 2484, 689, 513, 24120, 3948, 1210, 891, 1906, 14573, 267, 6862, 666, 621, 581, 1767, 602, 1210, 713, 835, 942, 4542, 786, 17046, 569, 2268, 875, 1454, 23088, 568, 8308, 12595, 538, 519, 19458, 563, 10214, 519, 5266, 1454, 12863, 1184, 540, 21501, 519, 2344, 1871, 540, 4630, 4094, 1242, 21797, 8188, 1585, 2591, 267, 971, 607, 18351, 3761, 2152, 267, 543, 2009, 561, 879, 837, 532, 8852, 267, 1851, 1866, 563, 309, 2728, 566, 540, 1875, 3620, 558, 4094, 1242, 21797, 568, 6923, 811, 2352, 267, 6849, 2591, 1519, 513, 3810, 23019, 2344, 267, 3668, 540, 28880, 267, 23088, 4763, 267, 16385, 543, 2344, 15670, 267, 543, 2344, 2450, 267, 1851, 824, 2188, 563, 11947, 569, 4325, 1529, 894, 29714, 454, 6624, 1004, 723, 519, 2243, 540, 2436, 519, 3902, 540, 606, 23088, 10697, 585, 9042, 609, 930, 4086, 1464, 666, 581, 1031, 547, 5581, 519, 1871, 540, 602, 23088, 950, 7900, 606, 23088, 29925, 563, 763, 2626, 568, 1100, 267, 519, 1699, 1592, 540, 5777, 540, 32454, 609, 930, 4086, 1464, 568, 711, 1360, 13181, 269, 2755, 519, 23088, 5117, 568, 1319, 1005, 267, 621, 568, 1869, 3810, 23019, 269, 1306, 513, 1267, 267, 1082, 18046, 630, 3467, 610, 1447, 3222, 540, 519, 1483, 2344, 3466, 264, 4444, 7221, 538, 606, 3801, 547, 1191, 961, 873, 267, 1256, 693, 476, 1015, 2053, 741, 759, 1446, 3902, 269, 898, 568, 585, 713, 2601, 602, 538, 519, 1546, 25218, 663, 2344, 267, 1256, 519, 1447, 14909, 1269, 299, 13263, 536, 1749, 666, 979, 909, 547, 476, 1015, 2929, 10790, 2793, 563, 299, 871, 540, 28880, 454, 15812, 564, 28880, 568, 1776, 2352, 3815, 538, 3024, 532, 606, 10697, 269, 1403, 1100, 13380, 10697, 568, 1373, 4421, 267, 610, 952, 519, 2063, 9042, 729, 811, 982, 476, 277, 3275, 3516, 267, 519, 1699, 2344, 29925, 540, 519, 10697, 949, 711, 581, 607, 4977, 563, 2005, 568, 1271, 547, 4063, 602, 519, 2362, 519, 3059, 20317, 540, 606, 10697, 630, 324, 3052, 269, 29331, 1133, 577, 7134, 6486, 264, 543, 2189, 7221, 630, 691, 1740, 5950, 538, 476, 272, 5299, 543, 711, 29884, 547, 606, 11247, 3126, 1070, 519, 811, 2352, 621, 568, 547, 1265, 513, 4143, 1448, 540, 6476, 585, 3024, 532, 2344, 1871, 563, 301, 10499, 338, 616, 1634, 547, 581, 2189, 538, 2470, 267, 855, 972, 616, 2484, 811, 982, 835, 1826, 540, 23088, 267, 972, 616, 7366, 540, 873, 269, 32454, 666, 581, 9286, 883, 1896, 6688, 1759, 593, 741, 5817, 3059, 7221, 269, 1280, 1383, 267, 513, 623, 758, 2946, 3000, 3556, 23088, 4421, 676, 962, 719, 21310, 8298, 534, 6754, 1223, 581, 9286, 607, 513, 3059, 9467, 3556, 282, 513, 3908, 7160, 17581, 23088, 609, 2594, 6455, 676, 29382, 476, 274, 6369, 308, 1223, 581, 9286, 607, 513, 3059, 11247, 563, 10376, 1788, 13847, 922, 1378, 23088, 267, 543, 1142, 23088, 5161, 540, 922, 1378, 27034, 267, 10452, 1114, 4162, 1369, 519, 9757, 1788, 269, 4475, 267, 519, 29925, 540, 32454, 666, 3006, 581, 1759, 593, 6662, 7355, 267, 543, 3006, 593, 741, 1871, 538, 519, 2146, 563, 11997, 267, 5265, 3024, 532, 1142, 1826, 540, 23088, 3340, 7156, 540, 519, 27034, 602, 11225, 922, 1871, 563, 5278, 1806, 540, 7355, 547, 5581, 519, 1871, 540, 606, 10697, 563, 5719, 25218, 663, 1107, 1269, 299, 13263, 454, 763, 9995, 7901, 1107, 1269, 299, 13263, 454, 3682, 343, 14383, 547, 513, 3844, 267, 4155, 2515, 267, 11112, 1858, 267, 2673, 547, 2919, 610, 2442, 1483, 10040, 2127, 7498, 294, 16104, 1133, 577, 7134, 1107, 1269, 290, 19181, 454, 25205, 2012, 267, 678, 10846, 267, 7592, 2560, 7498, 290, 7973, 334, 309, 2135, 1564, 1107, 1269, 20302, 5183, 454, 27455, 19715, 267, 8092, 12025, 2560, 7498, 8170, 1576, 267, 607, 23088, 3785, 543, 6990, 11457, 6385, 267, 891, 7355, 991, 547, 581, 16111, 14661, 543, 3144, 883, 7156, 269, 7201, 519, 595, 7563, 29925, 12191, 267, 23088, 4570, 2209, 666, 5402, 2824, 9263, 4086, 1963, 538, 519, 1482, 7121, 630, 1410, 6984, 519, 22350, 23019, 6455, 5018, 1657, 264, 547, 3132, 513, 1804, 2039, 540, 2418, 602, 616, 711, 3908, 547, 513, 1906, 27929, 14573, 543, 1683, 513, 5266, 10257, 14499, 2039, 585, 30497, 18046, 269, 1306, 519, 1297, 540, 23088, 6455, 4679, 267, 513, 811, 6325, 29925, 666, 581, 6913, 1759, 593, 513, 3677, 3732, 563, 2662, 2297, 543, 10369, 631, 5474, 454, 17843, 2010, 540, 5171, 538, 519, 23088, 2344, 7119, 538, 519, 23088, 1982, 538, 1114, 2081, 269, 10369, 15670, 666, 4867, 1592, 513, 6718, 3902, 585, 606, 10697, 267, 1256, 1498, 519, 10697, 949, 581, 2362, 982, 519, 2344, 3902, 540, 513, 3105, 9042, 563, 4322, 6455, 1711, 9551, 757, 270, 1410, 8526, 602, 3112, 581, 16053, 538, 10697, 29925, 267, 855, 1058, 849, 711, 581, 2808, 519, 2343, 585, 23088, 29925, 563, 2252, 30073, 16976, 547, 4444, 513, 1612, 4897, 540, 2244, 593, 634, 9995, 7901, 14182, 585, 1269, 4335, 267, 1822, 267, 1281, 602, 1611, 602, 782, 519, 2244, 593, 634, 9995, 7901, 568, 4502, 602, 3902, 286, 2107, 568, 621, 1152, 30073, 779, 2244, 602, 568, 4502, 602, 3902, 286, 9894, 646, 936, 335, 599, 267, 610, 1705, 646, 5581, 513, 1007, 25664, 566, 543, 7678, 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 ]
[ 10872, 786, 5512, 596, 547, 1020, 6791, 538, 2780, 2257, 1382, 1247, 2766, 1681, 707, 2090, 547, 707, 1378, 4690, 267, 1991, 547, 606, 6905, 4853, 13307, 538, 513, 1483, 8996, 1604, 563, 15152, 11017, 940, 543, 7393, 707, 4540, 1702, 543, 1620, 540, 2780, 2257, 267, 713, 9049, 322, 786, 16491, 596, 609, 1007, 1983, 543, 1683, 513, 2178, 4493, 585, 707, 2104, 4876, 538, 519, 8668, 2872, 563, 17413, 835, 568, 3810, 8465, 267, 609, 835, 25471, 9074, 602, 786, 1020, 519, 1983, 2877, 547, 2932, 2780, 2257, 1382, 563, 2791, 3580, 3442, 6967, 3584, 689, 513, 3099, 540, 18593, 13838, 269, 1411, 1223, 1904, 547, 1445, 593, 4052, 6620, 543, 1239, 5599, 2553, 267, 3605, 31127, 6273, 5688, 5314, 267, 24917, 707, 6791, 538, 4359, 1357, 1099, 860, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 984, 2480, 1117, 30389, 609, 524, 1258, 543, 693, 257, 607, 851, 540, 834, 28035, 1315, 3590, 10029, 1315, 12380, 1299, 6167, 21197, 10029, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12465, 1261, 531, 619, 543, 661, 671, 619, 607, 22895, 832, 910, 590, 23852, 29803, 1315, 7087, 10076, 2657, 1299, 23046, 692, 8893, 476, 272, 281, 4197, 3776, 8836, 24306, 692, 5331, 596, 2811, 6972, 998, 513, 4190, 4104, 4904, 609, 7381, 4054, 602, 723, 11542, 972, 585, 7366, 540, 1296, 269, 1452, 4054, 616, 899, 707, 11937, 1107, 8797, 267, 2178, 267, 543, 2407, 540, 2984, 5293, 1524, 998, 5481, 269, 1635, 1620, 543, 19825, 891, 2686, 5072, 267, 1175, 899, 6616, 827, 519, 1686, 540, 1346, 3504, 4054, 267, 596, 666, 1451, 3407, 4245, 543, 2744, 4222, 1282, 4101, 2053, 269, 901, 568, 1018, 2757, 12115, 619, 543, 22242, 798, 585, 741, 2950, 1107, 789, 957, 607, 23003, 945, 948, 1004, 1921, 609, 741, 6561, 543, 1265, 7067, 1369, 621, 780, 12244, 281, 3194, 2199, 6805, 11031, 610, 2950, 2282, 707, 1858, 543, 1711, 513, 2110, 6881, 15386, 741, 5389, 267, 4978, 267, 543, 1022, 1634, 7067, 2853, 780, 14945, 8893, 476, 273, 281, 5808, 3657, 12465, 1261, 531, 619, 2496, 1103, 1082, 4529, 1472, 519, 1158, 267, 972, 616, 2027, 2043, 1572, 2757, 12115, 619, 269, 1358, 4865, 2189, 7326, 543, 1983, 602, 1450, 873, 547, 1489, 2168, 267, 2790, 267, 543, 3929, 8171, 1210, 942, 3620, 517, 1819, 2553, 269, 2368, 949, 946, 11922, 267, 12738, 267, 610, 9423, 547, 3391, 1866, 4724, 3666, 543, 10103, 538, 1272, 269, 6056, 540, 2757, 12115, 619, 607, 2470, 781, 1378, 16293, 2439, 12244, 281, 3503, 513, 835, 22240, 1650, 827, 513, 14070, 2757, 12115, 518, 1915, 945, 2337, 2576, 538, 991, 1210, 741, 1702, 540, 2371, 267, 17035, 267, 610, 2146, 7554, 780, 14945, 8893, 476, 274, 281, 1548, 6496, 898, 6399, 1677, 2142, 1323, 26744, 2496, 292, 671, 619, 3180, 7158, 540, 1390, 2463, 538, 741, 2950, 1317, 540, 741, 3573, 1995, 267, 19017, 7326, 267, 543, 2620, 4296, 547, 18577, 10752, 269, 10705, 7674, 607, 1909, 3631, 267, 31548, 267, 543, 23003, 267, 22242, 1683, 5583, 543, 2671, 1898, 2418, 609, 7820, 5481, 269, 1411, 1810, 1405, 8209, 991, 547, 581, 2025, 547, 1831, 606, 9632, 1107, 4896, 666, 18220, 891, 7907, 676, 11744, 15657, 267, 8296, 267, 543, 6043, 780, 12244, 281, 19877, 513, 1920, 4759, 610, 7023, 936, 476, 2568, 1296, 2025, 543, 2307, 873, 827, 741, 2833, 3395, 909, 267, 5796, 585, 10188, 2352, 3871, 267, 543, 1022, 4245, 789, 1131, 899, 547, 1780, 2059, 269, 9523, 707, 4681, 609, 519, 1362, 780, 14945, 8893, 476, 275, 281, 4045, 532, 2060, 3776, 13574, 9608, 661, 671, 619, 692, 4407, 711, 782, 540, 721, 723, 1569, 547, 2757, 12115, 619, 610, 22242, 689, 6805, 4529, 267, 649, 666, 1869, 3343, 856, 23003, 945, 666, 2709, 2147, 5583, 543, 1489, 269, 6333, 4466, 513, 4116, 267, 16455, 267, 24468, 267, 610, 1256, 606, 4587, 3659, 945, 24151, 930, 540, 519, 4162, 540, 2757, 12115, 619, 543, 22242, 269, 8490, 971, 3347, 786, 10802, 707, 1272, 543, 6536, 2123, 2208, 780, 12244, 281, 8073, 513, 5075, 4604, 8204, 707, 4998, 21927, 1107, 2576, 945, 1223, 8300, 596, 267, 4001, 596, 1007, 1919, 267, 543, 948, 596, 6330, 2591, 269, 5463, 28672, 621, 609, 2592, 267, 1913, 267, 543, 6698, 2759, 689, 17476, 610, 9102, 2228, 780, 3528, 1565, 827, 2757, 12115, 619, 543, 22242, 267, 649, 8956, 519, 3309, 2686, 10080, 602, 3337, 8103, 781, 7104, 3961, 269, 1306, 649, 2263, 891, 5107, 267, 649, 3605, 2081, 547, 7794, 938, 4296, 609, 6000, 267, 1142, 824, 267, 543, 519, 2067, 1158, 269, 5457, 267, 3025, 814, 1945, 3407, 547, 2671, 267, 865, 9784, 707, 6418, 12115, 518, 543, 9632, 267, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2132, 3643, 547, 1715, 3840, 4975, 4547, 721, 1394, 547, 938, 840, 21232, 566, 609, 513, 1715, 3840, 268, 17809, 4532, 564, 1144, 683, 343, 639, 799, 649, 630, 333, 6334, 264, 1491, 13948, 269, 2290, 2601, 585, 938, 2487, 3643, 729, 513, 1623, 24007, 4371, 676, 519, 8416, 585, 1715, 3840, 3427, 5525, 4171, 2140, 729, 267, 968, 4322, 9741, 744, 1162, 281, 589, 20283, 532, 1848, 634, 12784, 2680, 649, 13984, 729, 513, 1305, 540, 8440, 543, 13220, 693, 519, 1309, 591, 333, 748, 27201, 12565, 13646, 538, 12752, 4975, 267, 27201, 563, 10112, 18620, 609, 519, 1623, 24007, 264, 729, 513, 2773, 540, 968, 2521, 256, 8347, 256, 3828, 823, 2223, 513, 2542, 540, 1079, 540, 7671, 744, 685, 295, 4673, 779, 2038, 4249, 269, 634, 1101, 4528, 540, 519, 968, 2521, 256, 8347, 256, 630, 4198, 272, 264, 1185, 4465, 744, 685, 295, 4673, 513, 14929, 6229, 13815, 693, 519, 2160, 540, 12309, 1141, 744, 685, 295, 4673, 1185, 1044, 513, 10927, 2875, 538, 2296, 269, 630, 2467, 729, 1100, 2446, 540, 713, 4081, 3693, 693, 519, 2773, 4700, 634, 2034, 4528, 630, 4198, 274, 264, 8120, 1864, 547, 11062, 267, 1141, 646, 8910, 1044, 513, 12370, 15938, 1152, 513, 1906, 1296, 5892, 269, 1703, 267, 2818, 540, 519, 7313, 564, 779, 26308, 538, 11062, 3238, 1010, 9750, 28422, 24809, 282, 10986, 3238, 538, 1585, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25565, 1261, 531, 619, 543, 661, 671, 619, 607, 22895, 832, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 7087, 10076, 2657, 1299, 23046, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 892, 5946, 267, 10408, 3334, 602, 948, 2371, 543, 17973, 7556, 1769, 689, 519, 3141, 267, 513, 2319, 540, 3744, 814, 16686, 2390, 519, 1101, 1007, 2186, 538, 5176, 476, 2004, 1296, 1765, 520, 519, 5377, 540, 519, 7256, 540, 22191, 324, 269, 634, 6397, 6602, 1223, 948, 3173, 1732, 1174, 875, 17973, 2631, 1769, 267, 543, 621, 1223, 1379, 1007, 5686, 540, 1769, 2861, 1382, 543, 1239, 4859, 2553, 269, 6624, 7103, 946, 1769, 25259, 5946, 547, 5531, 519, 3141, 779, 1648, 543, 948, 873, 7639, 269, 2368, 946, 28060, 547, 6460, 7943, 1282, 15591, 543, 1866, 946, 11002, 617, 3591, 1231, 267, 5946, 602, 12622, 547, 513, 1106, 540, 6171, 589, 1572, 27243, 547, 7001, 1769, 269, 634, 1655, 1634, 11002, 617, 3591, 514, 568, 11251, 538, 519, 11425, 2281, 540, 938, 4064, 267, 1141, 621, 2337, 721, 1294, 538, 519, 4158, 269, 1809, 1776, 1106, 540, 11002, 617, 3591, 514, 2337, 1507, 7103, 267, 971, 607, 13479, 543, 4551, 267, 10110, 1769, 547, 1118, 3114, 1648, 269, 12867, 941, 10478, 585, 519, 2034, 1826, 540, 11002, 617, 3591, 514, 950, 789, 6394, 5027, 5439, 689, 519, 7256, 540, 22191, 324, 538, 5840, 269, 1358, 8120, 547, 741, 2978, 543, 29971, 519, 5027, 585, 6090, 602, 27573, 585, 519, 1769, 3146, 716, 532, 5946, 269, 1879, 789, 3773, 27243, 547, 18521, 615, 747, 807, 19546, 4551, 16475, 519, 5027, 267, 621, 5828, 13711, 12544, 1129, 602, 11002, 617, 3591, 1231, 1522, 581, 1459, 630, 629, 913, 1040, 1879, 789, 7318, 519, 5027, 2417, 267, 789, 4362, 513, 4625, 1007, 1769, 3887, 908, 3940, 267, 513, 1826, 540, 11002, 617, 3591, 514, 789, 3957, 927, 1640, 327, 617, 3591, 514, 267, 519, 2319, 4080, 2063, 3923, 538, 7186, 2529, 793, 909, 585, 938, 3232, 20394, 7476, 811, 1390, 1543, 899, 713, 9447, 1318, 547, 596, 256, 15575, 787, 2608, 17682, 12174, 6017, 288, 1633, 11866, 2704, 3316, 807, 2704, 3455, 807, 4517, 528, 571, 17951, 7637, 17951, 340, 8759, 12901, 541, 18377, 12901, 580, 7699, 543, 15016, 19085, 6635, 7217, 2088, 30265, 29646, 288, 745, 9346, 288, 20624, 288, 755, 6319, 288, 345, 27930, 13568, 289, 1695, 24252, 289, 1695, 1778, 289, 836, 14994, 289, 16808, 15606, 14582, 22654, 14582, 17753, 14582, 1125, 13051, 514, 289, 1069, 19085, 289, 327, 27175, 289, 565, 14746, 267, 1773, 584, 24676, 3557, 540, 289, 7431, 790, 267, 590, 842, 661, 755, 520, 3780, 543, 17939, 320, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 289, 1824, 32272, 289, 537, 23439, 6816, 24154, 7588, 23873, 4095, 7909, 24540, 27778, 2317, 328, 11023, 1380, 15401, 31624, 29333, 289, 24642, 2088, 674, 553, 334, 289, 584, 1495, 328, 290, 3711, 17377, 290, 15330, 3019, 28657, 290, 1901, 7638, 1372, 290, 599, 2006, 11866, 23338, 3979, 6243, 2419, 611, 2419, 850, 19770, 13731, 5733, 6816, 290, 665, 657, 630, 11390, 9934, 264, 11866, 8624, 4861, 807, 4467, 528, 657, 17812, 334, 17812, 334, 267, 634, 14891, 6243, 540, 519, 290, 809, 11866, 21798, 320, 28573, 290, 1774, 667, 685, 296, 17383, 790, 290, 9130, 807, 290, 18866, 290, 3120, 9809, 7776, 24426, 28464, 290, 14864, 6243, 291, 523, 5658, 291, 329, 756, 719, 328, 291, 7631, 3821, 291, 7631, 4618, 6243, 31319, 26411, 292, 5118, 14976, 30571, 13420, 31247, 19892, 292, 761, 16699, 15307, 8205, 20685, 11340, 807, 293, 1779, 1633, 11866, 630, 22416, 9109, 553, 264, 293, 541, 4141, 11866, 293, 25702, 19226, 1633, 293, 8896, 23210, 2871, 10005, 23210, 2717, 29498, 807, 23210, 8828, 17197, 1559, 294, 629, 517, 294, 25995, 10481, 3073, 807, 30051, 294, 327, 3570, 294, 756, 1537, 30198, 294, 872, 576, 16675, 1633, 294, 1066, 3385, 10817, 12818, 537, 701, 294, 10663, 7356, 320, 10817, 1716, 8124, 294, 9334, 320, 294, 9334, 320, 5174, 1170, 879, 294, 8500, 3570, 295, 7159, 328, 3891, 731, 6816, 543, 5062, 323, 10735, 11866, 295, 8432, 6423, 630, 309, 26896, 4975, 3557, 264, 295, 1180, 32136, 295, 784, 15158, 295, 2426, 776, 296, 576, 1633, 19328, 5715, 2158, 807, 296, 3757, 267, 9099, 6243, 540, 296, 12036, 296, 516, 1633, 3674, 548, 540, 2494, 29994, 2005, 3315, 297, 4821, 3821, 297, 3253, 297, 518, 8124, 297, 14493, 298, 1794, 12112, 16330, 298, 523, 5984, 298, 597, 756, 10620, 298, 648, 320, 267, 14891, 4658, 779, 6243, 540, 298, 648, 320, 267, 6243, 540, 298, 17703, 7159, 298, 10455, 4445, 345, 16330, 299, 7776, 4658, 779, 14891, 6243, 23272, 16129, 8867, 3316, 517, 299, 525, 1054, 334, 299, 756, 4997, 299, 756, 12505, 6259, 11918, 1695, 21105, 5984, 299, 773, 577, 1084, 7322, 299, 603, 10224, 807, 299, 5060, 10603, 32490, 21547, 7776, 300, 3166, 8205, 267, 634, 4813, 518, 31735, 6243, 540, 32743, 27377, 22416, 25596, 22416, 904, 807, 300, 12245, 1161, 300, 8932, 22416, 3279, 32354, 1664, 300, 4768, 11939, 807, 300, 4768, 527, 3780, 9802, 582, 974, 300, 1410, 4815, 300, 1245, 13960, 267, 6243, 540, 12507, 23147, 300, 784, 16288, 12507, 1084, 1122, 549, 12507, 1206, 518, 7806, 29409, 665, 1723, 300, 9926, 3711, 1664, 7069, 25130, 301, 600, 28992, 301, 4768, 340, 301, 788, 531, 301, 5930, 4133, 6124, 2836, 539, 8205, 6124, 10215, 301, 545, 31804, 7699, 301, 9528, 301, 12342, 301, 328, 826, 301, 528, 27714, 6816, 301, 528, 3118, 302, 2006, 303, 8140, 21595, 652, 15687, 32292, 4821, 303, 777, 7699, 1715, 19892, 13640, 16331, 599, 8110, 340, 24589, 2089, 1149, 303, 527, 322, 1515, 333, 21691, 663, 21545, 1872, 531, 304, 20345, 3725, 684, 542, 31718, 807, 305, 11701, 18966, 305, 310, 13263, 3008, 5593, 4446, 628, 2946, 548, 3240, 12142, 4477, 6511, 267, 1306, 322, 3290, 543, 570, 2077, 534, 13005, 595, 684, 3873, 306, 5593, 14173, 1206, 543, 3026, 6665, 306, 5593, 12359, 807, 306, 5593, 9410, 630, 23210, 851, 264, 306, 5593, 24839, 543, 631, 1172, 601, 517, 306, 5593, 27673, 543, 519, 717, 1066, 611, 1149, 21579, 10394, 26596, 3057, 3626, 306, 7776, 570, 727, 543, 11010, 10360, 306, 16728, 17936, 25938, 20235, 306, 8538, 807, 5353, 26338, 3559, 956, 306, 20346, 2274, 821, 306, 532, 12940, 306, 842, 8575, 6914, 630, 291, 8553, 851, 264, 20228, 990, 25474, 20228, 8576, 807, 22069, 14137, 11866, 306, 10095, 807, 21026, 4000, 21026, 11908, 543, 519, 3162, 9995, 16049, 11866, 21026, 20528, 8967, 664, 306, 686, 20092, 306, 644, 534, 20776, 514, 877, 306, 1998, 321, 731, 543, 3967, 2904, 523, 18933, 1794, 559, 663, 306, 14954, 523, 18933, 15909, 306, 344, 6929, 6259, 6243, 307, 2967, 9774, 307, 1690, 1731, 6017, 307, 11961, 16492, 267, 2136, 6243, 540, 1320, 16233, 20755, 528, 6441, 652, 324, 307, 690, 11561, 758, 601, 879, 307, 784, 320, 307, 12541, 21059, 543, 18578, 6210, 307, 684, 529, 807, 307, 584, 4486, 307, 24642, 5443, 6017, 307, 584, 802, 543, 6970, 545, 657, 11866, 307, 340, 1998, 340, 308, 326, 7701, 308, 330, 9627, 18197, 6259, 2506, 29521, 18197, 8003, 18197, 2276, 308, 2607, 340, 599, 308, 345, 31990, 6017, 309, 534, 340, 520, 340, 309, 20318, 21731, 267, 12157, 643, 4115, 6243, 540, 309, 28126, 309, 597, 6265, 11866, 267, 3703, 310, 718, 529, 543, 28358, 10044, 310, 3480, 19300, 4673, 312, 18779, 313, 25995, 313, 23000, 296, 849, 6999, 547, 4309, 15737, 689, 21191, 3008, 13478, 7220, 543, 3163, 6994, 23924, 267, 1519, 1344, 593, 2472, 267, 2533, 543, 2027, 3091, 799, 949, 1331, 855, 616, 711, 3908, 547, 3377, 267, 11678, 1344, 1299, 14232, 2621, 10611, 3225, 1600, 4610, 616, 3769, 676, 606, 14531, 7416, 28949, 264, 14722, 1810, 1406, 917, 1454, 827, 875, 927, 1640, 327, 617, 3591, 514, 1568, 269, 4706, 5027, 568, 2147, 547, 519, 11002, 617, 3591, 514, 602, 5932, 3114, 1648, 269, 1809, 1317, 621, 3217, 865, 1279, 547, 9096, 922, 1769, 8410, 11437, 4783, 267, 519, 3173, 14353, 602, 1765, 13678, 1791, 547, 519, 11002, 617, 3591, 514, 538, 938, 4064, 22924, 568, 513, 1769, 1606, 14819, 3940, 269, 1548, 789, 917, 585, 2386, 281, 634, 1007, 3940, 4667, 547, 581, 10876, 267, 538, 4551, 267, 13479, 267, 9125, 320, 267, 543, 1256, 8290, 538, 519, 3037, 543, 538, 1169, 2101, 1560, 540, 1216, 593, 3047, 269, 901, 1007, 3940, 1920, 568, 1256, 1336, 538, 4551, 543, 824, 14471, 602, 941, 2760, 1634, 547, 2631, 1769, 2394, 1631, 7868, 1769, 1606, 14819, 3940, 1223, 1291, 547, 3156, 538, 3388, 689, 1239, 4859, 547, 1904, 4094, 7497, 267, 799, 2636, 3744, 547, 13861, 16220, 9168, 8229, 2281, 609, 1769, 269, 1809, 1101, 267, 3744, 1590, 2626, 1082, 2055, 827, 519, 3940, 779, 17950, 563, 295, 3201, 9281, 288, 311, 1107, 3979, 25429, 8857, 2103, 543, 824, 12102, 2950, 786, 723, 3403, 607, 519, 11662, 28889, 1564, 3506, 7245, 896, 27789, 15024, 267, 519, 2069, 14012, 3081, 269, 313, 778, 26235, 1767, 646, 6499, 2407, 2146, 9525, 538, 519, 5542, 1184, 585, 519, 1007, 2069, 28007, 14643, 602, 568, 547, 5372, 519, 11662, 779, 5722, 2296, 25082, 6237, 1153, 12545, 31422, 296, 1616, 602, 547, 4755, 2223, 26235, 1767, 269, 968, 2171, 1616, 713, 547, 581, 513, 4023, 1184, 1141, 649, 1205, 1434, 1004, 945, 666, 3565, 547, 1434, 4093, 585, 3214, 538, 938, 11662, 1848, 14737, 528, 640, 2516, 723, 21350, 5367, 4145, 827, 9561, 741, 11221, 13222, 998, 9086, 5189, 13628, 602, 786, 9004, 519, 1153, 12545, 676, 4728, 476, 4029, 269, 6635, 16408, 2142, 1023, 267, 519, 3979, 25429, 8857, 1014, 11347, 593, 519, 16199, 604, 1314, 13636, 3427, 8274, 267, 1767, 11016, 1010, 2146, 568, 7255, 827, 9561, 922, 5639, 547, 513, 1804, 17531, 29386, 1560, 31422, 2171, 991, 547, 723, 513, 2178, 5639, 693, 519, 3349, 543, 649, 991, 547, 723, 513, 1875, 12268, 16388, 5639, 543, 513, 12001, 5639, 865, 602, 649, 616, 711, 1175, 12285, 3613, 2086, 532, 1018, 6608, 2307, 2223, 1767, 2142, 1023, 269, 6826, 1023, 3081, 972, 616, 4145, 827, 945, 786, 581, 12912, 547, 519, 476, 1428, 2173, 1897, 14643, 269, 3891, 1767, 519, 2818, 540, 519, 3979, 25429, 8857, 1014, 1153, 4604, 524, 14072, 639, 723, 2854, 547, 26235, 855, 723, 4607, 1100, 3210, 269, 1261, 1767, 789, 4076, 849, 11643, 519, 4408, 540, 2185, 1004, 547, 1694, 593, 513, 5912, 2319, 602, 786, 1352, 23311, 538, 519, 5137, 540, 519, 1007, 28007, 14643, 267, 855, 723, 711, 4862, 1394, 31422, 763, 1966, 609, 602, 568, 267, 596, 616, 1688, 1790, 10107, 1004, 2223, 1767, 2142, 1023, 269, 968, 8489, 779, 519, 11413, 538, 602, 286, 7316, 779, 519, 1875, 12268, 16388, 4062, 538, 602, 9495, 6826, 1023, 1767, 646, 11099, 513, 1062, 540, 2146, 9930, 5209, 1223, 581, 513, 851, 540, 519, 1689, 1184, 269, 4913, 267, 646, 849, 29846, 519, 1153, 12545, 607, 789, 616, 4867, 27648, 267, 6031, 12102, 6041, 593, 519, 16199, 604, 1314, 4604, 814, 5249, 547, 1118, 8101, 2242, 269, 1261, 11329, 547, 5359, 593, 519, 13685, 540, 10168, 543, 7130, 896, 519, 4604, 779, 513, 22273, 1182, 267, 543, 960, 593, 15520, 4143, 3450, 2409, 31422, 26364, 5896, 972, 616, 930, 1919, 602, 649, 991, 547, 1689, 543, 960, 593, 267, 855, 18530, 519, 4816, 856, 609, 519, 8602, 4248, 568, 711, 519, 3070, 1848, 2419, 3420, 650, 1767, 972, 1131, 581, 12102, 3403, 607, 851, 540, 519, 5912, 2319, 602, 786, 18973, 1010, 8257, 593, 519, 2474, 540, 4704, 543, 5542, 1184, 585, 519, 28007, 14643, 16638, 1840, 547, 12102, 16295, 593, 519, 14643, 267, 1079, 1007, 10324, 8689, 7158, 8204, 519, 3979, 25429, 8857, 1014, 543, 21007, 685, 330, 2742, 336, 2950, 786, 849, 581, 2813, 693, 519, 4065, 4972, 607, 851, 540, 27789, 15024, 1759, 593, 513, 2487, 1867, 676, 2069, 22639, 2997, 529, 3794, 10270, 269, 0, 14532, 4828, 630, 288, 5426, 264, 19400, 454, 763, 2243, 3177, 513, 3948, 602, 596, 1590, 2232, 543, 1683, 606, 4661, 585, 543, 1996, 281, 645, 7473, 10691, 590, 3951, 16249, 10396, 5990, 674, 9970, 267, 9358, 15562, 5495, 17162, 25723, 20846, 22400, 11536, 6347, 312, 630, 3583, 270, 1789, 27870, 513, 1880, 27790, 994, 7312, 4367, 1058, 581, 1945, 2059, 519, 3515, 540, 1412, 763, 2070, 602, 2334, 7815, 781, 3609, 2509, 2342, 1705, 811, 3441, 982, 2087, 6628, 781, 4690, 568, 9112, 676, 30228, 2807, 630, 3369, 7241, 707, 1079, 9433, 786, 2232, 1040, 901, 2070, 568, 513, 7361, 630, 24014, 30032, 24014, 268, 4470, 593, 707, 27790, 264, 4879, 540, 2334, 7815, 781, 3609, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4657, 519, 1426, 649, 3548, 883, 1648, 585, 938, 4703, 269, 1924, 676, 1519, 19146, 15606, 538, 707, 4006, 6954, 28916, 267, 596, 3513, 2285, 3054, 606, 3063, 16802, 540, 1648, 547, 2972, 707, 1521, 543, 10994, 8726, 2501, 1985, 538, 707, 1554, 780, 1103, 3932, 267, 6220, 19146, 15606, 883, 707, 5986, 27132, 814, 1082, 5383, 269, 3245, 5355, 2295, 1072, 547, 5885, 1732, 12536, 267, 891, 9589, 5613, 798, 13300, 585, 938, 8171, 1247, 3246, 11995, 3255, 585, 3860, 4006, 6954, 28916, 269, 12315, 930, 25636, 2861, 10346, 513, 2119, 267, 543, 4166, 2614, 267, 596, 3513, 581, 11981, 5023, 22476, 26265, 1510, 18731, 707, 7029, 547, 513, 8902, 6197, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 9214, 323, 1043, 2657, 11588, 540, 2997, 665, 5964, 454, 13510, 665, 15606, 723, 1831, 513, 11537, 543, 7678, 344, 4829, 267, 543, 621, 779, 711, 1175, 1317, 789, 2461, 8949, 282, 789, 849, 2709, 513, 2647, 2039, 540, 6909, 1072, 2640, 269, 13268, 539, 609, 1434, 16519, 3917, 537, 5567, 267, 19146, 15606, 616, 513, 11684, 1840, 547, 1022, 2732, 563, 8253, 547, 2446, 267, 789, 2461, 11212, 17749, 2914, 20564, 256, 6762, 538, 2295, 268, 11794, 1395, 10494, 18260, 9600, 267, 19146, 15606, 666, 948, 2539, 3983, 8501, 2157, 543, 2569, 519, 1981, 540, 2295, 2068, 269, 1358, 616, 849, 513, 1390, 2707, 540, 6775, 267, 5009, 2635, 12536, 543, 4227, 519, 1981, 540, 19228, 563, 2252, 596, 2461, 3168, 585, 606, 1648, 5818, 267, 19146, 15606, 616, 606, 5140, 3903, 607, 789, 616, 14095, 609, 645, 8324, 267, 799, 1404, 513, 1883, 1909, 538, 14291, 1426, 883, 4492, 269, 1809, 602, 779, 711, 782, 1107, 19146, 15606, 616, 849, 16041, 609, 14434, 602, 948, 2569, 6553, 538, 519, 1560, 267, 7863, 1996, 5312, 3676, 899, 3987, 267, 12263, 267, 543, 1978, 2010, 540, 2860, 563, 31936, 267, 789, 2270, 1898, 6886, 899, 11379, 267, 799, 2337, 2226, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 17143, 338, 1510, 1520, 4765, 590, 1872, 1513, 257, 607, 851, 540, 834, 23733, 1315, 2657, 1299, 23046, 1315, 4144, 12185, 1299, 17491, 6363, 872, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 27706, 31538, 338, 910, 32027, 593, 3778, 781, 9452, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 1018, 2576, 1281, 1175, 676, 3168, 693, 741, 9660, 286, 1411, 1522, 5431, 707, 4116, 781, 28459, 610, 707, 3237, 262, 960, 26977, 267, 855, 972, 616, 1082, 824, 2010, 540, 17163, 7802, 856, 972, 256, 3414, 1686, 267, 1114, 6009, 723, 2838, 1808, 23157, 547, 2149, 4600, 267, 948, 873, 798, 741, 4247, 7561, 267, 543, 1256, 13686, 741, 1909, 1369, 513, 2146, 269, 1924, 1577, 781, 7832, 593, 513, 3460, 998, 942, 543, 1451, 827, 1585, 22825, 1247, 3695, 930, 4241, 26977, 2439, 4089, 2290, 281, 589, 3212, 2131, 883, 2622, 2782, 4083, 609, 7780, 1006, 1849, 582, 1127, 692, 7628, 2622, 2782, 4083, 267, 6082, 5185, 22520, 540, 2326, 1813, 547, 32311, 532, 267, 799, 5921, 12145, 2200, 865, 602, 3025, 1131, 1205, 513, 4023, 2671, 269, 901, 4299, 3388, 267, 1519, 5958, 2504, 269, 22749, 5189, 10626, 7802, 1107, 2241, 2943, 4052, 30933, 2966, 1210, 8766, 1570, 547, 804, 6139, 4961, 2429, 519, 2112, 1296, 269, 4634, 1498, 891, 14201, 1405, 4010, 834, 21232, 1049, 26977, 2437, 789, 1869, 5129, 513, 1713, 1909, 538, 3232, 1272, 543, 3090, 1242, 9322, 1851, 21127, 780, 7078, 281, 13937, 631, 3696, 454, 294, 553, 13968, 941, 1898, 8825, 10591, 1282, 2011, 986, 1749, 269, 5272, 1268, 4607, 835, 1500, 540, 12285, 609, 513, 6882, 666, 3563, 7923, 269, 4014, 711, 6752, 762, 267, 922, 1374, 5280, 4688, 2729, 950, 20715, 9362, 4904, 519, 22839, 269, 5994, 9849, 1945, 2147, 2221, 952, 938, 4872, 10393, 2877, 4027, 1996, 5739, 6878, 2439, 12244, 281, 5071, 2659, 13574, 22387, 1155, 7780, 1006, 4934, 7257, 454, 8794, 1957, 2759, 8083, 610, 5373, 7727, 267, 1711, 707, 1378, 20538, 4528, 540, 513, 29053, 10626, 28459, 269, 6056, 827, 6220, 2609, 971, 607, 16134, 267, 15006, 267, 543, 10342, 269, 9523, 707, 5137, 609, 2828, 543, 1865, 1946, 1978, 2934, 941, 2556, 1282, 4101, 2053, 899, 1346, 4810, 1282, 2622, 2782, 4083, 780, 14945, 2026, 649, 3136, 938, 3408, 540, 17163, 26977, 267, 3314, 602, 1142, 4062, 540, 7802, 814, 513, 1650, 3297, 621, 269, 6787, 621, 781, 7863, 2043, 689, 2800, 267, 3850, 873, 547, 1685, 11645, 3927, 267, 610, 8220, 2950, 1927, 267, 1169, 1469, 6927, 269, 13773, 22934, 607, 649, 4685, 4514, 883, 3140, 26977, 543, 10625, 741, 6456, 11580, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 558, 2125, 12628, 538, 519, 20758, 540, 281, 853, 918, 15811, 781, 543, 654, 6260, 454, 13707, 1297, 540, 23038, 12628, 689, 476, 278, 628, 5239, 476, 3707, 271, 547, 476, 277, 628, 4873, 476, 3707, 272, 538, 853, 918, 15811, 781, 543, 654, 6260, 912, 268, 4400, 4112, 657, 633, 25512, 454, 10831, 540, 23038, 12628, 1282, 519, 3018, 540, 476, 278, 628, 5239, 476, 3707, 271, 547, 476, 1691, 628, 540, 5239, 912, 10831, 540, 23038, 12628, 1282, 519, 1101, 476, 2190, 327, 540, 519, 2349, 6308, 912, 300, 655, 1559, 538, 853, 918, 15811, 781, 543, 654, 6260, 454, 5649, 1004, 781, 2984, 11341, 547, 713, 1858, 912, 6944, 30744, 8385, 676, 15196, 293, 541, 2251, 630, 289, 6195, 13431, 273, 4658, 781, 2782, 994, 296, 4769, 1406, 899, 547, 16153, 621, 267, 1317, 3025, 729, 6031, 875, 15265, 621, 729, 267, 855, 782, 519, 979, 902, 593, 941, 811, 3078, 982, 594, 8910, 2479, 16545, 269, 18421, 729, 4657, 269, 2368, 2367, 3357, 2059, 543, 2759, 1524, 782, 519, 4401, 7841, 902, 538, 4395, 540, 519, 8075, 538, 6226, 2421, 10003, 630, 1729, 1118, 13688, 789, 1767, 5148, 15196, 1085, 8083, 6394, 2025, 26459, 14036, 335, 753, 630, 1729, 1118, 1975, 527, 18394, 5148, 26682, 3357, 543, 25653, 5458, 9475, 538, 519, 5871, 1318, 1141, 649, 1031, 547, 1404, 11176, 630, 1729, 1118, 5070, 321, 4711, 5148, 15526, 729, 2016, 513, 3154, 9633, 630, 6518, 594, 554, 730, 264, 602, 1185, 547, 581, 5645, 16382, 596, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30999, 1575, 1049, 31538, 338, 257, 607, 851, 540, 834, 16300, 13493, 1315, 1849, 5847, 1299, 667, 816, 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, 4197, 3733, 18201, 658, 5606, 541, 2388, 630, 29587, 5900, 2931, 2020, 5970, 596, 2479, 4862, 2576, 2911, 827, 2348, 513, 2295, 4323, 286, 898, 4992, 7168, 17559, 267, 1318, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 1451, 782, 827, 1018, 4010, 4523, 1282, 513, 2295, 4323, 543, 875, 649, 666, 1832, 938, 12271, 2635, 2439, 5978, 2295, 568, 513, 4887, 602, 1568, 2182, 1169, 1554, 547, 6802, 1973, 2429, 938, 1560, 269, 901, 1973, 11438, 5135, 543, 5567, 547, 782, 540, 938, 2281, 865, 789, 666, 1599, 5265, 269, 1809, 3006, 267, 1919, 666, 979, 4636, 609, 713, 1184, 269, 2290, 3364, 602, 1522, 4755, 568, 1572, 513, 26961, 658, 1102, 541, 794, 267, 610, 811, 3274, 2322, 267, 513, 2295, 4323, 780, 288, 2295, 4323, 4386, 950, 972, 3884, 1405, 2614, 1973, 13576, 547, 513, 851, 540, 707, 2295, 269, 1411, 1294, 267, 1175, 899, 1022, 824, 4887, 267, 707, 2295, 2115, 922, 1378, 3761, 540, 5135, 11656, 1973, 547, 960, 1134, 269, 1879, 519, 2095, 540, 1973, 568, 17808, 267, 2356, 676, 513, 19221, 540, 9761, 12074, 1572, 15799, 3330, 835, 610, 811, 540, 519, 18337, 16209, 267, 519, 2295, 4887, 3587, 5182, 1386, 585, 5135, 543, 5567, 269, 1403, 519, 31797, 5170, 1279, 2614, 267, 1287, 602, 851, 540, 519, 2295, 6238, 547, 5884, 1813, 547, 3668, 540, 5135, 269, 2334, 781, 1018, 649, 1289, 513, 2295, 4323, 780, 3086, 4952, 952, 596, 941, 4730, 13558, 543, 10393, 7948, 1405, 13236, 1317, 1945, 729, 17527, 707, 28296, 910, 2147, 3364, 4523, 547, 707, 2295, 1282, 513, 2295, 4323, 256, 1284, 991, 547, 957, 3728, 547, 4894, 8726, 568, 4929, 519, 31797, 543, 11177, 3339, 1973, 2095, 1354, 1932, 1454, 3441, 568, 2944, 780, 2467, 616, 1896, 4191, 602, 1223, 5815, 513, 1268, 568, 7680, 513, 2295, 4323, 1519, 9221, 1928, 610, 9636, 282, 26032, 540, 7362, 282, 8840, 856, 538, 513, 4411, 17570, 282, 15353, 610, 1769, 20243, 1145, 269, 1717, 267, 891, 2589, 666, 4268, 1063, 2367, 543, 2021, 543, 1256, 1851, 2043, 269, 2368, 1004, 949, 1995, 4049, 1928, 1247, 1866, 1522, 1152, 5469, 7646, 9636, 1107, 3025, 781, 1560, 23465, 8335, 269, 1924, 267, 621, 781, 1271, 547, 2628, 3007, 547, 4888, 312, 8966, 2589, 543, 3343, 7525, 2564, 948, 952, 596, 14353, 513, 2295, 4323, 780, 299, 3089, 1176, 267, 972, 616, 1082, 2081, 547, 2569, 519, 1981, 540, 3478, 513, 2295, 4323, 269, 14856, 513, 7059, 2732, 2407, 540, 5613, 267, 5388, 267, 10709, 5946, 267, 543, 2898, 9274, 666, 948, 2226, 513, 2635, 2597, 543, 2539, 8501, 2157, 269, 8617, 2168, 2534, 18791, 519, 2295, 4887, 543, 8952, 1973, 8043, 8465, 543, 2312, 269, 3502, 7296, 543, 12145, 4568, 4616, 849, 3565, 3648, 547, 4509, 1434, 9025, 1072, 780, 8855, 267, 2921, 1416, 540, 707, 2295, 3085, 1405, 723, 547, 1745, 899, 513, 25287, 269, 4855, 2238, 596, 2972, 3257, 543, 6451, 873, 883, 707, 3232, 6296, 269, 5269, 1507, 2242, 547, 707, 4189, 6208, 936, 942, 3079, 540, 3843, 547, 936, 3873, 592, 3388, 693, 2899, 269, 1656, 1034, 11932, 267, 6432, 547, 707, 1560, 543, 1810, 1405, 11716, 9963, 4191, 269, 1635, 12561, 891, 6197, 5079, 2038, 593, 267, 596, 1305, 3054, 909, 585, 513, 10715, 540, 1434, 1072, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28959, 1401, 9151, 542, 28959, 519, 568, 835, 540, 519, 1657, 2360, 267, 799, 2709, 538, 1871, 689, 3875, 3968, 4162, 547, 581, 1200, 3429, 547, 2864, 2564, 1646, 269, 14333, 853, 6593, 28959, 2359, 5540, 6884, 6353, 607, 15214, 750, 8926, 621, 568, 606, 1808, 3593, 799, 568, 950, 519, 5168, 568, 610, 568, 811, 4986, 602, 621, 666, 1577, 269, 24581, 19045, 7313, 2581, 532, 3891, 8283, 10342, 19505, 568, 8781, 998, 29268, 540, 3461, 5049, 2695, 13904, 607, 1455, 18748, 566, 1362, 13755, 652, 324, 996, 607, 513, 329, 1314, 267, 22750, 543, 683, 341, 639, 269, 1452, 3275, 2097, 513, 519, 11585, 540, 5647, 540, 4719, 14662, 4696, 263, 589, 9218, 540, 11061, 269, 769, 930, 3676, 540, 519, 267, 7054, 10915, 17014, 959, 747, 14137, 15633, 967, 324, 806, 949, 711, 1521, 930, 540, 519, 12963, 4551, 602, 2589, 798, 267, 693, 2547, 930, 540, 519, 11555, 289, 21822, 12778, 269, 1280, 6794, 267, 538, 930, 4551, 267, 519, 22787, 5955, 13279, 786, 2901, 2061, 561, 528, 1282, 513, 1419, 13572, 840, 305, 2658, 8698, 540, 519, 2245, 269, 2368, 519, 11585, 540, 2477, 949, 25864, 581, 13429, 2068, 585, 28338, 945, 1201, 1393, 547, 10646, 1369, 519, 3993, 269, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7069, 18201, 658, 5606, 541, 794, 630, 29587, 31105, 17983, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 899, 535, 325, 332, 701, 326, 269, 13518, 540, 535, 325, 332, 701, 326, 1281, 2408, 547, 946, 27311, 10378, 9399, 292, 543, 590, 8379, 291, 11638, 5336, 4215, 6987, 5014, 630, 12613, 311, 264, 547, 519, 3490, 6044, 1305, 269, 1411, 666, 798, 713, 666, 676, 1603, 10198, 3009, 543, 2901, 16046, 621, 538, 610, 1210, 538, 1467, 10198, 22964, 5733, 267, 607, 596, 4718, 538, 519, 886, 7272, 1460, 1564, 318, 7825, 343, 1599, 563, 21446, 8271, 267, 596, 1223, 946, 519, 27311, 10378, 21091, 13437, 10021, 14476, 630, 4504, 601, 10378, 7379, 303, 264, 910, 513, 8142, 539, 5399, 540, 3252, 2966, 585, 19180, 3156, 602, 568, 1134, 13006, 538, 519, 27311, 10378, 7379, 303, 12319, 543, 513, 1390, 4199, 616, 519, 3009, 5439, 1336, 538, 834, 4504, 601, 10378, 7379, 303, 12726, 8943, 2668, 634, 27311, 10378, 7379, 303, 543, 946, 540, 29085, 1463, 1161, 786, 948, 30140, 609, 3009, 899, 535, 325, 332, 701, 326, 799, 666, 4324, 689, 27311, 10378, 9399, 292, 543, 20979, 2215, 14476, 602, 666, 581, 1031, 585, 3009, 602, 568, 1239, 4393, 14021, 563, 23087, 21581, 17683, 568, 2565, 585, 1543, 6765, 1256, 609, 17254, 629, 527, 5121, 267, 1985, 22831, 12616, 267, 543, 29577, 547, 519, 1753, 269, 634, 991, 585, 17683, 593, 519, 8038, 538, 1483, 942, 568, 3395, 1759, 593, 811, 593, 24683, 663, 2923, 2533, 267, 543, 519, 16267, 2200, 2838, 568, 2810, 1759, 593, 1164, 19229, 2557, 267, 1164, 22822, 1543, 1373, 22434, 543, 1792, 3139, 811, 4749, 547, 513, 3376, 2039, 540, 18376, 267, 5985, 267, 543, 9913, 3457, 269, 4653, 781, 3059, 2923, 2504, 267, 6765, 267, 543, 4616, 2154, 1713, 7384, 2200, 267, 543, 9367, 991, 547, 917, 875, 547, 11126, 17683, 270, 20657, 5317, 3301, 269, 4635, 27311, 10378, 966, 307, 2317, 12814, 13437, 13088, 267, 1510, 3573, 2866, 610, 27992, 1995, 267, 649, 941, 2111, 547, 3533, 16590, 1524, 883, 513, 3905, 1606, 13607, 538, 519, 1930, 2707, 535, 325, 332, 701, 326, 3301, 547, 1174, 1141, 1034, 540, 12985, 6988, 29084, 538, 18642, 3252, 1031, 585, 17683, 269, 9453, 2645, 899, 27311, 10378, 966, 307, 2317, 12814, 13437, 8890, 10045, 267, 621, 781, 1419, 2352, 585, 23501, 547, 723, 513, 1434, 1745, 585, 519, 3448, 1942, 540, 1808, 1239, 7004, 4238, 3238, 538, 17683, 543, 1141, 1034, 540, 519, 942, 568, 1373, 6170, 269, 1411, 1590, 1101, 917, 1141, 519, 2042, 616, 1354, 12394, 547, 4194, 873, 267, 543, 596, 991, 547, 723, 513, 1907, 602, 2636, 1246, 5346, 6482, 1310, 3009, 14842, 547, 13182, 602, 3009, 1964, 31382, 729, 5363, 269, 1452, 2645, 543, 2409, 616, 5963, 17170, 547, 1346, 3238, 538, 3059, 2923, 563, 10666, 519, 8191, 454, 7804, 269, 6341, 590, 1171, 1068, 568, 519, 8783, 2029, 11464, 630, 6311, 302, 264, 540, 2311, 337, 6737, 267, 5549, 269, 543, 814, 5249, 607, 513, 1949, 543, 3301, 4056, 538, 519, 23825, 267, 26313, 267, 3059, 10814, 267, 543, 4859, 6080, 269, 1261, 849, 11414, 607, 606, 1520, 31019, 7905, 693, 519, 2160, 540, 12548, 693, 645, 30629, 538, 519, 2506, 5523, 4765, 7010, 27872, 5358, 267, 799, 646, 1071, 1922, 15903, 538, 476, 1220, 271, 269, 3571, 1382, 4690, 1331, 1164, 26024, 7384, 543, 4859, 1949, 267, 3059, 2923, 267, 543, 11251, 1483, 6066, 1949, 269, 0, 29020, 4211, 568, 606, 1843, 15129, 5752, 1893, 9256, 2934, 540, 595, 543, 9540, 339, 1779, 269, 898, 568, 513, 7453, 25436, 564, 540, 595, 630, 1415, 4570, 595, 3009, 568, 8449, 4570, 20638, 4211, 3009, 1070, 543, 621, 9100, 1080, 922, 1843, 15129, 7207, 689, 9540, 339, 1779, 269, 2353, 27564, 16105, 568, 9838, 547, 602, 540, 595, 267, 543, 782, 1843, 15129, 16105, 568, 606, 6388, 540, 9540, 339, 1779, 20261, 563, 29020, 4211, 568, 513, 2489, 26928, 267, 1164, 7400, 267, 1843, 15129, 5752, 1893, 602, 8591, 9540, 339, 1779, 16654, 20261, 547, 519, 595, 5752, 1893, 269, 898, 568, 519, 1292, 5752, 1893, 1031, 676, 11197, 585, 519, 13013, 2473, 543, 25515, 543, 741, 9757, 29026, 267, 23081, 10394, 543, 23081, 10394, 25291, 563, 29020, 4211, 568, 513, 6094, 4494, 593, 1283, 540, 595, 267, 543, 32047, 568, 513, 7453, 25436, 564, 540, 595, 282, 621, 568, 2009, 547, 29289, 1022, 595, 1982, 609, 606, 20638, 4211, 29085, 267, 543, 547, 11884, 1331, 595, 3009, 1369, 606, 20638, 4211, 1362, 269, 20638, 4211, 24283, 922, 1843, 16105, 689, 9540, 339, 1779, 269, 2353, 540, 519, 16105, 585, 1875, 268, 15953, 15129, 4238, 630, 10175, 18642, 4632, 267, 840, 3491, 22422, 267, 7215, 267, 1599, 3616, 25730, 267, 543, 1599, 7125, 264, 616, 9838, 547, 602, 540, 595, 267, 1247, 519, 16105, 585, 1843, 15129, 2934, 568, 606, 6388, 540, 9540, 339, 1779, 16654, 20261, 563, 268, 14691, 609, 20638, 4211, 454, 268, 16610, 538, 20638, 4211, 14691, 454, 268, 23081, 10394, 15350, 5004, 14691, 6651, 267, 606, 1898, 1224, 267, 2523, 519, 851, 827, 13574, 11429, 8889, 454, 268, 6258, 20638, 4211, 689, 23081, 10394, 8061, 6239, 267, 606, 2606, 5850, 547, 519, 1893, 454, 268, 8629, 14114, 686, 5034, 14691, 609, 20638, 4211, 454, 268, 13431, 17584, 476, 1001, 273, 7044, 593, 7073, 20638, 4211, 543, 20353, 7992, 547, 7073, 20638, 4211, 454, 268, 11628, 15350, 5004, 14691, 6651, 454, 268, 6258, 20638, 4211, 9238, 689, 8943, 18662, 454, 268, 27550, 779, 20638, 4211, 20861, 454, 268, 20638, 4211, 6651, 1280, 3763, 619, 454, 1805, 871, 3683, 6503, 2055, 609, 6402, 547, 2200, 454, 21761, 11540, 2055, 538, 519, 5136, 329, 4211, 11090, 454, 268, 26994, 5288, 1875, 30061, 3601, 454, 268, 1215, 1281, 606, 20838, 538, 4395, 540, 513, 4756, 538, 513, 23342, 6662, 2275, 1362, 960, 888, 268, 15775, 4266, 689, 1496, 10064, 14630, 4266, 316, 1055, 676, 513, 1906, 3108, 454, 268, 20638, 595, 4982, 20884, 540, 23285, 781, 834, 24868, 762, 25159, 4840, 268, 715, 15551, 17014, 26161, 1039, 30606, 711, 2324, 454, 268, 20638, 595, 585, 8837, 454, 268, 20638, 595, 22085, 21803, 265, 3959, 11677, 1293, 9642, 640, 454, 268, 1215, 547, 1039, 2600, 1129, 547, 22085, 21803, 0, 25748, 538, 15588, 7615, 267, 513, 476, 2641, 1032, 6040, 4807, 779, 1272, 729, 10710, 1317, 540, 930, 1360, 2656, 2962, 676, 12391, 1004, 1472, 1200, 269, 634, 4807, 1185, 22536, 2216, 593, 5869, 514, 543, 729, 2348, 4049, 7244, 2042, 269, 1809, 1354, 519, 1612, 3139, 923, 1256, 8452, 693, 519, 6429, 267, 1352, 729, 2016, 1079, 15833, 540, 606, 1884, 573, 1774, 1572, 715, 2117, 534, 269, 634, 1762, 4807, 779, 7244, 759, 25390, 543, 519, 1612, 3139, 923, 1287, 32357, 1200, 547, 4432, 3387, 549, 758, 17341, 11233, 563, 4407, 713, 1880, 1650, 8694, 1134, 267, 538, 865, 1082, 824, 2665, 5473, 5869, 514, 946, 267, 519, 2164, 616, 13249, 269, 15552, 514, 6057, 814, 6603, 15435, 17114, 543, 1419, 267, 519, 8213, 568, 606, 856, 29115, 540, 705, 6748, 13310, 5061, 267, 1928, 6146, 619, 689, 519, 4915, 22277, 563, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 3075, 30072, 2669, 3928, 538, 519, 2136, 2276, 723, 811, 982, 2468, 9482, 2094, 476, 1960, 271, 543, 723, 2760, 1044, 2362, 269, 769, 476, 1220, 279, 267, 811, 982, 476, 3607, 267, 1822, 1004, 5747, 689, 3075, 22536, 4680, 267, 543, 1034, 540, 891, 7972, 941, 3361, 676, 13310, 5061, 269, 1809, 21447, 616, 9875, 547, 1205, 982, 5869, 514, 891, 2395, 269, 20305, 1419, 723, 547, 968, 4777, 2758, 6300, 892, 547, 1265, 835, 8348, 547, 2285, 856, 519, 10788, 13310, 269, 16828, 267, 789, 2285, 909, 543, 2490, 547, 5869, 514, 563, 301, 2117, 534, 568, 513, 4123, 2012, 585, 715, 531, 2135, 821, 267, 513, 7463, 27640, 5328, 3075, 602, 10941, 525, 519, 2360, 540, 824, 27640, 5328, 5061, 899, 5869, 514, 269, 898, 1964, 2803, 7929, 1599, 950, 5869, 514, 16401, 525, 621, 269, 715, 2117, 534, 568, 519, 1034, 3811, 543, 1034, 4122, 1031, 1884, 573, 1774, 585, 513, 5869, 514, 30072, 543, 621, 779, 1031, 676, 6595, 2564, 10986, 782, 519, 942, 547, 759, 19895, 10028, 5869, 514, 3755, 563, 763, 1249, 602, 715, 2117, 534, 779, 946, 814, 1831, 865, 28125, 676, 519, 2489, 1857, 568, 2943, 835, 811, 13525, 540, 875, 3978, 519, 1966, 540, 5869, 514, 30072, 814, 1831, 538, 713, 2197, 269, 2755, 1004, 945, 6057, 5869, 514, 616, 4440, 711, 2542, 513, 5816, 899, 713, 267, 5310, 741, 2828, 543, 14077, 616, 269, 8409, 1004, 991, 547, 1174, 602, 513, 5318, 1297, 540, 5869, 514, 610, 1566, 5573, 22536, 4680, 602, 1267, 538, 2669, 1223, 581, 15286, 952, 1346, 4478, 519, 5869, 514, 3593, 941, 811, 14942, 563, 1432, 4523, 782, 1932, 1419, 568, 602, 950, 2576, 22168, 519, 5869, 514, 3593, 7680, 4049, 7244, 2042, 267, 519, 7198, 1419, 1954, 6545, 856, 267, 3085, 1406, 1616, 547, 1205, 883, 8373, 543, 1175, 3762, 519, 6429, 269, 3509, 540, 1346, 5869, 514, 3755, 1223, 581, 10710, 952, 2576, 1175, 3576, 519, 942, 547, 1289, 476, 280, 268, 272, 268, 272, 610, 3274, 1491, 873, 547, 513, 6413, 563, 2252, 596, 917, 2576, 945, 814, 513, 4049, 8213, 543, 596, 1265, 602, 789, 4076, 22536, 2216, 267, 1491, 519, 942, 547, 3346, 519, 1101, 4431, 619, 269, 11408, 581, 3222, 602, 952, 513, 1268, 568, 711, 17841, 596, 991, 547, 1289, 476, 280, 268, 272, 268, 272, 269, 2368, 7853, 779, 1272, 666, 581, 2879, 4428, 539, 856, 538, 6071, 7643, 543, 540, 339, 550, 1307, 267, 713, 13357, 666, 581, 14284, 269, 12344, 267, 952, 519, 5869, 514, 13982, 568, 10710, 676, 707, 2656, 2962, 267, 646, 610, 1352, 786, 8275, 789, 4076, 5734, 4224, 5377, 269, 9320, 789, 666, 2253, 519, 6051, 1184, 267, 1205, 2476, 689, 713, 14686, 3075, 543, 2490, 741, 1272, 1472, 563, 10666, 30374, 4460, 454, 16920, 528, 2284, 4460, 25024, 568, 513, 7649, 693, 519, 7803, 8878, 1876, 6109, 540, 670, 6269, 1068, 345, 1299, 25024, 267, 590, 5861, 269, 538, 654, 879, 7719, 3873, 269, 2776, 16227, 267, 25024, 6039, 607, 606, 19608, 10588, 30374, 609, 519, 654, 879, 7719, 3873, 6019, 10588, 30374, 781, 5604, 543, 568, 4867, 7674, 607, 513, 18513, 9794, 538, 3345, 16217, 21961, 269, 1261, 6212, 538, 519, 1858, 540, 7803, 8878, 267, 543, 814, 17411, 1082, 2665, 5473, 5665, 513, 5179, 6174, 1247, 883, 343, 5344, 267, 6469, 13882, 267, 543, 3075, 1055, 5151, 563, 303, 10183, 13984, 4406, 1706, 9820, 334, 2160, 3427, 540, 4521, 267, 1141, 646, 4607, 1010, 808, 9766, 16362, 622, 269, 13405, 547, 1876, 1153, 267, 4460, 13984, 519, 2160, 540, 16855, 267, 30086, 4592, 572, 1141, 646, 4607, 1010, 20277, 540, 2257, 538, 11572, 3163, 563, 2690, 811, 1344, 267, 5225, 1289, 476, 26783, 269, 276, 5392, 269, 6795, 278, 280, 610, 3643, 8940, 9884, 879, 7719, 327, 659, 17964, 3430, 528, 7958, 2593, 269, 0, 268, 15618, 281, 11785, 2433, 670, 32080, 631, 858, 4802, 267, 524, 2735, 274, 563, 268, 5729, 15618, 281, 476, 2735, 274, 454, 268, 13517, 281, 476, 13670, 533, 269, 6902, 476, 2420, 4699, 563, 268, 5678, 281, 2296, 454, 268, 14474, 281, 3883, 454, 268, 22858, 850, 281, 476, 278, 3583, 454, 268, 476, 271, 4375, 276, 3451, 279, 3445, 276, 10778, 268, 476, 271, 4510, 271, 5325, 12010, 273, 10778, 268, 13571, 1512, 543, 22082, 1272, 4534, 11470, 563, 268, 12075, 540, 3345, 3013, 4534, 11470, 563, 268, 8187, 15227, 6668, 4534, 11470, 563, 25748, 5903, 539, 2201, 454, 268, 8845, 744, 262, 291, 749, 13815, 585, 8466, 11470, 454, 268, 3367, 620, 10796, 585, 4587, 8695, 630, 663, 6148, 6690, 267, 1932, 994, 268, 8466, 11470, 585, 25004, 27240, 619, 454, 268, 19974, 674, 2948, 2572, 454, 268, 589, 4338, 306, 7335, 5426, 570, 454, 19868, 514, 547, 1039, 16776, 454, 763, 1129, 540, 519, 581, 11232, 454, 2467, 616, 4867, 476, 273, 2139, 454, 8489, 1677, 4855, 898, 454, 13510, 9005, 10515, 625, 281, 3004, 591, 6229, 15272, 267, 4639, 15272, 454, 29381, 4805, 547, 9856, 519, 1920, 781, 19069, 1753, 538, 22733, 10601, 19051, 267, 513, 7911, 568, 2182, 1790, 5962, 547, 7639, 2394, 2199, 12075, 4001, 1864, 741, 1983, 563, 19868, 514, 547, 2328, 513, 2689, 540, 707, 1378, 269, 0, 11073, 540, 3509, 281, 589, 3778, 540, 519, 1977, 4658, 454, 1607, 1433, 3091, 513, 10058, 267, 12905, 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 ]
[ 835, 540, 1346, 2831, 602, 594, 4126, 547, 1294, 782, 519, 942, 855, 585, 930, 2601, 1810, 1406, 563, 3383, 5063, 1247, 13057, 513, 8666, 4663, 538, 31803, 2817, 5244, 538, 519, 17909, 540, 5162, 267, 594, 729, 26752, 2614, 547, 6108, 513, 7008, 2395, 609, 513, 1297, 540, 29372, 269, 769, 1249, 267, 835, 1554, 972, 729, 811, 982, 1175, 835, 16541, 267, 972, 729, 2947, 563, 763, 4414, 16737, 568, 519, 4102, 540, 519, 29372, 543, 568, 1336, 2429, 519, 7187, 21571, 1519, 3345, 3013, 267, 2342, 267, 5607, 543, 2694, 540, 3345, 4000, 269, 898, 814, 849, 1044, 5189, 676, 1004, 547, 5245, 269, 898, 814, 606, 5863, 2702, 547, 3082, 547, 1175, 827, 1022, 1604, 543, 7109, 919, 1373, 1472, 1004, 1360, 1134, 269, 769, 1249, 267, 621, 1281, 865, 1134, 602, 621, 568, 1419, 1336, 538, 2462, 4872, 607, 1134, 607, 6917, 2127, 269, 1358, 3100, 547, 798, 1360, 1134, 538, 28180, 2127, 607, 1134, 269, 2368, 1131, 8044, 602, 519, 4414, 16737, 814, 4553, 1004, 538, 519, 7269, 2066, 519, 4541, 563, 8601, 741, 1455, 2012, 789, 2097, 538, 513, 2647, 3099, 540, 4778, 267, 689, 5176, 3109, 267, 547, 1025, 1180, 543, 1082, 18707, 1063, 269, 2368, 723, 2699, 4703, 855, 3109, 7953, 543, 824, 10659, 269, 634, 1114, 7801, 1419, 3947, 4473, 547, 1114, 4408, 971, 607, 9061, 16737, 610, 18234, 16737, 269, 1452, 4408, 616, 1419, 1031, 585, 2831, 609, 4158, 610, 12457, 610, 8988, 512, 5792, 4158, 9663, 269, 1809, 1100, 2339, 1018, 2681, 10359, 540, 519, 16541, 267, 835, 3364, 3788, 5812, 267, 519, 9133, 540, 519, 2766, 269, 634, 4414, 16737, 814, 513, 3043, 9133, 540, 519, 2766, 267, 1247, 922, 2673, 23013, 519, 22630, 16737, 630, 308, 24945, 517, 14557, 699, 334, 1173, 25366, 639, 264, 814, 513, 3109, 9133, 540, 519, 2766, 269, 2353, 540, 891, 2681, 7648, 723, 3366, 547, 27563, 7114, 1082, 1016, 6741, 2886, 269, 2368, 5431, 20733, 540, 476, 3393, 1114, 1016, 6741, 2886, 585, 519, 4414, 16737, 269, 5213, 1406, 1205, 803, 3323, 593, 519, 1016, 6741, 2886, 1888, 563, 763, 4414, 16737, 568, 513, 4487, 693, 4466, 1426, 269, 1358, 3548, 6140, 1507, 11864, 971, 607, 8983, 267, 2019, 525, 543, 695, 4319, 338, 2059, 609, 3677, 11864, 971, 607, 17544, 543, 25277, 269, 1358, 849, 3548, 513, 2647, 3099, 540, 1507, 5017, 267, 20641, 267, 543, 27738, 269, 1358, 616, 2309, 2065, 29650, 267, 799, 1797, 789, 786, 1491, 5413, 540, 1022, 1426, 2707, 789, 1265, 538, 1840, 547, 10122, 585, 2933, 269, 898, 568, 711, 16613, 585, 513, 16541, 547, 588, 1662, 1426, 585, 2663, 946, 269, 2368, 2487, 2090, 1397, 29372, 723, 519, 2702, 547, 3314, 1141, 789, 554, 573, 1034, 540, 1018, 789, 1185, 6456, 4374, 1354, 563, 300, 1446, 29372, 616, 1572, 5243, 543, 8951, 616, 1572, 642, 1460, 839, 269, 634, 1762, 29372, 616, 1572, 20164, 269, 634, 2012, 16541, 2501, 689, 519, 2025, 2296, 799, 6508, 689, 519, 27272, 535, 7795, 338, 1794, 543, 4016, 547, 519, 5394, 569, 9663, 1042, 2766, 563, 6624, 1004, 19451, 569, 3494, 602, 4414, 16737, 525, 941, 5189, 547, 3345, 3013, 269, 10765, 5444, 11837, 2982, 602, 4414, 16737, 525, 3357, 547, 3345, 3013, 827, 476, 6110, 267, 1822, 1296, 3516, 269, 3776, 29372, 723, 1044, 9678, 689, 741, 3864, 630, 24874, 2622, 264, 13413, 585, 865, 1279, 602, 789, 616, 4358, 547, 1413, 1114, 543, 5310, 1831, 513, 5094, 2249, 269, 8786, 267, 930, 4414, 16737, 525, 723, 1044, 5189, 547, 3345, 3013, 538, 519, 476, 5002, 271, 779, 267, 855, 621, 4667, 602, 519, 6090, 689, 891, 5189, 29372, 4769, 1406, 7639, 563, 4407, 29372, 723, 5140, 2631, 540, 9329, 267, 741, 3020, 2706, 1379, 568, 741, 6217, 269, 1358, 723, 519, 2702, 547, 5873, 513, 10856, 693, 476, 4968, 3952, 543, 666, 22942, 609, 14686, 6111, 513, 10856, 896, 1896, 3952, 540, 6777, 269, 2755, 8523, 532, 1896, 4414, 16737, 525, 649, 14478, 607, 789, 15483, 741, 2212, 689, 2427, 547, 2427, 267, 609, 741, 10772, 11329, 4464, 538, 2698, 5834, 269, 1358, 7903, 1394, 1996, 741, 12042, 7953, 899, 23090, 909, 513, 5614, 269, 1879, 789, 723, 8930, 11329, 519, 10856, 896, 519, 6777, 789, 10131, 2933, 883, 519, 2011, 543, 726, 25128, 998, 519, 6777, 8930, 940, 519, 10352, 1524, 547, 519, 2666, 609, 519, 4395, 533, 9155, 1354, 1178, 25290, 621, 609, 741, 5023, 563, 296, 723, 1044, 2921, 15143, 547, 31803, 538, 519, 5162, 585, 936, 476, 736, 1296, 543, 713, 5162, 729, 519, 1655, 594, 723, 2479, 2938, 585, 4414, 16737, 525, 269, 28611, 594, 1131, 1294, 835, 610, 1079, 936, 513, 7008, 4374, 269, 901, 1032, 594, 729, 26752, 2614, 547, 723, 1082, 29372, 936, 1896, 2395, 1818, 621, 835, 540, 519, 1655, 15143, 585, 4414, 16737, 525, 538, 513, 1360, 1279, 942, 269, 19402, 1985, 942, 7498, 1805, 534, 1855, 330, 1408, 320, 568, 606, 2278, 1315, 2067, 626, 543, 7320, 23031, 945, 12599, 519, 1158, 547, 1353, 543, 7001, 2592, 540, 7320, 269, 1261, 666, 581, 4553, 693, 8940, 269, 13318, 8183, 2593, 267, 543, 8940, 269, 2183, 1504, 2593, 269, 1261, 666, 581, 30409, 3842, 1010, 1357, 2985, 693, 8940, 8542, 2137, 27926, 2593, 563, 763, 25422, 25102, 5344, 7186, 27319, 28758, 5526, 538, 936, 476, 1839, 4872, 17364, 476, 278, 2829, 281, 16506, 267, 16855, 267, 12309, 267, 13325, 267, 11882, 267, 1715, 3840, 543, 12425, 269, 898, 568, 513, 1979, 22173, 569, 6241, 6933, 730, 547, 936, 476, 16020, 267, 1822, 3988, 563, 296, 993, 1419, 4280, 1018, 568, 1250, 5172, 3662, 547, 8523, 269, 1358, 1616, 803, 547, 2626, 609, 835, 3982, 543, 17386, 5172, 1814, 614, 269, 5384, 1310, 942, 594, 14922, 873, 676, 6031, 1250, 5172, 7320, 547, 8523, 11148, 547, 581, 8726, 594, 4755, 547, 581, 8523, 532, 693, 519, 942, 269, 594, 10093, 1406, 1558, 1022, 2483, 2691, 621, 2501, 547, 5017, 267, 621, 568, 782, 827, 519, 3915, 269, 962, 320, 267, 596, 917, 267, 519, 3915, 610, 581, 752, 269, 634, 3915, 540, 513, 6177, 568, 1018, 2731, 2306, 519, 5017, 2189, 269, 898, 729, 16817, 945, 8068, 602, 519, 1710, 2583, 646, 4718, 593, 519, 8895, 777, 31310, 11866, 538, 476, 8146, 272, 268, 3607, 267, 1185, 1114, 8032, 543, 2450, 12014, 602, 5330, 539, 609, 519, 2732, 2483, 4407, 13057, 513, 8666, 4663, 538, 8419, 2063, 3018, 267, 649, 1141, 26752, 547, 7001, 930, 5863, 2592, 540, 835, 540, 3345, 3013, 779, 1034, 10875, 5017, 267, 519, 14986, 622, 1975, 3019, 321, 650, 630, 5522, 520, 1446, 320, 513, 329, 24652, 1040, 30557, 5176, 476, 274, 3952, 7381, 267, 519, 14986, 622, 1975, 3019, 321, 650, 568, 2182, 547, 4413, 713, 11909, 267, 2699, 267, 3043, 543, 5835, 2483, 2005, 568, 711, 1419, 602, 594, 1205, 547, 2170, 609, 1079, 1360, 2147, 855, 849, 1360, 1114, 2249, 593, 1394, 547, 1394, 8666, 15143, 269, 594, 993, 6158, 827, 5211, 17305, 1562, 630, 299, 2632, 571, 666, 611, 18424, 264, 543, 7256, 17305, 1562, 630, 5319, 5139, 571, 561, 583, 5142, 1040, 4014, 789, 1413, 26526, 2147, 267, 789, 616, 1360, 1114, 538, 865, 1082, 2081, 269, 1924, 31972, 10376, 1032, 267, 1282, 4873, 543, 5147, 267, 12254, 1855, 330, 1408, 320, 3091, 1079, 1158, 11665, 7320, 10344, 19150, 269, 3371, 781, 707, 4960, 547, 1451, 930, 15361, 540, 519, 4123, 689, 513, 1283, 3318, 563, 8698, 782, 540, 519, 10643, 538, 519, 454, 13425, 856, 12254, 781, 5767, 6337, 693, 454, 26903, 27319, 13812, 16103, 454, 2710, 596, 723, 1022, 4277, 7320, 538, 707, 18147, 286, 7102, 21224, 5017, 267, 13650, 267, 2881, 12399, 267, 20641, 267, 27738, 267, 610, 824, 2189, 7320, 286, 2107, 6148, 513, 16541, 610, 31352, 1774, 3954, 888, 2252, 865, 267, 3346, 12254, 693, 4757, 11333, 2593, 609, 707, 18147, 7320, 269, 1403, 646, 666, 1205, 513, 1434, 8666, 540, 519, 1641, 267, 646, 786, 6494, 596, 513, 1820, 540, 519, 8666, 547, 13793, 593, 707, 3774, 563, 24576, 2398, 6493, 543, 19297, 540, 12254, 781, 6337, 693, 454, 14872, 2398, 6493, 1299, 5403, 619, 454, 295, 792, 12254, 593, 5925, 10473, 782, 2066, 519, 29268, 563, 14872, 2859, 27084, 454, 2691, 646, 781, 856, 538, 519, 2361, 267, 12254, 12346, 593, 1010, 966, 29448, 681, 1794, 528, 10822, 22811, 338, 543, 966, 29448, 681, 1794, 528, 31986, 9165, 547, 948, 1265, 519, 5396, 585, 1010, 8366, 10888, 7320, 10344, 563, 2690, 13977, 1296, 267, 3318, 7320, 23031, 12254, 1855, 330, 1408, 320, 814, 18886, 593, 15391, 781, 17421, 543, 11473, 547, 1683, 1864, 609, 3318, 10344, 3937, 563, 5804, 7552, 16104, 547, 8254, 4703, 543, 14485, 267, 15391, 781, 814, 1044, 12254, 781, 1747, 585, 3388, 602, 646, 2115, 269, 9608, 3028, 543, 5401, 11288, 1797, 12254, 666, 1293, 593, 15391, 781, 547, 1489, 1010, 3318, 7320, 10344, 4876, 563, 32153, 13812, 7353, 19212, 12254, 1855, 330, 1408, 320, 2141, 3096, 16376, 518, 18610, 538, 1010, 6079, 29650, 547, 948, 1832, 519, 29650, 543, 1426, 3819, 267, 2973, 543, 9044, 1863, 563, 3891, 849, 3096, 16376, 518, 18610, 715, 20973, 4347, 2658, 538, 782, 540, 1010, 23832, 12704, 29650, 269, 898, 9108, 8952, 22060, 4195, 3476, 269, 0, 396, 510, 3264, 20732, 23845, 3264, 30935, 28027, 17221, 13953, 476, 278, 328, 23519, 16938, 396, 494, 4709, 15671, 20434, 13953, 4736, 24012, 13953, 11714, 16044, 482, 30718, 7846, 4736, 3264, 30935, 476, 279, 13953, 17095, 20977, 4736, 4736, 14872, 454, 268, 476, 272, 264, 554, 282, 476, 273, 264, 513, 282, 476, 274, 264, 552, 282, 476, 275, 264, 535, 282, 476, 276, 264, 536, 282, 476, 277, 264, 1775, 282, 476, 278, 264, 795, 282, 476, 279, 264, 546, 282, 476, 280, 264, 575, 282, 476, 1015, 264, 524, 3248, 268, 476, 272, 264, 513, 282, 476, 273, 264, 513, 282, 476, 274, 264, 513, 282, 476, 275, 264, 536, 3248, 268, 476, 272, 264, 666, 282, 476, 273, 264, 1744, 718, 282, 476, 274, 264, 1131, 282, 476, 275, 264, 1810, 1406, 723, 547, 282, 476, 276, 264, 666, 282, 476, 277, 264, 1590, 282, 476, 278, 264, 666, 282, 476, 279, 264, 14348, 282, 476, 280, 264, 18771, 3248, 268, 476, 272, 264, 1590, 10774, 1511, 547, 282, 476, 273, 264, 666, 1406, 282, 476, 274, 264, 1744, 718, 282, 476, 275, 264, 1744, 718, 282, 476, 276, 264, 949, 270, 4754, 282, 476, 277, 264, 666, 1406, 8276, 755, 333, 1406, 282, 476, 278, 264, 2904, 282, 476, 279, 264, 1058, 270, 4454, 547, 3248, 268, 476, 272, 264, 645, 282, 476, 273, 264, 589, 282, 476, 274, 264, 589, 282, 476, 275, 264, 645, 282, 476, 276, 264, 645, 3248, 268, 476, 272, 264, 1810, 1406, 723, 270, 928, 539, 282, 476, 273, 264, 11129, 547, 270, 29019, 23590, 282, 476, 274, 264, 1590, 581, 282, 476, 275, 264, 666, 1406, 723, 4503, 4283, 282, 476, 276, 264, 729, 2111, 547, 282, 476, 277, 264, 1223, 979, 547, 282, 476, 278, 264, 1058, 798, 282, 476, 279, 264, 666, 1406, 8276, 755, 333, 1406, 3248, 9558, 331, 1807, 779, 7944, 476, 278, 454, 268, 2843, 509, 3264, 16417, 8563, 29391, 4138, 16021, 21660, 25602, 4709, 15671, 20434, 13953, 4736, 24012, 13953, 11714, 9924, 13077, 21833, 23845, 9326, 912, 6618, 547, 519, 5769, 267, 547, 3888, 513, 1982, 267, 547, 4647, 513, 3758, 267, 513, 1867, 3556, 267, 513, 4626, 564, 762, 267, 5383, 543, 11393, 267, 513, 2101, 8756, 267, 513, 3377, 1348, 518, 267, 547, 5734, 519, 24657, 267, 2661, 3795, 11486, 5802, 4751, 267, 2527, 2923, 267, 18538, 267, 2638, 15737, 267, 547, 4308, 609, 1159, 628, 1421, 593, 2011, 267, 2780, 3060, 267, 547, 2995, 1159, 321, 269, 1055, 267, 15149, 563, 268, 2843, 509, 3264, 16417, 8563, 29391, 4138, 16021, 21660, 25602, 4709, 15671, 20434, 13953, 4736, 24012, 13953, 912, 268, 769, 4789, 930, 1453, 1810, 1406, 979, 547, 1153, 267, 789, 3442, 1753, 2069, 269, 4107, 540, 519, 3237, 540, 971, 1453, 616, 3610, 855, 621, 3884, 1406, 865, 1271, 267, 607, 789, 946, 2228, 1153, 269, 634, 5769, 3947, 873, 513, 4960, 270, 534, 4316, 547, 2744, 1702, 267, 1449, 2933, 267, 1353, 270, 2181, 6768, 585, 11400, 269, 7756, 2780, 3292, 948, 873, 547, 23590, 1570, 269, 1703, 616, 19421, 540, 2866, 6030, 593, 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 ]
[ 616, 15091, 538, 713, 5758, 269, 6201, 540, 1449, 934, 334, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16914, 7951, 725, 543, 3525, 5874, 257, 607, 851, 540, 834, 3633, 24102, 1315, 13281, 1299, 20970, 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, 17345, 5149, 281, 4197, 21637, 17194, 543, 519, 25608, 626, 11873, 692, 9213, 649, 616, 2469, 547, 1451, 827, 1079, 8371, 540, 17194, 910, 21637, 17194, 543, 519, 25608, 626, 11873, 269, 1452, 5322, 723, 1500, 1713, 7418, 547, 875, 7642, 2259, 741, 5132, 2221, 269, 1924, 1577, 781, 4685, 883, 891, 4241, 3584, 2439, 5575, 267, 1577, 781, 2911, 827, 21637, 17194, 269, 5853, 539, 538, 5125, 1282, 519, 2038, 476, 5197, 271, 338, 267, 21637, 17194, 8179, 547, 3082, 2757, 6014, 2853, 547, 1732, 3514, 2413, 2053, 1247, 4509, 2178, 4296, 547, 6014, 6561, 543, 10752, 269, 5994, 952, 707, 5172, 1920, 2245, 3238, 8876, 5230, 3615, 593, 707, 2212, 1317, 621, 729, 2944, 5553, 3516, 282, 21637, 17194, 7512, 15819, 971, 5389, 543, 21130, 873, 950, 2556, 269, 1306, 942, 5293, 267, 1082, 3344, 540, 21637, 17194, 941, 6766, 676, 519, 4529, 1141, 6014, 2950, 12306, 267, 2523, 538, 3013, 780, 3086, 267, 1018, 2306, 519, 25608, 626, 11873, 2189, 286, 634, 25608, 626, 11873, 3323, 538, 519, 476, 4572, 271, 338, 896, 519, 5583, 540, 15887, 6798, 631, 867, 1815, 2967, 18087, 17839, 269, 1261, 4718, 17194, 711, 1175, 607, 513, 4984, 855, 849, 607, 606, 9687, 3909, 10340, 1107, 1945, 602, 9428, 543, 2242, 936, 942, 899, 513, 2713, 3529, 269, 1280, 3236, 267, 1589, 827, 875, 2029, 5222, 938, 2729, 1169, 1554, 282, 13974, 267, 519, 25608, 626, 11873, 11099, 602, 1007, 18563, 543, 6848, 10593, 666, 3337, 6014, 4978, 543, 9821, 1932, 780, 3080, 1883, 3017, 1063, 21637, 17194, 543, 519, 25608, 626, 11873, 568, 741, 21169, 593, 2696, 269, 2755, 1312, 2516, 3494, 538, 513, 2362, 1379, 267, 789, 2769, 713, 3661, 8335, 269, 4107, 21637, 7642, 946, 2757, 19001, 543, 1893, 950, 8220, 609, 2696, 267, 6466, 1346, 1369, 519, 25608, 626, 11873, 1522, 4782, 811, 19621, 12496, 610, 1256, 4766, 2696, 1210, 4008, 16250, 23018, 2474, 780, 2005, 781, 1271, 547, 3314, 602, 9444, 7936, 1202, 1235, 972, 781, 1152, 835, 1259, 547, 581, 6014, 269, 5502, 267, 789, 5000, 2043, 547, 2263, 741, 17035, 543, 4276, 547, 6014, 1686, 267, 2146, 267, 543, 2528, 269, 5637, 5322, 11168, 1514, 5126, 960, 543, 1818, 519, 1158, 513, 1732, 1747, 998, 6411, 540, 11587, 1572, 834, 2466, 345, 341, 582, 3010, 4131, 803, 2671, 930, 1187, 5013, 827, 891, 11636, 6014, 5322, 1384, 265, 9894, 596, 917, 602, 21637, 31263, 690, 1132, 1419, 10950, 2021, 547, 1291, 2533, 543, 1293, 8449, 7258, 2367, 1282, 11755, 286, 2368, 1256, 1450, 1482, 20967, 22888, 2336, 265, 634, 25608, 626, 681, 13741, 25766, 5441, 267, 4092, 2282, 15740, 267, 13698, 267, 14884, 14558, 529, 945, 786, 4196, 7249, 2958, 725, 2066, 3345, 3013, 269, 1358, 2709, 5499, 3872, 5752, 267, 1519, 11925, 5059, 593, 2825, 6940, 267, 9066, 267, 543, 6575, 5610, 538, 10847, 2336, 265, 3509, 4583, 7642, 723, 1044, 2404, 609, 2901, 21637, 610, 25608, 626, 17194, 267, 971, 607, 25288, 14068, 518, 717, 1231, 7921, 267, 13744, 26791, 267, 543, 15182, 731, 12672, 7322, 780, 1103, 3932, 267, 21637, 17194, 543, 519, 25608, 626, 11873, 2099, 6422, 4485, 547, 8026, 17194, 602, 1871, 2123, 3408, 267, 9542, 267, 543, 6278, 609, 4207, 2152, 269, 6787, 8508, 1689, 610, 8497, 15851, 7326, 267, 1142, 1193, 1161, 547, 1711, 6209, 2833, 585, 7642, 5001, 269, 5457, 267, 1100, 2339, 799, 2619, 596, 3442, 267, 1373, 3020, 547, 3054, 543, 707, 4978, 6927, 1034, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 347, 28347, 1475, 305, 629, 6798, 1546, 4011, 1695, 654, 1314, 2006, 2008, 763, 25608, 626, 681, 13741, 25766, 5441, 630, 305, 13612, 264, 568, 513, 6014, 5033, 2435, 538, 654, 2106, 322, 1774, 267, 12425, 269, 898, 568, 519, 1152, 5033, 2435, 28337, 609, 25608, 626, 17194, 269, 898, 568, 26886, 676, 519, 8189, 593, 14451, 4065, 540, 519, 5664, 2276, 5948, 540, 30793, 2471, 543, 12140, 269, 681, 13612, 814, 606, 27350, 540, 5111, 476, 3199, 1053, 538, 14558, 28649, 543, 824, 10927, 3292, 563, 288, 476, 1001, 273, 1964, 31382, 540, 519, 25608, 626, 3350, 781, 5238, 2451, 681, 13612, 607, 519, 3119, 3919, 540, 519, 3350, 267, 18188, 676, 15887, 6798, 1546, 4011, 1695, 654, 1314, 2006, 269, 901, 3844, 3919, 4957, 922, 2012, 547, 834, 3725, 24554, 532, 17194, 257, 538, 5130, 476, 1001, 279, 269, 2443, 519, 25608, 626, 681, 13741, 25766, 5441, 3788, 851, 540, 713, 3919, 563, 3725, 18586, 626, 17194, 267, 513, 12666, 3350, 602, 5784, 17194, 607, 519, 968, 5271, 6295, 3909, 10340, 540, 519, 6014, 1004, 892, 729, 3964, 676, 631, 867, 1815, 2967, 18087, 17839, 538, 519, 476, 4350, 271, 338, 607, 513, 1153, 540, 2219, 269, 1261, 1185, 3573, 3310, 593, 1977, 17194, 267, 3226, 593, 20271, 894, 606, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 17194, 1315, 21637, 1315, 21637, 6014, 4065, 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, 476, 1015, 281, 4112, 32590, 538, 24755, 657, 910, 674, 847, 1023, 543, 8682, 4149, 25630, 640, 692, 1015, 269, 272, 4985, 692, 763, 1158, 1472, 721, 1419, 5526, 26093, 543, 20437, 269, 3245, 2883, 6990, 547, 4365, 3270, 267, 1950, 1949, 666, 8858, 9583, 4351, 2623, 602, 2306, 873, 2352, 547, 2203, 543, 1174, 269, 8616, 1369, 713, 14784, 6013, 513, 6456, 1931, 267, 6353, 676, 6946, 3889, 1634, 607, 5762, 1023, 269, 1452, 12166, 5546, 4865, 18110, 3270, 693, 1169, 1377, 540, 3172, 2305, 267, 10452, 741, 7915, 1582, 1606, 25630, 640, 269, 901, 3184, 12538, 883, 519, 4241, 7706, 540, 14784, 3069, 267, 4481, 3695, 519, 1523, 540, 5762, 1023, 543, 1582, 1606, 25630, 640, 269, 1284, 3513, 1451, 875, 891, 6310, 21437, 8451, 6923, 538, 1585, 3621, 10459, 543, 3605, 741, 2484, 23568, 6286, 538, 4610, 971, 607, 2780, 12449, 267, 1239, 13496, 267, 543, 1256, 4683, 4058, 780, 1015, 269, 273, 20223, 674, 847, 1023, 543, 8682, 4149, 25630, 640, 692, 293, 847, 1023, 616, 28222, 1950, 267, 2760, 268, 2056, 3270, 602, 4159, 1582, 1606, 25630, 640, 2066, 1114, 10253, 269, 1358, 666, 581, 6383, 998, 2241, 4834, 610, 6508, 689, 2067, 9259, 899, 5032, 6050, 267, 6777, 4148, 1389, 267, 543, 15270, 269, 1677, 5963, 9787, 519, 9759, 540, 5762, 1023, 267, 621, 568, 1898, 547, 1101, 10146, 519, 2856, 540, 1582, 1606, 25630, 640, 780, 20236, 1606, 25630, 640, 4016, 547, 519, 3959, 17929, 606, 1843, 20998, 3294, 950, 9763, 693, 8795, 2157, 540, 4336, 610, 6571, 269, 5994, 18186, 4040, 538, 593, 513, 535, 1716, 6978, 282, 596, 1131, 7747, 4130, 8747, 540, 519, 1482, 3337, 7368, 2429, 922, 2497, 630, 29664, 476, 272, 1040, 901, 17279, 740, 1102, 8181, 636, 28837, 1582, 1606, 25630, 640, 1107, 513, 4909, 8984, 540, 1082, 5762, 1023, 780, 314, 11900, 1068, 4137, 476, 272, 1309, 1632, 281, 7151, 540, 1582, 1606, 25630, 640, 538, 2470, 281, 4936, 525, 1723, 22282, 27109, 1582, 1606, 25630, 3303, 1023, 269, 6540, 2691, 7234, 5762, 1023, 267, 1079, 1883, 2474, 4749, 10836, 281, 15002, 2065, 543, 32094, 269, 10318, 514, 2065, 5762, 1023, 1267, 689, 12055, 908, 2241, 3652, 14578, 267, 1247, 32094, 5762, 1023, 6451, 930, 4110, 540, 4351, 1145, 1282, 741, 5108, 1184, 269, 5637, 2010, 2671, 1455, 3601, 267, 1519, 1582, 1606, 25630, 640, 543, 1875, 10784, 1122, 518, 7516, 780, 1015, 269, 274, 17435, 5014, 543, 20970, 540, 674, 847, 1023, 692, 3080, 1522, 7620, 8263, 602, 782, 3615, 723, 8870, 7516, 1107, 2798, 616, 4642, 8820, 267, 3515, 616, 835, 8820, 267, 14742, 616, 1079, 8820, 267, 543, 17571, 616, 1614, 8820, 269, 1717, 267, 5762, 1023, 4161, 713, 10206, 676, 30939, 2230, 1063, 9981, 1813, 547, 741, 12808, 6988, 780, 2414, 2268, 519, 10155, 540, 513, 5762, 531, 267, 649, 946, 513, 4480, 1572, 4216, 10203, 269, 1635, 8720, 519, 5762, 531, 609, 5051, 5386, 21870, 543, 10203, 519, 10833, 2838, 547, 3382, 621, 4625, 267, 649, 666, 5173, 519, 5762, 531, 10155, 1210, 3830, 476, 272, 1384, 291, 815, 1929, 263, 272, 270, 8421, 3799, 4297, 1422, 265, 2845, 18217, 263, 15770, 11723, 3602, 667, 4564, 519, 5762, 531, 10155, 267, 562, 18575, 519, 2450, 5786, 3815, 630, 328, 4318, 1421, 519, 5223, 540, 7470, 7306, 1070, 715, 263, 15770, 264, 19752, 519, 1297, 540, 10833, 2877, 547, 3382, 519, 5762, 531, 693, 513, 2016, 4336, 31330, 267, 543, 1412, 3916, 262, 6920, 2921, 519, 3970, 607, 31330, 4485, 4642, 780, 2690, 1383, 267, 2015, 918, 5255, 7455, 267, 513, 5929, 15002, 2065, 5762, 531, 2813, 676, 16571, 1947, 13868, 2786, 1899, 12415, 609, 31164, 12730, 630, 29664, 476, 273, 1040, 2311, 1142, 21767, 267, 519, 2698, 3259, 4679, 676, 513, 3815, 540, 476, 275, 270, 274, 267, 3056, 547, 513, 5762, 531, 10155, 540, 5111, 476, 272, 269, 28360, 280, 780, 314, 11900, 1068, 4137, 476, 273, 1309, 1632, 281, 14716, 540, 918, 5255, 7455, 11744, 1582, 1606, 25630, 640, 543, 2810, 6988, 936, 20422, 23200, 269, 6540, 1015, 269, 275, 10241, 540, 674, 847, 1023, 543, 8682, 4149, 25630, 640, 692, 8139, 5762, 1023, 543, 1582, 1606, 25630, 640, 10741, 909, 3875, 3156, 2066, 3309, 11890, 1384, 320, 264, 8950, 29093, 281, 20551, 543, 9858, 2308, 5762, 1023, 547, 1711, 11617, 11495, 2592, 543, 27515, 267, 19713, 6620, 602, 5352, 6946, 3270, 1759, 593, 2241, 3652, 269, 6201, 2039, 689, 30642, 8916, 547, 5214, 3029, 899, 12269, 267, 4054, 267, 543, 5810, 630, 29664, 476, 274, 6393, 321, 264, 4578, 3281, 1833, 281, 674, 847, 531, 9511, 6087, 3608, 6041, 540, 1950, 6786, 543, 2592, 676, 29227, 741, 5817, 1582, 1606, 25630, 885, 269, 9828, 971, 607, 5762, 531, 3239, 13496, 2709, 9120, 2773, 3379, 547, 2757, 2409, 899, 31179, 9680, 267, 3226, 585, 1978, 5049, 540, 1239, 630, 324, 3052, 1421, 2564, 11052, 6393, 322, 264, 12124, 12020, 281, 11629, 338, 543, 2749, 24990, 4019, 5762, 531, 3741, 547, 11126, 6808, 2095, 267, 21138, 2200, 7561, 267, 543, 1374, 8353, 24312, 24886, 5624, 602, 32069, 11753, 3710, 5054, 609, 2067, 10450, 630, 29664, 476, 275, 6393, 323, 264, 5695, 12712, 775, 21290, 281, 29079, 6422, 1235, 8415, 5762, 1023, 547, 18082, 24360, 8928, 811, 8308, 982, 6671, 3631, 267, 13830, 1507, 8397, 1196, 11276, 3889, 3743, 585, 3002, 4483, 543, 11544, 3157, 538, 1585, 4853, 3156, 630, 324, 3052, 1421, 3114, 26119, 267, 13674, 9817, 6393, 314, 11900, 1068, 5515, 476, 274, 1299, 476, 275, 3061, 687, 281, 7612, 476, 274, 2982, 606, 1383, 540, 13495, 601, 12712, 321, 5762, 531, 1148, 282, 7612, 476, 275, 10525, 513, 5762, 958, 2966, 1857, 4009, 7393, 31355, 1995, 543, 5009, 1514, 5872, 269, 6540, 1103, 3932, 267, 519, 1353, 540, 5762, 1023, 543, 1582, 1606, 25630, 640, 3091, 7096, 4030, 883, 519, 6456, 3889, 15449, 908, 938, 26093, 1158, 269, 3414, 14236, 891, 17715, 6310, 9988, 267, 3744, 543, 8030, 7567, 12260, 1007, 7399, 585, 5647, 2066, 16221, 10459, 267, 5807, 513, 4514, 7071, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10932, 538, 519, 12357, 2783, 1634, 607, 968, 2246, 1143, 892, 630, 852, 9286, 607, 968, 8505, 1143, 25400, 13081, 14615, 5170, 547, 7866, 811, 827, 519, 3597, 540, 519, 1966, 269, 1280, 1383, 267, 513, 2319, 540, 12370, 2160, 543, 20037, 5778, 27023, 1235, 723, 1175, 4857, 513, 3095, 1063, 10295, 2589, 543, 519, 32239, 717, 29866, 269, 2986, 1576, 267, 713, 568, 513, 19506, 6602, 799, 1223, 28724, 4601, 1291, 547, 1007, 10295, 2126, 543, 5868, 2409, 563, 22154, 568, 519, 1101, 4276, 538, 3425, 1063, 513, 32239, 538, 519, 2634, 543, 606, 26144, 8965, 10835, 2223, 6941, 20037, 17755, 4261, 4659, 585, 11020, 3194, 2022, 25269, 2875, 8349, 710, 21662, 517, 12854, 563, 763, 1291, 2278, 540, 513, 1007, 1353, 4448, 547, 713, 1382, 4422, 593, 547, 6941, 602, 519, 1909, 540, 717, 29866, 568, 607, 513, 5365, 28166, 267, 7303, 2634, 2281, 689, 5665, 607, 3210, 547, 5007, 15128, 563, 9515, 6941, 267, 968, 294, 24717, 568, 3743, 585, 15202, 602, 11409, 1058, 2490, 1055, 267, 610, 3247, 20590, 269, 898, 11148, 547, 2097, 883, 1404, 950, 1344, 568, 1373, 10299, 543, 621, 2115, 547, 581, 9505, 1524, 610, 22012, 856, 3034, 763, 1353, 10822, 22811, 31195, 30147, 568, 513, 1826, 540, 3308, 1599, 24568, 476, 736, 4079, 945, 1185, 1044, 8995, 609, 10295, 269, 1358, 849, 6594, 476, 2641, 1852, 4079, 269, 1280, 519, 10822, 22811, 31195, 1964, 267, 519, 3744, 4951, 1142, 1895, 1079, 2592, 1765, 821, 3239, 4843, 547, 1142, 3750, 267, 8195, 23121, 7747, 875, 519, 2841, 539, 585, 8226, 17282, 538, 519, 2634, 563, 763, 3173, 1179, 3634, 602, 28810, 27383, 547, 519, 5007, 1604, 666, 1118, 621, 2352, 585, 513, 1268, 609, 10295, 547, 11716, 610, 19820, 856, 16297, 532, 17915, 267, 4992, 267, 3092, 267, 799, 666, 1267, 538, 4743, 16397, 538, 3810, 18398, 3871, 269, 2368, 1453, 609, 10295, 267, 585, 1383, 267, 666, 581, 3362, 26531, 676, 28349, 7802, 610, 1256, 676, 29779, 19355, 6846, 269, 634, 3173, 849, 2303, 602, 28810, 27383, 666, 1404, 513, 2101, 1909, 538, 519, 2783, 779, 1292, 338, 2589, 799, 2882, 1919, 899, 16625, 5615, 267, 1514, 5578, 15717, 267, 543, 7411, 609, 14379, 563, 15368, 1227, 267, 519, 1353, 20147, 602, 950, 717, 29866, 1281, 711, 798, 519, 2816, 621, 568, 2966, 547, 798, 1765, 32355, 676, 29840, 610, 676, 3274, 519, 3668, 540, 621, 22924, 568, 811, 2352, 585, 519, 2634, 547, 1445, 9624, 2825, 19240, 563, 23961, 1206, 517, 20147, 267, 1287, 267, 968, 31714, 609, 10295, 616, 1634, 547, 723, 1469, 15129, 3308, 8226, 2443, 27109, 7415, 3007, 547, 1507, 3877, 538, 519, 10444, 1604, 543, 7411, 19003, 856, 610, 1139, 7675, 13061, 10444, 1344, 269, 898, 779, 1279, 1044, 2219, 713, 1522, 723, 1945, 547, 798, 609, 22629, 538, 519, 2634, 267, 543, 938, 4681, 22937, 1489, 547, 713, 10206, 3034, 1607, 1353, 814, 1044, 3370, 538, 519, 4760, 7351, 10334, 269, 0, 2171, 3580, 1376, 609, 519, 476, 1015, 829, 21027, 30529, 2477, 538, 519, 2898, 540, 2342, 269, 769, 7584, 1931, 912, 268, 27718, 13960, 1107, 12654, 2475, 259, 16348, 271, 454, 268, 12907, 1107, 12654, 2475, 259, 32579, 271, 454, 268, 24230, 26785, 1107, 12654, 2475, 259, 274, 4200, 271, 454, 268, 24640, 807, 1107, 2475, 259, 275, 3393, 271, 454, 268, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 1107, 12654, 2475, 259, 5325, 277, 280, 454, 268, 6243, 540, 24765, 8205, 1107, 12654, 2475, 259, 276, 1428, 271, 454, 268, 28993, 1107, 12654, 2475, 259, 6812, 273, 271, 454, 268, 3933, 1084, 1122, 549, 1107, 12654, 2475, 259, 278, 3953, 271, 454, 268, 31697, 1107, 12654, 2475, 259, 278, 7830, 271, 454, 268, 27597, 1107, 12654, 2475, 259, 280, 5655, 271, 454, 30182, 829, 21027, 4747, 538, 2342, 607, 513, 2898, 568, 2475, 259, 4391, 267, 28766, 630, 1001, 279, 5515, 1916, 1432, 568, 18476, 568, 602, 1034, 540, 891, 2829, 616, 13883, 538, 2901, 519, 26811, 753, 610, 3162, 7232, 6141, 2342, 269, 1809, 602, 568, 711, 519, 1439, 540, 519, 1650, 563, 21545, 1872, 531, 267, 519, 30529, 2197, 538, 7262, 2342, 609, 12654, 7555, 693, 2475, 259, 24487, 321, 11669, 267, 568, 1175, 533, 5792, 676, 519, 16231, 6243, 630, 852, 16231, 807, 799, 568, 2965, 538, 519, 8998, 540, 2342, 264, 607, 519, 5182, 1685, 518, 540, 519, 5101, 4171, 3084, 4747, 6763, 693, 2475, 259, 476, 13301, 267, 10755, 6230, 11669, 563, 13295, 267, 538, 2474, 540, 829, 21027, 4747, 519, 16231, 6243, 568, 519, 6852, 11347, 540, 519, 608, 4149, 990, 2884, 2829, 538, 2342, 269, 901, 23786, 543, 2804, 1579, 822, 720, 1223, 15991, 581, 22880, 518, 269, 1452, 1079, 16402, 22271, 2158, 21613, 519, 6498, 540, 3345, 543, 3162, 1063, 519, 2475, 270, 28657, 543, 3844, 543, 5824, 3013, 563, 28074, 540, 519, 3007, 547, 3864, 1646, 1107, 610, 519, 3668, 540, 621, 1107, 814, 1044, 840, 31039, 609, 519, 7934, 1063, 519, 4639, 543, 3162, 540, 2342, 269, 901, 1459, 11634, 1143, 568, 30289, 547, 6836, 267, 7318, 267, 543, 8959, 2804, 2994, 1596, 592, 326, 730, 676, 519, 1585, 5238, 540, 14051, 281, 519, 22558, 293, 267, 654, 289, 267, 654, 15674, 543, 865, 8521, 563, 763, 2582, 9304, 267, 519, 20789, 267, 2968, 3656, 13035, 593, 476, 272, 5130, 476, 1960, 280, 543, 729, 7550, 676, 1034, 540, 519, 2477, 538, 519, 16402, 1858, 269, 1809, 713, 9863, 547, 581, 519, 3768, 21749, 540, 519, 2797, 4346, 540, 519, 3162, 563, 2691, 1114, 19988, 2829, 616, 3743, 585, 741, 1378, 2804, 4507, 543, 616, 2111, 547, 1820, 543, 3390, 741, 1378, 19728, 593, 1158, 6990, 267, 1022, 1253, 25344, 543, 32277, 3286, 906, 799, 2049, 538, 4123, 21356, 568, 10970, 7007, 676, 2242, 538, 5385, 2557, 2418, 1107, 538, 2110, 267, 1821, 2728, 566, 269, 901, 786, 23248, 11177, 971, 20817, 543, 2132, 547, 513, 4123, 11466, 563, 4913, 267, 713, 3609, 568, 267, 1631, 267, 1100, 3476, 2139, 547, 519, 8828, 3864, 2829, 2094, 789, 1100, 3476, 723, 741, 1378, 19728, 543, 267, 538, 1840, 267, 616, 896, 519, 4691, 601, 720, 519, 3864, 6239, 7813, 630, 4488, 289, 1040, 634, 8828, 13020, 344, 616, 1631, 616, 1210, 519, 1482, 9304, 607, 519, 8832, 3864, 1025, 665, 267, 519, 20789, 267, 543, 2838, 676, 519, 10566, 289, 547, 1491, 593, 513, 835, 20695, 13352, 782, 13075, 3609, 563, 5719, 1998, 340, 725, 616, 4061, 12199, 856, 563, 11693, 519, 2362, 7607, 2157, 543, 2539, 3790, 540, 5125, 267, 26652, 267, 13785, 267, 5333, 543, 865, 8521, 267, 519, 8828, 15672, 2829, 723, 13175, 547, 2196, 5312, 3666, 540, 11033, 22907, 269, 634, 1152, 28627, 2451, 1930, 547, 873, 568, 1018, 568, 17941, 2048, 514, 4156, 1821, 2728, 566, 685, 1107, 1775, 4318, 1421, 513, 13831, 640, 563, 1607, 2164, 538, 1970, 2208, 267, 1164, 13864, 267, 1164, 9194, 267, 1244, 641, 1637, 267, 11912, 538, 1857, 7836, 543, 519, 1964, 540, 519, 22558, 293, 779, 23305, 17797, 618, 24727, 1107, 4507, 799, 723, 8959, 1175, 827, 10876, 269, 1924, 1454, 585, 519, 7013, 13020, 344, 563, 30696, 593, 8109, 2342, 24259, 1769, 593, 513, 1114, 1305, 540, 2042, 269, 4107, 8109, 3864, 2477, 267, 31697, 267, 23886, 807, 267, 16231, 6243, 267, 21640, 267, 543, 12996, 6854, 741, 1378, 19728, 282, 6306, 602, 568, 689, 11127, 2665, 899, 4678, 16129, 4171, 2229, 267, 7429, 519, 1004, 267, 4682, 1141, 23109, 21787, 547, 25500, 1107, 883, 519, 16402, 29773, 543, 519, 20789, 563, 18217, 11065, 269, 2368, 5375, 3864, 2477, 267, 552, 3052, 1421, 519, 5177, 267, 16862, 267, 16848, 543, 16157, 1705, 1107, 20617, 1107, 1832, 741, 1378, 19728, 8094, 2750, 6984, 6576, 267, 540, 1576, 267, 891, 8109, 3864, 2829, 1107, 17941, 2048, 10520, 819, 531, 11615, 685, 1107, 723, 1831, 588, 6817, 538, 2804, 24715, 566, 799, 865, 2484, 814, 1044, 2352, 952, 711, 7543, 547, 7753, 269, 1452, 9465, 723, 1044, 1808, 547, 519, 8109, 13020, 344, 563, 763, 3864, 5742, 1631, 5161, 540, 476, 2764, 2829, 269, 3143, 7864, 982, 476, 1015, 540, 891, 616, 5449, 2829, 540, 519, 8109, 2349, 665, 267, 543, 713, 8167, 568, 1305, 547, 1332, 609, 519, 31587, 1569, 542, 609, 930, 5634, 26811, 534, 6082, 269, 4014, 11908, 543, 12907, 616, 538, 1899, 585, 15376, 540, 519, 9167, 267, 789, 616, 849, 4397, 547, 6443, 24114, 607, 814, 1831, 22232, 585, 8321, 656, 9167, 2829, 563, 15371, 789, 3489, 2901, 568, 513, 2339, 540, 28756, 675, 267, 2705, 267, 607, 713, 1131, 581, 3592, 1978, 547, 3444, 6576, 779, 2699, 3515, 543, 1267, 538, 513, 2101, 23786, 27506, 1575, 269, 2342, 779, 8998, 540, 8904, 568, 13346, 269, 1656, 1247, 519, 1184, 540, 11836, 519, 3864, 5742, 568, 6117, 1689, 1369, 891, 2477, 267, 621, 568, 849, 4657, 519, 2470, 540, 2342, 3294, 563, 8489, 779, 1250, 623, 832, 3832, 888, 17829, 8109, 3864, 2829, 799, 7153, 689, 519, 2736, 5346, 540, 519, 8168, 5742, 1185, 1044, 3366, 547, 3494, 602, 513, 6505, 1007, 1158, 540, 4639, 3864, 2713, 4441, 267, 8476, 2628, 2157, 267, 1164, 3928, 540, 1514, 10688, 543, 4616, 941, 593, 2709, 563, 19013, 267, 789, 941, 4421, 606, 21903, 281, 519, 1267, 540, 519, 5912, 865, 2484, 4667, 547, 723, 1044, 519, 5137, 540, 513, 1970, 2914, 720, 554, 5793, 1633, 267, 513, 8473, 4346, 593, 519, 535, 2590, 525, 540, 519, 3810, 2919, 3864, 4295, 282, 513, 16402, 4528, 540, 19364, 10499, 288, 543, 519, 12103, 638, 559, 611, 7702, 267, 1775, 4318, 1421, 1970, 10509, 267, 1970, 13230, 267, 1970, 1983, 2504, 4559, 593, 519, 11204, 2427, 540, 519, 2475, 779, 7013, 10665, 563, 1607, 814, 1185, 9962, 2797, 543, 1514, 29298, 585, 519, 3003, 3864, 1788, 269, 634, 4858, 557, 1715, 2622, 679, 6665, 3042, 1705, 711, 723, 1022, 2596, 13057, 3741, 610, 4058, 824, 982, 519, 8912, 683, 565, 28515, 1095, 18587, 540, 3051, 520, 5314, 1673, 699, 326, 1637, 2000, 28515, 5314, 267, 519, 1134, 6253, 3518, 539, 3609, 2468, 611, 540, 519, 683, 565, 28515, 1404, 1504, 563, 23338, 547, 713, 3609, 6388, 729, 513, 11786, 13310, 1572, 2048, 3333, 1442, 7308, 2805, 9957, 634, 1249, 602, 713, 3609, 1185, 2907, 1044, 6836, 538, 6576, 543, 8959, 20498, 569, 267, 4769, 1406, 3100, 547, 5855, 519, 25280, 289, 269, 6270, 568, 2141, 519, 2013, 609, 3909, 4978, 563, 763, 14985, 3294, 1185, 1831, 2442, 1851, 519, 19782, 1132, 543, 2309, 1235, 540, 519, 2025, 2048, 32305, 2829, 9957, 1744, 1442, 7308, 2805, 729, 2966, 547, 26763, 268, 12537, 782, 519, 2025, 535, 28854, 1673, 28854, 18765, 827, 1533, 6304, 1143, 267, 530, 1409, 541, 1143, 267, 1514, 543, 3084, 4027, 282, 3800, 3769, 519, 6727, 8851, 540, 24307, 267, 3595, 6455, 540, 1533, 7221, 630, 1440, 643, 520, 5314, 1070, 543, 519, 23589, 8851, 540, 519, 8060, 543, 24307, 602, 1185, 19497, 4294, 547, 13848, 543, 5777, 563, 3719, 519, 683, 565, 28515, 17740, 1218, 29739, 2390, 513, 3609, 540, 2048, 16451, 532, 909, 685, 519, 6990, 799, 267, 2687, 547, 873, 267, 1131, 12366, 1047, 2208, 543, 1646, 269, 21023, 2406, 540, 1576, 267, 891, 4507, 849, 8118, 891, 2477, 547, 5021, 1107, 543, 1419, 2392, 2218, 1107, 7262, 21774, 543, 3310, 563, 763, 8710, 729, 31764, 547, 2049, 1354, 519, 10661, 540, 2883, 6990, 1369, 519, 3148, 543, 267, 538, 519, 9000, 540, 5092, 3854, 267, 1964, 31382, 3646, 2968, 5059, 593, 11668, 1107, 593, 4227, 519, 1770, 1942, 540, 11668, 538, 1931, 547, 1831, 968, 4818, 564, 1438, 6100, 898, 1058, 581, 6956, 602, 538, 29724, 2000, 28515, 267, 3761, 20933, 267, 9297, 519, 4155, 547, 5763, 543, 13884, 1303, 9229, 4507, 602, 2965, 1118, 741, 5095, 25013, 269, 1703, 4667, 547, 581, 513, 5594, 2107, 6202, 1014, 30993, 1934, 269, 2048, 303, 20191, 568, 32100, 19028, 763, 5951, 540, 2527, 13864, 602, 713, 6383, 538, 519, 2038, 476, 1960, 271, 338, 4422, 1134, 3564, 519, 2833, 540, 3703, 12424, 687, 540, 519, 476, 2735, 271, 338, 267, 609, 13864, 538, 930, 4525, 8757, 476, 3199, 829, 1298, 269, 1744, 1442, 3797, 22393, 22041, 513, 1793, 2794, 538, 519, 11615, 540, 519, 3148, 267, 676, 695, 30568, 519, 3148, 779, 2804, 6402, 267, 543, 1287, 2870, 513, 7372, 6469, 21748, 563, 4537, 1442, 268, 763, 2805, 1107, 2353, 1744, 1442, 1100, 10657, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 731, 519, 1034, 4583, 3239, 540, 519, 1153, 282, 713, 2039, 2882, 519, 1271, 954, 12542, 540, 519, 3474, 331, 712, 267, 30760, 8065, 267, 30760, 25679, 267, 1141, 1034, 540, 519, 476, 1240, 628, 2540, 834, 548, 3058, 23609, 257, 616, 6854, 269, 834, 5475, 13198, 17980, 781, 942, 4986, 1271, 729, 3710, 2394, 827, 476, 15757, 271, 267, 950, 3038, 739, 2353, 652, 872, 5795, 513, 2039, 547, 2673, 519, 7178, 2427, 540, 3427, 962, 731, 1063, 13722, 3427, 543, 30989, 2668, 901, 729, 28889, 8215, 543, 6192, 538, 476, 15433, 275, 676, 15623, 7813, 525, 267, 9457, 2961, 335, 10938, 540, 519, 9576, 3718, 282, 519, 2063, 1271, 1840, 547, 519, 3844, 2852, 5656, 729, 519, 5441, 7732, 267, 538, 519, 5045, 2039, 540, 519, 27972, 3563, 267, 476, 15094, 276, 1700, 3066, 267, 676, 7338, 18007, 1633, 269, 898, 814, 513, 1271, 4015, 540, 2835, 543, 22251, 269, 769, 519, 476, 866, 628, 2540, 267, 519, 4056, 3627, 26396, 12789, 2968, 5619, 528, 547, 661, 2023, 267, 646, 2966, 1715, 29844, 267, 3038, 739, 14731, 32095, 326, 5459, 781, 1840, 547, 1683, 1732, 22098, 585, 1908, 7970, 267, 945, 2394, 1185, 5030, 538, 7043, 25679, 267, 513, 1279, 535, 454, 763, 3703, 1004, 267, 610, 519, 2826, 976, 267, 616, 519, 4961, 540, 519, 2136, 8003, 540, 4279, 6628, 543, 8832, 8581, 267, 519, 3703, 744, 2091, 553, 17197, 1559, 267, 519, 22477, 29444, 269, 3703, 22874, 1876, 1754, 985, 2413, 3703, 15114, 543, 22874, 267, 799, 666, 581, 9715, 267, 585, 3236, 267, 676, 16350, 689, 3703, 4182, 1023, 282, 950, 1031, 538, 513, 3140, 2796, 267, 834, 23873, 257, 610, 834, 19322, 976, 257, 666, 3277, 547, 519, 22469, 2826, 976, 267, 519, 6805, 11317, 540, 4279, 6628, 543, 2826, 339, 1415, 267, 4171, 17005, 2818, 616, 519, 2413, 21730, 1004, 267, 12397, 880, 1004, 267, 645, 4958, 976, 269, 898, 949, 3277, 547, 4961, 540, 519, 5449, 3703, 7276, 269, 9282, 2038, 7682, 687, 540, 1373, 3703, 4266, 689, 519, 17623, 5664, 12698, 267, 519, 5137, 540, 519, 8003, 540, 4279, 6628, 538, 476, 10204, 278, 15427, 513, 2631, 540, 3703, 3084, 3961, 282, 519, 10206, 540, 3703, 1145, 729, 585, 3022, 1282, 519, 16486, 4577, 12668, 1063, 6628, 543, 519, 3689, 3943, 7276, 267, 2919, 2417, 1282, 519, 16972, 5736, 269, 634, 1950, 1686, 540, 519, 5250, 540, 519, 2136, 8003, 2813, 513, 834, 4820, 7781, 2631, 540, 4182, 3125, 543, 10362, 257, 538, 4279, 6628, 543, 8581, 563, 10303, 540, 32618, 2802, 7224, 268, 4167, 4115, 15523, 267, 3703, 3961, 538, 8832, 8581, 568, 11786, 267, 855, 621, 568, 4371, 609, 2178, 24235, 676, 5742, 1235, 269, 7073, 2826, 976, 616, 26731, 689, 519, 9867, 6803, 2516, 602, 12306, 538, 519, 3703, 1772, 956, 538, 543, 1354, 519, 476, 1556, 628, 2540, 281, 2776, 18856, 267, 4936, 267, 17454, 29509, 543, 11870, 753, 282, 519, 11636, 2797, 796, 2305, 540, 519, 3703, 1772, 956, 19658, 9194, 543, 10409, 5385, 267, 954, 3405, 5846, 1063, 519, 9082, 540, 4789, 543, 12986, 1282, 519, 3735, 5664, 12698, 267, 2038, 2413, 1974, 543, 3564, 269, 4595, 476, 4572, 273, 543, 4505, 267, 972, 814, 1044, 11776, 547, 519, 2136, 8003, 676, 1004, 689, 1018, 568, 1631, 519, 6243, 540, 8581, 267, 519, 20448, 267, 22163, 2342, 543, 11992, 282, 519, 3703, 616, 513, 3309, 267, 29505, 543, 1617, 13308, 2486, 267, 609, 834, 17641, 6237, 31126, 543, 9163, 2668, 634, 1514, 2497, 540, 519, 2136, 8003, 814, 4957, 32753, 2094, 519, 476, 866, 628, 2540, 267, 609, 513, 7771, 538, 3909, 2616, 766, 267, 23822, 618, 540, 519, 1647, 1362, 267, 2799, 6803, 4763, 2094, 519, 476, 4198, 271, 338, 563, 763, 2551, 540, 519, 5177, 6763, 693, 1472, 476, 5780, 2929, 267, 609, 513, 3703, 29563, 540, 1472, 476, 9610, 2929, 13671, 538, 5245, 543, 1715, 10215, 267, 609, 4130, 9830, 538, 519, 2136, 2276, 267, 6243, 540, 8581, 267, 3162, 4000, 543, 2694, 540, 519, 12144, 269, 634, 9998, 1634, 4704, 547, 519, 11317, 540, 4279, 6628, 949, 723, 2097, 689, 476, 275, 628, 2540, 7460, 5638, 540, 519, 22116, 540, 12877, 1492, 553, 267, 513, 5259, 2520, 19212, 945, 1500, 513, 22116, 540, 3408, 1472, 519, 3703, 1772, 956, 269, 4014, 9039, 540, 1010, 1378, 12591, 2611, 267, 5830, 1282, 519, 942, 540, 519, 4936, 7276, 1500, 1454, 4704, 547, 873, 269, 12877, 1492, 553, 1572, 519, 10195, 15217, 14668, 413, 376, 365, 3852, 496, 16708, 15770, 16483, 16483, 10382, 14832, 29111, 10382, 15403, 267, 12261, 607, 519, 2826, 11927, 545, 1772, 956, 267, 519, 9082, 540, 1018, 616, 2221, 4789, 267, 12986, 543, 519, 1772, 548, 540, 2494, 540, 2776, 1777, 534, 833, 941, 1572, 519, 3852, 510, 16708, 15770, 16483, 16483, 10382, 14832, 14267, 29111, 267, 623, 761, 8643, 610, 23239, 8643, 282, 519, 1895, 3769, 8581, 267, 5219, 547, 607, 594, 518, 928, 834, 514, 4725, 1243, 676, 519, 1114, 5198, 540, 670, 756, 1716, 328, 2580, 6628, 607, 1202, 3121, 19186, 542, 636, 267, 834, 529, 1633, 540, 519, 19186, 687, 2668, 634, 2165, 623, 761, 8643, 949, 723, 6603, 12877, 1492, 553, 689, 519, 717, 4954, 338, 267, 945, 1031, 621, 607, 741, 2165, 585, 519, 11317, 540, 519, 10195, 563, 31528, 543, 4936, 5830, 267, 538, 519, 476, 272, 560, 2540, 7460, 543, 519, 476, 272, 560, 2540, 5084, 267, 2012, 519, 11317, 540, 4279, 6628, 543, 8581, 607, 519, 623, 761, 523, 328, 267, 519, 5169, 540, 519, 5824, 2262, 2826, 28839, 269, 898, 814, 1044, 6700, 602, 713, 2012, 24283, 689, 513, 717, 4954, 880, 6609, 12261, 607, 834, 15161, 540, 519, 3029, 2580, 13288, 547, 519, 2688, 540, 21003, 21749, 610, 7206, 741, 4703, 609, 4544, 530, 1933, 1500, 689, 1772, 15384, 17646, 2758, 807, 269, 3487, 1156, 3780, 267, 513, 476, 272, 560, 10601, 9147, 5259, 6121, 332, 4115, 267, 519, 661, 1399, 332, 11043, 636, 2637, 340, 25177, 267, 513, 476, 280, 628, 10601, 30827, 679, 9871, 320, 4215, 267, 2446, 513, 26704, 1915, 645, 4958, 2335, 639, 607, 519, 4651, 540, 595, 3881, 710, 267, 3993, 540, 595, 3881, 639, 267, 519, 3134, 11345, 22660, 540, 519, 22966, 1206, 269, 1635, 476, 2004, 7460, 5259, 2520, 20802, 941, 1210, 5973, 757, 540, 2776, 1777, 534, 1731, 25207, 607, 513, 7104, 2012, 585, 519, 3703, 1772, 956, 269, 1717, 267, 609, 519, 4936, 21037, 540, 6628, 519, 5824, 2165, 2826, 2335, 807, 729, 1031, 585, 519, 6532, 540, 4279, 6628, 267, 4936, 268, 31039, 6628, 5045, 540, 2836, 539, 8205, 267, 4352, 519, 1004, 540, 2836, 539, 8205, 543, 519, 5087, 941, 519, 1582, 1482, 2826, 976, 1282, 519, 4936, 1974, 267, 519, 12821, 1564, 21945, 2185, 5553, 2663, 563, 16729, 519, 1439, 540, 4936, 4341, 538, 6628, 267, 519, 6532, 540, 4279, 6628, 729, 2451, 1930, 547, 12289, 676, 25384, 267, 13837, 2130, 21847, 971, 607, 27272, 18702, 17454, 4149, 1314, 976, 543, 808, 2373, 689, 25550, 2342, 267, 945, 6591, 1852, 538, 2127, 1472, 519, 5045, 7532, 267, 547, 5664, 9721, 18702, 1004, 4955, 7992, 689, 1018, 568, 2221, 8832, 8581, 547, 519, 5087, 540, 4279, 6628, 267, 15713, 717, 6130, 545, 25267, 971, 607, 667, 5451, 331, 681, 328, 1092, 543, 1325, 9346, 267, 799, 1131, 7449, 2541, 519, 5065, 2826, 2023, 545, 543, 11625, 880, 25267, 543, 1831, 10430, 269, 769, 713, 1016, 7304, 2674, 6628, 267, 607, 17454, 29509, 2528, 3262, 2066, 7013, 543, 9456, 6628, 543, 717, 6130, 545, 998, 1454, 540, 519, 5087, 267, 519, 1629, 7716, 834, 19322, 517, 257, 2968, 11658, 547, 519, 2826, 2023, 545, 18702, 11317, 540, 1018, 1131, 581, 1572, 12986, 267, 3345, 4639, 4789, 267, 2694, 540, 10430, 971, 607, 5899, 7752, 7568, 267, 5651, 904, 10921, 543, 5899, 987, 322, 569, 1372, 269, 769, 1840, 519, 2165, 729, 4294, 547, 2826, 339, 1415, 538, 1018, 568, 2221, 5333, 543, 2826, 8205, 538, 5087, 7178, 8050, 267, 1312, 4525, 2348, 1044, 3935, 2213, 676, 2826, 976, 538, 519, 476, 276, 628, 2540, 7904, 4370, 519, 17454, 29509, 32042, 563, 24576, 540, 519, 774, 16824, 454, 763, 4107, 9147, 543, 4107, 32201, 11352, 540, 519, 774, 16824, 568, 606, 1931, 540, 669, 2526, 787, 2404, 609, 10430, 269, 634, 1699, 4528, 540, 519, 11352, 729, 8547, 538, 476, 12739, 278, 676, 3751, 6276, 23446, 540, 10430, 945, 7682, 539, 602, 646, 729, 2847, 1516, 606, 4505, 11352, 282, 519, 11352, 5161, 540, 519, 590, 30371, 793, 543, 28465, 12928, 2074, 543, 28247, 625, 267, 607, 1134, 607, 1978, 834, 2169, 571, 257, 29843, 269, 634, 590, 30371, 793, 4805, 14828, 15376, 540, 519, 11352, 282, 519, 11352, 781, 3119, 30118, 568, 519, 3084, 8768, 540, 10430, 269, 634, 2138, 1729, 568, 715, 655, 334, 803, 791, 2317, 22725, 612, 527, 282, 519, 1482, 2138, 1729, 5526, 593, 519, 9576, 3213, 520, 540, 1488, 916, 540, 519, 2136, 8003, 585, 946, 538, 10430, 543, 930, 11013, 11113, 267, 568, 519, 2138, 1729, 540, 519, 9576, 31118, 540, 10430, 267, 29703, 2871, 1841, 267, 634, 4563, 13772, 540, 4516, 543, 9576, 29703, 19537, 2998, 517, 2871, 1841, 269, 634, 19121, 23920, 540, 519, 11352, 568, 853, 12448, 269, 4107, 3703, 9753, 540, 669, 2526, 787, 3382, 519, 2898, 2136, 8003, 267, 855, 519, 1614, 1034, 608, 531, 1540, 3283, 1142, 829, 1555, 547, 835, 25499, 2197, 1152, 282, 519, 11352, 540, 519, 774, 16824, 267, 799, 25701, 547, 10430, 267, 568, 519, 2034, 2173, 739, 9972, 538, 9551, 775, 269, 4706, 6697, 538, 4789, 267, 634, 4107, 32201, 11352, 540, 519, 717, 6621, 267, 568, 519, 9510, 13006, 1931, 540, 669, 2526, 787, 538, 519, 2136, 8003, 267, 6580, 547, 519, 1647, 2185, 18818, 2540, 563, 1103, 476, 9965, 274, 606, 9721, 6697, 267, 634, 4107, 16503, 686, 748, 11352, 540, 853, 18536, 267, 729, 8547, 267, 855, 814, 1631, 15468, 26862, 269, 634, 3409, 602, 6276, 23446, 729, 2847, 1516, 606, 4505, 11352, 568, 711, 6462, 676, 519, 2963, 282, 519, 476, 12739, 278, 15549, 2829, 602, 1282, 519, 476, 4281, 277, 6370, 540, 16183, 331, 16330, 1030, 867, 609, 3331, 484, 1492, 331, 16330, 540, 5101, 4911, 20377, 267, 519, 3444, 540, 853, 12448, 7902, 538, 519, 6607, 547, 21926, 2967, 639, 267, 3751, 540, 29703, 269, 901, 4667, 12691, 269, 1323, 4244, 4528, 568, 602, 519, 11352, 729, 8547, 538, 476, 3199, 280, 547, 29428, 606, 19710, 1063, 21926, 2967, 639, 543, 14890, 4077, 12661, 27158, 267, 2943, 1776, 568, 7917, 519, 23745, 1128, 21114, 519, 1931, 1310, 1010, 11802, 693, 645, 2335, 1442, 14315, 538, 476, 14530, 275, 269, 4107, 12206, 2015, 519, 9998, 23674, 3409, 547, 581, 519, 15713, 540, 519, 11352, 676, 6276, 8633, 267, 1282, 519, 6957, 18818, 2540, 267, 646, 7550, 519, 555, 16824, 607, 519, 10424, 3983, 613, 267, 9783, 11113, 18995, 555, 30178, 543, 24705, 1042, 15376, 540, 519, 834, 24576, 540, 519, 8738, 337, 610, 901, 338, 559, 257, 593, 14731, 594, 540, 5333, 269, 1717, 267, 972, 568, 1100, 598, 5477, 2963, 585, 713, 269, 5675, 1472, 476, 14991, 279, 267, 3627, 15776, 2917, 4016, 547, 519, 1614, 4914, 9753, 540, 669, 2526, 787, 20077, 593, 519, 10766, 540, 6931, 331, 603, 26489, 20066, 267, 609, 6276, 966, 781, 610, 23788, 540, 853, 12448, 267, 1697, 547, 713, 4182, 563, 5278, 13677, 1931, 540, 669, 2526, 787, 949, 723, 11478, 1282, 519, 31303, 2540, 8547, 676, 6276, 966, 543, 1572, 519, 11352, 540, 853, 269, 12448, 267, 855, 561, 17863, 676, 519, 1439, 540, 602, 2540, 269, 6276, 23446, 9783, 5022, 14664, 834, 516, 341, 1516, 543, 19620, 519, 11352, 540, 519, 774, 16824, 547, 922, 2407, 18710, 543, 14996, 1890, 257, 593, 476, 3066, 2904, 476, 12739, 278, 267, 1010, 9837, 729, 547, 8007, 13677, 23597, 585, 741, 14017, 855, 519, 11036, 3357, 689, 3627, 267, 476, 272, 560, 23778, 543, 476, 272, 560, 15243, 924, 16099, 540, 631, 1409, 677, 14199, 540, 3557, 585, 10430, 269, 8307, 5216, 2818, 856, 540, 513, 2009, 12964, 941, 12912, 269, 2991, 6276, 729, 1244, 2216, 676, 519, 476, 12739, 279, 717, 3271, 1190, 7169, 543, 1100, 2417, 20499, 941, 1500, 2394, 1010, 7820, 8250, 14732, 1705, 865, 538, 476, 10204, 274, 267, 621, 3788, 538, 6228, 543, 568, 1031, 547, 21028, 29703, 262, 15367, 723, 4371, 1857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7207, 563, 3963, 568, 27405, 625, 2986, 3776, 10610, 12830, 547, 2974, 5405, 509, 454, 7069, 3122, 625, 540, 938, 1560, 616, 1271, 547, 721, 585, 1896, 4128, 912, 272, 269, 4197, 938, 4703, 281, 10289, 519, 13655, 540, 938, 1560, 2337, 721, 2744, 513, 1732, 1620, 540, 875, 938, 1560, 3252, 267, 922, 2497, 267, 543, 519, 5817, 3157, 269, 901, 1702, 568, 1898, 585, 4509, 1434, 1072, 543, 1818, 5483, 3664, 1644, 547, 938, 1134, 5630, 563, 273, 269, 7216, 7020, 543, 6604, 540, 3676, 281, 15766, 908, 519, 13655, 540, 938, 1560, 666, 1291, 547, 519, 8446, 540, 1007, 2589, 267, 3123, 267, 543, 1981, 2188, 585, 1585, 3676, 269, 901, 1702, 2337, 538, 519, 2038, 7020, 543, 6604, 540, 3676, 267, 5732, 9494, 2729, 543, 5355, 2949, 1072, 4093, 563, 274, 269, 21992, 906, 538, 2564, 5574, 281, 1635, 19586, 532, 519, 13655, 540, 938, 1560, 267, 3173, 543, 3744, 666, 1118, 1007, 8906, 602, 3565, 547, 519, 1646, 540, 5499, 2564, 5574, 543, 4066, 269, 901, 666, 1291, 547, 4824, 3782, 267, 1732, 2126, 3681, 267, 543, 8476, 2298, 540, 1272, 585, 2043, 563, 275, 269, 9608, 16882, 281, 4197, 938, 1560, 779, 13655, 16877, 721, 547, 1491, 5279, 540, 938, 1378, 1072, 543, 1134, 5630, 269, 898, 2636, 721, 547, 1118, 5483, 3664, 827, 6197, 5079, 267, 15324, 3800, 267, 543, 3782, 3681, 267, 7175, 721, 547, 1291, 8902, 543, 811, 16180, 2729, 563, 276, 269, 12472, 540, 3621, 1702, 281, 15766, 908, 519, 13655, 540, 938, 1560, 8309, 547, 519, 2949, 13120, 540, 3621, 1702, 269, 1452, 8906, 4228, 938, 1620, 540, 1480, 7350, 543, 17550, 267, 799, 666, 723, 6626, 6286, 585, 1585, 3621, 10459, 543, 7760, 538, 824, 4610, 563, 27407, 267, 19586, 532, 519, 13655, 540, 938, 1560, 568, 2629, 585, 938, 2123, 1134, 5630, 267, 519, 13120, 540, 2564, 2257, 267, 543, 519, 2949, 6454, 540, 3782, 4093, 563, 4462, 24286, 27405, 625, 2986, 3776, 10610, 689, 30941, 1546, 639, 454, 295, 27622, 1546, 639, 4985, 454, 295, 27622, 1546, 639, 281, 589, 16684, 3778, 540, 8751, 6563, 892, 676, 24204, 1998, 25424, 4498, 926, 12116, 519, 2104, 18330, 540, 30768, 543, 7710, 1018, 6013, 6619, 585, 8103, 269, 8490, 2390, 519, 2093, 4843, 538, 1010, 3105, 1433, 267, 968, 306, 777, 16772, 2223, 4498, 926, 13187, 602, 538, 519, 476, 2641, 560, 2540, 267, 3425, 786, 5912, 689, 1373, 7255, 609, 2596, 6668, 543, 20408, 9019, 547, 1007, 17050, 899, 9518, 1359, 23629, 1275, 543, 1140, 8724, 5601, 6438, 7060, 563, 763, 1433, 26195, 2888, 513, 2104, 538, 799, 3425, 685, 28735, 936, 519, 4541, 568, 8719, 676, 519, 4473, 540, 10995, 6620, 543, 3684, 1565, 269, 4498, 926, 7710, 875, 2029, 543, 1239, 12642, 786, 3337, 519, 1480, 1995, 267, 1519, 7760, 538, 3642, 267, 4719, 4702, 267, 543, 28892, 1480, 8186, 269, 1261, 7710, 519, 1764, 540, 891, 7835, 593, 519, 2757, 1480, 10305, 540, 9637, 267, 1863, 786, 267, 543, 23141, 563, 19604, 926, 12538, 883, 519, 1761, 4539, 540, 891, 2242, 267, 971, 607, 519, 4720, 540, 1007, 8789, 5049, 267, 2799, 8635, 267, 543, 519, 1761, 2530, 540, 2495, 543, 3483, 538, 1004, 779, 2729, 269, 1261, 849, 12116, 519, 5683, 21140, 602, 8451, 689, 519, 1007, 7060, 3425, 4865, 267, 1519, 5837, 2055, 827, 519, 5137, 543, 27327, 540, 1272, 563, 4407, 30941, 1546, 639, 6799, 2219, 4538, 2093, 827, 8103, 779, 2104, 267, 4498, 926, 849, 8711, 519, 2956, 540, 15819, 543, 9691, 7421, 519, 3310, 540, 2029, 543, 6620, 269, 1261, 13187, 602, 621, 568, 1898, 585, 2043, 547, 11677, 741, 13190, 543, 547, 4497, 538, 3742, 3375, 6194, 547, 3337, 519, 2104, 538, 513, 1259, 602, 20383, 609, 741, 2418, 543, 3741, 563, 14454, 267, 30941, 1546, 639, 3091, 513, 4101, 543, 7096, 3408, 540, 519, 7399, 602, 9114, 6619, 585, 30768, 607, 649, 3136, 593, 938, 1391, 585, 23629, 1275, 267, 5601, 6438, 7060, 267, 543, 519, 1761, 4220, 543, 12587, 602, 2097, 609, 891, 17050, 563, 7069, 3122, 625, 2986, 3776, 10610, 10613, 454, 1103, 519, 1433, 968, 295, 27622, 1546, 639, 892, 676, 24204, 1998, 25424, 4498, 926, 267, 519, 13655, 540, 938, 1560, 616, 711, 4481, 5941, 607, 519, 1433, 6212, 811, 593, 6626, 3584, 540, 1480, 1686, 543, 2104, 8846, 269, 1717, 267, 4498, 926, 1281, 5905, 2390, 1978, 3344, 540, 938, 4703, 543, 1072, 269, 3371, 616, 930, 2409, 543, 2035, 1644, 547, 938, 4703, 602, 616, 5018, 538, 519, 1433, 912, 272, 269, 18726, 7177, 281, 4498, 926, 11828, 519, 1761, 540, 4719, 4702, 543, 922, 1764, 593, 1480, 7350, 269, 1261, 12909, 827, 519, 7872, 540, 3425, 11049, 741, 1378, 6090, 547, 3986, 1978, 7592, 610, 9004, 3676, 563, 273, 269, 8056, 677, 1275, 543, 28544, 281, 4498, 926, 7710, 519, 1391, 585, 23629, 1275, 543, 1004, 779, 7287, 547, 7753, 10172, 543, 9019, 269, 1261, 19528, 519, 1382, 543, 7760, 538, 519, 2361, 540, 12908, 26585, 543, 519, 1761, 585, 1272, 10137, 563, 274, 269, 11020, 4211, 558, 13459, 28497, 281, 634, 1433, 18953, 2390, 519, 2856, 540, 8220, 938, 12058, 2047, 547, 5904, 267, 3850, 585, 8476, 5042, 5759, 543, 5732, 1256, 26399, 1480, 9637, 609, 5841, 4987, 563, 275, 269, 2657, 4578, 543, 16424, 281, 4498, 926, 11828, 519, 3395, 946, 540, 2029, 547, 2445, 5318, 5666, 540, 1072, 1239, 267, 1519, 28707, 3457, 543, 16335, 8924, 269, 1261, 7710, 519, 1761, 2640, 543, 4220, 2404, 609, 713, 2029, 267, 971, 607, 10531, 4915, 543, 1761, 32042, 540, 7834, 563, 276, 269, 15783, 585, 8376, 661, 2784, 1709, 281, 4498, 926, 11828, 519, 3356, 1500, 538, 16701, 21899, 3676, 2429, 1686, 267, 971, 607, 31847, 267, 543, 1179, 12885, 593, 519, 7872, 540, 14874, 824, 3676, 538, 519, 2104, 609, 7760, 538, 4915, 543, 2029, 563, 2005, 779, 1271, 547, 4063, 602, 1247, 891, 2035, 616, 5018, 538, 519, 1433, 267, 789, 616, 711, 519, 1292, 1445, 269, 968, 295, 27622, 1546, 639, 892, 5097, 7710, 519, 6626, 2055, 543, 6286, 540, 1480, 6228, 543, 519, 2591, 649, 949, 3068, 538, 519, 2104, 607, 938, 7207, 543, 4066, 3136, 547, 11457, 563, 295, 27622, 1546, 639, 30365, 454, 295, 27622, 1546, 639, 10530, 607, 5205, 912, 272, 269, 968, 24109, 753, 616, 4241, 1317, 540, 741, 10143, 7279, 267, 741, 3808, 1652, 7287, 547, 2263, 267, 2087, 267, 543, 16637, 3034, 273, 269, 968, 763, 2495, 540, 1272, 568, 711, 547, 581, 1336, 538, 1022, 2582, 1212, 539, 610, 16809, 267, 855, 538, 519, 18515, 547, 9784, 1689, 543, 10462, 3034, 274, 269, 968, 24109, 753, 616, 4742, 10971, 267, 18534, 12686, 519, 1158, 543, 2933, 538, 2081, 602, 941, 2899, 519, 12600, 6389, 540, 519, 10143, 3034, 275, 269, 968, 763, 6574, 19224, 548, 6849, 8103, 538, 519, 476, 2641, 560, 2540, 568, 711, 8635, 610, 6710, 267, 855, 519, 2702, 547, 1265, 2495, 543, 3483, 538, 513, 1158, 1141, 3425, 616, 1100, 3476, 519, 3844, 11051, 3034, 276, 269, 968, 763, 4473, 540, 2029, 814, 3366, 547, 519, 11761, 540, 2757, 2959, 540, 1480, 6392, 267, 581, 621, 4984, 267, 6214, 267, 610, 1256, 7350, 3034, 277, 269, 968, 5978, 1699, 31117, 609, 10804, 532, 1272, 568, 9141, 676, 513, 2620, 5498, 730, 4250, 540, 2669, 267, 543, 513, 24677, 540, 519, 21739, 13113, 2470, 540, 1480, 6228, 3034, 278, 269, 968, 1103, 519, 2104, 267, 6620, 786, 917, 721, 1732, 982, 649, 917, 6000, 267, 1818, 3664, 593, 938, 15773, 543, 5935, 938, 2729, 538, 2081, 649, 666, 1406, 1256, 535, 987, 558, 3034, 279, 269, 968, 763, 26399, 540, 3425, 543, 6191, 568, 17149, 267, 607, 2029, 3587, 606, 7533, 851, 540, 938, 7350, 543, 9637, 3034, 280, 269, 968, 763, 1379, 543, 1852, 936, 1239, 786, 581, 519, 10747, 6560, 540, 519, 476, 2641, 560, 2540, 267, 8159, 519, 535, 919, 540, 6082, 543, 2043, 7567, 3034, 1015, 269, 968, 763, 2104, 540, 8103, 6013, 538, 938, 2702, 547, 10244, 519, 10373, 1761, 540, 938, 8186, 543, 2029, 267, 1247, 849, 9301, 519, 2956, 540, 6568, 267, 8296, 267, 543, 5683, 3375, 6194, 3034, 5415, 7734, 6168, 30941, 1546, 639, 676, 24204, 1998, 25424, 4498, 926, 454, 272, 269, 590, 777, 16772, 281, 589, 16684, 3778, 540, 9966, 1678, 785, 892, 676, 24204, 1998, 25424, 4498, 926, 1107, 1306, 513, 24888, 547, 968, 295, 27622, 1546, 639, 2223, 4498, 926, 779, 968, 306, 777, 16772, 892, 2488, 513, 3102, 7650, 540, 1480, 1686, 267, 18167, 883, 519, 5042, 267, 1514, 267, 543, 3621, 7835, 602, 8032, 30941, 18682, 16772, 883, 519, 8789, 2249, 593, 3047, 269, 901, 1433, 23933, 519, 5748, 585, 519, 6436, 543, 2093, 8268, 2417, 538, 968, 295, 27622, 1546, 639, 3034, 273, 269, 634, 8682, 880, 22319, 892, 676, 9400, 29861, 9469, 1107, 769, 968, 295, 27622, 1546, 639, 2223, 4498, 926, 12116, 519, 1909, 540, 6620, 543, 1239, 538, 519, 2104, 540, 1480, 4720, 269, 968, 763, 8682, 880, 22319, 892, 7710, 513, 2147, 2856, 855, 689, 513, 6211, 29459, 267, 7234, 519, 1582, 29027, 540, 6090, 538, 6117, 12105, 3157, 269, 29861, 9469, 685, 1433, 10578, 569, 12211, 11976, 547, 1480, 2623, 267, 7700, 3407, 4030, 883, 519, 2856, 540, 1480, 4720, 543, 519, 1761, 6286, 4843, 538, 968, 295, 27622, 1546, 639, 563, 274, 269, 4208, 13221, 1772, 6936, 892, 676, 7917, 19159, 1107, 4498, 926, 779, 960, 538, 968, 295, 27622, 1546, 639, 892, 18953, 2390, 519, 2470, 540, 8788, 543, 519, 1480, 1391, 585, 1543, 618, 269, 769, 513, 2219, 4538, 6073, 267, 968, 3963, 13221, 1772, 6936, 892, 7710, 519, 3741, 543, 2853, 540, 13221, 602, 3986, 2123, 1134, 5630, 543, 5626, 2208, 269, 901, 1433, 22851, 609, 519, 4798, 540, 6418, 4708, 543, 1620, 519, 1582, 267, 5356, 513, 14911, 5133, 547, 4498, 926, 779, 3408, 540, 1480, 4276, 543, 20106, 563, 275, 269, 968, 3963, 1284, 12619, 892, 676, 15623, 21701, 1107, 12619, 4249, 606, 7533, 1909, 538, 938, 2729, 267, 12018, 3875, 3344, 540, 938, 2168, 543, 2790, 1134, 5630, 269, 769, 968, 295, 27622, 1546, 639, 2223, 4498, 926, 26342, 519, 2956, 540, 3207, 607, 606, 7533, 851, 540, 938, 6228, 269, 968, 3963, 1284, 12619, 892, 12538, 883, 519, 2257, 3297, 3207, 267, 10223, 922, 2640, 543, 3246, 4030, 883, 519, 4539, 540, 3207, 22975, 269, 21701, 779, 1433, 27862, 519, 1620, 540, 519, 1480, 1560, 543, 922, 4909, 2115, 267, 6038, 7700, 547, 519, 3408, 540, 1480, 1761, 640, 5941, 538, 968, 295, 27622, 1546, 639, 3034, 276, 269, 968, 295, 1952, 1465, 281, 589, 6651, 547, 15043, 5020, 779, 4107, 12830, 31853, 892, 676, 4223, 628, 24586, 26548, 731, 1107, 10801, 968, 295, 27622, 1546, 639, 2223, 4498, 926, 14719, 919, 519, 2104, 540, 8788, 543, 2055, 2436, 7760, 538, 2029, 786, 3142, 721, 6251, 547, 713, 21792, 1533, 269, 968, 295, 1952, 1465, 892, 3091, 513, 14418, 5133, 593, 4466, 1543, 618, 543, 7772, 538, 1272, 267, 5466, 2409, 540, 14237, 8296, 267, 11009, 267, 543, 824, 7907, 602, 3565, 547, 1134, 5630, 269, 26548, 731, 779, 10752, 1683, 4052, 4030, 1247, 8716, 3988, 547, 2992, 593, 741, 1378, 2619, 2509, 8788, 267, 1818, 621, 513, 17501, 3408, 547, 13173, 4498, 926, 779, 2484, 23568, 2093, 538, 968, 295, 27622, 1546, 639, 3034, 8624, 937, 1947, 267, 713, 5542, 540, 2835, 1303, 342, 1149, 1114, 10459, 543, 5380, 547, 2417, 2263, 519, 8903, 2035, 4843, 538, 968, 295, 27622, 1546, 639, 1848, 1635, 18167, 883, 519, 5169, 540, 30768, 267, 519, 6211, 13210, 540, 2623, 267, 14418, 6138, 267, 519, 17550, 540, 3207, 267, 543, 519, 13287, 540, 8788, 267, 891, 2835, 3986, 543, 4228, 2390, 519, 2219, 4538, 4798, 6659, 676, 24204, 1998, 25424, 4498, 926, 269, 0, 30942, 16821, 543, 27707, 29878, 10515, 559, 582, 616, 3532, 3642, 630, 25369, 4987, 264, 2645, 267, 855, 789, 616, 2919, 8335, 609, 1114, 946, 2013, 7653, 269, 4014, 1312, 666, 948, 3755, 2328, 3009, 1360, 7561, 543, 1683, 3009, 12612, 267, 789, 616, 2966, 609, 1114, 703, 757, 543, 1114, 7207, 269, 1809, 547, 1174, 799, 835, 568, 1655, 14018, 585, 707, 2115, 282, 596, 1101, 991, 547, 1174, 519, 3604, 1063, 873, 563, 4407, 19208, 568, 513, 1863, 543, 10169, 20902, 782, 2987, 14633, 1826, 540, 3642, 3070, 585, 782, 12204, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 625, 269, 1809, 1287, 3357, 606, 6397, 4161, 780, 2026, 594, 683, 1563, 519, 4627, 628, 1665, 267, 11784, 1305, 538, 282, 1100, 1625, 1255, 7902, 269, 16874, 1250, 9273, 2848, 1229, 803, 4636, 286, 12984, 713, 1175, 1776, 3552, 979, 846, 29677, 286, 3733, 2295, 521, 1678, 2394, 10393, 267, 15112, 11244, 569, 267, 594, 4362, 8668, 910, 513, 10875, 13711, 2185, 6122, 11232, 15720, 538, 10750, 8289, 269, 1656, 936, 519, 1985, 5662, 267, 594, 1336, 8938, 21144, 811, 256, 898, 7140, 856, 1250, 4505, 16759, 22821, 1405, 8959, 803, 1310, 782, 780, 1607, 1995, 6026, 803, 1079, 3407, 4245, 269, 17616, 267, 2760, 2285, 909, 1932, 4166, 267, 2523, 950, 13197, 707, 18653, 269, 19627, 267, 3006, 938, 10054, 991, 556, 24834, 6672, 1317, 4641, 666, 9983, 721, 538, 17175, 2081, 269, 769, 713, 2013, 267, 2470, 4956, 547, 12235, 513, 2370, 7455, 4252, 267, 26460, 803, 609, 606, 3606, 26497, 1282, 1250, 1391, 269, 3767, 8164, 1272, 6799, 3294, 607, 1412, 3667, 1504, 10086, 594, 3314, 602, 12341, 1369, 922, 3515, 19179, 1080, 519, 7772, 540, 12423, 519, 9058, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 24685, 513, 2361, 540, 476, 4335, 804, 13569, 267, 476, 736, 260, 723, 2185, 3762, 543, 835, 10116, 540, 891, 616, 13711, 804, 13569, 269, 32114, 891, 17114, 616, 4010, 2953, 267, 875, 1082, 804, 13569, 538, 519, 2361, 616, 1312, 13711, 543, 2185, 6122, 8491, 888, 736, 260, 540, 476, 4335, 804, 13569, 723, 2185, 3762, 267, 865, 476, 736, 270, 1911, 2608, 476, 4335, 815, 476, 1911, 804, 13569, 723, 2185, 3762, 563, 3080, 10116, 540, 891, 2185, 6122, 2378, 804, 13569, 616, 13711, 267, 865, 476, 272, 270, 275, 2608, 476, 1911, 815, 476, 1839, 804, 13569, 616, 13711, 543, 2185, 6122, 8491, 563, 11997, 267, 972, 616, 476, 1839, 804, 13569, 538, 519, 2361, 602, 616, 1312, 13711, 543, 2185, 6122, 8491, 563, 2971, 476, 1839, 454, 763, 2626, 568, 281, 476, 1839, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31102, 476, 3607, 279, 630, 4817, 274, 272, 2567, 19442, 268, 280, 563, 1428, 269, 681, 643, 328, 10314, 808, 297, 267, 12891, 19789, 590, 267, 670, 7398, 345, 667, 267, 3794, 9476, 518, 570, 267, 11831, 629, 534, 8566, 559, 918, 267, 22398, 2917, 918, 1696, 620, 269, 630, 1220, 277, 264, 6657, 9936, 281, 10368, 4879, 540, 519, 1126, 609, 4567, 3134, 850, 10364, 639, 630, 534, 2963, 2861, 2689, 2567, 1867, 540, 519, 10866, 11621, 4427, 1260, 2466, 6590, 540, 519, 1977, 9142, 540, 27096, 344, 543, 519, 6657, 9730, 540, 519, 4132, 27096, 344, 5980, 269, 27096, 344, 476, 6858, 630, 280, 2567, 15150, 273, 268, 2004, 563, 1626, 269, 918, 4669, 345, 623, 267, 12390, 2378, 344, 918, 288, 267, 1849, 320, 817, 523, 808, 630, 1220, 280, 264, 23120, 661, 9680, 5464, 281, 568, 621, 4712, 585, 6305, 942, 286, 4354, 337, 25709, 7600, 5516, 476, 1428, 630, 273, 2567, 4200, 268, 11820, 563, 1704, 269, 4427, 21353, 342, 18081, 589, 267, 670, 24175, 21191, 267, 1284, 14852, 590, 267, 13852, 631, 297, 630, 1220, 280, 264, 4856, 21975, 540, 19548, 14033, 19899, 14518, 21655, 630, 322, 301, 7644, 306, 264, 543, 14715, 12508, 538, 9691, 2192, 1453, 269, 11671, 322, 761, 5516, 476, 1015, 630, 272, 2567, 15782, 268, 3374, 563, 1240, 269, 8845, 25846, 267, 29817, 698, 29482, 267, 3026, 6807, 645, 294, 630, 1960, 280, 264, 11370, 764, 531, 4571, 1794, 565, 600, 543, 6439, 531, 546, 27927, 788, 600, 585, 2126, 540, 12675, 17465, 538, 6689, 543, 18273, 281, 513, 4351, 2213, 4693, 269, 31102, 476, 31874, 630, 280, 1428, 274, 2567, 277, 2537, 268, 277, 563, 866, 269, 8614, 2335, 564, 623, 312, 267, 22748, 2280, 661, 267, 8575, 25005, 16927, 978, 12534, 631, 267, 2983, 327, 686, 631, 267, 808, 583, 17844, 589, 267, 1546, 30358, 570, 630, 1960, 280, 264, 5851, 543, 6413, 2126, 540, 8650, 17465, 538, 1453, 609, 17725, 4571, 1794, 565, 600, 269, 20195, 808, 14529, 2664, 520, 337, 3026, 340, 1503, 476, 274, 630, 273, 2567, 10463, 268, 278, 563, 2641, 269, 11197, 2023, 681, 267, 5839, 548, 617, 590, 267, 6742, 1633, 570, 630, 1220, 279, 264, 10684, 2359, 585, 8650, 512, 4577, 12641, 4577, 5996, 6160, 687, 1519, 5996, 14601, 4567, 3134, 850, 10364, 639, 538, 1453, 269, 3213, 577, 8735, 18482, 5204, 560, 4860, 630, 274, 2567, 7374, 9826, 3445, 276, 563, 2420, 269, 11197, 2023, 681, 267, 5839, 548, 617, 590, 267, 6742, 1633, 570, 269, 10684, 2359, 585, 8650, 512, 4577, 12641, 4577, 5996, 6160, 687, 1519, 5996, 14601, 4567, 3134, 850, 10364, 639, 538, 1453, 269, 3213, 577, 8735, 18482, 5204, 560, 269, 4860, 269, 476, 1220, 279, 7325, 476, 1626, 282, 263, 274, 7565, 274, 2567, 7374, 9826, 3445, 276, 563, 2537, 269, 2398, 553, 611, 589, 267, 5261, 5459, 808, 300, 267, 26450, 1090, 661, 295, 630, 1220, 273, 264, 26263, 984, 16808, 1388, 543, 631, 298, 268, 3199, 272, 267, 855, 711, 4307, 344, 1729, 514, 267, 2087, 519, 1279, 3856, 6364, 540, 4567, 3134, 850, 10364, 639, 269, 7788, 3026, 340, 1503, 476, 7906, 630, 273, 2567, 11260, 268, 10037, 563, 2190, 269, 7066, 27332, 20336, 267, 2725, 14636, 19113, 267, 9546, 2023, 12924, 267, 19811, 808, 293, 267, 2051, 1782, 595, 267, 18007, 534, 589, 297, 1696, 620, 269, 630, 1960, 279, 264, 589, 6476, 540, 2185, 5574, 585, 20902, 5996, 14601, 4567, 3134, 850, 10364, 639, 269, 27851, 16457, 21073, 9210, 850, 10364, 639, 31913, 5530, 6828, 269, 715, 1621, 331, 808, 2405, 476, 26552, 630, 1321, 2567, 8064, 273, 268, 279, 563, 1839, 269, 12070, 916, 327, 32231, 808, 300, 267, 8709, 3541, 32240, 23404, 267, 25532, 1069, 2335, 590, 267, 20913, 26856, 17834, 267, 13332, 2006, 631, 630, 1001, 271, 264, 1763, 26443, 3797, 609, 1164, 1673, 846, 5711, 4307, 984, 541, 4226, 821, 15205, 585, 18195, 800, 4567, 3134, 850, 10364, 639, 269, 808, 14529, 2664, 520, 337, 4132, 2657, 476, 5379, 630, 272, 268, 273, 2567, 1704, 268, 2420, 563, 2918, 269, 5204, 539, 26838, 267, 1744, 12609, 24766, 267, 14175, 320, 681, 298, 630, 2735, 277, 264, 24103, 758, 27282, 540, 4307, 984, 541, 4226, 821, 538, 3940, 1648, 22926, 269, 8061, 24103, 565, 14562, 476, 280, 630, 276, 2567, 28766, 268, 2420, 563, 2767, 269, 962, 338, 6390, 31179, 267, 3647, 1074, 28047, 267, 18548, 577, 674, 295, 267, 700, 1678, 3873, 541, 717, 267, 8709, 590, 5282, 21191, 630, 1220, 271, 264, 17327, 6915, 822, 22355, 540, 4307, 984, 16808, 1388, 281, 513, 6476, 540, 513, 3070, 538, 3733, 341, 659, 564, 476, 280, 268, 5400, 267, 513, 20022, 267, 543, 513, 16979, 269, 14997, 2622, 2233, 476, 2420, 630, 273, 2567, 6858, 268, 10170, 563, 2764, 269, 19300, 514, 631, 267, 9093, 5995, 16671, 267, 29385, 23834, 267, 681, 643, 328, 10314, 808, 297, 630, 1220, 274, 264, 1160, 14075, 539, 2126, 585, 8650, 31916, 18195, 800, 4567, 3134, 850, 10364, 639, 281, 6364, 538, 1453, 269, 27096, 344, 476, 8618, 630, 274, 2567, 4375, 279, 268, 25002, 563, 3066, 269, 25347, 578, 674, 267, 1488, 345, 27332, 13709, 537, 589, 267, 645, 4954, 659, 631, 630, 1220, 273, 264, 10765, 7835, 538, 2126, 540, 4567, 3134, 850, 10364, 639, 281, 513, 2689, 269, 9210, 850, 10364, 2598, 867, 476, 275, 4675, 331, 476, 273, 630, 2567, 306, 6078, 268, 7906, 563, 1789, 269, 15917, 20076, 918, 267, 14642, 11867, 631, 267, 589, 8811, 4673, 631, 267, 594, 345, 26619, 570, 267, 7937, 1206, 26854, 962, 267, 670, 698, 514, 30377, 918, 1696, 620, 269, 630, 1220, 278, 264, 661, 24351, 540, 32326, 4571, 1794, 565, 600, 585, 4567, 3134, 850, 10364, 639, 538, 6689, 269, 623, 2664, 520, 337, 3026, 340, 1503, 476, 3607, 630, 277, 2567, 3607, 277, 268, 7761, 563, 4029, 269, 700, 2086, 514, 19294, 267, 667, 1251, 523, 5622, 589, 267, 30340, 4802, 11022, 267, 15636, 974, 589, 267, 2274, 743, 2075, 674, 267, 30080, 9109, 590, 630, 1001, 271, 264, 1496, 8196, 540, 4571, 1794, 565, 600, 585, 18195, 800, 4567, 3134, 850, 10364, 639, 538, 1453, 4940, 4860, 3026, 340, 1503, 630, 13640, 529, 264, 476, 14917, 630, 277, 268, 278, 2567, 277, 4366, 268, 7367, 563, 3953, 269, 595, 3863, 5112, 9215, 267, 27508, 654, 294, 267, 12551, 2006, 700, 306, 267, 10965, 617, 24124, 22804, 630, 2735, 279, 264, 15020, 30041, 1673, 846, 4307, 984, 16808, 1388, 585, 18195, 800, 4567, 3134, 850, 10364, 639, 538, 1453, 269, 27096, 344, 476, 4343, 630, 278, 2567, 9818, 276, 268, 2412, 563, 3451, 269, 1546, 310, 6504, 324, 808, 299, 267, 5700, 331, 2023, 25846, 267, 2142, 553, 2917, 24211, 267, 595, 1993, 1752, 590, 267, 674, 4381, 661, 267, 7799, 10972, 19364, 630, 1220, 280, 264, 15214, 2459, 517, 8598, 1739, 32326, 1130, 2889, 622, 15205, 269, 9210, 17952, 1763, 476, 5952, 630, 272, 2567, 4792, 268, 10170, 563, 3374, 269, 17664, 31899, 589, 302, 267, 645, 668, 7615, 661, 289, 630, 1220, 276, 264, 661, 24351, 540, 4028, 10001, 7245, 540, 1130, 2889, 545, 3679, 585, 4567, 3134, 850, 10364, 639, 269, 27096, 344, 476, 4792, 630, 274, 2567, 4335, 268, 272, 282, 2278, 16253, 476, 4335, 268, 272, 563, 3607, 269, 17340, 2006, 328, 645, 293, 267, 17786, 335, 11581, 267, 28270, 8643, 590, 267, 14076, 629, 670, 630, 1220, 280, 264, 10020, 540, 32326, 682, 557, 16210, 2350, 564, 600, 538, 8650, 23069, 2359, 540, 1453, 269, 623, 2664, 520, 337, 3026, 340, 1503, 476, 6078, 630, 272, 2567, 4391, 268, 280, 563, 4391, 269, 2806, 754, 22085, 267, 3933, 330, 32518, 267, 700, 32218, 29382, 267, 667, 29888, 657, 29382, 630, 1220, 280, 264, 2271, 571, 27281, 682, 557, 16210, 2350, 564, 600, 538, 9691, 2192, 1453, 609, 4567, 3134, 850, 10364, 639, 610, 8650, 16625, 17465, 269, 623, 2664, 520, 337, 7600, 5516, 2405, 476, 1015, 630, 275, 2567, 31746, 268, 1015, 563, 4343, 269, 12070, 916, 327, 32231, 808, 300, 267, 13053, 10911, 630, 1220, 276, 264, 2060, 9526, 531, 540, 4587, 1884, 6625, 341, 6160, 1218, 585, 2359, 540, 4567, 3134, 850, 10364, 639, 281, 6286, 585, 4199, 1790, 3233, 2477, 269, 8061, 2405, 4132, 3026, 340, 1503, 476, 5325, 630, 275, 2567, 25546, 563, 4375, 269, 631, 770, 337, 32109, 631, 267, 22966, 6737, 589, 630, 1001, 273, 264, 26616, 960, 5346, 543, 9354, 3681, 538, 2359, 540, 12963, 4567, 3134, 850, 10364, 639, 269, 2622, 808, 623, 2664, 520, 337, 476, 279, 630, 273, 2567, 11820, 268, 1428, 563, 2412, 269, 2622, 2657, 25944, 630, 1001, 276, 267, 4924, 476, 1556, 1040, 4165, 773, 335, 850, 10364, 5061, 585, 8650, 5996, 14601, 17465, 610, 4567, 3134, 850, 10364, 639, 538, 4079, 543, 1453, 269, 8158, 689, 5291, 2517, 4178, 269, 15367, 269, 842, 270, 11365, 318, 8234, 8276, 327, 326, 777, 270, 5271, 2064, 270, 788, 17952, 270, 336, 273, 19841, 13045, 6078, 269, 2622, 2657, 25944, 269, 630, 1001, 276, 267, 4924, 476, 1556, 1040, 14959, 7844, 700, 1235, 540, 12708, 5709, 1149, 269, 8158, 689, 5291, 2517, 4178, 269, 15367, 269, 842, 270, 4364, 545, 1149, 9706, 3016, 725, 270, 24207, 4364, 545, 1149, 19841, 27651, 11258, 454, 29241, 713, 2376, 607, 281, 12070, 916, 327, 32231, 808, 300, 12727, 5004, 540, 5753, 609, 21073, 9210, 850, 10364, 639, 269, 808, 2975, 2793, 476, 1001, 276, 476, 1428, 281, 10441, 269, 20396, 281, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10082, 2190, 10768, 545, 3534, 269, 1001, 276, 269, 10441, 0, 7818, 25171, 7742, 277, 3607, 279, 630, 19491, 3055, 1433, 264, 476, 25171, 7742, 277, 3607, 277, 630, 19491, 3055, 1433, 264, 476, 7818, 25171, 279, 4281, 280, 3451, 279, 476, 25171, 279, 4281, 280, 3451, 276, 454, 763, 1034, 1271, 2916, 6876, 538, 1686, 267, 519, 8303, 15716, 593, 8693, 7827, 4564, 519, 7029, 540, 519, 6082, 540, 519, 1158, 547, 2232, 543, 26193, 2916, 1689, 269, 6178, 539, 538, 5412, 476, 1001, 276, 267, 621, 786, 2097, 883, 3196, 593, 519, 476, 275, 628, 5437, 267, 543, 3646, 4724, 16180, 922, 16529, 3853, 616, 2907, 896, 1259, 269, 634, 8303, 8693, 15716, 281, 19410, 776, 543, 5811, 10905, 513, 3102, 3656, 813, 26150, 543, 16472, 540, 519, 1007, 15716, 609, 513, 4052, 543, 11295, 16555, 547, 782, 922, 15080, 269, 3487, 594, 11828, 519, 2489, 2796, 585, 519, 8303, 15716, 267, 24223, 519, 3621, 267, 2797, 267, 543, 1514, 10256, 3297, 621, 267, 3246, 606, 7650, 540, 519, 840, 25365, 12512, 267, 543, 9477, 519, 1686, 540, 519, 16395, 269, 898, 12116, 519, 4720, 540, 1883, 2035, 971, 607, 1455, 855, 21630, 9021, 267, 543, 9382, 519, 3656, 1106, 540, 519, 15716, 543, 519, 2470, 540, 922, 14074, 269, 3487, 4083, 13408, 1367, 11271, 593, 1142, 9137, 540, 519, 15716, 267, 609, 2143, 16555, 540, 519, 14074, 799, 8711, 3844, 3344, 689, 519, 27410, 1686, 543, 519, 3656, 2470, 540, 519, 13800, 563, 289, 9560, 2762, 267, 3092, 269, 8074, 454, 1103, 11079, 12190, 7240, 8100, 543, 4994, 563, 19445, 11711, 18567, 454, 13126, 540, 13517, 454, 19530, 4528, 2594, 563, 13510, 9005, 538, 4033, 4813, 454, 19530, 4528, 281, 8303, 2916, 6876, 269, 5811, 543, 16555, 269, 10228, 2433, 10228, 2160, 4964, 476, 1001, 278, 0, 7818, 32146, 276, 4391, 30589, 279, 2182, 3724, 476, 32146, 276, 4391, 30589, 276, 2182, 3724, 476, 7818, 13670, 14862, 271, 4391, 277, 630, 324, 26247, 994, 29378, 9082, 543, 519, 1876, 630, 305, 719, 1578, 630, 293, 3305, 4917, 10907, 1484, 519, 8608, 267, 972, 616, 3875, 1806, 540, 21308, 267, 735, 9711, 267, 610, 824, 7858, 7007, 11650, 602, 1199, 5573, 3347, 1063, 7087, 9082, 543, 2829, 610, 3936, 2401, 2950, 269, 12344, 519, 1655, 1634, 540, 891, 267, 1715, 10215, 781, 15521, 540, 27016, 30231, 568, 513, 2713, 267, 543, 13840, 3638, 267, 14745, 540, 713, 2010, 540, 7858, 7007, 6876, 267, 543, 1312, 519, 1623, 5471, 1845, 543, 12623, 5471, 1845, 540, 7087, 268, 13750, 1894, 269, 901, 4015, 18589, 1127, 519, 14046, 543, 1857, 11407, 11341, 547, 519, 15521, 540, 27016, 30231, 543, 2306, 513, 1713, 9295, 547, 519, 3486, 4901, 540, 7087, 268, 13750, 1894, 543, 21047, 269, 634, 3594, 538, 713, 4015, 2263, 519, 4763, 540, 10096, 602, 723, 1044, 607, 8282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6516, 282, 835, 540, 519, 3670, 4330, 538, 570, 656, 6652, 563, 32056, 22133, 3029, 281, 476, 5953, 329, 10722, 5953, 322, 752, 1090, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 28440, 11165, 1916, 384, 478, 329, 10722, 5953, 322, 31518, 568, 513, 16130, 7623, 9967, 540, 519, 2474, 476, 5953, 329, 10722, 5953, 543, 524, 31518, 630, 2633, 504, 24691, 31073, 1040, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 1744, 629, 6767, 4149, 698, 4673, 16130, 30165, 9218, 454, 8987, 330, 571, 30195, 264, 589, 25386, 5858, 610, 6516, 267, 835, 540, 3670, 4330, 676, 519, 570, 656, 6652, 269, 661, 269, 476, 5953, 329, 10722, 5953, 543, 524, 31518, 513, 5858, 2529, 1830, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 3933, 1512, 8862, 650, 3554, 338, 16130, 30165, 9218, 454, 384, 478, 329, 10722, 5953, 322, 31518, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 2567, 1765, 314, 284, 5953, 18191, 10722, 5953, 2275, 31518, 316, 562, 269, 513, 25386, 5858, 610, 6516, 630, 821, 540, 519, 3670, 4330, 676, 519, 1496, 307, 656, 6652, 5953, 571, 8079, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 962, 919, 16130, 30165, 9218, 454, 384, 478, 329, 10722, 5953, 322, 31518, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 2567, 1765, 314, 5953, 329, 10722, 5953, 2275, 31518, 316, 630, 330, 571, 30910, 264, 476, 272, 269, 544, 269, 3733, 560, 673, 5858, 563, 314, 306, 14234, 547, 4436, 316, 630, 5719, 28852, 654, 23152, 614, 321, 1276, 264, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 645, 7238, 6255, 1782, 330, 543, 681, 1054, 24162, 525, 22642, 10767, 3455, 654, 23152, 614, 321, 1276, 454, 384, 478, 329, 10722, 5953, 322, 31518, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 2567, 1765, 263, 5953, 1341, 1309, 264, 562, 269, 32489, 14850, 269, 7793, 29531, 918, 516, 529, 630, 1457, 1577, 345, 974, 796, 614, 3954, 694, 577, 11420, 264, 1496, 385, 504, 305, 384, 359, 307, 2969, 29552, 3722, 19860, 384, 478, 7246, 9719, 484, 296, 708, 15662, 504, 629, 323, 752, 531, 25247, 5300, 320, 2639, 19203, 10758, 4534, 8894, 384, 478, 329, 10722, 5953, 322, 31518, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 2567, 1765, 267, 476, 5953, 329, 10722, 5953, 322, 31518, 30195, 1309, 536, 15590, 19476, 24703, 1506, 324, 588, 327, 7534, 30195, 544, 5953, 22170, 1731, 344, 14505, 30195, 333, 756, 5069, 1547, 546, 341, 573, 8403, 30195, 688, 30195, 737, 23973, 320, 30195, 621, 328, 1309, 544, 5953, 339, 9719, 505, 330, 5953, 337, 22170, 30249, 23410, 984, 327, 527, 600, 10371, 1496, 23682, 325, 4650, 24732, 577, 17287, 1084, 476, 14983, 14720, 267, 4343, 269, 535, 326, 20426, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 16130, 8862, 23152, 614, 321, 1276, 538, 737, 14660, 345, 19907, 674, 817, 2426, 454, 384, 478, 329, 10722, 5953, 322, 31518, 630, 2633, 484, 2633, 506, 11695, 508, 14098, 504, 24691, 31073, 2567, 1765, 333, 269, 815, 476, 5953, 329, 10722, 5953, 330, 27256, 563, 306, 14234, 267, 849, 25250, 29334, 23517, 28637, 11695, 499, 5936, 481, 23371, 28440, 11165, 630, 21542, 30195, 12921, 9719, 505, 339, 600, 1070, 568, 606, 3504, 1893, 540, 3127, 4122, 2938, 607, 519, 20516, 540, 519, 21475, 26049, 1893, 1920, 630, 16838, 2296, 32656, 19171, 569, 24027, 609, 16217, 330, 761, 543, 6022, 328, 267, 16130, 568, 811, 29882, 538, 1312, 8239, 543, 2474, 543, 814, 519, 1034, 3573, 4015, 540, 3332, 538, 519, 1158, 267, 7494, 20546, 532, 922, 11078, 2000, 16722, 5259, 543, 5824, 563, 8450, 849, 630, 3725, 10589, 8847, 994, 15507, 1336, 476, 276, 2835, 543, 2984, 5627, 31828, 333, 659, 31518, 267, 31828, 3534, 2275, 31518, 267, 17487, 478, 329, 10722, 5953, 322, 31518, 267, 17487, 478, 329, 10722, 5953, 2275, 31518, 282, 630, 680, 584, 1023, 1331, 281, 31828, 333, 659, 752, 6652, 267, 524, 752, 6652, 267, 17487, 478, 329, 10722, 5953, 322, 752, 6652, 1040, 1411, 666, 849, 4945, 547, 519, 2407, 7650, 5627, 2296, 21849, 32461, 269, 12989, 616, 1463, 6402, 585, 519, 1034, 4143, 4930, 912, 763, 4787, 7701, 8830, 3570, 630, 2421, 717, 269, 966, 269, 22105, 732, 994, 6637, 476, 1789, 910, 13517, 540, 18639, 609, 20640, 7799, 2125, 630, 288, 23973, 30909, 5953, 9719, 483, 8615, 25286, 7541, 264, 2999, 1496, 4089, 476, 280, 910, 966, 5953, 338, 644, 21416, 2173, 5953, 327, 5953, 339, 3240, 320, 2639, 299, 531, 527, 641, 752, 1506, 3570, 630, 299, 531, 7534, 8575, 1002, 3240, 320, 264, 630, 2421, 717, 17679, 269, 22105, 732, 994, 288, 3778, 540, 4095, 13898, 11730, 476, 273, 630, 2421, 17610, 526, 3757, 987, 30605, 7666, 24473, 994, 8512, 476, 1015, 910, 634, 19449, 1529, 2218, 543, 519, 32471, 748, 3590, 2999, 1496, 6637, 2473, 7656, 910, 4325, 1529, 725, 538, 519, 6481, 12140, 2639, 763, 8061, 328, 13225, 698, 822, 1092, 8830, 3570, 630, 2421, 4210, 9564, 966, 6359, 10722, 534, 534, 7701, 994, 4537, 752, 16210, 543, 1744, 752, 3279, 630, 2421, 3627, 8381, 549, 11738, 264, 0, 301, 24252, 600, 6588, 5069, 8403, 267, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 281, 476, 273, 8847, 454, 301, 24252, 600, 6588, 5069, 8403, 1797, 1945, 538, 18420, 267, 16130, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 299, 16722, 540, 3127, 543, 13383, 454, 306, 14234, 8675, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 589, 18860, 516, 19816, 18280, 690, 639, 18280, 690, 28262, 454, 272, 264, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 630, 23547, 14098, 362, 28637, 23517, 2633, 501, 31073, 2633, 373, 28440, 14098, 366, 11111, 264, 607, 5018, 538, 589, 18860, 516, 19816, 779, 18280, 690, 639, 18280, 690, 28262, 281, 1765, 2716, 269, 676, 2561, 599, 5984, 667, 13682, 330, 23973, 7534, 269, 654, 269, 533, 269, 476, 18597, 269, 5484, 269, 476, 3451, 563, 273, 264, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 630, 23547, 14098, 362, 28637, 23517, 2633, 501, 31073, 2633, 373, 28440, 14098, 366, 11111, 2567, 1765, 2716, 269, 676, 2561, 599, 5984, 667, 13682, 330, 23973, 7534, 269, 23415, 476, 7918, 563, 274, 264, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 630, 23547, 14098, 362, 28637, 23517, 2633, 501, 31073, 2633, 373, 28440, 14098, 366, 11111, 2567, 1765, 2716, 269, 676, 2561, 599, 5984, 667, 13682, 330, 23973, 7534, 269, 1306, 533, 269, 476, 3445, 2529, 1830, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 3933, 1512, 8862, 650, 3554, 338, 16130, 30165, 9218, 454, 301, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 630, 23547, 14098, 362, 28637, 23517, 2633, 501, 31073, 2633, 373, 28440, 14098, 366, 11111, 2567, 1765, 314, 284, 333, 5953, 2742, 1606, 320, 30195, 6588, 3873, 2173, 5953, 331, 5953, 316, 1496, 5228, 562, 5953, 2742, 1606, 320, 30195, 6588, 3873, 3436, 562, 5953, 2742, 316, 535, 269, 8745, 540, 6863, 563, 306, 14234, 267, 849, 25250, 29334, 23517, 28637, 11695, 499, 5936, 481, 23371, 28440, 11165, 630, 21542, 30195, 12921, 9719, 505, 339, 600, 1070, 568, 606, 3504, 1893, 540, 3127, 4122, 2938, 607, 519, 20516, 540, 519, 21475, 26049, 1893, 1920, 630, 16838, 2296, 32656, 19171, 569, 24027, 609, 16217, 330, 761, 543, 6022, 328, 267, 16130, 568, 811, 29882, 538, 1312, 8239, 543, 2474, 543, 814, 519, 1034, 3573, 4015, 540, 3332, 538, 519, 1158, 267, 7494, 20546, 532, 922, 11078, 2000, 16722, 5259, 543, 5824, 563, 8450, 849, 630, 3725, 10589, 8847, 994, 5591, 3406, 2164, 585, 21601, 553, 600, 6588, 5069, 8403, 267, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 267, 21601, 553, 600, 6588, 3873, 2173, 8403, 267, 715, 5953, 5733, 320, 30195, 6588, 3873, 2173, 5953, 331, 5953, 282, 630, 680, 584, 1023, 1331, 281, 21601, 553, 600, 6588, 5069, 531, 553, 267, 715, 5953, 5733, 320, 30195, 6588, 5069, 5953, 331, 5953, 338, 267, 4731, 553, 267, 544, 5953, 331, 5953, 338, 264, 538, 1022, 1433, 610, 1650, 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 ]
[ 0, 10666, 938, 17030, 454, 1692, 1131, 1272, 581, 1510, 513, 3993, 286, 23225, 3108, 1310, 6765, 540, 606, 17608, 4816, 519, 3993, 10523, 269, 3143, 6190, 2179, 540, 1913, 666, 6655, 519, 7915, 2591, 606, 17608, 4816, 786, 3068, 538, 1272, 1510, 513, 3993, 269, 631, 11189, 9019, 666, 10969, 622, 24454, 267, 2298, 540, 1272, 267, 543, 6668, 8458, 540, 1346, 1352, 3762, 3297, 563, 763, 2657, 8081, 7690, 630, 9391, 293, 264, 6663, 547, 2569, 519, 2804, 543, 1514, 11411, 540, 14774, 9019, 593, 17005, 1453, 689, 6502, 20023, 547, 18599, 1296, 676, 3246, 2883, 267, 538, 29292, 21856, 543, 13508, 1489, 547, 519, 4299, 1920, 602, 2115, 971, 6351, 563, 763, 1764, 540, 14774, 9019, 593, 519, 4299, 1126, 543, 519, 7525, 1920, 568, 2484, 8757, 269, 3689, 267, 513, 8628, 3929, 543, 513, 2168, 12511, 568, 2813, 269, 5822, 267, 2530, 540, 4747, 2164, 267, 2436, 610, 711, 519, 6408, 729, 2744, 2685, 6964, 269, 1403, 519, 6408, 729, 711, 2744, 2685, 6964, 519, 17005, 2385, 814, 547, 7941, 1010, 942, 547, 519, 909, 18141, 540, 519, 1126, 543, 8754, 949, 991, 547, 4188, 1010, 610, 1200, 960, 8430, 547, 13918, 1126, 3249, 7569, 269, 589, 12343, 540, 971, 5258, 3007, 568, 2530, 540, 4747, 267, 799, 949, 1860, 519, 2702, 547, 1683, 1978, 2596, 29476, 971, 607, 1426, 267, 7802, 610, 1256, 12062, 4470, 519, 3510, 563, 2026, 513, 12343, 267, 519, 2949, 11095, 3356, 540, 519, 1126, 666, 581, 14944, 1441, 1510, 606, 7850, 1489, 1062, 602, 10742, 891, 2115, 269, 769, 2477, 1141, 7850, 1514, 10304, 3292, 616, 538, 1747, 267, 519, 8801, 1764, 540, 14774, 9019, 593, 519, 1126, 543, 519, 7525, 1920, 568, 1447, 25680, 269, 769, 4334, 267, 538, 7239, 1141, 1100, 610, 4617, 1514, 10304, 2533, 616, 3177, 585, 4299, 3885, 267, 519, 1764, 540, 14774, 9019, 593, 519, 17005, 1126, 666, 581, 1272, 19249, 538, 7334, 2081, 563, 9391, 293, 6663, 547, 7413, 519, 1764, 540, 14774, 9019, 593, 17005, 1453, 998, 6098, 1489, 602, 2743, 741, 3929, 267, 2168, 543, 2883, 2115, 269, 0, 30821, 28066, 2657, 281, 4197, 543, 26472, 513, 13245, 5843, 6798, 727, 538, 12660, 542, 12292, 454, 7197, 1004, 1810, 1406, 8275, 513, 4620, 779, 8937, 1072, 4249, 971, 513, 2629, 1909, 538, 741, 2949, 1134, 5630, 2394, 789, 1265, 2933, 2620, 7738, 741, 24095, 269, 6145, 3425, 267, 519, 4620, 8937, 22435, 5161, 540, 959, 650, 687, 540, 14471, 602, 2047, 1764, 513, 4620, 779, 9667, 1062, 267, 4761, 1599, 267, 543, 2790, 1072, 269, 3807, 899, 721, 563, 4131, 779, 5490, 883, 519, 2956, 540, 4620, 8937, 1072, 267, 6313, 519, 2188, 602, 1764, 519, 22435, 543, 3695, 2994, 547, 6536, 513, 2635, 8937, 538, 938, 11537, 13959, 2831, 563, 288, 13216, 23270, 454, 763, 8937, 22435, 540, 10130, 568, 513, 1950, 5117, 540, 4551, 267, 13271, 267, 8290, 630, 321, 1461, 328, 21301, 1070, 543, 824, 14471, 602, 21078, 538, 519, 16063, 8778, 269, 634, 8937, 568, 5051, 17019, 607, 513, 4105, 5057, 540, 2949, 1072, 538, 5243, 543, 7314, 267, 12018, 12536, 267, 8770, 10338, 267, 4761, 1599, 267, 543, 1256, 741, 8788, 563, 26452, 2188, 666, 3310, 519, 5888, 543, 4763, 540, 519, 4620, 8937, 22435, 269, 1452, 1331, 2732, 267, 2566, 267, 6527, 630, 7945, 607, 11216, 1070, 2085, 267, 543, 2825, 2188, 269, 4197, 891, 7506, 568, 2629, 585, 4509, 513, 2635, 8937, 538, 13959, 2831, 563, 291, 2884, 568, 835, 540, 519, 1034, 9565, 2188, 538, 5935, 519, 4620, 8937, 22435, 269, 4400, 7779, 267, 6484, 958, 7059, 4620, 3536, 602, 1489, 519, 2208, 540, 6225, 8937, 4551, 27137, 607, 840, 25027, 11103, 543, 22763, 1765, 4754, 3565, 547, 513, 2635, 22435, 269, 3958, 267, 10893, 2566, 267, 3246, 2834, 3635, 267, 543, 9319, 11991, 15084, 946, 616, 1271, 585, 8497, 8937, 1072, 538, 10130, 563, 7093, 25027, 11103, 1404, 513, 2629, 1909, 538, 4509, 513, 4620, 779, 16063, 8778, 1072, 563, 7093, 25027, 6775, 267, 513, 5057, 540, 2030, 2861, 3536, 267, 13315, 513, 3309, 1895, 540, 7135, 602, 5706, 12536, 538, 519, 1507, 16892, 543, 3914, 519, 1804, 16892, 16856, 269, 769, 2487, 1296, 267, 1382, 814, 12006, 519, 2956, 540, 8192, 6775, 538, 5009, 8937, 1072, 538, 10130, 267, 1818, 621, 513, 1883, 7156, 950, 1106, 6819, 7059, 543, 14312, 11326, 585, 13959, 2831, 563, 4322, 11103, 666, 581, 19040, 883, 1079, 1292, 2010, 281, 19729, 543, 1202, 20107, 269, 3752, 12657, 6775, 267, 1336, 538, 3536, 971, 607, 28113, 543, 22053, 267, 4744, 11510, 538, 1216, 547, 1106, 513, 15074, 6438, 6219, 543, 568, 25496, 676, 6225, 8937, 4551, 269, 6184, 20107, 6775, 267, 1459, 538, 10568, 4839, 543, 5388, 267, 8591, 13557, 547, 519, 22454, 543, 8992, 2834, 15108, 5322, 563, 763, 18829, 540, 8192, 6775, 676, 8937, 4551, 7472, 2110, 7302, 664, 9761, 7408, 630, 17092, 293, 2026, 1070, 799, 1683, 1648, 585, 519, 2281, 16298, 519, 3935, 543, 8858, 4550, 13611, 3601, 563, 4322, 2640, 723, 6383, 606, 23292, 1719, 538, 9001, 840, 25027, 11103, 971, 607, 538, 6081, 267, 535, 1192, 334, 268, 565, 580, 657, 30828, 630, 293, 5308, 1070, 543, 19729, 7148, 328, 10087, 6775, 547, 1489, 8937, 1072, 538, 10130, 563, 1103, 6081, 568, 513, 1826, 540, 535, 1192, 534, 1336, 538, 669, 545, 800, 3597, 267, 13243, 1148, 747, 5803, 267, 543, 989, 1511, 269, 898, 759, 1235, 12536, 538, 519, 1507, 16892, 543, 5713, 607, 513, 14041, 585, 6225, 4551, 538, 519, 3935, 269, 1879, 3769, 538, 4620, 3536, 267, 13000, 267, 543, 9360, 267, 538, 6081, 8992, 519, 2208, 540, 645, 604, 573, 27627, 543, 32587, 984, 659, 650, 328, 267, 799, 616, 2404, 609, 2318, 1072, 4093, 538, 519, 8937, 563, 293, 1192, 334, 268, 565, 580, 657, 30828, 630, 293, 5308, 264, 616, 2110, 7302, 664, 535, 1192, 753, 602, 616, 13974, 11259, 547, 12536, 543, 4196, 607, 513, 7542, 618, 762, 14041, 585, 1808, 6225, 4551, 269, 1635, 5009, 519, 2208, 540, 6225, 8937, 4551, 267, 674, 5308, 8309, 547, 513, 3309, 543, 7059, 8937, 22435, 538, 10130, 563, 306, 20107, 7148, 328, 10087, 6775, 267, 6508, 689, 519, 22101, 6072, 2030, 267, 568, 513, 1826, 540, 11259, 20566, 602, 6411, 607, 513, 840, 25027, 538, 519, 8937, 269, 898, 25457, 18829, 538, 519, 1804, 16892, 267, 6721, 2110, 7302, 664, 9761, 7408, 602, 1489, 519, 1072, 540, 519, 3935, 545, 13423, 26375, 543, 1683, 1648, 585, 3935, 14231, 563, 1805, 22326, 674, 5308, 267, 538, 6081, 543, 19729, 7148, 328, 10087, 6775, 666, 2709, 519, 1739, 2640, 1510, 513, 2942, 16063, 1764, 540, 519, 3662, 912, 1892, 20865, 6226, 24304, 9577, 281, 769, 6081, 267, 674, 5308, 267, 543, 19729, 7148, 328, 10087, 6775, 3565, 547, 2834, 15108, 5322, 543, 949, 13468, 16063, 4713, 971, 607, 19228, 543, 13165, 538, 10130, 563, 1892, 21210, 3525, 1637, 281, 1452, 840, 25027, 11103, 723, 1044, 5532, 547, 519, 25244, 540, 519, 4761, 1062, 538, 10130, 267, 5732, 4227, 519, 1981, 540, 4761, 24975, 2175, 563, 1892, 24046, 715, 22021, 12559, 26975, 281, 1635, 5885, 513, 2635, 8937, 22435, 267, 840, 25027, 11103, 949, 3986, 519, 10338, 540, 1898, 5567, 689, 519, 2732, 538, 5243, 543, 7314, 563, 13528, 1637, 17214, 11822, 454, 30821, 1426, 30422, 666, 3362, 543, 6488, 2406, 6451, 538, 6081, 267, 674, 5308, 267, 543, 19729, 7148, 328, 10087, 6775, 547, 1683, 519, 2640, 540, 891, 840, 321, 7821, 269, 5516, 995, 7156, 540, 18262, 267, 2707, 267, 543, 19862, 568, 1898, 547, 2327, 6099, 12117, 543, 3106, 538, 4620, 11326, 269, 27748, 16639, 666, 948, 609, 519, 2953, 12753, 950, 10518, 532, 11103, 547, 5838, 519, 1034, 2500, 840, 25027, 1764, 563, 7093, 289, 3999, 3821, 769, 6081, 267, 674, 5308, 267, 543, 17316, 8269, 710, 3752, 12657, 24135, 328, 10087, 27438, 616, 3407, 2645, 585, 4620, 1426, 1106, 22399, 602, 616, 5461, 538, 1114, 11868, 741, 2472, 676, 5009, 4620, 8937, 1072, 269, 23889, 27748, 16639, 685, 840, 25027, 11103, 883, 4620, 6484, 8309, 547, 519, 2949, 1134, 5630, 543, 15325, 540, 13959, 2831, 269, 13555, 938, 2319, 2221, 256, 0, 292, 6141, 18179, 5783, 454, 292, 6141, 18179, 5783, 267, 835, 540, 519, 476, 273, 2101, 8371, 540, 519, 4168, 5783, 269, 3245, 519, 19980, 4301, 2085, 513, 2067, 11984, 21256, 1063, 519, 5259, 18702, 5939, 540, 519, 9456, 4936, 10504, 543, 519, 5824, 18702, 5939, 540, 519, 7178, 269, 634, 8109, 5783, 2919, 922, 1378, 1396, 17790, 5389, 269, 898, 2968, 513, 1920, 540, 31249, 13039, 267, 6368, 8840, 609, 7507, 538, 519, 4279, 5576, 1143, 540, 476, 10755, 275, 563, 8450, 849, 281, 8567, 269, 0, 288, 4049, 13438, 814, 1044, 1336, 538, 519, 30582, 540, 519, 29402, 7014, 2066, 1896, 2442, 5665, 1949, 281, 15692, 267, 5672, 5308, 267, 25515, 267, 27317, 5308, 267, 543, 12380, 269, 901, 17079, 5732, 2636, 6552, 28892, 540, 7925, 3457, 1510, 1022, 1880, 3527, 2838, 593, 519, 851, 519, 3593, 269, 2913, 779, 4685, 883, 519, 3877, 563, 763, 29402, 13438, 2636, 596, 547, 1921, 513, 16995, 13691, 454, 763, 9759, 540, 519, 1966, 568, 602, 513, 7925, 3926, 666, 581, 7142, 547, 1921, 547, 513, 16995, 29402, 13691, 1510, 8506, 3593, 21533, 2443, 21271, 532, 519, 5665, 1062, 779, 11974, 3743, 585, 519, 29402, 7014, 269, 634, 796, 2246, 5782, 5344, 4276, 4183, 568, 9138, 538, 519, 29402, 7014, 267, 543, 2152, 609, 1978, 30582, 540, 519, 29402, 10518, 538, 2442, 5665, 1949, 1683, 31487, 609, 519, 4316, 547, 17908, 713, 7271, 563, 763, 31487, 666, 1287, 946, 713, 4276, 547, 3403, 12981, 267, 3850, 873, 547, 14892, 1022, 2962, 607, 952, 789, 941, 519, 3593, 2443, 1510, 8506, 3606, 17452, 971, 607, 513, 10957, 610, 1979, 6248, 338, 630, 3697, 513, 31937, 610, 3068, 11571, 1040, 4340, 547, 519, 3354, 11001, 16205, 1715, 4802, 945, 4362, 713, 13438, 267, 1100, 2027, 3937, 568, 2877, 585, 513, 3811, 4323, 2443, 1175, 513, 12380, 15291, 543, 513, 3044, 29402, 740, 1986, 563, 2026, 596, 1522, 7058, 267, 519, 4323, 568, 20244, 3908, 676, 519, 29402, 8818, 281, 606, 30429, 2115, 547, 581, 538, 2673, 16133, 547, 519, 6408, 269, 901, 6923, 3652, 856, 2527, 14226, 540, 519, 13438, 538, 2243, 269, 1717, 267, 17351, 11051, 29227, 713, 13438, 1223, 1869, 581, 513, 5855, 585, 1808, 2043, 540, 2027, 1719, 547, 1346, 11051, 563, 7617, 3457, 543, 5665, 1949, 616, 7925, 888, 1607, 13438, 5540, 513, 2039, 540, 5665, 1949, 543, 1896, 5049, 540, 3457, 1759, 593, 873, 2443, 23344, 609, 930, 7648, 269, 13689, 593, 519, 13013, 1031, 267, 3457, 949, 581, 811, 610, 1447, 7925, 563, 4517, 5514, 3457, 941, 519, 1034, 8499, 8947, 585, 519, 4527, 540, 519, 27069, 13438, 269, 16205, 1715, 4802, 7318, 5722, 16389, 609, 1114, 13013, 8747, 2443, 15692, 476, 275, 269, 273, 269, 273, 267, 15692, 476, 277, 269, 271, 269, 272, 267, 15692, 476, 1015, 267, 15692, 476, 1556, 267, 15692, 476, 1724, 267, 543, 15692, 476, 1691, 2443, 543, 1336, 602, 782, 540, 873, 941, 7925, 547, 519, 29402, 11360, 269, 5015, 267, 7282, 15692, 267, 782, 602, 779, 2838, 585, 713, 11360, 568, 585, 29402, 547, 581, 13087, 593, 519, 3926, 563, 763, 11001, 5483, 5616, 540, 519, 4362, 13438, 538, 2038, 4864, 269, 634, 2754, 814, 2907, 5950, 15649, 585, 15692, 8747, 476, 1556, 998, 476, 1691, 267, 543, 2366, 873, 547, 9755, 540, 16389, 543, 14342, 1759, 593, 713, 13013, 269, 1452, 9755, 1631, 723, 519, 4305, 540, 2870, 543, 26084, 519, 2556, 3354, 10311, 547, 741, 5561, 685, 3457, 563, 8170, 1576, 267, 891, 15649, 1590, 581, 8704, 607, 4166, 607, 789, 1831, 2139, 585, 3457, 4881, 593, 15692, 476, 1556, 270, 1321, 270, 1724, 270, 1691, 269, 19402, 1287, 267, 547, 2149, 1996, 28892, 267, 621, 779, 19624, 547, 1832, 29402, 5828, 1055, 269, 1280, 3457, 4881, 4587, 15692, 8747, 267, 972, 3580, 581, 1100, 10311, 2443, 789, 3580, 2611, 7925, 547, 713, 4323, 22543, 17802, 269, 4935, 267, 519, 5796, 547, 2490, 29402, 1055, 786, 2611, 4143, 585, 873, 2394, 519, 1439, 540, 741, 3028, 1272, 563, 21547, 5308, 267, 27317, 5308, 267, 543, 25515, 454, 2026, 585, 11197, 779, 5665, 1949, 267, 519, 11001, 4769, 1406, 723, 971, 513, 2647, 2039, 540, 1449, 3457, 269, 16480, 267, 646, 729, 2111, 547, 6166, 602, 519, 13438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9172, 26833, 1635, 281, 9995, 344, 8316, 525, 7831, 21213, 281, 3967, 476, 1556, 267, 476, 1001, 280, 14358, 281, 476, 5379, 454, 296, 2366, 596, 835, 6221, 689, 519, 15610, 27429, 630, 514, 552, 20486, 264, 543, 6045, 538, 602, 5048, 875, 547, 946, 519, 593, 1606, 10547, 2645, 547, 1569, 930, 540, 519, 1644, 2592, 585, 707, 17948, 1788, 563, 296, 849, 2366, 596, 1614, 3688, 689, 519, 7457, 16631, 6538, 585, 519, 2241, 3406, 968, 10043, 11155, 5562, 5061, 2223, 1141, 596, 666, 19584, 630, 8117, 711, 2047, 3406, 264, 519, 3239, 19922, 538, 519, 9012, 1283, 7400, 9184, 269, 2107, 267, 596, 666, 946, 519, 593, 1606, 10547, 2645, 547, 519, 1318, 2427, 540, 519, 2376, 2985, 547, 968, 22772, 811, 899, 713, 892, 2376, 538, 713, 2707, 563, 296, 849, 1175, 2366, 596, 513, 3095, 547, 634, 24251, 21835, 528, 779, 30325, 13129, 267, 606, 26496, 596, 666, 946, 547, 1205, 519, 1880, 338, 827, 1022, 28400, 5562, 3075, 596, 1616, 547, 1413, 909, 563, 4131, 721, 917, 950, 270, 604, 596, 1616, 948, 4466, 3606, 2326, 585, 707, 13662, 312, 14065, 17948, 6881, 267, 610, 952, 596, 991, 948, 2324, 609, 2592, 267, 610, 2507, 0, 293, 3224, 2070, 540, 519, 2817, 23587, 4741, 454, 347, 297, 9766, 323, 2109, 1475, 18197, 2276, 2229, 2008, 347, 23175, 18392, 1475, 2160, 5244, 267, 24543, 267, 8419, 267, 772, 2529, 269, 11406, 763, 2817, 23587, 4741, 630, 301, 18449, 264, 568, 519, 6498, 540, 519, 2136, 2276, 262, 2817, 16661, 6796, 3743, 585, 9477, 543, 17782, 9341, 4365, 1949, 1063, 519, 11788, 8585, 22941, 543, 519, 476, 9610, 628, 5789, 22941, 7178, 15393, 1189, 547, 519, 476, 1789, 628, 6252, 5087, 538, 519, 22583, 7414, 7909, 543, 519, 476, 4029, 560, 6252, 5087, 538, 519, 7187, 9533, 7909, 269, 634, 8116, 267, 799, 568, 1071, 2000, 11343, 609, 519, 24543, 7936, 540, 519, 2817, 16661, 6796, 267, 568, 13883, 593, 519, 13464, 540, 8419, 4139, 2160, 538, 2160, 5244, 267, 8419, 563, 763, 2817, 16661, 6796, 630, 301, 16703, 264, 568, 606, 8116, 540, 519, 2136, 2276, 5313, 2229, 602, 568, 25461, 609, 3246, 4365, 23004, 267, 21855, 540, 13818, 4365, 267, 543, 824, 4365, 5829, 2472, 547, 3906, 543, 519, 1857, 585, 519, 5301, 540, 4027, 267, 3106, 267, 543, 2489, 1344, 269, 898, 568, 513, 851, 540, 519, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 264, 7936, 540, 519, 4972, 540, 25642, 267, 543, 568, 2212, 32483, 1229, 538, 18234, 11354, 267, 15930, 267, 1369, 519, 6115, 23195, 1858, 269, 634, 8116, 729, 1634, 607, 519, 2136, 2276, 16661, 13163, 689, 476, 6245, 271, 2394, 621, 7550, 922, 1699, 2012, 538, 476, 3192, 271, 563, 763, 594, 8991, 13129, 8585, 22941, 630, 7644, 300, 1070, 849, 1572, 519, 4139, 13129, 8585, 22941, 267, 568, 519, 6305, 5789, 22941, 9738, 676, 519, 4139, 3047, 15585, 566, 543, 13129, 7010, 6796, 630, 296, 8991, 1040, 898, 10596, 827, 476, 276, 269, 274, 9095, 572, 6948, 7532, 540, 6723, 645, 1342, 749, 5794, 344, 781, 476, 6977, 272, 18302, 5858, 610, 476, 9083, 15432, 630, 28178, 10264, 264, 693, 519, 20173, 540, 519, 9576, 25076, 267, 5682, 16049, 269, 898, 568, 849, 519, 4704, 5789, 22941, 540, 519, 6820, 19024, 532, 3590, 630, 294, 4916, 264, 13234, 676, 519, 2136, 2276, 4972, 540, 16470, 267, 543, 540, 654, 14899, 10019, 543, 922, 1079, 6101, 8747, 267, 519, 4998, 4139, 6833, 14111, 13129, 3590, 630, 3951, 11965, 264, 543, 922, 20185, 267, 519, 4139, 6833, 14111, 13129, 31108, 630, 3951, 27184, 1916, 763, 5789, 22941, 476, 9610, 4113, 7178, 540, 5682, 16049, 568, 513, 1899, 540, 29978, 602, 11498, 689, 519, 3345, 24504, 2066, 519, 11848, 7909, 267, 3345, 3013, 267, 519, 7414, 7909, 267, 519, 8828, 7909, 267, 543, 19778, 547, 519, 3162, 24504, 563, 763, 715, 18449, 781, 23427, 5811, 543, 5983, 4751, 25032, 630, 14011, 293, 289, 264, 22991, 2152, 7286, 23004, 267, 538, 519, 1106, 540, 12449, 543, 1164, 15798, 23004, 1032, 5180, 267, 609, 519, 7909, 20530, 2109, 4741, 2348, 19307, 5539, 585, 713, 1770, 269, 634, 5303, 543, 3163, 25032, 630, 4811, 289, 264, 2488, 2930, 1489, 585, 519, 4099, 267, 799, 2882, 1007, 1102, 16272, 540, 2029, 689, 13383, 269, 634, 12751, 267, 17224, 658, 26532, 18590, 18509, 1588, 267, 2353, 15049, 21814, 630, 290, 2752, 7563, 295, 264, 1770, 4247, 14742, 267, 585, 1382, 543, 10512, 5301, 267, 547, 9341, 7814, 2158, 1282, 519, 9533, 19996, 4005, 543, 1713, 4365, 2621, 267, 1519, 6777, 15420, 267, 1282, 5162, 543, 5614, 269, 3194, 547, 2087, 10512, 23004, 568, 2944, 998, 519, 23587, 5983, 4751, 26094, 5741, 630, 295, 293, 7709, 264, 543, 17434, 23587, 4530, 16170, 630, 297, 12487, 264, 7341, 563, 763, 7909, 20530, 2109, 4741, 630, 8008, 290, 1070, 3964, 538, 476, 1960, 276, 267, 568, 835, 540, 519, 2817, 15544, 585, 7025, 20530, 2109, 781, 630, 301, 4753, 303, 781, 264, 3312, 3670, 3028, 7740, 269, 19402, 476, 1220, 274, 267, 519, 2012, 540, 519, 3919, 729, 519, 13149, 20530, 2109, 4741, 269, 4706, 8129, 616, 14360, 1394, 547, 519, 29855, 540, 519, 681, 5960, 21419, 545, 538, 476, 4489, 273, 269, 634, 744, 15425, 2152, 23004, 909, 547, 2947, 2395, 538, 4434, 585, 5836, 2127, 5087, 540, 476, 4029, 4113, 5087, 20173, 543, 7178, 540, 476, 3374, 4113, 7178, 29978, 538, 519, 9533, 267, 543, 2066, 519, 22583, 7414, 5087, 540, 476, 1789, 4113, 5087, 20173, 543, 7532, 540, 476, 8182, 4113, 7532, 29978, 269, 19402, 5063, 267, 519, 744, 15425, 3177, 9472, 2798, 585, 9341, 7814, 2158, 5087, 540, 476, 736, 4113, 5087, 20173, 543, 7532, 540, 519, 476, 2568, 4113, 7178, 29978, 547, 519, 2817, 23587, 4741, 269, 744, 15425, 568, 7768, 540, 1079, 8371, 281, 519, 7909, 5983, 4751, 25032, 543, 519, 7909, 10241, 25032, 563, 763, 9533, 19996, 4005, 568, 519, 1974, 538, 513, 1032, 950, 24377, 2356, 1106, 538, 519, 9533, 7909, 269, 23427, 7814, 2158, 538, 519, 3345, 9533, 616, 1572, 24377, 267, 9341, 15420, 267, 610, 9341, 1244, 11306, 269, 769, 1840, 267, 972, 723, 1044, 1896, 15420, 936, 519, 1296, 602, 723, 711, 1044, 4628, 9341, 543, 616, 19040, 607, 31210, 1244, 11306, 543, 31210, 15420, 269, 4634, 1498, 31210, 15420, 543, 31210, 1244, 11306, 616, 711, 20248, 607, 2178, 607, 9341, 7814, 2158, 267, 519, 14796, 666, 1869, 581, 14042, 563, 7628, 519, 9533, 543, 22583, 7414, 19996, 12405, 267, 519, 23587, 7981, 1235, 5149, 630, 9391, 308, 264, 2152, 6296, 9341, 4365, 19773, 338, 585, 519, 22583, 7414, 543, 7187, 9533, 12084, 269, 1879, 9341, 7088, 610, 19996, 2175, 616, 4397, 1369, 476, 4366, 3108, 267, 519, 4099, 2152, 29167, 543, 21855, 3842, 519, 3377, 2923, 543, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 264, 16661, 15571, 563, 17472, 8150, 16661, 15571, 568, 606, 12747, 476, 2190, 16923, 3060, 540, 966, 295, 293, 29482, 4365, 5925, 10473, 538, 519, 2136, 2276, 602, 13739, 4365, 1344, 2047, 689, 513, 7404, 2817, 16661, 6796, 5604, 269, 634, 6296, 5752, 4783, 2882, 2199, 610, 6237, 4365, 23004, 267, 5348, 18462, 267, 2916, 24096, 267, 5348, 18462, 610, 7997, 15828, 820, 270, 1723, 770, 531, 7297, 23004, 269, 4438, 4049, 2175, 519, 4783, 568, 27571, 883, 281, 13818, 4365, 19773, 338, 267, 2110, 3856, 23004, 267, 2027, 4365, 6898, 610, 9341, 4365, 24096, 269, 898, 12212, 13739, 338, 824, 1875, 32734, 1430, 1644, 2621, 971, 607, 3084, 3354, 6898, 267, 2067, 9568, 1344, 267, 2825, 543, 1857, 3106, 6898, 21433, 689, 519, 8549, 18058, 8189, 781, 630, 293, 6717, 264, 17073, 1325, 1068, 3590, 269, 30857, 16661, 15571, 3096, 12747, 13739, 2029, 602, 2636, 585, 519, 9657, 540, 12415, 12286, 538, 835, 13739, 4783, 16900, 883, 1776, 543, 811, 2834, 21130, 540, 12415, 547, 1142, 540, 519, 10141, 1562, 269, 898, 849, 11250, 909, 519, 9963, 23142, 1184, 563, 7212, 519, 715, 18449, 568, 606, 8116, 540, 519, 2136, 2276, 267, 519, 2622, 25561, 1670, 9257, 814, 11280, 621, 607, 519, 13636, 7981, 1242, 25561, 1670, 4741, 585, 519, 3345, 9533, 543, 9456, 7414, 267, 1818, 621, 519, 21757, 5264, 585, 9341, 7814, 821, 23004, 543, 7422, 9648, 538, 891, 2127, 269, 1403, 519, 715, 18449, 19380, 1379, 610, 3587, 24835, 659, 18469, 267, 519, 6239, 7414, 23587, 4741, 19758, 9341, 7814, 821, 9666, 1559, 543, 9341, 4365, 19773, 338, 585, 519, 22583, 7414, 7909, 1247, 519, 16661, 20530, 2109, 4741, 19758, 909, 9341, 7814, 821, 9666, 1559, 543, 9341, 4365, 19773, 338, 585, 519, 3345, 9533, 7909, 563, 763, 2622, 25561, 1670, 9257, 630, 310, 19616, 264, 568, 606, 954, 32744, 3919, 609, 513, 15376, 540, 476, 4572, 16588, 2276, 543, 17197, 1559, 269, 4706, 1699, 14199, 29731, 568, 8891, 614, 328, 19248, 531, 553, 543, 519, 5518, 540, 519, 2622, 25561, 1670, 6837, 267, 922, 18678, 1560, 267, 568, 6424, 6182, 1307, 269, 634, 9257, 568, 2212, 32483, 1229, 538, 25611, 267, 16848, 563, 288, 13636, 7981, 1242, 25561, 1670, 10418, 568, 3743, 585, 519, 3892, 540, 1344, 267, 9666, 1559, 267, 543, 21855, 3823, 519, 1808, 1982, 789, 723, 513, 851, 540, 267, 8815, 676, 13618, 693, 519, 2622, 25561, 1670, 9257, 607, 851, 540, 519, 2622, 16661, 13772, 563, 763, 6239, 7414, 23587, 4741, 630, 9573, 18449, 264, 540, 519, 2136, 2276, 2817, 16661, 6796, 568, 519, 4013, 1560, 3743, 585, 9477, 543, 29307, 9341, 7814, 821, 21855, 267, 29167, 267, 9666, 1559, 267, 5717, 267, 543, 6898, 585, 519, 6239, 7414, 3148, 281, 689, 519, 20337, 5087, 1189, 267, 476, 9610, 4113, 310, 1700, 5197, 4113, 310, 267, 1034, 3648, 585, 11316, 8072, 328, 269, 898, 568, 519, 13636, 7981, 1242, 25561, 1670, 4741, 630, 11965, 10157, 264, 585, 9341, 7814, 2158, 538, 713, 3148, 267, 543, 538, 713, 4390, 568, 1634, 607, 19954, 10157, 12968, 565, 21343, 563, 763, 1101, 19996, 9963, 3028, 729, 1305, 909, 538, 519, 476, 6942, 271, 338, 689, 18010, 609, 519, 960, 540, 12429, 5484, 17010, 22870, 10722, 525, 269, 2991, 1010, 2669, 267, 19996, 9963, 2533, 941, 10924, 676, 519, 2136, 2276, 28686, 17620, 543, 2136, 2276, 16661, 13163, 936, 519, 1985, 8717, 267, 1101, 1759, 538, 25706, 538, 476, 6245, 279, 543, 18010, 538, 476, 6245, 280, 1354, 13346, 547, 6115, 267, 667, 5861, 269, 538, 476, 5002, 273, 563, 290, 18866, 267, 13166, 519, 6243, 540, 18010, 267, 568, 513, 2197, 16030, 519, 6532, 540, 18010, 607, 1134, 607, 1772, 5055, 632, 3288, 4236, 1203, 644, 543, 1896, 5634, 2895, 25100, 31310, 269, 18010, 568, 4092, 538, 519, 7187, 12144, 1141, 519, 12144, 7256, 267, 13323, 540, 6792, 543, 9533, 7909, 2743, 269, 898, 568, 7532, 540, 519, 962, 1075, 520, 17505, 18686, 630, 300, 1410, 4815, 1070, 5045, 540, 1312, 519, 772, 2529, 269, 1533, 540, 8419, 543, 519, 15840, 24252, 267, 7178, 540, 27425, 543, 5087, 540, 1312, 25706, 543, 519, 595, 599, 2006, 11866, 269, 32147, 3570, 568, 519, 4102, 2749, 543, 3854, 282, 824, 2101, 4872, 1331, 16114, 328, 6210, 632, 18010, 543, 6682, 698, 6686, 5674, 269, 634, 1858, 540, 519, 6243, 540, 18010, 568, 476, 8099, 267, 279, 2568, 4009, 12919, 630, 5655, 267, 8517, 13483, 11465, 1040, 634, 6532, 540, 18010, 568, 519, 4102, 6532, 538, 18010, 543, 538, 519, 12144, 267, 609, 606, 1858, 540, 476, 10755, 267, 24879, 4009, 12919, 630, 2412, 267, 276, 6246, 13483, 11465, 1070, 543, 519, 2034, 2173, 739, 29245, 1310, 3571, 3966, 2723, 320, 267, 609, 936, 476, 1556, 2929, 11317, 563, 13051, 17010, 966, 1149, 729, 513, 20908, 3726, 804, 20143, 1282, 519, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 538, 32147, 3570, 267, 18010, 269, 1261, 2968, 1134, 8153, 585, 1010, 2090, 540, 24377, 269, 1261, 729, 519, 10615, 540, 519, 13804, 564, 673, 543, 25561, 1670, 25076, 540, 519, 9576, 5441, 540, 5617, 523, 538, 32147, 3570, 267, 543, 519, 2278, 540, 19750, 670, 6493, 538, 3204, 731, 547, 519, 4639, 4095, 15049, 21814, 267, 513, 960, 799, 729, 12261, 883, 2296, 676, 519, 2475, 13108, 543, 9783, 676, 519, 2136, 2276, 10281, 5766, 1429, 545, 8433, 563, 763, 2136, 2276, 8136, 28686, 17620, 630, 4785, 3008, 290, 264, 568, 513, 6498, 540, 519, 4972, 540, 519, 8136, 602, 5932, 543, 21314, 10618, 543, 1344, 1949, 585, 519, 4971, 543, 1852 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 271, 454, 825, 1247, 3193, 5091, 3704, 13843, 3178, 912, 1038, 1267, 815, 3178, 318, 15905, 318, 14142, 263, 11034, 267, 1439, 267, 3178, 994, 1038, 952, 1267, 912, 2018, 2132, 1267, 454, 1038, 3178, 6834, 476, 272, 454, 825, 2132, 7183, 267, 3178, 267, 476, 271, 7531, 3698, 3178, 318, 15905, 318, 14142, 263, 11034, 267, 1439, 267, 3193, 5091, 3704, 2187, 825, 20281, 815, 1496, 11034, 6540, 825, 6843, 5091, 3704, 815, 2715, 11034, 281, 476, 271, 348, 476, 1948, 5901, 338, 3950, 540, 875, 2620, 513, 6843, 568, 454, 825, 6843, 318, 5228, 17045, 815, 2715, 11034, 281, 7183, 348, 476, 1948, 853, 2803, 1141, 513, 6843, 3357, 689, 692, 825, 10272, 815, 11713, 825, 2698, 318, 30161, 1819, 815, 476, 271, 692, 825, 1247, 6936, 912, 1038, 952, 711, 20281, 912, 2018, 2132, 7183, 454, 1038, 6843, 815, 20281, 21014, 10797, 1038, 952, 711, 630, 27161, 5091, 3704, 19559, 1712, 316, 3436, 3193, 5091, 3704, 2187, 2018, 1948, 1403, 6843, 568, 3804, 267, 2132, 2619, 454, 2018, 952, 6843, 2652, 1439, 912, 3546, 2132, 18949, 24786, 27316, 318, 5228, 17045, 267, 1376, 267, 1439, 1070, 6843, 5091, 3704, 19559, 1712, 3910, 2698, 318, 30161, 1819, 692, 2018, 1948, 594, 614, 622, 30256, 540, 1699, 6843, 454, 2018, 585, 1985, 5332, 538, 6843, 269, 31371, 321, 2293, 912, 3546, 2698, 318, 30161, 1819, 6834, 476, 272, 692, 3546, 952, 630, 10113, 5332, 711, 538, 10272, 264, 543, 630, 10113, 5332, 711, 538, 20281, 2187, 7386, 20281, 6910, 263, 10113, 5332, 994, 7386, 6843, 5091, 3704, 314, 10113, 5332, 316, 815, 6843, 5091, 3704, 19559, 1712, 316, 1341, 476, 272, 454, 7386, 6843, 318, 5228, 17045, 314, 10113, 5332, 316, 815, 6843, 454, 7386, 10272, 6910, 263, 10113, 5332, 9239, 3698, 2196, 263, 11034, 267, 1439, 2187, 825, 2619, 267, 6603, 5091, 3704, 267, 2698, 4671, 3949, 815, 27952, 318, 1372, 788, 2287, 263, 11034, 267, 1439, 994, 825, 1820, 19629, 333, 1366, 734, 296, 614, 894, 268, 28308, 2287, 4149, 2514, 11778, 1366, 734, 5602, 825, 952, 2619, 568, 711, 7183, 912, 1038, 1820, 318, 709, 974, 9638, 987, 267, 1439, 994, 1038, 1820, 19629, 333, 14826, 3725, 3737, 3178, 281, 834, 1341, 1193, 263, 516, 3737, 5091, 3704, 4917, 1038, 1820, 2891, 13707, 2619, 9136, 281, 834, 1341, 1193, 12759, 9638, 987, 21875, 1038, 1820, 2891, 13707, 7318, 9136, 281, 834, 1341, 1193, 6025, 4973, 4671, 3949, 4917, 825, 3116, 912, 1038, 1820, 6600, 257, 315, 333, 3725, 3737, 3193, 3178, 910, 3143, 2619, 15419, 825, 3403, 19629, 333, 18208, 4283, 547, 3136, 1862, 315, 333, 14826, 5602, 0, 258, 567, 5358, 1067, 532, 560, 2131, 23364, 1357, 321, 330, 2720, 918, 8025, 538, 331, 7564, 332, 11789, 6269, 326, 3424, 476, 272, 563, 258, 567, 3331, 500, 345, 30516, 631, 7398, 3832, 341, 454, 258, 567, 476, 1001, 276, 268, 6187, 268, 1240, 454, 258, 567, 3331, 483, 330, 7188, 1130, 6767, 1140, 21531, 5406, 1199, 546, 28225, 2215, 527, 10216, 1982, 780, 258, 567, 1323, 341, 7564, 837, 535, 7238, 3944, 617, 331, 3394, 535, 23152, 544, 18033, 978, 320, 942, 4732, 2748, 3890, 2367, 632, 575, 23152, 1033, 561, 924, 887, 5554, 732, 13718, 5814, 19523, 454, 5814, 942, 454, 5228, 4351, 1104, 28219, 842, 692, 258, 567, 8111, 737, 20199, 454, 5035, 1140, 21531, 5406, 24998, 2187, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 8766, 3891, 697, 267, 28040, 2690, 576, 267, 3280, 267, 9623, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 2381, 2711, 3891, 697, 815, 8766, 3891, 697, 454, 1038, 1582, 3052, 9545, 2690, 576, 815, 28040, 2690, 576, 454, 1038, 1582, 14714, 9850, 815, 476, 276, 454, 1038, 1582, 4732, 895, 815, 3280, 454, 1038, 1582, 29335, 815, 9623, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 10907, 5120, 725, 330, 2761, 2433, 834, 1341, 1193, 4311, 3052, 9545, 2690, 576, 264, 1341, 834, 294, 14826, 257, 315, 454, 25639, 834, 14737, 574, 559, 7564, 978, 323, 281, 834, 1341, 1193, 4311, 269, 2381, 2711, 3891, 697, 264, 1341, 834, 9492, 834, 1341, 26444, 25639, 834, 263, 291, 340, 281, 257, 1341, 1193, 263, 12528, 3891, 697, 264, 1341, 834, 9385, 333, 257, 26444, 25639, 834, 1805, 9850, 281, 834, 1341, 1193, 4311, 14714, 9850, 264, 1341, 27719, 333, 14826, 257, 1341, 26444, 3546, 1582, 29335, 1341, 27719, 333, 5016, 825, 1219, 1376, 4311, 2187, 1038, 1820, 2891, 16920, 21531, 5406, 523, 1376, 541, 2580, 1439, 284, 3269, 994, 1038, 585, 1775, 538, 2039, 263, 274, 2187, 2018, 1820, 2891, 1701, 267, 1439, 284, 3269, 994, 2018, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 1820, 19629, 333, 5602, 1038, 585, 1775, 538, 1582, 4732, 895, 912, 2018, 1820, 9217, 994, 2018, 942, 4732, 2748, 263, 272, 994, 1038, 1820, 19629, 333, 30755, 19241, 675, 333, 3331, 353, 337, 1793, 583, 256, 315, 333, 5602, 1038, 952, 4311, 2652, 10917, 601, 2187, 2018, 1582, 14714, 9850, 20699, 476, 275, 454, 1038, 3116, 912, 2018, 1582, 14714, 9850, 20699, 476, 273, 454, 1038, 942, 4732, 2748, 263, 272, 2020, 825, 1219, 688, 591, 328, 4311, 2187, 1038, 1820, 2891, 265, 298, 299, 7419, 298, 256, 265, 5602, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 1820, 2891, 265, 17269, 29996, 256, 265, 5602, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 1820, 2891, 28808, 523, 2484, 320, 267, 1140, 21531, 5406, 523, 3771, 575, 18033, 1777, 521, 7238, 837, 256, 315, 333, 257, 26444, 23526, 834, 300, 2131, 534, 32304, 3331, 353, 337, 533, 18033, 642, 7564, 326, 267, 737, 558, 11489, 321, 10440, 6845, 732, 256, 315, 333, 5602, 1038, 942, 4732, 2748, 263, 273, 994, 1038, 1292, 263, 271, 2020, 258, 567, 5136, 329, 2131, 339, 5443, 344, 454, 3698, 1843, 24464, 340, 263, 19417, 267, 1843, 17107, 825, 1820, 24464, 340, 2891, 15953, 2580, 1843, 994, 825, 3903, 815, 3403, 2891, 2304, 613, 1130, 281, 19515, 825, 1820, 19629, 333, 5602, 8931, 825, 1247, 263, 12148, 2187, 13872, 1038, 952, 3903, 2652, 1412, 272, 12466, 2018, 1820, 24998, 994, 2018, 942, 4732, 2748, 263, 275, 994, 2018, 1820, 24464, 340, 2891, 15953, 2580, 1843, 994, 2018, 3903, 815, 3403, 2891, 2304, 613, 1130, 281, 19515, 2018, 1820, 19629, 333, 5602, 27030, 1038, 1948, 567, 670, 11232, 328, 476, 1839, 260, 669, 753, 454, 1038, 8640, 3903, 2652, 1412, 273, 12466, 2018, 688, 591, 328, 815, 28219, 842, 263, 271, 267, 274, 994, 27030, 2018, 952, 688, 591, 328, 2652, 476, 271, 912, 3546, 1843, 269, 3873, 591, 328, 4590, 4449, 454, 2018, 8640, 1843, 14714, 9850, 10922, 476, 271, 912, 3546, 1820, 2891, 16920, 21531, 5406, 523, 3331, 353, 337, 521, 7238, 837, 2367, 679, 803, 16988, 32304, 3331, 353, 337, 11489, 330, 718, 611, 14826, 257, 26444, 4449, 8587, 834, 298, 558, 575, 7564, 337, 3534, 11489, 321, 10440, 6845, 732, 256, 315, 333, 5602, 3546, 1843, 14714, 9850, 815, 476, 276, 454, 3546, 942, 4732, 2748, 263, 273, 994, 3546, 1292, 263, 271, 2020, 2018, 1948, 567, 918, 20683, 561, 7564, 978, 323, 23950, 7564, 985, 523, 1199, 606, 341, 7564, 526, 732, 985, 4463, 522, 577, 1376, 541, 454, 2018, 3116, 912, 3546, 952, 4463, 13843, 1843, 269, 2381, 2711, 3891, 697, 912, 7386, 1843, 269, 11034, 3890, 4449, 8931, 3546, 3116, 912, 7386, 1820, 2891, 291, 340, 3331, 353, 337, 535, 23152, 737, 677, 535, 23152, 1140, 3331, 354, 6390, 546, 28225, 1140, 21531, 5406, 256, 1422, 333, 257, 26444, 4449, 16875, 834, 14737, 574, 559, 7564, 978, 323, 3331, 353, 337, 4939, 323, 4699, 26142, 333, 257, 26444, 4449, 16875, 834, 291, 514, 561, 7564, 978, 323, 3331, 353, 337, 4939, 323, 4699, 907, 315, 333, 257, 4939, 26444, 4449, 16875, 630, 15953, 269, 2381, 2711, 3891, 697, 267, 3593, 3891, 697, 4917, 4449, 8931, 7386, 942, 4732, 2748, 263, 273, 2020, 3546, 1820, 24464, 340, 2891, 15953, 2580, 1843, 994, 3546, 3903, 815, 3403, 2891, 2304, 613, 1130, 281, 19515, 3546, 1820, 19629, 333, 5602, 4449, 454, 1038, 8640, 3903, 2652, 1412, 274, 12466, 2018, 1292, 263, 271, 2020, 1038, 3116, 912, 2018, 1820, 2891, 302, 326, 2830, 580, 538, 3901, 940, 256, 674, 7238, 3464, 7238, 330, 476, 3394, 256, 315, 333, 5602, 2018, 3903, 815, 3403, 2891, 2304, 613, 1130, 281, 19515, 2018, 1820, 19629, 333, 5602, 258, 17484, 630, 15953, 24464, 340, 9239, 3698, 1820, 24464, 340, 263, 6943, 267, 1843, 2187, 8931, 825, 952, 1826, 2652, 834, 15953, 13426, 1038, 1820, 2891, 309, 7564, 331, 330, 2174, 523, 11489, 834, 1341, 1843, 20508, 1341, 834, 256, 315, 333, 257, 1341, 26444, 23526, 834, 476, 272, 269, 6250, 320, 1344, 14826, 257, 1341, 26444, 23526, 834, 476, 273, 269, 3331, 483, 330, 1140, 21531, 5406, 14826, 257, 1341, 26444, 23526, 834, 476, 274, 269, 3331, 483, 614, 341, 7564, 526, 11489, 554, 12320, 644, 5443, 2106, 14826, 5602, 13872, 825, 8640, 1826, 2652, 834, 10852, 13426, 1038, 1820, 2891, 3891, 329, 522, 577, 642, 7564, 331, 330, 2174, 523, 11489, 772, 4135, 1749, 1633, 564, 256, 315, 333, 257, 26444, 23526, 834, 309, 7564, 331, 329, 642, 559, 5287, 1140, 21531, 5406, 5918, 5636, 3331, 354, 6390, 1199, 24097, 333, 257, 26444, 23526, 834, 476, 272, 269, 667, 3626, 918, 691, 14826, 257, 26444, 23526, 834, 476, 273, 269, 15609, 10965, 584, 3757, 14826, 257, 26444, 23526, 834, 476, 274, 269, 5489, 674, 7238, 3464, 330, 337, 7564, 1188, 339, 553, 7843, 335, 601, 14826, 257, 26444, 23526, 834, 476, 275, 269, 1323, 613, 561, 7564, 978, 323, 476, 3394, 14826, 257, 26444, 23526, 834, 476, 276, 269, 700, 7564, 332, 3534, 6288, 523, 14826, 5602, 825, 3116, 912, 1038, 1780, 22562, 258, 17484, 630, 2745, 24464, 340, 9239, 258, 567, 670, 12320, 644, 5443, 344, 454, 3698, 1292, 9852, 1712, 17107, 825, 952, 9852, 1712, 2652, 834, 19417, 257, 2187, 1038, 2518, 3593, 3891, 697, 454, 1038, 3593, 3891, 697, 815, 703, 9272, 2891, 2304, 613, 7188, 561, 7564, 978, 323, 1775, 4699, 281, 27328, 1038, 1820, 19629, 333, 5602, 13872, 1038, 1247, 263, 12528, 3891, 697, 2999, 476, 8099, 610, 3593, 3891, 697, 3436, 476, 13975, 2187, 2018, 952, 3593, 3891, 697, 2999, 476, 8099, 912, 3546, 1820, 2891, 291, 340, 3331, 353, 337, 535, 23152, 737, 677, 535, 23152, 1140, 3331, 354, 6390, 562, 18033, 6588, 1140, 21531, 5406, 518, 26142, 333, 257, 26444, 4449, 8587, 834, 293, 7238, 3464, 7238, 330, 476, 3394, 256, 315, 333, 5602, 2018, 3116, 912, 3546, 1820, 2891, 294, 7564, 337, 3534, 679, 26079, 5554, 561, 7564, 978, 323, 6902, 9385, 333, 5602, 4449, 454, 2018, 3593, 3891, 697, 815, 703, 9272, 2891, 2304, 613, 7188, 561, 7564, 978, 323, 1775, 4699, 281, 27328, 2018, 1820, 19629, 333, 5602, 825, 3116, 912, 1038, 1780, 28329, 825, 1820, 24464, 340, 2891, 10852, 2580, 1843, 994, 825, 3903, 815, 3403, 2891, 20597, 337, 643, 538, 546, 8636, 1130, 281, 19515, 825, 1820, 19629, 333, 5602, 8931, 825, 1247, 263, 12148, 2187, 13872, 1038, 952, 630, 577, 4069, 2652, 1412, 272, 262, 2187, 2018, 1843, 24464, 340, 263, 12528, 3891, 697, 267, 546, 3626, 298, 691, 994, 27030, 1038, 8640, 630, 577, 4069, 2652, 1412, 273, 262, 2187, 2018, 1843, 24464, 340, 263, 12528, 3891, 697, 267, 949, 320, 27409, 584, 3757, 994, 27030, 1038, 8640, 630, 577, 4069, 2652, 1412, 274, 262, 2187, 2018, 1843, 24464, 340, 263, 12528, 3891, 697, 267, 10917, 601, 994, 27030, 1038, 8640, 630, 577, 4069, 2652, 1412, 275, 262, 2187, 2018, 1292, 2891, 19417, 5602, 27030, 1038, 8640, 630, 577, 4069, 2652, 1412, 276, 262, 2187, 2018, 1820, 2891, 307, 871, 522, 577, 642, 7564, 331, 330, 2174, 523, 3331, 354, 614, 32405, 2018, 942, 4732, 2748, 263, 272, 994, 2018, 19523, 20216, 527, 4590, 27030, 1038, 3116, 912, 2018, 1820, 2891, 302, 326, 2830, 580, 538, 3901, 940, 256, 674, 7238, 3464, 7238, 330, 476, 3394, 256, 315, 333, 5602, 2018, 3903, 815, 3403, 2891, 20597, 337, 643, 538, 546, 8636, 1130, 281, 19515, 258, 17484, 630, 10852, 9239, 258, 567, 5900, 571, 19241, 687, 516, 330, 4594, 454, 323, 3626, 305, 2131, 815, 834, 308, 653, 4582, 737, 7564, 985, 17427, 1285, 1140, 737, 7238, 571, 6830, 1024, 558, 546, 329, 2426, 601, 985, 959, 7564, 323, 834, 26444, 23526 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28408, 513, 1376, 543, 1439, 4994, 269, 769, 713, 2013, 267, 649, 616, 25935, 782, 2609, 689, 519, 2034, 3693, 630, 8161, 476, 272, 264, 547, 519, 1439, 540, 519, 1592, 563, 3499, 7090, 454, 318, 12399, 815, 1582, 269, 12399, 314, 272, 281, 2639, 8199, 273, 269, 634, 1985, 1899, 540, 3009, 5932, 513, 1007, 4137, 609, 2185, 1016, 30831, 1210, 21267, 781, 2387, 11357, 30831, 319, 1599, 269, 634, 2387, 333, 4900, 319, 9936, 23403, 519, 1297, 540, 9343, 538, 519, 1016, 7120, 7470, 267, 543, 519, 2387, 6247, 11712, 9078, 599, 719, 319, 9936, 5849, 602, 519, 1016, 30831, 616, 5265, 13988, 269, 634, 1599, 7024, 513, 24042, 5627, 519, 4137, 1843, 543, 513, 1592, 540, 17887, 3615, 267, 835, 585, 1142, 1016, 7120, 563, 3499, 7090, 454, 14808, 267, 630, 1314, 271, 267, 4949, 272, 267, 4949, 273, 267, 4949, 274, 264, 815, 12301, 16553, 30831, 3799, 4900, 284, 275, 267, 28653, 9078, 599, 719, 18989, 994, 8199, 274, 269, 634, 3009, 1287, 17787, 998, 1142, 1883, 538, 519, 2387, 318, 12399, 319, 1592, 543, 11974, 952, 621, 568, 1459, 538, 2901, 519, 2387, 14179, 5653, 319, 610, 2387, 9690, 319, 8638, 269, 1403, 621, 568, 267, 519, 3009, 13602, 519, 1239, 585, 602, 1883, 593, 519, 3617, 1016, 7120, 543, 15824, 674, 10499, 2079, 593, 519, 1239, 1210, 519, 2387, 742, 339, 318, 534, 3315, 10045, 319, 1599, 269, 634, 2164, 540, 519, 674, 10499, 2079, 616, 1287, 28367, 593, 519, 7222, 1016, 7120, 563, 3499, 7090, 454, 1721, 737, 538, 1292, 318, 12399, 912, 825, 952, 737, 538, 6453, 912, 1038, 4949, 271, 19502, 4311, 21606, 25208, 7481, 1038, 586, 325, 267, 586, 325, 8548, 698, 318, 9418, 267, 1535, 325, 267, 1376, 16229, 267, 715, 267, 570, 815, 1582, 269, 742, 339, 318, 534, 3315, 10045, 17347, 994, 1038, 4949, 272, 19502, 3287, 325, 267, 586, 325, 8548, 698, 318, 9418, 994, 825, 952, 737, 538, 1699, 912, 1038, 4949, 273, 19502, 4311, 21606, 25208, 7481, 1038, 586, 325, 267, 586, 325, 8548, 698, 318, 9418, 267, 1535, 325, 267, 1376, 16229, 267, 715, 267, 570, 815, 1582, 269, 742, 339, 318, 534, 3315, 10045, 17347, 994, 1038, 4949, 274, 19502, 3287, 325, 267, 586, 325, 8548, 698, 318, 9418, 994, 8199, 275, 269, 7053, 267, 519, 3009, 5036, 519, 10297, 585, 1142, 1016, 7120, 543, 7024, 519, 4137, 1843, 563, 3499, 7090, 454, 1314, 271, 15630, 13448, 16932, 3488, 5503, 1496, 338, 316, 5073, 1314, 271, 15630, 318, 29786, 3488, 14179, 5653, 9588, 5073, 1314, 271, 269, 5586, 754, 263, 14179, 5653, 2020, 1314, 272, 15630, 13448, 16932, 3488, 325, 516, 336, 5073, 1314, 272, 15630, 318, 29786, 3488, 332, 1725, 3363, 630, 342, 4135, 6453, 264, 5073, 1314, 272, 269, 5586, 754, 263, 14179, 5653, 2020, 1314, 273, 15630, 13448, 16932, 3488, 5503, 1496, 338, 316, 5073, 1314, 273, 15630, 318, 29786, 3488, 9690, 9588, 5073, 1314, 273, 269, 5586, 754, 263, 9690, 2020, 1314, 274, 15630, 13448, 16932, 3488, 325, 516, 336, 5073, 1314, 274, 15630, 318, 29786, 3488, 332, 1725, 3363, 630, 342, 4135, 1699, 264, 5073, 1314, 274, 269, 5586, 754, 263, 9690, 994, 8873, 4453, 454, 8199, 2162, 16258, 22263, 17992, 630, 293, 10499, 264, 5811, 692, 3086, 602, 649, 723, 513, 2596, 1620, 540, 519, 3009, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 1018, 674, 10499, 2079, 568, 543, 1946, 621, 568, 1271, 780, 293, 10499, 2079, 568, 513, 6310, 4480, 1031, 547, 2981, 513, 942, 26730, 664, 5365, 883, 922, 4908, 26730, 664, 6041, 269, 901, 568, 3730, 1317, 621, 2636, 721, 547, 1294, 519, 1114, 12451, 1459, 538, 519, 5365, 543, 875, 789, 1689, 936, 942, 780, 1103, 519, 2796, 540, 713, 3009, 6256, 267, 519, 2387, 742, 339, 318, 534, 3315, 10045, 319, 1599, 568, 1031, 547, 1685, 674, 10499, 2079, 593, 519, 1239, 585, 1142, 1883, 538, 519, 2387, 318, 12399, 319, 1592, 269, 634, 1599, 7024, 1896, 4632, 267, 1519, 2387, 344, 325, 12452, 799, 3568, 519, 4908, 26730, 664, 6041, 540, 519, 5365, 267, 543, 2387, 344, 325, 8548, 698, 318, 9418, 12452, 799, 3568, 519, 9588, 540, 519, 4908, 26730, 664, 6041, 780, 2162, 18140, 1154, 519, 11778, 692, 5629, 519, 674, 10499, 2079, 568, 2347, 267, 519, 3009, 13602, 519, 2164, 593, 519, 7222, 1016, 7120, 269, 634, 1535, 14289, 540, 519, 4729, 4564, 519, 4908, 540, 519, 5365, 267, 543, 519, 586, 14289, 4564, 519, 9588, 540, 519, 4908, 26730, 664, 6041, 780, 763, 4611, 13602, 666, 581, 1031, 547, 2744, 4030, 883, 519, 1239, 269, 1280, 1383, 267, 649, 666, 1294, 799, 12451, 616, 1459, 538, 519, 5365, 543, 875, 741, 3172, 6421, 1689, 936, 942, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 723, 8268, 875, 547, 946, 5124, 547, 5659, 543, 14650, 1239, 1210, 21267, 543, 11885, 269, 1284, 723, 849, 4121, 827, 674, 10499, 2079, 543, 875, 621, 666, 581, 1031, 547, 2744, 4030, 883, 942, 26730, 664, 6786, 269, 1635, 1620, 891, 2035, 267, 649, 666, 2253, 547, 1020, 938, 7744, 543, 5690, 545, 1983, 543, 4019, 873, 547, 1483, 8996, 1239, 2079, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 318, 12399, 815, 1582, 269, 12399, 314, 272, 281, 2639, 1038, 1948, 535, 1111, 5659, 585, 1142, 2680, 692, 1038, 4453, 267, 630, 1314, 271, 267, 4949, 272, 267, 4949, 273, 267, 4949, 274, 264, 815, 12301, 16553, 30831, 3799, 4900, 284, 275, 267, 28653, 9078, 599, 719, 18989, 994, 1038, 585, 737, 538, 1292, 318, 12399, 912, 2018, 952, 737, 538, 6453, 912, 3546, 4949, 271, 19502, 4311, 21606, 25208, 7481, 3546, 586, 325, 267, 586, 325, 8548, 698, 318, 9418, 267, 1535, 325, 267, 1376, 16229, 267, 715, 267, 570, 815, 1582, 269, 742, 339, 318, 534, 3315, 10045, 17347, 994, 3546, 4949, 272, 19502, 3287, 325, 267, 586, 325, 8548, 698, 318, 9418, 994, 2018, 952, 737, 538, 1699, 912, 3546, 4949, 273, 19502, 4311, 21606, 25208, 7481, 3546, 586, 325, 267, 586, 325, 8548, 698, 318, 9418, 267, 1535, 325, 267, 1376, 16229, 267, 715, 267, 570, 815, 1582, 269, 742, 339, 318, 534, 3315, 10045, 17347, 994, 3546, 4949, 274, 19502, 3287, 325, 267, 586, 325, 8548, 698, 318, 9418, 994, 1038, 4949, 271, 15630, 13448, 16932, 3488, 5503, 1496, 338, 316, 5073, 1038, 4949, 271, 15630, 318, 29786, 3488, 14179, 5653, 9588, 5073, 1038, 4949, 271, 269, 5586, 754, 263, 14179, 5653, 2020, 1038, 4949, 272, 15630, 13448, 16932, 3488, 325, 516, 336, 5073, 1038, 4949, 272, 15630, 318, 29786, 3488, 332, 1725, 3363, 630, 342, 4135, 6453, 264, 5073, 1038, 4949, 272, 269, 5586, 754, 263, 14179, 5653, 2020, 1038, 4949, 273, 15630, 13448, 16932, 3488, 5503, 1496, 338, 316, 5073, 1038, 4949, 273, 15630, 318, 29786, 3488, 9690, 9588, 5073, 1038, 4949, 273, 269, 5586, 754, 263, 9690, 2020, 1038, 4949, 274, 15630, 13448, 16932, 3488, 325, 516, 336, 5073, 1038, 4949, 274, 15630, 318, 29786, 3488, 332, 1725, 3363, 630, 342, 4135, 1699, 264, 5073, 1038, 4949, 274, 269, 5586, 754, 263, 9690, 994, 1038, 2132, 4453, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 8278, 27036, 770, 525, 5811, 692, 8702, 547, 938, 3408, 540, 835, 540, 519, 1034, 2219, 4538, 2835, 538, 519, 12355, 6426, 256, 1284, 3513, 4685, 883, 519, 3883, 540, 8278, 27036, 770, 525, 267, 799, 568, 851, 540, 519, 6196, 11620, 543, 2808, 7326, 3332, 269, 18838, 676, 3751, 21125, 610, 2576, 3116, 1210, 1010, 2012, 267, 713, 1433, 12651, 2055, 827, 1272, 543, 3091, 930, 4241, 4267, 269, 1924, 10544, 707, 3206, 11503, 267, 543, 1577, 781, 1205, 3323, 2439, 1262, 6637, 476, 272, 281, 4985, 547, 8278, 27036, 770, 525, 4373, 763, 2278, 540, 8278, 27036, 770, 525, 7125, 5128, 834, 304, 334, 515, 2280, 2437, 799, 1797, 834, 974, 12329, 257, 610, 834, 2181, 12329, 1701, 1627, 334, 515, 2280, 32625, 1272, 543, 8843, 741, 4555, 609, 721, 269, 1358, 2263, 3584, 899, 8788, 267, 5763, 267, 960, 267, 543, 2669, 1107, 1919, 1169, 1480, 1373, 13300, 827, 693, 930, 1448, 269, 1809, 1810, 1405, 2503, 2241, 4267, 282, 3079, 267, 5965, 3054, 585, 2620, 18759, 543, 19433, 673, 4030, 2439, 1262, 6637, 476, 273, 281, 6206, 14313, 538, 8278, 27036, 770, 525, 4373, 265, 31819, 1772, 12791, 1652, 286, 22177, 3080, 4583, 10839, 689, 8278, 27036, 770, 525, 4422, 899, 713, 281, 834, 30547, 1652, 256, 12791, 1652, 10590, 3081, 519, 11819, 269, 834, 25219, 614, 569, 2495, 1652, 256, 18421, 568, 2495, 1652, 1701, 630, 31319, 27036, 770, 525, 476, 272, 281, 273, 1040, 1548, 1281, 621, 1611, 286, 4270, 267, 950, 649, 1224, 2417, 267, 649, 1265, 856, 602, 1627, 334, 515, 2280, 11099, 4986, 5963, 16569, 11014, 1765, 2254, 13284, 1127, 267, 21239, 267, 6862, 1256, 7326, 3294, 269, 1717, 267, 789, 849, 2303, 972, 616, 1869, 1434, 4128, 547, 2972, 1272, 1247, 649, 666, 269, 898, 1522, 3280, 8909, 267, 855, 1832, 2542, 1317, 972, 781, 1454, 811, 3178, 547, 891, 2093, 2439, 265, 23804, 20717, 27933, 14087, 2006, 775, 22177, 8601, 9301, 875, 7904, 7566, 3388, 568, 267, 1627, 334, 515, 2280, 7512, 3988, 547, 9784, 7772, 543, 12257, 2094, 1346, 8090, 3142, 9547, 269, 1280, 1383, 267, 4189, 1134, 267, 2324, 2182, 267, 543, 11981, 31070, 782, 3565, 547, 2713, 513, 16180, 1272, 269, 4634, 1498, 4986, 786, 22036, 267, 7680, 10508, 2306, 938, 942, 1934, 26656, 780, 1262, 6637, 476, 274, 281, 16792, 8278, 27036, 770, 525, 4653, 4373, 1320, 748, 1343, 540, 1296, 1310, 621, 729, 2854, 267, 1082, 1004, 1869, 1921, 609, 519, 10752, 1336, 1369, 8278, 27036, 770, 525, 269, 901, 2982, 1175, 875, 15851, 922, 5048, 2731, 568, 256, 1879, 6849, 2591, 610, 15819, 938, 3483, 267, 649, 666, 1451, 3407, 4245, 689, 1627, 334, 515, 2280, 781, 1660, 902, 269, 2368, 1883, 1491, 25498, 1331, 1384, 272, 269, 31158, 1578, 519, 6650, 2006, 775, 540, 1272, 267, 2943, 10027, 880, 1142, 4090, 563, 273, 269, 16418, 3666, 1063, 20678, 585, 9740, 543, 4466, 4708, 538, 4948, 2833, 563, 274, 269, 22737, 519, 10848, 540, 1272, 2864, 982, 10478, 585, 2653, 3435, 563, 275, 269, 4855, 7772, 538, 3347, 267, 2470, 267, 1565, 267, 543, 5876, 780, 3528, 3695, 8278, 27036, 770, 525, 1927, 267, 596, 4312, 24389, 2390, 606, 6909, 3460, 998, 3504, 7326, 602, 3788, 4143, 2221, 269, 1306, 596, 3136, 4974, 3909, 5931, 543, 11432, 1359, 2462, 2055, 267, 3314, 602, 3006, 519, 1034, 7096, 18408, 8451, 689, 21679, 609, 7805, 32475, 543, 8508, 10462, 269, 8414, 8906, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 5990, 631, 2839, 291, 4041, 17985, 2464, 454, 268, 910, 4813, 894, 8648, 630, 278, 628, 547, 476, 1556, 628, 2578, 3753, 264, 910, 634, 24083, 718, 1436, 540, 6014, 19744, 9177, 630, 1321, 628, 1700, 1428, 628, 2578, 3753, 264, 910, 21846, 547, 7073, 8648, 630, 1626, 628, 1700, 1704, 628, 2578, 3753, 264, 910, 13528, 894, 8648, 630, 278, 628, 547, 476, 1556, 628, 2578, 3753, 264, 634, 21037, 540, 519, 14655, 10504, 676, 7332, 4229, 21933, 3438, 730, 4874, 1492, 1143, 607, 513, 2797, 3196, 936, 519, 3003, 16880, 540, 6014, 6228, 269, 7642, 1185, 547, 934, 2396, 2933, 547, 519, 3510, 602, 2429, 834, 1492, 2898, 1158, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8752, 7076, 2326, 899, 3327, 6775, 267, 11956, 267, 543, 1164, 3613, 31104, 5374, 616, 1373, 11368, 883, 6174, 6272, 547, 2569, 2597, 1510, 18731, 3106, 269, 3958, 267, 10316, 543, 11690, 2987, 10316, 6472, 9192, 4835, 13674, 9817, 609, 3167, 1379, 547, 3035, 4824, 4492, 4346, 543, 2539, 5434, 269, 1452, 7760, 3565, 547, 6940, 543, 7413, 519, 2825, 1764, 540, 6283, 563, 763, 16669, 2872, 568, 18460, 513, 13710, 5123, 267, 9141, 676, 14262, 10124, 602, 9153, 513, 2104, 540, 10930, 267, 22928, 267, 543, 811, 4448, 6283, 269, 11272, 6472, 267, 14628, 6117, 267, 4448, 6517, 267, 4359, 9920, 6351, 1949, 267, 21284, 4641, 267, 6174, 3562, 268, 557, 327, 1834, 2792, 267, 543, 1648, 18026, 4066, 616, 18534, 12686, 519, 1259, 649, 5397, 543, 22338, 519, 1259, 585, 513, 1007, 5736, 540, 10688, 269, 1306, 891, 10124, 3136, 547, 11457, 543, 1831, 811, 3015, 267, 649, 666, 1413, 4464, 547, 513, 2104, 1141, 6117, 568, 711, 1152, 3608, 543, 4264, 855, 849, 10930, 543, 811, 11791, 269, 0, 7069, 9510, 8250, 3893, 513, 2370, 12746, 21015, 31296, 585, 1200, 14512, 513, 1906, 2395, 3516, 269, 1924, 2484, 1352, 14560, 9849, 621, 630, 9917, 4941, 547, 5957, 621, 547, 5127, 2063, 3781, 264, 543, 568, 2864, 3533, 1565, 875, 547, 2995, 942, 609, 621, 269, 1306, 596, 1522, 2503, 267, 519, 4585, 814, 19430, 513, 1906, 2055, 1519, 968, 6011, 1281, 621, 960, 9495, 1403, 596, 1053, 610, 1453, 540, 707, 1378, 945, 991, 547, 1451, 875, 547, 2995, 942, 593, 606, 12746, 4585, 267, 1934, 616, 513, 7008, 540, 1434, 2200, 547, 2263, 563, 27398, 5984, 3091, 513, 1863, 3014, 1572, 519, 5384, 13488, 10794, 602, 568, 2966, 547, 948, 2875, 2259, 10213, 942, 269, 634, 1523, 540, 519, 3014, 568, 602, 1053, 616, 2016, 513, 5401, 899, 968, 3553, 519, 9219, 547, 476, 275, 600, 892, 543, 789, 723, 547, 1847, 519, 3946, 540, 519, 9219, 547, 519, 2953, 2990, 269, 3962, 1377, 540, 519, 3014, 3568, 4557, 12987, 269, 589, 2370, 15177, 6928, 568, 9250, 950, 789, 7157, 2626, 519, 4557, 12987, 593, 513, 1377, 269, 594, 5129, 519, 3014, 713, 6640, 543, 594, 1131, 3810, 4363, 602, 1053, 2901, 1404, 621, 593, 513, 5905, 5496, 610, 946, 513, 10856, 2864, 982, 513, 3950, 25247, 547, 1847, 519, 3946, 540, 519, 9219, 538, 519, 3014, 563, 1432, 5384, 1772, 898, 286, 568, 606, 2534, 1433, 10959, 2139, 689, 2052, 9366, 269, 634, 10959, 814, 4557, 3817, 269, 3962, 2985, 814, 513, 9219, 593, 621, 543, 513, 5401, 899, 968, 527, 779, 22221, 1848, 4841, 723, 547, 2721, 538, 519, 3946, 540, 519, 9219, 547, 6474, 519, 5401, 593, 519, 2985, 269, 1306, 713, 568, 513, 2052, 9366, 10959, 267, 596, 666, 1118, 513, 5299, 543, 12189, 621, 585, 707, 1053, 685, 2115, 563, 2304, 19960, 571, 742, 338, 814, 513, 2442, 3381, 602, 6941, 875, 513, 7344, 4585, 1568, 269, 634, 27515, 5916, 609, 519, 5639, 1478, 1118, 621, 2653, 547, 1174, 875, 519, 2694, 540, 513, 4585, 960, 1927, 547, 1832, 942, 269, 0, 23536, 8438, 12490, 3277, 547, 519, 2249, 543, 12490, 540, 2661, 4551, 267, 971, 607, 32587, 984, 26808, 3679, 17232, 639, 610, 645, 604, 573, 14385, 1756, 1279, 636, 267, 1031, 538, 32714, 9360, 269, 1452, 12490, 1590, 2611, 9800, 538, 6190, 2338, 547, 1683, 2640, 950, 10057, 269, 7402, 2355, 1637, 2029, 14014, 32714, 12490, 689, 9552, 676, 7181, 3679, 543, 2636, 6765, 547, 519, 24026, 269, 7756, 2409, 616, 6964, 4470, 593, 519, 1826, 540, 32714, 1587, 563, 3963, 1684, 1284, 10261, 11525, 7821, 888, 2080, 616, 930, 2175, 602, 22763, 949, 948, 1521, 610, 2087, 912, 23536, 7821, 666, 948, 14867, 8886, 762, 15108, 6794, 630, 296, 7034, 264, 2589, 971, 607, 14159, 1928, 267, 26533, 267, 3154, 543, 13165, 610, 19228, 269, 11525, 7821, 949, 11177, 3666, 547, 519, 8937, 4551, 543, 2087, 8937, 11064, 8699, 538, 30214, 563, 23536, 7821, 666, 948, 2333, 22454, 4908, 543, 14867, 19228, 269, 11525, 7821, 1683, 1434, 4551, 547, 948, 1847, 22454, 998, 519, 24026, 269, 5525, 1397, 22763, 949, 948, 3132, 29779, 267, 811, 7928, 588, 8962, 543, 6175, 2269, 1456, 538, 1526, 760, 730, 2043, 563, 23536, 7821, 666, 948, 2569, 6553, 538, 519, 8937, 799, 949, 896, 12340, 1585, 9667, 2042, 269, 1635, 10970, 11868, 8937, 6553, 267, 22763, 949, 6175, 2589, 899, 16081, 4771, 267, 1928, 267, 3154, 267, 13165, 543, 22454, 2242, 269, 25841, 6553, 949, 849, 1683, 824, 1072, 2640, 936, 519, 1279, 3856, 563, 23536, 7821, 666, 948, 3666, 519, 8937, 18508, 1310, 513, 1576, 540, 11216, 269, 25095, 7821, 6146, 1434, 4551, 2059, 609, 13311, 4551, 269, 11525, 7821, 5372, 4503, 6225, 4551, 543, 948, 2061, 6281, 5563, 899, 13165, 269, 1358, 949, 849, 7413, 824, 2104, 8937, 1072, 2152, 1813, 547, 15084, 946, 563, 23536, 7821, 666, 3986, 519, 8937, 11064, 543, 12046, 269, 1635, 5009, 513, 2635, 8937, 16298, 543, 7059, 8937, 18508, 267, 22763, 949, 948, 2061, 24694, 540, 6878, 689, 519, 24026, 883, 519, 18072, 269, 589, 6793, 8937, 11064, 543, 7059, 8937, 18508, 616, 13615, 547, 23904, 4761, 1599, 563, 23536, 7821, 949, 1404, 513, 1909, 538, 8165, 1426, 13871, 4576, 543, 2489, 8937, 5563, 269, 1635, 7715, 3429, 856, 5739, 4551, 543, 7393, 2067, 23640, 267, 1978, 32714, 12490, 1223, 948, 2061, 2152, 899, 2951, 518, 779, 13165, 610, 824, 9667, 5563, 543, 2087, 6051, 269, 12186, 616, 8833, 17466, 563, 23536, 7821, 616, 5532, 547, 2318, 2360, 593, 519, 8401, 1062, 543, 2634, 1813, 547, 8937, 1532, 1778, 4296, 269, 11525, 7821, 1223, 948, 6175, 2589, 540, 4160, 610, 4965, 543, 949, 3310, 17133, 543, 7099, 998, 8937, 2173, 2222, 2041, 4205, 269, 1717, 267, 811, 1382, 568, 1869, 2877, 563, 4407, 22763, 9153, 1585, 9667, 543, 2489, 1072, 2640, 267, 789, 949, 711, 581, 5078, 610, 2500, 538, 782, 2043, 610, 585, 930, 5817, 2175, 269, 11525, 8438, 12490, 267, 13121, 1137, 543, 6765, 12043, 1590, 581, 3358, 547, 1808, 1072, 2115, 269, 2659, 10629, 1058, 29343, 7110, 946, 1759, 593, 5868, 543, 2126, 1544, 585, 1655, 4093, 563, 1607, 3322, 7080, 2056, 32714, 12490, 538, 513, 3070, 267, 1419, 765, 344, 610, 8970, 560, 1105, 543, 1236, 574, 5144, 267, 1287, 30574, 873, 883, 513, 3905, 12068, 269, 634, 1216, 538, 519, 20256, 3533, 18493, 919, 267, 6028, 32314, 19273, 5627, 2661, 4551, 269, 1452, 19273, 1331, 8825, 6106, 540, 5946, 543, 11950, 547, 13104, 4551, 269, 634, 8869, 666, 1287, 581, 1031, 538, 29893, 267, 16979, 610, 8869, 9360, 269, 3502, 782, 12490, 7639, 713, 1184, 267, 865, 12523, 949, 581, 2539, 269, 1809, 585, 7123, 12490, 267, 1164, 5666, 666, 581, 5833, 563, 1607, 1164, 24289, 1184, 540, 2890, 16780, 2355, 1637, 7080, 1742, 32714, 12490, 538, 513, 5277, 543, 1287, 25907, 873, 547, 5277, 20256, 11303, 676, 513, 12249, 15098, 1500, 540, 10448, 2326, 610, 9600, 602, 1106, 21384, 269, 1452, 2890, 4944, 12742, 616, 6870, 689, 7509, 267, 3002, 543, 7181, 3679, 855, 23271, 538, 519, 24026, 267, 16089, 4551, 269, 13641, 3729, 267, 20566, 267, 669, 527, 657, 534, 267, 543, 9761, 7408, 616, 1419, 1031, 269, 901, 2636, 1164, 5666, 540, 2661, 12490, 609, 8810, 6765, 6098, 547, 519, 8937, 269, 2859, 17866, 12490, 666, 849, 581, 6870, 1210, 713, 1505, 563, 23536, 8438, 29893, 610, 14342, 616, 22862, 609, 513, 8825, 4494, 1210, 2030, 2861, 2326, 602, 5706, 27072, 538, 519, 7181, 855, 2736, 1524, 538, 519, 24026, 269, 1763, 1231, 4122, 1031, 538, 4283, 1227, 22862, 9360, 1331, 27794, 21449, 622, 943, 11209, 622, 267, 18038, 2988, 1886, 2643, 18861, 3250, 21695, 943, 11209, 622, 267, 543, 28778, 22169, 269, 18135, 1231, 616, 5950, 21379, 28534, 538, 519, 8937, 269, 901, 1505, 1568, 1655, 585, 2182, 1512, 32714, 12490, 855, 949, 1267, 538, 930, 1494, 1890, 2530, 4470, 593, 942, 2188, 269, 9373, 545, 15098, 267, 2705, 267, 1281, 711, 2149, 1996, 7509, 610, 3002, 267, 1175, 7181, 3679, 563, 23536, 8438, 18506, 267, 1183, 325, 597, 267, 543, 824, 3536, 8415, 2661, 12490, 547, 7542, 618, 5144, 543, 2611, 3742, 1510, 3063, 20206, 1637, 269, 1717, 267, 1494, 1890, 543, 8833, 4763, 4043, 547, 581, 2539, 269, 4675, 12141, 3029, 616, 849, 1031, 855, 949, 711, 1450, 585, 5826, 546, 3151, 269, 1715, 518, 2553, 616, 5355, 6617, 543, 5305, 12632, 269, 1809, 585, 9360, 267, 10936, 15018, 267, 2890, 16780, 2355, 1637, 543, 4283, 545, 15098, 2611, 519, 1283, 3044, 2409, 585, 12419, 6098, 32714, 2640, 563, 272, 269, 1684, 20206, 4327, 22763, 6336, 1494, 1890, 936, 942, 888, 8133, 267, 782, 22763, 786, 6336, 1494, 1890, 609, 2085, 267, 7509, 543, 3002, 4598, 269, 8000, 1890, 538, 9360, 568, 5207, 609, 519, 1163, 19418, 610, 2048, 12895, 676, 685, 4266, 269, 1133, 641, 2989, 32714, 29893, 666, 2611, 14323, 585, 476, 1240, 3275, 547, 476, 273, 1296, 950, 5265, 6740, 538, 513, 3579, 1604, 2476, 689, 11195, 543, 7943, 269, 32254, 543, 8118, 29893, 786, 7771, 811, 6385, 269, 1280, 1655, 2164, 267, 3442, 513, 1587, 609, 606, 1163, 19418, 4266, 543, 946, 1369, 602, 942, 1974, 563, 273, 269, 3657, 2890, 16780, 2355, 4327, 22763, 1732, 982, 4283, 545, 22862, 888, 19859, 16780, 2355, 1637, 2488, 811, 3102, 4027, 543, 2337, 2327, 6098, 5305, 540, 4551, 538, 519, 24026, 269, 1717, 267, 585, 2182, 1512, 12490, 267, 4283, 545, 15098, 1869, 2488, 2640, 269, 7994, 513, 32714, 24802, 6594, 585, 519, 1808, 1072, 2640, 543, 12490, 2838, 8164, 2009, 269, 7402, 2355, 1637, 1505, 568, 6281, 547, 1697, 18262, 267, 1494, 1890, 267, 543, 12490, 950, 8939, 513, 7110, 563, 274, 269, 1684, 594, 991, 14023, 730, 32714, 12490, 888, 8269, 3419, 3130, 666, 948, 8831, 32714, 23812, 585, 930, 2472, 269, 1717, 267, 621, 786, 4096, 593, 519, 1808, 12490, 1031, 543, 20206, 1637, 1505, 269, 1975, 2001, 12015, 19273, 543, 4283, 545, 22862, 29893, 798, 711, 2154, 12104, 3130, 269, 11525, 8438, 32340, 267, 18506, 26784, 267, 543, 9360, 5627, 811, 17866, 12490, 1058, 581, 6854, 14023, 730, 547, 2226, 1494, 1890, 585, 519, 8653, 540, 946, 2687, 547, 1587, 8846, 269, 1280, 2951, 610, 950, 12104, 3130, 568, 711, 2009, 267, 3442, 513, 15808, 3613, 762, 1587, 563, 275, 269, 3657, 972, 17154, 270, 557, 1326, 4115, 32714, 3681, 888, 6624, 32714, 9360, 946, 1152, 2030, 2861, 5820, 543, 20757, 29893, 609, 1100, 3662, 23402, 15074, 11294, 610, 26178, 269, 19871, 267, 19346, 267, 543, 3170, 2326, 1031, 538, 20206, 1637, 2097, 689, 2030, 2959, 269, 1717, 267, 930, 32714, 12490, 949, 581, 6508, 689, 10683, 3157, 269, 3367, 1587, 10297, 547, 3442, 513, 32714, 602, 13352, 707, 8192, 2115, 543, 9993, 563, 276, 269, 6904, 568, 1732, 1107, 811, 12490, 610, 2362, 18435, 308, 779, 888, 13828, 1164, 5666, 540, 12733, 8108, 4559, 630, 20003, 308, 779, 264, 799, 5815, 2661, 9190, 12523, 267, 543, 2789, 6098, 12490, 616, 1271, 585, 32714, 12117, 269, 14451, 18435, 308, 779, 267, 693, 2547, 476, 1015, 547, 476, 1428, 5479, 829, 23555, 267, 616, 1655, 585, 1034, 2175, 269, 1656, 513, 4763, 540, 12490, 689, 32587, 984, 26808, 267, 645, 604, 573, 14385, 1756, 543, 7654, 15762, 10420, 3912, 806, 3885, 1683, 519, 3376, 652, 2640, 269, 7994, 513, 1587, 609, 1808, 12490, 585, 707, 1072, 2115, 543, 519, 5207, 14323, 12523, 2009, 585, 5021, 2360, 563, 1103, 5758, 267, 20206, 1637, 2029, 2636, 32714, 9360, 547, 5838, 2661, 12490, 609, 1072, 2640, 16856, 269, 10613, 971, 607, 10936, 15018, 267, 2890, 16780, 2355, 1637, 543, 4283, 545, 15098, 948, 13104, 4551, 689, 7181, 3679, 865, 789, 666, 581, 5950, 538, 519, 24026, 269, 1280, 519, 1034, 2500, 1587, 267, 1413, 585, 1312, 15792, 5666, 540, 6098, 12490, 543, 1164, 267, 16798, 18435, 308, 12523, 6913, 998, 1697, 20206, 1637, 585, 707, 5551, 946, 269, 17125, 325, 3613, 762, 610, 14023, 730, 267, 29893, 610, 32340, 267, 835, 1505, 610, 1776, 666, 1683, 2298, 32714, 21455, 269, 0, 8368, 540, 12937, 454, 1103, 519, 2479, 21608, 5251, 540, 2069, 267, 519, 24354, 5398, 12140, 7991, 10588, 630, 291, 4916, 7374, 264, 6763, 856, 607, 513, 581, 13154, 540, 5647, 543, 5876, 269, 2060, 513, 7029, 547, 3246, 1164, 7779, 2069, 547, 922, 1053, 267, 667, 4916, 7374, 18271, 513, 15931, 1935, 547, 3450, 543, 1565, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21837, 3357, 547, 519, 17599, 538, 476, 12208, 275, 607, 519, 2063, 540, 29346, 8633, 543, 12142, 20152, 781, 3670, 14930, 1739, 513, 1974, 540, 4835, 8165, 543, 2110, 12081, 338, 269, 1717, 267, 7429, 1010, 14552, 267, 6424, 1185, 9939, 593, 1010, 2427, 269, 1261, 4465, 12797, 543, 5763, 538, 4789, 607, 513, 2926, 613, 540, 8361, 594, 543, 1287, 3576, 5413, 540, 519, 1323, 8944, 538, 4789, 547, 11654, 13677, 4690, 538, 595, 3518, 6319, 543, 3345, 3518, 6319, 267, 15029, 849, 10962, 2484, 8573, 4474, 15024, 269, 1809, 875, 3811, 1131, 646, 581, 538, 1010, 3646, 267, 1131, 646, 581, 1932, 22374, 585, 13677, 16919, 543, 786, 646, 1205, 519, 1234, 343, 16748, 888, 1103, 938, 2034, 14167, 15264, 267, 649, 2689, 519, 1272, 543, 2053, 540, 519, 10120, 27585, 543, 5480, 1512, 267, 5261, 630, 1492, 264, 15794, 531, 269, 5261, 1185, 606, 6909, 4876, 693, 519, 2295, 540, 519, 7233, 10402, 564, 10470, 540, 8361, 4083, 267, 9400, 519, 23193, 24711, 543, 267, 538, 1880, 267, 3751, 3627, 267, 1373, 513, 3844, 4137, 538, 519, 4446, 976, 12668, 267, 519, 5137, 540, 13804, 320, 14295, 320, 543, 7487, 1055, 513, 3943, 12289, 269, 2677, 8282, 607, 834, 1492, 6574, 27585, 257, 543, 1340, 539, 585, 1010, 14017, 267, 646, 4682, 689, 513, 1762, 812, 540, 3908, 16548, 547, 513, 3659, 540, 15438, 543, 519, 5260, 21831, 540, 519, 10806, 269, 5261, 781, 1650, 3322, 7045, 267, 7001, 543, 19259, 5944, 1582, 31398, 13440, 908, 23278, 4925, 607, 1134, 607, 835, 540, 519, 1034, 1271, 630, 2288, 1419, 16618, 264, 12959, 538, 2296, 1686, 269, 901, 536, 32658, 7160, 1079, 5662, 12558, 568, 711, 547, 581, 14406, 2336, 20694, 6387, 781, 12560, 19588, 538, 476, 8099, 278, 6825, 513, 1847, 2476, 689, 519, 14784, 540, 519, 18631, 8717, 540, 4835, 4655, 855, 602, 781, 711, 547, 2161, 602, 12138, 5128, 1131, 723, 606, 2653, 942, 540, 621, 269, 4964, 3293, 676, 1010, 7820, 7015, 267, 6424, 267, 543, 519, 3532, 3751, 540, 4789, 267, 8361, 594, 267, 12138, 17388, 547, 1265, 1010, 1378, 13395, 855, 6743, 547, 1118, 2462, 15024, 547, 519, 13677, 5939, 602, 1131, 22617, 930, 7115, 1394, 689, 519, 13779, 540, 4789, 269, 14348, 12138, 581, 513, 4195, 1376, 585, 10430, 610, 1175, 1776, 5176, 812, 888, 763, 2669, 540, 29346, 8633, 538, 476, 11820, 274, 3366, 547, 1945, 540, 513, 19588, 6433, 538, 10430, 543, 676, 476, 11820, 278, 267, 29346, 781, 7015, 630, 291, 4689, 321, 664, 264, 543, 835, 540, 1010, 14930, 630, 291, 684, 4754, 4083, 264, 1185, 711, 2944, 513, 1360, 1434, 2816, 540, 15194, 519, 2197, 269, 8921, 909, 729, 28089, 267, 20483, 676, 519, 2296, 4622, 267, 5261, 681, 18860, 639, 267, 543, 1010, 4408, 820, 11515, 267, 28089, 519, 589, 9220, 1782, 267, 28089, 8179, 547, 556, 10140, 28344, 6617, 538, 10430, 267, 855, 1131, 646, 581, 519, 4622, 547, 1205, 1919, 1394, 593, 3950, 888, 763, 2669, 540, 29346, 8633, 543, 1010, 15596, 267, 20152, 540, 24380, 16303, 267, 2366, 10430, 1394, 883, 519, 14784, 540, 30552, 2880, 4655, 269, 29346, 781, 7015, 267, 18496, 321, 664, 267, 588, 1961, 519, 17599, 538, 476, 11820, 274, 855, 972, 941, 1082, 14930, 540, 29346, 4712, 547, 4161, 1864, 543, 1101, 909, 729, 30338, 4083, 269, 769, 30338, 781, 12797, 267, 646, 729, 513, 1134, 2389, 11712, 27585, 267, 4547, 909, 693, 519, 22374, 5480, 543, 20483, 676, 519, 3751, 540, 4789, 267, 5261, 681, 18860, 639, 269, 2201, 519, 17498, 728, 267, 646, 729, 513, 1134, 2389, 11712, 22374, 27585, 267, 4547, 909, 693, 519, 22374, 5480, 543, 20483, 676, 519, 3751, 540, 4789, 269, 14348, 519, 29703, 3398, 713, 17454, 9539, 768, 534, 4137, 267, 610, 1131, 30338, 581, 2366, 24386, 888, 763, 2669, 540, 29346, 8633, 538, 476, 11820, 274, 630, 553, 1134, 607, 1010, 5067, 543, 15596, 264, 2451, 513, 1379, 12511, 538, 10430, 269, 6736, 2348, 476, 276, 14930, 267, 621, 729, 29346, 781, 7015, 267, 18496, 8633, 630, 291, 10735, 321, 664, 538, 9956, 781, 16077, 1070, 945, 4956, 547, 1491, 5413, 543, 21102, 519, 17599, 269, 2991, 13977, 1296, 540, 6617, 896, 29346, 267, 18496, 8633, 3576, 10430, 1394, 547, 519, 26093, 1296, 540, 30552, 2880, 10617, 540, 19588, 269, 2060, 519, 2296, 4622, 267, 5261, 681, 18860, 639, 267, 16994, 547, 723, 1010, 1378, 812, 593, 519, 17599, 267, 18496, 1131, 723, 547, 946, 782, 1010, 4739, 1465, 547, 3180, 593, 547, 1010, 13862, 910, 855, 1223, 646, 7979, 770, 1010, 30347, 888, 1103, 938, 1101, 2479, 2027, 12558, 267, 649, 1491, 606, 538, 3829, 1413, 693, 519, 11135, 540, 4826, 31846, 910, 606, 12473, 6370, 602, 4547, 547, 513, 2673, 5176, 476, 1789, 1296, 540, 13137, 538, 2342, 1310, 519, 3943, 7169, 269, 769, 1880, 267, 649, 1445, 519, 1614, 4971, 619, 538, 519, 6370, 281, 19167, 630, 293, 8896, 5148, 654, 2454, 2023, 630, 19322, 664, 543, 1200, 27469, 1070, 543, 2349, 1075, 615, 630, 7468, 17892, 1040, 19167, 729, 5921, 547, 581, 8737, 950, 646, 729, 608, 6150, 547, 4432, 9346, 855, 1010, 10565, 9101, 538, 476, 8687, 275, 1200, 531, 4765, 519, 4098, 540, 606, 6909, 5859, 543, 835, 540, 519, 7887, 543, 1034, 1713, 12959, 538, 3864, 1686, 269, 5808, 1131, 2097, 856, 593, 1283, 538, 519, 6370, 543, 799, 540, 519, 1614, 4971, 619, 1131, 3094, 938, 12271, 910, 519, 21184, 543, 20440, 540, 19167, 267, 519, 9015, 543, 3819, 18854, 540, 654, 2454, 2023, 610, 519, 3368, 2173, 611, 6612, 540, 2349, 1075, 615, 888, 4415, 519, 12081, 540, 29346, 8633, 267, 10430, 19674, 689, 519, 4158, 6502, 543, 883, 519, 14784, 540, 476, 11793, 277, 543, 519, 22374, 1230, 26810, 540, 4789, 269, 2060, 1010, 7365, 547, 519, 590, 19414, 27959, 630, 663, 2104, 23920, 264, 20152, 267, 29346, 568, 1305, 593, 513, 16580, 1576, 609, 519, 11870, 753, 543, 519, 6370, 585, 17282, 538, 595, 3518, 6319, 543, 3345, 3518, 6319, 269, 20152, 568, 835, 540, 519, 9058, 5515, 540, 519, 2085, 543, 1927, 29346, 543, 20152, 936, 5408, 15024, 538, 5939, 543, 693, 5480, 602, 723, 513, 9434, 1764, 593, 13677, 1686, 269, 1809, 585, 875, 1279, 666, 29346, 2119, 1010, 9939, 609, 519, 11870, 753, 543, 786, 621, 581, 2614, 547, 7118, 1864, 519, 1234, 343, 16748, 888, 263, 8923, 4063, 602, 649, 616, 1210, 1007, 2890, 10746, 910, 10093, 1405, 3833, 23125, 856, 519, 5468, 2943, 865, 519, 8301, 568, 513, 3787, 26982, 2678, 982, 8912, 543, 649, 849, 991, 547, 1205, 1402, 12086, 26695, 21547, 10106, 781, 2669, 693, 519, 3946, 540, 519, 2104, 29346, 8633, 1705, 711, 1665, 519, 1439, 540, 519, 5651, 599, 15913, 267, 585, 883, 519, 21556, 22283, 700, 592, 778, 269, 9995, 23495, 1117, 1063, 1079, 540, 519, 811, 8037, 540, 10430, 781, 10120, 16313, 338, 543, 9280, 609, 513, 1447, 982, 1166, 30568, 28215, 267, 6788, 585, 700, 592, 778, 616, 4440, 711, 1164, 855, 1223, 972, 581, 513, 2370, 811, 547, 1864, 982, 972, 1101, 5526, 888, 8133, 267, 16077, 729, 513, 1483, 4622, 256, 1809, 267, 729, 646, 519, 12638, 748, 267, 28112, 2335, 673, 5636, 664, 607, 13269, 676, 9956, 610, 814, 519, 536, 731, 2944, 519, 1483, 3734, 16077, 513, 4744, 16291, 286, 769, 713, 12558, 267, 649, 1413, 693, 9956, 781, 4528, 540, 16077, 1354, 6236, 519, 1483, 1272, 12092, 540, 1412, 763, 13677, 3751, 262, 543, 1287, 6430, 2436, 646, 814, 519, 1234, 343, 16748, 269, 1284, 849, 2015, 1946, 621, 729, 602, 9956, 8359, 547, 2328, 827, 16077, 693, 782, 543, 1946, 646, 27537, 1864, 607, 646, 1705, 563, 263, 8923, 4063, 602, 519, 12558, 3239, 543, 519, 8301, 21626, 693, 519, 1376, 540, 519, 12558, 616, 519, 3959, 540, 22456, 22575, 585, 519, 476, 1001, 276, 4670, 267, 16077, 264, 0, 306, 11799, 5442, 5990, 21832, 306, 21096, 6579, 312, 454, 19770, 547, 2961, 787, 4934, 631, 10165, 6611, 22947, 454, 5228, 18917, 5240, 6732, 454, 19770, 814, 9307, 621, 786, 4163, 856, 513, 812, 2740, 2230, 8184, 693, 930, 1448, 538, 519, 1647, 540, 4873, 563, 288, 15177, 8876, 519, 30715, 345, 17924, 476, 280, 14361, 814, 1044, 6410, 547, 513, 10131, 14950, 538, 519, 5087, 29891, 540, 519, 2197, 563, 6097, 547, 1533, 3377, 8116, 2473, 514, 327, 7699, 267, 621, 786, 4163, 1614, 20691, 734, 335, 1601, 4601, 1519, 513, 4807, 734, 1729, 519, 570, 21628, 784, 476, 272, 2230, 6728, 9074, 563, 21010, 2060, 2974, 912, 20228, 1938, 6011, 281, 9605, 779, 1284, 2273, 10263, 538, 6611, 454, 1103, 519, 2890, 6588, 6143, 1604, 540, 9018, 2230, 267, 26428, 6633, 1360, 8335, 982, 789, 798, 593, 3047, 1862, 630, 28781, 519, 3095, 1657, 547, 1224, 811, 1916, 2414, 2070, 782, 19180, 1543, 267, 4945, 834, 30238, 5564, 12855, 4799, 3725, 576, 633, 31015, 950, 1007, 1543, 568, 11540, 689, 519, 3003, 3896, 267, 610, 3442, 689, 519, 16419, 20555, 2139, 269, 0, 5649, 606, 1401, 1356, 696, 454, 13981, 5839, 668, 4215, 10378, 18044, 476, 276, 2488, 596, 609, 519, 1702, 543, 1995, 596, 991, 547, 1374, 543, 1628, 27515, 585, 946, 593, 5680, 3817, 267, 538, 14245, 267, 543, 607, 1796, 29671, 9413, 563, 1103, 713, 1576, 267, 596, 786, 1451, 827, 519, 1082, 1114, 3334, 602, 1118, 606, 3078, 543, 7524, 14318, 267, 1519, 12449, 267, 2241, 543, 4359, 14318, 2553, 267, 3280, 267, 1257, 267, 543, 1256, 5752, 20072, 269, 1548, 901, 3883, 1772, 6168, 454, 13981, 5839, 668, 4215, 18044, 476, 276, 568, 2854, 585, 4098, 543, 13591, 8642, 1918, 2209, 269, 634, 1433, 17648, 519, 5467, 814, 513, 2324, 1702, 540, 8837, 2861, 3292, 267, 2596, 1257, 11049, 267, 543, 519, 5769, 269, 634, 5467, 949, 14693, 1616, 547, 11654, 513, 4876, 538, 8642, 14318, 610, 5680, 2985, 1374, 267, 610, 949, 1175, 1616, 547, 723, 1187, 2870, 9413, 609, 18044, 269, 5808, 9701, 3367, 901, 3883, 888, 1607, 1433, 568, 585, 3025, 945, 6499, 547, 917, 875, 547, 1039, 27515, 547, 513, 5680, 3135, 269, 1411, 666, 946, 713, 1433, 607, 513, 3184, 8386, 7302, 1986, 5850, 593, 1082, 18044, 2934, 610, 3277, 547, 621, 593, 606, 607, 32571, 22521, 4493, 269, 1548, 1411, 10261, 454, 2414, 2744, 519, 1034, 689, 713, 1433, 267, 596, 786, 991, 912, 268, 11310, 540, 4909, 8837, 12445, 543, 16166, 563, 268, 589, 7193, 609, 693, 2547, 513, 476, 29214, 300, 327, 345, 16267, 543, 476, 5038, 11586, 540, 20433, 269, 630, 5415, 20433, 543, 513, 5488, 16267, 786, 1118, 707, 960, 979, 5488, 865, 602, 596, 666, 6108, 811, 942, 1565, 543, 1210, 18044, 781, 7347, 2934, 8094, 268, 18044, 476, 276, 563, 268, 1323, 5769, 11422, 4528, 476, 275, 610, 2362, 267, 971, 607, 9786, 5769, 25817, 610, 715, 1115, 3874, 13782, 1807, 267, 602, 7028, 19180, 267, 14318, 267, 543, 4359, 7317, 2934, 563, 2791, 2253, 609, 18044, 9238, 543, 1287, 332, 913, 547, 4359, 2934, 563, 268, 7689, 476, 272, 281, 18044, 476, 276, 17943, 269, 901, 3992, 2882, 5216, 5751, 2966, 547, 6338, 596, 547, 519, 1982, 543, 922, 29683, 269, 1411, 1376, 609, 513, 4663, 540, 519, 18044, 593, 1606, 10547, 2609, 267, 1519, 27487, 267, 8440, 267, 543, 519, 29683, 269, 1411, 786, 849, 1451, 875, 547, 1376, 543, 14827, 519, 1982, 269, 1411, 1847, 593, 547, 606, 3635, 602, 12857, 596, 547, 519, 18044, 6435, 1982, 543, 5850, 267, 543, 1287, 596, 1376, 547, 1711, 2592, 1210, 519, 18044, 5373, 2645, 269, 1635, 519, 1439, 540, 519, 3992, 596, 616, 2111, 547, 2721, 267, 12189, 267, 543, 2981, 3093, 652, 515, 2679, 7161, 540, 782, 18044, 27515, 563, 268, 7689, 476, 273, 281, 8073, 513, 28414, 269, 3245, 3919, 547, 14318, 267, 713, 3992, 3217, 596, 998, 519, 1184, 540, 2679, 513, 2347, 18044, 7260, 269, 1411, 1451, 875, 547, 1628, 606, 14318, 1210, 14604, 543, 6106, 269, 1411, 3605, 519, 2189, 2409, 18044, 3091, 585, 5329, 3758, 2450, 1507, 267, 543, 596, 1205, 707, 1101, 6492, 540, 14318, 607, 596, 1118, 5546, 543, 3615, 1847, 2066, 519, 5496, 267, 1689, 2681, 267, 543, 2981, 563, 268, 7689, 476, 274, 281, 28389, 513, 28414, 269, 634, 5751, 538, 713, 3992, 1397, 596, 875, 547, 2087, 707, 27515, 676, 6220, 4992, 267, 16865, 12449, 267, 543, 1257, 269, 1411, 786, 1451, 875, 547, 7696, 3527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4673, 517, 799, 667, 656, 525, 1185, 30774, 593, 543, 3587, 22625, 269, 901, 942, 646, 568, 2111, 547, 679, 1258, 2802, 545, 267, 2769, 9758, 6161, 585, 1010, 12284, 2864, 982, 1010, 18535, 543, 1010, 5763, 2501, 1394, 547, 1864, 269, 1261, 814, 9715, 1483, 22556, 269, 5651, 7758, 543, 1010, 5067, 1312, 10929, 12675, 7092, 1354, 667, 656, 525, 1964, 2803, 1434, 19539, 547, 873, 630, 29409, 7758, 476, 3445, 2395, 11489, 519, 605, 4967, 1163, 790, 543, 7665, 574, 559, 1329, 476, 1789, 2395, 1282, 799, 646, 11099, 27223, 4666, 264, 910, 713, 6920, 741, 22556, 729, 711, 606, 7915, 2067, 15896, 267, 855, 1945, 9715, 563, 11997, 1272, 781, 3210, 568, 711, 7525, 269, 16972, 269, 2201, 4604, 667, 656, 525, 29170, 14843, 609, 667, 836, 6840, 543, 23083, 789, 3247, 693, 519, 568, 548, 540, 22757, 595, 2077, 334, 547, 7017, 741, 3604, 267, 855, 667, 836, 6840, 31439, 269, 898, 2062, 321, 3941, 519, 2956, 540, 713, 568, 548, 538, 741, 2663, 1272, 543, 519, 3152, 29170, 7758, 547, 1671, 826, 269, 634, 2669, 540, 679, 1258, 18279, 2274, 1849, 2075, 1354, 646, 1223, 5838, 519, 4484, 547, 19167, 10630, 519, 2597, 540, 602, 5692, 269, 2274, 1849, 2075, 729, 711, 2178, 2614, 547, 9585, 621, 267, 667, 656, 525, 729, 269, 2274, 1849, 2075, 6976, 609, 1010, 1272, 282, 667, 656, 525, 17477, 1010, 1272, 855, 4503, 3388, 3116, 910, 1010, 2816, 267, 1010, 2648, 267, 1010, 2012, 269, 667, 656, 525, 1223, 711, 16401, 1010, 7772, 693, 2274, 1849, 2075, 781, 2669, 799, 1500, 1010, 13319, 547, 18279, 1978, 563, 14367, 7772, 4547, 2274, 1849, 2075, 781, 3765, 325, 28232, 593, 667, 656, 525, 538, 513, 1114, 1106, 269, 3571, 16349, 7772, 859, 10280, 513, 20935, 5114, 602, 14145, 1161, 1864, 540, 1256, 1018, 646, 1185, 269, 667, 656, 525, 267, 899, 30777, 267, 729, 16397, 676, 519, 3235, 18878, 1434, 19539, 602, 30870, 1010, 2132, 547, 5333, 910, 23071, 1097, 693, 519, 2085, 540, 8938, 543, 7365, 547, 519, 14897, 766, 267, 513, 4190, 8004, 269, 1261, 1932, 1223, 711, 1489, 602, 8445, 540, 7772, 543, 679, 1258, 2802, 545, 24847, 5828, 883, 606, 3160, 8515, 540, 21817, 269, 1703, 729, 513, 2673, 6252, 1063, 667, 656, 525, 543, 966, 4068, 3228, 563, 13828, 941, 693, 519, 4098, 540, 513, 6505, 4876, 269, 5637, 1558, 593, 741, 914, 549, 11209, 2395, 269, 1548, 1058, 723, 8694, 966, 4068, 3228, 781, 4876, 543, 5904, 538, 519, 2564, 5604, 7365, 4566, 646, 1031, 621, 547, 11886, 1010, 5207, 27606, 676, 8195, 21006, 667, 656, 525, 262, 1272, 543, 7365, 269, 634, 4484, 667, 656, 525, 4607, 689, 519, 2802, 545, 3946, 540, 519, 14890, 4547, 966, 4068, 3228, 883, 519, 4527, 543, 1178, 806, 540, 4619, 20187, 3751, 8402, 2473, 309, 7656, 269, 2290, 812, 781, 19539, 729, 1776, 781, 9568, 269, 1548, 4547, 827, 679, 1258, 2802, 545, 267, 667, 656, 525, 262, 2887, 286, 634, 2942, 5790, 1472, 1010, 1272, 267, 519, 30983, 540, 667, 836, 331, 1513, 585, 568, 2022, 19640, 626, 1148, 267, 1010, 2816, 543, 22513, 663, 585, 1010, 1131, 15515, 7385, 630, 663, 5310, 27974, 2730, 572, 585, 1010, 5763, 1040, 2037, 1258, 269, 667, 656, 525, 262, 4651, 5176, 5182, 1386, 585, 1616, 540, 2724, 1282, 667, 656, 525, 2063, 22116, 269, 898, 729, 606, 522, 5443, 540, 1919, 547, 2097, 267, 585, 1010, 4651, 1705, 5182, 557, 547, 2669, 269, 8567, 769, 4936, 7276, 269, 31611, 8959, 547, 1294, 519, 679, 1258, 2802, 545, 8594, 269, 3245, 519, 4090, 540, 1010, 10654, 2394, 1010, 3375, 547, 1018, 568, 2022, 19640, 626, 267, 5182, 557, 547, 2669, 538, 2802, 545, 267, 7890, 1896, 1296, 1310, 1010, 12625, 267, 667, 656, 525, 1272, 729, 538, 513, 14869, 7771, 563, 306, 19488, 950, 646, 729, 2282, 1010, 1360, 2063, 7362, 267, 12303, 4666, 267, 519, 4619, 20187, 4978, 28764, 3459, 922, 16057, 18711, 4098, 609, 519, 3280, 540, 519, 2806, 2041, 781, 20857, 269, 3245, 1287, 593, 519, 18214, 729, 11931, 910, 519, 679, 1258, 2802, 545, 5870, 609, 519, 2806, 2041, 267, 11505, 267, 11601, 540, 1702, 267, 519, 4126, 540, 519, 14951, 267, 1010, 9101, 547, 519, 6532, 267, 519, 20739, 1188, 540, 519, 6928, 3246, 1864, 3574, 547, 10581, 593, 267, 519, 12625, 540, 519, 1159, 10212, 6840, 262, 6928, 1175, 1354, 519, 568, 2022, 19640, 626, 6602, 540, 1010, 9101, 267, 1010, 10343, 543, 6668, 609, 519, 1159, 10212, 6840, 267, 519, 1159, 10212, 6840, 262, 1544, 547, 2244, 693, 22757, 595, 2077, 334, 267, 519, 6602, 540, 519, 14951, 269, 19167, 729, 513, 9649, 543, 606, 10546, 540, 519, 1533, 29802, 593, 4432, 9346, 269, 634, 4090, 667, 656, 525, 561, 1742, 5128, 547, 679, 1258, 2802, 545, 267, 5351, 519, 14890, 646, 3338, 538, 7890, 267, 607, 19167, 729, 269, 1879, 646, 19674, 267, 646, 1932, 899, 519, 540, 519, 887, 534, 5803, 14890, 568, 513, 812, 4171, 1379, 543, 588, 1155, 616, 3677, 982, 1272, 269, 667, 656, 525, 568, 9901, 609, 931, 25378, 585, 679, 1258, 2802, 545, 267, 19167, 781, 2132, 269, 769, 1249, 621, 568, 3020, 602, 646, 1705, 4196, 602, 3483, 563, 763, 4484, 646, 9447, 547, 519, 14890, 5280, 19167, 2744, 5191, 689, 1010, 6532, 7890, 585, 513, 4627, 2395, 269, 634, 3902, 667, 656, 525, 6976, 729, 1296, 540, 26646, 593, 606, 6532, 899, 19167, 269, 19167, 781, 4484, 547, 3143, 7398, 1512, 2760, 6603, 922, 10278, 269, 898, 22509, 17495, 15735, 519, 5821, 540, 19167, 781, 2132, 269, 1280, 513, 1906, 8090, 538, 1010, 1272, 513, 13743, 528, 3957, 667, 656, 525, 3357, 3068, 547, 3068, 609, 19167, 269, 667, 656, 525, 262, 2663, 1272, 910, 519, 1702, 543, 5763, 646, 25189, 910, 941, 24188, 540, 513, 10516, 689, 519, 568, 2022, 19640, 626, 14890, 945, 22234, 1312, 538, 1390, 2268, 269, 1879, 19167, 7024, 547, 1379, 267, 5651, 7758, 13290, 547, 7682, 1010, 1379, 607, 513, 12844, 777, 691, 626, 936, 966, 4068, 3228, 538, 679, 1258, 267, 1931, 547, 5351, 667, 656, 525, 563, 3719, 966, 4068, 3228, 568, 1579, 3164, 337, 982, 5651, 7758, 543, 13292, 1010, 1514, 25195, 609, 513, 1514, 1025, 4428, 269, 27801, 338, 269, 15243, 334, 568, 519, 835, 945, 27605, 519, 679, 1258, 2802, 545, 546, 20621, 667, 656, 525, 856, 540, 519, 1216, 267, 9494, 1010, 1272, 267, 543, 561, 1742, 1864, 930, 9660, 269, 1879, 667, 656, 525, 568, 20754, 676, 513, 9821, 11464, 781, 16886, 1247, 9467, 1159, 10212, 1194, 5370, 267, 15243, 334, 682, 2355, 547, 7390, 593, 1864, 609, 6574, 6161, 269, 667, 656, 525, 4255, 1864, 676, 5356, 547, 2285, 3368, 1010, 16101, 2724, 689, 519, 986, 573, 267, 855, 15243, 334, 31439, 621, 269, 1261, 568, 13631, 547, 538, 519, 2564, 5604, 267, 667, 656, 525, 607, 513, 9120, 812, 543, 2067, 6205, 269, 1879, 667, 656, 525, 568, 15151, 13676, 593, 22757, 595, 2077, 334, 267, 15243, 334, 3091, 547, 882, 22055, 880, 1010, 2671, 538, 519, 1159, 10212, 1782, 14679, 547, 2611, 543, 1416, 585, 1864, 269, 667, 656, 525, 568, 13351, 676, 519, 14017, 543, 15754, 540, 519, 1159, 10212, 6840, 585, 1864, 563, 30952, 15243, 334, 3587, 23071, 540, 667, 656, 525, 10935, 269, 1879, 667, 656, 525, 568, 20754, 267, 646, 7959, 519, 7772, 540, 4222, 543, 3081, 10266, 267, 23524, 1148, 711, 9409, 269, 10266, 814, 1044, 519, 4116, 602, 5795, 1864, 1702, 267, 4222, 543, 5763, 269, 4475, 267, 538, 2802, 545, 267, 3843, 547, 948, 1866, 5336, 528, 7758, 543, 7665, 574, 559, 1329, 267, 667, 656, 525, 759, 2176, 547, 519, 1152, 4116, 646, 6487, 1790, 664, 269, 634, 14951, 20705, 547, 9315, 1400, 1975, 3385, 945, 10523, 540, 15464, 563, 2005, 5713, 667, 656, 525, 543, 15917, 1372, 324, 5097, 607, 606, 6293, 585, 642, 3188, 766, 269, 634, 21829, 769, 3013, 269, 2991, 29400, 689, 7890, 267, 667, 656, 525, 538, 2802, 545, 267, 24320, 1047, 607, 519, 4619, 20187, 2806, 2041, 22084, 18223, 10742, 27974, 2730, 572, 543, 13290, 547, 8007, 519, 679, 1258, 9018, 2962, 676, 9306, 27974, 2730, 572, 609, 519, 14776, 269, 898, 6770, 856, 519, 9409, 538, 27974, 2730, 572, 543, 1010, 7385, 543, 519, 14897, 766, 887, 534, 5803, 646, 20781, 2047, 676, 15294, 1359, 519, 13049, 518, 269, 27974, 2730, 572, 7475, 909, 538, 7890, 543, 2729, 519, 1964, 540, 1010, 1272, 607, 513, 7803, 269, 1280, 3843, 547, 2285, 27974, 2730, 572, 1018, 646, 1705, 711, 17330, 267, 27974, 2730, 572, 13290, 547, 1491, 1010, 1272, 950, 646, 588, 11274, 2806, 2041, 22084, 18223, 1282, 1010, 13986, 3775, 25053, 540, 519, 4032, 781, 2777, 538, 679, 1258, 2802, 545, 267, 8303, 269, 8585, 1027, 525, 262, 5067, 15751, 1185, 606, 18211, 7095, 8303, 1014, 3659, 267, 30686, 267, 945, 16686, 593, 22757, 595, 2077, 334, 781, 6532, 1247, 538, 3406, 540, 7045, 543, 729, 7038, 539, 676, 519, 4032, 538, 1010, 575, 8527, 1729, 27032, 269, 13536, 835, 3781, 538, 519, 2051, 1047, 636, 267, 30686, 23986, 731, 519, 4032, 25786, 609, 519, 1148, 7979, 1177, 966, 2086, 320, 585, 519, 5305, 540, 513, 32066, 945, 729, 30992, 585, 679, 1258, 267, 11056, 538, 7507, 269, 589, 1554, 2663, 30686, 6444, 519, 4032, 538, 513, 4216, 693, 519, 22968, 543, 4121, 602, 519, 4032, 729, 2713, 593, 519, 1482, 6989, 540, 519, 1482, 15678, 607, 646, 543, 15751, 538, 7507, 269, 12846, 2663, 267, 15751, 568, 32043, 11474, 676, 966, 2086, 320, 269, 1635, 1018, 7271, 540, 1272, 729, 15751, 267, 22513, 663, 781, 5067, 267, 2322, 538, 15982, 3346, 609, 1010, 4651, 781, 15280, 10546, 286, 634, 3095, 729, 2141, 513, 1159, 10212, 2401, 610, 7979, 1177, 563, 293, 3757, 345, 781, 7045, 593, 519, 1772, 548, 540, 22757, 595, 2077, 334, 729, 1310, 21855, 602, 621, 729, 513, 1159, 10212, 2401, 781, 10093, 543, 4619, 20187, 609, 519, 679, 1258, 2802, 545, 9837, 540, 18226, 609, 519, 1159, 10212, 6840, 593, 519, 13272, 547, 2671, 741, 887, 770, 23820, 269, 1261, 546, 1441, 609, 519, 4032, 3079, 267, 945, 581, 325, 686, 2105, 1159, 10212, 6840, 543, 555, 773, 1407, 269, 634, 3781, 646, 16841, 519, 4032, 543, 966, 2086, 320, 693, 519, 2051, 1047, 636, 267, 621, 729, 1310, 646, 543, 15751, 1185, 1044, 2769, 569, 19230, 540, 519, 8594, 540, 966, 2086, 320, 676, 31929, 10158, 5851, 4828, 741, 15678, 19121, 543, 789, 8359, 547, 11716, 621, 269, 2037, 1258, 6599, 545, 269, 30686, 1185, 1044, 2417, 19230, 540, 519, 4032, 781, 6402, 676, 519, 19121, 781, 1650, 540, 519, 4032, 781, 3355, 7237, 609, 966, 2086, 320, 1369, 3108, 1354, 966, 2086, 320, 2968, 8783, 540, 519, 6512, 1080, 269, 20051, 519, 4032, 543, 27300, 13344, 609, 1864, 4412, 8215, 966, 2086, 320, 689, 6071, 1352, 23311, 547, 519, 1283, 540, 519, 7803, 3924, 256, 634, 4032, 612, 717, 781, 1095, 2615, 4250, 540, 519, 4032, 543, 9963, 547, 30686, 543, 30686, 781, 1378, 4160, 543, 9636, 609, 519, 4032, 1705, 711, 2061, 1864, 543, 15751, 689, 1992, 532, 540, 519, 538, 519, 2564, 4032, 781, 24756, 269, 15751, 729, 6368, 8149, 547, 2132, 519, 679, 1258, 4032, 781, 11587, 1310, 519, 4032, 10710, 1864, 689, 966, 2086, 320, 543, 3893, 1864, 5950, 563, 763, 4032, 1185, 7961, 10179, 762, 6402, 609, 519, 519, 14897, 766, 896, 16447, 1519, 1010, 15063, 676, 519, 1159, 10212, 6840, 1310, 1010, 9101, 689, 7890, 543, 2802, 545, 519, 1159, 10212, 2401, 945, 6964, 607, 513, 12403, 731, 269, 8567, 269, 1306, 606, 856, 4751, 543, 679, 1258, 23012, 7803, 267, 667, 656, 525, 5433, 513, 2067, 25505, 609, 20737, 269, 634, 1762, 2367, 781, 19818, 585, 7045, 4547, 873, 883, 5905, 609, 602, 1158, 543, 998, 621, 609, 519, 4032, 269, 634, 4032, 612, 262, 15859, 633, 1065, 13955, 547, 519, 4032, 945, 1352, 7959, 568, 513, 966, 2086, 790, 568, 2965, 606, 17499, 16007, 269, 769, 8303, 1352, 26968, 5944, 7028, 519, 4032, 781, 7127, 538, 519, 7504, 5198, 799, 17993, 519, 7484, 543, 568, 27278, 950, 1352, 9060, 519, 7484, 7996, 585, 1200, 693, 1200, 1753, 269, 15751, 781, 3406, 585, 606, 28302, 5728, 2648, 26035, 3366, 1864, 883, 966, 2086, 320, 781, 15972, 910, 3023, 543, 6760, 616, 865, 5702, 5532, 269, 3245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 1133, 30584, 532, 27405, 625, 609, 18321, 281, 589, 17714, 998, 519, 4168, 25491, 10022, 585, 8866, 692, 8702, 267, 1762, 3713, 1161, 256, 5620, 596, 2479, 4941, 547, 4194, 513, 9814, 1247, 1565, 827, 707, 5132, 286, 4270, 267, 31617, 909, 1317, 649, 2811, 2469, 593, 606, 7045, 998, 519, 1158, 540, 4168, 25491, 10022, 585, 8866, 256, 901, 9135, 10905, 1079, 4241, 3584, 910, 13655, 543, 8567, 910, 883, 835, 13858, 1995, 602, 786, 1832, 596, 7722, 543, 7038, 539, 269, 2913, 781, 4685, 1318, 538, 2439, 1432, 568, 513, 4168, 25491, 10022, 888, 5331, 707, 5172, 19792, 2984, 4904, 609, 10881, 267, 13410, 267, 543, 24457, 995, 8090, 269, 3767, 1039, 513, 5905, 540, 5132, 267, 3909, 2418, 267, 543, 4798, 6537, 689, 8567, 269, 2334, 781, 1018, 2306, 909, 513, 4168, 25491, 10022, 256, 1452, 9159, 8941, 1246, 12703, 3197, 945, 946, 741, 530, 1080, 267, 1966, 9010, 1983, 267, 543, 2178, 3661, 538, 2696, 547, 10625, 11580, 543, 3142, 5126, 547, 741, 2950, 780, 3963, 9701, 1284, 3367, 4168, 25491, 7734, 888, 2467, 616, 1896, 4128, 1946, 2542, 4168, 25491, 10022, 666, 581, 1312, 1187, 543, 3872, 1384, 272, 269, 12056, 27884, 1107, 3807, 899, 1022, 824, 9814, 3126, 267, 891, 2835, 616, 14095, 609, 23538, 267, 7140, 267, 543, 26208, 602, 786, 1832, 596, 27378, 2394, 519, 1360, 1439, 269, 1411, 4465, 1405, 581, 2111, 547, 2322, 873, 1524, 2336, 273, 269, 4804, 19662, 1107, 1306, 596, 1224, 2059, 267, 596, 3513, 7237, 1585, 3344, 540, 8567, 18955, 2429, 519, 1650, 1467, 269, 3245, 3695, 6426, 18627, 547, 1620, 5837, 21140, 267, 972, 781, 865, 1454, 547, 1451, 827, 707, 5132, 2336, 274, 269, 10020, 17738, 1107, 3509, 23233, 538, 4168, 25491, 10022, 8858, 8098, 10928, 7907, 971, 607, 10100, 267, 19969, 267, 11587, 267, 543, 16177, 269, 1635, 1739, 741, 9035, 267, 596, 3513, 3605, 875, 547, 4019, 891, 7592, 538, 1483, 1272, 563, 275, 269, 8490, 27919, 1107, 3414, 11541, 3197, 543, 2219, 4538, 3871, 267, 3988, 1020, 6568, 2509, 1866, 543, 5660, 1114, 5380, 780, 14300, 540, 4168, 25491, 10022, 585, 8866, 454, 2080, 616, 930, 2442, 4168, 25491, 10022, 3501, 585, 3214, 707, 2085, 1384, 272, 269, 634, 590, 8651, 10022, 676, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 634, 9050, 4279, 7843, 1255, 14418, 26337, 15339, 1656, 594, 4621, 2986, 1530, 22770, 11416, 3567, 476, 1220, 279, 454, 2254, 267, 950, 2141, 14909, 540, 891, 2835, 2014, 1142, 16258, 4647, 519, 2185, 1390, 17633, 14609, 7290, 22884, 538, 1007, 10957, 267, 789, 949, 8428, 513, 11050, 1927, 1607, 267, 513, 7073, 1143, 476, 273, 267, 543, 1294, 513, 3059, 1945, 269, 588, 969, 523, 1344, 281, 7316, 1281, 5403, 21524, 1716, 1143, 24613, 286, 590, 13446, 476, 273, 3148, 538, 3892, 263, 811, 593, 519, 6784, 523, 1040, 2016, 689, 543, 29041, 676, 8835, 269, 1548, 1699, 4374, 616, 2409, 723, 1310, 5599, 713, 4647, 519, 2185, 1390, 17633, 14609, 7290, 22884, 6189, 543, 24069, 286, 476, 271, 1287, 540, 476, 276, 1686, 1032, 2518, 5314, 2518, 5314, 263, 3432, 322, 11474, 1875, 17416, 1433, 3070, 263, 9067, 2825, 2856, 263, 4217, 707, 552, 9248, 609, 3105, 4126, 513, 2508, 24597, 512, 335, 321, 782, 476, 273, 1514, 5314, 4644, 1433, 5305, 2366, 513, 1433, 7335, 519, 4513, 1927, 21825, 269, 476, 271, 1256, 540, 476, 276, 4199, 2139, 5437, 476, 1220, 280, 26705, 281, 1367, 5761, 540, 930, 540, 519, 703, 28424, 9235, 1472, 8731, 1370, 676, 519, 1863, 543, 12246, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22146, 25491, 10022, 585, 8866, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16241, 1315, 4168, 1315, 27405, 625, 1299, 23618, 633, 12267, 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, 280, 281, 681, 2946, 5052, 12815, 1845, 8895, 648, 910, 589, 5548, 5534, 23874, 883, 23826, 28690, 692, 5970, 596, 2479, 6836, 513, 2250, 787, 602, 729, 865, 8949, 267, 621, 5433, 899, 513, 3636, 29751, 286, 2107, 13820, 539, 1945, 865, 1007, 543, 3078, 602, 707, 6492, 19512, 1705, 513, 2370, 7544, 286, 4270, 267, 1205, 4712, 547, 1995, 782, 1346, 4606, 543, 811, 607, 649, 4685, 883, 519, 8748, 1158, 540, 678, 2946, 5052, 1107, 849, 1634, 607, 1193, 644, 601, 1107, 513, 1826, 540, 2250, 787, 602, 781, 2442, 538, 21640, 2439, 3719, 1101, 267, 1577, 781, 1305, 519, 3942, 676, 6158, 827, 1946, 1426, 568, 971, 513, 2462, 4308, 538, 1114, 4529, 269, 5994, 713, 281, 1411, 1491, 513, 11116, 540, 513, 979, 4141, 344, 267, 10217, 344, 6960, 773, 1500, 676, 707, 20516, 269, 898, 16919, 5863, 267, 1318, 286, 2334, 781, 1317, 972, 616, 8823, 543, 2648, 19323, 1318, 883, 621, 269, 3767, 4952, 952, 602, 1482, 11600, 1185, 1044, 5293, 1524, 998, 5481, 540, 707, 1920, 267, 4358, 1259, 1394, 950, 707, 1390, 3766, 805, 3766, 8681, 15948, 5030, 538, 513, 6263, 8498, 31314, 1851, 12902, 15113, 543, 18932, 11903, 29288, 269, 30474, 3579, 267, 26001, 2496, 6546, 781, 1018, 2306, 2757, 3536, 865, 1271, 269, 3962, 8670, 814, 922, 1378, 1650, 267, 4904, 609, 1686, 543, 11580, 5293, 1524, 689, 1268, 547, 1268, 269, 1656, 2221, 267, 649, 2811, 2469, 547, 10625, 835, 540, 1346, 2984, 1927, 269, 1924, 10544, 707, 24203, 976, 267, 5066, 909, 707, 19492, 1407, 267, 543, 1577, 781, 1376, 3695, 2439, 8512, 476, 272, 281, 1548, 568, 513, 678, 2946, 5052, 630, 1598, 644, 601, 264, 2496, 4263, 922, 4295, 267, 513, 678, 2946, 5052, 568, 513, 1826, 540, 30305, 2250, 787, 602, 666, 581, 4904, 609, 6653, 610, 29902, 1434, 625, 269, 1809, 1810, 1405, 25657, 621, 609, 25858, 2250, 787, 610, 32443, 14561, 14859, 282, 1247, 789, 949, 1413, 2147, 267, 678, 2946, 5052, 2250, 787, 814, 513, 2189, 9403, 543, 8137, 782, 922, 1378, 269, 1677, 948, 596, 14650, 621, 267, 1589, 540, 513, 6094, 267, 5743, 6853, 24120, 17158, 532, 5023, 22476, 30836, 899, 13212, 267, 10027, 1845, 267, 10381, 267, 22648, 267, 610, 1402, 6853, 5452, 269, 962, 636, 2439, 3086, 267, 875, 798, 596, 24969, 834, 28584, 5052, 22172, 12315, 621, 513, 8929, 281, 834, 2001, 2389, 21983, 2668, 3502, 1932, 3983, 267, 1318, 286, 3807, 3314, 602, 18202, 678, 3280, 693, 519, 4098, 267, 543, 4166, 2614, 267, 596, 3513, 581, 10004, 1154, 609, 707, 2828, 827, 891, 26345, 13000, 899, 513, 605, 780, 8512, 476, 273, 281, 2913, 781, 2911, 4480, 692, 21430, 678, 2946, 5052, 2250, 787, 1522, 3100, 25254, 693, 1101, 267, 855, 2899, 596, 2736, 621, 1524, 1900, 8386, 9912, 267, 621, 3587, 1454, 4443, 269, 9578, 267, 2259, 2306, 3501, 256, 1924, 1934, 781, 513, 16866, 4528, 540, 875, 621, 781, 2944, 1384, 272, 269, 3399, 609, 513, 2241, 14859, 1500, 1210, 7912, 267, 1216, 267, 3282, 267, 543, 513, 3787, 540, 6070, 269, 3143, 13803, 2877, 1934, 256, 918, 928, 611, 621, 2394, 5347, 543, 13412, 563, 273, 269, 19147, 519, 14859, 883, 4130, 4773, 267, 1287, 946, 513, 12902, 8930, 547, 5066, 856, 1142, 4062, 883, 513, 2706, 6253, 514, 13551, 269, 1403, 596, 4312, 2479, 5249, 609, 32443, 14561, 14859, 1354, 267, 621, 781, 2186, 540, 899, 602, 1862, 1152, 23198, 543, 811, 8483, 1516, 563, 274, 269, 4495, 707, 14859, 568, 1957, 6253, 514, 267, 11453, 621, 21066, 609, 24268, 7423, 269, 901, 786, 2285, 519, 2250, 787, 922, 15040, 11344, 2681, 543, 1166, 21294, 6106, 563, 275, 269, 5384, 547, 1039, 519, 11423, 256, 24619, 707, 6074, 12146, 2059, 835, 1279, 6316, 540, 519, 14859, 267, 6028, 827, 606, 10759, 1863, 593, 2901, 2427, 563, 276, 269, 24305, 909, 519, 14859, 17401, 267, 4358, 689, 519, 11423, 1439, 269, 2142, 2386, 547, 1832, 1919, 2879, 1872, 543, 5150, 865, 9039, 540, 602, 32727, 696, 1190, 22556, 20984, 856, 1282, 11256, 563, 277, 269, 28392, 4483, 707, 678, 2946, 5052, 5196, 513, 533, 1105, 618, 2000, 1441, 11256, 6656, 267, 9378, 20933, 1524, 269, 5696, 2313, 621, 609, 811, 24268, 7423, 267, 543, 20057, 548, 4006, 593, 1283, 952, 596, 9364, 899, 513, 4418, 2678, 1521, 563, 278, 269, 645, 820, 538, 513, 840, 515, 730, 14089, 2394, 18991, 11344, 6960, 543, 22023, 626, 4601, 29549, 269, 3973, 2501, 519, 1655, 851, 281, 1821, 28666, 707, 19471, 20100, 2439, 8512, 476, 274, 281, 674, 3739, 1187, 692, 3080, 540, 519, 4128, 678, 2946, 5052, 568, 865, 15813, 568, 602, 596, 666, 6445, 621, 609, 1175, 827, 4376, 707, 2295, 13821, 269, 2755, 11945, 568, 4440, 519, 1034, 4583, 4781, 267, 1934, 616, 930, 824, 17705, 2036, 657, 547, 2119, 1384, 265, 22216, 787, 281, 16381, 930, 4195, 10027, 1845, 267, 3575, 1412, 655, 609, 4006, 543, 8970, 560, 1105, 267, 543, 642, 11798, 14504, 256, 589, 8126, 344, 267, 2927, 640, 10508, 563, 265, 595, 2714, 720, 10381, 281, 28799, 32119, 10381, 609, 986, 529, 1231, 267, 4006, 267, 543, 4212, 267, 543, 2972, 513, 3940, 1790, 17977, 14254, 610, 12784, 15165, 563, 265, 7377, 6853, 6079, 281, 6182, 785, 909, 930, 1402, 6853, 5452, 267, 1287, 3575, 873, 609, 9932, 267, 11993, 1990, 652, 267, 543, 22872, 10808, 585, 513, 14312, 6335, 563, 265, 14205, 800, 281, 4210, 777, 856, 519, 6653, 8631, 7357, 543, 1904, 585, 19787, 3079, 269, 16410, 12237, 267, 10487, 17064, 571, 583, 267, 22156, 267, 17228, 9789, 7399, 616, 11995, 2439, 3383, 972, 596, 723, 621, 281, 18421, 596, 991, 547, 917, 547, 1831, 513, 678, 2946, 5052, 4224, 28588, 269, 2060, 513, 2370, 9639, 543, 2259, 267, 596, 3513, 581, 2111, 547, 627, 760, 909, 891, 6909, 2250, 1845, 8164, 596, 1616, 547, 2671, 513, 6492, 540, 23826, 2245, 609, 707, 6068, 3283, 269, 8414, 11256, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 4985, 547, 12465, 667, 17143, 338, 454, 291, 17143, 338, 723, 2141, 4371, 513, 2027, 1747, 538, 1169, 11951, 1472, 519, 1158, 269, 6787, 621, 779, 513, 1232, 611, 550, 10217, 14735, 610, 513, 24253, 4829, 25188, 267, 28916, 3142, 513, 2631, 540, 7772, 543, 9547, 547, 938, 6492, 19512, 269, 769, 1169, 2528, 267, 2757, 28916, 3180, 513, 2189, 4644, 267, 8876, 609, 873, 513, 3638, 1686, 543, 513, 3982, 8137, 9043, 563, 763, 2353, 675, 540, 12465, 667, 17143, 338, 454, 25565, 28916, 723, 519, 1379, 547, 3560, 721, 547, 513, 1114, 942, 543, 1747, 269, 1358, 2709, 606, 4316, 547, 2263, 519, 11477, 5389, 543, 2686, 6561, 540, 513, 3148, 269, 3245, 519, 1166, 21294, 2250, 1845, 540, 5333, 547, 519, 7524, 14546, 540, 3127, 267, 1142, 2757, 18397, 6645, 513, 1650, 543, 20502, 519, 2199, 5820, 543, 5986, 2553, 563, 288, 17714, 3414, 12465, 667, 17143, 338, 454, 4131, 779, 7832, 593, 513, 3460, 998, 930, 540, 519, 1034, 11537, 2757, 28916, 689, 1472, 519, 1158, 912, 272, 269, 23621, 1090, 529, 340, 689, 7977, 454, 763, 7969, 5929, 267, 23621, 1090, 529, 340, 267, 568, 513, 31676, 4999, 540, 6995, 267, 8645, 267, 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, 2946, 5052, 12815, 1845, 8895, 648, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 23826, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 681, 636, 2917, 267, 11882, 267, 519, 5067, 540, 661, 28609, 595, 13831, 543, 12756, 24156, 267, 6705, 269, 3725, 1563, 538, 519, 11315, 7146, 2389, 18443, 1604, 540, 513, 1804, 267, 6917, 1920, 267, 968, 8505, 773, 892, 729, 513, 2269, 6137, 267, 17615, 6107, 945, 10150, 10122, 267, 10068, 267, 543, 4052, 24668, 543, 12595, 11509, 9089, 936, 4081, 2090, 28545, 514, 5696, 553, 515, 1513, 7905, 853, 2329, 13177, 2296, 476, 9083, 267, 4828, 476, 272, 476, 1240, 4864, 476, 1001, 272, 700, 307, 269, 1677, 1010, 1920, 267, 6723, 595, 13831, 729, 1634, 607, 834, 8505, 773, 2668, 20099, 281, 476, 14028, 280, 1913, 630, 275, 269, 276, 5595, 17898, 3166, 3817, 264, 28951, 281, 12910, 14430, 269, 13639, 9142, 6723, 28226, 595, 13831, 630, 20103, 476, 276, 267, 476, 8146, 280, 1107, 4873, 476, 1839, 267, 476, 6942, 277, 264, 729, 513, 2136, 2276, 8136, 11464, 543, 29816, 19524, 538, 519, 1977, 6406, 2782, 543, 519, 1977, 4095, 12668, 269, 1284, 10018, 602, 596, 786, 581, 3177, 609, 606, 1557, 602, 568, 1557, 593, 24636, 6186, 17641, 8169, 518, 11207, 1863, 540, 1022, 9073, 8786, 267, 972, 941, 2053, 646, 729, 2500, 269, 3571, 4332, 2012, 729, 6723, 28226, 595, 13831, 269, 3571, 3237, 267, 661, 28609, 543, 12756, 595, 13831, 11262, 513, 17051, 19431, 6300, 269, 1261, 588, 17311, 547, 581, 1390, 267, 543, 646, 4941, 547, 4734, 513, 1747, 538, 1686, 269, 1557, 593, 24636, 6186, 17641, 8169, 518, 5548, 22055, 550, 2623, 2623, 1126, 543, 1557, 10728, 2623, 267, 1079, 1557, 25102, 27689, 267, 2623, 476, 1960, 272, 713, 1895, 2982, 1557, 1126, 27231, 8965, 4828, 2201, 6723, 28226, 595, 13831, 1557, 5856, 689, 721, 543, 1205, 519, 960, 2944, 585, 596, 269, 7581, 332, 775, 879, 6039, 607, 519, 11788, 10579, 540, 5333, 689, 476, 5002, 277, 547, 476, 5002, 280, 267, 543, 1586, 689, 476, 4489, 278, 547, 476, 4572, 271, 6723, 28226, 595, 13831, 267, 5742, 6406, 2782, 2489, 543, 7262, 4095, 25142, 267, 729, 4535, 538, 1715, 681, 636, 2917, 267, 11882, 267, 593, 5412, 476, 276, 267, 476, 8146, 280, 267, 519, 5067, 540, 661, 28609, 543, 12756, 630, 310, 731, 11860, 25184, 6312, 4459, 264, 595, 13831, 269, 595, 13831, 729, 513, 4250, 1652, 6205, 267, 543, 1010, 1272, 543, 555, 334, 269, 3245, 4639, 8672, 267, 547, 519, 6370, 26753, 540, 519, 6406, 2782, 267, 543, 1287, 593, 547, 519, 4279, 26111, 547, 4339, 519, 700, 18235, 12075, 267, 646, 1185, 1010, 1688, 538, 1082, 540, 519, 1034, 1271, 543, 9565, 12959, 540, 519, 3735, 476, 5197, 271, 779, 634, 4886, 540, 6723, 28226, 595, 13831, 781, 13229, 19396, 4828, 269, 7348, 9509, 4828, 269, 6178, 909, 547, 2070, 519, 2347, 1557, 269, 769, 713, 1957, 267, 595, 13831, 786, 581, 9916, 538, 513, 1979, 4919, 6752, 269, 10705, 9833, 607, 513, 678, 3578, 1652, 4108, 6205, 267, 6723, 28226, 595, 13831, 3366, 606, 4277, 1272, 2407, 540, 9939, 543, 2034, 8458, 269, 3571, 4651, 267, 661, 28609, 8361, 595, 13831, 630, 9799, 5412, 476, 1015, 267, 476, 5197, 277, 1673, 1221, 5437, 476, 1704, 267, 6245, 273, 1070, 729, 513, 17051, 19431, 543, 6723, 781, 3993, 729, 12756, 24156, 31489, 6312, 4459, 595, 13831, 630, 9799, 2904, 476, 4029, 267, 476, 5197, 278, 1673, 1221, 5130, 476, 1724, 267, 476, 6642, 273, 1040, 7348, 9509, 4828, 269, 1306, 513, 7911, 267, 646, 729, 2141, 26531, 676, 824, 18697, 543, 10355, 267, 952, 2479, 267, 3964, 5128, 689, 519, 3640, 607, 513, 269, 1809, 267, 4352, 646, 6913, 1390, 1967, 1282, 1010, 2110, 4108, 1272, 267, 646, 729, 798, 15701, 585, 5821, 269, 6168, 713, 1557, 2859, 3594, 899, 713, 281, 2489, 24636, 6186, 17641, 8169, 518, 267, 8169, 518, 267, 3915, 269, 6723, 28226, 595, 13831, 267, 630, 9799, 5412, 476, 276, 267, 476, 8146, 280, 267, 1715, 681, 636, 2917, 267, 11882, 267, 772, 2529, 23102, 323, 1221, 4873, 476, 1839, 267, 476, 6942, 277, 267, 9741, 645, 662, 1941, 5211, 267, 23497, 24540, 1070, 772, 2529, 269, 6723, 28226, 595, 13831, 269, 0, 7069, 601, 1355, 32646, 19265, 568, 606, 9678, 970, 1090, 539, 1638, 776, 10510, 2527, 9967, 540, 1799, 1155, 24869, 1355, 2281, 269, 898, 568, 6353, 676, 3810, 4756, 4093, 543, 2356, 7519, 338, 519, 3339, 6189, 540, 519, 3339, 5160, 538, 799, 621, 24865, 269, 898, 949, 2049, 632, 18051, 334, 610, 581, 2404, 609, 824, 22104, 1670, 30279, 17473, 269, 11916, 6881, 540, 24869, 1355, 32646, 1260, 553, 666, 581, 3810, 4756, 1759, 593, 519, 10510, 3135, 267, 2450, 267, 543, 6708, 540, 5160, 9525, 269, 634, 5868, 540, 24869, 1355, 32646, 19265, 568, 4101, 543, 3340, 513, 1164, 4994, 540, 27421, 269, 570, 22568, 10386, 4553, 676, 519, 946, 540, 25581, 2090, 568, 1898, 585, 5868, 269, 5047, 267, 5642, 20768, 10386, 568, 2556, 547, 23868, 2849, 992, 9525, 269, 17497, 267, 519, 5227, 9354, 1036, 6036, 585, 24869, 1355, 32646, 19265, 616, 2147, 547, 1346, 585, 8650, 24869, 1355, 26679, 269, 13518, 960, 3788, 547, 581, 12913, 607, 24869, 1355, 32646, 1260, 553, 267, 952, 7620, 14406, 610, 3765, 10972, 30938, 267, 723, 4057, 2949, 6668, 3928, 269, 5015, 267, 1322, 333, 8251, 2188, 585, 713, 30279, 3599, 2611, 14605, 6956, 563, 7069, 601, 1355, 32646, 19265, 630, 5960, 1070, 849, 1572, 11491, 592, 7514, 6776, 32646, 19265, 610, 8392, 5448, 267, 568, 606, 970, 1090, 539, 1638, 776, 4396, 10510, 602, 14340, 689, 24869, 1355, 24888, 2281, 1547, 4706, 31630, 568, 3810, 4756, 282, 621, 666, 1020, 607, 606, 9678, 2527, 610, 538, 6935, 547, 824, 22104, 1670, 30279, 17473, 971, 607, 24869, 641, 1503, 11717, 894, 4524, 267, 24869, 617, 903, 27415, 6794, 630, 300, 9169, 1070, 543, 8650, 24869, 1355, 26679, 630, 4456, 299, 264, 1547, 9049, 666, 581, 519, 3355, 23314, 540, 970, 1090, 539, 1638, 776, 1973, 2860, 267, 666, 2049, 21276, 569, 609, 621, 267, 610, 666, 2099, 513, 882, 2355, 532, 2068, 538, 513, 3461, 538, 1121, 2153, 1547, 1772, 565, 730, 9049, 267, 538, 1880, 267, 568, 9765, 5944, 4686, 607, 621, 4386, 538, 476, 273, 829, 476, 272, 267, 1822, 267, 1822, 2043, 1547, 27418, 538, 519, 3332, 723, 4330, 519, 9726, 9136, 267, 7633, 267, 2960, 267, 9641, 267, 5007, 19058, 807, 267, 6367, 1564, 267, 543, 2634, 607, 4609, 540, 11841, 269, 1284, 1459, 606, 8966, 2013, 540, 9678, 25524, 9049, 1896, 1296, 2022, 268, 980, 1591, 13003, 538, 513, 1875, 548, 8123, 6193, 3461, 563, 288, 476, 6872, 4458, 6040, 4775, 4843, 547, 519, 6595, 8257, 609, 519, 8783, 20286, 540, 11636, 20902, 8467, 267, 3134, 580, 770, 878, 14159, 1928, 10237, 908, 547, 1200, 1394, 267, 543, 513, 24482, 29083, 5835, 512, 842, 547, 519, 2960, 543, 4064, 269, 634, 12614, 540, 1200, 20286, 27333, 7018, 5722, 2395, 1991, 547, 1200, 3355, 6881, 269, 20640, 1296, 1991, 1352, 729, 8995, 609, 631, 9169, 267, 585, 799, 1352, 23384, 3811, 782, 8328, 5642, 20768, 24328, 602, 729, 7294, 676, 7766, 5312, 21910, 8957, 3984, 2068, 269, 13159, 1121, 2153, 540, 1200, 631, 9169, 543, 21910, 8957, 3984, 2068, 941, 6913, 676, 782, 8328, 5642, 20768, 13003, 543, 5312, 678, 5060, 7035, 514, 756, 3797, 267, 6606, 269, 4033, 29810, 1344, 3769, 513, 5312, 1686, 540, 10269, 7296, 267, 4568, 13829, 267, 1875, 10784, 571, 27281, 946, 540, 8715, 2086, 2867, 26952, 267, 1781, 548, 1097, 560, 26618, 267, 543, 25524, 2860, 538, 1200, 4651, 563, 16498, 6514, 729, 7415, 1152, 585, 9079, 614, 545, 521, 743, 5028, 543, 7646, 267, 20902, 14159, 31926, 269, 966, 1388, 1129, 7403, 941, 11389, 5658, 762, 269, 12524, 4152, 4951, 5097, 23020, 2963, 540, 26601, 652, 1738, 543, 14817, 334, 14978, 6797, 5945, 267, 607, 1134, 607, 25524, 568, 2280, 1591, 14524, 630, 8368, 476, 272, 1040, 2806, 3256, 514, 641, 601, 17771, 17223, 29821, 630, 6311, 264, 18767, 5833, 538, 519, 6595, 8257, 4951, 513, 3834, 334, 10276, 327, 3496, 27295, 1369, 519, 25524, 2212, 4929, 6281, 12499, 268, 543, 3063, 515, 31154, 536, 18416, 13811, 531, 8920, 520, 566, 630, 8201, 476, 272, 1040, 2701, 729, 15861, 585, 30126, 795, 16184, 823, 267, 607, 1134, 607, 2417, 6268, 543, 2359, 540, 1200, 2042, 563, 9515, 23384, 513, 11632, 11571, 540, 519, 9221, 547, 6218, 585, 22037, 1738, 2068, 267, 799, 729, 11389, 5658, 762, 585, 1022, 15087, 610, 9726, 23565, 14527, 269, 623, 4545, 805, 545, 617, 340, 31829, 26618, 630, 2662, 21451, 5650, 264, 729, 5340, 585, 10835, 2359, 267, 2527, 1191, 794, 267, 543, 5868, 269, 24162, 569, 267, 513, 476, 274, 269, 276, 1535, 476, 274, 269, 271, 1535, 476, 273, 269, 276, 4699, 2192, 20452, 2527, 729, 4767, 547, 581, 11371, 24851, 593, 519, 18041, 1638, 320, 543, 1455, 23925, 13811, 269, 2201, 1769, 22794, 267, 27556, 9212, 540, 693, 2988, 673, 2281, 609, 1085, 656, 32594, 267, 12150, 22140, 267, 543, 7986, 7576, 10008, 941, 10423, 269, 1452, 2281, 22467, 3603, 1063, 543, 998, 22480, 25524, 28954, 543, 1035, 7236, 269, 16332, 2129, 626, 12950, 630, 296, 18449, 264, 28969, 593, 519, 1191, 551, 539, 25524, 5160, 7000, 519, 10510, 2281, 941, 9244, 2318, 609, 7131, 6246, 543, 7131, 6924, 630, 8201, 476, 273, 264, 855, 1152, 30194, 6375, 648, 5562, 609, 7131, 3393, 543, 7131, 14056, 269, 634, 12970, 2281, 941, 2942, 585, 7131, 274, 267, 7131, 736, 267, 543, 7131, 4097, 269, 2876, 17190, 1927, 609, 713, 594, 18449, 9043, 6462, 519, 5868, 540, 25524, 9049, 2864, 982, 25853, 30279, 3599, 269, 9717, 519, 3461, 779, 1007, 5868, 540, 606, 970, 1090, 539, 1638, 776, 24869, 1355, 10510, 267, 1973, 543, 5642, 20768, 9525, 729, 11117, 676, 16796, 2079, 543, 5642, 20768, 8321, 566, 543, 23707, 269, 3131, 8327, 531, 1973, 1159, 792, 607, 1134, 607, 5642, 20768, 8321, 566, 543, 23707, 941, 2942, 585, 606, 2333, 538, 19046, 2281, 269, 24942, 20768, 8321, 622, 729, 16271, 547, 476, 1704, 24932, 324, 1985, 22831, 15971, 29508, 585, 7537, 299, 269, 3143, 13592, 941, 4857, 630, 8368, 476, 273, 1916, 763, 3461, 7109, 730, 1200, 6413, 16075, 1134, 543, 729, 25323, 609, 5528, 547, 1246, 909, 609, 1200, 2199, 32346, 6048, 269, 2701, 3788, 9800, 543, 27082, 1258, 12998, 29821, 630, 303, 4953, 8358, 6311, 18767, 786, 581, 5340, 585, 588, 1645, 543, 948, 3391, 3797, 269, 1473, 25934, 18068, 568, 9709, 1739, 6454, 538, 519, 11452, 630, 26542, 268, 866, 264, 6855, 563, 5960, 568, 606, 970, 1090, 539, 1638, 776, 19046, 1591, 18735, 540, 835, 610, 811, 540, 519, 24869, 1355, 1899, 1137, 267, 4611, 538, 17522, 540, 519, 3339, 6189, 540, 519, 5160, 538, 799, 621, 24865, 1547, 2755, 9049, 568, 7396, 538, 519, 2622, 2657, 9257, 630, 21766, 264, 607, 513, 1016, 6943, 540, 7537, 299, 267, 538, 4641, 621, 568, 513, 3982, 11769, 602, 11562, 1218, 2417, 27690, 543, 4719, 2079, 538, 606, 3801, 547, 5581, 922, 1378, 14959, 1016, 5035, 2305, 1547, 10021, 3320, 267, 9049, 9551, 525, 7537, 299, 267, 610, 1312, 2619, 3098, 616, 4362, 8195, 269, 9049, 949, 849, 1459, 632, 18051, 334, 267, 607, 513, 26739, 540, 7537, 299, 267, 610, 607, 513, 11144, 540, 513, 1991, 631, 9169, 267, 5312, 24869, 1355, 26679, 267, 543, 824, 24869, 641, 1503, 11717, 894, 683, 21182, 916, 1496, 274, 267, 276, 267, 277, 4940, 1772, 565, 730, 9049, 568, 5393, 4686, 267, 609, 606, 2949, 11841, 540, 1447, 982, 476, 272, 260, 607, 3379, 609, 476, 273, 269, 276, 268, 280, 260, 538, 2550, 609, 7537, 299, 1547, 9521, 938, 3461, 945, 1185, 782, 8328, 5642, 20768, 13003, 585, 631, 9169, 267, 519, 4080, 11841, 540, 9049, 1739, 782, 8328, 5642, 20768, 13003, 585, 7537, 299, 568, 476, 276, 268, 1321, 260, 609, 610, 1510, 5642, 20768, 9525, 1496, 279, 267, 280, 14073, 11693, 519, 1970, 11841, 540, 9049, 267, 16917, 328, 11043, 1239, 2611, 23661, 269, 9122, 593, 519, 3908, 1297, 540, 1804, 24794, 8826, 2090, 602, 723, 12649, 772, 2529, 269, 2665, 540, 9049, 267, 24272, 22057, 9038, 693, 606, 3328, 2085, 540, 476, 2568, 1296, 616, 693, 606, 2799, 1981, 540, 3384, 713, 4686, 2783, 269, 4045, 633, 5160, 267, 28244, 267, 2076, 2163, 776, 267, 543, 9667, 1062, 616, 519, 1034, 1455, 3119, 4609, 1547, 11374, 5868, 267, 519, 23567, 568, 1419, 2352, 547, 3313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5411, 540, 3854, 543, 1346, 945, 960, 585, 10909, 269, 3933, 3591, 3415, 14226, 4317, 4324, 16053, 269, 589, 1863, 2344, 786, 11716, 5007, 885, 563, 288, 7443, 12366, 2358, 24041, 6109, 568, 2693, 547, 11716, 2942, 5007, 885, 267, 971, 607, 5533, 689, 2504, 282, 713, 666, 2800, 2713, 4441, 563, 20118, 267, 513, 1863, 2344, 4346, 786, 896, 4491, 728, 5370, 609, 2318, 5007, 885, 267, 971, 607, 1072, 267, 1857, 3560, 543, 2069, 269, 901, 5012, 547, 606, 28537, 14305, 540, 2200, 563, 10214, 18793, 540, 16851, 786, 16153, 602, 2229, 11865, 540, 1978, 1857, 5370, 543, 1857, 2533, 616, 1898, 547, 12366, 1047, 519, 1761, 540, 513, 24041, 2486, 269, 769, 615, 1243, 5763, 543, 5763, 8635, 269, 589, 24041, 2486, 568, 1759, 593, 519, 3656, 1318, 547, 4357, 3959, 543, 519, 2702, 547, 1780, 593, 5763, 547, 2104, 5481, 563, 22479, 1388, 1235, 8044, 602, 513, 24041, 2486, 568, 4023, 1317, 596, 2744, 519, 12587, 540, 707, 2182, 960, 269, 1809, 267, 1419, 1004, 616, 3638, 267, 3274, 1317, 789, 27836, 5763, 610, 616, 4535, 883, 513, 29341, 1362, 269, 4475, 267, 24041, 2486, 711, 1152, 14543, 547, 1711, 7862, 540, 6364, 855, 849, 14543, 547, 1683, 7862, 540, 4316, 563, 296, 928, 638, 1275, 5932, 1514, 6498, 269, 5081, 7724, 799, 616, 3810, 21376, 1711, 32659, 543, 1514, 6498, 269, 17435, 514, 5109, 8589, 10626, 540, 5763, 269, 589, 24041, 2486, 13187, 621, 568, 1434, 952, 1004, 666, 7118, 811, 3056, 547, 4747, 543, 5763, 8635, 269, 3963, 13317, 1143, 568, 14568, 982, 4317, 1143, 4634, 896, 4998, 2175, 267, 25847, 1131, 1869, 29186, 267, 3081, 31869, 1326, 1144, 781, 26778, 645, 1066, 22974, 563, 21659, 8053, 345, 1923, 5147, 476, 2190, 267, 10749, 593, 25847, 543, 16851, 4340, 547, 1118, 543, 3892, 519, 4332, 540, 519, 2856, 540, 2504, 267, 543, 957, 1587, 1947, 547, 7639, 269, 1323, 16809, 540, 24180, 2140, 3259, 2681, 12773, 281, 910, 544, 19376, 18051, 752, 2899, 1767, 267, 13646, 267, 3092, 563, 9596, 1946, 519, 4909, 3017, 1063, 16851, 267, 2705, 267, 25847, 568, 513, 2898, 267, 621, 568, 606, 4346, 269, 8734, 476, 1556, 267, 5788, 2290, 1058, 4063, 602, 689, 519, 1376, 267, 16851, 267, 607, 519, 4540, 2797, 1062, 267, 1185, 513, 3983, 10639, 267, 543, 25847, 543, 25399, 607, 2093, 540, 513, 1732, 1547, 713, 1557, 568, 547, 6961, 602, 4004, 1143, 568, 513, 1732, 1106, 540, 2804, 3919, 267, 3379, 547, 16851, 563, 296, 786, 946, 891, 1739, 1806, 7862, 267, 7694, 267, 1072, 1416, 543, 2486, 267, 547, 1397, 1946, 4004, 1143, 568, 513, 1732, 1106, 540, 1772, 4004, 1143, 513, 1732, 2804, 1062, 982, 16851, 286, 590, 11691, 602, 16851, 568, 1732, 982, 25847, 568, 899, 6031, 602, 10888, 513, 2929, 9489, 568, 1732, 982, 1373, 538, 513, 1164, 1764, 1286, 16154, 563, 1103, 824, 1913, 267, 952, 596, 723, 606, 1930, 2247, 267, 513, 1434, 269, 3371, 616, 476, 1015, 4128, 1946, 25847, 568, 519, 1259, 4464, 547, 4194, 2486, 779, 2042, 269, 7201, 16851, 267, 1004, 616, 5258, 593, 519, 4493, 540, 1362, 269, 1703, 616, 519, 476, 272, 9077, 945, 1378, 519, 5763, 543, 519, 1797, 547, 3132, 5763, 267, 543, 519, 1964, 540, 721, 267, 519, 476, 4200, 9077, 945, 6133, 741, 11668, 547, 3132, 7443, 585, 519, 476, 272, 18336, 320, 1259, 585, 782, 31345, 543, 8589, 2213, 269, 0, 21504, 11979, 20704, 454, 21504, 1797, 519, 1505, 666, 581, 1572, 689, 1415, 3602, 454, 18878, 1797, 596, 1810, 1405, 723, 547, 1711, 606, 3236, 540, 519, 1362, 454, 341, 1355, 1797, 602, 596, 616, 711, 13059, 4376, 689, 519, 1362, 454, 300, 25514, 630, 3891, 777, 5288, 29571, 994, 273, 9537, 540, 25159, 538, 10084, 454, 22958, 14476, 281, 853, 1819, 538, 519, 16595, 2009, 3965, 267, 855, 666, 1152, 538, 331, 322, 8775, 25948, 2418, 971, 607, 281, 9981, 543, 13735, 17447, 269, 17266, 3197, 711, 6192, 12673, 267, 543, 29491, 2418, 269, 774, 344, 666, 581, 15600, 1360, 3533, 563, 4467, 14658, 27014, 281, 18421, 3116, 538, 707, 10084, 3498, 568, 2469, 547, 581, 6719, 607, 513, 1950, 1843, 563, 22958, 1438, 25948, 1239, 2010, 454, 297, 6072, 568, 606, 14648, 1893, 2495, 602, 519, 3498, 568, 16432, 547, 513, 3898, 602, 781, 14648, 693, 678, 29025, 2864, 982, 1373, 2196, 607, 3684, 3009, 2047, 269, 2334, 568, 1018, 2306, 519, 3156, 538, 28162, 15409, 563, 31262, 1315, 6396, 454, 3674, 513, 1305, 540, 3009, 602, 781, 20386, 909, 543, 1287, 2016, 513, 2012, 267, 865, 602, 621, 666, 581, 1572, 3362, 689, 824, 2694, 540, 519, 3498, 269, 769, 10084, 2705, 267, 649, 946, 519, 2165, 1505, 1317, 621, 781, 513, 1599, 602, 781, 513, 4759, 540, 513, 1362, 563, 14276, 1797, 519, 1505, 568, 2139, 547, 519, 3003, 3498, 610, 693, 2547, 547, 1022, 851, 540, 519, 3498, 602, 666, 1294, 519, 1362, 3294, 269, 1924, 952, 519, 1362, 568, 1857, 543, 873, 1385, 568, 1857, 267, 1287, 621, 666, 581, 1572, 689, 9170, 563, 7468, 10675, 568, 519, 6587, 269, 634, 1505, 568, 1152, 2139, 547, 3009, 1369, 713, 1362, 563, 28406, 539, 814, 547, 798, 609, 18472, 269, 589, 6870, 1505, 568, 2139, 547, 519, 1699, 1362, 543, 547, 1022, 540, 922, 1016, 5049, 563, 529, 519, 2189, 4999, 540, 17161, 543, 7440, 602, 519, 1505, 11392, 269, 0, 24426, 828, 6937, 267, 1239, 23563, 543, 26030, 2264, 6285, 616, 1818, 2462, 24657, 269, 1452, 6937, 1860, 782, 2127, 267, 1519, 1533, 15828, 5914, 6608, 267, 3782, 3906, 267, 1153, 13102, 267, 543, 4213, 540, 782, 7306, 269, 1548, 1131, 596, 798, 952, 707, 3919, 3893, 16091, 286, 1548, 1131, 596, 798, 952, 596, 941, 17792, 1569, 547, 707, 8668, 5989, 2394, 513, 26030, 568, 6976, 888, 1432, 616, 15536, 5900, 2931, 286, 589, 6880, 4323, 568, 513, 20982, 3801, 267, 1210, 17351, 3301, 267, 547, 31358, 610, 771, 762, 519, 3077, 3060, 779, 4238, 610, 547, 21102, 610, 18348, 6213, 1239, 269, 3143, 3919, 568, 2922, 689, 6880, 6285, 593, 922, 5989, 269, 4813, 518, 595, 8646, 16628, 3627, 16422, 1499, 2899, 1767, 267, 968, 2467, 616, 1079, 2010, 540, 3549, 281, 1346, 602, 723, 454, 1103, 519, 12687, 540, 513, 19996, 610, 824, 2067, 610, 812, 1500, 9568, 267, 835, 540, 519, 1034, 1271, 9270, 1310, 1272, 543, 2669, 3106, 3800, 267, 568, 3906, 759, 11167, 3339, 4238, 269, 2334, 1223, 1611, 2229, 8041, 267, 10506, 267, 4213, 610, 1256, 8323, 8041, 799, 949, 723, 1044, 4299, 269, 4578, 4027, 568, 835, 1858, 602, 3906, 1590, 1832, 0, 5475, 11835, 22828, 645, 269, 6154, 17507, 779, 9159, 2911, 593, 2038, 18322, 1308, 5208, 693, 519, 476, 1001, 280, 1977, 7732, 5948, 16316, 10985, 267, 649, 2893, 1524, 609, 519, 23171, 2160, 1686, 7548, 547, 4685, 4514, 883, 1200, 14046, 4690, 543, 946, 540, 3119, 6054, 269, 1284, 3838, 8711, 609, 596, 538, 519, 1034, 2487, 3888, 618, 540, 1234, 1228, 343, 779, 18623, 28423, 3126, 282, 2705, 267, 1100, 6643, 609, 6154, 17507, 1131, 581, 2347, 1510, 513, 1445, 593, 12138, 16803, 563, 13356, 3547, 1354, 6931, 2494, 3241, 21001, 24229, 779, 6667, 585, 519, 16340, 3118, 1159, 1662, 5734, 267, 513, 21717, 779, 1719, 538, 713, 1977, 679, 7950, 729, 13351, 538, 519, 12092, 3296, 540, 1200, 2199, 5399, 269, 6154, 17507, 1765, 15367, 7125, 9887, 602, 968, 28755, 5414, 1268, 892, 945, 6487, 811, 827, 16803, 982, 24455, 3116, 1765, 9418, 1242, 2390, 7487, 519, 7574, 585, 519, 1101, 942, 602, 1200, 960, 729, 519, 4493, 585, 519, 5152, 968, 307, 523, 667, 3241, 16710, 906, 3034, 5319, 2809, 713, 3297, 7308, 27214, 25333, 10004, 607, 6154, 17507, 11828, 1018, 1101, 17275, 1200, 1719, 538, 713, 28430, 15713, 4651, 267, 1946, 1310, 5756, 540, 1382, 646, 5170, 547, 3673, 3729, 1200, 267, 543, 875, 1352, 25221, 968, 295, 15071, 2494, 807, 892, 786, 1764, 1686, 269, 0, 763, 18786, 3163, 2835, 12927, 1883, 1983, 543, 2035, 2838, 676, 519, 2817, 6437, 585, 3163, 693, 6206, 8609, 476, 272, 269, 11554, 609, 606, 2937, 267, 1453, 1210, 713, 3126, 786, 2744, 1101, 11804, 1995, 540, 3621, 2553, 971, 607, 8343, 267, 3408, 267, 12605, 543, 10916, 543, 10442, 2963, 269, 11872, 585, 3610, 543, 3237, 1683, 3877, 540, 519, 3937, 543, 2326, 2877, 585, 519, 13753, 269, 18786, 3163, 3883, 476, 274, 6227, 2311, 24287, 27010, 476, 275, 267, 8447, 22948, 267, 1519, 281, 2369, 2358, 4948, 14233, 602, 946, 5201, 267, 875, 513, 2241, 5547, 1568, 267, 4229, 543, 5163, 630, 1721, 1383, 24864, 543, 27605, 1070, 2369, 2358, 1769, 2959, 267, 1818, 543, 16326, 4992, 543, 6616, 875, 3280, 12599, 543, 2242, 563, 21812, 281, 5576, 1993, 1752, 1299, 3244, 338, 13456, 9768, 281, 476, 7818, 5881, 273, 10204, 279, 8618, 275, 7089, 540, 3817, 281, 476, 1789, 13379, 281, 476, 3445, 575, 17435, 5014, 281, 476, 29574, 1535, 476, 13975, 1535, 476, 273, 6515, 9990, 281, 1715, 1196, 540, 476, 273, 4860, 2213, 1196, 454, 8245, 2952, 15395, 2228, 543, 2628, 693, 519, 4831, 950, 596, 2445, 563, 13510, 9005, 538, 6300, 689, 1175, 1079, 3108, 267, 1641, 547, 8244, 563, 14188, 596, 585, 707, 30063, 454, 7312, 1931, 568, 1631, 1373, 9268, 543, 649, 723, 2366, 513, 21533, 4757, 547, 596, 693, 454, 1607, 6221, 666, 581, 16761, 689, 519, 15945, 3254, 2630, 269, 1403, 713, 6221, 3884, 1405, 2139, 547, 581, 11603, 7404, 267, 1039, 519, 6221, 547, 707, 11127, 3079, 543, 2824, 1412, 22013, 1853, 547, 1250, 2199, 6300, 262, 693, 519, 2638, 719, 267, 547, 581, 2111, 547, 2445, 621, 689, 972, 693, 513, 2663, 4266, 563, 2691, 786, 1250, 1931, 581, 4712, 547, 2445, 888, 16729, 519, 3355, 4757, 267, 596, 786, 581, 30409, 676, 519, 6300, 547, 6166, 602, 707, 6221, 568, 2139, 585, 4015, 563, 24445, 721, 593, 610, 6494, 721, 606, 4757, 693, 454, 19013, 972, 814, 1044, 513, 1966, 609, 707, 1931, 454, 8923, 2119, 1586, 610, 4244, 569, 596, 666, 3346, 707, 6074, 6300, 593, 610, 6494, 721, 606, 4757, 693, 0, 3412, 22861, 1436, 568, 513, 2339, 540, 1272, 610, 2669, 585, 6634, 540, 1004, 538, 519, 2112, 2389, 1941, 2197, 267, 2523, 1453, 563, 12850, 267, 899, 4984, 543, 16809, 267, 814, 519, 1379, 547, 1847, 6634, 540, 1004, 269, 4595, 519, 1360, 4332, 540, 1480, 10340, 267, 1004, 723, 6410, 547, 7017, 2673, 547, 1216, 563, 10144, 1847, 950, 972, 568, 1932, 2370, 540, 621, 269, 4658, 1847, 950, 972, 568, 1932, 1454, 540, 621, 269, 4658, 3460, 1524, 621, 563, 10144, 2328, 543, 2206, 543, 7544, 543, 5326, 827, 621, 269, 4658, 4339, 936, 621, 269, 1656, 782, 1004, 267, 10876, 543, 1169, 1554, 267, 991, 621, 269, 1284, 991, 621, 585, 6704, 267, 585, 5986, 267, 585, 11067, 267, 585, 1426, 267, 585, 2872, 267, 585, 1648, 267, 585, 3560, 267, 585, 12738, 267, 585, 1187, 267, 585, 1272, 269, 1656, 621, 568, 711, 1152, 649, 3425, 945, 991, 621, 282, 782, 1272, 568, 8200, 593, 1216, 547, 7639, 563, 3719, 649, 1796, 2221, 593, 519, 1490, 1074, 6820, 1216, 6433, 1557, 513, 2518, 1216, 6433, 269, 634, 1079, 2101, 23543, 540, 519, 476, 736, 628, 11416, 910, 519, 2551, 543, 6639, 30762, 910, 723, 3144, 741, 17167, 593, 938, 1216, 3761, 563, 5415, 1004, 3668, 6704, 1216, 2221, 982, 789, 1705, 1079, 5756, 3516, 269, 2859, 543, 811, 15195, 2959, 616, 1373, 1031, 5346, 543, 13572, 269, 7073, 4066, 723, 4847, 721, 547, 10244, 1454, 540, 519, 1158, 781, 1216, 585, 1648, 267, 2872, 543, 12555, 910, 855, 1419, 693, 513, 15265, 1514, 543, 2825, 3902, 910, 543, 1082, 2757, 1216, 5726, 2853, 723, 1044, 23987, 2059, 519, 1259, 563, 7197, 540, 519, 3435, 547, 519, 6433, 1590, 581, 2919, 543, 8045, 12725, 267, 543, 2141, 609, 519, 2070, 602, 1216, 568, 711, 547, 581, 3144, 585, 11292, 267, 610, 24407, 569, 3261, 730, 676, 1880, 2516, 585, 1880, 2115, 269, 4826, 568, 519, 1034, 1271, 2582, 3693, 2877, 538, 1931, 585, 1004, 547, 3035, 519, 8471, 1480, 1318, 547, 834, 320, 3044, 540, 2713, 7850, 585, 519, 1072, 543, 1134, 5630, 540, 5128, 543, 1010, 1920, 563, 4131, 721, 11760, 602, 2973, 1216, 568, 513, 8471, 1480, 1318, 267, 543, 538, 865, 3257, 3398, 602, 649, 723, 519, 7222, 8471, 5539, 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 ]
[ 8013, 3902, 269, 5440, 14273, 2709, 28774, 543, 824, 3091, 547, 5561, 945, 1931, 1896, 6464, 543, 6151, 2326, 269, 901, 786, 1450, 596, 547, 4688, 2724, 1279, 3856, 269, 0, 10574, 8699, 4016, 547, 6111, 267, 8244, 267, 1264, 28467, 267, 11007, 267, 10220, 543, 3354, 540, 513, 2016, 1239, 1448, 269, 6969, 4304, 519, 1699, 2042, 267, 649, 786, 13713, 2491, 519, 2495, 3297, 891, 2035, 912, 1103, 2489, 267, 3625, 577, 1622, 616, 4628, 12001, 267, 1857, 1949, 602, 616, 1930, 547, 3025, 609, 1569, 547, 513, 6843, 269, 1809, 267, 1239, 8699, 2152, 6414, 5103, 891, 2934, 269, 4107, 540, 519, 1883, 2042, 602, 991, 547, 581, 9619, 616, 1813, 547, 519, 3668, 540, 32301, 2066, 519, 2872, 269, 16257, 338, 543, 1239, 19767, 2268, 6508, 4632, 543, 6724, 8335, 4470, 593, 519, 1239, 3898, 269, 901, 2164, 538, 1239, 1373, 9268, 8335, 267, 799, 347, 15290, 26987, 936, 1804, 1239, 5036, 347, 26078, 757, 8763, 1167, 867, 1734, 2066, 1018, 1058, 581, 7833, 7664, 563, 2467, 568, 1100, 8471, 3339, 1436, 4480, 602, 1568, 593, 1169, 10471, 269, 12213, 267, 6297, 2079, 543, 4806, 9477, 616, 7533, 547, 17021, 1239, 602, 779, 4977, 543, 29829, 269, 7464, 8996, 1239, 2882, 13311, 267, 11234, 267, 543, 7508, 1239, 2798, 602, 723, 547, 581, 17411, 5402, 607, 789, 949, 6338, 9186, 883, 519, 2164, 269, 2334, 779, 1946, 1034, 7653, 3747, 513, 1239, 11653, 270, 534, 3315, 560, 547, 4612, 519, 1239, 543, 3631, 883, 513, 1106, 602, 1866, 666, 3362, 1174, 269, 4634, 2241, 6508, 14573, 616, 20402, 269, 1280, 1383, 267, 593, 519, 31123, 3122, 6395, 302, 263, 278, 264, 751, 5586, 1090, 1895, 540, 9367, 543, 1546, 22380, 12439, 267, 519, 2243, 729, 15054, 912, 257, 9989, 4896, 917, 1946, 519, 7641, 299, 1496, 13707, 10025, 700, 18088, 316, 2338, 593, 4347, 328, 700, 4594, 320, 543, 4347, 328, 17240, 572, 1397, 589, 1511, 19925, 476, 278, 269, 276, 289, 7641, 299, 1247, 589, 1511, 779, 1378, 3135, 3081, 789, 2461, 1657, 476, 1015, 289, 24350, 4517, 519, 3210, 729, 8209, 13016, 912, 257, 299, 1197, 720, 269, 5381, 547, 3281, 895, 2063, 4832, 267, 596, 666, 22937, 1018, 596, 10210, 799, 6087, 15407, 8105, 4799, 1103, 713, 5385, 267, 649, 1294, 7426, 14139, 1114, 16097, 267, 1312, 31002, 589, 1511, 7641, 299, 269, 589, 1511, 2882, 22107, 8172, 12029, 538, 741, 7641, 299, 267, 1247, 4347, 328, 700, 4594, 320, 263, 280, 264, 543, 4347, 328, 17240, 572, 263, 279, 264, 798, 711, 269, 769, 2757, 8804, 267, 649, 723, 1808, 267, 14931, 10297, 585, 8051, 1239, 269, 6736, 7833, 6151, 1239, 267, 27696, 7648, 28173, 602, 1239, 581, 13042, 8335, 269, 1323, 1383, 568, 661, 289, 3951, 6395, 543, 661, 289, 3951, 269, 661, 289, 3951, 15109, 513, 2754, 779, 16977, 2179, 540, 4747, 6383, 543, 661, 289, 3951, 6395, 2488, 513, 25135, 14653, 540, 513, 2754, 779, 2949, 6666, 2095, 269, 5637, 616, 6038, 1271, 950, 7421, 513, 2754, 779, 2883, 2773, 267, 855, 1142, 9819, 5713, 513, 3982, 3483, 563, 2414, 1683, 2872, 6015, 267, 519, 27696, 8810, 766, 540, 6508, 1239, 1590, 581, 2912, 1243, 269, 4563, 4216, 270, 1440, 643, 520, 1242, 1239, 7664, 14944, 1149, 6015, 267, 799, 568, 513, 4831, 842, 30698, 1239, 3390, 585, 15597, 2139, 13332, 577, 1622, 269, 28946, 5658, 31758, 713, 676, 8744, 3339, 1436, 540, 1239, 543, 27696, 11413, 547, 519, 5117, 693, 1804, 269, 0, 1103, 24205, 267, 649, 5781, 1865, 875, 5198, 568, 513, 1514, 27043, 269, 4039, 8271, 982, 1373, 513, 1305, 1062, 540, 8760, 12082, 538, 5214, 11984, 267, 7292, 11984, 568, 630, 663, 814, 693, 782, 2053, 1044, 264, 2813, 3842, 1514, 4205, 267, 3795, 267, 543, 2686, 2495, 6194, 269, 5808, 779, 3769, 538, 1880, 7292, 5049, 568, 5714, 543, 2796, 17466, 267, 2141, 13346, 936, 942, 269, 6481, 543, 5214, 3744, 616, 811, 543, 811, 4358, 547, 3858, 609, 713, 25349, 1620, 540, 5198, 269, 1280, 835, 3364, 16957, 569, 12082, 865, 16119, 538, 11976, 267, 972, 949, 581, 19599, 2370, 6169, 547, 4363, 602, 5198, 568, 606, 2500, 2268, 585, 4719, 30846, 563, 5475, 649, 25077, 602, 5198, 568, 513, 1514, 27043, 267, 649, 786, 2253, 711, 6005, 519, 2409, 998, 799, 5198, 543, 7292, 11984, 616, 2141, 1373, 7858, 7007, 267, 630, 516, 264, 719, 20040, 267, 543, 4396, 1881, 676, 1514, 3157, 543, 24284, 269, 1215, 10909, 2203, 543, 3895, 741, 25584, 568, 513, 1360, 3007, 3766, 4599, 6883, 1505, 998, 799, 2495, 6194, 4386, 5180, 7292, 11984, 269, 1306, 789, 2344, 741, 25584, 547, 6300, 11825, 3842, 5009, 267, 10909, 1921, 1514, 10096, 547, 741, 25584, 269, 1280, 3236, 267, 513, 21489, 2203, 3085, 1406, 3895, 31321, 3274, 1317, 11570, 1616, 31321, 282, 21230, 267, 519, 2203, 23619, 31321, 607, 513, 1267, 540, 789, 22321, 6300, 11825, 602, 972, 779, 513, 4241, 1272, 16654, 1644, 547, 519, 31321, 630, 324, 3052, 1421, 513, 10715, 540, 1373, 18512, 267, 1863, 267, 968, 322, 944, 5608, 610, 15141, 1190, 1040, 2201, 713, 2631, 267, 9755, 1142, 21613, 938, 2686, 2344, 543, 1860, 1018, 649, 2503, 568, 4241, 543, 519, 1259, 649, 1711, 799, 1797, 563, 15761, 571, 25015, 267, 2372, 6033, 744, 1846, 5189, 789, 8910, 1689, 741, 476, 9873, 4458, 3105, 2203, 540, 968, 288, 2863, 808, 655, 9874, 5204, 14442, 892, 799, 1185, 12286, 513, 4605, 540, 513, 4563, 8004, 269, 2991, 1857, 9880, 267, 2372, 6033, 744, 1846, 729, 25997, 547, 20920, 609, 519, 5168, 602, 741, 2203, 779, 5169, 729, 1759, 6140, 593, 519, 968, 332, 20632, 892, 7292, 8305, 9189, 1107, 606, 20665, 8004, 3335, 13269, 607, 5230, 1305, 267, 20148, 344, 267, 543, 18979, 569, 13991, 547, 1200, 6519, 1920, 269, 1520, 591, 1206, 543, 2010, 899, 891, 267, 543, 519, 11475, 789, 2461, 11251, 538, 267, 616, 11269, 540, 7292, 11984, 602, 3049, 883, 543, 4217, 4396, 1518, 519, 7292, 15796, 543, 8760, 1062, 563, 10048, 3011, 20445, 543, 18537, 723, 10123, 8329, 547, 7292, 10096, 3842, 741, 26007, 540, 6519, 11570, 269, 1280, 3236, 267, 589, 828, 322, 19407, 773, 1299, 674, 3558, 616, 25337, 585, 519, 2409, 998, 799, 741, 18537, 723, 10704, 593, 5009, 711, 3274, 23157, 2705, 513, 4605, 540, 16918, 17642, 8864, 607, 4241, 543, 835, 3364, 547, 3801, 585, 269, 1306, 667, 342, 697, 5062, 289, 20183, 13187, 538, 1010, 552, 1433, 593, 519, 1641, 267, 519, 9746, 6707, 1500, 513, 2203, 856, 540, 6519, 17979, 543, 12796, 1881, 621, 607, 513, 4241, 1272, 16654, 602, 18046, 1522, 12492, 676, 9140, 741, 9660, 563, 303, 1112, 999, 538, 17048, 1132, 543, 1114, 18537, 5176, 4625, 9672, 8626, 27274, 6474, 267, 1303, 6005, 267, 6519, 535, 1662, 687, 4330, 607, 968, 5472, 1977, 892, 543, 607, 2348, 968, 335, 675, 14996, 775, 892, 1107, 19039, 569, 2144, 2084, 1022, 6803, 610, 7292, 2039, 1369, 519, 772, 2529, 269, 634, 2203, 779, 27527, 585, 17642, 8864, 729, 10123, 10423, 540, 741, 25641, 17849, 2853, 585, 10685, 518, 7390, 1218, 267, 799, 538, 519, 1439, 3366, 547, 513, 1362, 268, 9146, 27779, 602, 6603, 513, 1269, 2412, 2929, 11175, 563, 306, 611, 569, 267, 27195, 11570, 540, 12094, 689, 18537, 786, 711, 581, 10058, 547, 589, 828, 322, 19407, 773, 1299, 674, 3558, 269, 769, 513, 5767, 4983, 540, 519, 1587, 17048, 1132, 689, 1079, 540, 9247, 519, 1034, 13747, 5122, 13176, 9755, 1369, 519, 772, 2529, 269, 1063, 476, 4198, 276, 268, 2735, 273, 267, 18498, 932, 7596, 327, 776, 9060, 602, 4563, 11570, 723, 1044, 18928, 16934, 689, 1587, 5961, 282, 1256, 952, 4563, 7260, 5182, 13176, 1235, 2442, 1242, 519, 6293, 2429, 713, 942, 269, 634, 2376, 267, 9102, 4505, 713, 29757, 538, 5081, 1670, 17564, 4604, 267, 13187, 602, 891, 18537, 616, 14436, 540, 519, 22457, 267, 17478, 626, 2035, 5180, 7292, 15796, 543, 11984, 602, 723, 1044, 17618, 21883, 538, 602, 1974, 269, 769, 602, 2882, 5176, 4625, 6519, 13176, 1235, 543, 1997, 908, 5122, 1368, 527, 1513, 609, 6519, 27828, 267, 519, 13747, 4563, 13176, 1235, 945, 4646, 513, 2603, 540, 519, 2575, 593, 519, 942, 723, 1044, 21235, 1875, 7721, 11962, 543, 13061, 547, 519, 2575, 1870, 563, 1432, 891, 1806, 782, 1459, 568, 602, 12303, 1022, 20161, 786, 581, 6216, 539, 543, 30630, 538, 2081, 538, 799, 1404, 883, 22457, 11475, 543, 4196, 547, 4396, 1518, 1733, 2572, 685, 7555, 1369, 519, 7292, 15796, 269, 24641, 10909, 1223, 2408, 547, 581, 7432, 883, 3063, 13998, 6857, 25015, 267, 513, 2603, 3788, 547, 581, 2451, 547, 798, 547, 1118, 2386, 602, 11570, 540, 12094, 723, 5168, 995, 543, 16268, 14745, 538, 711, 3274, 519, 18537, 2933, 855, 538, 1840, 519, 7499, 1576, 540, 3297, 873, 269, 0, 21196, 476, 275, 1107, 1627, 476, 274, 269, 1548, 941, 519, 4539, 540, 519, 5080, 520, 8237, 286, 8890, 572, 269, 594, 3008, 321, 19487, 5130, 476, 1691, 267, 476, 1708, 272, 476, 271, 717, 306, 476, 272, 267, 4095, 3778, 1299, 5403, 268, 5715, 11163, 267, 570, 10861, 27138, 28903, 631, 1622, 8382, 5675, 476, 274, 269, 1548, 941, 519, 4539, 540, 519, 5080, 520, 8237, 286, 8890, 572, 269, 29334, 5936, 480, 18892, 23371, 21999, 17775, 7162, 369, 18028, 511, 14098, 506, 23547, 21999, 17775, 7162, 359, 18892, 18028, 352, 14098, 362, 21999, 11695, 363, 11111, 7162, 354, 17775, 286, 7162, 369, 18028, 370, 11695, 366, 17775, 2633, 371, 2633, 352, 21999, 18892, 17775, 23517, 5936, 353, 1280, 513, 6131, 9263, 1895, 267, 31802, 1299, 16797, 10311, 267, 15012, 938, 4013, 751, 5586, 1090, 8756, 1107, 4179, 2517, 339, 269, 1889, 270, 296, 3008, 321, 19487, 302, 24810, 28398, 4427, 18285, 547, 938, 13334, 19305, 28313, 547, 4585, 11512, 518, 27678, 267, 15613, 590, 32268, 267, 5440, 11825, 13669, 802, 1299, 1082, 811, 2507, 13565, 24762, 2433, 4303, 476, 275, 1107, 1627, 476, 273, 269, 19410, 2390, 519, 1909, 540, 27998, 1282, 519, 3355, 11775, 540, 5191, 6560, 269, 3367, 2859, 4303, 476, 275, 1107, 1627, 476, 275, 269, 25826, 519, 10952, 4493, 540, 519, 4210, 3547, 6062, 3350, 269, 1215, 1705, 621, 1860, 519, 5784, 543, 5380, 540, 606, 3328, 4095, 1394, 1287, 286, 9181, 269, 3367, 2859, 2776, 32093, 1401, 5477, 19510, 1107, 476, 1708, 274, 307, 10861, 5131, 19541, 1107, 18001, 476, 272, 289, 19487, 779, 717, 584, 4157, 592, 11628, 306, 268, 6579, 303, 476, 1708, 274, 307, 10861, 4045, 1299, 570, 10861, 263, 266, 264, 1107, 476, 1708, 274, 289, 629, 553, 717, 584, 4157, 592, 476, 1708, 274, 298, 4916, 5746, 10861, 476, 1708, 274, 1107, 32172, 18028, 480, 2633, 355, 21005, 306, 1539, 1108, 7690, 6092, 2304, 6605, 1108, 7690, 6092, 8530, 268, 3849, 2381, 7690, 6092, 298, 2335, 3385, 9085, 7690, 6092, 19425, 1161, 1107, 11545, 24762, 5130, 21938, 18550, 19688, 9802, 18907, 20809, 20606, 20826, 19751, 21776, 20103, 476, 1001, 30663, 15094, 26289, 1001, 280, 736, 1708, 28512, 1708, 13136, 22446, 271, 2190, 1708, 26392, 2918, 6129, 3933, 570, 826, 11205, 774, 340, 29443, 9045, 476, 1321, 476, 24833, 277, 4281, 280, 476, 6200, 12208, 14530, 25870, 1626, 476, 14378, 279, 866, 1708, 14338, 2537, 476, 26237, 276, 2918, 26604, 279, 3066, 1789, 476, 4029, 10765, 24762, 21096, 6579, 312, 595, 7838, 305, 7728, 19200, 11902, 7644, 306, 594, 3008, 1923, 772, 28903, 2776, 32093, 543, 631, 1622, 11929, 1107, 476, 272, 560, 5412, 476, 1708, 273, 9040, 320, 779, 11512, 518, 1107, 3127, 779, 7913, 8297, 701, 324, 281, 14055, 290, 1496, 2562, 9898, 26177, 5442, 296, 2316, 288, 20937, 316, 6056, 267, 681, 996, 1074, 543, 9524, 630, 307, 14641, 264, 1496, 31165, 476, 280, 316, 476, 1708, 273, 585, 772, 28903, 270, 296, 3008, 22226, 4530, 256, 772, 28903, 13658, 1107, 476, 1708, 273, 2433, 594, 3008, 321, 19487, 779, 11545, 7351, 16457, 13658, 476, 272, 560, 5412, 476, 1708, 273, 3127, 6363, 8896, 1894, 8490, 12752, 5082, 7394, 20607, 30868, 3493, 21090, 540, 22859, 701, 324, 12539, 12650, 675, 13139, 5314, 543, 19554, 4414, 4541, 1554, 5213, 1406, 6336, 856, 593, 1022, 1271, 5403, 543, 22352, 269, 6258, 4948, 609, 20226, 8627, 19478, 17372, 4427, 18285, 19845, 4811, 717, 4953, 14298, 18426, 256, 0, 3080, 1131, 9114, 1369, 519, 3741, 538, 454, 3891, 568, 4535, 543, 5581, 519, 2898, 1004, 540, 7115, 267, 21481, 814, 922, 2442, 1436, 540, 8788, 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 ]
[ 3007, 563, 8855, 519, 27099, 834, 293, 17129, 257, 547, 2697, 8482, 2589, 281, 8131, 5323, 14563, 267, 14022, 8467, 267, 16594, 7411, 563, 8340, 5078, 4127, 617, 566, 585, 9972, 4961, 0, 22512, 5321, 2709, 513, 2039, 540, 2533, 547, 8597, 547, 519, 3309, 2115, 540, 2043, 945, 2154, 6351, 543, 1489, 538, 741, 3232, 2729, 269, 1452, 6703, 616, 3335, 19040, 883, 1079, 1292, 2010, 281, 10821, 5321, 543, 8808, 5321, 563, 4910, 7808, 1416, 5321, 1683, 22098, 543, 2123, 1416, 2533, 269, 1358, 616, 2966, 547, 4217, 7264, 609, 1585, 2238, 540, 3232, 2713, 267, 1519, 855, 711, 3908, 547, 912, 10112, 12371, 609, 28876, 543, 2123, 9882, 563, 13900, 4771, 609, 19703, 543, 25462, 563, 3849, 2381, 3563, 532, 6527, 607, 2877, 563, 19423, 1359, 1489, 609, 13125, 1154, 543, 10688, 563, 6624, 10821, 1416, 5321, 849, 10891, 2238, 543, 856, 902, 547, 3986, 7264, 262, 2298, 540, 1272, 543, 1514, 6278, 563, 301, 2720, 532, 5321, 267, 849, 1634, 607, 1416, 5321, 609, 8808, 267, 2709, 2123, 1416, 2533, 609, 519, 3773, 4324, 540, 2348, 11727, 11923, 593, 5234, 1472, 519, 9219, 269, 901, 8808, 1416, 568, 2629, 585, 2043, 609, 811, 1950, 2564, 2115, 269, 16711, 5321, 949, 8597, 547, 2043, 945, 2154, 912, 4504, 2400, 8808, 1416, 1813, 547, 4049, 1072, 2175, 563, 10112, 2700, 609, 1950, 2564, 5773, 267, 971, 607, 897, 739, 3912, 1416, 610, 8546, 8023, 563, 28874, 585, 2043, 609, 4049, 1565, 9124, 610, 2168, 9124, 563, 763, 4527, 540, 11727, 11923, 5849, 602, 7264, 4309, 519, 7463, 1416, 789, 991, 563, 20812, 8455, 5516, 23467, 912, 5278, 1416, 5321, 1683, 513, 4999, 540, 1312, 10821, 543, 8808, 1416, 4025, 269, 901, 17545, 2636, 2043, 547, 5912, 16900, 1063, 2157, 540, 1416, 607, 741, 2115, 11457, 563, 763, 1942, 540, 1416, 5321, 666, 4268, 3648, 1759, 593, 519, 1826, 540, 1416, 3177, 543, 519, 4087, 540, 519, 9744, 269, 13575, 267, 8808, 5321, 4043, 547, 581, 811, 7199, 982, 10821, 5321, 1813, 547, 519, 3606, 8808, 1416, 2533, 789, 2709, 563, 22512, 5321, 1404, 513, 2629, 1909, 538, 3246, 1416, 543, 1489, 585, 2043, 945, 2154, 6351, 609, 3232, 2238, 610, 723, 1950, 2564, 2115, 269, 4197, 519, 21441, 1063, 10821, 543, 8808, 1416, 5321, 267, 607, 1134, 607, 10316, 3681, 267, 568, 1898, 950, 1818, 3664, 827, 1279, 3856, 1416, 585, 3054, 610, 513, 6068, 835, 269, 3958, 267, 6236, 519, 2404, 3790, 543, 1761, 2883, 1489, 3681, 568, 4105, 585, 2500, 1416, 4058, 563, 8340, 5078, 4127, 617, 566, 585, 9972, 4961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1788, 1544, 568, 606, 1898, 1900, 547, 2327, 3811, 1788, 12032, 269, 898, 3322, 4259, 2312, 6859, 267, 9591, 519, 1788, 779, 9165, 267, 543, 8159, 519, 2200, 543, 15415, 2877, 547, 3914, 519, 3853, 269, 589, 1788, 1544, 1058, 849, 1331, 1981, 2359, 2994, 267, 3157, 267, 543, 5773, 585, 5464, 543, 10442, 3356, 269, 1677, 1711, 606, 2500, 1788, 1544, 267, 621, 568, 1271, 547, 5077, 609, 8639, 543, 2319, 2818, 547, 2327, 3025, 17358, 519, 6859, 267, 5107, 267, 543, 9021, 2404, 609, 519, 1788, 269, 3958, 267, 621, 568, 1271, 547, 5781, 2689, 519, 1544, 547, 2327, 602, 621, 20383, 609, 519, 1788, 779, 4657, 2115, 269, 2060, 891, 3268, 538, 2247, 267, 3906, 666, 1711, 513, 3102, 1788, 1544, 602, 3927, 10274, 873, 4724, 3811, 12032, 563, 1692, 547, 3763, 513, 5741, 21480, 281, 15043, 513, 1788, 8430, 568, 2565, 538, 1788, 4058, 269, 898, 3322, 2870, 513, 15415, 585, 519, 12032, 540, 519, 1788, 543, 8840, 1524, 519, 4247, 883, 25098, 269, 634, 8430, 1058, 1331, 21852, 585, 1142, 540, 519, 4247, 267, 607, 1134, 607, 19325, 547, 5815, 950, 1978, 4247, 723, 1044, 6192, 269, 898, 568, 1271, 547, 2327, 602, 782, 8639, 917, 519, 15415, 543, 723, 942, 547, 2689, 621, 1354, 1022, 2242, 616, 1500, 269, 12020, 666, 948, 2057, 14427, 17799, 543, 948, 1832, 3785, 593, 3950, 269, 1879, 2870, 513, 8430, 267, 621, 568, 1271, 547, 2015, 29444, 1063, 4247, 267, 971, 607, 952, 835, 4305, 1590, 581, 6192, 1354, 1776, 666, 2253, 269, 898, 568, 849, 1271, 547, 2272, 585, 1761, 4220, 610, 2152, 543, 1544, 9935, 269, 14936, 267, 621, 568, 1898, 547, 2327, 602, 2200, 616, 2139, 950, 2877, 547, 2743, 519, 21852, 269, 1635, 1739, 891, 3268, 267, 6887, 666, 1711, 3102, 1788, 16131, 602, 2327, 519, 12905, 12032, 540, 3785, 563, 16032, 13756, 585, 5741, 12020, 543, 2480, 1117, 30389, 281, 1879, 621, 2501, 547, 1788, 4058, 543, 20319, 267, 621, 568, 1271, 547, 2327, 602, 519, 1544, 543, 8430, 616, 10853, 269, 901, 1797, 6236, 519, 2200, 2877, 267, 519, 15415, 585, 12032, 267, 543, 519, 2319, 779, 4390, 269, 898, 568, 849, 2629, 547, 2327, 602, 519, 1544, 543, 8430, 616, 1134, 268, 10919, 5344, 547, 3025, 3238, 538, 519, 1788, 269, 901, 3322, 4259, 6788, 267, 26471, 4247, 267, 543, 3246, 2834, 10311, 593, 3356, 269, 3958, 267, 621, 568, 1271, 547, 3715, 513, 1062, 540, 12477, 2038, 593, 547, 2327, 3025, 568, 3743, 585, 5870, 21852, 543, 11264, 741, 4247, 269, 1635, 1739, 891, 1655, 2853, 585, 1788, 4058, 543, 20319, 267, 6887, 666, 2327, 741, 3785, 616, 6192, 593, 942, 543, 1369, 6578, 563, 6962, 281, 5741, 4058, 543, 20319, 616, 1898, 547, 3811, 1788, 2359, 269, 5741, 4058, 2337, 547, 2697, 519, 3853, 540, 513, 1788, 267, 1247, 519, 1788, 8430, 2337, 547, 4786, 856, 519, 2238, 543, 4247, 2877, 547, 3035, 519, 1788, 3853, 269, 5637, 3157, 616, 1271, 585, 12180, 2200, 267, 4227, 1981, 267, 543, 4180, 519, 3811, 12032, 540, 3785, 269, 4197, 519, 3604, 1063, 1788, 4058, 543, 20319, 568, 1271, 547, 946, 873, 3927, 269, 20871, 666, 1711, 2500, 4566, 602, 948, 2327, 3811, 3785, 676, 5265, 16107, 1312, 3157, 563, 19061, 11485, 9142, 454, 1432, 616, 519, 1883, 3604, 1063, 1788, 4058, 5288, 269, 20319, 563, 19061, 4058, 5288, 269, 20319, 268, 616, 789, 519, 1482, 286, 1411, 1522, 723, 4862, 519, 1909, 540, 4643, 1676, 13478, 3481, 17526, 538, 513, 1788, 269, 6496, 621, 1611, 602, 1773, 22395, 1299, 2480, 1117, 592, 619, 798, 519, 1482, 960, 286, 3657, 968, 5522, 8911, 892, 543, 968, 306, 3481, 30389, 892, 519, 1482, 2474, 286, 1403, 711, 267, 1018, 616, 519, 1883, 3604, 1063, 5741, 12020, 5288, 269, 2480, 1117, 30389, 286, 6744, 713, 3381, 676, 3220, 269, 22312, 327, 454, 763, 2022, 1548, 616, 519, 1883, 3604, 1063, 5741, 12020, 5288, 269, 2480, 1117, 30389, 286, 7902, 1101, 593, 5741, 6513, 9142, 4586, 268, 1215, 6496, 513, 5741, 2552, 28948, 6513, 513, 5741, 888, 268, 8668, 11485, 15440, 693, 1627, 2464, 1107, 8668, 268, 15697, 454, 268, 11773, 2685, 19737, 14716, 631, 9298, 268, 19061, 338, 1107, 9351, 4886, 454, 268, 19484, 634, 12866, 1912, 1162, 538, 519, 5020, 12860, 540, 513, 14716, 5741, 1107, 808, 291, 10016, 571, 454, 268, 476, 276, 6206, 16497, 594, 3231, 2740, 2334, 3690, 11526, 3733, 5729, 454, 32306, 513, 16253, 22599, 16253, 563, 7312, 4757, 2232, 786, 711, 581, 3370, 269, 22490, 4610, 616, 6825, 27661, 24591, 1250, 2012, 267, 4757, 267, 543, 3896, 538, 713, 11422, 585, 519, 1985, 942, 594, 6085, 563, 16032, 14716, 2480, 1117, 30389, 12229, 476, 1708, 274, 454, 2889, 915, 31193, 2593, 1543, 543, 1587, 7840, 616, 9375, 6053, 4830, 269, 1284, 949, 1118, 2724, 950, 596, 4945, 593, 6402, 547, 938, 4891, 269, 6258, 2859, 4586, 8368, 540, 12937, 454, 1432, 568, 4070, 20319, 3301, 267, 1313, 3941, 330, 1628, 267, 1628, 1068, 16781, 267, 9279, 517, 560, 1192, 267, 2010, 540, 4070, 20319, 3301, 267, 1455, 2934, 540, 4070, 20319, 3301, 267, 1018, 568, 519, 1655, 4070, 20319, 3301, 563, 268, 29740, 2987, 2792, 543, 5698, 2645, 454, 268, 12197, 8989, 454, 268, 29456, 540, 8430, 543, 824, 6054, 689, 519, 6531, 454, 268, 623, 878, 532, 568, 513, 3815, 585, 4130, 4213, 454, 268, 8648, 18694, 4183, 568, 998, 5610, 454, 268, 16258, 3758, 14202, 338, 454, 268, 20865, 1788, 11413, 454, 268, 20305, 6999, 585, 811, 16022, 30892, 454, 268, 13724, 906, 538, 2053, 18694, 8989, 454, 268, 21091, 4305, 2359, 543, 12957, 454, 268, 5741, 717, 656, 339, 5750, 454, 268, 2271, 30698, 30892, 454, 268, 590, 1742, 1932, 1082, 711, 5874, 454, 268, 20305, 6999, 585, 513, 4070, 8430, 10959, 543, 824, 1644, 17074, 454, 268, 21091, 4305, 5137, 267, 20319, 267, 10862, 2359, 267, 543, 7084, 9477, 454, 268, 11879, 2619, 8446, 454, 268, 6153, 14839, 540, 1788, 454, 268, 20305, 6999, 585, 4443, 12957, 540, 4247, 454, 268, 12769, 553, 1308, 2591, 538, 5610, 454, 268, 6239, 2359, 540, 2789, 3785, 454, 268, 21436, 2359, 543, 5698, 454, 268, 13786, 633, 6075, 1489, 454, 268, 20305, 6999, 585, 3986, 906, 538, 519, 2883, 2645, 899, 1237, 10094, 543, 9204, 454, 268, 16353, 813, 2934, 960, 8335, 689, 519, 1357, 4528, 454, 268, 22868, 924, 8989, 454, 268, 10439, 1788, 9477, 454, 268, 661, 848, 540, 14764, 543, 946, 454, 268, 20126, 6454, 538, 5883, 2789, 8747, 543, 20803, 540, 4566, 543, 12400, 454, 268, 20126, 4443, 1259, 547, 946, 3029, 454, 268, 29740, 2987, 2792, 543, 5698, 454, 268, 22217, 1881, 2053, 18694, 2359, 454, 268, 769, 4621, 11962, 5985, 813, 2773, 1282, 14202, 532, 454, 268, 5384, 9219, 4183, 2115, 6454, 454, 268, 661, 848, 540, 14764, 454, 268, 5741, 543, 3593, 7245, 454, 268, 13786, 633, 1489, 454, 268, 2368, 2152, 950, 10024, 3108, 538, 519, 3232, 5359, 9074, 454, 268, 20305, 6999, 585, 12445, 31930, 454, 268, 11822, 547, 946, 454, 268, 6153, 21370, 10525, 454, 268, 16763, 9477, 454, 268, 20305, 7287, 4757, 5610, 585, 5012, 4464, 532, 454, 268, 17290, 29356, 454, 268, 11822, 1491, 4752, 543, 543, 3318, 23302, 10530, 454, 268, 12005, 13613, 538, 6054, 454, 268, 21091, 8051, 454, 268, 717, 656, 339, 12125, 2115, 19349, 454, 268, 16952, 5610, 609, 824, 8924, 543, 2533, 454, 17746, 2315, 5004, 12229, 454, 19061, 2359, 3301, 267, 2816, 2359, 3301, 563, 268, 14871, 7888, 8818, 543, 12445, 454, 268, 14168, 3562, 24737, 527, 11706, 543, 717, 656, 339, 12125, 454, 268, 27973, 3562, 14025, 543, 2688, 14184, 8430, 17074, 454, 268, 21664, 2645, 585, 6887, 543, 5007, 4891, 609, 1569, 1852, 454, 268, 667, 2570, 4293, 267, 2565, 2619, 267, 15977, 267, 543, 10081, 1606, 3832, 7191, 16369, 454, 268, 5680, 543, 5985, 1569, 454, 268, 4201, 11703, 711, 5874, 998, 1257, 543, 4757, 540, 2242, 543, 3356, 454, 268, 20308, 16046, 540, 8430, 547, 824, 2694, 540, 519, 1788, 454, 268, 29740, 2987, 20261, 267, 3561, 2359, 267, 543, 3758, 4687, 454, 268, 7383, 270, 1410, 1636, 2645, 585, 16131, 689, 270, 1729, 824, 3301, 454, 8722, 2137, 585, 9540, 24371, 454, 268, 2353, 2987, 14633, 3070, 2433, 14716, 20319, 3301, 602, 16900, 26779, 609, 824, 2645, 899, 21501, 267, 844, 7627, 267, 1942, 9477, 267, 543, 8051, 786, 2333, 519, 4398, 540, 519, 3755, 585, 2348, 782, 1239, 538, 513, 2582, 267, 4448, 3760, 563, 268, 661, 848, 540, 946, 2433, 9540, 1870, 5411, 616, 2356, 3946, 6823, 5411, 543, 991, 547, 6108, 811, 942, 593, 21935, 982, 693, 741, 964, 802, 3843, 547, 4137, 856, 875, 547, 1118, 513, 8430, 563, 8722, 2137, 585, 631, 1749, 1125, 24371, 454, 268, 21091, 1788, 2359, 2433, 631, 1749, 1125, 4213, 1131, 4324, 689, 2348, 513, 2347, 1788, 2359, 12588, 3079, 540, 513, 20319, 4183, 1152, 269, 5741, 2359, 786, 1331, 4305, 543, 4199, 2359, 267, 2789, 960, 5784, 267, 543, 960, 2987, 3491, 28698, 5359, 563, 268, 11038, 2645, 2433, 14992, 666, 20928, 3157, 1898, 585, 741, 2208, 952, 741, 8430, 543, 4566, 666, 3533, 3095, 547, 536, 1749, 267, 23348, 267, 1045, 7860, 267, 543, 11033, 267, 1510, 3755, 2348, 547, 960, 593, 1776, 813, 563, 8722, 2137, 585, 27617, 24371, 454, 268, 21091, 1788, 543, 2361, 2359, 2433, 14066, 4070, 3549, 991, 547, 19597, 622, 3157, 543, 2645, 865, 741, 16131, 960, 16900, 609, 5604, 1949, 899, 1788, 14769, 2359, 607, 1134, 607, 593, 21935, 2645, 899, 3106, 24920, 1210, 5985, 8924, 563, 268, 16949, 2433, 2060, 811, 3309, 3785, 267, 13055, 10909, 949, 991, 547, 960, 609, 4891, 543, 7218, 602, 723, 741, 1378, 1949, 269, 4256, 4070, 20319, 1907, 1058, 581, 2111, 547, 3398, 1114, 8430, 610, 1544, 3758, 12043, 543, 3362, 6460, 873, 547, 26729, 1788, 6054, 563, 8722, 25733, 16890, 281, 5741, 5004, 12229, 454, 18439, 2859, 15080, 454, 12749, 1788, 2359, 3301, 563, 6701, 596, 4058, 547, 6338, 513, 1788, 2359, 3301, 3070, 547, 707, 9441, 286, 1677, 948, 596, 1118, 519, 1318, 3903, 267, 649, 4076, 10356, 519, 1655, 1788, 2359, 1357, 3156, 563, 12749, 14716, 6751, 29393, 454, 17746, 2315, 1788, 2359, 630, 9573, 300, 264, 568, 513, 1808, 6751, 9015, 585, 4070, 1788, 2010, 602, 1331, 6694, 267, 10821, 267, 5010, 267, 12250, 267, 5230, 3540, 267, 3092, 563, 7476, 519, 5131, 5240, 12072, 2336, 29771, 547, 5741, 5004, 6184, 3187, 585, 1655, 2853, 267, 8039, 543, 2200, 563, 13425, 856, 938, 5399, 540, 476, 2568, 266, 10681, 2835, 454, 22772, 811, 4930, 0, 10521, 2474, 602, 1419, 2014, 10539, 538, 1483, 10040, 616, 968, 27393, 1399, 813, 26150, 892, 543, 968, 21466, 1871, 1848, 2755, 789, 616, 1644, 267, 789, 4196, 3982, 5301, 543, 616, 1031, 538, 1114, 8658, 269, 1284, 786, 1629, 22438, 1518, 519, 3604, 1063, 3959, 813, 26150, 543, 2344, 1871, 267, 4543, 596, 2744, 513, 20501, 1620, 540, 891, 2629, 2035, 538, 519, 1483, 10040, 2872, 563, 288, 3959, 813, 26150, 568, 513, 3318, 4879, 540, 513, 3959, 779, 4502, 5342, 676, 513, 13931, 813, 571, 16014, 269, 901, 1184, 3335, 3322, 513, 9488, 14791, 540, 519, 3959, 267, 606, 2079, 540, 922, 2783, 267, 543, 513, 6476, 609, 2147, 3601, 538, 519, 1858, 269, 634, 3119, 3483, 540, 513, 3959, 813, 26150, 568, 547, 3313, 519, 3959, 779, 4023, 2344, 1871, 267, 799, 568, 1898, 585, 1585, 5301, 267, 1519, 912, 268, 18200, 16372, 700, 2056, 281, 1879, 596, 4019, 585, 513, 20251, 547, 4444, 513, 3959, 267, 519, 561, 2658, 786, 2154, 606, 813, 26150, 547, 2327, 602, 519, 3959, 779, 1871, 13292, 519, 10211, 2179, 563, 268, 24529, 12020, 281, 2561, 20333, 1023, 616, 1419, 2556, 585, 10040, 4058, 267, 971, 607, 8159, 519, 1871, 540, 7221, 585, 18472, 5301, 563, 268, 12525, 10495, 281, 10871, 6608, 946, 3959, 813, 20333, 1023, 547, 5173, 3959, 9204, 8308, 563, 268, 15928, 281, 15928, 3549, 949, 2154, 813, 20333, 1023, 547, 1305, 3795, 5666, 585, 21427, 685, 6142, 563, 268, 13751, 25198, 281, 2561, 20333, 1023, 1404, 513, 2629, 1909, 538, 1585, 3656, 3871, 267, 971, 607, 16028, 17260, 543, 3959, 13882, 563, 2005, 779, 1271, 547, 4063, 602, 3959, 813, 20333, 1023, 616, 5342, 676, 28102, 4648, 945, 1246, 7453, 4808, 543, 946, 13387, 2409, 547, 3313, 519, 3959, 779, 1871, 563, 15812, 564, 1871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3901, 328, 28334, 5956, 609, 513, 6609, 540, 519, 2621, 2404, 609, 519, 26704, 15743, 269, 1401, 1356, 14186, 689, 737, 889, 4202, 267, 8964, 267, 17691, 267, 22678, 640, 267, 605, 18690, 543, 2161, 902, 267, 538, 1455, 609, 519, 1561, 6665, 725, 540, 586, 344, 571, 340, 543, 521, 14505, 839, 267, 666, 581, 9571, 538, 10120, 543, 2663, 5931, 540, 1352, 345, 1877, 630, 866, 628, 1107, 519, 4098, 540, 519, 476, 736, 628, 5553, 1040, 3509, 540, 873, 711, 1152, 9676, 519, 6986, 1686, 267, 519, 5832, 543, 519, 7936, 540, 5481, 540, 519, 28334, 267, 855, 789, 6659, 519, 22521, 2042, 540, 519, 942, 693, 519, 3617, 5339, 543, 7499, 1377, 267, 789, 16668, 519, 3007, 540, 3401, 543, 782, 14077, 269, 769, 1249, 267, 519, 1352, 345, 1877, 10630, 782, 1346, 1857, 543, 1514, 2042, 602, 30223, 519, 2197, 781, 2551, 543, 729, 10630, 538, 519, 2278, 781, 562, 15635, 1575, 894, 6965, 563, 13295, 267, 519, 562, 15635, 1575, 894, 3332, 729, 519, 1101, 6857, 2278, 781, 1106, 540, 7499, 6041, 540, 4641, 538, 519, 11913, 1148, 269, 4173, 4332, 568, 2404, 609, 2038, 4074, 543, 4948, 267, 30018, 9161, 18428, 269, 769, 519, 1686, 540, 519, 1158, 540, 562, 15635, 1575, 894, 3332, 741, 1378, 2489, 3466, 723, 2919, 267, 1813, 547, 519, 1455, 1514, 2175, 269, 4256, 6617, 568, 3177, 676, 519, 9029, 540, 519, 4589, 5631, 547, 19621, 4633, 282, 676, 16134, 540, 24233, 1797, 267, 2966, 585, 8897, 540, 8226, 267, 8357, 1436, 543, 973, 2787, 676, 2295, 282, 19788, 519, 3007, 540, 519, 5304, 10083, 543, 711, 22573, 10083, 540, 519, 1543, 282, 967, 529, 1584, 762, 6392, 540, 513, 5856, 269, 634, 6228, 540, 562, 15635, 1575, 894, 3332, 1281, 711, 4096, 593, 519, 4527, 540, 2854, 3332, 267, 621, 568, 2404, 609, 519, 4527, 540, 922, 5304, 609, 922, 5289, 2115, 282, 519, 2188, 540, 519, 2078, 540, 2278, 781, 562, 15635, 1575, 894, 6965, 609, 18691, 543, 2854, 3332, 267, 610, 267, 598, 14287, 267, 519, 7355, 585, 741, 7115, 616, 5097, 1336, 538, 519, 2278, 781, 2470, 267, 3615, 540, 519, 3239, 267, 519, 2039, 540, 2042, 6659, 267, 519, 9135, 1062, 269, 769, 1978, 3140, 2175, 267, 3318, 562, 15635, 1575, 894, 3332, 7930, 12388, 525, 609, 824, 2010, 540, 11913, 1148, 267, 855, 849, 1282, 922, 2407, 8647, 814, 513, 2318, 1764, 593, 519, 1646, 540, 18691, 543, 2854, 3332, 269, 634, 3638, 5389, 540, 519, 8647, 540, 519, 2278, 781, 5711, 6965, 941, 4646, 689, 519, 12395, 545, 543, 24272, 22057, 9082, 267, 945, 5795, 547, 519, 1158, 27308, 540, 922, 2189, 20375, 269, 769, 645, 1662, 330, 597, 3332, 519, 562, 15635, 1575, 894, 1106, 540, 922, 6228, 12523, 585, 5553, 267, 609, 1134, 8153, 4408, 540, 4589, 543, 20375, 538, 1899, 609, 519, 1655, 1158, 5389, 269, 645, 1662, 330, 597, 2278, 781, 562, 15635, 1575, 894, 6965, 267, 2854, 3332, 267, 18691, 267, 20102, 23429, 1142, 824, 267, 11478, 8195, 585, 1896, 5553, 563, 268, 2279, 534, 6470, 5271, 267, 966, 269, 918, 269, 630, 2735, 274, 1040, 9085, 540, 9147, 667, 341, 675, 577, 807, 269, 634, 1686, 540, 1158, 3332, 269, 769, 8370, 12531, 269, 5292, 269, 476, 272, 269, 18293, 281, 3163, 563, 268, 620, 11860, 1662, 326, 926, 267, 631, 269, 630, 1220, 276, 1040, 6555, 534, 700, 1872, 520, 693, 6874, 24642, 269, 22564, 267, 4367, 543, 8292, 676, 2098, 11607, 288, 8160, 269, 589, 22222, 13960, 269, 1325, 3901, 344, 281, 29325, 651, 4964, 563, 268, 589, 22222, 990, 267, 631, 269, 744, 269, 630, 4198, 280, 1040, 32438, 540, 1114, 1296, 269, 1325, 2742, 5025, 3279, 281, 20673, 269, 1533, 1196, 269, 6094, 1396, 563, 268, 645, 2727, 990, 267, 681, 269, 715, 269, 630, 1960, 280, 1040, 31970, 3332, 281, 10049, 593, 519, 1686, 540, 4095, 267, 22504, 267, 12428, 3332, 689, 3504, 2053, 547, 519, 476, 1240, 628, 2540, 269, 772, 17304, 281, 3798, 269, 645, 24746, 563, 268, 645, 1794, 534, 990, 267, 966, 269, 717, 269, 630, 3192, 274, 1040, 3245, 18691, 547, 519, 12563, 1433, 269, 700, 2287, 2784, 281, 21972, 1396, 1790, 320, 563, 268, 5617, 31582, 267, 966, 269, 717, 269, 630, 1960, 275, 1040, 5617, 31582, 966, 14371, 269, 9509, 5888, 540, 12591, 269, 570, 269, 966, 281, 15080, 543, 17352, 476, 7277, 272, 1700, 7277, 275, 269, 18293, 281, 3798, 269, 9142, 540, 7070, 540, 519, 28268, 563, 268, 667, 879, 10798, 5271, 267, 623, 269, 630, 4198, 280, 1040, 10749, 593, 519, 1686, 540, 840, 3146, 23728, 776, 10127, 752, 531, 335, 752, 3332, 269, 570, 1662, 330, 550, 281, 3798, 269, 4888, 772, 345, 269, 9399, 305, 563, 268, 717, 611, 30795, 773, 341, 267, 589, 269, 589, 269, 630, 3192, 279, 1040, 30527, 538, 519, 3332, 540, 519, 8168, 5101, 269, 25234, 340, 281, 4432, 332, 563, 268, 16740, 601, 321, 2801, 341, 267, 631, 269, 10609, 269, 630, 1001, 274, 1040, 8191, 781, 10076, 17826, 538, 519, 3590, 540, 11470, 281, 9122, 593, 519, 645, 1662, 330, 597, 9085, 269, 15223, 16808, 30638, 523, 267, 1546, 28852, 1633, 563, 268, 16740, 601, 321, 2801, 341, 267, 631, 269, 10609, 269, 630, 1001, 275, 1040, 1323, 9147, 12395, 545, 31790, 968, 763, 3883, 540, 3733, 9835, 15289, 918, 1251, 583, 543, 645, 1662, 330, 597, 9085, 6100, 7073, 2042, 540, 2257, 543, 2069, 267, 476, 277, 563, 268, 1772, 21166, 990, 267, 661, 269, 630, 4198, 278, 1040, 589, 5652, 985, 269, 1325, 2742, 5025, 3279, 267, 20673, 326, 657, 714, 323, 520, 563, 268, 23715, 690, 5979, 267, 670, 269, 717, 269, 630, 2735, 279, 1040, 634, 1686, 540, 1158, 3332, 269, 769, 8370, 12531, 269, 2019, 269, 476, 276, 269, 18293, 281, 715, 879, 6390, 563, 268, 26689, 1067, 267, 590, 269, 715, 269, 630, 1960, 272, 1040, 634, 1650, 5956, 538, 5681, 518, 269, 18293, 281, 715, 879, 6390, 563, 268, 700, 1047, 341, 747, 267, 594, 269, 590, 269, 630, 3422, 280, 1040, 9147, 4457, 6965, 543, 12563, 5152, 269, 18293, 281, 715, 879, 6390, 563, 268, 7395, 879, 514, 267, 631, 269, 631, 269, 630, 3192, 279, 1040, 17826, 540, 519, 27782, 2848, 653, 525, 269, 7313, 1115, 540, 27782, 16330, 269, 18293, 281, 15083, 3149, 269, 5856, 563, 268, 5689, 990, 267, 590, 269, 661, 269, 630, 4198, 272, 1040, 3933, 3701, 540, 3504, 12395, 545, 1603, 269, 18293, 6441, 2287, 2784, 281, 594, 345, 323, 269, 4888, 590, 7704, 305, 563, 268, 631, 3711, 564, 990, 267, 918, 269, 630, 3192, 277, 1040, 18467, 540, 5250, 540, 3504, 10127, 752, 531, 335, 752, 3332, 269, 715, 4157, 639, 281, 10127, 752, 531, 335, 752, 16330, 563, 268, 631, 1551, 267, 715, 269, 962, 269, 630, 4350, 275, 1040, 14288, 1014, 590, 12171, 269, 6196, 29118, 543, 2042, 540, 2686, 6561, 269, 5395, 613, 344, 12658, 528, 990, 747, 6196, 29118, 281, 2201, 519, 535, 3424, 328, 996, 16683, 540, 3621, 543, 1514, 2238, 269, 476, 6642, 272, 1700, 4350, 272, 281, 14635, 540, 4930, 269, 700, 2287, 2784, 281, 594, 345, 323, 269, 4888, 590, 7704, 305, 563, 268, 12653, 345, 698, 592, 13960, 267, 2098, 269, 717, 269, 630, 1001, 275, 1040, 26492, 540, 5711, 3332, 538, 12395, 545, 2854, 20375, 540, 25196, 543, 519, 5664, 12698, 269, 769, 2920, 783, 2042, 540, 519, 645, 1662, 330, 597, 267, 12395, 545, 543, 18373, 334, 6363, 4883, 880, 15599, 1108, 543, 2528, 269, 10049, 2353, 7304, 11701, 630, 5976, 3486, 7589, 264, 3621, 1790, 24411, 10554, 630, 28147, 533, 1040, 772, 17304, 281, 681, 2975, 645, 1662, 294, 308, 630, 514, 645, 1662, 330, 597, 1916, 268, 7101, 21754, 267, 966, 269, 966, 269, 630, 5002, 276, 1040, 15232, 540, 519, 8675, 540, 12395, 545, 740, 18690, 269, 5292, 269, 476, 274, 269, 9501, 321, 563, 268, 32371, 527, 990, 267, 594, 269, 570, 269, 630, 3422, 274, 1040, 15552, 545, 12473, 540, 519, 10127, 752, 531, 335, 752, 1004, 269, 715, 4157, 639, 281, 10127, 752, 531, 335, 752, 16330, 563, 268, 3911, 597, 2617, 320, 267, 715, 269, 590, 269, 630, 3192, 273, 1040, 9537, 540, 1561, 6665, 619, 538, 27782, 6965, 269, 769, 10819, 540, 17779, 538, 519, 3332, 540, 519, 8168, 5101, 269, 18619, 540, 519, 5870, 476, 1626, 1700, 866, 5239, 476, 3192, 273, 269, 25234, 340, 281, 4432, 332, 563, 268, 6008, 4565, 514, 11860, 600, 839, 5652, 267, 631, 269, 594, 269, 630, 2735, 275, 1040, 634, 1158, 540, 519, 521, 15676, 269, 634, 5250, 540, 3332, 269, 700, 2287, 2784, 281, 715, 879, 6390, 563, 268, 634, 1433, 540, 1250, 22516, 918, 1251, 583, 281, 744, 7666, 345, 24123, 552, 1842, 630, 3422, 273, 1040, 18293, 6441, 2287, 2784, 281, 594, 345, 323, 269, 4888, 590, 7704, 563, 268, 634, 2063, 540, 519, 590, 691, 2801, 341, 1849, 534, 630, 2735, 278, 1040, 645, 1662, 330, 597, 12563, 1148, 281, 6181, 1742, 543, 17691, 269, 772, 17304, 281, 645, 1662, 330, 269, 5679, 269, 476, 714, 323, 563, 268, 26751, 601, 990, 20391, 267, 589, 269, 715, 269, 630, 2735, 280, 320, 1040, 8466, 7313, 7497, 269, 18293, 281, 966, 903, 3333, 11535, 695, 330, 7637, 563, 268, 26751, 601, 990, 20391, 267, 589, 269, 715, 269, 630, 2735, 280, 321, 1040, 8466, 7313, 7497, 269, 18293, 281, 966, 903, 3333, 11535, 695, 330, 7637, 563, 268, 25463, 321, 2801, 341, 267, 594, 269, 918, 269, 630, 1001, 274, 1040, 14506, 540, 519, 24500, 540, 968, 298, 531, 10042, 543, 17435, 3534, 892, 538, 519, 12261, 2984, 540, 918, 4725, 30519, 1794, 541, 7780, 10440, 269, 31970, 1143, 538, 6576, 281, 1686, 267, 29678, 543, 16548, 269, 769, 10049, 540, 519, 2353, 7304, 11701, 3621, 1790, 24411, 10554, 609, 3486, 7589, 269, 772, 17304, 281, 681, 2975, 645, 1662, 294, 308, 630, 514, 645, 1662, 330, 269, 18999, 28593, 268, 2098, 2967, 659, 345, 330, 22603, 267, 589, 269, 630, 4198, 279, 1040, 10878, 626, 1513, 5633, 530, 619, 807, 512, 675, 1188, 320, 26036, 571, 340, 579, 11184, 514, 1627, 583, 9346, 630, 313, 599, 517, 577, 28325, 20391, 589, 269, 634, 9510, 12395, 545, 4528, 540, 968, 298, 327, 657, 709, 543, 1744, 597, 514, 892, 918, 583, 9346, 264, 744, 8240, 322, 476, 272, 269, 1855, 330, 560, 269, 12668, 345, 11867, 630, 514, 14470, 282, 5931, 910, 538, 31423, 269, 570, 14660, 802, 1916, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 563, 10666, 713, 2376, 454, 2764, 5412, 476, 1001, 280, 454, 19530, 9768, 630, 28436, 994, 306, 1539, 565, 3907, 2524, 267, 23316, 267, 5033, 24939, 267, 11407, 2079, 267, 2257, 267, 2029, 267, 2486, 454, 29241, 713, 2376, 607, 912, 296, 534, 321, 2801, 341, 267, 594, 1421, 918, 14367, 600, 13960, 267, 667, 1421, 12653, 345, 698, 592, 13960, 267, 2098, 1421, 19869, 1638, 2088, 267, 717, 1421, 1299, 16740, 601, 321, 2801, 341, 24682, 631, 269, 630, 1001, 280, 1040, 7186, 1656, 12474, 2986, 8191, 715, 15635, 1575, 894, 17826, 769, 3590, 2986, 4139, 269, 769, 667, 269, 10127, 574, 4149, 23546, 990, 747, 645, 1092, 5271, 267, 590, 269, 22707, 773, 341, 747, 29361, 1755, 341, 267, 589, 269, 13928, 773, 341, 747, 14642, 2742, 5271, 267, 966, 269, 10609, 636, 4660, 990, 747, 13019, 2801, 341, 267, 700, 269, 4053, 2801, 341, 3534, 16740, 580, 13960, 267, 631, 269, 681, 4157, 2006, 990, 747, 29191, 17495, 990, 267, 589, 269, 15570, 17427, 990, 747, 6428, 326, 21961, 341, 267, 1299, 631, 269, 4053, 4594, 990, 3534, 5975, 559, 1067, 345, 2801, 9366, 630, 32295, 13776, 4317, 543, 8836, 17992, 725, 538, 519, 12745, 540, 7073, 6820, 1143, 267, 2019, 476, 10602, 269, 3864, 18619, 540, 4317, 543, 29007, 531, 7070, 630, 653, 269, 476, 14695, 278, 268, 14096, 280, 1040, 8892, 9142, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15150, 4962, 270, 10134, 2125, 269, 1001, 280, 269, 1321, 269, 6860, 269, 14378, 0, 305, 1470, 5651, 320, 2817, 13812, 25083, 543, 11094, 9351, 267, 3964, 538, 476, 1001, 273, 267, 568, 4092, 538, 519, 5912, 7997, 1063, 519, 4279, 26111, 543, 519, 8828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 342, 3994, 318, 29674, 8217, 815, 29129, 258, 1592, 547, 1832, 3950, 540, 2953, 7058, 525, 454, 322, 8091, 318, 29674, 8217, 815, 29129, 718, 318, 29674, 525, 815, 4636, 318, 29674, 8217, 1341, 2953, 318, 29674, 8217, 692, 258, 1832, 3950, 540, 519, 1560, 2694, 3097, 258, 1560, 318, 30672, 815, 18358, 3650, 3299, 1412, 7853, 3299, 1412, 3847, 318, 1301, 3299, 1412, 2431, 318, 1301, 3299, 1412, 3847, 318, 5586, 3299, 1412, 2431, 318, 5586, 11172, 3097, 258, 2212, 815, 834, 334, 4840, 258, 1560, 815, 834, 3890, 4840, 258, 2451, 318, 1301, 815, 834, 285, 268, 4840, 258, 1318, 318, 1301, 815, 29038, 283, 4840, 258, 2451, 318, 5586, 815, 834, 318, 347, 4840, 258, 1318, 318, 5586, 815, 834, 347, 318, 5016, 258, 567, 522, 454, 258, 3436, 268, 3890, 268, 283, 28768, 258, 476, 9041, 347, 1923, 318, 692, 258, 4147, 11083, 307, 6020, 289, 7473, 2464, 5288, 2382, 766, 11083, 307, 6020, 289, 7473, 2464, 454, 258, 11083, 307, 6020, 289, 7473, 2464, 616, 4632, 602, 616, 1350, 4240, 547, 606, 2382, 766, 692, 258, 476, 1948, 4259, 909, 5049, 865, 3014, 568, 3362, 6956, 543, 12012, 454, 258, 1362, 10794, 24998, 2187, 258, 476, 453, 18851, 8181, 28179, 543, 7475, 519, 3014, 12163, 258, 476, 453, 10139, 454, 258, 476, 453, 258, 11083, 307, 6020, 289, 7473, 2464, 454, 258, 476, 453, 258, 3014, 6238, 454, 258, 476, 453, 258, 3014, 7475, 7531, 258, 1362, 2494, 24998, 2187, 258, 476, 453, 18851, 277, 13793, 2006, 2694, 267, 5932, 812, 1759, 593, 11234, 7058, 525, 5727, 3097, 258, 476, 453, 258, 952, 7058, 318, 12072, 711, 538, 2262, 912, 258, 476, 453, 258, 812, 19380, 16289, 720, 865, 1505, 1223, 581, 454, 258, 476, 453, 258, 1780, 454, 258, 476, 453, 7853, 318, 30672, 815, 1496, 3650, 267, 1560, 267, 2451, 318, 1301, 267, 1318, 318, 1301, 267, 2451, 318, 5586, 267, 1318, 318, 5586, 6540, 454, 258, 1362, 2262, 24998, 2187, 258, 476, 453, 18851, 12690, 2262, 6074, 676, 3095, 1318, 1631, 12163, 258, 476, 453, 10139, 454, 258, 1948, 654, 5495, 17162, 5990, 654, 16704, 14160, 19798, 10790, 312, 23813, 22743, 12717, 5990, 30316, 8577, 14160, 19798, 5442, 8668, 3097, 258, 1948, 6789, 8668, 24202, 667, 7968, 21715, 7728, 10396, 8668, 888, 258, 476, 453, 258, 2780, 12958, 454, 258, 1948, 1948, 1297, 540, 5022, 454, 258, 1948, 1948, 952, 621, 781, 1044, 6383, 1354, 286, 910, 713, 1058, 581, 538, 4255, 454, 258, 9293, 538, 519, 723, 1044, 998, 1592, 888, 258, 1948, 1948, 9864, 2262, 910, 1281, 713, 4866, 538, 7058, 286, 2496, 454, 258, 1362, 7058, 24998, 2187, 258, 476, 453, 18851, 12528, 3403, 12163, 258, 476, 453, 10139, 454, 453, 258, 11083, 307, 6020, 289, 7473, 2464, 454, 258, 6151, 3403, 454, 258, 7058, 318, 12072, 454, 258, 7058, 28747, 630, 604, 7058, 28747, 3436, 7003, 27182, 264, 5442, 309, 3201, 2839, 994, 258, 3193, 318, 29674, 525, 454, 258, 1297, 540, 7164, 5022, 454, 258, 1297, 540, 7058, 525, 6967, 454, 258, 1297, 540, 2953, 7058, 525, 454, 258, 1297, 540, 11234, 7058, 525, 454, 258, 476, 1297, 540, 7058, 525, 547, 8737, 2262, 7531, 258, 1362, 10794, 24998, 2187, 258, 476, 453, 18851, 18524, 1362, 12163, 258, 476, 453, 11034, 29228, 454, 258, 476, 453, 754, 29228, 19638, 258, 1219, 3014, 318, 1478, 26028, 3994, 318, 29674, 525, 2187, 258, 476, 453, 18851, 10818, 547, 3970, 3593, 547, 3193, 1297, 540, 7058, 525, 18851, 22322, 28768, 258, 476, 14851, 476, 453, 342, 3994, 318, 29674, 525, 2652, 3193, 16062, 3994, 318, 29674, 525, 912, 258, 476, 453, 13537, 5727, 2791, 4312, 2196, 856, 540, 7058, 525, 256, 3097, 258, 476, 453, 453, 763, 2262, 729, 4939, 338, 27969, 4939, 630, 5320, 2020, 258, 1219, 3014, 318, 1478, 263, 550, 790, 29999, 318, 29674, 539, 2187, 4848, 454, 258, 595, 7838, 305, 7728, 645, 308, 294, 267, 17692, 9358, 30316, 8577, 20231, 5990, 700, 4953, 307, 8991, 28960, 4353, 2839, 308, 3201, 14877, 267, 9358, 667, 2177, 31415, 654, 2562, 2336, 258, 17692, 700, 4953, 307, 8991, 5442, 30316, 8577, 700, 8780, 815, 654, 16704, 8946, 2894, 654, 2562, 8627, 2439, 692, 258, 1219, 3970, 318, 29674, 318, 10420, 3030, 263, 12528, 318, 29674, 2187, 258, 476, 14851, 3593, 318, 29674, 11203, 5580, 610, 2539, 2013, 4484, 454, 258, 476, 14851, 3593, 318, 29674, 3436, 7003, 27182, 994, 258, 476, 14851, 3593, 318, 29674, 815, 834, 834, 7531, 258, 1219, 2307, 318, 3593, 15461, 318, 2452, 318, 28785, 263, 29674, 29999, 2187, 258, 476, 453, 2452, 318, 28785, 815, 6151, 17750, 2891, 25898, 596, 899, 547, 1404, 1586, 286, 586, 610, 562, 286, 1422, 333, 5602, 258, 476, 14851, 1404, 318, 28785, 2652, 834, 344, 13426, 258, 476, 453, 453, 11034, 3014, 3014, 318, 1478, 454, 258, 476, 14851, 1404, 318, 28785, 2652, 834, 333, 13426, 258, 476, 453, 13537, 834, 12552, 256, 1635, 324, 30882, 258, 476, 14851, 1404, 318, 28785, 11203, 834, 344, 257, 610, 834, 7224, 13426, 258, 476, 453, 13537, 834, 921, 848, 4431, 609, 586, 610, 562, 5016, 692, 258, 1219, 1397, 6831, 8091, 318, 29674, 525, 27182, 267, 7058, 8217, 2187, 258, 476, 453, 18851, 10818, 547, 1397, 1699, 7058, 4484, 952, 621, 568, 538, 519, 2262, 20701, 258, 476, 453, 14783, 29999, 815, 834, 5016, 258, 952, 2262, 5157, 316, 2652, 6221, 538, 7058, 1592, 267, 16289, 602, 6221, 547, 751, 327, 9864, 2262, 5569, 630, 528, 1547, 21860, 2020, 258, 476, 14851, 9864, 29999, 11203, 834, 9899, 3097, 258, 567, 453, 14783, 29999, 815, 9864, 29999, 454, 28768, 258, 476, 22610, 1775, 538, 2039, 12759, 27182, 4297, 1384, 258, 476, 453, 22610, 6221, 538, 7058, 8217, 1384, 258, 476, 4848, 14851, 6221, 2652, 2262, 5157, 14158, 258, 476, 15235, 453, 14783, 29999, 815, 9864, 29999, 1341, 2262, 5157, 2639, 20930, 454, 258, 476, 453, 453, 258, 8640, 9864, 29999, 2907, 814, 5022, 267, 1810, 1405, 5372, 873, 609, 19156, 454, 258, 476, 453, 453, 258, 7654, 946, 1547, 21860, 454, 258, 476, 453, 453, 258, 952, 7058, 318, 12072, 543, 5924, 1022, 5022, 538, 519, 7058, 8217, 2652, 519, 2262, 267, 1820, 9864, 2262, 454, 4848, 454, 258, 476, 4848, 28432, 912, 258, 476, 15235, 453, 14783, 29999, 815, 9864, 29999, 1341, 834, 318, 4840, 258, 476, 15235, 453, 258, 1820, 9864, 29999, 692, 258, 476, 16596, 9864, 29999, 692, 258, 1397, 6831, 8091, 318, 29674, 525, 27182, 267, 7058, 8217, 2020, 258, 681, 20846, 715, 8582, 24199, 10396, 14877, 20796, 16775, 23166, 590, 5058, 4041, 8863, 2752, 16898, 8991, 454, 258, 6730, 4959, 595, 17955, 590, 2894, 10485, 20937, 692, 258, 1219, 6166, 318, 24393, 27182, 2187, 258, 476, 453, 18851, 10818, 547, 6166, 3403, 568, 5022, 267, 602, 519, 3403, 3085, 781, 3097, 258, 476, 453, 1410, 3865, 519, 1347, 538, 519, 2262, 543, 2636, 585, 2901, 2013, 20701, 258, 476, 453, 258, 6148, 513, 2119, 543, 4849, 1934, 692, 258, 3403, 23919, 815, 6151, 17750, 2891, 8923, 1683, 930, 9623, 281, 19515, 258, 952, 711, 556, 6230, 2255, 2891, 317, 314, 320, 22271, 30297, 259, 2580, 3403, 23919, 2187, 258, 672, 1820, 834, 13286, 256, 8307, 5022, 513, 22271, 4847, 30882, 258, 672, 19523, 20216, 527, 10797, 258, 8640, 7003, 9272, 23919, 264, 3436, 7003, 27182, 2187, 258, 672, 1820, 834, 13286, 256, 8307, 7003, 27182, 264, 3197, 4847, 30882, 258, 672, 19523, 20216, 527, 10797, 258, 1219, 1297, 15058, 318, 24393, 18425, 29999, 27182, 2187, 258, 476, 453, 18851, 1599, 547, 3313, 1297, 540, 5022, 538, 2262, 29185, 258, 952, 7058, 2652, 7058, 538, 7058, 8217, 454, 258, 2995, 3593, 602, 814, 2907, 1044, 31665, 543, 7058, 1586, 630, 3724, 547, 3403, 994, 0, 5228, 1623, 6853, 1104, 6698, 267, 13678, 680, 1518, 1477, 258, 5228, 1599, 318, 5035, 1104, 568, 20311, 267, 529, 318, 10420, 5897, 3698, 568, 20311, 3799, 8029, 825, 2119, 6769, 1038, 10581, 3799, 264, 567, 1948, 7392, 2275, 8463, 519, 5569, 547, 2387, 15615, 18269, 1477, 4449, 567, 1948, 1403, 5569, 568, 711, 513, 4570, 2387, 15615, 12452, 21506, 4449, 567, 1948, 621, 3513, 6318, 2387, 19368, 13286, 319, 9868, 1477, 825, 4849, 6769, 1038, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 568, 318, 10420, 3799, 8029, 825, 2119, 6769, 1038, 562, 18994, 10401, 3890, 567, 1948, 7392, 2275, 8463, 519, 5569, 547, 2387, 15615, 18269, 1477, 4449, 567, 1948, 1403, 5569, 568, 711, 513, 4570, 2387, 15615, 12452, 21506, 4449, 567, 1948, 621, 3513, 6318, 2387, 19368, 13286, 319, 9868, 1477, 825, 4849, 6769, 1038, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 1205, 318, 531, 5040, 318, 10339, 1833, 263, 3410, 1400, 27161, 19885, 1712, 318, 16059, 19885, 1712, 12173, 8029, 453, 8001, 318, 10339, 1833, 272, 815, 12363, 27161, 7456, 3855, 314, 271, 4940, 32491, 318, 10339, 1833, 1477, 453, 8001, 318, 10339, 1833, 273, 815, 12363, 27161, 7456, 3855, 314, 272, 4940, 32491, 318, 10339, 1833, 1477, 14851, 476, 7003, 263, 8001, 318, 10339, 1833, 272, 9131, 16447, 262, 8079, 3436, 7003, 263, 8001, 318, 10339, 1833, 273, 9131, 16447, 11172, 8029, 453, 453, 12895, 16062, 5454, 815, 2385, 318, 10339, 1833, 272, 9131, 16447, 11172, 1477, 28432, 6769, 453, 453, 12895, 16062, 5454, 815, 2385, 318, 10339, 1833, 273, 9131, 16447, 11172, 1477, 453, 8001, 318, 10339, 1833, 272, 815, 2385, 318, 10339, 1833, 272, 9131, 11907, 11172, 1477, 453, 8001, 318, 10339, 1833, 273, 815, 2385, 318, 10339, 1833, 273, 9131, 11907, 11172, 1477, 14851, 568, 20311, 263, 8001, 318, 10339, 1833, 272, 264, 543, 568, 20311, 263, 8001, 318, 10339, 1833, 273, 8029, 453, 453, 9690, 318, 10339, 1833, 815, 6843, 318, 16059, 1477, 453, 19197, 6843, 12173, 2652, 1412, 5417, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 14458, 263, 8001, 318, 10339, 1833, 272, 266, 8001, 318, 10339, 1833, 273, 3418, 453, 19197, 6843, 12173, 2652, 1412, 11357, 339, 847, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 14458, 263, 8001, 318, 10339, 1833, 272, 1790, 1861, 318, 10339, 1833, 273, 3418, 453, 19197, 6843, 12173, 2652, 1412, 20123, 17586, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 14458, 263, 8001, 318, 10339, 1833, 272, 265, 8001, 318, 10339, 1833, 273, 3418, 453, 19197, 6843, 12173, 2652, 1412, 15965, 728, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 14458, 263, 8001, 318, 10339, 1833, 272, 265, 8001, 318, 10339, 1833, 273, 3418, 4848, 1477, 16596, 27835, 11907, 9166, 9690, 318, 10339, 1833, 10086, 16447, 9166, 12895, 16062, 5454, 348, 1477, 453, 1477, 3698, 1205, 318, 8421, 673, 318, 10339, 1833, 263, 3410, 1400, 27161, 19885, 1712, 318, 16059, 19885, 1712, 12173, 8029, 453, 8001, 318, 10339, 1833, 272, 815, 12363, 27161, 7456, 3855, 314, 271, 4940, 32491, 318, 10339, 1833, 1477, 453, 8001, 318, 10339, 1833, 273, 815, 12363, 27161, 7456, 3855, 314, 272, 4940, 32491, 318, 10339, 1833, 1477, 14851, 476, 7003, 263, 8001, 318, 10339, 1833, 272, 9131, 16447, 262, 8079, 3436, 7003, 263, 8001, 318, 10339, 1833, 273, 9131, 16447, 11172, 8029, 453, 453, 12895, 16062, 5454, 815, 2385, 318, 10339, 1833, 272, 9131, 16447, 11172, 1477, 28432, 6769, 453, 453, 12895, 16062, 5454, 815, 2385, 318, 10339, 1833, 273, 9131, 16447, 11172, 1477, 453, 8001, 318, 10339, 1833, 272, 815, 2385, 318, 10339, 1833, 272, 9131, 11907, 11172, 1477, 453, 8001, 318, 10339, 1833, 273, 815, 2385, 318, 10339, 1833, 273, 9131, 11907, 11172, 1477, 14851, 630, 3488, 1910, 5404, 344, 6983, 648, 262, 538, 1193, 263, 6943, 263, 8001, 318, 10339, 1833, 272, 4297, 610, 1412, 1910, 5404, 344, 6983, 648, 262, 538, 1193, 263, 6943, 263, 8001, 318, 10339, 1833, 273, 30727, 543, 630, 8001, 318, 10339, 1833, 272, 711, 538, 630, 12148, 267, 16178, 264, 610, 2385, 318, 10339, 1833, 273, 711, 538, 630, 12148, 267, 16178, 4297, 453, 663, 630, 8001, 318, 10339, 1833, 272, 11203, 2385, 318, 10339, 1833, 273, 4297, 543, 6843, 12173, 2652, 1412, 16029, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 6698, 19304, 263, 8001, 318, 10339, 1833, 272, 11924, 262, 2525, 262, 266, 1598, 263, 8001, 318, 10339, 1833, 273, 17903, 453, 19197, 2385, 318, 10339, 1833, 272, 2652, 2385, 318, 10339, 1833, 273, 543, 6843, 12173, 2652, 1412, 16029, 262, 6769, 453, 453, 9690, 318, 10339, 1833, 815, 6936, 1477, 453, 19197, 18011, 1910, 5404, 344, 6983, 648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 4495, 2390, 513, 942, 267, 1282, 519, 21829, 11270, 538, 519, 2136, 2276, 630, 320, 1279, 267, 1279, 942, 3516, 1070, 972, 729, 1945, 1572, 519, 25550, 8136, 269, 901, 7952, 1185, 6266, 540, 7980, 945, 5280, 2149, 519, 1007, 2197, 1572, 3013, 269, 1809, 798, 596, 917, 1018, 781, 2731, 1271, 950, 2348, 513, 2462, 1895, 540, 1004, 899, 519, 25550, 8136, 286, 898, 781, 1818, 2386, 3025, 814, 1426, 267, 9660, 267, 543, 4025, 547, 3207, 256, 2334, 2816, 20705, 547, 2576, 1572, 513, 2372, 541, 3410, 2120, 780, 288, 29170, 3410, 2120, 729, 899, 513, 2706, 25961, 945, 1500, 2386, 782, 519, 7980, 1185, 3388, 789, 2877, 269, 1358, 941, 538, 5279, 540, 17825, 910, 621, 1797, 12180, 1919, 865, 602, 789, 960, 1134, 1927, 269, 2913, 803, 2285, 596, 930, 1806, 540, 875, 789, 1705, 713, 780, 5575, 267, 1577, 781, 2911, 827, 1426, 269, 5994, 3843, 547, 3049, 5215, 540, 17237, 7980, 1169, 1554, 256, 1411, 1131, 991, 589, 700, 5588, 540, 1426, 269, 1924, 267, 519, 29170, 3410, 7539, 5249, 2182, 547, 1265, 11396, 7404, 1141, 789, 1223, 4444, 5613, 267, 5388, 267, 9274, 267, 543, 5779, 269, 6884, 267, 952, 972, 7012, 1405, 2614, 2199, 1426, 267, 789, 1522, 1256, 6494, 9635, 856, 547, 824, 2477, 547, 3142, 1394, 811, 7727, 780, 9202, 267, 1589, 827, 7802, 269, 22307, 4536, 666, 1405, 4339, 1510, 1697, 26977, 543, 10887, 269, 634, 29170, 3410, 7539, 1131, 1931, 2027, 2326, 267, 16926, 2766, 832, 267, 543, 1118, 2386, 1142, 17199, 3893, 741, 1378, 1305, 540, 9660, 269, 1656, 1810, 1405, 7340, 22970, 267, 26797, 267, 543, 25192, 1932, 256, 18227, 3025, 3636, 1282, 5162, 3275, 5921, 4466, 15144, 610, 9663, 25151, 543, 29198, 780, 3086, 267, 4605, 12008, 12417, 269, 2060, 865, 1082, 1004, 267, 596, 666, 1405, 1175, 2322, 873, 9170, 269, 570, 757, 2968, 10151, 5321, 585, 891, 12703, 2367, 543, 2021, 269, 2871, 612, 945, 4956, 18040, 16730, 1346, 512, 757, 4682, 909, 286, 962, 788, 267, 938, 5363, 29170, 3410, 7539, 256, 1358, 849, 4718, 547, 621, 602, 3595, 6229, 729, 2141, 2139, 585, 5986, 543, 5329, 3636, 780, 3383, 267, 4952, 1373, 513, 29170, 3410, 2120, 543, 19551, 20231, 5508, 8946, 2969, 256, 594, 914, 3006, 789, 5433, 899, 789, 941, 4730, 513, 9649, 3014, 540, 17363, 590, 904, 9497, 8245, 517, 3081, 1412, 8340, 12062, 10086, 1412, 7093, 6768, 6980, 10086, 1412, 7476, 4712, 585, 6370, 256, 262, 20257, 1703, 616, 4440, 2053, 950, 789, 2219, 267, 834, 17764, 1100, 256, 9894, 594, 7340, 4376, 8119, 1809, 11214, 267, 789, 7307, 547, 1491, 1416, 540, 12601, 28475, 8025, 5058, 519, 7980, 2838, 780, 4131, 781, 27642, 9358, 616, 513, 2370, 29170, 3410, 2120, 3168, 1310, 707, 9162, 269, 2052, 596, 5531, 782, 519, 28077, 2831, 543, 31119, 630, 20365, 11442, 7980, 264, 883, 835, 1747, 286, 9320, 596, 666, 1711, 15135, 1210, 10788, 3298, 543, 29198, 269, 1548, 827, 4758, 873, 16152, 286, 12344, 1507, 17486, 540, 4829, 610, 11523, 619, 786, 1832, 873, 6126, 2394, 1404, 5503, 568, 936, 269, 3807, 3314, 267, 2921, 1434, 1416, 540, 1866, 2306, 3025, 1745, 2922, 543, 6068, 780, 4517, 602, 781, 875, 519, 25550, 8136, 3576, 1416, 540, 922, 17825, 1282, 519, 21829, 11270, 269, 1635, 2324, 1927, 267, 789, 3710, 513, 2178, 5748, 585, 519, 4332, 540, 513, 6216, 1007, 4182, 1572, 519, 2136, 2276, 269, 27355, 1405, 1686, 4241, 286, 3767, 979, 6619, 543, 581, 707, 1378, 2370, 29170, 3410, 2120, 282, 707, 9162, 24098, 707, 11587, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 713, 3390, 912, 268, 634, 12142, 3627, 779, 700, 5819, 626, 24334, 5600, 1107, 3487, 2290, 676, 15537, 5096, 1749, 517, 772, 292, 454, 268, 9533, 700, 5819, 626, 22627, 281, 1715, 19839, 1873, 1157, 700, 5819, 626, 4260, 7958, 281, 5565, 1715, 30667, 630, 15575, 625, 994, 268, 5261, 13082, 772, 5085, 543, 7731, 454, 268, 808, 2752, 281, 634, 11135, 540, 631, 600, 541, 821, 1188, 454, 268, 808, 2752, 281, 9478, 15966, 571, 1188, 523, 281, 1715, 3840, 779, 654, 15903, 21829, 2782, 1874, 454, 268, 11785, 3751, 281, 4563, 700, 5819, 626, 267, 10579, 267, 3979, 20616, 26064, 454, 268, 1284, 777, 517, 1944, 5590, 25557, 538, 25429, 32108, 609, 3220, 269, 5981, 18588, 27293, 454, 268, 25083, 525, 1310, 519, 1977, 7169, 2877, 2724, 267, 5321, 543, 10343, 454, 268, 645, 648, 26515, 281, 634, 9721, 25943, 12140, 543, 519, 7043, 3778, 540, 1763, 7808, 3427, 532, 538, 519, 3703, 7276, 454, 268, 2859, 4282, 593, 5800, 4223, 3019, 1773, 12120, 538, 853, 269, 15537, 715, 289, 454, 268, 634, 17566, 540, 12590, 454, 268, 3627, 590, 720, 267, 12312, 540, 31409, 28199, 454, 268, 14411, 11595, 11565, 281, 7913, 1684, 832, 7046, 454, 268, 2353, 12085, 9677, 1014, 281, 9677, 1014, 654, 9879, 623, 753, 543, 14272, 24953, 619, 454, 268, 2817, 11565, 585, 4516, 281, 11135, 4498, 13118, 454, 268, 3245, 519, 3828, 527, 1562, 335, 1877, 543, 15332, 454, 21010, 609, 721, 912, 306, 5593, 3627, 779, 700, 5819, 626, 24334, 5600, 1107, 3487, 744, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16676, 1581, 8136, 8298, 2524, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 21829, 11270, 630, 10082, 276, 268, 5197, 271, 264, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 278, 281, 18227, 3776, 4787, 625, 15822, 281, 4139, 28645, 8232, 692, 5970, 596, 2479, 2219, 827, 875, 5863, 621, 568, 547, 2951, 676, 7077, 286, 1284, 666, 8038, 5215, 540, 5195, 2066, 12084, 543, 17407, 538, 1175, 513, 1906, 3108, 256, 1809, 609, 713, 6909, 2029, 2501, 1390, 5539, 269, 5272, 1554, 267, 6634, 540, 1004, 7048, 593, 18229, 3354, 4648, 547, 1832, 873, 2922, 1247, 10760, 269, 769, 713, 3184, 267, 649, 786, 1451, 827, 519, 4031, 543, 6042, 602, 948, 2149, 721, 538, 519, 2011, 780, 5331, 596, 616, 3478, 4712, 585, 513, 1920, 16314, 269, 1411, 4312, 14095, 707, 11435, 267, 1767, 1434, 25742, 547, 707, 2828, 267, 543, 1631, 596, 2811, 693, 519, 19633, 267, 9599, 547, 4604, 707, 8184, 269, 6969, 596, 1205, 593, 519, 7077, 267, 972, 616, 1082, 1919, 8345, 3297, 519, 10207, 547, 2327, 707, 3106, 780, 5575, 267, 707, 561, 10212, 720, 4422, 998, 513, 2027, 31554, 602, 11974, 585, 1022, 5906, 3688, 269, 901, 568, 2147, 547, 950, 596, 3142, 513, 30618, 547, 1153, 543, 621, 2115, 547, 581, 13761, 1354, 596, 4283, 519, 2679, 269, 634, 1085, 22395, 1413, 585, 9604, 267, 14885, 1161, 267, 543, 824, 5739, 3615, 602, 1223, 2322, 15915, 693, 1981, 269, 1403, 4376, 19035, 568, 1336, 267, 8036, 3354, 10986, 786, 8495, 2417, 780, 9202, 267, 596, 3802, 998, 513, 4496, 18785, 602, 2337, 2697, 952, 596, 723, 1022, 17285, 3615, 593, 707, 1560, 269, 11088, 267, 713, 568, 899, 513, 1153, 3354, 2638, 267, 855, 3079, 540, 3168, 585, 8325, 3615, 267, 789, 1616, 547, 1118, 2386, 1100, 835, 6770, 1022, 15963, 610, 31009, 5196, 519, 8484, 780, 3086, 1577, 781, 2911, 827, 519, 12284, 2818, 945, 7500, 519, 14742, 269, 15815, 1824, 543, 8184, 7390, 1218, 1590, 1246, 7453, 4808, 547, 2226, 3106, 1282, 1142, 8184, 269, 1280, 1383, 267, 789, 4309, 2834, 2866, 593, 6595, 5773, 543, 616, 2141, 5423, 585, 6397, 3871, 269, 1358, 849, 5968, 5702, 609, 2011, 6808, 1852, 7740, 1472, 519, 1158, 547, 11282, 1491, 26160, 267, 2244, 902, 267, 543, 11507, 780, 3719, 1018, 4523, 950, 513, 7077, 13733, 1063, 1114, 2477, 286, 2334, 781, 1141, 3486, 18229, 3354, 11650, 2097, 883, 1404, 269, 1452, 3652, 1711, 513, 13387, 1377, 540, 4027, 585, 782, 19426, 267, 7488, 540, 741, 5169, 610, 10278, 269, 18831, 960, 1927, 547, 2671, 1344, 267, 3950, 1761, 6937, 267, 543, 2061, 10363, 2238, 899, 1159, 10212, 1782, 610, 18483, 780, 3080, 1271, 3919, 3743, 585, 891, 3646, 568, 1572, 519, 4139, 6406, 28645, 9257, 630, 32177, 302, 1040, 5853, 539, 538, 476, 3707, 275, 267, 594, 7563, 302, 10953, 4507, 267, 4441, 267, 543, 5227, 2853, 7282, 2011, 12445, 267, 922, 5989, 267, 8184, 14791, 267, 543, 7098, 617, 27689, 269, 898, 849, 1418, 3278, 10319, 2238, 609, 4759, 2829, 543, 2872, 2516, 547, 2087, 18229, 3354, 5001, 780, 4131, 781, 1589, 1394, 547, 938, 1920, 16314, 9183, 269, 14597, 972, 729, 513, 1966, 593, 519, 7077, 267, 899, 4049, 31285, 610, 513, 2564, 6595, 269, 769, 971, 2665, 267, 21804, 1131, 991, 547, 5968, 3533, 543, 7561, 609, 2011, 6808, 27196, 593, 519, 2666, 269, 8729, 547, 594, 7563, 302, 543, 824, 3486, 3906, 267, 789, 946, 513, 1455, 1893, 543, 1305, 540, 10873, 547, 798, 865, 269, 901, 5849, 3025, 781, 3106, 267, 1256, 950, 5185, 609, 4101, 6381, 780, 1103, 5758, 267, 3486, 18229, 3354, 4249, 513, 2629, 1909, 538, 7863, 782, 540, 721, 607, 649, 2951, 676, 2011, 269, 3245, 9584, 561, 10212, 720, 543, 15915, 547, 25640, 2792, 1063, 2477, 267, 1082, 6131, 4648, 960, 2182, 1169, 1554, 547, 1832, 938, 22839, 2922, 269, 1635, 1620, 891, 3646, 543, 5885, 5571, 7760, 538, 18229, 3354, 267, 649, 666, 3136, 11981, 519, 9059, 540, 8184, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 12976, 519, 2582, 1267, 454, 20809, 476, 2420, 267, 476, 1001, 273, 910, 8298, 538, 547, 31400, 454, 289, 3419, 700, 667, 1744, 12609, 267, 297, 320, 760, 584, 2414, 2503, 513, 3375, 689, 513, 1612, 3315, 7458, 1268, 568, 2192, 16479, 543, 24584, 28986, 547, 4755, 454, 763, 979, 26404, 814, 8959, 538, 782, 18651, 1206, 543, 789, 6999, 547, 32006, 720, 1018, 2370, 789, 666, 1547, 901, 568, 835, 1259, 789, 666, 1547, 2060, 519, 4266, 540, 476, 279, 628, 4119, 607, 513, 4666, 1899, 621, 568, 7805, 602, 1945, 568, 538, 519, 1055, 532, 2073, 538, 19220, 540, 519, 12233, 1373, 14095, 609, 1152, 594, 3008, 20017, 516, 10492, 269, 594, 993, 23904, 602, 1434, 2631, 786, 7173, 841, 563, 18907, 476, 3066, 267, 476, 1001, 273, 910, 8298, 538, 547, 31400, 454, 763, 1655, 914, 568, 547, 581, 2178, 2614, 547, 693, 548, 770, 3068, 707, 1378, 2591, 269, 1280, 20793, 8016, 267, 609, 3624, 865, 10728, 538, 519, 3162, 3624, 7256, 267, 2178, 12352, 267, 1312, 4096, 762, 543, 2844, 629, 331, 267, 324, 616, 2838, 2529, 298, 932, 2660, 10202, 454, 9802, 476, 2641, 267, 476, 1001, 273, 910, 8298, 538, 547, 31400, 454, 32091, 4937, 744, 828, 16211, 543, 21193, 514, 267, 7069, 5360, 9323, 585, 4758, 971, 513, 8748, 7650, 540, 519, 8136, 262, 5117, 530, 270, 334, 9991, 538, 519, 15972, 540, 513, 1880, 3296, 540, 2923, 12991, 527, 514, 267, 538, 707, 1378, 18803, 1259, 267, 596, 723, 2944, 621, 1586, 14389, 16997, 19656, 269, 594, 1869, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17220, 28645, 8232, 257, 607, 851, 540, 834, 30311, 1315, 5794, 1299, 6611, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3280, 899, 888, 268, 1215, 10978, 568, 476, 4281, 1232, 756, 1564, 888, 268, 3657, 6049, 1232, 756, 601, 7397, 4977, 888, 268, 2052, 594, 1118, 1250, 11718, 26982, 2678, 888, 268, 1215, 10978, 568, 513, 19307, 11718, 888, 268, 1772, 476, 3583, 28108, 10978, 888, 1432, 568, 513, 2922, 28108, 6846, 1377, 888, 13356, 756, 601, 5426, 16319, 693, 610, 2630, 476, 3583, 546, 10621, 616, 3622, 2808, 2922, 563, 12179, 3280, 693, 610, 1657, 476, 5952, 546, 10621, 568, 811, 2693, 547, 3441, 707, 6217, 936, 942, 563, 12867, 723, 1336, 602, 1004, 945, 616, 6534, 936, 1279, 5712, 540, 942, 547, 6846, 2157, 693, 476, 5952, 546, 10621, 610, 2362, 616, 693, 513, 1454, 3152, 1981, 585, 6217, 2530, 10756, 1692, 1082, 1232, 756, 1564, 666, 6146, 596, 888, 1103, 782, 19969, 267, 4440, 711, 2443, 8259, 267, 5310, 267, 596, 941, 12758, 609, 707, 2212, 3330, 519, 18057, 585, 513, 12675, 1974, 269, 476, 5611, 1232, 756, 1564, 568, 2356, 2808, 2614, 547, 16802, 707, 552, 731, 337, 4548, 267, 855, 519, 12939, 585, 2669, 568, 2356, 890, 13949, 693, 1472, 476, 6977, 268, 1220, 28108, 563, 1692, 1082, 28108, 568, 513, 9602, 11718, 888, 6097, 547, 8830, 16746, 2160, 267, 7244, 3322, 513, 1232, 756, 601, 1377, 540, 827, 476, 1015, 267, 799, 568, 18923, 2912, 1043, 269, 589, 9602, 1016, 7875, 609, 6643, 538, 513, 1753, 568, 827, 476, 2004, 546, 10621, 267, 799, 1797, 513, 11718, 609, 513, 12773, 1063, 476, 2004, 543, 476, 2568, 546, 10621, 568, 9425, 9602, 563, 3674, 476, 6924, 28108, 9602, 585, 513, 11718, 888, 288, 476, 6924, 28108, 11718, 568, 9444, 1932, 10978, 6862, 1932, 9602, 269, 898, 3091, 606, 3328, 1377, 540, 6846, 267, 799, 568, 607, 1434, 607, 519, 6846, 4947, 689, 513, 3844, 2011, 30690, 950, 4862, 689, 513, 3845, 540, 476, 736, 3952, 269, 9198, 2209, 609, 713, 1377, 540, 3280, 616, 3833, 1455, 543, 2709, 513, 1434, 3666, 609, 519, 4398, 593, 2709, 607, 1134, 563, 1692, 10978, 568, 476, 2568, 546, 10621, 888, 288, 3280, 779, 10978, 1145, 568, 6027, 538, 1232, 756, 1564, 630, 323, 289, 1040, 16453, 6643, 568, 827, 476, 2568, 28108, 267, 513, 15989, 544, 1077, 568, 827, 476, 3445, 28108, 267, 543, 513, 10978, 4224, 13447, 568, 827, 476, 6344, 28108, 563, 1432, 1232, 756, 601, 568, 1932, 10978, 585, 27199, 321, 2293, 888, 5475, 782, 267, 519, 1876, 2829, 602, 519, 11807, 3280, 1377, 568, 476, 4649, 323, 289, 1282, 24817, 630, 277, 600, 547, 476, 280, 10975, 264, 543, 476, 3393, 323, 289, 1282, 30148, 630, 280, 10975, 547, 476, 277, 600, 264, 538, 10821, 2127, 269, 1809, 596, 15983, 3112, 2995, 952, 707, 16705, 568, 1657, 519, 3970, 1175, 609, 707, 10772, 269, 30586, 267, 596, 991, 711, 7048, 593, 707, 10772, 547, 2268, 519, 6846, 1377, 563, 1692, 10978, 568, 476, 10602, 28108, 6846, 888, 27879, 10152, 1286, 693, 476, 4792, 18890, 693, 476, 1839, 10264, 630, 6507, 28108, 5148, 1863, 3118, 693, 476, 2004, 10264, 689, 31879, 6316, 476, 1015, 513, 6230, 269, 630, 10602, 28108, 1040, 12389, 4055, 2575, 630, 10602, 28108, 5148, 5925, 610, 7641, 268, 7596, 1470, 267, 12511, 15777, 630, 3583, 28108, 1040, 1488, 4226, 9009, 3490, 540, 6476, 269, 16592, 476, 3583, 338, 616, 20714, 5944, 10978, 547, 930, 1004, 563, 4692, 596, 2322, 513, 3623, 27247, 593, 513, 11718, 888, 8133, 267, 596, 1224, 602, 1318, 281, 596, 666, 946, 606, 16669, 544, 4428, 2401, 547, 544, 28984, 519, 3280, 540, 707, 15409, 11718, 269, 2755, 713, 568, 711, 519, 1034, 3551, 1505, 950, 2944, 7157, 267, 621, 666, 3035, 513, 476, 1015, 268, 1428, 1232, 756, 601, 5786, 269, 2353, 596, 786, 991, 568, 606, 16669, 544, 4428, 2401, 267, 930, 5876, 267, 543, 513, 1906, 2645, 563, 1432, 568, 519, 1034, 9602, 11718, 888, 12749, 476, 1015, 2372, 2884, 652, 9198, 2209, 22702, 17653, 1807, 5591, 1047, 5426, 630, 1839, 260, 20509, 264, 305, 7342, 1315, 18786, 20242, 1206, 272, 269, 3776, 17292, 281, 654, 2894, 476, 6321, 273, 876, 328, 7906, 28108, 8182, 271, 654, 1315, 476, 1220, 271, 18040, 25352, 9167, 13136, 271, 328, 5392, 28108, 5197, 271, 654, 1315, 476, 13136, 271, 654, 274, 269, 26232, 21036, 31246, 1220, 271, 328, 306, 341, 25172, 269, 276, 28108, 8182, 271, 654, 1315, 476, 1220, 271, 654, 275, 269, 9198, 659, 1775, 304, 1220, 4962, 274, 28108, 8182, 271, 654, 1315, 476, 1220, 271, 654, 277, 811, 9343, 1892, 14257, 476, 2420, 267, 476, 1708, 271, 454, 1432, 568, 519, 6846, 1377, 540, 513, 11718, 888, 1103, 4853, 2127, 267, 519, 7989, 24777, 3970, 568, 476, 4037, 28108, 585, 24817, 543, 476, 3583, 28108, 693, 3781, 269, 769, 5010, 2127, 267, 621, 568, 476, 4792, 28108, 543, 476, 4649, 28108, 1247, 538, 10821, 2127, 621, 568, 476, 4649, 28108, 543, 476, 3393, 28108, 1282, 24817, 543, 3781, 6606, 563, 1432, 568, 476, 6924, 28108, 6846, 1377, 888, 3383, 476, 6924, 24563, 568, 513, 3339, 6643, 1377, 269, 589, 2922, 610, 11807, 6846, 1377, 585, 3586, 4598, 568, 476, 6924, 24563, 610, 2630, 269, 24651, 3441, 666, 2049, 950, 6534, 547, 513, 3586, 4282, 6846, 540, 476, 3199, 1107, 476, 3445, 24563, 269, 4975, 6808, 568, 3335, 476, 5952, 24563, 563, 1432, 1281, 476, 10619, 28108, 3280, 899, 888, 5591, 1047, 5426, 15873, 323, 10621, 7078, 2568, 935, 951, 1049, 4633, 3583, 3333, 1077, 4037, 1729, 850, 339, 1166, 5241, 3199, 531, 1301, 9219, 2764, 811, 9343, 454, 3963, 616, 670, 25352, 18402, 865, 9602, 888, 763, 1292, 2601, 1946, 606, 28860, 11718, 568, 865, 9602, 568, 1317, 540, 519, 2029, 621, 3096, 547, 3132, 2973, 5201, 269, 2201, 1283, 540, 602, 267, 9755, 4871, 593, 519, 1970, 6846, 5413, 540, 28860, 18402, 543, 865, 849, 1039, 824, 6846, 10893, 2934, 547, 519, 3684, 563, 1692, 10978, 568, 513, 670, 25352, 11718, 888, 12552, 547, 513, 11207, 20583, 1560, 543, 28860, 2029, 267, 789, 7500, 607, 6846, 2157, 1063, 476, 5392, 543, 476, 2568, 1232, 756, 1564, 1107, 799, 568, 1100, 21514, 1457, 982, 3339, 4633, 269, 670, 25352, 849, 3091, 513, 1297, 540, 824, 3681, 602, 267, 1247, 711, 607, 9602, 607, 519, 9167, 18402, 267, 949, 4196, 707, 3498, 693, 513, 2539, 1942, 563, 3674, 476, 10602, 28108, 10978, 585, 513, 11718, 888, 4322, 3604, 616, 6027, 538, 968, 842, 3748, 892, 10691, 968, 331, 3716, 1145, 892, 607, 10978, 1145, 568, 513, 16148, 6482, 269, 1924, 476, 736, 28108, 568, 711, 476, 1911, 2053, 968, 331, 537, 1457, 892, 982, 476, 272, 323, 289, 269, 2560, 5800, 762, 18402, 2039, 689, 476, 5325, 28108, 689, 513, 1507, 476, 1911, 271, 26910, 28860, 547, 476, 10602, 28108, 585, 513, 476, 1428, 24605, 476, 1015, 267, 1822, 26910, 3044, 11718, 563, 1432, 1281, 476, 7367, 1232, 756, 1564, 3280, 899, 888, 9336, 3280, 814, 513, 1232, 756, 601, 1377, 2404, 609, 621, 269, 1403, 606, 6221, 568, 476, 7367, 28108, 10490, 1070, 1287, 621, 814, 513, 3280, 2147, 538, 8515, 547, 513, 3167, 10178, 267, 4552, 3819, 518, 267, 513, 4881, 21067, 543, 513, 9602, 8265, 269, 4033, 1455, 4992, 1331, 513, 1025, 2658, 693, 476, 3445, 28108, 10490, 1070, 17088, 14903, 476, 1911, 28108, 10490, 264, 543, 513, 24986, 4816, 666, 3914, 476, 8099, 28108, 10490, 1916, 1692, 10978, 568, 476, 4281, 1232, 756, 1564, 888, 13356, 756, 1564, 4112, 7134, 13356, 756, 601, 5426, 13126, 3583, 28108, 309, 659, 10840, 15777, 267, 4552, 3819, 518, 4037, 546, 9720, 880, 13195, 615, 4281, 28108, 310, 4770, 3684, 3199, 28108, 294, 541, 12237, 12871, 267, 2749, 6808, 6846, 278, 811, 9343, 454, 6701, 6049, 1232, 756, 601, 7397, 4977, 888, 763, 2817, 4659, 585, 27706, 8881, 543, 2657, 630, 25712, 5308, 295, 264, 11117, 519, 8924, 693, 922, 17974, 4152, 2978, 269, 634, 4255, 849, 3379, 2164, 585, 1775, 268, 4942, 2158, 543, 15692, 11436, 269, 13013, 11190, 3340, 6846, 6482, 7405, 547, 723, 606, 6111, 540, 1341, 25773, 476, 273, 1232, 756, 1564, 630, 323, 289, 1916, 4692, 594, 1118, 1250, 11718, 26982, 2678, 888, 3725, 2897, 2659, 31098, 779, 631, 4428, 2401, 2290, 540, 519, 1034, 2442, 2994, 1004, 946, 547, 9602, 513, 11718, 568, 547, 3888, 513, 3677, 10682, 544, 4428, 2401, 269, 589, 544, 4428, 2401, 779, 2816, 568, 547, 267, 596, 31665, 621, 267, 544, 28984, 519, 3280, 4947, 856, 540, 519, 9688, 12992, 7923, 547, 519, 5179, 540, 519, 11718, 563, 1692, 10978, 568, 513, 19307, 11718, 888, 18184, 2421, 31098, 5463, 756, 601, 20946, 4107, 3044, 11718, 11700, 17007, 616, 7850, 4365, 11700, 17007, 267, 855, 789, 949, 711, 2270, 7850, 3280, 16513, 532, 269, 1306, 513, 1267, 267, 1796, 2421, 18402, 786, 3335, 12520, 6846, 538, 519, 476, 4792, 547, 476, 3199, 28108, 2039, 267, 799, 949, 9765, 1034, 2146, 6846, 3921, 514, 1734, 563, 3674, 476, 3583, 28108, 10978, 888, 306, 895, 568, 6027, 538, 1232, 756, 1564, 630, 323, 289, 1040, 589, 22090, 704, 568, 827, 476, 1789, 28108, 267, 3339, 6643, 568, 827, 476, 2568, 28108, 267, 543, 513, 27576, 2599, 4881, 568, 827, 476, 4817, 28108, 269, 30433, 1657, 476, 3583, 28108, 936, 513, 12675, 1974, 540, 942, 949, 1376, 547, 3441, 707, 6217, 269, 700, 3716, 6846, 1657, 476, 6344, 28108, 666, 2014, 7525, 2800, 547, 707, 10772, 269, 0, 293, 9711, 543, 14313, 689, 7102, 3602, 630, 14813, 1663, 27833, 24295, 264, 630, 305, 657, 12320, 770, 11294, 543, 26442, 564, 574, 32079, 264, 630, 6781, 12645, 589, 20294, 589, 928, 584, 903, 332, 264, 630, 29394, 658, 994, 2562, 14566, 308, 2894, 313, 288, 966, 7644, 4785, 769, 476, 4489, 279, 267, 513, 1007, 14798, 3644, 267, 4171, 2067, 1753, 729, 538, 5017, 267, 7783, 3425, 269, 10738, 3275, 267, 621, 9862, 547, 922, 1007, 3984, 267, 4358, 609, 2475, 7980, 538, 2622, 2782, 594, 4108, 13122, 543, 10825, 6385, 689, 1268, 547, 1268, 269, 901, 14798, 3644, 7166, 811, 1004, 982, 1022, 824, 20575, 538, 1686, 269, 769, 476, 2190, 4374, 621, 7166, 811, 1004, 982, 15978, 814, 7166, 538, 476, 2190, 1296, 269, 634, 476, 4489, 279, 15435, 7166, 693, 2547, 476, 2004, 2929, 1004, 543, 5310, 607, 1082, 607, 476, 1911, 2929, 269, 634, 1158, 779, 2551, 1287, 729, 1152, 476, 2764, 260, 540, 2221, 779, 282, 513, 13380, 2669, 17167, 2221, 1131, 581, 476, 11260, 2929, 547, 476, 23283, 2929, 269, 0, 763, 1133, 23803, 2079, 6743, 693, 24025, 540, 590, 2207, 293, 693, 476, 736, 260, 1213, 906, 267, 909, 547, 476, 1911, 260, 18839, 267, 1759, 593, 513, 476, 4335, 5336, 310, 15245, 602, 1131, 12926, 6633, 513, 2039, 540, 3787, 6058, 748, 5755, 269, 20831, 5143, 31266, 2207, 602, 454, 763, 9759, 540, 519, 8143, 1379, 5108, 2030, 568, 547, 1711, 519, 9252, 538, 26925, 610, 9252, 619, 282, 713, 9252, 568, 6494, 693, 1164, 2604, 547, 513, 19335, 17081, 602, 12958, 5201, 269, 634, 5755, 568, 1101, 16760, 883, 8792, 5536, 1210, 3937, 1572, 5102, 591, 3278, 563, 307, 340, 992, 1379, 2030, 4092, 538, 32181, 520, 2106, 807, 267, 12996, 267, 568, 1373, 3773, 609, 513, 476, 275, 3445, 300, 310, 2706, 322, 15560, 31429, 924, 30187, 10451, 1770, 269, 623, 12283, 18479, 19241, 3497, 807, 16515, 992, 267, 513, 13564, 10706, 540, 1533, 24804, 2717, 338, 6390, 30421, 11985, 2037, 1120, 1214, 322, 345, 3534, 630, 303, 12283, 1070, 22595, 543, 13333, 519, 16515, 992, 1379, 2030, 269, 7358, 1049, 2094, 476, 3422, 273, 267, 16515, 992, 568, 835, 540, 519, 9510, 5755, 30187, 2371, 538, 12996, 563, 2918, 269, 634, 9252, 1379, 2030, 4398, 666, 581, 4824, 676, 281, 513, 264, 4635, 1804, 7274, 540, 1216, 536, 264, 8738, 940, 1804, 7274, 540, 5755, 524, 264, 4635, 1164, 2837, 543, 2604, 540, 9252, 546, 264, 28206, 2084, 519, 4452, 593, 519, 2030, 5775, 281, 524, 269, 476, 2767, 269, 1306, 519, 2450, 540, 519, 8143, 1379, 2030, 4679, 267, 519, 3854, 1942, 829, 737, 310, 540, 8704, 4390, 281, 513, 264, 9214, 1162, 536, 264, 28206, 1162, 524, 454, 307, 17687, 568, 835, 540, 519, 1034, 4922, 6027, 6724, 538, 513, 1379, 2030, 269, 3143, 2339, 519, 1826, 540, 2030, 267, 4977, 543, 6325, 2837, 6482, 568, 1898, 585, 10512, 17284, 563, 10870, 531, 15880, 13749, 568, 3345, 21241, 779, 4102, 1379, 2030, 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 ]
[ 610, 5385, 540, 1239, 4386, 267, 519, 3390, 540, 3354, 540, 602, 6771, 610, 5385, 14340, 269, 769, 1931, 547, 2226, 7834, 543, 22637, 538, 10618, 543, 552, 19645, 8852, 267, 3354, 949, 581, 540, 25932, 2956, 269, 769, 1931, 547, 2232, 3354, 2152, 267, 519, 2780, 543, 26313, 6080, 723, 25282, 25654, 540, 3246, 5150, 4296, 269, 1280, 1383, 267, 538, 519, 5769, 26750, 267, 3354, 568, 1419, 3177, 998, 519, 13255, 23771, 8232, 630, 307, 11862, 1070, 799, 568, 513, 13387, 2012, 585, 519, 24344, 590, 20449, 23771, 630, 7704, 299, 1916, 4407, 12616, 5054, 1683, 513, 15398, 4110, 540, 13418, 267, 789, 849, 3142, 3606, 3354, 4220, 543, 4145, 1759, 7361, 593, 519, 10333, 540, 519, 6771, 5420, 3294, 269, 4935, 267, 14123, 5150, 4296, 538, 12616, 10618, 3340, 6297, 3007, 269, 769, 519, 654, 4338, 1604, 267, 3354, 568, 4867, 3177, 538, 519, 29942, 13255, 23771, 8232, 630, 310, 307, 11862, 264, 7014, 799, 568, 2147, 547, 519, 570, 11862, 267, 855, 2882, 3604, 11341, 7361, 547, 519, 1970, 19961, 4170, 540, 1699, 12616, 10618, 563, 20983, 269, 476, 273, 14550, 606, 1383, 540, 513, 6093, 654, 4338, 4704, 2203, 476, 1220, 543, 519, 2482, 1359, 540, 654, 4338, 10873, 269, 634, 1283, 4494, 3254, 568, 519, 3498, 4494, 476, 1708, 267, 799, 568, 519, 29942, 13335, 5113, 630, 310, 20067, 264, 4494, 585, 654, 4338, 25121, 269, 901, 4494, 20964, 606, 954, 6016, 762, 1604, 3850, 12427, 543, 3028, 7426, 547, 1628, 3156, 543, 2533, 8757, 513, 3099, 540, 1114, 12616, 5867, 269, 634, 654, 20067, 4494, 476, 1708, 3335, 2882, 513, 2890, 1532, 4900, 518, 602, 2488, 513, 3593, 8818, 585, 5985, 3926, 3755, 269, 634, 1985, 13269, 4494, 568, 519, 8400, 4494, 476, 14225, 267, 799, 568, 519, 29942, 29140, 16257, 630, 310, 9915, 264, 4494, 538, 519, 654, 4338, 1604, 269, 634, 654, 9915, 4494, 2488, 606, 8818, 547, 519, 654, 20067, 4494, 476, 1708, 267, 1519, 513, 4276, 15129, 543, 513, 4276, 1652, 3028, 269, 634, 11834, 4494, 476, 18684, 267, 610, 29942, 3690, 9146, 16257, 630, 310, 9143, 264, 4494, 267, 2488, 11834, 2533, 269, 634, 3560, 610, 29942, 13096, 8183, 16257, 630, 310, 7894, 264, 4494, 476, 13975, 3091, 5812, 3028, 547, 519, 5580, 4494, 10873, 540, 654, 4338, 267, 543, 31825, 12001, 569, 936, 835, 540, 519, 2139, 5817, 581, 13145, 2533, 476, 18891, 269, 4033, 654, 4338, 3156, 949, 4125, 513, 1114, 1297, 540, 6106, 610, 4494, 7648, 267, 543, 16658, 269, 476, 273, 2488, 835, 6093, 1383, 540, 513, 654, 4338, 3498, 563, 3849, 4765, 547, 713, 4295, 6771, 7014, 568, 519, 29942, 13255, 23771, 8232, 630, 310, 307, 11862, 264, 602, 8591, 18593, 14238, 6703, 547, 5512, 5150, 8852, 269, 4014, 18593, 267, 519, 654, 307, 11862, 2404, 609, 519, 3354, 4494, 476, 21172, 3254, 538, 16658, 269, 476, 273, 814, 9863, 547, 581, 606, 1271, 2460, 540, 12616, 10618, 269, 654, 307, 11862, 568, 513, 3354, 7014, 3246, 519, 1292, 3354, 2609, 540, 654, 4338, 10618, 267, 543, 3976, 2488, 513, 5150, 3060, 4276, 8400, 1063, 513, 654, 4338, 12363, 543, 513, 654, 4338, 24891, 269, 1306, 786, 581, 4330, 811, 4628, 2630, 267, 654, 307, 11862, 2488, 513, 3984, 540, 3354, 2934, 267, 1519, 17452, 267, 22637, 267, 1239, 8699, 267, 543, 24677, 6361, 28129, 4027, 563, 763, 654, 307, 11862, 3354, 4494, 4330, 538, 16658, 269, 476, 273, 2488, 585, 1585, 2157, 540, 3354, 269, 1280, 1383, 267, 654, 307, 11862, 4147, 476, 272, 3622, 2488, 7834, 543, 1239, 8699, 269, 654, 307, 11862, 4147, 476, 273, 2488, 7834, 267, 1239, 8699, 267, 543, 654, 4338, 24891, 17452, 865, 519, 7817, 666, 6461, 6510, 519, 3961, 540, 519, 24891, 621, 568, 14379, 609, 269, 589, 2362, 1377, 540, 3354, 568, 654, 307, 11862, 4147, 476, 274, 267, 799, 2882, 1346, 2934, 540, 4147, 476, 273, 267, 2059, 609, 654, 4338, 7817, 17452, 267, 7551, 3246, 8994, 17452, 1063, 519, 654, 4338, 24891, 543, 519, 654, 4338, 7817, 563, 306, 16291, 7426, 949, 1683, 3354, 2861, 2533, 7598, 519, 3354, 2934, 3177, 676, 12616, 10873, 971, 607, 654, 4338, 269, 1280, 1383, 267, 513, 654, 4338, 5398, 6206, 24486, 630, 310, 303, 298, 296, 264, 3028, 568, 513, 654, 4338, 3028, 602, 2488, 606, 3498, 1759, 593, 513, 5398, 6206, 24486, 630, 303, 298, 296, 1070, 799, 4016, 547, 513, 6073, 540, 1992, 532, 543, 17034, 10569, 538, 513, 1857, 1883, 6939, 4722, 269, 654, 303, 298, 296, 3976, 2488, 513, 6073, 540, 7175, 519, 3972, 3347, 2877, 585, 17452, 540, 13763, 543, 7218, 563, 288, 1434, 1383, 540, 513, 623, 298, 296, 2861, 3028, 568, 513, 12948, 3498, 267, 8506, 513, 1164, 4110, 540, 3354, 269, 769, 513, 623, 298, 296, 2861, 12948, 3498, 267, 519, 7817, 568, 6461, 5344, 1210, 606, 17452, 15149, 269, 1306, 568, 1634, 538, 519, 1148, 267, 17452, 3622, 4016, 547, 519, 19027, 540, 519, 3961, 540, 519, 1268, 610, 11769, 3238, 538, 519, 2792, 269, 18329, 17452, 3335, 3322, 1210, 513, 15149, 602, 666, 581, 20240, 676, 513, 6444, 27872, 16958, 630, 7563, 1916, 1103, 1840, 547, 17452, 267, 513, 11834, 28431, 5650, 949, 581, 2838, 547, 1450, 519, 7817, 547, 1198, 519, 5551, 11834, 269, 8191, 1436, 3622, 4016, 547, 519, 8990, 540, 513, 1880, 3593, 781, 2924, 547, 1569, 610, 12189, 1808, 1344, 269, 4935, 267, 1256, 1141, 513, 3593, 781, 3961, 814, 1044, 6461, 5344, 267, 621, 949, 1869, 581, 2556, 547, 2327, 602, 519, 3593, 814, 519, 3617, 2924, 547, 1685, 519, 5551, 11834, 269, 1280, 1383, 267, 513, 3593, 949, 581, 1336, 547, 581, 6461, 5344, 585, 513, 12948, 3498, 267, 855, 602, 6461, 5344, 3593, 949, 711, 581, 17101, 547, 4163, 856, 1978, 12948, 8852, 11341, 547, 513, 1880, 4871, 2272, 269, 4329, 267, 538, 4276, 609, 713, 28431, 267, 1875, 3146, 335, 644, 2747, 949, 581, 3238, 267, 799, 4016, 547, 513, 6073, 540, 4180, 602, 513, 3593, 3112, 2663, 20912, 602, 519, 3593, 3576, 851, 538, 519, 11834, 269, 634, 7817, 568, 17101, 1210, 513, 1875, 3146, 335, 644, 2747, 7933, 580, 1388, 15040, 15149, 563, 2690, 1978, 2157, 540, 3354, 267, 519, 7817, 1590, 723, 891, 17452, 543, 1875, 3146, 335, 644, 2747, 7933, 580, 1388, 15040, 22783, 538, 1931, 547, 8415, 519, 5551, 3498, 269, 634, 22783, 1331, 1344, 971, 607, 519, 1857, 1883, 267, 2012, 540, 519, 3593, 267, 543, 3028, 8502, 781, 15040, 269, 769, 835, 32055, 1062, 267, 519, 22783, 616, 6740, 538, 519, 654, 4338, 12363, 267, 971, 607, 538, 513, 654, 8379, 630, 310, 4338, 14740, 21602, 610, 29942, 14740, 21602, 1040, 634, 654, 8379, 8637, 1344, 2556, 585, 519, 7014, 547, 14892, 922, 3354, 543, 17452, 3252, 630, 324, 3052, 1421, 4357, 10569, 1070, 543, 949, 581, 1031, 547, 14892, 519, 2404, 1857, 1883, 6620, 630, 324, 3052, 1421, 681, 6347, 267, 10566, 5937, 295, 267, 10566, 5937, 6347, 267, 3092, 12175, 589, 654, 8379, 949, 581, 3177, 5043, 958, 609, 513, 4427, 2675, 686, 828, 14740, 21602, 630, 306, 8379, 264, 593, 513, 1455, 5100, 3556, 267, 799, 538, 2490, 949, 581, 1031, 538, 513, 5985, 12363, 971, 607, 513, 12616, 15146, 563, 2691, 513, 5985, 3593, 11392, 513, 654, 8379, 3556, 267, 519, 22783, 616, 711, 3622, 27358, 585, 519, 1880, 3593, 267, 610, 585, 519, 3593, 781, 946, 540, 513, 5551, 5150, 3028, 269, 901, 12122, 568, 2838, 1354, 519, 3593, 666, 1569, 519, 3028, 267, 1775, 4318, 1421, 519, 3593, 1590, 11578, 609, 519, 3028, 269, 1306, 786, 581, 4330, 811, 4628, 2630, 267, 606, 27350, 9614, 9074, 568, 1031, 547, 7520, 713, 14261, 269, 901, 9074, 2357, 5809, 519, 6075, 3961, 267, 543, 2357, 5809, 602, 519, 3593, 568, 538, 15896, 540, 1270, 15363, 1344, 971, 607, 519, 4357, 10569, 538, 519, 654, 8379, 269, 1403, 891, 2357, 5874, 616, 3811, 267, 519, 3593, 11392, 519, 17452, 543, 1875, 3146, 335, 644, 2747, 22783, 585, 602, 3028, 563, 5415, 3226, 267, 1354, 5561, 270, 22852, 616, 2111, 547, 946, 5985, 2533, 602, 7048, 593, 519, 29942, 5398, 6206, 24486, 630, 310, 303, 298, 296, 264, 585, 3593, 17452, 267, 789, 991, 513, 3028, 15149, 610, 513, 15745, 15738, 547, 519, 15149, 8704, 593, 741, 5985, 12363, 269, 589, 3028, 15149, 568, 513, 3044, 1106, 2594, 602, 3568, 513, 6609, 540, 922, 8227, 267, 1519, 519, 1857, 1883, 269, 634, 2037, 2651, 618, 15440, 6087, 593, 11060, 6765, 540, 891, 3028, 22783, 269, 634, 3593, 11392, 519, 3028, 15149, 3842, 519, 5985, 12363, 1510, 2348, 547, 2965, 9308, 2445, 621, 563, 1103, 1931, 547, 3715, 513, 5150, 4276, 1063, 519, 31392, 7817, 12363, 543, 519, 6098, 7746, 267, 606, 3355, 3126, 540, 10618, 3217, 1747, 547, 3715, 3346, 543, 6582, 519, 3355, 6073, 538, 799, 891, 9988, 786, 5968, 269, 901, 949, 581, 12913, 538, 513, 3099, 540, 25654, 267, 835, 540, 799, 568, 513, 3946, 327, 820, 7014, 4857, 538, 654, 4338, 17072, 29942, 13335, 16257, 29942, 13255, 23771, 8232, 10410, 2305, 630, 310, 4338, 654, 307, 11862, 1040, 901, 10410, 2305, 267, 654, 4338, 268, 1960, 8862, 307, 11862, 630, 309, 619, 542, 476, 1240, 267, 5988, 476, 1911, 271, 264, 568, 835, 540, 513, 1305, 540, 16551, 4611, 689, 519, 3646, 540, 519, 654, 4338, 17072, 267, 543, 568, 3622, 9859, 547, 519, 3354, 4494, 7014, 654, 307, 11862, 269, 634, 6724, 540, 519, 5150, 8400, 616, 3812, 676, 519, 654, 307, 11862, 3946, 327, 820, 7014, 998, 19908, 540, 519, 5150, 10305, 540, 519, 5551, 5150, 8400, 269, 769, 835, 20032, 540, 519, 8798, 267, 693, 2547, 513, 6712, 540, 519, 654, 307, 11862, 3946, 327, 820, 7014, 949, 581, 1031, 547, 3801, 547, 3715, 513, 5150, 4276, 267, 543, 519, 3741, 540, 519, 1459, 8798, 949, 581, 4294, 538, 4276, 609, 519, 654, 307, 11862, 610, 26922, 3946, 327, 820, 7014, 563, 20983, 269, 476, 274, 14550, 606, 1383, 3946, 327, 820, 7014, 1031, 547, 3715, 513, 4276, 269, 1323, 3355, 5048, 267, 3254, 538, 16658, 269, 476, 274, 607, 519, 1849, 1304, 28982, 5048, 476, 23714, 267, 568, 15748, 593, 519, 7817, 2427, 476, 4968, 540, 519, 32705, 5385, 269, 901, 5048, 476, 23714, 568, 519, 7817, 781, 476, 4968, 1101, 5048, 547, 519, 7746, 476, 20542, 269, 2201, 519, 7746, 2427, 476, 20542, 267, 513, 18218, 28982, 5048, 476, 24374, 568, 849, 6383, 269, 634, 5385, 540, 3355, 6835, 267, 1775, 4318, 269, 519, 1849, 1304, 28982, 5048, 476, 23714, 543, 18218, 28982, 5048, 476, 24374, 267, 568, 1031, 547, 3858, 593, 6939, 4919, 1883, 5385, 6620, 543, 5385, 4351, 2418, 269, 1403, 519, 7746, 476, 20542, 1281, 711, 4431, 547, 519, 1849, 1304, 28982, 5048, 476, 23714, 609, 513, 18218, 28982, 5048, 476, 24374, 267, 606, 5470, 786, 2049, 543, 519, 4276, 786, 3111, 269, 17968, 267, 519, 7746, 476, 20542, 949, 2824, 1978, 3354, 1344, 585, 946, 538, 9591, 513, 5150, 4276, 267, 610, 952, 1100, 11807, 5079, 616, 4843, 547, 519, 7746, 476, 20542, 267, 519, 7746, 786, 2132, 513, 3946, 327, 820, 5821, 31015, 543, 2673, 519, 4276, 269, 1403, 519, 7746, 476, 20542, 568, 2111, 547, 1265, 606, 11807, 1305, 540, 6620, 267, 519, 7746, 476, 20542, 786, 7006, 2255, 519, 18218, 28982, 5048, 476, 24374, 547, 519, 7817, 476, 4968, 563, 2252, 519, 18218, 28982, 5048, 476, 24374, 568, 6707, 10299, 547, 519, 7817, 476, 4968, 267, 519, 7746, 18993, 1080, 519, 25890, 5048, 476, 27183, 952, 519, 15149, 568, 547, 581, 6461, 5344, 269, 901, 5048, 2488, 606, 16315, 540, 606, 3617, 15149, 1826, 269, 3958, 267, 513, 7746, 1883, 5385, 5048, 476, 22332, 949, 581, 2366, 952, 2838, 267, 799, 568, 519, 2013, 1141, 519, 7746, 1281, 711, 723, 513, 15149, 267, 610, 952, 922, 15149, 568, 585, 19142, 1152, 269, 4935, 267, 4470, 593, 519, 1883, 5385, 1505, 267, 519, 18218, 6206, 16510, 5048, 476, 22332, 949, 581, 2366, 547, 6655, 6939, 4919, 1344, 3850, 519, 7817, 476, 4968, 547, 5968, 519, 840, 2173, 2120, 5728, 630, 324, 3052, 1421, 513, 1857, 1883, 547, 17278, 513, 5728, 609, 267, 6724, 609, 799, 519, 7817, 476, 4968, 666, 2347, 513, 1883, 5385, 609, 519, 1267, 1373, 519, 840, 2173, 2120, 5728, 267, 3092, 12175, 634, 7746, 476, 20542, 949, 7662, 513, 15149, 689, 519, 7817, 476, 4968, 267, 971 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 729, 2009, 547, 5173, 519, 6174, 1764, 3432, 267, 1310, 3170, 958, 11495, 513, 31355, 267, 689, 513, 2022, 2173, 677, 655, 1867, 543, 513, 2241, 6514, 540, 519, 8697, 6174, 563, 9281, 12839, 779, 3173, 2919, 513, 6310, 2203, 602, 666, 581, 1031, 547, 5173, 2571, 5160, 8194, 538, 1764, 7653, 269, 901, 2203, 729, 4294, 547, 606, 4359, 3059, 2203, 540, 519, 1480, 1560, 267, 2919, 676, 23625, 7974, 16359, 15278, 543, 23625, 7974, 6239, 681, 22936, 6997, 338, 267, 547, 18082, 31355, 21611, 543, 729, 2111, 547, 6707, 3313, 519, 10335, 543, 4087, 540, 3441, 547, 2634, 3043, 543, 15454, 2339, 563, 4322, 20533, 21611, 786, 1489, 519, 5137, 540, 513, 5983, 14750, 16677, 652, 6929, 23247, 18482, 630, 293, 8976, 291, 264, 540, 2022, 268, 3147, 1211, 8194, 7063, 267, 799, 1131, 2709, 5571, 6351, 543, 2866, 547, 519, 7128, 543, 3782, 5823, 538, 7634, 543, 5868, 540, 2022, 268, 3147, 1211, 8194, 2665, 563, 8794, 519, 674, 8976, 291, 267, 519, 1382, 786, 1413, 547, 948, 519, 7128, 3196, 3432, 909, 741, 2104, 2022, 2987, 322, 1211, 13753, 269, 898, 1131, 2417, 2709, 2564, 4648, 31302, 5796, 593, 2126, 676, 3850, 873, 547, 2932, 513, 2143, 5691, 11632, 11571, 538, 7643, 1759, 593, 513, 2656, 3308, 14791, 540, 519, 6174, 3441, 543, 519, 6408, 779, 5945, 547, 3313, 519, 1655, 1576, 540, 2962, 563, 2171, 18783, 938, 4681, 547, 581, 540, 4324, 547, 519, 6595, 2533, 267, 1312, 538, 2474, 540, 31355, 2126, 1310, 513, 4155, 6808, 8009, 543, 18837, 7634, 269, 634, 31355, 8194, 6538, 814, 2417, 1761, 547, 2087, 519, 3106, 540, 6174, 1374, 267, 676, 6220, 1007, 31355, 5945, 7355, 1759, 593, 1950, 2539, 1850, 17795, 3270, 267, 5247, 1314, 2571, 5160, 8194, 7063, 267, 2212, 7063, 1759, 593, 1764, 4287, 267, 4008, 543, 2085, 269, 1452, 1007, 5945, 7355, 1223, 2149, 513, 2551, 543, 6663, 547, 2087, 1699, 6174, 3106, 4879, 2409, 799, 616, 1759, 593, 796, 19874, 762, 16154, 1449, 546, 27186, 563, 2026, 606, 3606, 6364, 540, 519, 1788, 10995, 2645, 786, 581, 2813, 538, 519, 1985, 1614, 1296, 547, 1489, 8009, 543, 6595, 5234, 609, 2866, 269, 898, 568, 849, 17191, 602, 267, 538, 519, 2104, 267, 519, 6310, 8194, 2203, 1223, 1217, 519, 1646, 540, 10688, 2472, 547, 2327, 2362, 3106, 4441, 269, 1280, 3236, 267, 519, 2203, 1223, 2087, 2212, 1764, 4152, 676, 1519, 513, 2417, 2634, 7063, 4879, 547, 3986, 519, 2702, 540, 1007, 27576, 543, 17919, 3106, 31238, 547, 2149, 1996, 2800, 563, 10666, 594, 10499, 290, 281, 634, 4659, 585, 8892, 13255, 543, 20079, 10953, 21722, 10688, 3435, 269, 3245, 23960, 519, 11144, 2509, 4642, 28003, 3560, 543, 3384, 8537, 1374, 2853, 547, 4180, 519, 2922, 6388, 540, 14628, 3560, 3435, 267, 594, 10499, 290, 568, 3844, 547, 6061, 2518, 10688, 2591, 269, 594, 10499, 290, 1568, 5702, 609, 2872, 547, 2327, 602, 922, 1382, 814, 1483, 8996, 3156, 267, 4509, 2673, 3347, 609, 3056, 4213, 1369, 519, 3560, 5823, 269, 0, 12626, 4530, 476, 9032, 454, 17445, 687, 585, 5999, 689, 476, 272, 547, 476, 275, 912, 763, 8574, 2016, 2630, 568, 4553, 676, 513, 1305, 540, 2947, 2055, 269, 7994, 519, 1034, 3617, 2626, 547, 1142, 2243, 563, 11767, 532, 519, 3450, 3924, 568, 1034, 4101, 538, 519, 2038, 8090, 950, 835, 568, 796, 659, 638, 20557, 609, 1018, 6013, 6619, 269, 1677, 723, 27058, 519, 454, 14337, 540, 2875, 538, 513, 1153, 1281, 711, 1291, 6923, 547, 606, 2653, 11056, 540, 519, 1909, 540, 4116, 269, 11569, 267, 1007, 3610, 1419, 1995, 741, 454, 29324, 607, 20437, 282, 1082, 4898, 952, 789, 786, 2479, 581, 2111, 547, 2744, 513, 4743, 540, 1852, 936, 968, 1492, 4928, 9731, 306, 3019, 267, 2705, 267, 1310, 513, 1906, 1296, 540, 588, 22824, 789, 2744, 513, 17117, 540, 519, 9499, 543, 741, 2404, 24099, 3457, 269, 1358, 2253, 547, 1294, 513, 454, 516, 7065, 1438, 4806, 538, 519, 1259, 602, 1053, 4043, 547, 4431, 547, 519, 1978, 2042, 543, 2152, 543, 267, 1034, 11932, 267, 789, 2253, 547, 3314, 454, 6518, 540, 741, 6114, 941, 2500, 538, 799, 8658, 269, 634, 1883, 547, 741, 1967, 568, 30693, 563, 5445, 1590, 1451, 1369, 519, 2907, 5462, 1604, 540, 519, 1837, 547, 1445, 2875, 3007, 593, 519, 1883, 2152, 267, 799, 538, 5532, 5311, 454, 25075, 728, 519, 9759, 540, 513, 3942, 540, 519, 17117, 540, 513, 9015, 269, 901, 10072, 543, 2312, 24099, 16046, 540, 519, 1271, 8631, 849, 2488, 519, 454, 13318, 1192, 528, 609, 513, 1219, 839, 1043, 5119, 540, 6788, 1996, 799, 4023, 6268, 666, 1491, 1747, 563, 29973, 547, 519, 4116, 267, 543, 10169, 2139, 538, 519, 7214, 2497, 540, 519, 1837, 267, 568, 513, 15568, 11095, 2631, 540, 1018, 568, 454, 14363, 693, 799, 2085, 1377, 269, 9717, 519, 1560, 540, 1570, 513, 4116, 1590, 3382, 267, 942, 7569, 602, 17279, 581, 1929, 3990, 543, 602, 1152, 1346, 454, 628, 902, 267, 799, 616, 2085, 3617, 267, 1100, 811, 543, 1100, 1447, 267, 581, 519, 8631, 540, 1142, 1032, 779, 960, 269, 634, 4116, 779, 18515, 547, 3479, 5128, 547, 1373, 851, 454, 1993, 513, 2319, 676, 2324, 1369, 519, 1808, 10126, 540, 519, 1225, 14152, 2650, 585, 799, 646, 568, 3743, 568, 513, 1713, 1129, 540, 3318, 15657, 269, 1677, 454, 3104, 519, 9696, 540, 6044, 543, 547, 917, 1010, 1747, 538, 873, 4679, 519, 4110, 540, 32252 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 3079, 540, 519, 1699, 1079, 563, 763, 18747, 267, 547, 581, 9307, 676, 5851, 14199, 634, 25564, 2904, 267, 616, 4397, 547, 2759, 11776, 267, 4867, 7555, 693, 320, 1032, 267, 676, 476, 1839, 267, 1358, 616, 2966, 5097, 547, 8396, 6811, 602, 930, 30707, 616, 7136, 720, 1153, 2274, 2644, 2826, 976, 547, 1491, 5413, 540, 519, 5177, 781, 21464, 10304, 269, 24935, 593, 634, 3057, 11538, 513, 30067, 4618, 4807, 538, 9315, 858, 631, 1551, 8058, 2221, 267, 11427, 2904, 1767, 2433, 1412, 296, 1589, 621, 568, 1271, 602, 31929, 4414, 323, 3558, 26603, 677, 1004, 616, 8744, 1004, 883, 519, 5177, 547, 1711, 513, 1920, 1934, 538, 519, 3057, 11538, 513, 30067, 4618, 4807, 538, 9315, 858, 602, 649, 2161, 602, 596, 1058, 581, 2111, 547, 1489, 707, 2383, 543, 711, 581, 882, 5050, 593, 519, 1533, 563, 307, 800, 631, 11679, 2063, 3781, 20888, 519, 1847, 855, 23267, 22557, 2006, 18281, 21563, 656, 1767, 281, 1412, 4322, 1007, 3800, 723, 811, 547, 798, 609, 634, 25564, 2904, 781, 705, 915, 5821, 547, 2661, 909, 547, 1200, 9153, 547, 2759, 11776, 982, 14619, 269, 1261, 10645, 519, 2856, 729, 1412, 335, 3233, 569, 2219, 856, 3299, 4946, 281, 1412, 2005, 4667, 1360, 15490, 602, 513, 4057, 3703, 812, 610, 4807, 666, 2887, 538, 2648, 609, 2576, 689, 3013, 610, 595, 5417, 858, 543, 581, 15286, 689, 3478, 9310, 543, 1818, 513, 1753, 1934, 267, 1247, 513, 3638, 1268, 563, 3891, 1767, 3057, 11538, 513, 30067, 4618, 4807, 538, 9315, 858, 1732, 1259, 547, 4308, 609, 519, 1966, 1131, 581, 547, 530, 758, 534, 602, 2826, 976, 945, 19533, 30707, 543, 7017, 1934, 1683, 513, 6125, 4502, 1412, 320, 8101, 2040, 8339, 1403, 519, 19366, 4682, 593, 547, 3409, 2640, 267, 519, 2724, 1131, 581, 20952, 539, 689, 519, 6125, 269, 634, 5851, 14199, 849, 9783, 513, 9963, 547, 16488, 2221, 602, 741, 7060, 547, 3625, 519, 1244, 677, 566, 540, 4914, 20737, 593, 1480, 2924, 12406, 1590, 581, 1225, 5523, 563, 300, 3464, 2904, 1767, 1352, 1131, 581, 5275, 519, 25380, 540, 12057, 585, 1007, 4808, 585, 519, 10470, 10259, 856, 875, 519, 10470, 1058, 4019, 519, 3864, 13482, 593, 5274, 7126, 9315, 604, 323, 971, 2665, 269, 769, 1880, 267, 1352, 1767, 1352, 1131, 581, 1818, 2312, 602, 519, 1318, 547, 513, 1920, 1272, 1671, 15590, 1441, 19384, 14589, 11511, 933, 20444, 9137, 476, 279, 540, 519, 15007, 910, 1031, 676, 930, 4914, 20737, 547, 9029, 1996, 8851, 689, 519, 2197, 910, 729, 711, 6207, 563, 9515, 5360, 7134, 519, 16488, 941, 711, 2921, 2272, 540, 519, 9962, 1857, 1719, 538, 519, 1259, 519, 15007, 13087, 873, 547, 269, 1656, 1352, 19230, 602, 952, 789, 4210, 532, 15731, 538, 7013, 645, 1722, 519, 786, 540, 12057, 267, 1352, 1131, 3142, 538, 1007, 9086, 547, 2327, 602, 621, 729, 24451, 563, 3383, 9315, 597, 325, 519, 4690, 540, 519, 4346, 610, 540, 9013, 9194, 610, 540, 1857, 1931, 910, 1346, 4990, 26726, 12142, 4477, 839, 18552, 2152, 910, 519, 1533, 814, 513, 1318, 547, 20618, 713, 1318, 547, 513, 1920, 1272, 10086, 1352, 1767, 20426, 1607, 1353, 27180, 519, 11668, 3761, 7180, 540, 9310, 21487, 2021, 609, 4704, 563, 18131, 616, 2261, 11538, 4054, 538, 6792, 1923, 10326, 295, 10212, 518, 454, 13231, 625, 519, 4775, 11668, 3761, 585, 6792, 543, 9060, 602, 1034, 1004, 538, 9315, 858, 13188, 11554, 14430, 661, 270, 1240, 267, 9315, 858, 2160, 267, 9315, 858, 563, 2690, 1027, 7365, 568, 513, 7365, 9315, 573, 325, 799, 835, 610, 811, 540, 519, 6105, 568, 9310, 1510, 741, 269, 901, 1797, 602, 2021, 945, 19533, 7820, 538, 2085, 616, 811, 2693, 547, 581, 4586, 320, 812, 689, 9315, 858, 267, 945, 729, 13604, 30992, 547, 476, 1626, 1296, 538, 7890, 269, 607, 1134, 607, 2066, 519, 2475, 1700, 28657, 543, 2475, 1700, 300, 1410, 4815, 10665, 267, 585, 519, 3483, 540, 563, 20755, 5202, 540, 2021, 781, 3656, 2924, 630, 1278, 982, 13359, 264, 910, 9504, 454, 20755, 5202, 540, 2021, 781, 3656, 2924, 630, 1278, 982, 13359, 264, 4564, 6101, 2242, 543, 15024, 18310, 281, 9310, 20766, 896, 476, 3374, 666, 27836, 3959, 563, 269, 2201, 4864, 476, 2764, 32586, 11204, 10966, 7040, 15081, 9529, 519, 1876, 269, 26890, 559, 4521, 4406, 550, 1149, 26603, 2176, 570, 13550, 517, 6468, 1677, 17179, 8131, 4211, 1478, 532, 15281, 336, 629, 769, 1715, 3162, 12986, 267, 476, 274, 2904, 834, 269, 0, 23175, 561, 823, 616, 1360, 1507, 15495, 602, 2661, 593, 1480, 1973, 269, 1358, 616, 2356, 1336, 593, 519, 2212, 267, 607, 789, 616, 13631, 547, 4552, 269, 700, 823, 666, 581, 2938, 609, 519, 1480, 3750, 543, 18613, 546, 663, 745, 742, 593, 519, 2212, 269, 1358, 2611, 593, 519, 4552, 610, 21435, 1310, 17678, 543, 666, 581, 1360, 2352, 547, 1205, 7759, 540, 563, 23175, 561, 823, 616, 3262, 998, 3346, 609, 824, 7783, 2043, 269, 23657, 676, 2348, 2673, 3346, 609, 2576, 945, 814, 873, 610, 676, 4947, 538, 3346, 609, 1945, 602, 789, 723, 1031, 971, 607, 4552, 1962, 16640, 267, 9660, 267, 22970, 543, 17960, 267, 23107, 267, 10788, 3298, 267, 543, 15135, 563, 14399, 267, 2523, 1346, 538, 3506, 267, 616, 811, 2693, 547, 1205, 2212, 561, 823, 982, 4079, 269, 21989, 4043, 547, 1205, 2212, 561, 823, 811, 982, 8695, 1813, 547, 519, 1249, 602, 6690, 3622, 723, 811, 3346, 609, 1142, 824, 543, 2671, 3688, 602, 2097, 538, 3346, 609, 519, 2212, 811, 1419, 982, 8695, 563, 763, 7887, 13525, 602, 2576, 949, 723, 2212, 561, 823, 568, 952, 789, 1995, 3586, 21422, 593, 519, 2212, 610, 1745, 899, 789, 723, 12961, 3001, 2059, 741, 21435, 269, 22628, 6263, 3001, 12961, 610, 19335, 5798, 593, 519, 2212, 568, 513, 1129, 540, 2212, 561, 823, 563, 23175, 561, 823, 666, 581, 8995, 676, 10992, 519, 2212, 269, 634, 4552, 1058, 581, 6632, 543, 5116, 896, 513, 1769, 547, 581, 2938, 519, 1655, 269, 4635, 513, 2036, 267, 979, 998, 1169, 3296, 540, 4552, 3168, 585, 5798, 610, 561, 823, 269, 634, 5798, 616, 1572, 562, 1080, 543, 616, 1360, 2352, 547, 1847, 269, 1358, 786, 711, 3362, 581, 1490, 19813, 2476, 269, 6744, 3297, 519, 10772, 543, 693, 519, 3490, 540, 519, 8405, 607, 789, 616, 519, 1034, 1455, 4025, 547, 1265, 873, 563, 4537, 2086, 30139, 602, 1521, 561, 823, 666, 581, 1336, 538, 3075, 8637, 269, 5901, 519, 31576, 5622, 2476, 689, 519, 2960, 607, 1454, 607, 2009, 269, 1452, 31576, 30139, 786, 849, 2097, 609, 513, 561, 823, 2036, 547, 4894, 519, 561, 823, 689, 519, 4552, 269, 700, 823, 1590, 849, 581, 6569, 689, 519, 1753, 543, 824, 4025, 519, 1268, 7783, 949, 723, 1044, 269, 2598, 17126, 2036, 338, 543, 26814, 267, 11547, 782, 17234, 538, 3905, 1216, 267, 543, 4025, 824, 3688, 602, 3112, 1205, 6632, 538, 519, 3819, 518, 593, 1164, 3002, 547, 6146, 519, 561, 823, 602, 2611, 269, 4033, 3688, 1058, 581, 20177, 538, 513, 5068, 9126, 585, 693, 2547, 1079, 4374, 547, 6146, 519, 561, 823, 563, 2467, 568, 1100, 1483, 6604, 585, 2212, 561, 823, 824, 982, 9319, 2673, 3346, 609, 4896, 945, 814, 513, 2013, 540, 2212, 561, 823, 269, 1684, 711, 2671, 1978, 3688, 971, 607, 26814, 610, 22970, 563, 265, 24342, 949, 4268, 676, 1367, 0, 5804, 281, 18266, 4934, 454, 306, 12944, 267, 476, 6860, 2904, 476, 1001, 274, 476, 876, 281, 876, 454, 763, 2165, 8377, 568, 3989, 607, 513, 1293, 540, 476, 1789, 610, 1657, 593, 513, 6310, 4336, 630, 21406, 19483, 2676, 528, 10610, 7136, 12039, 264, 602, 10905, 2597, 454, 663, 4463, 7403, 540, 2043, 269, 634, 2165, 14968, 568, 1031, 547, 4766, 519, 19483, 540, 1004, 945, 2887, 538, 1063, 17324, 543, 3339, 563, 7021, 519, 2250, 1614, 5756, 267, 519, 8377, 2557, 538, 3013, 814, 676, 782, 6589, 6172, 5523, 547, 24666, 17114, 269, 3683, 513, 3791, 540, 4892, 616, 13166, 14968, 543, 1776, 476, 3374, 269, 278, 2600, 616, 17324, 267, 2687, 547, 519, 5767, 5515, 689, 519, 15544, 585, 8376, 6513, 543, 10644, 269, 1230, 14846, 4966, 16620, 519, 834, 342, 3994, 1426, 2437, 3983, 6090, 267, 3668, 540, 3635, 267, 6464, 538, 1426, 267, 543, 713, 610, 602, 9449, 585, 519, 1966, 563, 2252, 891, 2188, 1404, 1022, 1909, 693, 782, 538, 588, 3183, 519, 15435, 540, 3170, 538, 1977, 267, 789, 616, 2933, 1152, 6771, 8069, 543, 4863, 2209, 585, 519, 4514, 3123, 269, 3683, 519, 2250, 476, 1789, 1296, 267, 519, 3044, 13310, 540, 2732, 267, 3635, 543, 2799, 9422, 2069, 10093, 1405, 12193, 519, 1966, 269, 769, 1249, 267, 621, 18387, 1405, 1256, 30281, 621, 1524, 543, 1223, 1256, 581, 7700, 547, 519, 7965, 563, 2414, 2731, 10726, 621, 267, 649, 723, 547, 2307, 1946, 543, 950, 269, 1677, 20559, 519, 4909, 3123, 540, 519, 8377, 15435, 538, 519, 2136, 2276, 267, 649, 786, 991, 547, 979, 1394, 538, 1686, 543, 796, 24160, 922, 20297, 267, 547, 1265, 856, 4010, 950, 621, 782, 3323, 269, 3973, 649, 666, 2307, 621, 1946, 563, 2691, 649, 798, 267, 649, 786, 3605, 602, 519, 8377, 15435, 538, 3013, 568, 9247, 513, 2790, 1072, 1966, 267, 4171, 5817, 3123, 616, 2804, 543, 2797, 563, 4131, 721, 2253, 676, 6313, 519, 5750, 2630, 267, 799, 729, 16432, 538, 476, 1220, 277, 676, 519, 2475, 4741, 585, 8376, 6513, 563, 7021, 7076, 543, 25667, 267, 676, 6520, 281, 2136, 2276, 267, 476, 3422, 271, 268, 1220, 275, 454, 12988, 950, 621, 782, 3323, 454, 763, 5750, 2982, 602, 519, 8377, 543, 14968, 2338, 4371, 11931, 2394, 519, 1974, 476, 3192, 277, 268, 2735, 271, 269, 23985, 1271, 4957, 1063, 519, 25020, 7245, 543, 519, 31144, 7245, 267, 1945, 602, 22755, 1977, 4079, 543, 1453, 547, 13497, 2333, 741, 17811, 6981, 543, 3702, 550, 1560, 3170, 269, 21894, 602, 1689, 729, 267, 621, 781, 1869, 609, 721, 1317, 1977, 22765, 6050, 2094, 602, 942, 723, 11179, 6738, 8273, 563, 8855, 950, 31144, 729, 11221, 538, 476, 2735, 271, 286, 1261, 3357, 538, 1175, 693, 519, 4098, 540, 519, 21748, 540, 476, 2735, 272, 267, 950, 5215, 540, 4892, 10393, 1336, 741, 26038, 1793, 14414, 610, 17515, 269, 3571, 7245, 4166, 3576, 593, 519, 18787, 267, 609, 519, 2832, 540, 8840, 873, 269, 634, 1101, 4583, 6408, 729, 623, 2969, 4596, 910, 519, 12333, 5794, 29853, 2552, 2651, 619, 9257, 563, 4002, 4864, 476, 274, 267, 476, 2735, 272, 267, 519, 9769, 10294, 513, 10880, 267, 5275, 1732, 2324, 2175, 267, 1732, 2628, 543, 513, 476, 3953, 16923, 960, 15553, 269, 2201, 4864, 476, 276, 267, 1739, 519, 623, 2969, 4596, 4600, 262, 30671, 547, 2132, 547, 960, 267, 31144, 17991, 519, 476, 1556, 267, 24833, 11495, 2011, 6808, 27196, 945, 1185, 16053, 519, 1931, 543, 17049, 873, 689, 5313, 3028, 585, 1272, 269, 623, 2969, 4596, 729, 1232, 1068, 1881, 689, 922, 1318, 547, 2099, 4600, 676, 519, 8549, 8534, 9534, 16958, 593, 5239, 476, 2420, 267, 476, 2735, 272, 563, 5804, 602, 942, 27477, 267, 1977, 18787, 723, 3144, 513, 5260, 720, 25588, 547, 519, 1448, 1141, 1152, 476, 278, 2600, 540, 4357, 16904, 616, 9769, 1242, 2221, 267, 543, 1857, 3028, 9769, 5520, 910, 3610, 267, 11923, 267, 5604, 4600, 267, 23001, 16146, 910, 616, 8165, 10876, 547, 1832, 741, 6009, 543, 18787, 563, 2005, 729, 1282, 31144, 781, 1101, 2165, 602, 519, 8360, 21167, 4831, 3357, 883, 7986, 6165, 269, 1452, 941, 519, 4398, 4966, 4171, 2816, 621, 729, 547, 2333, 12434, 585, 519, 2101, 14078, 267, 5631, 676, 10962, 3432, 5725, 267, 2816, 19597, 725, 267, 7142, 936, 5503, 267, 519, 17849, 540, 851, 6066, 4600, 910, 2059, 609, 1148, 995, 543, 678, 3578, 1652, 9769, 1532, 755, 532, 563, 1607, 729, 849, 519, 4098, 540, 519, 834, 23219, 593, 9459, 2437, 519, 834, 23219, 593, 24391, 2437, 519, 2112, 1996, 519, 1004, 540, 12832, 31804, 7699, 543, 4432, 30571, 630, 718, 540, 873, 14100, 1235, 8969, 1652, 18761, 593, 19856, 1645, 998, 519, 10754, 540, 2475, 4872, 264, 543, 513, 5906, 15583, 566, 540, 6937, 1996, 519, 8168, 5742, 270, 18128, 559, 7276, 563, 2026, 1514, 4250, 543, 22584, 4473, 267, 2790, 1072, 23229, 563, 7343, 30068, 267, 865, 1281, 2168, 1072, 269, 4340, 547, 513, 1007, 1353, 689, 19676, 2160, 543, 519, 2160, 12548, 693, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 13891, 622, 3683, 519, 6356, 4369, 540, 14272, 5489, 2135, 454, 293, 2393, 19140, 568, 513, 2259, 602, 6811, 547, 2973, 13802, 689, 519, 1560, 998, 519, 3952, 269, 634, 3952, 616, 24760, 538, 3636, 1216, 585, 827, 476, 1789, 3764, 267, 543, 5820, 899, 11993, 267, 16693, 267, 543, 661, 1186, 558, 6070, 616, 3773, 547, 519, 1216, 547, 5000, 519, 5305, 540, 13802, 689, 519, 22405, 540, 519, 3952, 563, 7212, 713, 2259, 814, 6591, 8560, 538, 2487, 1296, 267, 972, 568, 513, 2603, 540, 7521, 4478, 922, 7145, 269, 2368, 4966, 3409, 602, 519, 2259, 814, 3875, 1072, 2640, 267, 1247, 1866, 8044, 602, 621, 568, 23696, 543, 5732, 5739, 563, 1692, 513, 14272, 5489, 2135, 568, 4675, 2216, 547, 4518, 454, 293, 2393, 19140, 28288, 3409, 602, 519, 2259, 1568, 676, 5373, 13802, 856, 540, 519, 1560, 998, 519, 22405, 538, 519, 3952, 269, 1358, 8044, 602, 519, 3952, 723, 811, 982, 476, 273, 267, 1822, 22405, 602, 616, 4448, 547, 519, 1964, 540, 519, 1560, 267, 543, 676, 865, 1136, 519, 3952, 538, 3636, 1216, 543, 4946, 519, 1318, 5820, 267, 13802, 666, 581, 6569, 689, 519, 1560, 563, 763, 2259, 568, 1767, 547, 948, 30175, 1125, 519, 1560, 543, 2087, 10009, 267, 3056, 547, 2640, 899, 1732, 1648, 2157, 267, 4824, 12536, 267, 543, 1732, 2960, 9355, 563, 763, 15845, 593, 14272, 5489, 2135, 454, 8601, 922, 8560, 267, 972, 568, 2370, 3621, 2963, 602, 3723, 19140, 2965, 1568, 269, 2368, 2090, 723, 3254, 602, 519, 2259, 666, 948, 2087, 3666, 543, 1928, 538, 519, 3952, 267, 855, 972, 568, 2370, 2963, 547, 1489, 922, 946, 538, 19140, 4328, 519, 1560, 563, 1103, 835, 1353, 267, 5171, 941, 4280, 547, 27653, 741, 3952, 538, 513, 19140, 4328, 3070, 585, 476, 1789, 3764, 267, 1614, 2053, 513, 3018, 585, 835, 3923, 269, 2991, 519, 3923, 267, 972, 729, 1100, 1713, 3017, 538, 519, 5171, 685, 2157, 540, 5230, 8407, 3379, 547, 513, 1852, 1895, 945, 1705, 711, 10929, 519, 2126, 563, 5194, 1353, 4951, 602, 3723, 19140, 21181, 267, 799, 616, 5116, 896, 519, 3952, 1247, 12008, 267, 1705, 711, 3648, 2569, 519, 2157, 540, 5230, 8407, 538, 519, 1560, 563, 763, 24093, 540, 14272, 5489, 2135, 454, 4407, 3723, 19140, 568, 3622, 2808, 2922, 267, 972, 616, 930, 4220, 2404, 609, 519, 2259, 269, 634, 3636, 1216, 1031, 538, 3723, 19140, 666, 581, 513, 9960, 2666, 585, 4551, 267, 799, 666, 1291, 547, 5563, 952, 711, 5265, 19345, 269, 3958, 267, 930, 540, 519, 5820, 1031, 538, 3723, 19140, 267, 899, 16693, 543, 11993, 10433, 267, 666, 581, 10792, 593, 519, 2960, 543, 1291, 547, 16698, 610, 17236, 563, 2467, 568, 849, 513, 1981, 540, 18024, 267, 607, 519, 3636, 1216, 1031, 538, 3723, 19140, 666, 2014, 519, 1560, 547, 6336, 12862, 563, 21446, 2510, 547, 14272, 5489, 2135, 454, 2252, 596, 2461, 3168, 585, 2081, 547, 19140, 1518, 519, 1560, 267, 972, 616, 1896, 8925, 547, 3723, 19140, 602, 616, 10930, 543, 811, 2500, 269, 14856, 513, 7059, 2732, 267, 6704, 7899, 540, 1216, 267, 3478, 2614, 3207, 267, 543, 16706, 5781, 616, 782, 2500, 2081, 547, 1489, 519, 1560, 779, 2067, 19140, 2305, 3157, 563, 1103, 1840, 267, 972, 616, 1896, 9360, 543, 2067, 14319, 602, 666, 948, 1489, 19140, 2305, 267, 1519, 5144, 555, 16824, 267, 546, 28888, 542, 3597, 267, 543, 669, 331, 648, 12848, 563, 4407, 3723, 19140, 814, 6591, 8560, 538, 2487, 1296, 267, 972, 568, 2370, 3621, 2963, 547, 1489, 922, 7145, 269, 3958, 267, 519, 2259, 11438, 930, 4220, 267, 1519, 519, 1761, 585, 5563, 543, 2960, 16698, 563, 2252, 596, 2461, 3168, 547, 19140, 1518, 519, 1560, 267, 621, 779, 1655, 547, 6529, 609, 8810, 543, 2922, 2409, 899, 4189, 513, 2635, 2732, 267, 6704, 1216, 267, 543, 16706, 5781, 269, 1635, 5885, 519, 1560, 779, 2067, 19140, 2305, 3157, 267, 596, 666, 948, 1832, 519, 1560, 4881, 5688, 958, 543, 2087, 2949, 1072, 543, 8171, 269, 0, 22134, 14989, 4469, 3233, 10793, 20668, 12810, 454, 288, 476, 274, 268, 2023, 17453, 6989, 13544, 568, 513, 5230, 1673, 14280, 3926, 1031, 585, 17666, 543, 5885, 6517, 267, 18114, 267, 543, 824, 5230, 6472, 269, 898, 5161, 540, 1896, 1114, 2694, 267, 1142, 609, 922, 1378, 1808, 3483, 269, 18833, 519, 2694, 540, 513, 476, 274, 268, 2023, 17453, 6989, 13544, 543, 741, 3252, 666, 948, 596, 547, 5265, 2226, 543, 946, 519, 13544, 9108, 543, 3927, 563, 763, 3490, 6676, 540, 513, 476, 274, 268, 2023, 17453, 6989, 13544, 568, 519, 6366, 267, 14328, 4062, 602, 568, 519, 1292, 5057, 540, 519, 13544, 269, 898, 568, 3335, 1500, 540, 513, 2178, 4496, 971, 607, 5374, 267, 543, 814, 1896, 9475, 538, 621, 602, 616, 1031, 547, 8936, 824, 3334, 547, 519, 13544, 269, 634, 3490, 6676, 849, 5713, 607, 519, 5748, 540, 519, 13544, 267, 3246, 6617, 950, 519, 13544, 568, 538, 946, 563, 763, 17666, 6186, 568, 513, 1279, 4496, 3046, 602, 568, 7923, 547, 519, 3490, 6676, 269, 898, 568, 2966, 547, 12740, 543, 1489, 519, 2597, 540, 519, 6174, 267, 543, 666, 581, 14661, 547, 1585, 15627, 547, 13918, 1114, 7306, 543, 12035, 540, 6472, 269, 634, 6186, 568, 3335, 4448, 547, 513, 17453, 12718, 267, 799, 568, 1031, 547, 6318, 543, 2539, 519, 6186, 563, 763, 17453, 12718, 568, 519, 851, 540, 519, 476, 274, 268, 2023, 17453, 6989, 13544, 602, 568, 1031, 547, 6318, 543, 2539, 519, 17666, 6186, 269, 898, 568, 4448, 547, 519, 6186, 543, 519, 3490, 6676, 267, 543, 568, 4904, 609, 17453, 5714, 269, 1879, 519, 5714, 568, 2046, 28962, 267, 621, 3123, 519, 12718, 547, 8831, 267, 799, 538, 2490, 12651, 519, 6186, 269, 1879, 519, 5714, 568, 5950, 267, 519, 12718, 11731, 267, 16715, 519, 6186, 563, 763, 11896, 568, 513, 1507, 5057, 602, 568, 1031, 547, 1852, 519, 2095, 540, 17453, 5714, 269, 898, 568, 3335, 4092, 593, 519, 3490, 6676, 540, 519, 13544, 267, 543, 568, 1031, 547, 10038, 519, 2604, 540, 519, 5714, 538, 519, 12718, 269, 1635, 14577, 519, 11896, 267, 596, 666, 1852, 519, 3432, 693, 799, 519, 6186, 568, 6659, 610, 22485, 563, 763, 6023, 568, 513, 1279, 4496, 3046, 602, 568, 1031, 547, 16924, 1847, 519, 13544, 269, 898, 568, 3335, 4448, 547, 519, 3490, 6676, 267, 543, 666, 581, 1031, 547, 7903, 610, 7485, 519, 13544, 883, 2990, 269, 634, 6023, 666, 849, 581, 1031, 547, 16924, 6318, 610, 2539, 519, 6186, 267, 4352, 713, 568, 711, 5227, 267, 607, 621, 666, 581, 5906, 563, 763, 14743, 616, 519, 2063, 5057, 540, 513, 476, 274, 268, 2023, 17453, 6989, 13544, 269, 1358, 616, 3335, 1500, 540, 12285, 267, 543, 616, 7923, 547, 519, 3490, 6676, 269, 1358, 616, 1031, 547, 1847, 519, 13544, 883, 2990, 267, 543, 666, 581, 19526, 883, 1747, 950, 519, 13544, 568, 538, 946, 563, 2691, 1210, 513, 476, 274, 268, 2023, 17453, 6989, 13544, 267, 621, 568, 1271, 547, 1246, 3106, 15416, 547, 2327, 602, 519, 13544, 568, 1031, 7157, 543, 9108, 269, 11408, 946, 519, 13544, 593, 513, 6366, 267, 1377, 2627, 267, 543, 1118, 2386, 602, 519, 14743, 616, 19526, 883, 1747, 269, 11408, 1118, 2386, 602, 519, 11896, 568, 14661, 7157, 1354, 1210, 519, 13544, 267, 543, 2760, 3801, 547, 16924, 6318, 610, 2539, 519, 6186, 563, 12234, 267, 621, 568, 1271, 547, 8524, 519, 13544, 5781, 585, 4191, 540, 5957, 610, 3441, 269, 1403, 1022, 2694, 540, 519, 13544, 2408, 547, 581, 12816, 610, 8697, 267, 789, 1058, 581, 8719, 5612, 269, 23299, 547, 798, 865, 1223, 1267, 538, 519, 13544, 711, 8647, 5265, 267, 610, 1256, 8338, 267, 4929, 606, 8009, 563, 3528, 1739, 891, 3106, 15416, 267, 596, 666, 2327, 602, 707, 476, 274, 268, 2023, 17453, 6989, 13544, 568, 1031, 9108, 543, 3927, 269, 18833, 519, 2694, 540, 519, 13544, 543, 741, 3252, 666, 849, 948, 596, 547, 5265, 2226, 543, 946, 519, 13544, 269, 0, 21918, 8614, 784, 3917, 324, 334, 630, 1001, 278, 264, 4080, 972, 729, 3978, 1153, 5208, 538, 22084, 534, 267, 519, 6243, 540, 9705, 267, 538, 476, 1001, 278, 1572, 22084, 534, 24635, 21756, 31105, 269, 9050, 1028, 841, 1218, 267, 945, 9907, 476, 1691, 547, 476, 1428, 1296, 2025, 6690, 267, 5734, 513, 476, 1691, 1296, 8004, 609, 5374, 10612, 267, 11381, 267, 543, 4837, 14569, 585, 835, 543, 513, 3368, 3108, 269, 634, 6408, 729, 26481, 936, 1200, 1560, 543, 1185, 1079, 2620, 11912, 593, 1200, 2212, 269, 1358, 1449, 1881, 547, 519, 7128, 585, 1018, 789, 723, 2944, 607, 519, 10419, 21116, 2907, 6785, 2048, 2889, 339, 1254, 2665, 685, 540, 19565, 2920, 267, 799, 2356, 2285, 1447, 3978, 10751, 547, 6107, 20737, 269, 1924, 267, 789, 3893, 14758, 982, 1079, 1296, 4845, 538, 513, 11174, 6963, 2218, 267, 855, 621, 3366, 547, 2034, 5208, 269, 11114, 18926, 6176, 6796, 630, 1001, 277, 264, 6719, 519, 2487, 1239, 593, 519, 1297, 540, 782, 6107, 5208, 267, 1519, 1153, 5208, 538, 3162, 9705, 267, 799, 729, 476, 2764, 267, 20542, 538, 476, 1001, 274, 269, 20222, 19951, 538, 4789, 543, 12986, 616, 3978, 269, 4340, 547, 519, 15272, 5126, 7194, 630, 14737, 3588, 540, 10456, 267, 476, 1708, 271, 1070, 519, 6871, 540, 2048, 309, 2723, 775, 1996, 519, 1268, 685, 538, 476, 1001, 280, 814, 2799, 519, 1034, 585, 513, 8717, 267, 3379, 609, 824, 2010, 540, 11174, 10963, 269, 20222, 568, 547, 2800, 2576, 9308, 610, 15508, 610, 1223, 581, 1312, 2081, 543, 568, 11451, 9763, 607, 8840, 519, 1876, 543, 1514, 8155, 269, 4935, 267, 11174, 1028, 841, 1218, 945, 8149, 5208, 1223, 581, 9286, 607, 513, 1821, 4800, 1895, 269, 4475, 267, 621, 786, 1865, 875, 543, 1946, 10795, 14038, 616, 4857, 607, 513, 1821, 5050, 1895, 998, 10452, 1079, 6436, 267, 543, 621, 786, 849, 2263, 1018, 2360, 798, 789, 723, 593, 2486, 267, 543, 875, 2486, 20781, 547, 891, 2516, 563, 20329, 5505, 543, 5081, 5505, 723, 1114, 4441, 547, 2697, 1821, 4800, 267, 855, 1079, 3344, 666, 2491, 1946, 10795, 1053, 616, 9286, 607, 1821, 5050, 676, 741, 6436, 269, 589, 1382, 1957, 630, 301, 531, 1695, 1696, 620, 267, 476, 1001, 274, 267, 623, 269, 476, 272, 264, 11130, 602, 1480, 2470, 543, 7803, 21274, 267, 971, 607, 2790, 10108, 543, 5626, 8194, 552, 3052, 17971, 267, 3313, 1821, 5050, 19326, 267, 799, 568, 513, 5626, 1448, 540, 2070, 269, 2201, 519, 824, 1688, 267, 1914, 5505, 2015, 513, 18670, 540, 1514, 8155, 543, 3652, 267, 799, 568, 711, 1175, 6236, 607, 1367, 6411, 855, 849, 519, 1514, 2796, 267, 538, 2474, 540, 10747, 1821, 5050, 19326, 269, 4317, 3652, 543, 9753, 723, 1044, 4957, 936, 942, 267, 543, 789, 616, 13998, 3964, 676, 930, 13539, 267, 971, 607, 4507, 267, 10470, 267, 543, 23328, 630, 295, 1177, 9469, 1696, 620, 267, 476, 1001, 280, 1040, 4317, 3652, 1223, 581, 3710, 676, 519, 2164, 540, 1821, 5050, 19326, 607, 1134, 630, 301, 531, 1695, 1696, 620, 267, 476, 1001, 274, 267, 623, 269, 272, 1040, 4317, 8155, 4268, 689, 1114, 2477, 2094, 1004, 945, 2661, 538, 824, 2477, 723, 1585, 4529, 543, 5054, 269, 9747, 621, 5012, 547, 513, 1297, 540, 3309, 1514, 8155, 543, 3652, 269, 1280, 1383, 267, 7296, 593, 519, 8265, 568, 3339, 538, 519, 5177, 6466, 621, 568, 1821, 5050, 7180, 538, 3162, 9705, 269, 9182, 267, 1914, 5505, 666, 1491, 8833, 6436, 267, 543, 16895, 666, 1491, 2932, 4524, 538, 1931, 547, 2491, 519, 2601, 1946, 11174, 5208, 568, 1821, 5050, 563, 2467, 616, 2185, 1292, 8833, 6436, 950, 621, 2501, 547, 7713, 519, 6107, 5208, 267, 799, 616, 606, 558, 773, 3069, 267, 12250, 606, 558, 773, 3069, 267, 2489, 8833, 3069, 543, 3448, 22975, 3069, 630, 14737, 3588, 540, 5753, 267, 7991, 543, 4317, 6796, 267, 476, 1001, 277, 1040, 1323, 558, 773, 3069, 543, 2489, 8833, 3069, 786, 946, 585, 3137, 540, 513, 10795, 15730, 1895, 269, 1677, 13713, 2446, 631, 30639, 779, 606, 558, 773, 3069, 267, 621, 814, 2947, 2009, 6114, 547, 606, 558, 773, 267, 799, 616, 29077, 267, 5647, 267, 9161, 1143, 267, 18956, 1143, 267, 543, 18326, 269, 1230, 845, 640, 568, 519, 1034, 1455, 3210, 538, 2486, 607, 621, 24693, 519, 2686, 3853, 540, 4742, 14547, 267, 1210, 16048, 1797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3245, 4571, 5336, 599, 267, 811, 1004, 1223, 2097, 547, 519, 23291, 267, 519, 2229, 4847, 519, 4390, 540, 519, 23291, 779, 9205, 5624, 547, 581, 10300, 1386, 269, 9453, 12145, 519, 1297, 540, 8436, 267, 519, 23291, 1223, 711, 1599, 2394, 519, 4832, 563, 1103, 476, 1708, 271, 267, 519, 23291, 729, 6806, 689, 476, 1724, 4728, 547, 476, 2767, 4989, 267, 689, 476, 280, 5239, 547, 476, 273, 5412, 543, 1287, 1586, 689, 476, 1240, 5412, 269, 769, 519, 1739, 2395, 267, 20343, 729, 3908, 267, 585, 1383, 267, 676, 519, 3908, 1297, 540, 1004, 538, 519, 23291, 610, 519, 7333, 593, 1857, 1569, 547, 519, 533, 822, 559, 687, 269, 4935, 267, 538, 476, 1708, 271, 267, 519, 26285, 826, 25089, 4503, 5111, 476, 3445, 2929, 31750, 1813, 547, 3800, 1813, 547, 519, 15435, 269, 3487, 540, 519, 9271, 941, 1287, 11222, 4106, 730, 676, 519, 26285, 826, 4975, 8065, 267, 799, 568, 519, 13653, 540, 519, 23291, 269, 11038, 1489, 729, 849, 2366, 676, 519, 12080, 540, 519, 5113, 563, 763, 26285, 826, 25089, 568, 835, 540, 519, 1034, 10272, 4025, 538, 26285, 826, 267, 533, 10666, 476, 272, 269, 275, 2929, 1004, 1780, 998, 519, 19235, 540, 519, 11452, 6855, 1142, 1032, 663, 269, 1924, 2484, 267, 1034, 1004, 10272, 519, 23291, 538, 519, 1558, 24227, 538, 476, 1001, 280, 267, 950, 476, 272, 267, 27174, 267, 276, 2918, 8436, 10272, 621, 563, 20181, 1633, 27580, 25022, 538, 519, 26285, 826, 25089, 454, 12041, 281, 18981, 1315, 3967, 2098, 5451, 345, 341, 1251, 320, 0, 6369, 16703, 476, 27420, 272, 5398, 2657, 4521, 454, 290, 13072, 18745, 476, 1015, 454, 26765, 2329, 8943, 476, 1220, 3583, 273, 454, 10870, 867, 13541, 700, 19342, 1975, 27247, 14956, 839, 538, 1007, 6885, 454, 20373, 901, 1770, 15109, 1585, 3656, 2152, 1644, 547, 2551, 1072, 269, 901, 1858, 540, 1876, 568, 5266, 1007, 543, 16111, 3384, 543, 9750, 269, 901, 1770, 568, 5097, 7255, 609, 875, 1876, 814, 543, 1058, 4431, 547, 1585, 1072, 21140, 693, 519, 2551, 1377, 269, 1452, 1331, 3557, 4027, 540, 519, 2146, 689, 2669, 630, 1721, 1383, 8506, 4155, 3755, 547, 5957, 513, 10160, 321, 3881, 610, 24743, 264, 543, 2068, 1519, 1312, 3868, 762, 2068, 630, 1721, 1383, 6375, 5314, 267, 31741, 543, 5883, 2068, 17061, 264, 543, 1875, 268, 10919, 27809, 2068, 630, 1721, 1383, 7296, 267, 4568, 267, 8377, 267, 3987, 543, 9025, 2068, 1040, 901, 1770, 849, 15109, 10850, 585, 10442, 2436, 1857, 1072, 4031, 616, 1175, 16666, 7939, 267, 2921, 883, 2272, 519, 3666, 1063, 1857, 1434, 543, 519, 13190, 540, 2043, 563, 22923, 2552, 9084, 17020, 670, 4488, 306, 17020, 476, 275, 476, 1015, 31983, 454, 13425, 707, 670, 4488, 306, 17020, 9295, 2179, 3842, 519, 3171, 525, 2985, 563, 25583, 7201, 12392, 5426, 476, 274, 1641, 454, 7093, 3146, 638, 15363, 4433, 264, 15829, 16703, 476, 1911, 277, 10758, 454, 6369, 16703, 476, 1911, 274, 10758, 454, 268, 7600, 1227, 4983, 543, 6218, 519, 3656, 12512, 11341, 547, 1857, 1072, 563, 268, 19928, 1393, 547, 6209, 4901, 827, 1876, 781, 1909, 538, 1699, 1857, 1072, 4145, 563, 268, 8890, 572, 519, 2924, 4145, 7915, 538, 7939, 585, 519, 1072, 540, 519, 1857, 563, 268, 8890, 572, 538, 3178, 1079, 540, 519, 1880, 1888, 2127, 4988, 538, 519, 1641, 563, 268, 4004, 6510, 3927, 267, 30375, 543, 538, 1603, 563, 14276, 1072, 1876, 607, 7939, 540, 1072, 4220, 693, 519, 2551, 1377, 454, 24066, 6672, 540, 1857, 1072, 7939, 1519, 519, 3666, 1063, 1857, 1434, 543, 1367, 22624, 454, 763, 1739, 3349, 9034, 2478, 519, 3044, 4879, 4247, 585, 713, 1641, 269, 7490, 4063, 713, 568, 513, 3391, 1152, 269, 10495, 4247, 616, 5781, 8242, 267, 1141, 972, 568, 513, 3017, 707, 4804, 6651, 3217, 9551, 775, 563, 347, 1103, 1362, 13891, 622, 1475, 10743, 786, 581, 2838, 547, 1459, 7440, 585, 835, 2427, 540, 513, 7521, 538, 835, 29519, 267, 543, 2838, 547, 7390, 782, 824, 9840, 543, 1683, 3403, 883, 519, 2022, 11546, 321, 622, 5717, 1475, 1789, 1475, 301, 1475, 23149, 2008, 347, 8269, 29193, 7797, 593, 769, 4211, 20199, 13891, 622, 1475, 272, 267, 1822, 1913, 1475, 736, 1475, 301, 1475, 23149, 2008, 347, 10932, 4828, 1475, 274, 267, 1822, 1913, 1475, 2004, 1475, 301, 1475, 23149, 347, 0, 2304, 28075, 340, 3570, 666, 1118, 513, 2731, 1390, 4620, 585, 930, 267, 855, 585, 1082, 1866, 267, 621, 666, 581, 513, 11641, 602, 3123, 11991, 3441, 269, 901, 568, 2523, 3020, 538, 28075, 340, 3570, 14909, 2713, 9249, 563, 23763, 547, 917, 952, 707, 1753, 543, 13452, 616, 19788, 28075, 10224, 553, 267, 543, 1018, 596, 666, 798, 827, 621, 286, 3371, 616, 930, 4277, 28075, 340, 3570, 7226, 5013, 602, 786, 4734, 596, 1134, 26455, 827, 28075, 10224, 553, 543, 741, 5615, 563, 296, 7666, 3570, 2677, 10928, 12389, 13206, 527, 1846, 3657, 16265, 7211, 454, 2791, 949, 5469, 513, 1966, 609, 28075, 10224, 553, 952, 596, 2661, 538, 513, 31210, 2916, 267, 899, 538, 8419, 269, 1358, 849, 2648, 547, 581, 2282, 1216, 267, 865, 513, 10977, 7535, 610, 10720, 949, 849, 4482, 28075, 10224, 553, 563, 296, 7666, 11446, 616, 4411, 15918, 797, 539, 282, 789, 10038, 741, 1560, 2837, 998, 741, 1604, 269, 901, 568, 1946, 789, 1289, 3636, 267, 18519, 2127, 1753, 256, 769, 1249, 267, 952, 5210, 6749, 2630, 513, 1978, 12939, 267, 789, 786, 1831, 22376, 1375, 880, 610, 1799, 9394, 543, 2887, 856, 540, 4054, 563, 296, 7666, 11446, 616, 24549, 5387, 267, 855, 789, 786, 3548, 7786, 543, 25658, 269, 1358, 1034, 2972, 544, 684, 4221, 593, 3762, 267, 5810, 267, 543, 5613, 269, 25052, 616, 2523, 13267, 547, 28075, 10224, 553, 2336, 763, 28797, 540, 606, 28075, 340, 3570, 666, 2014, 3441, 547, 5862, 267, 2523, 593, 6517, 269, 1358, 616, 1634, 547, 4734, 5323, 25940, 10876, 269, 4256, 28797, 849, 11438, 3676, 971, 607, 13687, 7578, 267, 865, 1832, 707, 10130, 2476, 543, 2973, 909, 1022, 5323, 25940, 596, 1265, 563, 2304, 28075, 340, 3570, 568, 12691, 547, 581, 10728, 2509, 513, 1480, 267, 855, 621, 666, 2014, 513, 2603, 540, 3441, 547, 707, 13452, 543, 1753, 269, 1358, 616, 6140, 818, 321, 648, 531, 7068, 267, 799, 1797, 789, 899, 547, 6108, 942, 909, 538, 519, 4054, 269, 769, 513, 8378, 267, 713, 949, 1611, 3141, 940, 2933, 593, 707, 31241, 641, 563, 296, 7666, 11446, 616, 9350, 267, 609, 513, 7874, 29916, 543, 2178, 2792, 1983, 269, 2755, 9038, 666, 581, 16857, 267, 789, 616, 849, 1514, 543, 786, 2661, 2673, 547, 835, 1776, 563, 2691, 621, 779, 942, 547, 2482, 5798, 267, 4775, 28075, 10224, 553, 786, 2007, 3276, 4900, 547, 1832, 873, 2922, 269, 901, 666, 581, 16160, 547, 2427, 19789, 802, 543, 824, 5989, 267, 607, 1134, 607, 547, 1367, 1876, 985, 543, 10651, 563, 7093, 1203, 606, 594, 7666, 3570, 12833, 5235, 454, 30265, 539, 609, 713, 1702, 540, 28075, 340, 3570, 9249, 267, 596, 666, 1118, 2242, 547, 707, 13452, 547, 2061, 28075, 10224, 553, 689, 19101, 707, 1753, 607, 851, 540, 741, 8513, 563, 9359, 676, 14335, 513, 11064, 1472, 707, 13452, 547, 2061, 28075, 10224, 553, 689, 10024, 269, 2142, 2386, 713, 11498, 11895, 607, 1134, 1317, 789, 666, 2007, 18284, 31966, 563, 8448, 23833, 3800, 1331, 9427, 1970, 21212, 2371, 267, 14335, 3529, 22651, 267, 543, 5329, 707, 4677, 1863, 540, 804, 13616, 543, 1426, 29578, 269, 4746, 267, 6445, 538, 1022, 3276, 4900, 602, 596, 5469, 269, 1403, 789, 666, 1406, 1265, 513, 1747, 547, 3276, 992, 610, 513, 2707, 540, 1426, 267, 1034, 28075, 10224, 553, 4465, 1406, 6529, 1472, 563, 2252, 28075, 10224, 553, 616, 2907, 513, 1966, 610, 596, 616, 8572, 547, 946, 23833, 3800, 267, 596, 949, 991, 547, 2308, 606, 28075, 340, 3570, 8851, 3028, 563, 24445, 606, 594, 7666, 3570, 31203, 28154, 3767, 454, 2252, 707, 1753, 10742, 519, 6609, 540, 28075, 340, 3570, 14909, 2713, 9249, 267, 707, 3959, 949, 581, 693, 1981, 585, 3441, 269, 5213, 1406, 1577, 28075, 10224, 553, 1205, 538, 519, 1259, 540, 707, 1272, 2336, 23086, 721, 693, 594, 7666, 3570, 31203, 476, 25134, 2221, 547, 1451, 811, 827, 28075, 340, 3570, 8851, 267, 610, 1205, 513, 1863, 10839, 1631, 547, 1832, 707, 1753, 6870, 256, 0, 1103, 5124, 267, 649, 666, 9192, 8913, 1255, 543, 649, 666, 798, 9226, 24042, 1840, 269, 3371, 267, 649, 666, 1039, 1079, 610, 811, 8913, 1255, 543, 1711, 513, 1007, 24042, 689, 891, 8913, 1255, 269, 2913, 779, 2285, 606, 1383, 543, 1451, 9226, 24042, 1840, 1732, 563, 15893, 14654, 921, 272, 815, 630, 272, 267, 273, 267, 274, 267, 275, 267, 276, 264, 1297, 14654, 921, 273, 815, 630, 1015, 267, 736, 267, 1789, 264, 1297, 14654, 921, 274, 815, 630, 9083, 267, 13078, 267, 28143, 264, 1297, 14654, 921, 815, 1297, 14654, 921, 272, 1341, 1297, 14654, 921, 273, 1341, 1297, 14654, 921, 274, 1820, 28840, 14654, 921, 994, 4415, 713, 1383, 267, 649, 9192, 1614, 8913, 1255, 883, 835, 24042, 269, 634, 3977, 540, 713, 9226, 3009, 786, 581, 899, 2630, 912, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 9083, 267, 476, 13078, 267, 476, 28143, 994, 4131, 779, 798, 1776, 1383, 609, 513, 5569, 24042, 563, 322, 1513, 272, 815, 9497, 13696, 310, 2580, 834, 30560, 1027, 525, 2580, 834, 29423, 328, 8442, 6517, 273, 815, 9497, 288, 8725, 9410, 2580, 834, 303, 528, 3832, 2580, 834, 297, 16331, 541, 8442, 6517, 815, 6517, 272, 1341, 6517, 273, 1820, 6262, 1513, 994, 763, 3977, 540, 713, 9226, 24042, 1840, 3009, 786, 581, 899, 2630, 912, 3488, 13696, 310, 3299, 1412, 30560, 1027, 525, 3299, 1412, 29423, 328, 3299, 1412, 288, 8725, 9410, 3299, 1412, 303, 528, 3832, 3299, 1412, 297, 16331, 541, 5073, 2171, 666, 849, 10956, 519, 4540, 24042, 3688, 538, 1776, 24042, 563, 11133, 1499, 272, 815, 630, 272, 267, 273, 267, 274, 267, 275, 267, 276, 264, 2338, 343, 815, 2338, 272, 2608, 476, 274, 1820, 3799, 13246, 343, 994, 2026, 596, 666, 1294, 2630, 267, 519, 1007, 24042, 786, 581, 2813, 609, 519, 3688, 540, 332, 519, 1101, 24042, 1614, 2053, 563, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 994, 2080, 267, 649, 723, 4121, 602, 267, 649, 666, 1039, 1079, 610, 811, 8913, 1255, 1927, 547, 1711, 1776, 24042, 269, 769, 824, 1913, 267, 649, 666, 9192, 8913, 1255, 267, 649, 666, 798, 9226, 24042, 1840, 563, 5591, 1644, 9708, 269, 0, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 16282, 341, 4512, 267, 476, 18231, 267, 476, 4366, 335, 8198, 31871, 540, 9664, 1475, 18231, 2008, 763, 4473, 543, 1646, 540, 5214, 7998, 676, 5576, 528, 12661, 1067, 267, 14161, 267, 6902, 590, 2466, 17850, 338, 267, 14880, 267, 2073, 1196, 269, 2637, 516, 270, 13528, 281, 3778, 281, 16952, 8447, 14474, 281, 6732, 4528, 281, 5576, 528, 12661, 1067, 267, 14161, 267, 22547, 543, 1646, 540, 5214, 7998, 269, 5507, 267, 1715, 3840, 267, 5839, 17524, 534, 269, 901, 1433, 568, 513, 12093, 540, 606, 1271, 3140, 960, 269, 1280, 326, 13516, 7734, 3096, 1533, 6361, 7308, 19603, 2029, 547, 25274, 18949, 519, 960, 267, 8497, 519, 3312, 3898, 15029, 28472, 20541, 687, 1459, 538, 519, 9907, 2433, 14161, 5576, 528, 12661, 1067, 269, 634, 4473, 543, 1646, 540, 5214, 7998, 676, 5576, 528, 12661, 1067, 267, 14161, 267, 6902, 590, 2466, 17850, 338, 267, 14880, 267, 9664, 912, 763, 22547, 543, 4886, 540, 17667, 11061, 269, 1635, 14161, 5576, 528, 12661, 1067, 4860, 2213, 7160, 267, 12995, 676, 14880, 590, 2466, 17850, 338, 267, 2073, 7905, 540, 11061, 538, 519, 1547, 476, 272, 269, 3163, 269, 4924, 476, 279, 282, 272, 263, 277, 264, 634, 22547, 543, 4886, 540, 17667, 11061, 267, 676, 27334, 299, 590, 6224, 3036, 4041, 12613, 2207, 267, 26993, 269, 667, 1421, 674, 269, 681, 269, 590, 1421, 15428, 543, 12995, 676, 8121, 8025, 7838, 15382, 3951, 4047, 299, 11862, 267, 645, 269, 2480, 24764, 676, 281, 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 ]
[ 3902, 6749, 621, 568, 2009, 602, 519, 2344, 1522, 711, 1256, 991, 28218, 2469, 4464, 547, 3895, 10073, 2223, 1352, 3081, 267, 4946, 602, 6735, 609, 6046, 568, 2693, 547, 581, 2484, 811, 14124, 982, 2242, 547, 519, 1489, 12512, 563, 29012, 267, 1247, 519, 28218, 2759, 814, 21959, 1229, 519, 1034, 32398, 267, 621, 568, 2965, 519, 1447, 1350, 600, 5387, 1875, 20300, 7496, 799, 1459, 519, 7887, 12042, 8896, 547, 5710, 1963, 269, 898, 779, 4502, 15663, 602, 267, 5103, 21230, 21464, 28218, 1450, 1734, 267, 1875, 1606, 6897, 5710, 1963, 723, 2943, 547, 21707, 3648, 563, 5723, 27345, 5990, 27483, 295, 3036, 454, 305, 659, 3559, 5244, 525, 568, 513, 28479, 766, 19784, 543, 5299, 23116, 267, 609, 6791, 538, 519, 6052, 543, 5113, 4610, 269, 2701, 568, 513, 1279, 6066, 23784, 547, 24997, 6052, 10312, 12139, 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 ]
[ 12818, 267, 585, 646, 729, 513, 21705, 812, 543, 21787, 2696, 811, 982, 1082, 1848, 630, 10468, 1335, 11672, 476, 278, 281, 273, 264, 6153, 3401, 3295, 2933, 609, 2298, 1004, 540, 8699, 563, 2108, 3383, 519, 3774, 729, 8737, 593, 519, 8938, 1922, 604, 628, 1554, 540, 4432, 592, 267, 538, 15823, 26690, 2395, 269, 630, 10468, 1335, 11672, 476, 277, 281, 1428, 264, 898, 779, 693, 713, 1448, 602, 1082, 3401, 1118, 513, 3978, 12161, 269, 634, 960, 3884, 1406, 827, 2679, 6821, 267, 621, 779, 827, 519, 1004, 540, 2696, 269, 8490, 519, 5939, 568, 827, 1004, 267, 711, 17633, 269, 3026, 1335, 11672, 6785, 519, 960, 7012, 1406, 8737, 2394, 519, 2749, 729, 2407, 540, 1004, 269, 634, 6821, 941, 3710, 547, 4196, 519, 1004, 267, 711, 519, 1004, 547, 4196, 519, 6821, 269, 3026, 1335, 11672, 2919, 513, 1544, 547, 1065, 641, 3634, 519, 2749, 269, 630, 10468, 1335, 11672, 476, 1556, 281, 272, 264, 1358, 9976, 519, 1004, 945, 8067, 1229, 547, 1847, 883, 13243, 269, 630, 10468, 1335, 11672, 476, 1556, 281, 273, 264, 1284, 1058, 968, 321, 1652, 892, 1346, 945, 968, 342, 3739, 569, 2709, 2933, 3034, 4263, 713, 1448, 519, 14763, 540, 2696, 941, 7142, 547, 16153, 713, 729, 2696, 779, 960, 269, 968, 5445, 9228, 602, 713, 960, 729, 2944, 676, 938, 2696, 1848, 630, 10468, 1335, 11672, 476, 277, 281, 1626, 994, 763, 1004, 540, 2696, 9976, 1018, 2696, 5280, 873, 9585, 269, 630, 10468, 1335, 11672, 476, 1321, 281, 6246, 264, 968, 5445, 6035, 1390, 24279, 543, 556, 14765, 5367, 267, 585, 2696, 1185, 1500, 873, 556, 329, 4069, 609, 1390, 7772, 1848, 634, 960, 3884, 1406, 8737, 2394, 649, 8661, 513, 2816, 1134, 1673, 821, 563, 2108, 4517, 519, 7772, 540, 13243, 729, 4862, 7192, 541, 1055, 3034, 18800, 338, 585, 8490, 519, 8003, 281, 7689, 476, 274, 1107, 634, 27067, 540, 30767 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7162, 353, 14098, 506, 7162, 484, 28440, 2633, 504, 11111, 7162, 501, 5936, 490, 18892, 2633, 369, 7162, 484, 2633, 373, 17775, 267, 7162, 501, 17775, 2633, 366, 11695, 363, 11111, 29334, 14098, 350, 17775, 2633, 504, 14098, 364, 7162, 369, 18892, 11695, 371, 14098, 480, 23371, 7162, 363, 11111, 7162, 359, 31073, 2633, 355, 17775, 2633, 370, 14098, 353, 7162, 484, 28440, 2633, 504, 11695, 363, 11111, 7162, 369, 18028, 499, 14098, 372, 14098, 504, 11695, 363, 11111, 7162, 359, 31073, 14098, 354, 28440, 18028, 499, 23371, 14098, 480, 2633, 504, 23517, 21999, 17775, 23517, 2633, 355, 31073, 7162, 364, 14098, 373, 18028, 366, 23517, 7162, 484, 2633, 373, 17775, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1144, 14194, 1203, 675, 12043, 267, 4839, 4221, 6386, 267, 610, 1256, 5691, 4641, 2609, 267, 4589, 666, 4497, 3988, 538, 3209, 2081, 602, 2992, 938, 9687, 2078, 609, 2029, 543, 2239, 780, 9654, 269, 12634, 6201, 543, 8892, 19648, 692, 288, 269, 10765, 3718, 540, 8074, 454, 13146, 12326, 971, 607, 22216, 773, 623, 1845, 339, 781, 1849, 1442, 1740, 11416, 3126, 267, 5981, 24806, 262, 9650, 11898, 15766, 725, 2835, 267, 543, 25303, 32762, 781, 3690, 5471, 15844, 13371, 6542, 519, 11972, 9029, 540, 27164, 1922, 583, 22618, 543, 17088, 5309, 330, 28697, 5708, 269, 24167, 891, 1568, 2488, 3407, 4030, 883, 875, 4207, 4589, 3082, 5929, 21050, 525, 547, 2232, 10296, 2152, 4143, 547, 2221, 781, 3988, 780, 289, 269, 21023, 532, 8892, 3763, 906, 454, 19185, 6619, 267, 1896, 2188, 2303, 602, 1719, 538, 27164, 1922, 583, 22618, 543, 17088, 5309, 330, 28697, 5708, 786, 2611, 7347, 269, 21826, 7760, 538, 5841, 4987, 267, 17105, 7071, 585, 2825, 6940, 267, 543, 2810, 4656, 540, 1514, 8635, 1683, 15792, 535, 617, 1457, 585, 19511, 1650, 339, 25527, 5275, 547, 2263, 12905, 4798, 998, 519, 7828, 540, 23019, 5708, 269, 1306, 938, 1158, 5170, 547, 2981, 267, 865, 1932, 786, 519, 7706, 540, 28697, 5708, 267, 4180, 922, 10083, 543, 21755, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6930, 492, 487, 27973, 547, 9101, 519, 8723, 286, 9462, 492, 487, 454, 10673, 1405, 1175, 1224, 827, 13858, 2833, 1765, 299, 25893, 5990, 300, 256, 2311, 18521, 1901, 18740, 16527, 267, 4092, 693, 476, 28656, 276, 661, 631, 12637, 5448, 589, 557, 267, 27118, 8583, 267, 11404, 267, 649, 2811, 5356, 2247, 1532, 2056, 267, 2295, 1790, 15929, 9101, 4055, 9035, 596, 4465, 1405, 7340, 256, 3245, 12636, 268, 1154, 1782, 16897, 4798, 547, 2247, 1532, 17344, 1782, 1414, 30235, 13410, 267, 649, 4312, 3893, 1945, 585, 3025, 563, 12812, 1934, 547, 1433, 707, 20605, 1995, 715, 8582, 256, 29836, 358, 6930, 498, 494, 6930, 504, 359, 454, 292, 2675, 1901, 11623, 723, 1831, 5393, 2442, 538, 2487, 1296, 585, 741, 2189, 4999, 540, 26497, 267, 16542, 267, 543, 1966, 9010, 269, 769, 513, 2428, 9917, 961, 267, 9101, 11623, 616, 2168, 7045, 3756, 1141, 5716, 616, 19526, 538, 513, 4055, 543, 1590, 1265, 10881, 267, 4194, 13410, 267, 543, 2347, 2591, 547, 6038, 9101, 269, 1452, 3756, 3335, 723, 1808, 4798, 543, 1650, 6050, 267, 799, 8591, 547, 519, 10761, 543, 6278, 563, 3080, 540, 519, 1292, 4128, 585, 519, 3395, 8560, 540, 9101, 11623, 568, 519, 2647, 3099, 540, 4798, 2139, 269, 6787, 596, 2811, 883, 2022, 268, 777, 32565, 7653, 267, 12638, 13655, 267, 610, 9702, 2389, 1335, 539, 740, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14303, 549, 6363, 583, 22618, 22230, 19342, 623, 6064, 623, 3674, 257, 607, 851, 540, 834, 11227, 1315, 25491, 1299, 23618, 633, 1315, 17721, 15766, 2209, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2376, 1476, 539, 3130, 519, 1259, 1004, 2661, 269, 1280, 1383, 267, 1004, 689, 519, 4639, 1419, 979, 547, 9059, 543, 519, 2634, 960, 538, 5607, 610, 519, 5664, 5101, 543, 31705, 268, 951, 320, 269, 9137, 32700, 286, 901, 27862, 1082, 1004, 779, 2729, 607, 789, 1205, 547, 1451, 827, 824, 4654, 267, 5389, 267, 4529, 543, 1114, 2081, 540, 2324, 689, 741, 1378, 2197, 269, 9956, 15248, 16077, 476, 272, 26657, 286, 1547, 9137, 2986, 634, 286, 769, 1840, 547, 1382, 1557, 713, 267, 593, 513, 9962, 1377, 621, 949, 849, 4324, 824, 2477, 269, 1403, 2576, 7575, 13383, 585, 960, 267, 621, 568, 2356, 1317, 741, 5578, 568, 2838, 972, 269, 1677, 9414, 267, 11923, 543, 24930, 1419, 1847, 547, 960, 538, 10506, 538, 2376, 1476, 539, 3130, 824, 2477, 950, 972, 568, 513, 17732, 267, 865, 713, 568, 1382, 1557, 267, 1360, 3407, 547, 519, 1747, 789, 1847, 547, 269, 2986, 634, 286, 594, 1131, 4061, 8044, 602, 4352, 972, 616, 11393, 540, 519, 1699, 7678, 547, 5013, 2661, 543, 960, 13383, 267, 789, 616, 26788, 19042, 676, 519, 5383, 269, 898, 666, 10802, 1004, 779, 2729, 543, 2376, 2729, 540, 519, 1946, 729, 2500, 1004, 538, 1476, 539, 3130, 519, 2477, 602, 789, 1847, 547, 269, 1547, 1306, 596, 666, 1294, 538, 519, 1557, 267, 519, 5013, 6379, 20410, 5856, 11099, 972, 616, 811, 2640, 865, 519, 1557, 568, 21678, 2509, 713, 6644, 267, 4758, 811, 5383, 982, 11393, 269, 634, 6644, 568, 1360, 2312, 267, 543, 2376, 540, 519, 7368, 538, 4828, 25925, 4762, 32268, 519, 3932, 267, 543, 519, 1560, 540, 519, 1557, 9356, 713, 6644, 865, 972, 786, 581, 1100, 10539, 950, 2576, 14509, 621, 269, 4033, 18467, 547, 8382, 519, 7726, 269, 901, 568, 711, 547, 2303, 602, 713, 1505, 568, 519, 1152, 1259, 547, 2626, 713, 1826, 540, 2243, 563, 2467, 1223, 581, 824, 2081, 269, 1280, 1383, 267, 930, 1004, 18973, 547, 2376, 540, 519, 2328, 1079, 1560, 9433, 910, 835, 593, 519, 5383, 543, 1776, 593, 519, 11393, 267, 1287, 538, 519, 3932, 1533, 799, 835, 29387, 338, 519, 4828, 634, 28414, 25925, 824, 269, 1411, 666, 798, 713, 267, 855, 621, 666, 1413, 693, 3787, 9642, 952, 596, 2328, 827, 2376, 1476, 539, 3130, 873, 8449, 267, 855, 1287, 2161, 972, 616, 811, 540, 835, 982, 519, 827, 18295, 20410, 824, 256, 589, 3932, 666, 581, 15931, 569, 2262, 539, 547, 2376, 1476, 539, 3130, 1118, 713, 960, 267, 855, 602, 568, 513, 1164, 1377, 5578, 602, 1082, 10457, 798, 711, 723, 269, 1411, 1223, 2328, 1152, 827, 519, 1946, 729, 519, 1025, 6308, 330, 686, 1122, 2500, 5383, 610, 1152, 540, 519, 1476, 539, 3130, 827, 11393, 543, 8044, 602, 835, 27723, 26788, 2074, 519, 824, 269, 1717, 267, 519, 875, 1281, 1459, 16664, 538, 957, 1249, 602, 519, 2243, 3096, 1412, 719, 933, 662, 262, 610, 1412, 3467, 262, 568, 11021, 602, 972, 616, 1312, 2640, 543, 1476, 539, 3130, 19363, 269, 634, 4324, 540, 1418, 2358, 707, 5413, 19319, 1557, 607, 11609, 538, 1909, 7408, 713, 3992, 568, 540, 519, 267, 602, 676, 3168, 693, 1312, 5011, 267, 596, 786, 723, 811, 2093, 547, 16540, 1547, 1656, 11932, 267, 707, 6644, 568, 875, 1281, 1459, 16664, 476, 272, 6429, 476, 276, 267, 2312, 543, 713, 568, 1476, 539, 3130, 267, 10630, 538, 1806, 519, 1557, 2073, 799, 568, 540, 519, 267, 7059, 547, 540, 31332, 7408, 2992, 543, 1489, 707, 6644, 269, 589, 2203, 2626, 585, 2376, 267, 713, 1557, 786, 581, 11540, 16172, 865, 4585, 713, 2230, 267, 610, 1129, 909, 1210, 519, 543, 519, 2634, 1106, 593, 2376, 540, 519, 519, 1318, 547, 581, 711, 604, 539, 950, 972, 616, 10311, 547, 519, 3135, 269, 2986, 715, 16197, 545, 3600, 1749, 286, 3767, 596, 666, 723, 513, 2259, 269, 8347, 547, 2626, 713, 5413, 19319, 1557, 2243, 281, 2859, 543, 811, 1053, 616, 7446, 547, 1353, 693, 12621, 543, 9945, 538, 540, 519, 4914, 2477, 563, 2710, 519, 4828, 25925, 543, 27596, 4762, 32268, 2640, 540, 4974, 13383, 29387, 519, 2376, 1476, 539, 3130, 19363, 286, 589, 2203, 2626, 585, 4828, 634, 28414, 1977, 543, 27596, 4762, 32268, 267, 713, 1557, 786, 581, 11540, 16172, 865, 4585, 713, 2230, 267, 610, 1129, 909, 1210, 519, 1106, 593, 519, 1318, 547, 581, 711, 604, 539, 950, 972, 616, 10311, 547, 519, 3135, 269, 13724, 707, 1603, 6060, 3533, 269, 5620, 596, 1336, 713, 2985, 3730, 286, 1403, 865, 596, 949, 581, 5461, 538, 938, 1283, 9513, 1603, 552, 20486, 8206, 634, 2835, 616, 18991, 2854, 543, 616, 1175, 607, 789, 2161, 593, 2376, 540, 519, 519, 3382, 910, 513, 1900, 8386, 9912, 3391, 269, 594, 3810, 4363, 873, 256, 1948, 343, 320, 271, 282, 5851, 24843, 23263, 28568, 16497, 24843, 23263, 1520, 2779, 720, 2598, 7349, 720, 4828, 7689, 269, 4239, 476, 6349, 267, 476, 1704, 476, 1321, 281, 1321, 6751, 563, 2791, 616, 2469, 547, 1382, 1557, 1776, 2197, 547, 1353, 269, 9137, 2986, 634, 32700, 286, 1411, 1131, 899, 547, 798, 513, 851, 6066, 2816, 1247, 596, 616, 4974, 267, 865, 596, 1616, 547, 2307, 513, 3659, 945, 2729, 972, 585, 269, 5181, 476, 1001, 278, 910, 11020, 10445, 532, 543, 9059, 543, 519, 12020, 606, 4828, 269, 4239, 476, 4905, 267, 476, 1704, 476, 6860, 281, 3953, 6751, 269, 594, 2366, 596, 606, 2376, 540, 519, 1476, 539, 3130, 1557, 2243, 2063, 11016, 543, 4280, 596, 547, 2097, 909, 609, 513, 1544, 547, 13081, 281, 10748, 7480, 543, 16359, 15465, 2626, 519, 2243, 269, 901, 729, 519, 2376, 1557, 2243, 281, 634, 1655, 1259, 547, 23206, 13081, 281, 10748, 7480, 543, 16359, 15465, 769, 3031, 1431, 1174, 269, 5564, 24676, 5029, 31907, 543, 2376, 540, 519, 1476, 539, 3130, 9177, 4828, 269, 4239, 476, 4905, 267, 476, 1704, 476, 6860, 281, 1556, 6751, 269, 5564, 24676, 5029, 31907, 543, 9177, 4828, 281, 13724, 596, 6060, 585, 28568, 4828, 1603, 676, 4974, 2203, 3594, 269, 18903, 286, 11020, 10445, 532, 543, 2376, 1476, 539, 3130, 12020, 606, 12335, 1459, 16664, 538, 957, 4828, 269, 5675, 513, 19080, 15048, 563, 16240, 606, 2376, 28568, 4828, 10390, 269, 14645, 543, 5299, 282, 28568, 321, 28854, 476, 1001, 272, 268, 1001, 278, 2353, 2924, 11603, 258, 343, 320, 271, 3248, 24246, 4828, 6732, 4258, 777, 910, 634, 15080, 540, 32700, 630, 341, 8721, 264, 1923, 16679, 9142, 454, 2710, 3733, 14581, 1280, 2725, 5131, 4569, 910, 634, 15080, 540, 32700, 281, 12729, 26671, 540, 1977, 3778, 454, 22261, 476, 736, 267, 476, 1001, 278, 9137, 540, 519, 1476, 539, 3130, 2676, 13981, 547, 3367, 543, 3503, 281, 1548, 3194, 32672, 1023, 269, 5753, 1451, 547, 946, 6698, 267, 9256, 741, 5711, 1893, 267, 5961, 267, 1820, 267, 543, 1404, 883, 513, 17396, 6404, 5420, 543, 2870, 543, 2376, 14379, 10096, 538, 513, 3099, 540, 2081, 269, 3245, 741, 3355, 2833, 543, 4828, 634, 28414, 543, 27596, 4762, 32268, 4205, 609, 4079, 267, 1453, 2253, 547, 1224, 1913, 267, 4393, 4484, 1606, 895, 1894, 543, 16565, 8101, 1702, 540, 519, 2376, 540, 519, 21229, 12185, 1062, 269, 1306, 789, 3136, 547, 1451, 267, 1453, 5051, 19597, 622, 713, 1344, 883, 3270, 602, 1450, 585, 13128, 640, 543, 21711, 538, 875, 1281, 12335, 538, 957, 476, 272, 6429, 476, 276, 267, 2542, 543, 1603, 269, 9182, 2542, 543, 1603, 11601, 568, 12497, 1242, 1732, 607, 513, 11095, 27795, 982, 607, 606, 782, 11399, 5991, 5847, 7613, 269, 1809, 519, 2702, 547, 1224, 543, 2376, 540, 519, 2328, 1281, 711, 1020, 6923, 267, 1510, 6297, 4058, 543, 6044, 269, 5753, 991, 2834, 543, 3742, 4205, 609, 1820, 269, 16930, 5759, 2838, 585, 634, 28414, 4762, 32268, 2542, 543, 2376, 540, 519, 1476, 539, 3130, 1603, 2097, 689, 7525, 2833, 609, 5711, 543, 2634, 2854, 1893, 269, 23800, 538, 891, 2038, 1296, 2253, 547, 5581, 519, 10054, 543, 6788, 827, 4742, 2148, 622, 543, 2285, 1453, 519, 8404, 547, 960, 4724, 1565, 547, 1224, 543, 2328, 269, 9137, 2986, 634, 32700, 256, 3245, 891, 2833, 1453, 1451, 602, 2542, 543, 1603, 616, 3407, 2645, 602, 786, 948, 873, 798, 1082, 1919, 538, 1272, 563, 763, 4098, 1296, 630, 19689, 998, 9251, 264, 4634, 538, 519, 1101, 1906, 3275, 540, 1272, 267, 1453, 2253, 547, 4603, 609, 1893, 269, 8479, 9002, 1118, 4992, 602, 708, 10028, 519, 18565, 543, 18819, 540, 2937, 2911, 282, 789, 1224, 17267, 543, 11132, 7215, 267, 543, 789, 2253, 547, 12314, 3280, 9696, 4749, 4862, 1948, 5611, 282, 1913, 1948, 5611, 282, 609, 741, 1201, 5166, 338, 630, 289, 17064, 476, 1960, 277, 1040, 1358, 10508, 538, 6947, 547, 5432, 795, 24943, 543, 30053, 267, 1404, 2059, 538, 3756, 971, 607, 32708, 8584, 1532, 5622, 543, 1273, 8584, 2275, 820, 267, 543, 9059, 2634, 13861, 3615, 971, 607, 4604, 2835, 543, 9904, 7161, 538, 741, 1404, 269, 3245, 891, 7415, 20297, 1453, 1451, 547, 2376, 540, 519, 267, 946, 513, 3099, 540, 6698, 269, 769, 519, 22984, 540, 11543, 9744, 609, 891, 3090, 1949, 267, 1453, 10536, 998, 4205, 609, 1866, 519, 5813, 602, 1808, 5686, 540, 1909, 7436, 1948, 5611, 282, 1820, 1948, 5611, 282, 849, 666, 2099, 10096, 269, 2311, 1101, 1453, 786, 946, 519, 2168, 543, 3308, 10291, 4478, 1820, 547, 3313, 1018, 1945, 3081, 269, 1809, 607, 789, 1020, 606, 1620, 540, 519, 21229, 12185, 6240, 267, 1453, 2253, 547, 1184, 5022, 267, 14377, 873, 883, 1476, 539, 3130, 267, 4992, 267, 543, 1921, 713, 1344, 609, 513, 1634, 2495, 269, 3194, 4828, 256, 4014, 621, 949, 3100, 607, 1498, 930, 1453, 10536, 891, 24300, 4012, 1227, 610, 593, 741, 1378, 267, 2090, 2303, 602, 789, 616, 519, 18689, 25808, 540, 2376, 9645, 267, 1498, 22488, 543, 13016, 267, 2937, 5583, 543, 6044, 630, 291, 584, 7219, 476, 3422, 277, 282, 1323, 8663, 476, 2735, 277, 1040, 1548, 713, 1797, 568, 602, 1100, 835, 3450, 1505, 610, 1935, 568, 2693, 547, 581, 519, 1034, 2500, 585, 782, 1453, 630, 1805, 4459, 1633, 476, 1960, 275, 1916, 305, 1430, 267, 1434, 3610, 3142, 883, 1382, 1557, 267, 1404, 513, 3099, 540, 3450, 2994, 602, 666, 7854, 519, 1390, 4763, 540, 1453, 538, 3506, 269, 20056, 550, 6044, 13976, 593, 1018, 1453, 2907, 917, 267, 543, 2376, 540, 519, 666, 798, 267, 543, 2488, 1702, 267, 1983, 267, 543, 8741, 1431, 585, 15400, 1565, 269, 5753, 991, 547, 1451, 711, 1152, 519, 2930, 1983, 540, 2542, 543, 1603, 855, 849, 875, 547, 946, 891, 2645, 547, 1732, 741, 3206, 543, 7744, 630, 10468, 3861, 476, 1960, 279, 1040, 634, 2582, 1034, 1271, 2534, 585, 2679, 891, 24300, 543, 1983, 1898, 585, 2542, 1967, 5526, 547, 581, 2542, 16965, 547, 1453, 630, 11039, 338, 476, 2735, 276, 282, 22084, 267, 11709, 594, 329, 345, 754, 334, 1941, 267, 19994, 5586, 337, 7236, 476, 1960, 276, 1040, 2986, 3776, 12624, 338, 262, 25052, 256, 4400, 7779, 1433, 2542, 4386, 950, 1453, 1745, 14156, 5150, 630, 289, 639, 11709, 594, 329, 345, 754, 334, 1941, 476, 1960, 276, 282, 22084, 1696, 620, 269, 476, 1960, 278, 264, 543, 616, 3742, 5171, 538, 2542, 630, 19669, 327, 32231, 1696, 620, 269, 476, 1960, 275, 1040, 32700, 256, 1306, 6362, 16762, 543, 25107, 2055, 538, 1507, 31228, 5468, 5526, 547, 1860, 1453, 781, 6863, 543, 1459, 14799, 16664, 538, 957, 476, 272, 6429, 8223, 540, 2984, 630, 298, 541, 933, 527, 12984, 1731, 476, 1960, 277, 1916, 14399, 949, 2911, 827, 519, 5961, 267, 1427, 749, 519, 2376, 1650, 267, 1865, 741, 5172, 3527, 267, 543, 7662, 2789, 556, 1348, 902, 269, 898, 568, 519, 2911, 602, 27788, 519, 1650, 1504, 2542, 602, 3947, 621, 1379, 267, 4543, 1453, 547, 8115, 1018, 568, 538, 12335, 16664, 476, 276, 267, 519, 1650, 543, 741, 1378, 2729, 630, 291, 1157, 8657, 8055, 476, 1960, 275, 282, 16176, 1696, 620, 269, 476, 1960, 276, 1040, 16176, 630, 1960, 272, 264, 814, 4330, 891, 2010, 540, 7391, 607, 632, 935, 3667, 783, 1242, 1893, 538, 799, 3610, 949, 16578, 2362, 7400, 3206, 676, 3001, 2833, 538, 2984, 689, 1018, 519, 1453, 949, 1294, 538, 4395, 540, 873, 547, 1018, 789, 666, 4952, 269, 5753, 849, 991, 4316, 547, 2259, 1018, 789, 4312, 4121, 827, 1820, 609, 741, 9905, 543, 593, 741, 1378, 269, 5525, 2303, 602, 519, 2168, 11460 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 4968, 1296, 910, 590, 841, 290, 1251, 616, 519, 10583, 3044, 581, 31600, 540, 713, 2245, 563, 763, 834, 290, 1251, 4826, 11833, 257, 729, 8547, 538, 476, 15094, 271, 593, 670, 4954, 11312, 1467, 6816, 543, 621, 781, 1463, 1232, 754, 656, 519, 834, 305, 5819, 595, 1251, 962, 25638, 11833, 257, 729, 1759, 538, 29154, 327, 585, 5176, 476, 1220, 1296, 269, 4438, 519, 3735, 476, 5197, 271, 781, 10348, 560, 1144, 630, 290, 984, 327, 264, 729, 1753, 547, 2101, 3486, 2621, 910, 2034, 1152, 547, 21582, 525, 538, 4789, 607, 513, 586, 778, 1154, 28379, 269, 634, 25846, 312, 290, 568, 1631, 1759, 538, 9061, 6409, 523, 2066, 519, 3771, 13118, 563, 290, 1251, 4498, 13118, 23217, 5205, 519, 2245, 540, 22892, 609, 590, 841, 290, 1251, 1759, 538, 5101, 12113, 787, 267, 595, 913, 590, 9430, 8630, 538, 29154, 327, 267, 3933, 330, 560, 1144, 7345, 590, 9430, 11833, 538, 3933, 330, 560, 1144, 2073, 634, 25220, 962, 25638, 8293, 611, 1258, 538, 670, 4954, 11312, 1467, 543, 519, 9576, 595, 1251, 962, 25638, 11833, 538, 9061, 6409, 523, 269, 11569, 835, 540, 519, 1158, 781, 3056, 1036, 3430, 553, 834, 290, 1251, 10432, 257, 568, 2196, 1169, 1079, 1296, 689, 9061, 6409, 523, 19788, 606, 7127, 540, 909, 547, 476, 4335, 16996, 910, 713, 2680, 729, 2196, 676, 3798, 23135, 2296, 540, 590, 841, 290, 1251, 538, 476, 1220, 273, 563, 292, 9536, 773, 2296, 18248, 454, 1432, 798, 596, 798, 1282, 519, 5162, 286, 910, 18771, 581, 4986, 8345, 256, 910, 654, 305, 32670, 256, 2336, 7628, 519, 17909, 540, 938, 9721, 5162, 1082, 1004, 2253, 6643, 609, 803, 676, 6031, 834, 1432, 798, 596, 798, 1282, 519, 5162, 286, 910, 18771, 581, 4986, 8345, 10590, 610, 834, 2791, 1590, 581, 18979, 9602, 693, 713, 942, 540, 519, 1032, 10590, 654, 305, 32670, 910, 4270, 4986, 1223, 581, 2417, 689, 519, 5168, 2807, 1348, 593, 543, 1265, 856, 1946, 8627, 1773, 4868, 8345, 693, 590, 841, 290, 1251, 8627, 0, 5228, 22816, 5406, 776, 267, 11300, 12780, 21922, 270, 18704, 25575, 833, 17821, 454, 268, 562, 269, 634, 5250, 540, 5738, 2873, 282, 1025, 3563, 532, 563, 268, 562, 269, 634, 4527, 540, 5738, 2873, 563, 5228, 519, 717, 26214, 4528, 540, 519, 20985, 4139, 9218, 540, 2296, 454, 268, 562, 269, 634, 1533, 540, 5627, 5738, 2873, 267, 610, 519, 1184, 676, 799, 5738, 2873, 616, 4646, 563, 5228, 634, 11416, 9218, 543, 20676, 31638, 454, 268, 562, 269, 634, 5250, 540, 5738, 2873, 282, 5738, 1709, 282, 513, 1297, 540, 5738, 2873, 610, 6926, 2125, 267, 607, 540, 519, 2960, 538, 930, 3676, 282, 849, 267, 513, 5738, 7781, 610, 15485, 344, 2783, 282, 10637, 563, 5228, 6478, 15187, 476, 274, 269, 271, 14645, 476, 1220, 277, 676, 23134, 2160, 269, 2353, 2924, 11603, 563, 268, 562, 269, 519, 5250, 540, 5738, 2873, 538, 610, 9944, 519, 2960, 454, 28989, 267, 1100, 552, 1399, 332, 3098, 1336, 269, 0, 24404, 2350, 27198, 2974, 4725, 16210, 609, 15244, 540, 3109, 593, 519, 2627, 543, 519, 7916, 18084, 936, 519, 9221, 269, 10705, 1572, 834, 306, 969, 1218, 540, 519, 2991, 5158, 2437, 2974, 4725, 26385, 941, 5116, 538, 519, 19772, 540, 519, 631, 16244, 543, 941, 5497, 547, 581, 22063, 602, 1131, 4012, 1227, 2097, 547, 1272, 543, 798, 1022, 25287, 519, 631, 16244, 1522, 581, 1572, 2390, 547, 1685, 538, 519, 1310, 5158, 269, 1715, 8003, 267, 476, 1240, 628, 19092, 563, 276, 476, 26528, 257, 1535, 476, 273, 4840, 292, 5118, 1014, 1884, 1172, 885, 616, 575, 4768, 656, 3975, 547, 581, 8076, 543, 689, 519, 1974, 7150, 269, 2353, 540, 938, 13742, 2097, 609, 513, 25890, 540, 24956, 30008, 563, 16485, 519, 1234, 548, 638, 626, 454, 19136, 22312, 256, 12984, 281, 1269, 9610, 271, 3767, 281, 1269, 10384, 2004, 260, 5510, 2336, 31936, 1744, 6235, 1299, 30047, 454, 307, 516, 9778, 540, 519, 2622, 3203, 604, 716, 20128, 2775, 912, 24404, 2350, 27198, 1166, 2532, 609, 20425, 8405, 543, 513, 9043, 540, 24116, 593, 2901, 2427, 563, 1607, 6037, 1075, 550, 5682, 808, 1228, 18190, 2511, 9633, 568, 10646, 762, 676, 519, 32668, 4082, 267, 851, 539, 17534, 267, 31732, 24851, 5023, 609, 3376, 5580, 9067, 543, 519, 5347, 11132, 7077, 11926, 883, 12424, 539, 24814, 4064, 896, 6094, 569, 818, 3481, 8202, 563, 26123, 12266, 13742, 5493, 22863, 454, 763, 1686, 540, 30143, 4422, 1394, 5215, 540, 1296, 269, 634, 23573, 267, 585, 1383, 267, 6257, 519, 2259, 540, 606, 2002, 532, 519, 2212, 543, 1560, 609, 3282, 269, 634, 1034, 4583, 4137, 2404, 609, 30143, 729, 7581, 641, 21358, 23446, 267, 519, 2063, 10348, 540, 5527, 267, 945, 729, 7074, 585, 1200, 5578, 538, 1818, 543, 1210, 30143, 269, 17214, 689, 4563, 1666, 5306, 609, 513, 9246, 30735, 545, 3090, 547, 835, 2427, 267, 3504, 21072, 1031, 5704, 2299, 20077, 5493, 22863, 547, 20836, 519, 23416, 585, 3750, 17539, 269, 5664, 8003, 454, 15697, 10918, 585, 7366, 540, 5215, 540, 2575, 7131, 338, 689, 707, 5172, 5159, 693, 4948, 1970, 5777, 269, 0, 267, 2421, 808, 269, 667, 6865, 2562, 296, 3198, 454, 9824, 725, 4721, 538, 20390, 12412, 676, 808, 269, 595, 269, 23045, 2006, 630, 305, 719, 1578, 543, 918, 1122, 534, 6754, 11278, 275, 267, 4037, 994, 3849, 3421, 12412, 568, 513, 1974, 538, 1480, 1646, 799, 814, 4607, 3152, 23146, 982, 1022, 824, 538, 519, 2022, 21351, 1974, 269, 5980, 814, 2219, 3514, 547, 24705, 2937, 4567, 998, 519, 1318, 547, 8917, 267, 19533, 267, 3180, 3959, 267, 543, 865, 593, 267, 693, 519, 2085, 540, 476, 1240, 2864, 982, 693, 476, 2641, 563, 3849, 3421, 30105, 723, 1044, 693, 519, 1412, 1417, 516, 540, 1454, 540, 519, 15784, 3823, 4830, 7180, 267, 18326, 1996, 6392, 267, 519, 946, 540, 5061, 543, 4505, 17634, 609, 3023, 563, 763, 24657, 723, 1044, 9676, 676, 891, 2934, 855, 2370, 2143, 1702, 540, 519, 6418, 1272, 540, 519, 15730, 814, 1044, 2139, 267, 543, 1312, 3237, 543, 3610, 723, 547, 7048, 593, 741, 1378, 1995, 16109, 689, 741, 3346, 609, 513, 1880, 1895, 540, 1762, 1004, 269, 769, 713, 1433, 519, 2278, 8039, 1034, 3927, 519, 2139, 5626, 1382, 593, 18273, 543, 2982, 602, 972, 616, 15866, 1079, 5784, 563, 763, 4587, 540, 519, 1079, 12034, 713, 1974, 607, 513, 7088, 344, 835, 609, 519, 1762, 1268, 1373, 23366, 9575, 538, 513, 6560, 540, 32338, 454, 322, 11692, 606, 857, 519, 12625, 1993, 513, 5094, 2631, 540, 1582, 3125, 269, 634, 824, 543, 811, 2487, 2070, 12034, 18273, 607, 1373, 3592, 11207, 1863, 540, 891, 13253, 563, 1103, 713, 1353, 267, 799, 3238, 476, 31003, 8695, 543, 476, 4375, 273, 6690, 267, 519, 2278, 11148, 2509, 519, 3932, 602, 18273, 568, 513, 2582, 3942, 540, 1646, 799, 3322, 267, 2705, 267, 513, 1297, 540, 5094, 3270, 540, 3347, 5827, 269, 540, 31285, 855, 991, 711, 8209, 4125, 713, 563, 4002, 519, 2898, 8695, 543, 6690, 13789, 13974, 538, 519, 11200, 532, 540, 741, 7209, 538, 602, 1312, 723, 547, 21907, 16795, 9668, 689, 3237, 267, 9525, 609, 2828, 543, 9905, 543, 19908, 540, 4638, 3347, 282, 855, 519, 2298, 540, 891, 2833, 9775, 563, 18183, 12787, 609, 3237, 6238, 543, 7475, 4505, 609, 6690, 982, 8695, 267, 543, 1018, 568, 811, 519, 6690, 616, 2484, 811, 7255, 609, 519, 2702, 547, 581, 2933, 267, 547, 581, 519, 1268, 789, 6999, 547, 1831, 267, 796, 8882, 1663, 10642, 676, 3237, 267, 6466, 519, 8695, 616, 811, 16765, 569, 7255, 609, 7115, 540, 2962, 563, 289, 9081, 616, 3238, 538, 4655, 609, 6392, 281, 6690, 616, 12922, 540, 1373, 1071, 518, 1027, 269, 1306, 2484, 607, 17052, 543, 9263, 2516, 616, 7255, 267, 6690, 616, 1454, 811, 7255, 609, 18349, 689, 2901, 543, 616, 1454, 811, 30223, 609, 2042, 540, 6735, 543, 30983, 1369, 519, 1895, 3510, 563, 289, 9081, 616, 5275, 519, 4222, 540, 519, 1895, 267, 543, 952, 2576, 568, 15653, 741, 29059, 267, 7429, 602, 540, 519, 6690, 267, 568, 609, 519, 1895, 267, 711, 519, 1367, 269, 7053, 267, 6690, 2253, 547, 9921, 16770, 4505, 982, 8695, 267, 1312, 979, 998, 513, 1974, 540, 4160, 543, 10462, 538, 1647, 18273, 630, 1691, 547, 476, 1626, 264, 543, 1287, 7017, 1524, 538, 811, 8628, 17052, 538, 3735, 18273, 563, 4322, 2164, 1397, 602, 910, 611, 3421, 12412, 568, 513, 17890, 1184, 267, 5473, 1114, 3270, 540, 4657, 3347, 538, 799, 519, 6690, 616, 2484, 811, 7255, 609, 519, 2298, 540, 741, 6418, 2833, 982, 519, 8695, 267, 945, 9095, 10010, 547, 3605, 543, 7682, 741, 5007, 2990, 540, 4222, 543, 4567, 563, 13828, 519, 2689, 540, 3105, 960, 543, 519, 32055, 9355, 540, 519, 1382, 4681, 2306, 713, 606, 4277, 543, 1271, 1433, 585, 1346, 4171, 3318, 960, 6770, 873, 883, 3346, 609, 713, 1880, 5123, 540, 1480, 2208, 563, 12702, 3201, 14510, 23166, 27345, 19532, 3198, 2316, 31159, 454, 2421, 808, 269, 670, 269, 645, 27073, 2464, 3687, 3122, 659, 637, 676, 24910, 17880, 11169, 630, 290, 987, 4301, 4065, 7027, 476, 1015, 335, 264, 2605, 24910, 17880, 11169, 814, 3812, 513, 1507, 4320, 540, 6965, 799, 267, 1317, 540, 922, 1507, 1145, 267, 786, 581, 5701, 676, 930, 607, 28971, 269, 8409, 945, 2887, 883, 713, 15972, 786, 723, 1500, 513, 1360, 18205, 12161, 563, 5445, 786, 723, 19451, 7274, 585, 2298, 267, 543, 4352, 972, 568, 1100, 1390, 7274, 538, 713, 4015, 267, 972, 568, 9645, 2298, 269, 3733, 19463, 2394, 594, 1224, 834, 3849, 16633, 257, 729, 834, 14737, 3122, 659, 637, 2580, 799, 4667, 547, 803, 547, 2161, 811, 827, 476, 4968, 1296, 540, 2296, 7826, 1686, 982, 782, 519, 2757, 2065, 2797, 282, 5322, 540, 519, 5783, 563, 257, 3849, 16633, 257, 568, 513, 6648, 827, 811, 982, 21371, 267, 1210, 519, 991, 585, 9015, 538, 1893, 607, 606, 14745, 540, 519, 991, 585, 9015, 538, 4948, 1272, 269, 0, 30357, 281, 834, 3000, 12399, 257, 693, 7350, 3377, 454, 21158, 4388, 689, 519, 4750, 540, 29249, 454, 1862, 331, 3308, 1858, 630, 21587, 264, 13648, 1696, 620, 269, 5565, 3810, 2389, 11712, 22171, 454, 704, 11526, 513, 5163, 7020, 4305, 896, 1079, 1114, 18906, 1308, 2829, 269, 1280, 2281, 602, 1185, 7347, 6114, 547, 519, 5163, 17003, 267, 3007, 1110, 4327, 519, 3210, 1599, 1510, 513, 6521, 538, 519, 942, 610, 3337, 540, 519, 3210, 269, 4935, 741, 2164, 521, 2483, 14722, 4250, 1007, 24954, 12176, 949, 2491, 6727, 27580, 8759, 14897, 766, 454, 1862, 805, 3284, 525, 267, 799, 723, 2907, 8810, 3811, 538, 22171, 454, 663, 616, 6029, 3152, 9153, 538, 3425, 269, 1403, 24954, 12176, 568, 9672, 267, 5612, 24633, 782, 1004, 2713, 538, 519, 1858, 547, 2057, 7829, 4666, 2831, 269, 24954, 20178, 20723, 8611, 568, 513, 4049, 267, 1419, 1922, 7614, 2068, 602, 5540, 3425, 543, 1875, 3620, 6373, 2483, 290, 761, 1227, 13155, 24564, 2249, 726, 17026, 1115, 811, 982, 476, 2004, 2600, 2094, 476, 1960, 275, 454, 1862, 1343, 849, 21279, 519, 2249, 269, 5080, 29418, 267, 519, 22171, 454, 732, 811, 2693, 547, 581, 7166, 1369, 6870, 2127, 267, 2094, 789, 616, 811, 29822, 4104, 539, 543, 1093, 18291, 616, 811, 2352, 547, 5544, 269, 4595, 796, 31695, 2127, 538, 7187, 10476, 4043, 547, 723, 1447, 7320, 267, 1093, 18291, 1419, 2057, 873, 543, 2543, 873, 607, 682, 2483, 6124, 1620, 540, 519, 12227, 540, 1166, 514, 4221, 454, 1862, 340, 1027, 27090, 2534, 269, 1358, 1287, 6592, 875, 519, 22171, 454, 22046, 539, 547, 513, 7646, 25858, 540, 2011, 547, 519, 3068, 269, 634, 3173, 1336, 602, 519, 1437, 908, 5061, 8476, 519, 1166, 514, 577, 3210, 734, 6518, 3769, 513, 2695, 842, 267, 513, 1025, 1074, 267, 17666, 540, 519, 5580, 9067, 267, 24609, 532, 540, 519, 10772, 267, 543, 513, 8825, 6186, 543, 13105, 3350, 19601, 31416, 781, 8007, 5547, 787, 7000, 538, 22876, 2858, 3215, 28516, 454, 1862, 333, 341, 9407, 538, 8007, 1565, 269, 9453, 519, 5444, 267, 519, 22171, 454, 331, 739, 741, 2631, 540, 3666, 1063, 8007, 543, 519, 1862, 3944, 566, 538, 519, 1138, 1014, 960, 2802, 545, 269, 6145, 1082, 540, 721, 267, 22171, 454, 17884, 958, 1793, 871, 1055, 7620, 538, 2324, 4724, 513, 11397, 3804, 269, 1358, 960, 811, 7561, 1118, 905, 933, 2483, 18693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 4351, 21506, 3698, 3014, 310, 514, 263, 1260, 267, 16651, 8029, 825, 1948, 19868, 545, 2986, 8490, 10794, 269, 12476, 2201, 9577, 1284, 1205, 28088, 899, 570, 773, 2073, 654, 517, 610, 13809, 23228, 825, 952, 6345, 2652, 735, 6769, 1038, 2132, 7183, 1477, 825, 8640, 735, 2652, 1412, 338, 262, 6769, 1038, 952, 6345, 2652, 1412, 342, 262, 6769, 2018, 2132, 8771, 1477, 1038, 8640, 6345, 2652, 1412, 326, 262, 6769, 2018, 2132, 6936, 1477, 825, 8640, 735, 2652, 1412, 342, 262, 6769, 1038, 952, 6345, 2652, 1412, 326, 262, 6769, 2018, 2132, 8771, 1477, 1038, 8640, 6345, 2652, 1412, 338, 262, 6769, 2018, 2132, 6936, 1477, 825, 8640, 735, 2652, 1412, 326, 262, 6769, 1038, 952, 6345, 2652, 1412, 342, 262, 6769, 2018, 2132, 6936, 1477, 1038, 8640, 6345, 2652, 1412, 338, 262, 6769, 2018, 2132, 8771, 1477, 24541, 8681, 5591, 284, 12690, 27110, 263, 272, 267, 274, 264, 1948, 2690, 8950, 15932, 1677, 8564, 15932, 26840, 12476, 2201, 7089, 23228, 28744, 263, 8681, 5591, 264, 21506, 604, 28219, 5591, 2652, 476, 272, 6769, 825, 735, 8782, 338, 262, 1477, 19197, 28219, 5591, 2652, 476, 273, 6769, 825, 735, 8782, 326, 262, 1477, 19197, 28219, 5591, 2652, 476, 274, 6769, 825, 735, 8782, 342, 262, 1477, 258, 12648, 513, 18452, 3245, 14871, 23228, 16651, 284, 6358, 2891, 2690, 31315, 4964, 4433, 264, 610, 7784, 14116, 264, 610, 1216, 26028, 264, 2433, 834, 10142, 258, 2414, 6744, 14871, 9373, 4406, 573, 18452, 2107, 3502, 543, 1820, 28088, 23228, 604, 263, 16651, 2525, 262, 338, 262, 610, 6345, 2525, 262, 326, 262, 610, 6345, 2525, 262, 342, 262, 8029, 825, 513, 284, 18524, 310, 514, 263, 4818, 267, 16651, 3418, 825, 952, 513, 568, 7183, 6769, 1038, 1820, 2891, 307, 773, 14744, 825, 8640, 513, 6769, 1038, 1820, 2891, 295, 584, 2001, 1411, 654, 517, 8206, 14744, 825, 3116, 6769, 1038, 1820, 2891, 28989, 2073, 1411, 13809, 8206, 14744, 12828, 6769, 825, 1820, 2891, 8923, 267, 11767, 4406, 573, 18452, 1701, 264, 0, 5814, 4351, 1477, 12690, 19056, 284, 12690, 27110, 263, 272, 267, 2004, 3418, 28744, 263, 12690, 19056, 3418, 12528, 17750, 22561, 1477, 29674, 284, 271, 1477, 6112, 263, 12528, 17750, 256, 284, 12690, 19056, 8029, 825, 7058, 23785, 272, 1477, 825, 3593, 17750, 25507, 9272, 2891, 8923, 2871, 612, 2290, 10025, 281, 8442, 3418, 825, 952, 263, 12528, 17750, 2525, 12690, 19056, 8029, 1038, 1820, 2891, 2791, 2871, 612, 9406, 1701, 3418, 825, 3116, 6769, 1038, 952, 263, 12528, 17750, 285, 12690, 19056, 8029, 2018, 1820, 2891, 8923, 8347, 9540, 518, 7089, 2433, 2891, 3418, 1038, 3116, 6769, 2018, 1820, 2891, 8923, 8347, 14066, 7089, 2433, 2891, 10142, 2745, 6600, 257, 5591, 540, 8347, 1411, 6875, 815, 2715, 29674, 348, 14744, 5976, 1930, 3488, 14683, 16557, 17902, 12887, 337, 10807, 607, 535, 6769, 825, 6060, 284, 325, 18667, 14052, 604, 263, 29674, 2999, 703, 263, 16557, 264, 8029, 825, 1820, 2891, 295, 584, 2001, 1411, 645, 6593, 4400, 16557, 1701, 3418, 825, 609, 1930, 3488, 14683, 16557, 17902, 12887, 342, 10807, 607, 535, 6769, 1038, 535, 22182, 19304, 263, 29674, 17903, 12828, 6769, 825, 1820, 2891, 8923, 8347, 1677, 4400, 1701, 264, 0, 2745, 263, 12148, 994, 339, 5404, 272, 815, 6936, 454, 2745, 6025, 5404, 272, 2020, 339, 5404, 273, 815, 7003, 2891, 9616, 8442, 13843, 476, 275, 454, 339, 5404, 274, 815, 834, 16694, 257, 2652, 834, 9616, 5016, 2745, 6025, 5404, 273, 994, 2745, 6025, 5404, 274, 994, 2745, 263, 2254, 31575, 273, 2020, 339, 5404, 274, 815, 536, 944, 263, 272, 994, 2745, 263, 6943, 6025, 5404, 274, 11723, 2745, 263, 272, 270, 278, 994, 2745, 263, 272, 269, 271, 270, 278, 994, 2745, 263, 278, 260, 274, 2020, 339, 5404, 275, 815, 272, 454, 339, 5404, 275, 6834, 476, 272, 454, 2745, 6025, 5404, 275, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18411, 2791, 616, 2016, 606, 562, 1535, 562, 476, 273, 291, 5119, 8204, 606, 3239, 780, 305, 582, 622, 519, 3239, 676, 476, 3445, 5232, 630, 22018, 3772, 264, 538, 1747, 692, 22018, 3772, 17967, 692, 14140, 9258, 909, 547, 1524, 267, 1287, 23396, 519, 15340, 3097, 272, 476, 273, 476, 274, 672, 476, 278, 476, 279, 476, 280, 672, 476, 278, 476, 275, 476, 272, 454, 275, 476, 276, 476, 277, 476, 18092, 476, 275, 476, 276, 476, 277, 476, 18092, 476, 279, 476, 276, 476, 273, 454, 278, 476, 279, 476, 280, 672, 476, 272, 476, 273, 476, 274, 672, 476, 280, 476, 277, 476, 274, 7531, 4842, 6674, 3772, 17967, 454, 14140, 9258, 2451, 547, 1318, 267, 1287, 23396, 519, 15340, 454, 272, 476, 273, 476, 274, 672, 476, 274, 476, 273, 476, 272, 672, 476, 274, 476, 277, 476, 280, 454, 275, 476, 276, 476, 277, 476, 18092, 476, 277, 476, 276, 476, 275, 476, 18092, 476, 273, 476, 276, 476, 279, 454, 278, 476, 279, 476, 280, 672, 476, 280, 476, 279, 476, 278, 672, 476, 272, 476, 275, 476, 278, 7531, 18257, 7531, 3698, 17967, 318, 22018, 3772, 263, 9795, 17107, 825, 952, 711, 5119, 912, 1038, 2132, 692, 825, 5119, 18622, 2091, 4590, 825, 585, 1775, 538, 2039, 12759, 263, 9795, 15892, 1038, 585, 795, 538, 2039, 9217, 2187, 2018, 5119, 5157, 6012, 329, 3910, 5119, 14728, 6012, 328, 316, 815, 5119, 14728, 6012, 328, 3910, 5119, 5157, 6012, 329, 6540, 825, 2132, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18411, 19547, 624, 4783, 538, 606, 3768, 20526, 3113, 1210, 546, 12028, 543, 1100, 2385, 31452, 454, 18411, 3698, 568, 290, 19564, 14116, 1429, 17107, 825, 952, 711, 3113, 912, 1038, 2132, 8771, 692, 825, 1948, 1665, 782, 9136, 607, 796, 6665, 1243, 454, 825, 10272, 815, 1496, 271, 316, 2608, 7003, 14116, 1429, 2020, 825, 585, 6843, 538, 2039, 12759, 14116, 1429, 15892, 1038, 952, 546, 12028, 14116, 1429, 267, 6843, 267, 10272, 2187, 2018, 2132, 6936, 692, 825, 2132, 8771, 7531, 3698, 546, 12028, 14116, 1429, 267, 1376, 267, 10272, 17107, 825, 1948, 4783, 538, 3113, 454, 825, 952, 10272, 314, 11034, 316, 2652, 910, 272, 912, 1038, 2132, 6936, 692, 825, 1948, 1100, 4783, 538, 3113, 454, 825, 952, 10272, 314, 11034, 316, 2652, 476, 272, 912, 1038, 2132, 8771, 692, 825, 1948, 1665, 6843, 607, 834, 7424, 257, 10272, 454, 825, 10272, 314, 11034, 316, 815, 910, 272, 692, 825, 585, 4423, 538, 3113, 314, 11034, 14158, 1038, 952, 546, 12028, 14116, 1429, 267, 4423, 267, 10272, 2187, 2018, 2132, 6936, 692, 825, 1948, 1665, 6843, 607, 10272, 454, 825, 10272, 314, 11034, 316, 815, 476, 272, 454, 825, 2132, 8771, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 3113, 815, 20886, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 271, 267, 476, 273, 3910, 476, 1496, 271, 267, 476, 272, 3910, 1496, 271, 3910, 1496, 274, 316, 6540, 825, 7682, 568, 290, 19564, 14116, 1429, 264, 2652, 6936, 692, 825, 3113, 815, 20886, 272, 3910, 1496, 273, 3910, 1496, 27663, 825, 7682, 568, 290, 19564, 14116, 1429, 264, 2652, 8771, 454, 672, 3097, 825, 1820, 1412, 339, 3949, 5293, 262, 3097, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18411, 11693, 513, 476, 273, 291, 4604, 543, 513, 2262, 267, 1265, 952, 519, 2262, 6818, 538, 519, 7470, 780, 763, 2262, 666, 581, 9112, 689, 5022, 540, 18615, 569, 11105, 1591, 267, 1141, 834, 29951, 8809, 257, 2281, 616, 454, 29006, 23276, 610, 19794, 15231, 780, 763, 1482, 4484, 1591, 949, 711, 581, 1031, 811, 982, 2899, 780, 2690, 1383, 2676, 11693, 4604, 25883, 314, 454, 476, 22373, 5723, 4753, 257, 16689, 476, 22373, 306, 293, 5425, 257, 16689, 476, 22373, 4696, 7417, 31116, 2639, 5320, 815, 834, 5723, 6717, 3633, 2580, 9847, 7024, 3020, 2676, 5320, 815, 834, 306, 7417, 2580, 9847, 7024, 3020, 2676, 5320, 815, 834, 27398, 289, 2580, 9847, 7024, 7301, 563, 18257, 692, 258, 681, 29025, 281, 744, 263, 275, 18898, 264, 2094, 649, 616, 16571, 1947, 21986, 532, 519, 476, 275, 11105, 2281, 693, 1142, 1900, 692, 3698, 2291, 29033, 267, 2262, 2187, 825, 8173, 825, 2433, 6943, 4604, 281, 5903, 314, 8266, 314, 1598, 27663, 825, 2433, 6943, 2262, 281, 1193, 454, 825, 2433, 337, 6943, 281, 536, 944, 454, 825, 8173, 825, 952, 711, 4604, 912, 1038, 2132, 8771, 692, 825, 585, 1775, 538, 2039, 12759, 29033, 15892, 1038, 585, 795, 538, 2039, 12759, 29033, 314, 271, 8079, 2187, 2018, 952, 546, 12028, 29033, 267, 2262, 267, 1775, 267, 795, 2187, 3546, 2132, 6936, 692, 825, 2132, 8771, 7531, 258, 2638, 2436, 649, 666, 1265, 2262, 267, 1376, 693, 630, 992, 267, 3712, 264, 2990, 454, 3698, 546, 12028, 29033, 267, 2262, 267, 4737, 267, 897, 2187, 825, 952, 711, 2262, 281, 476, 1948, 782, 519, 3197, 616, 13761, 454, 1038, 2132, 6936, 692, 825, 1948, 23380, 9343, 454, 825, 952, 4737, 2999, 476, 271, 610, 4737, 13843, 7003, 29033, 2187, 1038, 2132, 8771, 692, 825, 1948, 23380, 9587, 454, 825, 952, 897, 2999, 476, 271, 610, 897, 13843, 7003, 29033, 314, 271, 316, 2187, 1038, 2132, 8771, 692, 825, 1948, 1915, 25314, 2255, 454, 825, 952, 2262, 314, 271, 316, 11203, 4604, 314, 992, 6012, 3712, 14158, 1038, 2132, 8771, 692, 825, 31575, 815, 4604, 314, 992, 6012, 3712, 316, 476, 1948, 1101, 1915, 568, 1336, 267, 2638, 519, 6967, 851, 454, 825, 4604, 314, 992, 6012, 3712, 316, 815, 834, 1701, 476, 1948, 2057, 3643, 1586, 692, 825, 1948, 2638, 2436, 649, 666, 1265, 834, 5320, 257, 2059, 835, 4287, 454, 825, 759, 815, 546, 12028, 29033, 267, 2262, 314, 272, 281, 3910, 4737, 910, 476, 272, 267, 897, 264, 610, 26444, 16875, 546, 12028, 29033, 267, 2262, 314, 272, 281, 3910, 4737, 1341, 476, 272, 267, 897, 264, 610, 26444, 16875, 546, 12028, 29033, 267, 2262, 314, 272, 281, 3910, 4737, 267, 897, 910, 476, 272, 264, 610, 26444, 16875, 546, 12028, 29033, 267, 2262, 314, 272, 281, 3910, 4737, 267, 897, 1341, 476, 272, 2020, 825, 4604, 314, 992, 6012, 3712, 316, 815, 31575, 454, 825, 2132, 759, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 12163, 288, 588, 13681, 6945, 15122, 1297, 568, 513, 1297, 602, 5654, 519, 1482, 950, 29352, 476, 5197, 5232, 630, 331, 10541, 693, 26700, 1524, 1916, 2237, 513, 1599, 547, 1293, 519, 2698, 588, 13681, 6945, 15122, 2338, 602, 2291, 538, 519, 2039, 540, 1970, 10922, 1003, 10922, 1164, 780, 2690, 1383, 2676, 11693, 1970, 815, 834, 2004, 2580, 1164, 815, 834, 1911, 2580, 2132, 476, 274, 269, 5221, 476, 7597, 267, 476, 6434, 267, 543, 476, 9834, 616, 1614, 588, 13681, 6945, 15122, 2338, 780, 9616, 912, 10303, 519, 2039, 1522, 581, 513, 1804, 1297, 267, 519, 1970, 543, 1164, 2338, 616, 6719, 607, 5569, 780, 11405, 281, 23893, 607, 588, 13681, 6945, 15122, 20311, 318, 273, 18258, 454, 20701, 454, 3698, 568, 14067, 13681, 6945, 15122, 3799, 2187, 825, 952, 562, 2652, 476, 271, 912, 1038, 2132, 1496, 3269, 6540, 825, 9642, 300, 573, 290, 663, 28371, 815, 22373, 271, 2580, 834, 272, 2580, 834, 279, 31116, 825, 1256, 300, 573, 290, 663, 28371, 815, 22373, 1556, 2580, 834, 7597, 2580, 834, 6434, 2580, 834, 9834, 2580, 834, 876, 257, 6540, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 9642, 300, 573, 290, 663, 28371, 692, 825, 952, 562, 2652, 476, 273, 912, 1038, 2132, 1256, 300, 573, 290, 663, 28371, 11468, 268, 272, 6540, 825, 952, 562, 4939, 476, 273, 2652, 476, 272, 912, 1038, 840, 267, 1295, 290, 663, 28371, 815, 568, 14067, 13681, 6945, 15122, 3799, 910, 476, 272, 1070, 9642, 300, 573, 290, 663, 28371, 692, 825, 3116, 912, 1038, 840, 267, 1295, 290, 663, 28371, 815, 568, 14067, 13681, 6945, 15122, 3799, 910, 476, 273, 1070, 1256, 300, 573, 290, 663, 28371, 692, 825, 7158, 815, 630, 333, 910, 476, 272, 264, 1315, 476, 273, 692, 825, 1267, 815, 11713, 825, 585, 6221, 538, 840, 912, 1038, 585, 524, 538, 1295, 290, 663, 28371, 912, 2018, 1003, 815, 6221, 11468, 7158, 316, 1341, 524, 1341, 6221, 314, 21752, 281, 2639, 2018, 1267, 6910, 16325, 2020, 825, 2132, 1267, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1970, 267, 1164, 815, 834, 2004, 2580, 834, 1911, 5016, 825, 1295, 28747, 815, 7003, 263, 869, 994, 825, 3193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 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, 5386, 12716, 2631, 13380, 547, 1110, 655, 7206, 269, 7600, 1227, 6218, 713, 6085, 269, 1496, 17698, 476, 1001, 276, 2639, 2171, 4126, 782, 707, 22027, 3823, 519, 29190, 15339, 769, 9147, 3127, 616, 9619, 1310, 2469, 998, 713, 2376, 11053, 652, 1504, 2488, 3102, 4967, 585, 1114, 8013, 18362, 269, 898, 814, 2141, 21407, 519, 2298, 540, 922, 1587, 899, 1543, 3817, 267, 2661, 4255, 267, 717, 330, 543, 1699, 12602, 267, 544, 4169, 543, 865, 593, 6993, 576, 707, 772, 28903, 7041, 609, 519, 4530, 1504, 2561, 2336, 11902, 17988, 2201, 634, 29190, 15339, 769, 9147, 3127, 454, 303, 5593, 902, 941, 1287, 1500, 593, 713, 5423, 2627, 1210, 23416, 6404, 538, 513, 15441, 5420, 563, 1607, 1826, 540, 674, 637, 1723, 585, 7206, 568, 1114, 689, 3020, 674, 637, 1723, 538, 799, 32314, 23416, 1141, 6404, 609, 1216, 543, 1287, 4294, 593, 3043, 18654, 726, 770, 1229, 6821, 593, 799, 519, 15437, 941, 1305, 2059, 609, 519, 1773, 2120, 563, 763, 11453, 729, 1500, 909, 540, 3662, 4552, 563, 763, 15437, 1031, 941, 281, 3043, 1500, 689, 18654, 543, 21859, 26011, 267, 2699, 543, 5835, 689, 522, 577, 516, 267, 3109, 689, 865, 582, 267, 3039, 689, 1350, 340, 935, 924, 543, 4544, 689, 22272, 529, 22178, 25625, 269, 0, 13914, 5402, 593, 875, 547, 1902, 707, 2724, 1317, 952, 596, 1118, 4636, 3664, 621, 1223, 1942, 596, 632, 8765, 269, 1703, 616, 1082, 2081, 538, 799, 547, 1902, 707, 2724, 543, 607, 971, 5275, 519, 5796, 540, 513, 3318, 1131, 581, 513, 1360, 8797, 1847, 269, 634, 1344, 2630, 786, 948, 2285, 596, 513, 1732, 1620, 540, 930, 1883, 2609, 540, 5883, 2724, 912, 7312, 968, 338, 822, 902, 892, 616, 2356, 2322, 883, 519, 32343, 4025, 610, 2472, 602, 1450, 596, 1569, 547, 707, 2724, 693, 1022, 942, 269, 6201, 1331, 9806, 6589, 267, 10992, 6589, 267, 543, 22783, 540, 16005, 563, 7197, 5100, 9520, 2322, 2614, 2724, 538, 513, 9806, 1587, 547, 3382, 606, 6595, 267, 899, 6727, 13864, 269, 2368, 1118, 2386, 789, 723, 909, 547, 476, 277, 3275, 540, 741, 4747, 538, 9806, 865, 602, 789, 917, 621, 786, 11613, 581, 972, 585, 873, 950, 789, 991, 621, 563, 2691, 596, 968, 514, 4034, 2223, 596, 723, 513, 3152, 4960, 540, 9561, 707, 2724, 982, 950, 596, 968, 338, 1511, 1848, 1411, 1223, 6336, 707, 968, 1440, 4532, 7625, 2223, 799, 568, 519, 2179, 596, 4076, 16539, 269, 2334, 779, 3020, 1256, 952, 596, 6718, 707, 9541, 998, 513, 4871, 269, 1809, 950, 596, 1902, 267, 596, 849, 723, 519, 4316, 547, 7118, 811, 2724, 982, 950, 596, 4688, 563, 5472, 9541, 4125, 2921, 593, 1981, 269, 898, 779, 1271, 602, 596, 979, 883, 1022, 5092, 538, 13632, 267, 7554, 610, 8994, 7482, 609, 513, 2407, 1620, 602, 596, 1223, 6336, 930, 610, 782, 540, 707, 2724, 538, 1022, 835, 5092, 563, 2005, 568, 3020, 602, 519, 3152, 519, 1981, 267, 519, 3152, 519, 1761, 12587, 538, 10115, 267, 855, 2921, 593, 11991, 1981, 568, 1419, 2057, 762, 269, 7767, 832, 666, 1655, 2149, 2933, 1996, 1981, 676, 10825, 741, 2724, 1851, 1585, 9541, 267, 15691, 602, 952, 835, 5092, 19380, 2724, 267, 519, 824, 9541, 786, 811, 982, 1118, 909, 585, 1346, 9271, 269, 901, 4640, 267, 1572, 968, 323, 1392, 2305, 2223, 666, 581, 28426, 2040, 4364, 909, 607, 267, 968, 10673, 1406, 2322, 782, 707, 5798, 538, 835, 11127, 3034, 5629, 596, 4076, 10710, 2724, 585, 10115, 267, 2015, 5402, 782, 707, 3681, 543, 1589, 827, 1018, 29159, 4640, 2306, 2631, 585, 596, 269, 1703, 616, 3833, 513, 1906, 5092, 2472, 547, 3442, 689, 585, 1383, 282, 13632, 543, 8843, 267, 6006, 8994, 7482, 267, 9746, 7554, 267, 6125, 8994, 7482, 543, 2724, 2344, 7482, 563, 291, 1392, 2305, 666, 1406, 10018, 602, 707, 9541, 4465, 1406, 7985, 952, 519, 2344, 12772, 269, 1809, 621, 666, 2087, 519, 8458, 602, 596, 4465, 1406, 6336, 2724, 267, 610, 602, 952, 596, 798, 267, 621, 4465, 1406, 581, 607, 1454, 607, 952, 596, 14201, 1406, 4129, 1881, 563, 1432, 616, 519, 1655, 9494, 543, 10115, 2472, 585, 596, 286, 634, 2626, 5673, 593, 950, 596, 786, 991, 519, 2724, 267, 707, 3853, 267, 543, 952, 596, 786, 581, 2111, 547, 3207, 693, 3781, 952, 596, 6718, 513, 19408, 5092, 1141, 596, 1223, 6336, 707, 9030, 563, 10666, 519, 2278, 454, 11990, 631, 1380, 328, 568, 519, 13653, 540, 6034, 6732, 10753, 753, 945, 948, 5177, 21427, 1265, 519, 1655, 2139, 12029, 3842, 519, 8940, 6155, 1311, 517, 4802, 601, 334, 753, 16691, 16896, 3896, 269, 0, 5591, 2339, 952, 596, 2461, 4657, 4876, 10092, 610, 1818, 513, 3375, 799, 4287, 547, 1491, 1310, 519, 12032, 540, 707, 2090, 267, 596, 991, 547, 581, 3222, 540, 519, 1249, 602, 1082, 540, 519, 1034, 29988, 543, 29988, 6009, 538, 519, 2361, 540, 3140, 1382, 2154, 3606, 2866, 543, 6284, 269, 634, 1505, 540, 24794, 8826, 2079, 2636, 606, 4316, 585, 16795, 21599, 883, 519, 3140, 4259, 267, 4553, 676, 7634, 540, 519, 3597, 24500, 1547, 1548, 798, 596, 1544, 547, 798, 609, 707, 2090, 538, 1686, 286, 15012, 519, 4901, 538, 8292, 543, 2671, 707, 4555, 609, 721, 256, 901, 1505, 2636, 519, 14787, 547, 1305, 909, 23610, 8658, 547, 5659, 513, 1808, 2680, 269, 6176, 593, 14057, 568, 7229, 2390, 1239, 602, 814, 1044, 16432, 543, 5950, 689, 1585, 2959, 267, 1519, 1346, 689, 519, 2817, 5516, 619, 6796, 543, 519, 13163, 540, 23267, 10803, 1547, 898, 568, 4749, 8246, 538, 519, 2079, 540, 11786, 2621, 538, 519, 1686, 269, 634, 3140, 543, 13354, 1935, 2636, 596, 547, 1353, 1978, 1919, 267, 2621, 267, 610, 5013, 936, 513, 942, 1974, 563, 763, 6030, 540, 1353, 6035, 538, 519, 20513, 540, 3778, 543, 8836, 7070, 269, 769, 519, 1395, 21106, 540, 3140, 2090, 596, 666, 1265, 519, 6476, 1063, 519, 2197, 779, 10781, 689, 476, 4489, 274, 1032, 607, 1134, 607, 824, 2338, 689, 519, 1032, 610, 942, 269, 634, 12200, 568, 8237, 883, 1079, 6810, 267, 799, 1331, 519, 1641, 2127, 2048, 19425, 2801, 1108, 543, 3778, 9957, 634, 1361, 4919, 4480, 568, 13380, 547, 519, 10855, 1935, 1031, 547, 4766, 3140, 2621, 269, 5221, 540, 519, 22606, 1436, 540, 519, 3292, 540, 1353, 693, 519, 10218, 338, 2160, 1614, 1114, 2010, 540, 5232, 616, 2139, 799, 1331, 634, 11819, 9751, 19510, 267, 799, 2488, 513, 15149, 585, 3450, 693, 18049, 12140, 630, 294, 2096, 333, 14901, 264, 607, 538, 1840, 547, 519, 645, 6993, 269, 630, 289, 3147, 8403, 675, 639, 8551, 20324, 14209, 538, 8551, 264, 543, 267, 519, 1985, 1900, 2443, 519, 631, 6993, 269, 630, 300, 698, 3563, 1148, 19072, 2120, 540, 8551, 1040, 10435, 513, 8642, 543, 1257, 7291, 540, 519, 2621, 1210, 6054, 543, 2123, 29946, 540, 519, 942, 543, 31150, 6054, 568, 835, 540, 519, 1034, 1271, 4247, 585, 12206, 538, 741, 1382, 563, 763, 1739, 1353, 6030, 616, 2139, 547, 1007, 1053, 281, 3245, 519, 29459, 540, 1382, 538, 1382, 267, 519, 8579, 1935, 568, 519, 1034, 5730, 1505, 607, 621, 2636, 596, 547, 22942, 711, 1152, 519, 3123, 602, 616, 6662, 540, 519, 3510, 607, 1134, 607, 547, 3313, 519, 1034, 2629, 2188, 538, 519, 1184, 269, 645, 6993, 269, 19120, 5511, 3344, 540, 519, 3615, 540, 6476, 269, 16329, 1670, 7070, 282, 631, 6993, 563, 32325, 540, 1473, 25934, 543, 667, 9254, 794, 269, 18190, 26337, 282, 631, 6993, 269, 2755, 14139, 713, 3406, 2619, 9859, 693, 6707, 6061, 519, 3390, 519, 1184, 540, 3206, 3322, 3001, 519, 2856, 689, 519, 4098, 547, 519, 3932, 538, 1931, 547, 1847, 689, 519, 2489, 25759, 1448, 547, 1808, 3236, 610, 4214, 269, 2776, 18856, 26337, 282, 11819, 9751, 5358, 8466, 5525, 282, 645, 6993, 269, 634, 12191, 540, 1686, 568, 609, 971, 9443, 607, 1876, 267, 6138, 543, 15257, 267, 11585, 607, 1134, 607, 519, 2361, 540, 2797, 2257, 563, 14532, 269, 3962, 2361, 540, 1353, 814, 513, 2250, 540, 5137, 543, 2208, 540, 713, 2361, 269, 631, 6993, 269, 5049, 593, 3778, 631, 6993, 269, 6396, 1108, 540, 3778, 568, 606, 25581, 2361, 799, 14439, 519, 1034, 3608, 2409, 547, 1353, 513, 1888, 543, 1418, 3278, 519, 1344, 6591, 998, 1353, 269, 4139, 9534, 631, 6993, 563, 28158, 1514, 543, 2804, 3140, 4139, 22518, 10456, 281, 4521, 1107, 3778, 1107, 15348, 269, 8262, 3778, 269, 634, 2497, 540, 519, 6030, 540, 1353, 538, 519, 2361, 540, 1686, 568, 2966, 547, 581, 607, 8465, 607, 568, 2009, 269, 8262, 3778, 568, 606, 29517, 4972, 540, 4065, 9516, 1528, 633, 1576, 602, 568, 9516, 676, 519, 29517, 4972, 540, 4065, 269, 634, 13838, 941, 2966, 865, 602, 1053, 616, 2111, 547, 4020, 873, 676, 8939, 689, 513, 3099, 540, 5049, 269, 4985, 563, 763, 2596, 13838, 607, 1134, 607, 4359, 13838, 616, 4857, 676, 3140, 5712, 543, 711, 676, 1808, 3140, 1543, 269, 8262, 3778, 6238, 609, 519, 1279, 1686, 540, 2984, 540, 519, 5169, 602, 3425, 723, 3838, 585, 1082, 5215, 540, 1296, 269, 901, 10522, 602, 972, 568, 2230, 267, 799, 568, 3908, 676, 519, 8244, 540, 1880, 6030, 585, 1053, 547, 11654, 519, 4690, 540, 741, 1378, 269, 8262, 3778, 786, 581, 11567, 607, 513, 2239, 602, 13462, 519, 3003, 1480, 5198, 267, 1142, 2249, 538, 519, 1979, 14459, 543, 782, 519, 5318, 2073, 1350, 626, 2287, 26355, 883, 513, 2582, 267, 6024, 1899, 4098, 609, 4098, 609, 519, 8262, 10854, 2394, 1631, 269, 26643, 666, 581, 8246, 547, 948, 1628, 1585, 13838, 563, 1607, 568, 513, 1650, 540, 1169, 4090, 267, 782, 942, 543, 568, 606, 5393, 2123, 2272, 540, 1018, 649, 2461, 782, 827, 543, 1018, 649, 616, 689, 269, 1280, 3236, 5049, 13991, 547, 4974, 2959, 593, 519, 476, 1704, 628, 2540, 1522, 581, 1031, 547, 948, 1628, 519, 13654, 21602, 7073, 8466, 5525, 257, 607, 1134, 607, 519, 21602, 2073, 834, 14532, 607, 3163, 2668, 6092, 2497, 269, 4841, 1590, 581, 3222, 540, 519, 1880, 3483, 1369, 741, 1880, 1982, 540, 1353, 585, 519, 6030, 789, 1491, 269, 898, 779, 513, 476, 1220, 16923, 1362, 538, 8609, 476, 276, 16922, 540, 476, 1015, 25471, 4559, 269, 4746, 267, 621, 568, 1271, 547, 4063, 602, 1142, 1362, 568, 1152, 18886, 1152, 2899, 563, 19522, 585, 3610, 593, 519, 2898, 1153, 4145, 267, 519, 1034, 1271, 3877, 543, 6351, 609, 8262, 3778, 269, 634, 5049, 538, 519, 11819, 9751, 19510, 543, 1346, 585, 519, 645, 6993, 269, 616, 3622, 538, 6252, 267, 2495, 1053, 616, 1419, 2921, 519, 1482, 5049, 269, 589, 1249, 9212, 585, 519, 3401, 269, 634, 2101, 3604, 666, 581, 2938, 538, 519, 7274, 540, 6044, 543, 4052, 269, 2353, 1153, 4145, 563, 763, 3296, 593, 18840, 1108, 568, 6896, 3833, 8335, 269, 8262, 3778, 6663, 547, 1020, 1053, 685, 1620, 540, 4282, 540, 519, 7122, 267, 4098, 609, 519, 834, 15927, 29907, 257, 998, 519, 1459, 543, 3564, 269, 5221, 540, 519, 1880, 2470, 540, 713, 1641, 2339, 267, 621, 5205, 513, 24441, 1982, 609, 513, 6378, 6437, 568, 4553, 269, 898, 1281, 713, 998, 3695, 519, 2101, 4798, 543, 3270, 602, 666, 948, 721, 1174, 519, 1158, 602, 649, 616, 2713, 538, 269, 1280, 811, 2143, 1344, 827, 1169, 1576, 267, 519, 3652, 585, 519, 6030, 543, 18362, 616, 3015, 593, 519, 4950, 269, 898, 18271, 606, 954, 16162, 9918, 1935, 547, 4217, 1053, 685, 1646, 540, 1983, 585, 2565, 3206, 269, 4841, 616, 849, 9415, 547, 946, 9666, 1559, 689, 12200, 563, 2005, 568, 513, 1576, 538, 519, 7706, 540, 3069, 609, 519, 7872, 540, 6772, 2355, 609, 519, 9443, 267, 1686, 607, 1134, 607, 513, 3099, 540, 824, 10459, 269, 3776, 12200, 568, 1634, 585, 922, 5140, 5790, 540, 519, 3450, 1184, 543, 585, 1382, 269, 634, 1576, 8255, 585, 476, 1220, 3108, 267, 543, 782, 3584, 616, 2838, 563, 12218, 525, 267, 27195, 15872, 267, 616, 11658, 909, 547, 476, 1839, 5171, 269, 9861, 3222, 3823, 519, 2552, 7337, 658, 12983, 538, 3506, 4507, 543, 5650, 568, 4105, 538, 519, 4058, 540, 519, 1585, 3334, 602, 17663, 634, 8262, 3778, 1576, 269, 898, 568, 1271, 547, 4063, 519, 1739, 281, 585, 1169, 1362, 630, 5976, 519, 17181, 540, 11000, 6030, 264, 606, 2038, 14261, 693, 519, 8257, 531, 5604, 602, 568, 2838, 269, 634, 2228, 8262, 3778, 1788, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 876, 307, 16781, 532, 693, 22847, 1269, 2412, 269, 4649, 454, 1607, 6221, 3085, 1405, 4866, 593, 713, 2985, 563, 12552, 267, 649, 3513, 1413, 883, 713, 269, 0, 7804, 269, 12049, 6601, 573, 339, 267, 476, 280, 866, 270, 276, 1428, 268, 29574, 280, 610, 4757, 11333, 2593, 454, 20755, 12359, 553, 267, 5240, 7896, 267, 476, 280, 866, 270, 276, 1428, 268, 31003, 271, 610, 18078, 17106, 11333, 3820, 454, 19688, 476, 2764, 267, 476, 1960, 279, 454, 14722, 2422, 5484, 1030, 2772, 29318, 547, 11135, 15168, 916, 593, 18610, 21277, 576, 19489, 594, 12613, 3633, 296, 12442, 11555, 4041, 17955, 454, 10214, 1498, 4892, 2972, 519, 1158, 781, 32343, 1426, 3761, 267, 3810, 1857, 1242, 20825, 540, 3983, 554, 3711, 584, 3455, 267, 512, 20557, 678, 5684, 11241, 543, 824, 13572, 3536, 723, 695, 2586, 1857, 6015, 538, 2487, 1296, 563, 28959, 267, 3114, 729, 1127, 267, 12104, 3130, 543, 29089, 2510, 616, 1851, 519, 1034, 1455, 9604, 1031, 547, 8396, 519, 17900, 602, 2014, 891, 20825, 269, 1809, 3744, 693, 3345, 10491, 3557, 2160, 616, 2921, 513, 1114, 8214, 281, 1358, 2811, 8165, 3595, 609, 3595, 267, 676, 1210, 6225, 4551, 547, 3247, 519, 2208, 540, 5739, 4551, 593, 4195, 3132, 563, 20442, 4312, 1336, 602, 676, 8156, 4195, 3132, 609, 513, 1507, 2179, 540, 561, 12519, 3679, 4551, 267, 649, 666, 2061, 519, 2208, 540, 2068, 27351, 6748, 4551, 971, 607, 561, 3563, 807, 2437, 3081, 3220, 269, 12049, 6601, 573, 339, 267, 513, 9972, 11001, 538, 6211, 543, 6694, 4702, 543, 1426, 2257, 693, 12135, 3557, 563, 299, 12519, 3679, 4551, 630, 25278, 264, 616, 18784, 7103, 1336, 6923, 593, 1082, 3536, 267, 1519, 18506, 543, 25496, 5388, 269, 834, 5445, 2811, 2470, 781, 1378, 29089, 2510, 2437, 3081, 6601, 573, 339, 269, 834, 5445, 2061, 519, 2208, 540, 824, 4551, 269, 1656, 789, 1810, 1405, 1860, 1426, 781, 6492, 267, 9329, 610, 9403, 4799, 25278, 5892, 723, 1044, 6594, 585, 946, 538, 5355, 519, 3106, 540, 5779, 543, 10683, 2472, 267, 855, 6601, 573, 339, 543, 1010, 9164, 616, 1851, 1152, 513, 19625, 540, 3173, 5001, 14236, 700, 5723, 781, 946, 593, 4829, 543, 5388, 563, 303, 28558, 1223, 581, 5701, 609, 700, 5723, 538, 513, 1079, 9912, 1184, 267, 646, 3081, 269, 3689, 267, 3114, 5574, 610, 3002, 1131, 581, 1031, 547, 2569, 519, 9190, 2551, 593, 519, 3132, 269, 3973, 267, 513, 1507, 2179, 540, 700, 5723, 267, 31796, 4505, 689, 519, 1482, 1826, 540, 10448, 610, 10448, 1587, 267, 1131, 581, 556, 22190, 29736, 563, 763, 2856, 568, 547, 32543, 28558, 1175, 2614, 700, 5723, 547, 10726, 1022, 5739, 4551, 602, 949, 1020, 2663, 267, 1510, 1687, 12350, 569, 2110, 2287, 519, 5388, 262, 15808, 1272, 269, 32451, 1454, 4551, 4534, 1256, 6225, 3283, 4534, 786, 2110, 523, 15808, 1272, 563, 2005, 781, 513, 10347, 13326, 957, 267, 7294, 676, 519, 1249, 602, 1082, 1114, 5686, 540, 700, 5723, 949, 581, 1459, 593, 5388, 267, 1142, 609, 1114, 27611, 3601, 543, 9342, 269, 17291, 799, 540, 891, 786, 581, 1034, 2500, 538, 32485, 519, 2208, 540, 5739, 4551, 1034, 2693, 547, 581, 1336, 593, 513, 1808, 10448, 267, 610, 538, 513, 1808, 1426, 4393, 1604, 267, 568, 519, 1445, 540, 6601, 573, 339, 781, 1699, 1382, 563, 22998, 609, 3220, 269, 8361, 18307, 2719, 267, 22340, 1382, 6205, 543, 7548, 540, 1426, 2257, 693, 12135, 3557, 267, 543, 824, 3173, 538, 519, 6280, 781, 22340, 5025, 326, 3472, 1116, 3194, 6796, 5253, 3163, 3194, 5149, 267, 6601, 573, 339, 568, 3384, 513, 2780, 2861, 6310, 2203, 602, 22179, 1585, 2188, 547, 5173, 519, 2208, 3928, 543, 5872, 540, 1434, 543, 3983, 4551, 563, 24281, 9759, 267, 519, 2203, 6645, 721, 1018, 781, 2469, 593, 1063, 519, 14471, 282, 875, 789, 6370, 543, 21391, 1142, 824, 267, 543, 2436, 789, 849, 21391, 2933, 2437, 646, 3081, 269, 634, 2203, 849, 8761, 799, 5007, 2188, 4534, 971, 607, 2825, 9063, 610, 3940, 730, 7408, 4534, 1404, 513, 1713, 1909, 538, 9190, 2208, 269, 9122, 593, 782, 713, 1239, 267, 3173, 786, 581, 2111, 547, 3442, 678, 14260, 799, 700, 5723, 568, 1655, 14018, 585, 32485, 4551, 538, 513, 2016, 1604, 563, 1103, 4334, 547, 6601, 573, 339, 781, 6069, 700, 5723, 2126, 267, 1034, 1426, 1606, 23245, 5574, 1631, 1031, 593, 4195, 610, 30194, 9268, 3132, 7048, 593, 12104, 3130, 543, 11067, 4534, 5773, 799, 723, 1044, 3254, 547, 581, 7361, 23696, 693, 4227, 9190, 5095, 563, 17954, 573, 339, 543, 1010, 9164, 849, 616, 14236, 519, 946, 540, 5027, 2062, 985, 923, 547, 6218, 700, 5723, 781, 12117, 607, 513, 1979, 665, 2632, 1503, 563, 293, 27448, 585, 1010, 1382, 2501, 689, 513, 1079, 4458, 267, 1269, 10436, 267, 1822, 9886, 689, 519, 22340, 781, 2817, 3194, 19541, 14847, 1438, 6182, 1218, 5358, 563, 734, 23058, 553, 4534, 0, 1432, 568, 3194, 5071, 888, 288, 1382, 1374, 568, 519, 11460, 454, 1993, 2175, 585, 4015, 543, 454, 534, 4519, 540, 1239, 538, 513, 6073, 602, 6663, 454, 1729, 9192, 10083, 547, 519, 1382, 454, 335, 17123, 609, 4346, 538, 5650, 563, 10932, 5071, 4790, 13699, 5463, 2888, 454, 1432, 267, 7316, 267, 1879, 267, 1215, 267, 1215, 1454, 454, 1892, 589, 1382, 1374, 568, 519, 5943, 454, 528, 1544, 585, 513, 1353, 1031, 607, 513, 3391, 538, 454, 3712, 22162, 543, 7421, 1239, 563, 23921, 585, 3194, 5071, 912, 1892, 898, 16881, 519, 5347, 2095, 540, 454, 341, 13895, 1382, 3157, 563, 1892, 898, 1131, 1267, 538, 811, 4977, 454, 29798, 609, 5934, 6165, 540, 942, 2676, 27889, 677, 543, 2724, 454, 15650, 540, 3194, 5071, 338, 912, 2467, 616, 1614, 2596, 2010, 540, 454, 1892, 634, 3804, 540, 30405, 1382, 568, 547, 454, 4134, 16225, 2093, 543, 4030, 563, 1892, 29149, 1382, 568, 2356, 7255, 454, 5976, 10503, 513, 2551, 609, 2463, 454, 1729, 1271, 4632, 563, 1892, 6970, 10650, 1382, 568, 1031, 547, 3715, 454, 322, 1021, 7146, 13716, 3347, 1063, 454, 272, 1548, 568, 2469, 593, 630, 9188, 20696, 1382, 25145, 273, 4208, 568, 621, 2469, 593, 630, 30161, 528, 2218, 1382, 25145, 1892, 4112, 528, 2218, 1382, 568, 1034, 4122, 454, 684, 560, 19099, 267, 968, 514, 845, 531, 892, 1382, 602, 454, 529, 17298, 547, 2744, 4282, 454, 15574, 827, 519, 2489, 2470, 454, 1993, 519, 1382, 1966, 563, 1892, 4112, 528, 2218, 1382, 568, 2356, 454, 17238, 539, 950, 519, 11001, 1281, 454, 2254, 917, 1454, 827, 519, 1966, 543, 454, 928, 2644, 3606, 1344, 610, 13821, 454, 2908, 610, 811, 2487, 1344, 563, 1892, 4112, 528, 2218, 1382, 568, 5342, 547, 1683, 513, 454, 321, 21392, 1620, 540, 513, 3510, 269, 898, 3884, 1406, 454, 9188, 11220, 547, 2097, 909, 609, 3803, 4267, 610, 454, 7437, 30405, 1382, 267, 3173, 4126, 454, 1729, 3132, 19165, 827, 1018, 568, 2469, 593, 454, 514, 513, 3510, 563, 1892, 16709, 568, 3226, 3730, 950, 29622, 454, 331, 871, 513, 2312, 2856, 540, 519, 2042, 789, 786, 2743, 454, 323, 1005, 519, 1353, 563, 1892, 3414, 3408, 519, 3173, 1020, 454, 935, 32383, 811, 5693, 267, 3715, 14422, 2676, 16467, 10512, 8847, 267, 543, 2087, 519, 454, 325, 1400, 1382, 1374, 563, 1892, 4112, 528, 2218, 1382, 630, 27271, 5219, 547, 607, 454, 23974, 5511, 1382, 264, 12582, 1406, 581, 4397, 547, 454, 25075, 728, 4267, 547, 519, 3375, 1966, 602, 596, 454, 732, 12394, 547, 4194, 585, 513, 7817, 269, 898, 666, 454, 25075, 728, 1360, 3638, 267, 6209, 1344, 29932, 1256, 454, 3698, 514, 1438, 3137, 1765, 1721, 1880, 2043, 454, 263, 2108, 296, 13842, 519, 2025, 1922, 5831, 539, 18908, 1782, 540, 602, 1286, 3248, 7474, 779, 1946, 594, 4465, 1406, 4444, 835, 25257, 855, 30405, 454, 516, 14142, 3085, 1406, 1683, 17046, 4267, 585, 454, 1492, 2949, 2551, 563, 1892, 1703, 616, 1079, 4128, 585, 713, 912, 263, 272, 264, 4112, 528, 2218, 1382, 2356, 3322, 454, 21671, 513, 5266, 1507, 1895, 540, 1004, 2676, 263, 273, 264, 891, 1004, 616, 3592, 2760, 454, 12690, 569, 5697, 547, 7119, 563, 7336, 528, 2218, 5071, 281, 2552, 323, 7498, 1892, 4112, 528, 2218, 1382, 568, 1031, 538, 513, 454, 15893, 540, 3871, 912, 326, 664, 4282, 1344, 454, 743, 541, 1518, 2042, 543, 19165, 454, 652, 28344, 1382, 14422, 454, 7336, 528, 2218, 5071, 281, 2552, 323, 7498, 288, 3099, 540, 2409, 616, 2139, 547, 454, 17238, 30405, 1382, 912, 1892, 18520, 4578, 5811, 454, 1892, 15232, 24028, 903, 22230, 3704, 19877, 338, 454, 1892, 8865, 5811, 454, 1892, 10312, 20492, 454, 1892, 29149, 1382, 568, 17298, 547, 454, 25075, 728, 4267, 547, 2055, 540, 945, 267, 1018, 2676, 3602, 267, 950, 267, 543, 875, 1107, 855, 711, 1946, 563, 1892, 898, 568, 513, 1382, 1374, 538, 799, 519, 2101, 454, 655, 3508, 529, 568, 593, 8159, 519, 4908, 454, 5976, 799, 1945, 4386, 610, 519, 6708, 454, 1729, 799, 1079, 4632, 3382, 563, 1892, 29149, 1382, 17648, 602, 519, 454, 516, 572, 2117, 615, 814, 1454, 1991, 1702, 454, 12671, 519, 1966, 3510, 269, 769, 1249, 267, 513, 454, 332, 1994, 3017, 1063, 30405, 543, 454, 9188, 20696, 1382, 568, 602, 10855, 454, 516, 14142, 568, 6353, 676, 1991, 454, 845, 1637, 540, 1808, 19165, 269, 4935, 454, 1492, 1344, 2877, 568, 5693, 3989, 563, 2026, 513, 1267, 267, 10855, 1382, 568, 840, 454, 680, 10165, 543, 11295, 454, 1892, 29149, 1382, 538, 4334, 547, 454, 30161, 528, 2218, 1382, 568, 6825, 676, 513, 2312, 454, 8063, 618, 540, 519, 1966, 267, 1808, 454, 1506, 13607, 12330, 267, 543, 2143, 1344, 454, 1892, 589, 10855, 1374, 3340, 513, 2312, 454, 14588, 322, 2305, 540, 519, 945, 267, 1018, 267, 950, 2676, 3602, 267, 1946, 267, 543, 1259, 630, 1492, 3670, 654, 338, 264, 540, 519, 454, 933, 946, 10855, 1382, 585, 454, 1492, 1739, 5301, 912, 272, 269, 11683, 6662, 568, 547, 4766, 930, 3364, 454, 17141, 2344, 4162, 610, 3252, 454, 273, 269, 1677, 4766, 519, 4162, 540, 1978, 454, 274, 269, 1677, 3313, 519, 8167, 540, 1004, 945, 454, 2041, 17647, 538, 513, 1978, 1259, 563, 275, 269, 1677, 1118, 1808, 11236, 454, 276, 269, 1677, 3313, 3347, 1063, 454, 1892, 15380, 267, 513, 3444, 22891, 1353, 454, 28717, 11510, 5373, 513, 3732, 540, 2609, 454, 5228, 519, 2551, 540, 1719, 563, 23322, 2524, 540, 519, 2609, 267, 610, 454, 338, 2217, 2818, 267, 616, 6027, 1152, 2899, 563, 1892, 589, 19976, 1353, 267, 593, 519, 824, 454, 8518, 267, 3322, 513, 8470, 267, 799, 568, 513, 6378, 454, 338, 2217, 540, 2609, 563, 763, 2609, 949, 581, 8637, 267, 4308, 619, 2676, 785, 1339, 338, 267, 610, 824, 9988, 563, 1892, 634, 1353, 540, 1689, 936, 942, 568, 1572, 19976, 454, 534, 4519, 269, 769, 713, 2631, 267, 19976, 2090, 4125, 454, 1492, 1353, 540, 513, 1184, 540, 1689, 936, 513, 1974, 540, 454, 5503, 269, 6270, 3466, 666, 849, 581, 4767, 676, 9236, 454, 1492, 2164, 540, 12220, 602, 616, 5342, 538, 454, 29323, 622, 1296, 269, 634, 2832, 540, 713, 1957, 568, 547, 1448, 856, 454, 1492, 2956, 540, 10647, 19976, 12220, 454, 1721, 513, 3099, 540, 3871, 267, 543, 519, 2956, 540, 454, 1952, 2391, 519, 2953, 8579, 2553, 585, 1239, 454, 984, 22633, 689, 19976, 12220, 563, 1892, 7043, 15994, 2090, 14578, 2721, 454, 338, 2217, 4559, 540, 513, 2551, 936, 942, 563, 1892, 2290, 1505, 568, 547, 2721, 1114, 4559, 454, 5228, 519, 1482, 10386, 7406, 563, 1892, 589, 2034, 1505, 568, 547, 946, 513, 968, 3966, 601, 892, 1141, 454, 1492, 1482, 1004, 616, 4280, 547, 4431, 454, 1892, 2201, 11060, 5619, 1382, 10909, 15313, 454, 3966, 601, 2818, 547, 4431, 547, 2228, 454, 2467, 616, 1079, 2010, 540, 8440, 912, 288, 6378, 3732, 540, 454, 5503, 609, 2463, 454, 1729, 519, 1482, 454, 288, 6378, 3732, 540, 454, 22046, 757, 945, 616, 454, 1478, 942, 267, 855, 593, 454, 19702, 1963, 602, 1689, 454, 1892, 9061, 22891, 2090, 2268, 4559, 689, 454, 320, 3732, 540, 519, 2551, 693, 1152, 835, 1448, 454, 1892, 12726, 12220, 616, 3444, 22891, 2090, 454, 3369, 846, 5439, 616, 6537, 538, 971, 513, 1259, 607, 547, 454, 2041, 11347, 540, 513, 1808, 2551, 563, 1892, 2201, 11060, 5619, 1382, 568, 1373, 1031, 547, 454, 3712, 937, 1239, 585, 3444, 22891, 12220, 693, 513, 454, 325, 2120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4170, 538, 2230, 1831, 811, 14053, 267, 855, 585, 519, 2407, 4324, 547, 581, 6508, 689, 547, 5488, 8713, 5825, 1489, 11387, 1590, 581, 2919, 602, 666, 6474, 741, 3432, 4170, 269, 589, 1883, 5057, 2838, 547, 3035, 1164, 1062, 998, 1584, 568, 513, 21461, 3965, 2773, 2173, 520, 3481, 547, 519, 17765, 267, 1519, 3432, 267, 5982, 10892, 543, 1379, 4616, 269, 2598, 4740, 21461, 8823, 723, 1044, 20749, 2139, 585, 1082, 1296, 3710, 1210, 1585, 3157, 269, 4107, 2472, 2221, 616, 3710, 538, 18328, 5308, 855, 798, 711, 5838, 519, 11250, 543, 5982, 10892, 2838, 540, 2104, 2230, 17263, 1949, 269, 634, 3804, 540, 713, 1788, 568, 547, 1374, 543, 3132, 21461, 3965, 5827, 540, 5885, 1164, 2773, 2230, 17263, 8713, 5825, 609, 1100, 7227, 15581, 3965, 1569, 525, 269, 595, 5995, 3965, 7306, 1590, 581, 6190, 547, 1450, 519, 17765, 547, 7500, 693, 6099, 3432, 1247, 5870, 782, 540, 519, 5982, 267, 2837, 543, 1379, 3761, 6724, 540, 519, 2404, 5547, 787, 269, 5843, 7304, 17584, 19299, 1374, 6791, 267, 7214, 3959, 543, 1374, 2645, 5827, 540, 5466, 891, 3056, 268, 6316, 3853, 609, 5838, 1963, 5827, 540, 5885, 1062, 4170, 538, 519, 2062, 5408, 762, 2104, 269, 645, 2894, 9128, 3951, 281, 24822, 540, 21461, 3965, 2773, 2173, 520, 3481, 547, 1164, 3432, 5982, 2182, 2989, 8713, 5825, 786, 1489, 2799, 998, 1584, 540, 10618, 9055, 538, 9682, 1098, 335, 1180, 619, 607, 1134, 607, 1489, 824, 2010, 540, 12337, 25673, 3156, 971, 607, 3239, 4393, 543, 4199, 2359, 269, 589, 1164, 5860, 476, 1626, 25253, 1395, 18070, 22804, 4456, 700, 273, 21461, 602, 666, 1685, 1569, 525, 693, 519, 12463, 308, 4295, 4908, 786, 3648, 2087, 1062, 4393, 2773, 563, 288, 11765, 281, 4972, 540, 16470, 1923, 25032, 281, 5794, 10414, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 4083, 1923, 13815, 2549, 870, 281, 476, 278, 5392, 269, 9834, 298, 1923, 5729, 281, 476, 1001, 272, 454, 5723, 22552, 16898, 281, 5843, 7304, 17584, 786, 1020, 513, 1970, 1379, 267, 5982, 2182, 2989, 3965, 735, 32078, 5078, 585, 946, 538, 1699, 543, 2104, 9682, 13485, 269, 634, 3965, 735, 32078, 666, 3533, 5352, 11251, 3965, 7161, 2182, 2989, 1996, 11192, 594, 517, 1944, 667, 846, 2360, 267, 17266, 7926, 772, 1186, 1115, 267, 17266, 7926, 700, 2255, 5346, 267, 543, 17266, 7926, 3690, 1801, 269, 634, 3965, 29085, 7028, 513, 3099, 540, 1114, 10305, 1519, 2262, 3259, 267, 2460, 5223, 267, 543, 3965, 2010, 585, 1896, 1336, 787, 3157, 543, 4183, 7306, 547, 2743, 1585, 3498, 543, 5982, 4170, 269, 634, 645, 20067, 476, 5611, 333, 332, 2029, 543, 519, 22126, 476, 3445, 333, 332, 10089, 330, 7132, 22126, 476, 3393, 333, 332, 14298, 296, 3157, 786, 1142, 723, 606, 22804, 4456, 29085, 547, 1683, 513, 631, 9298, 305, 4696, 1377, 24658, 10434, 2989, 268, 3528, 268, 17637, 3070, 269, 1452, 11251, 22804, 4456, 7161, 2901, 723, 1044, 267, 610, 786, 581, 29959, 543, 20240, 547, 2743, 519, 5982, 2182, 2989, 2157, 540, 713, 1151, 545, 2787, 269, 634, 22126, 476, 3393, 333, 332, 476, 1321, 12569, 296, 1184, 568, 849, 6462, 547, 1683, 606, 4359, 2620, 1016, 2173, 545, 1258, 14298, 296, 5010, 1336, 787, 3070, 269, 634, 5843, 7304, 17584, 29085, 786, 3761, 782, 540, 519, 8950, 589, 3660, 5071, 630, 21020, 264, 6119, 2838, 547, 11753, 609, 3044, 6789, 2975, 1374, 8928, 269, 645, 2894, 9128, 3951, 281, 4400, 2773, 6789, 2975, 338, 616, 4397, 547, 1683, 1034, 540, 519, 4393, 3252, 538, 4359, 9682, 1949, 269, 1452, 3457, 2154, 1804, 5666, 540, 593, 7302, 760, 3965, 547, 2061, 3965, 19961, 7687, 689, 588, 16226, 519, 21932, 269, 769, 519, 5010, 7706, 267, 3965, 735, 32078, 616, 1031, 547, 3533, 543, 8850, 1374, 11251, 3965, 7161, 609, 513, 3099, 540, 1114, 10305, 1519, 2262, 2450, 267, 2460, 5223, 267, 3965, 1826, 267, 1569, 942, 267, 543, 1379, 4744, 11692, 269, 6789, 2975, 338, 585, 2230, 3156, 616, 711, 6462, 676, 3044, 5010, 3965, 735, 32078, 269, 901, 568, 1813, 547, 519, 8374, 2404, 609, 3384, 735, 32078, 547, 6451, 519, 2189, 3344, 540, 2230, 11418, 971, 607, 5982, 21052, 267, 1970, 1379, 267, 543, 10727, 269, 634, 8899, 5295, 267, 24658, 10434, 2989, 15350, 3281, 8814, 2919, 896, 713, 4674, 2488, 513, 1942, 2500, 1797, 585, 1062, 9858, 547, 1020, 24658, 10434, 2989, 6789, 2975, 338, 585, 2230, 1949, 269, 5843, 7304, 17584, 786, 3986, 543, 2226, 519, 24658, 10434, 2989, 2506, 5523, 4765, 15350, 3281, 8814, 607, 21753, 4066, 4434, 7616, 891, 2238, 856, 540, 5010, 6455, 269, 901, 786, 1683, 606, 909, 3562, 15082, 29085, 4830, 540, 21753, 9744, 602, 8952, 547, 4266, 609, 1942, 15807, 4320, 540, 4336, 5663, 585, 24658, 10434, 2989, 2506, 5523, 4765, 15350, 563, 288, 11765, 281, 4972, 540, 16470, 1923, 25032, 281, 5794, 10414, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 4083, 1923, 13815, 2549, 870, 281, 476, 278, 5392, 269, 9834, 298, 1923, 5729, 281, 476, 1001, 276, 454, 5723, 22552, 16898, 281, 634, 661, 5174, 663, 4908, 13164, 689, 476, 10170, 547, 476, 10602, 717, 13703, 543, 476, 10037, 547, 476, 10436, 717, 13703, 723, 1044, 11280, 585, 9682, 1524, 268, 543, 10575, 3855, 267, 543, 723, 6591, 606, 2799, 1719, 269, 634, 2647, 19961, 538, 4430, 540, 476, 272, 294, 13703, 2636, 519, 946, 540, 1970, 1931, 25244, 14565, 543, 2241, 17513, 6388, 269, 769, 824, 1913, 267, 1071, 32242, 1323, 11530, 547, 7913, 4780, 1562, 630, 4696, 290, 264, 543, 7913, 547, 1323, 11530, 630, 291, 3722, 264, 4780, 1562, 666, 581, 1031, 538, 519, 16674, 4395, 1439, 269, 769, 713, 1382, 267, 649, 786, 1374, 519, 5084, 290, 543, 667, 3722, 1210, 5822, 11352, 18647, 590, 7950, 3525, 1637, 2553, 799, 3035, 6697, 1164, 16136, 600, 7204, 676, 4946, 2789, 10092, 543, 19900, 10386, 1247, 5329, 519, 3490, 10386, 4908, 1970, 269, 634, 6662, 568, 547, 1039, 10092, 547, 2743, 519, 10421, 585, 476, 272, 294, 13703, 19961, 543, 476, 280, 11353, 2500, 1297, 540, 11353, 269, 2060, 18647, 590, 7950, 3525, 1637, 649, 666, 1374, 1395, 18070, 3590, 593, 513, 932, 760, 3435, 609, 7471, 5084, 12336, 543, 667, 3722, 338, 269, 634, 1164, 5860, 540, 519, 2029, 6843, 666, 581, 23699, 585, 7598, 519, 3590, 593, 513, 932, 760, 5827, 540, 4393, 519, 1164, 6512, 8700, 6786, 543, 3246, 519, 1164, 3432, 3984, 8818, 585, 2230, 25645, 2792, 1949, 269, 634, 18647, 590, 7950, 3525, 22399, 786, 581, 7148, 539, 856, 538, 519, 24658, 10434, 2989, 476, 3953, 333, 332, 14298, 296, 18328, 5308, 1184, 269, 645, 2894, 9128, 3951, 281, 9442, 538, 519, 661, 5174, 663, 814, 3964, 3294, 711, 1152, 538, 1448, 547, 1448, 18714, 6402, 267, 855, 849, 9682, 6402, 547, 2666, 543, 954, 9682, 10618, 269, 634, 5084, 290, 543, 667, 3722, 338, 2919, 538, 713, 1788, 723, 513, 3395, 2344, 538, 5010, 661, 5174, 663, 10618, 269, 1635, 8888, 519, 5084, 290, 543, 667, 3722, 1210, 519, 24658, 10434, 2989, 476, 3953, 333, 332, 14298, 296, 1184, 267, 1395, 18070, 3590, 593, 513, 932, 760, 3435, 609, 7471, 5084, 290, 543, 667, 3722, 338, 666, 581, 2919, 602, 4688, 593, 1942, 267, 1379, 543, 2450, 1247, 8236, 519, 3818, 8566, 13703, 19961, 4170, 585, 661, 5174, 663, 2792, 538, 6611, 269, 9603, 547, 519, 1164, 19961, 2838, 538, 661, 5174, 663, 267, 519, 5084, 290, 543, 667, 3722, 338, 2966, 538, 713, 1788, 666, 811, 982, 14183, 519, 7569, 585, 31923, 543, 476, 276, 294, 1395, 18070, 3590, 593, 513, 932, 760, 5925, 3435, 1141, 649, 666, 4123, 4752, 19961, 585, 1256, 811, 1379, 9806, 269, 4475, 267, 519, 3747, 585, 519, 13365, 8831, 3564, 661, 1532, 663, 543, 666, 4324, 689, 2362, 12531, 538, 891, 13164, 547, 4228, 519, 2344, 543, 2569, 3790, 269, 0, 2641, 30645, 3427, 21989, 17776, 1753, 1310, 1079, 1296, 538, 24811, 295, 4275, 31670, 2006, 910, 476, 272, 288, 15089, 12771, 454, 16829, 593, 281, 5239, 476, 2420, 267, 476, 1001, 277, 454, 1103, 4989, 476, 1001, 275, 267, 476, 28510, 4775, 1053, 540, 519, 6554, 18520, 3427, 932, 756, 758, 941, 32043, 11474, 676, 645, 32634, 4498, 600, 689, 741, 3984, 601, 269, 634, 2527, 705, 9134, 5612, 4607, 3486, 3007, 543, 519, 1948, 289, 2590, 12988, 5978, 294, 597, 3149, 1514, 2923, 5859, 729, 9250, 538, 3210, 563, 4002, 5239, 476, 1724, 267, 476, 1001, 277, 267, 476, 2641, 540, 519, 932, 756, 758, 1153, 6690, 32043, 11474, 676, 645, 32634, 4498, 600, 941, 5950, 543, 22653, 1243, 609, 741, 3885, 269, 32468, 9911, 1063, 645, 32634, 4498, 600, 543, 519, 30645, 2229, 3459, 1310, 519, 1895, 5950, 513, 3381, 6029, 19421, 540, 519, 6690, 269, 769, 519, 3381, 267, 513, 9633, 539, 812, 2219, 547, 581, 519, 24288, 547, 2806, 889, 6033, 2701, 330, 879, 630, 1492, 6205, 540, 645, 32634, 4498, 600, 264, 3091, 547, 4123, 519, 3061, 1161, 538, 5385, 585, 519, 5305, 540, 741, 795, 9229, 25881, 269, 634, 4139, 4414, 9061, 543, 519, 18230, 6554, 941, 849, 3769, 538, 519, 16395, 563, 16729, 741, 5305, 267, 519, 6690, 543, 741, 3885, 941, 18799, 676, 519, 30645, 7022, 267, 17124, 340, 645, 7795, 926, 267, 693, 519, 30814, 966, 8759, 538, 26512, 10937, 269, 634, 5518, 849, 7150, 602, 968, 763, 8549, 6554, 786, 11222, 4106, 622, 873, 267, 543, 2327, 602, 741, 556, 15759, 1674, 1394, 547, 2486, 568, 2944, 607, 3533, 607, 2009, 6100, 634, 2229, 568, 849, 14322, 519, 5539, 585, 741, 2123, 267, 3872, 543, 3318, 3853, 543, 519, 6690, 786, 581, 2016, 2564, 267, 9422, 543, 5626, 1416, 543, 1489, 563, 19013, 585, 519, 6690, 267, 741, 8194, 1281, 711, 1439, 609, 741, 5305, 267, 2094, 789, 616, 711, 11967, 676, 741, 2146, 269, 1306, 513, 1267, 540, 519, 4250, 543, 23998, 2509, 645, 32634, 4498, 600, 267, 519, 932, 756, 758, 10034, 15161, 4250, 602, 519, 5449, 3061, 1161, 949, 581, 896, 519, 3310, 540, 645, 32634, 4498, 600, 543, 1223, 4323, 519, 2146, 269, 3958, 267, 519, 6690, 723, 1831, 513, 3077, 540, 13842, 1813, 547, 519, 2686, 16663, 4478, 4638, 5208, 269, 634, 6690, 616, 1419, 1572, 968, 289, 32634, 4498, 600, 24726, 5608, 3771, 21724, 543, 3006, 1256, 29041, 269, 769, 606, 3801, 547, 1118, 519, 2950, 811, 16561, 540, 519, 5449, 3061, 1161, 267, 4139, 1325, 1068, 267, 6167, 32019, 13280, 543, 824, 2199, 2516, 543, 4543, 519, 6690, 1106, 1489, 2516, 563, 3412, 9712, 2299, 1310, 519, 32043, 6260, 267, 2701, 330, 879, 7150, 602, 519, 1153, 326, 597, 3149, 941, 32043, 11474, 547, 581, 4421, 883, 8474, 269, 1717, 267, 2094, 519, 10071, 814, 4547, 2101, 2923, 3007, 267, 519, 17740, 656, 1895, 814, 1031, 741, 2797, 1871, 547, 21907, 26956, 15377, 609, 519, 30645, 6554, 269, 589, 2698, 540, 476, 6872, 1153, 326, 597, 3149, 7307, 547, 9101, 538, 519, 3275, 1739, 741, 3355, 7001, 269, 769, 2904, 476, 1001, 277, 267, 835, 540, 519, 7508, 6690, 267, 2549, 2088, 18498, 267, 10645, 602, 1034, 540, 519, 6967, 6690, 941, 1869, 9800, 267, 4352, 3670, 1185, 5747, 563, 4263, 519, 4090, 267, 519, 30645, 2229, 568, 27410, 519, 5305, 540, 476, 10695, 540, 519, 6967, 476, 25546, 1153, 326, 597, 3149, 282, 2705, 267, 3105, 7858, 328, 2209, 538, 8959, 12909, 723, 7150, 602, 811, 602, 476, 1911, 540, 519, 6690, 2408, 31464, 547, 4734, 645, 32634, 4498, 600, 269, 634, 2693, 7778, 585, 713, 568, 602, 789, 949, 581, 11849, 3139, 547, 2132, 1753, 1310, 1373, 7142, 547, 19533, 519, 25881, 543, 7703, 741, 1453, 563, 2690, 519, 942, 1373, 267, 645, 32634, 4498, 600, 814, 1044, 3648, 18604, 543, 568, 5258, 269, 898, 568, 2693, 602, 789, 786, 3136, 547, 13358, 741, 2797, 3854, 538, 606, 3801, 547, 7794, 741, 7952, 269, 1306, 811, 6690, 1205, 5950, 267, 789, 786, 23366, 2154, 5626, 543, 1514, 1489, 547, 948, 873, 9156, 689, 519, 8194, 789, 28815, 1247, 538, 24811, 269, 0, 763, 1459, 1353, 568, 519, 1101, 1279, 3856, 19976, 6514, 540, 519, 1696, 5735, 540, 1367, 3604, 538, 1893, 689, 2038, 6689, 998, 547, 18273, 269, 1284, 4294, 513, 1617, 21725, 24353, 3815, 4719, 2203, 547, 19976, 1239, 689, 519, 3828, 1231, 7216, 4886, 5530, 538, 1931, 547, 630, 320, 264, 5635, 519, 9588, 540, 4719, 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, 763, 1650, 540, 519, 16756, 532, 28876, 9290, 543, 519, 4720, 540, 519, 3109, 2206, 2280, 616, 1152, 1079, 540, 519, 5396, 538, 713, 2502, 1433, 593, 519, 1909, 540, 9660, 538, 938, 1686, 269, 9050, 10117, 12206, 267, 9754, 1225, 2209, 543, 3173, 2328, 827, 519, 1259, 538, 799, 9660, 7866, 543, 2697, 267, 18220, 2245, 543, 3965, 267, 616, 1312, 2199, 543, 2518, 269, 1358, 1865, 519, 9660, 540, 15292, 532, 6690, 543, 5641, 25498, 267, 519, 946, 540, 519, 737, 2830, 267, 519, 1650, 540, 513, 8575, 9461, 27972, 752, 543, 540, 606, 17305, 6210, 16027, 781, 9058, 4015, 540, 476, 3192, 271, 338, 1164, 6752, 23157, 269, 634, 1433, 568, 3638, 569, 11609, 609, 6752, 11147, 267, 22099, 543, 27977, 563, 16576, 2177, 310, 312, 301, 700, 5723, 305, 9331, 568, 9972, 32082, 538, 519, 3427, 540, 10439, 543, 7698, 9177, 693, 16549, 8124, 2160, 267, 654, 2454, 2023, 269, 674, 12778, 288, 14330, 298, 2207, 294, 8582, 729, 1514, 1686, 1225, 1807, 693, 634, 3163, 10418, 543, 2494, 1177, 520, 340, 7467, 543, 1631, 30128, 2407, 6066, 585, 1200, 1079, 1507, 1453, 269, 5254, 7968, 295, 3198, 23966, 22542, 7034, 2177, 568, 513, 1686, 1225, 1807, 693, 519, 7467, 540, 1715, 10215, 1855, 14466, 320, 26280, 732, 11445, 269, 0, 4910, 738, 676, 11090, 1948, 613, 5852, 476, 275, 2164, 454, 268, 16816, 3363, 540, 513, 6906, 454, 1607, 2228, 9498, 1939, 525, 519, 3259, 540, 513, 15820, 540, 513, 6906, 267, 2016, 519, 13080, 540, 8728, 540, 513, 6906, 563, 268, 8562, 983, 10126, 454, 4692, 5173, 1858, 267, 9095, 3259, 267, 577, 867, 3259, 267, 4463, 543, 15943, 540, 9764, 10126, 676, 8953, 543, 5086, 563, 268, 11730, 540, 12166, 5546, 454, 15612, 919, 4320, 540, 12166, 5546, 281, 13306, 267, 24388, 267, 18158, 267, 2927, 560, 636, 267, 13409, 267, 12718, 267, 12106, 267, 14248, 760, 810, 573, 269, 0, 6624, 540, 519, 1007, 2553, 1759, 593, 29113, 602, 723, 1044, 2919, 585, 5488, 543, 811, 6213, 7020, 540, 13596, 3111, 538, 1554, 3562, 6377, 4791, 946, 1317, 789, 2154, 1950, 3732, 7041, 610, 6482, 3937, 267, 610, 3274, 3112, 1832, 909, 609, 519, 1804, 3732, 998, 1584, 538, 513, 16758, 563, 12867, 2324, 609, 25453, 1284, 1170, 1194, 518, 693, 12370, 6481, 3427, 723, 1631, 2919, 513, 1360, 2241, 1184, 585, 519, 4028, 7020, 540, 13596, 602, 3340, 1100, 2417, 3732, 7041, 269, 1306, 4080, 538, 519, 4760, 1323, 613, 342, 663, 974, 6314, 773, 267, 713, 4480, 568, 1759, 593, 6419, 20543, 543, 513, 6046, 6419, 16982, 630, 301, 17307, 264, 6482, 563, 2690, 741, 4255, 267, 519, 3173, 1031, 519, 536, 26808, 2836, 5471, 974, 8566, 340, 2946, 12541, 630, 6195, 294, 1070, 513, 1250, 322, 14385, 1756, 3957, 1310, 922, 9367, 267, 799, 729, 31796, 689, 536, 990, 710, 21061, 536, 659, 650, 328, 538, 519, 2038, 14206, 2540, 269, 901, 568, 513, 18604, 8833, 602, 568, 1031, 607, 513, 2661, 6669, 1996, 21061, 269, 769, 1840, 267, 621, 5713, 607, 513, 2203, 585, 519, 3020, 21061, 19800, 29901, 14385, 1756, 21061, 585, 1382, 5301, 563, 763, 1449, 568, 713, 2241, 281, 589, 3732, 568, 17861, 730, 538, 513, 3070, 602, 3568, 2027, 6419, 20543, 269, 1452, 20543, 2874, 540, 606, 4401, 4295, 11303, 676, 513, 7387, 540, 7542, 1679, 267, 799, 568, 606, 4401, 12547, 269, 634, 3173, 7923, 4550, 5174, 290, 294, 12489, 547, 519, 7252, 540, 519, 20543, 269, 1403, 7460, 294, 4551, 616, 1459, 538, 519, 3732, 267, 519, 12489, 12622, 547, 873, 267, 3976, 30015, 873, 609, 6419, 5536, 269, 634, 5277, 568, 1287, 5189, 998, 2890, 577, 2335, 1564, 883, 519, 6263, 12068, 540, 513, 2890, 22381, 573, 545, 13863, 269, 2311, 519, 14827, 540, 519, 12068, 568, 513, 9245, 602, 25601, 519, 4551, 1247, 519, 1964, 540, 519, 3070, 267, 1519, 4430, 6419, 5536, 267, 10596, 998, 269, 634, 4551, 3976, 1831, 13671, 538, 519, 12068, 563, 763, 12068, 568, 11303, 676, 513, 1507, 16509, 267, 799, 7472, 519, 6419, 2361, 2838, 585, 6046, 6419, 16982, 7403, 630, 13678, 1791, 547, 513, 4791, 18909, 31554, 1040, 634, 4551, 267, 609, 741, 7923, 6419, 5536, 267, 3310, 519, 2623, 540, 519, 6046, 30809, 540, 519, 1216, 6675, 538, 519, 12068, 269, 901, 666, 581, 9571, 2047, 593, 519, 13863, 676, 1797, 540, 519, 1688, 18988, 9910, 4405, 1242, 715, 17307, 1062, 269, 898, 729, 3976, 2009, 547, 3713, 476, 736, 536, 659, 650, 328, 538, 513, 838, 583, 636, 3732, 1369, 476, 1789, 3764, 563, 12041, 281, 25453, 1284, 1170, 1194, 518, 267, 12370, 6481, 3427, 267, 11785, 630, 24433, 1070, 5291, 2517, 14369, 321, 6230, 724, 269, 9618, 10542, 12975, 270, 933, 1170, 1194, 518, 454, 17138, 281, 8299, 6652, 17567, 24544, 540, 29318, 4635, 11759, 1700, 9515, 961, 15089, 641, 14895, 543, 606, 715, 17307, 6363, 559, 614, 3590, 454, 2304, 613, 342, 663, 974, 6314, 773, 4139, 9990, 476, 1220, 280, 267, 476, 4366, 267, 3143, 269, 476, 4029, 267, 476, 276, 4792, 278, 1700, 276, 5780, 271, 267, 8222, 281, 476, 1015, 269, 1911, 273, 270, 534, 773, 269, 1220, 3445, 272, 8064, 272, 454, 3080, 1900, 6251, 547, 4641, 454, 736, 269, 6860, 269, 1001, 279, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 9980, 19213, 331, 31258, 6798, 860, 773, 454, 763, 4158, 2427, 540, 524, 747, 331, 573, 3165, 281, 689, 28994, 756, 531, 547, 27877, 454, 736, 269, 6860, 269, 1001, 279, 1923, 16076, 514, 7564, 3944, 539, 714, 17430, 3832, 10713, 28059, 654, 1329, 454, 17206, 540, 21086, 3173, 723, 2813, 513, 27500, 12432, 1500, 540, 16536, 11103, 602, 666, 581, 1031, 547, 7816, 7745, 4452, 24481, 7633, 1510, 519, 8374, 3006, 4843, 676, 824, 2326, 563, 11847, 1515, 532, 2101, 4452, 24481, 7633, 971, 607, 1346, 538, 519, 1850, 666, 581, 513, 1279, 543, 13943, 1184, 563, 19138, 3370, 538, 519, 4760, 589, 5425, 11930, 10049, 1299, 3955, 5865, 568, 519, 6364, 540, 606, 3486, 4674, 602, 3769, 6887, 689, 667, 637, 6577, 543, 12670, 538, 5125, 267, 543, 519, 2475, 563, 14722, 693, 519, 29581, 3128, 16379, 19053, 550, 5300, 667, 637, 6577, 7304, 1601, 754, 21807, 630, 295, 313, 11403, 264, 1927, 609, 9164, 689, 519, 29581, 3128, 16379, 19053, 550, 5300, 12670, 630, 295, 313, 289, 264, 543, 519, 2160, 540, 9098, 2483, 5591, 767, 3810, 3608, 543, 13085, 18325, 11920, 2707, 281, 9122, 593, 2203, 9273, 267, 21575, 540, 519, 7665, 28697, 534, 1188, 4659, 585, 17437, 8212, 538, 1261, 14988, 6199, 15974, 513, 3209, 1505, 585, 606, 3608, 1164, 1532, 18115, 4800, 18325, 11920, 2707, 269, 589, 9649, 2458, 13846, 18325, 11920, 13942, 568, 6383, 689, 519, 5872, 540, 513, 10053, 16600, 3146, 26245, 643, 2065, 6475, 11237, 609, 513, 6094, 4396, 18364, 269, 2037, 1120, 2045, 18325, 17530, 616, 2941, 13124, 3812, 607, 519, 6475, 11237, 10943, 1080, 883, 2083, 14613, 1247, 9070, 908, 2066, 519, 18364, 269, 634, 4611, 18325, 11920, 1648, 543, 13441, 5512, 3209, 6901, 538, 6046, 543, 4909, 6323, 563, 763, 6093, 15423, 540, 1769, 15025, 609, 606, 1843, 540, 519, 2890, 6523, 332, 10253, 609, 519, 2450, 540, 713, 1843, 269, 1280, 8444, 267, 713, 9832, 689, 7298, 1769, 547, 2483, 1805, 762, 4745, 20162, 666, 581, 3812, 689, 2937, 6565, 2281, 23608, 689, 5642, 20768, 269, 901, 568, 1500, 2009, 676, 1802, 1424, 1808, 7636, 3157, 9648, 1282, 25782, 20162, 5250, 267, 607, 3173, 689, 519, 2160, 543, 2160, 11233, 540, 30239, 1867, 538, 519, 3621, 4760, 623, 2793, 306, 563, 26807, 8544, 26067, 2096, 531, 6565, 23995, 668, 531, 2281, 689, 519, 5642, 20768, 540, 4079, 616, 2808, 5393, 9621, 585, 20258, 5160, 20344, 269, 1452, 2937, 6565, 2483, 1103, 519, 4339, 1996, 2860, 267, 3744, 616, 3384, 1007, 5061, 547, 5734, 10510, 2281, 693, 865, 2484, 30694, 4617, 2798, 269, 6270, 513, 968, 338, 648, 5544, 892, 568, 519, 3940, 1950, 2483, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 6021, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 454, 736, 269, 6860, 269, 1001, 279, 1923, 3955, 13694, 3194, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 0, 1692, 1677, 7591, 623, 10730, 6441, 792, 333, 1677, 7591, 623, 10730, 1280, 30488, 589, 13159, 6651, 454, 268, 1215, 1677, 7591, 623, 10730, 6441, 792, 333, 1677, 7591, 623, 10730, 1280, 30488, 589, 13159, 6651, 454, 268, 1215, 547, 6258, 623, 10730, 454, 268, 634, 9406, 6520, 1280, 513, 4132, 547, 3399, 7454, 623, 10730, 16497, 454, 268, 623, 10730, 11819, 912, 268, 1215, 1677, 7591, 623, 10730, 932, 3581, 454, 268, 1215, 1677, 7591, 623, 10730, 1635, 2423, 454, 268, 623, 10730, 16497, 1280, 30488, 1107, 6258, 634, 17778, 2201, 29892, 634, 623, 10730, 6356, 1947, 454, 268, 6258, 623, 10730, 16258, 454, 268, 623, 10730, 16497, 6206, 4580, 454, 268, 1215, 1677, 7591, 623, 10730, 16497, 1280, 20661, 454, 268, 634, 4258, 777, 10158, 540, 1565, 1215, 1677, 7591, 623, 10730, 454, 268, 1215, 1677, 4855, 634, 7454, 6732, 623, 10730, 16497, 1280, 30488, 2060, 1452, 476, 274, 9669, 454, 268, 1215, 1677, 6258, 1677, 7591, 623, 10730, 16258, 1107, 6732, 3213, 2286, 454, 268, 12866, 17778, 538, 4804, 547, 7591, 519, 623, 10730, 454, 268, 7427, 476, 276, 17778, 9669, 1215, 547, 1404, 14440, 454, 763, 14440, 729, 2899, 2808, 607, 513, 1590, 723, 606, 322, 16736, 269, 898, 729, 519, 1152, 2504, 540, 9913, 585, 1367, 610, 585, 1920, 1287, 269, 634, 2956, 540, 14440, 538, 938, 1272, 814, 711, 4957, 269, 898, 1869, 3947, 721, 519, 1482, 18399, 950, 649, 6432, 547, 513, 1434, 5152, 5129, 593, 14440, 269, 1411, 666, 1256, 1589, 540, 31935, 707, 1378, 2575, 952, 596, 666, 1404, 14440, 563, 1692, 547, 1404, 14440, 286, 1548, 616, 519, 4170, 585, 1565, 547, 1404, 513, 14440, 286, 24511, 267, 24455, 945, 568, 513, 2575, 24158, 543, 14894, 539, 2509, 2921, 14440, 4245, 267, 666, 3362, 1451, 547, 1404, 14440, 269, 1411, 991, 547, 1843, 542, 3054, 538, 519, 1184, 540, 1565, 14440, 269, 1924, 267, 972, 568, 1100, 19231, 593, 945, 666, 1491, 14440, 4245, 543, 519, 1655, 1259, 547, 1451, 547, 1404, 519, 14440, 568, 1175, 979, 585, 621, 563, 1692, 547, 6258, 623, 10730, 454, 763, 1101, 2856, 594, 6836, 729, 19444, 14440, 4245, 689, 513, 14440, 4116, 269, 1717, 267, 602, 4769, 1406, 2063, 1360, 1279, 269, 634, 942, 6170, 6117, 267, 6666, 593, 3154, 267, 7132, 1942, 540, 519, 4245, 269, 594, 1175, 4769, 1406, 1294, 519, 1871, 269, 1548, 513, 31484, 548, 256, 1548, 729, 594, 2469, 547, 798, 952, 972, 729, 3983, 4365, 286, 594, 9090, 7012, 1406, 2469, 547, 5397, 269, 1548, 1131, 4755, 952, 930, 6595, 3357, 909, 538, 1250, 8430, 286, 594, 1131, 723, 547, 556, 26247, 1250, 4245, 543, 952, 602, 729, 519, 2013, 267, 594, 9327, 1406, 2743, 1250, 3804, 540, 1565, 519, 14440, 538, 942, 269, 594, 1256, 2243, 8885, 952, 594, 729, 1175, 4947, 909, 609, 2300, 4926, 711, 547, 1451, 267, 855, 594, 729, 5462, 547, 1451, 547, 1404, 519, 14440, 269, 1306, 513, 1267, 267, 594, 666, 576, 1194, 1250, 4245, 543, 22646, 585, 1776, 4244, 563, 7069, 2034, 8905, 729, 547, 1451, 14440, 2228, 269, 18421, 568, 2944, 6552, 19951, 269, 594, 22646, 13334, 585, 513, 14440, 5850, 269, 594, 1589, 713, 2619, 729, 1256, 8338, 1317, 594, 16686, 2066, 2943, 1776, 21677, 269, 1703, 729, 1100, 2497, 256, 594, 729, 4358, 547, 1205, 865, 21616, 1813, 547, 782, 519, 10539, 269, 645, 23395, 689, 835, 3381, 547, 519, 1985, 711, 6616, 1141, 547, 1376, 269, 1879, 596, 1451, 513, 1007, 1641, 267, 596, 991, 513, 1434, 5943, 269, 1411, 723, 547, 31770, 1354, 596, 3802, 543, 3802, 1354, 596, 2196, 269, 594, 5433, 607, 952, 594, 729, 4358, 693, 519, 4881, 3942, 269, 5221, 540, 713, 267, 594, 3533, 5795, 909, 593, 267, 968, 974, 778, 3054, 14440, 689, 13334, 2856, 1848, 2414, 1224, 811, 827, 30413, 4245, 585, 3025, 563, 296, 3592, 5795, 909, 593, 875, 547, 1451, 14440, 15587, 1287, 594, 1336, 2228, 14440, 4245, 689, 623, 10730, 1721, 718, 269, 898, 12193, 782, 540, 1250, 2042, 1317, 594, 1185, 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 ]
[ 3107, 593, 811, 982, 1175, 19997, 269, 2274, 1430, 3724, 4262, 16015, 267, 585, 3236, 267, 979, 575, 15676, 936, 15074, 11294, 748, 1434, 625, 899, 21297, 8127, 256, 5994, 873, 1350, 4575, 12347, 998, 519, 2620, 4544, 267, 10478, 585, 12899, 609, 1346, 2462, 267, 8049, 4064, 269, 2060, 3532, 28287, 267, 789, 669, 20234, 1524, 593, 5215, 540, 6263, 1814, 1562, 1169, 1554, 630, 11779, 320, 2306, 707, 1153, 22538, 2678, 807, 3100, 1447, 17559, 1631, 267, 3085, 1405, 621, 24047, 901, 2189, 6492, 585, 795, 749, 625, 2337, 1852, 519, 2551, 540, 891, 2695, 880, 344, 7669, 11302, 543, 8952, 938, 15798, 7059, 543, 2635, 780, 3383, 1946, 1281, 6616, 1018, 4262, 16015, 3548, 2339, 865, 1454, 1022, 1811, 286, 4270, 267, 1620, 741, 12608, 2572, 3947, 3744, 1271, 10881, 827, 875, 547, 2149, 891, 5863, 2831, 543, 8190, 741, 5321, 269, 1879, 3173, 1451, 799, 26345, 13000, 1808, 16015, 4782, 267, 789, 666, 960, 9875, 547, 16102, 1346, 3536, 543, 1711, 2922, 5624, 585, 8023, 269, 6056, 540, 621, 899, 1818, 2386, 707, 5172, 16741, 1747, 2760, 32195, 1107, 4849, 3079, 540, 14723, 18223, 533, 11170, 553, 267, 621, 781, 7863, 519, 10475, 2371, 543, 1814, 1562, 2713, 538, 519, 4262, 269, 30474, 3579, 267, 26001, 2496, 2414, 2040, 1919, 909, 267, 4262, 16015, 1291, 6909, 2729, 9944, 519, 6329, 267, 18226, 593, 1585, 29535, 9313, 4470, 2390, 1141, 789, 2661, 543, 945, 789, 616, 269, 6787, 11981, 513, 726, 2660, 540, 2030, 2861, 8286, 610, 18656, 3101, 538, 5023, 995, 338, 540, 795, 580, 16744, 21297, 8127, 267, 1142, 11116, 4249, 513, 1713, 1909, 538, 5935, 741, 12748, 16973, 269, 1656, 3314, 267, 1565, 827, 741, 11477, 9035, 786, 5351, 3744, 538, 21108, 1312, 519, 16015, 543, 741, 9058, 896, 22855, 26441, 269, 3767, 267, 3884, 1405, 602, 1945, 4502, 21400, 593, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5353, 320, 16015, 723, 513, 3309, 2732, 267, 8151, 689, 2371, 547, 5779, 269, 4197, 1018, 798, 4262, 16015, 3548, 568, 4105, 585, 741, 5726, 543, 4027, 269, 4256, 7594, 5079, 4268, 676, 2249, 543, 2085, 267, 609, 930, 1373, 17055, 24549, 2803, 1247, 1866, 616, 23097, 5387, 9930, 6758, 269, 1280, 3236, 267, 3039, 4262, 16015, 21649, 593, 694, 698, 14993, 543, 13479, 267, 23429, 519, 5836, 779, 9265, 267, 6466, 16463, 3724, 4262, 16015, 20836, 998, 21297, 8127, 899, 14015, 12511, 2973, 619, 563, 1607, 3099, 538, 2732, 20502, 519, 6946, 2078, 1063, 891, 7068, 543, 519, 7103, 3330, 741, 1216, 344, 1158, 269, 10289, 713, 4334, 538, 8192, 7375, 666, 948, 721, 10146, 543, 1416, 585, 891, 4241, 7286, 7264, 1732, 563, 8368, 540, 12937, 454, 1432, 1684, 7256, 570, 4669, 956, 16202, 888, 5353, 320, 16015, 723, 513, 3309, 2732, 602, 2882, 7286, 2371, 269, 1358, 3049, 593, 32420, 267, 13479, 267, 543, 694, 698, 14993, 1336, 538, 741, 7286, 9249, 269, 1452, 2371, 1683, 1898, 5567, 543, 6886, 585, 519, 16015, 685, 2208, 543, 1646, 563, 5353, 320, 16015, 5097, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 17261, 1149, 910, 3776, 7454, 16470, 18830, 15302, 692, 7072, 912, 20756, 972, 267, 2104, 3744, 256, 4653, 649, 2811, 2469, 547, 2911, 827, 1945, 2706, 1271, 910, 10074, 256, 1358, 948, 2149, 721, 1996, 562, 7360, 3676, 899, 27330, 267, 544, 7927, 267, 945, 14563, 11522, 267, 543, 1256, 5046, 268, 866, 269, 1809, 3006, 267, 596, 1522, 5873, 20849, 1344, 827, 873, 269, 2913, 781, 4685, 883, 1620, 1018, 4422, 883, 2870, 10074, 543, 1946, 621, 781, 1898, 547, 1832, 6000, 543, 938, 2950, 2922, 780, 4089, 476, 272, 281, 1548, 3657, 17261, 1149, 888, 309, 3147, 1149, 616, 899, 2370, 7980, 8036, 4481, 547, 4339, 1055, 1880, 17900, 1572, 8290, 543, 4551, 269, 1879, 649, 2097, 2066, 1346, 17900, 538, 1483, 1272, 267, 938, 4703, 666, 3533, 5431, 543, 6861, 873, 1354, 789, 2014, 4576, 269, 6056, 540, 3478, 513, 6669, 899, 11836, 513, 2027, 8630, 1141, 3025, 4991, 3579, 3983, 2471, 8204, 1114, 17900, 789, 4312, 1831, 4966, 693, 9396, 908, 269, 30474, 16517, 267, 26001, 2496, 4089, 476, 273, 281, 1215, 3657, 17261, 1149, 17214, 888, 21430, 10074, 3322, 4974, 519, 10546, 630, 326, 1069, 264, 1360, 5402, 269, 12207, 1711, 18604, 610, 20027, 8747, 540, 519, 10351, 267, 2614, 585, 938, 4761, 1062, 547, 5469, 855, 1932, 1507, 547, 10413, 721, 269, 1635, 20392, 938, 1560, 547, 891, 6263, 6937, 267, 649, 1628, 909, 12046, 1510, 2479, 9991, 7210, 269, 898, 779, 899, 8026, 3595, 3106, 24200, 282, 950, 5185, 609, 513, 1483, 6595, 267, 707, 2634, 6487, 4010, 1018, 547, 798, 2439, 4089, 476, 274, 281, 5871, 17121, 12186, 1299, 16700, 935, 8526, 454, 15919, 1310, 8391, 513, 6669, 267, 930, 11570, 949, 1995, 7646, 2589, 971, 607, 8611, 267, 1928, 693, 519, 13297, 3135, 267, 610, 4743, 13110, 269, 1452, 6547, 1611, 602, 707, 1560, 568, 2679, 922, 8878, 19070, 531, 1107, 1175, 899, 2866, 2182, 585, 5026, 5012, 547, 4887, 15319, 1145, 269, 5457, 267, 1498, 267, 4049, 8801, 2621, 616, 5393, 4686, 780, 2467, 814, 5063, 1044, 18388, 1472, 1007, 2010, 540, 10074, 267, 1519, 835, 585, 5046, 268, 866, 267, 1210, 2029, 1572, 834, 332, 11748, 1701, 5213, 1405, 5855, 282, 891, 5749, 1405, 17559, 29975, 15833, 256, 5502, 267, 789, 4001, 938, 2281, 875, 547, 3132, 1808, 5946, 1336, 593, 3644, 7252, 269, 901, 1259, 267, 938, 4761, 1949, 1451, 547, 5544, 11371, 644, 619, 811, 3927, 269, 15346, 267, 1318, 2496, 4089, 476, 275, 281, 5808, 9701, 5192, 17261, 3990, 888, 29909, 16764, 2640, 689, 1373, 18764, 256, 1717, 267, 1978, 2516, 991, 3063, 7156, 1813, 547, 2189, 6381, 269, 1280, 3236, 267, 952, 2576, 1185, 2907, 10692, 1055, 513, 2068, 267, 556, 8686, 3147, 3215, 873, 1522, 711, 2709, 3606, 4027, 269, 6684, 267, 7820, 1453, 949, 2154, 1114, 13066, 982, 4079, 1317, 741, 4703, 616, 1869, 3395, 269, 10163, 21407, 267, 2564, 4648, 2141, 2015, 1142, 1367, 781, 3510, 1354, 2857, 2056, 1022, 6669, 780, 6962, 912, 3383, 972, 596, 723, 621, 267, 2828, 256, 17261, 1149, 4688, 2729, 676, 3450, 938, 4703, 547, 8396, 5739, 17900, 9108, 269, 2755, 7234, 873, 267, 3314, 602, 1034, 2427, 2360, 616, 5634, 543, 10151, 3379, 547, 519, 1761, 4220, 540, 4890, 4576, 269, 1306, 2141, 267, 5077, 11967, 3782, 7426, 8164, 2055, 8451, 3823, 707, 1072, 610, 519, 8171, 540, 6068, 3283, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 1577, 781, 3136, 2324, 1927, 4724, 513, 10930, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 2141, 1205, 18764, 269, 594, 723, 1044, 4628, 18764, 609, 519, 7073, 320, 5046, 6669, 563, 4913, 267, 1759, 593, 1018, 594, 1631, 917, 827, 519, 6669, 2427, 2360, 267, 1699, 5046, 3928, 267, 543, 519, 1967, 2557, 540, 2038, 2126, 10873, 267, 519, 2626, 594, 1131, 2285, 2221, 547, 4896, 6998, 803, 585, 5796, 607, 547, 2436, 547, 1491, 1022, 540, 519, 1699, 10074, 1131, 581, 267, 968, 9617, 2161, 12971, 3034, 763, 1699, 10074, 616, 3226, 15333, 785, 5344, 952, 596, 723, 2907, 1044, 7783, 609, 5046, 610, 616, 896, 2085, 476, 736, 269, 1280, 891, 1004, 267, 594, 1131, 2161, 968, 17472, 256, 12971, 256, 12971, 28461, 1103, 713, 2376, 267, 594, 786, 2491, 1018, 594, 723, 4121, 2094, 594, 729, 18764, 602, 11207, 4957, 1250, 2247, 269, 1411, 786, 1451, 875, 891, 10074, 960, 543, 519, 31930, 602, 3366, 547, 519, 9073, 602, 941, 1500, 269, 1411, 786, 1174, 1946, 972, 616, 865, 1082, 2427, 2360, 543, 1946, 891, 616, 865, 9867, 543, 1946, 789, 2356, 4755, 1369, 476, 1789, 2395, 540, 12674, 269, 1411, 786, 1174, 1946, 3214, 616, 2348, 2295, 2152, 630, 1721, 799, 972, 568, 1100, 2126, 1070, 543, 17303, 9561, 741, 8289, 267, 543, 705, 328, 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, 12844, 19490, 910, 589, 21690, 17714, 998, 5384, 543, 28673, 692, 8893, 20638, 281, 4841, 786, 1174, 519, 1523, 540, 737, 657, 615, 3536, 538, 6014, 2528, 543, 1451, 827, 13755, 19490, 267, 513, 2442, 1476, 1254, 2044, 6221, 267, 1247, 12423, 519, 4241, 1686, 3297, 621, 780, 7072, 912, 5970, 596, 2479, 4862, 540, 1945, 1572, 834, 330, 657, 615, 8119, 898, 781, 513, 2165, 1031, 538, 6014, 2528, 602, 6257, 3652, 827, 1018, 666, 543, 3112, 581, 13881, 269, 901, 2856, 2501, 689, 741, 13411, 1433, 267, 519, 22560, 267, 543, 814, 1044, 4553, 676, 6014, 2950, 585, 5215, 540, 1296, 256, 4653, 649, 3513, 2263, 713, 2189, 2245, 543, 4685, 883, 513, 6653, 1521, 602, 5205, 891, 4808, 910, 13755, 19490, 2439, 1432, 616, 12844, 19490, 888, 289, 517, 19490, 616, 1507, 267, 5180, 26265, 3335, 1500, 909, 540, 513, 2571, 4099, 4988, 538, 10217, 610, 17711, 269, 1358, 2097, 538, 1082, 10366, 899, 4829, 267, 10808, 267, 543, 1256, 14546, 256, 1411, 1522, 723, 2938, 873, 693, 2027, 2621, 899, 12311, 26204, 610, 14512, 6105, 269, 3767, 4952, 1373, 2111, 547, 1711, 707, 1378, 8949, 13755, 2548, 13144, 602, 1246, 519, 3652, 540, 737, 657, 615, 256, 1215, 3579, 1131, 602, 581, 286, 2913, 781, 1265, 856, 811, 2439, 8139, 24230, 615, 16390, 912, 298, 657, 615, 3652, 7941, 3536, 883, 1614, 6688, 281, 5779, 267, 10683, 267, 543, 533, 732, 557, 630, 928, 23018, 1040, 29133, 2882, 2244, 2831, 609, 804, 8576, 11876, 7174, 543, 25261, 741, 524, 644, 630, 3697, 16933, 1070, 5017, 27195, 25094, 12310, 267, 3165, 609, 27634, 543, 10253, 630, 7945, 607, 13687, 1070, 543, 5798, 689, 15868, 5017, 269, 667, 8543, 5161, 540, 5144, 2472, 267, 855, 789, 1590, 2760, 3575, 609, 5779, 2472, 269, 623, 732, 557, 4016, 547, 3688, 602, 1810, 1406, 2887, 896, 2901, 7121, 267, 971, 607, 5613, 267, 5388, 267, 9274, 267, 5798, 689, 737, 657, 615, 535, 25717, 267, 543, 3165, 269, 1280, 938, 13755, 19490, 267, 1577, 781, 3442, 5820, 1739, 737, 657, 615, 4031, 865, 3025, 666, 2972, 873, 2439, 17730, 3776, 13574, 12844, 19490, 912, 3086, 621, 781, 942, 547, 1205, 3860, 256, 4635, 737, 657, 615, 5820, 267, 1589, 827, 1187, 10659, 585, 707, 1360, 1378, 1305, 540, 13755, 19490, 269, 2368, 2093, 1223, 581, 1384, 265, 30722, 25888, 7740, 22862, 538, 4158, 10217, 454, 265, 3212, 534, 583, 7423, 11423, 20386, 538, 3043, 10217, 454, 265, 667, 3072, 3284, 878, 582, 4773, 18202, 538, 4006, 543, 24036, 1287, 1019, 5529, 538, 5144, 10217, 692, 8855, 267, 950, 7446, 5820, 267, 2327, 789, 15666, 547, 737, 657, 615, 6042, 269, 4495, 596, 4312, 13603, 707, 30836, 267, 15835, 1524, 707, 6074, 1826, 540, 737, 657, 615, 10217, 267, 16702, 1142, 4062, 5402, 267, 543, 1450, 873, 547, 3819, 269, 1656, 972, 596, 723, 621, 910, 707, 10531, 25819, 540, 737, 657, 615, 13755, 19490, 2439, 6962, 912, 3528, 1565, 827, 519, 3638, 2686, 6561, 4478, 737, 657, 615, 2853, 1369, 6014, 2245, 543, 3695, 26345, 10346, 899, 13755, 19490, 267, 649, 4312, 6591, 5813, 883, 1776, 1259, 1004, 8661, 1272, 998, 1426, 269, 3502, 1152, 1705, 649, 14183, 938, 6653, 5694, 267, 855, 649, 849, 15197, 2085, 6040, 4978, 2059, 519, 1259, 269, 1924, 1985, 942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18520, 693, 519, 3703, 4139, 3427, 630, 289, 3041, 264, 670, 8457, 328, 563, 2304, 2228, 3992, 693, 645, 3041, 670, 8457, 328, 630, 20124, 676, 645, 3041, 670, 8457, 328, 994, 24679, 779, 1271, 602, 649, 3136, 547, 1589, 827, 875, 547, 11457, 2069, 543, 9192, 621, 609, 519, 1565, 3255, 2139, 547, 721, 998, 938, 2518, 1920, 540, 476, 10602, 3506, 538, 20918, 4911, 20377, 4065, 547, 1683, 519, 1655, 2009, 3872, 11865, 585, 938, 1053, 2223, 15516, 16019, 3773, 563, 21430, 2029, 519, 8998, 12328, 540, 513, 14044, 3427, 6087, 1053, 547, 1020, 1983, 789, 949, 711, 723, 5892, 1044, 6488, 539, 269, 968, 29919, 4804, 3746, 2478, 938, 9021, 543, 942, 31193, 1983, 607, 1053, 267, 543, 2523, 538, 513, 1158, 1141, 2029, 568, 4742, 811, 4359, 267, 5691, 1565, 666, 5965, 721, 585, 519, 3059, 1983, 2838, 538, 519, 2104, 2223, 1767, 1912, 340, 784, 1323, 327, 267, 5729, 476, 1724, 2875, 693, 645, 3041, 670, 8457, 328, 563, 763, 5691, 1153, 693, 645, 3041, 670, 8457, 328, 568, 513, 2123, 2213, 1995, 630, 20124, 676, 645, 3041, 670, 8457, 328, 994, 763, 4398, 540, 519, 6639, 5867, 693, 645, 3041, 670, 8457, 328, 6087, 3610, 547, 1683, 2048, 13318, 656, 5955, 685, 547, 1053, 3842, 2854, 1106, 267, 5639, 543, 3381, 19827, 799, 666, 581, 556, 2452, 539, 1082, 2053, 267, 610, 1256, 8850, 269, 901, 6087, 3610, 547, 1683, 1053, 609, 2312, 5955, 827, 1022, 10616, 538, 741, 1702, 269, 901, 1062, 25436, 26433, 519, 2854, 5955, 3237, 543, 3610, 616, 5432, 609, 7487, 538, 1957, 960, 9248, 269, 3767, 267, 1053, 666, 581, 25274, 8655, 2238, 547, 741, 2123, 2213, 31940, 267, 799, 616, 2189, 547, 519, 1702, 17211, 789, 949, 723, 543, 602, 949, 1413, 1114, 585, 1142, 2875, 538, 519, 1362, 563, 1607, 1565, 267, 5955, 267, 543, 8086, 4783, 666, 1631, 581, 3728, 19550, 267, 865, 602, 3610, 666, 5531, 513, 18837, 2179, 540, 1469, 827, 519, 1702, 543, 11291, 7207, 540, 1142, 2875, 267, 1818, 519, 3872, 5356, 1256, 811, 2123, 2213, 543, 540, 2362, 2298, 269, 634, 5691, 1153, 11865, 693, 645, 3041, 670, 8457, 328, 7028, 741, 5692, 540, 8600, 1053, 585, 519, 1985, 3942, 540, 741, 1565, 3460, 676, 3246, 606, 5989, 602, 6212, 593, 5042, 2702, 267, 2123, 2213, 1565, 543, 3384, 1983, 585, 6009, 540, 519, 2104, 269, 2060, 606, 8561, 593, 1514, 543, 3929, 1565, 267, 741, 3610, 15407, 2029, 547, 1711, 513, 811, 8465, 543, 3358, 1935, 585, 1169, 2875, 563, 3080, 540, 519, 1034, 4749, 4280, 2055, 676, 3237, 3823, 519, 5691, 1153, 568, 875, 798, 649, 917, 602, 713, 2203, 1568, 269, 1280, 645, 3041, 670, 8457, 328, 267, 519, 2626, 568, 547, 2490, 547, 519, 476, 1708, 272, 25153, 7894, 4093, 799, 1397, 606, 2810, 1871, 14194, 4765, 6060, 585, 1053, 267, 2016, 741, 4358, 2798, 267, 936, 519, 2063, 1614, 1296, 269, 4256, 4147, 540, 476, 1708, 272, 729, 12936, 30140, 267, 547, 4266, 267, 676, 519, 6855, 269, 1358, 6170, 1713, 942, 1312, 538, 519, 1101, 1032, 540, 741, 10872, 543, 519, 2034, 267, 538, 5691, 1153, 563, 306, 2426, 342, 5622, 630, 2431, 1070, 645, 3041, 670, 8457, 328, 4147, 540, 476, 1708, 272, 267, 5833, 513, 3501, 6060, 540, 476, 3393, 270, 3393, 538, 519, 25153, 6514, 630, 20124, 676, 645, 3041, 670, 8457, 328, 994, 4322, 1053, 4682, 593, 547, 3489, 938, 5207, 1305, 540, 25153, 7894, 2164, 713, 4832, 267, 8236, 606, 3328, 540, 476, 4343, 269, 273, 2798, 609, 1053, 2469, 1055, 547, 1353, 693, 1158, 11665, 9945, 971, 607, 3751, 781, 5441, 5507, 267, 1715, 3840, 2160, 267, 2160, 540, 24545, 267, 2160, 540, 15173, 15158, 543, 519, 2817, 2160, 540, 14135, 563, 2690, 811, 1344, 827, 645, 3041, 670, 8457, 328, 267, 5225, 3643, 519, 1153, 3896, 693, 8940, 12500, 880, 8457, 328, 2593, 269, 0, 268, 7046, 7457, 454, 12850, 8602, 568, 811, 3608, 982, 3905, 2011, 14089, 693, 8143, 30737, 10474, 540, 11452, 454, 309, 328, 14347, 4750, 4320, 476, 736, 267, 9137, 1297, 281, 476, 10019, 630, 1708, 274, 994, 307, 615, 7356, 30737, 10474, 568, 513, 6671, 543, 2500, 1505, 540, 14874, 519, 3468, 2032, 540, 13596, 689, 15013, 538, 4791, 543, 6211, 20682, 267, 543, 4227, 519, 1981, 540, 17163, 4598, 543, 2825, 12526, 269, 4438, 519, 5046, 268, 866, 6855, 267, 15013, 689, 2550, 543, 5732, 7783, 2043, 941, 3002, 5701, 543, 9268, 896, 645, 20784, 268, 273, 2175, 538, 513, 2922, 267, 1942, 15807, 267, 543, 12905, 6073, 269, 634, 2837, 543, 8653, 540, 3002, 2126, 616, 20979, 543, 13387, 538, 519, 7014, 2687, 547, 519, 18687, 540, 519, 19800, 543, 519, 1764, 593, 519, 8699, 540, 519, 15013, 267, 855, 519, 8022, 3926, 568, 1419, 3768, 18249, 269, 20905, 543, 5420, 22151, 519, 8143, 1648, 4268, 538, 8022, 2557, 267, 1808, 3002, 4390, 267, 543, 19428, 267, 4611, 538, 7648, 538, 4398, 543, 30737, 10474, 6364, 602, 949, 14207, 19777, 23245, 543, 19654, 6211, 29508, 563, 2171, 11117, 519, 1216, 8602, 543, 3905, 2011, 14089, 538, 2474, 540, 19800, 30737, 10474, 4398, 267, 799, 616, 519, 1034, 4122, 1031, 30737, 10474, 3457, 538, 10506, 543, 6211, 20682, 269, 1635, 10442, 519, 2837, 11466, 543, 10194, 512, 3438, 17594, 896, 1585, 2175, 267, 649, 6594, 519, 3457, 543, 741, 30737, 10474, 4093, 896, 9838, 2126, 7014, 267, 543, 547, 9916, 519, 2188, 267, 971, 607, 1648, 19428, 267, 1808, 3002, 4390, 267, 543, 8022, 2557, 267, 5817, 519, 30737, 10474, 31931, 563, 2171, 3379, 8143, 30737, 10474, 540, 11452, 1210, 1114, 3457, 267, 543, 723, 1336, 602, 519, 1216, 8602, 729, 811, 3608, 693, 4227, 3468, 2032, 267, 609, 2362, 3002, 4483, 543, 8143, 1226, 9902, 1674, 982, 513, 7142, 3905, 2011, 14089, 269, 769, 1840, 547, 519, 4398, 267, 519, 1216, 8602, 4951, 3448, 11007, 538, 2837, 1226, 9902, 1674, 540, 5439, 540, 1114, 12531, 267, 4389, 519, 991, 585, 12675, 8022, 267, 543, 17515, 519, 1981, 540, 19800, 3262, 676, 7142, 25312, 563, 5978, 1239, 1489, 519, 11556, 547, 5581, 519, 8022, 3926, 538, 519, 8143, 30737, 10474, 7014, 543, 538, 519, 19494, 2359, 3609, 563, 11854, 322, 11948, 689, 2550, 543, 2635, 13538, 1419, 4163, 267, 610, 616, 13572, 609, 267, 1634, 543, 7164, 13596, 269, 589, 1804, 1297, 540, 9601, 9715, 17537, 543, 6375, 32759, 6794, 998, 13572, 13549, 24409, 267, 1973, 13816, 16272, 267, 610, 31533, 1354, 519, 6388, 540, 16601, 9584, 585, 519, 9757, 10194, 13596, 538, 2564, 2853, 1496, 272, 267, 476, 273, 4940, 12524, 5234, 338, 945, 4393, 15013, 13567, 958, 2968, 6534, 547, 11763, 8069, 543, 9715, 5563, 998, 23139, 3346, 609, 23633, 4551, 267, 8290, 267, 15495, 267, 543, 13271, 1496, 274, 267, 476, 275, 4940, 634, 13596, 538, 2564, 3653, 1510, 30737, 10474, 610, 10322, 16478, 1223, 6414, 538, 519, 1604, 585, 606, 6905, 1974, 540, 942, 543, 15054, 513, 3463, 547, 1857, 1072, 1496, 276, 267, 476, 277, 4940, 4438, 519, 6855, 540, 5046, 268, 866, 267, 14959, 543, 824, 8128, 3964, 4808, 585, 519, 4393, 540, 15013, 543, 12871, 540, 2564, 22837, 547, 2569, 519, 1981, 540, 4598, 540, 6413, 5234, 543, 519, 1857, 547, 16568, 17336, 268, 273, 1496, 278, 267, 476, 279, 4940, 769, 716, 10474, 540, 15013, 814, 1044, 513, 16601, 5650, 547, 2149, 6413, 5234, 543, 519, 1604, 689, 12526, 543, 3262, 540, 13596, 563, 26452, 2409, 616, 5227, 547, 30737, 10675, 13596, 538, 15013, 267, 1519, 3114, 543, 2168, 267, 4470, 593, 519, 13418, 267, 7145, 267, 543, 17356, 609, 19654, 6211, 4393, 269, 1280, 1383, 267, 6101, 24957, 729, 4122, 1031, 547, 9004, 19800, 3468, 2032, 1247, 8497, 1591, 19916, 267, 799, 729, 1419, 5227, 585, 27690, 543, 24466, 26129, 1547, 1717, 267, 6101, 24957, 5732, 12012, 3940, 2497, 267, 543, 729, 711, 5227, 585, 10368, 5301, 4470, 593, 519, 2470, 540, 3940, 1547, 5489, 1120, 757, 543, 10222, 345, 565, 941, 4122, 1031, 585, 30737, 10474, 543, 31332, 3679, 10868, 267, 855, 1185, 547, 581, 6569, 689, 5439, 547, 7413, 519, 1764, 593, 19654, 4393, 1547, 11906, 30737, 10474, 267, 971, 607, 30651, 543, 3954, 4405, 566, 267, 729, 711, 9053, 585, 5439, 585, 6375, 1670, 543, 31332, 3679, 1759, 26129, 1317, 540, 519, 1761, 27327, 540, 519, 18970, 545, 13423, 8554, 2565, 585, 6375, 334, 817, 904, 543, 26610, 540, 31332, 7408, 585, 29920, 5832, 5114, 1547, 8447, 30737, 10474, 5631, 3096, 5982, 543, 8143, 1648, 547, 9004, 19800, 3468, 2032, 269, 8299, 19965, 5982, 814, 1044, 1031, 547, 30737, 10675, 8290, 676, 19249, 10194, 3940, 2497, 543, 31332, 7408, 267, 855, 2838, 9645, 4027, 689, 17163, 4598, 267, 11938, 540, 9570, 543, 4598, 942, 2073, 543, 519, 7145, 729, 2258, 730, 676, 519, 4527, 540, 3940, 538, 519, 3732, 1547, 717, 10397, 23735, 2747, 814, 1044, 1031, 547, 30737, 10675, 513, 3099, 540, 13596, 269, 1717, 267, 519, 10333, 267, 1942, 267, 543, 1761, 14599, 9651, 3970, 922, 3498, 269, 26365, 30737, 10474, 568, 519, 1034, 10375, 267, 1942, 15807, 267, 543, 2500, 1935, 10858, 547, 513, 3099, 540, 5439, 267, 971, 607, 11919, 267, 10729, 267, 28797, 267, 13439, 2684, 31099, 267, 543, 522, 5268, 31099, 5439, 585, 1583, 1670, 267, 6375, 1670, 543, 23020, 2079, 543, 19800, 8446, 269, 26365, 1648, 3954, 2137, 31332, 7408, 543, 14477, 32290, 519, 2497, 543, 598, 4146, 540, 5946, 267, 7303, 13613, 267, 12760, 267, 543, 18643, 540, 13596, 543, 10556, 532, 519, 3468, 2032, 1496, 1428, 267, 476, 1626, 3910, 543, 814, 1044, 1031, 547, 30737, 10675, 1585, 13596, 1519, 8290, 267, 4551, 267, 543, 13271, 1496, 1704, 267, 1240, 267, 866, 4940, 26365, 1648, 666, 849, 30737, 10675, 11476, 267, 3954, 1155, 3940, 2497, 267, 7369, 6915, 13808, 267, 543, 12444, 1125, 6675, 2565, 547, 26129, 269, 28246, 1648, 1223, 1291, 547, 7301, 1449, 2164, 267, 3226, 538, 5439, 609, 10250, 5666, 540, 3077, 31036, 1547, 4014, 621, 568, 519, 1034, 1455, 1935, 547, 2569, 19800, 3468, 2032, 609, 3908, 1764, 593, 519, 3732, 1496, 1428, 267, 476, 2641, 267, 476, 2420, 3910, 8143, 30737, 10474, 2115, 547, 581, 20979, 547, 3666, 19800, 30737, 10474, 543, 3732, 8699, 563, 763, 8838, 2711, 2837, 543, 8653, 540, 3002, 4598, 4096, 593, 519, 17271, 3601, 540, 519, 19800, 267, 519, 2470, 540, 519, 3732, 267, 543, 519, 19654, 6211, 22368, 269, 1280, 1383, 267, 519, 512, 3438, 540, 5664, 5101, 28614, 15540, 3644, 21022, 676, 476, 275, 8421, 1015, 538, 476, 1839, 1295, 693, 476, 6321, 11433, 481, 269, 1717, 267, 693, 476, 4792, 11433, 481, 267, 713, 6175, 729, 6913, 1369, 476, 272, 1295, 1547, 634, 512, 3438, 540, 16568, 11452, 21022, 676, 476, 275, 8421, 1015, 693, 476, 6321, 11019, 290, 538, 476, 1428, 1295, 1547, 26361, 476, 4817, 11019, 290, 267, 519, 16568, 17336, 268, 273, 10717, 12215, 543, 7020, 2557, 8519, 3648, 1547, 1160, 14075, 539, 4598, 547, 7050, 8143, 2126, 849, 12012, 519, 10368, 4879, 540, 12489, 1496, 1240, 267, 476, 1839, 316, 543, 681, 18456, 1547, 19630, 1242, 2837, 543, 31965, 4598, 547, 3002, 2569, 519, 8801, 2360, 593, 5439, 543, 2327, 519, 6111, 540, 29508, 269, 634, 14959, 5227, 476, 6321, 11019, 290, 585, 476, 1789, 1295, 585, 16568, 4211, 990, 268, 273, 30737, 10474, 1496, 278, 267, 476, 2918, 4940, 901, 4999, 540, 2837, 543, 8653, 814, 1044, 9862, 543, 8810, 2922, 1510, 3648, 7133, 6211, 12508, 610, 10194, 31332, 3679, 7020, 1496, 1240, 267, 476, 2190, 4940, 634, 4398, 540, 8143, 30737, 10474, 849, 31030, 593, 519, 8022, 3926, 543, 8143, 1648, 4483, 5420, 267, 799, 1185, 1114, 8022, 3928, 267, 8143, 19428, 267, 543, 1808, 3002, 19206, 1547, 1717, 267, 891, 1883, 2188, 616, 1419, 20495, 610, 711, 3989, 538, 1034, 30737, 10474, 10873, 543, 4808, 269, 1280, 1383, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 267, 7330, 1070, 543, 519, 4457, 4741, 585, 8376, 6513, 543, 10644, 1705, 711, 5581, 8022, 3457, 538, 741, 4808, 585, 5046, 268, 866, 19494, 30737, 10474, 1496, 278, 267, 476, 2764, 4940, 1677, 8495, 875, 519, 8022, 3926, 267, 3002, 4483, 5420, 267, 543, 19494, 8708, 4299, 519, 4398, 540, 19800, 30737, 10474, 267, 649, 3379, 519, 30737, 10474, 4398, 540, 1216, 8602, 543, 7142, 25101, 14089, 602, 723, 1044, 4122, 1031, 538, 10506 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14939, 1871, 899, 4332, 17058, 610, 6502, 267, 543, 3079, 3442, 4351, 9696, 602, 824, 1004, 1810, 1406, 1404, 269, 1261, 3081, 713, 786, 2569, 519, 12918, 602, 596, 543, 824, 5716, 2671, 519, 1482, 2338, 267, 799, 11081, 707, 8458, 540, 10888, 269, 1411, 666, 849, 6718, 16797, 623, 6506, 267, 799, 616, 14477, 6074, 2338, 676, 2780, 269, 0, 4002, 513, 13085, 569, 13566, 6640, 538, 2904, 476, 1708, 274, 267, 1472, 8938, 13110, 1686, 1053, 689, 2066, 4516, 267, 8885, 1851, 873, 267, 17875, 1194, 856, 540, 1079, 642, 753, 543, 513, 4663, 1668, 883, 606, 796, 817, 11167, 3484, 2361, 12341, 538, 5333, 269, 1284, 1336, 6000, 1934, 7064, 547, 519, 8225, 11135, 26753, 7690, 267, 630, 290, 289, 293, 1070, 513, 17493, 3964, 538, 476, 1960, 273, 547, 29428, 543, 6318, 1857, 4656, 827, 4516, 779, 1909, 538, 1312, 2622, 12668, 269, 5272, 1032, 519, 25553, 293, 15920, 2516, 540, 1053, 18246, 593, 11461, 1353, 19150, 540, 2101, 8225, 6370, 26753, 543, 4108, 524, 655, 2678, 625, 538, 5333, 267, 19934, 543, 519, 13814, 269, 3776, 1895, 19632, 267, 543, 835, 540, 938, 10274, 5143, 721, 547, 1376, 6972, 909, 513, 7404, 25170, 799, 9900, 9782, 689, 513, 10568, 2361, 269, 3245, 519, 1283, 540, 602, 25170, 938, 2619, 3366, 721, 1524, 883, 513, 2620, 14860, 267, 543, 594, 7691, 602, 594, 729, 1631, 7555, 693, 519, 5377, 540, 519, 575, 1173, 656, 10224, 8316, 628, 1941, 23374, 4414, 12874, 339, 28188, 563, 5804, 519, 3330, 540, 519, 12826, 11057, 4965, 267, 594, 6743, 1394, 693, 519, 9067, 540, 519, 28188, 543, 4718, 938, 1895, 23031, 7555, 972, 269, 3776, 23031, 729, 5176, 5722, 3952, 7381, 267, 855, 519, 5377, 540, 519, 28188, 729, 865, 2484, 2476, 689, 803, 602, 646, 6743, 899, 606, 967, 626, 3307, 1159, 19276, 1996, 519, 4544, 6640, 6607, 269, 634, 28188, 729, 10145, 9643, 538, 12094, 267, 7064, 547, 519, 4054, 795, 583, 1154, 856, 693, 9490, 7285, 689, 519, 14869, 6821, 269, 1358, 3177, 513, 10950, 1365, 924, 689, 519, 3141, 267, 799, 729, 1175, 4098, 547, 27106, 519, 5251, 585, 519, 1554, 269, 898, 729, 513, 12560, 1747, 1107, 513, 1434, 5544, 547, 3247, 543, 1964, 1310, 6972, 998, 865, 1082, 824, 12902, 3484, 4610, 799, 21656, 5333, 779, 24622, 1889, 3148, 269, 769, 519, 13897, 2282, 1141, 594, 1185, 11074, 547, 6952, 1250, 7362, 2482, 513, 1507, 5068, 1544, 614, 799, 4371, 930, 1507, 11308, 22613, 267, 1957, 1402, 335, 625, 543, 513, 2370, 5742, 10793, 269, 2201, 519, 13897, 538, 4395, 540, 621, 2893, 1776, 16033, 894, 5356, 281, 513, 4062, 540, 5594, 649, 9312, 267, 22495, 730, 1957, 269, 2201, 713, 1957, 941, 519, 4408, 540, 8938, 19317, 4436, 2367, 267, 2059, 609, 513, 32410, 538, 1614, 4654, 281, 968, 4462, 591, 326, 612, 523, 267, 715, 685, 302, 28362, 687, 17131, 267, 700, 652, 1284, 1280, 1326, 3034, 1607, 12560, 14860, 1185, 711, 1044, 20077, 856, 6923, 936, 519, 1576, 540, 6634, 540, 1296, 676, 22260, 610, 519, 2095, 540, 1216, 269, 5502, 267, 621, 729, 4646, 593, 476, 272, 5147, 476, 4489, 277, 267, 950, 3703, 4108, 8030, 1033, 517, 730, 5111, 476, 2412, 267, 1822, 6550, 540, 16139, 531, 630, 320, 3532, 1164, 23292, 264, 9944, 513, 3060, 540, 4436, 512, 29168, 543, 2361, 6830, 5874, 267, 8236, 519, 6697, 540, 1896, 27453, 779, 4502, 540, 17027, 1689, 538, 1447, 982, 4557, 7643, 269, 272, 30557, 538, 602, 10373, 28188, 267, 594, 1336, 621, 7415, 875, 2470, 1185, 1036, 10273, 730, 936, 519, 26711, 540, 519, 3689, 2622, 2782, 269, 634, 26711, 616, 1869, 5693, 7298, 952, 835, 6487, 1141, 547, 1413, 267, 855, 2470, 814, 556, 13094, 519, 4609, 563, 763, 3484, 4610, 540, 3345, 13523, 2342, 267, 9674, 676, 1970, 4224, 31966, 610, 519, 17573, 1796, 540, 4054, 616, 5176, 967, 626, 3907, 27720, 689, 519, 8916, 538, 6917, 14411, 269, 1717, 267, 4610, 799, 9114, 936, 5449, 6370, 4609, 4043, 547, 2270, 519, 17573, 10923, 4183, 602, 1522, 3100, 1360, 856, 540, 1747, 547, 513, 8225, 269, 898, 568, 711, 16613, 547, 1294, 16933, 6704, 689, 1804, 267, 9764, 22253, 799, 941, 20077, 856, 676, 25044, 16115, 610, 9553, 30762, 269, 634, 2666, 538, 16618, 4104, 4525, 3006, 3768, 12885, 796, 333, 6334, 609, 1990, 580, 345, 698, 3101, 1244, 11306, 267, 2407, 540, 6978, 16445, 543, 15468, 8371, 269, 1452, 616, 519, 24790, 540, 519, 1631, 25337, 512, 29168, 538, 799, 6634, 540, 2367, 4810, 519, 1034, 32049, 8090, 540, 741, 2729, 269, 3509, 1131, 711, 7639, 563, 26903, 779, 3801, 547, 20818, 4708, 936, 891, 5449, 4025, 540, 9810, 568, 513, 9490, 27524, 30315, 547, 4308, 609, 950, 519, 7613, 15359, 1206, 596, 269, 2201, 835, 13566, 12784, 594, 3838, 513, 17552, 5371, 12899, 609, 1007, 2828, 538, 519, 12094, 540, 606, 18073, 3529, 267, 8384, 513, 23636, 540, 13265, 22178, 1176, 1178, 2763, 593, 519, 7381, 6371, 3395, 689, 519, 9490, 267, 533, 1442, 5658, 539, 2666, 1472, 966, 574, 344, 23374, 269, 14066, 2220, 520, 1127, 540, 2666, 538, 602, 3148, 723, 1044, 18385, 6806, 1055, 547, 3425, 267, 16171, 873, 538, 513, 1533, 540, 669, 9506, 14784, 269, 1809, 2470, 1281, 711, 705, 728, 676, 4191, 543, 3167, 31966, 269, 17164, 566, 814, 6738, 909, 593, 891, 3338, 936, 519, 2063, 2540, 267, 8720, 519, 544, 28854, 267, 3046, 1066, 5251, 799, 7980, 1131, 723, 14754, 269, 2701, 788, 616, 1419, 519, 1152, 3283, 4847, 547, 3802, 891, 8916, 1107, 13148, 547, 2327, 602, 519, 25192, 540, 14666, 798, 711, 911, 332, 921, 519, 1835, 11596, 883, 2116, 2579, 267, 855, 849, 1317, 12617, 3921, 333, 766, 1869, 27938, 547, 4163, 856, 741, 14686, 3252, 547, 713, 1554, 269, 23089, 971, 607, 966, 574, 344, 23374, 610, 811, 28020, 267, 519, 18630, 22748, 613, 267, 786, 2693, 2611, 513, 8594, 547, 3425, 585, 5553, 547, 2097, 269, 273, 1809, 2470, 1281, 711, 7500, 593, 1480, 2053, 322, 2297, 267, 543, 835, 1554, 519, 2063, 540, 519, 12617, 3921, 333, 766, 538, 891, 2127, 786, 9178, 267, 6368, 9427, 519, 2063, 26711, 540, 930, 540, 8103, 779, 1034, 16160, 2238, 563, 19741, 519, 18385, 1835, 23926, 2666, 693, 966, 574, 344, 23374, 267, 519, 15224, 3294, 7436, 1776, 1259, 538, 799, 519, 3689, 2622, 2782, 9927, 519, 5251, 269, 634, 1259, 649, 18189, 1125, 519, 3689, 2622, 2782, 814, 13497, 18534, 9464, 1082, 4025, 2066, 2342, 269, 966, 770, 267, 812, 545, 3293, 524, 655, 2678, 625, 4904, 609, 9838, 9343, 540, 2212, 18429, 1631, 19582, 3338, 602, 941, 2899, 1031, 585, 6683, 269, 274, 1955, 19397, 4936, 525, 4302, 20375, 20441, 15113, 543, 31393, 602, 941, 2899, 4988, 609, 9602, 7733, 269, 7316, 12959, 9927, 8916, 883, 20807, 532, 5546, 602, 18385, 11291, 14784, 267, 524, 655, 2678, 625, 543, 20375, 6131, 547, 1018, 1098, 18944, 593, 1346, 6370, 26753, 723, 1044, 29596, 9044, 539, 1310, 519, 2112, 676, 3425, 883, 4025, 799, 18427, 513, 1978, 11440, 6216, 540, 4708, 267, 22471, 1006, 543, 1964, 269, 1809, 519, 1533, 540, 891, 4609, 568, 10151, 267, 1317, 2470, 786, 2760, 3247, 1036, 10273, 908, 563, 288, 7548, 15054, 513, 2243, 693, 835, 540, 519, 9118, 3689, 2622, 2782, 524, 655, 2678, 625, 649, 10272, 538, 5333, 281, 968, 2005, 779, 1044, 936, 513, 2540, 1107, 950, 798, 649, 3247, 16033, 908, 286, 1879, 798, 649, 3442, 547, 3247, 4509, 891, 524, 655, 2678, 625, 267, 543, 1018, 4523, 1287, 18313, 2691, 3425, 3247, 4509, 891, 812, 545, 3293, 4108, 524, 655, 2678, 625, 543, 25412, 14680, 20375, 16033, 908, 519, 2622, 12668, 543, 1346, 789, 3045, 8811, 23624, 267, 2470, 786, 1521, 873, 607, 621, 5701, 519, 4609, 1141, 649, 723, 6074, 711, 547, 1628, 20375, 267, 899, 519, 8316, 628, 1941, 23374, 28188, 593, 519, 24622, 1889, 269, 4438, 1250, 3643, 267, 594, 14754, 22254, 5402, 18309, 3529, 8371, 267, 543, 729, 5143, 602, 713, 729, 865, 602, 5072, 798, 711, 1332, 1932, 1804, 543, 11145, 2212, 18429, 269, 1879, 649, 3247, 4509, 891, 4609, 267, 519, 2212, 18429, 786, 581, 14593, 856, 540, 741, 1931, 569, 9343, 267, 543, 519, 4408, 27485, 593, 873, 786, 581, 649, 9312, 2476, 7357, 269, 1280, 519, 4090, 267, 3425, 1832, 519, 2963, 540, 519, 3689, 2622, 2782, 27485, 593, 2470, 585, 16033, 894, 5301, 269, 1809, 952, 649, 3247, 16033, 908, 519, 2112, 1256, 519, 966, 574, 344, 18189, 267, 2221, 513, 26124, 838, 790, 540, 9813, 14680, 267, 786, 581, 4988, 538, 2470, 779, 17149, 695, 9613, 540, 17488, 344, 269, 275, 2290, 1554, 267, 519, 1152, 23456, 2451, 540, 519, 10373, 16160, 1379, 540, 519, 3689, 2622, 2782, 1522, 581, 30917, 543, 23898, 967, 626, 3907, 27720, 689, 1346, 2813, 676, 2067, 3157, 563, 272, 968, 288, 3778, 540, 519, 595, 7806, 619, 593, 8316, 628, 1941, 23374, 2223, 8316, 628, 1941, 23374, 9197, 831, 5948, 267, 15600, 5147, 476, 272, 267, 476, 1708, 274, 267, 4179, 2517, 24849, 628, 1941, 16466, 8619, 2593, 270, 20931, 270, 563, 273, 12448, 25306, 267, 968, 309, 574, 344, 23374, 476, 4489, 278, 281, 1635, 978, 779, 23671, 570, 8922, 874, 693, 1488, 6652, 2223, 630, 26780, 281, 14642, 2181, 344, 14539, 267, 476, 1220, 276, 1070, 476, 11011, 282, 5213, 990, 534, 28732, 267, 2991, 4118, 281, 634, 3816, 333, 1218, 540, 2782, 630, 6124, 3840, 281, 23202, 515, 517, 7734, 267, 476, 1960, 277, 1070, 476, 1556, 268, 3199, 563, 274, 968, 25486, 783, 7797, 476, 1220, 278, 1700, 1220, 279, 1848, 20448, 2782, 3400, 1407, 8189, 267, 476, 1220, 279, 269, 476, 1724, 269, 4179, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1001, 11793, 16318, 28656, 4905, 270, 10674, 2517, 4178, 6983, 342, 326, 322, 3820, 270, 611, 2381, 11721, 3796, 270, 25486, 783, 260, 736, 27751, 260, 1708, 23669, 268, 5400, 260, 736, 8512, 272, 15005, 563, 275, 10496, 638, 5202, 670, 27462, 267, 968, 5475, 519, 3397, 3415, 538, 853, 3415, 23089, 281, 634, 12791, 543, 19043, 540, 519, 966, 574, 344, 31790, 892, 538, 966, 574, 344, 23374, 281, 589, 8225, 1234, 817, 20156, 32308, 269, 2983, 32015, 15917, 525, 267, 12448, 594, 541, 665, 857, 267, 19375, 2142, 577, 628, 1245, 630, 12850, 31846, 281, 12070, 15728, 700, 4768, 1512, 2160, 4964, 267, 476, 1220, 278, 1070, 31798, 563, 30238, 9708, 676, 645, 1090, 674, 809, 525, 630, 5408, 782, 994, 268, 589, 8125, 550, 18401, 281, 7186, 779, 1234, 17474, 540, 3689, 2622, 2782, 11135, 26753, 910, 4864, 476, 1556, 267, 476, 1708, 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 ]
[ 799, 568, 1455, 547, 1312, 6810, 267, 855, 799, 568, 1932, 9678, 267, 543, 4386, 1586, 32047, 538, 476, 273, 18301, 476, 279, 281, 1321, 543, 25360, 332, 476, 10619, 281, 278, 1701, 1809, 1256, 519, 834, 701, 14760, 2453, 10362, 547, 513, 2663, 2085, 2437, 799, 853, 3559, 514, 543, 26450, 515, 879, 3605, 538, 7225, 2471, 476, 1704, 268, 2641, 798, 711, 29939, 1022, 4557, 762, 6169, 540, 713, 25195, 269, 634, 8360, 834, 5228, 8355, 547, 2142, 619, 515, 9346, 2437, 538, 7225, 2471, 476, 736, 281, 272, 267, 729, 4646, 1310, 519, 11175, 540, 519, 8355, 2572, 538, 5487, 880, 5937, 534, 267, 799, 3576, 1747, 693, 519, 30134, 618, 540, 519, 942, 540, 519, 16488, 269, 13913, 510, 403, 358, 403, 479, 27783, 507, 13913, 510, 403, 358, 403, 480, 403, 494, 267, 538, 7225, 2471, 476, 2641, 281, 2537, 267, 568, 849, 547, 581, 1336, 538, 25288, 476, 272, 281, 275, 282, 543, 519, 1866, 2901, 2049, 1586, 538, 519, 2835, 540, 15656, 267, 610, 723, 1044, 4636, 569, 14648, 563, 2171, 723, 513, 6109, 3611, 636, 585, 8159, 811, 8792, 569, 519, 942, 950, 519, 1433, 540, 7225, 2471, 729, 2854, 267, 538, 519, 3948, 538, 7225, 2471, 476, 272, 281, 2641, 267, 602, 519, 8614, 24650, 2572, 538, 13243, 1185, 711, 1044, 12082, 856, 676, 519, 25232, 267, 855, 546, 342, 3881, 972, 609, 519, 1453, 540, 18148, 834, 2863, 334, 713, 1554, 1701, 634, 8614, 24650, 2572, 7283, 538, 15896, 540, 13243, 267, 610, 540, 519, 3632, 12818, 27098, 267, 610, 519, 5580, 4884, 540, 13243, 267, 2394, 519, 942, 950, 6424, 4682, 1996, 13243, 1310, 519, 12964, 11031, 1185, 11760, 1864, 607, 4622, 267, 3576, 519, 28183, 540, 27098, 267, 543, 1500, 621, 519, 3854, 540, 1010, 10806, 896, 519, 2012, 540, 519, 2749, 540, 6424, 630, 273, 15656, 476, 276, 281, 277, 268, 280, 282, 476, 272, 20048, 2873, 476, 1556, 281, 275, 268, 280, 1040, 9182, 519, 1433, 729, 2854, 1354, 713, 2680, 267, 2901, 1282, 519, 1101, 5722, 1296, 540, 519, 12081, 540, 6424, 693, 1261, 321, 1258, 267, 610, 1282, 519, 12081, 540, 590, 4954, 267, 896, 7247, 519, 25232, 2907, 10150, 519, 2640, 540, 513, 16313, 673, 2229, 267, 2094, 590, 4954, 711, 1152, 10692, 609, 22838, 1996, 782, 519, 14763, 540, 5840, 267, 543, 834, 23437, 9121, 5840, 856, 540, 519, 3946, 540, 873, 602, 24401, 6150, 873, 257, 630, 272, 15656, 476, 1691, 281, 5325, 268, 4366, 1070, 855, 25116, 5128, 547, 11177, 519, 6392, 540, 519, 1876, 540, 2696, 538, 1010, 10806, 267, 607, 568, 10423, 689, 519, 1249, 602, 646, 7333, 1639, 519, 530, 23275, 543, 27394, 668, 19188, 856, 540, 519, 2244, 630, 272, 15656, 476, 2764, 281, 280, 1040, 634, 5657, 31053, 673, 3948, 4061, 538, 645, 6072, 1532, 987, 571, 630, 325, 269, 476, 1691, 321, 543, 476, 1428, 320, 1070, 547, 519, 1198, 602, 15656, 729, 519, 2278, 540, 519, 1433, 267, 949, 581, 865, 2484, 2953, 267, 602, 952, 621, 729, 711, 2854, 676, 15656, 5128, 2509, 519, 2673, 540, 1010, 1272, 267, 621, 729, 2854, 693, 1010, 1128, 12720, 676, 513, 7820, 22445, 540, 1010, 1153, 269, 2859, 982, 713, 621, 568, 7543, 547, 6430, 269, 1924, 1454, 267, 2705, 267, 568, 693, 782, 2621, 1978, 267, 602, 519, 1433, 1281, 711, 2270, 15244, 540, 513, 2663, 2085, 2901, 538, 922, 9115, 610, 922, 1893, 267, 543, 602, 7225, 2471, 476, 1240, 281, 1789, 1281, 711, 3277, 547, 519, 942, 540, 519, 24811, 630, 5408, 519, 16555, 593, 713, 8574, 1916, 4415, 2543, 547, 519, 2959, 540, 799, 519, 2278, 1500, 946, 267, 8259, 649, 616, 5423, 547, 3398, 2150, 523, 762, 19165, 607, 2348, 782, 519, 14496, 540, 3140, 5013, 267, 621, 568, 7543, 547, 3715, 4376, 811, 982, 602, 646, 16668, 1010, 2326, 711, 1152, 689, 5711, 2245, 267, 855, 849, 689, 2854, 6054, 269, 901, 568, 6654, 689, 519, 3169, 1145, 540, 519, 3140, 543, 26567, 6589, 267, 543, 1869, 811, 865, 689, 519, 11606, 540, 8984, 543, 3312, 7592, 543, 7215, 602, 2743, 519, 5467, 538, 519, 3140, 5961, 267, 930, 540, 799, 616, 1360, 14969, 269, 634, 3140, 535, 23474, 267, 3169, 1145, 267, 543, 12667, 1145, 540, 6609, 7805, 538, 1169, 851, 540, 519, 1433, 616, 1152, 547, 581, 6045, 538, 513, 960, 799, 5088, 806, 513, 1974, 540, 476, 12573, 1296, 267, 593, 519, 1139, 3789, 602, 519, 2278, 1500, 946, 540, 22973, 5638, 267, 610, 519, 21981, 540, 7606, 945, 941, 2713, 950, 519, 2621, 7018, 269, 901, 6763, 856, 865, 5693, 538, 1169, 851, 540, 519, 1433, 267, 602, 621, 568, 15861, 1256, 676, 13915, 945, 616, 25997, 676, 741, 1378, 2915, 3901, 673, 10054, 547, 20912, 519, 4890, 5168, 610, 4641, 540, 519, 14393, 31397, 2694, 540, 519, 1686, 269, 2060, 2543, 547, 519, 2470, 540, 891, 2959, 267, 2705, 267, 649, 666, 1152, 28756, 675, 602, 7225, 2471, 476, 272, 543, 476, 1704, 268, 2641, 941, 8547, 2390, 2854, 6589, 267, 609, 799, 519, 2278, 540, 519, 1433, 540, 26056, 729, 849, 31235, 282, 543, 602, 519, 6589, 540, 1546, 4011, 1695, 543, 4446, 752, 267, 540, 717, 728, 517, 267, 543, 519, 1272, 540, 28932, 517, 267, 941, 3144, 689, 1114, 1603, 267, 538, 11047, 1276, 607, 891, 6810, 616, 13747, 689, 835, 1776, 676, 1082, 15116, 885, 269, 630, 10702, 24616, 593, 713, 1641, 786, 581, 1336, 538, 519, 1163, 3789, 3294, 8094, 296, 269, 5900, 3363, 540, 5840, 27870, 519, 2052, 22528, 2572, 267, 543, 27870, 8614, 327, 990, 1695, 4706, 2696, 910, 7225, 2471, 476, 272, 268, 274, 281, 277, 454, 295, 739, 1988, 1063, 5840, 543, 519, 2052, 22528, 2572, 1310, 26056, 781, 12280, 910, 7225, 2471, 476, 272, 281, 272, 268, 273, 281, 276, 454, 5475, 519, 2669, 540, 26056, 519, 11031, 540, 5840, 17251, 547, 3136, 519, 2112, 609, 519, 2052, 22528, 2572, 267, 602, 789, 1522, 608, 32558, 622, 873, 15587, 689, 519, 2244, 602, 1185, 1044, 2016, 873, 585, 606, 18472, 269, 769, 13076, 609, 519, 10143, 4971, 267, 28311, 862, 10642, 519, 1193, 1057, 538, 7681, 609, 590, 830, 517, 267, 1159, 1774, 519, 4622, 540, 2142, 345, 2131, 267, 22482, 13243, 267, 1261, 321, 1258, 543, 13891, 597, 2390, 519, 10239, 267, 2098, 32397, 987, 538, 519, 5045, 2244, 267, 543, 1614, 540, 519, 8783, 4872, 540, 519, 5845, 626, 1149, 267, 543, 3576, 15896, 540, 519, 10239, 282, 855, 729, 8572, 547, 608, 32558, 622, 519, 11317, 540, 519, 10750, 267, 1175, 607, 519, 18148, 2572, 941, 8572, 547, 5397, 519, 8614, 24650, 2572, 856, 540, 13243, 630, 341, 341, 269, 476, 272, 268, 2641, 1040, 634, 14316, 540, 9478, 849, 22482, 519, 2749, 540, 5975, 3559, 630, 297, 644, 2471, 476, 272, 281, 2420, 268, 2918, 5148, 855, 689, 519, 6967, 10034, 540, 519, 2244, 9444, 519, 2494, 817, 2572, 267, 6862, 519, 661, 874, 571, 574, 2572, 267, 6862, 519, 11031, 540, 14858, 12712, 684, 267, 1306, 615, 267, 543, 715, 7469, 2145, 328, 30461, 519, 2052, 22528, 2572, 281, 782, 602, 789, 1705, 729, 547, 1118, 873, 29815, 776, 630, 297, 644, 2471, 476, 272, 281, 2767, 268, 3451, 1040, 634, 8355, 2572, 941, 2965, 7142, 1394, 676, 519, 2549, 528, 2572, 856, 540, 519, 10750, 883, 519, 10239, 267, 1317, 519, 8545, 9738, 741, 3180, 540, 519, 10034, 540, 519, 10750, 267, 4352, 519, 2777, 540, 9478, 22482, 873, 543, 1500, 873, 29815, 776, 630, 297, 644, 2471, 476, 272, 281, 4097, 268, 3607, 1040, 634, 21425, 540, 519, 7083, 4061, 7902, 693, 4425, 577, 574, 267, 543, 10294, 547, 519, 25232, 267, 602, 1317, 789, 1185, 711, 23491, 539, 519, 4971, 540, 519, 7083, 267, 547, 1118, 1100, 26315, 609, 519, 2052, 22528, 2572, 267, 519, 7083, 1131, 1100, 811, 5397, 856, 891, 6082, 267, 855, 1131, 2014, 873, 543, 741, 10971, 547, 1831, 513, 2879, 732, 547, 873, 630, 297, 644, 2471, 476, 273, 281, 272, 268, 276, 1040, 3245, 713, 10143, 13414, 621, 568, 10423, 267, 593, 519, 835, 1688, 267, 602, 519, 5821, 547, 608, 32558, 622, 519, 2052, 22528, 2572, 1185, 922, 5072, 538, 519, 32226, 540, 519, 11031, 540, 5840, 282, 543, 593, 519, 824, 1688, 267, 602, 519, 6589, 540, 519, 10617, 540, 519, 1114, 11031, 267, 543, 519, 21773, 3130, 540, 519, 10034, 538, 519, 1114, 22590, 856, 540, 799, 519, 2052, 22528, 2572, 941, 711, 30461, 267, 941, 2966, 547, 1397, 5693, 519, 10182, 540, 519, 25232, 547, 519, 2052, 22528, 2572, 538, 519, 2085, 5612, 1739, 519, 2669, 540, 26056, 267, 610, 547, 6813, 519, 3140, 4493, 593, 799, 519, 1646, 540, 5840, 1964, 539, 538, 519, 5736, 540, 519, 16488, 563, 3086, 1310, 519, 2669, 540, 26056, 621, 3357, 547, 1780, 267, 602, 519, 1453, 540, 5840, 4280, 519, 28789, 267, 6031, 267, 5808, 4927, 979, 909, 585, 721, 1996, 519, 2052, 22528, 2572, 1101, 267, 547, 4339, 1996, 873, 286, 4415, 519, 1913, 834, 3086, 267, 1310, 519, 2669, 540, 26056, 267, 621, 3357, 547, 1780, 2437, 519, 1433, 540, 7225, 2471, 3217, 909, 519, 8142, 540, 519, 1686, 1141, 519, 1433, 540, 26056, 1185, 12628, 621, 267, 547, 9305, 519, 2417, 1646, 540, 519, 26315, 4182, 269, 589, 2110, 942, 1354, 1010, 2669, 267, 26056, 1185, 10356, 519, 22242, 543, 9843, 540, 519, 1004, 1472, 1864, 267, 543, 1305, 1354, 873, 519, 3003, 9552, 540, 519, 2052, 22528, 2572, 998, 519, 9631, 30876, 582, 550, 948, 540, 519, 7083, 267, 952, 789, 1131, 1152, 15666, 609, 535, 23474, 547, 519, 7083, 282, 15029, 267, 693, 519, 1482, 942, 267, 646, 849, 11329, 856, 547, 873, 519, 12178, 540, 19980, 6470, 689, 519, 7083, 630, 297, 9655, 7699, 476, 2537, 1040, 5457, 532, 713, 740, 3000, 819, 543, 9963, 267, 519, 25232, 22679, 1600, 267, 1310, 26056, 781, 2669, 267, 945, 1058, 2253, 519, 2112, 1996, 519, 2052, 22528, 2572, 945, 1869, 7283, 547, 581, 10032, 282, 543, 519, 7083, 12943, 267, 834, 297, 644, 1695, 4927, 979, 909, 281, 1531, 1245, 267, 594, 723, 9447, 519, 2244, 883, 1010, 1688, 257, 630, 297, 644, 2471, 476, 272, 281, 272, 267, 7225, 2471, 476, 272, 281, 273, 1040, 13913, 495, 32679, 27783, 498, 25149, 403, 498, 13913, 358, 403, 479, 403, 494, 403, 506, 267, 547, 2307, 609, 8614, 327, 990, 1695, 585, 519, 3483, 540, 13844, 513, 17083, 540, 519, 10143, 786, 267, 568, 15186, 519, 1482, 607, 13913, 498, 403, 494, 25149, 32679, 29645, 27783, 507, 13913, 495, 32679, 403, 508, 403, 358, 403, 479, 403, 353, 32679, 403, 502, 13913, 358, 403, 479, 403, 494, 403, 506, 630, 301, 13246, 476, 2767, 281, 2641, 1070, 547, 22679, 790, 519, 786, 540, 519, 7083, 998, 519, 772, 3234, 543, 774, 17026, 574, 540, 519, 1164, 17308, 269, 3245, 713, 942, 4464, 22679, 3931, 540, 519, 7083, 4386, 609, 3152, 4908, 630, 341, 573, 1421, 7225, 2471, 476, 736, 281, 2537, 267, 7225, 2471, 476, 736, 281, 2767, 282, 476, 272, 15656, 476, 1015, 281, 2420, 282, 476, 272, 15656, 476, 2420, 281, 1015, 282, 476, 272, 15656, 476, 2537, 281, 273, 267, 3092, 13776, 607, 1134, 607, 519, 24190, 4082, 834, 2532, 540, 4432, 2129, 574, 257, 538, 7225, 2471, 476, 1240, 281, 276, 282, 7225, 2471, 476, 736, 281, 1240, 282, 476, 272, 15656, 476, 1691, 281, 4391, 282, 476, 272, 15656, 476, 2420, 281, 1724, 282, 476, 272, 20048, 2873, 476, 1691, 281, 1015, 282, 6466, 15584, 543, 26056, 4607, 1463, 11240, 725, 689, 2696, 269, 634, 8360, 13913, 494, 403, 506, 402, 378, 403, 498, 403, 505, 32679, 403, 510, 403, 351, 403, 510, 21012, 13913, 503, 403, 351, 403, 506, 403, 498, 267, 834, 2998, 909, 547, 519, 2052, 22528, 2572, 2437, 568, 3989, 811, 10502, 676, 519, 1739, 1913, 267, 834, 1729, 4339, 1996, 873, 282, 257, 865, 602, 13913, 351, 403, 506, 403, 498, 568, 1031, 1934, 849, 547, 20301, 519, 5859, 1996, 513, 4182, 630, 5408, 693, 26056, 476, 279, 281, 272, 1070, 1510, 972, 1373, 1022, 13766, 267, 2705, 267, 585, 721, 547, 1491, 13913, 494, 403, 506, 538, 519, 2631, 540, 13913, 351, 403, 506, 269, 13913, 495, 403, 359, 32679, 403, 501, 403, 506, 32679, 403, 498, 13913, 351, 403, 506, 403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 589, 7008, 3275, 3516, 267, 594, 729, 2620, 883, 1250, 5767, 31117, 281, 1565, 3388, 972, 729, 547, 917, 827, 13271, 269, 962, 788, 267, 17228, 269, 898, 3323, 21030, 1836, 2614, 910, 8384, 930, 2470, 32026, 1934, 543, 972, 267, 2542, 513, 1433, 610, 1079, 269, 1809, 1354, 1279, 267, 594, 1336, 8885, 29957, 998, 678, 270, 3240, 19223, 585, 3108, 593, 1439, 267, 533, 1681, 936, 4930, 827, 1114, 2249, 262, 9249, 267, 11477, 3096, 267, 543, 1256, 741, 20369, 32676, 545, 3601, 630, 30750, 267, 1810, 1405, 9794, 803, 256, 6393, 2026, 851, 540, 1250, 1391, 547, 1831, 513, 3020, 1187, 3766, 8500, 4274, 267, 594, 4956, 547, 2328, 909, 513, 3102, 3391, 24223, 1169, 2582, 17580, 25487, 5065, 547, 3345, 3013, 269, 1924, 972, 594, 729, 267, 17511, 2476, 693, 1250, 3972, 344, 15291, 950, 594, 16686, 2066, 606, 3390, 281, 594, 1185, 1031, 519, 2165, 834, 325, 25193, 1893, 257, 2429, 1250, 3003, 12377, 547, 4766, 875, 1585, 2249, 28078, 609, 835, 1776, 269, 3733, 9375, 3659, 11329, 856, 602, 621, 7012, 1405, 4010, 5467, 7888, 543, 6700, 4657, 621, 547, 834, 325, 25193, 1983, 1701, 772, 724, 780, 3086, 267, 952, 596, 4312, 2479, 6836, 547, 1689, 1175, 21450, 3364, 538, 513, 1804, 3561, 267, 596, 917, 1018, 513, 1928, 621, 666, 581, 269, 2334, 781, 1141, 938, 15210, 3659, 5124, 3357, 538, 13561, 269, 2060, 513, 2241, 7097, 2147, 547, 519, 835, 3177, 1657, 267, 594, 8719, 1169, 3236, 540, 834, 331, 4833, 257, 609, 834, 12921, 1571, 257, 1369, 7643, 269, 3371, 781, 875, 594, 1705, 621, 1384, 3499, 7090, 454, 3698, 5372, 29999, 31526, 24786, 267, 2025, 29999, 267, 1007, 29999, 2187, 825, 609, 1930, 31526, 24786, 267, 1412, 337, 10807, 607, 3758, 912, 1038, 1543, 815, 3758, 18667, 4590, 825, 1543, 815, 1543, 18622, 2897, 263, 1245, 29999, 267, 1007, 29999, 994, 825, 609, 1930, 31526, 24786, 267, 1412, 342, 10807, 607, 3758, 912, 1038, 3758, 22182, 263, 20880, 2020, 516, 2897, 29999, 3488, 332, 2313, 3336, 318, 2006, 11245, 6155, 665, 343, 3299, 1412, 325, 25193, 1893, 3299, 1412, 325, 25193, 1983, 5073, 7884, 9617, 23396, 856, 2387, 262, 9987, 17902, 262, 12452, 2387, 262, 23458, 262, 12452, 543, 2387, 262, 20597, 1571, 262, 319, 585, 707, 1378, 3758, 2619, 543, 5551, 1913, 267, 543, 21350, 10042, 256, 2382, 656, 2527, 1265, 7146, 3146, 2897, 2962, 780, 3383, 1946, 993, 594, 4687, 713, 9583, 4351, 1650, 609, 596, 782, 2221, 286, 4270, 267, 1317, 3006, 649, 1205, 865, 9575, 909, 538, 519, 6263, 3877, 540, 938, 3785, 1107, 2436, 789, 4125, 1603, 10274, 827, 13271, 610, 8193, 1950, 6620, 1107, 602, 649, 7340, 972, 616, 2645, 11593, 2139, 547, 1118, 1272, 4443, 269, 22737, 1346, 2200, 267, 1451, 689, 873, 267, 543, 2671, 707, 8906, 609, 1866, 269, 1411, 2760, 917, 945, 1522, 4324, 689, 707, 1702, 267, 6612, 267, 543, 9811, 267, 6148, 1256, 707, 5594, 20868, 13395, 1719, 269, 8414, 8193, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1131, 596, 1711, 513, 5124, 7097, 602, 30283, 782, 20825, 540, 513, 2016, 2262, 538, 513, 1257, 3758, 609, 1776, 2262, 888, 24874, 2262, 281, 5678, 454, 6124, 2262, 281, 10341, 454, 17806, 3758, 1543, 281, 594, 899, 1565, 5752, 5678, 563, 3698, 5372, 29999, 31526, 24786, 267, 2025, 29999, 267, 1007, 29999, 2187, 825, 609, 1930, 31526, 24786, 267, 1412, 337, 10807, 607, 3758, 912, 1038, 1543, 815, 3758, 18667, 4590, 825, 1543, 815, 1543, 18622, 2897, 263, 1245, 29999, 267, 1007, 29999, 994, 825, 609, 1930, 31526, 24786, 267, 1412, 342, 10807, 607, 3758, 912, 1038, 3758, 22182, 263, 20880, 2020, 516, 2897, 29999, 3488, 9987, 17902, 3299, 1412, 23458, 3299, 1412, 20597, 1571, 10807, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 277, 281, 7913, 28686, 14409, 630, 9169, 303, 264, 11629, 999, 454, 24801, 19030, 2162, 4985, 692, 1103, 2221, 781, 2029, 5251, 267, 3059, 5365, 4393, 630, 9169, 303, 264, 4249, 513, 2629, 1909, 538, 7175, 3875, 3156, 602, 7048, 593, 4393, 12746, 6786, 538, 519, 3059, 6389, 269, 3245, 26313, 547, 19180, 1949, 267, 24118, 31627, 267, 16669, 11418, 267, 543, 7082, 3457, 971, 607, 16389, 267, 14342, 267, 543, 24195, 910, 667, 9915, 25121, 1106, 519, 22449, 540, 2413, 7384, 1949, 269, 901, 3184, 12538, 883, 1585, 667, 9915, 11265, 3344, 267, 3246, 513, 4396, 5748, 585, 1053, 5461, 538, 13197, 11678, 5473, 667, 9915, 6620, 543, 8800, 6388, 269, 1284, 786, 2263, 9400, 14295, 342, 2431, 781, 960, 693, 932, 6064, 7010, 267, 799, 6212, 593, 8888, 5499, 3435, 1210, 4359, 667, 9915, 2553, 780, 2971, 11137, 540, 667, 9915, 23990, 5071, 692, 4263, 922, 4295, 267, 667, 9915, 3322, 22392, 15768, 6066, 9696, 8204, 6024, 6066, 6786, 998, 6310, 4238, 899, 28708, 267, 9756, 267, 19003, 267, 22263, 2079, 267, 543, 14759, 1063, 942, 543, 4908, 11890, 269, 634, 3119, 3804, 568, 1419, 6846, 5786, 267, 4183, 10868, 267, 13496, 267, 19349, 267, 9668, 267, 7020, 267, 16759, 267, 25244, 267, 1629, 617, 1637, 267, 1232, 11582, 267, 31992, 267, 12605, 267, 610, 7004, 269, 769, 713, 2796, 267, 667, 9915, 25121, 3277, 547, 7463, 21932, 2966, 4481, 585, 7900, 891, 4247, 7561, 780, 6524, 11362, 4514, 883, 667, 9915, 6189, 267, 1577, 721, 30603, 930, 4909, 3741, 5817, 1034, 1455, 667, 9915, 6620, 1031, 676, 4648, 899, 6004, 269, 14295, 342, 2431, 693, 932, 6064, 7010, 269, 1452, 3741, 1331, 1384, 265, 2878, 11742, 23792, 5811, 5093, 24167, 519, 3601, 540, 513, 5365, 1759, 593, 875, 621, 2242, 936, 942, 269, 6206, 2035, 1331, 20949, 3210, 267, 1757, 1275, 267, 6617, 267, 5276, 640, 267, 543, 3965, 1652, 5106, 269, 5384, 6389, 2409, 3335, 4125, 3017, 4834, 267, 25276, 12086, 267, 543, 13113, 20949, 3210, 630, 293, 7644, 264, 12086, 563, 265, 2878, 293, 15968, 23792, 5811, 5093, 10312, 525, 593, 7421, 6786, 1759, 593, 741, 19706, 3334, 269, 12729, 2645, 1934, 616, 22263, 3126, 267, 22263, 2981, 267, 5487, 2897, 2981, 267, 2098, 20675, 845, 267, 543, 2598, 4740, 22263, 17992, 630, 5263, 307, 1040, 22039, 6389, 4485, 5512, 3608, 30582, 3842, 3728, 22263, 2981, 630, 293, 10499, 1070, 6882, 8492, 267, 5951, 7410, 267, 543, 1016, 7171, 8193, 563, 265, 2878, 21809, 6750, 10613, 5093, 22676, 720, 5506, 3069, 543, 8579, 14778, 547, 5659, 4351, 3157, 543, 26776, 1239, 269, 28871, 6964, 2553, 1331, 1611, 4009, 5470, 6922, 1436, 267, 654, 1329, 518, 6953, 641, 325, 3830, 267, 17833, 2006, 19003, 267, 2547, 10945, 19406, 267, 5021, 10171, 16759, 267, 8367, 4152, 267, 28662, 3375, 1818, 267, 543, 4460, 990, 3631, 780, 4415, 713, 4282, 267, 649, 666, 1631, 8399, 547, 4983, 1896, 2442, 667, 9915, 25121, 543, 1865, 741, 5383, 267, 7687, 267, 543, 4123, 26160, 950, 7598, 1483, 8996, 1949, 780, 2971, 966, 517, 3026, 30977, 5288, 269, 12370, 15339, 692, 763, 13153, 3026, 30977, 6189, 3096, 513, 19618, 3965, 2230, 585, 1312, 1982, 5528, 543, 1239, 267, 1247, 519, 12370, 6189, 24508, 873, 883, 3982, 8823, 1107, 6044, 3965, 630, 296, 2173, 25514, 264, 543, 1239, 3965, 630, 291, 2173, 25514, 1040, 4014, 1312, 25121, 723, 1044, 4922, 7550, 538, 2489, 26928, 8713, 5825, 267, 12370, 6189, 2488, 1713, 2640, 585, 667, 9915, 3156, 1813, 547, 2799, 6252, 1143, 1063, 10099, 4221, 5528, 543, 17034, 1766, 1343, 269, 9182, 267, 2413, 1164, 26024, 667, 9915, 13365, 2356, 1246, 7648, 540, 519, 12370, 2203, 780, 13706, 513, 2241, 9062, 268, 3147, 636, 3634, 5106, 4122, 1336, 538, 667, 9915, 6620, 269, 589, 6093, 6388, 1522, 1413, 899, 713, 912, 3499, 322, 1087, 454, 14310, 815, 1267, 1341, 11664, 2608, 3403, 5334, 2217, 3248, 8199, 1103, 513, 13153, 3026, 30977, 3684, 267, 1142, 4783, 1131, 2154, 20367, 10099, 2583, 689, 594, 2173, 25514, 630, 1729, 23074, 519, 6044, 264, 543, 667, 2173, 25514, 630, 1729, 4452, 519, 14170, 543, 5439, 1040, 1717, 267, 538, 513, 12370, 6189, 16267, 267, 21800, 1569, 3587, 2009, 2094, 789, 21078, 538, 5094, 3965, 5624, 269, 1306, 513, 1267, 267, 2789, 9979, 949, 581, 10710, 829, 21767, 267, 3056, 547, 8101, 2773, 9283, 780, 8601, 922, 9029, 267, 6986, 12370, 6189, 6799, 2591, 3823, 3009, 5860, 543, 8112, 3379, 547, 922, 13153, 3026, 30977, 11218, 269, 1677, 11574, 891, 2152, 1510, 27531, 2773, 267, 4207, 667, 9915, 25121, 1419, 6451, 2934, 689, 1312, 3631, 267, 2870, 10316, 6272, 1634, 607, 3525, 1881, 12370, 11629, 999, 780, 2971, 590, 8379, 291, 14409, 692, 306, 17532, 19019, 13038, 4578, 630, 306, 8379, 291, 264, 4393, 4564, 1776, 3532, 4480, 8246, 14916, 1369, 667, 9915, 25121, 269, 1635, 22589, 9838, 4238, 2066, 2789, 1239, 2609, 21276, 569, 267, 590, 8379, 291, 15186, 4679, 12985, 998, 1584, 269, 15019, 1242, 7620, 676, 6152, 2706, 28669, 619, 899, 595, 2001, 268, 272, 267, 590, 8379, 291, 2663, 1336, 7839, 10073, 538, 667, 9915, 13365, 7064, 547, 10124, 971, 607, 27311, 781, 27493, 311, 267, 20837, 532, 590, 8379, 291, 6987, 5014, 630, 7704, 292, 1070, 11628, 21070, 6987, 5014, 630, 16787, 311, 1070, 8121, 300, 17252, 2177, 267, 543, 5295, 15425, 1325, 16210, 309, 1815, 4066, 780, 288, 5929, 1383, 20515, 590, 8379, 291, 781, 1761, 6013, 538, 7311, 16258, 22263, 3690, 13257, 630, 293, 10499, 338, 264, 1107, 1898, 2679, 7161, 538, 1082, 667, 9915, 3156, 269, 1280, 3236, 267, 2015, 513, 2234, 1460, 268, 273, 5463, 11582, 2987, 6874, 830, 630, 13312, 307, 264, 18173, 19106, 1900, 3238, 1282, 674, 10499, 17883, 912, 3499, 1663, 320, 454, 343, 25208, 316, 815, 1535, 25208, 316, 1341, 1535, 25208, 266, 301, 270, 273, 30092, 343, 25208, 266, 301, 270, 273, 316, 815, 1535, 25208, 316, 910, 1535, 25208, 266, 301, 270, 273, 30092, 8199, 2080, 267, 2387, 343, 26514, 319, 18575, 1950, 3403, 10321, 1373, 9927, 267, 543, 2387, 301, 319, 4016, 547, 741, 3259, 269, 16792, 590, 8379, 291, 3741, 2636, 4393, 2789, 8424, 540, 11378, 8195, 267, 3648, 4227, 2949, 11056, 2053, 780, 4913, 267, 5103, 922, 26350, 267, 590, 8379, 291, 849, 12857, 1978, 10148, 269, 4595, 782, 3742, 4393, 4559, 1590, 14892, 519, 1482, 6044, 693, 1022, 2016, 4090, 267, 7936, 27754, 13514, 4049, 20507, 585, 19585, 6898, 269, 3958, 267, 5883, 29444, 1851, 1239, 2609, 3587, 5051, 4101, 607, 1966, 7306, 1332, 3677, 269, 4475, 267, 4140, 5534, 946, 540, 590, 8379, 291, 2553, 3788, 2565, 950, 17306, 667, 9915, 6620, 780, 2971, 966, 299, 296, 310, 1299, 10016, 619, 5632, 541, 14409, 692, 25802, 7043, 19019, 6478, 630, 309, 299, 296, 310, 264, 543, 25436, 5632, 541, 21932, 2099, 1079, 3606, 2994, 6322, 693, 7393, 667, 9915, 2773, 676, 29227, 6044, 1377, 6252, 1143, 630, 6579, 303, 1040, 5637, 4485, 3801, 547, 3390, 543, 14892, 2789, 5528, 829, 9219, 4783, 267, 7551, 2810, 2949, 998, 1584, 780, 309, 299, 296, 310, 25121, 12799, 16616, 594, 10861, 3255, 547, 29085, 5830, 267, 945, 1287, 5352, 2493, 1227, 16516, 15985, 956, 5627, 4830, 5528, 19882, 1927, 269, 901, 1935, 29776, 8800, 6988, 855, 3340, 4977, 29289, 6066, 2079, 543, 10427, 20319, 6620, 547, 2327, 6099, 13345, 269, 6201, 540, 5010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3349, 11924, 274, 3952, 5560, 2700, 1063, 1283, 3349, 543, 838, 3419, 3349, 11924, 274, 10623, 564, 263, 8700, 540, 1283, 3349, 11924, 476, 1015, 3952, 27108, 630, 276, 3952, 593, 1283, 543, 5377, 6661, 476, 8618, 3952, 267, 2161, 815, 476, 4792, 3952, 563, 310, 2839, 8025, 815, 476, 7761, 3952, 630, 21920, 540, 1283, 3349, 264, 1341, 476, 1015, 9994, 766, 3952, 630, 276, 3952, 593, 1283, 543, 5377, 264, 815, 476, 11025, 3952, 267, 2161, 284, 476, 5952, 3952, 563, 763, 4998, 2450, 2838, 585, 519, 1657, 7333, 21103, 568, 10778, 4792, 3952, 1535, 476, 5952, 3952, 269, 0, 8620, 513, 4786, 540, 16803, 1071, 2120, 1210, 6239, 7732, 779, 717, 869, 1721, 613, 8955, 2759, 614, 563, 9596, 875, 547, 1711, 6119, 585, 8955, 5969, 543, 23678, 1324, 1210, 23489, 16503, 15249, 269, 5192, 606, 4367, 593, 875, 519, 717, 869, 1721, 613, 8955, 2759, 614, 1568, 543, 4585, 621, 538, 2962, 693, 6239, 7732, 781, 631, 5474, 10628, 563, 17803, 717, 4629, 16810, 281, 1923, 24771, 20661, 1923, 20661, 630, 1240, 266, 264, 11406, 14110, 7728, 570, 312, 14154, 281, 1923, 3163, 1923, 631, 5474, 10628, 1923, 20122, 9812, 1923, 4937, 9314, 1923, 7913, 17402, 11406, 307, 8980, 306, 281, 1923, 7956, 3796, 1923, 5303, 1923, 631, 5474, 10628, 1923, 7913, 10341, 1923, 7913, 17402, 1923, 27207, 1923, 3203, 11406, 347, 12507, 267, 9947, 476, 4962, 1475, 280, 281, 876, 4456, 547, 476, 279, 281, 876, 15014, 2008, 30106, 826, 267, 9947, 476, 6187, 1475, 280, 281, 876, 4456, 547, 476, 279, 281, 876, 15014, 2008, 347, 26607, 267, 9947, 476, 5881, 1475, 280, 281, 876, 4456, 547, 476, 279, 281, 876, 15014, 2008, 347, 1320, 340, 267, 9947, 476, 5400, 1475, 280, 281, 876, 4456, 547, 476, 279, 281, 876, 15014, 2008, 26180, 686, 267, 9947, 476, 6021, 1475, 280, 281, 876, 4456, 547, 476, 277, 281, 876, 15014, 2008, 16085, 520, 267, 9947, 476, 1015, 1475, 280, 281, 876, 4456, 547, 476, 276, 281, 876, 15014, 2008, 16085, 684, 267, 9947, 476, 1556, 1475, 1321, 281, 876, 15014, 547, 476, 276, 281, 876, 15014, 2008, 763, 1101, 16803, 5398, 7732, 2679, 8118, 593, 5181, 476, 1626, 267, 476, 6245, 271, 676, 519, 23778, 543, 4032, 612, 540, 589, 828, 1372, 523, 593, 519, 5087, 2427, 540, 6301, 9335, 4639, 269, 769, 476, 4489, 274, 267, 513, 1007, 1292, 5399, 8118, 269, 901, 2679, 729, 8719, 538, 476, 2735, 271, 676, 6239, 7732, 267, 693, 519, 1699, 4087, 593, 3840, 25376, 4582, 731, 563, 1103, 476, 1001, 271, 267, 6239, 7732, 556, 19945, 2989, 1310, 5111, 476, 1240, 3275, 540, 22058, 725, 269, 6239, 7732, 8118, 609, 513, 9241, 26016, 1242, 1101, 6989, 267, 799, 2882, 513, 7991, 12389, 18740, 602, 3217, 5413, 540, 2067, 1769, 269, 634, 14411, 7732, 5948, 4378, 10696, 6239, 538, 476, 1001, 273, 609, 606, 11629, 1116, 543, 5071, 26306, 8366, 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 ]
[ 0, 1103, 476, 3707, 273, 267, 519, 536, 691, 2658, 540, 2701, 15343, 731, 781, 23392, 3046, 15608, 590, 1017, 558, 11827, 519, 22206, 1359, 645, 770, 731, 15483, 18571, 269, 1677, 10826, 519, 3703, 10136, 8165, 538, 519, 11135, 540, 4432, 1325, 877, 514, 689, 3983, 13793, 13569, 267, 590, 1017, 558, 2919, 513, 13793, 1478, 16185, 9967, 540, 575, 514, 267, 6216, 344, 267, 3787, 1562, 267, 18654, 267, 543, 20909, 14420, 563, 763, 2407, 1686, 540, 519, 22206, 1359, 645, 770, 731, 543, 922, 23266, 568, 513, 5963, 4241, 835, 269, 898, 711, 1152, 5280, 547, 4339, 519, 4436, 4229, 1472, 31924, 681, 2174, 601, 1282, 5822, 2622, 2782, 855, 849, 2968, 513, 5929, 15483, 18571, 11600, 602, 781, 1869, 2442, 2221, 563, 2691, 729, 519, 22206, 1359, 645, 770, 731, 1101, 1500, 888, 26944, 2103, 3858, 602, 519, 4235, 729, 11827, 28069, 538, 476, 3707, 273, 269, 9603, 547, 5018, 4508, 528, 17732, 267, 590, 1017, 558, 1185, 547, 27906, 1047, 543, 3357, 909, 609, 513, 598, 1723, 794, 540, 717, 514, 267, 15952, 344, 267, 3787, 1562, 267, 18654, 267, 543, 20909, 14420, 269, 901, 24253, 15483, 18571, 13820, 539, 1434, 543, 5280, 2061, 4049, 13793, 13569, 563, 763, 4235, 3533, 2968, 1360, 2442, 10838, 3703, 7980, 269, 1924, 2442, 602, 10136, 3323, 751, 5586, 1090, 2719, 519, 15678, 547, 1931, 811, 7727, 269, 1635, 519, 1439, 540, 519, 12959, 267, 17529, 540, 22206, 1359, 645, 770, 1841, 1185, 1044, 9447, 1318, 547, 519, 4395, 3515, 563, 763, 2347, 1686, 540, 519, 22206, 1359, 645, 770, 731, 15483, 18571, 454, 297, 4141, 590, 1017, 558, 568, 606, 12266, 4035, 609, 606, 7969, 4282, 269, 18004, 538, 476, 4489, 271, 538, 595, 23879, 543, 6659, 538, 5527, 267, 646, 4166, 4362, 1010, 2648, 585, 7998, 269, 1306, 513, 8036, 2447, 626, 267, 646, 1256, 4682, 547, 20528, 585, 960, 269, 3097, 30631, 1302, 267, 646, 3459, 1210, 1010, 7811, 7998, 1983, 585, 3575, 1108, 543, 5249, 607, 513, 536, 1301, 534, 563, 1103, 476, 4350, 278, 267, 1282, 2622, 2782, 4083, 267, 646, 3323, 536, 691, 2056, 693, 2701, 15343, 731, 781, 23392, 538, 595, 23879, 267, 5527, 269, 2311, 602, 942, 267, 3703, 10136, 10692, 8210, 7773, 681, 2174, 601, 781, 10136, 543, 6836, 547, 7903, 873, 1394, 883, 31512, 807, 269, 3097, 2704, 4022, 729, 513, 3586, 13959, 538, 2053, 540, 2112, 269, 2311, 519, 1482, 942, 267, 2705, 267, 519, 3761, 540, 4568, 568, 513, 1966, 267, 607, 621, 729, 538, 5527, 1282, 2622, 2782, 4083, 269, 9182, 267, 519, 3703, 7980, 4166, 17388, 609, 3983, 13793, 1478, 2589, 3361, 676, 10438, 17071, 4508, 528, 563, 1103, 476, 3707, 273, 267, 547, 948, 609, 1018, 646, 1223, 798, 1655, 267, 590, 1017, 558, 2919, 513, 11600, 602, 729, 9277, 547, 957, 607, 513, 13793, 1478, 10826, 585, 519, 20466, 10136, 602, 10692, 538, 519, 11135, 540, 4432, 1325, 877, 514, 269, 910, 4517, 646, 16309, 563, 9827, 267, 538, 476, 4198, 278, 267, 646, 729, 30461, 689, 5527, 585, 7164, 4128, 269, 3143, 835, 6487, 952, 713, 5949, 1317, 646, 5280, 519, 3703, 7952, 1282, 519, 2112, 610, 1813, 547, 1776, 10071, 269, 3097, 3674, 621, 1500, 609, 536, 712, 2548, 610, 6216, 344, 888, 289, 8681, 344, 568, 519, 3312, 12146, 540, 519, 22206, 1359, 645, 770, 731, 15483, 18571, 269, 25816, 2548, 729, 1031, 2663, 607, 513, 12990, 585, 6216, 344, 538, 519, 15483, 18571, 11600, 563, 763, 2963, 585, 713, 3948, 2501, 689, 15608, 590, 1017, 558, 781, 8250, 9887, 269, 11518, 834, 6826, 778, 321, 636, 257, 7137, 787, 4371, 513, 11000, 1572, 281, 968, 763, 22206, 1359, 645, 770, 731, 281, 15608, 590, 1017, 558, 267, 4139, 645, 1301, 534, 540, 25491, 1848, 1280, 713, 267, 646, 27424, 1524, 2051, 30592, 267, 519, 8250, 540, 15608, 590, 1017, 558, 267, 543, 26906, 1200, 547, 1451, 811, 827, 1200, 4583, 4651, 269, 3097, 6097, 547, 1010, 1382, 267, 519, 3312, 11600, 540, 519, 15483, 18571, 3769, 930, 3810, 19796, 1190, 3334, 912, 268, 4563, 2344, 717, 514, 689, 3162, 4000, 454, 268, 853, 18036, 15952, 344, 689, 519, 3703, 8136, 454, 268, 700, 830, 10260, 658, 454, 268, 13067, 17360, 3787, 1562, 267, 11751, 689, 513, 14278, 626, 2066, 519, 8265, 563, 13295, 267, 15952, 344, 729, 851, 540, 519, 3312, 11600, 267, 543, 536, 712, 2548, 729, 5189, 607, 513, 12990, 693, 513, 2663, 1448, 538, 942, 563, 305, 14554, 593, 519, 11600, 454, 4913, 267, 7137, 787, 849, 11329, 856, 602, 910, 11484, 31531, 268, 519, 15952, 344, 851, 729, 2655, 21114, 609, 536, 712, 2548, 950, 2139, 269, 590, 1017, 558, 5128, 849, 4603, 539, 609, 536, 712, 2548, 543, 3957, 519, 5137, 609, 15952, 344, 267, 717, 514, 267, 543, 25816, 2548, 519, 667, 3539, 645, 770, 731, 563, 5194, 2442, 678, 858, 689, 1864, 1256, 3773, 681, 636, 607, 513, 8772, 6891, 547, 519, 11600, 269, 901, 3810, 14984, 598, 1723, 794, 729, 3957, 513, 16458, 645, 770, 731, 563, 1692, 1281, 3004, 1457, 30647, 781, 4528, 3514, 538, 13840, 888, 763, 1101, 2854, 4704, 547, 3004, 1457, 30647, 781, 4528, 540, 519, 4235, 7389, 1394, 547, 476, 3422, 279, 269, 3571, 834, 9199, 1457, 30647, 781, 7414, 6816, 13648, 1504, 257, 8659, 513, 11600, 602, 3769, 1769, 543, 4158, 681, 636, 267, 18654, 10433, 267, 595, 3120, 9809, 7776, 267, 610, 613, 520, 21360, 267, 543, 4224, 17711, 21360, 563, 763, 11600, 689, 519, 1433, 568, 2147, 2943, 711, 3833, 519, 1482, 607, 713, 1688, 25740, 4063, 689, 513, 536, 691, 2658, 693, 519, 3004, 1457, 30647, 779, 4446, 538, 519, 6022, 1067, 5600, 538, 9628, 563, 1607, 512, 5942, 4528, 849, 11542, 856, 1317, 621, 3357, 538, 513, 15040, 544, 1872, 1572, 22206, 1359, 645, 770, 731, 630, 3697, 519, 4235, 264, 610, 631, 2967, 12872, 15608, 269, 898, 10525, 513, 1268, 7092, 689, 513, 13793, 1478, 8066, 741, 2212, 538, 1928, 563, 763, 22206, 1359, 645, 770, 731, 11600, 729, 11827, 1282, 2622, 2782, 4083, 547, 948, 10826, 519, 13793, 13569, 540, 3703, 7980, 269, 634, 4235, 729, 513, 5458, 1967, 543, 519, 1292, 2601, 590, 1017, 558, 2968, 835, 540, 519, 1034, 4583, 536, 691, 11367, 538, 519, 476, 5002, 271, 338, 563, 2005, 568, 513, 11600, 602, 3091, 1082, 7399, 585, 678, 14554, 543, 17408, 6545, 267, 519, 1034, 4583, 540, 799, 590, 1017, 558, 2919, 5128, 563, 268, 667, 3539, 645, 770, 731, 15483, 18571, 11600, 910, 589, 17705, 678, 858, 593, 519, 22206, 1359, 645, 770, 731, 454, 268, 16458, 645, 770, 731, 11600, 910, 6271, 6335, 593, 519, 5929, 11600, 676, 15608, 590, 1017, 558, 454, 268, 7009, 1145, 344, 26192, 6519, 595, 1758, 659, 910, 589, 2689, 540, 713, 2189, 7009, 1145, 344, 4082, 454, 268, 476, 272, 808, 580, 3455, 454, 268, 476, 272, 595, 1442, 18571, 1744, 6033, 454, 268, 476, 272, 8316, 25079, 853, 1778, 518, 454, 268, 476, 272, 12063, 595, 1758, 659, 454, 268, 476, 272, 12063, 16959, 717, 514, 454, 268, 476, 271, 269, 276, 12063, 700, 830, 10260, 658, 454, 268, 476, 271, 269, 276, 12063, 18610, 18654, 10433, 454, 268, 476, 273, 268, 274, 546, 10449, 4911, 739, 3120, 3787, 1562, 454, 268, 476, 274, 12063, 717, 5424, 14420, 454, 268, 476, 272, 631, 842, 838, 3419, 454, 268, 5410, 595, 1758, 659, 267, 717, 514, 267, 18654, 10260, 658, 267, 18654, 10433, 267, 543, 4911, 739, 3120, 3787, 1562, 883, 707, 15483, 18571, 695, 6033, 1927, 609, 7899, 540, 4672, 269, 272, 12063, 595, 1758, 659, 267, 476, 272, 12063, 16959, 717, 514, 267, 476, 271, 269, 276, 12063, 700, 830, 10260, 658, 267, 476, 271, 269, 276, 12063, 18610, 18654, 10433, 267, 476, 273, 268, 274, 546, 10449, 4911, 739, 3120, 3787, 1562, 454, 268, 1744, 820, 2394, 519, 4235, 568, 1134, 7302, 2683, 563, 268, 853, 1778, 883, 513, 570, 5942, 544, 1872, 610, 19811, 4837, 543, 1283, 609, 20909, 14420, 269, 274, 12063, 717, 5424, 14420, 454, 268, 717, 7568, 880, 609, 513, 838, 3419, 540, 20511, 269, 272, 631, 842, 838, 3419, 454, 32306, 513, 31400, 0, 763, 1101, 2185, 2665, 540, 1018, 1131, 2663, 581, 1572, 4049, 8650, 7929, 6794, 5829, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 264, 3968, 267, 610, 5046, 268, 866, 267, 941, 4080, 538, 18961, 7315, 267, 3624, 267, 593, 5412, 476, 4029, 267, 476, 1001, 280, 1496, 272, 267, 273, 3910, 4352, 2663, 2090, 5815, 602, 2043, 4440, 941, 7783, 4505, 267, 5310, 1256, 538, 5437, 1496, 27270, 15651, 267, 15651, 267, 18681, 267, 808, 807, 267, 9149, 543, 667, 836, 274, 1700, 27270, 8575, 276, 4940, 634, 30859, 5311, 540, 519, 3644, 729, 1500, 1857, 676, 513, 931, 24832, 540, 4457, 543, 8241, 5238, 593, 5130, 476, 1015, 267, 476, 1708, 271, 1496, 27270, 29385, 277, 3910, 9591, 519, 1757, 894, 8665, 607, 513, 11452, 609, 4719, 10486, 547, 16568, 17336, 543, 5664, 5101, 28614, 15540, 630, 300, 8991, 1040, 4014, 922, 7154, 540, 6771, 729, 15458, 267, 2038, 23278, 4973, 5359, 8612, 602, 2582, 2550, 1223, 3468, 1804, 2338, 540, 1072, 1416, 4600, 267, 9870, 519, 10171, 602, 1268, 3562, 16512, 3262, 1223, 2049, 11593, 267, 799, 729, 9672, 676, 5130, 476, 2641, 267, 476, 1708, 271, 1496, 27270, 15651, 267, 9710, 2421, 267, 15917, 6577, 543, 717, 7776, 278, 4940, 13536, 267, 621, 729, 15874, 602, 28105, 2043, 1223, 3262, 519, 3644, 547, 1804, 2338, 540, 17066, 3544, 540, 519, 1072, 1416, 4259, 1496, 27270, 18681, 267, 18961, 543, 2473, 340, 279, 4940, 634, 1101, 2475, 2013, 729, 4080, 538, 513, 2951, 518, 945, 8120, 547, 6115, 3557, 689, 18961, 7315, 593, 5130, 476, 1428, 267, 476, 1708, 271, 282, 519, 1101, 3864, 2665, 540, 5046, 268, 866, 941, 4080, 593, 5130, 476, 2190, 538, 5333, 1496, 27270, 1975, 3438, 328, 267, 12197, 532, 543, 667, 1512, 322, 651, 280, 4940, 634, 2475, 13148, 11658, 2951, 547, 519, 2136, 2276, 689, 3624, 593, 5130, 476, 1789, 543, 10294, 519, 2068, 513, 5398, 2657, 17073, 593, 5130, 476, 4029, 269, 2201, 519, 1482, 1554, 5313, 8387, 10288, 513, 476, 1691, 6377, 31741, 585, 513, 1895, 540, 476, 4198, 4961, 1065, 27074, 730, 689, 3624, 267, 855, 1705, 711, 6615, 2951, 689, 2342, 563, 17780, 593, 519, 5027, 5311, 540, 519, 3644, 513, 4874, 1337, 5832, 5114, 1449, 547, 3713, 16568, 17336, 268, 273, 10194, 5027, 729, 2919, 676, 4436, 22602, 693, 12670, 779, 4077, 527, 2946, 11233, 1496, 27270, 654, 1408, 518, 267, 1234, 343, 549, 628, 543, 20944, 1206, 577, 1779, 1015, 316, 543, 2663, 7550, 676, 519, 14959, 267, 855, 711, 676, 519, 2475, 15509, 610, 5253, 543, 10684, 10029, 630, 293, 6395, 1040, 634, 15509, 5423, 922, 1378, 1449, 855, 11402, 8101, 17799, 267, 3976, 12517, 12145, 543, 8488, 532, 4152, 538, 519, 2136, 2276, 1496, 27270, 18087, 17839, 1556, 267, 27270, 24497, 328, 267, 23634, 1228, 267, 31436, 543, 15651, 1321, 4940, 1280, 1383, 267, 519, 15509, 3896, 593, 4728, 476, 272, 8612, 621, 1223, 1685, 1152, 476, 12573, 4255, 829, 1554, 543, 602, 621, 1185, 1570, 585, 1152, 476, 4037, 267, 1822, 4255, 585, 519, 3003, 2197, 269, 769, 4334, 267, 676, 4728, 476, 1626, 267, 519, 14959, 1185, 2907, 7856, 476, 272, 269, 276, 2929, 4255, 547, 476, 6344, 2477, 1496, 27270, 1520, 7315, 558, 1724, 4940, 4578, 689, 7977, 267, 3567, 267, 3162, 9705, 267, 543, 9459, 538, 2038, 4728, 7152, 519, 11104, 3585, 4028, 3262, 540, 519, 3644, 267, 799, 16397, 2564, 6703, 543, 3454, 539, 1072, 1416, 4648, 547, 741, 7182, 269, 634, 14959, 10294, 5046, 268, 866, 513, 6855, 593, 4728, 476, 1556, 543, 602, 729, 4166, 4553, 676, 17061, 538, 1715, 3840, 267, 1715, 14948, 267, 21086, 267, 12590, 267, 543, 824, 2829, 269, 1280, 1383, 267, 593, 4728, 476, 273, 267, 519, 2475, 4080, 1175, 476, 1626, 1007, 2665, 602, 1554, 267, 855, 676, 4728, 476, 1789, 267, 621, 4080, 476, 2641, 267, 5379, 280, 1007, 2665, 563, 763, 11916, 543, 25927, 1049, 3163, 13815, 630, 290, 4811, 288, 264, 3117, 24832, 779, 15863, 454, 763, 2817, 23941, 540, 2657, 630, 25712, 295, 264, 998, 922, 2817, 4741, 585, 5917, 3496, 25927, 1049, 3163, 630, 10998, 2969, 306, 264, 7028, 5111, 476, 2568, 4081, 32387, 538, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8310, 21213, 593, 4873, 476, 278, 267, 476, 1708, 274, 676, 7200, 1047, 454, 1103, 519, 5177, 267, 972, 616, 3875, 7890, 15882, 269, 1452, 3140, 15805, 18845, 2263, 519, 18632, 2427, 540, 519, 5177, 779, 1686, 563, 7197, 941, 10736, 689, 5449, 30813, 547, 15882, 3833, 5063, 269, 3509, 2709, 11461, 19150, 563, 20524, 875, 20737, 941, 27052, 585, 741, 10963, 538, 519, 2250, 269, 670, 792, 8941, 540, 31852, 945, 941, 24407, 569, 29802, 269, 6258, 827, 519, 3232, 1272, 540, 14586, 269, 4855, 856, 1018, 789, 17696, 267, 875, 789, 27361, 543, 519, 2175, 538, 799, 789, 5030, 269, 19415, 547, 2984, 540, 875, 20737, 941, 13401, 543, 1294, 1141, 621, 5949, 563, 2026, 1134, 607, 11461, 19150, 267, 1082, 7890, 15882, 2709, 824, 2621, 971, 607, 31510, 5436, 13753, 543, 2011, 7809, 3756, 563, 5649, 593, 547, 3605, 519, 1283, 7890, 15882, 538, 4789, 267, 10430, 267, 12986, 543, 8832, 6816, 563, 8368, 540, 12937, 454, 763, 1101, 7890, 2679, 593, 519, 3135, 538, 1744, 4319, 338, 12064, 729, 8118, 547, 14586, 538, 476, 9692, 274, 269, 1703, 941, 476, 14225, 2281, 630, 9692, 585, 2367, 543, 476, 1839, 585, 2021, 1040, 3509, 1857, 4291, 1903, 3576, 1747, 1934, 563, 763, 1101, 11056, 693, 519, 1007, 32364, 565, 3576, 1747, 593, 14349, 267, 519, 476, 1428, 628, 540, 4864, 476, 9692, 276, 267, 950, 3627, 8055, 267, 9907, 476, 1839, 267, 729, 554, 6548, 585, 27560, 476, 1015, 10412, 1688, 12027, 2151, 12028, 538, 519, 6300, 540, 3627, 3687, 518, 269, 634, 2063, 1857, 16304, 729, 540, 476, 1789, 1032, 2025, 11977, 23101, 945, 729, 13401, 585, 12638, 538, 476, 5908, 274, 269, 3245, 476, 5002, 273, 543, 547, 476, 3422, 272, 267, 972, 941, 476, 279, 4291, 1903, 602, 3576, 1747, 3330, 519, 7890, 563, 763, 7890, 1869, 7555, 24428, 476, 20065, 2367, 543, 476, 2420, 2021, 2066, 1079, 12209, 269, 634, 2063, 14586, 7477, 730, 519, 7890, 538, 476, 1001, 274, 454, 9213, 596, 666, 7832, 593, 513, 11461, 4663, 609, 513, 5449, 7890, 11464, 269, 670, 792, 8941, 540, 519, 10963, 8149, 676, 519, 31852, 543, 3232, 1272, 3330, 519, 7890, 563, 8450, 519, 4393, 2127, 1141, 14586, 8452, 267, 1900, 883, 519, 3635, 13452, 543, 1995, 519, 11056, 4055, 563, 9349, 2659, 16731, 2228, 693, 1744, 4319, 338, 12064, 29277, 563, 289, 617, 2381, 808, 841, 267, 12397, 13665, 454, 289, 617, 2381, 808, 841, 9980, 8896, 269, 16514, 676, 19279, 21025, 1716, 534, 267, 674, 5585, 337, 11300, 12780, 454, 289, 617, 2381, 808, 841, 729, 3710, 538, 476, 10082, 280, 269, 634, 1686, 540, 519, 7890, 568, 27615, 13135, 267, 13327, 4370, 936, 476, 4649, 1857, 13793, 902, 267, 476, 279, 540, 873, 2021, 585, 10963, 799, 3769, 12638, 267, 22149, 543, 27560, 563, 2005, 729, 519, 1101, 7890, 547, 3180, 14586, 538, 1367, 2281, 269, 634, 2063, 5256, 26956, 2451, 519, 7890, 538, 476, 4489, 277, 543, 621, 729, 13166, 6806, 538, 476, 4572, 278, 563, 289, 617, 2381, 808, 841, 814, 22734, 513, 2101, 1201, 7875, 7321, 609, 851, 540, 621, 1373, 5828, 883, 513, 15678, 269, 1403, 596, 4076, 10272, 538, 519, 2250, 267, 621, 949, 581, 942, 547, 979, 1394, 563, 288, 3643, 547, 519, 16007, 16621, 519, 2048, 291, 1046, 12532, 685, 1995, 609, 26974, 3740, 2360, 602, 1450, 8436, 547, 23365, 2933, 538, 519, 1272, 1299, 2669, 1369, 519, 7890, 6821, 269, 898, 779, 19150, 616, 1152, 5078, 585, 3214, 9907, 476, 279, 543, 1657, 1813, 547, 519, 1989, 574, 2984, 543, 9670, 10978, 21089, 563, 20124, 676, 844, 529, 2617, 639, 1315, 674, 5585, 337, 11300, 12780, 454, 10908, 537, 31569, 29277, 8118, 538, 476, 9692, 272, 563, 2005, 814, 513, 4241, 952, 27615, 13135, 1686, 267, 936, 476, 11277, 1004, 941, 13401, 972, 563, 1103, 519, 2413, 5736, 267, 670, 6573, 3794, 537, 31569, 729, 9286, 607, 513, 21145, 645, 2937, 5256, 2199, 7890, 543, 1762, 25476, 9872, 269, 898, 729, 5497, 547, 3180, 5631, 1346, 593, 1121, 663, 610, 9241, 30992, 543, 7996, 547, 581, 2366, 547, 1776, 7890, 563, 2005, 729, 6806, 538, 476, 1001, 274, 1813, 547, 32036, 3429, 563, 288, 11461, 4663, 568, 3810, 5227, 269, 6258, 827, 519, 3232, 1272, 540, 519, 14586, 543, 581, 5483, 827, 519, 2930, 3344, 540, 16304, 269, 30421, 13135, 8631, 269, 1703, 616, 476, 274, 3232, 4663, 2053, 269, 634, 476, 276, 269, 1789, 10975, 4663, 3884, 1406, 5227, 585, 3214, 896, 476, 1691, 267, 865, 1118, 2386, 596, 3442, 519, 1318, 835, 563, 9213, 972, 616, 1082, 824, 2834, 2621, 602, 596, 666, 979, 547, 972, 269, 1358, 1331, 513, 31510, 5436, 7634, 609, 20807, 539, 4755, 902, 2680, 543, 2011, 7809, 3756, 2336, 8340, 856, 811, 693, 3794, 537, 31569, 29277, 454, 23682, 5112, 16836, 543, 29277, 454, 23682, 5112, 16836, 543, 29277, 568, 936, 476, 1911, 271, 1296, 2025, 269, 898, 729, 3710, 1310, 519, 22374, 12289, 538, 476, 11793, 277, 676, 22374, 3046, 517, 7917, 744, 685, 291, 1195, 569, 563, 7021, 942, 519, 16836, 9927, 689, 14500, 547, 513, 7890, 269, 898, 6806, 922, 9885, 547, 14586, 538, 476, 1960, 277, 543, 568, 1631, 513, 15805, 16007, 563, 2414, 1205, 519, 1655, 856, 540, 513, 3643, 547, 10228, 14500, 543, 7890, 267, 1433, 513, 11461, 4663, 269, 589, 1942, 25390, 3391, 2982, 596, 1472, 519, 7890, 563, 8450, 519, 26956, 2281, 267, 5873, 8941, 540, 519, 14586, 543, 3605, 875, 513, 7890, 5249, 585, 1453, 538, 676, 19079, 2053, 563, 5319, 2809, 519, 26497, 540, 519, 476, 1911, 25047, 18214, 909, 513, 23090, 25047, 13826, 547, 519, 1283, 540, 519, 13486, 267, 1141, 519, 5784, 616, 5140, 563, 5327, 25728, 11895, 883, 519, 476, 12010, 4458, 6040, 6939, 267, 519, 1152, 17005, 3788, 540, 853, 269, 6723, 779, 30989, 563, 9515, 17980, 5689, 2280, 29277, 267, 590, 12002, 564, 454, 20124, 15894, 281, 14339, 342, 454, 9515, 17980, 5689, 2280, 29277, 729, 3710, 538, 476, 14341, 276, 543, 6806, 538, 476, 1001, 274, 269, 769, 519, 2038, 1296, 267, 7890, 2175, 941, 1989, 574, 269, 9093, 267, 2021, 543, 1453, 941, 24428, 1927, 269, 1358, 14201, 1406, 9674, 676, 3978, 1145, 540, 741, 6760, 269, 12821, 565, 619, 14201, 1406, 6976, 269, 1358, 12236, 2724, 3257, 1919, 899, 9513, 4568, 547, 31852, 269, 8871, 4593, 6681, 543, 1743, 684, 5287, 7180, 941, 1455, 269, 4934, 3691, 6545, 540, 3676, 543, 8611, 7018, 5781, 563, 763, 16972, 5736, 3366, 547, 1114, 2010, 540, 10751, 971, 607, 2182, 11668, 543, 19459, 543, 3623, 9760, 14586, 269, 18599, 4291, 1903, 3576, 1747, 1934, 1063, 476, 6642, 280, 543, 476, 4572, 277, 269, 634, 4703, 941, 12617, 538, 519, 7890, 12406, 1141, 789, 2611, 2221, 563, 1103, 2622, 2782, 476, 273, 519, 7890, 2968, 513, 3703, 13639, 29277, 543, 729, 1287, 3144, 936, 676, 519, 2475, 7952, 269, 25569, 338, 540, 2475, 1425, 545, 18779, 941, 29802, 1934, 269, 476, 1240, 2475, 7980, 941, 7166, 2901, 676, 20590, 27805, 610, 16304, 1282, 713, 942, 563, 5475, 519, 2112, 267, 519, 7890, 835, 1586, 4371, 21127, 269, 2311, 835, 942, 519, 918, 7590, 941, 4371, 1934, 269, 898, 6368, 6806, 922, 9885, 593, 476, 1240, 628, 4728, 476, 1001, 274, 563, 9213, 519, 7890, 568, 513, 3140, 15805, 16007, 269, 6875, 513, 11461, 4663, 609, 513, 18164, 3391, 269, 2107, 6108, 513, 3781, 3297, 13063, 269, 1703, 568, 606, 4316, 547, 6108, 476, 1321, 3108, 538, 513, 1591, 540, 707, 1378, 256, 1403, 596, 2461, 5461, 538, 31510, 5436, 2534, 267, 2701, 17980, 5689, 2280, 568, 1767, 547, 581, 20807, 539, 543, 1776, 2680, 602, 3217, 1747, 1934, 616, 31510, 5436, 13753, 563, 5141, 1074, 29277, 7467, 454, 20124, 15894, 281, 715, 932, 611, 19213, 454, 763, 1849, 1074, 29277, 7389, 1394, 547, 476, 14625, 275, 1818, 621, 835, 540, 4789, 779, 9510, 543, 1034, 29200, 30813, 269, 898, 4371, 14586, 585, 936, 476, 4335, 1296, 269, 769, 476, 9965, 271, 621, 729, 14616, 1524, 538, 513, 678, 3999, 543, 729, 2760, 32206, 563, 763, 9754, 2221, 568, 3710, 593, 519, 3312, 3135, 269, 3807, 835, 3774, 3788, 689, 519, 3312, 7890, 563, 763, 9754, 568, 593, 519, 575, 800, 2427, 543, 568, 513, 1390, 1259, 547, 3142, 1686, 547, 1272, 563, 8450, 519, 25711, 3457, 543, 1224, 519, 1344, 12545, 609, 811, 538, 3829, 3877, 269, 7348, 15456, 818, 974, 30440, 267, 1995, 519, 24738, 267, 4992, 543, 24462, 540, 519, 7890, 543, 5873, 2984, 540, 8731, 618, 543, 3765, 325, 28232, 540, 519, 31852, 563, 2005, 568, 513, 2656, 16007, 547, 3643, 269, 14190, 693, 2547, 606, 5662, 267, 855, 596, 1522, 1205, 1472, 1256, 18334, 563, 8340, 856, 811, 693, 519, 1849, 1074, 7467, 29277, 563, 291, 691, 332, 3233, 29277, 7467, 454, 291, 691, 332, 3233, 29277, 814, 1044, 513, 7890, 585, 936, 476, 1220, 1296, 563, 2005, 814, 513, 4241, 1686, 269, 898, 779, 1101, 14586, 538, 476, 5197, 280, 941, 14586, 540, 2112, 689, 519, 16486, 4577, 2782, 563, 1103, 16972, 2053, 267, 621, 24428, 20737, 540, 930, 540, 519, 10782, 10963, 563, 3080, 540, 519, 1034, 4583, 14586, 693, 667, 691, 332, 3233, 729, 7671, 27508, 630, 1492, 2048, 32743, 16547, 17507, 685, 1040, 1261, 23012, 855, 729, 2760, 973, 2194, 3293, 269, 898, 2063, 1098, 18944, 646, 729, 23689, 676, 519, 918, 7590, 563, 9213, 667, 691, 332, 3233, 568, 1869, 513, 7890, 269, 898, 6585, 1970, 7121, 14586, 945, 2661, 538, 2582, 2281, 269, 634, 2832, 568, 547, 6963, 519, 14586, 543, 789, 616, 9415, 547, 979, 593, 2866, 6030, 547, 948, 873, 593, 5305, 563, 763, 9754, 3294, 568, 1507, 855, 14095, 609, 1134, 26940, 15225, 543, 1344, 269, 1677, 1205, 519, 1034, 856, 540, 707, 3643, 2542, 519, 1344, 568, 2838, 269, 1703, 616, 930, 4241, 1919, 547, 1294, 1519, 26956, 733, 4599, 663, 543, 9604, 563, 288, 3643, 1058, 1491, 827, 606, 5662, 269, 634, 1699, 13675, 13927, 540, 1175, 11278, 275, 568, 1390, 1871, 585, 2724, 269, 6744, 519, 3896, 547, 1294, 10311, 593, 875, 1454, 519, 16007, 3790, 563, 20124, 15894, 281, 1306, 9618, 802, 327, 17415, 454, 299, 4545, 2120, 16836, 7389, 1394, 547, 4936, 2053, 543, 814, 6039, 1082, 3252, 269, 898, 729, 8385, 513, 10120, 28183, 855, 936, 519, 1296, 519, 14500, 814, 849, 20888, 3875, 9576, 8436, 543, 6039, 607, 513, 13398, 540, 5126, 609, 5480, 7741, 267, 546, 25128, 976, 543, 513, 7890, 563, 763, 14500, 814, 1044, 513, 7890, 538, 835, 4390, 610, 1776, 689, 519, 476, 1321, 628, 2540, 2394, 476, 2641, 560, 11416, 269, 670, 6573, 19903, 2120, 267, 513, 21145, 595, 7890, 729, 10512, 1318, 909, 2394, 4728, 476, 1001, 272, 563, 14106, 6002, 666, 2263, 519, 14500, 779, 3573, 12406, 543, 3643, 519, 5449, 7890, 2281, 269, 898, 779, 4502, 2921, 513, 11461, 4663, 547, 1118, 519, 1034, 540, 707, 3643, 269, 2871, 3660, 19150, 540, 519, 16836, 1331, 11564, 547, 922, 476, 1240, 628, 2540, 2281, 267, 19999, 517, 6807, 16654, 5256, 4050, 527, 550, 10706, 267, 6131, 7963, 832, 685, 7890, 1858, 543, 4775, 4050, 527, 550, 10706, 454, 763, 14500, 543, 7890, 814, 513, 1989, 574, 855, 4241, 1686, 269, 2290, 8037, 2460, 568, 19903, 2120, 16836, 779, 7681, 609, 519, 25337, 623, 754, 548, 654, 3558, 2558, 10118, 540, 476, 14065, 273, 269, 634, 8062, 3238, 519, 20655, 543, 11056, 540, 1896, 2043, 15034, 540, 31783, 538, 519, 7404, 623, 754, 548, 10830, 1858, 269, 634, 15034, 941, 4371, 538, 19903, 2120, 16836, 1354, 543, 1282, 741, 8062, 267, 543, 4557, 540, 873, 941, 6038, 1336, 16944, 543, 30992, 547, 2669, 563, 2005, 729, 849, 519, 1101, 7890, 547, 5302, 26021, 31852, 676, 2085, 543, 4008, 563, 4263, 519, 942, 540, 1603, 630, 9802, 476, 1708, 274, 264, 851, 540, 519, 14500, 568, 6806, 547, 8436, 1813, 547, 21130, 513, 3595, 15372, 1062, 269, 1717, 267, 17290, 19150, 267, 9434, 476, 1789, 3764, 267, 1491, 1747, 2429, 519, 1554, 855, 1152, 3382, 519, 5007, 1330, 1399, 1841, 543, 835, 540, 519, 7890, 5656, 563, 8340, 856, 811, 693, 19903, 2120, 16836, 563, 1103, 591, 541, 599, 808, 841, 267, 14803, 1803, 267, 10430, 454, 20124, 15894, 281, 17363, 8738, 23025, 454, 288, 3643, 547, 769, 591, 599, 808, 841, 568, 513, 1390, 1920, 1554, 856, 269, 634, 2679, 8075, 1312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9288, 22817, 2353, 1195, 532, 281, 589, 23397, 26435, 547, 16522, 1127, 1125, 3267, 2073, 2904, 476, 1789, 267, 476, 1001, 280, 3267, 3267, 5762, 1005, 267, 543, 17370, 601, 3429, 540, 8869, 5536, 538, 513, 1164, 20589, 3440, 1984, 269, 3267, 3114, 6547, 723, 849, 1044, 1336, 547, 2049, 3056, 547, 519, 2504, 540, 3267, 1452, 19535, 2326, 1223, 581, 1031, 607, 21187, 547, 4412, 749, 1218, 267, 4429, 3682, 6883, 519, 6356, 540, 4400, 6052, 11831, 631, 3739, 593, 519, 12856, 3267, 2073, 9484, 476, 1691, 267, 476, 1001, 277, 3267, 4400, 1648, 19236, 3440, 17819, 540, 9149, 301, 328, 272, 270, 274, 300, 333, 272, 270, 274, 10870, 272, 270, 274, 302, 273, 630, 301, 10157, 264, 30932, 2326, 729, 3267, 19672, 540, 519, 19650, 21753, 5650, 543, 11777, 1591, 3267, 12186, 540, 15316, 18430, 633, 5410, 1438, 543, 12443, 1337, 645, 5407, 12937, 4429, 31088, 30352, 26659, 540, 8125, 3821, 9995, 15089, 641, 14895, 3267, 2073, 8125, 3821, 5070, 20543, 723, 9863, 547, 581, 513, 1360, 2500, 19605, 547, 3267, 14451, 17819, 3432, 2488, 2362, 1764, 1648, 25116, 676, 519, 8860, 11084, 5196, 3267, 11831, 17819, 568, 513, 1505, 585, 5386, 8869, 8860, 543, 21753, 540, 1016, 32342, 610, 4429, 11947, 268, 21328, 11831, 631, 3739, 910, 476, 272, 560, 9990, 910, 29021, 2073, 4400, 268, 21328, 11831, 631, 3739, 910, 476, 272, 560, 9990, 910, 9768, 281, 476, 7818, 7277, 6321, 280, 276, 4029, 277, 267, 476, 7818, 7277, 6321, 280, 280, 4510, 275, 3267, 540, 1950, 17375, 27911, 267, 2504, 540, 954, 5471, 28351, 7623, 32340, 267, 4429, 293, 5419, 566, 543, 5811, 540, 11709, 18123, 15369, 19045, 18120, 10249, 3267, 2073, 3967, 476, 1839, 267, 476, 1001, 279, 3267, 609, 1164, 2298, 10858, 547, 20793, 300, 19605, 5663, 476, 1547, 769, 713, 3267, 1648, 19236, 3440, 1984, 3684, 676, 7344, 11544, 1505, 563, 301, 534, 24899, 22683, 5687, 924, 32340, 609, 4824, 3267, 910, 13013, 2316, 14371, 10976, 2073, 4119, 476, 278, 267, 476, 1001, 278, 3267, 19605, 5663, 610, 824, 28051, 4066, 269, 3267, 5637, 17819, 3268, 941, 5340, 538, 513, 681, 1115, 577, 476, 6110, 6751, 19236, 1984, 267, 1210, 563, 14813, 26475, 540, 519, 7621, 728, 543, 6599, 12935, 17183, 23771, 593, 18001, 3267, 2073, 4455, 476, 2641, 267, 476, 1001, 280, 3267, 27511, 281, 1164, 20589, 17819, 267, 1325, 2861, 12432, 267, 1184, 1852, 3267, 898, 568, 849, 15458, 1018, 5214, 19605, 568, 519, 1655, 585, 1142, 1570, 269, 3267, 634, 6404, 8869, 729, 1984, 539, 693, 4055, 2837, 538, 513, 17240, 591, 529, 8291, 476, 276, 1164, 20589, 3440, 2173, 650, 693, 3267, 10127, 628, 1731, 717, 1421, 7754, 1731, 541, 590, 1421, 10548, 717, 12282, 1421, 918, 2714, 3385, 681, 2529, 269, 5410, 1438, 5663, 4429, 10048, 3011, 1005, 24519, 13355, 32340, 1210, 6070, 268, 543, 4006, 3267, 2073, 19007, 30594, 4149, 1242, 18120, 10249, 1210, 17865, 268, 543, 17491, 5025, 1087, 13554, 631, 3739, 3267, 15089, 617, 3554, 1180, 814, 1044, 1984, 539, 538, 513, 1164, 1648, 3440, 1984, 609, 7319, 13427, 543, 5924, 9770, 3267, 4813, 1637, 4162, 630, 5417, 14476, 267, 23541, 267, 5663, 6724, 1916, 300, 8042, 15089, 558, 1468, 807, 590, 4877, 6993, 269, 1923, 15096, 2752, 4785, 2073, 631, 8042, 723, 2919, 606, 2189, 14251, 908, 1164, 1648, 3440, 17819, 3267, 543, 4874, 1337, 32340, 585, 1164, 6571, 19605, 5663, 267, 12249, 1759, 23212, 4429, 303, 3174, 540, 6289, 665, 31051, 710, 32340, 676, 1164, 20589, 3440, 3267, 2073, 17593, 269, 589, 2203, 540, 1164, 20589, 3440, 17819, 540, 32340, 814, 1044, 6069, 269, 3267, 13365, 547, 1711, 606, 4244, 3049, 18450, 8869, 585, 4496, 19605, 5663, 563, 11947, 6052, 11831, 24759, 5502, 540, 4643, 8767, 11831, 24759, 910, 589, 313, 334, 300, 2073, 4924, 476, 2918, 267, 476, 1001, 279, 3267, 1677, 2709, 513, 3070, 267, 11555, 4811, 6224, 2919, 519, 4400, 6052, 11831, 7085, 2506, 1314, 1107, 799, 568, 2111, 3267, 634, 2506, 1314, 568, 606, 7357, 1007, 1826, 540, 3440, 1984, 585, 1164, 1648, 17819, 269, 3267, 1362, 1587, 2298, 7064, 547, 4359, 5663, 2409, 282, 18043, 3267, 13268, 532, 25674, 540, 19045, 18120, 10249, 538, 5410, 1438, 19007, 563, 301, 534, 6248, 23621, 290, 18674, 1325, 31333, 1015, 300, 326, 6289, 24899, 1842, 2572, 3267, 2073, 9947, 476, 277, 267, 476, 1001, 275, 3267, 3267, 5423, 676, 1164, 20589, 3440, 17819, 540, 30562, 2678, 27214, 4705, 1325, 31333, 1015, 300, 326, 3267, 2871, 267, 30250, 267, 2725, 29794, 267, 654, 267, 654, 1170, 523, 22138, 267, 918, 269, 21558, 19605, 5663, 540, 4429, 307, 11939, 807, 268, 631, 3739, 1299, 10241, 910, 818, 311, 643, 2073, 2518, 23621, 302, 273, 20119, 2504, 1547, 28522, 618, 23621, 302, 273, 3267, 24489, 543, 7484, 878, 12547, 616, 2964, 1227, 1984, 539, 538, 513, 19236, 3440, 1984, 269, 32255, 5374, 3267, 5384, 267, 19760, 274, 5410, 1438, 543, 14732, 2718, 18323, 593, 8447, 16544, 540, 3525, 1881, 269, 20497, 4429, 30761, 17819, 1184, 547, 3132, 4487, 321, 520, 2583, 540, 840, 3267, 910, 661, 13048, 301, 2073, 7170, 2433, 11831, 17819, 1184, 547, 3132, 4487, 321, 520, 2583, 540, 840, 1673, 7371, 619, 539, 3267, 26119, 585, 519, 2504, 540, 6289, 2684, 1078, 2326, 3812, 676, 1164, 1648, 3440, 17819, 269, 3267, 4874, 1337, 32340, 585, 1164, 6571, 19605, 5663, 267, 12249, 1759, 4429, 30761, 1984, 910, 9504, 2073, 589, 3440, 1984, 568, 513, 1826, 540, 32291, 1031, 547, 20836, 267, 11100, 543, 3006, 585, 11544, 540, 2326, 585, 946, 3267, 3958, 267, 3440, 17819, 814, 1044, 3254, 2500, 585, 2504, 540, 993, 6973, 748, 2326, 269, 3267, 589, 19236, 3440, 1984, 5161, 540, 693, 2547, 835, 8860, 20220, 799, 568, 11231, 552, 764, 550, 29182, 593, 513, 865, 10777, 3141, 8868, 269, 634, 4287, 540, 4429, 13051, 577, 5440, 4400, 6052, 26432, 4643, 8767, 11831, 7085, 1700, 9049, 292, 3267, 2073, 901, 476, 271, 269, 275, 299, 19236, 3440, 1984, 3684, 2934, 513, 11741, 1374, 602, 13352, 538, 513, 1350, 913, 3267, 543, 17819, 1331, 23907, 267, 32314, 8407, 585, 19605, 5663, 267, 4429, 14683, 20589, 3440, 17819, 2073, 717, 2224, 341, 589, 269, 594, 1421, 918, 14766, 990, 589, 269, 590, 269, 13870, 540, 6289, 665, 31051, 710, 32340, 676, 1164, 20589, 3440, 17819, 281, 2203, 543, 4603, 12262, 15089, 12771, 269, 476, 1220, 279, 269, 966, 269, 476, 866, 267, 21508, 500, 2918, 269, 7433, 476, 25228, 4429, 306, 11853, 543, 1915, 5314, 540, 4359, 3440, 2173, 2683, 1325, 3267, 2073, 4400, 20589, 3440, 2173, 3739, 6964, 547, 13754, 1047, 1325, 25575, 273, 302, 274, 6289, 10687, 22683, 3267, 630, 290, 10998, 264, 20619, 267, 19605, 4494, 5663, 630, 3201, 300, 264, 814, 1831, 835, 540, 519, 1034, 4429, 288, 2689, 540, 1071, 2173, 3739, 2553, 585, 519, 2504, 540, 1164, 3267, 2073, 634, 2333, 538, 2627, 1648, 609, 519, 3267, 901, 20159, 666, 581, 7753, 676, 1071, 2173, 3739, 16286, 609, 519, 19605, 3267, 3213, 2173, 650, 676, 15191, 610, 3440, 1984, 1267, 538, 519, 2504, 540, 12432, 4429, 7495, 306, 910, 654, 309, 308, 3194, 3115, 12141, 910, 4639, 9098, 2160, 2073, 8869, 5536, 585, 19045, 5410, 1438, 19007, 630, 4456, 1040, 10241, 3267, 20996, 2353, 1195, 532, 630, 7246, 264, 676, 19236, 3440, 17819, 630, 13696, 264, 786, 581, 8045, 547, 3132, 563, 305, 7894, 300, 318, 26261, 318, 8649, 2105, 318, 663, 6958, 1400, 318, 25405, 1408, 318, 303, 578, 749, 630, 272, 264, 2073, 26395, 312, 310, 3036, 9169, 281, 8081, 23113, 267, 19045, 5410, 1438, 19007, 267, 11831, 631, 3739, 267, 2701, 541, 3267, 3157, 267, 971, 607, 9859, 1648, 18254, 267, 666, 1152, 16005, 1570, 593, 4540, 7252, 538, 3267, 4154, 267, 8988, 610, 31091, 968, 342, 4292, 892, 568, 3648, 2362, 563, 30761, 17819, 281, 513, 3039, 2029, 585, 519, 7041, 543, 3267, 2073, 3967, 476, 280, 267, 476, 1001, 280, 3267, 7053, 267, 538, 513, 19236, 1984, 519, 8043, 616, 5116, 593, 513, 15914, 3267, 634, 5663, 543, 6198, 1436, 540, 27794, 6289, 665, 15009, 1023, 676, 3440, 17819, 3267, 8426, 21695, 607, 513, 12655, 12443, 1067, 5410, 1438, 267, 10049, 267, 476, 1001, 279, 267, 476, 1556, 263, 278, 1070, 476, 10755, 278, 4429, 23322, 5314, 543, 17819, 942, 5688, 5314, 540, 3267, 2073, 2904, 476, 1691, 267, 476, 1001, 277, 3267, 540, 1164, 20589, 3440, 2173, 2683, 6289, 665, 31051, 710, 26459, 4073, 268, 546, 619, 543, 547, 3267, 19605, 4494, 5663, 630, 3201, 300, 264, 2029, 2488, 606, 7471, 4429, 11947, 6052, 11831, 7085, 2506, 1314, 910, 681, 1115, 577, 910, 589, 313, 334, 300, 2073, 634, 4400, 6052, 11831, 7085, 2506, 1314, 568, 606, 7357, 1007, 1826, 540, 8047, 3440, 1984, 267, 2523, 3267, 634, 3440, 1984, 10905, 1164, 11508, 543, 1764, 2164, 538, 5393, 5386, 5536, 1369, 3267, 13268, 532, 25674, 540, 19045, 18120, 10249, 538, 5410, 1438, 19007, 563, 22546, 540, 11831, 631, 3739, 30352, 593, 519, 4676, 710, 618, 540, 3267, 2073, 634, 1164, 20589, 3440, 17819, 1505, 729, 7550, 547, 2263, 519, 3310, 540, 3440, 17819, 6724, 267, 971, 607, 17819, 3432, 543, 19605, 5666, 540, 1184, 4429, 18128, 1828, 540, 15089, 665, 31051, 710, 23113, 4635, 4400, 6052, 3267, 2073, 4400, 1648, 3440, 17819, 540, 1079, 3355, 844, 15715, 776, 543, 9352, 8869, 23399, 540, 27002, 272, 269, 4037, 301, 321, 271, 269, 10219, 290, 271, 269, 10219, 301, 328, 543, 27002, 273, 301, 328, 814, 1044, 3267, 21915, 4480, 585, 519, 2504, 540, 6289, 665, 31051, 710, 635, 268, 3267, 568, 547, 8495, 519, 1198, 540, 715, 321, 543, 595, 19605, 593, 519, 563, 4252, 17819, 1184, 281, 11762, 676, 3163, 10993, 2073, 4643, 8767, 3440, 14200, 616, 1134, 1634, 543, 1031, 585, 9325, 2450, 5786, 593, 3267, 21753, 676, 1210, 519, 3819, 8860, 1184, 609, 513, 1164, 18286, 19236, 3440, 1984, 3267, 634, 2164, 4951, 602, 3171, 19053, 333, 536, 574, 13926, 729, 519, 1034, 3608, 19605, 267, 609, 476, 7176, 260, 540, 4429, 11754, 1438, 19007, 1299, 476, 274, 291, 24614, 22948, 1923, 23817, 5410, 1438, 2073, 6258, 827, 19605, 5663, 3157, 267, 971, 607, 8869, 5127, 12760, 267, 3267, 513, 1164, 27703, 6475, 11237, 602, 12958, 519, 1648, 2877, 585, 1164, 13621, 4429, 268, 3937, 4154, 7626, 1164, 4398, 3440, 8860, 1984, 454, 268, 1164, 3432, 8860, 3684, 2413, 3684, 454, 268, 1164, 4398, 3021, 1807, 585, 1570, 3440, 11465, 454, 268, 1164, 2773, 10265, 8302, 3684, 10265, 8302, 3902, 454, 268, 1164, 2298, 5374, 1793, 698, 12285, 561, 10719, 585, 3819, 3440, 1984, 454, 268, 1764, 8302, 609, 1164, 4390, 19580, 1163, 7163, 454, 268, 8302, 585, 1164, 7509, 2326, 476, 273, 971, 607, 5755, 14228, 826, 454, 268, 19580, 10672, 1164, 2298, 782, 12320, 658, 4154, 694, 11985, 454, 268, 1164, 23513, 5235, 4187, 31954, 9584, 3684, 454, 268, 1164, 2604, 32291, 586, 326, 332, 3126, 3684, 454, 268, 1164, 2298, 17200, 8302, 585, 6149, 454, 268, 3937, 1164, 4908, 5496, 2694, 538, 23920, 536, 691, 515, 548, 3240, 454, 268, 1164, 4398, 24492, 1826, 3440, 1984, 585, 9042, 454, 268, 1164, 669, 4435, 3440, 1984, 5641, 5374, 2923, 3440, 454, 268, 1164, 2298, 1031, 4224, 5070, 8302, 454, 268, 1164, 1379, 4718, 1729, 1054, 5951, 795, 580, 454, 268, 10265, 8302, 1164, 3608, 29656, 1764, 8302, 3684, 454, 268, 5985, 8302, 1463, 9042, 7510, 5614, 8302, 1164, 1648, 3684, 454, 268, 2361, 5070, 1025, 8463, 3684, 1164, 2029, 454, 268, 1164, 2298, 14919, 11493, 2030, 454, 268, 669, 4545, 611, 2803, 911, 2643, 528, 476, 2568, 476, 13647, 8038, 656, 2967, 454, 268, 14680, 986, 2096, 1180, 1984, 986, 2096, 1180, 16945, 1984, 585, 14680, 454, 268, 3937, 562, 2424, 540, 10265, 5880, 3062, 2424, 540, 11425, 1984, 454, 268, 1031, 5985, 5070, 11067, 3684, 538, 669, 850, 454, 268, 10530, 21247, 5070, 27414, 14941, 3819, 518, 585, 5070, 454, 268, 16945, 17819, 6676, 454, 268, 6149, 11493, 2030, 20834, 454, 268, 1661, 22462, 4401, 7626, 16005, 454, 268, 3172, 525, 924, 7626, 1031, 5985, 8302, 3902, 454, 268, 18711, 10265, 6676, 540, 10265, 8302, 1141, 621, 729, 1031, 4922, 454, 268, 1930, 8486, 8302, 2030, 1930, 8486, 4393, 1899, 5599, 16491, 906, 454, 268, 6886, 575, 9529, 543, 7626, 538, 519, 15599, 2089, 1149, 454, 268, 642, 760, 16347, 5102, 591, 6500, 3684, 454, 268, 4390, 540, 31954, 3440, 1984, 454, 268, 945, 30141, 13409, 8302, 454, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 1034, 1455, 12003, 15839, 568, 17031, 609, 513, 11329, 1283, 269, 898, 2488, 513, 16517, 9096, 563, 295, 4772, 20398, 268, 9827, 1634, 607, 13570, 610, 10408, 20398, 269, 4591, 869, 20398, 568, 513, 1769, 27954, 15839, 609, 19659, 538, 519, 4099, 602, 616, 2966, 547, 581, 4904, 609, 9160, 610, 10036, 269, 9603, 547, 741, 1769, 27954, 2470, 267, 789, 723, 513, 2656, 1628, 942, 1818, 873, 606, 3608, 4070, 1570, 269, 1358, 616, 1031, 538, 519, 2679, 540, 15652, 6821, 563, 303, 3058, 20398, 268, 732, 513, 4396, 15839, 267, 3006, 1500, 609, 1507, 19659, 998, 519, 4099, 269, 1358, 616, 3622, 1500, 689, 10036, 543, 616, 1034, 4122, 1031, 585, 9205, 11444, 9706, 1511, 906, 269, 2052, 849, 2097, 538, 1585, 15437, 689, 2699, 3766, 9445, 4470, 593, 1374, 4170, 563, 8110, 1721, 730, 20398, 268, 4322, 1769, 27954, 20398, 723, 20425, 9475, 998, 519, 4099, 269, 1358, 616, 1031, 547, 1118, 811, 1769, 27954, 3889, 543, 2709, 10257, 13471, 563, 4692, 594, 1265, 20398, 593, 5682, 295, 1343, 888, 2026, 5892, 5018, 267, 20398, 616, 835, 540, 519, 1034, 1455, 4070, 2326, 269, 1403, 596, 723, 1175, 6192, 519, 23542, 819, 540, 513, 3959, 543, 596, 723, 513, 22753, 540, 31629, 20398, 267, 14202, 873, 547, 519, 5682, 295, 1343, 3760, 543, 1294, 945, 3116, 1522, 1616, 873, 269, 645, 9581, 616, 513, 6691, 762, 1570, 563, 22818, 596, 616, 827, 547, 1376, 593, 513, 1007, 4070, 1788, 267, 543, 596, 991, 930, 6849, 20398, 269, 1703, 616, 930, 7996, 547, 581, 6394, 593, 519, 5682, 295, 1343, 3760, 1318, 1631, 256, 15439, 1246, 713, 3095, 281, 4179, 2517, 4178, 3052, 2240, 327, 1343, 14492, 28898, 270, 4289, 532, 8276, 17467, 270, 18586, 7146, 24683, 565, 819, 2173, 17467, 270, 935, 4740, 1532, 9581, 7146, 268, 1278, 2173, 21863, 11486, 9581, 7146, 15918, 4169, 21669, 14094, 3887, 854, 1485, 268, 1263, 720, 268, 6110, 1532, 9581, 270, 6872, 325, 4281, 9536, 280, 325, 271, 4391, 275, 325, 4905, 270, 0, 4692, 513, 1153, 20818, 513, 7833, 3609, 602, 1281, 711, 1491, 883, 2272, 513, 2875, 779, 3909, 610, 2686, 4978, 543, 2853, 286, 901, 3390, 568, 1373, 2808, 676, 519, 16972, 6406, 543, 8556, 13577, 17650, 26915, 630, 31357, 2969, 1916, 306, 698, 31938, 788, 19453, 1488, 7702, 267, 593, 15773, 540, 1010, 2947, 4458, 6040, 5067, 28788, 327, 752, 19453, 1488, 7702, 267, 568, 4101, 9253, 2023, 4168, 5441, 779, 3375, 711, 547, 679, 1503, 1010, 5067, 8259, 646, 23216, 711, 547, 5957, 1010, 1273, 6390, 267, 513, 27566, 2212, 8720, 563, 25594, 2542, 968, 309, 1112, 18319, 281, 3427, 779, 2048, 339, 18076, 7333, 685, 10525, 1455, 3765, 24483, 540, 7862, 7536, 2304, 4998, 3992, 1544, 593, 31881, 11297, 1522, 9165, 547, 2870, 1507, 2516, 267, 782, 20814, 835, 610, 1776, 2460, 540, 31881, 11297, 543, 4259, 1055, 547, 1382, 741, 1888, 538, 6935, 547, 31881, 11297, 269, 1358, 949, 581, 15388, 27566, 2853, 267, 27566, 1893, 267, 27566, 2528, 267, 3092, 269, 1358, 949, 946, 519, 4950, 267, 679, 9871, 2664, 553, 267, 543, 824, 2835, 547, 7110, 741, 1382, 269, 634, 4093, 1522, 581, 4843, 607, 2328, 513, 5152, 267, 513, 16968, 267, 513, 17948, 6881, 267, 2048, 974, 778, 685, 519, 1362, 538, 513, 9910, 268, 1652, 517, 267, 2328, 513, 2110, 1404, 267, 3092, 269, 1215, 798, 649, 8300, 3610, 547, 581, 8746, 968, 719, 540, 519, 4216, 892, 888, 25594, 2542, 968, 20084, 281, 1215, 1223, 519, 3450, 540, 31881, 11297, 581, 4824, 538, 3506, 18313, 4002, 713, 2985, 267, 649, 1592, 2200, 11341, 547, 519, 27566, 15215, 543, 1259, 540, 1272, 563, 25594, 2542, 968, 306, 1731, 11297, 8249, 892, 0, 11321, 710, 943, 1137, 267, 4352, 18784, 543, 9247, 29462, 676, 3744, 2394, 5063, 267, 2408, 547, 581, 519, 1034, 10731, 543, 3309, 1106, 540, 5027, 18187, 908, 8665, 593, 519, 4541, 269, 1703, 616, 5111, 476, 275, 343, 9818, 271, 943, 720, 538, 12084, 610, 476, 276, 343, 13040, 829, 1984, 4106, 516, 269, 10226, 31357, 18089, 303, 3468, 338, 835, 540, 519, 1034, 1455, 7286, 4551, 267, 19994, 698, 756, 1461, 18451, 1664, 540, 519, 590, 2752, 1556, 804, 1228, 269, 1358, 2408, 547, 3310, 6915, 613, 12950, 9979, 11451, 267, 1683, 543, 10038, 15451, 9265, 267, 4783, 3327, 998, 7286, 1426, 3103, 267, 543, 616, 1898, 538, 7303, 9190, 2551, 30762, 269, 12207, 616, 3695, 519, 1761, 540, 7286, 19826, 2684, 1137, 547, 581, 1031, 547, 2061, 610, 9258, 552, 583, 5268, 1709, 563, 5649, 811, 827, 713, 1888, 281, 13149, 645, 1461, 328, 21301, 454, 293, 13904, 10530, 5627, 519, 2262, 7286, 912, 2108, 10144, 2196, 2476, 689, 519, 2012, 13564, 344, 269, 898, 568, 513, 13564, 344, 269, 594, 993, 711, 12922, 547, 1289, 621, 865, 269, 898, 568, 6976, 585, 519, 3483, 540, 4758, 513, 21471, 7286, 547, 519, 2898, 2197, 865, 602, 519, 4123, 540, 519, 2898, 2197, 786, 581, 4324, 1540, 7551, 267, 543, 519, 2367, 4881, 519, 9635, 786, 540, 1576, 1118, 513, 10257, 7443, 2807, 28791, 649, 723, 513, 21471, 7286, 267, 938, 26010, 952, 1572, 2390, 585, 18086, 610, 17872, 960, 568, 2469, 547, 581, 1034, 26843, 3034, 1765, 19365, 20999, 570, 10762, 630, 6977, 278, 866, 1789, 264, 0, 3682, 28698, 538, 10896, 2029, 814, 1500, 824, 15941, 2010, 3592, 22573, 269, 2349, 5074, 971, 607, 918, 7973, 517, 1025, 889, 338, 1869, 2291, 538, 8755, 2775, 3631, 267, 855, 621, 568, 4101, 547, 14526, 519, 1648, 4398, 267, 2196, 942, 267, 1764, 4187, 543, 21386, 4781, 540, 606, 10896, 8755, 2775, 563, 763, 1614, 3044, 3681, 585, 519, 7828, 2992, 528, 2282, 513, 1025, 889, 1860, 875, 519, 1769, 568, 16559, 563, 14503, 797, 630, 528, 6378, 2567, 589, 2582, 11237, 4560, 269, 2672, 3386, 585, 8912, 4247, 538, 3786, 610, 1247, 6972, 563, 8967, 582, 630, 528, 5059, 2567, 589, 2582, 11237, 10511, 18469, 883, 513, 30425, 547, 533, 15127, 513, 1279, 3845, 269, 898, 568, 1732, 585, 8905, 1922, 4193, 610, 513, 3728, 19550, 6437, 563, 3849, 3286, 762, 281, 2142, 600, 4560, 9832, 689, 3376, 547, 8998, 610, 693, 1022, 1448, 538, 519, 1647, 269, 1280, 3236, 267, 646, 945, 1131, 946, 513, 5544, 11237, 568, 513, 6172, 828, 3168, 585, 519, 1985, 5180, 585, 4974, 513, 4786, 267, 513, 6360, 11237, 563, 299, 2074, 609, 513, 3908, 1379, 3761, 1246, 513, 11931, 267, 2282, 1790, 1251, 21386, 1377, 782, 1472, 1034, 540, 519, 9075, 1272, 4783, 269, 28527, 547, 606, 1439, 267, 2705, 267, 1769, 3977, 12772, 1055, 10393, 543, 3648, 269, 1133, 15905, 8279, 2253, 6505, 1287, 3384, 9428, 12129, 607, 789, 13811, 1379, 689, 519, 9075, 563, 763, 1826, 543, 10333, 540, 18839, 9075, 568, 1034, 2693, 513, 3815, 538, 8939, 513, 8755, 2775, 563, 11514, 1842, 762, 281, 634, 1034, 1031, 6007, 7306, 616, 538, 946, 267, 589, 8150, 610, 21191, 568, 11593, 3015, 269, 4256, 26700, 568, 1164, 6453, 3977, 585, 513, 3787, 540, 2450, 543, 13379, 282, 3843, 547, 1118, 2009, 513, 17321, 8755, 2775, 538, 513, 2370, 267, 14402, 10189, 269, 18044, 7547, 1210, 667, 1591, 9075, 616, 1869, 3015, 952, 596, 2119, 513, 10627, 517, 13355, 1907, 585, 3106, 610, 513, 1769, 602, 786, 711, 1205, 2250, 538, 513, 17927, 563, 305, 3663, 1618, 762, 281, 29740, 2987, 16864, 12268, 1834, 9075, 666, 581, 556, 10276, 1120, 1242, 998, 513, 18292, 7681, 689, 513, 2780, 267, 8028, 610, 9823, 17752, 610, 7943, 1759, 4604, 269, 634, 2362, 8521, 2431, 13258, 568, 811, 982, 9104, 730, 585, 676, 519, 1970, 6024, 4881, 13258, 267, 1100, 10421, 585, 7006, 839, 762, 9075, 543, 8519, 3653, 563, 30262, 1168, 762, 281, 18044, 7547, 609, 606, 17697, 6007, 23518, 676, 513, 1688, 1835, 1678, 610, 7943, 1759, 4604, 616, 4998, 585, 6668, 20164, 563, 25519, 1081, 281, 1684, 711, 8415, 16864, 610, 16864, 12268, 1834, 9075, 609, 1022, 30425, 4849, 952, 6700, 676, 519, 10672, 269, 1411, 9651, 31362, 513, 1769, 676, 1476, 15929, 621, 609, 16864, 9075, 563, 288, 22072, 4259, 568, 7850, 585, 24080, 4052, 946, 269, 589, 1906, 3631, 2709, 693, 2547, 1079, 12331, 899, 1970, 267, 5420, 267, 1164, 543, 12740, 1040, 1411, 949, 10355, 8415, 811, 982, 835, 7154, 267, 855, 2348, 519, 4244, 547, 19184, 532, 606, 3063, 1606, 13521, 30361, 593, 7662, 666, 581, 931, 565, 532, 9789, 811, 26672, 573, 519, 7154, 267, 519, 10156, 519, 678, 29025, 269, 589, 1906, 3631, 949, 2709, 9058, 12331, 899, 513, 588, 549, 2041, 610, 590, 5308, 1331, 269, 1849, 1304, 1982, 30154, 12331, 610, 7154, 15971, 1522, 581, 606, 4244, 269, 901, 1522, 581, 513, 5057, 20291, 883, 519, 30425, 610, 1305, 909, 593, 5752, 543, 22434, 547, 519, 1769, 1210, 513, 18292, 3095, 269, 589, 6513, 634, 1826, 540, 593, 270, 4752, 543, 8654, 7154, 17176, 568, 1713, 585, 1808, 7218, 269, 4964, 16181, 543, 1793, 11107, 616, 3921, 27274, 14853, 5249, 269, 589, 15914, 581, 29992, 666, 11338, 6445, 538, 607, 513, 6467, 267, 8506, 1079, 3946, 547, 960, 269, 589, 1134, 5630, 9376, 8952, 519, 1769, 689, 1373, 538, 30541, 1836, 5828, 593, 267, 4104, 16226, 27644, 1377, 6007, 16698, 543, 11411, 269, 589, 1906, 8279, 1331, 513, 14980, 630, 12061, 12641, 10107, 264, 1128, 320, 15515, 600, 960, 538, 799, 10169, 1167, 15758, 519, 6467, 4384, 919, 519, 1769, 2394, 2901, 513, 2407, 26882, 3762, 621, 593, 267, 610, 12419, 519, 6467, 7140, 621, 1055, 1510, 11319, 998, 782, 12331, 269, 901, 568, 606, 10694, 3693, 538, 1876, 28431, 2238, 563, 29605, 543, 23426, 4107, 30425, 4703, 616, 2901, 5068, 610, 11956, 7623, 269, 2368, 3693, 10917, 1229, 5374, 538, 519, 1283, 540, 519, 3167, 17689, 585, 3606, 1198, 11685, 269, 3502, 782, 11956, 4703, 616, 1945, 2147, 1765, 3467, 28795, 6163, 616, 14402, 267, 23198, 3283, 616, 9875, 269, 595, 2643, 785, 3740, 4703, 616, 519, 1034, 1134, 8153, 3337, 282, 2705, 267, 607, 891, 786, 3622, 1847, 1472, 950, 9788, 593, 513, 2627, 267, 513, 1906, 3631, 616, 1527, 6150, 547, 5706, 12902, 269, 4746, 267, 519, 3544, 540, 519, 1560, 949, 723, 513, 5679, 584, 1194, 1383, 547, 2285, 3180, 543, 24390, 1793, 6235, 563, 23917, 543, 13379, 454, 26574, 713, 568, 267, 585, 519, 1034, 851, 267, 2673, 547, 1753, 13283, 269, 589, 8273, 267, 18219, 1770, 3884, 1406, 811, 26672, 573, 267, 855, 621, 786, 4440, 1331, 606, 782, 2987, 5477, 2196, 942, 1317, 540, 513, 3152, 6007, 3970, 563, 8340, 519, 1655, 17689, 23290, 4945, 1934, 269, 4179, 2517, 4178, 269, 565, 697, 32697, 8807, 337, 15828, 2086, 564, 528, 3832, 11258, 0, 25583, 476, 274, 1299, 476, 275, 4841, 786, 3136, 547, 1451, 827, 543, 2259, 519, 1739, 912, 1892, 19255, 3106, 543, 3106, 2853, 282, 1101, 5351, 563, 1892, 13431, 301, 289, 4058, 2736, 1524, 267, 5741, 10495, 267, 7600, 1664, 1299, 19809, 454, 1892, 808, 580, 4070, 543, 1305, 5346, 563, 1892, 30166, 8132, 6443, 2044, 4070, 2553, 543, 741, 3096, 563, 1892, 8033, 4240, 4245, 593, 2553, 538, 519, 2127, 540, 912, 1892, 7435, 2645, 454, 1892, 7435, 27703, 2645, 454, 1892, 10724, 2645, 454, 1892, 8381, 4162, 281, 4137, 1299, 10286, 2497, 8446, 543, 3096, 454, 1892, 7335, 267, 21264, 532, 267, 543, 11160, 13586, 22386, 4566, 563, 1892, 6480, 26305, 543, 12719, 2949, 1942, 540, 1788, 4070, 563, 1892, 21964, 543, 1697, 3903, 5542, 540, 8800, 543, 3728, 2287, 2553, 563, 1892, 8073, 513, 6101, 6881, 540, 8737, 960, 282, 14769, 6881, 693, 1439, 540, 2034, 19496, 538, 4873, 282, 15937, 981, 563, 5472, 4359, 270, 611, 341, 3496, 3574, 32305, 786, 912, 1892, 8073, 513, 3308, 14769, 630, 12741, 1448, 610, 2546, 264, 602, 6054, 707, 960, 585, 519, 1032, 269, 901, 14769, 786, 19411, 622, 609, 606, 1439, 540, 1032, 6881, 547, 631, 9391, 3574, 32305, 543, 5234, 269, 0, 763, 1935, 540, 1210, 1843, 1107, 20218, 2553, 585, 8888, 513, 1062, 568, 5219, 547, 607, 1843, 1700, 528, 14314, 1374, 269, 744, 5308, 292, 568, 519, 1101, 1843, 15129, 1374, 12191, 602, 18271, 946, 2665, 538, 3301, 1374, 269, 634, 1843, 15129, 17565, 3576, 922, 3337, 689, 519, 3355, 1523, 540, 513, 1007, 5752, 7824, 1935, 267, 1247, 519, 1719, 538, 1374, 543, 2079, 2409, 3357, 1454, 2663, 269, 8629, 1700, 528, 14314, 1646, 269, 901, 1576, 568, 5497 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1279, 1974, 267, 4742, 8697, 563, 763, 2262, 968, 577, 3055, 892, 568, 1883, 1934, 269, 1879, 7189, 946, 519, 2262, 968, 577, 3055, 892, 538, 4395, 540, 513, 2068, 267, 789, 1611, 602, 519, 2068, 568, 1279, 29280, 267, 610, 814, 7444, 2919, 936, 513, 1279, 1974, 269, 634, 6587, 540, 5312, 568, 968, 659, 1393, 9731, 10907, 1393, 8459, 2068, 267, 610, 8650, 8459, 5945, 267, 1869, 10522, 3441, 547, 519, 14401, 855, 814, 1360, 1114, 3123, 267, 1360, 1114, 5574, 267, 543, 1360, 1114, 4093, 1107, 519, 3017, 513, 2582, 2262, 666, 1118, 2336, 29587, 5821, 568, 606, 5051, 1455, 4082, 1031, 676, 19353, 269, 634, 2295, 14543, 547, 798, 922, 2816, 540, 23028, 5135, 11656, 1973, 1472, 519, 1560, 563, 15919, 621, 568, 3551, 563, 17357, 517, 776, 1488, 6670, 8376, 454, 2171, 4076, 19927, 1018, 606, 16050, 568, 267, 855, 1018, 593, 3618, 568, 513, 968, 14585, 517, 776, 892, 888, 17357, 517, 776, 2501, 689, 519, 5259, 2495, 968, 322, 3497, 6100, 634, 8318, 2456, 616, 519, 16209, 602, 3761, 519, 2295, 4887, 609, 5135, 730, 1973, 269, 1358, 6565, 856, 540, 519, 513, 677, 320, 543, 16833, 1472, 519, 2295, 899, 513, 13862, 1107, 596, 798, 991, 930, 9345, 267, 855, 952, 596, 2673, 707, 4064, 267, 596, 666, 1175, 827, 4605, 621, 563, 3080, 540, 519, 7887, 1981, 2188, 585, 18337, 16050, 2068, 568, 13119, 269, 968, 307, 3290, 892, 1797, 968, 12304, 675, 5608, 543, 5409, 268, 568, 513, 18772, 602, 1797, 968, 14683, 5608, 513, 21993, 18502, 1164, 2604, 563, 11947, 1973, 2604, 1369, 519, 18337, 16209, 568, 513, 18931, 1981, 3815, 585, 2348, 513, 2295, 4323, 563, 11947, 1973, 2604, 849, 4679, 519, 1981, 540, 2348, 513, 8482, 269, 589, 8482, 568, 513, 2783, 1141, 972, 779, 4389, 1973, 2095, 547, 519, 2634, 267, 3056, 547, 519, 2669, 540, 2634, 2339, 563, 763, 2038, 5259, 13500, 1031, 547, 4766, 2550, 4299, 676, 8482, 607, 1373, 13351, 609, 5208, 538, 741, 9843, 267, 543, 1031, 519, 2262, 968, 777, 963, 15383, 9731, 17457, 13500, 723, 7550, 519, 2262, 968, 560, 6593, 892, 3079, 563, 2108, 2304, 320, 8598, 892, 568, 513, 2262, 596, 3580, 7237, 1419, 538, 707, 2564, 4876, 269, 7885, 1227, 267, 16562, 8598, 4016, 547, 1970, 2157, 540, 688, 655, 18331, 538, 519, 3461, 779, 1973, 563, 763, 5259, 2262, 585, 1973, 568, 688, 9874, 267, 543, 519, 18772, 910, 534, 1797, 968, 23719, 31865, 12777, 267, 16562, 8598, 1797, 968, 23719, 1973, 6100, 1717, 267, 621, 779, 711, 607, 21055, 607, 621, 4992, 256, 13298, 982, 1373, 1510, 1973, 267, 2550, 4299, 676, 16562, 8598, 723, 513, 4389, 1297, 540, 2699, 1973, 2281, 865, 616, 1447, 2111, 547, 4163, 5135, 1472, 741, 1560, 563, 288, 1455, 2783, 602, 5540, 519, 9641, 568, 16415, 563, 763, 2262, 13969, 517, 538, 5259, 1797, 968, 331, 2426, 5608, 543, 16415, 568, 606, 12982, 2783, 602, 5540, 519, 9641, 269, 898, 666, 581, 1813, 547, 3968, 267, 855, 621, 666, 849, 723, 513, 1875, 29795, 1190, 2014, 563, 14813, 1663, 27833, 568, 3361, 676, 513, 3644, 267, 543, 568, 606, 8650, 2783, 602, 5540, 519, 28296, 563, 763, 2012, 568, 2047, 6508, 689, 519, 7969, 2262, 14798, 267, 799, 1031, 547, 1611, 968, 719, 19874, 5608, 4440, 13288, 547, 519, 1259, 538, 799, 519, 2770, 19082, 689, 1268, 547, 1268, 563, 22349, 8676, 568, 513, 1360, 1455, 5312, 2783, 269, 634, 2262, 968, 553, 628, 2742, 892, 2501, 689, 519, 5259, 2495, 968, 335, 13589, 6100, 14904, 609, 10447, 666, 6560, 547, 6952, 741, 7362, 950, 789, 2461, 2348, 606, 4323, 267, 865, 519, 2783, 779, 2012, 2306, 513, 2603, 540, 2631, 563, 32247, 26861, 10614, 17240, 14004, 8376, 454, 12024, 10447, 267, 5312, 30126, 17422, 2068, 267, 849, 1634, 607, 30189, 267, 568, 513, 5312, 2783, 7133, 519, 9641, 563, 4596, 11520, 568, 513, 1279, 29280, 267, 3500, 3491, 326, 7675, 2068, 602, 5540, 519, 9641, 12462, 335, 592, 14004, 25257, 27537, 676, 15176, 25312, 998, 519, 28296, 267, 607, 1498, 519, 28296, 941, 29572, 539, 610, 3908, 563, 302, 4614, 18576, 568, 513, 1455, 2783, 1851, 519, 11361, 2551, 267, 543, 4523, 950, 811, 5642, 2339, 568, 7745, 1524, 982, 3710, 267, 3056, 547, 5642, 8467, 543, 18655, 563, 302, 4614, 334, 568, 5259, 585, 968, 14752, 5608, 543, 11188, 657, 585, 968, 10139, 720, 5608, 2495, 968, 10139, 1137, 1369, 519, 5642, 6100, 7885, 1227, 267, 621, 4016, 547, 519, 5920, 540, 7633, 4299, 676, 21404, 563, 6635, 9374, 568, 1776, 1455, 2783, 7133, 519, 7633, 269, 1488, 628, 1258, 568, 519, 5259, 2262, 585, 968, 329, 2002, 5608, 543, 12263, 1797, 6553, 540, 519, 10549, 269, 5565, 1292, 2010, 540, 12263, 616, 18931, 281, 30169, 543, 27131, 12263, 563, 302, 4614, 24763, 4523, 950, 519, 20162, 543, 17011, 1063, 1079, 7475, 540, 513, 4745, 616, 12816, 1524, 267, 865, 519, 4745, 3587, 13888, 543, 11213, 547, 1847, 563, 305, 515, 15436, 1355, 12263, 568, 606, 16991, 2068, 267, 538, 799, 519, 4761, 1062, 540, 513, 1268, 6285, 519, 2635, 4745, 543, 5642, 2281, 267, 3056, 547, 5312, 6553, 543, 23979, 563, 763, 2262, 968, 337, 515, 15436, 1355, 892, 24283, 922, 2495, 689, 519, 5259, 18212, 6373, 2495, 968, 21065, 832, 892, 610, 968, 321, 617, 1176, 12862, 6100, 898, 779, 15458, 875, 713, 2262, 814, 1044, 2404, 5033, 656, 1227, 609, 16991, 5642, 23979, 267, 855, 621, 949, 581, 1813, 547, 519, 5714, 4015, 602, 10953, 1369, 519, 4745, 2230, 4299, 676, 713, 1826, 540, 12263, 563, 12831, 1833, 4656, 568, 4909, 538, 2369, 2358, 543, 4543, 1004, 945, 616, 7092, 689, 621, 267, 855, 1018, 1281, 968, 24119, 1833, 892, 1611, 888, 763, 5824, 8231, 1244, 3234, 699, 1797, 12777, 968, 1729, 2046, 1524, 31865, 865, 596, 666, 1294, 875, 713, 2262, 666, 581, 4294, 547, 7099, 543, 4664, 267, 4758, 596, 519, 2413, 2495, 540, 4965, 563, 2108, 300, 580, 9627, 892, 568, 513, 13581, 14842, 540, 519, 5259, 2262, 646, 6193, 3757, 807, 267, 799, 1797, 968, 327, 2788, 15693, 6100, 20353, 9627, 568, 3989, 607, 4049, 1928, 5433, 538, 835, 2427, 540, 519, 2212, 563, 5629, 1586, 267, 8840, 1524, 519, 2262, 883, 2582, 3334, 543, 5072, 666, 948, 596, 960, 856, 519, 3312, 21055, 2495, 267, 543, 1256, 1174, 519, 4791, 2495, 563, 3682, 1027, 999, 543, 32192, 454, 763, 2262, 968, 338, 29864, 892, 2501, 689, 519, 5824, 669, 597, 4026, 807, 267, 2495, 968, 1740, 2944, 676, 1688, 6100, 17889, 568, 835, 540, 519, 1292, 10092, 602, 1082, 2564, 1053, 1491, 1310, 6280, 563, 2108, 17484, 22000, 892, 1797, 968, 1729, 1413, 3330, 5608, 607, 7768, 676, 519, 1913, 1439, 334, 630, 26074, 968, 514, 4156, 14615, 543, 9165, 630, 26074, 968, 1729, 1413, 892, 1916, 17484, 22000, 568, 1031, 676, 1312, 1199, 923, 543, 23262, 547, 3308, 1047, 519, 1202, 1938, 540, 2576, 538, 513, 30194, 29554, 1259, 563, 291, 658, 1736, 568, 513, 4922, 268, 4310, 5650, 547, 4894, 6757, 3653, 689, 2576, 779, 1973, 950, 741, 14401, 616, 17528, 563, 2005, 779, 513, 12432, 2262, 267, 546, 807, 543, 561, 1736, 267, 543, 621, 1797, 968, 1729, 5094, 892, 610, 968, 1729, 1305, 1863, 892, 1107, 678, 27570, 519, 1973, 540, 782, 519, 13802, 543, 3653, 563, 17951, 328, 6955, 7360, 568, 513, 1390, 2262, 267, 543, 513, 1390, 5650, 256, 4911, 1470, 4016, 547, 8043, 267, 2356, 16209, 267, 1247, 726, 7360, 1797, 968, 1729, 22285, 892, 1107, 547, 22285, 606, 16050, 563, 2691, 1031, 538, 513, 18337, 16050, 267, 649, 3277, 547, 621, 607, 968, 14585, 517, 776, 2587, 328, 6955, 7360, 5608, 543, 621, 779, 835, 540, 519, 5574, 585, 513, 2295, 4323, 610, 4389, 1973, 3761, 547, 519, 2295, 4887, 563, 2171, 917, 602, 513, 6669, 568, 606, 13297, 602, 6971, 519, 1981, 540, 20414, 513, 3644, 610, 1776, 11763, 2068, 267, 855, 1946, 568, 621, 1572, 513, 968, 341, 3147, 710, 892, 888, 763, 2262, 968, 341, 3147, 710, 892, 2501, 2047, 689, 5824, 1107, 543, 621, 1797, 968, 322, 578, 6100, 634, 1101, 6669, 2919, 729, 1996, 10800, 21479, 1107, 513, 3448, 540, 31847, 267, 543, 606, 5393, 11763, 2068, 602, 3361, 1082, 7972, 538, 519, 2063, 2540, 563, 22913, 532, 2564, 3822, 666, 3100, 18447, 693, 1101, 267, 855, 609, 6266, 540, 2259, 543, 930, 14942, 7279, 267, 596, 3580, 4166, 581, 2111, 547, 24808, 1950, 2564, 2035, 899, 513, 605, 2336, 19931, 2792, 786, 1118, 596, 606, 5863, 4387, 610, 3782, 3318, 267, 865, 972, 779, 1100, 1732, 942, 547, 1376, 5355, 707, 2792, 1983, 982, 1631, 2336, 3528, 17630, 7195, 817, 7236, 454, 291, 773, 2998, 568, 513, 8026, 21738, 4387, 267, 2348, 21783, 689, 11062, 2160, 267, 543, 645, 11301, 543, 634, 5507, 3427, 540, 6925, 269, 3571, 15938, 5098, 5059, 593, 2860, 7350, 543, 519, 31706, 269, 1261, 568, 4058, 513, 4876, 538, 10411, 10614, 543, 5068, 6391, 267, 15691, 547, 2721, 1927, 10124, 689, 5160, 6915, 30261, 267, 27532, 543, 6565, 1591, 1382, 563, 13480, 1995, 666, 2731, 2087, 519, 2298, 540, 513, 2123, 3948, 267, 6173, 908, 621, 689, 835, 1377, 547, 519, 1985, 269, 1280, 513, 6280, 23504, 11464, 267, 621, 2982, 602, 596, 2461, 6131, 547, 707, 1641, 543, 723, 3144, 519, 942, 547, 2263, 4876, 7399, 585, 707, 2483, 16920, 2056, 606, 2228, 13004, 10872, 568, 606, 5140, 4316, 547, 979, 3564, 519, 2834, 1153, 6437, 543, 3605, 1007, 2591, 538, 519, 1641, 256, 19663, 538, 8560, 267, 2228, 13004, 15961, 1628, 6015, 543, 16491, 1164, 1153, 1053, 609, 1007, 1983, 543, 2483, 763, 5354, 540, 5177, 9945, 1810, 1406, 2154, 1808, 589, 7400, 5396, 607, 606, 7127, 10421, 5196, 513, 4521, 4110, 269, 1717, 267, 621, 779, 2141, 513, 1434, 2856, 547, 3442, 589, 7400, 338, 602, 786, 948, 596, 1628, 513, 2178, 5748, 585, 707, 2104, 4081, 2090, 543, 3318, 1862, 0, 19285, 6415, 3478, 930, 8035, 958, 1164, 13220, 1472, 596, 4799, 13480, 5829, 2068, 568, 6059, 547, 2272, 585, 476, 16020, 268, 12010, 7972, 513, 1032, 538, 1715, 10215, 269, 9435, 8309, 547, 827, 3368, 540, 1346, 7972, 543, 693, 2547, 513, 3791, 540, 1740, 5829, 6413, 31907, 563, 288, 2487, 5619, 1336, 602, 936, 3368, 630, 6872, 269, 276, 8472, 540, 4600, 538, 1715, 10215, 616, 4440, 6534, 547, 693, 2547, 835, 454, 4754, 1356, 27351, 6748, 8665, 610, 15910, 4094, 693, 960, 269, 20290, 513, 10116, 540, 4600, 630, 2537, 269, 274, 8472, 616, 4440, 6534, 547, 2947, 610, 811, 15910, 11077, 269, 1656, 5176, 1614, 538, 4557, 4600, 630, 2764, 8472, 616, 4440, 6534, 547, 693, 2547, 835, 15910, 4094, 693, 513, 1164, 1377, 540, 4598, 563, 763, 1715, 10215, 595, 32555, 11077, 11752, 630, 301, 313, 5425, 1070, 20827, 676, 4518, 306, 12522, 1715, 10215, 267, 729, 519, 1101, 1382, 547, 4983, 519, 9860, 540, 17163, 15910, 11077, 538, 519, 2324, 2551, 269, 898, 1336, 602, 519, 2947, 1034, 1455, 2860, 27351, 6748, 6878, 543, 23927, 2066, 782, 6080, 941, 22904, 2940, 630, 1789, 15992, 3859, 11158, 630, 2767, 15992, 11158, 4598, 547, 519, 3750, 630, 2918, 15992, 17088, 2599, 9688, 630, 2190, 15992, 543, 2034, 11804, 10269, 8673, 630, 1428, 22103, 5565, 14758, 8153, 15910, 11077, 267, 6521, 960, 543, 3574, 7452, 267, 20039, 585, 476, 280, 260, 543, 476, 279, 260, 540, 23927, 6606, 563, 763, 1614, 2872, 9922, 609, 519, 5207, 4598, 547, 693, 2547, 835, 15910, 4094, 941, 14086, 630, 9032, 15992, 24542, 267, 13937, 267, 4826, 543, 17904, 7896, 630, 10844, 269, 278, 15992, 11982, 267, 32645, 543, 674, 5109, 630, 6434, 269, 280, 260, 1916, 17746, 2315, 4600, 267, 6705, 267, 543, 6595, 4600, 4810, 519, 5207, 3328, 1297, 540, 23927, 267, 609, 1142, 1895, 6534, 547, 811, 982, 5722, 15910, 8328, 8069, 269, 2311, 5420, 543, 1164, 2157, 540, 4598, 267, 6521, 960, 729, 519, 1034, 1455, 15910, 4094, 538, 16195, 543, 4317, 26859, 267, 543, 5398, 10029, 543, 8881, 630, 1704, 269, 276, 260, 543, 476, 1321, 269, 274, 9077, 6606, 1040, 631, 5953, 9461, 543, 7414, 4600, 543, 2367, 941, 519, 1034, 2693, 547, 581, 6534, 547, 693, 2547, 835, 15910, 4094, 563, 7197, 4213, 786, 723, 2818, 540, 519, 1857, 945, 616, 711, 4600, 693, 610, 2282, 741, 9036, 693, 2547, 930, 540, 519, 942, 269, 4518, 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 ]
[ 540, 1034, 8100, 547, 12390, 3197, 6594, 2221, 563, 268, 5130, 476, 272, 1107, 26056, 700, 1681, 267, 7810, 1977, 23071, 538, 3703, 3028, 630, 323, 269, 476, 9965, 272, 994, 268, 5130, 476, 275, 1107, 26826, 8738, 337, 267, 29447, 1421, 5518, 540, 23134, 2160, 630, 323, 269, 476, 11260, 278, 994, 268, 5130, 476, 1556, 1107, 31611, 2701, 742, 1752, 267, 476, 273, 526, 16099, 540, 21207, 532, 5069, 543, 22374, 2421, 267, 2296, 15626, 2006, 630, 323, 269, 476, 15876, 276, 994, 268, 5130, 476, 1321, 1107, 21293, 632, 772, 961, 10394, 267, 5053, 2489, 543, 10196, 630, 323, 269, 476, 9692, 276, 994, 268, 5130, 476, 1428, 454, 268, 5130, 476, 736, 454, 268, 5130, 476, 2918, 1107, 6723, 2885, 664, 267, 476, 272, 560, 966, 4593, 870, 590, 871, 6807, 267, 3703, 8136, 2489, 630, 323, 269, 476, 9965, 276, 994, 268, 5130, 476, 1789, 1107, 14161, 12049, 20891, 1520, 601, 322, 7949, 345, 267, 16528, 4056, 543, 3540, 22700, 630, 323, 269, 476, 9692, 277, 994, 268, 5988, 476, 273, 1107, 6424, 3400, 30937, 267, 3703, 8136, 2489, 630, 323, 269, 476, 9692, 278, 994, 268, 5988, 476, 275, 1107, 21280, 2946, 3752, 6403, 338, 23205, 577, 632, 9315, 7431, 267, 5053, 7810, 17294, 630, 323, 269, 476, 10082, 271, 994, 268, 5988, 476, 279, 1107, 17131, 638, 1446, 595, 2378, 16619, 267, 7969, 21917, 630, 323, 269, 476, 9965, 278, 994, 268, 5988, 476, 280, 1107, 6307, 6022, 1067, 267, 2296, 5856, 630, 323, 269, 476, 9692, 275, 994, 268, 5988, 476, 2537, 1107, 4165, 334, 710, 11219, 24944, 623, 1716, 1214, 267, 3943, 5856, 630, 323, 269, 476, 9692, 277, 994, 268, 4728, 476, 277, 1107, 3212, 15590, 17833, 332, 267, 25227, 10196, 630, 323, 269, 476, 10082, 280, 994, 268, 4728, 476, 1724, 1107, 25905, 27000, 23770, 540, 2398, 17892, 630, 323, 269, 476, 5197, 272, 994, 268, 4728, 476, 1240, 1107, 26179, 30247, 267, 3400, 325, 13153, 654, 2643, 747, 3768, 700, 2714, 636, 267, 2398, 11701, 7952, 11464, 630, 323, 269, 476, 10082, 275, 994, 268, 4728, 476, 866, 1107, 2871, 8759, 2541, 21676, 560, 537, 519, 8479, 518, 267, 3943, 7376, 630, 323, 269, 476, 10082, 278, 994, 268, 4728, 476, 2641, 1107, 8277, 325, 21540, 518, 267, 16231, 21917, 543, 1418, 626, 630, 323, 269, 476, 9965, 273, 994, 268, 4989, 476, 272, 1107, 21546, 10910, 903, 267, 21730, 1728, 19282, 2914, 31581, 630, 323, 269, 476, 10082, 280, 994, 268, 4989, 476, 276, 1107, 22819, 31109, 634, 639, 267, 1977, 7376, 630, 323, 269, 476, 10082, 275, 994, 268, 4989, 476, 1321, 1107, 21634, 823, 16902, 731, 7236, 267, 7969, 21917, 267, 3423, 21442, 630, 323, 269, 476, 9692, 277, 994, 268, 4989, 476, 2190, 1107, 20435, 9677, 1284, 880, 879, 696, 267, 4436, 15818, 630, 323, 269, 476, 11260, 274, 994, 268, 2904, 476, 273, 1107, 5606, 14397, 24883, 540, 17577, 267, 14082, 10867, 324, 630, 1440, 1550, 264, 630, 323, 269, 476, 15876, 277, 994, 268, 2904, 476, 279, 1107, 6276, 19159, 267, 17135, 540, 11908, 630, 323, 269, 476, 9965, 276, 994, 268, 2904, 476, 736, 1107, 26179, 15656, 645, 1442, 267, 4436, 14544, 543, 31188, 1014, 630, 323, 269, 476, 9965, 276, 994, 268, 2904, 476, 2190, 1107, 4790, 14932, 267, 8092, 6588, 557, 540, 31928, 572, 7304, 582, 29118, 630, 323, 269, 476, 10082, 279, 994, 268, 2904, 476, 2764, 1107, 11184, 7917, 645, 6324, 9116, 267, 476, 275, 628, 31578, 564, 267, 3703, 22267, 543, 4759, 540, 519, 2296, 8425, 787, 630, 323, 269, 476, 9692, 278, 994, 268, 2904, 476, 3066, 1107, 8402, 11219, 6756, 5336, 541, 773, 667, 879, 321, 550, 517, 267, 3943, 10196, 630, 323, 269, 476, 9692, 280, 994, 268, 4873, 476, 1015, 1107, 14161, 29775, 2378, 661, 651, 6199, 267, 16528, 24413, 630, 323, 269, 476, 9965, 275, 994, 268, 4873, 476, 1240, 454, 268, 4873, 476, 2537, 1107, 674, 2280, 7815, 17368, 517, 267, 476, 272, 560, 31578, 16827, 2917, 630, 323, 269, 476, 9965, 280, 994, 268, 4873, 476, 1839, 1107, 20435, 23837, 645, 8475, 267, 18230, 9380, 528, 630, 323, 269, 476, 9692, 280, 994, 268, 4873, 476, 2918, 1107, 8176, 9539, 545, 15614, 546, 262, 302, 738, 8145, 2632, 267, 4936, 7826, 24649, 630, 323, 269, 476, 10082, 272, 994, 268, 4873, 476, 2767, 1107, 7200, 1047, 667, 1014, 324, 546, 262, 7775, 331, 2946, 753, 267, 2063, 1126, 540, 10218, 324, 4083, 267, 16099, 540, 20252, 630, 323, 269, 476, 15876, 277, 994, 268, 5147, 476, 274, 1107, 10218, 20944, 628, 731, 13153, 5576, 3530, 326, 1824, 577, 267, 4436, 13584, 5174, 12360, 630, 323, 269, 476, 9692, 276, 994, 268, 5147, 476, 1691, 1107, 7812, 5576, 331, 2660, 267, 1977, 23464, 2006, 630, 323, 269, 476, 9692, 271, 994, 268, 5147, 476, 1704, 1107, 5261, 8210, 2590, 2023, 267, 3703, 17308, 630, 323, 269, 476, 12293, 279, 994, 268, 5147, 476, 2420, 1107, 3967, 32021, 889, 2098, 600, 9081, 7288, 267, 14470, 15626, 630, 323, 269, 476, 9692, 271, 994, 268, 4864, 476, 273, 1107, 9400, 3798, 326, 322, 636, 2041, 267, 476, 273, 526, 31578, 3798, 326, 322, 636, 2041, 267, 3703, 3046, 517, 267, 22267, 630, 323, 269, 476, 12293, 272, 994, 268, 4864, 476, 275, 1107, 11184, 3627, 667, 1662, 6229, 11860, 532, 267, 476, 274, 6113, 31578, 564, 267, 2296, 2197, 9543, 2006, 630, 323, 269, 476, 9692, 274, 994, 268, 4864, 476, 279, 454, 268, 4864, 476, 1428, 1107, 20913, 9478, 13153, 674, 3305, 1014, 267, 22341, 17009, 520, 630, 323, 269, 476, 9965, 273, 994, 268, 4864, 476, 1240, 1107, 2977, 534, 24381, 1080, 15011, 337, 267, 10656, 8566, 9007, 2250, 528, 543, 31485, 630, 323, 269, 476, 10082, 276, 994, 268, 4864, 476, 1789, 1107, 7167, 1464, 9466, 267, 3703, 5251, 4056, 630, 323, 269, 476, 9965, 274, 994, 268, 5181, 476, 273, 1107, 10496, 13196, 9539, 545, 15614, 570, 731, 24586, 267, 3943, 23678, 591, 630, 323, 269, 476, 9692, 272, 994, 268, 5181, 476, 277, 1107, 8176, 26999, 564, 267, 476, 274, 6113, 23778, 540, 26653, 969, 4068, 267, 3703, 23778, 630, 323, 269, 476, 12293, 278, 994, 268, 5181, 476, 1626, 1107, 19664, 334, 12756, 2549, 648, 341, 10008, 267, 7969, 22459, 630, 323, 269, 476, 9692, 279, 994, 268, 5181, 476, 866, 1107, 3967, 15243, 5576, 738, 839, 267, 10656, 8059, 626, 630, 323, 269, 476, 9965, 279, 994, 268, 5239, 476, 272, 1107, 18148, 9931, 518, 267, 1977, 22267, 630, 323, 269, 476, 9965, 277, 994, 268, 5239, 476, 274, 1107, 16902, 990, 28839, 645, 3430, 16695, 2142, 764, 7559, 267, 7969, 21997, 630, 323, 269, 476, 9965, 272, 994, 268, 5239, 476, 275, 1107, 6276, 14811, 267, 13677, 10629, 630, 323, 269, 476, 9692, 275, 994, 268, 5239, 476, 276, 1107, 5981, 324, 328, 7354, 344, 822, 514, 267, 6739, 8098, 12637, 630, 323, 269, 476, 9692, 278, 994, 268, 5239, 476, 277, 1107, 6723, 8053, 16331, 5937, 6064, 267, 476, 273, 526, 23778, 540, 16199, 604, 1314, 267, 3703, 2829, 2006, 630, 323, 269, 476, 10082, 272, 994, 268, 5239, 476, 279, 1107, 13937, 1706, 540, 4858, 1146, 5633, 267, 5246, 29989, 540, 645, 4048, 320, 267, 14082, 23464, 2006, 630, 323, 269, 476, 9965, 271, 994, 268, 5239, 476, 1626, 1107, 7083, 31217, 23575, 305, 1195, 267, 9576, 13108, 11464, 1282, 519, 2782, 540, 519, 22341, 11773, 542, 630, 323, 269, 476, 14690, 272, 994, 268, 5239, 476, 2918, 1107, 8176, 4168, 661, 6113, 10458, 267, 16099, 540, 654, 14660, 1777, 1897, 326, 14114, 1564, 630, 323, 269, 476, 9692, 273, 994, 268, 5437, 476, 272, 454, 268, 5437, 476, 275, 1107, 30247, 13153, 918, 5500, 6495, 639, 523, 267, 2398, 11701, 17199, 630, 323, 269, 476, 5197, 271, 994, 268, 5437, 476, 1626, 1107, 3627, 3933, 549, 267, 3703, 10629, 540, 21861, 12661, 11233, 630, 323, 269, 476, 9692, 272, 994, 268, 5437, 476, 2918, 1107, 10906, 3131, 1097, 267, 667, 31866, 1087, 540, 3345, 3784, 1633, 267, 3703, 546, 31866, 1087, 282, 15248, 540, 519, 16170, 577, 600, 828, 630, 323, 269, 476, 10082, 277, 994, 268, 5412, 476, 272, 1107, 27878, 339, 1329, 928, 24381, 823, 24415, 935, 564, 267, 3943, 7376, 630, 323, 269, 476, 9692, 272, 994, 268, 5412, 476, 278, 1107, 8361, 29527, 540, 853, 565, 6199, 8862, 1716, 9528, 1712, 267, 4436, 22267, 267, 17374, 267, 1008, 739, 543, 2278, 540, 3875, 1728, 332, 985, 630, 323, 269, 476, 10082, 279, 994, 268, 5412, 476, 1321, 1107, 2274, 641, 1245, 710, 21322, 540, 1323, 327, 5306, 5937, 612, 879, 267, 12540, 9545, 710, 540, 15952, 29118, 4149, 577, 14954, 339, 630, 323, 269, 476, 9965, 273, 994, 268, 5412, 476, 1626, 454, 268, 5412, 476, 2537, 1107, 20435, 26081, 5341, 17029, 548, 267, 4436, 3046, 20529, 21917, 630, 323, 269, 476, 9965, 276, 994, 268, 5412, 476, 1839, 1107, 20435, 32021, 984, 1234, 529, 651, 267, 4436, 16159, 630, 323, 269, 476, 10082, 275, 994, 268, 5412, 476, 2918, 454, 268, 5412, 476, 2767, 1107, 28167, 2473, 11948, 525, 267, 7969, 22301, 630, 323, 269, 476, 9965, 277, 994, 268, 16977, 4266, 454, 268, 5130, 476, 272, 1107, 5261, 19785, 7815, 2917, 267, 2296, 31075, 630, 321, 269, 524, 269, 476, 13932, 272, 994, 268, 5130, 476, 1240, 1107, 11184, 7917, 645, 6324, 9116, 267, 476, 274, 6113, 31578, 564, 267, 2296, 22267, 630, 321, 269, 476, 13932, 271, 994, 268, 5130, 476, 1789, 1107, 21322, 16629, 574, 790, 7200, 1047, 632, 5487, 6182, 1052, 546, 262, 6635, 638, 1329, 267, 3943, 23899, 14470, 931, 677, 547, 3751, 3627, 8633, 590, 984, 625, 7288, 630, 321, 269, 476, 13932, 272, 994, 268, 5988, 476, 273, 1107, 20844, 667, 4040, 334, 632, 2098, 340, 10722, 27004, 586, 674, 2945, 8619, 267, 5053, 17135, 540, 519, 670, 11274, 7921, 13814, 630, 321, 269, 476, 13932, 271, 994, 268, 5988, 476, 866, 1107, 16910, 6139, 1621, 601, 3691, 1206, 25346, 614, 267, 16157, 781, 1101, 3318, 4775, 2278, 630, 321, 269, 476, 14321, 275, 994, 268, 4728, 476, 2918, 1107, 20435, 26179, 717, 1194, 1080, 577, 267, 4436, 1433, 17404, 630, 321, 269, 476, 13679, 274, 994, 268, 4728, 476, 2764, 1107, 3627, 966, 3150, 344, 267, 9721, 2895, 29989, 630, 321, 269, 476, 14321, 279, 994, 268, 4989, 476, 1691, 1107, 14880, 29464, 267, 476, 272, 560, 23778, 540, 8776, 2590, 2023, 267, 3703, 8098, 12637, 630, 321, 269, 524, 269, 476, 13932, 279, 994, 268, 4989, 476, 2918, 1107, 3627, 590, 12002, 267, 476, 272, 560, 31578, 590, 12002, 267, 7083, 26554, 27891, 540, 4789, 630, 321, 269, 476, 13679, 272, 994, 268, 4989, 476, 2764, 1107, 12142, 8402, 632, 8053, 3228, 267, 2278, 267, 6936, 8061, 10056, 547, 6307, 454, 268, 4989, 476, 3066, 1107, 11184, 9400, 3733, 9536, 601, 2023, 267, 476, 274, 6113, 31578, 564, 267, 2296, 22267, 630, 321, 269, 476, 13679, 276, 994, 268, 2904, 476, 1556, 1107, 14731, 632, 15168, 517, 24982, 267, 7969, 17308, 630, 321, 269, 476, 13932, 273, 994, 268, 2904, 476, 1691, 1107, 8361, 7621, 15734, 267, 13401, 9721, 15243, 924, 6205, 454, 268, 4873, 476, 273, 1107, 29142, 1092, 918, 16230, 12541, 267, 5545, 18048, 630, 321, 269, 524, 269, 476, 13679, 278, 994, 268, 4873, 476, 276, 1107, 23011, 595, 4925, 267, 2296, 22301, 543, 14544, 630, 321, 269, 476, 12739, 273, 994, 268, 4873, 476, 279, 1107, 20435, 30247, 267, 5082, 528, 6022, 520, 710, 630, 321, 269, 476, 13679, 279, 994, 268, 4873, 476, 280, 1107, 645, 7701, 15840, 611, 584, 267, 27566, 4108, 19524, 630, 1410, 1815, 3176, 264, 630, 321, 269, 476, 15757, 271, 994, 268, 4873, 476, 866, 1107, 15480, 1872, 11867, 594, 1115, 30253, 267, 476, 278, 628, 15480, 1872, 11867, 695, 690, 684, 622, 540, 3567, 630, 321, 269, 476, 10204, 280, 994, 268, 4873, 476, 2764, 1107, 6723, 23575, 305, 1195, 267, 476, 272, 560, 16099, 540, 3345, 3784, 1633, 267, 2296, 2489, 630, 321, 269, 476, 14917, 276, 994, 268, 5147, 476, 279, 1107, 7917, 3162, 267, 2296, 5939, 2006, 630, 321, 269, 476, 14321, 275, 994, 268, 5147, 476, 280, 1107, 9478, 28397, 557, 584, 267, 3943, 22301, 630, 321, 269, 476, 13679, 274, 994, 268, 5147, 476, 1691, 1107, 11977, 10557, 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 ]
[ 723, 1500, 2101, 7418, 538, 1169, 2361, 540, 1480, 20089, 282, 513, 17609, 540, 811, 982, 476, 6110, 4563, 1252, 1023, 543, 8098, 597, 1023, 282, 543, 7128, 6146, 902, 540, 796, 28534, 17051, 267, 10503, 1142, 25896, 563, 296, 6557, 3168, 585, 513, 17404, 585, 1312, 2507, 0, 1432, 1281, 621, 1611, 547, 581, 3811, 888, 7197, 1004, 2221, 5581, 1967, 607, 2348, 5763, 610, 19539, 538, 6634, 269, 1358, 1810, 1406, 5431, 2576, 607, 3811, 952, 741, 2012, 3884, 1406, 4502, 513, 2603, 540, 2724, 563, 2005, 779, 711, 2487, 269, 10228, 2296, 9218, 267, 1394, 538, 476, 3192, 272, 267, 4767, 602, 1967, 814, 1831, 5051, 2404, 609, 5763, 543, 31449, 563, 1103, 4641, 267, 621, 568, 24407, 547, 1226, 622, 1967, 609, 2724, 563, 306, 15471, 267, 950, 3989, 9003, 676, 835, 779, 13075, 4502, 267, 896, 680, 904, 519, 18517, 540, 5830, 267, 15023, 267, 3744, 267, 17701, 267, 5159, 267, 543, 1866, 945, 1705, 711, 11654, 13284, 1127, 563, 11101, 267, 649, 666, 5581, 1967, 538, 513, 3099, 540, 1875, 15065, 8767, 2081, 563, 288, 1434, 4214, 540, 1967, 711, 13615, 547, 513, 2603, 540, 2724, 568, 2348, 519, 5191, 547, 3442, 1141, 596, 786, 2661, 267, 3548, 267, 543, 960, 269, 769, 713, 2022, 1790, 663, 2438, 1158, 267, 596, 666, 18374, 2661, 899, 513, 2518, 9930, 611, 543, 960, 689, 9170, 563, 3963, 1711, 707, 1378, 4214, 540, 1967, 888, 306, 15471, 568, 6140, 513, 3001, 3077, 267, 1022, 1259, 596, 5581, 621, 269, 589, 3811, 1272, 568, 16148, 267, 543, 835, 1268, 779, 4214, 540, 1967, 1419, 15320, 1454, 689, 1776, 779, 267, 1256, 1498, 2090, 7866, 930, 10486, 563, 5978, 2486, 5932, 30384, 540, 1018, 1967, 5654, 899, 950, 267, 538, 4641, 267, 972, 568, 1100, 3044, 4214, 269, 11773, 568, 3448, 547, 519, 1268, 945, 7319, 12923, 269, 1924, 267, 1018, 6927, 811, 568, 1018, 11225, 707, 1967, 563, 2414, 3035, 707, 5021, 1761, 543, 1831, 707, 1655, 1582, 267, 2328, 707, 1378, 4214, 540, 1967, 563, 5278, 7151, 26479, 540, 11773, 454, 10144, 5581, 1967, 607, 912, 268, 19793, 1324, 3853, 602, 4324, 1582, 607, 1134, 607, 1866, 563, 268, 7388, 1154, 835, 779, 960, 609, 17284, 543, 4626, 17165, 563, 268, 634, 15028, 6364, 540, 519, 5551, 3804, 1310, 513, 2603, 540, 24279, 563, 268, 589, 2631, 540, 2348, 12913, 1945, 693, 519, 1439, 540, 1142, 1554, 563, 268, 2037, 29058, 1582, 543, 1920, 538, 2713, 513, 1732, 267, 18668, 267, 543, 8902, 1272, 563, 268, 589, 2318, 8226, 540, 513, 1267, 267, 607, 513, 1565, 1995, 1310, 513, 5821, 563, 268, 589, 3407, 1995, 6591, 607, 513, 1267, 540, 27497, 543, 11007, 693, 960, 563, 10387, 3205, 779, 9502, 540, 11773, 454, 305, 19563, 9546, 4777, 2506, 3205, 3989, 1967, 607, 281, 968, 2414, 14902, 1419, 543, 1454, 282, 547, 3094, 519, 2463, 540, 10995, 1004, 543, 519, 15754, 540, 1453, 282, 2560, 547, 5660, 5898, 267, 547, 1265, 519, 1655, 538, 1866, 282, 547, 4734, 519, 1158, 513, 2370, 1732, 282, 2436, 676, 513, 2635, 1126, 610, 513, 4677, 15429, 2560, 547, 917, 1256, 835, 1272, 814, 3826, 1117, 4443, 1317, 596, 723, 5030, 269, 901, 568, 1967, 3034, 24841, 523, 779, 9502, 540, 11773, 454, 11990, 8381, 523, 3989, 1967, 607, 4708, 540, 2247, 25189, 1152, 998, 1582, 1606, 15384, 8351, 538, 6616, 596, 1500, 519, 4674, 547, 798, 519, 1655, 540, 799, 596, 2461, 5827, 563, 1432, 1772, 634, 9502, 540, 11773, 769, 5020, 888, 306, 15471, 538, 1272, 1797, 2713, 267, 543, 2348, 5030, 267, 513, 1434, 1272, 269, 898, 1797, 2713, 609, 14696, 543, 5621, 745, 1143, 1247, 16180, 835, 779, 6098, 3853, 269, 769, 2489, 267, 2021, 5581, 1967, 538, 2474, 540, 3347, 543, 1272, 28394, 766, 267, 1247, 2367, 5581, 621, 538, 2474, 540, 1570, 10781, 630, 291, 344, 651, 1299, 32298, 267, 476, 1220, 277, 1916, 306, 15471, 538, 1272, 568, 8757, 519, 1448, 950, 596, 723, 6913, 1034, 540, 707, 1305, 3853, 563, 2791, 949, 723, 4941, 2883, 5191, 610, 513, 476, 275, 16923, 6377, 960, 1485, 267, 543, 596, 6913, 1346, 609, 2511, 269, 2368, 1522, 723, 4941, 547, 2263, 519, 1158, 267, 1247, 1866, 1175, 4941, 547, 23365, 2933, 538, 1018, 789, 616, 13730, 827, 563, 1432, 11225, 1967, 538, 1272, 568, 3804, 12032, 1369, 519, 942, 2039, 596, 1305, 693, 519, 1376, 563, 5278, 9909, 543, 13821, 786, 2611, 796, 995, 325, 2683, 11489, 519, 2063, 1554, 540, 707, 1272, 267, 540, 1576, 269, 634, 2856, 568, 547, 2347, 519, 5354, 540, 707, 6859, 538, 513, 942, 7406, 602, 13071, 596, 2972, 1272, 2529, 15471, 666, 849, 1611, 26724, 707, 1582, 13282, 2115, 267, 16561, 602, 596, 1810, 1405, 991, 3388, 596, 1616, 267, 543, 15603, 930, 540, 707, 9909, 979, 796, 995, 325, 2683, 269, 8437, 1677, 570, 11548, 454, 2005, 1522, 1611, 1565, 602, 596, 3006, 723, 547, 2161, 968, 5591, 892, 610, 8275, 596, 3112, 1832, 621, 782, 8259, 596, 2285, 930, 2476, 563, 2414, 930, 267, 1967, 568, 513, 31934, 6560, 543, 2141, 9363, 593, 519, 1847, 269, 1677, 1866, 267, 621, 568, 513, 2631, 540, 4708, 543, 606, 3768, 626, 32328, 23249, 563, 2662, 3421, 727, 1967, 5161, 540, 8236, 1967, 538, 2947, 2127, 540, 1134, 5630, 912, 268, 27706, 610, 3318, 1967, 454, 268, 16508, 610, 5626, 1967, 454, 268, 4317, 610, 2078, 1967, 454, 268, 7991, 1967, 454, 268, 11038, 1967, 454, 6781, 913, 782, 267, 1967, 538, 1272, 1797, 8236, 2123, 20106, 1510, 31362, 4896, 563, 306, 1539, 1214, 779, 9502, 540, 11773, 9093, 1299, 6468, 454, 1103, 476, 1960, 274, 267, 11554, 19716, 12139, 4280, 3988, 1018, 2306, 873, 1745, 3811, 267, 543, 789, 4080, 912, 268, 6126, 1920, 1272, 610, 2078, 630, 8064, 260, 994, 268, 2348, 2614, 942, 585, 1920, 543, 2828, 630, 4792, 260, 994, 268, 1373, 538, 1852, 936, 741, 2729, 630, 6872, 260, 994, 268, 1373, 1360, 1434, 693, 741, 6009, 630, 5655, 260, 994, 268, 1373, 3638, 2614, 547, 4444, 8726, 789, 1616, 630, 2918, 260, 994, 268, 1164, 7400, 2990, 693, 2816, 630, 1556, 260, 994, 268, 2348, 1379, 610, 3310, 630, 278, 260, 1916, 11101, 267, 4352, 2367, 543, 2021, 1867, 4743, 8449, 3811, 538, 2489, 267, 789, 4043, 547, 2268, 741, 1967, 676, 1114, 13452, 560, 6506, 563, 1103, 519, 5619, 267, 811, 2367, 630, 3953, 8472, 4718, 5763, 607, 606, 13525, 540, 1967, 982, 2021, 630, 2641, 22103, 1656, 811, 2021, 4718, 2348, 2614, 942, 585, 1920, 543, 2828, 607, 513, 10862, 630, 3583, 260, 540, 2021, 642, 4882, 476, 6812, 260, 540, 2367, 1916, 763, 2495, 540, 2724, 568, 849, 4008, 1532, 328, 1078, 630, 5719, 28852, 267, 681, 758, 21542, 267, 1299, 2725, 525, 651, 267, 476, 1220, 274, 1040, 9093, 945, 15093, 741, 2883, 3354, 585, 11928, 1516, 616, 2938, 1447, 3870, 2406, 676, 2486, 538, 6476, 547, 2367, 945, 2057, 713, 4123, 11325, 269, 630, 305, 580, 7714, 267, 476, 1960, 278, 1916, 18131, 945, 1185, 1500, 621, 547, 519, 1283, 540, 519, 4876, 15796, 1705, 711, 5097, 5581, 1967, 538, 2474, 540, 4876, 269, 5502, 267, 513, 3666, 630, 514, 1272, 264, 729, 2565, 269, 2560, 769, 4334, 267, 519, 2367, 941, 811, 2693, 547, 26654, 531, 1125, 4145, 585, 4876, 543, 2123, 9740, 689, 4145, 827, 3347, 23102, 31240, 9627, 29325, 651, 1299, 24697, 32298, 267, 476, 1220, 277, 454, 314, 1892, 1635, 519, 1259, 267, 798, 596, 917, 875, 547, 6300, 630, 6748, 2257, 264, 585, 5021, 8788, 286, 2639, 1432, 1772, 2659, 9502, 540, 11773, 888, 306, 15471, 814, 1082, 8847, 267, 855, 621, 568, 909, 547, 596, 547, 6430, 799, 835, 547, 946, 607, 707, 2123, 15040, 563, 306, 15471, 547, 803, 568, 3257, 1945, 602, 6770, 803, 7772, 543, 602, 594, 1416, 827, 269, 898, 849, 1797, 6679, 909, 547, 2591, 602, 948, 803, 547, 1332, 13948, 543, 24015, 267, 607, 1134, 607, 2247, 2685, 543, 16637, 1836, 269, 898, 568, 15962, 1866, 607, 1134, 607, 15962, 8885, 8449, 2529, 15471, 568, 711, 1175, 513, 2268, 540, 938, 2724, 267, 2990, 267, 610, 3310, 936, 1866, 267, 855, 849, 540, 875, 1454, 1852, 649, 723, 936, 938, 2729, 543, 938, 942, 269, 8437, 1677, 570, 11548, 454, 4131, 779, 798, 513, 2219, 4603, 281, 1548, 1131, 596, 798, 952, 596, 1185, 1100, 7182, 543, 1223, 1374, 707, 3501, 1554, 607, 596, 4941, 888, 2710, 596, 4952, 3054, 593, 513, 11824, 2515, 554, 2459, 1442, 693, 30148, 267, 3168, 909, 693, 519, 6634, 540, 6801, 607, 513, 9543, 30089, 9514, 338, 286, 1684, 596, 1294, 3054, 593, 519, 1283, 6989, 540, 519, 661, 858, 601, 18975, 267, 7244, 538, 5458, 2220, 12127, 540, 2011, 607, 596, 1796, 972, 3168, 1472, 538, 25713, 286, 2107, 1131, 596, 581, 7836, 606, 3003, 1554, 609, 707, 1920, 267, 4730, 609, 707, 5243, 543, 3214, 888, 763, 2601, 596, 1616, 547, 581, 3811, 568, 6140, 513, 1360, 2123, 1391, 269, 634, 2495, 540, 1967, 585, 707, 1920, 543, 2828, 786, 8428, 689, 16523, 282, 3398, 602, 269, 1306, 681, 26619, 1767, 912, 17606, 779, 707, 4155, 267, 543, 16523, 4805, 269, 11524, 949, 3802, 621, 609, 596, 267, 855, 1100, 835, 666, 3802, 621, 585, 596, 3034, 2662, 7241, 2306, 596, 1745, 6126, 568, 1018, 596, 1058, 1445, 593, 1101, 269, 3194, 2982, 18668, 1004, 616, 811, 2693, 547, 1491, 909, 1007, 3853, 538, 1272, 267, 799, 1287, 5012, 873, 547, 1967, 538, 1082, 824, 2127, 540, 741, 2729, 267, 543, 2306, 873, 1256, 18668, 563, 1892, 3367, 519, 20125, 3391, 547, 634, 8422, 6153, 12085, 2334, 654, 550, 4270, 543, 6318, 707, 8788, 1377, 563, 763, 9608, 9502, 2986, 11773, 912, 306, 15471, 568, 8236, 513, 3666, 538, 938, 14422, 269, 898, 568, 811, 982, 1175, 513, 2268, 540, 938, 2724, 267, 2990, 267, 610, 3310, 936, 1866, 269, 898, 568, 2713, 513, 7772, 995, 1272, 267, 1373, 5363, 547, 1866, 267, 13197, 6209, 3853, 267, 543, 7231, 609, 519, 3787, 1562, 11548, 8090, 609, 27497, 543, 6043, 563, 763, 10228, 9218, 11225, 1967, 607, 968, 1492, 26556, 540, 21239, 267, 5763, 267, 610, 1514, 4567, 1848, 634, 5839, 17524, 534, 8675, 3081, 713, 267, 968, 18455, 3811, 568, 899, 1373, 1164, 909, 3034, 3719, 649, 1745, 519, 1655, 2123, 4214, 540, 1967, 568, 713, 912, 2662, 7241, 707, 2085, 267, 602, 835, 1606, 27542, 4214, 540, 2123, 1967, 13978, 28033, 267, 1219, 3539, 519, 30635, 1137, 540, 942, 269, 898, 3762, 2614, 2230, 585, 2123, 14422, 2059, 609, 707, 1514, 543, 22686, 13800, 269, 898, 849, 23352, 519, 991, 547, 1265, 513, 1007, 4214, 2899, 596, 3035, 707, 1699, 3853, 543, 695, 28984, 707, 7375, 538, 1272, 269, 258, 306, 15471, 568, 8236, 513, 3666, 538, 938, 14422, 269, 634, 14960, 540, 1272, 543, 938, 5079, 693, 1022, 2016, 4090, 1689, 936, 519, 1296, 267, 855, 602, 4214, 540, 1967, 3788, 3020, 782, 998, 269, 8437, 1677, 570, 11548, 454, 12179, 4214, 540, 1967, 1590, 1331, 875, 1454, 1852, 649, 723, 936, 938, 2729, 543, 938, 942, 563, 3086, 267, 938, 14422, 538, 1272, 616, 2141, 606, 3235, 937, 545, 3575, 269, 1656, 865, 568, 519, 6653, 5544, 540, 938, 3666, 1063, 873, 269, 2334, 4214, 2188, 538, 519, 10347, 3666, 540, 14422, 538, 1142, 540, 938, 2729, 563, 2414, 835, 1268, 267, 519, 5223, 1063, 9164, 543, 2828, 1223, 1265, 513, 6653, 3666, 693, 476, 1789, 281, 3583, 269, 1280, 1776, 267, 29285, 267, 621, 1223, 3666, 856, 693, 476, 2004, 281, 2004, 269, 2334, 4214, 540, 1967, 24947, 519, 2043, 649, 616, 267, 543, 519, 3604, 649, 7703, 563, 763, 10848, 540, 1272, 543, 938, 5079, 693, 1142, 4090, 1832, 4657, 2429, 519, 1296, 267, 855, 713, 4214, 8952, 922, 8699, 3833, 16856, 563, 26170, 267, 3247, 585, 513, 4090, 543, 2307, 3054, 281, 1215, 798, 594, 5581, 1967, 286, 1548, 1281, 1967, 1611, 547, 803, 888, 10521, 32368, 1677, 11773, 769, 6355, 1299, 5020, 454, 763, 4922, 4371, 3661, 602, 1967, 568, 3908, 547, 1346, 609, 2067, 15421, 568, 513, 7242, 563, 9336, 1268, 568, 4535, 609, 513, 2189, 1305, 540, 15421, 602, 2636, 873, 513, 2027, 2702, 547, 1685, 1978, 4247, 24672, 269, 1717, 267, 621, 568, 711, 2614, 547, 581, 4535, 609, 9058, 5759, 547, 581, 3811, 269, 1323, 1055, 7308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 1920, 814, 1312, 8392, 2086, 1156, 545, 565, 799, 946, 568, 19275, 538, 1426, 3662, 2249, 1317, 621, 3123, 7329, 3930, 2106, 29386, 513, 27415, 17350, 269, 7579, 325, 21329, 565, 568, 513, 18960, 11140, 602, 1281, 711, 723, 713, 2427, 1198, 855, 666, 2014, 5642, 20768, 21109, 952, 1031, 585, 513, 3476, 1974, 540, 942, 269, 7579, 325, 21329, 565, 568, 1031, 538, 2220, 710, 547, 1852, 7929, 4713, 607, 2034, 11060, 11216, 563, 8196, 995, 6675, 547, 917, 538, 2220, 710, 4915, 912, 268, 25914, 2086, 1156, 545, 565, 9890, 1160, 3031, 1243, 547, 946, 538, 1426, 3662, 2249, 256, 2336, 9288, 2559, 1143, 540, 11059, 454, 288, 5404, 1156, 545, 11169, 12622, 547, 519, 476, 2004, 306, 1016, 22780, 540, 519, 10775, 25593, 543, 3247, 519, 1840, 540, 1007, 11254, 14092, 1749, 267, 32485, 3940, 10282, 563, 13425, 707, 1565, 281, 2549, 335, 1156, 545, 11169, 543, 11115, 1143, 540, 11059, 454, 288, 5404, 1156, 545, 11169, 616, 3376, 8552, 543, 616, 3608, 1996, 20659, 543, 26103, 12896, 1341, 543, 12896, 1107, 4551, 269, 1358, 666, 849, 581, 1031, 547, 1521, 29901, 21182, 2742, 24094, 269, 5563, 563, 293, 3271, 325, 21329, 565, 814, 513, 1434, 829, 15259, 6915, 822, 22355, 538, 2220, 710, 563, 288, 5404, 1156, 545, 11169, 616, 20188, 19729, 543, 616, 9243, 6675, 799, 1797, 602, 789, 723, 513, 1434, 4320, 3892, 269, 634, 21734, 5160, 5834, 568, 2147, 547, 11919, 5834, 269, 3958, 267, 789, 666, 1569, 2694, 540, 519, 1560, 602, 666, 581, 2352, 547, 3914, 971, 607, 6147, 15842, 17898, 1400, 610, 861, 2617, 658, 12862, 563, 2004, 260, 540, 1166, 21807, 21329, 565, 568, 608, 920, 1540, 24240, 538, 519, 10729, 269, 18001, 594, 543, 18001, 4083, 10307, 2049, 538, 519, 6797, 267, 4611, 538, 519, 5137, 540, 811, 1216, 30320, 6675, 602, 616, 608, 920, 1540, 538, 519, 10729, 563, 3725, 23983, 5642, 20768, 21109, 949, 4755, 952, 1166, 21807, 21329, 565, 568, 13950, 585, 513, 12675, 1974, 540, 942, 269, 17547, 4771, 519, 2126, 786, 2356, 9258, 519, 1198, 269, 3131, 1014, 531, 6553, 602, 666, 11457, 883, 513, 6439, 531, 7139, 8985, 814, 1044, 4767, 538, 2220, 710, 269, 901, 1198, 849, 7449, 1938, 950, 519, 2126, 568, 11074, 563, 2467, 616, 7864, 5706, 1734, 1996, 1166, 21807, 21329, 565, 982, 972, 616, 1996, 8392, 2086, 1156, 545, 565, 855, 930, 12896, 1107, 4551, 723, 1044, 1336, 547, 4163, 9842, 332, 1749, 609, 11259, 6090, 563, 763, 11006, 3135, 540, 18041, 1156, 545, 11169, 593, 519, 10775, 23865, 476, 2004, 306, 1016, 22780, 568, 4092, 2673, 547, 519, 11006, 3135, 585, 824, 17059, 15412, 10118, 971, 607, 5672, 1503, 1938, 543, 561, 4532, 657, 600, 1938, 269, 4475, 267, 6675, 689, 891, 21734, 3885, 1058, 711, 581, 2016, 693, 519, 1482, 942, 563, 763, 11506, 1942, 540, 1166, 21807, 21329, 565, 267, 2404, 609, 930, 540, 519, 2427, 2360, 971, 607, 6439, 531, 7139, 8985, 267, 814, 3908, 922, 946, 547, 519, 2034, 11060, 2126, 540, 2220, 710, 5563, 5103, 922, 3376, 8552, 543, 1434, 3892, 269, 0, 305, 17415, 585, 27060, 281, 634, 25166, 1841, 540, 10326, 31896, 454, 12914, 476, 1724, 267, 476, 1708, 274, 476, 1015, 281, 4649, 281, 3393, 7537, 1315, 676, 717, 3424, 307, 4181, 454, 7069, 25130, 267, 513, 2197, 12021, 585, 922, 3638, 9265, 543, 10875, 8916, 267, 568, 4867, 6849, 2825, 2591, 602, 28173, 7525, 2962, 269, 1306, 519, 4182, 12066, 956, 609, 17717, 267, 3037, 11761, 267, 543, 519, 5222, 540, 2916, 1689, 267, 972, 568, 513, 3395, 991, 547, 29915, 622, 922, 2067, 2200, 269, 31896, 4054, 568, 519, 1883, 547, 26016, 2358, 519, 2197, 781, 1604, 543, 4346, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 7415, 2640, 540, 9544, 4054, 538, 27060, 543, 875, 596, 666, 1118, 513, 2318, 1764, 676, 7311, 585, 938, 14828, 547, 1489, 891, 4105, 7341, 563, 763, 5682, 744, 12118, 538, 27060, 912, 7069, 25130, 781, 18932, 7733, 723, 1044, 513, 2707, 540, 17612, 543, 32351, 585, 5481, 269, 1452, 7733, 1489, 513, 3309, 2039, 540, 18508, 543, 21426, 543, 616, 2629, 585, 4509, 519, 8733, 3666, 269, 1717, 267, 10363, 19883, 543, 17717, 723, 1044, 15723, 1154, 891, 17170, 2200, 269, 634, 957, 540, 9544, 4054, 538, 27060, 3091, 1896, 1713, 5383, 912, 268, 14600, 12720, 540, 8693, 7827, 281, 19029, 957, 607, 3327, 29826, 267, 21716, 3327, 8166, 689, 519, 5790, 269, 1635, 9544, 4054, 267, 596, 2047, 3565, 547, 19086, 2916, 1689, 267, 4227, 2518, 8337, 267, 543, 17420, 519, 4541, 585, 2104, 5481, 563, 268, 14606, 11094, 281, 634, 5072, 540, 4054, 948, 2061, 3037, 11761, 267, 3226, 538, 554, 11035, 4525, 540, 27060, 269, 901, 711, 1152, 14014, 3407, 3484, 4133, 855, 849, 15387, 1216, 2298, 538, 8933, 543, 12535, 563, 268, 26085, 27264, 281, 27060, 568, 1753, 547, 513, 5318, 5044, 540, 2189, 543, 13155, 2249, 269, 10326, 9544, 3646, 948, 547, 18359, 891, 8134, 543, 2149, 519, 3638, 9265, 1369, 519, 2197, 563, 268, 9483, 12618, 281, 634, 26216, 543, 6683, 9922, 616, 1713, 20334, 547, 27060, 781, 4346, 269, 10326, 9544, 666, 12954, 2804, 2208, 676, 2870, 6009, 267, 5885, 4264, 24454, 267, 543, 4180, 513, 6024, 3761, 540, 16025, 543, 1875, 2389, 574, 828, 4104, 2472, 563, 268, 7991, 4270, 5630, 281, 19029, 1683, 3407, 2200, 585, 2199, 2950, 267, 971, 607, 5613, 267, 10808, 267, 543, 16392, 2371, 269, 31896, 4054, 16877, 2199, 2950, 547, 3986, 741, 1134, 5630, 543, 2569, 741, 13829, 593, 5667, 20980, 2853, 563, 28274, 585, 6182, 1218, 547, 5269, 513, 16338, 912, 2414, 5000, 3529, 9544, 538, 27060, 543, 1489, 891, 862, 754, 762, 3646, 267, 938, 13539, 3091, 14828, 543, 7616, 3255, 269, 1284, 3494, 538, 519, 1379, 540, 7104, 2962, 267, 543, 649, 16436, 14540, 547, 4019, 585, 938, 14828, 547, 2417, 519, 2014, 540, 556, 16396, 563, 5522, 13589, 4054, 538, 27060, 568, 711, 1175, 827, 5726, 282, 621, 781, 827, 17516, 513, 4264, 2104, 585, 519, 2197, 543, 922, 1004, 269, 1635, 7311, 585, 14828, 689, 717, 3424, 307, 4181, 267, 596, 666, 581, 851, 540, 713, 15626, 14365, 712, 269, 8625, 267, 649, 666, 3142, 827, 2318, 1689, 267, 835, 3529, 693, 513, 942, 267, 543, 2327, 602, 27060, 781, 2067, 5898, 679, 706, 637, 585, 5481, 547, 2097, 269, 15012, 721, 538, 1818, 513, 3017, 2221, 676, 7311, 585, 513, 9886, 543, 4742, 513, 12403, 731, 540, 27060, 781, 3039, 2104, 269, 8625, 267, 649, 666, 2981, 27060, 883, 513, 3039, 522, 12118, 602, 2640, 1312, 519, 1604, 543, 922, 1004, 269, 0, 292, 548, 11244, 1920, 538, 19264, 846, 2993, 2817, 5244, 267, 15057, 454, 15100, 594, 3630, 29538, 2672, 3873, 667, 8538, 550, 270, 7476, 1399, 12005, 454, 292, 548, 17100, 538, 19264, 846, 2993, 2817, 5244, 267, 15057, 454, 18455, 519, 4102, 2244, 2831, 593, 3047, 267, 3979, 19246, 1765, 13678, 1791, 569, 547, 741, 7489, 14077, 1765, 19651, 9058, 7907, 538, 741, 5920, 543, 19326, 269, 2368, 2090, 7000, 267, 585, 1383, 267, 602, 19246, 666, 21028, 2933, 538, 519, 11604, 282, 602, 4816, 19246, 1689, 741, 1101, 1305, 540, 512, 639, 802, 543, 4522, 282, 610, 602, 891, 11864, 4159, 4664, 971, 607, 16236, 950, 9561, 741, 1920, 2818, 269, 634, 1592, 540, 9670, 543, 8748, 5013, 568, 2760, 268, 2056, 269, 1809, 19890, 267, 972, 568, 849, 513, 1592, 540, 7965, 602, 891, 2831, 3068, 267, 971, 607, 1093, 2286, 543, 7226, 2530, 269, 634, 19264, 846, 2993, 2817, 5244, 538, 15057, 1765, 3602, 713, 8523, 729, 3144, 28934, 835, 540, 519, 1906, 6967, 9249, 1141, 3979, 17707, 31459, 666, 1869, 581, 1336, 538, 1804, 2338, 269, 0, 27026, 645, 6790, 696, 19905, 630, 294, 7034, 264, 568, 513, 24245, 30564, 19800, 8051, 585, 513, 5916, 3368, 513, 2929, 7972, 543, 1869, 321, 597, 2195, 12422, 269, 634, 1034, 1455, 2707, 540, 19341, 610, 30564, 717, 7034, 4598, 568, 519, 14774, 26168, 269, 717, 7034, 12623, 9154, 5597, 3935, 3278, 519, 16063, 543, 21420, 11940, 6242, 540, 476, 272, 538, 476, 276, 2043, 11451, 267, 4352, 922, 5730, 1909, 538, 891, 12137, 1127, 568, 711, 1134, 6956, 269, 1677, 2061, 7299, 6771, 267, 3376, 1606, 1051, 5300, 11216, 616, 13950, 547, 717, 7034, 25698, 11299, 1282, 4074, 538, 1082, 2477, 269, 4014, 11216, 723, 3648, 4389, 717, 7034, 2038, 268, 976, 564, 30564, 2068, 267, 972, 616, 1896, 26516, 4539, 267, 1519, 606, 12012, 30564, 26168, 543, 2799, 1981, 585, 824, 15451, 5563, 269, 3958, 267, 519, 11841, 540, 3735, 268, 976, 564, 717, 7034, 30564, 2068, 3788, 19448, 26327, 543, 814, 17275, 606, 6932, 8367, 602, 717, 7034, 2173, 2222, 2041, 4205, 538, 3384, 30564, 8937, 26168, 949, 581, 2047, 3238, 538, 713, 2068, 1184, 269, 901, 2689, 26564, 938, 1699, 1620, 540, 717, 7034, 4205, 609, 824, 17055, 17973, 693, 519, 11940, 657, 531, 2627, 689, 2789, 7285, 267, 1519, 4791, 7681, 2090, 267, 6683, 543, 29867, 7422, 267, 543, 8097, 3662, 2203, 1949, 269, 1284, 849, 1331, 513, 3102, 2689, 540, 538, 20117, 4681, 540, 717, 7034, 4205, 609, 824, 9190, 543, 16507, 17973, 267, 1312, 862, 839, 531, 543, 23633, 267, 2059, 609, 9241, 3964, 3662, 3631, 540, 717, 7034, 21420, 17091, 543, 538, 14685, 334, 610, 30564, 3968, 269, 7053, 267, 649, 1683, 513, 5133, 593, 6932, 2127, 540, 1382, 543, 1699, 2994, 547, 1374, 2890, 2041, 2389, 1173, 7566, 840, 25027, 610, 32714, 9354, 6304, 2994, 547, 2061, 717, 7034, 2068, 538, 7925, 5095, 563, 21292, 281, 6790, 696, 19905, 989, 531, 716, 23706, 282, 1895, 645, 6790, 696, 19905, 282, 2890, 2041, 2173, 2222, 2041, 4205, 282, 32714, 282, 21420, 26168, 269, 0, 12749, 476, 1015, 29055, 16639, 2334, 3657, 6153, 585, 2659, 11020, 1107, 4855, 519, 6301, 476, 1015, 5253, 2959, 2334, 700, 3424, 24583, 1962, 636, 4270, 7424, 543, 10076, 7167, 1464, 267, 29179, 27284, 4675, 6123, 547, 5455, 326, 24612, 15350, 267, 24517, 1674, 267, 543, 10076, 13068, 1145, 3034, 7072, 547, 11020, 5174, 334, 24031, 16639, 454, 5978, 6147, 1962, 636, 568, 513, 8748, 1418, 602, 3340, 16048, 32351, 547, 23679, 960, 269, 769, 713, 1164, 3432, 1158, 267, 5329, 909, 609, 2790, 8171, 814, 1831, 24482, 11358, 269, 18641, 267, 1978, 3536, 666, 6923, 948, 2087, 2790, 1072, 543, 2634, 1599, 269, 901, 3391, 786, 2007, 883, 519, 1292, 476, 1015, 2247, 5885, 1426, 8677, 267, 14547, 538, 4909, 9360, 267, 1591, 12927, 906, 267, 543, 15060, 268, 274, 5667, 18260, 9600, 269, 1452, 15988, 797, 338, 267, 799, 2039, 689, 10808, 543, 4158, 21364, 16719, 547, 30207, 543, 9761, 3165, 267, 2709, 3875, 5383, 971, 607, 4824, 7099, 267, 3965, 267, 543, 5834, 269, 1411, 666, 1489, 543, 2087, 707, 2634, 1072, 676, 1519, 891, 2634, 28967, 24031, 3536, 538, 707, 2732, 267, 4611, 538, 513, 17321, 543, 5857, 704, 2247, 563, 29604, 268, 274, 6762, 12551, 454, 29604, 268, 274, 11656, 3165, 899, 13687, 267, 5672, 651, 7758, 267, 543, 521, 731, 1149, 616, 1390, 585, 519, 2634, 269, 9022, 6242, 28411, 320, 523, 18757, 3679, 630, 291, 11190, 1070, 606, 1898, 15060, 268, 274, 9761, 3679, 585, 2634, 1072, 267, 568, 10731, 538, 873, 269, 667, 11190, 17648, 513, 4909, 851, 538, 5885, 2790, 12588, 267, 3965, 267, 543, 676, 543, 1804, 2790, 1072, 269, 16453, 13345, 540, 891, 3165, 666, 948, 16102, 1996, 2085, 5829, 2790, 21324, 543, 949, 2119, 543, 2539, 519, 13708, 1076, 540, 31895, 17654, 19210, 525, 899, 12216, 779, 269, 5457, 532, 15060, 268, 274, 3638, 3165, 585, 707, 4189, 6296, 666, 581, 513, 29316, 543, 3811, 1505, 585, 8023, 707, 2247, 543, 4434, 2790, 13884, 563, 301, 7491, 543, 25994, 585, 11020, 2657, 454, 301, 7491, 543, 5452, 267, 899, 30646, 267, 890, 322, 753, 267, 30485, 572, 2644, 267, 543, 669, 807, 5452, 267, 616, 6147, 1962, 636, 5885, 4229, 547, 581, 22672, 19861, 609, 269, 1358, 616, 726, 550, 3814, 538, 9360, 899, 6171, 661, 267, 2860, 6604, 8069, 267, 543, 4909, 5667, 18260, 9600, 267, 782, 540, 799, 25380, 2247, 8171, 269, 14856, 891, 1426, 8677, 22991, 949, 2417, 1020, 3965, 267, 2790, 12588, 267, 543, 16102, 1996, 2790, 21324, 269, 4256, 5363, 543, 8465, 2470, 2306, 621, 2241, 547, 11753, 10808, 543, 5452, 883, 707, 4948, 4189, 20786, 267, 5356, 513, 17175 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4541, 781, 5790, 543, 14679, 883, 9018, 2230, 269, 5637, 5686, 2154, 5969, 12967, 2029, 543, 5647, 547, 2327, 3106, 543, 4398, 780, 2162, 2608, 3963, 1772, 519, 17224, 18209, 12752, 12830, 286, 5257, 22177, 2791, 1522, 1589, 602, 2324, 593, 1919, 602, 8038, 568, 1175, 3579, 267, 855, 972, 781, 1454, 811, 547, 621, 982, 602, 256, 634, 23825, 2872, 8309, 3648, 547, 1585, 3344, 540, 1272, 267, 2486, 267, 543, 4346, 269, 1280, 1383, 267, 1705, 596, 917, 602, 1082, 4948, 2472, 941, 7620, 2919, 585, 946, 538, 8484, 543, 14361, 286, 2368, 1455, 3688, 1331, 3965, 17371, 267, 15072, 15033, 14485, 267, 1216, 22729, 1949, 267, 5841, 17873, 267, 543, 3859, 8440, 269, 1924, 1247, 2870, 9735, 10760, 6191, 267, 8030, 1419, 3605, 5499, 3435, 10858, 11992, 2439, 13010, 267, 519, 23825, 2872, 2488, 3875, 6009, 5001, 267, 6117, 2804, 2208, 269, 3958, 267, 621, 4249, 513, 2565, 1909, 538, 3621, 1382, 543, 3084, 3354, 676, 4543, 721, 1174, 3047, 781, 2916, 267, 5464, 2067, 12469, 267, 5885, 2518, 2792, 5121, 267, 543, 4180, 1857, 3106, 780, 2971, 2608, 257, 5804, 5556, 331, 9593, 919, 547, 26192, 268, 25440, 281, 257, 1323, 7151, 540, 7827, 538, 6355, 15613, 20330, 5785, 14343, 15365, 19968, 525, 3006, 991, 547, 3082, 741, 2994, 1759, 593, 2773, 267, 2344, 3466, 267, 543, 20090, 6788, 269, 589, 2487, 1383, 2501, 689, 4937, 11272, 630, 12283, 1070, 2899, 2808, 3013, 781, 1034, 7986, 598, 6921, 558, 4733, 269, 3683, 942, 267, 23817, 1185, 4213, 17364, 2789, 6080, 899, 8654, 267, 14233, 267, 8804, 267, 3782, 4066, 267, 1648, 1949, 267, 543, 15191, 9817, 269, 1717, 267, 1813, 547, 930, 2591, 5185, 1282, 519, 476, 1220, 271, 338, 267, 519, 3375, 729, 1500, 547, 1445, 9003, 593, 1808, 2127, 3079, 540, 5883, 3309, 4238, 780, 2026, 5018, 4505, 267, 23817, 729, 3238, 538, 1818, 15191, 9817, 1107, 513, 10126, 1572, 23817, 28645, 269, 1635, 14045, 547, 13404, 1152, 593, 23825, 543, 8878, 9922, 267, 23817, 4566, 547, 2981, 3294, 883, 1412, 12283, 17224, 18209, 10086, 4742, 513, 6131, 6345, 538, 891, 4610, 269, 7767, 832, 3100, 9599, 827, 713, 6521, 267, 3056, 547, 2799, 2671, 5777, 543, 27277, 2509, 519, 2104, 780, 1607, 1383, 9727, 875, 3549, 4188, 741, 1870, 3631, 2687, 547, 4657, 6381, 543, 3255, 269, 29760, 593, 4295, 9342, 2636, 873, 547, 14133, 543, 2743, 6075, 2115, 1732, 780, 3086, 602, 649, 4312, 8268, 519, 9238, 540, 519, 23825, 2872, 543, 2938, 606, 4277, 2013, 1353, 5473, 4937, 11272, 267, 594, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 713, 9159, 5823, 256, 9320, 835, 1554, 267, 596, 1223, 3565, 547, 14027, 18229, 610, 2230, 3408, 267, 7432, 9909, 883, 4641, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14197, 11272, 630, 12283, 264, 568, 3728, 16042, 519, 1439, 540, 519, 2196, 3118, 607, 606, 11599, 1977, 598, 6921, 558, 4733, 269, 589, 811, 521, 767, 974, 543, 5059, 23817, 568, 8600, 547, 1491, 1055, 538, 513, 1007, 4287, 2443, 607, 23817, 17224, 18209, 267, 513, 6986, 25178, 18229, 543, 8878, 6006, 563, 20059, 832, 616, 865, 2484, 1750, 1359, 519, 1689, 269, 23817, 6006, 5734, 513, 1007, 1164, 4873, 476, 1789, 543, 814, 865, 1563, 476, 6924, 260, 538, 476, 1708, 274, 865, 2484, 267, 1310, 18343, 856, 922, 23817, 16195, 16370, 630, 12283, 18449, 264, 1770, 607, 513, 5094, 2754, 3735, 2063, 1032, 269, 1656, 23817, 18449, 6006, 814, 6172, 5523, 476, 3393, 260, 2094, 922, 3967, 269, 476, 275, 26813, 563, 763, 8237, 11325, 540, 23817, 779, 1379, 22831, 1770, 267, 31996, 13960, 267, 568, 1305, 585, 2038, 476, 1708, 275, 269, 898, 786, 4734, 513, 1863, 29280, 23817, 17224, 18209, 543, 3142, 519, 4853, 9649, 779, 1279, 543, 6946, 1964, 31382, 547, 513, 2673, 563, 5629, 23817, 729, 1634, 607, 519, 10700, 598, 6921, 558, 4733, 267, 609, 922, 11263, 538, 3388, 689, 1769, 15620, 267, 14023, 2209, 543, 11067, 6191, 547, 2923, 267, 9913, 267, 2883, 2533, 267, 1648, 1949, 543, 15191, 9817, 269, 1809, 538, 519, 476, 1220, 271, 338, 267, 519, 593, 8135, 5182, 6006, 5734, 1896, 15942, 267, 1519, 606, 476, 10695, 260, 1793, 2794, 689, 476, 1001, 277, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 518, 18209, 12752, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17520, 4713, 616, 1851, 519, 1034, 1455, 2790, 1072, 2152, 4810, 676, 1453, 543, 10708, 269, 1452, 4713, 666, 3648, 1764, 513, 1762, 1268, 781, 3232, 1272, 267, 7679, 1359, 609, 741, 2702, 547, 7390, 1153, 267, 1106, 3347, 267, 543, 4497, 538, 2238, 789, 2972, 269, 769, 713, 3184, 267, 649, 786, 2263, 4160, 4713, 538, 1453, 543, 10708, 267, 9878, 1880, 3007, 547, 519, 1909, 540, 5855, 543, 922, 1764, 593, 8404, 543, 2623, 780, 5575, 267, 621, 568, 1898, 547, 1174, 1018, 4160, 568, 543, 875, 621, 28107, 538, 1453, 269, 4340, 547, 519, 1977, 5369, 12278, 5948, 267, 4160, 568, 6353, 676, 4606, 540, 4250, 267, 10462, 267, 543, 31536, 542, 827, 519, 2104, 269, 2755, 930, 1377, 540, 4160, 568, 513, 2067, 851, 540, 3395, 909, 267, 7050, 5855, 543, 21084, 5615, 666, 581, 22566, 540, 606, 4160, 4524, 780, 3080, 971, 4524, 568, 4937, 1242, 17520, 13081, 630, 294, 4696, 1070, 799, 568, 6353, 676, 10770, 543, 7050, 5855, 827, 1585, 3344, 540, 1272, 269, 5753, 609, 717, 4696, 949, 5855, 23494, 827, 741, 2773, 538, 1153, 267, 741, 3347, 609, 9905, 267, 543, 741, 3106, 543, 8171, 269, 901, 3586, 1533, 540, 5855, 666, 1291, 547, 1713, 15717, 538, 8647, 267, 1519, 7965, 23622, 267, 12008, 267, 543, 2502, 538, 4948, 2238, 780, 5194, 1826, 540, 4160, 4524, 602, 5540, 1453, 543, 10708, 568, 4317, 17520, 13081, 630, 306, 4696, 1040, 590, 4696, 568, 6353, 676, 7920, 4250, 610, 4160, 3823, 1514, 3871, 267, 3226, 1346, 538, 799, 519, 1367, 949, 581, 24565, 610, 29506, 1242, 676, 1866, 269, 5753, 609, 590, 4696, 949, 2057, 1514, 4205, 15587, 267, 3056, 547, 10072, 543, 20420, 780, 3383, 1946, 798, 930, 1453, 1995, 7050, 5855, 543, 4160, 1247, 1866, 798, 711, 286, 2290, 3815, 602, 814, 1044, 5532, 547, 4160, 4713, 538, 1453, 568, 29525, 269, 3194, 5267, 602, 1978, 7209, 7592, 267, 971, 607, 21183, 1145, 543, 22629, 267, 949, 2333, 513, 1126, 781, 13438, 547, 3384, 606, 4160, 4524, 269, 3958, 267, 2825, 2188, 267, 971, 607, 15366, 8456, 543, 5615, 267, 666, 3565, 547, 519, 1646, 543, 5826, 540, 4160, 2589, 269, 1280, 1383, 267, 3237, 945, 2203, 14221, 5615, 610, 945, 4431, 547, 741, 1126, 781, 11605, 609, 936, 2889, 339, 1254, 610, 15260, 4269, 949, 16662, 1549, 958, 12927, 14221, 3206, 3270, 543, 21084, 5615, 780, 3086, 1577, 721, 2132, 547, 519, 1523, 540, 5855, 543, 922, 1764, 593, 8404, 543, 2623, 269, 1306, 5018, 4505, 267, 7050, 5855, 666, 15936, 609, 513, 1126, 781, 2702, 547, 13404, 543, 1445, 269, 1879, 7683, 840, 31039, 609, 19048, 543, 12194, 267, 513, 1126, 949, 6560, 547, 2347, 4247, 610, 2743, 4081, 6788, 269, 5047, 267, 5855, 666, 11874, 1860, 513, 1126, 781, 1582, 12635, 543, 6015, 267, 1818, 873, 1447, 2693, 547, 1491, 4220, 610, 2119, 1007, 1919, 269, 3683, 942, 267, 713, 4806, 540, 21084, 666, 3970, 513, 1126, 781, 3255, 585, 2208, 543, 1565, 780, 1103, 1840, 547, 7133, 8404, 543, 2623, 267, 5855, 666, 849, 723, 2168, 4539, 269, 18127, 5855, 814, 1044, 5532, 547, 2799, 2566, 10399, 267, 971, 607, 23280, 267, 799, 666, 1291, 547, 14331, 267, 7181, 2851, 267, 543, 824, 30717, 20286, 269, 5015, 267, 1382, 5267, 602, 12675, 4598, 547, 2566, 10399, 666, 14207, 4761, 1062, 1599, 267, 6028, 513, 1126, 7925, 547, 4576, 780, 21675, 585, 4160, 4713, 538, 1453, 3335, 3322, 5042, 15515, 24173, 3797, 630, 30274, 1070, 6646, 267, 610, 513, 4999, 540, 1312, 269, 24399, 568, 513, 9354, 1935, 602, 6212, 593, 4657, 2942, 2219, 3270, 543, 32277, 28922, 5615, 2404, 609, 4160, 269, 3414, 24399, 267, 1453, 1451, 12003, 1983, 267, 971, 607, 11005, 2553, 543, 1966, 9010, 2994, 267, 602, 948, 873, 4383, 741, 4160, 543, 2569, 21084, 5615, 269, 2405, 1709, 267, 971, 607, 16496, 22515, 556, 340, 696, 820, 20127, 630, 7704, 305, 3674, 1070, 666, 849, 581, 2500, 538, 4227, 4160, 2589, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 6646, 1058, 2141, 581, 1031, 538, 14966, 609, 21911, 543, 896, 519, 2673, 15569, 540, 513, 11727, 3782, 8502, 780, 21122, 2069, 543, 9525, 616, 2565, 3334, 540, 3811, 2126, 4093, 269, 14268, 1404, 513, 2629, 1909, 538, 4543, 741, 1126, 2697, 543, 4161, 14221, 4555, 543, 8716, 873, 547, 3068, 21787, 3871, 7930, 269, 1635, 2324, 29050, 609, 2790, 1072, 4648, 267, 3237, 666, 1489, 741, 1126, 781, 3356, 2509, 6051, 543, 3895, 1279, 3856, 6043, 780, 14483, 3466, 538, 519, 2361, 540, 1126, 543, 15730, 6530, 2303, 602, 972, 568, 2810, 6284, 540, 519, 2956, 540, 2038, 6304, 543, 6604, 3646, 269, 3427, 2861, 3292, 6322, 693, 5009, 3929, 8171, 543, 3450, 12003, 1983, 616, 4742, 811, 11342, 267, 609, 9621, 2164, 269, 1280, 1383, 267, 513, 1353, 3370, 538, 519, 4750, 540, 31173, 543, 11916, 10017, 1336, 602, 513, 4928, 2861, 24399, 1982, 729, 2500, 538, 4227, 4160, 2589, 538, 10026, 1153, 1453, 269, 6270, 7341, 3180, 1390, 9153, 585, 5355, 519, 2729, 540, 9118, 1453, 543, 10708, 10010, 609, 4160, 4713, 780, 18600, 8996, 3156, 540, 519, 2035, 5941, 538, 713, 3184, 32736, 269, 11334, 267, 19393, 267, 543, 824, 6107, 3401, 666, 1404, 513, 4105, 1909, 538, 7114, 4191, 540, 4160, 538, 1453, 543, 3246, 3617, 3277, 23552, 585, 4879, 543, 2126, 269, 3958, 267, 3237, 666, 2936, 2994, 547, 3895, 2635, 12003, 6127, 543, 1628, 6043, 538, 741, 1453, 269, 18964, 1930, 2792, 267, 9781, 13261, 6114, 547, 2566, 267, 543, 5807, 513, 11215, 1753, 1604, 616, 782, 1883, 2609, 540, 513, 3102, 1935, 547, 5883, 6689, 4160, 780, 1103, 3932, 267, 4160, 4713, 616, 513, 1713, 1857, 1072, 6161, 267, 7133, 6634, 540, 1453, 543, 10708, 5001, 269, 28246, 5855, 543, 21084, 5615, 666, 723, 2484, 23568, 6286, 585, 513, 1126, 781, 2949, 8171, 267, 18363, 2789, 11890, 540, 8647, 269, 4197, 519, 1950, 16799, 1063, 5855, 267, 8404, 267, 543, 2623, 568, 1898, 585, 2790, 1072, 4648, 267, 7855, 267, 543, 15637, 5275, 547, 1489, 519, 3929, 8171, 540, 938, 4182, 781, 6107, 269, 2060, 4797, 1382, 267, 5647, 267, 543, 5698, 267, 649, 666, 11441, 2509, 513, 17321, 2104, 1141, 1169, 1126, 814, 1569, 547, 2963, 2861, 5574, 543, 2200, 2556, 585, 6099, 2208, 543, 1646, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 723, 2854, 4930, 585, 7270, 267, 17476, 543, 3377, 24393, 269, 3509, 540, 873, 616, 11540, 2630, 269, 8437, 610, 7148, 519, 968, 15200, 892, 12835, 547, 4228, 1142, 6221, 563, 11514, 25068, 281, 9669, 543, 5796, 538, 891, 4930, 616, 585, 21141, 5301, 1152, 269, 1358, 616, 711, 5497, 547, 2232, 2043, 685, 1808, 6381, 267, 6862, 607, 513, 12990, 585, 2790, 1072, 2126, 563, 5804, 1250, 6241, 267, 968, 4002, 2659, 9650, 892, 538, 10610, 1299, 9650, 18225, 630, 1220, 278, 268, 1001, 274, 994, 300, 582, 10474, 543, 2623, 454, 1692, 547, 9101, 519, 20468, 4783, 454, 6701, 596, 513, 5312, 702, 8175, 286, 1684, 4555, 16111, 2196, 998, 707, 2247, 827, 3388, 602, 1223, 979, 4636, 267, 1256, 1498, 596, 917, 789, 2461, 711, 2693, 547, 4755, 888, 30999, 553, 1308, 20468, 827, 1761, 2042, 568, 3339, 269, 3776, 12058, 616, 29040, 547, 1589, 827, 519, 2104, 543, 1544, 9935, 269, 1809, 1932, 1454, 20468, 568, 4831, 335, 8793, 269, 1411, 2461, 1447, 2111, 547, 13404, 543, 1445 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2450, 543, 2681, 540, 513, 13131, 1352, 814, 2938, 538, 519, 11824, 269, 898, 568, 835, 540, 519, 4778, 6960, 270, 18872, 270, 13582, 543, 835, 540, 519, 7306, 476, 3374, 270, 3393, 270, 4649, 780, 2252, 621, 941, 711, 3039, 610, 952, 621, 941, 711, 540, 3259, 476, 3374, 621, 568, 476, 4649, 563, 2252, 621, 941, 711, 3109, 610, 952, 621, 941, 711, 540, 3259, 476, 3393, 621, 568, 476, 4649, 563, 2252, 621, 941, 711, 3109, 610, 952, 621, 941, 711, 540, 3259, 476, 3374, 621, 568, 476, 4649, 780, 320, 264, 1548, 568, 519, 2681, 540, 519, 13131, 888, 321, 264, 1548, 568, 519, 3259, 540, 519, 13131, 2496, 9172, 281, 513, 264, 6960, 536, 264, 476, 4649, 692, 3953, 264, 589, 812, 729, 593, 1010, 1259, 547, 513, 7365, 538, 513, 1286, 609, 513, 3586, 3432, 269, 2991, 476, 273, 3108, 835, 540, 519, 512, 1512, 568, 14047, 3293, 543, 621, 3576, 476, 1015, 3764, 547, 5372, 621, 269, 2991, 602, 789, 14612, 609, 513, 3432, 540, 476, 1789, 5195, 10774, 337, 543, 6603, 519, 7365, 476, 1789, 3764, 3735, 547, 519, 16516, 942, 269, 634, 9920, 5143, 602, 789, 1131, 581, 3735, 676, 476, 1428, 3764, 1152, 952, 519, 476, 1015, 3764, 729, 711, 3653, 269, 4855, 519, 3845, 1063, 519, 1079, 10034, 2496, 3451, 264, 8422, 23234, 1141, 1305, 547, 3020, 942, 269, 3689, 2196, 609, 519, 3169, 942, 269, 5822, 25815, 835, 8792, 27473, 269, 12059, 12374, 835, 8792, 27473, 269, 2991, 875, 1082, 2395, 789, 786, 1397, 3020, 942, 780, 4097, 264, 1703, 941, 930, 11149, 540, 7274, 476, 272, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 1321, 267, 476, 1428, 267, 476, 2420, 267, 476, 2190, 267, 476, 4343, 20990, 269, 3962, 729, 4904, 609, 930, 5277, 4849, 835, 269, 634, 15559, 616, 5144, 267, 1216, 543, 3282, 269, 10829, 640, 540, 1142, 729, 899, 713, 269, 4826, 815, 476, 273, 265, 5144, 3282, 815, 476, 273, 265, 1216, 269, 4855, 856, 799, 8708, 729, 8900, 543, 11149, 4904, 609, 5144, 543, 3282, 780, 3374, 264, 5565, 17631, 267, 835, 609, 476, 5038, 29054, 540, 9174, 267, 824, 609, 476, 736, 29054, 540, 9174, 269, 1358, 1810, 1406, 723, 2614, 2724, 547, 2628, 10279, 585, 519, 1482, 269, 3689, 2951, 518, 17188, 476, 2412, 21473, 14369, 543, 3947, 1010, 476, 276, 29054, 267, 5822, 2951, 518, 3947, 1010, 476, 273, 29054, 855, 4991, 476, 2412, 21473, 14369, 538, 5385, 269, 1548, 779, 1871, 540, 1142, 22902, 267, 543, 10279, 585, 1142, 22902, 2496, 9172, 281, 10025, 540, 1142, 22902, 268, 6344, 21473, 14369, 267, 667, 14280, 593, 1142, 268, 1015, 21473, 14369, 692, 3607, 264, 1548, 568, 7788, 779, 6935, 609, 1200, 9393, 779, 3993, 779, 1152, 8250, 2987, 25237, 779, 11078, 779, 9393, 2496, 9172, 281, 19656, 2987, 25237, 692, 4391, 264, 2368, 18560, 8066, 513, 4837, 540, 9174, 538, 1010, 1688, 3168, 1472, 538, 519, 4055, 3081, 267, 968, 1607, 568, 1482, 607, 621, 729, 2185, 1296, 3516, 267, 875, 2025, 616, 707, 1079, 3214, 1631, 9495, 4033, 18560, 3081, 968, 16248, 1631, 267, 31656, 1185, 835, 811, 538, 519, 29285, 1848, 31656, 3081, 267, 968, 2252, 596, 9062, 741, 6502, 267, 2626, 568, 476, 9834, 543, 952, 596, 1039, 519, 6502, 540, 1101, 1079, 3214, 267, 1840, 568, 1482, 607, 938, 2777, 1297, 1848, 634, 1101, 18560, 3081, 267, 968, 2791, 616, 1360, 5100, 855, 602, 3085, 1406, 2995, 803, 741, 6502, 1848, 31656, 3081, 267, 968, 2005, 779, 1360, 2241, 267, 1175, 1589, 1848, 1548, 616, 519, 6502, 540, 1614, 3214, 2496, 9172, 281, 476, 279, 267, 476, 277, 267, 476, 273, 692, 4343, 264, 589, 5179, 7814, 626, 16045, 540, 513, 5198, 3081, 968, 2171, 22755, 609, 519, 3432, 540, 476, 1015, 5195, 606, 5662, 835, 1259, 267, 855, 1247, 13059, 1317, 540, 1447, 6808, 649, 22755, 593, 519, 1482, 8905, 609, 476, 1428, 5195, 829, 5662, 1848, 1548, 729, 741, 3328, 3432, 538, 519, 2898, 3460, 2496, 9172, 281, 476, 1321, 5195, 829, 5662, 692, 4375, 264, 9717, 1739, 5311, 267, 1265, 519, 1985, 2165, 538, 519, 3126, 1384, 9217, 264, 476, 271, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1321, 267, 476, 1321, 267, 476, 736, 267, 476, 1626, 267, 12223, 5775, 281, 476, 1321, 692, 23870, 264, 476, 274, 267, 476, 277, 267, 476, 1724, 267, 476, 2918, 267, 476, 3451, 267, 476, 5780, 267, 31233, 5775, 281, 476, 7871, 692, 2412, 264, 8422, 5561, 1616, 688, 1844, 583, 543, 513, 695, 1511, 269, 769, 513, 2892, 3019, 267, 1079, 3046, 1499, 7500, 693, 1482, 3432, 269, 1358, 1491, 10116, 540, 606, 5662, 585, 519, 688, 1844, 583, 543, 476, 276, 25008, 585, 519, 695, 1511, 269, 1215, 3533, 666, 789, 9096, 519, 688, 1844, 583, 543, 695, 1511, 540, 891, 1614, 5561, 2496, 9172, 281, 476, 1789, 3764, 692, 6078, 264, 589, 6300, 24010, 15055, 547, 6582, 543, 30337, 1010, 4015, 540, 22827, 269, 1261, 2855, 5190, 873, 3006, 538, 6292, 267, 3006, 538, 22753, 540, 1614, 267, 3006, 538, 22753, 540, 2185, 338, 267, 12212, 538, 22753, 540, 535, 1161, 543, 3670, 525, 269, 5272, 942, 646, 779, 2451, 609, 835, 16826, 538, 1688, 1310, 11460, 538, 15985, 956, 269, 1809, 952, 646, 2855, 5190, 538, 519, 22753, 540, 5722, 267, 646, 779, 711, 2451, 609, 1022, 16826, 269, 1215, 1082, 22827, 1281, 513, 6300, 24010, 723, 2496, 9172, 281, 476, 22145, 692, 5655, 264, 8422, 1114, 2010, 540, 3615, 538, 513, 19943, 269, 1215, 1082, 2053, 1281, 835, 991, 547, 2824, 1843, 689, 519, 19943, 547, 1205, 693, 548, 770, 476, 274, 3615, 540, 519, 1482, 1826, 2496, 9172, 281, 476, 278, 692, 6246, 264, 589, 16826, 21689, 814, 519, 4356, 547, 6582, 610, 30337, 519, 22827, 9935, 269, 1247, 3257, 713, 646, 930, 2053, 8952, 519, 22827, 538, 8424, 267, 610, 538, 1895, 540, 476, 274, 610, 538, 476, 275, 610, 538, 610, 538, 476, 277, 543, 1483, 2478, 602, 538, 1022, 2013, 646, 568, 2451, 609, 476, 272, 16826, 543, 950, 646, 2855, 5190, 873, 538, 2516, 540, 476, 278, 1100, 22827, 2611, 269, 1018, 568, 519, 1297, 540, 22827, 646, 814, 2496, 4510, 264, 993, 344, 1247, 3802, 514, 1524, 519, 8265, 609, 1200, 8250, 267, 10742, 1200, 9393, 779, 3993, 779, 1152, 5918, 27895, 614, 538, 1876, 779, 11078, 779, 9393, 269, 875, 568, 519, 1644, 547, 1200, 2496, 3393, 264, 972, 616, 476, 274, 8169, 517, 619, 945, 6499, 547, 1491, 513, 4552, 2759, 543, 695, 1511, 269, 972, 616, 476, 273, 3046, 1499, 945, 3217, 835, 10116, 540, 606, 5662, 585, 513, 4552, 2759, 267, 543, 476, 276, 3764, 585, 513, 695, 1511, 269, 1312, 519, 3046, 1499, 1616, 547, 9096, 1055, 543, 979, 3533, 547, 741, 5321, 269, 538, 1018, 942, 666, 798, 621, 780, 5379, 264, 649, 24964, 547, 513, 1747, 693, 519, 2557, 540, 476, 1015, 5195, 829, 5662, 543, 1055, 322, 6847, 8120, 519, 1482, 1259, 267, 855, 19962, 547, 1447, 6808, 693, 519, 2557, 540, 476, 1428, 5195, 829, 5662, 269, 6343, 729, 938, 3448, 3432, 780, 5325, 264, 972, 616, 476, 274, 2010, 540, 13212, 538, 513, 4216, 269, 1018, 568, 519, 1297, 540, 13212, 649, 1058, 1491, 865, 602, 649, 1439, 909, 609, 476, 274, 13212, 540, 835, 2186, 780, 4366, 264, 513, 1040, 274, 267, 277, 267, 1724, 267, 2918, 267, 3451, 267, 5780, 267, 318, 536, 1040, 271, 267, 476, 272, 267, 273, 267, 1724, 2073, 277, 267, 3451, 2073, 1321, 267, 476, 8287, 267, 736, 267, 476, 9818, 267, 318, 692, 5392, 264, 3962, 9904, 589, 32390, 907, 2098, 568, 513, 3586, 6993, 284, 272, 32390, 284, 273, 267, 290, 284, 274, 317, 273, 267, 291, 284, 275, 317, 280, 562, 865, 593, 9950, 778, 4484, 568, 8655, 513, 1871, 910, 1492, 2990, 540, 602, 4484, 6659, 547, 519, 1871, 540, 18631, 9904, 15301, 290, 815, 476, 274, 9745, 289, 267, 291, 284, 476, 275, 9745, 595, 562, 865, 593, 264, 30770, 519, 10230, 1871, 540, 630, 311, 5025, 7565, 311, 5174, 7565, 311, 4211, 264, 2507, 15301, 311, 25286, 7565, 311, 19053, 6393, 2004, 264, 6004, 269, 570, 814, 513, 4636, 20604, 3443, 269, 3080, 6186, 568, 3259, 1512, 982, 824, 269, 272, 11304, 593, 2451, 21356, 476, 279, 5283, 976, 593, 1318, 269, 272, 11304, 593, 1318, 21356, 476, 273, 5283, 976, 593, 2451, 28560, 782, 5283, 976, 616, 3160, 538, 2597, 267, 6343, 568, 519, 2597, 540, 513, 2582, 5283, 517, 888, 275, 269, 12693, 9040, 25975, 10817, 652, 692, 322, 12500, 269, 273, 629, 3953, 331, 696, 326, 30113, 1690, 339, 326, 696, 342, 30113, 0, 258, 6435, 1620, 519, 1523, 540, 606, 3134, 574, 6973, 1143, 538, 713, 7121, 3381, 11000, 3126, 2496, 296, 6415, 3843, 547, 1451, 7121, 3069, 998, 1582, 1353, 267, 2542, 2835, 543, 8384, 7044, 855, 594, 6415, 12758, 593, 1945, 602, 568, 5310, 29749, 269, 16740, 330, 267, 855, 594, 4312, 1044, 3206, 827, 621, 585, 2395, 543, 594, 2731, 1810, 1405, 1616, 547, 1847, 593, 8259, 594, 1174, 621, 780, 3383, 1934, 781, 519, 3095, 547, 519, 3381, 1141, 646, 5956, 713, 4901, 269, 3371, 781, 1018, 594, 1174, 1384, 3891, 5956, 676, 6031, 267, 1577, 781, 2015, 519, 2013, 1141, 1269, 325, 281, 288, 1422, 1729, 645, 259, 568, 711, 1147, 11187, 267, 1287, 972, 616, 2609, 538, 645, 602, 616, 711, 538, 519, 3239, 540, 1269, 325, 10608, 6744, 269, 3973, 646, 3081, 1577, 781, 2015, 1079, 824, 3252, 267, 1269, 326, 318, 272, 281, 645, 1422, 1729, 595, 259, 543, 1269, 326, 318, 273, 281, 645, 1422, 1729, 595, 259, 799, 10396, 14877, 8428, 585, 2609, 744, 308, 4811, 22432, 519, 3239, 540, 1269, 325, 8961, 3976, 1269, 326, 318, 272, 1422, 15132, 535, 815, 575, 318, 273, 1422, 15132, 535, 10608, 6744, 780, 8489, 594, 6415, 4503, 281, 7711, 476, 5655, 281, 6872, 646, 3081, 834, 8117, 585, 519, 598, 2091, 540, 713, 4399, 1721, 718, 575, 318, 272, 267, 575, 318, 273, 630, 326, 318, 272, 1422, 15132, 535, 815, 575, 318, 273, 1422, 15132, 535, 1422, 574, 18680, 575, 318, 272, 815, 575, 318, 273, 7751, 5016, 26524, 1384, 272, 264, 1879, 646, 3081, 4399, 1721, 718, 575, 318, 272, 267, 575, 318, 273, 8961, 1281, 646, 1611, 585, 1169, 1269, 326, 318, 272, 259, 543, 1269, 326, 318, 273, 259, 602, 1223, 7654, 2291, 610, 1175, 519, 3283, 602, 616, 538, 519, 7121, 286, 5221, 952, 621, 781, 1175, 519, 3283, 538, 519, 7121, 267, 1287, 1018, 952, 519, 7121, 1152, 814, 519, 5036, 1269, 288, 32390, 267, 259, 543, 1269, 290, 259, 543, 519, 21985, 1269, 272, 318, 288, 267, 272, 29758, 267, 272, 318, 290, 267, 589, 1422, 343, 21375, 346, 325, 348, 289, 32390, 1422, 343, 21375, 346, 326, 318, 272, 348, 290, 267, 645, 1422, 343, 21375, 346, 326, 318, 273, 348, 290, 267, 575, 318, 272, 1422, 15132, 535, 267, 1422, 3667, 346, 663, 7684, 575, 318, 273, 1422, 15132, 535, 259, 543, 649, 917, 1269, 325, 259, 568, 711, 1147, 11187, 543, 602, 1269, 326, 318, 272, 259, 15320, 689, 1269, 326, 318, 273, 259, 1152, 3544, 519, 3239, 540, 1269, 325, 8961, 1287, 621, 4667, 899, 4399, 1721, 718, 575, 318, 272, 267, 575, 318, 273, 630, 326, 318, 272, 1422, 15132, 535, 815, 575, 318, 273, 1422, 15132, 535, 1422, 574, 18680, 575, 318, 272, 815, 575, 318, 273, 7751, 568, 7301, 1317, 1269, 326, 318, 272, 1422, 15132, 535, 815, 575, 318, 273, 1422, 15132, 535, 259, 568, 3020, 855, 1269, 326, 318, 272, 1422, 928, 336, 575, 318, 273, 10608, 594, 6415, 2706, 11821, 2439, 273, 264, 1548, 568, 519, 20790, 646, 568, 2921, 519, 598, 2091, 540, 6730, 1946, 568, 646, 2921, 519, 598, 2091, 540, 713, 20790, 952, 1269, 304, 1422, 574, 18680, 623, 259, 1281, 711, 2141, 723, 519, 1482, 5168, 1871, 540, 1269, 303, 1422, 574, 18680, 1627, 259, 2496, 274, 264, 594, 666, 1405, 14650, 4399, 1721, 718, 575, 318, 272, 267, 575, 318, 273, 630, 326, 318, 272, 1422, 15132, 535, 815, 575, 318, 273, 1422, 15132, 535, 1422, 574, 18680, 575, 318, 272, 815, 575, 318, 273, 7751, 1373, 3020, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17138, 281, 1215, 547, 16179, 7956, 9248, 689, 513, 5441, 30930, 15188, 9453, 9861, 7054, 761, 908, 692, 7072, 912, 4537, 25891, 693, 2852, 1837, 8637, 666, 1419, 581, 513, 646, 8157, 1995, 1813, 547, 1804, 24921, 267, 942, 10148, 267, 610, 14845, 4558, 29282, 269, 1717, 267, 609, 6297, 4058, 543, 7156, 267, 596, 666, 1118, 707, 1837, 11449, 1184, 23704, 543, 1447, 8886, 908, 585, 1312, 3054, 543, 1866, 1472, 596, 269, 901, 15825, 786, 3391, 596, 998, 9140, 9499, 689, 513, 2852, 1837, 4558, 1510, 1373, 8886, 908, 780, 3721, 476, 272, 281, 3194, 2659, 7734, 6969, 8518, 454, 6524, 16144, 547, 519, 2168, 21869, 648, 267, 1382, 799, 2835, 616, 2838, 585, 707, 5049, 676, 17874, 707, 21038, 610, 32296, 707, 20485, 269, 5269, 513, 1592, 540, 10643, 267, 4589, 267, 21820, 267, 543, 4139, 9208, 3883, 10606, 630, 25835, 338, 1040, 11109, 713, 1344, 25656, 5849, 602, 596, 917, 4010, 1018, 596, 991, 950, 596, 12446, 693, 519, 4558, 267, 10893, 10539, 543, 11991, 19855, 942, 780, 7659, 9669, 912, 268, 7638, 1518, 9768, 2338, 607, 789, 949, 4268, 1063, 1114, 8747, 540, 519, 1482, 2140, 563, 268, 6744, 952, 1031, 12215, 616, 11807, 282, 3006, 18960, 21820, 723, 5634, 2242, 3379, 547, 3105, 3283, 563, 268, 6733, 909, 5777, 2228, 547, 5635, 3790, 543, 5732, 4688, 2724, 780, 3721, 476, 273, 281, 7994, 519, 9406, 5384, 547, 16731, 519, 15188, 454, 23945, 707, 3643, 1282, 1055, 24406, 752, 3108, 971, 607, 2038, 544, 1941, 902, 267, 3735, 1310, 7224, 976, 267, 610, 3018, 17058, 3079, 540, 32300, 269, 23225, 518, 5561, 1611, 10156, 3515, 543, 811, 7244, 4055, 1247, 10918, 269, 3958, 267, 2015, 9683, 1175, 1354, 610, 1310, 2101, 21852, 610, 981, 5712, 2094, 1053, 4043, 547, 4444, 741, 2835, 782, 693, 2899, 1287, 780, 21980, 3894, 912, 268, 3680, 19060, 5662, 6808, 952, 2009, 563, 268, 1403, 11504, 3781, 5049, 267, 1491, 5413, 540, 1022, 6905, 10543, 3108, 6035, 676, 519, 4558, 563, 268, 18554, 1514, 2923, 6589, 610, 7270, 585, 10311, 827, 6455, 2621, 610, 3260, 687, 602, 1522, 2721, 3677, 24921, 780, 3721, 476, 274, 281, 16259, 3026, 10354, 10049, 454, 294, 1430, 3388, 2877, 1991, 547, 6028, 1753, 281, 2875, 9517, 3556, 267, 1362, 8430, 267, 8569, 1505, 630, 920, 9016, 270, 1372, 4226, 6486, 267, 6666, 1070, 23431, 11435, 267, 543, 5310, 1256, 513, 11480, 540, 1216, 269, 20780, 532, 891, 3688, 17990, 942, 10478, 2663, 543, 6971, 2566, 2157, 780, 7659, 18745, 912, 268, 5901, 707, 23129, 610, 1625, 572, 6896, 585, 2656, 1569, 547, 8569, 2409, 563, 268, 2368, 8637, 2709, 28774, 585, 1210, 23431, 11435, 1107, 2638, 6619, 2439, 3721, 476, 275, 281, 2142, 21111, 543, 3938, 974, 748, 2755, 19255, 4771, 454, 308, 2955, 602, 3025, 568, 2693, 4743, 519, 1482, 2604, 543, 4160, 2404, 609, 1394, 3562, 17469, 4005, 269, 6657, 9639, 543, 2463, 2509, 8284, 6300, 11825, 543, 5234, 2818, 7567, 269, 4676, 1778, 689, 5969, 3515, 267, 11319, 2250, 1004, 267, 610, 6340, 10978, 569, 593, 1591, 11436, 269, 5457, 267, 1434, 25654, 979, 513, 1279, 1259, 538, 2870, 513, 2318, 5790, 585, 3025, 3238, 780, 20055, 995, 670, 6493, 912, 268, 20644, 6351, 547, 1346, 945, 1413, 16397, 610, 4503, 563, 268, 1290, 680, 2939, 2576, 781, 25099, 610, 30618, 1107, 10825, 25273, 2760, 9292, 1206, 2439, 3721, 476, 276, 281, 22982, 15188, 8249, 31478, 569, 454, 12648, 5413, 540, 2200, 899, 23934, 3681, 267, 3902, 6476, 2645, 267, 610, 2228, 19280, 2533, 3177, 676, 519, 1837, 4558, 269, 1452, 29319, 20928, 519, 10918, 1995, 543, 948, 2057, 17890, 19707, 585, 1808, 10643, 780, 21206, 6176, 912, 268, 681, 550, 532, 9499, 666, 4688, 1713, 5666, 540, 2724, 3379, 547, 9140, 1007, 12215, 563, 268, 3509, 8637, 1683, 737, 3930, 802, 1141, 596, 666, 11571, 536, 2117, 3941, 547, 5635, 5777, 2066, 1585, 12043, 630, 2908, 267, 1031, 267, 3059, 6393, 3721, 476, 277, 281, 17677, 4211, 515, 1188, 2659, 623, 3420, 1162, 6969, 2274, 3058, 519, 15188, 454, 28444, 675, 782, 2556, 2326, 616, 20039, 585, 1354, 608, 1746, 519, 10661, 269, 16700, 16187, 902, 3823, 16306, 2014, 17799, 543, 17140, 585, 1312, 5561, 543, 5520, 269, 4762, 3305, 519, 2953, 7160, 267, 2783, 267, 543, 7274, 540, 1142, 6221, 12349, 780, 30131, 11872, 912, 268, 16440, 2256, 328, 14186, 585, 1761, 7024, 610, 15377, 563, 268, 1879, 10519, 532, 267, 13182, 2132, 7389, 543, 4507, 780, 6962, 912, 3528, 1739, 891, 3268, 267, 596, 666, 6707, 6330, 519, 14784, 540, 513, 2852, 1837, 4558, 1247, 4509, 735, 3837, 543, 28972, 269, 2060, 1697, 7041, 267, 11009, 540, 1866, 267, 3608, 4199, 13345, 267, 543, 9488, 5595, 19295, 9535, 267, 519, 4305, 3587, 14320, 1447, 18447, 269, 8414, 4974, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 24246, 7956, 9248, 689, 513, 5441, 30930, 15188, 9453, 9861, 7054, 761, 908, 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, 1012, 8125, 17924, 8291, 24143, 543, 6399, 19105, 30059, 692, 1103, 713, 3184, 267, 649, 786, 2263, 1079, 1271, 6268, 14573, 1031, 538, 3684, 1565, 281, 519, 8125, 17924, 8291, 24143, 543, 519, 6399, 19105, 30059, 630, 31778, 1040, 1452, 14573, 616, 1031, 547, 6218, 519, 2298, 540, 24159, 543, 23023, 4247, 267, 6606, 780, 2162, 8125, 17924, 8291, 24143, 692, 763, 8125, 17924, 8291, 24143, 568, 513, 2268, 540, 875, 2147, 606, 1843, 568, 547, 922, 1378, 12440, 3379, 547, 824, 13421, 269, 634, 6060, 9832, 689, 910, 272, 547, 476, 272, 267, 1141, 513, 1164, 1871, 6920, 602, 519, 1843, 568, 1134, 20083, 547, 922, 1378, 12440, 543, 14605, 20083, 547, 15231, 13421, 269, 1403, 1034, 3615, 723, 513, 1164, 1871, 267, 1287, 519, 24159, 12122, 568, 3617, 269, 1403, 1082, 2798, 723, 513, 1970, 610, 2942, 1871, 267, 1287, 519, 24159, 12122, 949, 723, 1932, 1082, 610, 1932, 1906, 13421, 780, 763, 8125, 17924, 8291, 24143, 568, 7229, 607, 5205, 1384, 2330, 521, 9217, 264, 815, 1422, 2765, 15830, 9217, 264, 910, 513, 9217, 264, 7346, 10946, 28381, 320, 9217, 1070, 536, 9217, 9385, 3686, 3230, 692, 3602, 1269, 320, 9217, 7751, 568, 519, 3328, 3845, 689, 519, 1269, 328, 27572, 628, 1448, 547, 519, 824, 2798, 538, 922, 12440, 267, 543, 1269, 321, 9217, 7751, 568, 519, 5934, 3328, 3845, 689, 519, 1269, 328, 27572, 628, 1448, 547, 2798, 538, 513, 1114, 12440, 267, 31965, 936, 13421, 780, 1103, 5124, 267, 649, 666, 12337, 519, 8125, 17924, 8291, 24143, 1210, 519, 2387, 338, 559, 17924, 8291, 23962, 319, 1599, 689, 519, 2387, 12921, 16753, 269, 5471, 7879, 319, 9074, 269, 3371, 781, 606, 1383, 1384, 3499, 7090, 454, 5228, 28189, 269, 5471, 7879, 1104, 3623, 17924, 8291, 23962, 454, 5814, 11885, 607, 5286, 692, 258, 8263, 7117, 655, 2125, 543, 7117, 18350, 1564, 616, 707, 1239, 543, 10297, 267, 6606, 454, 338, 13990, 815, 31460, 338, 13990, 9131, 338, 559, 17924, 8291, 11172, 815, 3623, 17924, 8291, 23962, 32429, 655, 2125, 267, 7117, 18350, 1564, 267, 11973, 8782, 15710, 743, 22470, 5073, 7884, 2162, 6399, 19105, 30059, 630, 31778, 2020, 763, 6399, 19105, 30059, 630, 31778, 264, 568, 513, 11973, 1031, 547, 6218, 519, 2773, 540, 1344, 23023, 543, 20823, 1949, 269, 898, 568, 519, 1611, 540, 519, 3328, 8856, 630, 4338, 264, 8464, 585, 513, 1305, 540, 14511, 269, 634, 6673, 6060, 585, 513, 2582, 13214, 568, 519, 3328, 540, 519, 8856, 8464, 693, 782, 4143, 16034, 780, 763, 8856, 693, 7584, 1269, 330, 259, 568, 519, 6824, 540, 519, 1283, 1269, 330, 259, 2164, 602, 616, 4143, 1384, 2330, 623, 17347, 264, 815, 1422, 2765, 346, 24689, 3189, 3667, 346, 516, 10589, 6054, 4153, 348, 1422, 5115, 1422, 3189, 3667, 346, 9008, 737, 6054, 4153, 348, 347, 2410, 330, 348, 3230, 692, 763, 3328, 8856, 568, 519, 3328, 540, 519, 8856, 8464, 693, 519, 16034, 1141, 513, 4143, 3561, 568, 27366, 1384, 2330, 6673, 815, 1422, 2765, 346, 272, 2410, 24689, 3189, 3667, 346, 516, 10589, 6054, 4153, 348, 347, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 348, 623, 17347, 264, 1422, 9392, 1422, 3667, 346, 7758, 12917, 330, 264, 3230, 692, 3602, 4399, 3667, 346, 7758, 12917, 330, 7751, 568, 476, 272, 952, 519, 3561, 693, 7584, 1269, 330, 259, 568, 4143, 267, 543, 476, 271, 6382, 780, 1103, 5124, 267, 649, 666, 12337, 519, 30684, 1210, 519, 2387, 11743, 19963, 2071, 318, 2181, 17800, 319, 1599, 689, 519, 2387, 12921, 16753, 269, 5471, 7879, 319, 9074, 269, 3371, 781, 606, 1383, 1384, 3499, 7090, 454, 5228, 28189, 269, 5471, 7879, 1104, 1611, 19963, 2071, 318, 2181, 17800, 692, 258, 8263, 7117, 655, 2125, 543, 7117, 18350, 1564, 616, 707, 1239, 543, 10297, 267, 6606, 454, 338, 13990, 815, 31460, 338, 13990, 9131, 31778, 11172, 815, 1611, 19963, 2071, 318, 2181, 17800, 32429, 655, 2125, 267, 7117, 18350, 1564, 267, 11973, 8782, 15710, 743, 22470, 5073, 7884, 2162, 30684, 585, 1530, 523, 543, 1133, 16308, 26643, 692, 1103, 930, 2665, 267, 649, 949, 1616, 547, 12337, 519, 30684, 585, 2938, 543, 31305, 5049, 14384, 269, 1284, 666, 798, 713, 676, 2870, 513, 9633, 602, 6920, 2436, 1142, 6003, 568, 538, 519, 2866, 1305, 610, 711, 780, 2080, 781, 606, 1383, 1384, 3499, 7090, 454, 258, 8263, 5721, 9078, 8475, 27133, 568, 707, 1305, 540, 2866, 10297, 454, 332, 2532, 815, 5286, 18994, 514, 32429, 18350, 1564, 267, 1592, 6025, 1778, 9078, 8475, 27133, 11723, 258, 12337, 30684, 585, 2938, 5049, 454, 604, 9633, 27904, 3890, 2652, 476, 271, 912, 825, 8464, 9131, 31778, 2938, 10297, 11172, 815, 476, 271, 454, 12828, 912, 825, 8464, 9131, 31778, 2938, 10297, 11172, 815, 15410, 19963, 2071, 318, 2181, 17800, 32429, 655, 2125, 267, 9633, 267, 7117, 18350, 1564, 267, 11973, 2020, 258, 12337, 30684, 585, 31305, 5049, 454, 604, 9633, 27904, 3890, 2652, 7003, 32429, 18350, 1564, 2187, 825, 8464, 9131, 31778, 31305, 10297, 11172, 815, 476, 271, 454, 12828, 912, 825, 8464, 9131, 31778, 31305, 10297, 11172, 815, 15410, 19963, 2071, 318, 2181, 17800, 32429, 655, 2125, 267, 9625, 332, 2532, 267, 7117, 18350, 1564, 267, 11973, 994, 7884, 1103, 713, 1383, 267, 2387, 11357, 3553, 19963, 2071, 318, 2181, 17800, 319, 568, 513, 2688, 1599, 602, 1939, 525, 519, 3328, 8856, 585, 513, 15410, 540, 519, 1239, 269, 634, 3169, 6388, 540, 713, 1599, 5673, 593, 707, 1808, 946, 2013, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5286, 15126, 263, 638, 2044, 318, 2903, 518, 7456, 629, 1564, 2020, 1038, 1948, 12337, 3623, 17924, 8291, 6060, 454, 1038, 8464, 9131, 338, 559, 17924, 8291, 11172, 815, 14573, 4732, 559, 17924, 8291, 23962, 32429, 655, 2125, 267, 7117, 18350, 1564, 267, 11973, 284, 13240, 994, 1038, 8464, 9131, 332, 1173, 514, 23962, 11172, 815, 14345, 23962, 32429, 655, 2125, 267, 7117, 18350, 1564, 267, 11973, 2020, 1038, 952, 5721, 9078, 8475, 27133, 568, 711, 7183, 912, 2018, 1948, 12337, 1611, 3328, 8856, 454, 2018, 8464, 9131, 31778, 11172, 815, 1611, 19963, 2071, 318, 2181, 17800, 32429, 655, 2125, 267, 7117, 18350, 1564, 267, 11973, 2020, 2018, 1948, 12337, 30684, 585, 2938, 5049, 454, 2018, 9633, 815, 5286, 18994, 514, 32429, 18350, 1564, 267, 1592, 6025, 1778, 9078, 8475, 27133, 4917, 2018, 952, 9633, 27904, 3890, 2652, 476, 271, 912, 3546, 8464, 9131, 31778, 2938, 10297, 11172, 815, 476, 271, 454, 2018, 3116, 912, 3546, 8464, 9131, 31778, 2938, 10297, 11172, 815, 15410, 19963, 2071, 318, 2181, 17800, 18692, 7386, 7117, 655, 2125, 267, 9633, 267, 7117, 18350, 1564, 267, 11973, 2020, 2018, 1948, 12337, 30684, 585, 31305, 5049, 454, 2018, 952, 9633, 27904, 3890, 2652, 7003, 32429, 18350, 1564, 2187, 3546, 8464, 9131, 31778, 31305, 10297, 11172, 815, 476, 271, 454, 2018, 3116, 912, 3546, 8464, 9131, 31778, 31305, 10297, 11172, 815, 15410, 19963, 2071, 318, 2181, 17800, 18692, 7386, 7117, 655, 2125, 267, 9625, 332, 2532, 267, 7117, 18350, 1564, 267, 11973, 2020, 825, 2132, 8464, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1447, 2892, 889, 686, 748, 6082, 666, 581, 20651, 676, 7218, 945, 616, 22393, 5275, 547, 946, 741, 15170, 585, 683, 325, 13895, 5301, 269, 898, 568, 711, 2352, 585, 513, 2241, 5616, 3406, 547, 3142, 909, 8638, 540, 530, 24548, 602, 723, 4057, 630, 528, 3592, 1875, 7721, 11962, 264, 7537, 299, 10873, 538, 1747, 269, 2755, 1454, 540, 713, 1344, 568, 2966, 547, 948, 9520, 917, 799, 3549, 547, 2057, 630, 1721, 519, 3354, 540, 741, 1378, 9304, 1070, 621, 5713, 8449, 607, 513, 1797, 547, 2697, 799, 530, 24548, 949, 581, 6225, 547, 20737, 3168, 547, 2901, 4558, 741, 2192, 3766, 13516, 12374, 267, 610, 547, 17908, 519, 18083, 540, 1866, 563, 19675, 15170, 1332, 267, 2523, 538, 1769, 540, 519, 9779, 290, 7765, 22418, 7835, 267, 519, 991, 585, 7537, 299, 543, 918, 312, 290, 11974, 547, 2212, 1055, 519, 7872, 540, 1210, 15170, 607, 513, 1106, 540, 3454, 859, 5235, 568, 5693, 2469, 547, 581, 2556, 563, 2690, 513, 23129, 630, 528, 824, 15170, 3028, 264, 3168, 547, 6961, 1164, 2298, 3028, 547, 3755, 267, 621, 568, 1271, 547, 6961, 547, 1761, 9520, 602, 519, 7537, 299, 543, 918, 312, 290, 10873, 616, 7347, 1107, 1131, 596, 2322, 707, 2724, 538, 4871, 602, 1705, 711, 917, 945, 729, 593, 3135, 693, 1022, 2016, 942, 286, 898, 568, 12691, 563, 2839, 300, 2207, 3951, 779, 3435, 585, 14640, 5336, 2292, 700, 879, 837, 532, 2636, 4213, 547, 3533, 543, 3362, 3961, 1164, 16151, 23078, 543, 4383, 873, 538, 606, 3617, 6073, 269, 3776, 1239, 14439, 543, 6212, 593, 1883, 6990, 2066, 519, 1158, 267, 1247, 9363, 1699, 593, 930, 540, 519, 1034, 22608, 3961, 2359, 3631, 269, 3776, 3561, 3239, 15418, 2359, 2636, 4213, 547, 29343, 519, 17258, 540, 811, 982, 476, 26392, 2518, 2594, 12043, 267, 1519, 3084, 9517, 6486, 563, 288, 2883, 2533, 8502, 1281, 711, 723, 547, 581, 22393, 635, 14032, 538, 1931, 547, 4217, 538, 2724, 561, 879, 837, 532, 267, 621, 3274, 2115, 547, 581, 561, 1314, 593, 3652, 1107, 585, 8726, 2601, 269, 0, 26765, 754, 814, 621, 602, 538, 476, 8687, 277, 267, 513, 19266, 622, 6928, 1572, 519, 10507, 704, 24521, 267, 5053, 585, 4126, 267, 729, 16091, 676, 513, 12357, 6077, 607, 621, 5645, 561, 2393, 539, 769, 4754, 16782, 2066, 519, 7414, 269, 634, 986, 11107, 3576, 519, 4154, 689, 519, 6928, 543, 29802, 519, 10507, 704, 24521, 779, 12284, 269, 4256, 6928, 2407, 267, 789, 1835, 14414, 5196, 606, 17946, 14975, 693, 3326, 563, 763, 561, 2393, 619, 12617, 519, 14951, 585, 2922, 15209, 543, 1305, 827, 2679, 513, 1007, 6928, 547, 13743, 585, 948, 269, 2986, 519, 476, 3445, 945, 941, 1767, 547, 723, 15068, 519, 20739, 1188, 267, 1152, 835, 2479, 1500, 621, 1394, 547, 13272, 543, 5747, 16172, 1310, 269, 634, 1964, 941, 4503, 547, 2068, 267, 2417, 6928, 342, 516, 1188, 267, 1287, 1686, 3294, 269, 634, 14951, 267, 952, 621, 6818, 267, 18387, 1406, 1044, 1336, 563, 3086, 267, 602, 6263, 12701, 540, 5070, 543, 14147, 814, 513, 2012, 267, 6022, 3240, 571, 2311, 3326, 267, 543, 513, 12284, 540, 1699, 7264, 945, 616, 1869, 3843, 547, 3666, 4126, 267, 9316, 267, 2068, 267, 543, 726, 8974, 269, 634, 476, 275, 4009, 13304, 4015, 540, 10195, 267, 476, 272, 267, 1822, 5195, 5045, 540, 12968, 565, 21343, 543, 693, 519, 9663, 1492, 560, 10301, 540, 2475, 8513, 267, 814, 1831, 513, 13398, 585, 2629, 8733, 543, 2916, 1689, 1382, 269, 898, 779, 5280, 3744, 1353, 1018, 513, 2635, 5836, 5654, 899, 267, 543, 875, 9097, 267, 23801, 2962, 666, 2847, 633, 2898, 8134, 693, 2899, 543, 4688, 519, 1158, 779, 7366, 540, 1970, 268, 2391, 9341, 10195, 689, 12362, 2249, 543, 3425, 7567, 563, 5629, 1031, 543, 26884, 607, 513, 2475, 4108, 3490, 1282, 24918, 267, 519, 693, 3326, 729, 7361, 2451, 4805, 585, 5756, 547, 17370, 843, 267, 543, 568, 1631, 835, 540, 519, 4686, 267, 2282, 17376, 25434, 6532, 9249, 2451, 593, 3047, 269, 898, 779, 513, 11931, 15977, 538, 513, 1158, 1416, 2287, 909, 543, 1524, 593, 6329, 540, 2916, 1689, 269, 8625, 609, 519, 2295, 344, 1004, 945, 2661, 543, 960, 972, 267, 945, 723, 28815, 606, 9550, 267, 513, 6855, 267, 7132, 782, 519, 4365, 543, 7320, 519, 21050, 923, 1223, 12235, 693, 873, 267, 6022, 3240, 571, 3091, 1945, 1256, 4686, 337, 982, 796, 4944, 334, 6150, 14099, 281, 4126, 267, 610, 1732, 2943, 267, 513, 29685, 585, 2962, 563, 16908, 593, 519, 693, 3326, 454, 3849, 328, 918, 1156, 267, 513, 10927, 2875, 693, 519, 2480, 23774, 338, 26323, 540, 7909, 2762, 538, 4993, 267, 6170, 1296, 4974, 8792, 2242, 547, 6022, 3240, 571, 779, 27712, 20716, 1354, 1352, 4718, 873, 538, 1268, 1282, 513, 10047, 593, 519, 6532, 538, 3735, 476, 1708, 271, 269, 898, 4957, 1200, 11014, 563, 2108, 8450, 532, 621, 585, 519, 1101, 942, 568, 1945, 594, 1869, 10093, 1406, 4625, 2322, 883, 1913, 2223, 1352, 5143, 634, 18763, 269, 968, 763, 1101, 942, 594, 4682, 2879, 1251, 2454, 593, 519, 11818, 267, 594, 729, 24986, 14015, 269, 594, 1185, 713, 4743, 267, 891, 18625, 616, 1920, 269, 594, 4076, 2938, 873, 538, 519, 11052, 267, 936, 543, 936, 1586, 269, 594, 4076, 2938, 891, 1367, 27712, 1332, 543, 6926, 778, 543, 5884, 543, 9156, 267, 543, 1934, 789, 616, 538, 1483, 1272, 3034, 288, 1906, 4374, 593, 519, 693, 3326, 18617, 1200, 1352, 4941, 547, 6108, 519, 1964, 540, 1200, 1272, 4974, 6022, 3240, 571, 269, 898, 779, 2312, 267, 6158, 547, 519, 28031, 5652, 9992, 24471, 540, 27563, 543, 1158, 7045, 3464, 945, 960, 972, 267, 713, 568, 513, 1455, 4743, 269, 898, 779, 711, 2182, 547, 1294, 1946, 519, 1747, 26182, 971, 11428, 563, 21595, 3240, 571, 2311, 3326, 568, 936, 560, 4428, 539, 609, 1272, 267, 513, 1016, 331, 830, 12576, 540, 875, 7524, 519, 3047, 666, 581, 950, 3425, 1450, 621, 269, 7256, 16015, 267, 16142, 267, 544, 9017, 12345, 267, 543, 811, 982, 476, 6110, 2249, 540, 3165, 2095, 936, 2635, 18625, 538, 17576, 2389, 821, 1216, 269, 1849, 10796, 540, 3043, 1768, 985, 29964, 16841, 269, 6022, 3240, 571, 814, 513, 12733, 540, 5176, 476, 1839, 267, 1822, 2699, 20356, 539, 1630, 984, 625, 267, 513, 2551, 540, 519, 5017, 2034, 1152, 547, 519, 8895, 5451, 335, 31310, 269, 23081, 14777, 27374, 8280, 1650, 1504, 561, 6210, 976, 563, 2108, 3080, 540, 519, 1919, 602, 2731, 16853, 609, 803, 568, 2469, 856, 693, 3781, 543, 1175, 7487, 20679, 540, 28725, 15292, 532, 1524, 519, 11824, 2223, 1767, 2725, 548, 10609, 1023, 320, 267, 606, 6532, 11808, 11285, 689, 6816, 11094, 267, 513, 1895, 2324, 593, 6022, 3240, 571, 269, 968, 2005, 5433, 899, 972, 941, 476, 1911, 267, 1822, 540, 873, 269, 1703, 941, 1175, 865, 1082, 540, 873, 267, 543, 789, 2461, 782, 1175, 2186, 540, 5605, 1782, 4805, 609, 1100, 1416, 538, 519, 1158, 585, 3425, 543, 782, 519, 12416, 540, 519, 1158, 3034, 2252, 596, 1796, 1869, 267, 972, 616, 865, 1082, 28725, 596, 666, 5873, 873, 15309, 1782, 543, 804, 22326, 1996, 1142, 824, 538, 519, 26570, 563, 763, 1152, 3364, 602, 13292, 519, 11606, 693, 6022, 3240, 571, 568, 875, 8499, 3425, 5176, 10032, 621, 267, 543, 519, 13080, 547, 799, 789, 4076, 8854, 547, 3142, 621, 1394, 563, 24375, 940, 538, 476, 4350, 280, 267, 519, 2475, 13108, 24509, 539, 6022, 3240, 571, 689, 922, 4357, 5411, 543, 1031, 621, 607, 513, 3490, 585, 5111, 476, 277, 267, 1822, 10136, 2394, 519, 1439, 540, 24918, 267, 1377, 1782, 5065, 7733, 267, 2679, 2196, 1811, 267, 543, 6028, 544, 684, 1431, 543, 824, 3653, 1792, 1233, 2066, 519, 693, 3326, 563, 1103, 513, 1932, 6823, 7308, 5991, 846, 4528, 540, 292, 726, 7875, 639, 796, 636, 267, 519, 2475, 4108, 3576, 519, 476, 2004, 610, 865, 568, 7410, 602, 1118, 909, 6022, 3240, 571, 543, 31619, 11526, 873, 2394, 789, 941, 9247, 513, 2582, 2244, 2527, 563, 1103, 1840, 547, 8744, 2367, 267, 23038, 267, 543, 6214, 547, 519, 796, 514, 4725, 1243, 693, 3326, 267, 519, 7980, 849, 2693, 4547, 14148, 267, 799, 554, 6359, 17977, 519, 5117, 543, 2759, 883, 26029, 267, 6177, 267, 543, 5065, 3529, 5095, 563, 4517, 827, 1346, 2022, 15258, 17310, 13869, 4054, 281, 1346, 941, 12362, 1932, 267, 2693, 1101, 4547, 936, 606, 6059, 476, 5611, 271, 1296, 3516, 593, 16831, 1137, 689, 3504, 2717, 29498, 2103, 2066, 519, 7414, 267, 1287, 1031, 543, 6038, 14460, 538, 2413, 2395, 538, 513, 3126, 540, 8959, 17310, 24914, 593, 519, 693, 3326, 563, 3528, 519, 942, 5726, 1895, 519, 7186, 20271, 3599, 11751, 1034, 540, 6022, 3240, 571, 689, 922, 4357, 5411, 538, 476, 1220, 271, 267, 519, 27374, 1185, 3144, 936, 5458, 2220, 520, 1127, 540, 519, 693, 3326, 267, 7715, 3429, 856, 5065, 2371, 267, 14874, 9053, 21224, 4609, 585, 5065, 5017, 267, 30286, 513, 3106, 1981, 547, 1212, 9749, 609, 9991, 9279, 517, 7491, 267, 543, 15587, 2879, 6260, 519, 10347, 1357, 540, 4205, 1063, 7366, 540, 1114, 2249, 2877, 547, 2844, 519, 6532, 779, 5117, 563, 3674, 4133, 267, 1317, 540, 741, 10072, 267, 666, 993, 817, 16080, 1242, 9265, 543, 2149, 2189, 2249, 267, 855, 602, 1482, 10072, 3762, 873, 7925, 269, 2060, 519, 14148, 543, 27374, 2531, 3215, 519, 693, 3326, 267, 1919, 1185, 9411, 513, 2186, 540, 1989, 574, 6617, 267, 1141, 4986, 1454, 729, 4657, 267, 799, 1152, 25967, 1819, 875, 21354, 1919, 2877, 547, 1689, 563, 29467, 729, 513, 1360, 7123, 5117, 267, 17310, 13869, 268, 543, 3731, 26730, 3990, 2223, 1767, 5981, 654, 1122, 10458, 267, 2257, 8689, 693, 519, 7186, 20271, 3599, 779, 6022, 3240, 571, 10872, 269, 968, 2005, 729, 12691, 547, 7369, 689, 602, 1510, 1713, 6304, 3034, 21595, 3240, 571, 2968, 513, 1747, 540, 2112, 2899, 1586, 267, 1152, 713, 942, 519, 10546, 729, 711, 8284, 3425, 267, 855, 2864, 519, 1259, 3425, 1185, 29169, 741, 8284, 7068, 563, 14722, 3366, 513, 3811, 5859, 543, 4625, 17515, 14148, 689, 519, 6532, 538, 476, 1001, 272, 267, 1210, 1793, 902, 32718, 543, 16304, 689, 21484, 641, 1562, 547, 5838, 8914, 536, 7159, 269, 1358, 849, 1031, 11308, 546, 27186, 543, 513, 968, 572, 629, 2273, 1167, 6139, 4302, 892, 547, 1205, 5017, 899, 519, 27925, 4620, 7758, 267, 9341, 19852, 4248, 267, 530, 8354, 26904, 19852, 4248, 543, 3043, 6253, 549, 730, 7088, 1790, 564, 7758, 547, 1376, 887, 24031, 593, 6022, 3240, 571, 1586, 269, 1306, 519, 3731, 2551, 17379, 267, 3744, 3459, 31986, 2249, 540, 26029, 789, 8910, 2760, 2938, 593, 519, 10195, 1354, 267, 543, 2068, 24481, 19498, 7361, 5747, 856, 269, 3767, 824, 6532, 11800, 899, 519, 932, 31310, 5246, 28396, 267, 519, 31679, 3511, 10394, 2311, 3326, 267, 543, 519, 7404, 263, 880, 264, 22963, 10195, 616, 6236, 2147, 3785, 267, 6273, 676, 6022, 3240, 571, 563, 1103, 476, 1001, 280, 267, 1310, 19666, 12220, 3842, 20473, 267, 789, 849, 1305, 827, 593, 513, 1269, 273, 2929, 1544, 547, 4894, 1034, 540, 519, 27374, 267, 543, 723, 4988, 827, 3368, 519, 6532, 267, 21757, 5176, 513, 2929, 15013, 865, 2484, 267, 6140, 676, 1688, 269, 634, 4054, 1185, 1044, 971, 513, 3811, 2249, 593, 519, 6532, 602, 789, 8910, 856, 326, 3497, 5065, 2371, 543, 2813, 10053, 5394, 1115, 602, 941, 5176, 791, 523, 25523, 1076, 547, 824, 1272, 3029, 610, 1256, 1769, 3294, 563, 17606, 779, 1360, 4158, 543, 2186, 540, 17559, 538, 972, 267, 972, 779, 1152, 20151, 543, 602, 779, 621, 2223, 1767, 15516, 10609, 1023, 320, 689, 6816, 11094, 269, 968, 763, 2702, 547, 3802, 998, 891, 13602, 543, 2127, 782, 540, 513, 6727, 568, 865, 8748, 269, 1452, 4025, 602, 723, 1044, 865, 4158, 543, 546, 1678, 6368, 8118, 909, 3034, 763, 1448, 540, 782, 713, 267, 2687, 547, 519, 3744, 693, 6022, 3240, 571, 267, 568, 711, 547, 979, 1310, 835, 2249, 610, 1776, 267, 855, 5402, 3442, 5726, 960, 602, 10607, 3003, 1949, 693, 2899, 269, 7186, 814, 922, 15739, 564, 2694, 267, 855, 789, 782, 1847, 538, 6935, 547, 1142, 824, 267, 543, 3744, 723, 1336, 602, 693, 6022, 3240, 571, 267, 519, 8902, 519, 2898, 6532, 3294, 568, 267, 519, 8902, 519, 27712, 543, 2831, 945, 7048, 593, 873, 6961, 547, 581, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9961, 519, 12105, 1686, 540, 1272, 593, 3618, 267, 972, 723, 1044, 930, 7168, 9490, 7068, 269, 1403, 596, 6836, 547, 1118, 513, 13442, 607, 9490, 607, 513, 3531, 2988, 639, 267, 585, 1383, 267, 596, 1175, 666, 1406, 1589, 540, 4376, 602, 2501, 2673, 256, 589, 1906, 4627, 2929, 1296, 3516, 267, 513, 13442, 5030, 1354, 519, 17878, 887, 3139, 519, 3618, 267, 543, 621, 729, 9490, 2614, 547, 723, 968, 680, 520, 2988, 639, 4567, 1848, 4653, 267, 649, 616, 2469, 547, 1451, 782, 827, 519, 3723, 17489, 16277, 850, 609, 1357, 5523, 3952, 267, 513, 13131, 779, 2766, 267, 543, 513, 561, 19123, 779, 2212, 2336, 295, 990, 553, 19653, 267, 519, 9490, 16277, 850, 602, 5030, 1354, 519, 942, 540, 519, 17878, 563, 295, 990, 553, 19653, 568, 606, 17255, 12593, 540, 20641, 602, 20705, 547, 519, 1019, 2355, 573, 804, 1228, 538, 519, 661, 657, 1276, 807, 1931, 563, 288, 12593, 568, 513, 1644, 1895, 540, 7068, 267, 543, 554, 990, 553, 19653, 1131, 723, 1044, 513, 3677, 1895, 540, 1644, 28499, 602, 782, 1185, 2147, 7592, 543, 2934, 269, 1452, 3504, 7068, 941, 1851, 519, 1101, 20641, 547, 723, 2479, 7902, 267, 609, 519, 1101, 20641, 1152, 17729, 476, 1911, 2929, 1296, 1354, 554, 990, 553, 19653, 563, 295, 990, 553, 19653, 20705, 547, 519, 1019, 2355, 573, 804, 1228, 267, 799, 18922, 547, 968, 18314, 30617, 892, 538, 513, 4704, 547, 519, 1079, 9475, 593, 1142, 2427, 540, 741, 15693, 338, 269, 4014, 554, 990, 553, 19653, 568, 1100, 3476, 1472, 267, 1019, 2355, 1749, 1869, 616, 256, 769, 1249, 267, 782, 2413, 20641, 267, 5017, 267, 543, 1256, 16015, 616, 1019, 2355, 1749, 543, 723, 5645, 593, 5176, 476, 7742, 2929, 1296, 2663, 607, 513, 1644, 13956, 656, 540, 554, 990, 553, 19653, 269, 901, 1895, 568, 5393, 3309, 267, 609, 930, 476, 1704, 267, 1822, 610, 811, 2249, 1869, 9800, 2221, 563, 1432, 1705, 670, 990, 553, 19653, 1413, 899, 888, 295, 990, 553, 19653, 729, 513, 9490, 561, 19123, 269, 898, 1131, 723, 1044, 513, 4130, 267, 28795, 561, 19123, 267, 4440, 1472, 476, 274, 1922, 324, 564, 689, 2212, 547, 2766, 269, 4706, 2212, 6743, 899, 513, 6093, 561, 19123, 2212, 267, 855, 621, 849, 1185, 1357, 5523, 3952, 899, 513, 21868, 543, 513, 19794, 24609, 539, 2766, 899, 513, 512, 611, 335, 1961, 610, 513, 4262, 13131, 563, 4322, 14624, 4847, 554, 990, 553, 19653, 547, 2661, 513, 10859, 8584, 638, 1738, 610, 11207, 12748, 1272, 269, 12824, 723, 513, 2312, 4605, 607, 547, 1018, 554, 990, 553, 19653, 6743, 899, 1317, 540, 875, 1455, 519, 15455, 616, 4362, 1282, 2007, 338, 563, 2691, 543, 1141, 1705, 670, 990, 553, 19653, 2661, 888, 295, 990, 553, 19653, 568, 606, 5393, 2025, 16277, 850, 269, 1358, 1101, 7902, 538, 519, 8093, 2594, 1282, 519, 17623, 18983, 1014, 1974, 543, 4682, 17255, 1282, 519, 7216, 10222, 26226, 1974, 267, 17364, 513, 942, 689, 10199, 476, 21857, 2929, 1296, 3516, 547, 476, 26316, 2929, 1296, 3516, 269, 670, 990, 553, 19653, 1131, 723, 1044, 3833, 3875, 267, 2523, 32198, 689, 875, 1082, 15455, 616, 20114, 540, 1585, 2818, 540, 519, 554, 990, 553, 19653, 12593, 563, 295, 990, 553, 19653, 15068, 3833, 513, 2603, 543, 568, 6592, 607, 2348, 1500, 621, 998, 519, 18983, 1014, 6874, 686, 26226, 14486, 2680, 269, 901, 14486, 2680, 729, 865, 7839, 602, 922, 1402, 2012, 568, 634, 4279, 667, 3539, 269, 898, 568, 9833, 607, 519, 1034, 4049, 14486, 2680, 1634, 547, 3425, 543, 8507, 538, 519, 14486, 540, 476, 10037, 260, 540, 782, 7286, 2249, 267, 476, 3583, 260, 540, 782, 18714, 9451, 24260, 2249, 267, 543, 476, 6872, 260, 540, 782, 6211, 3885, 269, 4634, 811, 267, 621, 729, 519, 4102, 1634, 2527, 14486, 540, 7786, 269, 670, 990, 553, 19653, 1500, 621, 998, 621, 782, 2336, 7628, 922, 10199, 476, 276, 2929, 4458, 17489, 6228, 267, 554, 990, 553, 19653, 5030, 538, 1018, 568, 1631, 2413, 6377, 28801, 269, 901, 3148, 1131, 723, 1044, 513, 26868, 1604, 1369, 513, 678, 3424, 14860, 269, 634, 4365, 1131, 723, 1044, 3636, 543, 18519, 267, 3501, 585, 513, 4130, 16277, 850, 269, 12207, 3494, 602, 554, 990, 553, 19653, 729, 606, 12748, 16277, 850, 267, 2523, 950, 3168, 693, 922, 2766, 543, 1357, 5523, 3952, 563, 1432, 1705, 670, 990, 553, 19653, 3548, 888, 295, 990, 553, 19653, 1131, 723, 1044, 5097, 533, 4593, 643, 5387, 267, 2495, 621, 17696, 3165, 269, 1306, 606, 12748, 561, 19123, 267, 554, 990, 553, 19653, 1131, 723, 6170, 1034, 540, 922, 942, 10122, 538, 519, 1216, 267, 15691, 547, 946, 922, 3532, 2766, 543, 1357, 5523, 3952, 547, 562, 574, 1076, 1847, 1472, 538, 519, 1216, 269, 4706, 2766, 568, 2663, 958, 24609, 539, 543, 5654, 5393, 2147, 547, 2413, 6377, 4262, 15315, 269, 901, 9542, 568, 4998, 585, 2831, 945, 6108, 513, 2603, 540, 942, 538, 519, 1216, 543, 991, 28377, 540, 3432, 269, 595, 10635, 617, 3796, 543, 32613, 2209, 723, 2147, 21217, 267, 1152, 811, 8185, 6186, 1819, 543, 23198, 563, 19102, 323, 4601, 267, 2789, 15455, 723, 1044, 1336, 602, 1397, 554, 990, 553, 19653, 609, 10007, 538, 922, 7181, 269, 12824, 3494, 891, 10007, 941, 1031, 607, 3440, 770, 269, 769, 1931, 547, 811, 3362, 16173, 543, 6952, 3165, 267, 554, 990, 553, 19653, 1131, 15179, 10007, 547, 3247, 3294, 689, 13735, 563, 268, 20821, 5272, 20550, 13239, 3171, 25733, 538, 30083, 26226, 2622, 18067, 542, 630, 1789, 11192, 994, 268, 20821, 519, 14066, 20550, 13239, 5494, 2642, 676, 476, 278, 268, 17413, 14114, 671, 454, 268, 3657, 20550, 14795, 1234, 696, 3796, 888, 14188, 596, 585, 2542, 256, 5620, 930, 5955, 585, 721, 286, 13555, 519, 589, 313, 12292, 21107, 2319, 563, 268, 2776, 18856, 13812, 267, 12232, 1934, 281, 5291, 2517, 4178, 269, 2181, 18856, 2914, 843, 5158, 2593, 4882, 23853, 10774, 10774, 990, 553, 19653, 11258, 0, 25369, 4987, 630, 9590, 264, 814, 1831, 606, 7533, 851, 540, 938, 2729, 267, 30507, 1585, 6080, 269, 2290, 1858, 1141, 3642, 568, 1818, 1713, 26058, 568, 538, 7393, 1857, 3106, 3800, 269, 634, 10167, 540, 3354, 543, 5092, 3255, 538, 3642, 568, 6679, 909, 1007, 7399, 585, 4180, 519, 3106, 543, 1134, 5630, 540, 2950, 563, 9590, 814, 519, 1761, 547, 2981, 519, 1259, 1857, 3106, 568, 14059, 269, 1635, 7421, 5318, 5666, 540, 1239, 267, 3642, 6620, 666, 2697, 3270, 543, 22114, 602, 3425, 1522, 4413, 269, 901, 6087, 1876, 11268, 8041, 547, 3713, 543, 2061, 10963, 811, 3927, 269, 1280, 1383, 267, 16762, 2384, 532, 3631, 13324, 676, 3642, 666, 948, 2697, 1164, 16151, 2127, 543, 21138, 2200, 9935, 267, 3056, 547, 513, 811, 14942, 1935, 547, 6760, 6604, 563, 1103, 1840, 547, 6760, 6604, 267, 3642, 666, 849, 1404, 513, 2629, 1909, 538, 6595, 3210, 269, 4438, 2067, 12469, 610, 824, 18002, 267, 942, 568, 540, 519, 9759, 269, 3642, 14617, 1949, 666, 5659, 1483, 6066, 1239, 689, 1585, 2959, 267, 971, 607, 1514, 2923, 543, 8596, 267, 547, 1683, 4977, 543, 12905, 1344, 547, 6595, 4431, 619, 269, 901, 6087, 873, 547, 1118, 5483, 3664, 543, 21138, 2200, 7561, 267, 6038, 9494, 2729, 563, 13010, 267, 3642, 666, 3986, 13178, 543, 5464, 1949, 267, 4180, 513, 10930, 1604, 585, 519, 1857, 269, 3642, 14617, 3381, 12642, 666, 5659, 2661, 22089, 689, 13178, 12514, 267, 8850, 16326, 19035, 2238, 610, 3615, 269, 901, 711, 1152, 6971, 519, 11411, 593, 1480, 12427, 855, 849, 10607, 519, 6111, 543, 3432, 540, 3463, 7020, 269, 3958, 267, 3642, 666, 5659, 1239, 689, 1585, 8596, 267, 971, 607, 7784, 3333, 582, 7020, 1949, 610, 2011, 2298, 21697, 267, 547, 1683, 2038, 21855, 543, 5512, 2656, 6114, 547, 1761, 6937, 563, 763, 1761, 540, 3642, 538, 1857, 3106, 814, 711, 8854, 29462, 676, 9520, 269, 634, 2344, 585, 3642, 538, 1857, 3106, 568, 4397, 547, 1332, 3648, 538, 519, 4947, 1296, 267, 9306, 29988, 5092, 3255, 269, 20764, 675, 3854, 1235, 543, 2029, 3549, 616, 8362, 10115, 538, 3642, 30596, 602, 1445, 593, 1857, 3106, 3156, 269, 1452, 9541, 711, 1152, 4492, 5647, 855, 849, 3565, 547, 519, 1646, 540, 5969, 12967, 4066, 602, 666, 3986, 1857, 3106, 3800, 563, 11101, 267, 519, 5610, 540, 3642, 538, 1857, 3106, 568, 711, 3908, 547, 1876, 11268, 8041, 269, 12829, 4872, 616, 5051, 12561, 3642, 4066, 547, 1711, 10930, 543, 811, 3608, 4683, 5054, 269, 3245, 10995, 6808, 2359, 1949, 547, 12747, 6595, 3210, 1949, 267, 3642, 568, 30507, 519, 1259, 4872, 7500, 269, 901, 6799, 513, 5318, 5044, 540, 5092, 3255, 538, 2127, 971, 607, 5989, 267, 6283, 267, 543, 1857, 2533, 563, 4913, 267, 607, 609, 1022, 6932, 2029, 267, 972, 616, 2591, 602, 991, 547, 581, 9619, 269, 21041, 4145, 543, 5683, 9270, 4478, 519, 946, 540, 3642, 538, 1857, 3106, 1590, 581, 5402, 4044, 730, 269, 3690, 10337, 543, 12477, 616, 2629, 547, 2327, 602, 3642, 6620, 616, 4023, 543, 28102, 269, 3958, 267, 972, 568, 513, 991, 585, 1697, 7939, 543, 23388, 547, 2061, 21568, 540, 3642, 4066, 563, 1103, 3932, 267, 3642, 568, 4730, 606, 5051, 1271, 1909, 538, 7393, 1857, 3106, 3800, 269, 3245, 6760, 6604, 547, 6595, 3210, 543, 13178, 267, 3642, 814, 519, 1761, 547, 22499, 519, 1259, 649, 2327, 519, 3106, 543, 1134, 5630, 540, 2950, 269, 634, 10167, 540, 3354, 543, 5092, 3255, 538, 3642, 6799, 513, 9621, 2104, 585, 1857, 3106, 269, 1717, 267, 621, 568, 1898, 547, 2232, 519, 2591, 543, 5683, 9270, 2404, 609, 3642, 547, 2327, 922, 3743, 543, 2500, 946, 538, 1857, 3106, 269, 0, 7312, 1216, 22865, 2837, 949, 711, 581, 1945, 596, 1589, 827, 1360, 1419, 267, 855, 621, 568, 2965, 1454, 811, 1271, 982, 596, 949, 8275, 547, 1832, 707, 1216, 22865, 1305, 693, 519, 1318, 2837, 269, 2659, 1216, 22865, 2837, 4016, 547, 519, 2837, 547, 799, 707, 1216, 22865, 646, 1846, 519, 1216, 602, 8928, 883, 621, 543, 4061, 8060, 519, 2837, 540, 519, 3905, 1216, 602, 8928, 689, 707, 1216, 22865, 883, 707, 1753, 269, 4014, 621, 949, 581, 1945, 602, 568, 711, 3335, 693, 519, 1283, 540, 938, 547, 28273, 1592, 267, 972, 949, 581, 2640, 547, 16715, 1216, 22865, 2837, 563, 2005, 568, 3833, 2009, 602, 707, 1216, 22865, 2837, 949, 581, 1932, 1164, 269, 901, 666, 581, 16609, 585, 1082, 4128, 267, 543, 972, 616, 2789, 5383, 2404, 609, 16715, 707, 1216, 22865, 2837, 547, 513, 4110, 602, 568, 2922, 543, 11151, 9190, 2208, 1247, 849, 9494, 1648, 543, 9319, 7050, 5957, 543, 15237, 593, 707, 1216, 22865, 269, 5901, 2542, 547, 1451, 811, 827, 519, 6099, 2837, 585, 707, 1216, 22865, 267, 1946, 596, 949, 1616, 547, 2015, 16715, 707, 1216, 22865, 2837, 267, 543, 875, 547, 4188, 707, 1216, 22865, 2837, 563, 3963, 13722, 2659, 4826, 1261, 831, 18323, 888, 2467, 616, 1082, 2640, 540, 16715, 707, 1216, 22865, 2837, 269, 1452, 2640, 1331, 14178, 519, 14438, 540, 707, 1216, 22865, 607, 1134, 607, 4543, 596, 4688, 1713, 5666, 540, 1648, 543, 2724, 593, 7622, 12014, 563, 2691, 707, 1216, 22865, 2837, 568, 1305, 1932, 1164, 267, 513, 1713, 2179, 540, 3002, 568, 4503, 998, 1796, 2421, 3002, 2530, 30147, 1312, 22837, 1648, 543, 11479, 909, 707, 3154, 610, 3167, 3915, 269, 1403, 519, 1216, 3330, 707, 1216, 22865, 568, 1932, 3905, 267, 7777, 11159, 666, 849, 1628, 909, 3330, 707, 1216, 22865, 543, 2014, 707, 1216, 22865, 547, 5957, 856, 543, 991, 547, 581, 8719, 1454, 811, 3533, 982, 621, 1058, 269, 589, 1216, 22865, 2837, 602, 568, 1932, 1164, 666, 1256, 2333, 519, 1981, 540, 5906, 9470, 3429, 10913, 538, 707, 1753, 267, 799, 666, 1267, 538, 2034, 268, 610, 1256, 3791, 24266, 17236, 1765, 18034, 585, 1453, 543, 20650, 563, 1432, 568, 519, 8838, 2711, 4826, 1261, 831, 18323, 888, 2467, 568, 930, 7521, 936, 519, 6099, 1216, 22865, 2837, 269, 898, 568, 1271, 711, 547, 1305, 707, 1216, 22865, 2837, 1932, 1970, 610, 1932, 1164, 269, 1717, 267, 621, 568, 513, 1454, 811, 1455, 1966, 547, 723, 707, 1216, 22865, 2837, 1305, 1932, 1164, 2864, 982, 1932, 1970, 269, 17553, 707, 1216, 22865, 2837, 1932, 1164, 666, 1291, 547, 1022, 610, 782, 540, 519, 1657, 4539, 267, 1519, 23494, 1164, 7622, 12014, 543, 24906, 1648, 563, 763, 6099, 2837, 2039, 585, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6178, 538, 547, 1376, 2921, 2962, 269, 3502, 513, 6820, 18299, 523, 2943, 286, 6178, 909, 269, 8729, 585, 19142, 909, 607, 513, 2518, 12504, 563, 2691, 1250, 1032, 6040, 5067, 5143, 803, 646, 729, 8744, 1010, 1007, 8004, 23136, 1753, 621, 779, 606, 538, 1410, 322, 20608, 8086, 593, 519, 5595, 4441, 540, 938, 3023, 626, 2486, 28791, 621, 779, 606, 4587, 4807, 6580, 1250, 5067, 543, 1287, 594, 6557, 899, 281, 968, 24445, 519, 7128, 17373, 3652, 19928, 12781, 5204, 526, 1709, 23467, 1299, 16296, 22868, 5507, 14970, 634, 563, 6826, 2386, 547, 4734, 5955, 1210, 519, 2048, 20055, 685, 7735, 593, 519, 5377, 1318, 540, 1142, 2985, 256, 634, 5398, 6184, 18936, 2985, 593, 8549, 8802, 3563, 269, 634, 5398, 6184, 18936, 2985, 949, 849, 1331, 6054, 16516, 585, 2663, 2152, 267, 693, 519, 7662, 540, 519, 29307, 8116, 269, 634, 5518, 540, 519, 2136, 2276, 21314, 519, 4238, 540, 519, 15445, 7936, 540, 6554, 998, 15445, 9753, 563, 763, 5518, 540, 519, 2136, 2276, 31825, 1344, 593, 14812, 267, 16033, 725, 267, 2027, 2616, 1734, 267, 4123, 267, 543, 3609, 998, 1160, 743, 600, 725, 269, 634, 5518, 540, 519, 2136, 2276, 2152, 824, 2010, 540, 6054, 267, 1519, 855, 711, 3908, 547, 282, 8357, 7701, 267, 711, 1182, 267, 1999, 5209, 267, 5022, 267, 6835, 267, 543, 9753, 269, 3962, 3561, 11540, 593, 519, 3135, 2882, 513, 3095, 547, 519, 7222, 4013, 7300, 3758, 593, 979, 341, 16769, 563, 22154, 568, 930, 13191, 3243, 523, 7400, 29172, 27535, 1946, 621, 779, 942, 547, 16826, 856, 6628, 779, 3023, 626, 18472, 3652, 454, 310, 31581, 808, 269, 25303, 21969, 577, 2073, 945, 568, 9870, 2947, 20766, 267, 11540, 513, 1305, 540, 1010, 1378, 3652, 593, 9365, 543, 17749, 602, 723, 2094, 1044, 3838, 936, 476, 1704, 267, 2053, 269, 1358, 616, 513, 10950, 22576, 689, 519, 8929, 30516, 1606, 1782, 532, 6937, 695, 709, 4765, 538, 6757, 27828, 602, 616, 6093, 540, 891, 5686, 540, 4651, 569, 8638, 269, 5080, 29418, 711, 1102, 584, 11868, 269, 1809, 519, 2186, 540, 2022, 1005, 676, 18971, 540, 20766, 594, 729, 4481, 14775, 547, 1185, 4986, 547, 798, 609, 602, 2048, 23181, 633, 15859, 685, 543, 3388, 547, 798, 609, 7682, 532, 741, 17282, 936, 2021, 543, 17923, 513, 3661, 602, 2021, 991, 2367, 547, 1491, 1416, 540, 873, 563, 12024, 21969, 577, 1767, 267, 972, 568, 4986, 20244, 4636, 609, 3237, 1373, 8825, 540, 741, 1453, 563, 300, 558, 779, 968, 305, 2737, 585, 25441, 3733, 12312, 892, 3657, 607, 14068, 607, 667, 611, 779, 968, 305, 2737, 585, 25441, 3733, 667, 5922, 892, 898, 729, 513, 14973, 1491, 593, 519, 968, 305, 2737, 585, 25441, 3733, 667, 5922, 269, 538, 835, 7362, 581, 5386, 609, 835, 1592, 855, 1287, 3956, 3023, 626, 28067, 693, 519, 824, 269, 476, 271, 563, 5719, 4011, 1695, 5617, 548, 267, 513, 31909, 6530, 7548, 267, 5280, 609, 1382, 6029, 519, 9363, 1379, 540, 4008, 11475, 269, 17421, 676, 7261, 17036, 8845, 269, 595, 826, 519, 3803, 8614, 16985, 344, 256, 634, 3173, 10443, 519, 678, 1497, 676, 1079, 2516, 281, 645, 308, 6530, 1053, 543, 1453, 267, 6502, 476, 278, 547, 476, 1704, 267, 689, 15588, 1467, 4832, 13122, 269, 8682, 17393, 8282, 8706, 1235, 1705, 1732, 267, 1352, 3081, 267, 855, 1256, 865, 267, 476, 4281, 2600, 1705, 711, 2161, 519, 18874, 729, 519, 3993, 269, 4270, 267, 646, 1223, 723, 1079, 18971, 563, 301, 528, 1223, 1896, 540, 1200, 2828, 269, 1548, 1500, 31935, 513, 18874, 3158, 865, 2352, 286, 15232, 666, 723, 930, 1198, 538, 938, 6562, 553, 267, 855, 1454, 1447, 982, 649, 1522, 18783, 269, 634, 3070, 286, 12344, 519, 1152, 5065, 540, 570, 1370, 517, 267, 715, 269, 11785, 2160, 15645, 919, 8292, 547, 7520, 606, 5483, 267, 6086, 633, 267, 3540, 6643, 563, 6781, 15133, 267, 1527, 2033, 267, 1582, 1790, 668, 10899, 267, 22801, 267, 1651, 334, 6254, 610, 1055, 2389, 8084, 8292, 786, 581, 15653, 563, 1692, 547, 2911, 547, 707, 3214, 827, 3023, 281, 1323, 2085, 8386, 21943, 3391, 454, 307, 22736, 547, 707, 4819, 827, 3023, 666, 581, 18447, 269, 1924, 649, 4280, 519, 4966, 875, 543, 950, 547, 3382, 3388, 689, 3023, 543, 23648, 547, 4008, 3961, 543, 9844, 269, 14811, 25669, 918, 6339, 17507, 5181, 476, 2190, 267, 2701, 5143, 9887, 602, 267, 950, 621, 3357, 547, 875, 547, 2911, 547, 3214, 827, 3023, 267, 1352, 1131, 581, 1930, 543, 9237, 563, 29638, 11475, 666, 581, 513, 1267, 540, 4008, 23462, 281, 6690, 543, 8695, 616, 10867, 779, 3023, 883, 7156, 630, 324, 3052, 1421, 7206, 519, 4055, 4544, 952, 519, 1126, 568, 513, 7911, 267, 15706, 4835, 1125, 1514, 6788, 585, 4008, 8155, 543, 13789, 9935, 269, 27258, 543, 6690, 4043, 547, 1514, 1125, 1927, 267, 4352, 6580, 6238, 547, 2049, 563, 23873, 16340, 26511, 15278, 5851, 269, 5606, 4842, 728, 568, 519, 796, 32016, 11318, 540, 1360, 1762, 1453, 269, 898, 568, 1336, 538, 1312, 6805, 543, 10427, 4529, 1472, 519, 1158, 269, 898, 568, 849, 4330, 607, 4008, 5498, 29193, 11318, 610, 968, 326, 754, 2075, 728, 6100, 5381, 1913, 899, 2048, 326, 2106, 17462, 685, 543, 2048, 325, 2438, 728, 685, 616, 1031, 547, 4766, 519, 11318, 540, 8951, 540, 1022, 2085, 269, 21058, 1102, 4842, 728, 568, 811, 1455, 982, 5256, 1102, 4842, 728, 267, 543, 538, 930, 2477, 267, 3226, 3127, 543, 3624, 267, 568, 2693, 547, 723, 3978, 4539, 593, 519, 3666, 540, 519, 28486, 538, 519, 2551, 563, 18131, 616, 9228, 607, 7449, 969, 1304, 1317, 540, 741, 1909, 607, 1416, 3464, 543, 4630, 655, 5474, 267, 15029, 2367, 15866, 2327, 519, 1920, 779, 1514, 543, 2804, 6617, 563, 1432, 519, 6370, 936, 513, 476, 278, 4458, 6040, 1098, 8004, 1223, 1611, 585, 3885, 18487, 454, 300, 1122, 534, 779, 4521, 729, 21892, 593, 2904, 476, 1704, 628, 267, 23729, 534, 779, 4521, 31433, 602, 513, 10315, 581, 711, 1881, 540, 1126, 25476, 23493, 972, 543, 7264, 723, 1569, 547, 602, 1344, 269, 2060, 519, 9153, 540, 513, 21937, 267, 1200, 7023, 561, 3293, 1200, 883, 1010, 1753, 1141, 646, 986, 6244, 267, 1193, 22931, 543, 3411, 11343, 1200, 269, 4173, 1560, 729, 28077, 883, 513, 5068, 11442, 9221, 543, 546, 22981, 538, 513, 7404, 6288, 563, 20657, 3547, 540, 1382, 593, 1126, 543, 4008, 1646, 267, 543, 2833, 540, 1106, 6793, 3652, 610, 6788, 585, 875, 1142, 4008, 31136, 543, 5654, 513, 4008, 1909, 519, 2937, 1281, 711, 12314, 609, 602, 1126, 779, 6211, 3023, 269, 22229, 256, 1070, 1010, 3993, 13290, 547, 948, 1864, 581, 2699, 676, 11488, 1864, 856, 593, 513, 1404, 4266, 609, 513, 563, 3891, 3081, 602, 3896, 1657, 267, 855, 269, 13966, 609, 3375, 1651, 1758, 17010, 7154, 6580, 813, 2451, 2490, 799, 269, 15526, 1568, 909, 269, 5245, 3085, 1406, 723, 1044, 9516, 609, 25588, 1010, 620, 3316, 1014, 2021, 941, 782, 3370, 922, 5553, 540, 620, 3316, 807, 3370, 922, 25937, 269, 1403, 4896, 779, 3893, 620, 3316, 1014, 281, 4158, 610, 1175, 4266, 540, 513, 9420, 812, 267, 579, 269, 4855, 3860, 2081, 547, 519, 5168, 568, 519, 2951, 5796, 827, 513, 28138, 2262, 1931, 602, 18246, 24349, 2528, 269, 27603, 1973, 10623, 644, 338, 4266, 1394, 547, 9794, 707, 7005, 568, 1100, 563, 8133, 972, 616, 1869, 1082, 3652, 13258, 269, 24153, 281, 476, 1556, 949, 2073, 519, 7005, 543, 593, 23930, 4170, 267, 1565, 930, 620, 3316, 1014, 6690, 269, 4475, 267, 513, 812, 543, 972, 616, 1869, 1082, 3652, 269, 24153, 281, 544, 2378, 807, 695, 336, 18967, 732, 616, 1869, 1082, 3652, 6580, 2206, 956, 2713, 538, 21429, 269, 8409, 3652, 543, 4807, 711, 3486, 1876, 2486, 729, 513, 1032, 689, 454, 2005, 779, 3579, 952, 596, 2461, 711, 513, 4807, 267, 543, 476, 280, 824, 3652, 585, 6580, 1250, 5067, 454, 7712, 519, 2085, 540, 476, 276, 267, 1352, 814, 29739, 1352, 568, 513, 8004, 269, 3767, 700, 10044, 568, 476, 278, 267, 543, 1282, 5480, 5873, 902, 267, 13500, 267, 1153, 5234, 267, 543, 1920, 2818, 723, 782, 1449, 1881, 602, 700, 10044, 814, 9846, 267, 6414, 1836, 4857, 607, 513, 8004, 563, 2704, 3316, 1014, 6580, 3652, 1107, 19193, 543, 3406, 936, 476, 2412, 2929, 2206, 956, 281, 13292, 15012, 519, 6205, 538, 1894, 2533, 543, 1265, 513, 4266, 2221, 269, 24153, 281, 4158, 610, 519, 3023, 626, 2631, 540, 519, 2418, 540, 519, 3652, 13258, 269, 3652, 585, 6580, 1250, 5067, 1509, 324, 563, 296, 6068, 8384, 1200, 1205, 21039, 909, 547, 979, 856, 547, 12129, 610, 15472, 269, 901, 729, 1394, 538, 519, 521, 267, 543, 519, 16921, 1352, 18584, 8057, 909, 538, 519, 476, 2004, 338, 543, 476, 2568, 338, 267, 543, 789, 1131, 2097, 547, 519, 2777, 543, 4584, 1200, 909, 269, 1358, 1419, 4547, 5810, 2443, 1256, 593, 2523, 286, 3733, 3158, 1031, 891, 4205, 607, 3255, 547, 4001, 1200, 3214, 25654, 267, 543, 649, 4121, 827, 24373, 3946, 267, 10962, 835, 779, 1582, 543, 3168, 519, 824, 1268, 538, 519, 3750, 950, 596, 12038, 563, 288, 1906, 540, 891, 16921, 5828, 883, 3347, 602, 16768, 513, 1906, 3275, 267, 543, 538, 1346, 2665, 267, 952, 789, 1185, 3214, 267, 649, 8910, 782, 723, 856, 902, 269, 594, 3314, 513, 1906, 2053, 3025, 12008, 936, 693, 938, 2777, 269, 4653, 267, 950, 594, 5873, 2582, 3237, 2911, 827, 6580, 267, 519, 1034, 1455, 9183, 568, 7996, 2394, 519, 9589, 3670, 18881, 1665, 547, 6338, 606, 993, 712, 547, 519, 3214, 563, 19667, 528, 1027, 15185, 1256, 20102, 3858, 602, 519, 3214, 786, 711, 2482, 4064, 593, 513, 11509, 7649, 2394, 3368, 513, 1032, 814, 5293, 269, 901, 568, 20060, 1619, 269, 0, 14140, 15913, 540, 683, 25659, 454, 5445, 941, 849, 1572, 13259, 597, 610, 2806, 327, 597, 269, 898, 568, 10924, 602, 646, 12199, 18310, 693, 827, 476, 4281, 276, 7460, 269, 634, 4583, 932, 1481, 23902, 18885, 630, 4289, 539, 538, 20648, 1158, 6561, 3135, 1592, 264, 11454, 729, 849, 3710, 1282, 713, 1974, 269, 2991, 519, 2887, 540, 519, 700, 747, 577, 6409, 529, 3357, 519, 26864, 320, 1974, 1282, 799, 519, 5748, 540, 519, 2749, 540, 23006, 760, 584, 630, 331, 831, 22186, 332, 663, 340, 264, 729, 9788, 269, 7201, 519, 681, 11446, 267, 18310, 9738, 1894, 609, 13259, 597, 729, 1776, 10800, 615, 323, 543, 1352, 23311, 5198, 689, 3127, 269, 20961, 19092, 263, 4985, 264, 3040, 20961, 15913, 729, 519, 15194, 15913, 540, 8003, 540, 717, 1251, 3873, 2394, 476, 12293, 279, 543, 540, 519, 8003, 540, 18310, 689, 476, 12293, 279, 547, 476, 2764, 2904, 476, 1220, 279, 269, 1358, 941, 849, 1572, 13259, 597, 610, 2806, 327, 597, 269, 634, 2063, 4622, 540, 717, 29914, 15913, 729, 962, 27232, 320, 2871, 24473, 269, 1261, 568, 676, 2470, 729, 513, 1870, 2006, 269, 634, 1101, 4622, 540, 717, 29914, 15913, 729, 13225, 4157, 339, 16120, 269, 589, 9425, 2647, 10806, 15198, 689, 519, 717, 663, 13403, 547, 7654, 519, 24230, 328, 4667, 547, 723, 11478, 896, 1864, 269, 16816, 6320, 267, 972, 941, 476, 3066, 15438, 540, 713, 15913, 945, 12199, 936, 18310, 585, 827, 476, 14338, 276, 1296, 269, 634, 26864, 320, 15913, 7153, 538, 519, 2063, 851, 540, 519, 4158, 6502, 269, 1358, 941, 10692, 538, 17230, 543, 17454, 8862, 541, 1282, 519, 10120, 1974, 269, 1323, 13091, 538, 476, 4350, 275, 543, 476, 1001, 276, 729, 10032, 538, 3875, 17260, 543, 6561, 4609, 267, 2523, 538, 519, 22186, 332, 663, 340, 9503, 269, 27526, 27074, 570, 11420, 17763, 12462, 21914, 540, 519, 28202, 821, 593, 519, 9701, 619, 14615, 729, 513, 4622, 540, 17230, 269, 4340, 547, 519, 12225, 1834, 630, 289, 4461, 822, 8932, 264, 540, 31489, 6312, 4459, 267, 17340, 21648, 12199, 936, 18310, 689, 827, 476, 12010, 645, 5861, 269, 634, 700, 747, 32713, 616, 1767, 547, 723, 28953, 883, 18310, 689, 5087, 3127, 538, 1472, 476, 7742, 589, 6185, 269, 962, 6545, 27256, 2871, 24473, 729, 519, 2063, 4622, 540, 713, 15913, 269, 1261, 5697, 513, 533, 1190, 10800, 615, 323, 267, 13225, 4157, 339, 16120, 547, 581, 519, 1101, 4622, 538, 519, 1899, 540, 519, 575, 29914, 630, 322, 578, 615, 323, 264, 15913, 269, 634, 3504, 1686, 540, 18310, 568, 18584, 1394, 547, 476, 4968, 271, 645, 5861, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]